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Created December 5, 2013 15:58
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Pyndamics MCMC examples
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using Pyndamics to Perform Bayesian Parameter Estimation in Dynamical Systems\n",
"\n",
"Pyndamics provides a way to describe a dynamical system in terms of the differential equations, or the stock-flow formalism. It is a wrapper around the Scipy odeint function, with further functionality for time plots, phase plots, and vector fields. The MCMC component of this package uses pymc (version 2 right now): http://pymc-devs.github.io/pymc/. \n",
"\n",
"Page for this package: [https://code.google.com/p/pyndamics/](https://code.google.com/p/pyndamics/)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from pyndamics import Simulation\n",
"from pyndamics.mcmc import MCMCModel"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A linear growth example\n",
"\n",
"Data from [http://www.seattlecentral.edu/qelp/sets/009/009.html](http://www.seattlecentral.edu/qelp/sets/009/009.html)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t=array([0,2,4,6,8,10,12])\n",
"h=array([1.0,1.5,2.2,3.2,4.3,5.2,5.6])\n",
"\n",
"plot(t,h,'-o')\n",
"xlabel('Days')\n",
"ylabel('Height [cm]')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"<matplotlib.text.Text at 0x1095d1a10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Dh3xv/S6ZD1p26NBB48aNK/ZQAAAE0wcfmArJ7t3maMDly1m4ATgr4KX7k08+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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1095ca810>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Run an initial simulation\n",
"\n",
"Here, the constant value ($a=1$) is hand-picked, and doesn't fit the data particularly well."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim=Simulation()\n",
"sim.add(\"h'=a\",1,plot=True)\n",
"sim.add_data(t=t,h=h,plot=True)\n",
"sim.params(a=1)\n",
"sim.run(0,12)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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rK1YwmQWINTLoAACkMNuWVq70nxkPNc+csYmAWWjQ4Xhk8cxG/cxF7ZytYZ55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\niIjIhrBAJyIiIiKyISzQiYiIiIhsyP8AZrE4Y4UF5GsAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x109720110>"
]
},
{
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x109771e90>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the model parameter, $a$\n",
"\n",
"Specifying the prior probability distribution for $a$ as uniform between -10 and 10."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model=MCMCModel(sim,{'a':[-10,10]})\n",
"model.fit(iter=25000)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 3% ] 886 of 25000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 6% ] 1747 of 25000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 10% ] 2607 of 25000 complete in 1.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [----- 13% ] 3430 of 25000 complete in 2.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------ 16% ] 4117 of 25000 complete in 2.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------- 19% ] 4985 of 25000 complete in 3.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-------- 22% ] 5733 of 25000 complete in 3.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--------- 25% ] 6469 of 25000 complete in 4.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [----------- 29% ] 7306 of 25000 complete in 4.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------------ 32% ] 8106 of 25000 complete in 5.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------------- 35% ] 8899 of 25000 complete in 5.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-------------- 38% ] 9699 of 25000 complete in 6.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--------------- 42% ] 10524 of 25000 complete in 6.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------45% ] 11274 of 25000 complete in 7.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------48% ] 12056 of 25000 complete in 7.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------51% ] 12804 of 25000 complete in 8.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------54% ] 13624 of 25000 complete in 8.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------57%-- ] 14478 of 25000 complete in 9.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------61%--- ] 15288 of 25000 complete in 9.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------64%---- ] 16129 of 25000 complete in 10.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------67%----- ] 16954 of 25000 complete in 10.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------71%------- ] 17769 of 25000 complete in 11.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------74%-------- ] 18618 of 25000 complete in 11.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------77%--------- ] 19368 of 25000 complete in 12.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------80%---------- ] 20126 of 25000 complete in 12.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------83%----------- ] 20885 of 25000 complete in 13.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------86%------------ ] 21664 of 25000 complete in 13.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------89%-------------- ] 22409 of 25000 complete in 14.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------92%--------------- ] 23182 of 25000 complete in 14.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------95%---------------- ] 23968 of 25000 complete in 15.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 24736 of 25000 complete in 15.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 25000 of 25000 complete in 15.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Time taken: 15.76 s\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What is the best fit parameter value?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.a"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"0.3917653066312086"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rerun the model"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim.run(0,12)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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71hqUfOAB6dRDteRkqX9/P4OSBuN7D45sul9//XV5vV55vV69/PLL8d4OAABR\nc+iQdXLdt6/CBiWl7wcln3mGQUnAZI7LdG/dulVXXHGFgsGgDh48qKlTp+quu+4K+zgy3QAA040c\nKc2bZz8omZRkXRNIlASIL1dmukOhkCZMmKBzzz1X9913X7y3AwBAVGzfLvXsKc2da99w+3xSRQUN\nN+Amjmq6//KXv2jhwoV69dVX1aZNm3hvB1FCrs1s1M9s1C++amulgQOlbt2kLVvC1+sGJQsLw6Mk\n1M5s1A+Oabq//PJLPf7443rooYc0aNCgeG8HAICIGjtWat1aWro0fI0nSgLu54iH49TU1OiOO+5Q\nRkaGnnrqqXhvB1GWk5MT7y2gBaif2ahf7B0+LGVlWXdrn6pVK+nGG6UZM848JEntzEb94Iime9Kk\nSVq7dq2WLFmis88+O97bAQAgIj76SLr5ZqmmJnwtJUUqKeFkG0gUcY+XLF++XE8//bQeffRR9e/f\nP97bQQyQazMb9TMb9YuNnTutpnrUqPCGu7lREmpnNuqHuJ5019TU6M4779TFF1+sP/zhD7Yfc7or\nWvLy8pSRkSFJSk1NVWZm5on/fVP3h5vXvOY1r3nN61i9Dgalq67ya906SbLWJf93/8yRzyc98IBf\n7dpJqalN+/x1nPT75TX1c+PrtWvXqrKyUpIUsHs0bDPF9Z7uyspKdezYsVEf++CDD+r5558/8Zp7\nugEATvLTn0qzZ9tHSbhzGzBXpHrOuJ50t27dWr/4xS/k8XjC1latWqU1a9YoOztbF198sbKysuKw\nQwAATu/IEWnAAPtBScm6c3vmTJ4mCSQ6xz2Rsk5+fr4mTZrEEyldyO/3n/jfODAP9TMb9YusefOs\nfHYsBiWpndmon7lccdINAICJdu+WeveWvv02fC05WcrObtw1gAAShzfeG2iIx+OxjZ3AfPxN32zU\nz2zUr2WCQWnwYOm88+wbbp9PKi+XCgoi33BTO7NRPzg2XnImxEsAALF0663WoOTx4+FrDEoC7hWp\nntOxJ91wr1OvT4JZqJ/ZqF/THT0q9e0rvf22fcPt80kVFdFvuKmd2agfyHQDANCA+fOlkSN5oiSA\nliNeAgDAKSoqpF69GJQEQLwEAICIC4WkIUOkLl1iPygJwN1ouhFz5NrMRv3MRv0atmGD1LWr9Mkn\nVvN9sqQk6+E3hYXxa7apndmoH2i6AQAJ7ehR6ZprpEsvlXbuDF+P1aAkAHcj0w0ASFh+vzRihP2t\nJAxKApDJd2tzAAAgAElEQVTIdAMA0Gx79kjt20s33BDecHu91ul2WRkNN4DIoelGzJFrMxv1M1ui\n1y8UknJypLQ06cCB8PW0NKm0NL7Z7YYkeu1MR/3APd0AgITw9ddWw71jR/gaT5QEEG1kugEArlZd\nLQ0caDXVdnw+aeZM551sA3CGSPWcnHQDAFzr00+lYcMYlAQQf2S6EXPk2sxG/cyWKPXbt0+65BJp\n8GD3DEomSu3civqhSU13bW2t/vKXv6h///5KSUlRq1atTqytWbNGv/rVr/T1119HfJMAADRGKGTd\nSNK5s/TVV+HrTh6UBOBujc50Hzt2TCNHjpTf71enTp30gx/8QDt27FAwGJQk7d+/X+eff74ee+wx\nTZo0Kaqblsh0AwDq27TJeoT79u3268XFDEoCaLqY39M9efJk+f1+TZw4UTt37tQ999xTb71Dhw7K\nzs5WYWFhizcFAEBjHTsmXXutdOGF9g13SooUCNBwA4ivRjfdM2bMUFZWliZOnFgvVnKyHj16qLy8\nPGKbgzuRazMb9TOb2+q3eLHUrp20cmX4WnKylJtrXna7IW6rXaKhfmj07SVbtmzR6NGjT/sxHTt2\n1N69e1u8KQAATmf/fikrS9qwIXzN67VuLOEaQABO0uim++yzz1ZlZeVpP2br1q1K5b9wOIOcnJx4\nbwEtQP3MZnr9QiGrofb7rZ+fKi1NKipyx8n2qUyvXaKjfmh0vKRv374qLCxUdXW17XpVVZXmzp2r\n6667LmKbAwCgTmmp1L27tHChfcNdXCzt2uXOhhuA+RrddN97773aunWrbr/9dh04cKDe2v79+5WX\nl6d9+/bpvvvui/gm4S7k2sxG/cxmYv2OH5euu07q1Uv65pvw9UQZlDSxdvge9UOj4yU///nPNW/e\nPE2bNk1z5sw5ESPp16+f1q1bp2PHjulXv/rVGXPfAAA01mefWdcA2j1RMjlZys6WZswguw3A+Rp9\nT3edadOmacqUKSouLj7x3mWXXaZHHnlEEyZMiPgGG8I93QDgXpWV1qDkl1+GrzEoCSCWItVzNrnp\nrnP48GHt379f7du3V7t27Vq8kaai6QYA9wmFpOHDG85tu3lQEoAzxfzhOKdq06aNunXrFpeGG2Yj\n12Y26mc2J9cvELCa6QULGJS04+Ta4cyoH5rddAMAEAnHj0vPPiv17Clt3Rq+niiDkgDcrdHxkh49\nesjj8Zz2Y0KhkDwej0pLSyOyudMhXgIA5hszRiookGpqwtcYlATgBJHqORt9e0koFLL9gpWVlSeu\nEOzatavOOuusFm8KAOBuBw5IAwZIX3xhv+7zMSgJwF0aHS8JBAK2PyorK/X1119r5MiR6tWrl75o\n6L+gwHfItZmN+pkt3vWrG5Rs396+4U5KsrLbhYU03KeKd+3QMtQPEcl09+7dW++88462bdumP/zh\nD5H4lAAAlykvtyIj8+eHryUnS7m5UkUF2W0A7tTsKwPt3Hffffroo48UCAQi9SkbRKYbAMxQUyMN\nGiQtXx6+xp3bAJwu5pnuRn2ypCTt2LEjkp8SAGCwW26R/vUv+0FJ7twGkEgidmVgRUWFZs2apfT0\n9Eh9SrgUuTazUT+zxap+334rXX65NGuWfcOd6HduNwffe2ajfmj0Sfcf/vAH2ysDa2pqVF5ertmz\nZ6uqqkpPP/10RDcIADDLiBHSvHn2aykpUkkJzTaAxNPoTLfXe/pD8ZSUFD344IMxG6Qk0w0AzrJ1\nq9Snj3TwYPgad24DMFXMM90LFiywfd/r9apDhw669NJLlZQU0Yg4AMAAtbXWoOSyZeFrDEoCgCWi\nt5fEEifd5vL7/crJyYn3NtBM1M9ska7fT34izZnDoGQs8L1nNupnLkfeXgIASAwHD0pZWdLnn9uv\nFxdz3zYAnKzBk+7y8vJmf9Lu3bs3+9c2FifdABAfc+ZYJ9x2p9sMSgJwm0j1nA023V6vt1lfxOPx\nqLa2tsUba8zXoekGgNjZtk265BIGJQEklqjHS+68885mfUK7awWBk5FrMxv1M1tz6ldbKw0eLC1d\nar/u8zEoGQt875mN+qHBpnvatGkx3AYAwInGjpXef98+SpKUJK1aRXYbABqD20sAAGEOHZIGDGh4\nUJLTbQCJgttLAABR8cEH0o9/zKAkAERSk5vuoqIiFRYWatu2baqurrb9mFdeeaXFG4N7kWszG/Uz\n2+nqt2OHdNFFDEo6Fd97ZqN+aHTTHQqFNH78eL3++utn/FiabgAwRzBoDUouWWK/TpQEAFqu0Znu\nv/71r3rwwQd155136oEHHlC/fv304IMPaty4cVq0aJGefvppjR49Wk8//bQuiMH/dyTTDQAt9/nn\n1mPaKyrC1xiUBIA4ZLpfe+01XXTRRXr11VdPXAvYoUMHDRgwQAMGDNCNN96o66+/XsOHD9ddd93V\n4o0BAKLn8GHriZLFxfbrnG4DQGR5G/uBGzZs0LBhw+rdw11z0pRN3759NXr0aL344ouR3SFcx+/3\nx3sLaAHqZza/36+PPpLat7dvuFNSpEBAKiyk4XYavvfMRv3Q6KZbktq3b3/i523atNG+ffvqrV94\n4YX68ssvI7MzAEBE7dwp5eZKo0aF30zi9Vqn22Vl3EwCANHQ6HhJ165dtW3bthOve/bsqVWrVtX7\nmE2bNqlt27aR2x1cielts1E/8wSD0pAh1qBkKJQTtp6WJhUV0Ww7Hd97ZqN+aPRJ93XXXVevyc7N\nzdXy5cs1adIkrV+/Xn/72980e/ZsXX/99VHZKACg6datk84/X1q8WDp1DigpyYqY7NpFww0A0Xba\npnv27NkKBoOSpJ/+9Keqra3Vli1bJEmPPvqoMjIylJ+fryuuuEIPPPCAUlNT9cwzz0R/1zAauTaz\nUT8zHDki9e0rXXGFtHv3ySt+SVaUpKKCm0lMwvee2agfThsvueWWW9S1a1dNmDBBd999d728dqdO\nnbR69WpNnTpVmzZtUo8ePXTnnXfq/PPPj/qmAQANmzfPym7bPVGyTRvpiy842QaAWDvtPd0jRozQ\nxx9/LEnyer0aPny47r33Xv34xz9Wq1atYrZJO9zTDQD17d4t9e4tfftt+JrXa93HzTWAANA0keo5\nz/hwnEAgoJdfflmvvvqqtm/fLknq0qWL8vLydM8996hnz54t3kRz0HQDgCUYlHJy7HPbEoOSANAS\nkeo5zzhImZGRoT/+8Y8qKyvT+++/r5tvvll79uzRn//8Z1100UXy+Xx666236t3ZDZwOuTazUT9n\n+fJLqWtX6dNPGzcoSf3MRe3MRv3Q6NtLWrVqpZtuukmzZ89WeXm5/vSnP+mCCy7Q/Pnzddttt6lb\nt2567LHHtHHjxmjuFwAg6ehR6eqrpT59rKb6VAxKAoCznDFecjqhUEgLFizQ1KlTNWvWLFVXV8vj\n8ai2tjaSe7RFvARAolqwQBo5Ujp+PHwtJUUqKSFKAgCREqmes9EPx2loE4MHD9a+ffu0ZcsWFRUV\n0QgDQJRUVEgDB0p2/0ORQUkAcLYmPQb+ZBs2bNBvf/tb/fCHP9Rtt92moqIiZWRk6E9/+lMk9wcX\nItdmNuoXe6GQNSjZpYt9w52WJpWWSoWFZ264qZ+5qJ3ZqB+adNJ95MgRzZw5U1OnTtWSJUusT5CU\npLFjx+qee+7RiBEjorJJAEhUX31lNdw7d9qvFxefObedl5evQMD6eWVlQKmpfklSRoY0bVp+ZDYK\nADitRmW616xZo5deeklvvPGGKisrJUm9evXS3XffrQkTJigtLS3qGz0VmW4AblZdLWVlSatX2683\nJbudk5OvRYvyw94fMiRffn/4+wCA78Uk0/3iiy9q6tSpWrNmjSTprLPO0rhx43Tvvfdq6NChLf7i\nAIBwfr80YoT9oGRyspSdLc2YQXYbAExy2kz3v//7v2vNmjW66KKLNHnyZG3btk1vvPEGDTdahFyb\n2ahf9OzdK118sXTDDeENt9drXQNYXi4VFLSk4fa3cJeIF773zEb9cNqT7p///Oe69957NWTIkFjt\nBwASTigkDR0qLVrEEyUBwK1adE93PJHpBuAGGzdKV10lHTliv96YQckzIdMNAM3niHu6AQDNU11t\n3bm9apX9eiQfcpORIUn5DbwPAIgFTroRc36/Xzk5OfHeBpqJ+rXczTdLH34o2T28NyfHymu/+mp0\nBiWpn7mondmon7k46QYAw+zbZ10D+NVX9uuRiJIAAJyJk24AiLK6QcmGLi+IZJQEABBZkeo5m/0Y\neADAmW3eLLVrZ99wJydLublSWRkNNwC4HU03Yo67Ss1G/Rrn2DHpuuuk3r2lw4frr0Xuzu2mo37m\nonZmo34g0w0AEfajH0kffGA/KMmd2wCQmByR6f6P//gPrVy5Ul9//bX27t2r1q1bKz09XTfffLPu\nv/9+denSJezXkOkG4DT791uDkhs22K8zKAkA5olUz+mIpvvss8/WNddcoz59+igtLU2HDh3SZ599\nppUrV6pz585asmSJLrzwwnq/hqYbgFOEQtLw4dKCBfbrDEoCgLlcNUj57bffaunSpZo6daqeeuop\nTZkyRUVFRfrP//xP7dmzR88880y8t4gIItdmNupX35Yt1qCkXcPtxEFJ6mcuamc26gdHNN0/+MEP\nbN+/9dZbJUnbt2+P5XYA4IyOH7cGJXv2dNagJADAmRw9SDlnzhxJ4glOLkM9zUb9pDFjpH/9y8xB\nSepnLmpnNuoHR2S66zz77LM6ePCgqqqqtHLlSi1fvlx5eXn6+9//rrPOOqvex5LpBhBrVVXSgAHS\nl1/arzMoCQDu46pMd53nnntOkyZN0pQpU7RkyRL1799fP/vZz8IabpiNXJvZErF+oZD01ltSp072\nDXdKihQImNFwJ2L93ILamY36wVFN944dOxQMBrVr1y69++67qqio0IgRI/T666/He2sAElQgYA1E\njhsXHidx4qAkAMCZHBUvOVV5ebkuuugitW/fXrt27aq35vF4NH78eGVkZEiSUlNTlZmZeSIzVfc3\nSl7zmte8bs7r2lrpd7/L0fLlkmStSznf/dOva66RPv44R6mpztgvr3nNa17zOjKv165dq8rKSklS\nIBDQa6+95p57uk+nb9++Kikp0fbt2+s9JIdMN4BoGTPGunWkpiZ8LSlJWrXKjCgJAKDlXJnptrN9\n+3Z5PB61a9cu3ltBhNT9rRJmcnP9DhyQLrtMmj3bvuH2+aSKCrMbbjfXz+2ondmoH+LedG/cuFFV\nVVVh7weDQf3ud79TRUWFhg8frrZt28ZhdwASQSgkvfuu1LGj9MUX4et1g5KFhdy5DQBonrjHS154\n4QU98cQTys7OVkZGhjp16qRdu3Zp0aJF2rJliy644AItXLjwRHa7DvESAJFQXi716SMdOhS+lpws\nZWdLM2bQbANAoopUzxn3h+P4fD5t3rxZixcv1po1a1RZWank5GRdcskluvvuu3X//fcTLQEQcTU1\nVkO9bJn9us8nzZxJsw0AiIy4n3Q3Fyfd5vL7/SemhGEeN9TvllusJ0om4qCkG+qXqKid2aifuRJm\nkBIAIuXbb6UrrpBmzXLvoCQAwJk46QaQEGbPlsaODX/AjWQNSpaU8IAbAEA412S6ASCavvlGuvRS\n6eDB8DUGJQEAsUK8BDHHXaVmM6V+tbVSVpaUnm7fcPt81s0lBQWJ1XCbUj+Eo3Zmo37gpBuA66xZ\nI40YIe3ZE77m9kFJAIAzkekG4BoHD1qn259/br/ONYAAgKYi0w0AJ/nXv6yrAO1uJWFQEgAQb2S6\nEXPk2szmtPpt324NRN58c3jD7fVap9tlZTTcdZxWPzQetTMb9QMn3QCMVFsrDR4sLV1qv56WJhUV\n0WwDAJyBTDcA4xQXf/8gm1MxKAkAiCSeSAkg4Rw6JF11lZSZad9w80RJAIBT0XQj5si1mS1e9fvw\nQ+vWkZKS8LWUFCkQkAoLuZnkTPj+Mxe1Mxv1A003AEfbsUPq2VPKzWVQEgBgLjLdABwpGPx+UNLu\nW51BSQBALHBPNwDX+vxzafhwafdu+/XiYnLbAACzEC9BzJFrM1s063f4sNSpk9VQ2zXcddltGu7m\n4/vPXNTObNQPNN0AHGHUKOshN/v2ha8lJ1uZbrLbAABTkekGEFe7dklZWVJpafhaSoo0aJA0Ywa3\nkgAA4oNMNwCjBYPSkCHS4sX26z6fNHMmzTYAwB2IlyDmyLWZLRL1W79eatfOvuHmzu3o4vvPXNTO\nbNQPNN0AYubIEWtQ8vLLrZ+fjDu3AQBuRqYbQEyMHi199JEVKzkVd24DAJyKTDcAI+zeLQ0cKG3a\nFL6WlCStWsUVgAAA9yNegpgj12a2xtYvFLIGJbt0sW+4fT6pooKGO9b4/jMXtTMb9QMn3QAi7ssv\npWuuCc9tS9agZEkJURIAQGIh0w0gYo4ete7cXrMmfM3rlYYN4xpAAIBZyHQDcJSbbpI+/JBBSQAA\n7JDpRsyRazPbqfXbs0e66CKpoMC+4S4utp46ScPtDHz/mYvamY36gaYbQLOEQlJOjnTuudLGjeHr\ndQ+5YVASAAAy3QCa4auvpL597Qclk5Ol7Gxpxgyy2wAA85HpBhBz1dXWoOTq1eFrDEoCANAw4iWI\nOXJtZrrpJqltW2n1an/YWlqaVFoqFRbScDsd33/monZmo37gpBvAae3da51uf/21/XpxMbltAADO\nhEw3AFuhkPT661Jenv2tJDzkBgCQCMh0A4iajRulzEzp8OHwNQYlAQBoOjLdiDlybc517JjUr591\n77Zdw+3zSf/4h18FBTTcpuL7z1zUzmzUDzTdACRJP/qR1KaNtGpV+FpSkpXdLiyU2rWL/d4AADAd\nmW4gwe3bZw1KfvWV/brPxzWAAIDERaYbQIuEQtI//yndcQeDkgAARBvxEsQcubb427zZioncfnt4\nw52cLOXmSmVl9g039TMb9TMXtTMb9QMn3UACOXZMGjRIWrHCfp0oCQAA0UGmG0gQP/qR9MEHUm1t\n+FpSkjVAyUNuAACoL1I9J/ESwOUqK6VLL5XmzLFvuH0+qaKChhsAgGii6UbMkWuLjVBIevNNqXNn\nacOG8PWUFCkQsK4BbEqchPqZjfqZi9qZjfqBTDfgQlu2SJdfzhMlAQBwCjLdgIscP24NShYV2a8z\nKAkAQNNwTzeAepYtk0aPth52cyoGJQEAiC8y3Yg5cm2RVVUl9ekjDRhg33BHelCS+pmN+pmL2pmN\n+oGTbsBQoZD0zjvSz35mfysJT5QEAMA5yHQDBiorky67TDp0KHzN65WGDSO7DQBAJJDpBhJQTY01\nKLl8uf16Wpo1RMnpNgAAzkKmGzFHrq15VqyQunSxb7iTkqTiYmnXrug33NTPbNTPXNTObNQPNN2A\nwx04YEVJrrsuNoOSAAAg8sh0Aw4VCkmzZkm33sqgJAAA8RKpnpOTbsCB/t//k1q3ln7yk/CG2+u1\nTrfLymi4AQAwBU03Yo5cW8Nqaqz7tv/5T+nYsfD1tDSptFQqLIzfzSTUz2zUz1zUzmzUD9xeAjjE\nqlXSwIFSdXX4Gk+UBADAbGS6gTj79lupe3epsjJ8LTlZys6WZszgzm0AAOKBTDfgAiNGWM20XcPt\n80nl5VJBAQ03AACmo+lGzJFrk775RsrIkObNk4LB+mt1d27HM7d9OtTPbNTPXNTObNQPNN1ADNXW\nSllZUnq6dfvIqbhzGwAAdyLTDcTI2rXS9dfbD0py5zYAAM4UqZ6T20uAKDt40BqU3L8/fM3rlYYN\nk2bOdGaUpE5eXr4CgfD3MzKkadPyY7wbAADMQ7wEMZdIubaRI6X27e0bbifcud1YgYC0aFH+dz9y\nTvzcrhGHsyXS95/bUDuzUT9w0g1Ewfbt1p3bdk0pd24DAJB4OOlGzOXk5MR7C1FTW2s129262Tfc\n7hiUzIn3BtACbv7+cztqZzbqB066gQgpKZGuu45BSQAAEI6TbsSc23Jthw5JV11l/Ti14fZ6rdPt\nsjI3Ndz+eG8ALeC2779EQu3MRv3ASTfQAqNGWYOQpz7gRrIGJYuK3NFsZ2RIUr4kqbIyoNRU/0nv\nAwCAM+GebqAZdu60stulpfbrxcWm57YBAIAUuZ6TeAnQBMGgNGiQdP759g13Soo1QEnDDQAATkbT\njZgzNde2bp3Utq20ZEn4WnKylJvrtuy2PVPrBwv1Mxe1Mxv1A5lu4AyOHJEGDLAiI6cy5YmSAAAg\nvsh0A6eRmyvNnev+QUkAAGDPVZnuffv2aerUqbrlllvUu3dvtWnTRqmpqcrOztYrr7xCc42Y27VL\n6t1b+vBD+4a7uNj6GBpuAADQGI5oumfOnKl7771XK1as0IABA/Twww9r7NixWrdune6++26NGzcu\n3ltEBDk51xYMStnZ0nnnSZs3h68zKOns+uHMqJ+5qJ3ZqB8ckem++OKLNWfOHI0ePbre+0899ZSu\nu+46vfPOO3r33Xf1k5/8JE47RCL44gupXz8rw32q5GSrGZ8xg+w2AABoOsdnup9++mn97ne/0/33\n368pU6aceJ9MNyLlyBEpK0tauzZ8jUFJAAASW6R6TkecdJ9OUlJSvX8CkTR6tPTRRwxKAgCA6HJE\nprshNTU1mj59uiRp5MiRcd4NIsUJubaKCunCC6UPPmBQsqmcUD80H/UzF7UzG/WDo5vuxx9/XOvX\nr9fo0aPl8/nivR24QCgkvfKKNSi5aVP4OoOSAAAgGhyb6f7LX/6ihx56SJdeeqmWLFmi1FMCtWS6\n0VQbNkhXX82gJAAAaDxXZ7r/9re/6aGHHtJll12m+fPnhzXcQFMcPWoNSq5ZY7/u8zEoCQAAostx\nTfcLL7ygRx55RFdccYXmz5+vzp07N/ixeXl5ysjIkCSlpqYqMzNTOTk5kr7PTvHaea9PzrVF++s9\n+2zOdw+4qfuaOd/90y+vV1qzJkdXXumsfz9Ofx3L+vE68q+pn7mv695zyn543bTXde85ZT+8bvj1\n2rVrVVlZKUkKBAKKFEfFS/785z/riSeeUN++fTVv3jx17NixwY8lXmIuv99/4g93tOzZY51ub9xo\nv87pdvPFon6IHupnLmpnNupnrkj1nI5puv/4xz9q4sSJ6tevnwoLC88YKaHphp1QSJo+XbrrLvtb\nSVJSpJISbiUBAACN46qm+7XXXtOECRPUqlUr3X///UpJSQn7mB49emj8+PEnXtN041Rffy1lZjIo\nCQAAIsdVg5R1eZlgMKgXXnjB9mNycnLqNd0wV6T/F1t1tRUlWb3afp0oSWTxv0jNRv3MRe3MRv3g\njfcGJGnixIkKBoOqra1VMBi0/bFgwYJ4bxMO9MknUpcu9g13UpL1kJvCQhpuAAAQX46IlzQH8ZLE\ntm+fdbr91Vf265xuAwCASHBVvARorFDIymWPH8+gJAAAMIcj4iVILCffWdoUmzZJ7dpJd9wR3nB7\nvdbpdlkZDXe0Nbd+cAbqZy5qZzbqB0664XjHjllRklWr7NfT0qSiIpptAADgXGS64WiLF0tDh0rH\nj4evJSVZjfiVV8Z+XwAAIDGQ6Yar7d8v9eghVVWFr7VqZTXiDEoCAABTkOlGzJ0u1xYKWQ11p072\nDbfPZz3inWsA44dcotmon7mondmoHzjphmP87GfSe+9ZGe5TESUBAAAmI9ONuDt+XBo4UFqxwn6d\nO7cBAEC8kOmGK3z2mTRkiP2gJHduAwAAtyDTjZjz+/2qrLROrrOywhvu5GQpN5c7t52KXKLZqJ+5\nqJ3ZqB846UZMhULSI49Ia9daPz8VURIAAOBGZLoRM4GANHiwtHVr+BqDkgAAwIki1XMSL0HUHT8u\n9e9v3btt13D7fFJFBQ03AABwL5puRNXy5VK7dtZj2r/nl2QNSgYC3LltGnKJZqN+5qJ2ZqN+oOlG\nVFRVSR06SNdfH37vtsdjnW4zKAkAABIFmW5EVChkNdQLFtgPSqalWafeNNsAAMAE3NMNxykrk7Kz\nGZQEAAA4FfEStFhNjRUjycho3KAkuTazUT+zUT9zUTuzUT9w0o0WWblSGjRIqq4OX+OJkgAAABYy\n3WiWAwesp0muXx++5vVKw4bxkBsAAGA+Mt2ImxEjpPnzpWAwfI1BSQAAgHBkutFoW7daue158+wb\n7uJiadeuMzfc5NrMRv3MRv3MRe3MRv3ASTfOqLbWym0vW2a/TnYbAADg9Mh047RWr7ay23aDksnJ\n1hWBM2aQ3QYAAO5EphtRdfCgNGCAtG5d+BqDkgAAAE1DphthRoyQ2re3b7jT0qTSUqmwsPkNN7k2\ns1E/s1E/c1E7s1E/cNKNE7Zts7LbgYD9enExT5QEAABoDjLdUG2tNHiwtHSp/TqDkgAAIFFFquck\nXpLg1q6V2ra1b7iTk6XcXKmsjIYbAACgJWi6E9ShQ1ZUpG/f8JtJvF7J55PKy6WCgsgPS5JrMxv1\nMxv1Mxe1Mxv1A5nuBDRyZMMPuOGJkgAAAJFHpjuBbN9uDUpu2WK/zqAkAABAfWS60WjBoPRf/yX9\n8If2DXdKinVjCQ03AABAdNB0u1xJidSmjfTv/y6d+pe0eA1KkmszG/UzG/UzF7UzG/UDmW6XOnzY\nenx7cbH9us8X2ydK5uXln7j/u7IyoNRUvyQpI0OaNi0/NpsAAACIEzLdLjRqlPXESLtByaQkadWq\n2EdJcnLytWhRftj7Q4bky+8Pfx8AAMAJyHQjzM6dUq9e0kcf2TfcPp9UUUF2GwAAINZoul0gGJT+\n53+krl2l0tLw9bpBycLC2MVJTs8f7w2gBcglmo36mYvamY36gUy34datk669Vjp6NHwtOVnKzpZm\nzHBKsw0AAJCYaLoNdeSINSi5dq39eqwHJZsmJ94bQAvk5OTEewtoAepnLmpnNuoHmm4D5eZKc+c6\na1DyTDIyJCm/gfcBAADcjdtLDLJ7t3W6vXmz/bqzT7e/5/f7+Ru/waif2aifuaid2aifuSLVc3LS\nba1JEoEAABPdSURBVIBgUMrJkRYvDn/AjWQNSpaUxPYBNwAAAGg8Trod7tZbpdmzpePHw9cYlAQA\nAIguTrpd7uhRacAA+0HJVq2kG2+k2QYAADAF93Q70Pz51im2XcOdkmJlugsKzG24uavUbNTPbNTP\nXNTObNQPnHQ7SEWF1Lu3dOBA+BpREgAAAHOR6XaAUMgalPz0U/tBSVNuJQEAAHAbMt0uMW6cNGuW\n/aCkU+/cBgAAQNOQ6Y6T6mrpmmukt96yb7h9Pitu4saGm1yb2aif2aifuaid2agfOOmOA79fGjHC\nvtnmzm0AAAD3IdMdQ3v3Sj17MigJAABgikj1nMRLYqBuUPLcc+0bbp9PKi83+xpAAAAANIymO8q+\n/lrq1k1atCj8ZpKkJKm4WCosTKxmm1yb2aif2aifuaid2agfaLqjpLpa6tdPuvhiaceO8HU3D0oC\nAACgPjLdUfDpp9KwYQxKAgAAmI5MtwPt22fFRAYPDm+4vV7rdLusjIYbAAAg0dB0R0AoJN1wg9S5\ns1RVFb6eliaVliZedrsh5NrMRv3MRv3MRe3MRv3APd0ttHmzNGSItG1b+BpPlAQAAIBEprvZjh2T\nBg6UVq60X/f5pJkzOdkGAAAwWaR6Tk66m2HJEitOwqAkAAAAGoNMdxPs32+dXA8axKBkS5BrMxv1\nMxv1Mxe1Mxv1AyfdjRAKScOHSwsXhj/gRrIGJYuKaLYBAABgj0z3GWzZYl0B+M034WsMSgIAALgb\n93RH2fHj0nXXST172jfcPFESAAAAjUXTbeOzz6R27aQVK8LXUlKkQIA7t1uCXJvZqJ/ZqJ+5qJ3Z\nqB9ouk9SWSn16SNlZVlXAp6MQUkAAAA0F5luMSgJAAAAe9zTHSGBgDUouXWr/XpxMbltAAAAtEzC\nxkuOH5euv17q0cO+4a7LbtNwRx65NrNRP7NRP3NRO7NRPyRk011UZA1KLl8evpacLOXmkt0GAABA\n5CRUpvvAAWnAAOmLL8LXvF5p2DBp5kxuJQEAAICFTHcThELWzSMLFjAoCQAAgNhzfbykvFzKyJDm\nz7dvuIuLpV27aLhjiVyb2aif2aifuaid2agfHNF0v/3227r//vuVnZ2tlJQUeb1e3XHHHS36nDU1\n0vPPWw13eXn4OoOSAAAAiBVHZLozMzNVUlKi5ORkdevWTRs2bNC//du/afr06Q3+mtPla1aulAYN\nkqqrw9eSk6XsbGnGDLLbAAAAOL1IZbodcdL9wgsvaOPGjaqqqtKLL77Y7M/z7bfSFVdI115r33D7\nfNapd0EBDTcAAABixxFNd05Ojnr16iVJzf6bxIgRViO9bl34WlKSld0uLKTZdgJybWajfmajfuai\ndmajfnBE090SW7daue1586RgMHzd55MqKshuO8natWvjvQW0APUzG/UzF7UzG/WD0VcG9u6dr82b\n617l11tLSZFKSriVxIkqKyvjvQW0APUzG/UzF7UzG/WD0Sfdmzfn69RmmydKAgAAwGmMPuk+lc/H\nEyVNEAgE4r0FtAD1Mxv1Mxe1Mxv1gyOuDDyZ3+/X0KFDG3FlYG9JmxtcBwAAAFqqV69e2rRpU4s/\nj7En3aFQy3/zAAAAQCwYnekGAAAATEDTDQAAAESZI+Ils2bN0qxZsyRJO3fulCQtXbpUeXl5kqRz\nzz1XkydPjtf2AAAAgBZxxEl3cXGxpk+frv/7v//TvHnz5PF4tGXLFk2fPl3Tp0/XO++8I0n65ptv\ndNddd6lr165q3bq1evTooYcffpi7Lx1u3759mjp1qm655Rb17t1bbdq0UWpqqrKzs/XKK680+ymk\niJ/XX39dXq9XXq9XL7/8cry3g0aYP3++brnlFp133nlq3bq1unXrppEjR+rDDz+M99bQgFAopDff\nfFM33HCDunXrpjZt2qhXr14aN26cli1bFu/tQdLbb7+t+++/X9nZ2UpJSZHX69Udd9xx2l+zdOlS\n5ebmqmPHjmrTpo2uuuoqTZkyRUG7J/whqppSv40bN+rPf/6zhg4dqvT0dJ199tk677zzNGbMmEY/\nbdRxt5c0ZPPmzcrKylJFRYXGjBmjSy65RMuXL9fChQt18cUXa8mSJerYsWO8twkb//3f/61f/epX\n6tq1q2644QZ1795dO3fu1LvvvquqqiqNHTtWb731Vry3iUbaunWrrrjiCgWDQR08eFBTp07VXXfd\nFe9t4TQee+wxPfvss0pPT9eoUaPUuXNn7d69W6tXr9bw4cP1zDPPxHuLsHH33XfrlVdeUefOnTVm\nzBh17txZGzdu1Pvvv6+amhpNnz5dt99+e7y3mdAyMzNVUlKi5ORkdev2/9u7/5go6zgO4O/vIXCg\nIiCoROodQViaSs6ZJ4JKYsM5B4FSSMQay2o0rqbpapNjrmSaIelcVhMWmTKaQErZLU+YwpiyqAVo\npMScyQQ1FEQ54Nsf7agTOH7Y8XD2fm03tu/3ued5P3vGc5/77nvP1x/nz5+3+fS1oqIiPP/883B3\nd8f69evh7e2N4uJiXLhwAbGxscjPzx/lM/h/G871i4+PR35+PmbPno3Q0FB4e3vj/PnzKC4uRnd3\nN/bs2YPU1FTbB5QOIjIyUgoh5N69e63a33rrLSmEkBs3blQoGQ3m5MmT8tixY33am5qa5IwZM6QQ\nQn799dcKJKPh6unpkRERETIwMFBu2rRJCiHk559/rnQssuHAgQNSCCGTk5Ol2Wzu099fGynv999/\nl0II6efnJ5ubm636TCaTFELIgIAAhdKRhclkkr/99puUUspTp05JIYRMTEzsd9vW1lbp6+sr1Wq1\nrKqq6m2/e/eu1Ol0UgghDx8+PCq56W/DuX45OTmyurq6T3tpaal0cXGRrq6u8urVqzaPNyamlwzm\n4sWLMBqN0Gq1eOONN6z6DAYD3N3dkZeXhzt37iiUkGxZvnw5Vq9e3ad96tSp2LhxIwCgtLR0tGPR\nCGRnZ8NkMuHgwYNwd3dXOg4N4t69e3j33Xcxc+ZMHDhwAOPG9f0ZT39tpLzm5mYAwKJFi+Dj42PV\nt2zZMkyYMAEtLS1KRKN/WbZsGR577DEAGHSqZEFBAVpaWhAfH4+nn366t93V1RXbt28HAOzfv99+\nYamP4Vy/pKQkzJs3r097WFgYwsPD0dnZifLycpv7cIii22QyAQAiIyP79E2YMAFLlixBe3s757g5\nIMsHPj/4x766ujps2bIFaWlpCA0NVToODYHRaERLSwtiYmIghMDx48eRmZmJPXv28H45xs2ZMwfT\npk1DZWUlrl+/btVXVlaGtrY2PPvsswqlo5E4efIkAOC5557r0xcWFgY3NzdUVFTAbDaPdjR6QM7O\nzlZ/B+IQlc6FCxcAAI8//ni//UFBQTAajaivr8eKFStGMxo9AMucRKD/mxCNHV1dXUhMTIRGo8H7\n77+vdBwaorNnzwL4eyRt/vz5qKmpseoPCwtDQUFBn5FUUp5arUZhYSE2bNiAJ598EmvXrsXkyZNx\n8eJFfPPNN4iMjMQnn3yidEwaBlu1jJOTE7RaLerq6nDp0iUEBwePdjwaocbGRvzwww8YP348wsLC\nbG7rECPdra2tAIBJkyb1229p51NMHMuWLVtQU1OD1atXY+XKlUrHIRsyMjJQXV2NnJwcuLq6Kh2H\nhujatWsAgJ07d8LJyQmnT59GW1sbfv75Z0RGRqKsrAxxcXEKp6SBzJ07Fy+//DLu3r2Lzz77DJmZ\nmSgoKMD06dORlJTEL0sOprW1FUIIm7WMlJK1jAO5d+8eEhIS0NnZifT09AGvrYVDFN308MnOzsbu\n3bvxxBNP4IsvvlA6DtlQWVmJDz74AJs2bcKiRYuUjkPDYHkEmbOzM4qLi6HT6eDu7o45c+bg6NGj\nePTRR1FaWsqpJmNQV1cXIiIi8N577yElJQWXLl3CnTt3UFVVhYCAACQkJOCdd95ROibR/1Z3dzcS\nExNRXl6O+Ph4vP3224O+xyGKbss3B8uI9/0s7Z6enqOWiUZu7969SEtLw+zZs2EymXjdxrCuri68\n9NJLCA4OhsFg6HebwX58Qsqx/G+FhIRgxowZVn1ubm5YtWoVgH+modDYkZeXh4qKCsTExGDXrl3Q\naDRQq9UICQnB0aNH4e/vjw8//BANDQ1KR6Uhsoxks5ZxfN3d3diwYQMKCgqwfv165OXlDel9DlF0\nz5o1C8A/86HuV19fD2DgOd80dmRlZeHNN9/EU089BZPJhClTpigdiWxoa2tDfX09amtroVarexfE\nUalUyMjIAACkpKRApVJBr9crnJbuZ7l3DvQhbmnv6OgYtUw0NOfOnQPw99Of7ufm5oaFCxeip6cH\n1dXVox2NRsgyT7u/WqarqwsNDQ1wdnZGQEDAaEejYTCbzXjhhRdw5MgRJCQk4NChQ1CphlZOO8QP\nKS03HaPRCCklhBC9fbdv38aZM2cwfvx4PPPMM0pFpCHIzMzE1q1bERISAqPRyMWMHIBarcYrr7xi\n9T9nUVVVhR9//BFLly5FcHAwdDqdAgnJloiICAghUFtb2+feCQC//PILAECr1SoRj2xwcXEB8M+8\n/PtZHilo2Y7GvoiICBw6dAjfffcd4uPjrfrKysrQ0dGB8PDwQZ+AQcrp7OzEunXrUFxcjKSkJBw8\neHB4O3iAZ4qPqlWrVkkhhPz444+t2vV6vRRCyNdee02hZDQUGRkZUgghFy5cKG/evKl0HPoPbNu2\njYvjOIC1a9dKIYT86KOPrNpPnDghhRDS29tb3rp1S6F0NJDjx49LIYScNm2avHLlilVfSUmJFEJI\nd3d3eePGDYUS0v0sixYNtLjKrVu3pK+vr3R1dZXnzp3rbe/o6JCLFy+WQgh55MiR0YpL9xns+t29\ne1dGRUVJIYRMSUmRPT09wz6GwywDf+nSJeh0Oly7dg1r167tXQb+1KlTCA4ORnl5Oby8vJSOSf3I\nzc1FcnIynJyckJqaCg8Pjz7baLVaJCUlKZCORio9PR0ZGRlcBn6Mu3LlCnQ6HS5fvoyIiAjMnz8f\nDQ0NKCwshJOTEw4fPozo6GilY1I/YmJiUFhYiIkTJyI6OhpTp05FXV0djh07BiEEsrKyBl92muyq\nsLAQhYWFAICmpiZ8//33CAgI6F3LwNfXFzt37uzdvqioCLGxsVCr1YiPj4eXlxeKi4vx66+/Ii4u\nDkeOHFHkPP6vhnP9kpOTkZubCx8fH7z++uv97m/58uUIDw8f+IAP9r1gdF2+fFkmJydLPz8/6eLi\nIjUajdTr9fLPP/9UOhrZkJ6eLoUQUqVSSSFEv6/ly5crHZOGKT09XapUKo50O4Dm5maZmpoqZ86c\nKV1cXKSvr6+MiYmRZ8+eVToa2dDd3S33798vdTqd9PDwkOPGjZNTp06Va9askUajUel4JK0/3/79\nsny2abXaPu85c+aMjIqKkl5eXtLNzU3OnTtXZmVljWjklB7McK7fsmXL+vT/+6VSqaTBYLB5PIcZ\n6SYiIiIiclQO8fQSIiIiIiJHxqKbiIiIiMjOWHQTEREREdkZi24iIiIiIjtj0U1EREREZGcsuomI\niIiI7IxFNxERERGRnbHoJiIiIiKyMxbdREQOLicnByqVCrm5uUpHISKiAYxTOgAREf1DpRreWMjB\ngwchhOh9ERHR2MSim4hoDNm2bZtV8SylRFZWFlpbW5GWlgZPT0+r7UNCQqDRaLB48WJMmzZttOMS\nEdEQCSmlVDoEERENTKPR4PLly2hoaMCMGTOUjkNERCPAOd1ERA5uoDndGo0GWq0W7e3t0Ov1mD59\nOtzd3TF//nwUFhYCALq6urB9+3YEBQXBzc0NgYGB2Ldv34DHOnHiBKKiouDj4wO1Wo3AwEBs3rwZ\nra2tdj1HIiJHx+klREQPifvndAshYDabsXLlSty8eRPR0dG4d+8evvrqK8TGxuLbb7/Fvn37UFVV\nhaioKLi6uiI/Px+pqanw9fXFunXrrPZnMBhgMBgwefJkrFmzBlOmTMFPP/2EXbt2oaSkBBUVFZg4\nceJonjIRkcNg0U1E9JCSUuKPP/7AggULUFpaCmdnZwBAYmIiwsLCEBcXh+DgYNTU1MDDwwMAoNfr\nMWvWLOzYscOq6DaZTDAYDNDpdCgpKendHgByc3ORnJyMbdu2Yffu3aN7kkREDoLTS4iIHmJCCGRl\nZfUW3AAQGhoKjUaD27dvIzMz06qA1mq10Ol0qKmpwb9/8pOdnQ0A+PTTT622B4CkpCTMmzcPX375\npZ3PhojIcXGkm4joIebp6QmtVtun/ZFHHkFjYyMWLFjQp8/f3x9msxlNTU3w8/MDAFRUVMDZ2Rn5\n+fno7/f3nZ2daG5uxs2bN+Hl5fXfnwgRkYNj0U1E9BCbNGlSv+3jxv19++9vDralz2w297Zdv34d\n3d3dMBgMAx5LCIG2tjYW3URE/WDRTUREg7IU7y0tLQonISJyTJzTTUREg1q8eDFu3LiB2tpapaMQ\nETkkFt1ERDQovV4PAEhJScHVq1f79Le3t6OysnK0YxEROQxOLyEicgD2WDx4OPtcsWIFduzYga1b\ntyIoKAhRUVHQaDRoa2tDY2MjysrKsHTpUpSUlPznOYmIHgYsuomIxjghRJ+Fb4bSP5L32OrbvHkz\nlixZguzsbJw+fRpFRUXw9PSEv78/Xn31Vbz44otDOBsiov8nIe0xfEJERERERL04p5uIiIiIyM5Y\ndBMRERER2RmLbiIiIiIiO2PRTURERERkZyy6iYiIiIjsjEU3EREREZGdsegmIiIiIrIzFt1ERERE\nRHbGopuIiIiIyM5YdBMRERER2dlfCteosZoJwsMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10974ff50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x10979a0d0>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the posterior histogram"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.plot_distributions()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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GUlZWhu3bt3MVlYQcPnyYe7IQ7uh0XkAreAKpZS0qen1NHUfwlLqk11fOsRzu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/j9Cn8pAIePLT9Uz1Uw7TdY8wY528JJSEgiYcOPMNFLzXxYw/qR6POLKb1ZfS1bMTilroEiV1E5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\nOKTma9COAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1095ca050>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the posterior histogram with the normal approximation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.plot_distributions(show_normal=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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8c82E55iYGKZNm8YzzzzDrFmzaNeuHUeOHDmplIykpCT3EwlPKisr+euvk8vN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\nF92uMAPljqtQVoCigFJsRGk7AeW/6//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hnm+6uY8dO8vTdQLhs1dfiFb6EJ38k1My+W++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iZgoww19lmMns1MJYJQ3EZu49nQ8Zxc/Q0/Hu1B4eAzFRue/gNJJyPo2Gcv2b0rOvkn9j7PgoPb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\nhBBCiFZGOvlCCCGEEEK0Mv8fcyu1w902BPkAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x109763050>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the model parameter, $a$, and the initial value of the variable, $h$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model=MCMCModel(sim,{'a':[-10,10],'initial_h':[0,4]})\n",
"model.fit(iter=25000)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 1% ] 421 of 25000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
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"\r",
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]
},
{
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"\r",
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]
},
{
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"stream": "stdout",
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"\r",
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]
},
{
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"\r",
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]
},
{
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"\r",
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},
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"\r",
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},
{
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"\r",
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},
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"\r",
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},
{
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"\r",
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},
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},
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},
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"\r",
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},
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"\r",
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]
},
{
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"\r",
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]
},
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},
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},
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]
},
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},
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]
},
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"\r",
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]
},
{
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"\r",
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]
},
{
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},
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},
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},
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]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------89%-------------- ] 22399 of 25000 complete in 28.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------90%-------------- ] 22685 of 25000 complete in 28.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------92%--------------- ] 23050 of 25000 complete in 29.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------93%--------------- ] 23350 of 25000 complete in 29.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------94%--------------- ] 23674 of 25000 complete in 30.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------95%---------------- ] 23996 of 25000 complete in 30.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%---------------- ] 24287 of 25000 complete in 31.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 24681 of 25000 complete in 31.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 24985 of 25000 complete in 32.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 25000 of 25000 complete in 32.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Time taken: 32.32 s\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim.run(0,12)\n",
"model.plot_distributions(show_normal=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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KCwttv05SUpJqa2tt17Zu3SpJmjJlSrM/HwAAiSoYlGbPlqZOlez+r9XrlUaP5kaSaONB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\n",
"text": [
"<matplotlib.figure.Figure at 0x10a739a50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x10a4c90d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4zi2/KYQQNUGlL6EZGxvL2LFjGTNmDHv37q3s7kUtI+v1qkdir67Sxn9rzE6r\nthsZyabtoktoNvEoPsm3d8kGpwxzQ3pT06ZOSbVYHCHbxWBxbffed1vsO3loTdsar9wameDL+189\nEnt1Sfzrjkp/4u2dd95pWk3n0UcfZevWrZX9EkIIUSeEh0ezdMdK8LZsv5FunsnPNphn8n1LSPKf\nfrYL51M+xVRNn90ADPbgkEc+eWQbsnF1dAXgzA3LJTZTi9yYC5CmN9fwZyspZOVmma4VQghRPVR4\nJn/JkiV06tQJf39/WrVqhb+/P/7+/jRs2JCEhIRy97t+/XomTpxI79698fT0xM7Ojueee87mufHx\n8djZ2RX7M3z48HKPQ9xeUhuoHom9um4V//DwaF59cyNZXletjl1PN8/k6/LMSX5jt+KT/M7d2/LP\n0e1M+z5eZ3HReJr2iybyl7LiLK5N1Vsm+Rm56Rb7l9Msn6BbE8j7Xz0Se3VJ/OuOCs3kr1y5knnz\n5tGvXz9OnjxJp06dALh+/ToJCQls27at3H3PnTuX48eP4+HhwR133MHp06fRaDQlXtO5c2eeeuop\nq/b27duXexxCCKGGsLAI4pXeoFlgbMi3A7t8AJKziszk55nLdUpK8rNys7jznjsg3rj/8EO9iDi7\ni+xc4weGVH0qTTyakKpLJVNJtLj25pn8TEOaxf7l9Mu0adCmTL+fEEKI26tCSf4PP/zAkSNH8PX1\nZfLkybz//vumY8ePH+frr78mJCSkXH0vXLiQ5s2b07p1a/bs2UPfvn1veU3nzp2ZMWNGuV5PqEPW\n61WPxF5dt4q/Xu8AjU6ZGy73gOYHAEgucuOtPr/ITL57yUl+Ro65Jt/b1R0Px3pczTXuF5bgxCXH\nWV1780x+Vp5lkn8p7RI1jbz/1SOxV5fEv+6oULnO3Xffja+vLwAajYYrV8xPa+nYsSPJycnFXXpL\nQUFBpgdnydNyhRB1jVZrAO8i6+Nf6W7aTMsx/23NUUo/k5+mMyf5Xq7ueGity3Xikmwk+UVm8hVF\nQY9luc6lGliuI4QQtV2FZvK1Wi2XL1/GwcGBoKAgpkyZwsqVK03HL168WNHxlcnly5f55JNPSExM\npEGDBgQEBNChQ4cqHYMoG5lNUI/EXl03xz88PJqwsAj0ege0WgMPPNCUqCtfk1N4wt9dTedmGIwz\n+Xn5eRjQF7RqaOjasNjXy8rNIiXLnOR7aN3xcq5n2i+crY+1keSn6Mwz91m5WSjkWxw/d6PmJfny\n/lePxF6IBiNDAAAgAElEQVRdEv+6o0JJvpubGx06dMDHx4eTJ0/y2muvERwcTHBwMMeOHSM2NvbW\nnVSiHTt2sGPHDou2oKAgVq1aRfPmzat0LEIIUVrh4dGEhm4nLn4maPLA4EJc3FTsnzXPmAe02se+\ngu0sJRlFUcjKNZfqOOGKh9byYVgOeeChh3wN5CYnok9MxjXHuO/m6Ep9N3OSX1iu8+cV6yQ/IT3V\n6ryiziXUvHIdIYSo7SqU5IeGhpKbm4uPjw92dnasWbOGxx9/nK1bt+Li4sKWLVsqa5wlcnNzY8aM\nGTz11FP4+/sDcOzYMWbNmkVkZCQPPfQQR48exdVVlnirbqQ2UD0Se3UVjX9YWARxN16B15uDYzas\njDQm/I4F9zkpGnZ/txj3eV9hQEc+BrJysyyTfI0rHk4eNMqA4LPwRAz0jwP3gpp75hsfRPhZwW7m\n8mm063oHSY0g2s9cknP6mo0kP6PkJP9Sas2byZf3v3ok9uqS+NcdFS7XmTp1qmm/U6dOxMbGcuLE\nCZo1a4aPj0+FB1gajRo1YtasWRZtvXv3JiIigl69evHrr7+yfPnyct8ELIQQt5Ne7wAdvwb368aG\n7kth7ztgZ7wfqb7DHWgdtLjZeZOa/zcAybpkcvKMxTytkuD5k7k0Dx/G1YOlu9nK7VoSfbcm0RdI\ncoYLB1bC+JZcTYy16iAps+Qk/7qu5iX5QghR21X6E2+dnJzo0qVLlSX4JbG3t2fcuHEA/PzzzyqP\nRtgiswnqkdirq2j8tVoDNIwxH/Q9ZnHTbXN34zeU7g5eprYUXQq65Bv8JwJilsC0nSk4Hfzd6o96\nmhOkaiHbxZEsJ3syHSH3ppPq66DzjuMwaBD7Fl3kyVNAkfUOUorceJueY3nTLUBK3lUM+Qar9upM\n3v/qkdirS+Jfd1RoJv/IkSN06dLFou21117DYDDQs2dPRo4cWaHBVYaGDY03omVmZhZ7zpgxY2jZ\nsiUAXl5edO7c2fR/gsLHP8u+7Mu+7N+u/ZCQAUSG/5Pc8xg1/5MGd31AYsF+uwHGJN/hoh1kAS3B\nYe16Ls5cSPdkcCy4LArIAxxbwOZ2sNYNLtUDWsEg/+H8tu8gF7NP49ACjt27mF+XfY7bwaM8m2W+\nnlTYuBZ+bAsvdoBr7pDmmmoa774LhXcGAAXjU1rlcS3jGmcPn60W8ZR92Zd92a8u+4Xb8fHxVDWN\nUoH1KR9//HF+/PFHq/acnBx+++031q9fz4IFCyo0QDAGp1+/fowcOZIvv/yyTNdOnjyZ+fPnM2HC\nBJYsWWJ1XKPRyBKdKoqKijL9H0JULYm9um6Ov/PMeujtzKUwnd17cDTjIADv9pnDjKBp9FoaTPKJ\nLSzeAv3iLfs73MqTrrM/otkf47nialxFx1tbn2R9EgADmg3hZMJJLulPAnD8leOcSjjF0HVDue8K\nTLrcjid/voRbunlCJMsB5gbC131ac2GGcSGFL499yeiNo61+n1/H/UqPZj0qHJeqIu9/9Ujs1SXx\nV1dV5p12t6NTJycnHnzwQVJSUm59ciU4fPiwzYDt2rWLBQsWoNFoqsW3CkIIYUtiVqJFgg/wZ+YR\n0/adDfwhP59XIy5ydJllgv+3O4wYBK/+KwBGjiTV2dl0LC9Ba9rOyMki22BO4N2d3KmnrQcaONQM\nZvV0p/P93Vl2H6YFMl0N8N5u2Lk4HvbvB2zX5ANclrXyhRCiWilTuc6ePXuIiooyfQo5c+YMs2fP\ntjrPYDBw/Phx0tOtazdLa+PGjWzcuBGAq1evArBv3z7GjBkDGG+2/e9//wvApEmTiI2NJSAggGbN\nmgHGJ+5GRkai0WiYM2cOPXv2LPdYxO0jswnqkdirq2j8zySesTpuUHJN261dmsHw4Qzb9IepLd/e\njrMjHqF703DSnWGA1p3w8Gh0qfngbTwn7a9AaL8WgMycTHT55nXy3Z3c8SzyMKzLiX+T5dCL8Y9H\nsbIzfLzWly4Zxr+9bRPyoG9fWL2adB/bf9dr2lNv5f2vHom9uiT+dUeZkvz27dtjMBhYt24dK1as\nIDc312pVGwAXFxcCAgL47LPPrDsppWPHjvHll1+i0WgA49cb58+f59w5481oLVu2NCX5o0aN4ocf\nfuC3335j69at5Obm4uvry9ChQ3n11Vd58MEHyz0OIYS43Wwl+YXqZ0GXUW/B/oOmtugW8OfMl3Ht\n2oP0TeEAuGtdCQuLIK9lK/A2luiQ1Np0TbYhC71imeTXK/IwLIO9HryNy2f+2hy6N1/AhBYjmBuZ\nj2cOoNfDM89wz8v9wPigc1wcXMg2ZAPwV7LM5AshRHVSpnKdBg0a8NBDD7Fs2TJWrVpFcHAw+fn5\nVj+ZmZns2LHDtGZ9ecycOZP8/Hzy8vIsfgpfozDZB3j++ef58ccfOX/+POnp6eh0OuLj41mzZo0k\n+NVc0RtTRNWS2KuraPxPXIuxeY5/Euz/XINTkQQ/rAf0HQMnGmrJzDGX33i6uBmX4rxW8JTvfHu4\nGGA6np6bano6rgY7nB2cjeU6BfIddVDfvEZ+XkpbFnfypvMrENOgoFFReHLZLj7YDpp8aNewnen8\nuOs1K8mX9796JPbqkvjXHeWuyR88eDCBgYGVORYhhKiTjl60nsnvcQn2L4e2iQX3G2k0HJj0LKGP\nQL4dXE9PsXgYloezq3Epzl3vw55psPZ7SLjbdDzNcMO07YQbGo3GolxH0eaC91nzAJJaY5ebx/n6\nEPACZPfoajr0r/2wZgN09GxrattxcC8DB04jPDy6QrEQQghROcqd5Ds6OvLmm29atZ89e5axY8cy\nZswY9u7dW6HBidpPagPVI7FXV3E1+a72HgTHQORK8CnM4Z2dYd06rowbCsYKRhIykskskuR7urgS\nEjKA1o0XQ+QciHkCcs1P+c7MTzZtO9u5A8aSHU3Bfwby7HLAwbjWvZ3OhYFBH+Dj2QiAJFc4+c0i\nePppUx9DT8DkmXvwyi7o386RiIi5hIZurxGJvrz/1SOxV5fEv+6o9NV12rRpw4oVK1ixYgXz5s2r\n7O6FEKJWyVfyuawzz6D/K/d+1n9nXNkGIMPDGXbvhsGD8XI2PwwrOTuF1CxzuY6H1o3g4EAWLRrI\nwIHT6dNnFg8FfmjzNV3sjUm+RqPBWeNpdbxNgw5s2zYHX+9mprYUjR7WrWNNb3PbXWevEb4anHMB\nj8uAQlzcPBYv3lGeUNxSeHg0AwdOIyholnxrIIQQt1DhJH/JkiV06tQJf39/WrVqhb+/P/7+/jRs\n2JCEhITKGKOoxaQ2UD0Se3UVxv9S2iUM6ADocd2bqR/+gnOe8Zw4bxjyUDfCk4wr7Xg7e5uuT9Un\nk6Yzz+S7Ohpn7YODA9m2bQ5RUbPYutn2RIurg7t5285Gkt/QeMOuV5Ebc1P1qWBvz4zHGvOvAeZz\nAy7BmvVgb58FDYwfVnQ6+1LFoCzCw6MJDd1ORGwQezQQsX9Chb41kPe/eiT26pL41x0VeuLtypUr\nmTdvHv369ePkyZN06tQJgOvXr5OQkMC2bdsqZZBCCFFbFZbqNE+BTasz0WbkAMb17/8xCuLDpxAb\nuh2AewKam65Lz00hLds8k+/m5GbVt6O9I/Y4kkeuRbubo3uR7Xok5lle16GZMcmv71okydcZn3qb\nacjgwwDItYOwgj/xT8XAki0wvuUuSGyLs/NNHVaCsLAI4q6GwOt+4KCHBjHEbVjD4sXTCQ6W+8OE\nEOJmFZrJ/+GHHzhy5AirV6/m4YcfZuXKlaxcuZItW7awfPlyvv7668oap6ilpDZQPRJ7dRXGPyYh\nBu8s2PY1+KYaE/w0J3hkBMR7A8n+phIYbxfzTH5GXjIZeuuZ/Js5Yt1e9AOBp1M9q+NtGxmT/Abu\nN83kA5l5xodhLe4Jfz71pOn4K4dgin4prVtPYeLE/iX+7uWh1ztA4z+MCT6A7zGg/N8ayPtfPRJ7\ndUn8644KJfl33303vr7GBZM1Gg1XrlwxHevYsSPJycnFXSqEEAKIiN7Jj2vgnoLqxlyNHU89+ADH\nmgAJbSHZmHDrdPbG1XAU4523etKJ/zve1M/8ud/bLF1xtrOe4ffUmmfy62mty3Vaextfs5GHOclP\nyTYm+dn55ife+n2ziphe5gcNzvvzT9Y9ln9bZta1WgO4/12kwTiO2/GtgRBC1AYVSvK1Wi2XL1/m\n2rVrBAUFMWXKFIvjFy9erNDgRO0ntYHqkdirKyoqii2bdzNucQQPFvlT+bxDDyJ/2Q5rNsIXeyHf\nWFXp7JyHncYOF4058Y69Fm/aPnrwZZs16lp765l8Txdzku/taj2T37p+a6tjCRmpGPIN5FL47YEG\nN2cP2uyMJNLf0XRe5yUfwNattw4AZbuRNiRkAPX9Vhb5xdIq9K2BvP/VI7FXl8S/7qhQTb6bmxsd\nOnTAx8eHkydP8tprrxEcHExwcDDHjh0jNja2ssYphBC1jm7iZAZdMJfchLq9zdeZj+Li8ibZMctM\n7cZk9mEA3By8yDakAGBwzjd3lutK3KV5VjXqzvau3FSSj1eRJL++m2WS74gLTdybAFiso5+QnkpG\njvmJuc54YKexA60zSyYF4z1nI52vgSYvD555Bvbuhc6di/3dw8OjefXNH4j3bGV8aNeVbsTFTQWw\n+U1AcHAgD5xrQHjBw3xxSmfBwgFSjy+EEMWoUJIfGhpKbm4uPj4+2NnZsWbNGh5//HG2bt2Ki4sL\nW7ZsqaxxilpKagPVI7FXV1BCAlwwP8l2foCGsIOzAGf8/Vdzxx3T0enscXbOY+LEh03JrKejNwmG\neONFbkVWMMs2Ppb25hp1FwfrmXwvN3OSX7QkB8BX649GYywJKvpE3KSsVNL05lIdF3vzB4B/9BjI\noyM2su9zaJkKZGbCkCFw6BDUs/6mAIw30sbfewXaLwS9B4TFFtx7UPyNtIq7PRQm+RoI6n+fzfNK\nQ97/6pHYq0viX3dUKMnXarVMnTrVtN+pUydiY2M5ceIEzZo1w8fHp8IDFEKIWufsWXj+edPuxnYw\n+Z6usM8ZgDvu8GHbtjk2L62n9YLsmxqT/CGxDWBdo27rhlxPZ3Odfn03y5r8wnp8gHpFltBMzrZM\n8l3tPUzbD/n3Y4InPDISDn4GHjlAXBy88AKsWwcFHxqK0usdoPk+4442HVrtgj+Hl3gj7eXUvy32\n0/RpeGg9ijlbCCHqtkp/GJaTkxNdunTBx8eH5cuXV3b3opaR2kD1SOyrVmH9+YDeUznXtRdR6ekA\nnPOCMU+BcrE3wC3rzL1dvKwbTwwFNDavdbOR5HtY3HhrOdN+b9PWNo+l6dMsknx3R/OHgzP7/8Yu\nw4PTjWDcE0U627CBpXc/bLPm3kmbC+5Xzef6GY+VdCPt9SzrJL+85P2vHom9uiT+dUelJ/mFzp8/\nz4cf2n7aohBC1CWmBzlFzOXZfZfwz7gOgN5Bw5BnIdUF7vG4zMCB01m06OES68wbuntbtd2nTSr2\nWjetdZLv7lQkyXe2TPLvbmx7Jj89J5V0fbppv2i9/uLFO8iPewqA79rDEt8HTMfGxUSSvbcvERFz\nLW4MHjP+frA3mF/Y7+dbfsBJzr1qsZ+ek17MmUIIIUpdruPn52dztRyNRoOiKDav8fKyMeMkRBFS\nG6geiX3VCQuLIC5uHqM7BTHu2B4AgoBX+ms40tT493PnF4to4tHkln35eFr+XW3q1JbffvrYVEd/\nMw+t9RKaRZP8M39Y/l1PjM2CHsbtojP5mXmW5TpeLuYkX693gIRA6PQVAP96sDE9N/jSjas4kct3\nbn3p4r7Foua+/QMt4VjRX+wEc/73frEfcLJys9BhOXNfkZl8ef+rR2KvLol/3VHqJL9BgwY8/fTT\ndC6yWkJaWhrffPMNw4YNszjXYDCwYsUKRo0aVXkjFUIIlYWHRxMWFoFe74BWayAkpHSru+j1DrS3\nO8TSE3tMbV/X78EnPYw33jZ2bF2qBB8g5e9Ui/0HvXoWm+ADeLgUP5MfHh7N5x+dgIHmY8v/e477\n6kUTHBxoMZOfnX9zkm+uhddqDRBjvgk2545jPMOzHLH/FK88HX5pCqtcXuJJ4k0191fSzc9VKeTa\nLt+qrdDf6X9btVUkyRdCiNquTDP5//vf/7C3N98UNX36dHbu3Im7u7vV+SNGjOCLL76onFGKWisq\nKkpmFVQisS+bwpKbOI874c7t8PNk4kK/A8xLPhb3IcDLPpNPlKG4FlSnnGwIL/Y7DgW5eW+/XqUe\nw7aNF00z7QAHlmsJbxFd7IcNT2cbT7x1NM7uh4VFcOX8G8Bq44F8Oy7+sYjFi+cQHByIm6MbdtiT\nTx65ZJOYnWjqw7vIDbshIQOIfX0t5wxO4JAD3ue56nWB0e07smmv8YPM49cu8gYfcLyg5t5W0r4z\nNpon73rSqh3g74zKTfLl/a8eib26JP51R6mT/B9++MGqTa/X20zwAZo0aUJOTk75RyaEENVIWFgE\ncddehRHNwS4P3P8mbuUeU/lJeHg0IaHbOJf/D8iuD1c7m9Z9X2x/kuZKHACZjjDkWdBl6kx9D7jr\nwVKPIeHv0dAjwthw/R4uHv60xGUnPUuYydfrHSC9ifEpuhoFEttCnpNptl2j0eCs8SRLMT69/GLa\nJVMfDd3NSX7haz+780uyvIzJ+DOhzfk6ewcf5MEb+43nvcc7/DpgKQBXbCT5Eaej4THbv7utDwVF\n7xEQQghhqUI33mZn37yOm6WMjIwSjwshswnqkdiXjV7vAF7xxgQfoMlhQDElxGFhEZzzaAujH4KX\nu0KTw8TFzePX6UtpvsP8zJCXH4NTPkArc99557WlH0Ncf8iqb2z42fiU8ZKWnXRzKj7J12oNkNkY\nds+FK/fBduNiCUVXuHG1N5fsxCeZ6/eL1uSDMdEf9IA5Q3fvnofimsnkf8AvzY1tDig8+MkCyMoi\nPsE6aT+TfoiHHnnT5pNvr2ZctWpLlZr8Gkliry6Jf91RoSQ/KSmJ6GjbjyE/fvw4f/31V0W6F0KI\nakOrNYBLcpGGDHC7YUqI9XoHuGuj8ZhGgbY/UZ9EQk+Emy5Zey+s7nRTx1kN+O87p20mtjbHkNUI\nFp2DDy/AHyOAkpedtLVOfmGSHxIygNatpxo/LHz6O8Q+YrXCjbuDOcm/kGJO8m2tT/+gf1fT9pdH\nvwTAYA8jBkG6U8GBM2dg6lT+SrJO8rFT2H22v8UqPIUuplqfn5wpNflCCFGcCiX5U6ZM4YknnmDQ\noEH873//Y8WKFXz00UeMGjWKoKAg3nrrrcoap6ilZL1e9UjsyyYkZAA+LT61aGvW4Q1TQqzVGsDn\nD/PBRidYygQa5Bi/0dQ19GZCcJGLzxf874UHORf3HosX7yjVGFq3ngr6epBmnB6/1bKThfX3RRUm\n+cHBgSxaNJCBA6fTp88sm8twehZZYedKxqUi7ZYz+QBdm5iT/EyD+Zvcv7zh9SI397JwIU0Pnzbv\nX2tv3m7xc8EqPJbxOH/DOslPyJB18msiib26JP51R4WeeHvvvfeyZcsWRo8ezcaNG03tLVq0YP36\n9fTo0aOEq4UQouYIDg5k8PUf+PiCuW3o+OamhPil/+tNxJF55mMp+xiKOSn+ZcYYkpIWWHcc+zBQ\ncslN0TEALF48HZ3OHmfnPCZOLHldfVsz+W5O5sQ/ODiwxOvzMs1r2Sforpm2bSX5HRt3RKPYo2is\nv1n4vCuEZffBdadxhaF318SwYTxkaDE+zKvxn8YT79oEkbOt4nEpxTrJT8mSmnwhhChOhZJ8gICA\nAGJiYti/fz8XL17kjjvuICAgADu72/acLVGLSG2geiT2ZdesdSMokuS73eFo2m5+nzccMW43SYOl\ne80JPi+8wKn7/WFrwf5vr0BSG4g1wOFxQMklN0XdKim/2c1Jvj2OONk7FXO2pfDwaM6fToM7rY/Z\nSvKdHZzxc7mXeN1x6ws0cPr9N+h66DgkJ+OXYuCDCHjlceDIWOj9HjhmQ+M/wPeoVTyu2lhdJzlb\navJrIom9uiT+dUelZOJ2dnY8+OCDDBs2jF69ekmCL4SolRIyUiz2j1+KNW3/eb1gJlqBz36E+oWL\n5/j5wYcfkqIzr2/v5Xwc9k+CX96CfMdbltxUxM1JvlZje0U0W8LCIshK6mPzmIeTdU0+QPfmXW22\nA1z2UOCjj0z7Lx+C4BgnWvsshVODzH0HvmQVj0S99Y23aTqpyRdCiOKUaib/2rVr6HS6W55X0tNv\nC483atQIFxeX0o9Q1GqyXq96JPZldz0t2WL/zI040/bhS8Yk/4XDEHy2yEkrVoCnp8VNok8+3J6T\nF57D1bV1qUpuKuLmJN/ZrvRJvl7vAJd7Q4+PrI7ZmskH6NW6K+vOrrR57HrmdRj2PGlrVuL5o3EZ\n0OU/5XH80weY8kM8hwrOy73rLLn5uQwcOA293gFHbQ7pD9wwPVegUEZO+ct15P2vHom9uiT+dUep\nkvz33nuPtLTKmTEZPHgwjz1WzELIQghRjSVkWs7kX8w0z+QfjP+D5imwYLv5+IFBPenZty8AN9LN\nM/k9OnVizH/uqZL/0N6c5LvYlz7J12oNcPIZOPcp+O+2OPZr9AlaP9Xa6hr9+Zu+yc32Ahdj3K5l\nXgeNhqPTX6Ld7ggaZ4Jveh6+P33LQ2u+xOe9aJLyLqGzS+WZ/8zA0Lw++JyAPTOMKxbdJMMgM/lC\nCFGcUiX5ixYtut3jEHWUzCaoR2JfdklZlkl+hpJAmj4NT60nMcl/8E04eBQ8A/B0A5g/oBmFjxFM\nzjInpPW09QjqHlQlY745yXd1sF5tpzghIQOIi5tO3KaXYcJe0JofcDj9rV+o5+hl9Q3EtlV/wf0a\nc1J+9lHo+A0Al5OvA3BBm80Hj8PmbwsuWr0a++HD6ePdhx8SjE/fNfxjn7nTx14xbdZz8CHVYOwn\nqwJJvrz/1SOxV5fEv+6Q4nkhhCilVF2KVVtcUhwJWQk8cvyaqUwnHxj7FBxJOWM6LznLPJNfXKnL\n7VB0JR3jfuln8guX2GzgsAG2FynZyXHl3Nn5Npf9zMt2NSb2ANfvgfMPmY5dLEjyr6T/zY93wZcd\ni1w4YQLpW5xtD8RBb9ps5dHOtJ2tyEy+EEIUR5J8oSpZr1c9EvuyS8u1TvJjk2I5HfMLYVvNbUu7\nw4HmcEkXgyHfuARl0aez1nOuV2Xxv3km36MMST4YE/327e+Gwy/A7y9Bvj3sewOwveynVmuAdWth\n9U+wIhrSm5qOXU27AcCFggdhTRoIWfUKPoRcuMDLx/6ECw+aO9Nbj7VNg9ZoCv7TZUBHbl5umX6f\nQvL+V4/EXl0S/7qj0pP88+fP89prrzF37lySkpIqu3shhFBNpsFWkh9H/env45Nl3E/0duW/A5oA\nkEcOcUnGm3PTctSZybdK8p3LluRDQeKOBn76BGbnQtS7gO1lP0NCBtC6xXtwNhiyG0Cmj+nYjSzj\nTP75BGOSn+gGh94aaTo+6PKvdF//GhzvDzv6wpIYyLEc/2+RZ3DMN7elV+DmWyGEqM0qtE5+9+7d\nadiwIb1796Z3797cf//9tGrVioULF5KQkMDkyZP55JNPKmusohaS2kD1SOzLRlEUspRk6/bt0dwT\n/qtpP/rtoTRxu8yFRGMie/LGSdo1bEdmrmVNfuegzrd/0ICjnSN22JOPMSH3dC59TX4hY23+VOLi\n5lG4xI1x2c+Hrc69+YFdeCazp+BYco4xyb+UesV0vn7oYIiOh+3bsQO+1E2gw/eXMbAf+BjNkcYo\n9583nR//51DsvP6EghU80/Rp1HepX+bfSd7/6pHYq0viX3dUKMkPDQ1l3Lhx/P7770ybNg0nJyd6\n9OhBQEAAfn5+nDlz5tadFGP9+vXs2bOHo0ePcuzYMTIyMhgxYgRfffVVsdfs27ePuXPncuDAAXQ6\nHW3atOH5559n4sSJsna/EKJCMnMzTYlyIedcGPHxLtP+unvgVPN7aJCYYWp787+LcBrcgKx8dWby\nNRoNjriixzjj7eVa9pn8sj5pt+gDu/QGPc7zwgBIz79BvpLP9Szzg62aeDSFjz+G9u0hK4u7cm7w\naZuBrGoaiLMzXEp9kBN5F8G+4Mm76U3Iz2oBHsYlS9P0UpcvhBC2VCjz3b17NzExMdy4cYMTJ06w\nYMECmjRpwooVK5g8eTJjxowpd99z587lo48+4vjx49xxxx2A8T9Wxdm0aROBgYHs3buXwYMHM3Hi\nRHJycnj99dcZNmxYucchbi+pDVSPxL5sUmzcdDszCvySjCvOJDvDxEdgyfRD7P3BPOMfl9aUkNBt\n6PLNyain1rNK46+1M5e3lCfJB2Pivm3bHKKiZrFt25xSr+uvddDijPFDTT4GUnQpJOcWTfKbQKtW\nMHu2qW3shX1EfTaCbdvm0NCxNRx+0Xgg3x4u9YQc84O40vXlK9eR9796JPbqkvjXHRVK8hs1aoSf\nnx8Ad999N+PHj2ft2rXEx8czePBgevXqVe6+Fy5cyNmzZ0lNTeXjjz8u8dy0tDRefPFFHB0diYqK\n4rPPPmP+/PkcPXqUBx54gPXr17N27dpyj0UIIYom+Y0dW9PlioY3iqzy+GZ/uObgzY1z/qTFvms+\n0OgE5y5OQdHkA+CIC472jlU1bMAyya/nUr4kvyLqOZrr8s8ln0OP8ZsOB7R4O3sbD4SGwn33Gbf1\nenj5ZVAU4/0A2xbChtXw6W+Q1hz05m9CZCZfCCFsq1CS/9dff3HlyhWrdhcXF5YtW0ZYWFi5+w4K\nCqJ1a+ODVkp6ii4YS3sSEhIYNmwYXbuaH6mu1WqZO3cuwC0/KAh1SG2geiT2ZVM0yXfWa/lkkx0O\nBX+aovzg867A768AjpBwl/nC+rGgNZfquNjVA6o4/ubl7Vn1WSTh4dFV99pAA2dzkv9VxDrTtibT\nmS1bfjbuODjAZ5+BfcGKPZGRsGKF8Ubelu/CH/+Eq10AcLH7y9RHeZN8ef+rR2KvLol/3VGhJP+l\nl+eknyoAACAASURBVF6ia9eurF27lrw8y1pVR0dH7O2tl1e7HXbvNj6J8eGHrW8CCwwMxMXFhf37\n95ObW76l1oQQIjnbXILz7O7rdL9m/Juns4eXHgcOvQy75wAGyPaG3II1352ywPOy6Vo3+6qrxwcI\nD48m5YZ5nfnTx4cRGrq9ShP9xu7mJH/VdvOTc3OT7rYcS5cuMGmS+cI33yS4x90sWjSQgQOn06fP\nLAYOnE63juYn7cpMvhBC2FahJL9fv37MmzeP5557jsaNGzN8+HDCwsLYuHEjCxYsqNCNt2URExMD\nQNu2ba2O2dvb06pVKwwGA+fOnauS8YjSk9pA9Ujsy6ZwJr9JGkz/1bw88LxAOHv6LfjpY1Ds8fW9\ngq/vvyzWh/e5Z45p293RmORXVfzDwiLIzSrytzHHnbi4eTYfZHW7NPMyJ/mpHkUOZDSxHsusWcYa\nfYCkJHjrLav7Adq3aWM6vbxLaMr7Xz0Se3VJ/OuOCq2uA/DCCy/QrVs3pk6dyrp160y17x07dmTd\nunW3uLpypKamotFoqFevns3j9erVQ1EUUlKsb5wTQojSKEzyP9wOHrnG+vrTWl/+E/8anM8A3qVB\ng9MsXz4BgGER6yhcYydosBffXTVue2pt/526XfR6B4sPHKQ3A2w/yOp2aVHfnOTT7Hfz9uXu1mNx\ndYUlSyA42Li/ciWMHQuB5ht9G7ibvw1J1clMvhBC2FLhJB+gU6dO/PTTT6SkpBAbG4unp6fNWXUh\nbia1geqR2JdNsi6F/rEw7IS5bYJ+NTnn+wHGdeMXLZpgWnUm4GpPIi6tB8DgnQUFSb6XizFBrar4\na7UG2PsOeFyBax3h4gOA7QdZ3S6+Hj62D5x+yvZYHn0UBg+GDRuM++PHw5Ej4OQEgJezOclPzJCa\n/JpGYq8uiX/dUSlJfiEvLy+6detWmV2WSuFMfWpqqs3jhe1eXl5VOSwhRC2SknCDpeHm/Ut9++Pk\nFEkfXbTNdeNbNmgCl4zbMQkxpnZv16qdyQ8JGUBc6LfErYo0tRX3IKvbxcfNRpKf2AYS7ip+LAsX\nwvbtkJEBJ0/Chx/CO+8Als8ZKG+SL4QQtd0tk/y8vDy++uqrCq15X0hRFBYvXkxISEiF+yqqXbt2\nHDp0iJiYGLp06WJxzGAwcP78eRwdHfH397d5/ZgxY2jZsiVg/CDQuXNn0yfdwto12b89+wsXLpR4\nq7RftC6zOoynuu8HrP6ZS8nGvP0BD1fuWPMV75w6Vez5fg2aQMGDWs/anzVunAe9fZrFubd7/G5u\nsGjRQBYvns7Vqxdxcspj5swXCQ4OrLL4+fj5mH5/AFpBs/RGNO0+iqef7mb6cGRx/R13EDVqFCxd\nShDA7NlEtWwJvr54NPQw9ReXEQfDKfP45P2v3n5hW3UZT13bL2yrLuOp7fuF2/Hx8VQ5pRQ2bNig\nhIaGKtnZ2aU53aakpCRl8ODBSkRERJmvjYyMVDQajfLcc8/ZPP7FF18oGo1GGT16tNWxXbt2KRqN\nRgkKCrJ5bSlDIG6TyMhItYdQZ0nsy+D0aUXvYKcooCigHJrx4i0vWXFkhcIsrH6m7pyuKErdiv+f\n1/60isPev/be+sLcXEXp1MkUd+WxxxQlP18JPxNu6qfnkofLNaa6FP/qRmKvLom/uqoy77QrzQeB\nQYMG8fTTT9OnTx/CwsJITk6+9UUFrly5wttvv02fPn14++236d+/fzk/jhRvyJAhNGzYkG+//ZZD\nhw6Z2nU6HdOmTQNg/Pjxlf66ouIKP/GKqiexLyVFgQkTcDIYb7Y90AySnhtyy8uauDex2V7VNfnV\nwc3lOvY6NxKP5xRzdhEODrBsGRQ+7fynn2DTJotyHVknv+aR2KtL4l93lLomv0+fPuzYsYP333+f\nO++8k1atWhEQEECHDh3w8vLCy8uL/Px8kpKSSExM5OTJk0RHR3P16lVeffVVDhw4gKur661fqMDG\njRvZuHEjAFevGu9Y27dvn6lsqFGjRvz3v/8FwMPDg88++4whQ4YQFBTEsGHD8Pb2ZvPmzZw5c4Zn\nnnmGZ599ttSvLYQQJmvWQMGzOPI0MP4x+My1/i0va+JhO8mvV8Wr61QH+yP/hHwN2BmfHpZ3chiT\n1u3EXmNvcR+DTT17wosvwqefGvcnTsRrz/+zd+ZhUVXvA//MMMCwKaCAICqL+75k7oiaoNFipmWl\nVrZo5dr+zbUsq58tAplpWrlUZrY3iWiIGGru+z6AC8oiKPsMDDO/Py7MMAKKBgww5/M893HOe869\n99zXl3vfe+573mPK3JZbKGLyBQKBoCJua+Lt2rVr+e6778jJyeHEiRO4u7uza9cukpKSjGksXV1d\n8ff3Z+DAgSxZsoRBgwZhb29/2x07fPgwa9asQVY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25rxn8WL45x8AiuUyJjwkZdMZ3Faa\ncGtvr4MrveDnb41hO0ZyfEzHqQXqq/7rGmFhQURFLSQ2dgFRUQvNXtB+/fIMXG8lFZTZ0PIfUjUD\n+bUDvF5mjaw5G8/hWxKlczlHTL6taYTtWxahf+uhwY3ku7q6MnPmzHJyZ2dnC/RGIBBUN1qtAnp/\nDvbSaD3dV8PmT/BNT4N5pjCcpfd4s9dXcth6N5ec/OnTQ1CrZ6M+9h5c3QbjosD1AmidIaUHABqN\nTe1ekKDGKNTawtl7ofcySdAqDhwyAYjsA2/lu+N6JRPngiJW/wL3TITLOWJBLIFA0DBokE7+vHnz\nLN0NQRUR+XotR33Vvb29DvxNWXFwS0BJAXNP/wxFRQDo776b1/scMjbp5S05+WXDO/bsyeLaF4eg\nw89wuTcUuAOgVBbXynXUV/3XJ+ztdXCxn8nJ99kn5dAHNG1h/4gZDHvqbdDrGZoEM3dDYg8xkl/T\nCNu3LEL/1kODCtcRCAQNnwkv3AWex00CtwQ+bxxEq7yrUtnRkVOfvoXWphCApopWNHFsYmxeGt6x\ndu2LBDb/CA4+A6ldAWnS5rRpw2vtWgQ1y/TpIbSw+cck8NmPouluY9F5SCj873/G8vt/A4dP1mIP\nBQKBoOZocE6+RqNh3bp1LFq0iPDwcGJjY9Hr9bfeUWARRGyg5aivule01piVH0w/wdNZ+0yCTz5h\n+ZmdxqI+WYlKFVfuOGFhQYSHhxIaOpfBgxcQGjrXmJWlNqiv+q9PhIUF8dk745AVleTRd7mCvokU\nrkMitHJtBfPnk9OlLQD2xfDasn8gL89CPbYOhO1bFqF/66FBhevIZDJSUlKYOHGimdzf35+vv/6a\noCCRMUMgqO+oTphCdfyuwdd/lgmvue8+VM3b8/W3K6BkMdvMYxOZEV1x1pywsCCRSaeB88B9Q+hy\nri9HsqRFr/QyKaRLjgJPJ0+Qybm6Ygk2g+7FUQetUwu4dP9onlHchbbQtnyKVoFAIKgnNKiR/Kef\nfpqYmBhSU1PJz8/n6NGjTJ48maSkJEaOHMmRI0cs3UXBDYjYQMtRX3W/5Zzk5NvpYMOP4FY6sN+y\nJXzzDRGRW8hxtjXtcLlXrWbNqSr1Vf/1kQEBvcrJPNr6IZdJj8CmPQbyUpipzndbNC0zNrM9pQfR\n0e8yY8bmCr8GCe4MYfuWRejfemhQTv68efMIDg7Gw8MDpVJJp06dWLZsGS+//DIFBQUsWLDA0l0U\nCAT/gQtZF0gtUgPw8WboXTJHslhhAxs2QJMmaArl4HXYtNMVycETWXOslwF+d5WT+bq0Mv52sXfh\n+x4ufNXdVB95eD/dB4wD27w6+ZIoEAgEt6JBhetUxpQpU/j444/ZsWNHhfVPPfUUfn5+gJSdp3v3\n7sY33dLYNVGumfKSJUuEvi1ULhuXWRf6c6uyShXH1CVvQnN4JA+m7oXSKyiYEsrIPn2IjY3latF+\nsC0Z3j/qCfnHgGCUyuI6dT31Tf/1uXxX5xInP1H6B39olGpn1r6JnQ8vdDqNIQmeuQ7KYnh1g4bJ\nzsvJu/YyGo1Nnbme+l4uldWV/lhbuVRWV/rT0Mulv5OSkqhtZIbaWlvXgmRlZeHm5oZSqSQ/P9+s\nrjaXFxaUJzY21vgHIahd6pPujavcdrlEW9817FsBLlLyHDZ2gA1vPcmG8d8AMHP1m4QnfShVnnwI\nfviZwMC3anVSbVWoT/qv7+gNehzfcUVLjlE2sdGTrJ71jbEcuLAnCfqDtLkK+1ZAoxL7+qVxT0Zn\n7SM0dB5RUQtruecNE2H7lkXo37LUpt8pr5WzWJjdu6WUaQEBARbuieBGxI3GctQn3UdERKNWv4eD\n71Z+3GBy8M+6wzMPwumrica2uS65xt9+dtdrPWtOValP+q/vyGVyOrj2NJMNGRJs/K1SxZFyVjKq\ns00lmyrloawDvNdkuEitWo0I27csQv/WQ4Nx8k+dOkVeBWnPkpKSmDp1KgDjx4+v7W4JBIJqQKtV\ngPIqX8RdpmuaJNNgx9ixkK2Ei7kJxrY7E/cbfy+b9zpRUQvrnIMvqH185V5m5Ssnrxt/R0REk58y\n0lje2AnC+5javnktlrDGDeZxKRAIrIQGc9dav349zZo147777uPFF1/kjTfeYMyYMXTo0AG1Wk1Y\nWBivvvqqpbspuIGyMWuC2qU+6d7eXscb9nOZWCZB1jRZOIe9ZABc0yWj0WnQ6XWcyzVNuu3p3fPG\nQ9UZ6pP+6zsqVRx7ftOayZbM3WbMmKPVKowLogGgHs5rw2F3c6ko1xfD6NGQmIjgvyNs37II/VsP\nDWbi7dChQzlz5gwHDx4kPj6evLw83NzcCAoKYsKECWIUXyCoxyy6S0mv6C+M5VV+/myTn6cRXmST\nAjID56+fp7C4kCIKAHCz8ZXyoAusnoiIaNIO/R8M+k0SGGSkJU4lMnILYWFB2Nvr4Pij0PgC2BRC\n/OsUvenGI2OL2L8CPPKB9HS47z7YuRMaN7bo9QgEAkFVaDBOflBQkFjsqh4iYgMtR73R/f799Pp0\nkbEY2woWB/sQPmYk89R7OHAtBYCEawmk5qUa23X3LJ8bvS5Rb/TfANBqFZDZGpLvgub74Fwo6Iej\n0cQDMH16CGr126h3vGfcR3HdlYtN0hk1Dnass0VeWAQnTsAjj4BKBYoG8/isdYTtWxahf+tB3KUE\nAkGNo1LFERERjVaruL0VRJOT4YEHoEAanT/rDg8/CpHjXySsSxDfrQ/gwDVpcayEawkcTj5t3HVw\nm7rt5AtqD3t7HRjksOZvaP4vXBgIgFIprZZcaouRkXPRaGxQKovJbN6FvZoYdraE7XMnMmTuKulg\n0dEwfTosXQoymUWuRyAQCKpCg4nJF9RPRGyg5agt3Zemv4zePZntO1+v+gqieXlw//1w+TIA15Vy\n7nscMh2hXZN2AHTyMWXMOpmqJr7MpNvevnXbyRe2X3tMnx5CYOBs0DaChOGgc8DH5wmzjDlhYUFE\nRS0kNnYBUVELub/vUGPdhi7OMG+e6YDLlkFERG1eQoNC2L5lEfq3HsRIvkAgqFEiIqJRO3aEl1tC\nXlOIPFOygujcykfz9XoYPx4OHgTAoFAw9hEDZ5pK1W2btAUg0N3k5H/9+0/keyaDnVTOPF4IbWrs\nsgT1iIpG6gcPvvumX5O6eHUy/t534TgsiIYzZ2D9ekn48svQujWEhdVo3wUCgeBOEU6+wKKI2EDL\nUVu612oV0G2NVHC6Cm1VcGQ8Go1NxTsYDDBzJvz6q1GU/tHbbL0+GwBXuQ8u9i4AXD5hSoOY73kF\n7KTwC7Kbs+DVvbjZutfZ9JnC9muXsLCg27KFTh4mJ//M9WNSaM7XX0NSEuzeLb2IjhsHsbHQq2pf\nje44bK2BIWzfsgj9Ww/CyRcIBDWKvb0OXJNMAlcpDWFpPHQ5Zs+GyEhT+ZVX2DuyG3wvFf0btTNW\n/bH6DNxdUrArMu1zudetvxYIBDchwC0ABUp0aMjWp5BZkIm7g7v08tmnD5w/D7m5EBLC9nc+ZtHv\n527qvBtXbU58GxyvQm4z1GrpxVXYqEAgqAlETL7AoojYQMtRW7qfNm04uJoWq8ItkcDAtypeQXTR\nInj/fVP5kUfgww85ddU0obarj8nJL85zhqwW5Y9z5j6Ayr8W1AGE7VuWW+nfRm5DU4PJtkZMs2cD\nmAAAIABJREFUmCnNI/HykrLruLlJFZmZdJwxlURNEttb7SA6oTFjxy6lS5eZhIbOMc49iYiIRp00\nH6Z0h1e9of/ikhfRLTV1iXUWYfuWRejfehAj+QKBoEa5e0gH2K8zll1axhD+3Jryo5dLlkij+KXc\nfz+sWwc2Nhy6ZHLyu/manHylfTH8+jX0mwLFXSAzEC71hVOjpPrKvhYIBLdApYojW20PraXy3vP9\nmDFjM1Ay8h4dDcOGQXY2HsV5/H3oW4J6QNL4GAoOPMOxzW9z7Fhj42i9VquAlv+A53HpgEHvwd6X\n6vSLqEAgqN+IkXyBRRGxgZajtnR//vp5s7KdZwXhCV9+CbNmmcr33AMbNoCtLQBHL5uc/PZNTU7+\n9OkhBMpj4LtV8EMH2LIYTj4MBpvKvxbUEYTtW5Zb6T8iIpr8xDKLKAb8bT7yftdd8NdfFMglG22R\nDX+vhuZZQM9VMKUHuJ8z7mNvrwOPE6bjKbOg40arfBEVtm9ZhP6tB+HkCwSCGuV8lrmTn1l8kaLi\nMvHz334LkyebygMGSHHPSqVRlJhjcvLblXHyw8KCCA8PJTR0C506XaVJk3F07jyT0NC5hIePELHO\ngjtGq1XA2XtNgva/gPtZ85H3AQNY0GMsGrn0KA24DlvXgGcu4JYIT3cHzxfYs+cs/fr54BLwtdk5\n7PrNrtMvogKBoH4jnHyBRRGxgZajtnSfdMNIvgE9F7MvSoW1a+HJJ6WMOiBlKVGpUMXuJzR0DsHB\nCxh272tk66VVbRXY06pxK7PjleY3P3ZsOVevrufo0SVERS2s8w6+sH3Lciv929vrIK0LnB0hCeR6\n6P9RuZH3oLcnM3ZkIwpLnqbtM2DrahnNcgCXPHj6B67ZvcW6dck4tcox27ew2SUC+3hW0xXVH4Tt\nWxahf+tBOPkCgaBGOZt2vpws8VoifPwxTJwIxSVOU+fOsHkzqn8OS4tnXbiL7V7HiLE5Y9xPkd2I\nqE3xtdV1gRVjXEAr/g2TsPtKkq6mmE2oHTFyAJt65fPYGCguWQC3S7qB+FUyWmcADtdg2P9Qq98j\nXXa53HmGvTbJ7HgCgUBQXcgMhtIhNOtEJpNh5SoQCGqUIctHEZvym0lggMOJoXRds9koSnD25NUu\nE8hzUZKensnBpFdgWjuQ3xCvfGI0gfvbEx4eWudH6gX1H5UqjojIaLa3XoHWI10S7ngT/n6fwMDZ\nhIeH0r5fc1pHSrNzJx1rxJc/5yHXS3ab5gj3PgH7m7pAuBper2DUPq8pfJJMoN/bwq4FAiugNv1O\nMZIvEAhqlLIx+Ypi+PpXzBz8PcoW9PR9n1+aXyL6RBgnT+ZKmUdudPABMtpZbdpBQe0TFhbE5qh3\naZ9RxvHu/TnY5hvt8ES6aTLt4UF3If/9NzRyKXGdZz7EfgPDL+ZApx+N7ZRZnqbUr05Xoc1fwq4F\nAkG1I5x8gUURsYGWo7Z0n6qRnHyHQvhlPTx12FS306Mtg12/J+vRZ6HzDzBxOBq/AtMKuQBXekj/\n6uzhxBigbue/ryrC9i3L7ei/8ZVOkBkgFZTZUipMJDs8lnbc2K5ni44QFsb+D8O5JncAwLkIVN/B\nRLf/Gds55XrBkTKZe9r/YjyeNSBs37II/VsPIk++QCCoVlSqOCIiotFqFdg45JHf9xre2fDTBuh3\nqUzDZ55hzllvNK3fAFnJp0u7PBi30dQmsRWsPgCNL0CxLeR6AyL/vaB2UdoXSwus9Y2QBAFbQR2C\nUlnM3iTTSH4P344ADHj1RbY7O9Pm1cn45Gmw1cPq6Gy89LB4ALjq3Mk4ORoGlSz81u4PkBcJuxYI\nBNWKGMkXWBSRr9dy1ITuVao4Xvrfj0TbZrA9pzkxB54kKAkOLDd38D8KckI1agJ7C7dCy8on0tr8\n44Od3fOQ1dLo4Nf1/PdVRdi+Zbkd/U+fHkKzgismQcAWox0eSTGN5Hfy7GT8PXjKRFK3beCYh2m3\n/9sKG36Eif0GEuDwsylkx+Ea3v0mNgi7rgrC9i2L0L/1ICbeiom3AkG1ERo6h2i349DhVzDAK98O\n5QN1DIqSP7FiGcwKhci+4PfDLJJCvwPXVKkysRX4XTCN6icGw+pt9OjxLJ6e3mg0NiiVxUybNlxM\nThTUOj/+volH9oeBXLLPb7v9xrgH70P5jjNFFACQ/lo6TR2bGvcpLC6k+WwXfv6+kEEXTMfSBvqx\ne9Z8xh/+nEvN9wIwvPEoomf+UnsXJBAILIKYeCuwGkRsoOWoCd3nF+mhzSZcNPDjBvjonMnBz2qk\nZOxTzYjsK5WT2qebHPw8R/ihP2z+WCoXKWHrBwA0auRLVNRCYmMX1Iv891VF2L5luV39j31gJJ1d\n+xvLNq0LOH/9vNHBd5F7mjn4AHY2djTz6s09E2Fpb5PcXp3E4NdfYnNH08j93tw96A3627+Qeoiw\nfcsi9G89CCdfIBBUG7meZ+mUoWXvlzDmpEm+yxdWfvkC57t3NAm7rTP9jvkENAGwexYsPQ5LT0Jy\nH0DE3wvqDg92ucf4+/fjWzmebgrVad2oY0W7MKxtfwoVMDUMHh8N+bYlyfTz8+k4axFf/GmHnQ6u\nF1+m35hnyuXLV6nijAvDiXz6AoHgdhATbwUWRcQGWo7b1X3ZCbX29jqmTw8BMMocbbVMKvyX5zeC\nfRm/PPJueCUEVrTtStvibA5cu+HA6e3h4DPAThwcplCQ/oWxSop7HnFnF1jHEbZvWe5E/yPa3sN7\n8W8DEH1uC7bZpmw4acdzUKniyn1pCg7sT/g+6ff3XSHJ1o/o+GKcL0nxO5P3FdL/AjzzAOzJ9mTG\nDCm9bFhYECpVHC/MW8fFu/aDxg3W/4Ja/YGxvr4ibN+yCP1bD8LJFwgEt0SlimP6jCgSCkZDznnI\nOUhM/Pvo+6Wib1dAj6NtWbI1ie5cNO6TZwvP3w/fdZXKrRq3QpFTwSTbmPdAryAwMIrx47uye/fc\nMvH3I+q1MyNoWPRp3geF3gGdvICruvOs2fcz+Eh1yYcmMSPG5KCXknvK/Bi70sYzwDafTQP34/NP\nLABd0mDXKljSbQXz1BeJjPyQsLAglkRu4uLd/0KzIyUdiES94z0iI+eKvwuBQHBLhJMvsCixsbFi\nVMFClOq+ohH6Gx2IJZGbSLjrFHQoCSxO74DO8Tz2dvnM3w6vxZ8yu5ns8YGnR8GJMgt8/rp6B9H/\npMMgk0x22Z2ONtvxDT1odQ69sH3Lcif6j47aheJSc3QtzwFg8Ek3VaZ3RJ30YjkHfO2yfdA+ENzV\nJe06cCTxMSa1mcPI1g48e247TuRjY4BXDl3nIXkHPrsyBAB10/0mBx+g7Z+w4y1jPv2q/O3WRYTt\nWxahf+tBOPkCgRVjHKHPHg/XL0LRDuLiVtKhw3oWLhwHQHjEZmLdfoAOiaYdPU4yTA2f/QXtM0zi\nAgXMHQJRPe/iVPFpIEeqMMhY8dERNO6vw6DfjO0N0RvxbRdDVNTCWrhageC/ERERjSZrKrScaV6R\n5wHJ0gvwjQtaabUKOPo4DF4IWmdIHCq10yr4K6AnS84tZYVnX4anpQEQoL/EJ0fWomq5j5zRp83P\n47sbnNJQKotRqeKYMWMz6pxx0mq6h8ahnvE9UL9DeQQCQfUhnHyBRRGjCbdHVUfuqtIuODiYkNC3\nSOh9HNp3Aq0dHHkGzd7XOHiwC88++wwGGpHas8jMwe9xyYYPYooJSTA/5/ZW8OwDcK4J2P1qi97r\nWej3qVSZ440mrzMUdpccIqd0OPUgJA1B02p7teupPiBs37Lcif61WgUcnARd14HnIUgeAAn3wKGn\noMgJKD9R3N5eB1vnw4WBkNEW8ryM7aZNC2GGeiUhyk95st8TfLoZ3DTSfmEXT5KwDD7qD5/0g1x7\nQGbAo/8kpk17nYiIaNSJC2CmPzRKhp4rUYeriYxcVOedfGH7lkXo33oQTr5AUE8wjtwlvi2tAHvN\nH7V6DmA+cmds19QLeq6Es12IG/8prX1/xsfH2czhP+21EwJLnGz7Qui9DO76An74iZRT3tB6INw9\nEoCATHh3oxuPXTafOZuNLa+PgBV3F2GQA8UKCk8OhrSHTU5+aldAB0WO8MVB8P0XzkrHFdlzBPUF\ne3sdFLrAl3uB7UA0MMdYX9FE8enTQ1CrF6BWv1euXenf4Sef/8HqrnKiWuuJ3ARjSxbRdSmEt2Ph\npV02vDukmOV3QYuhuYSFBbF4cYy08m6j5JLGV6Drt2g0NrcdxlNfw34EAsHNEU6+wKKI2MCqYxy5\ne+5u8D4I8a+i3rK4XAxwREQ06qvPw3h/aWEpr6NoerlyLHYBx6Kno1bPYe/eY3y/7RcuDKlgFF1m\ngAGL4VQIdP+altfh1Z0wZa8MW4PJwS9GzleM5G0gOWMkyKdKFQn3gNYGLt8Ff34OreIgbg6QIWXP\nyfkCTo4GGnb2nFshbN+y3In+JYd9donDPhiQ4eDwKIGB3jRv7lLhvJLScmRkxRPKw8KCCAsLYuCy\n48SnbeKRRyDsNHywFTqXhPx7aouJiIJZu+G94H8pLMiVXjg6/2Dewb5LyNrVh0lLPibNL0XKWrX9\nedTq2WZ9KYtKFcf0mZtIaH8NvM/A5k9Qz/ix0vbVgbB9yyL0bz0IJ18gqCdotQpo+Y/k4AP0DYdd\nr1QcA9zjK9PKsQAO12HkTNA2Qn0olA8jV6G5Zz+UpOwmsRXsWAlPjAQbHfjuon8Td2Ye28Ton8DG\nAGA6XrxnO5a3HEZaE3c80zJI3vcC2BZAs4NSthwuSA79vi9g3wuA5NCL7DmC+kzFDvtLt7ThUkf+\nZky8+yHi/9wEgKodbGoD4/e48E5UY1pxCQD/67DyVw3p7p681m8IB1ttJb3sQTyPk9zZhvSAo9Lf\nv88+OBOGWl15Rp6IiGgSlF3hrsclwfhQ1F/uJTLyS/G3KRDUc2SG2lpbt45Sm8sLCxoOlvi8HRo6\nh+hiPQx63yT8+11CHTVmE1dDQt9iS6e10FhyDMhrCk5Xpd9pneDzByE0H/otKal3hS9GIMt1QvFw\nOmP1vzNzN/S+XL4Pe5QtKFr4JgNefdEoM4YH3RCOMH68L7t3XynjDA0XToNAUAnrfv2VCYceMr14\nA/y0DvujD/O6y2Cma/fTtNA8tE1jA991gfC+cKRZJQfe/BHseoXBgxcQG7ugXHVw8AK2Nz0NXdab\nhFe8aLRxGH17+f+neT8CgaA8tel3ipF8Qb3GEg8ao1N7YTboFVBsh1o9m717j7Fr1+Ua68v06SFs\n+2scRWVk8rv/jxeDfzFr13+iK1vOlTr4jtLqsTP9wC4PPI9D+87Q60/TDr9/Rd+cZkx1f44Rf5yj\nibb8uf9p5k6UTwj93p5C2H2DzepuFY4gEAhuzdpl+6D5QGj1jyRQ+8PRMzg3eYo/W/ZiybX/Md3/\nIV7aC965UhNlMUw6JG3xLSSHf2NHSHMuc+Cu38KuVyqd+2Kr1EKbTeZC71Syh2mJ3rDQGN5X9t7W\nr58Pq1QHuNQ2BdI7QvSHFc4PEggElqXBjeRfunSJefPmERUVRWZmJt7e3owaNYr58+fj6uparr0Y\nybcs/yU2UKWKY/qsv0iw7wZpnSGtC4GBswkPD63RB01o6Byij46GJ+4FuxxYvQ2SNTg4fEeB9xhw\nSoMTYwj0e9usL/91MtykF/sx7uD95mE4QKejj9I8p7VxBdqJfz1HpucZAJyPdKB4UxAFQ2XQu2Ql\n2UIF2OnwOwDPXfRg3EFnAkjkRjQ2sLYbhPeBV+7ZwNOjx1aH+gQliLhYy1LX9B8cvIDtFwbB+BGQ\n3QLWbIFrgQwevACA7f/8D2YEYOt4mbEnYMZuuLuCr23FMvi7lYzvO9vwSycdWQ7Q4rfnmPRA9woH\nId7/Ppy3zpSkBC1SgK3OdLA/lsP+9tK9Tf8hFO0HfQx4xsNTR8AxU2r3w0Y4+TChoXPLpcOt6L7n\n5KSvU7q3Nuqa7VsbYiT/DlGr1fTv35/09HRGjRpF+/bt+ffffwkPDycqKor4+Hjc3d0t3U1BNRER\nEU1C+0zo9biUf3r5gZvGnlYX+UUGGP0EOKdKgqGzYW0fCpo/COOHS7IB81D/GsyECavo3Tuafv18\nWLcuGfWFt0DnAAZ5paP/AHPnruHESQVar8eh0UU4+TCHC5+A4PI3huMOCRz/qTXbtn2EwcMO3bNq\nY51bYhCTXu/KliOHOKyF4CQIUesIVcOVDAgmHcyjernaWMmnvTSs6AVXnYCkIN57/RCe9l5ilE4g\nqCHs7XWQOAwW5Uov8jolIGWfMhgMUGwPP/xM0fhgvuuq4bsu0PcSzIhzYczZXBQlc2ZsDBCSZCAk\nSccXmyDWD876xbFplYHotMVQ2BiQGSfjXnYxrVJtezyQosJ74O6lkiBkGiTeQ8FdHaCvO2js4cjz\n0HE/OOaYOt95PZx8uNz8IOM6HDb9QXcGEjOIi1uJr28WS5bIa+1+IkKLBNZKgxrJDw0NZcuWLURG\nRvLSSy8Z5a+88gqffvopkydPZtmyZWb7iJH8uklVbsr9h7/Grn7hYFMSwLLnRfhrqTH2tLpu7GWP\nk519iWM+2ynqfc68UeRL8NA+KTVkKcUKiHkX4t/AweFRCnp3hiHz4WJ/WBsNRftQOq5D02qE9CUi\noy3Nmj2DwcaJ1JYnodcFaCqNyKO+B64Fwl3LAWiW1pkUj+OmUf08DyjSgmu28fQO6v70XPshk9rM\nY1JzA4U7tmNXXLGtFzk5Y/vYOHjsMQZErmVn929MlX8sh/3PVzhKJxAIqofK5raEh0vZp4x1Xi/A\nhF9Mgwyx8/CIzeZh2vIY3xJEfKXnuOIMW3yc2ZLdkZ0pd5Plnoph6m4y5ZKj3+PEoxz8+WuY3B48\nLkg73Ti6XxFFDrA4jdAhH5rdI0JD5xCtM0DQIklwuSds/QAShlfrV9eb3euNej0/F3T2gKxWvvgK\nBJVRm35ng3Hy1Wo1bdq0wd/fH7VabVaXm5tLs2bNkMlkpKam4ujoaKwTTn7dQ6WKY9rLf5Jo1xMu\n9oOsVhXelNs+dQ9n/f827VjoCJ9eJDToU6ZNGy7d2Bv7g38MnGqLMuEEXp625Obq8Pb2LpczvrK+\nTJ8RRULxcPD8FZSHYMiOciEzsktNMPhmVHyQrUMgtxBGlXn47p4O0Y4wfi8E/A16G4geCiftYVyy\nKYNOWYoVUuYboNvBJznsmAnt/gBAUQxtM+DuZGnrcwm6pshRoK/02vLltvyuH82pHgYW7FoD9vYA\nDA6eT1ybzdILS4ErRKihwL3SiXsCgaB6UKniiIzcUuFk9dK6PXvOck32LoTOkkb3f/0GCg9IITUF\nX+DLRR5hAxNt36dbUSX3pBIybJTs8dewpznsbWbDgBYLWPVLAWrNZXhmDcgrv3+gs4F8L2gkxQx5\n7niAFwaGmn2ZPKc9Q0LwxnL3SxJ6wdauuBUU07t3i/80sm72ciQvAr2t2fMiNHQO0dlNYPgbkNIN\nVsdAoYsYtBBYDOHk3wErV67k+eefr3C0Hkyj/Fu3bmXo0KFGuXDya4aqjqLHxsaSlyc3a5t6NZ3D\nPY5Ai92Sk7liH1wLNLspGwwGPN72I0N2wex47vuHsGbyAiIiook+fzc89qCpMrkdHG4J+oekh+Ml\nBcrcP2kd6GN0+EEKA0pOTicl5TqaYi15wxyhy/flLzLTFdyvl5efbA/ObtBil0lWLAebGx6Yam8I\nvGIu09lIHrtxP5NjD9C4APwzbAj5ezCOKR3o6PUVHXM1tMk0YHeT53EpR5rYsrldEZu9mxD3y1cU\n6R8o57yHhs4hetcL0oQ99XBI6VEiFw/F6kTExVqW+qr/qmazSkvL4Kr7NYY7rSdEDfckQJOCWx8/\n38GJw0VOHPX04USXQ5z0gDNN4NKBgeiuvCUtsNf4IsQ8Cs3/gKHSWht+mq7oNw3kQkAOaHPgmAs8\n+DM0ySt/kkTAHzj2KKg+J9Dn4zuav6RSxfHkk0vJsH8VRj0lLQj212dw9HF69HgWD49mxOVvRXNP\nmS+sO96Ev9+v8ItvdvYlwI5GjTwbdFhPfbX9hoKIyb8DTp8+DUDbtm0rrG/Tpg1btmzh7NmzZk6+\noDy3c4Mt6xCXjo4b48/V74FcB3pFucVYSvc9fPhvsrO7UVCwDNgBRENoLLQoCVNxuA5jB8KqZ9iz\n5xwqVRwAb3+9kowuF8r1KavdXpZEbiI5NQvunWpe2fy0tLHFKNJkN+fY8bEc2/YmR47MABqTknYf\nuP4I7k/BsEngnVJeSZrGsPowTOwPTZJNcgOw1QeyVPBEe/A/L8lLHXyDzDSqVcbBtykGj3zwyi2m\nWS545cjxOhSAb/IQ/Hy/pZUmH7/r0FgLUAzESFtS+a6V5ZxtE+yDetNiwjge++oA64/OAMMvEDMK\n9NJXgBuzbkgL/nyOOr78Cp2C6uPQoUPiQWtB6qv+q5rNKjh4AQePvshXz/3KVz01yI+1pceO9oQ2\nSmeQfjd3Jxtw15Q/vmNBHv3Io9/lNCgzsbeYeC4zlvPnunOeNpwngwKNjlNekOoEqQ5HSR2YCk1T\npTSgd5c5qMYe1m6X1u/o+SWkGCQnv/MP4LMZ9fpxjBv3AW3arEdbVMRZh3MUtfKUFs07/qjZ/KXS\n542zs4K0NBcK2mnhvkGgKEkL9tBEKPqKg4daQde2MOo9zOj3CRx4juzsS/Ts+Swn1Aa0XVtD87/A\nOQ+uPQ6J9nAhhbi4lXTosJ6FC8cBlHsuViQLCwuq9NlYEy8NdxKWWl9tX3D7NBgnPysrC4DGjRtX\nWF8qv369gpFXK+bGm5GTi5yURpkUtvQDfS4ccCFuzEp8fJbSuHETCguLzW+w2keg8UZwe44MQwbH\n9hWzZet3GLzehvGhUqiM+i7Uf3dmwoRV+PmtISsrh+R0F7ReY8DpGxidB01tIdUDEsdDvzPmnfRJ\ngZBsrm16kdGjP8Bg8KUozJRM2v5kawpbXsbglE+xcy5b8zLBe4s02gTSA0aB6SFQlkbJUr74gG9J\n+bkntPOHJ8PAQQN8Yd72ZBtsrg/HTqfA7ugY7LKU2Mf7oxyQjFIHDkWgPDcYh4yRuNo9iGJdV1z6\ngrPjeZwLwSXPDpeTTXHzTcetsAg3DbgVgFuenMZFeuRmJ9MD56TtfNX+Ly/iy0FackCRTbJvGzID\nApn08v3GG/74pv7snbEK9a7Sh971Cp13kRKzdhD3IstSn/VflcW17O110lyfTy+AQoM+O5H9LGV/\n6k5wS4CRDxLoe0wK8btoQ5/93emiP4UzFYy8AzYYaEEeLYhnYGncfzLwY2kLA5CK1gauKeGaQ5l/\nrzYi69rTZCc/SO7fd7O1USKd7dPItYM82+tohq2i4EIrCvJbYeiykeae19EooMh/A4U+H3Bpa3fe\nfecKxbaPgNtP4DGOjBb/ByM04H3IvKPyYhgTCxkdwOur8heiKISQARyLHkZR2zSYfAicyiYfKAmV\nvNoOzf7nOXiyOaNHf4De0R1dpy7Q5Cwku7Jt3LsY5M3QdeoOHicgxZm48Z/i1Xi59GwsHAPyaOBT\nMjLtOXYsnh07luLpudwYMmprmwvYGZ+rtyvLysoh+YorWvdJ0leMyzp27FhKYODPN32pqM+2L7g9\nGky4zvPPP8/KlStZuXIlkyZNKlc/e/Zs3n//fd5//33eeOMNo1wmk2G4777a7GqdITU1g4MXT1Ek\nB9ACzqDMQGZzQz5ljTMU6wE7oFBqJ8sBW6RVTm+k2Kb8MQDyGyHT66Q4T6UWZAa+zYAnmpiv/2IM\n39QpkCl0JplOgaxIATY2yGzzkJXIZZebIXOwR+Z6XiqXykv+lWe6IdO0Qu50DrlMiRwDclkucrsi\nbAx6bAzSQHvZfxX6GzadAltDMXIs++dSoIAkfWvU+nZkt7jG4+88xz+ZWj75S02mzvGWi06Vjfm9\ndCmG8PB3hfNuIRYsWMCCBQss3Q2rpaHrv6KwnmbNJgGupKR8AsyBZmOgw09SVp+kYGToeSJoJmvf\nCuPExj9IitqJb3YGPtprNCnMRVZN7sKCku120cmgyAZ08vJbscGWYlkxeoWeYpkUIVksA70M9MV2\nGHLs0TfJkcoy6ZXEUObfUhk3yA2AoVgBNsUYSh5OBhmgl0n/msnkUGiLwdYANoXmnS9SYNA5gkEH\nOCM9SwsxlH2ulsioqkxmAGURyHXS+QEKnSDfA7Kb4yRPpVMnD7y8mpjr//RpFkRGQmjoHfwvCP4r\nIlznDigdqS8d0b+RUnlFufL588/yMivACzAfw82vpGXuDfWVtSul4kVXILucZANw77XKjnNjRgdd\nBTKAFOmeV/F/PXBN2nLAdC23yy2yS/xH9EAGTUnFixSaked8hS7DOhEwoDfvrtvNb0fe5HxjA+ma\nNqBzAyC041wef+opBgIDX67aecqOAD71VJJw8C1IUlKSpbtg1TR0/Vf8Re4po+zSpXQSEr6gYJvp\ni2VA4BzGvT4GQoPoGBpKx7IHLCyEixfh/Hnj9vuKPym+2gQvry145RnwygXnsqv1VULSHV6TwgCK\nSm/FNztxiVNcwboCVaOik1bkpOmRBswqO0bpM7DsM7Si52pVZRWRV7IlScW958q1SAK4UD7cVdAA\nMTQQVq5caZDJZIbJkydXWB8SEmKQyWSGmJgYM3lgYKCBkpd1sYlNbGITm9jEJjaxia2mtsDAwNpw\niw0Gg8HQYMJ1EhISaN26Nf7+/pw7dw6ZzBQAkpOTg7e3NzKZjLS0NBwcHCzYU4FAIBAIBAKBoGaR\n37pJ/SAgIICQkBASExNZunSpWd38+fPJz89nwoQJwsEXCAQCgUAgEDR4GsxIPkij+f379yctLY0H\nH3yQ9u3b8++//xIbG0u7du3YuXMnbm5ulu6mQCAQCAQCgUBQozQoJx/g0qVLzJs3j6ioKDIyMvDx\n8eGhhx5i/vz5labXFAgEAoFAIBAIGhL1Mlzn0qVLTJo0CR8fH5RKJf7+/syaNYvr16/Xt3i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AcAAAB8hpAPAAAA+AwhHwAAAPCZvwBwdMSCie0I9wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10a72c490>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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9e/ZkwoQJBAYGEhISolqvBx54gMzMTD799FPzg76iKGg0GmbPnu1QB7W2PPLI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tS9/Tb06gWni96++UE36N85gLORP4CpYIjL3eMo7U22VZkcU2UjcSqbyhgnvd4IKQGQ0Esr0OVD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\nknwhhBBCCCFsjCT5QgghhBBC2Jj/B+2dqr0LV4xlAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1097526d0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the simulations for many samplings of the simulation parameters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim.noplots=True # turn off the simulation plots\n",
"for i in range(500):\n",
" model.draw()\n",
" sim.run(0,12)\n",
" plot(sim.t,sim.h,'g-',alpha=.1)\n",
"sim.noplots=False # gotta love a double-negative\n",
"plot(t,h,'bo') # plot the data"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"[<matplotlib.lines.Line2D at 0x10977a9d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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t1gfreF7a3MbE1LI1FnILlLNl8nqeptd89wa63iadcQcXd6cZNjBISDAUgzBJ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4wlJFp6i4bdQJGVIkIOmSRNmAQTMqlYjrNUi2a5yUJ1gRP1EzTtwuebZRm5VFQxj+NxIXTLHdp2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G27GxDIuKoGJsIw/HdLAMC8so9hh7ljeln1EIIYQQYiKVRFH8dvfbbD6wmZ3dOxnIDDCSHcGz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\naIhbb71VCmIhhBBCCFG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"text": [
"<matplotlib.figure.Figure at 0x10977aa90>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Logistic Model with the Same Data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim=Simulation()\n",
"sim.add(\"h'=a*h*(1-h/K)\",1,plot=True)\n",
"sim.add_data(t=t,h=h,plot=True)\n",
"sim.params(a=1,K=10)\n",
"sim.run(0,12)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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v3VuaP9++9QAAkKwiMXcyoAOGW7zYH28J4IZEAADYh4tEkRTI4lXv2DHpppus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\nAMA8Xq+0eHHOj1Xd0yQR22Z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wwf/Y5ZJWrZLatDn593k8nooPA8xC78xG/8xG/8xF78wW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\nhgr83h4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10beebd90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x10972d450>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the model parameters, $a$ and $K$, and the initial value of the variable, $h$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model=MCMCModel(sim,{'a':[0.001,5],'K':[0.1,40],'initial_h':[0,4]})\n",
"model.fit(iter=25000)\n",
"print sim.a,sim.K"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 0% ] 67 of 25000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 0% ] 136 of 25000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 0% ] 189 of 25000 complete in 1.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 0% ] 236 of 25000 complete in 2.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 1% ] 296 of 25000 complete in 2.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 1% ] 360 of 25000 complete in 3.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 1% ] 421 of 25000 complete in 3.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 1% ] 467 of 25000 complete in 4.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 2% ] 522 of 25000 complete in 4.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 2% ] 579 of 25000 complete in 5.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [ 2% ] 637 of 25000 complete in 5.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 2% ] 693 of 25000 complete in 6.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 2% ] 741 of 25000 complete in 6.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 3% ] 791 of 25000 complete in 7.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 3% ] 853 of 25000 complete in 7.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 3% ] 899 of 25000 complete in 8.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 3% ] 948 of 25000 complete in 8.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 3% ] 998 of 25000 complete in 9.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 4% ] 1061 of 25000 complete in 9.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 4% ] 1110 of 25000 complete in 10.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 4% ] 1179 of 25000 complete in 10.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 4% ] 1249 of 25000 complete in 11.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 5% ] 1321 of 25000 complete in 11.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 5% ] 1385 of 25000 complete in 12.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 5% ] 1448 of 25000 complete in 12.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 6% ] 1512 of 25000 complete in 13.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 6% ] 1578 of 25000 complete in 13.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 6% ] 1628 of 25000 complete in 14.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 6% ] 1685 of 25000 complete in 14.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 6% ] 1741 of 25000 complete in 15.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 7% ] 1802 of 25000 complete in 15.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 7% ] 1865 of 25000 complete in 16.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-- 7% ] 1927 of 25000 complete in 16.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 7% ] 1990 of 25000 complete in 17.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 8% ] 2049 of 25000 complete in 17.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 8% ] 2107 of 25000 complete in 18.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 8% ] 2169 of 25000 complete in 18.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 8% ] 2233 of 25000 complete in 19.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 9% ] 2295 of 25000 complete in 19.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 9% ] 2362 of 25000 complete in 20.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 9% ] 2428 of 25000 complete in 20.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 9% ] 2493 of 25000 complete in 21.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 10% ] 2556 of 25000 complete in 21.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--- 10% ] 2621 of 25000 complete in 22.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 10% ] 2684 of 25000 complete in 22.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 10% ] 2736 of 25000 complete in 23.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 11% ] 2793 of 25000 complete in 23.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 11% ] 2850 of 25000 complete in 24.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 11% ] 2909 of 25000 complete in 24.7 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 11% ] 2973 of 25000 complete in 25.2 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
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{
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"text": [
"\n",
"Time taken: 3 m, 19.49 s\n",
"0.300930890184 6.66506873289\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the Results"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim.run(0,12)\n",
"model.plot_distributions(show_normal=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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MRv3MFaieM6wr3c2aNdPPf/5z2wNw1q9fr40bNyo9PV1XXHGFhg4dGoYZAgCi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\nIjIzFt1ERERERGbGopuIiIiIyMz+D5hG7/YSnH0SAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10bef6dd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x10befeed0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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GcDrVnNi7pzeBi3eYjytRsiOEEOLmVasTe3HzklpD1+ZM8Ss5Y69ReaDVaLmz\nyUCLY5rUsZ6xr691PLHPLcymSGd5T1GLLvX5duNmUgovGBsK1RiuGCC1xPr1dY3fIuh0hQ5fs7I5\nU+yE4yR+rktiJwA0NT2AqlQ8I188c19acbuvr+2b3kaNGoW/v7/pmO7du5u+6ir+ByTbzrl95MgR\npxqPbDu27Uzxyy/Mh3gA0LT1AKBrUQA/xQMBxvbFc76jy23Nwcu4TTxoGqignnkbzMeXtZ0XmEWa\nPtli/4aft/L9e6eh17Xjk2/lz/gL1GnwEZnXDiPrBM2aPcWkSeNr/Pcl27It2zWzXcxZxiPb198u\nfn3+/Hkqk9OuY19STEwMgwcPdngd+xUrVjB27FjGjRvHsmXLrPaHhoYSHR3Njh07GDRokMU+Wcde\nCAFwKukUHRZ3AOAW93ZceuUUy9b+j+ePP2M+6Mv1NG65kqv9NpqahgY8zYb4L1AosvtabrijU9Ul\nW0k2tTVP6MnFXyfAQ88ZG44/At9+Q6fgxzge8g0Amtw6rO//A2FhAyrwToUQQtSUWr+OfWUoTtaj\no6OtflmZmZns3r0bb29vevfuXRPDE0K4AItSHLVxxn7dJychrZX5oOzGXP1rrMV5vl510KBz6FqF\nFJCtpFi0ZbqnQYsSK3dd7gZAA492oKgAMOiyCBnSx6FrCSGEqH1qRWJvMBg4efIk586ds2gPDAwk\nJCSE+Ph4Fi9ebLFvzpw55OTkMGLECDw9PatzuKIalP5qUrgWZ4qfxao41xL7fL07xL5qXNf+4h1w\nsRfkWdbYN/Cug7vKscTeyHISIs8rBVr9bG74qz8AXlqo69bE2KZSuJx12WZvUVGxhIa+SufO42nU\n6DG6dJlCaOirVbY0pjPFTjhO4ue6JHYCnLjGfv369axfvx6Ay5eN/4e1Z88eRo0aBYCfnx/vvvsu\nAAkJCXTs2JHWrVsTHx9v0c+SJUsIDg4mPDycHTt20KFDB/bv309MTAzt27dn/vz51femhBAup2Ri\n7+5mTOy1WgPsGgu/Pw4F3qCoIc/yXp16Xj54qHTkVPCb1QKfNKhzbRa/0B0u3kFQ0CtMmjSEcye2\nkJFj/PuYkJFAy3otLc6Niopl8uStxJ0fDA2/giaPkKxL4ve9DxIXZ5zskPIdIYSoPZw2sT969Cir\nV69GpTJ+1axSqYiPjzfNyvv7+5sS+2LFx5YUGBjIwYMHmT17Nlu2bGHTpk00a9aMKVOmMGfOnDKX\nwhSurfhpQaYfAAAgAElEQVQmFeGanCl+tmbsw8NDiIubRVyceWKgVZNl/FXivLraOniodZQusdeq\nvdEXZdt9fUVl7sArrQn9736LSZOGEBY2gAUXW3Am5yAAFzIu0AfLcpzIyG3EpT4Lk3tA3SxguXHH\nHUuIW3qMRYteq/TE3pliJxwn8XNdEjsBFUjsDx8+zNatWzl69Cjx8fGkp6ejKAq+vr4EBgZy++23\nc++999K1a9dy9T9nzhzmzJlj17H+/v4UFZV9g1qLFi1YuXJlucYhhLi5WST2GmNiX5wML1r0Gnl5\nbuh0hYx+PozHjiwxHevj4YOHmw4Mlv15u9VzKLEvafyQJ3k/8g3TdpBfC3b+bXydkGH94Cy9XgPd\nP72W1JfQ5Ddwy5d174UQopZxKLE3GAx8+umnvPPOOyQnJ9OvXz/atWtH586dadiwIUVFRaSkpJCS\nkkJ0dDTz5s2jVatWvPjii4waNcrmjLoQVSEmJkZmL1yYM8XP8smzHqbXYWEDLGa7i5QiOKKiuEbe\nx8MHrdq6xt5HU4+UgkvlGsugoH4W20F+LUyvzyVZJ/ZarQHqnbLdmTajSta9d6bYCcdJ/FyXxE6A\nA4n9H3/8wTPPPEPnzp35+uuv6d69O2r19e+9NRgMHDhwgIULF7Js2TK++OILgoKCrnuOEEI4k5KJ\nvbZEYl+aWqXGo8ibfLVxdvy/b35P/q35VsfVca8HuZZt7ioPChTLY9UqtfHDQgnBLYMttlvWNSf2\nZ69aJ/bh4SH8uOWT0l8aANCq7WtMmvREme9HCCGE67FrVZw9e/bw0ksv8d1337Fq1Spuu+22Gyb1\nABqNhuDgYL799ltWr17N888/z8GDBys8aCFuRGYtXJszxc+yFMe9zOOiomIxZJv/Lh7e9wJXLmZa\nHefjUdeqrb7O+im1nRt3ttjWZjRi387jFm0tSiT2F9KtE/t/3NcPGmSYtlUZXqbX0165vUpunHWm\n2AnHSfxcl8ROgB2JvcFgYPv27WzYsIFWrVrd6PAytW/fno0bN7Jx48YbHyyEEE6ioKjA9FqrKXvG\nPjJyG0UZ7cwNuQ3Iz+5kcYwaDd7u3lbnNrKR2DcrbG2xrT/9MJMnb7VYprJkYn85xzqxv5R5CYM6\nDwAvVQO6tOxp2tetV5sy34sQQgjXdMPEXqPRMHv2bDSaii+go9PpeP311yvcjxA3Iuv5ujZnip9F\nKY572Ym9Xq+BfVNBXwf+GApXO4PBssZegxadu9bqXD9v68T+wr5SCwL81Z+4uPksWhRtampet7np\ndVrhJQqLLGvmzySfMb1u5d2WejrzKmDpeellvpeKcKbYCcdJ/FyXxE5AFSx3efbsWebPn4+iKDz3\n3HP069fvxicJIYSTKpnY664zY6/VGuC3J+H4o1B07U9rqcTeXaXDy8P6htomdawTe01mI8i8Bepc\nW/bmL+Pf0pIr2eg0OnxUfmQpiRRRyJoN6/li2WH0eg1arYG2T+SZjr21cTsKS6welq6vmsReCCFE\nzan0xL5NmzasWrUKRVG477772Lx5c2VfQogbklpD1+ZM8bNI7K8zY29rbXtv3e+UXNjSXaXD08aM\nfdO61om9N1qIfgcGzYZjT0Oav3EMpVayaaxrQVZuIgCvvPs9lxrUBc882BzBvnr3wrVqoG4t2/Jn\nsvnptBn6DKqCM8VOOE7i57okdgIqIbH/8MMP+eSTT8jMzERRFNOSlunp6QQGBlZ4gEIIUZPsText\nrW1feEcg29OPmY7xUGvx1lrP2Df2sk7snx81hCsvHSQuwvw07eInzpbUom4LzuUeBuBS1xNwi/E1\nGS3I0DQ2HdehUTuy883L8aRVUSmOEEKImlOhxP7TTz9l/vz5DB48mBMnTtCtWzcArl69SlJSElu2\nbKmUQQrhKFnP17U5U/wsEnuPshN7sF7bPvyHl9j+q3m/h5sOL4/SM/YqGno1tOrrsQfup757Q4sP\nCsVPnC0psFELYq9c2yhO6gHabwQ3vWmzbcO2xKeZPySkZFddjb2zxE44TuLnuiR2AiqY2H///fcc\nPnyYpk2bMnPmTN5++23TvmPHjrFmzRrCw8MrPEghhKgpeoM5sfe8zoy9LT46y9l5WzP27nji4+Fj\n0aajLu5u7lYfFGxp07gFHLexo+lRKDLX47dt0Jb9CftN20mZVVOKI4QQoubYtY59WW699VaaNm0K\ngEql4tIl89MUu3btSmpqasVGJ0Q5yayFa3Om+OUVlFgV5zo3z9pS+kZZrZvOalUcD5Wn1RKYdTWN\n7L5Gy3otyt6pNtbj11U3pY62jsWqOMlVNGPvTLETjpP4uS6JnYAKJvZarZaLFy9y5coVBg4cyCuv\nvGKx/8KFCxUanBBC1LTc/BIPqLrOk2dt0WlKJfYarXWb2gtvD8vE3ldrf2Jfci37svjXMa6vX1dr\nfjhWWq7U2AshRG1TocTe29ubLl26cNddd3HPPfdw4MABwsLCWLJkCePHj+fs2bOVNU4hHCLr+bo2\nZ4pfyRn7iib2Oo0OrZvljL1WbV2KY6vmvixnD/1t2ZDRzOqYTk3bAlBPW3Id+6opxXGm2AnHSfxc\nl8ROQAVr7CdPnkxBQQGNGzdGrVbz5Zdf8sADD7B582Y8PT3ZtGlTZY1TCCFqROUm9tYz9jo3L6tS\nnCZ17J+x/2b5MehdoiH2Nej3Nvj+ZWo6uDWeqDqxtOzpa2rLzJcZeyGEqG0qlNhrtVpmzZpl2u7W\nrRtxcXEcP36c5s2b4+dnvYSbENVBag1dmzPFr+TNs+5qd4fOLZ3Ee7rr0Gq0pY6xnrG/pZ79M/aG\nXE9Iag+NTkFeXfjtCWi6GXqaE/sz+/7F5J+28sp/u5rasgxSYy+sSfxcl8ROQAVLcQ4fPmzVNn36\ndJYvX87WrVsr0rUQQjgFvaHA9LqiM/ae7tYz9l7u1jX2zXztn7HXag2w9ivYFw6fbwJ9PThTaknN\n5HbExc3n8xW/mJpyCmVVHCGEqG0qlNjPnj3bqu2DDz7g/fffJyAggKlTp1akeyHKTWoNXZszxa/k\njH1FE3svD+saey9361Vx/LzsT+zDw0MI8v4WtkTAhb4AaC+5geHadQxaSA0yvszxMp2XRwZFSpHd\n17GXM8VOOE7i57okdgIqmNiXxcPDg759+5KWllahfhISEhg9ejTNmjVDp9OZPiw40q+iKHz99dcM\nGjSI5s2b4+XlRVBQEI8++ij79u2r0PiEELVfZSb2nh7WM/beHl54uXtZtC15fxtRUbF2XSMsbAAR\nEaGEhr7GXXfNJTT0NTq2qQ+bPoSrHWHr+2AwXtNTq+BB8YcIhaz8LIfejxBCCOfmUI39rl27iImJ\nQaVSoSgKp0+f5vXXX7c6zmAwcOzYMTIzM8s9sLi4OIKDg0lMTGTo0KF06NCB/fv3ExERwZYtW9i9\nezcNGjS4YT9jx45l5cqVNGrUiKFDh9KoUSPOnDnDhg0b+O6771i9ejVPPfVUuccpnJPUGro2Z4pf\nfiUm9t5a6xp7b60nWzbvhgINuBsAOLZ3EpMPGMsZb/SAquJjSh4XFRXL5MlbiVtifnJVUNArTJo0\nhP2HVpJflA1Ahj7DYgnMyuBMsROOk/i5LomdAAcT+86dO2MwGPj2229ZtWoVBQUFzJ071+o4T09P\ngoOD+eSTT8o9sBdeeIHExEQWLVrExIkTTe0vvvgiCxcuZNasWSxduvS6ffz555+sXLmSpk2bcuzY\nMRo1Mn+9HRMTw+DBg5k9e7Yk9kKIMukLK7EUR2s9Y++j9SIycht08wX3JGNjTkPirs5n0aLX7Ers\nSys+Z9Gi18jLc0OnK2TSpCGEhQ3A61hd0vKNDxNMz0u3ax18IYQQrsGhUpyGDRty9913s2zZMj77\n7DPCwsIoKiqy+snOziY6OprAwMByDSouLo7o6GgCAgIsknqAefPm4eXlxZo1a8jJybluP4mJiQDc\neeedFkk9GD/Z+vj4kJSUVK4xCucmtYauzZnil1+Zib27dY19HU9P9HoNJHUwNuh9IL01AHl5buUY\nsVFY2AC2bHmDmJi5bNnyhinZr+NeYi17feWvjONMsROOk/i5LomdgArU2A8fPpwBAxyfSbLHzp07\nAQgJCbHa5+PjQ9++fcnOzr5hjXznzp1p2rQp+/fvJzk52WJfbGwsWVlZ3HPPPZU3cCFErVOZib2t\nJ8/W1XkZV7aJWgoHx8Par0FvLI/R6QrLOeqy1dOZE/sMvayMI4QQtUm5E3t3d3emT59u1X7mzBme\nffZZRo0axc8//1yuvk+dOgVAu3btbO5v27at6VrXo9PpWL9+PT4+PnTs2JFx48Yxc+ZMHn30UUJD\nQwkJCeGjjz4q1xiFc5NaQ9fmTPErqMTEXqexXWMfHh5CUJ0v4YdlcOY+oLgm/t5yjrpsvjpzTX16\nXuXP2DtT7ITjJH6uS2InoIIPqLKlbdu2rFq1CkVRuO+++9i8ebPDfaSnG//Ppl69ejb3F7fbszpO\n165dGTVqFO+88w7Lly83tbdp04aRI0dalegIIW5uUVGxREZuQ6/XoNUayOidapoCqfCMvZvtdeyv\nVxNf2Rp4V20pjhBCiJpT4eUuP/zwQ7p160ZgYCABAQEEBgYSGBhIo0aNarx+3WAwcPfdd/Pqq68y\nduxYzp07R05ODr/++iuBgYE89dRT/Pvf/67RMYqqIbWGrq2m4hcVFcvEf69jW4GaXVe7sm3bm6Rk\nmJPfSpmxL1Vj76nxBMquia9sjepUbSmO/NtzbRI/1yWxE1DBGftPP/2U+fPnM3jwYE6cOEG3bt0A\nuHr1KklJSWzZsqVc/RbPyBfP3JdW3O7r63vdftasWcPevXt5+OGHee+990ztPXr04Pvvv6ddu3Ys\nWLCACRMmEBAQYHX+qFGj8Pf3N12re/fupq+6iv8BybZzbh85csSpxiPbjm3XVPwiI7fzp38+NHoD\nWgGX4yhU6kJ8CgDubu4O9ddvQD8AiDf+j6nG/to2AeDp7lmtv9+G3nVN10/NSa/y68m2bMt29WwX\nc5bxyPb1t4tfnz9/nkqlVMCDDz6o/P3334qiKMrLL79sse/o0aNKREREufpdvny5olKplPHjx9vc\nHxISoqhUKuXHH3+8bj8TJ05UVCqV8uGHH9rcP2zYMEWlUinr1q2z2lfBX40QwgXdddcchWf7K8zF\n+NP2B4VpzU3bF9IvONyneq7GdP6GkxuUwqJCc/9zUb49/m0VvJOyLdy70HTtcd9PqtZrCyGEsK2y\n8k51RT4U3HrrrTRt2hQAlUrFpUuXTPu6du1KampqufodNGgQANHR0Rjfq1lmZia7d+/G29ub3r17\nX7cfDw8PwPgNgi3Fy2EWHyeEuLlptQZwL7GMrkc2uJX/5lkAd8zlOFo3LWqVGjfcTW3FpTjVpeQD\nqZKzZFUcIYSoTSqU2Gu1Wi5evMiVK1cYOHAgr7zyisX+CxculKvfwMBAQkJCiI+PZ/HixRb75syZ\nQ05ODiNGjMDT0/h/iAaDgZMnT3Lu3DmLY4uXsvz4448tPnQAbN68md27d5sepiVql9JfTQrXUlPx\nCw8PwU133tzgno1KY05+y5PYq4rMa9G/OnMNUVGxaDDX2Xu5e5VrrOVVT2uusU/JkXXshSWJn+uS\n2AmoYI29t7c3Xbp0oXHjxpw4cYIpU6YQFhZGWFgYR48e5ezZs+Xue8mSJQQHBxMeHs6OHTvo0KED\n+/fvJyYmhvbt2zN//nzTsQkJCXTs2JHWrVsTHx9var/vvvsYOnQo69ev59Zbb2XYsGE0adKEP/74\ngx9++AGVSsV//vMf6tevX5FfgxCilggLG4DXAXcyr2136PY1Z9yheDV5RxP7qKhY8rOLoI5x++De\nfzH58EaKHofiSfuXX1rN7NFuVXazbGkl17FPy5VVcYQQojapUGI/efJkCgoKaNy4MWq1mi+//JIH\nHniAzZs34+npyaZNm8rdd2BgIAcPHmT27Nls2bKFTZs20axZM6ZMmcKcOXNsLoWpUqms2tauXcvH\nH3/M//73P77//ntycnJo2LAh999/P+Hh4fKAqlqq+CYV4ZpqMn6KWyFcqwB8duxgZm7fbtrnaGIf\nGbmNovZNoPijQqGWuLhQyI0wJfYHdk9l8tGvAaoluS9ZipOZX/mlOPJvz7VJ/FyXxE5ABRN7rVbL\nrFmzTNvdunXj7NmzHD9+nObNm9O4ceMKDa5FixasXLnyhsf5+/tTVFRkc59arWbChAlMmDChQmMR\nQtwcCpRc0+uMvEyKrs3Xq1DhpnIr6zSb9HoNJN0KDc9CgSektQYWQG4A1P3deFBufeKuzGfRoteq\nJbEvWYqTWSAz9kIIUZtUqMbeFg8PD3r06EHjxo0tHgglRHWSWkPXVlPxUxSFfMw3zyZmmRcAcMPD\n5reC16PVGmBzBOyeDl+vg7z6gAZ2/xtyGsLBcZDREoC8vOt8aMjPhz//hD174JtvYOFCmD4dZsyA\nDz+EjRvh6FFITYVSCw6UVrIUJ9sgNfbCksTPdUnsBFTBk2eLxcfH8/777/Pcc89V1SWEEKJS5Rfm\no2D+9i8p2zKxd1R4eAhxk5cTF/1fU5un5x/kHpsLx54CzB8UdLpC84nJybBhA3z3HRw8CGWs7GWT\njw+0agV33gmPPgp33w3u5lV4Spbi5CmyKo4QQtQmKqX0epJlaN26tc1VblQqldWSlMV8fX1JSUmp\n2AhryPXelxCidkrNTaXBfxuYtgc2v4+Yi8Z7hbxVDcma7fjTtKOiYlm0KJq8PDd0ukJ6976FNWsu\nEhdnXgAgKOgVls7txb3ZV2DtWti5EwoLr9OrAxo2hIcfNib5AweiuLmhed2DIgwA5M3KQ6sxr9IT\nFRVLZOQ29HoNWq2B8PCQaruxVwghblaVlXfaPWPfsGFDhg0bRvfu3U1tGRkZfPHFFzz++OMWxxoM\nBlatWsUzzzxT4QEKIUR1ySnIsdhOzTXP2GtU5XveRVjYAKvE+I47Ylm06DX0uWpC0n5jnBJPw5Hv\nQBn3CqFSQdOm0Ly58adFC+P/FhUZS3T++sv48+efkGP5HkhOhk8+Mf74+aEaPpyeam8ONDaW4aTr\n02msMd4PFRUVy+TJW4kzhECnb+DwGOImf2d6H0IIIZyb3Yl969atWbBgAW5u5jrQ1157je3bt+Pj\n42N1/FNPPWXXja9CVIWYmBhZIcCF1VT8Sif2afqSib176cPLLey+/oRpcmHmTDh22PZBffrA8OHw\nwAMQEGBRTlMmRYGUFDh5EtatM9bjJySY9ycmwrJl7FXBZ91g9iDI0GfQ2NuY2EdGbiPu/ByY1gK8\nE6H1T8QtPebQjb3yb8+1Sfxcl8ROgAOJ/ffff2/VptfrbSb1ALfccgv5+fk29wkhhDPKNeRabGcW\npJlea9SV9ITqX36Bl1+GH3+0bFepoH9/YzL/8MPGWXlHqVTG0pu+fY0/774L+/bB11/Dt9/C338D\noFbg2SPw+O+QVjAf3lgIvr7GVXy8Eo1JPYDfcUC5/o29QgghnEaFVsXJzc297v6srKyKdC9Eucms\nhWurqfiVnrHPKpHYu1c0sT99Gh55BHr1skzqPT2NM/eXLsGuXRAeXr6k3ha1GoKDISICLlyAmBgI\nCzNf2gC3fPgp6X7NWNYhhNy0v8GzxH1R6iLwyLK8sfcG5N+ea5P4uS6JnYAKJvYpKSnExsba3Hfs\n2DH+/PPPinQvhBDVqnRin6/kmV6XO7EvKIBZs6BjR+ONscXc3GDcODh7Ft56y1hDX5Xc3OCuu+CH\nHxg9phMHbzHvqmfIZcKpaL75/QserjPR4rTW7WfSu/cthIa+ysCBcwkNfZWoKNt/94UQQtSsCiX2\nr7zyCg8++CAPP/wwCxYsYNWqVSxevJhnnnmGgQMHMmPGjMoapxAOkfV8XVtNxa90Yl9SuRL7c+eM\n5TVvvWW5ys3w4XD8OHz0ETRrVo6Rll9UVCxf61X0GguPD4dzvuZ9rQuz+C7uJ96OBs214f7j4Xqs\nWXORbQnd2dXkd7adHMLkyVvLTO7l355rk/i5LomdgAquY9+pUyc2bdrEyJEjWb9+vam9VatWrF27\nll69elV4gEIIUV2ul9h7uDmY2H/5JYwfD5mZ5rZ+/WDBAmM5Tg2JjNxGjmYAtPmdr7vA97fC87/A\na7HQ8Fp15cu7YeB5eOKf8GvCBeL+WgYvNQFtFjT6g7glx6vtSblCCCHsV+EHVAUHB3Pq1Cn27t3L\nhQsXaNmyJX369EGtrvSH2gphN6k1dG3OUmNfkt2JfVYWTJoEn35qbtNo4M03jU+LreG/jXq9BvLM\nZT/5GojoA192gc8WDmJI4U4Ael+EI8vgjW7n+MXnb2NSD9DoJKgKy7yhVv7tuTaJn+uS2AmopCfP\nqtVq+vbtWxldCSFEjcktKHtBALsS+19/hSeegDNnzG2BgcbZeyf5BlOrNcD+Z6HjaiAD6hrAK4Wr\nPjC+axBvBqTz+PpDuBdBPT28d2A37bx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ux4hSZXJF/Rrrf85EWTopf84Vnh4BeaXa3dGq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\nY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/6Vfv36sWvXLoKDgwGkK+pdSI44+snt6aefpmvXrrzxxhv1rnOzhx5Ey/SXv/wFgJ07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\nCNEKSGIvhBBCCCFEK/D/ASVWBbMfJ+f/AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x109752390>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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xdG9un+QXFBQwatQoAgICHM65LYSofrUtKbuelJbkO6q/tx3J91BZn+dhe+Ot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\nYFPg4YE6MhJGjWLQH8v4Jn8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bwYMHSUhIIDo6ukodTEhIIDw8nBEjRrBmzZoS21etWsWY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\n3FeaxlrW7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H5e2dXEszFtMT+v13s9KysLTdNwd3c3lUluNl9D8WxMW8xNsE48nZ2deeKJ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\n",
"text": [
"<matplotlib.figure.Figure at 0x10a748bd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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dYw6QkS0z5kIIcTcq9Yx5YGAgkydPZvLkydjZ2fHNN99w5MgRxo0bx+rVq5k9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jU1NXBycjL9MgeNRoOMjAwAwIYNG6DRaJCamip5Buoi69ocGGe4ojyw/erVqyOKc7yQlc/y8nIA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\nRESkAmzMiYiIiIhUgI05EREREZEK/B+h01+rUbMHTgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10d0723d0>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the joint distribution between parameters, $a$ and $K$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.plot_joint_distribution('a','K',show_prior=False)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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n80Gj0mB+9nwUZRVFfO9I7QL9D0+aG81wyS7oNDpoocXeD/dCoxoMXQcc+Nmh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CAAAg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\nFy0vAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x109726190>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"...showing the joint, with the prior, to see how much the inference constrains the final best estimates of the parameters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.plot_joint_distribution('a','K',show_prior=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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9zt/N9lN27BB55JHM2qXL8DD+PftsahrgTCQcLpVg8KwcOIAxXLRI1bXRqVYz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