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aflaxman/2014_06_21a_pymc_bugs_compare.ipynb

Created June 22, 2014 01:10
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2014_06_21a_pymc_bugs_compare.ipynb
{
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"name": "",
"signature": "sha256:3f09caa48390c978ccdd0ac96ca391c36cb899c67f64a55a666b1ab220fda4d0"
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"cells": [
{
"cell_type": "code",
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"!date"
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{
"output_type": "stream",
"stream": "stdout",
"text": [
"Sat Jun 21 17:30:31 PDT 2014\r\n"
]
}
],
"prompt_number": 20
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Replicate a BUGS model in PyMC2\n",
"\n",
"From Stackoverflow: http://stackoverflow.com/questions/24294203/difference-between-bugs-model-and-pymc\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt, pymc as pm, seaborn as sns\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from pymc import Gamma, Poisson, Normal, MCMC, deterministic\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# BUGS model\n",
"\n",
" model\n",
" { \n",
" # Set up data\n",
" for(i in 1:Nsubj) {\n",
" for(j in 1:T) {\n",
" # risk set = 1 if obs.t >= t\n",
" Y[i,j] <- step(obs.t[i] - t[j] + eps)\n",
" \n",
" # counting process jump = 1 if obs.t in [ t[j], t[j+1] )\n",
" # i.e. if t[j] <= obs.t < t[j+1]\n",
" dN[i, j] <- Y[i, j] * step(t[j + 1] - obs.t[i] - eps) * FAIL[i]\n",
" }\n",
" Useless[i] <- pscenter[i] + hhcenter[i] + ncomact[i] \n",
" + rleader[i] + dleader[i] + inter1[i] + inter2[i]\n",
" }\n",
"\n",
" # Model \n",
" for(j in 1:T) {\n",
" for(i in 1:Nsubj) {\n",
" dN[i, j] ~ dpois(Idt[i, j]) # Likelihood\n",
" Idt[i, j] <- Y[i, j] * exp(beta[1]*pscenter[i] + beta[2]*\n",
" hhcenter[i] + beta[3]*ncomact[i] + beta[4]*rleader[i] + beta[5]*dleader[i] + beta[6]*inter1[i] + beta[7]*inter2[i]) * dL0[j] # Intensity\n",
" } \n",
" dL0[j] ~ dgamma(mu[j], c)\n",
" mu[j] <- dL0.star[j] * c # prior mean hazard \n",
" }\n",
"\n",
"\n",
" c ~ dgamma(0.0001, 0.00001)\n",
" r ~ dgamma(0.001, 0.0001)\n",
"\n",
"\n",
" for (j in 1 : T) { dL0.star[j] <- r * (t[j + 1] - t[j]) } \n",
" # next line indicates number of covariates and is for the corresponding betas\n",
" for(i in 1:7) {beta[i] ~ dnorm(0.0,0.00001)} \n",
"\n",
"\n",
" }\n"
]
},
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"cell_type": "code",
"collapsed": false,
"input": [
"# data\n",
" \n",
"dta = dict(T=73, Nsubj=430, eps=0.0, t=[1, 21, 85, 128, 129, 148, 178, 204,\n",
" 206, 210, 211, 212, 225, 238, 241,\n",
" 248, 259, 273, 275, 281, 286, 289,\n",
" 301, 302, 303, 304, 313, 317, 323,\n",
" 344, 345, 349, 350, 351, 355, 356,\n",
" 359, 364, 385, 386, 389, 390, 391,\n",
" 392, 394, 395, 396, 397, 398, 399,\n",
" 400, 406, 415, 416, 426, 427, 434,\n",
" 435, 437, 441, 447, 448, 449, 450,\n",
" 451, 453, 455, 456, 458, 459, 460,\n",
" 461, 462, 463],\n",
"obs_t = [460, 313, 435, 350, 435, 350, 350, 460, 460, 448, 225, 225, 396, 435, 396, 396, 453, 396, 456, 397, 397, 396, 395, 275, 449, 395, 395, 462, 302, 302, 458, 461, 396, 241, 389, 458, 304, 304, 395, 395, 364, 460, 415, 463, 396, 459, 441, 435, 396, 458, 437, 396, 356, 356, 396, 455, 396, 462, 399, 400, 350, 350, 395, 395, 441, 355, 85, 458, 128, 396, 386, 386, 386, 462, 458, 390, 390, 396, 396, 396, 427, 458, 395, 275, 275, 395, 359, 395, 395, 441, 395, 463, 178, 275, 463, 396, 396, 259, 396, 396, 458, 441, 396, 463, 396, 463, 435, 396, 437, 396, 398, 463, 460, 462, 460, 460, 210, 396, 435, 458, 385, 323, 323, 359, 396, 396, 460, 238, 441, 450, 392, 458, 396, 458, 396, 396, 462, 435, 396, 394, 396, 435, 458, 1, 395, 395, 451, 462, 458, 462, 396, 286, 396, 349, 449, 462, 455, 21, 463, 461, 461, 456, 435, 396, 460, 462, 462, 435, 435, 460, 386, 396, 458, 386, 461, 441, 435, 435, 463, 456, 396, 275, 460, 406, 460, 406, 317, 406, 461, 396, 359, 458, 463, 435, 462, 458, 396, 396, 273, 396, 435, 281, 275, 396, 447, 225, 447, 396, 435, 416, 396, 248, 396, 435, 435, 396, 461, 385, 396, 458, 458, 396, 461, 396, 448, 396, 396, 460, 455, 456, 463, 462, 458, 463, 396, 462, 395, 456, 396, 463, 396, 435, 459, 396, 396, 396, 395, 435, 455, 395, 461, 344, 396, 395, 396, 317, 396, 395, 426, 461, 396, 289, 441, 395, 396, 458, 396, 396, 435, 396, 395, 396, 441, 345, 396, 359, 435, 435, 396, 396, 395, 458, 461, 458, 212, 301, 458, 456, 395, 396, 395, 435, 396, 396, 303, 458, 460, 400, 396, 462, 359, 458, 396, 206, 441, 396, 458, 396, 462, 396, 396, 275, 396, 395, 435, 435, 462, 225, 458, 462, 396, 396, 289, 396, 303, 455, 400, 400, 359, 461, 396, 462, 460, 463, 463, 463, 204, 435, 435, 396, 396, 396, 463, 458, 396, 455, 435, 396, 396, 463, 396, 461, 463, 460, 441, 460, 435, 435, 460, 455, 460, 395, 460, 460, 460, 435, 449, 463, 462, 129, 391, 396, 391, 391, 434, 356, 462, 396, 349, 225, 396, 435, 461, 391, 391, 351, 211, 461, 212, 434, 148, 356, 458, 456, 455, 435, 463, 463, 462, 435, 463, 437, 460, 396, 406, 451, 460, 435, 396, 460, 455, 396, 398, 456, 458, 396, 456, 449, 396, 128, 396, 462, 463, 396, 396, 396, 435, 460, 396, 458],\n",
"FAIL= [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
"pscenter= [\n",
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"inter1= [ -.01434325, -.01460965, 0, 0, 0, -.01113493, 0, 0, 0, -.0553269, -.03238896, 0, 0, -.07062459, -.07464545, -.07032613, 0, 0, -.01408955, 0, -.00219072, 0, 0, 0, 0, 0, .07300876, .01394272, 0, 0, 0, 0, 0, 0, .05120398, 0, -.00550709, -.02062663, -.03077685, -.01688493, 0, .01149963, 0, .01149963, .01149963, 0, 0, 0, 0, 0, 0, 0, 0, 0, .01149963, .0034338, .0376236, .00733331, 0, .03832785, .03832785, -.02622275, -.02622275, -.02622275, -.01492678, 0, 0, -.02897806, -.02847666, 0, 0, -.04224754, -.04743705, -.0510477, -.031893, 0, 0, 0, -.01503116, .003101, -.00083466, .02395027, -.07952866, 0, 0, -.06586029, 0, -.0613939, -.081205, -.07540084, -.08488011, -.08488011, 0, -.07492433, -.08907269, -.09451609, 0, -.08980743, 0, -.0771635, 0, 0, -.0771635, -.08204606, 0, -.05263504, 0, -.05109092, -.04696729, 0, -.04696729, 0, -.05303248, -.05348096, 0, 0, .00584956, -.00792241, -.01719816, 0, -.01576016, 0, -.04014061, 0, 0, 0, 0, 0, .0471441, 0, .04233112, 0, .04233112, 0, 0, .0493324, .04512087, .03205975, .02913185, 0, .05324252, 0, 0, 0, 0, .05054695, 0, .14026688, .01734403, .06078221, 0, 0, 0, -.03138622, 0, .01637333, 0, 0, 0, 0, .01897239, .01591935, 0, -.0619156, 0, -.06851645, 0, -.03889525, -.05023452, -.05013452, 0, 0, -.01362136, 0, 0, -.02634164, 0, 0, 0, 0, -.00890537, -.00611669, 0, 0, 0, -.01513384, 0, -.03551984, 0, -.01978032, 0, .06706496, .10551275, 0, .03092981, .06556855, 0, 0, 0, .09362991, 0, 0, 0, 0, 0, 0, .02610553, .03546937, 0, 0, .034415, 0, 0, 0, .07546701, 0, 0, 0, 0, -.02919447, -.01016712, 0, 0, 0, 0, -.04845615, -.05010044, 0, 0, 0, 0, 0, 0, -.07666632, 0, 0, -.07226554, -.08216553, -.0777643, 0, 0, -.04727952, 0, -.06870384, -.05999847, 0, 0, 0, .02772475, .02883079, .03642944, 0, .04148949, 0, 0, 0, .04268012, .03225577, 0, -.05140995, -.05399637, 0, 0, .02432223, 0, .0490674, .0490674, .0490674, 0, 0, 0, 0, 0, 0, 0, 0, .10476315, 0, 0, 0, 0, 0, .07008056, 0, 0, .01667466, 0, .05253941, .04293926, 0, .02692172, 0, 0, .08742411, .04533176, 0, .01831875, 0, .09834951, .09952456, 0, .02945534, .038731, 0, .04435538, 0, -.02357505, 0, 0, -.02357505, .09324722, 0, 0, 0, -.03490683, 0, -.05054474, 0, -.0474724, -.04905931, 0, .02879751, 0, 0, 0, 0, 0, 0, 0, .04439012, 0, .02989959, .02989959, .05468828, .04463226, 0, 0, 0, 0, 0, .01231324, -.01399783, .04595331, .00145386, 0, .06459354, -.0007196, 0, -.07614055, -.08435525, 0, -.10299519, 0, 0, 0, -.00210284, -.00797183, 0, 0, 0, 0, -.03545086, 0, 0, 0, 0, -.061286, -.07666647, 0, -.05902354, -.07652324, -.07645561, 0, 0, 0, -.03292062, 0, 0, 0, 0, -.075417, 0, -.07922532, 0, -.08583414, -.07450142, -.08066016, 0, 0, -.06249051, 0, 0, 0, 0, -.0618688, 0, -.06524737, -.04419825, -.04489509, 0, 0, 0, -.04520512, -.04187583, 0, 0, -.03753508, 0, 0, 0, 0, 0, 0, 0, 0, .06862645, 0, 0, -.00120631, .01947345, 0, 0, .03561932, 0, .03158225, .03608047, 0, 0, 0, -.02899643],\n",
" \n",
"inter2= [-.78348798, -.63418788, 0, 0, 0, .11481193, 0, 0, 0, -.88128799, -1.109488, 0, 0, -.30888793, .29651192, -.36688802, 0, 0, -.59088796, 0, .50561196, 0, 0, 0, 0, 0, 2.1662121, .08891205, 0, 0, 0, 0, 0, 0, -.23918791, 0, -.9575879, -.07728811, .29641202, 1.2273121, 0, 1.5764117, 0, .72131211, 1.279212, 0, 0, 0, 0, 0, 0, 0, 0, 0, .36481193, 1.5480118, -.03078791, 1.389112, 0, .70901209, -.16668792, 1.435812, .47001198, 2.0838118, 1.1673121, 0, 0, 1.4470119, .23301201, 0, 0, -.61948794, -.41388795, .263212, .66171199, 0, 0, 0, 1.6920118, 1.334012, 1.2101121, .41591194, -.48498794, 0, 0, .09911207, 0, -.46908805, .0205119, .0535119, -.14228792, -.55708808, 0, -.54008788, -.30998799, -.10958811, 0, -.01338812, 0, -.51788801, 0, 0, .13271193, -.11208793, 0, -.54508799, 0, .16641192, .95871216, 0, 1.6281118, 0, -.49718806, -.41348812, 0, 0, -.11718794, -.57058805, -.59488791, 0, -.65658802, 0, -.52698797, 0, 0, 0, 0, 0, 1.3500118, 0, 1.665812, 0, 1.963912, 0, 0, 1.9371119, .90991193, -.39558789, .39521196, 0, -.05268808, 0, 0, 0, 0, -.12458798, 0, -.28228804, .79281193, -.26358792, 0, 0, 0, -.72828788, 0, .355912, 0, 0, 0, 0, -.43538806, -1.566388, 0, -.28388807, 0, -.69028801, 0, -.78128809, -.54648799, -.92738789, 0, 0, .61571199, 0, 0, 1.012012, 0, 0, 0, 0, .43991187, .9404121, 0, 0, 0, .61671191, 0, 2.6073117, 0, -.60438794, 0, -.18108793, -.48178813, 0, -.22628804, -.07398792, 0, 0, 0, 1.830512, 0, 0, 0, 0, 0, 0, -.36918804, 1.3247118, 0, 0, 1.163012, 0, 0, 0, 1.3241119, 0, 0, 0, 0, -.90038794, -1.250888, 0, 0, 0, 0, -1.048188, -.90138787, 0, 0, 0, 0, 0, 0, -.00878807, 0, 0, .46301201, -.22048803, -.71518797, 0, 0, -.4952881, 0, -.83718795, .57951194, 0, 0, 0, 1.054112, .61721212, 2.2717118, 0, 2.0280118, 0, 0, 0, 2.6503119, 2.3914118, 0, -.36418793, -.9259879, 0, 0, .16971211, 0, 1.9360118, 2.5344119, 2.0171118, 0, 0, 0, 0, 0, 0, 0, 0, .77211195, 0, 0, 0, 0, 0, 1.952312, 0, 0, .25901201, 0, -.5028879, .03641204, 0, .38571194, 0, 0, -.44528791, -.55918807, 0, .39721206, 0, -.34038803, -.05988808, 0, -.03518792, .045512, 0, -.039288, 0, .01431207, 0, 0, .030412, -.31918809, 0, 0, 0, -.324388, 0, -1.232188, 0, -.23678799, -.89188808, 0, -.6766879, 0, 0, 0, 0, 0, 0, 0, -.67818803, 0, 1.099412, 1.2767119, -.64068788, -.50678796, 0, 0, 0, 0, 0, .68371207, .11251191, -.17128797, .17081194, 0, -.48708794, .09591202, 0, -.20108791, -.02158805, 0, -.3012881, 0, 0, 0, -.87638801, -.54488796, 0, 0, 0, 0, -.14738794, 0, 0, 0, 0, -.75718802, -.37418792, 0, 1.0981121, 1.1441121, .47381189, 0, 0, 0, -.33498809, 0, 0, 0, 0, -.91838807, 0, -.34488794, 0, .12971191, .99381214, -.91608804, 0, 0, .98171192, 0, 0, 0, 0, -.01528808, 0, -.41458794, .25691202, .18601207, 0, 0, 0, -.35608789, .79691201, 0, 0, 1.548912, 0, 0, 0, 0, 0, 0, 0, 0, 1.1663117, 0, 0, -.009088, -.49578807, 0, 0, -.2677879, 0, -.25468799, .68631202, 0, 0, 0, -.36198804])\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# function to mess around with the data\n",
"\n",
"def load_data_cox(dta):\n",
" array = lambda x : np.array(dta[x], dtype=float)\n",
" t = array('t')\n",
" obs_t = array('obs_t')\n",
" pscenter = array('pscenter')\n",
" hhcenter = array('hhcenter')\n",
" ncomact = array('ncomact')\n",
" rleader = array('rleader')\n",
" dleader = array('dleader')\n",
" inter1 = array('inter1')\n",
" inter2 = array('inter2')\n",
" fail = array('FAIL')\n",
" return (t, obs_t, pscenter, hhcenter, ncomact,\n",
" rleader, dleader, inter1, inter2, fail)\n",
" \n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# model as written in gist https://gist.github.com/jseabold/bc205b3c06e466b6a2cb\n",
"\n",
"def cox_model(dta):\n",
" (t, obs_t, pscenter, hhcenter, ncomact, rleader,\n",
" dleader, inter1, inter2, fail) = load_data_cox(dta)\n",
" \n",
" T = len(t) - 1\n",
" nsubj = len(obs_t)\n",
" \n",
" # risk set equals one if obs_t >= t\n",
" Y = np.array([[int(obs >= time) for time in t] for obs in obs_t])\n",
" # counting process. jump = 1 if obs_t \\in [t[j], t[j+1])\n",
" dN = np.array([[Y[i,j]*int(t[j+1] >= obs_t[i])*fail[i] for i in\n",
" range(nsubj)] for j in range(T)])\n",
" \n",
" c = Gamma('c', .0001, .00001, value=.01)\n",
" r = Gamma('r', .001, .0001, value=.01)\n",
" dL0_star = r*np.array([t[j+1] - t[j] for j in range(T)])\n",
" mu = dL0_star * c # prior mean hazard\n",
" dL0 = Gamma('dL0', mu, c, value=np.ones(T))\n",
" \n",
" #beta = Normal('beta', np.zeros(7), np.ones(7)*.00001,\n",
" beta = Normal('beta', np.zeros(7),\n",
" np.ones(7)*.00001,\n",
" #value=np.array([6.78, .28, .37, 1.34, .77, .95, .55]))\n",
" value=np.array([-.36, -.26, -.29, -.22, -.61, -9.73, -.23]))\n",
" \n",
" @deterministic\n",
" def idt(b1=beta, dl0=dL0):\n",
" mu_ = [[Y[i,j] * np.exp(b1[0]*pscenter[i] + b1[1]*hhcenter[i] +\n",
" b1[2]*ncomact[i] + b1[3]*rleader[i] +\n",
" b1[4]*dleader[i] + b1[5]*inter1[i] +\n",
" b1[6]*inter2[i])*dl0[j] for i in range(nsubj)]\n",
" for j in range(T)] #intensity\n",
" return mu_\n",
" \n",
" dn_like = Poisson('dn_like', idt, value=dN, observed=True)\n",
" \n",
" return locals()\n",
" \n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = MCMC(cox_model(dta))\n",
"m.sample(100)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
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],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# faster version of model\n",
"\n",
"def cox_model(dta):\n",
" (t, obs_t, pscenter, hhcenter, ncomact, rleader,\n",
" dleader, inter1, inter2, fail) = load_data_cox(dta)\n",
" \n",
" T = len(t) - 1\n",
" nsubj = len(obs_t)\n",
" \n",
" # risk set equals one if obs_t >= t\n",
" Y = np.array([[int(obs >= time) for time in t] for obs in obs_t])\n",
" # counting process. jump = 1 if obs_t \\in [t[j], t[j+1])\n",
" dN = np.array([[Y[i,j]*int(t[j+1] >= obs_t[i])*fail[i] for i in\n",
" range(nsubj)] for j in range(T)])\n",
" \n",
" c = Gamma('c', .0001, .00001, value=.01)\n",
" r = Gamma('r', .001, .0001, value=.01)\n",
" dL0_star = r*np.array([t[j+1] - t[j] for j in range(T)])\n",
" mu = dL0_star * c # prior mean hazard\n",
" dL0 = Gamma('dL0', mu, c, value=np.ones(T))\n",
" \n",
" #beta = Normal('beta', np.zeros(7), np.ones(7)*.00001,\n",
" beta = Normal('beta', np.zeros(7),\n",
" np.ones(7)*.00001,\n",
" #value=np.array([6.78, .28, .37, 1.34, .77, .95, .55]))\n",
" value=np.array([-.36, -.26, -.29, -.22, -.61, -9.73, -.23]))\n",
" \n",
" X = np.array([pscenter, hhcenter, ncomact, rleader, dleader, inter1, inter2]).T\n",
" @deterministic\n",
" def idt(beta=beta, dL0=dL0):\n",
" intensity = np.exp(np.dot(X, beta))\n",
" return np.transpose(Y[:,:T] * np.outer(intensity, dL0))\n",
" \n",
" dn_like = Poisson('dn_like', idt, value=dN, observed=True)\n",
" \n",
" return locals()\n",
" \n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = MCMC(cox_model(dta))\n",
"m.sample(50000, thin=50)\n",
"\n",
"plt.plot(m.beta.trace());"
],
"language": "python",
"metadata": {},
"outputs": [
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"text": [
"\r",
" [-----------------96%---------------- ] 48063 of 50000 complete in 127.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------96%---------------- ] 48251 of 50000 complete in 127.9 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------96%---------------- ] 48424 of 50000 complete in 128.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%---------------- ] 48596 of 50000 complete in 128.9 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%----------------- ] 48779 of 50000 complete in 129.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%----------------- ] 48953 of 50000 complete in 129.9 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 49110 of 50000 complete in 130.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 49287 of 50000 complete in 130.9 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 49469 of 50000 complete in 131.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49647 of 50000 complete in 131.9 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49809 of 50000 complete in 132.4 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49993 of 50000 complete in 132.9 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 50000 of 50000 complete in 132.9 sec"
]
},
{
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U3zjlkYfS0edLKJLG021nVoxtDLKsRm67fCbVZdlpAXPB1GNKGYNzaWWwKD+b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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f91efba0c50>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# m = MCMC(cox_model(dta))\n",
"# m.use_step_method(pm.AdaptiveMetropolis, m.beta)\n",
"# m.sample(10000, thin=10)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# plt.plot(m.beta.trace());"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vars = cox_model(dta)\n",
"pm.MAP(vars).fit(method='fmin_powell')\n",
"m = pm.MCMC(vars)\n",
"m.use_step_method(pm.AdaptiveMetropolis, m.beta)\n",
"m.sample(iter=50000, burn=25000, thin=25)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\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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"\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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{
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{
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{
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" [-----------------95%---------------- ] 47593 of 50000 complete in 158.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------95%---------------- ] 47741 of 50000 complete in 158.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------95%---------------- ] 47889 of 50000 complete in 159.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------96%---------------- ] 48037 of 50000 complete in 159.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------96%---------------- ] 48185 of 50000 complete in 160.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------96%---------------- ] 48333 of 50000 complete in 160.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------96%---------------- ] 48481 of 50000 complete in 161.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%---------------- ] 48630 of 50000 complete in 161.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%----------------- ] 48778 of 50000 complete in 162.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%----------------- ] 48927 of 50000 complete in 162.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 49075 of 50000 complete in 163.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 49224 of 50000 complete in 163.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------98%----------------- ] 49375 of 50000 complete in 164.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49527 of 50000 complete in 164.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49675 of 50000 complete in 165.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49825 of 50000 complete in 165.6 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 49973 of 50000 complete in 166.1 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 50000 of 50000 complete in 166.2 sec"
]
}
],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(m.beta.trace());"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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/uXUFFHKZoFC/5swSUYF7wYqCgGvU8aFsqBTS+6Qg068oRVIbZru+MkFiVUWW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\n6BswYMDADML/B16+Vzstgb/eAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f91f0a69210>"
]
}
],
"prompt_number": 32
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m.beta.summary()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"beta:\n",
" \n",
"\tMean SD MC Error 95% HPD interval\n",
"\t------------------------------------------------------------------\n",
"\t3.435 0.816 0.03 [ 1.871 4.997]\n",
"\t-0.033 0.064 0.002 [-0.158 0.091]\n",
"\t-0.035 0.073 0.004 [-0.166 0.116]\n",
"\t0.334 0.171 0.007 [ 0.009 0.68 ]\n",
"\t0.059 0.169 0.007 [-0.274 0.386]\n",
"\t-3.961 1.283 0.053 [-6.631 -1.724]\n",
"\t0.126 0.086 0.003 [-0.039 0.289]\n",
"\t\n",
"\t\n",
"\tPosterior quantiles:\n",
"\t\n",
"\t2.5 25 50 75 97.5\n",
"\t |---------------|===============|===============|---------------|\n",
"\t1.881 2.912 3.436 3.978 5.058\n",
"\t-0.156 -0.076 -0.037 0.011 0.096\n",
"\t-0.169 -0.084 -0.035 0.014 0.114\n",
"\t-0.02 0.223 0.335 0.45 0.676\n",
"\t-0.289 -0.05 0.066 0.174 0.378\n",
"\t-6.385 -4.822 -3.932 -3.083 -1.46\n",
"\t-0.035 0.066 0.126 0.18 0.297\n",
"\t\n"
]
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pm.Matplot.plot(m)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting r\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" c\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_0\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_1\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_2\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_3\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_4\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_5\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" beta_6\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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DBaK51YRfyu0n+44QbFwdYhDJzGAVWyoHS8/FNsvNBb1AXkru9C+3Py6UN7m5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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f91f0a69210>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qhpWG14t4q0sZmvIjCIIQw2+C6qusC7bP+cVVLlLac7WwEvtPSPdlOnKuYW80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\nIvIREyoiIiIiH/1/kh79ITXaKHoAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f91f09e6610>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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7utTvGzasJTy8B5MnP8+pU3/x0kuTKjyvp6c3ycnJlt9TUlLw9Cx/7jelUgGA\nTCbFaDSW2T9z5mxiY0/zxx+/MX7803z66ZdW1U0Q7lY2TaT27dvH0aNHmTFjRq3OM3z4Qwwf/lCZ\n7UOHPsDQoQ+U2jZixBOMGPFEqWOrMmrUaEaNGl3uPolEwrJlKy2/R0Z+Yfm5R49efPnlN2WOmTHj\ntVK/u7m58cEHK8uUEwSh7vTs2dOSRO3du5eBAwdWWNZoNBIZGVlmtK81rS7u7o5WrbWnUMj4/fe9\nDB16P0ePHsXNzZWWLf24//4B/Pjjf5g7dy5QPEinXbt2+Pp6EBurt7TcGQxagoNL6rMLqVRSYave\n3/8+nBkzZjB16iSSk5O5cSORAQN6lWmVkkoleHg44+bmQlKSIwqFDC8vF1xcVKjVSry8XLh69SoD\nBvRmwIDeHD0ajV6fh5+fJ2fP6ktd314fOYu4Knfn+nM1iauma7pWJDk1hS3fba+yXJC/N4889Der\nz9vo1tpLS0tDq9Xi4mIfLxaAq1evsHTp4lLb5s1bhKenVwNFJAhCXTly5AiDBhU/tjp69GilidTK\nlSsxGo34+fmxdu1aXF1d6dmzp03X2tPrjZhMEh5++O+WzuapqbmMHPk0K1cu44EHHrzZFSCA995b\nTqtW7Vmz5hMeeuhhxowZx4gRo3nnnXl88skn9OjRG5Op4i4Rrq4+9O8/iGHDhiOTyZg2bRZpaXll\nyplMkJ6eh14vIyurEIPBRGpqLnl5WoqKitc7W7RoMYmJCZjNZsLDe+LhEYBC4WKJraSzuT0+crbX\nR+H2FJct1tozmkzYcoXNTFVXdp+rupz/+TP0ubfstB4Vqa+19iTmWjz4vr2jeUhICDKZjOjoaD74\n4AOcna1bjFYQBMEWXnvtNR59tHiV+e3bt/Puu+/WyXXq+wPRnj6ES9hjTCDiqq6axjVmxgrrpj+4\n6YcPi/9fPvTKf6t9rdv5yy6x6NXxtTpHTdXZosW3dzQvodPprEqi7PFFVRP2+h+kuppKPUDUxV7V\n9aONN998kx07dmA2m5kzZ06dXksQBKGETftIAUycONHWpxQEQajS9evXycvLQ6fT8fnnn9d6UmB7\ndOjQH6xd+3Gpbf7+AbzzztIGikhobMQ8UrZns0RKq9USGRmJh4cHTz31lK1OKwiCYJVNmzYxbty4\naq272djce29v7r23d0OHITRid0MCVaLRzCNV4uDBg5hMJmQyW3ZBEwRBsE7r1q1p06ZNQ4chCMJd\nplaJ1O3db8SlAAAgAElEQVSdzVu1akX37t25dOkSGRkZNGvWzCYBCoIgWOPQoUMcPnzYsizUypVi\nChJBEOqezTqb5+TkEBkZidlsxs3Nrcpj7WVODVtoKnVpKvUAUZe70YcffsiFCxfo1KkTSUlJDR2O\nINgl0UfK9mz2aE+j0VRrIs6mNBKpKdSlqdQDRF3sVV0nhO+++y4KhYJOnTqxdu1a3n777Tq9niA0\nRndDAlWi0fWREgRBaEiOjo5oNBoAVCpVpWUPHz7Mli1beOCBBzh9+jS9evUiLCzM5mvtCYLQ9Nl2\nnndBEIQG4u7uzvHjx1myZEmFC/aW6NmzJ2FhYTg6OiKXy9FqtZa19ry9vcnOzq6nqAVBaOwarEWq\nKfX7aCp1aSr1AFGXu9GUKVO4cOECZrOZkJAQq47p06cPffr04ZNPPiEkJMSma+3Zkj2+BuwxJhBx\nVcUe19qzllKpqFa8jW6tPUEQhIb0yivF/SGKiooAWLNmTYVl4+LiOHbsGGvWrEEikaDRaOjRo4dN\n19qzFXvsJ2ePMYGIyxr2uNaetXQ6fbXira+19kQiJQhCk/Dhh8UjdMxmM5s2baq0bFhYGGvXri2z\nffr06XURmiAITZhIpARBaBLi4+ORSCQYDAbi4+MbOhxBEO4SIpESBKFJ2LVrFwBKpZJnnnmmgaMR\nBPtU0dxKBQUF/Gvr98hkVacF5kaSOtjNPFKzZ89m3759eHh4sGPHjnLLLFq0iP3796NSqViyZAnt\n2rWzeaCCIAiV6dChg+XnpKQkkpKSGDhwYMMFJAh2qKKkIj09jT2ni3DyaFHlORy8PGwdVp2or3mk\nqux6P2LECDZs2FDh/n379nHlyhV2797NwoULxSR4giA0iK1bt3LhwgUuXrzI1q1byczMbOiQBEG4\nC1TZIhUeHk5iYmKF+6OiovjHP/4BQOfOncnJySEtLQ1PT89yyx85coSuXbvV+8iXuuLu7tgk6tJU\n6gGiLvbqyy8jcXBwYPLkySxfvhyJRML06dOR2mgodXBwMOPHjwcgIyPD8r4kCIJQl2r9oDMlJQVf\nX1/L776+viQlJVWYSMXExNCjR4/aXtZu1Pd8MnWlqdQDRF3s1ciRI4mOjiYuLo6+ffsCxdMQ2LIr\nwJw5c5BIJBW+/wjC3U6stWd7NukxduckdpXNKlzVjMOCIAg1MX36dJKSktBoNCiVyoYORxDs0t2Q\nQJVoNGvteXt7l1ppPSkpCR8fnwrLd+nShZYtW3L58uXaXtpu2MuMtbXVVOoBoi72aPnyDahUKsLC\nwvjoo4+QSCT885//tNn5Fy9eTEFBAYsXL2bu3LksXLiwwrKHDh3i3//+Ny+//DI7duxAo9HwyCOP\niLX2BEGotioTqf379zN//nySk5NZv349EydOLLW/Z8+eLFy4kPXr15OXl1dls3p4eDhgm5lG7YE9\nzVhbG02lHiDqYq9un+yyZBZyW5JIJPj7+wPg4lJ58nnvvfdy4sQJ9u7dy5QpU9i4caNlrb3o6Giy\ns7Mrnd1cEAShRKWJlNFo5J///CdqtRqz2cxHH32E0WjE3d0dgCeffJJLly7h5+dHXl4eKpWKpKQk\nDAYDcnnjmGdCEISmQalUcuHCBb788ktycnKsPu72rgnWrLUnCI2Z6CNle5VmOydPnqRbt258+umn\nAKxfvx4oTqBKeHl50aVLF+bNm0dCQgLPP/+8SKIEQahXZrOZoUOHWqY8GD16dKXlS9ba69OnD+vW\nrcPV1ZWePXtatdaeWLS4mD3GBCKuqty5gG9JXAUFzg0RTrVUd9Hiul6suESlGU9ycjJ+fn6W3318\nfDh58mSpMqNGjWLs2LH069eP/Px8VqxYUTeRCoIgVEAikXDo0CEmTJhgVfnarLUnFi22z5hAxFVd\nt8eVnp7XwNFUrbqLFttSjRcttmaE3dq1awkLC+PLL7/k6tWrjBs3ju+//x5nZ/vPbgVBaBr27NlD\nVFQUBw8etLQmrVy5soGjEgThblBpIuXj48ONGzcsv5c3Iu/48eNMnjwZgKCgIAIDA7l06RIdO3as\n9ML20sxpC02lLk2lHiDqcrc5cOAAW7ZsYd68ecyfP7+hwxEEu9WY+0hdyVQw5pXlVZZTmTLYsGKh\nffSR6tChA+fOnWPw4MFIpVIKCwv5/PPPS5UJDg5m69atLFy4kKKiIhITE2nevHmVF7bHZs6asNcm\n2+pqKvUAURd7VZcJ4Y0bN9i7dy83btxg3759AAwYMKDOricIjVVjTKBKKDSBoAmsspy6MA6wk7X2\nbn+0d/toli1btrBlyxYA/u///o9du3ah0+lQKBS88cYbuLm51VG4giAIZQ0bNozMzEyGDx9ORkYG\nGRkZDR2SIAh3iSpH7YWGhpYatRcVFVVqLqkDBw7w7LPP2nRiPUEQhOp47LHHGjoEQRDuUpW2SJU3\nai85OblUmStXrpCdnc3TTz/NY489xn//+9+6iVQQBEEQhFpZs+ZDS9+hpq6+6lrrUXsGg4HY2Fg2\nbdpEYWEhTz75pGUZGEEQBEEQ7Edj7iNVXXax1p41o/Z8fX1xd3dHpVKhUqkIDw8nLi6uykSqKY1E\naip1aSr1AFEXwXqbNm0CoFu3buzbtw+NRsPYsWMbNihBsJGExER+3HMQaTkNI45ODhTkawHIyclG\nInOq7/CahFqP2hs8eDALFy7k+PHjjB49Gh8fH8aNG1flhZvSSKSmUJemUg8QdbFX9poQurm5kZKS\nQnR0tGXdPUFoKk7HnuP3qy7IleoqSnrhKMaJ1UitR+21atWKvn37Mm7cONRqNX369CEkJKRWQe3c\nuYNvv/3GqrI//fQDBoOhWuf/5puvmTJlPK+//goFBfk1CVEQhCbi0UcfZeLEidV+HxGExihcE0O4\nJqahw6gXdtFHyppRewAKhYJXX32V06dP22TuFmv6ZpXYuXMHAwcOtnp9v6ysLH777QCffPIpu3f/\nj2+/3crTTz9bw0grZjabLfUwmUxIpZXmrIIgNJB9+/Zx6tQpoHilhsrW2QOx1l4Je4wJRFx30mhU\nQJHl96M5XRokjvokl8vw8nJpPGvtJScnExUVxRdffMGcOXOqlQRV5ujRw0RH/0ZBQQHz5y/G09OL\nnTt38OOP2zGZjEyY8AJKpZL4+L+YOfNl+vcfSHBwCJ9//ilabREDBgxizJhny5z37NkzdO3aDYBe\nvXqzaNHbpfabzWamT38Rg8GAQqHgnXfex9HRiR9/3M727d+hVCoZO3Y8bdu2Y8GCuej1Wlxc3Jg7\ndwEnT8awZcu/kMvl9O17H99++286d+5GdnYWb7210Cb3RRAE2xowYEC1vgCKtfbsMyYQcZUnJ6eo\n6kJNjMFgtPn9rtO19t555x1mzpyJRCLBbDaXegRYU2azGbVazVtvfcChQ3/w1Vef89xzE4iK+pnV\nqyMpLCxk1qxpfPzxOlq3bsPSpR+hUqnQaotYtWo9JpOJSZOeZdSo0SiVylLnzsvLxdGxuEOdo6MT\nubnZZer83nsf4uCg4ptvNhMV9TP9+g1gx47/snp1JHK5HLPZzNdff0WfPvfx/PNjWbp0OXv27MLH\nx5eCgnxWrVoPwKZNn/L4408QEFD1TKyCIAiCIDQ+tR61d+bMGcuK6ZmZmezfvx+5XM7gwYMrvXBl\n2Z1Go6Zbt854ebnQt28Pvv9+K/n5GVy9eolXXnkBgPz8XLy8XFAoZHh6OqNWqzl69ByrV6/GYDCQ\nnJyEVKrDy8uj1LkDArzJzEzBy8uFzMxMPD09SsWSn5/PkiVLSElJISsri6FDh1JUlEWXLp3w83O3\nlMvISOZvf3sCgF69wjl27BihocF07drZcr5mzdzo0qVtpffBnthrk3hNiLoIgiCUVdI/6m54xGc3\na+1duXKF//znP6xbt45r167xf//3f6XKREVFsX37djZs2EBubi4ajYaAgIAqL1xZs1tOTiHHj5/g\noYdyOXToCN7e/jg6unPPPa14//0VQPH8VampuZjNEpKTs3ByMrBmzVr++c9Z+Pn5M378GNLS8pDL\nS1/H3z+Y9es3MGrUM+zevYfQ0PalYtm37xc8PHx4/fW32bLlK/LzC3B0dOfEiZPcuJGJXC7HZDLh\n4eHLb78dol27dkRHH8XPz5+srAKKigyW8xmNZrtsZi6PvTaJ14Soi30SCaEgNLy7IYEy6PXExcUx\naNADAMTFxZVbTi6X13pwHFSRSMnlct544w2mTp2Kt7c3L7zwArt27eLjjz/Gy8uLJ598EoDmzZvz\nr3/9i8WLF+Pj48Nbb73FN99YN+quPBKJBL3ewIwZL1NUVMjbb7+Dq6sbgwcPYerUiUilUoKDQ5g2\nbSb9+vVn7tzZDBw4iIEDBzNnzkyCg0NwcnIu99xubm706dOPKVPGo9FomDdvUan97dt35IsvNhIf\nfw5392b4+vrh6urGQw89ypQp41Gr1TzzzHP8/e+PMn/+XPbv/wUXF1fGjHmWU6dOcPvTUBt1FxME\nQRAEwUp5Dq2Yt/HPKssZs86xbd2CWl9PYq6iU9Px48dZtWpVqZF7QJmReyWys7N5+OGH2b9/f4Xn\nbNmyJUeOnKppzHalqbQYNJV6gKiLvWoqLVL1/fewx9eAPcYEIq7y/LQ7iq+ji6yYR6ru/PDhowA8\n9Ip9LSFnSDvFFx9Yt05wjTubg3Uj9263bds2m0yBYAtXr15h6dLFpbbNm7cIT0+vBopIEARBEBrO\n3dRHqr7qWmUiVZ3pDKKjo/n222/5+uuvqyxbH99Ovbw6sGXL5nq4TtP4pt1U6gGiLoIgCOW5GxKo\nEvVV1yoTKWtG7kFxZ665c+eyYcOGKie0A7FEjL1pKvUAURd71RgSwiNHjnD8+HE8PDwYMWJEQ4cj\nCBX6fudu9h29WGW5vPw8pJpO9RBR42OWO/LBJ19VWU5XlM/yxTMr3F9lIpWZmUl0dDSDBg1i5MiR\n/O9//+PDD0tPuT579my2b9+Ov78/+fnWLbnSvXsHAP7887RV5QVBEOpaTEwMEydOJDIysqFDEe5S\nBQUF5OZW/eXpakIiWco2VZ9QWcVacHcxhVsrYrOrLleQcanS/ZUmUkajkcWLF7NgwQLWr1/P6tWr\nGT16NK1atbKstefn58fvv/+Os7MzUqmUp556itatW7Nt2zbrayMIdUgk7YK1bLUygyDU1JoNX3Dw\n6Jkqy0llCty886p9/vAWxWtKHr0iRy6TYjCaqn2OGsu07j3YVnHdXtdayUmpdHeVa+0FBQUxYsQI\nRowYYRmxB1imPnjrrbd47bXXeOCB4vkahg0bxtq1a2sXdBMgPrztU3l/l7v5b3U31708Xbp0ITIy\nEk9PzwrLNMQjSnt8LGqPMUHjj+u9ha/WcSQN4LM3GjqCOlXrtfZSUlLw9fW1/O7r60tSUlKlb0SJ\niQeB4lkXund34vr1awD4+weU+rlEedtqw5bnk0rBZHIq5xoHgeL6WXtda/eXqCr+6tSzonrUNWtj\nrEldbt2vW3+Lkr+Ln1+W5XzlbbMXFb++bPVaqvx1Wt5rrqb/R69erXCX3QgPDyc8PLyhwxAEoRGp\n9Vp7QJn19ao6LjAw8I7fm5f7853bEhMTLcff/vOdqipX3jXKO/72eK3dVt41bsVQ3jbr46psf/l1\nrvx61a1nde6DtdvKq5O15WpyjLXbrLlWRa+vyl6b1uy3plxtXitV7bf2/2NV28reJ7HmpCAITU+t\n19rz9vYmKSmp0jJ3uny5pqP2SkYD5t7xc03LVX6dksceR46cpnv3vqVKHDlyGnC9Y1RVRdcoL4aa\nxFWZqupc2bbbR4eVrfvtx1Z0H+48pqTcrUdGueVuq7wuJay5R+XVpW6U1OPOe1P+/qqOr/w6Uqmk\nEU9ee+fr5kpDBiMIglAnrFprLzExEW9vb3bu3FlmxN7gwYP56quvePDBB4mJiUGj0VT6WK8xub3f\nyN3Wh6Sq+pa3v6r71VTuYU3uTU2v01SmP2gqf3tBEIQ7VblEzL59+1i8eDEmk4nHH3+cSZMmWUbs\nlXQ4X7BgAQcOHECtVvPuu+/Svn37uo9cEARBEAShgVWZSAmCIAiCIAjlq+XkCoIgCEJd0Wq1REZG\n4uHhwVNPPdXQ4ZSyb98+jh49yowZMxo6FIvY2FgOHjyITqdj6tSpDR0OYL+z5e/Zs4e4uDhatmzJ\nQw891NDhlLJ+/XoCAwMt0yrZOzHhqSAIgp06ePAgJpMJmUzW0KGUkpaWhlarxcXFvuZsateuHRMn\nTkSv1zd0KBYls+VnZGQ0dCilREREMG7cuFIDyuzB4cOHadPGihnb7YhokRIEQbAje/bsISoqCoBW\nrVrRvXt3Ll26REZGBs2aNbOLuEJCQpDJZBw7doy8vDycnZ3tIq5u3bphNBoZPnx4g8VzJ3udLd9o\nNLJhwwbGjx/f0KGUEhsbS05ODjk5OY2mRcqmiVR8fDy//PILoaGhDBw40JanFgRBuCtEREQQEREB\nQE5ODpGRkZjNZtzc3OwmrhI6na5BkygoHdeBAwfYunUrCoWCsLCwBo2rhDWz5TeElStXYjQaiYmJ\noV+/fg0djsWzzz7LtWvXOHHiREOHYjWbdjZfvXo1rq6uBAYGikRKEARBEIQmz6YtUtnZ2Tz//POs\nW7eu0kTKYDCSmVlgy0s3GHd3xyZRl6ZSDxB1sVf2tAba7R1tz58/T69evQgLC+Ozzz7DwcGBF198\nsaFDFAShkbBpZ/Nhw4axadMmNBpNufv379/PsGHDkMvtq+NkbTSVujSVeoCoi73Kycmx/Lxu3TqG\nDBnCsGHDOHjwYL3HcntHW4VCgVar5fDhw4wcORJvb2+ys7PrPSZBEBonm7ZIdevWjW7dupW7z2g0\nsnDhQjZu3GjLSwqC0EisX7+emTNncv78eXbu3MmPP/5IcnIy48aNY9euXUil9TeI+PaOts7Oznzy\nySeEhISUWTe0PAaDsUkluILtzZ8/H4C3334bKF6PtmTbvHnzGiosoY7YfNReRfM/nDx5kqCgoCoX\nahUEoWnas2cPM2fOJCoqigcffBCFQkFgYCBBQUGcPHmSLl261FssK1euxGAwsGnTJmQyGRqNhh49\nerBx40ZUKhWurneu93hLfT9qtcdlguwxJrCfuF544RXgViJ1+zZ7iK+EvdyvO9ljXJV1TbBpIlUy\n/0NBQdk3muTkZPz8/Gx5OUEQGpH09HQAUlJS6Ny5s2W7r68vycnJ9RrL9OnTq7VdEAShIjZtS4+N\njeXkyZMcO3aszD57nUtDEIT6Udl7gHh/EAShsbJpi1Rl8z/4+PiUmkHVnkbw1FZTqUtTqQeIutij\nkskkfXx8SEpKsmxPSkrCx8enocISBJtbs+bDCreVPOITmg6b95EKCAggICCgzPYOHTpw5coVEhMT\nCQwMtLvnnzVlj89ya6Kp1ANEXexVyaSJgwYNYsaMGTz77LMkJydz5coVOnXq1MDRCYLtVNZHSmh6\n6m2JGLlczty5cxk/fjy7du2qr8sKgmAnJk6cCBQvLzJ8+HAefPBBZDIZ8+bNE4/2BEFotGyeSFW2\novSAAQMYMGCArS8pCEIjcPv8cpMnT2by5MkNGI0gCIJt2DyRioiIoHfv3mzevNnWpxYEQRAEu3dn\nHymDwSD6SDVhNl1rD4onulu1apVlojtBEISmpL77rNljPzl7jAnsLy5v7+JW2H9v+577+9/fwNGU\nZW/3q4Q9xlVv80iB9StK29tNqil7/IPXRFOpB4i62KumMvpQEKrLpq0Vgt2xeSIlJrQTBEEQBOFu\nYdNE6siRIxw/fhwPDw9GjBhhy1MLgiAIQqMg5pG6u9g0kYqJiWHixIlERkZWWu7dzw+j1xlRKqSk\nZhYik0npHurFxes5nLyQzj1+GsKC3LiRXsDV5Fy8mzliMJhIzynC01WFSinHSSXnxIU0PF3VnL2S\nCUCnVh54u6txc3agSGfg7OVMPFxVmMzFi0b+eS4VgH4d/TCazBiMJv5KzMJTo6JQZ8THXc3FGzkU\n6Yy0a+GO2kFOSlYhV5NyUcil5BcZCPJxplMrT2RSCUaTmbirmZxPzKZXOx9Sswpxc3YgO1+Hj7sa\nvdGEyQyODnJSswrRGYzc29aHK8m5aPUmpBJwc3ZgX8x1fNzVXE3Js9yjXu190Dgq2X0kAZlUQpvm\nbuQU6AgJcEUqkYAEUjMLMQOt/DUkZRSQmlVIc28XFHIp2Xlagv1diYlP5a/EbHybOSKTSggNciM9\nu4j0nCJa+LhQpDMSdzUTFyclKoWMy0m59AjzJitPi5NKwYkLabg4KlErZTirFTTTqFA7yFDIZRz7\nKxUvVxUZuVoCvZyJOZ+Gl5sKT1c1Wr0RVyclbs4OKORSHBQyjsenkpiaj5NKTn6RAUcHOX6ejvh5\nOOEgl+HtrianQIdCLsVgNKPVGfn5aILlnni7qTGZzTg6yPF0U9PMxYH4xGyuJOfSMdgDJ7Wc6DPJ\nBAe4EhroitFkJitPy+GzKQAo5FLat2xGzPk02rV0x1mt4FxCFuGh3uQW6PjzXCo92/oQGuRGkdZA\ndoGOa6n5pGQWkl+kJ7dAzz1+GgxGEy6OCnQGEz5uahRyKZm5WhxVCjJzi1Ap5cjlUjrc04winZHv\nD16i/T3NcHSQ8dupJDoGe9CplQcnL6RzLiETF0clKZmFuLs4EBrkRvSZZLzcVGTn6dAZTAB4ualw\nUimQy6W0DXInr0jPhWvZKORSFDIpcVezLPepS4gnRToDjioFJy+k0cLHBZlUgq+HIyqlnISUPLR6\nI829i/swxl3JxGA00SHYA4PRRHp2EX6eTuTk6cgt0BF/LZsAT2fcXRzIztdSpDViMptp19KdlMxC\njCYzJrOZtKwiy+vey01N7OVM8gr13N81gNaBrjw80H4e7ZWMLpZIJJhMJjQaDY888gifffYZDg4O\nvPjiiw0dotCIiXmk7i427Wy+YcMGnn/+eSIjI5kwYUKF5R6e8b2tLikIQiOxY9kjDR1CKfn5+Wze\nvJlx48axceNGWrRoQdu2bYmOjmbIkCEVLlwsOpvbZ0xgf3GVdDbfsu17BonO5lazx7jqrbN5ly5d\niIyMxNPTs9JyK2cM5PyVDHR6IwVFBjJyizCZwGgykZCSx+XY3zDqtYT3G05zbxfSsgtxViuQSSXE\nXc3CQSEjyMeZkxfSMaWfpEuP/lxOKsBDo0KtkuGiVpKeU8TF6zl4uKrw0Kgs36bTs7Xs/89Sridc\nZMjjL9Khc090ehN6o4lgPw0XElJIvxbLow89SEZOEQVaAzHn0+gS4snlG7mk5RRxj68LapUcF7UC\nlVpJYlIOjio5qVlFKORSAjydUMqlZOfr0BtMKBVStDojF6/nEBLoSkaOltwCHTkFenq18+Hs1Uw8\nNSrcXByQAOcSsnBWK/DzcCSv0IDaQYZOX9wy4emqAiAjV4tEAtfT8jGb4Hp6PjkFOnqEeeOiVhB/\nLZusXC1ebmoCvZxRKKRk5+nwdlOjUsoo0hlJzS7EbC6+7w4OChyVMmRSCTKpBGe1gsTUPGIvZxLs\nr8FsBrlMgoNCRkaOlivJuTT3cSbYT8Nvp24wpEcQuYXF9U3PLsLVSYlMJsVZrcB0s2XoSnIuJpMZ\nJBIycooY1jMIhVxKToGOwiID19PzSc8uorm3Cy39XEjJLESllCGTSTl1IZ2M3CK6hHiiUsrJydch\nk0lo5lLcAiiTSmjpp+HPcynkFBoI8dfQzMUBF0clh84mo1LIMJnNqB3kOKkU+DZzJDNPy430fIwm\nM6lZhdzjq8Fd40BegR6t3ojDzWO83NQ4qxXsP3EdLzc1HhoVmblagnycae7tTEJKHrGXM8jJ12My\nm+nVzoddhxNwUEhp3dyNUxfTaR3oRlaulktJOfTv7I9SLkMuk+DuokJvMJKUUYDRZEapKN5uMJjI\nytchk8m4dC0Lb/fiv6PRZCYxNY+kjAJ8mznStbUXJpOZ7Hxd8evEYCInX0dSRgFuzg6olLLi16NC\nRkZOEWoHOZdv5JKcWUDHYA8clDIMRhOZuVo8XVU4q5VcT8vjWlo+Gicl3m5q4q5mEeTtTF6RHlcn\nJSqlnH/9/Bc923qjUha/Nv08HMkt0OPv5USR1silGzm4Oivxa+aIu0aFi6PClm81tWY0GomMjEQu\nL/0WaM33Snd3R+RyWV2FVi577KhvjzGBiKu6RFy1Z/PpD6xVWbb5008/UFBQwIgRo6o8z0svTeL9\n91egVqutvnZaWhrbt/+HsLB29OlTemThjRvXWb36IxYteq/UdpPJhFRado1ne8yca6Kp1ANEXeyV\nPb0xLl++HKPRSPPmzUlNTcXV1ZWHH36YjRs3olKpmDJlSoXHihYp+4wJ7Ceukv5QJY/2tmz7nrjT\nxwH7esRnL/frTvYYV721SMXGxnLw4EF0Oh1Tp06t1bmOHj1MdPRvFBQUMH/+Yjw9vdi5cwc//rgd\nk8nIhAkvoFQqiY//i5kzX6Z//4EEB4fw+eefotUWMWDAIMaMebbcc1fWYvbdd9uIiTnGyy9P5pVX\nXmPBgjfp3Lkb2dlZjBkzlg8/fB+DwUBoaBjTp8/CbDazbNl7XLx4HplMxoIFS8jPz2PZsvfQ63W0\naRPKSy/Zz38cQRAqHl0sRh0LtiD6SN1dbJpItWvXjnbt2rF8+fJancdsNqNWq3nrrQ84dOgPvvrq\nc557bgJRUT+zenUkhYWFzJo1jY8/Xkfr1m1YuvQjVCoVWm0Rq1atx2QyMWnSs4waNRqlUlmtaz/2\n2EiuX79maZHKzc3j8cefICAgEK1Wy6pV6wGYPXsGiYkJnDx5A5lMyurVkZbYly1bwsyZr+PvH8AH\nHywhLu4sYWFta3VPBEEQBEGwP7VOpPbs2UNUVBQA3bp1w2g0Mnz48FqdUyKR0KZNKABhYW3ZuvVr\nrl1L5NKlC7z00iQAsrOzyhwXF3eWjRsjMRgM3Lhxg8zMDHx8fKt17TufdLq4uBAQEAjA9evXWL16\nBY+6RAQAACAASURBVEVFRVy/fo20tFQuX75Ily7dSsV+9eoV3n13AQCFhYX06tUbEImUINxNpk6d\nyNSp063+EhUf/xdpaan07t232tfKycnmjTdmERd3lgceeIjp02eVW+7xxx/ms8++QqMp3ZH+4MH9\nXL58scJW/NrEJghNXa0TqYiICCIiIgA4cOAAW7duRaFQEBYWVulxlT1vdHZ24NSpi3h5uRAXF0Pr\n1q3o2DGUdu3asm7dOqB47SK5XI6jowp3dzXOzs5s27aZJUsWExAQwGOPPUazZk4VXsfRUYmrq7rM\nfpPJDYVCatmuVMotP69bt4PJkyfSu3dvpkyZgqurmlatWvH7778zcuSjN4830bp1K1577TX8/f2B\n4o6tMln9dk6tCXvqw1Jboi5CQ5NIJNUqHx9/jnPnztYoWVEqHZgwYQoXL17g0qULlcZUXrfYfv36\n069f/zqJ7W505zxSW76Lsss+UoJt2PTR3n333cd9991nVdnKOpLl5WnJyyvkmWfGUVRUyNtvv4PB\nIOe++wbxxBNPIZVKCQ4OYdq0mfTs2YcpU6YycOAg+vQZwKRJkwkODsHBQU16ej4KRdnrLF48n5iY\nY+zatZuYmNP83/+NteyTSNTk5OQzefKLTJr0IkajyRJrt273Mn/+Alq0aIleryc7u5C//W0Qu3f/\nwsiRTyCXy1mwYAnPPTeF2bPfQKfTIZVKmT37rWq3jNU3e+zcV1OiLvaprhPCWbNm8eCDDzJgwIA6\nvU517Nq1k/feW4jRaGT27Ldo27Y9hYWFLF/+PpcuXcRoNPDccxPp1asvGzasRafTcfJkDGPGjMPf\n35+PPlqGyWRAJpMze/Y8goJalHsdlUpFp05dSExMKHf/7bZt+ze//XYAo9HAwoVLCApqyc6dOzh3\n7izTp8/il1/2sGlTJFKpDGdnZ1asWFMqtqeffo4nnviHrW9Vk3JnH6kCeQDPPPO0WH+2ibLLUXuN\nSVP5oGsq9QBRF3tV14mUTqdj586d7N27l65duzJy5EgcHR1tfh1r/x4vvTSJ5s2DmDXrDU6cOM6y\nZUv44ot/s27dau65J5ghQ4aTm5vLxIlj2bhxM7/+uodz584ybdqrABQU5OPgoMLX142dO/fw/fff\nsmjR+5Ve86effiAuLrbCR3sjR/6dJ58cw4gRo/juu2389Vccr732Jjt37uCvv+KYNu1Vxo59kmXL\nVuHp6Ul+fh5OTs789NMPpWKz19elvcVVMo/UkLHvsXae/SVS9na/SthjXPU2am/fvn0cPXqUGTNm\n2PK0NXb16hWWLl1catu8eYvw9PRqoIgEQagrmZmZJCQk4OLigqenJ3PmzGHFihUNGlNExFAAOnfu\nSn5+Pnl5eRw+HM1vv+3n66+/BECv15OcnITZbC712C03N5eFC+eRnHwdo9GEwWCwSUwDBgwCoE2b\nMPbt+8WyveTaHTt25p135jFo0N8YMOB+y74G+s4tCHbPZolUWloaWq0WFxf76c/x/+zdeUDUdf74\n8eecDNcAcqOSq6hkpoZHpW666m73sZmt2aVraZodHtVqKalJbYeWVyqaWm3rL3Mr3dxspa+otV6J\nWhleeaECKvc1MMfvD2JkZBgQBubj8Hr8I3zO1+sz4/Cez+f1fr9jY69hwYKlng5DCNEMVq5cyYgR\nI4iNjQUgKkp5j9OryqbmzHmLtm1jHdYdPPiTw+/Lly+hV6/ePPXUE/z442F7R5vG0usrB0fVaNRY\nLJYa66dMmcrBgz/xv/99x+jRj7JixUduOW9L4myuvQ8/rOzxLTVS3qdRDanqPfbi4uLQaDTs3buX\noqKiOm9helMBrbfk4i15gOTSEvXp08feiNqyZQsDBw70aDw2m41vv/0vCQm92L9/HwEBgfj7B9Cn\nz0189tka++O3w4fT6dQpHj8/P0pKSuz7FxcX2++ef/XV+nqfs7HOnMmgS5eudOnSlR07viM7Oxt/\nf3+H2IRrzsaReuyxMYp7tCfco1ENqeo99qqUl5fX682itOefDaXEZ7kN4S15gOSiVE3dINy9ezeD\nBlU+ttqzZ4/HG1IqlQq9Xs9f//qwvdgcYOTIJ5g//x0ef3w4VquVmJjW/P3v87jhhl58/PEqRo0a\nwSOPjGLEiMeYMyeRf/xjFb173wy47gX4wAN3U1JSQkVFBdu2pTJv3iKuuabd5VE5/FzVs1CluvTz\n4sXvkZFxGpvNRq9efYiL60hERKQ9Nik2F8KRFJs3krf8ofOWPEByUaqmbki99NJL3Hdf5TAk69ev\n5/XXX6912127drFmzRruuOMOfvrpJ2666Sbi4+P54IMP8PHx4emnn651X5kiRpkxgfLikmLzhlFi\nXM1SbG4ymUhOTiY0NJSHHnrIXYcVQoh6eeWVV9iwYQM2m41p06a53LZPnz7s27cPPz8/tFotJpOJ\nXbt2MWzYMHbs2EF+fj5BQUEujyFEbaRGqmVxW0Nq+/btWK3Wq2LgSSGE9zl79ixFRUWUl5ezevXq\nes332bdvX/r27cv7779PXFxcvWqMQkL80Gqb93Ou6tvwtm3beOeddxzWtW3blgULFjRrPNVjUhol\nxJWYmMgvh4441EhNnjxZcXekQBnXyxmlxuWM24rNO3ToQM+ePTl+/Dg5OTm0atXK5b5X00Wqi7fk\n4i15gOTSEq1atYpRo0ah1db9sZaens7evXtZvHgxKpUKo9FI7969WblyJQaDweXdqNzc5i26rv6Y\nIz6+B8nJNXvRyePGSkqK6z/ffOfw+/nzhZSWKmsICSVdr+qUGFeTPdqrXmxeUFBAcnIyNpuN4ODg\nOvdV2kVqKCW+4A3hLXmA5KJUTd0g7NixI506darXtvHx8SxZsqTG8okTJ7o7LCGEl3Pboz2j0aiY\ngTiFEC3Pzp072bVrF3q9HoD58+d7OCLRUkmNVMvi1pHNhRDCU+bOncuxY8fo1q0bmZmZng5HtGDj\nx0/iozXrHJbJOFLey2MNKW+q+/CWXLwlD5BcWqLXX38dnU5Ht27dWLJkiUOhrxBCNBW5IyWE8Ap+\nfn4YjZXj9hgMBg9HI4RoKaQhJYTwCiEhIezZs4c33njDPkq3EJ4gNVItizSkhBBeYdy4cRw7dgyb\nzUZcXJynwxEtmNRItSzSkBJCeIVJkyq/6ZeVlQGwePFiT4YjhGgh6mxITZ06ldTUVEJDQ9mwYYPT\nbV577TW2bt2KwWDgjTfeoEuXLm4PVAghXJk7t/Jxis1mY9WqVZ4NRgjRYqjr2mDo0KEsX7681vWp\nqamcPHmSb775htmzZ0tPGSGERxw5coSjR49y6NAhjhw54ulwRAu2ePFcCnNOOiz78MNlTmunxNWv\nzjtSvXr1IiMjo9b1KSkp/PnPfwage/fuFBQUcOHCBcLCwpxuv3v3bm64IaHZp1loKiEhfl6Ri7fk\nAZKLUn30UTI+Pj489dRTzJs3D5VKxcSJE1Gr6/w+Vy+bNm0CQK/X89hjj7nlmEI0hNRItSyN/gTL\nzs4mKirK/ntUVJTLwfD27dvX7BN+NiVvycVb8gDJRamGDRtGREQE6enp9OvXj759+5Kenu6243ft\n2pWuXbvSqVMnMjMz2bJlS63b7ty5k0mTJnHixAkWLFjA6tWrycvLY+7cuSxatMhtMQkhvJ9bvgpe\nPmO6q67H0i1ZCNEU1q5dy7Fjx/j1119Zu3Ytubm5tW574403Eh8fz5YtWxg3bhzl5eXs2rXL3tjL\nz89vxsiFEFezRvfai4iIcLgDlZmZSWRkZK3b9+jRg3bt2nHixInGnloxvGXkaW/JAyQXJZo3bzkG\ng4H4+Hjee+89VCoVzz33nNuO3759e0aPHg1ATk6OveSgLtW/CF7+pdCZkBC/Zr9TqMT3gBJjAmXE\nNXPmzBrLqsaRSkxMbO5wXFLC9XJGqXE5U2dDauvWrcycOZOsrCyWLVvGmDFjHNb36dOH2bNns2zZ\nMoqKilCpVLXWR0FlzRXgVTPae0Mu3pIHSC5KNXHiRPvPVUMVuNu0adPq/AwCSE9PZ+/evfTt25el\nS5cSFBREnz59WLlyJQaDgaCgoFr3be6aNSW+B5QYEygnLlc1UkqIr4pSrtfllBiXq4ady4aUxWLh\nueeew9fXF5vNxnvvvYfFYiEkJASA4cOHc/z4caKjoykqKsJgMJCZmYnZbEarlSGqhBDNZ+LEiWRm\nZmI0GtHr9S63jY+PZ8mSJU6PIYQQV8JljdSBAwdISEjg+++/5+eff+a5555Do9EwfPhwhg8fDkB4\neDg9evTgv//9L0uWLCEsLEwaUUKIZpeUlMTChQsJCAhg9uzZng5HCDu1fzQvzZrn6TBEE3HZkMrK\nyiI6Otr+e2RkJFlZWQ7bPPjggxw9epT+/ftzzz33MG3atKaJVAghXFCpVMTExAAQGHj11FcI73P5\nOFJag5Hr2vnLOFJeymVDqj497JYsWUJ8fDzbt2/nyy+/ZNasWRQVFbktQCGEqA+9Xs+xY8f46KOP\nKCgo8HQ4ogUbP34Sga2ucVh2KNtXJiz2Ui6fwUVGRnLu3Dn778565KWlpfHUU08BEBsbS5s2bTh+\n/DjXX3+9yxNfTRX5dfGWXLwlD5BcWhqbzcatt95qH/JgxIgRHo5ICNFSuGxIde3alUOHDjF48GDU\najWlpaWsXr3aYZv27duzdu1aZs+eTVlZGRkZGbRt27bOEyutIr+hlNi7oCG8JQ+QXJSqKRuEKpWK\nnTt38uSTTzbZOYQQwhmXDanqj/aqj6+yZs0aoLLX3sMPP8y9995LdHQ0Op2Ol19+meDg4CYKVwgh\natq8eTMpKSls377dPnTB/PnzPRyVaKmc1UJ1jihl8eK58njPC7lsSB04cIDOnTuzYsUKAJYtW0ZK\nSorDWFLbtm1j5MiRbh1YTwghrsS2bdtYs2YNiYmJTgdDFKI5ORtH6lC2L++9Os5DEYmm1OheeydP\nniQ/P59HH32U+++/ny+++KJpIhVCiFqcO3eOLVu2cO7cOVJTU0lNTfV0SEKIFqLej/ZqYzabOXjw\nIKtWraK0tJThw4fbp4ERQojmcNttt5Gbm8vtt99OTk6Op8MRQrQgje61FxUVRUhICAaDAYPBQK9e\nvUhPT6+zIeVNPZG8JRdvyQMkl5bm/vvvb/C+q1atAiAhIYHU1FSMRiOPP/64myITLZHUSLUsje61\nN3jwYGbPnk1aWhojRowgMjKSUaNG1Xlib+qJ5A25eEseILkolVIbhMHBwWRnZ7Njxw7GjRvHypUr\nPR2SuMrdc88wpszf7LBMaqS8V70H5Ly8115Vz70OHTrQr18/Ro0aha+vL3379iUuLq5RQW3cuIF1\n6z6t17b/+c+/MZvNV3T8Z599ittu+wPff7+9IeEJIbzIfffdx5gxY674c0QIIcANvfYAdDodL7zw\nAj/99BMDBgxodFD1qc2qsnHjBgYOHHxF8/vNmPEa69f/qyGh1ZvNZrPnYbVaUatdtlmFEB6SmprK\njz/+CFTO1FA1fEJtQkL80Go1zRGanRLv5ikxJlBGXKWlATWW6XRaRcR2OSXGBMqNyxmXrQ9nvfYO\nHDhQY5uUlBQ+/PBDpk2bdkWNIFf27NnFjh3fUVJSwsyZSYSFhbNx4wa++mo9VquFJ58cj16v58iR\nw0yZ8iy33DKQ9u3jWL16BSZTGQMGDOKRR0Y6PXZYWFit57XZbEyc+DRmsxmdTsecOW/i5+fPV1+t\nZ/36z9Hr9Tz++GiuvbYLs2ZNp6LCRGBgMNOnz+LAgX2sWfMPtFot/fr9nnXr/h/duyeQn5/HjBky\niaoQSjRgwIAr+gKYm1vShNHUpMTHu0qMCZQT18qVK7mlHXxbbVn7kEJmzpypqBoppVyvyykxLlcN\nu0b32pszZw5TpkxBpVJhs9kcHgE2lM1mw9fXlxkz3mbnzv/x8cer+etfnyQl5b8sWpRMaWkpL774\nPAsWLKVjx0689dZ7GAwGTKYyFi5chtVqZezYkTz44Aj0ev0VnVulUvH3v8/Fx8fAp59+QkrKf+nf\nfwAbNnzBokXJaLVabDYb//znx/Tt+3ueeOJx3nprHps3byIyMoqSkmIWLlwGwKpVK3jggb/QunWb\nRl8TIYQQVwepkWpZGt1r7+eff2bixIkA5ObmsnXrVrRaLYMHD3Z5YletO6PRl4SE7oSHB9KvX2++\n/HItxcU5nDp1nEmTxgNQXFxIeHggOp2GsLAAfH192bPnEIsWLcJsNpOVlYlaXU54eKjTc/j7+xAU\n5FsjjuLiYt544w2ys7PJy8vj1ltvpawsjx49uhEdHWLfLicniz/+8S8A3HRTL/bu3Uvnzu254Ybu\n9mO2ahVMjx7XurwOSnI13Uqti+QihFCSsrIyjp84zu/a/c7ToQg3q7PX3smTJ/nXv/7F0qVLOXPm\nDA8//LDDNikpKaxfv57ly5dTWFiI0WikdevWdZ7Y1W27goJS0tL2c9ddhezcuZuIiBj8/EL43e86\n8Oab7wKV41edP1+IzaYiKysPf38zixcv4bnnXiQ6OobRox/hwoUitFrn5ykqKiM/v7RGHKmp3xIa\nGsnf/vYqa9Z8THFxCX5+Iezff4Bz53LRarVYrVZCQ6P47ruddOnShR079hAdHUNeXgllZWb7MS0W\nm+JuT9ZGibdSG0pyUSZpEIqWrCzgWv7xrxRemfSEp0MRbuayIaXVann55ZeZMGECERERjB8/nk2b\nNrFgwQLCw8MZPnw4AG3btuUf//gHSUlJREZGMmPGDD79tH697pxRqVRUVJiZPPlZyspKefXVOQQF\nBTN48J+YMGEMarWa9u3jeP75KfTvfwvTp09l4MBBDBw4mGnTptC+fRz+/jWL/aokJc1k3769bN+e\nyvHjx3j44Utjxlx33fV8+OFKjhw5REhIK6KiogkKCuauu+5j3LjR+Pr68thjf+Wee+5j5szpbN36\nLYGBQTzyyEh+/HE/1Z+GuqlcTAghxFVk/fq1NWqkbmx10FPhiCamstVR1JSWlsbChQsdeu4BNXru\nVcnPz+fuu+9m69attR6zXbt27N79Y0NjVhRvuWPgLXmA5KJU3nJHqrlfDyW+B5QYEygnroyM00yZ\nv5lvV1XOQXvXpMqp0zr5Z/C3Zx7zZGgOlHK9LqfEuBpcbA7167lX3WeffeaWIRDc4dSpk7z1VpLD\nssTE1wgLC/dQREIIIYTwJnU2pK5kOIMdO3awbt06/vnPfzYqKHeJjb2GBQuWejoMIYQQQnipOhtS\n9em5B5Cens706dNZvnx5nQPagffc5gfvycVb8gDJRQjhOc5qpHoZ93kqHNHE6mxI5ebmsmPHDgYN\nGsSwYcP4+uuvmTvXcULGqVOnsn79emJiYiguLq7XiWNjrwHghx9+akDYyqHEZ7kN4S15gOSiVNIg\nFC3FgTM+lAc6Dn2zp6AHnfwzPBSRaEou5y2xWCwkJSUxa9YsdDodixYt4sYbb6RDhw72+fZSU1P5\n/vvvCQgIQK1W89BDD/HAAw80V/xCCCHEVeHMuXMcO37C02EIN6tzrr3Y2FiGDh3K0KFD7T32APvQ\nBzNmzOCll17ijjvuAOC2225jyZIlTRiycJeePbsCV/9dQSHcZffu3aSlpREaGsrQoUM9HY7wMsXG\n3mzbsYcOv2vn6VCEG7m8I+Wsx15WVpbDNtnZ2URFRdl/j4qKIjMz061B9uzZ1f5Hvzn3Fe7lqdei\nvueV90pNLe2a7Nu3jzFjxpCTk+PpUMRV6tW/L6Bba5NDTZTFXEEv477KZW6YRk0oS6Pn2gNqzK9X\n134ZGduByn169vR3WHf27BmH32NiWnP27HYAoqPz7MtcqTpGQ/at7Ti1UavBar2Ug7P43c0xv7pj\nrP04ldemZ0//GnnUdb4qDXktqr/mjYm/NlW5XIq15nmdx3ppO+fvw5qx1ndZQ6nVkJFx6b1b17Fd\nvT4NeR2d/f+pb36Xb3fqlMvNFaE+n3meqPVSYn2ZEmMCz8e16O1p9p8TExOrrVFmyYunr1dtlBqX\nM42eay8iIsLhDlRtvfqqa9Om9kl827RpW69lVTIyMmocs/r29d23ruM4W1/l7Nmz9nVXGmtd216K\npXqMrvNzva/z/ADUanWDrqez87nat/o5nC2rK/765KdWq12+Fs7Ulaer+Gs7zpVy/p6s3/Wv6/3X\nkP8X9c2vPu+vq0GPHj1ITk4mLCzM06EIIa4SLkc2N5vN3HbbbaxatYqIiAiGDRvG3Llz6dChg32b\n1NRUPv74Y5KTk9m3bx9JSUn1mh7GXT2R3FXnU9dxalsfHh54VfRArCs/T/cOqx5fQ1+LKp7OxV16\n9uyKWq3yqlkAhBDC29Q5RUxqaipJSUlYrVYeeOABxo4dy5o1a4BLBeezZs1i27Zt+Pr68vrrr3Pd\nddfVeWJv+EMH3vNH29N5uLPw3dO5uJO35SKEEN6mzoaUEEIIIYRwzmWvPSGEEEIIUTtpSAkhhBBC\nNFCdU8QIIYTwDJPJRHJyMqGhoTz00EOeDsdBamoqe/bsYfLkyZ4Oxe7gwYNs376d8vJyJkyY4Olw\nAOUO8rp582bS09Np164dd911l6fDcbBs2TLatGljH+hb6eSOlBBCKNT27duxWq1oNBpPh+LgwoUL\nmEwmAgOV1YGgS5cujBkzhoqKCk+HYqfUQV6HDBnCqFGjHIY4UoJdu3bRqVMnT4dxRdx6R+rIkSN8\n++23dO7cmYEDB7rz0EII0SJs3ryZlJQUADp06EDPnj05fvw4OTk5tGrVShFxxcXFodFo2Lt3L0VF\nRQQEBCgiroSEBCwWC7fffrvH4rlcfQe2bm4Wi4Xly5czevRoT4fi4ODBgxQUFFBQUHDV3JFya0Pq\nm2++ISgoyJ2HFEKIFmXIkCEMGTIEgIKCApKTk7HZbAQHBysmrirl5eUebUSBY1zbtm1j7dq16HQ6\n4uPjPRpXFaUO8jp//nwsFgv79u2jf//+ng7HbuTIkZw5c4b9+/d7OpR6c+vwB0lJSUyePJmlS5fy\n7LPP1li/detWkpKS+Pe/vyI3t8Rdp/WokBA/r8jFW/IAyUWpfHxsGI1GAJYuXcq6detQq9W88sor\nivogF0KIK+HWO1JVo6BXfVhWZ7FYmD17NitXrkSrVdbz/sbwlly8JQ+QXJRq2bJlTJkyhaNHj7Jx\n40a++uorsrKyGDVqFJs2bUKtbr6Szb1793LgwAH8/PzIysrCaDRy77338sEHH+Dj48PTTz/dbLEI\nIa5ubv3kSkhIYOzYsYwcObLGugMHDhAbG1uveeaEEN5n8+bNAKSkpHDnnXei0+lo06YNsbGxHDhw\noFlj6dGjB+fPnyc/P59x48ZRXl7Orl27GDZsGBEREeTn5zdrPEKIq5fbvwIuW7aMjRs31lielZVF\ndHS0u08nhLhKXLx4EYDs7GyioqLsy6OiosjKymrWWNRqNS+88AIWi8VhuUz0IIS4Um59tFfVbbGk\npGZNh1J7Lgghmoerz4Dm/nzYtGkTR44cAWDJkiUEBQXRp08fVq5cicFgcNlpxmy2eNUjV9F0qt7X\n0kD3bm5tSLnqthgZGekwXoU3TWDqLbl4Sx4guShRVdf9yMhIMjMz7cszMzOJjIxs1lhuvfVWbr31\n1hrLJ06cWOe+zV38r8SJq5UYEyg3LkCRcSn1eikxLlefw25tSLnqtti1a1dOnjxJRkYGbdq0UdxF\naiglvuAN4S15gOSiVFVd1AcNGsTkyZMZOXIkWVlZnDx5km7dunk4OiGEaBi3TxHTunVrWrduXfNE\nWi3Tp09n9OjRbNq0yd2nFUIo3JgxY4DKwRxvv/127rzzTjQaDYmJifLoX3iVxYvnOvy+dOWnZJ76\nBYDx4yd5IiTRhNw6jhTUf/4eb/mW7S13DLwlD5BclMpbHlE29+uhxPeAEmMC5cUVEVE5FNBz0xfy\n8jOPeTiampR2vaooMS5Xn19u77Wn1Pl7hBBCCCHcze2P9uo7f4+3fDsF78nFW/IAyUUIIUTzcHtD\nqr7z9yjttl1DKfEWZEN4Sx4guSiVNAhFS3F5jVT1ZVIj5X3c3pCqT/dhIYQQwltVNZZeffXVGsuE\n92m+ya2EEEIIIbyMW+9I7d69m7S0NEJDQxk6dGit25WUVVBUWoG/QWvv9lxeYSEzp4TwYF/OXihm\n/7GLXBsbTCujgbJyCzmFZei1GlQqyC000TrcH1O5haJSMxqNirwiEz5aDTFh/pgtVgL99ZSUVXAh\nrwyjv54KixWdRk1WbgldrmmFSgU+eg0+Og0FxeUEB/hgsdowVVioMFsJ9NOh1aipMFtRqUCtUrHv\n6AVCjQaiQ/3Q6zTYbLYaI9ZabTbUKhUVZivpp3Lx1Wvx99Wi06ipsFjJzCnBoNNg8NHSLiqQ3EIT\nrYwGh2NYrFYqzFZ8dBpsNlCpKkfItdlsZOeVEhLgg9Vmo6zcQkmZmeAAHzLOF3H8XAGhRgNBAXq0\nGjVqlYrwYF90WhVmiw2VCnRaNflF5Rw/V0DHNsGoVKDXaVi/9RiWCgvdOoRiA/RaNeUVFlQqFVqN\nGoNeg1qtwmyxYrHYsGHjfF4Z0aF+5BaaMOg1GPQarDbw0WnIzCkhp6AMjVqFn0FHqNEHjUaNqdxC\ncVkF0aH+2GyV1zu/qJxAPz0WqxWzxcbp7CL8DVqiQ/0BG3lF5ZSWm2kVaKCotIKYMD8uFpjQqFSE\nBhnIyimh3GxFp1WjUoFvgAGrzUZVh/qcAhNqtYqLBWWczCykXVQgWo2aEKMPxaUVZOWUolZDkL8P\nxWUVqIDIVn4UllQQHKCn3Gzl8Ok8/Hy0dIsLRYWK0nIzvj5a8gpNWK02Qow+HD9XSIXZitFfz5nz\nRXy25RgPDelI+5ggLuSX4m/QkVtowuivJ6qVL1k5pYQaDRSXVdjfA7mFJvwNWi7kl5FfZCIsLICc\ngjKKy8zotJXvx7YRAUDlaMmFJRUY9Br0Oo19mc0GNirflxfyywj01VNWbiYk0AezxYqu2qjc3wJi\n0QAAIABJREFUNlvllvlF5Zy7WIyvj5aoVn5o1CqKSivIyikhNMiAr48WvVaD1WajvMKC+bf3QFm5\nBR9d5fkPn87D6KdDo1ZjMltoE+ZPfnG5PV4lqd67+OjRo9x0003Ex8fLpMVCiCvm1obUvn37GDNm\nDMnJyS63+8vLNefic+bf37sjqobTaiobIM5U/VGDyoaDqcKCQa+hrNxS576uOB5Djdlita/zN2gp\nLjNf8TGrU6tUWBs44oVKBUqb6aDq2ivVgnU/Ol1++Wtbm7fW7HO63NdHg0atpqi0wr4s1GjgYkGZ\n/Xe9Tk15Re3nUAHN9XK2MvqwOvG2Zjpb3YYMGcLNN9/MJ598gk6nw2Qy2Sct3rFjB/n5+S6niRHC\nFamRalnc2pBqyKB6VQ2OVkYDFWYrhSXlLrfv2DaYI6fzHJZ1iwvDoNfyQ3oWHdsGYwNaGQ346DWk\nn8gh86LjlA7too2cOFdQZ2yuGkJVjSio/INlqrDYG0AAka38yc4tcdiuU2wwh09dir0q96AAPflF\nlXlXbxRU/0Nr9Nej06rRaNQUFJcTFuzLhbzSOnMAxwaYs0ZUhzZBHMuoe7Z7Z42oiBBfsnPrH0ep\nyYy12nGM/noKiitzj2sbzKnMQsqvoGHk76sjKtSP0nIL2Tm1T90RHuKLXqvmzPli+7l0GjW/nMhx\nun1okIFSkxmjv97h/RPgq7M3XqJD/Tl3sbjGvp1jQzidXUhJmZlOscEY9FqOnM6l1FSZl59B67KB\nUyU2KrDyTu3FmnlZbaBVVcZpsdrIKzRd1ojS1HkdXTWiggN9sFisFJZUEH9NCOkncwEICfQht9BU\nZ+wAN14Xxc6fMwn009MmQlmF5tV7FwcEBPD+++8TFxdXrznRQkL8mn2uPSUW6isxJlBGXImJiYBj\njVTVMqVRwvVyRqlxOePWhlSPHj1ITk4mLCzM5Xafv3k3Fy8W2e+OqKtN7KhSqdi4cQOlpaUMHfqg\nfZ+qdZf7z3/+zR//2AWtVgv3dHF6vgqztfJRRVkFF89n8vabs/FTqfDz8yMx8TVsah+0GhVFJRUU\nFhdx/NB+4q67kQBf3W+P/Bwfh5jKLahUoNWqCQ7xpyCvpMbdBa1GbY/bbLGh07ouRysoLscGBPnr\n7R/mVY/zKszWykd1asf8K8xWNBoVOfllhAX72pdbf9sHW2XDzOivt8dSbrai16pRqSof02nUKlQq\nFaGhAVy4UGiPtcJspcJswddHiw2wWKz2x4NVd1P0Wo1DTDabjZwCE2aLleAAH7RaFWqVyunrdiQj\nj1CjgVZGA2aLlRKTGaOf3mGbsnIzep0GtUpFTkFZjUegtQlp5c+Zs3lofovT36C7dG2sthqvZ9U1\nrnpcW58vBGaL1f4aQ+XjWI264SWHGdlFBAXoMei1gM0en7NeeyVlZvwMNf/r2mw2LNbK/09qtYoK\ns4Vys5XyCitBAZXX1mKxkVtkIvNiMdde04qSsgoCfnscV6X6/0mr1VbjNb788aB9v8u2BRh7t/P/\nk542f/58zGYzq1atQqPRYDQa6d27d70mLZa59pQZEyg3LlBmT3WlXi8lxtVsc+316tWLXr161bld\nVf0OYP8XLt3RcvaHrLY/bhs3bmDgwMGVDalaVDVijH56VK1CePPNefj7B/Dll/9i/foveOihRwAw\n6LVUlOby7bf/ZdCgIfb91WoNVqsV9W9/bHz0l/6I+PxWm1L9j+rlceu0df9hrmrsXJ6rSqWy17/U\nllf1RhRUXtOquKrHqqq2/PKY1b81qKpi1WnV9uOrALVWg67aJXaWr+q3mqX66Ngm2OFYlzeigN8a\nFZXq24iqOp7fb40nn8uunVqtQq12XFb9Gtf3rurl+TemEQXQ5grqiJw1ooDf6tkuxa/TatBpNfhX\nu3RqrYqIYF8ifnvPBAX41DhO9f+TlzeMKt8jzt+Pl2+rZLX1LpZex0KIK+XWhtTBgwfZvn075eXl\nTJgwoVHH2rNnFzt2fEdJSQkzZyYRFhbOxo0b+Oqr9VitFp58cjx6vZ4jRw4zZcqz3HLLQNq3j2P1\n6hWYTGUMGDCIRx4ZWeO4gYGXWpVarRbNZX8QP//8M/bt28uzzz7FpEkvMWvWK3TvnkB+fh6PPPI4\nc+e+idlspnPneCZOfBGbzcY77/ydX389ikajYdasNyguLuKdd/5ORUU5nTp15pln5Jm4EEK0FFIj\n1bK4tSHVpUsXunTpwrx58xp1HJvNhq+vLzNmvM3Onf/j449X89e/PklKyn9ZtCiZ0tJSXnzxeRYs\nWErHjp146633MBgMmExlLFy4DKvVytixI3nwwRHo9TXvdAAUFhbyxRfrmDt3ocPy++8fxtmzZ3jt\ntb//tl0RDzzwF1q3boPJZGLhwmUATJ06mYyM0xw4cA6NRs2iRcn22N955w2mTPkbMTGtefvtN0hP\n/4X4+GsbdU2EEEJcHWQcqZal0Q2pzZs3k5KSAkBCQgIWi4Xbb7+9zv1cPW80Gn1JSOhOeHgg/fr1\n5ssv11JcnMOpU8eZNGk8AMXFhYSHB6LTaQgLC8DX15c9ew6xaNEizGYzWVmZqNXlhIeH1jh+RUUF\nr7wyhRkzXqF9+xiHdSZTPj4+Wnt8rVoF06NHZSPo6NEsZs78O2VlZZw+fRqzuZhff/2VW27p55DP\n2bOnefvtOQCUlJRQXj7oqiicuxpirC/JRQghRHNodENqyJAhDBlSWU+0bds21q5di06nIz4+3uV+\nrgrJCgpKSUvbz113FbJz524iImLw8wvhd7/rwJtvvguA2Wzm/PlCbDYVWVl5+PubWbx4Cc899yLR\n0TGMHv0IFy4UodXWPE9S0kz69RtI27Yda8RRWFhOaWm5fbnFYrP/vHLlh9x//3B69erD3/42idzc\nYjp06EBKSioJCX0BsFqtxMS05emnnycqKuq3Y1gUVzh3OSUW9zWU5KJMLa1BOGHCGCZMmFjvu9FH\njhzmwoXz3Hxzvys+1+7dO1iyZBFmcwVarY6nn36OhISa9aoPPHA3H3zwMUajYzH99u1bOXHiV6fl\nEI2NTQhv59ZHe7///e/5/e9/3+jjqFQqKirMTJ78LGVlpbz66hyCgoIZPPhPTJgwBrVaTfv2cTz/\n/BT697+F6dOnMnDgIAYOHMy0aVNo3z4Of3/nxbv796fxf/+3mXPnzrJx4wZuueUPDBs23L4+NDQM\nk8nE9Ol/Y+zYp6lee9yv3+957723ueaadvbeXYMGDeKbb75l/Pgn0Gq1zJr1BuPGPcPbbydRXl6O\nWq1m6tQZREZGNfq6CCGuHlc6HMyRI4c4dOiXBjVWgoMrO9GEhobx66/HmDz5GT7/vOZ4fVU9gS/X\nv/8t9O9/S5PE1hJJjVTLorLVZ+CUekpNTWXPnj1Mnjy5zm296Vu2N+TiLXmA5KJUTX1H6sUXX+TO\nO+9kwIABTXqe+r4ezzwzlri4Tuzb9wMWi4WpU2dw7bXXUVpayrx5b3L8+K9YLGb++tcx3HRTPx58\n8F7Ky8sJDw/nkUdGERMTw3vvvYPVakaj0TJ1aiKxsdfUeV6bzcaddw5h/fpNNXozDxt2D7fddiff\nfbcNi8XM7NlvEBvbjo0bN3Do0C9MnPgi3367mVWrklGrNQQEBPDuu4sdYnv00b/yl7/8WZHvS6X9\nf4mIMALw3PSFvPzMYx6OpialXa8qSoyrWYY/uHDhAiaTyaFXnKedOnWSt95KcliWmPgaYWHhHopI\nCNFUXnvtNTZu3Mjzzz/PDTfcwLBhw/Dz8/NoTCZTGStXfsL+/Wm8/vosPvzw//Hhhx/Qq1cfpk1L\npLCwkDFjHqdXrxt58slxHDr0C88//wIAJSXFLFqUTFRUMBs3bmbZskW89tqbdZ5zy5YUOneOr3VI\nmODgED744GM+//wz/vnPj3nppVeAS3fQVq9ezty5iwgLC6O4uAitVlsjNiHEJY1qSFUvNI+Li0Oj\n0bB3716KiooICHA9Lk5z1EuEh3dlzZpPmuE8ymk8Noa35AGSS0uUm5vL6dOnCQwMJCwsjGnTpvHu\nu+863bZqrj2VSoXVasVoNHLvvfe6fa69IUNuBaB79xsoLi6mqKiIXbt28N13W/nnPz8CKju/ZGVl\n1pi7s7CwkNmzE8nKOls5IK657umhfv31GEuWLGTevEW1bjNgwCAAOnWKJzX1W/vyqnNff3135sxJ\nZNCgPzJgwB/s69z48EIIr9KohlT1QvMq5eXldTaiQB7tKY235AGSi1I1dYNw5cqVjBgxgtjYWAB7\nZw9nqs+1N2rUKFauXNksc+1VlU3NmfMWbdvGOqw7ePAnh9+XL19Cr169eeqpJ/jxx8M888xYl8fO\nzs7i5ZdfYPr0WcTEtK51O72+crBajUaNxVJzGqEpU6Zy8OBP/O9/3zF69KOsWPFRfVIT1UiNVMvi\n1mJzgDFjxrj7kEIIUac+ffrYG1Fbtmxh4MCBtW5rsVhITk6u8fjLnXPt6XQavv9+C7fe+gf27NlD\ncHAQ7dpF84c/DOCrr/7F9OnTgcqBjLt06UJUVCgHD1bYG5xms4n27avy2YRaraq1MVpQUMDUqZP4\n299e4g9/qL0gXK2unA4qODiQzEw/dDoN4eGBBAYa8PXVEx4eyKlTpxgw4GYGDLiZPXt2UFFRRHR0\nGL/8UuFwfqXeKVVCXDLXXuMpNS5n3NaQMplMJCcnExoaykMPPeSuwwohRL3s3r2bQYMqH1vt2bPH\nZUNq/vz5WCwWoqOjWbJkCUFBQfTp08etc+1VVFiwWlXcffc99mLz8+cLGTbsUebPf4c77rjzt+FS\nWvP3v8+jQ4frWLz4fe66624eeWQUQ4eOYM6cRN5//316974Zq7X2O/mrVq3g1KlTvPvue7z77nsA\nzJu3mODgYIftrFa4eLGIigoNeXmlmM1Wzp8vpKjIRFlZBefPF/Laa0lkZJzGZrPRq1cfQkNbo9MF\n2mOTYvOGUWJcSr1eSozLVcPObb32UlJS+Pnnn4mKiuLBBx+sc3ulXaSGUuIL3hDekgdILkrV1N8w\nX3rpJe677z4A1q9fz+uvv94k52nu10OJ7wElxgTKi0t67TWMEuNqsl571YvNO3ToQM+ePTl+/Dg5\nOTm0atWqMYcWQogr8sorr7BhwwZsNhvTpk3zdDiiBZMaqZbFbXekCgoKSE5OxmazMWnSJNRqdd07\nCSGEmxw6dIjU1FTKy8sBGj1xem08eUdq587/sWTJAof1MTGtmTPnLY/FpCRKi0vuSDWMEuNqlnGk\njEZjvQbirKK0i9RQSnzBG8Jb8gDJRama+tHeqlWrGDVqVK3jJ3mDG2+8mRtvvNnTYQghqvHeTxwh\nRIvSsWNHOnXq5OkwhBAtjDSkhBBeYefOnezatQu9Xg9U9swTwhOkRqplcetce0II4SnFxcUcO3aM\nbt26kZmZ6XJAzsaQXnvKjAmUF1dVjdSDT71G327tGPHAPR6OyJHSrlcVJcblqjRBKsKFEF7h9ddf\n5/PPPwdgyZIlHo5GiEtK/Lqy55dzng5DNBF5tCeE8Ap+fn4YjZV3AAwGg8ttd+3axZo1a7jjjjv4\n6aefuOmmm4iPj3f7XHtCCO8nd6SEEF4hJCSEtLQ03njjDVRVk9rVok+fPsTHx+Pn54dWq8VkMtnn\n2ouIiCA/P7+ZohbeaPHiuTXqpOJCi53WTomrn9RICSG8xrFjx7DZbMTFxdW57bJly+xzg77//vvE\nxcXRuXNndu7cyZ/+9Kdap4kxmy31mmtPiKoG/V2TviBC9Ssr3p7o4YhEU6jz0d7UqVNJTU0lNDSU\nDRs2ON3mtddeY+vWrRgMBt544w26dOni9kCFEMKVSZMqe0OVlZUBsHjx4lq3TU9PZ+/evSxevBiV\nSoXRaKR3795unWvPXZRaeKu0mEBZcX2y9guH38vLLYqJrYqSrld1SoyrUQNyDh06lEcffZSXXnrJ\n6frU1FROnjzJN998w/79+3n11Vf59NNPGx6tEEI0wNy5lY9NbDYbq1atcrltfHy804L0iRPljoFw\nj5QfTnk6BNFM6mxI9erVi4yMjFrXp6Sk8Oc//xmA7t27U1BQwIULFwgLC3O6/e7du7nhhoRm/1bX\nVEJC/LwiF2/JAyQXpfroo2R8fHx46qmnmDdvHiqViokTJ7ptOqkjR46gUqkwm80cOXLELccUoiEW\nL55Lz1io/gynqkZKxpHyPo3+BMvOznYYryUqKorMzMxat9+3b59X1Rd4Sy7ekgdILkpVVcidnp5O\nv3796Nu3L+np6W47/qZNm/j666/ZunUrjz2mvHnNRMsxfvwkfjjleJ/i6EV/aUR5KbcMf3B5vbqr\nHjN19aYRQoiG6Nq1q/3nzMxMMjMzGThwoOcCEkK0CI1uSEVERDjcgcrMzCQyMrLW7Xv06EG7du04\nceJEY0+tGE09GWtz8ZY8QHJRonnzlmMwGIiPj+e9995DpVLx3HPPue34a9euJSEhAZVKxQ8//MCQ\nIUPcdmwhhKhNnQ2prVu3MnPmTLKyshy6C1fp06cPs2fPZtmyZRQVFaFSqWqtj4LKmito/mkWmooS\nexc0hLfkAZKLUlUv5K7qYedO7du3Z/To0QDk5OTYazeFaG5SI9WyuGxIWSwWnnvuOXx9fbHZbLz3\n3ntYLBZCQkIAGD58OMePHyc6OpqioiIMBgOZmZmYzWa0Whk0XQjRvKZNm1bnlzkhmtr48ZMY/TfH\nSbOPXvRn7vSxHopINCWXrZ0DBw6QkJDAihUrgMoB7KCyAVUlPDycHj16kJiYyOnTp3niiSekESWE\naHYTJ04kMzMTo9GIXq/3dDhCiBbCZa+9rKwsoqOj7b9HRkaSlZXlsM2DDz7I0aNH6d+/P/fccw/T\npk1rmkiFEMKFpKQkFi5cSEBAALNnz3a57c6dO5k0aRInTpxgwYIFrF69mry8PObOncuiRYuaKWIh\nhDdw2ZCqTw+7JUuWEB8fz/bt2/nyyy+ZNWsWRUVFbgtQCCHqQ6VSERMTA0BgoOsC/RtvvJH4+Hi2\nbNnCuHHjKC8vl7n2hNtU1kiZHZbJXHvey+UzuMjISM6dO2f/3VmPvLS0NJ566ikAYmNjadOmDceP\nH+f66693eWJv6YkE3pOLt+QBkktLpNfrOXbsGB999BEFBQX13q/68C31mXo0JMSv2cf3UuJ7QIkx\ngTLiSkxM5P4xrzssO1VoVORce0q4Xs4oNS5nXDakunbtyqFDhxg8eDBqtZrS0lJWr17tsE379u1Z\nu3Yts2fPpqysjIyMDNq2bVvnib2lJ5K39KryljxAclGqpvxgtNls3HrrreTm5gIwYsQIl9tXzbXX\nt29fli5dSlBQEH369JG59upJiTGBsuIyW6wOv8tce/WnxLgaPNde9Ud71b+prVmzBqgsOn/44Ye5\n9957iY6ORqfT8fLLLxMcHNzYmIUQot5UKhU7d+7kySefrNf2MteeEMJd6uy117lzZ4deeykpKQ5j\nSW3bto2RI0e6dWA9IYS4Eps3byYlJYXt27fb7ybNnz+/jr2EaBoyjlTL0uheeydPniQ/P59HH32U\n+++/ny+++KJpIhVCiFps27aNNWvW0K5dO+bPny+NKOFRMtdey1LvR3u1MZvNHDx4kFWrVlFaWsrw\n4cPt08AIIURzOHfuHFu2bOHcuXOkpqYCMGDAAA9HJYRoCRrday8qKoqQkBAMBgMGg4FevXqRnp5e\nZ0PqaqrIr4u35OIteYDk0tLcdttt5Obmcvvtt5OTk+PpcIQQLUije+0NHjyY2bNnk5aWxogRI4iM\njGTUqFF1nlhpFfkNpcTeBQ3hLXmA5KJUTdkgvP/++5vs2EJcKamRalnqPSDn5b32qnrudejQgX79\n+jFq1Ch8fX3p27cvcXFxjQpq48YNrFv3ab22/c9//o3ZbK57w9+cPXuGp59+kgkTxvDii89TXCyD\nhwohhHAfqZFqWRrdaw9Ap9Pxwgsv8NNPP7mlLqE+tVlVNm7cwMCBg+s9v19goJE335yHv38AX375\nL9av/4KHHnqkoaHWymaz2fOwWq2o1S7brEIIIYS4CrlsfTjrtXfgwIEa26SkpPDhhx/aZ153hz17\ndrFjx3eUlJQwc2YSYWHhbNy4ga++Wo/VauHJJ8ej1+s5cuQwU6Y8yy23DKR9+zhWr16ByVTGgAGD\neOSRkTWOW33qCK1Wi0bj2MCx2WxMnPg0ZrMZnU7HnDlv4ufnz1dfrWf9+s/R6/U8/vhorr22C7Nm\nTaeiwkRgYDDTp8/iwIF9rFnzD7RaLf36/Z516/4f3bsnkJ+fx4wZruf+EkJ4xqpVqwBISEggNTUV\no9HI448/7tmghBBXjUb32pszZw5TpkxBpVJhs9nqNcUCuK6XCAjwITg4kLfffptt27axbt0nTJgw\ngW3bvuXTT9dQUlLC2LFj+eijj+jS5VqWLVuGr68vZWVl3HHHEKxWKw8++CBPPz221lngCwoK+Oqr\nL1ixYgVGo2MsK1YkYzAYWLVqFbt2bWPw4MF8/fUGPv10DVqtFpvNxgcffMCtt/6Rv/zlLyxevJid\nO1OJiYmhoqKMlSs/BuCjjz5g7NjR9RrpXQm8qahZchH1FRwcTHZ2Njt27GDcuHGsXLnS0yGJq5zU\nSLUsje619/PPP9tHA87NzWXr1q1otVoGDx7s8sSuCmiLikxcc00Hzp8vJDq6HUeOfMCBA+kcOnSY\n4cMrp37Iz8/j/PlCKiosXLhQhMFgZv/+NFauTMZsNnP6dAaHD58kMjKqxvHNZjPTpk1h3LjnMJlU\nDrGUlJTw1ltJnD+fTWFhAQMHDubHHw/Rvn1HcnNL7dsdPnyMe+75MwCxsXH8+ON+/PyCad++k/14\nfn4BGAzBV0WxsLcVNUsuyqPUBuF9990HwOLFi+u1vcy1V0mJMYHn47JarbRp15nPtxx1WC5z7V0Z\npcblTJ299k6ePMm//vUvli5dypkzZ3j44YcdtklJSWH9+vUsX76cwsJCjEYjrVu3blRQNpuNI0cO\nAZCe/gtt2sQSE9OauLiOvPnmuwD2AnOtVovFUvnzJ598yAsvTCM6OobRox+htptjb745hz/8YQjX\nX9+9xrrdu3cQE9OaxMTXWLPmY0pKSmjdug2HD6djNpvRarVYrVZat27LwYM/0a9fb3755Wfato0F\ncKiFkrooIZQvNTWVH3/8EYAlS5a4nGcPZK49UGZMoIy4TCYTazb/iiHieoflWYU6HnpiKvNfn+ah\nyGpSwvVyRolxNXiuPa1Wy8svv8yECROIiIhg/PjxbNq0iQULFhAeHs7w4cMBaNu2Lf/4xz9ISkoi\nMjKSGTNm8Omn9et154xKpaKiwszkyc9SVlbKq6/OISgomMGD/8SECWNQq9W0bx/H889PoX//W5g+\nfSoDBw5i4MDBTJs2hfbt4/D3D3B67P370/i//9vMuXNn2bhxA7fc8geGDRtuX3/dddfz4YcrOXLk\nECEhrYiKiiYoKJi77rqPceNG4+vry2OP/ZV77rmPmTOns3XrtwQGBvHIIyP58cf9VH8a6qZyMSFE\nExowYIAM3imanCqgLeWF0kvcG6lsdRQ1paWlsXDhQoeee0CNnntV8vPzufvuu9m6dWutx2zXrh27\nd//Y0JgVRYkt54bwljxAclGqq+lWvSvN/Xoo8T2gxJhAGXGZTCZWrFgEwKuvvgrAXZO+oJdxH4Ci\naqSUcL2cUWJcDb4jBfXruVfdZ599Vq9vdz17dgXghx9+qnPbhjp16iRvvZXksCwx8TXCwsKb7JxC\nCCFatu1HdRgirnNYtqegB/rCXzwUkWhKdTakrmQ4gx07drBu3Tr++c9/1rmtWl153Kb8lhoe3pU1\naz5psuNfOo93fNP2ljxAchFCCNE86mxI1afnHkB6ejrTp09n+fLldRZrAlitlU8U63P7zt13r9x5\nPCXegmwIb8kDJBelkgahEMIb1dmQys3NZceOHQwaNIhhw4bx9ddfM3fuXIdtpk6dyvr164mJiaG4\nuPiKg3DWsKmrsVO1vkpTPiKsTc+eXVGrVV5T7yWEEKLx+sdVAPv4d7VlvYz7wOipiERTctmQslgs\nJCUlMWvWLJYtW8aiRYsYMWIEHTp0sM+1Fx0dzffff09AQABqtZqHHnqIjh078tlnnzUooMsbSM7W\nXUnjylWDq77Hq34cTzTYhBBCXD2kRqplqXOuvdjYWIYOHcrQoUPtPfYA+9AHM2bM4KWXXuKOO+4A\n4LbbbmPJkiVNGLJnNaRB1ZjGnLs15fmksSmEEKKlafRce9nZ2URFXRo9PCoqiszMTMLCwmo9bkbG\ndqCyRqpnT3/Ont1e4+cqzbfsDAAxMa3tP0N94lIRHZ3nZF+qLav9fNXPUZ3z41yK8fLt6lp2aV31\nnKqfI5+YmJga29d1vLqOXd+43KXyHJW5NMf5mppaDVarf90bXgVOnfJ0BHXbvXs3aWlphIaGMnTo\nUE+HI64ymZnneDEpGU3wdU7Xl9l8mPHGfGb97dlmjkw0pUbPtQfUmF+vrv3atGlz2e9tnf7sqWWe\niqG++2RkZPz2exuXy6q7tN51ntWP05jtGpKzq2PXd7v65ndpmzZOj+NqWfV964rrSs/nbLuGxOos\nnvoeu65lzs5b289Xm3379jFmzBiSk5M9HYq4CplMJkw+sQyIOgmcdFoj9f0xmfHC2zR6rr2IiAgy\nMzNdbnO5Eyeaf1C7puKZXlVVvSIL61h2Sc+e/QDYvdv5Y7dLebg+Tn2P1zj1i6G27Vy/Jpf3KK0t\nZ1fLcLKutrgqf6567Fl5vep77KDLcnEea12vRdX6Ko4xOJ6vtmWO8V8e8+Vx1fb6Kb/XXn2+PHqi\n96ESezwqMSbwbFzh4dfz7apLU8MkJiZWW3tv8wdUD/I6Nl695trLyMggIiKCjRs31uixN3jwYD7+\n+GPuvPNO9u3bh9FodPlYT3iGu+uWpA7qyjTl9arr2O44d0t5vXv06EFycrJ8hgkh6q1apaoPAAAg\nAElEQVTOKWJSU1NJSkrCarXywAMPMHbsWHuPvaqC81mzZrFt2zZ8fX15/fXXue4658+HhRBCCCG8\nSZ0NKSGEEEII4ZxUvQkhhBBCNJA0pIQQQgghGkgaUkIIIYQQDeTWhtSRI0dYunQpW7ZscedhhRBC\nCCEUqc5Ji6/EN998Q1DQ5WPRCCGEaAiTyURycjKhoaE89NBDng7HQWpqKnv27GHy5MmeDsXu4MGD\nbN++nfLyciZMmODpcADljpa/efNm0tPTadeuHXfddZenw3GwbNky2rRpY596Tunc2pDKz8/niSee\nYOnSpQwcOLDW7cxmC7m5Je48tceEhPh5RS7ekgdILkp1NQ2wpxTbt2/HarWi0Wg8HYqDCxcuYDKZ\nCAxU1mvapUsXunTpwrx58zwdip1SR8sfMmQIN998M5988omnQ3Gwa9cuOnXqREnJ1fO559aG1G23\n3caqVaswGo1O12/dupWkpCS+/vprd57Wo7RaZX3ANZS35AGSi1IVFBTYPxuWLl3KunXrUKvVvPLK\nK/Tv39/D0SnH5s2bSUlJAaBDhw707NmT48ePk5OTQ6tWrRQRV1xcHBqNhr1791JUVERAQIAi4kpI\nSMBisXD77bd7LJ7L1XeqteZmsVhYvnw5o0eP9nQoDg4ePEhBQQEFBQUt845UQkICCQkJTtdZLBZm\nz57NypUr3XlKIcRVYtmyZUyZMoWjR4+yceNGvvrqK7Kyshg1ahSbNm1CrZa+L1B5p2DIkCFAZeMz\nOTkZm81GcHCwYuKqUl5e7tFGFDjGtW3bNtauXYtOpyM+Pt6jcVVR6mj58+fPx2KxsG/fPkV9kRk5\nciRnzpxh//79ng6l3tw+IGdtzzbT0tJYuHAhK1asAGSuPaXxljxAclGqRx8dxtdff83SpUtRqVSM\nGTMGgNGjR/PMM8/Qo0cPD0cohBBXzq13pFw928zKyiI6OtqdpxNCXEUuXrwIQHZ2Nt27d7cvj4qK\nIisrq1ljqV5oe/ToUW666Sbi4+P54IMP8PHx4emnn27WeIQQVy+33ks/ePAgBw4cYO/evTXWKfU5\nsRCiebj6DGjuz4chQ4YwatQozp07h06nw2QysWvXLoYNG0ZERAT5+fnNGo8Q4url1jtSrp5tRkZG\ncu7cOfvv3tSDx1ty8ZY8QHJRoqpC6cjISDIzM+3LMzMziYyMbNZYqhfaBgQE8P777xMXF0d9Kh3M\nZotXdQIQTWvmzJkAJCYmOiyv+vLg7D1X2z5CmdzakAJo3bo1rVu3rrG8a9eunDx5koyMDNq0aeM1\ndR/eUsPiLXmA5KJUVQXBgwYNYvLkyYwcOZKsrCxOnjxJt27dmjWW+fPnYzabWbVqFRqNBqPRSO/e\nvVm5ciUGg8HleHjNPRyFEt8DSowJlBnX+PGTXMblbPn48ZNqXedOSrxeoMy4XH2hdXtDqtYTabVM\nnz6d0aNHs2nTpuY6rRBCIaqKy+Pi4rj99tu588470Wg0JCYmNvujvYkTJ17RciGEqI3bG1KuRksd\nMGAAAwYMcPcphRBXgerjyz311FM89dRTHoxGCCHcw+0Dt1Qv4hRCCCFassWL59prnq5kn8WL5zZR\nRMLd3D6OlMViYeHChfYiTiGE8CbNXbuh1HoRpcUEV1dcERGVd2izsws8ERJwdV0vT2vWGqn6jpaq\ntIvUUEp8wRvCW/IAyUWpvKX3oRBCVOf2hlR9ijV/OnaBc1mFXBMViI9OQ1m5GY1GTZC//orOZbXa\nKDGZ8dFVPqHUatQ1ilarbrjZgKMZ+aSfzEWv09A9LpToUH/7NiqVinMXi6kwW4lq5cfPJ3Lw89HS\nqW0wPxw6z+HTeQwf0hG1i6LYguJycgtNxIT5oXPSPdpms1FWbkGrUaPTqskpKOPAsYu0jQigQ+tL\nvYQu5JVi9Nej1znvYl1cVkGpyUxYkK99mdli5eCJXNrHGNGoVWTnlpKVW0KfayMpKC7Hz6BFq6n5\nJNdms+Gue5IX8kvJKywnrk0QZy8UY7ZY0WnVRIf6U2oyA6DTqlGrVS6vY5VfTuZyTWQgBh8NPx/P\noU14ACGBPthsNv619VfiY0O47ndXNvdYTkEZgX46h9cnO68Ug06D0V9PhdlKYUk5rYwGzpwv4ofD\n5+nQOojMiyUUl1Vwx03XoNWoK+OJCLC/Z202Gxu+O0GH1kFEtvJFp9Ww4bvj9Ls+mt9FX6oNstps\nteZutdooKq0gr8hEdKif/fVytU9ekQmjn56i0grKys1EhPjZj6VWqxy22/FzFn27RlFQUs7mPafp\n0q4V10QFEvnbPvbrfiKHqFB/fH00nLlQTPtoo8ti8PIKC0WlFbQyGgAoKq3gyOk82kQEEB7sW+t+\nQgjhDdz6aG/37t2kpaURGhrK0KFDa93u7slfOl1+Q8cw1CoV4SG+7DyYRW6hCYA+10aw65dsOrYJ\n4khGPu1jjPx61vnt0E5tg+nVORxfHy3BgT58/M1hsnJq764cEuhDbqEJo7+eguLyGusvX96tQyjB\nAT60MvqQcb6Yrh3COJ1ZwIlzBRxzEpNKBeHBvhSWVNgbE7UJNRq4WFBm/12nVaNWqfAzaO3XojF6\ndgonK7cEG3DmfHGN9eHBBoYO6MC/vz9BhpP1rnRuG8yh03kAPPKnTnz8zeFGx+vM7TfF8vXOUw6N\nv0EJrcktNJF25IJ9mVqlom1EALlFJtpHG8krMnEi89KdncgQX8wWG3/s3ZY1KUcaHM/17UP58deL\nDdpXr1NTXmG9on3iWgdxsaDsit4P3TqEcuCY6xjbRgRwOruImDB/zl6o+dpr1CqsVhtX+mExOKEN\nKXsz8PXR8mnSnVe4tzLJoz1lxgTKjKuq1qlqSIMqrh7t1baPuynxeoEy43J1R92tDank5GSefPJJ\n+7+1qa0hJYTwXhveudfTIbiFNKSUGRNcXXFJjVTtlBhXs9VI1XcsmGkje3M+r5Qf0rM5+OtFRt7Z\nhQ3bf3W4S9IzPoIf0rPxM2jpHBtC2uHzNY5z603X8NOxC5w5X0z3jmHcP7Ajp7IK+c/3xx2+Vf+x\nTywd2lTOnP7tnlMcPpVHu2gjPjoNh07l1jjuiFvjOZNdxK6Dmfa7SI/f2YXNu046vZNTXafYYA6f\nqrwzM+qu61j5758BGDa4Iz8du8hNXaPIKyrnl+MX8TPoGHX3daQdyuZCfilDesfy7Dtb7Me6oVM4\nKpWKX8/kk1d06Q5EQnwE0aH+nMwswGq1cfB4DgARrfy4qWsUPx29yK9n8+nXPQaNWoWvj5ZNO046\njfexO67l3IVi/rvrlH1Z6/AAxt3fjes6hLLlhwxOnCtg98HMGncqrm3Xil9O5Dg9rlaj4vE7u7Bi\nfWX+Ux7uyYbtvxId6k94iC9rq90FahdtJChAz/5qd5QGJrShf/cYXlu5q9ZrfdvN7dBqKu+UbPz+\nhD32zteE0C7ayKFTuZzJLiI2KpCtaWdq7B8V6odOq6a4tIJhgzsB8OXWYwzuHctNXaMJ9NOxNz0b\nH72GQydzua59KFvTzvDdgbMABAf4UG620OV3obSNDKRbXBhvfbyH2MhAel4bSUSIHwNuaA0qFZ/+\n9xBph89z7y0d2PHTOb7/8RzlFRbCgn25kFfqENc1UYGcrHb3rHeXSIpLK+yvM0CvayPZ88ul+enu\n6NuOH9Kz7Xdfo0P9uaFzuP26XO7adq2IaxtM28hAjpzKdXj9+3WLISE+ggWf7nPYJzTIQEmZucad\n1fsGdKBT2xDmf5r2/9u787io6/yB468ZhvtQFARFqUVUovIkM9R0PbIyu9QOsxQtjw7zykJ/3mfb\nZprHIpCo2WpZW2nS2oobaqvigZJLlOuaigqmIPc1x+8PlomRYRhhYA7fz8fDxwNmPt/v9/3+zjh8\n5vt9fz4fSss1ALw+sgs7D/wXtVrLkF530DnU32gcQtyOYhI+sXYIwoIsekXq2LFjpKam4ufnx1NP\nPWWyrbHeZoVag5OTkm8Td1FaWsrw4c/UaKPRarmQXaivO0lM3MWgQQ/j4uKsb1NWoSHrejGtfN1x\nd63ZV5w8eTxOTpU1Mq9PeYegtm3xdHNGqVRQWFhISsphBgyonIX5l4s3aOHjalCPVJ27pyu/Zubi\n6eaMl7szFWoNeUXl+vZ5hWVUqLX4mVkrUlyqJreglCB/80Y8anU6FNTdidXpdJy9lM8dgV4Ulao5\n9Z9r9O3SRl974+fnxdnzObXWqWm0WkrKNHi5O9d4TqfT8duNEn19DtSs0TG2P41GZ1AHptVWvhVN\nbZeVU0x5RWWdWRs/T/3jZeUaff1Vbd9mzmcVoFQq8HBV4e3hXGsNWl002srbcU5Ky80eotXp+PHs\nde7+QwtUTkp+vpBLCx83wju0MsilrFyDi7PSYHmJrJxiAlt4mHwPXM8rpai0Ai93Z30tU3VqTeX/\nq8AW7ni4Vb6Pk45fIvxOX3Q6aBfgVWddW9VHSfXYNFqdvtbLUYrN5YqUbcYE9hPXuo3bWfhO5QS1\nckWqJluMq8muSEVERBAREVHv7asKgJUm/kA5KZUGxbvffvsNf/zjIOD3P/Cuzk7cEVh70mvWbECl\nUpGaepxdX2/nrbdm658rKMhn375/6DtSHdtVXsnSarVG4/LycDEo1nVWORl0upp5udYahzEebio8\n3MyfNsKcom2o/OMW2rayoL25lxP9ugbVeN5Usb+TUomXu/HXRaFQGHSiwHRnqGp/N9e+17UNQGAL\nD6OPu7rU3Sky9Z64FZbsQFVRKhR0CfXT/94p2Ndou5vzVCgU+kETprRs5kbLZjU7UFVUTkpC2vz+\n/8pZ5cTD9wfXud+bY7n5d5WTbS5WXjVxsEKhQKvV4uPjwxNPPMHGjRtxdXXltddes3aIwkHUVe/0\nSvRa+nZuzUvPDzd7G2FbLNqRSk9P5+DBg5SXl/P66683aF/HjqVw+PAPFBcXs3DhMvz8/ElM3MXu\n3TvRajW88sqruLi4cObML8ycOYUHH+xPSEgomzd/RFlZKf36DWD06LFG961SVaZdVFSEt7ePwXNf\nfvk5J0+eYMqUSUyf/jaLFv0fXbp0Jy/vBqNHj2Hlyj+hVqvp1CmMadNmodPpeP/9d/nvf/+Dk5MT\nixatoKiokPfff5eKinI6duzEG2/IfwYhbMmgQYN44IEH+Otf/0pUVBQJCQmkpKQwcuRIDh8+TF5e\nnsn19oQwV11r7WmahVNa8VuNbYT9sGhHKjw8nPDwcD744IMG7Uen0+Hu7s68eX/myJFDbN26mXHj\nXiEp6R+sWxdHSUkJs2ZNZc2aDXTo0JH33luNm5sbZWWlrF0bi1arZeLEsTzzzChcXGpeZcnJuc6c\nOW+RnZ3NunVxBs89/fRILl++xJIl7wJQUFDIiBHPEhTUlrKyMtaujQUgOnoGmZkXSUu7gpOTUr+f\nyo7VCmbOfIc2bYL4859XkJHxE2FhdzXonAghLEej0RAXF6f/UlXFwvMTCyFuAw3uSO3du5ekpCQA\nunfvjkaj4ZFHHmnQPhUKBR07dgIgLOwuduzYxqVLmZw7d5Y33pgIQF7ejRrbZWT8REJCHGq1mitX\nrpCbm0NAQGCNdi1atOQvf9nITz/9m3XrVus7TVDzg9Tb25ugoLYAXL58iXXrVlFaWsrly5e4du03\nfv31v3Tt2t0g9gsXzrN8+SIASkpK6NXrAUA6UkLYiqqJg1u3bk1MTAzNmjWjZ8+eJCQk4ObmZvJq\nlK+vByoj88Q1JlusL7PFmMA+4vL0MKw19fRwtVrc9nC+bF2DO1KDBg1i0KDKeqIDBw6wY8cOnJ2d\nCQsLM7mdqZPk5eXKjz/+F39/bzIyTtKhQ3vuvbcT4eF3sWHDBgDUajUqlQoPDzd8fd3x8vLi88//\nyooVywgKCuLpp5+mRQvPGsdRq9UolUqUSiUFBa1QKLQGbbTa5jg7K/WPubio9D9v2LCLSZMm8MAD\nDzB58mSaNXOnffv2/Otf/2LkyCf/t72WDh3a8/bbb9OmTRug8ttvVXG7LbOnN25dJBdhSm0TB5sz\noXBubu3z0jUGWy28tbWYwDbjMlbvVFRcYdCmqLjMIG6ZR8r24mqyYvO+ffvSt29fs9qaOkmFhWUU\nFpbw0ktRlJaWsGDBUtRqFX37DuDZZ59HqVQSEhLK1Kkz6dkzksmTX6d//wFERvZj4sRJhISE4urq\nzvXrRTg7Gx4nOzuLxYvnoVQq0Wq1TJs2yyAWhcKd/PwiJk16jYkTX0Oj0eqf7979fhYuXMQdd9xJ\nRUUFeXklDB48gO++28fIkc+iUqlYtGgF48ZNJjp6DuXl5SiVSqKj5xm9MmZLbPGNW1+Si22SDqG4\nHdVVI1XbNsJ+WHzRYnM50h8HR8jFUfIAycVWOUpHSqY/sM2YwH7iqj79wWPTv6JXm9+Y8NKzVo/L\nVthiXKY+vyw6jjs5OZn333/fkrtskAsXzvPGGxMN/l27VnNiTyGEsLTXX59ARsZPZrc/c+YXDh36\noV7HSk8/TVTUKKKiRjFmzHMkJX1ntN2IEcPIz8+r8fjBg/vZunVTo8QmhKOz2K29a9euUVZWhre3\n7XzrDA6+gzVrNlg7DCFEE5g1axZDhw6lX79+1g4FMH+lhypnzvzMzz//xAMP9L7lY7VvH8pHH21F\nqVRy/fo1XnrpWfr3H1ijNlOhUBgdmdinz4P06fNgo8R2u6tPvZPMI2VfGtSRqj5iLzQ0FCcnJ06c\nOEFhYSFeXqYnlXSUy/zgOLk4Sh4gudyOlixZQmJiIlOnTqVbt26MHDkSDw/jE7g2lT17Enn33cVo\nNBqio+dx1113U1JSwgcf/Ilz5/6LRqNm3LgJ9OrVm/j4GMrLy0lLO8no0VG0adOG1avfR6tV4+Sk\nIjp6PsHBdxg9jqvr75OtlpWV4enpVesAl88//5QffjiARqNm8eIVBAffSWLiLn7++SemTZvFvn17\n2bQpDqXSCS8vL1atWm8Q24svjuPZZ02vXCF+JzVSjq9BHanqI/aqlJeX19mJAqmRsjWOkgdILraq\nsTuEubm5XLx4EW9vb/z8/Jg9ezarVq1q1GPWpayslISEv3LqVCrLly9iy5ZP2bJlIxERPZk9ez4F\nBQVMmDCGiIj7eeWVyfz8809MnfoWAMXFRaxbF0dgYHMSE/cSG7uOJUv+VOux0tNPs2zZIq5cucSC\nBUtrbde8uS8bN27lyy8/Z9u2rbz99v8Bv19B27w5npUr1+Hn50dRUSEqlapGbEKI31l01B7AhAkT\nLL1LIYSoU0JCAqNGjSI4uHJpm8BA64+UHTRoCABdunSjqKhIv5bnDz/sZ9u2jwGoqKggOzsLnU5n\ncNutoKCAxYvnk519GY1Gi1qtNnqMKuHh97B162ecP/8rM2a8QbduEUa/1PbrNwCAjh3DSE7ep3+8\n6tj33tuFpUvnM2DAYPr1+6P+OZmsVAjjLNaRKisrIy4ujpYtW/L8889bardCCGGWnj176jtR33//\nPf3797duQEZUlU0tXfoe7doZrmWYnn7a4Pf4+BgiIu5j0qSX+fHHX/STEdfljjvuJCioLZmZF42u\nqFC1wLuTkxKNRlPj+Zkzo0lPP82hQz8wfvyLfPTRx2YdVxgnNVKOz2Kj9g4ePIhWq7WLiSeFEI7n\n6NGj+p+PHTtmxUgq6XQ69u37BwCnTp3Ey8sbT08vevbsxeefb9e3++WXDAA8PDwoLv59ss+ioiL8\n/PwB2L17p8ljXblyWX/FKivrChcvXqBdu3b1ivvSpUzCw+9h/PiJNG/enKtXr+Lp6WkQmzDfq69O\nZ/78+be8jXSi7IfFis3bt29Pjx49OHfuHDk5ObRo0cLkto5UQOsouThKHiC53I5ycnI4dOgQANev\nX7dyNJU1Ry4uLowb94K+2Bxg7NiX+fDD9xkz5jm0Wi1t2gTx7rsf0K1bBFu3biIqahSjR0cxatRL\nLF06n08+2cR99z0A1D4KMC3tJFu3bkKlUqFSqZg1aw6ensZqVRUGP1fVRSkUv/+8fv1qMjMvotPp\niIjoSWhoB1q1CtDHJsXmlnfwx984MPVd3nhhED3v62HtcMQtstiEnPn5+cTFxaHT6Zg+fTpKpemL\nXY5UQOsIuThKHiC52KrG7hAWFBSwa9cudDodjz/+uMmpWFJSUti+fTuPPvoop0+fplevXoSFhbFx\n40ZcXV157bXXat1WJuS0zZjAfuK6eUJOgLLiPCYNCaBv70irxWUrbDGuJpmQ08fHhxkzZjBz5sw6\nO1FCCGFply9fprCwkNzcXDZv3myybc+ePQkLC8PDwwOVSkVZWRkpKSmMHDmSVq1akZdXc9JKIepj\n/fqVLFy4EKi83VtRUYHWSG3azdtU1UkJ22fxUXtCCGENmzZtIioqCpXK/I+1yMhIIiMj+ctf/kJo\naKhZI9N8fT1QqZq2FrTq2/CBAwdqrB7Rrl071qxZ06TxVI/J1thaXNXro77+Zg9rth3CydV4jM2a\ne+Dv733LNVUNYWvnq4qtxmWM1TpS9nSS6uIouThKHiC53I46dOhAx44dzWqbkZHBiRMnWL9+PQqF\nAh8fH+677z4SEhJwc3OjWbNmtW6bm9u0RdfVb3OEhXUlLq7mKDq53VjJ1uPKzS3EpWU4Ts6uRtvl\n3Shu0vht/XzZElOfw3JFSgjhEI4cOUJKSgouLi4AfPjhh7W2DQsLIyYmpsbj06ZNa7T4hBCOSTpS\nQgiHsHLlSs6ePUvnzp3JysqydjhCADKP1O1AOlJCCIewfPlynJ2d6dy5MzExMSxYsMDaIQkha+3d\nBqQjJYRwCB4eHvj4+ADg5uZWR2shhLCMOucpiI6OJjIykmHDhtXaZsmSJTz00EM8/vjjpKenWzRA\nIYQwh6+vL6mpqaxYsUI/uaQQQjS2Oq9IDR8+nBdffJG3337b6PPJycmcP3+e7777jlOnTrFgwQI+\n++wziwcqhBCmTJ48mbNnz6LT6QgNDbV2OEIAUiN1O6izIxUREUFmZmatzyclJfHUU5XLBXTp0oX8\n/HyuXbuGn5+f0fZHjx6lW7fuTT6EuLH4+no4RC6OkgdILrbq44/jcHV1ZdKkSXzwwQcoFAqmTZtm\nsQl8p0+v/KNTWloKwPr16y2yXyEaQmqkHF+Da6SuXr1KYGCg/vfAwECysrJq7UidPHmS++67r6GH\ntRlNPTFfY3GUPEBysVUjR47k8OHDZGRk0Lt3b6ByPqfw8HCL7H/lyspv8Tqdjk2bNllkn0IIUReL\nFJvfPBuwqfoEqV0QQjSGM2fOoFAoUKvVnDlzxtrhCCFuEw3uSLVq1cpgzpasrCwCAgJqbd+1a1fu\nvPNOfv3114Ye2mY4yszTjpIHSC626IMP4nFzcyMsLIzVq1ejUCh48803Lbb/PXv2AODi4sJLL71k\nsf0K0RBSI+X46uxI7d+/n4ULF5KdnU1sbCwTJkwweL5nz54sXryY2NhYCgsLUSgUtd7Wg8qaK2j6\nJQ0aiy1OZV8fjpIHSC62qvqs4VX1TJZ0zz336H/OysoiKyuL/v37G2175MgRPv30U6ZMmcKuXbvw\n8fHhiSeeYOPGjbi6uvLaa69ZPD5xe5IaKcdnsiOl0Wh48803cXd3R6fTsXr1ajQaDb6+vgA899xz\nnDt3jtatW1NYWIibmxtZWVmo1epbWjhUCCEaaseOHXTv3h2FQsHx48cZNGhQrW3vv/9+Tp06xfff\nf8/kyZNJSEggJSVFX8eVl5dncr09IYSoYrK3k5aWRvfu3fnoo48AiI2NBSo7UFX8/f3p2rUr8+fP\n5+LFi7z88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xcvJj4+nt27d7N7927Onj3bVIdvMJVKxezZs9m9ezeffvopn3zyCWfPniU2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\nL4VoaPYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f91f0578ed0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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hjRyVcK8pqZEyY9IQQNRINRVVJlLe3t5cv37d9HdFPfJOnDjBpEmTAAgKCiIg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\n2LFjg8USHh6OVqtl7dq1yGQ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eyyJiWxw3Kii8PvJ3Ckf+TiHEx5EZ4QcAWP3zKR55sFmF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"text": [
"<matplotlib.figure.Figure at 0x7f91ef80c2d0>"
]
}
],
"prompt_number": 34
}
],
"metadata": {}
}
]
}
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