{ "metadata": { "name": "", "signature": "sha256:5f1041c0e3a919103b585018f4cf85540806d5beae04452df8b40cd96e4fd2fb" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "1. Exoplanet characterisation based on a single light curve" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a first part of a set of tutorials covering (Bayesian) exoplanet characterisation using wide-band photometry (transit light curves), radial velocities, and, later, transmission spectroscopy. The tutorials use freely available open source tools built around the scientific python ecosystem.\n", "\n", "The tutorials are mainly targeted to graduate students working in exoplanet characterisation with already some experience of Python, Bayesian statistics. Even then, older grad-students and young postdocs might hopefully find these useful as well.\n", "\n", "The whole set of tutorials will be available from the [Stars & Planets @ Oxford (SPLOX)](http://splox.net/) site and [github](https://github.com/hpparvi/exo_tutorials), and the latest version of this tutorial can also be read online using [nbviewer](http://nbviewer.ipython.org/github/hpparvi/exo_tutorials/blob/master/01_broadband_parameter_estimation.ipynb)." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Prerequisites" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial requires the basic Python packages for scientific computing and data analysis\n", "- NumPy, SciPy, IPython, PyFITS, pandas, matplotlib, and [seaborn](http://stanford.edu/~mwaskom/software/seaborn/)\n", "\n", "*Note:* The current Seaborn development version (0.16) fails to reproduce the plots without some tweaking, you'd better stick with the stable 0.15 for now.\n", "\n", "The MCMC sampling requires the [*emcee*](https://github.com/dfm/emcee) and [acor](https://github.com/dfm/acor) packages by D. Foreman-Mackey. These can either be installed from github or from [PyPI](https://pypi.python.org/pypi).\n", "\n", "And the rest of the analysis requires the [PyTransit](https://github.com/hpparvi/PyTransit), [PyExoTK](https://github.com/hpparvi/PyExoTK) and [PyDE](https://github.com/hpparvi/PyDE) by the author. These three can be installed easily from github. First ``cd`` into the directory you want to clone the code, and then\n", "\n", " git clone https://github.com/hpparvi/PyDE.git; cd PyDE \n", " python setup.py config_fc --fcompiler=gnu95 --opt=\"-Ofast\" --f90flags=\"-cpp -fopenmp\" build\n", " python setup.py install --user; cd -\n", "\n", " git clone https://github.com/hpparvi/PyTransit.git; cd PyTransit\n", " python setup.py config_fc --fcompiler=gnu95 --opt=\"-Ofast\" --f90flags=\"-cpp -fopenmp\" build\n", " python setup.py install --user; cd -\n", " \n", " git clone https://github.com/hpparvi/PyExoTK.git; cd PyExoTK\n", " python setup.py config_fc --fcompiler=gnu95 --opt=\"-Ofast\" --f90flags=\"-cpp -fopenmp\" build\n", " python setup.py install --user; cd -\n", " \n", "Assuming you have GFortran as your default Fortran compiler and have GCC >= 4.8. If not, you may need to change the ``-Ofast`` optimization flag to ``-O3``.\n", "\n", "What comes to assumed prior knowledge, well... I assume you already know a bit about Bayesian statistics (I'll start with a very rough overview of the basics of Bayesian parameter estimation, though), Python (and especially the scientific packages), have a rough idea of MCMC sampling (and how *emcee* works), and, especially, have the grasp of basic concepts of exoplanets, transits, and photometry." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Bayesian parameter estimation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This first tutorial covers the simple case of an exoplanet system characterisation based on a single photometric timeseries of an exoplanet transit (transit light curve). The system characterisation is a *parameter estimation* problem, where we assume we have an adequate model to describe the observations, and we want to infer the model parameters with their uncertainties.\n", "\n", "We take a [*Bayesian*](http://en.wikipedia.org/wiki/Bayesian_probability) approach to the parameter estimation, where we want to estimate the [*posterior probability*](http://en.wikipedia.org/wiki/Posterior_probability) for the model parameters given their [*prior probabilities*](http://en.wikipedia.org/wiki/Prior_probability) and a set of observations. The posterior probability density given a parameter vector $\\theta$ and observational data $D$ is described by the [*Bayes' theorem*](http://en.wikipedia.org/wiki/Bayes%27_theorem) as\n", "\n", "$$\n", "P(\\theta|D) = \\frac{P(\\theta) P(D|\\theta)}{P(D)}, \\qquad P(D|\\theta) = \\prod P(D_i|\\theta),\n", "$$\n", "\n", "where $P(\\theta)$ is the prior, $P(D|\\theta)$ is the [*likelihood*](http://en.wikipedia.org/wiki/Likelihood_function) for the data, and $P(D)$ is a [*normalising factor*](http://en.wikipedia.org/wiki/Marginal_likelihood) we don't need to bother with during MCMC-based parameter estimation. \n", "\n", "The likelihood is a product of individual observation probabilities, and has the unfortunate tendency to end up being either very small or very big. This causes computational headaches, and it is better to work with log probabilities instead, so that\n", "\n", "$$\n", "\\log P(\\theta|D) = \\log P(\\theta) + \\log P(D|\\theta), \\qquad \\log P(D|\\theta) = \\sum \\log P(D_i|\\theta)\n", "$$\n", "\n", "where we have omitted the $P(D)$ term from the posterior density.\n", "\n", "Now we still need to decide our likelihood density. If we can assume normally distributed white noise--that is, the errors in the observations are independent and identically distributed--we end up with a log likelihood function\n", "\n", "$$\n", " \\log P(D|\\theta) = -N\\log(\\sigma) -\\frac{N\\log 2\\pi}{2} - \\sum_{i=0}^N \\frac{(o_i-m_i)^2}{2\\sigma^2},\n", "$$\n", "\n", "where $N$ is the number of datapoints, $\\sigma$ is the white noise standard deviation, $o$ is the observed data, and $m$ is the model. \n", "\n", "*Note:* Unfortunately, the noise is rarely white, but contains systematic components from instrumental and astrophysical sources that should be accounted for by the noise model for robust parameter estimation. This, however, goes beyond a basic tutorial." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Implementation" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Initialisation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline \n", "\n", "import math as mt\n", "import pyfits as pf\n", "import seaborn as sb\n", "import pandas as pd\n", "\n", "from os.path import join\n", "from IPython.display import HTML\n", "from IPython.html.widgets import IntProgressWidget, FloatProgressWidget\n", "\n", "from pytransit.orbits_f import orbits as of\n", "from pytransit import MandelAgol as MA\n", "\n", "from exotk.de import DiffEvol\n", "from exotk.priors import PriorSet, UP, NP, JP\n", "from exotk.utils.orbits import as_from_rhop\n", "from exotk.utils.likelihood import ll_normal_es\n", "\n", "from emcee import EnsembleSampler\n", "cp = sb.color_palette()\n", "\n", "random.seed(0)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Log posterior function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The log posterior function is the workhorse of the analysis. I implement it as a callable class that stores the observation data and the priors, and contains the methods to calculate the model and to evaluate the log posterior probability density." ] }, { "cell_type": "code", "collapsed": false, "input": [ "class LPFunction(object):\n", " \"\"\"A simple log posterior function class.\n", " \"\"\"\n", " def __init__(self, time, flux, nthreads=2):\n", " self.tm = MA(lerp=True, klims=(0.08,0.13), nthr=nthreads) \n", " self.nthr = nthreads\n", "\n", " self.time = time.copy()\n", " self.flux_o = flux.copy()\n", " self.npt = flux.size\n", " self._wrk_lc = zeros_like(time) # These two work arrays are actually rather pointless\n", " self._wrk_ld = zeros(2) #\n", " \n", " self.priors = [NP( 1.01, 0.02, 'tc'), ## 0 - Transit centre\n", " NP( 2.50, 0.01, 'p'), ## 1 - Period\n", " JP( 0.007, 0.015, 'k2'), ## 2 - planet-star area ratio\n", " NP( 1.50, 0.1, 'rho'), ## 3 - Stellar density\n", " UP( 0, 0.99, 'b'), ## 4 - Impact parameter\n", " UP( 1e-4, 15e-4, 'e'), ## 5 - White noise std\n", " NP( 1.0, 0.01, 'c'), ## 6 - Baseline constant\n", " UP( 0, 1.0, 'q1'), ## 7 - limb darkening q1\n", " UP( 0, 1.0, 'q2')] ## 8 - limb darkening q2\n", " self.ps = PriorSet(self.priors)\n", " \n", " \n", " def compute_baseline(self, pv):\n", " \"\"\"Simple constant baseline model\"\"\"\n", " self._wrk_lc.fill(pv[6])\n", " return self._wrk_lc\n", "\n", " \n", " def compute_transit(self, pv):\n", " \"\"\"Transit model\"\"\"\n", " _a = as_from_rhop(pv[3], pv[1]) # Scaled semi-major axis from stellar density and orbital period\n", " _i = mt.acos(pv[4]/_a) # Inclination from impact parameter and semi-major axis\n", " _k = mt.sqrt(pv[2]) # Radius ratio from area ratio\n", " \n", " a,b = mt.sqrt(pv[7]), 2*pv[8]\n", " self._wrk_ld[:] = a*b, a*(1.-b) # Quadratic limb darkening coefficients\n", " \n", " return self.tm.evaluate(self.time, _k, self._wrk_ld, pv[0], pv[1], _a, _i)\n", "\n", " \n", " def compute_lc_model(self, pv):\n", " \"\"\"Combined baseline and transit model\"\"\"\n", " return self.compute_baseline(pv) * self.compute_transit(pv)\n", "\n", "\n", " def __call__(self, pv):\n", " \"\"\"Log posterior density\"\"\"\n", " if any(pv < self.ps.pmins) or any(pv>self.ps.pmaxs):\n", " return -inf\n", " flux_m = self.compute_lc_model(pv)\n", " return self.ps.c_log_prior(pv) + ll_normal_es(self.flux_o, flux_m, pv[5])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Priors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The priors are contained in a list and a ``PriorSet`` object from ``exotk.priors``. The latter is a utility class containing a function for calculating the joint prior, etc. We're using three very basic priors: a normal prior ``NP``, for which $x \\sim N(\\mu,\\sigma)$, a uniform prior ``UP``, for which $x \\sim U(a,b)$, and a Jeffreys' prior ``JP``.\n", "\n", "We could use an informative prior on the planet-star area ratio (squared radius ratio) that we base on the observed NIR transit depth (see below). This is justified since the limb darkening, which affects the observed transit depth, is sufficiently weak in NIR. We would either need to use significantly wider informative prior, or an uninformative one, if we didn't have NIR data." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model has two components: a multiplicative constant baseline, and a transit shape modelled using the quadratic Mandel & Agol transit model implemented in ``PyTransit``. The sampling parameterisation is different than the parameterisation used by the transit model, so we need to map the parameters from the sampling space to the model space. Also, we're keeping things simple and assuming a circular orbit. Eccentric orbits will be considered in later tutorials. " ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Limb darkening" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **limb darkening** uses the parameterisation by [Kipping (2013, MNRAS, 435(3), 2152\u20132160)](http://mnras.oxfordjournals.org/content/435/3/2152), where the quadratic limb darkening coefficients $u$ and $v$ are mapped from sampling parameters $q_1$ and $q_2$ as\n", "\n", "$$\n", "u = 2\\sqrt{q_1}q_2,\n", "$$\n", "\n", "$$\n", "v = \\sqrt{q_1}(1-2q_2).\n", "$$\n", "\n", "This parameterisation allows us to use uniform priors from 0 to 1 to cover the whole physically sensible $(u,v)$-space." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Log likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *log likelihood* calculation is carried out by the ``ll_normal_es`` function from ``exotk.utils.likelihood``. The routine is implemented in Fortran for efficiency, and evaluates the normal log likelihood given a single error value (the module also contains a function ``ll_normal_ev`` that takes an error estimate for each point, this will be used in a later tutorial)." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Read in the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we need to read in the (mock) observation data stored in ``obs_data.fits``. The data corresponds to a single transit observed simultaneously in eight passbands (filters). The photometry is saved in extension 1 as a binary table, and we want to read the mid-exposure times and flux values corresponding to different passbands. The time is stored in the ``time`` column, and fluxes are stored in the ``f_wn_*`` columns, where ``*`` is the filter name." ] }, { "cell_type": "code", "collapsed": false, "input": [ "data = pf.getdata(join('data','obs_data.fits'), ext=1)\n", "\n", "flux_keys = [n for n in data.names if 'f_wn' in n]\n", "filter_names = [k.split('_')[-1] for k in flux_keys]\n", "\n", "time = data['time']\n", "fluxes = [data[k] for k in flux_keys]\n", "\n", "print 'Filter names: ' + ', '.join(filter_names)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Filter names: u, g, r, i, z, J2, H2, Ks\n" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's have a quick look at our data, and plot the blue- and redmost passbands. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " fig, axs = subplots(1,2, figsize=(13,5), sharey=True)\n", " axs[0].plot(time,fluxes[0], drawstyle='steps-mid', c=cp[0])\n", " axs[1].plot(time,fluxes[-1], drawstyle='steps-mid', c=cp[2])\n", " setp(axs, xlim=time[[0,-1]])\n", " fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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OvfuPMntkruihSJIkKXHm0GFO7ruV1Xl/2mt9zQLQKeDpzO1nkm1Zp0gCyxDC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\nzOLxE4zv2M7WPbsLGUP6Pmf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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see what we'd expect to see. The stronger limb darkening in blue makes the bluemost transit round, while we can spot the end of ingress and the beginning of egress directly by eye from the redmost light curve. Also, the transit is deeper in *u'* than in *Ks*, which tells that the impact parameter *b* is smallish (the transit would be deeper in red than in blue for large *b*)." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Basic parameter estimation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we create an instance of the log posterior function (we feed it with the redmost light curve), and initialise the *DE* optimiser and the *emcee* sampler." ] }, { "cell_type": "code", "collapsed": false, "input": [ "npop, de_iter, mc_iter = 100, 200, 2500\n", "lpf = LPFunction(time, fluxes[-1])\n", "de = DiffEvol(lpf, lpf.ps.bounds, npop, maximize=True)\n", "sampler = EnsembleSampler(npop, lpf.ps.ndim, lpf)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we run the *DE* optimiser for ``de_iter`` iterations to clump the parameter vector population close to the global posterior maximum, use the *DE* population to initialise the *emcee* sampler, and run the sampler for ``mc_iter`` iterations to obtain a posterior sample. The MCMC will take a bit of time..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "pb = IntProgressWidget(max=mc_iter/50)\n", "display(pb)\n", "\n", "de.optimize(de_iter);\n", "for i,c in enumerate(sampler.sample(de.population, iterations=mc_iter)):\n", " if i%50 == 0:\n", " pb.value += 1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Analysis: overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MCMC chains are now stored in ``sampler.chain``. Let's first have a look into how the chain populations evolved to see if we have any problems with our setup, whether we have converged to sample the true posterior distribution, and, if so, what was the burn-in time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " fig, axs = subplots(2,4, figsize=(13,5), sharex=True)\n", " ls, lc = ['-','--','--'], ['k', '0.5', '0.5']\n", " percs = [percentile(sampler.chain[:,:,i], [50,16,84], 0) for i in range(8)]\n", " [axs.flat[i].plot(sampler.chain[:,:,i].T, 'k', alpha=0.01) for i in range(8)]\n", " [[axs.flat[i].plot(percs[i][j], c=lc[j], ls=ls[j]) for j in range(3)] for i in range(8)]\n", " setp(axs, yticks=[], xlim=[0,mc_iter])\n", " fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qLmU2BqZKXA0qn0M+egDzE6VT8iDQf06fenp6oo4xilf7Vk1BqsJWJlPDAuj1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\nPWtXrlypGqy+ceNGsCcAdc4zIFBPPz/++OPEq+zgeU/Pnj2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7UqmEpFq9wPBOqOnXsFAi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\n7Rrr0n2bpVyI7Nu3r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JJRoc8K5WvMiA0bNgzXXHMN7HZ7vXMjrVZvd8qSkhKhmwcGBgql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2yKrzqJ95j1K5F5UzBKBgXl7vEsujWJC70kZJ+/7UMixcbrqHFaXooDLmWX8f+87z4KNahpoD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2vXrsXEiRMRDofhdruRk5ODhx9+GO+++y6OPfZYXHLJJYa222w2vPHGG3jiiSfg8/lwwQUX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Mi+QMiA0DR44cUUdHR0ge9eSTT4Z7R48eVXt7u9auXRs8rtlsNiTAGxsb09DQ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\naDRq6CPzhSagdQStyT8ycDgudGv97S3mtzxbN9pyx6qxHC5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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, everything looks good. The 16th, 50th and 84th percentiles of the parameter vector population stabilise rapidly, and they don't show any significant long-term trends.\n", "\n", "Next, we want to check the mean autocorrelation length for each parameter in order to decide a suitable MCMC chain *thinning factor*. This needs to be done because the consecutive MCMC samples are correlated, and we want a set of independent samples. The *emcee* sampler offers a method for this if the ``acor`` module is installed." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sampler.acor.astype(np.int)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "array([69, 55, 68, 64, 68, 64, 61, 75, 79])" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can select a thinning factor of 75 and a burn-in time of 400 based on visual inspection of the chain population and the estimated autocorrelation length. Note that this isn't a very rigorous way of selecting these values, and you well might want to do some additional tests for a more serious analysis. \n", "\n", "With the thinning and burn-in values set, we can also flatten the chains, and calculate the median parameter vector." ] }, { "cell_type": "code", "collapsed": false, "input": [ "thin = 75\n", "burn = 400\n", "\n", "fc = sampler.chain[:,burn::thin,:].reshape([-1,sampler.chain.shape[-1]])\n", "mp = median(fc, 0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " fig, axs = subplots(2,4, figsize=(13,5), sharex=True)\n", " percs = [percentile(sampler.chain[:,burn::thin,i], [50,16,84], 0) for i in range(8)]\n", " [axs.flat[i].plot(sampler.chain[:,burn::thin,i].T, 'k', alpha=0.03) for i in range(8)]\n", " [[axs.flat[i].plot(percs[i][j], 'k') for j in range(3)] for i in range(8)]\n", " setp(axs, yticks=[])\n", " fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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38Rfq/m6r/+xOf2OSdPrOXAzoXNctVvYHq7ovbWEh+XkF+0tsKMtCxRrzj3ex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nw5nnzySQwbNgxPPvkkkpOTJaE4evQoNm/ejJ07d8r99erVC3369EG3bt0wcOBAKYC2WCzQ6/XS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\n3X333SouLtaaNWu0fv16bdiwQQsXLtTChQuVmJiokSNH6pxzztGgQYPU2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HkYE88vVyOeAkNqmCkB+QDZAZAHH2BMQ1cm57tkkBUAx+YuZZHEkhHnrjxo0hRtsV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\nAhpjPQloN++N637nyyWgq0EUMYww8vb2RXYxFXQ5Kt96GDXtRiq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8Pu+Ky3B+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NJLddNNN2nTpk3OeUBqTalU0tDQkG644QYdeOCB6zDjWoPv+GqV1EgL9ou1d6JqBLBGEiXE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\nlED2OuvQ5R/1BdivbK4kBAWFe3Z21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Eaj0o8gvj49viGOlnpT7UCQnpCQIB1lCZwJSNk7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\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36tlnn9Xu3buVnp6u6667TkcccYQdvzF79mzdfffd+vTTTzVx4kTddtttyszMtDHetm2b\npkyZorCwMN1xxx3q06ePSfovv/xyHXPMMZo/f75Wr16tzZs3a/z48ZJkgcPBgwdVVFRkXVe7deum\nQYMGqVevXmZPUQSgKECy9/bbb2vJkiWqr69Xp06ddOONN6p79+4qLy8PAe2RkZF2HjCqjiuvvFIn\nnnii4uPj1bFjR8sqI0usrKxUXl6eoqKilJqaqjPOOEMjR47U448/rpUrV2rs2LHas2fP/8qe+ndd\nPrssycAV53fy52AwqLS0NJPaErQg+ywpKZHUBPjKysqUn59vYA71CYEC+46ABQAFy19fX6/8/Hyr\nD/QyyuLiYlvXkMQEJdhYngNQ6DMeBEg0x/N1k9R58XmkboBOD5jq6urM56SlpdmxPRw9BhDD3xCE\neZYfX4DaAak4Y1NVVWUNEPEJBOvx8fGWhcW3AwrBM+AcgjFf5kKGk9rVxsYmCS31rQT9PgPEvVgn\n2GOOn4FMpBkXQBw/7tVNAGvktgkJCcrNzVVERITVFTPuPmhlHHhfbDvBLWd/gwOCwaCCwaACgYDa\ntWsXchbtoQR2/9nlM6AtJa9eUumDm5aZTcabPeAzjy2DN37mL/9zsA0lM3yfD4z9vPhgyweV/mfM\nLYQi78Z9Pc7za8ArN3wGEkwPpuKdwLBgYi4fGHsZMWVtPnhmfxF0+SwnPyP4wmZgZ3xgypz5HgaM\nEzi7JYnAmiZw53vIFPvspdQsB8bugv8hCD1el2QBoFdBMud+TsD3PntKQoQkD88HRgJz8VnmsuUa\n5328bPnXun5RAOpT/kjkeEFqQJGd4SgwhkwEhhLHwoJjYAKBgNVr+S6bUrOEIT093TouYhQjIyOt\niQZOTpJJd5DltGz6EBERYcy/77zFs9N1jpoV33HLbxSyj0j40Lb7xiCMla/hImuKJMg3UcGR8/5k\nDmmFn5GRESLRamhoMKkWG4EsJUEui9XrzznXFEeM4w0PD1dycrJl1AASPujliBlJIZuVjUGnU0n2\nXQAD5gICwctCS0pKQr6HefGZhKqqKgtIafnPd5SWltr44Pj9eGIEYN4AezT+KC0tVVZWljVcONSv\n5cuXa+nSpQoPD1fXrl3Vt29fO0dw9erVWrduna354447TqeffrpOOOGEkGY8aWlpFliEhzc16OAs\n2GOOOUbDhw+3YCApKUlpaWm213zNI82GYBFLSkoM/NFwpEuXLsrKytL555+vyspKbd++Xccdd5wC\ngYDJSzCyAKyoqCg98MADeuihh/Tpp5/qkUce0cyZM7V3715NnTpV+fn5at++va688kr16NHDMhGt\nWrXS0Ucfrd69eyssLEzffPONVq1aZRly6qU9QP/qq6/0l7/8RQsXLlTv3r01bNgwDRw40Iy8tzG+\ncYO3iXFxcZZxgXjLy8tTcnKyGhoa9MUXX2jt2rXavHmztm3bprCwMA0bNkxjxoyxTArHAgUCAd17\n772aMmWKPvnkEz3wwAO65557FAgE9Mknn2j27NmKiorSDTfcoL59+xp7nJSUZOeqTpo0SZ999pme\nffZZzZw585+upZiYGP34449asmSJevbsqdGjR+vkk0+2mnGUFdRxVldXKzs7W5dccon69OljBJ4H\nS+x79re3V3QAj4qKskwbgQMsdUNDg2XyoqKidO+992rz5s3Kysr6399c/8ML+wXzTZBCVpzgz5Nw\n3g6zPlNSUozUQCqNOsY3CZOaG/u0bFgCock4ct4qvioYDJr8Ni4uTj/++KM10PF1o5DF+AR8qs9C\nQJjW1zf1a6A8QpLVVgNysfPMs8/E+eNmOOsXpVF5ebkRG5A6ZO4Zb8Ae2VeIsvDwcAOySUlJOnjw\noJ0/jZ/xGQ32OH6VoB7/hS8mQMTnACD9PvBZrMjIpoZiEA2MJdmtxsamc2DZH9gpfB3+HPAK+CUY\nhfCKj49Xfn6+JFnzoYiICCMsg8GgHZ1FwyUytB4Qt+x8DNnN0XTM7X9K/aeXS2KTwDGsST7HuvEZ\nTN80iDUnNWfG+LvPnBPQ+73J5TPW/rgivx5ZZ2S1peZup6xz+j/ExcWZnN8r93gusoAoKoxpPQAA\nIABJREFUE7AvBIQkIsgy+gSRx8I8c8uglPf1MnswoW9qJzX3QWCf+t4T7EmwAe8BIeol9RBNYD6/\nHsnscz8/FmBISrb82mAOfODulQJgRy+H53cJiil3wK/5MgsCbsabLDL39so8bABrhTlAReHXJvPh\nA2fmgzH8ta5fdPeEhAR7wYKCAqWnp1uQCMjnP4p5cQq+GxvGG0kq8iEMLWxGS+kkrCbyMZyPPx4A\n6VBiYqKKiopC5Kd+4dTW1lpjAR8AIS/k/E6CJRwfNalSc0BUX99UowprzMV7IRn192I8JFm9IhuJ\nmhcWNNlCGBoWFEDQzwtNH2CCIAOqq6tVUlKixMREy4oShBIo8Iy+WyJt8XGejY2N1rqbzQaLC0Ne\nVlamwsJCAzL+/DKpKSNJdsM7ZtaGz5YgMYTdp943OTlZ+fn5Jg/Ly8uzGjW6EAJya2pqlJKSYo0W\nWAP+CAzqTIuLi1VVVWUBKWN9qF+33HKLvv/+e3399df629/+pm+++Sbk54cddpjOOOMMO1IoKytL\ncXFxCgaDSk9PNwNYX19vdVXUejU2Nh0xsm/fPjOOHmiSHaMTNsEoDhzAiPNgr/JdHTt21BFHHCGp\nmdziZ7W1tZZJiIlpOs/2pptuUmpqqt5//32NHz/e5F+jRo3SgAEDlJSUZN0pIyMj7ZlqamqUmZmp\nCy+8UIMHD7ajW7AvZWVlatu2rY488kgdPHhQ8+bN08cff2y1q3FxcRo4cKC6desmqVmKRdaFJj+o\nCHCE1Fj/9NNPWrlypXbs2KEtW7aYXFmSjjrqKN11110GGNl/HJGDmuGaa65RbGysPvjgA02aNEkj\nR47U888/r7i4OD366KOmsPBsNWu7pqbGygzef/991dfXq1WrVsrMzFRaWpratm2r+vp6tW3bVqtX\nr9brr7+uLVu26NZbb1UgENCwYcN0/PHHa+3atXr33XdVVlam1NRUjR07VkOGDDHAzbogSPd1ObDB\nfh8id0xKStK+fftMFulLGlBxIDOiy3qHDh3+1/fWv+MCKAB0AKDIXyFpkbNSRgEhCZmADBciDaDC\nGidLSuBAtgNS1BOD2D8f0OKTUlNTlZGRob1799rzeSlwfHy8gbv6+nrzOQQvBFpIMQlUJVlNJmAL\nP4Qfh/T15DLvCeBLTk5Wenq6NcIBgHF8CaAT8PfII49owYIFuvzyy43g8fs3MzPTGi0xRhDEvtET\nzwIhi/rCl4l4OZ23Bxx71KZNm5A9gAooGAxadru2ttbOI4ccZm4lGdnAWaSFhYU2x3QrhsDFlzFv\nkFMoOCirIKPtj/SBSOJsUUgkHyhTcpCdnW3ZJsj4/4QsqA8y2J++1pfPQCL6LJxfF9TGtpRHS/8o\nw/XZw5bZUJ9l9+PnA0D2jU9QeJvqFYQFBQVWkuXL5jz2wt/68i4SIi0zxPhlT6R45RrJCcbPB/ck\nR0im+DEGK/AM/l2oLSbxAEYkSPUKC/Aae5iglKtlptUHi95OMy+e3PF/RjXIu3N50skHh9gbrxLz\nGXd/L8ab8fEZYU8CEbP4bD33BL9S690y2D4U9uUvCkAxMmFhTefblZeXKzMz05wQzGFSUpKxKnSI\nBJQGAgEziImJiSZbQfZHp0gOw0YGVFtba0CZQIu6EpwJm4GBZ4JJicMM4ZRJ2UtNm42OqVITK0T2\nyzfiIXCidiUmJsbS6rTuZtJhaCsqKgzwc/4nwTOMqk/lwxxTPwbzyPcTsDY0NNhG9l2Iqd/09T/I\nltLS0pSZmRkiq/Ld7xISErRv3z7V19cboMSwAZCoF8Fg0P2stLQ0pNEKRhqGHYdNIwNACcYEUEQz\nJjYgAMN3+GIzeQkoz8Ez8m+eEaLz3759+xQZGRnSgjwlJSUE7CKZjI2NVUpKyr9hu/3vXV27dtXQ\noUNVVlam0tJS7dixQ1999ZXq6+t10kknqXPnzlbTVFfXdIwCbC0GsLi42OTOwWDQxpW9g2yL9Q5B\nxBzigJkHQBkNUiorKw0YQTj4o1hwLmQwqC3myAeMenJysi677DJlZWXpz3/+szp37qyHH35Yqamp\n2rFjR4gkhkwBkl7WPfvWy94zMjKMcImNjdXgwYM1cOBAVVdXa+3atVq0aFFIPez/5EpPT9eQIUPU\np08fde3aVb169VJUVJQ2bdpk4JUGI+zF9PR05ebmasSIEcrKytKLL76o5557TgkJCXr44Yd1zDHH\nSJIBFMCsZ6ilpiY/V199tdkgScYuHzx4UNXV1TrppJPUq1cvHThwQIsXL9bHH3+sV199Va+++qqk\npgBn5MiROvPMM5Wenm5kld/7ZOfIkpDN9VmzxsZGk50SOJMVJDCB3IyIiLC6VdYUDVsO5Qub3djY\naB2aIfICgYD27dtn2WXeB0DCHJaVlZmiA4UH4BH7yndg130XYy/74rvJEpJBAxj6wMzXMJIVxQfy\nnWFhYUpJSVFubq75EYJr7C72HXuBTffNViApkKey7rHRECl1dc3nqfpMOyCMMaqvb2ryd9ddd2n9\n+vWKiIjQc889p7fffls333yzBg0aFFKjjb1LTU21YJrmih6MMr70goAo8TaF2ljwSlxc01mw2B+k\nw0giCeZjY2MtgMGOojRB5QWhQBlSfHy8NRyEcEamRxYVchsFGYQc5G5paakFGygvIiIirEkiPpWs\nG2sTW5uQkGDlRthbv44P5cvLWT1WIJuIPUUJJsnkliRgsK0tAyd/D989l/X0zwJ01rMPGjypyLpi\nblmT3JdgpLi42Mgs9ppvGuR9IjaADJ5XT/C9PqPH/wlmGTeCVJ8p5/cJxLxtZ9yk5uAwMTHRCHEC\nKt4Tggj8zLt5CTTjxZhAHPFvYE4/RwSMPvHFe4KT+F7ekUZfHg81NjbaMXcka3gO4hPGiXvyTMRS\nvB9jQ9kYcyOFZo/9OsKWMs48r39X1uGvff3iDCjsJplO2H/YboISpLRkLcgGYmwjI5vOJvQFtmRL\nk5OTDYzU1NRY0Ia8jWfwRsE35KDGIzk5OaSREI4mPT1drVq10rfffquIiAjl5ORYpiw1NVUHDhxQ\nbGys2rdvb5MoNUtsyHqyYEij+6YobGqa97AwWYgwqzgUQDBBpmfJCBAJDqjDwKHwOcAb9SHI2WAt\nq6urTQYFcxwZGWlyV5pGMI+8u2ebAATekBGYAEJxZATBAGmAgyckwsLCLODFsAA+caCcn8ZmR94N\nW42kjE0bHR2t1NRUy8KSlQVc+CYJgC7qa/h+wBog7lC/MDj8uVOnTjryyCOtEyaSP4BvY2OjNYSC\n8WO+qcMjaMAIc5YqGS7AW1hYmM0B5/MxZoAlfo96a4AThpxmY+yD1NRUNTY2GtBOTk7WgQMHzHjH\nx8dr6NChOuOMM5SamqrWrVtr165dls3GJtBUikwqcmGUBRhtiKyoqCgFg0GTQOLkxowZo9/97nda\nv3699u3bZ5m5xMRE5eXlqbi42AA3jp/AKzc317Ik3bt3V9++fdW1a1cL1rwSISEhwSRs7FmyGF4K\nfsYZZ+iwww7TwoULNX78eHXp0sVk+YCI6Oho60SNMyMghUyCuGON+CNlUlJSlJaWpg4dOmjkyJHa\ntGmT1qxZo0AgoIEDB6pjx46SmvxCRkaGgQDsEOA1NjbWZH6AcbLWpaWlIUdVABBYQ74eCptQUVFh\nknsvpzpUL+aCmkMCqfT0dCPsyBqUlJTY3yEvAR3sZY7X4rup98RGsk4g+w4ePGhqFMbXB1sE/2Qn\nICvJRAO2c3JylJqaajJLpNQEtWR1eV6CQbKaBKzUqEJuQlSwHvk3VD6SQrKkEJiQJj6bAZCLiorS\n7t27NW7cOO3du1fDhg3TU089pSeeeEJPP/207r77bs2fP1+jR49WdHS02SepaR0yDwkJCSH1zryf\nr0P1wTU12WAlZImQWhEREVq3bp3+8Ic/6PDDD9ftt99uR0UBcgkSy8vLVVlZqZSUFGvG5aXs7DV8\nsC9VQS1WX1+v7du3a8uWLda5u2PHjlYOk5OTow4dOhgY98QPgBolBxgJW1paWmoNHFEoRUVFKRAI\nqLS0VEVFRXZU1qF88e7YEsqMPFHG/LDGucA1XhYr/XyWqaW8FGXYzwUC4FuPL31Ax/eDfwkAWSNh\nYWEmjcbfYkvBr/g/VGXgVcYENYQPDlnzPrtIRp17+TpZjyPLysqs0zckqw9KfSDss6AoG/FVPBt2\nlPFmf0ICUcqFPWQewbhe3cBYgnV5Nh/gEVtgm3gH/Dj3oezP14Tzc+wIuJ3v9uQBxAefQUrtpbrY\nHRob+XXEc/vsNP/ux+FQ2Je/KABlEoqKipSammpAFWDLoo+NjVVGRoY5V4JLJCIsKCSWvpbCsycE\nR9Qp8HepmbHH6dL0huAnNjZWmZmZysvLM2eFY8OJ8bk2bdrowIEDdqZoSUmJZQoLCgpssbM4W040\nsiMMMAw1ANbLXMnE8HnPhsFGM9bUhXjWkWCa4A7ZAQAD44aBIAMpycaHRQlYocYKSSALuqioyGpr\nvCyMRc9cerbKy5R4Dy8NgrnzXdMI+AAlsPqe0aYmBeMJIMVwMg4YMC8pkWTneTIu/Jx1WVtba+fS\nYQx8x8FfWyv/ry4C5szMTBUVFWnPnj0m2eOoj5bOh0DANyABYEjNNWNebhQREWHjiFQL8Mc+oL7X\nkxSsFYAKz5Kenm5MOoEIzbEIbBMTExUbG6vc3Fxbw6wXABlA17OTZFkAVJA02BSIrIqKCqWlpSkp\nKck6PLMnIUSCwaBqa2t1/PHH2zpEBrpt2zY7m5a1D4gMCwvTrl27VF1dbRI2AjTemz1Jl8zi4mLb\nz5LMdpHdwgH3799fxx57bEgtDDY6IiLCbCvfQRYEosvXx0A4SM2kASoLiMSzzjpL55xzjnbt2mUd\nfpnTtLQ0q0mkbpGunDwvz5acnGyBLqANpYsks7XYAOoVy8vLTU5UVFT0H3E+rxQKbCg5Yf16e896\nBpBgI7FR2EcvyYqKirKyCq8uwH8SmCAplEIPjM/KyrJ5IMggo0q2c//+/SFrgqwqvRrS0tJUWFgY\nUh4CWOc5yZR6VQu4gUxjZWWlVq5caWd406iPEh6AXXx8vEaMGKHRo0eHyFwBh5GRkfr000916623\nqqSkRGPHjtWsWbMUHR2tCRMm6OKLL9a9996rxYsX66677tLgwYN1yy23hKxVxhVZMDVnNGzyckfu\nLzV3BvVgFxskSa+88opefvllNTY26vvvv9fKlSs1evRoXXHFFWYbCF6DwaDVVeLjAb1khz3pXFdX\np127dunzzz/Xl19+qU2bNmnXrl3/kPn4ufV5zDHH6I9//KP5CYhJVGcoghjfhoYGq7H3sl76A8TF\nxf3T7N6hdvkMKHvOS0UJcghSfY0f/+fPHvQzX/wZcpV1AU77Z2OE3Sdgkpqb5Xi5LHYYsp0ghW7l\nkMj4NfaoL4vAPkvNtaasM3yrt0fsE3wKmJ5MP8km7slnSAT49ybIpnyK5AK/C85m/MBv+HfUC8wN\nPwcL4x99AMY6By8wDgR5kL8E0pA6XjmATcOWglH5uQ+m/bzxPPhbf3k1CAEyeMgHsKxBiC+wmdRc\ne8y4sU7AR9zHS39/resXoWoCTOoUqV+hNsezsb6THwyhZwIYLMASXUeR2vk6PORXTCJOu7Cw0Ca9\noaHBDDcLUJK1AYfZwVAmJSWZYce4xsbGGjhv06aNSQglGRPN5BNw1dc3FVS3bt3aFgyTXVZWZk4M\nyRCdJAFubHpJBtiQ9LCQfA0OP8OA+WYTbEJqXpkPgCzBYElJiYLBoHUF5l5eFsd84xCLi4sVGxtr\nYBxJqtfjt6wj8Cxdy65dODAvAeRdcfCwS2SPPIPHgdfUgxKIcG+IAAJfJNMEXtSQJiUlGcNcVFRk\n70ngREdO1tyherEuad8PaCcDHx8fr+TkZAUCActE0sCJ7psEjhhtDBaZCw/wAMtIc32Nd11dcxc8\n9iJZjvT0dFVWVpoUMSMjw4KfzMxMpaSkaN++fTp48KCSk5OVnJxszgRgFBcXp0AgYGuMoyJiY2NN\nbUFWHoYXJpa9CwkVGRmpwsJChYU11Z7S7KWurs7UEy1VDR6IkXHFgUZGNrc6R9qIzUEC39jYqPz8\nfMvUYj/ZIwQWXkZTW1urYDBoDgz76IGHvw+yfgIKACwOF7vKmqcbabt27dS2bVtVV1db7ThzjXP1\nz003cKlZIcK4Z2RkmJP2NSs+C8d7RkVFmdLFd2nkvo2NjVbWUFBQoJKSEqWnpys7O/tX2W+/5IIJ\nl2T1eXTXBgxh4wAf+DUykPhEfCHgCPlyXFycli9frg8//FAnn3yyrrjiClsbgAzIYQARthM7DBmD\n76QxXmZmpgUU7CMyb0h2USlQR4lE1MvxqR1D5lldXa3Nmzdr1apVdiyT94cQsqwPCJ68vDw9//zz\nev7559WrVy9dcMEFGjJkiBEmCxYssKZcDzzwgH7729/a90ZFRemwww7TM888owULFuiJJ57QRx99\npLVr1+qGG27QGWecESIbJqjymR+pqfSD+/Tq1UvXX3+9NSnDD9JUqLGxUXv37tXEiRO1fft2tW3b\nVs8++6z27dunSZMmmSx43LhxGjJkiKlzGhoalJmZqUAgENK4xOOP8vJyff755/riiy+0bNkyfffd\ndzZ+UVFR6tWrl44//ni1a9dOOTk5kppw008//aS9e/eqoKBABw4c0JYtWzRhwgQ99thjhgHwuZAF\ngH3ALuAWeTkkOaRwS9B7qF4Q8AQsYCL/7z7o42pJLkCWELT6WkOfiWJMfUaR7/XSW/wqdhKbSOaR\n9YjP5vclmQwbf8x3eKUCvoAghrn1mJ2gEz8KScWz+OdDuUG/FD7DWIG18c+MCz6LRALBOn4YzAdm\nBNuxBnlen5GEEID4BivyPuBOH6hCDuDDmEswEP6LoLy6utp603BEI+9HHTtButTcPRhb6AkJH6Dy\nXKixaP5GoM67e8Ldkz0+o+tJEy+d9uvx17x+cQaUBQf7TDYjPz9fWVlZOuywwxQMBo3NkJprTVhE\nMCgErX5y+T7YNZ/doqFPamqq8vPzQxwatRLUJyI141BlsnYeQPIcZB5iY2Ot0Yrv8MckA+L8gvKM\nGawlG4CmAgAxMsN8FzIrNrCXeADmY2NjlZ+fb44cQAwIBKDW1dXZQoWlQV4FUCBwJeBmo7CpyUaS\n+idzyaYhSCkvLw9xOjDYEBQEHb5WEAY9LCzMav+YNwwlAZMkA9X+LDbWBpuP7BTjwYbDeRI0lZSU\nhHRFS0tLs4weUr+0tDTt3LlTeXl5tm4qKytDmO5D+eIZa2tr7RgFghAyLlKzEWQ/wPQhz2ItkWki\n0+xZN0gX1i1rDEbSH0lA4w2MNGoAgkkvHfcOu7a2VpmZmYqJibF9FBcXp9LSUgMH7L2KigrLvtKs\nIyoqSjk5OQaQkQqHh4fbObHZ2dlmp1j3PqOPVBcDn5OTYyxkbW3TESfFxcXmLOrrm46JojY9NjZW\nhYWFtv8ApKmpqcZqsp88aCFL7ZtcVFdXW9de/q28vDykDsvLyCCOcGrUsnk5PnuWgCE5OVkdO3ZU\nZmamysrKlJubq/z8fMt6c5QTZA7ADEDka9qwM5BWyPM5JxWJG+/qJV2pqakWcNMYDUBEJ2+vRDnU\nr9zcXKWmphphwxomSMOuwabzbviIYDBoYIi5w8/Ex8fr5Zdf1ty5c/XDDz9IklauXKkPPvhAU6ZM\nUdeuXUOy5vg8Sda0DduK4iM1NTUkQ5Genm5jjyw6KipK33//va655hoVFhaqR48e6tmzp9q1a6cu\nXbqoc+fOVqLDnvn222/tbOGdO3fqm2++MeI5MjJS/fr104knnqjjjz9ehx9+uBISEpSenq7CwkI7\nv5p1u2LFCr3yyivatGmTNm/erEceeUTDhg1TVVWV3nnnHWVmZurJJ59Unz59LBD3mZuqqiode+yx\neuqpp/Txxx9r7ty5euSRR7R582bdfvvtIfL4llmqwsJCPfTQQ1q6dKliYmK0bt06rVu3Tt26ddPl\nl1+uwYMHh9jjxYsX67777lN5ebkGDRqkqVOnqnPnzqqtrVXv3r316quvas6cOXrsscesPpV588oe\nT2yvW7dOH330kVavXm31lvHx8TrllFN03HHHqWPHjmrfvr169uypuLg4ffPNN6qtrVX79u0VExNj\nzfbwx/fdd5/eeOMNTZo0SXfddZc1BQMr4XfBDlVVVZo8ebLWr19vao82bdqodevWZrc7duyoO+64\nI6R04FC+yNIRFCCb9xk4fJTU3PSHQAPf2FIp51VZ4DuIIAIRH8R5CaUUmrnz8nSwGzYRiT6YDPuA\nWgWFGoQO3+Ul1/hi8CdjAi4D84HFvRyZNUIfBWpk/f4jYPOyWB9AejsoyQJlyDHfNdxnc31TNL7T\nB674KeZHau6sCw5l3pkzyM+WzZIgCuvqmptBQbZB9lM2w1j6GAcbjr8krgCP8r6+dpNxhhBjrTFO\nBJQ+sCRwxr/y777M7te+frGuEMaESSPlz4ST5YOxZlCpx8KRIKuBQaeLHpuLqN3Xs3i9NwDPZw0w\n1HV1dQaqyLx6QF5bW2u1FQSfvg06YBLDS8YHCa1fxABwjBMMBptRktU/sQGo5ZSaAlfGCzkSi9/L\nXJFMkA1FGsR9MSZRUVEmjSI7ynvxexgAD3TIjAJycNaMJZIkQBGfYYyQ6QKM6cIYGxtrmWYCUS9f\n2L9/vxobG602FHDkaxaYE79pvHyAbE5jY1PtTsvje3gWJKm8O1JSstFJSUn66aefTA5K5otNfihf\nrJ8ffvhBBQUFysrKMmfkA0ecAu/O3vTsXENDg5EjnG/JnsvMzLSmVmSLU1JSjNEF1MDWHzhwwAx3\namqqnTvpZVxVVVUhARKOg0AQwos1CYhErQCTiuydwIoSgcTERKvBAvSThfWEBvdITU21tb9//347\n0oeMUUNDgzVp4vmxiwSlEHR+f3BfjmjA6flsAgFYQ0ODNT2jqzjOycsO+V4vmSJjybr30kL2P0wu\nz8AcAWIY++LiYpMf8Z4Ei76jua/P8WsyIiLC6uuwedimffv2mVImGAzaGoDcwvlTm87zeukZWZdD\n+brssst09dVXa/To0RaM498geHyWnbFkvdJDgGAO9cKHH36o9957T0VFRYqJaTpD98QTT9TChQu1\ndOlSDR48WJdccoluvPFGxcbG2lnUrDdfp8hz4CM8+KWnAOA7LCxMCxYs0OTJk1VTU6NWrVpp5cqV\nWrlypb1zSkqKunfvrsjISO3cuVMHDhwIGZPw8HB16tRJPXr0UJ8+fTR8+HDzd/gsMumSrGaO4OaS\nSy7RgAED9MMPP2jlypX6y1/+ojfeeEOS1K1bNz3zzDNml7BvnjguLy83wur888/Xqaeeqttvv11L\nlizRtm3b9MADD6hfv36mJoI83bJliyZNmqR9+/bp2GOP1TPPPKPc3FzLpE6cOFEzZ87UJZdcouHD\nh+vxxx/Xu+++q7i4OE2YMEG/+93vTHkEgXTNNdfooosu0v3336/3339fN9xwg5EA+Dwvbd67d6/h\njOzsbJ1yyim64IILNGjQICP4//73v5vfxnZ78gp/iv286667VFNTo7fffluPPPKI7r33Xitr8ra2\nvr5ee/bs0Y033qg9e/boqKOOUnx8vPLy8vTtt9/qq6++CpnnYcOGqU+fPv/+TfVvvMCyAH3/H4ED\n5JjHXAQA3v5iDwmO/J7BBkvNtaO+GRfzQsBEsML9uScZREkhahx8Fp/Fr0my+UP14221f0buTzNA\n3hUc4f+elpZmTdIg/fm/94vYfp/pA8fxfTwL/gUsAe6WmrvwemxdVlZmNgrbyZz4JATrHnzI2DHn\n+F6pWXEYGRkZUrvN3FEOIslKlLzfYz1QikctLp/ju5gj7u+JB+wvz1RVVWW4gDlnnsDWfJZsKOOE\nWoa1C8lyKFy/KACtqalRenq6amtrLVDieAtADwwuDAnOVpJlJ6Oiooxdb9u2rbEyjY1N529mZGTY\nBkUnTZAEkCZw5IgQJhYwyucA05yHV1FRYWd9EQR5UMuCYsP6xg0REREGBvzREDx7fn5+iMGCXcQQ\nIGMJDw+3dvpkoSQZCADwEVjjKAmekRvDSCLXQdbgM87V1dX67LPPNHHiRCUkJGju3Llq3bp1SL0t\nAR6yiYaGBuu4yEHkZIhramr+oTV+VFSUOStqdAFRbDYcKfdEjkEm2tcEsZlaNp2C8CBzi8GpqKiw\nzn5Sc3trMlWpqal2hE5DQ4P2799vQQ6SOL6LIJsgnq65h/qF4yksLFRsbKyOOuooVVRUKC8vz6SN\nvh4zIyPDDnYH6KEWoOGF1Cw9px6MtU8TDk+OkEFvyUISRMEGwtiiMiCYSUhI0MGDByXJnskf1+MZ\nVwKUyspKtWvXzmrSILoiIyPtvant5Gfx8fHav3+/SfwBqNgSSRZY04GbbDj1VoARbJ2X4oaFhVmg\ni/P1ihG6bQNwAoGAampqVFBQIKmJsKK7dCAQUEpKigoKCkwNwF6vra0N6X5N6QNlEdzbqz5KS0vV\ntm1bc+4Qhl6KRYDJPBIwsyYAQRAZ3u5DegCQ+RwMOrYC0g2CgYCDjDFNawA9fD82n7b81G0fyldi\nYqJmzpyp5cuX69FHH7WMu7eFHsRiz7B/nMFZX1+vXbt26fHHH9f7779vKpdbbrlF1157raKimhrx\nnXjiifr66691zz33aN68eXr//fd19dVX68wzz1RmZqYkmU33kj8vH6OpCLaUP5eWluqmm27S22+/\nrbS0NE2bNk2DBg1ScnKyNmzYoFWrVmnbtm3avn27PvvsM0lSTk6OTj31VB122GE6+uijddhhh9nx\nP99//70iI5tq16kBRmIGSML3eukdmSSaeo0dO1Zr1qzRjz/+qKuuukqSbJ/gT1jTjGUgEFBZWZmK\niorUpk0bzZgxQwsWLNArr7yiK664QjfccIMuueQSI47fffddzZo1Sw0NDbrpppvRyYtZAAAgAElE\nQVR0/fXXKzk5Wa1bt9af/vQnHThwQHPnztXrr7+u2bNna/bs2ZKk7t276+6771a7du1CfBmAH/ny\nQw89pIsuukhz587Vrl27JIXK6Hj+Hj16aNiwYerfv79ycnJUXl6u7t272zphvCiTaWhoPtrGk4k+\nKxMVFaXJkyerqqpKH374oaZMmaLnn3/eutFLTcB66dKlevDBB1VRUaExY8bo1ltvtXlCJbF79259\n9913ioiIUO/evf8vttj/6ML3exmoJ/okWcDg5Y6UAQDoW8rTfy6DCSYFx3lFIEGX/32UIpIsEALn\neTKOZwJDemmm/5wn8T3B74NtcHRLjMi/+d/3Ch0fBKPMwefjgxhv7oGKifHxvg3s59c0GDIiovkE\nBpJg+Bx+FwUhQZcvkZOau8tGRjbXmnrFE7gAP+oJYIJ+n/zypYWQ5mFhYYYNwAsRERGGR7g3hCpz\n530ttoL4BMIC1RQYmuDe+33wif8OxtAH8r/W9YsCUFLJsNZhYWEmdaW5AswAoE1SiPxv9+7devLJ\nJ/X+++9bYPpzF+A/KSlJqampyszMVGpqqgKBgE444QT17t07ZKE0NDQ1y4B5YUKQj6WlpVlmhPpB\n33zFgwFYIjK0yHQTExMt0PKBZnJysgoKCpSfn2+dNgl8kWhgEFhcMC8EvjAaMTExlmXxLdeRg7DY\nYbJhpmtraxUIBCzLkZOTo4iICL311lu69957VVtbq8LCQl188cWaPXu2OnbsqJqaGmOQCGJxVNSv\nffLJJ9q3b5/OOOMMderUyRgXz6wAIplnSAc2FiA0PDzcAlSyHF4eGhbWXGsIM0hGp6amRj/88IP2\n7Nmjk046SRkZGSopKbH28TgOZCl+fMmsIONArokRLCkpUXFxcYhs++DBgyZr+U+Q+iEvhjzgeJqG\nhgYlJycrJydHkZGRFuAxz5BHAH5YRi8FIYAiC4a8lnpkuuUiW66rq7O6wvT0dHMy9fX1KiwsVGVl\npTIyMsxh1tbWKiMjQxUVFdYEKCkpSZWVlVYXWlBQYJ2tYffIfvHcADVqffPz85WSkqK4uDgLGski\n0C22srJSOTk5RkzV1dWF1GNS85KQkGANyZKTk0MyxRBg9fX1OnjwoMl8vUKAoBhZD0ACBwVxhl0K\nDw+3ANqrEjxgwaZAmlG7zFjX19fbe9NRk2wu2WicEJlHsq6sDeadZyDIjo6ONnLGM84ta/ABBZAX\nfJaO5exDvgc7QYaXzE1ZWZnVBP/4449avXq1vvzyS7Vt2/bfcizO/+b12muvafr06Vq8eLF++9vf\n6vrrrze5KIATQtITqIwX58suXLhQM2bMUHFxsdq0aaMRI0ZozJgx6tKli+rq6lRUVGTER9++ffXp\np5/q6aef1mOPPaZHH31UCxcu1JgxY9SvXz9lZ2eHdKTEX+fk5BjIYv0C2vbs2aMxY8Zo165d6tOn\nj1588UVJzXWs/fv3V8eOHQ0gkeHr0KGDYmNjdfDgQesqixTbS83Cw8MNlEkKAfQ+uyLJnouMfkxM\njAYOHKhTTz1VaWlpys3NtSCW7ydzg3+jYVp+fr5qamoUCAQ0YcIEnXrqqbrzzjs1a9YsrVu3Ttdd\nd53mzJmjv/71rwoEArrvvvt01llnSWoOXiIjI9WlSxdNnTpVo0eP1htvvKEPP/xQ/fv318033xxC\nJhNA+1KRwsJCVVdXq2vXrnr++ee1b98+JSQkKCcnJ+Sdg8GgKTV4bkhulD2QO54ohrxCUoniCNkh\nAdb999+vkpISrV27Vrfeeqtefvll+90ZM2bohRdeUHx8vB5//HENHjxYkqy7aXh4uFq3bq3s7Gx1\n6dLF8MuvDXL/1eUliV4+y170MkupucEUtsxLZyG2wXReRsn3UT9IVpW9LskwM/bPSzP5jM+SkgRA\nmo3aCTLVyzR9NhEyFWUFyiOP1/DbnvhF8Ycc1mfd/Ltgwylj4b4odiBD8IVSM7GJIgd86RuAgglR\nEzFOntDl95hDr/Bi/urr60PG19sIAmFvM/gO39eB4NFnP30/FeIl/swYMF7gT4LDlhlQEn3YCuaN\nexALSDIiveX385+PtSChDoXrF2dAAeNeEkKmAnDF4MEkRUZGav369XruuecMLHTo0EG/+c1vbHPC\nlrAgOfi+oKBAP/74Y8hzPPPMM+rXr5+uvPLKEIautLTUNpDPyrBQMOQE0DCjMEOwOzgnAhiAAgGo\nZ2Bg9Mk8FBYWqmPHjrZJAY2SzBhTi8OCoemOr1MhmCfrHB0dbV1HYXbIKrAgWcAAt/vuu09PP/20\nMfAHDhzQlClTdMUVV2jChAk67bTTTLbInMIY7d69WxMnTtSGDRskSS+88IKys7M1YMAADRs2TL16\n9bKCaBg939mRulKeCxk0m5FN5zv0krXFiG/cuFEbNmzQtm3btGHDBgPkJ5xwgl555ZUQWQfrJjk5\n2ZosIaMtLi62bn5VVVUqLCzUzp07tXv3bu3YsUM7duywGkTkF9QO1tfX6+6779bkyZN/yVb5P78Y\nAy7WNGuDRiWlpaUWjBCwMmcYVRoFERSwpzybxjoE8LJuWN+wpb4hRTAYtHpQjm3xe2j37t0qKipS\nq1atbP0zb+yhQCCgyspKq4ujazVMps/805mW9yKLQBdczhtt1aqViouLQ+p2qO0E3CUlJVk9q9Rc\nMoDTh4kE3HnnSyOyyMhIBYNBkzITnMLiSs11PgScFRUV2r9/vwWLvo4T5jc2NtZINZwa+yI7O1vB\nYNA6XtPwKS0tzT7vJVgEIqwPHC6gliYzNLTCSZaXl1vDKILO1NTUEBk42XOpCcjQVCY8vKlelWZY\nsOdkzhsbG7VlyxatX79ey5cv19/+9jdJTfaqR48e/zcb7H9wxcXFaebMmTr99NP18MMPa8aMGVq6\ndKmmTp2qzMxMq4Otqakxiba3ReXl5brpppu0YsUKxcXF6f7779dZZ51lcjIvCQ8EAjZP6enpuuaa\nazRixAhNnjxZ77zzjiZNmiSpqa7zN7/5jfr27aujjz7aiCK+j0wjROOiRYt03333qbq6WuPGjdOd\nd95p9dasIQCaJCN5AIXYI0AgfgMCmA7srGeAM/4MUAdBnJeXZ1JxQDGSc8Ap2QLsF/+xFgGnBE8J\nCQlGcL/zzju66667tGrVKn3++eeSpP79+2vKlClKT083mwfh4omTlJQUXX755brppptUUFAQct4x\nY0BWFRvDUTmS7LPYEW9/keGRrfYlUPw+vhDSh/sSMGFLWV+o2HJzc5WWlqbHHntM1157rVatWqXf\n//73mjx5sm677TatWrVK7dq106xZs9SvXz/rHcC9IAMkhcj6D/ULm4pvAtSzTvznwIsQkxAQPtHQ\n0h9gR8nig/d8DT3ZLNYuHWQJLDxRiVKJ4EWS2euUlBQLiElc4Od5Rkm2DpCYs4ek5mCSz5KFhxzl\nM9go/KMnjiir4d3AdTRW8gE0RBj1kzynPzUB7CbJMrPgfIJ/9h/zJMnmk+wymN7LeQnkIIiYa3Aq\nz+/LJpgrsDZzScbak/k8M8/I3HmfD1HEc4N/+C5iB5IrHHfI7/h1wvxVVFRY3w3K8EhcSaFHBP1a\n1y8KQOfMmaMjjjhC7dq1U5s2bdSlSxdlZWWFaLUJAgGNn376qebMmaMvv/xSktSrVy+NGzdOgwcP\nNueEzA5miAW5Z88ec1wHDx60c6cWLlyo5cuX64svvtCQIUN0+eWXKy0tzQIegAtsfnJysmVWpOYD\nWFlM0dHRdpgzzC+GBqkoTCx1XsjAAoGAOUvYmXXr1mnevHnauHGjevfurd///vc64YQTzIj47EdJ\nSYk5Yn/WFmcMFhUVWfMH33JZamY5yBbB1CQlJWncuHFavHix2rVrp5kzZ+roo49WeXm52rVrpzvu\nuEMPPvigfvrpJ40aNcpkp4Dm+fPn6/HHH1d1dbUGDhyos846SytWrNDatWv1zjvv6J133jFH3adP\nH2VmZobo8Bk7srG+nqKsrEw1NTXKzc1VUVGRSkpKlJeXZ4XzhYWF2r9/vzZs2GCSRKkp8Bg0aJAK\nCwu1bt06XX755Zo1a5YZ9pKSEjvEPSIiws4XTEhIUG5urj744ANt2bJFX331lfbu3RviWCIjI63Z\nCTVazHVMTIwOP/zw/8EW+7+5AFQQJGVlZXaeJMEPmUWyW3QxxTmw9pYvX64ff/xRQ4cONSYU+R2k\nE4FWZmam1QnSuIbgoq6uzhyjJMug4Tiob4N8Qr3ga3LIRAKmcJg4I8A7sk3WG/dPTEw0R8ExRTQA\nwvADTFFIIJdnPQDUkC2z1zHsfg36MzEhjLKysqymEklvenq6BY2eQWfdeqcMMJJk2Q+67nKcCu9R\nVlamtLQ028uw42T2i4uLFQwG1aZNGwMhNIvDeVVUVFi2NyUlxeYXNpasKeOH8/OEU11dncn2ARPh\n4eFq1aqVNYnKzs62I2dwlICIyMhI7d+/XwsWLNCSJUuUm5tra+jEE0/Ucccdp2HDhqlv376/wm77\nZRc18aeddppOOukk3XPPPVq8eLHOOecc9evXT6effrqGDh1qa4869draWn388ceaOnWqiouL1atX\nL02fPl1HHnmkCgoKlJaWppSUFAM5XtJJBjI2NlZZWVmaNWuWxo0bpw0bNmjDhg368ssv9d577+m9\n996TJFMrcIQG4JVyhPXr1ysxMVH333+/hg8fbgoImupJMpKRiwwDl88O0PsBMri8vFwpKSkhpTsE\nX9TCEbSxvuhlwBoDnGODIIQhxxkbbCXAk5/7pncZGRmaPn265s+fr1deeUUjRozQLbfcYgCX9yLb\nQrMVbJsks7d+z0DSsbc9cUeJklc5Qcay36qqqqyBn8czKEnIvIHHsNV0CC8qKrK6b4ID36QmPT1d\nUVFReuihhzRx4kS9++67+vjjj1VRUaFTTjlFU6ZMsR4WEJzYVin0DEJ/TuOhfvkSLIJHT+T5jBxq\nK6m5CSdzzJwxNzSGRA7dUvqI/8I/Y2MlmcSUZInPfvmaTGoumWckwShZfADipabsq2AwaDYZ3+vV\nOOAFAjIULpBIrDf2MUEcY4L/hCzxQTmBFc0rPUnD/mas8PlSsyrIy0q9lJY96vsdEAT6bv8E82Q9\nvWSZ9c18E6z6ceT7eTYyvATIjKUvL/MZZ3wzn/NrzmeYISfxo5QAFhYWGnaH+GetYn9RJFZXV5vd\nhdT6ta9fFICuXr1ay5cvD/k3ABFBB5PIoNKh7eSTT9bNN99szJnULDPwcgcADYNJJqBt27YGWE8/\n/XR98cUXuueee7RkyRKtWbNGY8eO1ejRo22SMdg0ctizZ4+xy0w+zJDU3AENYMxmYJIoPE5LS1NE\nRITVKrHYa2trtW3bNs2bN087d+6UJB1++OHatGmTxo0bpzPOOEN33nmnsrOzFRMTY4AUQ8Jm2rt3\nr1atWqW4uDirc0xMTFTbtm2tZgdw57PQsClFRUUaM2aMtm7dquOPP14zZ860uQoPD1e/fv307rvv\n6rLLLtOLL76ovXv36sEHH1QgENCWLVs0efJk7dixw+RIw4cPV1ZWloYNG6bKykqtWbNGGzdu1Cef\nfBICYGxB/b+64JSUFJNbkelCtvHfuTIzMzV06FD169dPAwcOVHZ2tkmGbr75Zi1fvlzXX3+9Zs+e\nbbWrSNXIFkVGRmrr1q269dZbtXv3bklNB2b36dNHnTt3VpcuXdS1a1cdccQRJiFnrqn1TUhIUFZW\n1n9/k/xKl6+FJVuO0ffAClCE3BnD/de//lXvvPOOli5dalm+Z599VpdcconOPvtspaWlGdtN0IS0\nuaGhQfPnz9ef//xn7dmzR8cee6wmTJigHj16qKyszBqPkc3EkKNIKCsrs/qvtLQ0A1e+doTg09fb\nkPH1TDsANSYmxvYqMuT6+nrl5+fbGZIEmtQEe0YUZrG2ttbOAG3fvr3dE+C/f/9+hYeHW8MT1j5S\n44iIpq7dgD729N69e60Lqc9M8HdsIvOTnp6ugoICxcXFKT09Xfv27TP1Ao0SUBj4Oh1k9Xw/x38U\nFRUZ0A0EAiHMPDUrSLOl5uOWyM55qS+AzXfQhlH37KxneSEwGE+Y3vr6eq1fv17vvvuuli9fbnM3\nYsQIDRw4UIMHDzaHjs841C/kXSkpKYqOjtbTTz+tl156SS+++KI+++wzffbZZ3rooYd0zDHHqF+/\nfjrzzDPVunVr3XPPPVq2bJni4uI0adIknXPOOSHd2en6DihhrqKioozk4+gNSeratavatm2r008/\n3dbNxo0btXHjRq1fv17BYNAIkpblMV27dtWsWbPsDFfO75Wa5d78h60B5LA/Acq+hAOQx5pDJooS\nCIIYvw7486oBlBpImKOjoy3D7yVwkBzsD76DrtTUMxM4FRYW6qyzztLll19uCh1KDgDk2CbWNmQy\nz8g7U+NOBsNndMmieBKJDIfPloA1IOG4d3R0tPlWMqEcP9eyXMGXGDF/lZWV1ike8iozM1PTp0/X\nLbfcoq1bt+qmm27S1VdfbeMLdpMUUv/IeoAc+0+4PP5k3jj7GJsEyeITAJDmKEFqa2uNmPHrztd4\n+uw7GTLwm1fIcMoBwSoBJMd4NTY2Wid6MvhScx2lz26lpaXpwIEDpmLxTXLwlXwfRA1BEP6npqbG\nMmo8L0pHxgbfRYBF3w0CauogIbN99p69RfBKKR/jSHKKMg/k9/yc7yU492PA8/Od2AAvGfbEkG9s\n5+W1zDlJMuyYJPPZSP6xDfh2bI1XHPm6Y+yaJzSqqqpUUFCg1157zU4CgFjyBMhFF12k7t27S5J9\nJwEwQTK241DKfkq/MACdPn26iouLVVBQoIKCAu3fv9/kYVKzo/WSl6FDh+qqq65St27drEmCl2d4\nMIL8gEXNosRYkr4PCwtTz5499fLLL+vtt9/W3Llzra70nHPOsS6BBw4cUFFRkXJzc03ik5WVpSOP\nPFJHH320OnbsqG7duql9+/a2aGGwPFvqdd+wGrBAtbW1evPNN/Xiiy/qxx9/VFhYmE488UTdeuut\nGjBggFasWKFHH31UH3/8sVasWKFzzz1Xt912m9LT022xbN++XWvXrtXKlSv197///V/OQ3Jyslq1\naqXs7Gw7J4yanhkzZig/P1+jR4/W1KlTVV1drcLCQmOIy8vL1aZNG7355pu66qqrtGzZMuXn56tX\nr1566aWX1NDQoAsuuEC33Xab1b2ymSMjm1rljxgxQk888YQ++eQTbdy4UaWlpcrPz1dhYaGKioqU\nn5+vAwcOhABZmjVACHB4OmAhKytLGRkZOvzww5WcnKz09HQzzty/sbFR8fHxevTRRzVp0iQtWbJE\n11xzje6//35lZGRIag5AwsLCNHfuXM2ZM0d1dXUaNWqUxo0bZ84Cww5r7g0SWQgyzwCdQ/kiY072\nrbKyUlu3blVeXp41NGEukH/v2bNHK1eu1LJlyxQMBiVJ7du316BBg5SQkGDHO7z++usaNWqUzjzz\nTAN2NMSYP3++5s+fr4KCAsXExOjII4/Uhg0bdP7552vEiBG69dZbTTZGYMkcVVRUWEMQMp04JPZ9\naWmp1q9fr06dOtl5rwAvHzCRxceZ8HfYXWqDDxw4oJiYGAUCAYWHN9X/EojFxsbau/m6FABbdHS0\nSYD5bu6FBB8ZKkE84JrsEGdsFhQUqKamRllZWYqMbDrbECaWRl/MGRmHYDBojDEHfufl5amurs4c\nYlhYmNauXatPPvlEO3fu1PDhw3XFFVfY82ZkZISwvDhRAmXkfcnJySaHpbkYZ6cWFBSE1KQARKnv\nxuH6jCpS2pYNilJTU02avWrVKr3++uvWgKVHjx669NJLNXLkSMuOQ574rN+hfuE3AKKSdO6552rQ\noEEqKirSp59+qqVLl+rLL7/UV199pRdeeMGCrd69e2vatGnq3bu3fvrppxDwgUKDRkz43OjoaJNV\nEgj6LGJUVJQCgYCysrLUqVMnnXfeeSouLlZJSYlSUlJ02GGHWZBTV1enXbt2KSEhwdQEkAnYUL+e\nvCwOoCU1zxOA1sv3IE58TaKX64InPJOPdA+CiY6T3o7ga1AM+Kwh9/PrHkALgU0pCbaGcaRjPt/D\ns3owTRaCZ4acQt4O2Pad2L1MmLHytYU8IziL5yPTQfCJ6oWgHXm3V8lgZ8jAkblmXimteP3111VZ\nWWk9BcBkyETxjWSUwXWszf+ECzvFuqLbrz/L0mNSsmthYc09DAgcmHfWNuMvyfwMtpPfJ2iFuGu5\nlyAQfO0k5AyBD1gJYgIyk+dizvBdfq0RgErN5AF2A7LGZ/DZoz6A437sbYIg/sxalJqwSn5+vpFR\nnqgFc4PNPvroI02fPl0DBw7UddddZ+ODMsDXyJJFlWSJLb5LavJLqJyIO/gu/g75zHMxflVVVZYw\n8nuVeWSOGTcywWAdAnbsD98LecznmEtUbBMmTNCmTZv+y/W7bNkyvffee8rJyTHSnKC9JUEGSXKo\n+M1fFIB26tTJUvscxUHDlsTERKvLatWqlYFCGpMgNcE4A3zQefvudjAHGGZJ1rGWYwJojX7RRRdp\n6NChevbZZ/XWW29p1qxZIc+MTPCII45QWFiYdu3apTVr1mjNmjX2mZSUFHXq1MkcD0aWrIBPvQN4\nkeLl5uYqLy9PERERuvDCC3XxxRdbxrK+vl7HHXecXn/9dX3yySeaNm2a3nrrLX3wwQe69NJLFQwG\ntXz5chUWFkpqYmaOPfZYnXrqqcrOzlZBQYGKiorMcASDQWOp9+7dqx07dvzDHIWHh2vatGkaN26c\nkQEEejjTgoICpaSk6MUXX9TkyZP1wQcfaNOmTWrXrp0mTpyoU089NQRAwMQhVWY+Bg4cqKOOOkpZ\nWVkGEKmxo3FUQUGBSktL1alTJ4WHh1tbalhbuqziNLOysqwhDICgtLTUMpTMz5QpU5SUlKQ333xT\nd955p2bOnGkNmYqKijRp0iR99dVXysrK0sSJE431p9aM4BJjI8kasQBucEQtWbBD8SI4++tf/6pl\ny5Zp5cqVpj74V1dOTo6uueYanX322erQoYNJc0eMGKGXXnpJCxcu1JNPPql58+Zp/PjxGjBggN54\n4w29//77xnJed911GjNmjKKjo7Vy5UrNmjVLixYt0ocffqhRo0bpggsuCHGWyHPJEsCeE2Bs3LjR\nsmCVlZXq2rWrnnjiCaWlpZnMHxUBABESy0tgcnNzTQIZFtbULC0lJcXquKiRxJkQ/IaHh9s6ZS/j\nRMkYkIFEpkT9aX5+vkpKSkKyBevXr1dBQYGGDx+utm3bGjNKlr2xsekIIV8zLjWBUGyr1Fzr2zLL\numXLFi1dulQrVqywQDA8PFyzZ8/W/PnzNXbsWJ122mmWJSOzzL6GcGPfl5eXq1WrVmY3SktL1a5d\nO7PtnrmFlZdksnqYavZvTU2N8vLytH37dhUWFloAXlRUpJ9++klr1qyxutshQ4bo9ttvV9euXc2R\ne7kitXA0OflPuKjb9fK1sLCmesHDDz9c48ePV15enpYtW6aPP/5YP/zwg84//3ydc8456tSpk4FK\nQDDjDZgkE4Z/CgQCZt8k2T1poOfZeAASdhjQSU1fMBgMIfZ8hgRgCggHdKEY4j0hbrkH/hNi2UvF\nAYxelubrZP3+RqrOd4AfPLFC8MreIptC0IiqgJoqfsd3ucfvIFknEATAE2R6UOuzDQTE/sg25ozs\nhA/82I/MrZe2+hpF3otu4r5JIJ8l2MROcgQM9+B3AMIE7dzj8MMPt+O0IFEgwnguSQZw/Vz4xiiH\n6oUvAqizxsk+46cgGMnSEbBIzXJTMtwEmgQnlJq0VI7QJ4R/o1s8xAb3Z4w5OQESiOwifg+Smf3M\nvEOQokCLj4+3pAxZMm+jUBMwFvx7MBhUq1atbM/jBxgr9gLjwF5l72Fr2Ctk7imfwsYdPHhQDz30\nkCkud+zYoZ9++kmPPPKIxQHgW6+2wM75IJm1yB71gSRBPXJ17IrPjLLv6MmCPSBjih3FH7WUOYOb\nWVsoGiARIDpYU/x5zpw52rRpk0477TT94Q9/MJk0NrWgoEBvvfWWFi5cqFGjRmnhwoVWBgcRxzt4\nCTFrwZcL/FrXL0LWOCWcnu+i6rXspN1ZoF7ehoSHJiewK14CgfH2ho6FzWCS4aBw+Y9//KPGjRun\nzZs3Kz09XYmJicrJyVHXrl1VWFhoWmmpabPu2rVLW7Zs0ddff62dO3f+S5bh5y7YxHPOOUejR49W\n37597YxEMjw4mVNPPVUDBgzQRx99pFmzZum5556TJGVkZOi3v/2tTj/9dB111FGKi4tTRkaGNVdB\nYkFjGAKnmpoa7d69W/v27VNRUZHy8vJUXFysIUOG6NRTTzWDh16cLARgEunRtGnT1KdPH5WWlur8\n88+3Wg6kdjBqGF02Ks+FcSsqKgqp/fD1DLAvBB6wM5LUtm1b1dXVGcBmzeAYYXF8x0aMyuzZsxUT\nE6NXX31VN954o5577jmtWrVKjz32mMrLyzVkyBBNnjw5BIDQwALgQcYd4BIfH2/HZCARxMgcyteT\nTz6ptWvXWuYtPT1dF154oY499ljV1tbaOmEvFhcXKzU1Veedd55OOeUUq78FJEZFRalTp0668cYb\nddFFF2nhwoV67bXXNG3aNLtnZmamrr32Wo0dO9aIpoqKCg0dOlQnn3yyFi1apDlz5ujZZ5/VggUL\nNH78eHXr1k0pKSkhckGY4507d2r16tVasmSJrYfWrVurT58+Wrt2rcaNG6ennnrKHAwyIuRegKiC\nggJVVlbq66+/1pYtW3Tw4EE1NjYqGAzq4MGDlu1JSkpS165d1b59e3Xq1MmOaElMTFQgEJAka7AB\nuKqvr7ca0rq6OmVnZ4dIpSorK20vxMXFqaioSE899ZRW/r8zEufOnatLL71UY8aMMeAIKKRbd3l5\nuQoLC622uqioyORTOMfo6Ght3bpVS5Ys0eeff25BZ2Zmps477zydeOKJOiQHPA8AACAASURBVOKI\nI7Rw4ULNmzdPjz76qF566SVdeeWVFogCHADB1LQThFBzVlBQoIiICJNQowjx9aMt2WZq5RsaGrRi\nxQrNnj3bnvHnruTkZI0aNUqXXHKJjjzySDujGcKCo5RKSkqUnZ1tUtT/rqT/17wYJ2wigEeSkbIR\nERHKyMjQeeedp9NPP93mJjk5WbGxzedd+wwkYAfiFEIXUiA6OtqaE3mABfnBgfHU+krNzTIIJCBI\nyIxzX2q4mHeAOLWF2Hyf9SEQk5o7pXPED0oIAicAnNR8oDoKBYhGZN70aODnyNn4LoJfT2qDK3xw\nSFaCd6IGDWLSB9GUA2VmZoaU8mAXfFCN/5FkMlyfSWmJa7yc0Ptb5phSipbEAT4fSSbj5rMrZIY8\nYOcdIcIkhQSRyOR9LSprENuH7JC+D9h05v1Qvpg/AkECSF8L6Y+RYnzZzy3nUWpuLMnPOGWA/eQD\nF08wsGZZl2VlZUYIQX7i/6TmgAVb/XMZSuYL6apf5wTO+Hwyf2S4UdbwvASW7E/GzQdccXFxRloR\nH9B7gvv5WlZJNt6VlZWaO3eupk2bpqqqKvXr10933HGHpkyZoiVLlqioqEiPPfaYsrKybOz8nLE+\nwQeMKXNBHEGmE7l7bGysnWfqFZCUO/g91NjY3JUdG4cijL3OXsBeoOjz9abUonqCiGB9/fr1euqp\np5SZmanHHntM7du3N1zBni0vL1fv3r0tkXXFFVdo3rx5tq5901gfgLYsr/g1r18UgFLf4Zkvmugw\n+AQ5GHrfxSkhIcGa6TCx0dHRJkPwzAPGkkYafB9pfuoLPWvfoUMHde7cOURGR1DBv7GpDjvsMJ12\n2ml2wLsHNDA3gAVqNmldTqfV0tJSC+7S0tIMJLDZeA/qRiIjIzVy5Eidc845+uSTT9ShQwcdeeSR\n1gQAI8P4NDQ0HamBI2toaG61LTVlIclKh4WFmZSVe+PUuD+1Ib4gvb6+XmPHjlVZWZkx1jhL7svn\n6H6JtCsxMdHOhaWLG7In2Hjv0GGUMaKSjAGHySN7QnYrGAza8/i6P2p5Z8yYoYaGphrE4cOHW4A+\nbdo0jRw5MqRraWpqqhX1w2TCgLG2vGFPTExUfn6+1T4cyteKFSuUkZGhYcOG6eSTT1afPn1C6o0L\nCgr0ww8/KCsrS+np6Tp48KCioqKsPhGCoKGhwdY6gV1YWJjGjBmj8ePH67nnntOWLVt01llnaeTI\nkSZRB7x4AHbxxRdr1KhRmjNnjv70pz9pxowZ//DcECRhYWHGyAYCAY0dO1YjRoxQq1atFBcXpxde\neEGzZs3SqFGj9OCDD6pnz54KDw+3rn/e/hQWFurhhx/W+vXrf3askNHt379fW7duDflZWFiYsrOz\n1bt3bw0bNkwDBw4MYXIBpsFg0NY7P/OSrPDwcL366qtasGCB6urq1K9fP/Xu3VtvvfWW5s6dq1df\nfVX/H3vvHWV3Ve7/v8+Z3s45U1NIICGUAAHpRECQTi4KhBYQUAThWhBlISCKV0FBvVzEgl26lCtw\naS6KICIgTRAMoQYhQEifcqbPZMrvj7mvPe+zOTPJhACT+/3ttbKSzJzz+ez6PM/7/ZQ9b948HXnk\nkUEmTZgwQTU1NXrrrbdCPheGBfJs6dKluv7663XHHXfo7bffDvN13HHH6cADD9QOO+wQWND+/n6d\nf/75+vznP6+LL75Yd955p773ve/phhtu0Oc//3lts802ymQyweggD27KlClqampSW1tbKFpEYZyH\nH344VMCFhGLfEBpMaPKSJUv0zW9+Uw8++KDKy8t12GGHqaKiQvX19WpoaFBDQ0NO6DgeaYpFYdRj\nWCBP8WZ76Nh4bgAcdBz5zxgH7hVD/qPnJkyYEOQfRaQw8nkWBC1eG4Ch5wF7XhrGmXvHeAbAxfOI\nCR2F+KAAn1eZxdhzrwtGLaGByFb3BCBz3Uj0cEbmiD2A7oHoxHgGXGIou6cT+4C5oXmoqzR86Ts5\nzUVFRSE9w8lP9rnrbWQE5yCTyQSZ6qHKhEKy1hDV/f39qqqqCqG62CvoLK/QCfDk2URsrVy5Msc7\nIw3nVru+ZYzYFHi62Q98jnklfNlJE/fAMS+ksWCfYM+N9+Zh4x5C7Hnm2Ww22AyQkm1tbQEgYtwz\nb/yhqCHFpSAZ3NvmxDxgl0gzbCvsqdWrV4cwUuxVIlg491SWb25uDnaaeyel4T3P/mGdHMgyLwA3\n0kuQGehDnuPnh3Q5IpwAdHhWS0pKgiOAWg0PPfSQvvGNb2jhwoWqrq7WueeeqyOPPFI1NTW6/PLL\n9R//8R968MEHddppp+m2224LIbvIE+8LzhG3hQGp6Oi+vr4QxeSpAa5zIRiIzPJwePANwJICUMwl\nNjf94bPIN+QCMguZ2tnZqc985jMaGBjQd77znUAKI8d4Do6eiy66SF/96ld1zz336Mwzz9QFF1wQ\n5DA2O15n7ApkyYfdxgRAE4mEMplMOHR4PSWFssscXDYAXjyS26VhdpzDxUZmkTwfj9AAlCvoH8Xj\nQM+VICwIApIcFhK8yU8cHBxUU1NTeFc6nVZBwVABgsrKynDXHX1Aia9evTpUGiX0DkFPDpSkMDb6\n0dvbq7q6Oh133HEhBBX2iARvFBK5PP39/Wpra8u5OoPQPAA8AkHKvVgZ5UI1Uw4/ggXDH+GI99oZ\nGuaVteP5sOhxqA3FVhCYgEvYQ+6oQsgCkvC40kfWxD01KHyY9tWrV+trX/uaBgcHdeONN2q77bbT\nZZddppkzZwbBwF2SJSUlwROeSqWGDsD/Ch1JQTFgKLpQH+/tyiuv1IwZM0IeF/uGs4HRgpdAUjB0\n2bfkFEnDYWMe6lpRUaHTTz89EC7V1dUhPAgDsKKiIoSfUtTia1/7mubMmaM77rhD2WxWyWQyeCNb\nWlqCUb333nvroIMO0t577x2Kmy1ZskQlJSX6+te/rokTJ+qb3/ymzjrrLJ1//vmaM2dOUByw0b/7\n3e/0i1/8Qr29vdptt910yCGHBI/m9OnTw9UgeDyWLVumF198UYsWLdILL7yg119/XYsWLdI999yj\ne+65R1OnTtUxxxyjOXPmhJzIoqKiEOVA6BuRAL29vXrsscf0m9/8RqtWrdKkSZN04YUXavbs2Uok\nEjrrrLP0m9/8Rtdee62uuuoq3XDDDTriiCN0xBFHhLxwL/SQzWZVXFwcKlA//fTT4XeHHHKIDjro\nIM2aNSuERWHgwLrjOT3nnHP07//+7/r5z3+uu+66S+ecc4423XTTEJqLIkTBTpw4Ub29vSF//LHH\nHtNXv/pVvfnmm0omk9prr710+OGHa7/99svxmBUWDhU5eeCBB/TrX/9a7e3tmj17tr773e9q8uTJ\nWrlypfr7+zVt2jQVFRWFazy6u7tzPKSe44kMYi+SL8W9oOO9kWKCPIP1h8BgnZGneI7d6JeGCEfA\nPfoIEIERitxGrgH0kJ+QNuhn9gxeFSJWJIXCNIDIioqKAI4IHcPoknLv4wV0ozPd6HGDH0OY/UfD\n0PVwU37uXl/Pm5OUA8ogniXlAG33cLjnns/iGWLN0KUY5ZDKEE6Q8hiG/K6wsDDsaSevAG5VVVUh\nZQTdKCnkq5Ovh41DDi7PYT4cWNM/92DTH/YNa+VA3YvK8HzIYnLnAJToEknhXGLYYiQzzg2hOfCE\nrHnjjTe0YMGCUETvrbfeCjK+v79fe+65p3baaaewp7Hj4qvm2Os4Njyclnw8wDueRq/TwB6UFArp\nAGx7e3v15ptv6uWXX9bixYu1ZMkSNTU1admyZVq2bFmowHvsscfqi1/8YiAznKiiUBRXOnV0dOiB\nBx7Q448/rv3220977713GDfedM64F8L65z//qV//+te69957NWnSJM2cOVNTp07V5MmTtfPOO2vK\nlCnBbpSGUjXmz58fUjaeffZZ/fGPf1QiMVRU50tf+pJqampCSHFZWZl+8pOf6Bvf+IbuuusufeIT\nn9B1112njTbaKNg0DuZIAfDoPfbmypUrA/itra0NOq+srEytra1h3nw9/Sy0tLRoxYoVam9v16JF\ni7RkyRItX7483LH+iU98Qvvuu2+I4kEfcwadfCwsLAwpRaT/nH322Xrrrbd0wgknaM899wxREWAb\nB8Xo28suu0ynnHKKrrnmGqXTaX3lK18JkRMeiUlRUHTBh93GJCEw5FBINMCQCzcqu7W3t4c8sb6+\nvlAwwQ8oRrIzlp47iiBDWCJ02XTScPljmFLYR4xsWBw2Be8mr8hZKNhqZ90R2FVVVcFDAZClDwAn\nFCLCDJAdF/Rh07EhPexDUjhYKAbCmz30CSVDGBJz4onaiUQiABI8sZJCiAfjZkOjVOI+0Wc+A6ss\nDSlNL4aBcYGxj9GCweAFCgAQzJdXjcPzwljYZ6WlpeF5ZWVlOuOMM3TMMcdoxowZYU6Ya/YAe8bD\nBjHO+L8r7v7+oas3NoQiRJtvvnkAgB4CxVozLvYAxi1GPWvM/mdNIC3ca0K+FB5t8nopCuIRDAjy\nTTbZRMccc4wGBwc1ZcoUVVVVafHixaGgzcSJE8O/3bj0vOPDDjss5Kt++9vfVldXl4477jglEgk9\n9thjuvDCC7V48WI1NDToS1/6kg4++ODwfs4fcwNhM3HiRG2yySbBg4AH/oknntBtt92mBx98UJde\neqkuu+wy7bnnnpo7d6622247NTc3q6CgQM3NzQE89PT06JZbbtGzzz6r4uJinXLKKTrjjDNUV1cX\niJNkMqlTTz1V8+bN02233aZrrrlGN954o2688cawlhjvGPAw7ZI0a9YszZs3TwceeGAIEW9vb1ci\nkcjxCBElArjPZDKqq6vTxRdfrKOOOkq/+93v9Mgjj+hb3/qWfvazn+m4447ToYcemsMUNzY26vbb\nb9dNN90UPOZz587VwoUL9dBDD+mhhx7SJptsEqI6qDb+wx/+UE899ZTKy8t13nnn6cQTTwwEHB5S\nyDOUPSFf0nAYKLIczwJeP8gnLxY1nhsGJfsQ8EPYI5EYGHrScCqCNCyn3JvEehNSx95CByPD8G67\nl4ZqvFyvgwcAmU+/stnsu4iooqKiEEKIMUrfAXGAY/QIspT3Q9h6oRBkDeeVZ+IpQKcCbDCgIGPZ\nJ4yBUDbmhmrBXhxGyr3bEfsCQxsPLuOiOJikAPgBZxAB6D7ejxyUFGwbSDNARF/fcBExX1/6R2O8\n0nAON2cBmwtyBpKWRp46880zsB0YJ7YQMgRwhl7AqGU96AcFoAD97GkHUOO1uSwZHBzURRddlJNq\nkq/9+Mc/1sYbb6yjjjpKn/3sZ3Oum8MuYr/ihcbBAghlj7Ae6D5CfJ2wwD6ThvbGX/7yF11xxRV6\n9NFH3xUFkkqlNGXKFE2aNEkLFy7Uddddp1tvvVWf+cxndNRRR6m+vl6SAumMM+Haa6/V5ZdfHmqL\nXHHFFZo+fbrmzZunU089NXwPW6K1tVX33HOPrr/++nDN4sYbb6zW1lbde++9OX0qKyvTpptuqpaW\nFi1fvjxvGOgWW2yh888/X9tvv31OBWXkTCKR0IUXXqja2lpdffXVOuyww3T11VeHNKOBgQG9+uqr\nWrBggZYsWaLnn38+VIunGCERcbTNN99c+++/v+bMmaOPfvSjOU4czs8zzzyj66+/Xk888YT+8Y9/\nhCi8fC2RGKr38K1vfUuzZs3Svvvuq+OOO05Tp04NNqmDUeobYDOhb7fZZhudcsopAYvgjeesY6tR\ni6e/v1+//vWvdfzxx+unP/2pamtrddL/1uTAK85Zd/35YRcKGxMAhf2BiUPASAqKiRwVabgilHsP\nMWRRGBg8MO0YKl5kQBoWyBxchB/34Hm8NQoIpYxgwGj2HAuUNiGmFDmqqqoKoQgAYTwcbCIHZLCA\nVVVVORV9EUaw4AAxPJLk3xBaRP9ozBl9xZiVlMO8ohC8sp0b8pKC8eYJ6cwPBo0rdTcMPIwHJsVD\no8vLywMLGHumKysrg3cF4I9BgpLDkCwuLs5JxKcgAsJ4YGAgVAXlebx7iy22CPmxeG0xhJw5ps+A\neoQdhxqlSZ83hAawhlTBWCJHCmOFaqawoRAcEBaVlZWhQIkX+0ilUmF+nNHDsEawY/AB2v3/mUwm\nvM9Bv4fL8DmiEPCK42k84IADdMstt+j444/XxRdfrHfeeUdLlizR/fffr4KCAp188sk6++yz1dra\nqo6OjhDB0N3dHYCay5lUKqVMJhPSBiCJdthhB+28884qLS3Vrbfeqj/84Q96+OGH9fDDD69xLQ46\n6CB95StfUSaTCYYfRArGSGVlpY4//ngdffTRuueee/TII4+EkCUv6EX495FHHql/+7d/0zbbbJMj\nOxgDcpHwLPeudXd3h+iPRCKhmTNn6sILL9Tbb7+tu+66S3fccYd+8pOf6IorrtDcuXP1hS98Qffd\nd59+8YtfhLC+E044QZ/73Oc0ZcoUSdJTTz2lG264Qffdd58uu+wy/fKXv9SBBx6oP//5z+ro6NDu\nu++ur3/962FuAQ2E3MPAE0oGSGbfcO5cviHbnZHmd+O5AbgIyYKoIULFw/E8ukMa9sgAgJgH5Cb6\nwSNDnHz0tAfmFKDPXbekjKAvMUwgSNm76DnPMcNQBpA6eYIOZp8C0jzdhPVkbfHCEs5KQ6egd5F1\nfJf5QEdgkKLPHOx5+KGHEfp4SL0B/PsdxcwVcoUiZ3iW0MWAOUJr0UsxeQB4oR/oa8IF0WGMh33i\nZAw2BT8D0ELmAMwZJ8/3d6LrHYBiM/HZtra2cL+sNAxsCWXknMd223hu7Ive3l6dddZZuueeezRt\n2jQdccQRgQzv6upSQ0NDCIm/++67dfPNN+tHP/qRfvWrX+nII4/UySefHGwangeBgp1BaheymIbz\nAHsHvYcsx0t6991364orrgi3JcycOVMHH3ywpkyZotraWlVXV2vrrbdWdXW1BgYG1NjYqJtuukm/\n/OUv9ctf/jKkX5x88skqKSlRNpvVb3/7W/385z/X8uXLVVBQoEMOOUR777237r//fj388MP6wQ9+\noP/8z//Uvvvuq7lz52qnnXbS3Xffrd/85jdatmyZJGm//fbT5z//ec2aNSvYlo888ohefvllrVix\nQq+99ppee+01pVIpzZw5UxtttJEmTJigiRMnavLkyaqpqdGMGTOC3c2+Yi9CfFRUVOjMM8/UlClT\n9L3vfS8UIX3llVe0cOHCd4HDRGKo8GBlZaWmTp2q6urqEA25dOlSPfvss2FuioqKtP3222v27NnK\nZDJ67LHH9OSTTwbyV5KmT5+u7bbbTpMnT9bkyZM1YcIEZTIZTZo0Kdjx999/v/74xz/q73//uxYs\nWKCf/vSn2nXXXXXYYYfp4x//eE5ebWFhYUgpWLFihc477zxVVFTo29/+tioqKsL+A7ACWp0ARD80\nNDTot7/9rY4//nh95zvfUX19vT75yU+G/dvY2KhXX301VAueO3euNtpoow/ghI3cxgxAUaCEiUnD\n1dgILUHQkVNIDDLCE8QOwOnr61NTU1PIrXBlW1FRETYVSs8Nr76+Pi1fvjwnV5G8herq6gAsOdgY\nzjA/MB0oHMaDdxOwhFLGmENJcC0FzCoKl9BXPBBc8Ew4BjkBsFD9/f3BmELZkNvhIbFlZWXhjkcA\nI8qbdzMPACs2OoqTXCL+j/GDQejsMawsRAIbnvXjMLCWPIvDglFE3imMDhV5YQx5B/0lTA2vjpSb\nt8DPMGzcwHFWz/cka4ahAPngB1waZvgwljwXabw21gxjgX4Tdsz/ASmZTEZtbW3BMCbnC4HHeGPv\np18YDZiAfMF4wzikX5AezCn5xoAkDFyqFGNYI1c83ySRSGjnnXfW5ZdfrnPPPVfXXHONpKErO777\n3e9q1113DZ4W1r+4eOiqH84Nyp78Q9YeYIACTCaHrgn51Kc+paOPPlrz58/XbbfdpnfeeSeEx5eW\nDt2VyZ2M06ZN03777afW1tac93EO2KOEhjc2NurQQw/V3Llzg+wDiEJkUciBfFdpmJjy/Q754+fQ\nc+s9B6+8vFybb765zjvvPJ111lm68cYbdfXVV+u6667TddddJ2no7J144onhnjGueRgYGNC2226r\niy66SF/5yld0yy236M4779Sdd96p8vJynX/++TrppJMC6O/v7w9gvLu7O+SPdnR0qKKiQqtWrdLg\n4GCYfwdWyWQyEAcY3Z63nY9JH28Nj5c0zKwTxcFaIVMxMAjN8n3gFU7Roayx55BKw3IRjyrrAKho\naWkJQA494B5QSTmeTA+pRIezj/kd+ouK5dgLzrSjnxijA1QPswW8EZbGmBgDdQYghNkfnqvJueM7\niUQieOfQm56nydhcn7FmzBHGMKGt7EWIAtYAggh5yxrxHIxOwgt5pkfu0BcvruQgm/OA/EJ/Y+Dy\nPEA6e8NDpp2k5nnsR3Q7dhZ7ghQeSTk6kj3Jum4orbu7W2+//ba+9rWvaf78+froRz+q6667Tsnk\nUM5iR0eHGhsbVV9fHyI35syZo3PPPVc///nP9T//8z9Bbu611146+uijtcceewSygvsvmWMIObfJ\nvBgPe5k5f+2113TllVfqpptuUjabVWFhofbbbz8dfvjh2m233QKZB2nr3viqqirNmzdPhxxyiG66\n6Sb99re/1Q9/+ENde+212nfffXXHHXeEuhmf+cxndOyxx2rjjTeWJO2yyy665JJL9Ne//lXXX3+9\nHnjgAT3wwANh3kpLS3XMMcfouOOO0xZbbBEiWrBN99prL22//faa9r/pFo2NjSGysLi4OISetre3\nB/uQ88zZSSaToU4LZ7S8vFzz5s1TKpXSN7/5Td18880qKSnR5ptvrk033VTbbrutZsyYoVmzZqmh\noSHo1I6OjpDa09s7dFUdYcsvvfSSHnjgAT399NP6+9//HsY4bdo0HXLIIdppp5203XbbhQhQdCg2\nEbo3k8nopJNO0lFHHaUnnnhC//znP/WPf/xDjz76qJ566ikVFhZqn3320UknnaR99903yKK2tjad\nddZZam9v1/e///0ADNF3q1evDngK+45z54TghAkTdPnll+tzn/ucvvrVr+qnP/1puCIxdqasXLlS\nF1xwwft3sNaijbkKLiwh5cIxgBx8oVAAlCjMZDIZWB0PjUOhIYxbW1tzFAUHGaMEb6orCPe0kp/q\nBQTisCCqXg0MDBVdaW9vD+GtCG6EMaGfrqQxsFFqhMdirDtbi2Bns7h31C+g5pn0AQUJw8r8tLS0\nBDAXvwPghSc0VmwIODwjGKWw5XyW9ZMUGBYfvzRcPY7PE2ICAw/wc0BKWKEDCpQ1fQQ8sK+8Pwgw\nSTnPhuHmkHFoPZeC3FpyfZh3gDDMI4YP8+95UeO1YZThMcJYw6iFdUVoYnwSicC84ZVgP3k59nQ6\nHbydAAqUAmeVfUnj/LB2eLyy2WwIF2Z9YCZZV4wnv+MSJb7pppvq8ssv17XXXqtdd91VBx10kNLp\ndNgreFFRhiiO7u5utbW1qbBwOA8YptqJEid1CO+fOnWqzjrrrEAsIRPwMtFf9/AQJcI5w7AjJIYz\nxdq0tbUFWUXKgHtOkQOccd7j+W14MiAF8Cq5nCSaY3BwUFOnTtWZZ56pY489Vrfccov+9re/aYcd\ndtDcuXNVX1+vmpqaoLDxYrPPMpmMTj75ZJ122ml65ZVXwv2S9IviVOw5ADt7jutU2MMODphTQj/x\nMmG0IR/Ge3M9BTDAoPJoFogWyFLAHR4azlbs6STKwWW0y/vy8nJVVVUpm82GPK/BwcFA0KJrIejo\nEwAZnUtjbTGEADGcGSJ+KEjoYWcOdtjn7ENAqpNPkMScS4Ae38dodf3V0dHxrpw1SEvOpgM5rxbp\nMsZJNMbp3mbOEfYIOoOx+pUXzK3fXereaa+0TV99rvr7+wMBwV5ysoG+upzFkHcvCt/17yFfHLwj\nD4lEYj4gEp2kdI8t39+Q2osvvqgLLrhAK1as0DHHHKP/+q//Umlpaah2zppIwyR4T0+PamtrdcIJ\nJ+jTn/60XnrpJf3qV78KUTKpVEoHHHCAjjnmGH30ox/N8fBzCwG1FTjHAFJI2j/84Q+68cYbw5WB\n9fX1Ouecc3TooYeqpaUlhPZ3dHSEQj7Yi+hRJ2dOPPFEzZs3T1dddZWuvvpqXX/99Zo4caLOPvts\nHXPMMWGdsdsgk0499VSddNJJevnll3XttdfqiSee0F577aVDDjlENTU1AURynqiGj+1G1BtAa+rU\nqWHc7GtJ4Vwj27FlPcQfOdHd3a0DDzxQs2fPVmdnpzbffPMg8zKZjLLZbCDHPfqDCE2IhZKSEm2/\n/fY6/vjjdfbZZ+uVV17Ryy+/rIGBAe28886qra1VR0eHOjo6wnnhDNJ/1gz9RERPVVWVDj30UF10\n0UVauXKlbrzxRv3+97/X/fffr/vvv18NDQ2aN2+e9tlnH916662aP3++DjvsMB166KFqamoKUTCA\neuQ0jXnlbBI5MmHCBF166aU6//zztWTJEtXV1WnjjTdWfX296uvrVVpaqgkTJuiMM874YA7YKG1M\nVjWClcPi8cMATwwNGG0EJeF6eCcR9BQ6YCNjeHrIJ4Yjm5iD6gwwSo/cloqKilDMAcEKoGQc7j30\nfA6eIQ0J1+rq6pCLxXgw4NwIjPMA2JRtbW05IBjGy+dIGq70h+Ag9GdwcDAYfl7UxxWZeyIxIACH\njMMZboAZYQ2EzLCh8ajRb97ne4Fnu7cW48pDraTcw0piOULK+8ah6+/vVzqdDkYOxoOHcDNnhJ8i\n1Jzt9XAg5ov9xV5AoDBeDCfeN95D/KThvGvK/HNGCF9dvXp12McxY+0sO0aHG30AAbyGBQUFIQya\nhvIhfwyjzoGtpMCet7e3q6SkRDU1NSHclHWDIIEkQvGwz4uLi9XQ0KCSkhL95Cc/UTI5VNTIjXbA\nsrPNGKwQUShv1hzjFoIEWYf8cUOaz5SWluZUCaUP7DOiL2gAYhSrwMHDzAAAIABJREFUNGSUUjUT\nkMI5rKysVGVlpZYsWSJJQQGl0+ngtcYA9CgAzjnADUaZ73OGWPPe3qH7wY4//nh94QtfUCIxdH8n\nxCBMtOcEe2RFT0+Ptt9++xy5zDkD6ENmQPgBPD0iBqMhjmigIQ8gQTeEBhhBtnm+NEY84NyJgvLy\ncqVSqQCwuMoF2SUpzAEkA5/1c4e3jnnt7e0NhEdra2vYo4Ax5h7yBcAhDYep8sdBNJUiIfDQdewV\nJ0WlYbAEKY0s5/3ICifWnMxwkoc5o488f3BwMBQcpE5BT09PqHeAPnVbBtDn9ggAG3IHOcL58GtV\nmHP0FmfRI8AYL99jXSFfMcJJLcIAxb5ALzvIBGggQz2f03W3A1BJwSvkupsxA7qxe/hZPg+y2z6+\nHuO9nXPOOers7NR5552n008/XZICke66yfUD68I8zZ07V/vss48ee+wx3X333br33nt166236tZb\nb9XGG2+so48+WkcccYQ23njjEO0GSYIHra+vTwsXLtStt96q3//+91q1apUkaYcddtDRRx+tY489\nVsXFxWpsbAy3A7jeYR8BmLB3AHklJSWqr6/X17/+dZ122mlauHChdt99d6XTaa1cuTKAt8WLF4dx\nEh3V3t6uGTNm6Nxzzw26EP2AvCdcHLuS847c4awzp9QfYS8jowhNLysrU2NjY9j32O+u74jmkhSK\n60CWNjY2BpsIwr29vV2rVq0Ke5M5RC6k02kdfvjhknLz8CGSCaOmmrU7mpAhngLAOSeS6lOf+pTm\nz5+vO++8UzfffLN+9rOf6Wc/+5mkoSsJv/3tb+fkDyNH3eEEyY13VFIgnCnw+fGPf1wLFixQQUGB\nWlpaghOrsrJSL774Yvj3h93GfA2LgzcEEkoLJSopp9oXn5UUPG/kVLDR8D44U+peAzeqUa4IRYxu\nBzsOaFEibCaAjgNPWB82a3t7exgXxhGsBkLdQZgLeQAZ3kRJoXIowoKwYg4FnliMFEIjE4mhGHaq\ni3qpdw+XIbyN8F7KOTtoQGHQBwzHVCoVyopjXLMOsEr8jHn0MCNXoIAGwOfg4GAodgFBgBHJFQ6d\nnZ2BsSPXgQPN4cYwQdCi4JwBIp+KaraE9vm+IIwZBqy2tjbHmGIt8RRsCB4Wafgs4CHBA02BnKqq\nqpwIBQqDsb6SAujr6+vLWTNAK/sezyktn6HG+zk7kkK/MDD7+vrC/YPkP7vHvqSkJKfoh4eqVVVV\nhUgAZA/nAcMZBc9ZIuSN9wEQAXr8270XnEeIJrzkpaWlOUY+isIJOknhHkZII+RMZWVlyKViDThL\nKBoUuoMNFB/vdQ8zgNS90vyM+SYkkzXwsErm1ceBUi0tHbpqx0MMAYGA03iNIQ0IQUOeYagXFg7n\nuCEbOMvoFZ7h99cxPv/3eG/sI0hYZFs8l26UIYf8rm3OI55Fzo+HUnLm/Dz6nJIWw9yy/zBe2M9E\nHrA+7tnyfeM6xXUE+p2cZdafz2GcSsMyhPMKo48dwP6gzwB39oZ76XwPQoK5VwfwwLxByDnp4WfA\nz7lHejmYdDIb45Bn8nsHuVSYx/bgOw5KsZkoHOiAm7FgZwGEvcUFl2gxOKRvyE5uMQBw8x3mFy8w\nRjbn1MmRDQmAStJll12mI444IthEHvbsV50wJwAzj9Tp7OzUzJkztf322+vLX/6ynnnmGd17772h\nkN2ll16q6upqVVZWKpVKqb6+PuS9V1ZW6vnnnw9Xh9XU1OiUU04JqRlcTQXQgGCFoGVPFBcXh+u0\nUqlUAHSeVjIwMKApU6aorq5OkkKUIBFP6D8cShTJgYyAkEVWIb/QD6RWNDc3h3PCuUYXUFEW0oU5\nhLzCqwsW8BB+7ArOLmegpaVF1dXVgThA53GuIOK7urpUU1OT87wVK1bkRFfmA8H0wSNZstlsiFIC\nryD7kEWsG3Jx1qxZmj17ts477zzdfPPNuuWWW/Tqq6/q+9//fogABQwnk8ngAaU+BXK+t7dXra2t\nQe5g/zc0NCiVSoWIDMB1eXm5mpubA/k/HiIVxgRAEf7SsMJAEDIJHpqBocHmc1c1LvuYDUwmk0Gp\nSsN3dfFvBAQePIxuSWFjY+C5ApaGiyIhZDlgKGv3YDo7VVFRkZOvgxdDUmAMeS7KnHGXlJSourpa\nra2tIUfG81/YTG5Y0CdYMvdOsrE9JDSe34GBgWBIergQh9A9TW1tbUFIwHyiaBmHezxgVh2AskYO\nSjBuWVOEiHtYmQPmkBBjhKGH26HsPP6d/UXf8Ap5GJR7Pfv7+0OYNMYRXizfZ+xHmGz/3Xht7F9p\n+DJ4FIWkEKKDMmEu3ePM/oXQcHLIwZF7OGisNX3hc4SvoahRHhg8kgIZ4gCDPcZ1PoQOc02M5xKz\nVoA5+uvh2ihgqnHjgcT77x4YDH/IMgQ5ewH5wD2AMLGubPH0sw6SgjHDHic8EqPCIwkArChRZAkG\nPaCa9QY8O0EI0cZ5duDnniTOCfLNvaeubNPpdE6oJ3LJw/uYHwx8isR5qCmgxY1tJ5swcD0ywv8G\nxEKWjffmkS+JRCLktLLvmHPy+2HWCd1kfZxcITLGjXyITQ/l9CgE9hS6jDXGyCksLHxXpXZpmFRw\nQtnzL9kj6DNpOCyTz6NvkMceKeXn3tdYUs7YAUpOsrBn0HNE93hkDJ4CPz/MB3qMPjFXrl+JqqG/\nkAjubWYvsh9juwXiCo8U4NvPoNdviAlfbAZJQSfSN/d8crbQl8hEbyOBQ/YW1+zli8hyeYAt4QXl\n8D6RK7khELjf+c53tNdeewUwLQ3fh0lYPGuFTdjc3BzOMKCL/SQNEQwf+9jHtPvuu+uCCy7QX//6\nV/3xj3/Um2++qebmZi1btkwvvPDCu/qy99576+STT9YBBxyg7u5urVq1Ss3NzUEnQfSl02k1NTWp\nu7tb9fX1Ibwe2QwIQ4fhxeUsUfTS9x3AC1vRdTHhvth8pJGhLylsxjMlBVm3YsWKAPhqamo0MDAQ\n6iO4DGhrawu2HtfCMO8AVHTG6tWrQ2QERKZ7HZ0QaWpqUn19fbjyjcgrrojs7u7Wm2++qZqamuCc\nwCnCmcOjiz5ua2sLZ425lYZTmEilKS8vD9GUTq5jE+2+++76+Mc/HiKQXD9UVlaqu7tbTU1NKi4u\nVl1dXZgjyOfCwsJATC9fvjwQ+axxeXl5uLO8t7dXjY2NgYh3Gf1htTEntnkIDQsA0PPwMWfMUCou\n7GFLfPM7MPFN7AqRSQPIScPXeLAZ8AJh0ME+uNHMIqB0vSoj4+S79APFA8D14kgOwpxFJYSX0BoM\nMeYRQ4u5Qkl6yA6b270WKEsP+8HgxxhnflyBeziWM6qABxSNNMS8IowYF32jv3gVfb1R/igxyADC\nCFw4MC7eTd9RsozP9xwAyr00GG1uBAFsMCpQ4igUBJj3wT03COk4RGs8NjwFCGb3UqdSKdXW1uYI\nP7wCNL9zDkDjnnZn9jGaORu8n8+zh2BmHdyiJAjXw4gj18gLZ2HAuLeC3xEaiNceBYin168WcA8s\n5xrWlP3GO6Th6484bwUFBaGaa5wfisJxOccY3XD0s878eAGSwsJCrVixQplMJpx32FoAMMaOE2+u\nlCFs3HCVFHIKqcIK2AG0OjDFuMDQ9jWFmKA/FGrzSBhYZCdukPH0HcLAPT+sjYdwQVZKw8BWypUX\nG0Kjv27QAxxYJ/c0cQ6YI0BODOoclLqnwGU0usn1C+AH4w0vB3uKUDbOnoPP2OuPzGAf+tj8vLIv\nCQd3QxGZzZ7hHew9B+mxzpCGvcqQkhDbpFGQM0b/AMN+RninA34ndNm3/m/IYPrj0R8Y7Ngt7rnw\nCC76TwQTe56zXFg4HNrH3NAHJ4wZD7qReeUs0vjMSKQq78Oug/DnO8yPnz3kAu8ChDqhMJ7bjBkz\nAsDApuN+SuwK9iDhmhCfmUxGjY2NoagjexAPE+u5//7762Mf+5hSqZTa29uVzWZDfuGrr76q7u5u\nbbbZZtpll12USCTU3Nwc7DmqKBPF48QfRfyamprU3NycQ8CwZh59g024cuXKEOFHmgfjw1PZ0tIS\nvKdurzvB5eQa0RVepJAz6CR0X9/wdYzIKW7QaG9vD3oAfYudzvP97m30RiKRUEtLi7q6usJniPDi\nXnIiwiZMmKDa2trwf2nI/mlubg6Rbz5O5oywYfY2dSYYm4fF46Qi51dSqH/CPoPocSxA+hOyye0N\nzp2HXfMOIqPQJdwjTN0TxxCZTCZUSf6w25gAKBsOA5ZJ9+bhL65U+IMQdsbTw4UwBJ0ZQaASG40H\ngoYQRlA4WHDmCubWQQr9lBQEOc+EgcZgil3wjN8ZYt8oLoy4KoTfIaAI9a2urg5gDXbbS83HsfQA\nTgfvDtIwhGGM/UocPiMNGafNzc1qa2sLys3ZL+aFNZEUDpoDFveYoIApBgGT454z9gMeSIwt1t2N\nJAebCHVnGxlPbKDwe/YXn4OxYm0wDAmzdEMIw2e8NzdgmXsYOPYPRiJjBfSxjzwiwQ0Vzq2HW/N/\nhCHz7t+nTyhF5pM1R6mwxnEuFwZzR0dHAEgY1/ze+4cscS8fc+PGMKykA0TPK3FgxHuIKHDPJLnM\n7klCtiCzuPKos7MzzI1XBcVohdhybw4kCAany1s/IxhJAGf2LLILAxfG2o1rQCRngX3jOUWcCYyg\noqIipVKpdwEizoyHlLqHlb2C/MOo8/2CDGEfMDeEXbKmLgvG+/mM9zQynd85aMDYcWPfCQz2yeDg\ncP0Anx/Xvcyxvwf952cbLwlnFD1Jn1weuOfZz6I0fFUK6xo318W8x1NO2LsOeD2qyM+VgxonSDkn\n/MyJXPYl/aQvyCTmiXMcAzzWgXnEs8RZdXnk5AxnmnE46HWSj/PsHk7IWAxuxo5Bzffou4N796L6\nXmQt8jUAetzQGchH7EDml6t8MJpdl4z3xllhvbm5YOXKlSEig32I3iCyY8WKFcHILygoCNeI4GyA\nOARsYNOxTuXl5ZoyZYpqampUWlqqlpYWSQrfZw2Rncw7e6y8vDw4OJqamtTe3h5ASUlJSY630MPi\nCeuXhqJUSGMj/Jrq2EuXLg3vZg9Kw/mXLs8ghh1g1tTU5NTnKC0tVWNjY3gPZw+A29raqokTJyqT\nyairqyucQ3cuETbrucYQAt3d3Vq5cmWY+5KSEq1YsUKNjY3BJsfxUFFRkVOxn4gr5Gyc9ke4rzRE\nUFCAzIl9vOF4hR3Qssf6+vrU3NwcAC34gJQiB7weWu2kPxFayB9puG4Kn/XwcRw/OCQgpT/sNmbN\nzYZzJYDSQzC6MYKi8UV2hQaQc0MiDuVB8EkKk+mhHYBOvofxRH/w+MEqoFQYB5vFDWnGyr2IMXOM\nUY+yisOJ3PPGQUCJIdCKioqCB4cKvK5A2eCuVPD8eMgtSoP3wwgzThSksyAOZhEu9AmDlTnFsAFo\n0xcEHXPGmsCqMx5p+NJjGBz6AZjlu56rAynhHjUnIzBYHZzEwANvF+NjXlypOLhljmD3N5RKm3gW\nAAoYSBAEnA1XtpwrfiYNJ9D7nDhJ40DNQ7UJ9c1HAAEsJQXFwV2kAE+fY1+TZDIZiidhnCITANh8\nFwOzoKAg5E84WcK5BUABzp1lRHBThIJIgmQy+S5CiHtW6TNKiH3L/sRbBPhzTwl/mBMUP4Y9IdNc\nuRQb5MyLK2PPIXQvrZMAHrrnoEAaBsX0371PhYWF7xq3R3D49RIUN0FWeaghz+OeVt7lvweU+Hfd\nmGa/jvfGPuZv9xoSyikNG0DSsNc4BpR+1ryiKmfDdZ/rsqKionCvnMtUdAB/CNujKFHsrUP2sxed\njEY/0NC1fM91lEct0Yd85DQ/k5Tz/BjYuD5krzgBiYxwWce/sQNiQMhZ8nVjXJxrTwXxfhUUFKi6\nujrnChkn2+mX9y22odxm4L35+uG58xBkPoZ8AHQk0sZlPecRMqm/vz8AC2wqQAd99jO+oTTW3r1P\nyHhJAfggC8vLy5VOp0MaBt5HJz441+jfZDIZigM5UUnIPZEuPIvCle4ZQ+8B2goLC1VdXR32M7oj\nm80G7zyVfNnbXV1doQ+cD/YIRCQ2D2fUyS/sC3SmgyrOuKTgWSSFh3Pf3Nwc8tfR3+hwABP7mjtT\nkVnUjsFTS96mpPB+AGBvb2/IQUWmEuba0NAQSBN+h2whr5UoAPInkVGsb1dXV/CsYtfSf/qcyWRC\nf/Ak08/e3l5ls9kQPZBKpXKAtaScZw0ODtU0wXHA+erp6QmA3u178miloXBtxgJR7dF/H2YbEwB1\nj0D8t3uNXMn652hMFM29XBhYoH+UM+W/KSKDoOd9nl/o3iBpuHgAxhKf4zNuxDg4xnAlvIS+wzBw\nADmo9Idno7wSieG8La8iCSvE2BD4VOJ1o9EZMMbjRicKB7CJ4YbSj0NeHXz7VTmeD5lvnZxRJWSL\ntef5jIP5c2DM3CEQAYO+Jr6G7A1Xum4ou8fdyQz2HcY24+FZfNaZfZ6JkHcDb7w32DBpONSU/YUA\nl4arYvqeduPFvX9+np1YoTn54Weef7OPHJSx5uQtOPNMfi7Khsbz2dMY3HjY6DN7mGfwey84hjIl\nDEUaBsX0g/wW9qaH7jEvqVQqh0zyXFond9xr4rk0bniioMlz9XlxoMgzXWYx104GUHxMUo5sgCzy\ntAnOjXt7WFv2kXufuCoHgwwCAWMZWQeL7qQU/3dQWVAwVACKsXO+kXPeV2Q444r343htDk4cGGGw\n4BFGl3DuWDcastl/555Il2WxzkW+OgHMz5PJoboLrDHFStwzS//dQ+jg14ln9IAb0Jyl2KPqoMrl\nkQNvzpQ/Px4fZ1PKvS+a+XSg7GQG7wWAeMqNk+gxAct68LN8oN/nwufaifB84NULmvjY8BBLw95T\nzn1MIDnpwZz63zGAp/ncOskck9d+Jp2o5t2c8Q2hJZNJZbPZQGoDgGpra8P+y2azwYBHJnuoPCHe\nRLsA1IqKhq7s4gxAhnN1EiGj7EOi7ohWQc4SRo7MQEdTjR49g81CCDEywteI2wfI9wYsE+JLoSDk\nP3umra0tADu8k8hoInUgIwGsODdSqZQqKyuDbnK9VFlZGT4P2CZfkyglPKRNTU3hfuTu7u4cvSEN\n59v39PSopaUlVBLGtqmrq9Pg4GAoMOleelJ6KOzjwJr1BNwVFhaG/eDvd9Kfq5WwP7weijuPKioq\nVF1dHT6PPUFUImsO+cP5Qi60traG+Ue+NDU15YBlvK14ZQH6H3YbEwBlodwgZZD83MM/XHF4Q3DF\nQAdhjNJCWcT5jC6cmUTPH4qVgXsBvP+MCUXroNa9GDwPZck72Cz5xuDKmt/DqsRGMXPhzK0DBhSo\nCzWe6++joEocUujzGnu0OIQof1eo/n//w7sBmIyF9/F+FC4/9/Eyz87wJpPJ4KmMFaQbbYRXxMrS\nx4myhmFyMOVhyM58s5+YIwyBkdji8dTcUwAIgClFcDpIhGxgnHjbUYSeD80zHbxIw97SgoKCUCwL\n0I9xVFg4XDQgkUjkVL6G/EDZAVLoI3moksI+YzxOckgKLL2TJuwj91I4CPb1RVH4nV+e28z3qqqq\nAnB1z7Ib/+xrxubvd0NbUgDShNS4UnJCiDMOiARg8j5AK+w0yjEfscO+cHnHOJyMisOxeQYNdhsj\nijnB2PF9xxq518zzwTnPnj/oct4JDdZvQziXUm46iTSsf9gb6LcYoMZ6Cj0m6V0ABZnnIMQbBGAs\n311Ge+6W6wuaAyYnLtg/DhKlYVnqxqEDIf8u88Qe8BB4J2sgfeIGWeu60W0U9zb6/NMvJ1e9urvr\nTCflmGNPJYgBVwz63C4gSsF1cQwWfWyQcsyLRwrFHtJ8ds7aAlC+5/PF+BKJRMixjwk6nx8nmTaE\nRnoK60JEDo4OxtXe3h5AADUzamtrVVlZGWSykxbFxcXhGj6uBAEcUWizrKxMdXV1QX6jZzhPBQVD\n0TzYjonEUMoF4AuCnauuSkpKQk0T8vkBHZLU1NQUUmBY2/b29lCMkpQRv3eaMwkIdzKH3Fn2Cvmk\nzCPOECIwJOV44vAGxvbbqlWrAlGcSqXCPuMqRAijwsLCnIJsEK2cC0A7xXsoxtjW1hbuA4eAYv0J\nl6YIEWMDQGKjMscu+7zOgacVcE99S0tLICjABHgrXWYPDg6n56H33V51bDQ4OJhzpeHSpUvDlWnM\nAbjJZX/sYPow2pg0uAtGJgMjjJ85c8Ii5BN2DkRiwMGm4LsOeB0sSMoxsjwkU8oNh3G2OP7D2GIA\nGisvN5QxWh1k07/Y6ONg+TUSGMsIJQfurihdccSej1iZOFCnH3zeDUkfN0IOFo4+u0fEQzX4vefq\noBR9bXyu+K4rKGm48iqHGkHlBgHzQj8dkPBcN3KdMSosLAwMGWvvBogbOM5KQ6r4nhvvzb1D0rBh\nCchyYytmyxFkDqT4Xfw8/z2hKcxnaWlpMFA8TKi/vz+ExeAt83B2lKuHpnv4E+yoNEzk+JjJoQC8\n0PwcxePHAERJ+1zBLHNeeS77lSIQnAv2rBuu7CWe6YrcizcxLubfizUUFBSE0Hzmij8Y9bE3EzAr\nDVfvZJ9jMANWOHcYAyhu9/piTBJF4OcRecXcAJglhfXFOGUeIIVcEfJsP3/01z0rsUE9EhgZry2W\nucxPLMvwIDM2n2/m2MPcnVjxkNHR+uFnnP2E99P1sescB1J8l5876Inf4QSHP8dzynkeRhyyI58s\nGgk8xcQ2ffB0Cwf3Pn/0w6vdQ5z5nnc948Can7muiPVz7P3w5/rnYgAqKfTJc9Bdp7nx7cZ4PgA6\nGvhkHl1HxIS870vfv7yPufb84PHckJN9fX1qbGzMIXvIr2deCXmk6iy5oJLCVXJeFIvc+/b2dtXU\n1ARCdnBwqDhOUVFRCKMdHBwM3j28VFz3QphuIpEIxXogTQnzLCoqUmVlZdAjEKrS0Lp3dHSovb09\npEawns3NzWpsbAzXMPl3WGv6wfWJ0nCIqJMQfI9iRETkoN+ZF0guihQB6ioqKkIeZ2FhYaieW1BQ\noJqamnDGIbMhjHkm5Gth4VCqSDKZDPmfAErIHMA0Ng1hsugh+iINk4jYQZBA5NX6nDjW4P89PT2h\nqJXLONaTfHEAcCKRCEUDncBE7jj5T6uurlZxcXHwULM/kL/gDIoTkQr3YbYxe0ARurESQpD6ImFo\njqQMXUDHYCtWkm4Ax4IRNsCFOZ91ZcSBc1AWj8+fy6I5U0A/HJjmU7oYpa4QMGhx22PA4S3me/yN\nIMdoiwEZ73RQyvyh7OL18vXh/3HorYPVeJ18zR3kcoBhYT20wZUhf/vBdyPacwZ4tis4XxcHUa7c\n+TceudgDExtSGOTe93hPbAjN96+kcH+sExwYY3gZYuMQwSXlGphSrseY77viYW3di4JiJdcF9tXz\ni2BoySvEuHKwKA3fBUrDaAR0uWzwxv7hOR6K6+e5uLg4hAqhrDj/HiLke9nHDBvtOX2ABSfHnAQi\nDCsekxMh9N29QO5F8TFiLCF73dvK/kcusIaw05wfjF0MH861E0E0xkfOlANO30PMFYaCn1/Of0ze\nSQo5Qj6GmIwb7y2WN06oOgCThmUZ+9y/6wA1lksO6tcks2JQ4tEvvl9iAi4mL10/xnYActZrEcR2\nAOfR15t9E8vztZHDMeHt3yHNBd3iMsD1LIRYHK7ua4fHgbPCmUskckNP47WISU3G5vPiNgSN/U4/\nnTDzZ/t5GAnUru3+4F30172cyGdIq5io9LXfEJqvO7otlUqFqt4lJSVqbW0NXkJkbjqd1uDgYPAw\nlZWVhSrmrBFAc3BwUJlMJuiJ7u7u4M2DfGxpaQlgCcA3MDAQwml7e3tDWG1fX1/wprW3twcwW1VV\nFSqVE/pL1V0iiACm5If29PTo7bffDusOKcvvuQ6GNjg4HCUgKUTL4OHr7+9XQ0ODCgsLQyVd9oNH\nATY1NQXPHbZyJpNRZ2dnGI87QwgHb2lpCcV1CBseGBgIuZZEMOGJpdBPVVVVCKfmHRQEZB0B6eRa\nUvG4qqoq6PB0Oh10ZyKRCCGw7pTBMyspeKzd6wxQ9ugwrnLzO1ghbSHZAbWkJyJv0L/YvBSWIpQ7\nkRgufugRah92GzMAjUN8PL/LAVk+D13cXBi6sRsLy9hj5YYL3+V3nnfpz0dJuuHjypT/8/4YUPvP\n3PiU3p0L64yDC3LYQrxzAB5C9egnhZaSyeFwRgcJ+foczymbK54P/z7rCePu8zsSAHVjwj3AsFAc\nAphkZ2d9vhFiDvpi7xzvi8cNqeHAG2MB77vvCw+J8OfQN/qC4ezz4J7h8dw8lI2xpNPpwMrGe9C9\nir6Wvn/Y437m2d94Pz1s1BtzWVpaGpQ54UuAU/ZDUdFQUSDPAWMsgBr648VK6A9Ay4kNnsN+5Tuc\nZ/dMOngsKChQbW1tyMcA4MJUIvBjmRSDZSrksh99L3Le8BbHRZjou+eQ5gP95LW4LGJe8nl66K/3\nNZlMhn5ilGMcczYJr8YAcAIKppnzx/tjLyYeJdY0fhegPT5r/izG46TXhtBiuetr5f/n306++c/9\nGfl0qgPJ0VoMSiCBPGeXz8Xedt/zrrNjEMI7MMSdIHbi0XW3pBzPjOvftW3xfvf+eW4r/WWPSwq5\ncLwTIk3KTbHx9A4nhf1+0dgT6rZD/PN4zuN9jQHpIf0O+lkLJ2XiOVtXAIqs9Och//yqGZ9/T5fZ\nEM4oe8PXgjuW6+vr1dDQEDxH6BLkZ3t7e9jDniuLPCNvEjDW1dWldDoddHRhYWHOfZPoIaLBAG0U\nyaRoJR5SqrV6Jezi4uLgVWMskC2rV69WU1OTBgcHQ6FJ3gMowrPZ2tqqxsbGEMEkKaT2ABiTyWQg\nKPv6+kJuKFFX3d3dKioaulKFuzMLCgrCVSSkSKFLCGcGRBF2y3fLy8sDUGTveUEdzjPvQLcwxpaW\nFjU3N4dzAHmUTCYD8Mxms3rnnXe0ePHinAKWkgJo5bmcR8/j1O99AAAgAElEQVTzhZRqamoKsqCk\npEQTJkwI5GFccFSS6urqVFBQoMbGxlCoiXXh3/QHIE0fsVMhGCoqKoJdixcf0AmBMRa5+n61MRch\nipWiKzEXfh4+szYAFKUVC6xY4bJpELYOCGOww3P52z0Q+QQx7+e5HorkfaQhjJzl93EBeBDkHEwM\nSYSGM7AcKGd/PDzXx+nvpO9ugCIk+SzPybd++YgDDI8YiAIgYM/8+/wO8OH7ww2XGAi4R9nHw+d9\nvj1HiWcztwB3ns/+oIJpPkbawyV9/2woHhZp2Gvo4Wt4tp0YQumxVxBsfB+hDqAFnEq5QB/P2ZqM\nxGRyOJwVBg6jzgmG2Dh1j17sIXJj1qMMYDI9P9KNSUk5oNv3O4Ca8btX3kEXz3dZw/OoDuveXPqJ\nYe2GB7m3jMM9J274eWgrHlZfPzdEmS/OSAzoHMS78pWGK1sWFBSEfhFmxlh83ZAnRC342Hw/8C43\nnDmzjIk1X5NSdNJoQzmf+aJW2GOS3gWwWVua77PRwAN7ZW0BqBNLrEksHzn/Lpdd9/g6xLLejbRY\nj7tXLwbgsd5d03jWNE7X9d53wDVn0fcjHgbkDfPA2XeCzomtGHzFNo3bOQ5Mvc/+eT/j7hX3KB2f\no5gkiAFv/LOR5i22Sdxgd/kcN+YEI3xN7xoPjbkkrBU5SE6k505jf/T29mrlypXq6uoKOYroEGR0\nV1eXGhsbJSkABkhYvFroa85CYWGhstlsIIWQ0ZWVlUqn08Hb6WtBWgv5hKxXaWmpamtrw/7m7vrW\n1taQu1peXq4JEyYEj11bW1sALJCb6XQ6kA6eWsE96TRSnpAn7PFUKhU8hH4bAdWFOzs7Azh3u8Oj\nsTo7O4PHGKCLpxlPIDYJ6TD0Dz0LOCUnt6mpSS0tLWHcLS0tweu9evVqrVq1KgBfwmw5V3h6mRMH\nnH19fcEzLSnoUmxx+gz49wi1/v7+0BcAut9TThHAvr4+LV68WE1NTTlpF5xxSIeioqECWRQl8qiu\n8RChMCYA6my8lAt+YgAaK7N8LQaBblzEYYAxg+iJz7zTlUUYYGTQ8P98StEPtRtI8VhpGI75nu1j\n9O+Vl5drcHAwxJqj+Nwg4bMcYm8OWKXc0DtXFJ6XEs93PG73JnhRFveEOiBjjp0JdlAYr1X8f4Ai\nXtKR1ilfkQbi+uO5drAZAy4fo8+RP8dzknnXhsDeenMvXxzuJQ3PsbOtbjg5MHEvX2x88jsHTaMB\nBw8J9RxONwZR8m7ESsPr6+/xM+OebRQXysfDRtlHACEasgZhTZ/ivSflXnuRL3yOc+HeCd+D7k1y\n0Od9YG96DqY0HObkJBrXBrjx6YZMHB5HH2Ivk68TjDbsuYfm02ISD6Xm1XFjoo4GkObnPk9rm8/p\n798QWqznXE7FACQmv/IBFP87bmtj8DtRynficG1/t+sB3wvoGXRBT09PiBKIjRt+FsvjfCQvBlIs\nw8faHIA6UeSeR/deQvTgnXcd6BEjXo043osOQkcCvmsCoHyX9zLPnjcfnxXmkfHE6xSTu6M1l2se\nUeKyfyR5z7uRxRsCSQSxgDytrKwMoY9O4pE3x72ey5YtU2tra4hiWblypbLZbIgQamxsDAAokUgE\n71Vzc7P6+vpUXV2t1atXa/ny5erv7w/3ZUrK8cgSmeBFjCAaqdxMrQvCZROJhGpra1VdXZ1zFzhF\nAP0cEJ4KSOL8UdCIfYjO4Y5SQnkHBgbU3t4ePKgAZGQ9MqGpqSlcPSIpePK4+5QrVgCxRCQBHhsb\nG0MhLq9ZwZwR6gvgI8SXK9cIY6XfAN7+/v6QYwsohmRgvhl/f39/TtgvYdKsJSHHeFORMR42jFec\ncwKgXrZsWThbhM6mUqlg0yQSieC1JgWAFKumpiYNDAzl8OOZdzKstbU1J5WFmzY+7Dam2EKEjru5\nYw+bC/rR2Nh8wtA9LA4SaC7MCWtwA4ZN4exbLGz9Hc7i8S42GoffK1jmCzXMN0cudN2QkIar2pKM\n7DkvPm5JOcyGAyhvbiR4ng3ueOY6n8KLDRG+x2djABp7HPm8593EnjFX/v5u2DrfL/E84s2NgZTP\nJ2uCce+eKt8/Tiz43sCAjvsQ74UNoTF+BLPPkZQLQAGBhMAwbw6SmB9yRTkTcfiZPztfQ4l78QGe\nL+UaiO6VwQDk575meHs9p5Ux8z0YPx83CofxoiQYS75QQuSd54M74+p7HcY6Do9zeePnDSDo+9MN\nPGec+TxKjaIUTijEhE2+cwWRE1fuZIwocjyb7uGiP36HLP1kn8QA1D1ssT4g/HlNcjUeA+PdEFo+\nAOr7bTRwKuU/W+9VJsUEW753uE51csMbxfQgM/y8JpPJYPghzzmbIwFQlzn5CJSxjlEazquObQkP\n00NmuvxERkJYcT7oHwQy7/B5I+SPcfNul7MxoPc+O1HmNgJFZvKNdSQyd6wA1J/htgMydU1rAiEV\ny4Hx2jo7O4O9hHyLSXei1rifM5lMqqmpSWVlZaFQDmG7jD+OlMHL2N/fr8rKSqVSKQ0MDOjtt98O\nd2Ink0nV1taGswIA9BSZ+B3Y2hBBzc3NwavZ1dWl8vJyrVy5Muxz98iRR0k/vYgld1N6mGlBwVAF\nWQhRgGhPT49qamoCgYnMAPC2tLSotrZWq1evVllZWXDAcI5c/zuJwp4jF7Wnpyc4LxKJRADgfhMD\nnlbCo8mFBFB2dXUpk8kEgFxQUKBUKhXyawF46XRapaWl4e5UPKOs4cDAgJYvX67JkyersrJSixYt\nUnd3d5gHyAnmD1CbzWYDqHesQnEgiP3+/v4AJPFYdnZ2BgBMxBXzDaYgJJoCVdKwvVJSUhLAdmzv\nfBhtTADUNwX/j8NaY+Mnn3dBGh2AOiiJlRMb0r0b/n0m1YFxvnHECj72GLrCiAszrGmOYm+bPw/B\nTN6X5+0gZNyg9PAf73Ps/YVhBhyw8V2BxHMeAxSe5R7OGLi5YnIF7F5cN0byreFIytBBugMR/573\nk37wf88NHWmMsUHgz433Et/7sA/p2jTm1HPr6HdMnMBO8vkYeDMn/nPOnYMjztmawEMikQgspnvA\n8hFXDjR938feBPYpgpbxonAQvDEIKywszCmgAKgCPMXhvtIwsKcf7HmUUCIxfDeYh5j6nPoeiwEo\nc4qC9D4w57HcwZBwhj4GOiOtC2cEmUy+kaRgHMCm8nmXvShHACWg289+vP5OPMR9cQJrbZqHhq4N\nKTge2kh9jGWLA9B8311fBn38jpE+g14arbou4Cfum0fMINPJY/Lne3PQm4+wGGuL5bvbLk4w5dMX\nDjjz2QHowNgOYRykBPhz+exIgJ7PeVi6P5urLPKN0+2B+HcY9v6ONc2bnzHmBBk7WuN85tsT47EB\nqNCL5Fei3wA4vb29wTNJmkVJSYmqq6tDFdTy8vJQ9AaPoF+NUlAwdIVNS0uL6uvr1dvbq1WrVgUv\nXCqVUklJiZqbm1VQMFT5lZBN9BaF4ZykZB9yJQlpExSzSSSG8kfJ5cf7SIgmYyKXEPKHq2ecPPIU\nD0+hQsfjAcaZ0dbWpo6OjpDfSTTB66+/rpdfflnz58/Xiy++qJKSEk2cOFF1dXVqaGjQFltsoc02\n20xTpkxROp0O+p41IN8UoOU26N/+9jddeeWVqqys1Je//GVNnz496OmSkpJQbNBD6svKyoKuT6VS\nwdtdVVUVADPkbEVFRSjuNHHiRGWz2ZwaEejxgYGBEP1FVV1CielrQ0ODKioqgge9r68vXIu3atUq\nTZo0SX19fWptbVVTU5OSyaQmTpyYE01ZV1envr4+vfPOO2ptbVUqlcqpGcGaILfa29sDyP4w25ir\nq+AZihVEHFomKTAGGInOno3ExuULw6M5+MrXPIcvn3CPxxCDRMAW73KlEYfHjjY/nreRj/1GYHj+\nlStD94jg6YHlcLDv40S583Pi42n5PKCxscPP8cqQ5O7zztyh8Dj0/JtDSF5ePvAzkjJk7viMGzxu\nPPjnY/BMP+NxxXvGyYd83vINEYBi6MOAOWjyMWAw8u98ZzAG6b5evvdGO2feYEsdgMYkgo+D32P8\nxuQWY4AdlYZzGHmOG5b+Tv8OMsm9PPHeYA84C42CJuyQ+Y4BpI8Thc859/PjBmk+T03c6KODYQzW\nNTUHoHwXWe7huXGEiMtJDBE/oyjEfDJytHCftemzN97p4YHjveU7Y17Z2D/nhIWUH4C+V8M+nzz1\nFkeuoFs8jIvP5etPPj3uoMzPQtwg0dYXsRDLF/rLXHP2va8eQRMX2mF8XjldejfRl6/x3pHAYKxr\n1/ZsuC5fk900FgCK58QB+ZoaJMKGEqHglZC56gMPJ8CPaBdCRt0ryfez2ayam5uVSCSUSqW0cuVK\ntbS0aNKkSSFksrq6OnhKvZppNptVf3+/6uvrA9ACDAPgKOiDJyyRGKr02t/fr1WrVgUymSJHeHbJ\n/1yyZEkApl1dXcE+xxuXTqeDTYpDw+8wdRKa62V6enpUVlamVCqljo4O/etf/9Lg4NCVLxQQIlpG\nkp577jk9++yzeu6550KOpCRNmzZNq1ev1htvvKGFCxe+a4023nhjHX300dp1112D7KCYEnUK+vr6\n9NJLL+mqq67S/PnzVVhYqFWrVunss8/WJz/5SZ144olKJBKaMGGCJk+erIKCAjU1NQXvaCyn/vnP\nf2rx4sXq6OjQ22+/rVdeeUWLFy9WRUWFTj31VE2fPl1dXV1aunSpWltbVVFRobKyMrW2tqqyslI1\nNTUhHxRPKkWe2G9gAcJ8sfvb29uVSqX0/PPP6/bbb9dWW22lbbbZJoRbs0fducQ+AkwzprKyMnV0\ndKi5uVl1dXVhPdbmLL/fbcwAFMUZC9uRQvHwxnk1JxSMNLJi5t/e+CzGG0LOw8BY0Hx9ocXeltiw\nQoC64I7B20gtNqrzGWR+76H/zuc2ngM2qBd3coAL0+UeFZ8zDyUeCfT5zwGQhDzEIL2goCBUQHUv\nTRw6GbPmvobxGjl4j4Gfr4UbYe5t9gaI9+d6iw25fOu6JiNtPDUXKPGe5me0eM7jNhr4cCNnbcJv\naTCm+fLM/Ky4AeXnNH4P3yNMLt4DyJh84I294Qae7z3vI/uG73hxkThUKPbae19RFn69g5M3zsSu\nTYvPQ76c1ZEaZ9RDj/FkFxUV5RRsoDng86gW+uLr+EF4JCHY8oG48dhi+TLa/nS5no9AWRs9tLb9\nyQeafB+zzkQMYCxBWIxEOIzmtV2TR5e9tD7WNSYf/d9+Lp2EjIm10cbn9kK+uRwpusbDeuP+8tmx\nGohrIic8MmhNzZ0L7o1d2zWJyeHx3FhzahVg97AviAghhBLvnjSsN4qKitTZ2ak33ngjXB3V3Nwc\nQk+JKCkvLw82CxVVmdfS0lJ1dHQEwNLd3a3f//73evjhh7Vs2TJVVFQok8konU4rk8nojTfe0Dbb\nbKOKigotWrRIixYtUmFhoVKplJ577jn19fVpypQp2nnnnUOaDf2UFPpC5E1lZWW4wgSd4KGcgFu/\n4qOgoEBvvvmmHnnkEd1+++1asmTJWs15bW2ttttuO22//fbabbfdtNlmm6mvr09LlixRX1+fli9f\nrldffVU9PT1atmyZ/vznP+vSSy9VOp3WgQceqDlz5oQowtLSUmWzWV155ZX605/+pIGBAe2yyy46\n/vjj1dXVpR//+Me644479NRTT+mLX/yi5syZEzyqFBoCbD/11FN68skntXDhwnft35KSEm2yySZa\nvHixLrnkEu2www466KCDArlaXV2tgYGBEEZbVlYWcoL7+/vV2toaKvDiMU4mk8G7umzZshBe+69/\n/Uv33XefXnnllfD+ZDKprbfeWrvssovmzJmjTTbZJOSycj3NG2+8oTfffFOLFi3S4sWLtdlmm2nO\nnDmaPn16IDsY13goQjRmAIqAjHMoR2P/cNXDGOYLkfTnx+DJnyMpx/hxAOp9yfd9f44bkB5iwu+d\nhXYAuqbmDGdsUNMw8GN2EwAKCHUDFZAJ6KOfhDP4vPn8MdaRxuCGrM+jx517BU68NnE4Eu+EvRsp\nfzJmmPP9Lp9ydoPJQ41irxXz7kDd91r8s5H22kjPH6/Nc5ycnR8JvI3Eludr7DPOOH+vieiJWz6D\nKgag/rzRgI0DonXxuuUr4pEvrwsg5uAujjSgKAXzkS+sMC6q4vsKMDIWozv2aozFU59IJHKqaFI1\nEBLLZWucV4YyjcFuvrP1fjb3HI/3NhKQjL3d/tmRQFi8du+lT1L+aCInODE8MZIhePnjz4rHl+/f\n/H80Hc3arg8iYySSkn8T/eA/WxtiLd8a5QNc+c4E8zrSGPEMj/UcjQRY8417TY2+OdE/FkBMBNWG\nECI/MDB0h2RRUZHa29tDbh15h01NTXr55Ze1ZMkSrVixQt3d3ZoxY4Z23313TZ06NWcfUJ01mUyG\nokUtLS2hSM3SpUvD5/r7+1VXV6dly5YpnU6rqKhIr732WgBBzz///HqRb1tvvbXOPPNMTZw4MXhP\ne3t7VVVVFSrFkm5BISYi7yCZuru7QyRAfX29Ojs79cgjj+iee+7RM888EwD6wQcfrHQ6HYAUewB7\ncsaMGdp1111VXl6ut99+O1SohcDt7+9XJpPRxIkTNWXKFG255ZaqqKjQCy+8oOuvv1733nuvbr75\nZt1+++3abbfddPDBB+uRRx7R9ddfr46ODk2dOlUnnXSSZsyYoVQqpXQ6rRtuuEE/+MEP9MADD+hb\n3/qWnnvuOX3ve9/TpEmT1NzcrNtvv12PP/64FixYEHT0VlttFcKBp02bps0331wVFRWqqqpSc3Oz\nLrnkEj377LN6+eWXddhhh2n27NnKZDKqqKhQR0eHqqurw12iVVVVId8XfV9RUaGampqQjkAIdjab\n1Z133qlnnnlGkrTtttvqiCOO0KJFi/T0009rwYIFWrBgga666ipNnz5d2267rZqbm/Xaa69p6dKl\nOeteVlamRx99VI8++qhKSkr0kY98RAcccID2339/TZo0acP0gErDAhShvjbGUyIxHHrqRU3ytZEM\nx1iIYyDm88auSYDHBri7suPvutdvbZrPifRuRQb4zOcNcuXsDCy5ax4mTKgEpZrdAPYQopHCueL/\nx/NVXFycUykM49zv04znBcN0JGN8NGXoSj2fgSu9u9iD9O4cQp+D2KOWD+SMxOy6V2y8e1m8fwBQ\nhHq+szBWACq9Ow+UAgjvpY1EAPm784XSxoTD+jJWfX+591N6d6VJD6En5yfuP8/lD3Pn+d4ecTEW\nA1FSYOnp37o0DE32OuMaHBwM8sX3AKAk9uqMxSP+Xpv3eby3kQDaaEDy/fYmu94b7d3IYc4YBKSH\nII5GPOdr8b6JG+9YHy2e+9FIktEiLvI1zjFnZbS5zPeekc77uq75SLJjXQEo8o4/YwmVJ09wvBO3\nksI+7ujo0KJFi/Tmm2/q6aef1quvvqp33nkn5Hd6e+SRR3TNNddo11131aGHHqrtttsuhEcmEomc\nPNAHH3xQCxYs0EsvvRT2FmGx1dXV4e+33npLr7/+enjHzJkztdNOO2n//ffXrrvuqoULF+qFF15Q\nY2Oj2tvbw/2feN16eno0YcIEVVRUhEq0ixcv1qOPPqpTTz1Vs2fP1mGHHaaamhpNnjxZJSUlWr58\nefDOtrS0qL29XV1dXXrjjTfU3Nys/v5+rVixInh9S0pKAkhqamqSJG222WY6+OCDtf/++2vGjBnK\nZrNatWpVDiDn7mu/v7SqqkqrVq0KNiR2bHd3t8rKykJV4GRy6EqaT3/60zrhhBP017/+VTfccEMA\nV9JQbvTpp5+uHXbYQclkMoC+8vJydXR06LOf/az22GMPXXnllbr11lv1yCOPaIcddtCDDz4Y9PaW\nW26p2bNna4899tCMGTNUUlKi119/Pdy4wTmYOHGifvSjH+mqq67Sf//3f+umm27SggULdOaZZ4Yr\n5/Cid3d3K51Oh2tnEomhehhtbW2aMmVKCK3u7OzUNddco8cff1wDAwPaZJNNdOqpp2qXXXZRYWGh\n9tlnH82bN0/Nzc164okn9PDDD+uFF17QG2+8IUlKp9PaaaedNGXKFG299dbacccdVV5erldffVVP\nPvmk/va3v+mpp57SU089pUsuuUR77bWXLrvsMs2aNet9PVtrausEQBGQnq/oPx+twaitq/Eag558\nSnBtwCJGOgoCj4SPIwY9aytM8c6MxBBjfOQT6DCyMTvqXgr65Hls7pHiGRiFo3knRjMGKNvtOXhO\nDozE0sdVPeP3OciM20i/y2cw8Sxnnvm3V/N14z8fmBlJsY5mpI23lm++RiNORvP85vusz7MbXO/V\nUPQzlo/8cSMv3/fWNjd7bZp7jgE3fg4xwgYHB3PyTennmrzpcXg/8tMLR60rAH2vHiOvvAdLSx/d\nEwJ56Lm8jG+ksb9fzVMDxnMb65y4vH6/AOhoHtB4P+WTI5yF0UDJSETyaKTn+m4+zli38HccObS2\n59BlRCKRyIkSGakf/p518XKuS1tXAOpz52Tb2jTywzcEAHrzzTeHEFa/oqu0tFSTJk1SQ0ODMpmM\nGhoa1NDQoG233Tbk5j355JN68sknlclktMsuu+jggw9WcXGxHnjgAT399NN65513JA3N51ZbbaX6\n+nq1t7cHELl06dIQEltUVKQdd9xRu+++u/bee29NmDBBpaWlocpufX29tt1225B6kEgkNG3aNFVW\nVur111/XwMCANtpoI7W2tmrVqlVavXq16uvr9fLLL+vKK6/UE088oSeffFK77rqrzjjjDA0ODoY7\nJ5977jk99dRTeuGFF7Ro0aI1zlkqldKhhx6qj33sY9p4441VVVWliooKJRKJcN9pVVVVKHJEBdbi\n4uJQBRa9xxVOg4ODymQy6ujoCIB38eLFqqurU0FBQfBofvazn9Wee+6pP/3pT3r88cc1bdo0nX76\n6WpqatKKFSvU0NAQcnmbm5s1MDBU0XezzTbTj3/8Y91111267rrrdN9992natGnafvvtteeee2r6\n9OmShq88o1jRkiVLVFhYqMrKSjU0NCibzUqSDjvsMG200Ub6wx/+EADoqaeequLi4jCGgYGBUPSp\ntbU13LNKzi9FnlasWKHVq1eroaFBRx99tPbcc09Nnjw5XAsjKYDZww8/XFtvvbWy2aw6Ozs1ceJE\nbbbZZmptbVVHR4emTJkScvU/8pGPaNq0aTr11FP1/PPP68EHH9Tzzz+vBx54QHfeeeeGC0DzeS7G\nItzW9Q4ajF9XHhhysZG8pudIwwrYPamxwF4XAMozR/reSO5vz8/yxvgA7oQ1eJU+3oWhGHsRRwrB\njRWy98WL1cRGJ8Z4vmcyjpGU8UheK8Y2UuGV2GCKf+beIK9s6iX1x7JP4/L9G0oDTEkj53mOpTnB\nIeXP4V2X5p7MfIZfHP7qP5fWr6co9oB4qD/Nz0O+7+b7Hb/3Pe8hv3gaRvpuvsa59eJF77WR6+eM\nNMYOwNlJr7g/jPODamPdwx9WG+ucfFBzmU+eSrn3RbPH1md/1kRCrs8WA+18obgu58dCrCWTyZyK\n89K7U5Hy2Q7YP+MZgPJZdPy6VLQd71FDtIceekiDg4OaPn26PvKRj2j27NmaMWOGqqurQ04mOXzk\n6s+dO1f77LOPXn31Vf35z3/WX/7yF91///26//77w3MLCwu1zTbbaMcddwzeQTytra2tymazKikp\n0dSpU9XY2BhCYgcHB1VXV6eBgaGiRZlMRo2NjZKkqqoqVVVVKZvNhqqohL9WVVWpv3/oTlPuBS0t\nLdUWW2yhiy++WPPnz9cvfvELPfnkkzrppJO02267aeHChVq+fHnoc3FxsWbNmqVZs2YplUrlFNcD\nlE2dOlVTpkwJ+5z5AXh1dnaG+9rb29vV3NysVCqlwcHBALZJWUmlUiotLQ05mUVFRaqpqQn2QGNj\no9ra2lRZWRl+Ty2UnXfeWXvvvbfq6upCqLSnHlVWVoZCSZlMJoxl3rx52mOPPdTX16e6ujo1NzdL\nUphviFhsUeqgpNNpVVVVqa+vT8uWLdPAwIC22GILnX766Xr22Wd1880369JLLx3T3isoGKpmP2HC\nBO29997acccdVVdXl3NlTWlpaQhpJuezsLBQEyZMUF1dnTo7OwMYxTGFx9XXZ/r06TrttNPU0NCg\nZDKp7bbbbt0PzXpq66zBMUidgf8ghGk+g5CS0u6NXVNfXAlKw56EfHk5tLVVwLExOtZ5yQfOUQYY\nrR7CCxiNWWsfI16MfH0ZSVG4osw3L6PNx2js+GjGNuFdawtAMYoxLGCkmav482MN19xQjNy4xWGs\n6+N5TtKsD6+b9200j/lIoYrrQg6N1hiP54zF+3C0szKaUR2fB3KlUYrraox7vt57bcgIJ2k88mKk\n6AxJwWu6IZI173dbFw+o9OECUIgfopWk9QsoAHvvd8sHQON5jVNx6N/aNK9H4AS4PzsfQftBRwyM\nRvqO9p0P2lv7YbSzzz47FPMpLi4Onqe2trYgt5PJZCjkQ9XZ6upqTZ06VaeccopOOeUU3X333frH\nP/6hdDqtLbfcUltttVXI/eP6HMBNOp3WsmXLgq1SVVWl6upqFRUVBXCJF4sziO6laBDeREmhgBKE\nO95Ib7vvvrt22mkn3Xrrrbr55ptDbuDMmTM1c+ZMzZo1S1tuuaWKiorCtR6dnZ0BLJaWlmry5Mmq\nq6vTSy+9pM7OzlBVl3xXCMp0Oh2uQ1u+fHmobYJt29LSopKSEjU0NKivry/cS51IJFRdXa2enh61\nt7fn3FFOTi42XiqVUjKZVFdXl1auXKnBwaG7q9va2lReXq6qqioVFxeHKvW1tbXKZrNqbGxURUVF\nKF5EISZp6DwTOk0V4YKCgncVXgJIQ1LMmTNHu+++u+bPn6+amhq1t7fn3I3K+JPJpBoaGrTRRhup\nt7c3FKjiDtDGxkYVFBQonU6rpaUlhHV3dXWptbU1POxRd0oAACAASURBVIOCVHV1dVq8eLFaWlrU\n09OjVCoVzjp52JWVlers7FRJSUkgNrjPNJPJvJ9Ha41tna1rDmJ8RcIH3WDmAWVjUSAekun5gjGA\nXBfj0I309dUoCoRR7mPnZ65w3RuKN3Mk4zhfQziub7bawxHzvXO0YgpxQQn3oLmB7O+hjdVTvyE3\n1n59rZsDxfX5XF8/f8/afnd9AlDeP5pMG42QcPmztu+CxFtXGROHCb/Xxnl3w9qvrZE0Ikm3oXg8\nPug2ngFoLE9jGbm+iSzaB1UAw/VhvrM5UgTNuox1JEA/Up8+DD20Lh5QaRhg/19sm2++eQASALyu\nrq4wXsJBKyoqAvBrb28P/29ra1N9fb0OOuggHXjggeHqlN7e3gC4pk6dGuQjRj8VafF0AfIoXkM/\nli9frra2tgA+uIajv79f3d3dIacScIEzAlAHeEkkhgoI7b///tpmm22UzWZDWCketrKyMtXU1Kiy\nslLLli3TihUrQqgs9T+40YIwW/QBQIorROrr64OHk+tHAO89PT1Kp9PhWpo4+hBsgVeXtBfmi+J/\ngF7u2QSspdPpMBfkcALSCwsLg8e1s7NTLS0t4X14ZSVpyZIlampqUlVVlUpKStTV1RWeU1ZWFvrB\nXa6pVEoHHnhgqKSczWaDU6y4uFjpdFodHR1atWpVKPrU2NgY8oCpt1BZWRk8vYTpUsGW/PiCgoJw\nHyrX7hDy29raqtLS0mCPlJeXB6KAUGcA94fd1lmjeB4T//+wGh6E0XIw8rU45C4fy7euxsD7oWTI\nweTiX39+bIg7AJWGQybH0uJnra+xwDKNtcUsdb6fefhubBCsb7Ay3psXjHqvjfUnNGasbPqanr0u\na/N+eBEcRI3V++0h62N510gVo9fU+Pz6Bn75wv/jsP//v71/DTn/fuvUfPI0JnD/L3jAYj0Qh6TG\nAHRdxwox56TnBxFmvDZtXcbEdzbktV+blslkAvDr6urSO++8o7a2Ng0ODuYUzayoqAiesEwmo8LC\nQrW2tqqxsVEdHR2hki0VYxsaGkKINvejJxIJZTKZENKaSCTU1dUV0h9KS0uD95LCQEuXLg1Aq6Ki\nIgDfysrKAHYIfQXk4UEcHBxUOp1WIpHQypUrtXz58gBkMpmMpk6dqoaGhlCFtbu7O4StAmgkhfDP\nlpaWELLLWAcGBlRVVRWumUkkEsF72tvbq0wmo4KCoTs38dRVV1dr0qRJqq+vz6kiX1ZWFu69xyNK\ngU08oHiA3S5NpVJqaGjQhAkTcnI4CasF1AEeqUIrKfS5ra1N0lD12MrKygDsy8rKglzgnmxyXslt\n5SoXaQjkMWfMKbm8dXV1IdS6tbU1yB6uPQRIc38rBYoKCgpUW1ur0tLScP2Mp5eVlZWF/UeOKUWQ\nJGnixIkqLy9XNpsNRIuTyh9We08a7v1iR8faCC0d65UZroBjwEZbVyD5fhjHeDxHyjdzkOCfX1cD\n3z87HkLr6IMfnNGAUb6cPv/5/wttfe8/Qoj4//po67rP3g+SBxkwUrj6+mwxibeuBuIH4XkkFH+8\nGNT/19sHIaNi8tL/7WeLPbahrrtHOPF//500+r3da9tifTPS8z4MDyjG91jaSHbG/7WGzVBbWxvk\nHDc2kHpQUlKSk/KEx7K/v1+dnZ0h/xDiqKSkRKWlpUqlUlq9erUWL14cwNP/197ZxrZ1X2f8IUXx\n5fKdEqk3y5bl+LqJ0yWBiyLAsnUtmjXt0C37siEo2gLB1gEZhmH95O5DFvRDg2HJ0A4DBhTthq4b\ntgVb1xYdsCIb1iYosM0t8tYs8XVsybZkvfKdFCmSovaBeo4vGUqyJEqkqPMDgujN5P/+ycN7n3vO\neU4qlcL6+joSiYTM/uQ5h9kywzBktiPXQWMbXv9sbm5K2a7T6ZQeQArUQqEg2UFm/O7cuSMjdZgR\nZHbVPnInm82KUy/bMtgLyrLkSqWCxcVF2R9+TrDsNJVKIZfLyQ3McrkMp9OJkZERyY5SkLHiyOPx\nIBwOi8HcxsYGotGoZCBpKkTx5/P55LXizR+WLA8NDYnYHBkZkTVsbGwglUphZmYGtVpNejCdTify\n+TxSqZRkWjc2NkTosxqIz08RzLE9hmEgGo1K2XAwGES1WhURmc1mUavVEA6Hm65hKazr9TpisRhq\ntRpWV1fhdrvh9XpRq9Wk/Jk3M/h5tr6+LiOD+Bqx5NhewUDHZB5fIBCQLGw3OVCDm70ErNsfUAwS\nrute4LrtwmS7f7vX42NWtpM9hO2ysfbSKWYVWy9o+0WAMqBqtVpTeQuPr934GqD54sL+c2Vv2PtA\nO1n2ud8qg9YbDZ2iU1nje4Fl9cD+PmOOsuyVd+l74bNAOTjtBGhrBpAX08f5M9N+g5Lf238HNI9h\nO8g4I/u5drdy3KPc0/08V7t96keYJeLIDsMwEA6HsbCwgGw2KxlS+/nPMAyZn2kYBnK5HOLxOAzD\nkAwkK2Io1pjhYm8pDWby+TzS6TQMw5C1hMNhlMtlOc8yI8mxJMwWMktJwyD+nMfFDKvdZItVYjwm\nlsNSlAaDQQBALpeTnlT2qfIxODKF7/FCoQCv1yvluYODg0in09JXyywyBb7X65VyXgrGQqGAoaGh\npkTL5ubdUWDJZBLJZFJKc9kjy5hjNpiPWygU4Ha7RSjSN4VrY4nr0NCQmA+lUilxqq1UKgiFQjIu\nJZVKYXBwUDKmTqcTgUBAMtAs06bR1MTEhIhJp9MpWV72+3LNQEMgVioVjI2NiXhnv22xWMTAwAAy\nmQwGBwcRCoXEaAiAZLuZXaeBUjQaBXB3mgWfg6XbvRDTB1JHFH29cEFCU4+9lgbasx3t7lbuZIpz\nL2vqJA7H+40+2pVRtevj2W//Y69lPVjXzpIMfrDyDhDQ3lb/IEYvSgP7e62TMb/fjEC7eDhu8DP0\nOLw3KUaU/mC7DGg74dHr782daD3OnTKgwMFuaNkrkFqfw/79cfnc6rXz/2HAclv7WB1mn5aWlsSs\nheY0HAlSKBQAAJVKRTJzLBfN5/MiNijCmBhgaW0kEsH4+Djm5+fFabVUKklvn31sF41jcrmc9Ioy\nA8YxJxSJzApy3Mnm5iYymYwIsHK5LEJzcHAQfr9fyv6ZiaM5TrValexvsVhsKomNx+NS9gtASof9\nfj+cTmdT1o6lvfbrsGq1isXFRVSrVUQiEXFgT6VSki0uFouIRqNyjOy9LBaLACDZvnA4LOZA4XAY\nhUIBmUxG5oHm83kkk0kRvBRjIyMjIiqdTicymYxkC6vVKs6cOSN7ffv2bRHuzNTSKGl4eBjA3XGO\ntVoNxWIR4+PjTa9VqVSC1+vF4OAgotGouNWyZ5i9mnazx1gshnQ6LW62Z86cQTabRSqVEvFbqVSk\n1Njj8aBSqUgW3r6nzMryJka3ObBC4h2NXqDVhOZesBuBtMvk8mTRK9yLO2zrsRykHJiP3UsnS97R\noltna59ra4a4E+VVSnPFQCffDwfJZPaD8Q1PNL0UY8rJoN25o/XzsxcqnA6CvUrI/r39a3uJ7kHi\nkDdDtyv5Jcflc+skCNDW6QI0eKlUKvD7/QiFQgiFQtJTyNLa1dVVlMtlKRG1mxcFg0Hk83msrKxg\naGhISjdDoZD0ULIfkVlMurEWCgXJsDKjxselSRL7COnUyhvw5XK5qZx1c3MTuVwOmUxGMrLsHQwG\ngyKi6SsSj8flsfx+v5TNrq+vI5VKoVgsIhaLiQj2+XxIJpNN/ZX1eh2ZTEZMjQYGBhCNRhEMBlEq\nlVAqlSQryuygfQwNe2KBRmbw1q1b8Hg80n/rcDgQCATgdrtx8+bNJjHLv6PgY68uM5A3b96UETis\nIGIZNM2GaCzFDCz7OzmTk329/JxgOWsymUQ2m5WbB/l8HsFgEPF4HMlkUoyGmGU3DAOFQkFedyZV\n2M/JjDFLoYvFIsrlsmTVKWg5H3RsbExG8NCUKBqNIpfLSeuU1+tFPB7f11ilw+DAArQXDoLsJ+PY\nK32sB2E7AUrs7mJ7Za/OnkcF3c145w94/wB14P1Oo8f1Ne4VuJ+dFqD8UD+J8IaKohw19nPHdlUy\nvXSTeT/YReZ2x8HSxIMeZ7s+0OO8d7wI7+fzZjgcxtraGhyOu+Y5y8vLKBaL8Pv9SCQSiMVikv0E\n7t7stmfPFhcXpUQ3FAqJk2k+nxdBSHHF7OPa2pqUjFI4UjyFw2EYhoG1tTURyABk/Ei9Xsfo6KiU\nVKbTaWQyGQAN0xkAyGazSKfTkklliTDFsn1eOisBmRFldtXtdmNgYADLy8uyZ/bSWJbvUrzbM8gs\nTS2VSnj33Xdx9epVLCwsIJ1O4/bt27hz5w5KpZI87tDQEKanp/GBD3wA9913H4LBoDi6FotFJJNJ\n3Lp1SzKcN27ckNeOmT2uHQCq1SoymYz03bYyMDCAM2fO4EMf+hAuXbqECxcuSK8ozYgAYHFxEZVK\nRYQf958ZRt50Yqk1181WsVKpJKN0eIODz0OXYGZzeTPa/p7kHrndbuRyOTidTgSDQbk56PV6ZQ9o\nFjg7O4vFxUVks1kpKQYgr+mpU6fk+LrF8Rxy2EEoWI5zBsJ+1xVA25Lh/ZpI9Oqe8EOOIhTY2fBh\nv0YvSjO8c9bp98VJFZ9E35dKN2iXsWuN7eP+3txp/fbs6EH6P4ldgPbquXMv7DTPu19YWFjAxMQE\nnE6nXODzveByuRAIBJrGhBQKBRSLRTH4oYA0DEOMazgKhKND6FuRz+fhcDgQi8VEoPL3dFSNRCJN\nxpg0xGH2jxlGjh1xOBqjOIaHh7GwsIBCoYCFhQXkcjnMzs4imUwCaMzeXF5exurqKubn5zEwMIDP\nfe5zuHTpkvR5V6tVhMNhAJDyW44rYe9hoVCQdoxQKISJiQksLy9jZmYGS0tLmJ+fx61btzAzM4Nb\nt25hYWGhbbmnYRiYmJjA2NgYJicnsbS0hJ///Oe4cuUKrly5In/ndrtRr9f35drq8/kQjUYxNTUl\nJarswcxms3jrrbcwMzODGzdu4KWXXgLQyGiyf5Kvj13AORwOjI+P49y5c7hw4QLOnj2LWCyGaDSK\nWq0m8zpnZmYwPz+P+fl53LhxA7lcDqdOncL999+Pc+fO4eLFizIHlT2ozLrn83ksLi6K8HU6nQiH\nw0gkElI+zRLlTCaD+fl5pNNpXL16FVevXsW1a9ekR3Q7crkcvvzlL+95TztJf3+y3CPHXYC2KyNq\nPen240mEpkT80G9n+tR6R/q4X0x1G+65oijHn3s5dxx3djPTsWeBO3ENwOuJfuifPQl88YtflAv8\nUCgkooXuqGNjY9JbB9z1BWE5I41t/H4/isUiNjY2ZKwGBUmpVMLCwgIymQxWVlaQzWYxNzcnWUCK\nG6/Xi1OnTmFychITExPy/Cxftbv9U9TRYXV1dRXXr1/H3NwcVldXkc1mtz1mZrYvX76Mxx9/HJcv\nX0YwGBSzmmg0Klk2u4HQwMAA3nnnHaTTaTFPmp2dxczMTFMmk4TDYTz44IM4deoUzp49izNnzuCB\nBx7A1NQUQqGQzNBkD+j6+jry+Tzeffdd3Lx5E2+++SYsy5LXZHR0FJOTk4jFYhgfH8f09LTMaY3F\nYpINrFarWFtbQyAQkL5LwzDE8bdUKsnMT5fLhTfeeANvvfUW3n77bVy5cgUrKysIBAIwDAPDw8My\nHge4Wxb8yiuv4JVXXpFj5XuAWWg7LKN9/fXX8frrrzf9bnR0VGaxplIpZLPZXfszmUV3uVxYWVlp\nqqByu90wTRPnz59HKBSS1kQ6KLtcLoyPj+MLX/jCjs9xFOiVJO7OuTuuJ4pO97EcJ+wzYNuVCrX2\n/5yUfVEURdkN+7njIDMwe52dehkPQ4DaSyb7cT/7iUuXLsl4itu3b4sY3A97zdaFw2FMTU1heHgY\nbrcbc3NzmJubw3vvvXegNcTjcdx3330yb3N6ehpTU1Myd3NzcxPz8/N44YUX8PLLL+MnP/kJnnnm\nGTzxxBNi+ONwOFCpVFCv11EqlfCDH/wAL7/8MlKpVNPzeb1enD59GuPj45iamsLFixcRj8dFuLvd\nbqyvr8t4GY5HYVktDYI8Ho+YNiUSCemjzefzMi6GGcy1tTXk83kYhiHuvDTd4etHYco5mX6/Hz6f\nTzLcHMkyMjKChx9+GFNTU/jsZz+Ler2OZDKJRCIBj8cj5dAejwd37txBMpmUm0zJZBKvvfYafvaz\nn8GyLBSLRTz66KOYnp7G5OQkJicnce7cOUxMTKBarWJ1dRXXrl3D0tISZmdnYVkWrl27hjfffBM+\nnw+RSATnz59HIpFAPB5HOByGz+cTZ172zbLftFAo4OLFi3jwwQdx//334+GHH8b09LT0JNfrdRQK\nhSZH4Fwuh2g0KsZJ3UQF6BbHWZi0iiz7z04CdHfjHCQ7duMcfq8oiqK8/+Zlv34+7iZA+f9OHL/d\nLbxf97OfePbZZzE5OSnlrfPz85ibm0OtVkMikYDD4RBDocXFRayurkq/Yb1eR7lcRi6Xk6yjy+WC\nYRgIBAJiXsRrlPHxcZw/fx5nz57FhQsX4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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's also plot the model and the data to see if this all makes sense. To do this, we calculate the conditional distribution of flux using the posterior samples (here, we're using a random subset of samples, although this isn't really necessary), and plot the distribution median and it's median-centred 68%, 95%, and 99.7% central posterior intervals (corresponding approximately to 1, 2, and 3$\\sigma$ intervals if the distribution is normal). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "flux_pr = array([lpf.compute_lc_model(pv) for pv in fc[permutation(fc.shape[0])[:1000]]])\n", "flux_pc = array(percentile(flux_pr, [50, 0.15,99.85, 2.5,97.5, 16,84], 0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " zx1,zx2,zy1,zy2 = 0.958,0.98, 0.9892, 0.992\n", " fig, ax = subplots(1,1, figsize=(13,4))\n", " cp = sb.color_palette()\n", " ax.errorbar(lpf.time, lpf.flux_o, mp[5], fmt='.', c=cp[4], alpha=0.75)\n", " [ax.fill_between(lpf.time,*flux_pc[i:i+2,:],alpha=0.2,facecolor=cp[0]) for i in range(1,6,2)]\n", " ax.plot(lpf.time, flux_pc[0], c=cp[0])\n", " setp(ax, xlim=lpf.time[[0,-1]], xlabel='Time', ylabel='Normalised flux')\n", " fig.tight_layout()\n", " \n", " az = fig.add_axes([0.075,0.18,0.20,0.46])\n", " ax.add_patch(Rectangle((zx1,zy1),zx2-zx1,zy2-zy1,fill=False,edgecolor='k',lw=1,ls='dashed'))\n", " [az.fill_between(lpf.time,*flux_pc[i:i+2,:],alpha=0.2,facecolor=cp[0]) for i in range(1,6,2)]\n", " setp(az, xlim=(zx1,zx2), ylim=(zy1,zy2), yticks=[], xticks=[])\n", " az.plot(lpf.time, flux_pc[0], c=cp[0])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BlXNx4lGL2elHDxoPeg8c9L2zXugcdBxyvByXz8tB4+x+0iR5TDa1OFLzZ4oM\nA7/pZ3I8yFNnIwBcv5vCLZs83EgNODIREekFz/O4v7LBzaUsmXyZ83MRZsajjEVDB5rXs1OXnn3p\n2GTwRQbt3JUX8Zsh/GaoJ32E2/5n27YdbbLs1KH3PCLqNTrlUl7TnYi0cNAvrtPzU1xcSJCImNxf\ny5HMFFl+2GbMfRERGXrZ1CLp5F3csolzLw3AlXMxgkE/U5Od9/UUkf6LJM70rPl4J81uv2Lb9p9x\nHOcNANu2Pwz8HHC+JxGMmOPaNOQkGeS5PsnXuZsvrfp58jyPcGCRJ0/F+NrbSa7e2WIqbrKdzvQr\nTBER6bOdB/flMpnU73F/fYaxqMXFhQSTiRCxaGQgcZ3ke7ScXEf9ue+k8PlfAK/Ytv2zwFngo8D3\n9zWqY+S4TemhL1Y5TgzD4NypGZ56mOe1m9WBh164Ms365vagQxMRkUPwPI9yxePqgxCeB5fPxIlF\ng8Sj6tMvMsraFj4dx/lt27b/DPBFYAV4t+M4m32P7Bjp5yhm7QqLKkzKqJubHmd2fI2FqRAP1vLc\nW00Tj3gksvdAc36KiBw75668yMbKW3j4efPBJIbh8vSZGNGQn5mp8QOledDR1U8q5R9lUDrp8/kn\ngP8P+CvAvwc+Y9v2k/0OTOSwNKDAaAiHQ0zELS6fqnY/v7t4HSP1ZVw3p77WIiLHlGdOcy81TTLt\nsjAZYnYyylgshN/vP1S6GotDZLh10uz2fwS+13Gc68C/tG37ReC3gXN9jUxEpGZhbpKnzub58tVV\nri9H+J5nNgn6vEGHJSIiB5DP5ykUy7z1oDqw0BOnYoSDJmPxMLfefBkYjZq5UTgGkV7rZBzrF2oF\nTwAcx3kF+M7+hSQistvs9ATRkI+n5nJki37eXHsXZc/E5w8ei77WIiLyyNpGilLZ4+pyBNNv8IGF\n1wlmP8vkxNih0+71tBAi0lud1Hz+Edu2my2/09tQRESaM02TuakYzyykeWMxhrOY5v1zM/iDGphC\nROS4ebi5xe2HFtt5k4sLEcIBP6a/d/N69nMsDpGTqJe1+J0UPv82UG/fFgLeB3wN+PWeRSEiI++w\nX1xz0+Ocny6TCJVYfJgl73pESuUeRSciIkchk8mSTLm8tVTtx//kqSg+n0Ew0EmWVESOu05Gu/2u\nxr9t236GaoFUROTITE2OY/o9np7P8gd3EjgrId4byFEulw89QIWIiByN9WSa7ZzLjdUIsWCJy2cS\nBEwfpqnpStgcAAAgAElEQVTCp8hJ0HUbB8dx3gKe60Msx5ZGVRXpP8MwCAcDPHMqA8DV+2E8z8fa\nenLAkYmISKdW15Ncv7dNoeTj6fkssWiwp01uRWS4tX3MZNv2R3jU7NYPPA8U+xmUiEhT7hpnEy5j\n0XPcXg+znd8kuZ1lbnZq0JGJiEgbqe0029kyd5ZzAMwvXCYS8hEsWgOOTESOSidtHH6CR4XPEvA2\n8Cf7FpGISBN3r76C5xUxKPGeUxt84Uaca0sRgtMpnjhfUpMtEZEht7mVIZnKcX8tRzRkcunUGIlI\nCF/5UdeJbGpxgBGKSL913edTRGSQ/D6DKwt5vnAjzvXlEO9+l8naxhbzqv0UERlqK2tJbtzPUq54\nXJyPEAkHiIYt8tvV9+9efYVyKb/zWlOliIyeloXPPc1tH+M4jka7FZEjc+7Ki6TWHQyjQmTm25lP\nfIN7myHWklmSqawKnyIiQyyV2iZT8Li9kgXgiYUIkZCf2ekJrr1dre1MTDWd2q9rGodDZHjtV/PZ\n2Ny2GRU+ReRI1eduy7iwMDvHcirJzQdZ5ia2ePLCgpreiogMqc1Ulo2NDEvreRIRk4unxkhEgzy4\n8Ws7tZ0AfjMEoFpPkRG1X07tnzmO869t277kOM6tI4tIRKSNhdlJnjyV5rW3kzxYvkfgwpusbSyo\n9lNEZEitrG/hPMhQrnhcmI8SCpnEIgEK2d3r1R8yisho2m9s6x+v/f53RxGIiEinJsdjnJ6JMRGz\nuLsRYjvnsbWdG3RYIiKyx603X+b6V/8F2XyFOyvV7+knFsJEwyYzUxOcu/IifjOE3wyptlPkBNiv\n5tNn2/Y/AU7btv2/AEbDe57jOH+7v6EdnVQqRSqVGnQYIn2XSCRIJBKDDuPQEvEY0SCcn4vw+k2X\nGyshgtNJnjg/r6a3IiJDpuiWWU9mWd7IMx61uHBqnEQkiM9XrQNRbafIybFfLu1PAT8EVIBMw3KD\n/fuCHiupVIof/dEf5dVXXx10KCJ99/zzz/OJT3xiJAqgC3NTPHl6m9dvbnF9JcIz7wpo1FsRkQG5\n9ebLQPPBfgoFlxsPMlQ8ODcXIRQwicdCRx2iiAyBloVPx3FuAB+3bXvRcZyXjzCmI5VKpXj11Vd5\n+eWXmZ+f72ibG3eWCQQj3Ftaw2+FWV7Z4MvXNlnbyvGRP3yRiFkikUgQC1RIjCWIBitMT473+UhE\n9re8vMxLL71EKpUaicJnteltnJnYXd5ZD7GZypFK55mfHXRkIiJS57oupYrH3YfVJrcX5kJEw36m\nJsYGHJmIDEIn83yObMGz0fz8PGfOdNbsI1/2gy9MybOo+EKUPIvT2xG23A3K/gTRMT/TM5NYRpG5\n2Skso8iZM8oRi/RSPBYlEvCw57L8/s1xbiymmZ0IcOncnJreiogMiaJbJl8os7SeJxoyeeL0BIlo\naKfJrYicLPrPP4CgVc3YWpa/+ts0mB4PA/AwmcMtlQFw3ervglsaQJQio29hdpKnF6pP028vZyiV\n/axtbA04KhERqSu6LjcfBimVPa7MbRArfo54NDjosERkQFQ9cADhoEk+4xEKmGTTZQKmyWSiWo5f\nS+bwTkcol0qU3DKe51EseZTLZfx+/4AjFzne9vYlmhqPcSq2ykxsnKV1SG7n2c4U6KwBvYiI9NPW\nVgq35HFjNQKAPZfF9BtM7dMVqVmfUREZHar5PIBEPIpbLBCLxSi5eSKRCJZRIha2WEvmMAMh0tkM\n/kCQbC5LIBBmK5UedNgiIyd5/zP4cLkyt0HFgxv3t1lZT1Iqlbj15ss7A2CIiMjRS27n8AoPufUw\nRCjg4/x0BcvvwzCM9huLyEhqWfNp23bj8K8ej0+18oG+RTXkAoEAhlHG5/Nh+g38polheMxMhLn9\nIMV21sUyPEy/RTZXIBqJks0XmRx04CIjyOczuDK/we/ePM2tpQwfuDKrprciIkNg7Z1Pc3czSM41\nec+ZNH6/sdNlqZFqO0VOjv1qPn+i9vM5YBn4n4B/ADyoLTvRQjv9PWu//b49/T4rQLWjPUChWB5A\nlCKj7dyVFzHNMDOxCvGIydJ6hsrGZ0hni4MOTUTkRMmmFsmmFnf+TqW2cUse11cnALg8m8cyfQQs\na1AhisgQaFn4dBznc47jfA74EPCDjuP8iuM4v0x17s/vOprwhlcgUK00DljVU2iZPmYaCp+lslft\n7+lWC6H5ogYdEumH2MQ5sKa4MBelXPFxYyXAWjKN543MdMQiIkPt7tVXKJfylEt57l59BYDNVJYt\n4wNcX50gZJZYOPcClt8HanIrcqJ10udzAmicCThYW3aihYMWlUqFcDBAuVwiELCIh01Mv4+1ZA6f\nGSCXy1H2DEqlEj4zSDqdGXTYIiMpHApycb46euL1lQhuyaBQUO2niMigbG6lub2UIpUPcHGmQDRs\nYZoaeFHkpOuk8PlvgC/Ztv2Ttm3/XeCLtWUn2lgiRrGYIxqNUnILRCIRyqUC0+MhUpkipYpBvlAg\nEAiR3k5jmRbbmdygwxYZScGAyYWFMcYjLrfXQmylC5TKlZ33NfiQiEj/nLvyIn4zhN8Mce7Ki2yn\nM6SyLndW8wBcnskSDRmU8iu7muaKyMnTtvDpOM7fA/4eMANMAf9dbdmJ5vf7sfwGhmFg+Q18Ph9+\nn7HT9HYtmccteRiGQa7W5Fb9PkX6wzJNAr4S9mwOt+zDubdJ0S2p6a2IyBGJJM4QSZwB4J1v/BLW\n9u9wdzWL31fhyXmXQPY/UikXdjXNFZGTp6OpVhzH+TXgZxzH+XHHcT7V55iOjZ1Bh6xHgw7NjFfn\nslpL5nBL1cKmq36fIv1lGJyaneDyXBaAO8t5vOJDtjfvDjgwEZGTxy2VWU7CdrbEhak8kaCBZWlq\neRHpoPBp2/YLtm2/A3yt9vfztm3/s75HdgwEAtVCZ8Cq/zaYGqt2j32YzAI+SiWXYrlCpVKh4vkp\nFtUPTaQfJidinJ0sEwuWeLC2TbnkUinrCbuIyFHKZnMU3TLOSvVh/OW5HH4fXH7vn9rVNFdETqZO\naj7/d+D7gYcAjuO8Cnywn0EdF9FIiFK5RDQcxC0VCYfDGF6J8ViQ9a08PjNIJpvFCoTZ3t4mEAyR\nTKUHHbbISJoYH8Py1nhqNkmh5OPORhTPQ01vRUSO0MZWGs8zeHs1jAE8NZcnYJn4fL5dTXNF5GTq\npPAZcBznm3uWqfoOiMeilNw84XAEr1QkGAxBpcTMRJhyxSOZLuC6ZXw+H9m8C0C+oKa3Ir106dmX\nuPTsSyxe/xX8RomnZ9cAuLY6TYUA0bnvHnCEIiKja++Abql0jvXtCsupILMTQeJhH6a/o15eInIC\ndPJtkLdtO17/w7btZwAN2woYhkGw3t/TrP/2Md0w36dbqvb3LLrV/p/q9ynSPz6fwYXJNEGzwvXV\ncVxjiu1MYdBhiYicCJVymY1kdqfJ7bmZMD7DIxgMDDgyERkWnRQ+fxr4TeCUbdv/Evgd4L/va1TH\nSMDcM+iQ5WsY8TZHqezheR6lMlQqFYolj0ql0jI9ETmYc1dexLTC+PwWC9Nx0gWTe+t+0rki2a17\nGt5fRKTPCkWXUsXHjdVqPujymRgTF36QJ9775wYcmYgMi06mWvl14M8D/wPwZeAPO47zH/od2HER\nqg86ZFZPZSgYJGRVlz9M5vCZAXK5HGYgVO33GQizldoeZMgiIys6dhYzNMuF+WrGx1kJk1v5bVw3\np+H9RUT6rFSusLq+zWIyyKmxDKdmEkRCGuVWRB7p6BvBcZybwCds254DLtq2fdNxnLajeNi2/WHg\nHwF+4Ocdx/n4nvcngE8Cl4A88Jfr/Utt2/6vgL8KGMD/7TjOP64t/1ht+cNaMj/pOM5vdHIc/ZCI\nR1jbThGLRthaTREOh/GSGabHwyyupim4kC8UiEQiZAsFxsZ8ZHNFJsYHFbHIaAsFA1w+FecLb65y\nYzXMH61sY2rQIRGRvjr3zJ/mP77usLz8FTxvjKdnNwjlfo+piZcGHZqIDJFOplr5gm3bY7Ztj1Od\nbuWTwP/awXZ+4J8AHwaeAX7Ytu0re1b7u8DXHMd5L/AXgHoB891UC5jPA+8FPmrb9hO1bTzgHzqO\n8y21n4EVPAHC4TBUXILBIFTKGIaB6W9oeruVo1ib57NYrPf7LA8sXpFRFwhYRIJwYSrPZtbCSb4b\nzwhoeH8RkT5a39yiUrG4uRIE4Om5TUJBq5o/EhGp6aTPZ8xxnC3go8DLwHuoFijb+QDwtuM4dxzH\ncYFfAn5gzzpXqPYhxXGc68AF27Zna8u/7DhO3nGcMvB54IcatjM62P+RCQYeDTZU/W08GnRo89Gg\nQ2652t9Tgw6J9I/P52M8FuDyXHVctLcfZKj4Z7DCcwOOTERkdGWyRTZSWd7ZCDMdzTEVh6lz37dr\nnfro5CJycnVS+Kw/svojwGdqhcFOSk+ngXsNfy/WljV6g1qh0rbtDwDna+t8HfgO27YnbduOAB8B\nGieG+i9t237Dtu1fqNXIDlTQqrZeDgbMnb8nYgF8RnXQIZ8ZIJvNYloh0uk0hj9AJpMdZMgiI21+\ndhJ7LofP8Li7mqVS8XZGnBYRkd7JphbJbt1jdW2LG4vblCseT8wW8fzTTIzFBh2eiAyZTgqfv2Pb\n9lvAdwCfq/XT7KTw2Uknq58Bxm3bfg34MeA1oOw4zjXg48BvAZ+uLa8PEftPgYvA+4Al4Gc72E9f\nhYMmnucRDgcol0tEYzEq5QKTiRAb23kw/OTzBfx+P5l8kYAVIJVW4VOkX6YnE5D4EDPjITa2XTbS\nUC5rlGkRkV66e/UVyqU8rpvD2/4S76xWW5zYc1kClp9oNDLgCEVk2HQy4NCPUe13ectxnKJt2wng\nr3Ww3X3gbMPfZ6nWfu5wHGcb+Mv1v23bvg3cqr33Sar9S7Ft+6eBu7Xlqw3r/zzwax3E0ldjiRgr\nm2vEolFW11cIhKKYvmrT27WtPOtbeWYT1ZbCbq2/Z1H9PkX6JhQKEQ0bnJ+LsrJZ4NpyiOlEge10\nhngsOujwRERGiudBwa3wYC1HJOjnzKSHWZuKTkSkUcuaT9u2681tQ8B1wK01gc0C1zpI+yvAZdu2\nL9i2HQD+NPCre/YxVnsP27b/c+DzjuOka3/P1n6fA14E/nXt74WGJF6k2kR3oCzLwm9UMAxjZ8oV\ny9w932fRLeN5HsXavJ85V/0+RXqtsT/RwuwkTyxU/wdvrIapVDySqcwgwxMRGSnnrryI3wzhYfL6\nytO4ZY+zsxH8PghYKnyKyOP2q/n8j8C3AOkm73lUp09pyXGckm3bPwb8Zm3dX3Ac56pt23+99v7P\nUR0F91/Ytu0B3wD+SkMS/8627SnABX7UcZxUbfnHbdt+Xy2G28Bfb3OMRyJo+SkDVsCPW6kWPncG\nHUrmePr8GNlsllAoxHY6TTBg4roulmUNNnCRETU1kWB6YoPJeIDFTY/tnEc27w46LBGRkRKIzJN2\ns7yzkgfgwmwI0zSUvxGRploWPh3H+Zba7076hbZK49NU+2w2Lvu5htdfAp5qse13tlj+Fw4aTz8F\nAiY5F8IBk0K2QiwWZTuXIhq2qoMO+fzkCwWi0Si5fJF4LMbm1jaz05ODDl1kJMVjUcJWhfNzUTa2\ni1xfDjJ2Ok8ul6tOkSQiIodWdEuUyh73HmYJWj6eODtGwOpoGnkROYEOXLCU3SIhi0qlQjwep1TM\nY5oWBhVmxsMU3DKpTBHXrY7BVCiUMAyDdKYw4KhFRtvC9AQX5qo9CL6xcoa867GebNaYQ0REOnXr\nzZe59ebLQLXweXfNT8GtcHo6TCxkYam/p4i00PLRlG3bD/fZznMcZ7YP8RxbiXiM+w+XCYWiWP7q\n4EKW6WduMsKdpRTL6xlCc0E8z8Ot9fvMl6BUKmGaekIo0g+TE3HOziVIRNZ4sJEnlS6o6a2ISI/k\ncjmKxTLOahyA83NhAhbYz/5FfD7Vb4jI4/Yr9Tx/ZFGMAL/fT71vvRXwU/IgYBrMT1VH1lxaz3L5\nzBiZTIZwrd9nIh5n5eEmpxdmBhi5yOiaGE9gGu9wdjbCN++kuH5vk/mZMIVCgWAw2D4BERFpaSOZ\npuIZvL0axvQbXD4dZ2YiroKniLS0X5/PO0cYx0gIWSYuELb8pAoe4VCIULFAPGKxspEFw0e+UCAW\ni5HPuyTisJ0tDjpskZFlGAazUzEuzmb45p0Ut5fzvJD3WN9McWpeD31ERA4jlc7xIOljK2dxdjbE\nWDxMNBwYdFgiMsTatvesTXXyceB9VKddgWqz20v9DOw4Coct3BzE4jHWUuuEwhEqm2nmp6LcuJdk\nbSvHdKy6bqE21YrnC5BKbZNIxAcYucjomp4Y4/xCjnBwnftrWdK5Ihk1vRUROZRKpcLq5jbOcnUA\nt/OzEfy+ElOTYwOOTESGWSftIj4JfLb2+iXg94D/p28RHWMTY3GKxRymaVLva2+ZPhZqTW+X1zOU\nyh6VSoVCsTrvp2VabGxp7kGRfpmaHMMyK5ydCeOWPFbufoHUvV+jVNJcuyIiB1UsupQrJm+tTOMz\n4MlTUWYmExrHQkT21Unhc9pxnJ8HSo7jfBH4EeD7+xrVMWVZFj4qwKPJlS3TYG4ygmHA0loGMxAm\nk05jBkJkMtVCZ6ZQplKpDCxukVFmmiaT8RAX5iMAOCsRymVY29gacGQiIseXWypzbzXFVsZlbiLE\n1ESUmJrcikgbnRQ+650S07ZtnwcCwHT/QjrewoHqE79grfAZCgQwfTA1FmZ9K0+p7FFwS/j9JtvZ\n6oTMgUCE1bXNgcUsMupmpse5tBAnYPp4ezVEqVwhk1N/axGRg8hs3aOYXeLW/SwA5+ciWD6PqYnE\ngCMTkWHXSeHz87ZtTwGfAL4C3AR+ta9RHWOhULXwmYjHKBbyRKJRXDfPwlQED1jZyFJ0q7WcuVy1\n35lhGGxrzk+RvpkcixGyDE5Ph8kUTe6u+0ml85TL5UGHJiJyrNy9+golNweey/3VVQwDLi2EmRgL\naxRxEWmrbeHTcZyfcBxn3XGc/xd4P/Bhx3H+Vv9DO54mxxMUi7lqE1yjgmEYmL7GKVcylCoe5XIZ\nnxUilUoBUPJMstncIEMXGVmRSJho2OD8XHVgDGclTDZfZm0jOeDIRESOH8/z2MqZrKQCzIwFmZ9K\nkIiFBx2WiBwDHU3EZNt2xLZtG4gCZdu2n+lvWMeXZVn4DQ941O8zYPmYHgtj+n0sr2ewAmHSmTR+\nv0m6VuNpWQEebqQGFrfIqJufmeTJ01Esf4Ubq2HyhRIZTXUkItKV0/afoOyZvLVcna7q/FwUv6/C\n5FhswJGJyHHQyVQrfxP4B8Am0NhG7WK/gjruQpYfl2q/z1wJIuEQm2mX+akIi6tpsvkSllFrelus\nDjbk8/lI51w8z8MwjMEegMgIGk9EiEdDXJjKc2M1wr3VbSbHgzv/fyIi0t7aRpKyf4a3ViYBuDAf\nYiIRIhJRzaeItNdJjuu/Bp5yHOec4zgX6z/9Duw4q/f7jEfDuMU8kUiESqnY0PQ2S9GtluOtYITk\nVrXG0wpEWFczQJG+GEvECfjLXJ6rNm+/uZQlmy+zsalRb0VEOpXOFNjKwP1kkKlEgFNTccbikUGH\nJSLHRCeFz0XHcR70PZIRMjmeoFDIEQyFwKsWMgOWf9d8n+UKlEslDMPYafrn8/nYSucHFrfIKDMM\ng4WZCa7MPMBneLyzkqFQLGuwLxGRDtx682VuvvGvWF5Lcn05BBicn4tiWTAeV62niHSmk5mAf8q2\n7V8APgXkAQPwHMf59b5GdoxZloXpq/b7DFp+KkDQMoj7LCIhk+X1DP7AAulshrHEGMUyuK6LZVkU\nSlAoFDRinEgflDY/TzRQ4MJkilvrYyw9TDM1FlRzdxGRDhQKRVzPxFmpFjYvzYcYi1okEvEBRyYi\nx0UnNZ8fAT4K/C3gJ4D/pvZb9hG0qqe2PuhQLBbDLeRYmIpSLFXYTBV2ploJBMNsJqtNbwOBMPeW\n1gYTtMiIC9Ue6jw1W51X9+ZSlkyuzMbmo+but958mVtvvjyQ+EREhlmpXGEjleXeZoi5RIGFmTgT\nCQ00JCKd66Tm8weBC47jaB6QLoRDFtt5iEZDbG/ksMwAfp/H/FSUm/e3WF7PkAiFKZfL+P1+snl3\nZ9uKL8y9B6ucPTU7wCMQGT3nn/kh1pff4vJshk9fhXdWMuSLJbbTBaYmBx2diMjw8jyPfKHI9Xtp\nKp7B5dkcIctPQk1uRaQLndR83gRK/Q5k1NT7fUbCEbxStWBpmX7mp6qd8pfWMwRC0Z15PiuGSTaX\nBcBn+MgUDM1BKNIHwegCsdgEU4kAD5N53PXfZiuTx/O8QYcmIjK0CoUiFc/HneUMAE/NZQmHDMbH\n1ORWRDrXSc3n28Bnbdv+ZaA+MofnOM4n+hfW8WdZFn5fdTqVoOXDA8KhAKWcx2QixFoyh1uqUK6U\nmAAsK8hWKkskXC2cmqbFw80c4VCQqIYvF+mZYMDCly1wfi7KeqrIjZUQ8VNlNpNbTE6MDzo8EZGh\nVCpXyOQrLG/kGYtahGc+xMx4XP3lRaQrndR8BoBbwHuA99d+nu9nUKMiHKiW7UMhC4BoNErJzTM/\nFaHiwepmlophUshXWzTnCrsrmK1AmLsP1imVVPEs0is+v5+AZXJxLgSAsxymUCiT0kjTIiJNlUol\n8oUiznKIigdnZyOEgyaxqAZHFJHu7Fvzadu2H7jnOM5/f0TxjJRQ0MTNw1g8RnJpk2AwjOk3WJiK\n8tbtDZbWMpyemSOVzjETCuOzQmxtbTE2NraThhWMcevuCpcvntLTRZEesSw/Z+fHmI2/wzsbIR4m\n00yNB9X0VkSkidW1TSitc3P1HACX5sMEAzA5MdZmSxGR3fat+XQcpwx8+IhiGTkTY3EKhVx16hWj\n3gTXz8xEGL/PYHm92m+i4FZrNv0+P9vZx+ccNMwI7yyuHF3gIiMuYJmYvjL2XJaKZ3DzQZZ0rsS6\n+lmLiDxm7Z3fwHVL3FqLMx4pcWYmysxEHJ+vkwZ0IiKPdPKt8Snbtn/Ctu1Z27Yj9Z++RzYCAoHA\no36fwWolczQaplJymZ2MsJUpks4V8Zkh0uk0AAXXo1Kp7ErHMAzyJT9LK5qCRaQXTNNkLB7k6fnq\nIF+3lzI7TW+zqUWyqcUBRygiMhwKhQK5vMvbDxO4FT+XZwtEI0GikcCgQxORY6iTwuffBz4OLAPp\n2s92P4MaJfV+n/FIiFLZJRgMgedyfr46Otyt+1v4/SaZWo2nFQizurr+WDqmaZHMVFQAFemRiUSM\n2TGYjRdY3syzsrlN8v5/oOzmKJfy3L36yqBDFBEZuLWNFLnQB7m6Up2Pam7+CQIWTE9qgDYR6V7b\n0W4dx1GbikOo9/uMxWKsri+D3yJg+jk3F+ErV1e5eX+Ldz8xTalcoVKp4PP5yJf9PFzfYGbPxIOW\nFWAr6+ItP+TU/MyAjkjkeLv07EsApFLbrFbWeNc8/M6NU9x6kONStILhefjUv1pETqhbb74MPPqu\n3Ern2NjKcuPhOIlQiXOzUWYmYvj9/kGGKSLHVEcFS9u2p2zb/kjtZ6rfQY2Ser9PeNT0Nhg0Mf0G\n5+fjZPMlVtazWIEIqdQWAH6/RTrnNe1/ZpoWqRw8WH54dAchMoKS9z+DD5d3zVf/l24vpUlbfwiM\nAH4zxLkrLw44QhGRwcpmc2wks9xcylAs+7Dns0QjQWJhNbkVkYNpW/i0bfv7gGvA36r9XLVt+3v7\nHdioCAQC+IwyAOGgied5xKIxioUsT5ypNll5+34SwzDI5ss725lWgK1sic2kCqAi/WIYMBl1mUu4\nrCQLLK9v41kzhGOnBh2aiMjArW1uUywb3FqqDpD4zEKWgOkxPaUmtyJyMJ3UfP408J2O4/wxx3H+\nGPAh4H/ub1ijJRKszvM5lohTLObw+/2YPpgeC5GIBlhcSVMolql4BsXio9FuLStIctsllXq8i229\nALr4YPXIjkNklJy78iJ+MwRGgNNzs3ge3FrKUSp55AvFQYcnIjJQnuexdvuXqWx8hgfreSajLgtj\nZWYn42pyKyIH1knh03Qc52r9j9rrtn1F5ZGxeJhSuYTf7ydQO+MBy49hGDx5ZoyK53F7aQsrGCa1\nndm1rRkIsb5V2BkNd9d7pkW6YHDn3rLmJxQ5gPj4OfyhOZ48HQXg5lKGcrlCqaz/JxE52TaTW7il\nCteXw1QqHk/PZ7FMn0a5FZFD6aTwuWbb9l8CsG3bsG37RwC19+zC+FiCspsHHvX7jIRDlEouFxfG\nMAy4ubiF53nki6XHtjcDQVY2s2Sy2cffMy1cL4hz6z6u6/b3QERGjWFg+X2cno5xZiLP2laBh9se\n5XKFbDbXcrNbb768MyiHiMgoSqZyVCoeV5ers+tdWcji83nMTE0MODIROc46KXz+deBv2LadB3LA\n36gtky5Ea4XORCyC6xaIRCJ4pQKhoMmZmRjJdIGNVB7DH2xayxkIhFnZyJDafrwJrmEY+AMxbryz\nQmr78W1FpDXL8hMI+Hhmofpw5+pSlFLZY21TM0qJyMnkVSqspzIkMx53N0JMxAPMJioEAxY+nyZB\nEJGDa/sN4jjO247jvADMADOO43yb4zg3+x/aaIlFg1QqFcLhMFSqtZvB2hyg9YGHbt7fqs7nmcpR\nLj1eA2pZIdaT+aaDEAEEgjHur6ZZaTJPqIg0F7AsYmGTpxdy+A2Pt5YiFEtl0jn1+xSRkyebWmQ7\neZd8Aa4tR/A8g0vzUcqJP8op+z8ddHgicsy17Ltp2/YzLZYD4DjOW32KaSRNToyxsrlEMBglFPBT\nBhLxCGubWRamo4SDJneWUjz31CxWKMry6jqnFmYx9sw3aAZCbKYLlCubTE8+3vTFCoTYzJbI3V3i\n/Nn5x7YXkT0Mg7FYmFzI4NJMjhurEZY2/QTnXDaTKSbGE4OOUETkSNy9+grlUp5KuYyx9XmuLsUB\njyyFPuEAACAASURBVCdPRwgFDSYnxgYdoogcc/vVfP468KkmP78LfL3/oY0Wn89H2Kqe7mgoQKVS\nIRgM4aOCzzC4dHoMt1Th3kq1qZ8/GOPhWvMaTMsKsp2rsPqw+fum38QlxPVbD9QMV6QD8WgQv8/H\nM6eqTW//4P5lsrkSydTj/axFREaZV/GoVDxWUgZLW0HOT+aZm4oxMxFXk1sRObSW3yKO41xwHOdi\n/Qd4N/DPgTLwD48qwFESrU3KHE/EcYvVwUzCYYtKpcITp6tPE28ubgHVfpwlzyK51byJrWkGyLo+\nHiw3n2rFMAzMQJQHDzO8s7hCpVLp9eGIjIzJiTFM0+DJ2TyW6ePOSpbNVJbtXJFyudw+ARGREXDu\nyot4hkXFCPAH9y4C8L7TqwQtg/FEZMDRicgoaPsIy7Zt07btvwk4wFngOcdxfqLvkY2gqckxCoUs\nPp+PoFk99WOJBKVijngkwNxEhJXNLNvZal8zv2mRzpabjnIL4PebuAR5Z3GZYrF5/zTTCuJ6Qa7f\nVi2oyF6Xnn2JS8++xE/91E/xG5/6Vb74uU/z9ld/nXyxzF/7qz/CP/6H/xsP1x9/APSNr3+dX/rF\nX8QwjF0/H/vYx5ru52Mf+9hj67Zb/6d/8qP89E9+tG/p93v9ycnJpu/JYGiEZumE67p41iz5yiTv\nLG8SNEtcmXtIrPglxsfUBUFEDq9lh0Dbtg3gzwN/H/gq8Pccx3GOKrBesW37AnD7s5/9LGfOnHns\n/cXFRb7ne76HVu/32o3bDzDMCKtr6xTK1ZrQh2sbVHwhbj/Y4otfX+Jdl6Z43+WZnW3cQpa56QSW\n1XpuLbeQZTwWZHJyvPU6xQLhgMe507NqOnMCHfVn/bh54/M/jetW+MrG9/KpLy9xZjrMf/ah85xd\niGNfPLVr3W984eMAvPuDf6dv8dQLCpeefalv++gnwzA0//AQOe6fp+PkOJ/rxQerPHBe4a37fv79\n12Z47swqH333XaITV3jm/X920OGJyDFQz28CFx3HubP3/f1KIG8CHwP+f/beNcaS9Lzv+71v3c/9\n9OnrdM9953B3ubs0ZZISKVKUKVqQIVsyGVlOQEcKJAcBkgD5EkSG82F3gyARHSSIASuwoUiQAUuy\nJSGSJcYSrYiUxKUo3rnc6/Ts9Mz09L3P/Vr3Nx/q9Onume6entnpnVv9gEZX13mrTlWdS7//ep7n\n//xPwMuAXq1Wn935OYFjfSLI2AYAxXwO30t6fxbyGQLf5fRMHkOXLK22CaPdNFnDyrBVax45kTOs\nDB1Xsby6QXiAUy6AYVqEo1rQdidtI5Hy5HJrxG75rd+H2Efg8+zEaxSzBmv1IeuNDp2eR68/2Dc2\nCl2i0E2220MaXUpJSXlUUUrRHQaEUcxrq0mK7fPzbRAG59//2Qd8dCkpKY8LR4nPPElk9CXgC9xu\nPJRyD1TKeXzPxbIsdJEITMuy0YjRNcmlhRJDL+Rbb23u204zc6xtbOGNBOtBaJqO0LMsr9VptdqH\njjOsHGu1IdeX19Na0JQnkpdffvn2laNUUtOQXJrPEStYW3mTqPZF6o30Zk1KSsrjwWE3yWqNFr1B\nQM9VXN3OUMjozJQzGM4sjmM/gCNNSUl5HDm01cri4uK59/A4nhhs20aKxMAklzXp+wohBI5jMAxi\nXrg0yUajz9XVNtMTGS6cSoyIhBDoVp7tRp+MNWTigDYrOxhWhtYgoNvfZG6mgq7f/jIbhkkIXF5a\nY26qSKmYP5HzTUl5FDjzzGfo1BcRMiYsfZJnznX47jstXlvN8rGLfdp9lziOkVKOx+5sl5KSkvI4\n0GwP6A983lxziGLBhVM5DF1iGodOFVNSUlLumrTw7wGwk3o7US4ReEk6347xkCYlH//APIYu+cab\nG7R73r5tDcvBi3TW1rfwfe+2fe+gaQboGZbXajRbBzvmJvvLsV5PoqCpq2fKk0ymsECudIZizqKc\ns1mYcmgNDK7VTDr9gK1ac9/YTCGtmz2KF1988UEfQkpKyjFptjoMfEW37/G9mzmkUDxzOo8UCss6\n3G8iJSUl5W5JxecDoFTIEIQBQggytgYkkU3bTJbzGZMfev8sUaT4yvdWCcP9qbFS09CsHFuNLq32\n4em1AIaVpT1QLB/hiGsYJqFwuHxtg42tg3uHpqQ8KeQck4xj8MyZxNnx+ysZ+gOfTv/wmz0pt3OY\nE25KykGk9dIPllqzR6/vsrTRp943uTQ9YLKcwbEMhDjUmzIlJSXlrknF5wOgkM9BnAjBiVKB4Bbj\nIYAzswXed6ZMu+/zzVvqP3cwzAwDX7C+uc1wMDz0+TRNRxhZVjaa1BrNQ8eZVpbOUPD21RWarc69\nnl5KyiPNVKVILmNwbi5PORNwZSvDdsul3hy8p0Zdg84Kg84KkE7MU949e99PTwLpZ+Z4LH3/N7n8\n7d/ACwW9gc+b15Mb2n/zbA/LANNMU25TUlLuL6n4fEBkRl/olmVh6mq0nBgP7fDB901RKdgsrbW5\nunpw6qym6UgjS6MzZGu7RhAcHN2EpBa05wmuL2/Qbh8sLqWU6GaOzabH1Rtr9I8QtSkpjypHpYSa\npknOMcg7Bh883SOKBa9dazH0Ita3O++JSddRjrr3m3SSfjwe5ev0Xr6fUh49oe/5Ia1On83GkLW6\ny0TepDD7w0wUbAzDeNCHl5KS8piRis8HRD5njyexhZxNFCXtURzHGK9P6j9PYeiSb765Sat7eNqf\nbtooLcNmvUO9fnhbFk1qaFaWZj/i+s0N2p2DRaiuGyiZYXm9zbXldYbDw112U1IeNe6UEjpRzJLN\nmnzg7ADHiLiy2qfWGuIGcHNt+9Dtdiade4XK3YqWpe//5tjQKCUl5dHiURP6YRgSxdB3I76/lNzk\nfvpMgaxtMFHMPuCjS0lJeRxJxecDolwqEAZJVLFQKKDCRFgWCwWiYLenYC5j8tHn5ohixZ9/d4W1\n7d6R+zXMDAEmq+s1Wq0jRKimo5lZGr2QG0eIUMO0iYTDtbVmKkJTnhjKpQJZWycn63z4zBZBGPPa\n9Ta1epe+qwiC23vp7p10HifqcZQozRQW0HQbTbdTR92Ud82ZZz5zou+nRzkqfL+439fgvbimQRAw\ncH18P6Td87i2PsA2NZ49X8IyFDNTZS688DkuvPC5Ez2OlJSUJ4tUfD4ghBBk7d1aimzGGK8v5TOE\ne9JnT8/keeHiJP1hwJe/s8KXvn2TVu/wKKgQAsPOMgwNVje2aTYPF6G6ZiDNLM07iFDTdFIRmvJE\noVp/iSTgI2c3MLSYt5e7DDxFq9Nn6Ponnn77qDvqpoZDDxeP+vvpUeGkhf79YNBZodda5p0bm4Ak\njBWvvtMgiGIuzWfJmhqzk8UD27SlpKSkvFvSb5YHyHSlyPW1FoZpMzlR5trNLUw7Sy6XYzCsodi1\nN3/+qUkWpnN8+/IW67U+/6F2jadOl3jh4iS2dfDLKKVEWjm8WLG6XiNj65RKRaS8/Z6DphmgGTR6\nAc32BuVChmKxcNs403SIgGtrTRwdpqdKZDPOfbsmKSkPilvv7mcci4GAjBHx/MKQ79yQfPfKFh99\n/hSFmZ/CJ6TRbDNRTnrx7u3/mU7y4eWXX+bnPnsJuP3apqQ8zhz2+d+JZB72ebjT48cdc9R2upEh\n9AdESkHjFYauR28oeGu5i6FLPnBxgkxGY6KUptympKScDGnk8wHiOPbYbEhKScbSxo9NViYI3P0p\ntuWCzY996DSf/OAC+azJlZst/vCVJV5fquEFh/fo3ImE+spkdaNOvd48NGqjawaaOaoJXd6g3Tq4\nlYtpOkTSYXm9w9Uba3S7R6cDp6Q8apx99rNIzQJpUb34LFII3rrZT4w5tpqYVpbNprevR+7DEl26\nU8recVL60lTKJ4OH5XV+1Ex64N1duwdx3eM4ptPtEykQCLr9AQidr76TIwhj3n+2QLlgUSlmKBby\n7+mxpaSkPDmk4vMBM1HMEo7MhkrFHIGfpNNKKamU8oT+/vRWIQQL0zl+8mPn+dDT0wgBr16p8Qd/\n8Q7femuT3uBwt1shBKadJRQWqxt1avXGeNJ8K5qmJ8ZEg5hryxts1eoHClbDtFAyw8r2gCvX1tIW\nLSmPBMdNCc2XTqM7M0wVbS4t5OgPA/76rQa+kly/uYEfhOMeueubNTgkvf3d8ihOzB92Dpv8Pyxi\n7EniJEx67vSZudfX+VF8fyilGA5den0Xe+7vgjAJYw0//7fZaMW8upIn6+j8jacmyDo6lWLmQR9y\nSkrKY0wqPh8w5VIBESeC03EcdLkrBp2Mg6mrA+s1pRS87+wEP/2Ji3ywOoWha1xebvKHX1niK99b\npdY6ukWKaWeJhM3aZoPtWv1IEapbWdzQ4PrKFuubNTzv9npTwzAReobNls/lpVXWNrYP3WdKyoPm\n5ZdfPtY4qWnoUpDLGvzgMxXyGYMrK13evlZDM7NsNgasbWwjNYuuK+n0h7iud19F6Em7Z6bC9nik\n1+nBcC9i71FznD1JtutN3r66ShhLhNTY3KrjUSE25mg0mnx10SFWgg9cKJDLGEwUbCYr5Qd92Ckp\nKY8xqfh8CCjm7LHALGQsonhXtE1WJoj8/qHbmobGs+cr/PSPXORjz89Rylssb3b54tdv8MWv3+DG\nRoc4PnwibNpZYumwttVgu9bA8w42EhJCYFhZQixWNjusrG3ROcCcSNd0NCPLIDB4+9oGN25u0usP\nDthjSsqjgWObFPMOxZzFR95XQgDfeLvF8uoGAkkkbJbX6mxvNxBCI4gErfp12o3r+L5/16LlvRQ5\nj8Ik/WGINKXX6WR5FEx6HiWUUmxu1Xn1r36VtcXfRzez+L5Pf+DhxQZSaniex8baq1zeKrFQ7PHD\nZ94h5+iUC6mHQ0pKysmSGg49BExPlmksrWNaWUrlEo3ldTQrBySir1LKU2sPMUz70H1oUnD+VJFz\ncwU2GwPeut5grdbnldaQjK1z6XSZpxaK2ObBL7lpZYmB7UYfTXbJZx1yudwhY20U0OiF1FsbZB2D\nykQJTdP2jbOsLAGwvNHFkC0KWYupyfKBhkcpKQ8rUtPI2RqFrMXT56dYrXu8vdzhm4tdPqQ0Joo2\n+XweH+gPPAxVQxKAErz+1f8D4gFCCJbf+v19E+uDBOaOyNl5PFNY2Gdk9ChNzF988cV9f98Ps5WU\nh5P7cbPkftZKP4jPzMMQFe/2+jTbfXpDH8PMotDwvYDN5U3ysUBqOu7QRbgub63n+OLreUwt4iee\nuY4m5ygVLGamJh70aaSkpDzmpOLzIUBKSc4x8EcllZPlHPWOj64nbre245AZunhxfEfhJoRgtpJl\ntpKl0/e5vNxgabXDq1e2ef1qjXNzBapnykwUDhayhpXc9WwPAjq9bTK2TqFwmEOuDpqOF8P11RqO\nISkVs2Qy++tFTNMCoOMqalfXyNkGE+Uc+VzqppfyaLAwN0lvuE637/KRZypstTxubHTp9H0+9twM\n+b6LbeqcMjRUJIiVGqXeKjQESkGj1aP917+GZerYTmEsMm8VpQdxUiZGJzFJ3xGRL7300iMbibuV\nW6/ToyiUT+pY994wOc57+STZ+7rc62fmXl7bW6/B/eC4YrbbS0zQ+sMAJQw0Tac3GNCvb2MOvVFP\nb4dgEBBFMfXQpVPL88XXS+i6xn/6A1eYLcUYM5+mnLcRQtyX409JSUk5jFR8PiTMTBa5utLANB0K\n+TztzibsabUyMVGm0WjSd0NM+3iirZA1+fAzs3zgqSmWVttcXm5ydbXN1dU2laLNpdMlzs4W0LXb\nhaWuG4CBGym6G3UsQ5LLOrcJyx1MK0MEbDaHUO+QsQxKxRyWZY3HCCGw7BwBsLLVR261yGdMpifL\naT+xlIcaTdMo5SxipRGLLj/2wUm+806Pq6tt/uM3V3j2fIUzM3nKtocQJRzZQEpJr/A5cq1/DQLi\nzMex+19m4IYM/R5RFCNvmeftFTnPffyX7uoYD5o0H2cifZLuvA9DNOhWDjMZggd3nR5XHkWRfj+4\n1/Pd+bwcJegH7ZtEccyNlU0GXoASJv7GFwiCgJ79t/CCGNPKgLSJY0UQeKx26pyWLd7YKPONlTWa\n3TKWHvOJF6aZq6ygtBxa+4u4UQZmn6zXKiUl5b0nnfE/JFiWha3Djp/s7PQEN9cbGNau2JuYKFOK\nY5rNNgPv+CLUNDSePjdB9WyZte0eV262WKv1qbc3+PbbW1w4VeSp0yVKOeu2bXccchXQ6vo0O31s\nU6dUyKMdIBiTaK2Jr2B1s4MmYxxbZ6K0v2G1YSTjBgFcvr6FbQhyGZOpSpqWm3Ly3JoSehxOzU7S\nHaxSzppAkQ8BU2WHb761yatXtnn1yjaTuTnOVjzmy1nmi0NaXp15vYymaQSBTjT0kUIRFj9JRtwg\nFpKu/mGWbqxjWzoTpfx9ETk7k9jD9nUcUfhuheNJRIMO4kkVOIdxt9fj3b7Oj2pa+P1g59o99/Ff\nOtY12Hutb73uez8v3ebSvsdc16XR6lJf/iK+l6Tx12/+KUPzo7h+H3voIaVGpAyGbo9Wp0HfDRAD\ni5WWxXLjGlud96OUQAqXp6ZdPnqhjTP1NDICy9RxbJOUlJSU94ITFZ/VavUngP8T0ID/e3Fx8fO3\nPF4Gfh24ALjALywuLr4xeuy/A/4xIIBfXVxc/Oej9RPAvwPOAteBn11cXGyd5Hm8V1TKOdbqLoZu\nYBgGhaxJ39+faiulpFIpU4oiGs0WbhBjWscToVIIFqbzLEzn6Q193llpc3WlxeXlJpeXm0yVHJ5a\nKHFmNn9gNFQbCcYQWNtuYUjIZSxy+YP7gRlWktrrRXBjrYEhFbalU8xnsezdtF/LyqCAzlBRW1on\nY2oU8zblUjFNAUo5EY7bamUvQgjOnJrkxlqTgetxam4aw6hzqnKO9brL8maX9XqfWs/g2zcAFKXc\nJucnysyXPGRrg0u5ECkFri/QxRQqjug0hpiGhuOYNLshQW+AJiUbW3WK+QyOc3cGIAfVjR72+GGi\n8GFKpXyveRijtSfF/XqdH9eo8FFC/tZrd6drsHf8G3/1v4+XX3/l82QKC+jG7o3mXOk8re23iWNF\n3/wwSystwjjG9SKEUhArfDfE1XT6QxctjPCDiFeXN6h3QzabQ+rtIUpNAiCFYr7Y49JUm6fms+T0\nHoYuGZo6VqRjaDLNPkpJSXnPOLFvm2q1qgH/Avg0sAp8s1qt/uHi4uJbe4b9U+A7i4uLn6lWq+8D\nfgX4dLVafY5EeH4YCIA/qVarX1hcXLwK/BPgTxcXF/9ZtVr9pdHf/+SkzuO9pFjIs1HrAAYAk5Uy\nveUNOEBcaprG1GSFKAxptbu4QYgQxkgg3pmcY/I3Lk3xwsVJVra6XFlpsVEfsN0a8q23Nzk3V+Cp\nhdKhtaHmKCLbcUNavS0c06BUPDgamoxPJtBeDKtbXYRoYVs6haxDNpucnxACy8oSAbVOzHptFcfU\nyGZMJg8wNEpJOWkOSmGtnPo7IMqsbdaZmqygN/+Ic7Mxpyc/gdBPUW8P6TfeYKVpsdaSfLeX47vL\nOWCNSnaW+bKPndvg2XLMRDam0R7iOBZ9H+LQp+hHCBlzY72Dud3DsjTC/hBNChrNNoV89sQmijvn\nuHcifK8cVif5sHAnw6d3I8aOE318kBHb+/k634/jOOoa3OlmwL1e63u9ybCzXaFSvaftD0IpRW72\nU9Q330QpaIm/SSBqxELRrg3xggihG0jjR8gNb6AUXGk/D2tfZKXlsNKYZr1tEqstAISAiYLNxYlt\nTk/46KWPclH7XZRSrIqPYxdyhCpmsmQjm+A4t2c9paSkpJwUJ3mr6yPAO4uLi9cBqtXqvwV+Gtgr\nPp8BfhlgcXHxcrVaPVetVqdH67++uLjojrb9C+CzwP8G/BTwydH2/xr4cx4T8QlQytl0XDWO+E1N\nJu61hnHwPwdN16mMenINBgN6/SFeEKObzrHSV6UUnJktcGa2QG/gj2tCr9xsceVmi3Le4uJCiXOz\nBSzzdvGnaTqaltuNhmoCx9bJ5/KHPv9ORDRUsNlyod7FsXQKuV0hKqXEsnPEjCKi1zYxdcjaBhOl\nPLZ9uPNvSspJMj05wWCwzulTM6yubWEYBqYpmLHy9Hp9jKLGVLEN52E1/lFE7+usNEyuNmeptXrU\nV7JAjW9wCtuImShuMVEwKTqSiYLFpVyIpgncQQwqRMUhBT9ECnjr2ja63CKftbFNA8PQMA1J1kna\nNQkh9om+vdGYvRPwO4nC+5FK+dJLL/Fzn710T9vu5W5Ewt5zPEqUDDor70lK8P3ibkTa3UQh36uU\n2XsV2icVgb/X/e7dDkDTk/9Dx7m5cuaZz9CuXUYpxeSl/4K1N/4lKAhVkV6jzYq/haUqxLGi2/DJ\nh4o4jql3hgzciK1Wg2YnwBtcYrNj0hysADMACBTThYCJiVlmJjJMlRyECrio/zVCCFYJiLQpdF1n\nMjeB7w+ZKjpkLIGeTU2GUlJS3ltOUnzOAzf3/L0C/OAtY14lEZWvVKvVj5Ck0s4DrwH/8yjF1gV+\nEvjGaJuZxcXFzdHyJjvfvo8J01MTNK6uYoxarWQzGaxWd1wLehSZTIZMJoNSik63w2DoEsa7Uco7\nkcuYfODSFM9fnGS93uedlRar2z2+9dYm33l7i4XpHBfmi8xVsshbnVLYfZ6BH9PZqGNoIoluFgqH\nC1HdBD1J5T1MiCYR0dG+A2ittBAiJGMZ5LM2peLhQjcl5SQ4e3qWGyubzM1WaF+PiSKFrhuUy8mN\nIKdnoZSiJDQKxpCF4pD5hfczI9+m0be53H6efvsaay2TtVqftdpuL19Tm6eSC3EyNyhkNCYKJu8r\nxuQsRacTYOg6zV4fTQoMXaJrEqUi7F4XXde4emMDpU8ihcDzPDRNI4qifcd/HIFypzF3EhQvv/wy\nP/fZfzP++04i8jiRyDAYHPmc93qsOzxMrrZ389x3SrU+ivudMnuv1+xB1uze6zEfdO3CMMR1PQau\nRxDGhGGMFwT0+gOCsIBC8Pa1BmY8QaxABAKlNBptl2IQUusZLLY3iIcO9Z7JZu8mfTfc+6xYeszM\nRIbThS3mSx6nikNsI2ZTXULXBIYRMyW+ixEmn/t581WE0onjCBENmZ8qoMuAS+fmuPFG+r8zJSXl\nveUkxac6xphfBv55tVr9Long/C4QLS4uvl2tVj8P/Eegv7P+1o0XFxdVtVo9zvM8MgghmJ8psbrV\nG/f1nJ2Z5MZqbZ/50J32USwUKRYgCkM63S5DLyRGO7JX6A5SCuancsxP5Rh6IdfXk2jo8maX5c0u\ntqmNe4qW89Ztd02llGMzpB23XF0TOJZGPl84NH32ViGqah0cSydjGRSKuwLWHEVOAwW1TsRabQ3H\n1HAsg3zOSVu4pJw4QgjOnZ6l1mjhWjpCSHQrZuD6hKEiikKEkOTyOaxekrWwMDmF3bXIWCFmOcNE\nXEcpeKf3g9Q6Ht2hojMI6PUabHYM4nZ3/HxfYp6MGZHP3aTg6BQyOoWsQTlnks/qGLrGpBIEUczW\nzRYFP0CIpM4bfL79xjX0Th9NSq7e2GAwcJECNrbq+L5/oEC9V+4lnfW9rjHNFBbGx3lr1Oo4YuxJ\nqgt9kLybyOxRQvKolPCjXtu90Utn6pNsL/0Bcay4trxBtzckiiI2X32HSGkoIYnCmCCKiWOIUORD\niOOY690OWl+jNdBpDXVaA4ON/ird/gKxEkADKAJgm4rZiQylvEUpo/G+0veZyERsi08wq11GComu\n6Qgpmc1VxscqenLU7glUHCJFlJgFVnJkbcGZ+YU04pmSkvJAOEnxuQqc3vP3aZLo55jFxcUu8As7\nf1er1WvA0uixXycxI6Jarf4vwPJo2Ga1Wp1dXFzcqFarc8DWiZ3BA6KQz9HrD+n5MVLIcZuHjheh\nybure9R0nXK5TBnwPJdub4AXRICBbt65PtSxdJ45V+HpsxM0Oi5Lq22ur3d463qDt643yNo6C9N5\nTs/kmCplbouI7rjlQlLv2d1qoguwLY1C/vAa0R0hGgFtN6bW2cLSZRJJzWXGhkVSSmw7hyKJira3\nB8TrTRxTG5sbZbMPtq4p5eHjpZdeuifToVuZnCjRdEx8P6RQsnEDgyiGYMtAKYVmhAhilFIQDdHC\nTTSSGivTN5BS8tTkLBfiGM9z8TyfifhNwhDe7nyYZs+n3QvoDCM6/YDNxpDNW45BSkHOMZh2MpQz\nHpG1xbmcTjETUrG3sfSYeiOgFEUIQrbX2uTcACEEndU20vhRpAavLa6gugOkELxzY53hwEUAaxs1\nNE1gGjq2ZWIYxm01p3trCHdE5P/w3/zYu76+J1E3elB66nHE5I6YedBmTAdF6Y6Tan1Sz30U95IK\nfCsHbXvYcdzNTYF9+1WKWCmufv93CPwkuv7Wt3+bKHBRSnHl+jphGOG6HmFcIlZwZbmFNvBRCjZW\n2jgDn1hB3Q8JQo9OP6DVD+j2AzqDgL4b4XnTtIcaYbSbMruDrvlMFwImsz6as8BTxctM5UMG1g+j\nSYGu6ziOTd59E9CZzk1gdAyUitGiLYhAxi6almRDGJOfhK0k+aww/2nC2p+gSUH13PS+z+/ONXz9\nlX1+kCkpKSknxkmKz28Bl6rV6jlgDfiHwH+2d0C1Wi0Cw8XFRb9arf6XwF8sLi72Ro9NLy4ublWr\n1TPAZ9hN2f1D4OeBz49+/8EJnsMD49TsFFeurYKeCLeJiRJxvUmnPzh2BPRWLMvG2nGgdYd0+4mR\ngULHMI82HBBCUCk6VIoOP/D0NKtbPW5u9Vjd7o3dci1DY34qx8JMjrlK9kDH3J3UXF/B2lYLTSos\nU8Ox7UN7iCb1nzuRVOhudxGqhWlqWIZOPuuMxaihG6AbxCRitLnRhbiBberYpoZjmxQLudS86Ann\n5Zdfvi/iExLzL8fROH9mFkgiG97C5xgMPcIwIpz+LGGk6K79Kb4MUMCM/DqRDqgYWwsIhUK3rnD1\ncQAAIABJREFUJLZu4UWfJgaeKmnouolSCtd1CYIA1w+pd3xaPZ9OPyTy1mkPDVqDiHf6xdERNfkO\nU6PlOWw9JGe/Sd4uk7NCMNeZz5gUnIiw2SSX0TE0gaZLJqIAKQSNjS6ZYQBC0NvoomsCXdcQUqJJ\nUCom6g0QjIRqf4gQAk0XxPFukUAQhGhScOrZv0endhlGNam3clSE607C5W4Ex0Hpqe9VS5iT5mFz\nnD0sFfikUpnHz6cU117/PabO/R2CMCQYiUal4ObaNnEcE8eKXn+IUvDGlRW8zgCFIlYRIkqihe2e\nB3GAUrC+2iYIkn0VwpCBp7O8uY3hGnQ9jfXBKjIs0nV1GsMbDNzwwNQvU9MoZ0JMq8hsdpOSE1LK\nhJSzIYHzMablK2hSwyucx+ldRimJZloUvC8jFPjy0whihABb8zB0hQjrCBkAMCm+QfHUj6NrEl0T\nNPyF5AZX9TRLbvL/9SCzsgd9QyUlJeXJ4sTE5+LiYlitVv9b4IskrVZ+bXFx8a1qtfpfjR7/V8Cz\nwG+MUmdfB35xzy5+r1qtVkjcbv/rxcXFzmj9LwO/U61Wf5FRq5WTOocHzbmFaa7c2Bq3UpmslCmX\nIra2Gwz9XeOee8GyHSx75EA7EqJ+EBEriWEd3dpBk3JsUhTFiq3GgJtbXVa2eiyttVlaa6NJwVwl\ny8J0kr5rW7e/1Uw7+WcYAs2uT73VxzQ0LEOSz+UOj4qOUodjYBhCe6uLUM1EYNoGxUJ+LC4t0wIs\n1GhsvxOxVtvA1AWWrmGaGrmsQy6bSVOQUu4LUkocx7mtRcpyN0NzkLwvy+U8Mxf+Ib3+ED8ICcKY\nKIrxw5ggjEBoxJFKJs+RwjEMokgnimOmShmiOEYhyfuXQSnC2ABvhfrAYr0/T2cAfS+k6+p0XJPO\n0KLW2zmeNq+xk56XCDfTkNiGRtGqkDEjlLHCtO2QtSJCcwPH0rANgWNJTF1iGDrlKImeNta7OG6I\nEBAUfhQrXkIA/+xX/ox/8LP/ACEEr19ZQ4kKCPjeV38VBGTmfhIhRJIejEDpSVuI5dUtpBQIIZAC\nXNcDYLvWwPM8hBC02x2ElGxf+2PCYAjAtdd/jziOESQ3AFAqsf28zzxMfS3vp4vr/Xju29hJ+1QK\nFccEQUAcJ5kAg8GAMAxRCpqtNnGcGOzESqFUsk2sYDB0QcGNlU2UYlc4AovX1hj0BqBAyZh4VONY\na/XYurKBEgASOUxEZH2tjYoVcaywhwFxrKjfbFDwfQa+YNX/AbJBg4Gns+JdwArepufpbA6v4/ox\nrh/hBTsJXRvA5Gi5CyQ+DY6lqBQtsrZG3jEoZJOfYlbntPE1NE3Sdz5I3ltCKYUR1wAYFDNYAw2B\nQDMjNKmQUnBq0iFu6EghODVXoLemJ8Zil+bYvJpj2G0Tjc47n8uwMLdz4wk6q2n7lJSUlIePE/1m\nWlxc/GPgj29Z96/2LH8NeN8h2/7IIesbJO1bHnsMw+DUVJ71uosxaqGiaRpzs1O4rst2vU0kDDTN\neFfPs1eIhmFAt9vD9SOCSGHcwTVXk4K5ySxzk1k+/Iyi3nbHQnRlO/kBmCo5LEznWJjOUcjeHmXV\nDRNG55ik57bQJBi6JONYY/Ohg9ipAY2AnqdorNQwJJiWRi5jk8tmx8IySdNN9hUAgQ+twYBoPYnc\nmvqO+M2QyTipIE0Zc9ik/riT/YNEi2UdnHEQBAGu5ydpflFMFCuiKDE2CuPkb88PiGqCKAZZ/BR6\n7bdw7JDy2R/C7v8ZSoEWraCAVfFTFPyv0nZ1bg5fQHPfpuNqbA7m6HsRrp/8dAY7N7S6LFIaLe+v\nbDCNRIDmzUkcIyLWb1AxszhmTKCvM2PN4ZgxP/Pz/z2brQhbj+h4TSaVjwCEFAgEtfXubl2qAGeY\nRG+a6519olQfBgigu9pGG4Qg4MrNJpoUqJ6LipJIa6vrQpwI1TevrhP0ElH62uJNwm6SSmlOf5Io\nfgMEKDlBpzfAnv1RIvUmAK79gwyb/wGAK9eTiC7AOzfWESTfBQKItQoCuLa8QW/1CwDk5v/u+Pui\nXb8OwI2boyTpA75GxmNWDq4c6Q/c8eN3Xt6kP3AJhxuo2AfgjW/+JnGUPH59dBxqJAZ3nnvpxga9\n0TlevbFBfy05l8zcTybj92wDMBxd07eXVnF7o/TUq6uozCfHUUR/dK31qR8hVG8AIGWFTt/lraub\nhL1ETF6+XiPuJ69Xd7mZiE7YIzwTEWoMA1BQX++MH7OHIaDYWutQHGyglGLL+PtMRtfwIsH13vvx\nN+r4gcINInJhgBto9IK/wg006t4UKphg6Gv0ghv4Y0G5BlwcLTfZTY31Et8CU2MqNyBnRWDMMuMs\nk7MiQvs5co5O1tGxDA1N09BE8v8x5/15cmMm/2msvg5KoWcFRiwgqO2LWuIYSCGYmi/iXPxHWKM0\n96XvJzdqz56eYamZfEZzuSxbQhxav3w3keWH6YZKSkrK4096W+whp1Qs0O0NcSO1TwjZts3peZt2\np0OnO8QL4zsKxeOw17EzjmO6vS6el7j2KXG0YZEQgsmSw2TJ4YPVaTp9n5WREK21hmy3hnx3cZtC\n1mRhKsf8dI7JkjMyRdnPTlQ0BtqDkEZ7e+Seq5HNZsdi/KBjsHYiqgrqnYDN2kYiLM1EjN4qZA3d\nSNJ1SUyMAh8amz1U1MDcEaTjbdMI6ZPIYWlpd5uudlhq5K0TRsMwMAzjjuZZ73wvQxzHlBdKbPun\niJVi5lSR9ooxmqjPEceKs8U8NHVKOThVmEFrv4pSMHTOEsUKPwjJen+FHi3T9w3q/hmGXkjf09h0\nLzD0Q4ZeRBw0GQYafd9iwzVRSgADrlMYHVGdcTSoMs2//ItkUcob2Poclh5j6jGWHhNrNzB1ORaz\nU6aFpSv6cgvDkBha4uY7rSksXdF1O8yIJNraqvWT+nLxISbj6yCgGX2I8vB3AcXWZoe8lziE9msD\ncqPlZn1AZuf4vCRa1K4PsEjE5EZ9gOWHgKBTH2COxnTqg7F+FAh0LwIB3foA3U/G9BpJGrLs/iUy\nTETV1vU/IS7cfh9Vdr6C2Blz7U8QcfIeUqUfH48Ro+feqg8QvXUANuuD8fphfYAYndegPkB6YZIy\nOhKLfTdExEn6Z6/eH1sAat2vjI+vduOLECf769b7yXmNzhdGm4xEIQrMnetYG2CPxja3+2ORqoCs\nl0Qze9t9cqoCKJQbJNd0u0fBD0Epmts9Jr0NADb8HlEcEwQxfhiRDb9FEAq2whdwIoMgFNSCDYIo\nxgtijDCPGwrc4PsE4QXcUGcYXMULXxi9J9duueKnb/l7CFg4RoxlSKayg1HEf4Ypa5WMGeFYGmVz\njbwVIM1ZBtaH0TVJJf4qQoCb+RDOcBEhICxMEkchUioMXeLYFpZpoEtJf91ACKicLtFaTuq8zz2z\nwMrbWYbd1jhqWchlOPPMnQXjQVHu46Rc30mMPmxp2ykpKY8vqfh8BFg4Nc3i0iqambvtsWKhQLFQ\nSIRip0vfdXG9EDTj0N6gx0VKSbFQHP/t+x79/gBvFBWVuomuHx51LWRNnj1f4dnzFVw/ZHW7x8pW\nj/V6nzevN3jzegPL1JirZDk1mWW2ksU5ID036SWarPdi6NV7CBVhGhqGoZHPZg9N0dU0Hc1Jrpsf\nw1bbI651MQ2JZeiJqMzdXgNq7onEBgoCD1qDIdF6C0MXmLqGaWg4diIQDqqjSUk5aaSUSCmZmpyg\nu5Z83s+enoHT/xgYiVqlWHj6NG9/rYFCsXCqQN0zUMDkXD6JpkYxfs0m7gtsI6Q8IQnznyKOFdEo\nTTGOFc7gapKqKH6YyeAP8EKNJf/HyYbfY+hLNvxnMMMrDH1JzZvHDyL8MMYPFUQ+XijpDHUiJUgE\nwF4mRr+3b1k/N/p9HZjH0BSatoSuCTQpyOpVDE2ha6+S0U9haDGx+C62pqFJRUetM22AJmNabDKh\nmehSoUmFLqEt6kzpEl0q2o0m01KhaYpmt80pUUMTii23izZKBRZCUFGJCGs0+lTikSBrJgKyFEXY\nIwHoehGdlrfPiE0gyPkR1miMH0RIlURvu71gPK7sJ9FKv/5lrFFE169/GTEa2+n4FMJRJLPjUwxj\nEBX0URrndvyDlIIvJcc5OjalYopRQGb03AM3oCk/lkQat3uUoohYwVa3Q6SS9Nhi9C1iBbX4Bygq\nSRTDdlSnEOuEsaAebhGO3idRpCggCGNJLVjFJk8UCZQKCCNBO7yBwQRhJPCjtwijp/FDDT96Z+Ty\nusPs6Pcmu6mtjT2P7/4v1KSBo4c4Zkw5E2HrMbFewdQllqExYa5QNLaxjQjLEOhGDtf6MPPG19Ck\noG38CNPB/wMIevkPkRleQQiICj+O0fgtAOTsp9CkxLZN/E0DAcyfLtFdMRECZs5VcGwT0zRvN+Nq\nJzds52YmmZsZ+yty8QP/CNg1+rnbiOO7aa+TkpKS8iBJZ8yPAEIIzs5PcX11GyWtcZRuL1JKiqUi\nO1JxMBzQ7Q3x/Qg/jNAMeyzg7hXTtDD3GBMNBgNc10sml0GEbh7+HLapc3G+xMX5EmEUs1EfsLqd\nREWvr3e4vp6U9JbzVpLGW8kyVXbQDojk7q35dENFdytJwTMNiWno5HK5QyPAumbAKE3Zi2HQj9hu\nbaNriaA0dEk+62A7t9e96pqOPjq/EAgD6HkRa7UtNKESQWpqWIZGIZ89NKUy5cHz4osv3tX4w9LS\nHol0NSHYuPr/olSSjhk0vsJzP/SLtw2LL36O11/5PEopZp/+ScJoJ9U3JlKJsBiu60l0S3uNqBdh\n6REfrCwSB6BUxNOFOWT7dVAKN3smEa0q2U/W/RLxKG0yiGA9/Ch+qPCCJJplh2/gB5J6eDHpjxgp\ngjDGVBsEkaQTTGCqGn4k6YcW4SgK1ulbqHFccm9mxk7UuA2cGi03gAr72dsuem3P2JvAc6PlG3sv\nJ1LMI4VCiOtocg4pQIlrSCEQYhZbZpACfEokonm3/DT5NYctLQQKT01iijZCKHy1BIAlO+jibJLi\nqzSgilIQYoMauYerJYyRYPfUNYyRSFNqEgUE6ho60ygFvrqeXPtYEatZiMvEShAqHRUv7THHmR/9\nXmaXHfG/vuc6bcLY1Kp+y/XcGd8D8rc85gI2mlAYusLSIvK2j6YZxCKX9KjUJUVjE1NTePI0E8Z1\nTE1h6jGmrnCN55k1vodtxPStj3Gaf58chfUzlII/RwhB3/kgmhBJ7bBcINP+t8nTG8kxq1IZ2dYQ\nQpDTv4uKkhsI0/Kb4BhJFs9CkWY8jyYlF545N75BuTSqnT4zPw3zv8C7JRWNKSkpTxqp+HxEsG2L\npy8u0Ol0abT69P0Y6wjX24yTIeMkjyul6PX79Acuvh8RRDFC6ujG7T0674ZMJjN2qN0xkHA9lyBQ\nBFGMZlgHilFdk+P6z488q2h1PdbqfTZqfbaaQ5pdjzevNdCkYLqcYbaSYbaSPbCn6N5WLhHQ92Na\nG3X0kRi1DJ3sEWJU0zQ0bXf7KErSz4jamGYS3czYJtk9daN7kVKOX4dEDMMwUGy3migVjtJ25Xg/\nuVw2ddp9CLgXp9vDJomPy+RRSkmudAaAmalbBVrCUi8DSiF1h9ZQopQiY2sMvRqgmJnO0faSurbK\nTI44Tur2YqVwNxLn3p26vUw2TwwoBFJoaJ1XAYWbPTUyqEmEqzNcBAURA6zoOgCuPEdL/hAIQTH4\nMmEEm/HHKId/QhBJBtE0RrxBGEuC2ELFIWEs6EXT4+VGeI4oSo4tw03CWNAJ54hHpjaWaCDVkFgJ\n/DiDq4qoGGIUetwhVuArB6k8YiUIYohilYjr2Er2QwDspq1CDAoSW6RMYpSDC+zcqHJHv83Rz2Eo\nBB5CjMYIH4kBIpHhAlAiRCOpnVUiRspEjGlCYkmFFDGRzI4Ec1J768g6UoBHZbw+r20ihGKo5pgw\nltCEoqMuMWHcQJPQFxeTViCaYEJ/h5y2iS5jQm0GU3o4WgtT+hgyxtcWMDQPTUDb+BST/u8igJr1\nM7t1vkKQ999BAG7mFELOI4TA7v9/gCAsTKK3FQgo5i203jRSwsJkBtVIhOP0qQJ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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could (should) also plot the residuals, but I've left them out from the plot for clarity. The plot looks fine, and we can continue to have a look at the parameter estimates." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start the analysis by making a Pandas data frame ``df``, using the ``df.describe`` to gen an overview of the estimates, and plotting the posteriors for the most interesting parameters as violin plots." ] }, { "cell_type": "code", "collapsed": false, "input": [ "pd.set_option('display.precision',4)\n", "df = pd.DataFrame(data=fc.copy(), columns=lpf.ps.names)\n", "df['e'] *= 1e6\n", "df['k'] = sqrt(df.k2)\n", "df['u'] = 2*sqrt(df.q1)*df.q2\n", "df['v'] = sqrt(df.q1)*(1-2*df.q2)\n", "df = df.drop('k2', axis=1)\n", "df.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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tcprhobecq1q2kuv
count 2800.000 2800.000 2800.000 2800.000 2800.000 2.800e+03 2800.000 2.800e+03 2800.000 2.800e+03 2800.000
mean 1.000 2.500 1.486 0.514 707.673 9.999e-01 0.067 3.562e-01 0.100 1.491e-01 0.098
std 0.000 0.010 0.080 0.029 29.356 5.626e-05 0.042 2.712e-01 0.001 9.678e-02 0.146
min 0.999 2.463 1.200 0.407 624.122 9.997e-01 0.004 7.440e-05 0.098 4.665e-05 -0.232
25% 1.000 2.493 1.431 0.494 687.036 9.999e-01 0.036 1.226e-01 0.100 6.773e-02 -0.020
50% 1.000 2.500 1.486 0.515 706.349 9.999e-01 0.057 2.998e-01 0.100 1.398e-01 0.097
75% 1.000 2.507 1.539 0.535 726.939 9.999e-01 0.089 5.455e-01 0.101 2.230e-01 0.210
max 1.000 2.540 1.772 0.610 806.095 1.000e+00 0.345 9.987e-01 0.102 4.895e-01 0.565
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ " tc p rho b e c q1 q2 k u v\n", "count 2800.000 2800.000 2800.000 2800.000 2800.000 2.800e+03 2800.000 2.800e+03 2800.000 2.800e+03 2800.000\n", "mean 1.000 2.500 1.486 0.514 707.673 9.999e-01 0.067 3.562e-01 0.100 1.491e-01 0.098\n", "std 0.000 0.010 0.080 0.029 29.356 5.626e-05 0.042 2.712e-01 0.001 9.678e-02 0.146\n", "min 0.999 2.463 1.200 0.407 624.122 9.997e-01 0.004 7.440e-05 0.098 4.665e-05 -0.232\n", "25% 1.000 2.493 1.431 0.494 687.036 9.999e-01 0.036 1.226e-01 0.100 6.773e-02 -0.020\n", "50% 1.000 2.500 1.486 0.515 706.349 9.999e-01 0.057 2.998e-01 0.100 1.398e-01 0.097\n", "75% 1.000 2.507 1.539 0.535 726.939 9.999e-01 0.089 5.455e-01 0.101 2.230e-01 0.210\n", "max 1.000 2.540 1.772 0.610 806.095 1.000e+00 0.345 9.987e-01 0.102 4.895e-01 0.565" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " fig, axs = subplots(2,4, figsize=(13,5))\n", " pars = 'tc rho b e c k u v'.split()\n", " [sb.violinplot(df[p], ax=axs.flat[i]) for i,p in enumerate(pars)]\n", " [axs.flat[i].text(0.05,0.9, p, transform=axs.flat[i].transAxes) for i,p in enumerate(pars)]\n", " setp(axs, xticks=[], ylabel='')\n", " fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Myzit9S7/274OTFFKPYJ/GRZ/+2NAO2CUUmqUv22w1vrE5X9UcT4rVqzg7bff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\n2bNHEtAAKy4uZsOGz7DFZ0sPBNEusy0ca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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "While we're at it, let's plot some correlation plots. The limb darkening coefficients are correlated, and we'd also expect to see a correlation between the impact parameter and radius ratio." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " fig, axs = subplots(1,2, figsize=(13,5))\n", " cpars = dict(gridsize=15)\n", " axs[0].hexbin(df.u,df.v, **cpars)\n", " axs[1].hexbin(df.b,df.k, **cpars)\n", " setp(axs[0], xlabel='u', ylabel='v')\n", " setp(axs[1], xlabel='b', ylabel='k')\n", " fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EA0/KhVDxXI5aQmepGuK1SoVQ0zRL3gJWC9G5UqqW67rY3Nz0HvBTD9u2vdcSIbRw6Kpl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\n5/nJT37S1UE/Ho8zODiIbdubDrS2baOqKseOHePo0aO88847XL58ueM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FYrEW5NsVDAZr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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Calculating the parameter estimates for all the filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, now, let's do the parameter estimation for all the filters. We wouldn't be doing separate per-filter parameter estimation in real life, since it's much better use of the data to do a simultaneous joint modelling of all the data together (this is something that will be shown in a later tutorial). This will take some time..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "chains = []\n", "npop, de_iter, mc_iter, burn, thin = 100, 200, 1500, 400, 75\n", "pb = IntProgressWidget(max=len(fluxes))\n", "display(pb)\n", "for flux in fluxes:\n", " lpf = LPFunction(time, flux)\n", " de = DiffEvol(lpf, lpf.ps.bounds, npop, maximize=True)\n", " sampler = EnsembleSampler(npop, lpf.ps.ndim, lpf)\n", " de.optimize(de_iter)\n", " sampler.run_mcmc(de.population, mc_iter)\n", " chains.append(sampler.chain[:,burn::thin,:].reshape([-1,sampler.chain.shape[-1]]))\n", " pb.value += 1\n", "chains = array(chains)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "ids = [repeat(filter_names,chains.shape[1]),8*range(chains.shape[1])]\n", "dft = pd.DataFrame(data = concatenate([chains[i,:,:] for i in range(chains.shape[0])]), \n", " index=ids, columns=lpf.ps.names)\n", "dft['e'] *= 1e6\n", "dft['k'] = sqrt(dft.k2)\n", "dft['u'] = 2*sqrt(dft.q1)*dft.q2\n", "dft['v'] = sqrt(dft.q1)*(1-2*dft.q2)\n", "dft = dft.drop('k2', axis=1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dataframe creation can probably be done in a nicer way, but we don't need to bother with that. The results are now in a multi-index dataframe, from where we can easily get the per-filter point estimates. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "dft.ix['u'].describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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tcprhobecq1q2kuv
count 1500.000 1500.000 1500.000 1500.000 1500.000 1.500e+03 1500.000 1500.000 1500.000 1500.000 1500.000
mean 1.000 2.500 1.529 0.499 752.028 1.000e+00 0.652 0.594 0.100 0.916 -0.116
std 0.000 0.010 0.090 0.039 31.634 5.803e-05 0.184 0.165 0.002 0.135 0.232
min 1.000 2.464 1.232 0.341 663.427 9.998e-01 0.280 0.232 0.093 0.463 -0.642
25% 1.000 2.493 1.465 0.476 730.710 9.999e-01 0.498 0.462 0.099 0.818 -0.294
50% 1.000 2.500 1.527 0.503 749.800 1.000e+00 0.635 0.565 0.100 0.912 -0.104
75% 1.000 2.507 1.589 0.527 772.160 1.000e+00 0.801 0.705 0.101 1.010 0.069
max 1.001 2.536 1.882 0.613 863.987 1.000e+00 1.000 0.999 0.106 1.302 0.535
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ " tc p rho b e c q1 q2 k u v\n", "count 1500.000 1500.000 1500.000 1500.000 1500.000 1.500e+03 1500.000 1500.000 1500.000 1500.000 1500.000\n", "mean 1.000 2.500 1.529 0.499 752.028 1.000e+00 0.652 0.594 0.100 0.916 -0.116\n", "std 0.000 0.010 0.090 0.039 31.634 5.803e-05 0.184 0.165 0.002 0.135 0.232\n", "min 1.000 2.464 1.232 0.341 663.427 9.998e-01 0.280 0.232 0.093 0.463 -0.642\n", "25% 1.000 2.493 1.465 0.476 730.710 9.999e-01 0.498 0.462 0.099 0.818 -0.294\n", "50% 1.000 2.500 1.527 0.503 749.800 1.000e+00 0.635 0.565 0.100 0.912 -0.104\n", "75% 1.000 2.507 1.589 0.527 772.160 1.000e+00 0.801 0.705 0.101 1.010 0.069\n", "max 1.001 2.536 1.882 0.613 863.987 1.000e+00 1.000 0.999 0.106 1.302 0.535" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "with sb.axes_style('white'):\n", " fig, axs = subplots(2,3, figsize=(13,6), sharex=True)\n", " pars = 'tc rho u b k v'.split()\n", " for i,p in enumerate(pars):\n", " sb.violinplot([dft[p][f] for f in filter_names], ax=axs.flat[i])\n", " axs.flat[i].text(0.95,0.9, p, transform=axs.flat[i].transAxes, ha='right')\n", " fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JgLUuuONjz5SVSrgsAIwPxI3y5mDPnj1cuHSJj5bOHPR6YXIqszJzeHfpMnp6eiIik9+D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oygwtdKgoMwdZUTh+/EYBBHccOnQIh0Ni0WT1szTykkVSjRp2v6nOWrai0kxsnIAo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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As it is, the posterior distributions for different filters agree well with each other. However, the uncertainty in the radius ratio estimate decreases towards redder wavelengths. This is due to the reduced limb darkening, which allows us to estimate the true geometric radius ratio more accurately." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's print the parameter estimates for each filter. We'll print the posterior medians with uncertainty estimates based on the central 68% posterior intervals. This matches the posterior mean and its 1-$\\sigma$ uncertainty if the posterior is normal (which isn't really the case for many of the posteriors here). In real life, you'd want to report separate + and - uncertainties for the asymmetric posteriors, etc." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def ms(df,p,f):\n", " p = array(percentile(df[p][f], [50,16,84]))\n", " return p[0], abs(p[1:]-p[0]).mean()\n", "\n", "def create_row(df,f,pars):\n", " return ('{:}'.format(f)+\n", " ''.join(['{:5.4f} ± {:5.4f}'.format(*ms(dft,p,f)) for p in pars])+\n", " '')\n", "\n", "def create_table(df): \n", " pars = 'tc rho b k u v'.split()\n", " return (''+\n", " ''.join([''.format(p) for p in pars])+\n", " ''.join([create_row(df,f,pars) for f in filter_names])+\n", " '
Filter{:}
')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "display(HTML(create_table(dft)))" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
Filtertcrhobkuv
u1.0003 ± 0.00021.5271 ± 0.09180.5030 ± 0.03830.0998 ± 0.00190.9116 ± 0.1416-0.1044 ± 0.2509
g1.0001 ± 0.00021.5041 ± 0.08710.5172 ± 0.03680.1003 ± 0.00170.7795 ± 0.1705-0.1321 ± 0.3057
r0.9999 ± 0.00021.5117 ± 0.09890.4793 ± 0.04560.0983 ± 0.00140.3142 ± 0.14600.5542 ± 0.2390
i1.0000 ± 0.00021.5101 ± 0.08710.4760 ± 0.04300.0997 ± 0.00150.4476 ± 0.18380.1908 ± 0.3346
z0.9999 ± 0.00021.5139 ± 0.08690.4931 ± 0.03800.1000 ± 0.00100.1524 ± 0.13280.3123 ± 0.2338
J21.0000 ± 0.00021.4154 ± 0.10250.5177 ± 0.04690.0994 ± 0.00130.1063 ± 0.11620.4206 ± 0.2280
H21.0001 ± 0.00021.5483 ± 0.09350.4482 ± 0.04830.0980 ± 0.00130.1039 ± 0.11290.5423 ± 0.2354
Ks0.9999 ± 0.00011.4890 ± 0.07940.5117 ± 0.02850.1001 ± 0.00060.1304 ± 0.10280.1111 ± 0.1599
" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "
© Hannu Parviainen 2014--2015
" ] } ], "metadata": {} } ] }