examples/sampling/first-example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampling: First example\n",
    "\n",
    "This example shows you how to perform Bayesian inference on a time series, using [Adaptive Covariance MCMC](http://pints.readthedocs.io/en/latest/mcmc_samplers/adaptive_covariance_mcmc.html).\n",
    "\n",
    "It follows on from [Optimisation: First example](../optimisation/first-example.ipynb)\n",
    "\n",
    "Like in the optimisation example, we start by importing pints:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pints"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we create a model class. \n",
    "\n",
    "Instead of using a real model, in this example we use the \"Logistic\" toy model included in pints:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pints.toy as toy\n",
    "model = toy.LogisticModel()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to generate some test data, we choose an arbitrary set of \"true\" parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "true_parameters = [0.015, 500]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And a number of time points at which to sample:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "times = np.linspace(0, 1000, 400)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using these parameters and time points, we can now generate some toy data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "org_values = model.simulate(true_parameters, times)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And make it more realistic by adding gaussian noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise = 25\n",
    "values = org_values + np.random.normal(0, noise, org_values.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use matplotlib (or any other plotting package) to look at the data we've created:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Values')\n",
    "plt.plot(times, values, label='Noisy data')\n",
    "plt.plot(times, org_values, lw=2, label='Noise-free data')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have enough data (a model, a list of times, and a list of data) to formulate a problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "problem = pints.SingleOutputProblem(model, times, values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now have some toy data, and a model that can be used for forward simulations. To make it into a probabilistic problem, we need to add a _noise model_. One way to do this is using the `GaussianLogLikelihood` function, which assumes independently distributed Gaussian noise over the data, and can calculate log-likelihoods:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "log_likelihood = pints.GaussianLogLikelihood(problem)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This noise has mean zero, and an unknown standard deviation. How can we find out the standard deviation? By inferring it along with the other parameters. This means we have added one parameter to our problem!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original problem dimension: 2\n"
     ]
    }
   ],
   "source": [
    "print('Original problem dimension: ' + str(problem.n_parameters()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New dimension: 3\n"
     ]
    }
   ],
   "source": [
    "print('New dimension: ' + str(log_likelihood.n_parameters()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(This means we also have to update our vector of true parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.015, 500, 25]\n"
     ]
    }
   ],
   "source": [
    "true_parameters += [noise]\n",
    "print(true_parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This `log_likelihood` represents the _conditional probability_ $p(y|\\theta)$, given a set of parameters $\\theta$ and a series of $y=$ `values`, it can calculate the probability of finding those values if the real parameters are $\\theta$.\n",
    "\n",
    "We can use this in a Bayesian inference scheme to find the quantity we're interested in:\n",
    "\n",
    "$p(\\theta|y) = \\frac{p(\\theta)p(y|\\theta)}{p(y)} \\propto p(\\theta)p(y|\\theta)$\n",
    "\n",
    "To solve this, we now define a _prior_, indicating our initial ideas about what the parameters should be. \n",
    "Just as we're using a _log-likelihood_ (the natural logarithm of a likelihood), we'll define this using a _log-prior_. This simplifies the above equation to:\n",
    "\n",
    "$\\log p(\\theta|y) \\propto \\log p(\\theta) + \\log p(y|\\theta)$\n",
    "\n",
    "In this example we'll assume we don't know too much about the prior except lower and upper bounds for each variable: We assume the first model parameter is somewhere on the interval $[0.01, 0.02]$, the second model parameter on $[400, 600]$, and the standard deviation of the noise is somewhere on $[1, 100]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "log_prior = pints.UniformLogPrior(\n",
    "    [0.01, 400, 1],\n",
    "    [0.02, 600, 100]\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this prior, we can now define the numerator of Bayes' rule -- the unnormalised log posterior, $\\log \\left[ p(y|\\theta) p(\\theta) \\right]$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a posterior log-likelihood (log(likelihood * prior))\n",
    "log_posterior = pints.LogPosterior(log_likelihood, log_prior)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we create a list of guesses to use as initial positions. We'll run three MCMC chains so we create three initial positions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "xs = [\n",
    "    np.array(true_parameters) * 0.9,\n",
    "    np.array(true_parameters) * 1.05,\n",
    "    np.array(true_parameters) * 1.15,\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And this gives us everything we need to run an MCMC routine:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using Adaptive covariance MCMC\n",
      "Generating 3 chains.\n",
      "Running in sequential mode.\n",
      "Iter. Eval. Accept.   Accept.   Accept.   Time m:s\n",
      "0     3      0         0         0          0:00.0\n",
      "1     6      0         0         0          0:00.0\n",
      "2     9      0         0         0          0:00.0\n",
      "3     12     0         0         0          0:00.0\n",
      "20    63     0.0952    0.0476    0.0952     0:00.0\n",
      "40    123    0.122     0.0244    0.0976     0:00.0\n",
      "60    183    0.082     0.0164    0.0656     0:00.1\n",
      "80    243    0.0741    0.0123    0.0494     0:00.1\n",
      "100   303    0.0693    0.0099    0.0396     0:00.1\n",
      "120   363    0.0579    0.00826   0.0413     0:00.1\n",
      "140   423    0.0496    0.00709   0.0426     0:00.1\n",
      "160   483    0.0435    0.0124    0.0435     0:00.1\n",
      "180   543    0.0387    0.0166    0.0387     0:00.1\n",
      "Initial phase completed.\n",
      "200   603    0.0348    0.0149    0.0348     0:00.1\n",
      "220   663    0.0498    0.0271    0.0407     0:00.1\n",
      "240   723    0.083     0.0705    0.083      0:00.2\n",
      "260   783    0.0996    0.119     0.103      0:00.2\n",
      "280   843    0.117     0.153     0.135      0:00.2\n",
      "300   903    0.143     0.153     0.159      0:00.2\n",
      "320   963    0.165109  0.152648  0.162      0:00.2\n",
      "340   1023   0.173     0.164     0.170088   0:00.2\n",
      "360   1083   0.172     0.163     0.166205   0:00.2\n",
      "380   1143   0.171     0.165     0.160105   0:00.3\n",
      "400   1203   0.172     0.167     0.157      0:00.3\n",
      "420   1263   0.185     0.178     0.154      0:00.3\n",
      "440   1323   0.19      0.177     0.159      0:00.3\n",
      "460   1383   0.2       0.175705  0.167      0:00.3\n",
      "480   1443   0.2       0.183     0.183      0:00.3\n",
      "500   1503   0.21      0.19      0.19       0:00.3\n",
      "520   1563   0.211     0.186     0.202      0:00.3\n",
      "540   1623   0.209     0.19      0.213      0:00.4\n",
      "560   1683   0.203     0.193     0.21       0:00.4\n",
      "580   1743   0.201     0.196     0.208      0:00.4\n",
      "600   1803   0.198     0.2       0.21       0:00.4\n",
      "620   1863   0.198     0.2       0.206      0:00.4\n",
      "640   1923   0.198     0.199688  0.204      0:00.4\n",
      "660   1983   0.198     0.2       0.198      0:00.4\n",
      "680   2043   0.20558   0.201     0.201      0:00.4\n",
      "700   2103   0.207     0.203     0.205      0:00.5\n",
      "720   2163   0.204     0.204     0.209      0:00.5\n",
      "740   2223   0.205     0.202     0.209      0:00.5\n",
      "760   2283   0.204     0.201     0.21       0:00.5\n",
      "780   2343   0.207     0.202     0.214      0:00.5\n",
      "800   2403   0.212     0.203     0.21598    0:00.5\n",
      "820   2463   0.212     0.203     0.217      0:00.5\n",
      "840   2523   0.212     0.2       0.219      0:00.6\n",
      "860   2583   0.213705  0.204     0.225      0:00.6\n",
      "880   2643   0.213     0.209     0.222      0:00.6\n",
      "900   2703   0.216     0.212     0.223      0:00.6\n",
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      "940   2823   0.221     0.211     0.228      0:00.6\n",
      "960   2883   0.222     0.212     0.229      0:00.6\n",
      "980   2943   0.225     0.214     0.231      0:00.6\n",
      "1000  3003   0.226     0.217     0.232      0:00.7\n",
      "1020  3063   0.227     0.219     0.234      0:00.7\n",
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      "1060  3183   0.222     0.214     0.233      0:00.7\n",
      "1080  3243   0.228     0.215     0.235      0:00.7\n",
      "1100  3303   0.225     0.213     0.236149   0:00.7\n",
      "1120  3363   0.227     0.216     0.235504   0:00.7\n",
      "1140  3423   0.226     0.217     0.236      0:00.8\n",
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      "1200  3603   0.23      0.214     0.237      0:00.8\n",
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      "1300  3903   0.232     0.209     0.239      0:00.9\n",
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      "1340  4023   0.237     0.213     0.235645   0:00.9\n",
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      "1400  4203   0.235546  0.215     0.237      0:00.9\n",
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      "1440  4323   0.237     0.212     0.237      0:01.0\n",
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      "1500  4503   0.233     0.212525  0.233      0:01.0\n",
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      "1800  5403   0.231     0.211     0.229317   0:01.2\n",
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      "1840  5523   0.23      0.210755  0.231      0:01.2\n",
      "1860  5583   0.232     0.21      0.231      0:01.2\n",
      "1880  5643   0.231     0.209     0.23       0:01.2\n",
      "1900  5703   0.231     0.209     0.232      0:01.2\n",
      "1920  5763   0.233     0.21      0.232      0:01.3\n",
      "1940  5823   0.233     0.212     0.233      0:01.3\n",
      "1960  5883   0.233     0.213     0.235      0:01.3\n",
      "1980  5943   0.232206  0.212     0.235      0:01.3\n",
      "2000  6003   0.231     0.211     0.234      0:01.3\n",
      "2020  6063   0.232     0.212766  0.234      0:01.3\n",
      "2040  6123   0.232     0.213     0.233709   0:01.3\n",
      "2060  6183   0.232     0.213     0.235      0:01.4\n",
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      "3000  9003   0.23      0.221     0.238      0:02.0\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3100  9303   0.231     0.222     0.236      0:02.0\n",
      "3120  9363   0.231     0.222     0.236      0:02.1\n",
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    {
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      "8500  25503  0.232     0.227     0.231      0:05.6\n",
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      "8540  25623  0.231     0.227     0.23       0:05.6\n",
      "8560  25683  0.231     0.227     0.23       0:05.7\n",
      "8580  25743  0.231     0.227     0.23       0:05.7\n",
      "8600  25803  0.231     0.227     0.23       0:05.7\n",
      "8620  25863  0.231     0.227     0.23       0:05.7\n",
      "8640  25923  0.231     0.227     0.23       0:05.7\n",
      "8660  25983  0.231     0.227     0.229      0:05.7\n",
      "8680  26043  0.231     0.227278  0.229      0:05.7\n",
      "8700  26103  0.231     0.227     0.229      0:05.7\n",
      "8720  26163  0.232     0.227     0.229      0:05.8\n",
      "8740  26223  0.232     0.228     0.229      0:05.8\n",
      "8760  26283  0.231     0.227     0.229      0:05.8\n",
      "8780  26343  0.232     0.228     0.229      0:05.8\n",
      "8800  26403  0.231451  0.227     0.229      0:05.8\n",
      "8820  26463  0.2324    0.227     0.229      0:05.8\n",
      "8840  26523  0.232666  0.227463  0.229      0:05.8\n",
      "8860  26583  0.232     0.228     0.228      0:05.9\n",
      "8880  26643  0.233     0.228     0.228      0:05.9\n",
      "8900  26703  0.232     0.228     0.229      0:05.9\n",
      "8920  26763  0.232     0.227     0.229      0:05.9\n",
      "8940  26823  0.233     0.227     0.229169   0:05.9\n",
      "8960  26883  0.233     0.227     0.229      0:05.9\n",
      "8980  26943  0.233     0.227     0.229      0:05.9\n",
      "9000  27003  0.234     0.228     0.229      0:05.9\n",
      "9020  27063  0.233     0.228     0.229      0:06.0\n",
      "9040  27123  0.23316   0.228     0.22951    0:06.0\n",
      "9060  27183  0.233     0.228     0.229      0:06.0\n",
      "9080  27243  0.233     0.227     0.229      0:06.0\n",
      "9100  27303  0.233     0.227     0.229      0:06.0\n",
      "9120  27363  0.234     0.227     0.229      0:06.0\n",
      "9140  27423  0.234     0.227765  0.229406   0:06.0\n",
      "9160  27483  0.233599  0.228     0.229      0:06.1\n",
      "9180  27543  0.234     0.227     0.22906    0:06.1\n",
      "9200  27603  0.234     0.227     0.229      0:06.1\n",
      "9220  27663  0.234     0.227     0.229      0:06.1\n",
      "9240  27723  0.234     0.227     0.23       0:06.1\n",
      "9260  27783  0.2341    0.227     0.229      0:06.1\n",
      "9280  27843  0.234     0.227     0.229      0:06.1\n",
      "9300  27903  0.234     0.228     0.229      0:06.1\n",
      "9320  27963  0.234     0.227     0.229      0:06.2\n",
      "9340  28023  0.234     0.228     0.229      0:06.2\n",
      "9360  28083  0.234     0.228     0.229      0:06.2\n",
      "9380  28143  0.234     0.228     0.229      0:06.2\n",
      "9400  28203  0.234     0.228     0.229      0:06.2\n",
      "9420  28263  0.234     0.228     0.228      0:06.2\n",
      "9440  28323  0.234     0.228     0.229      0:06.2\n",
      "9460  28383  0.234     0.228     0.229      0:06.3\n",
      "9480  28443  0.234258  0.228     0.229      0:06.3\n",
      "9500  28503  0.234     0.228     0.229      0:06.3\n",
      "9520  28563  0.235     0.228     0.229      0:06.3\n",
      "9540  28623  0.235     0.228     0.23       0:06.3\n",
      "9560  28683  0.235     0.227     0.23       0:06.3\n",
      "9580  28743  0.235     0.227     0.23       0:06.3\n",
      "9600  28803  0.235     0.227     0.23       0:06.3\n",
      "9620  28863  0.235     0.227     0.231      0:06.4\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9640  28923  0.235349  0.227     0.230474   0:06.4\n",
      "9660  28983  0.235     0.227     0.23       0:06.4\n",
      "9680  29043  0.235203  0.227     0.23       0:06.4\n",
      "9700  29103  0.235     0.227     0.231      0:06.4\n",
      "9720  29163  0.235     0.227     0.231      0:06.4\n",
      "9740  29223  0.235     0.227     0.231      0:06.4\n",
      "9760  29283  0.235     0.227     0.231      0:06.5\n",
      "9780  29343  0.235     0.227     0.231      0:06.5\n",
      "9800  29403  0.235     0.227     0.231      0:06.5\n",
      "9820  29463  0.235     0.228     0.231      0:06.5\n",
      "9840  29523  0.235     0.228     0.231      0:06.5\n",
      "9860  29583  0.235     0.228     0.231      0:06.5\n",
      "9880  29643  0.235     0.228     0.231      0:06.5\n",
      "9900  29703  0.235     0.228     0.231      0:06.5\n",
      "9920  29763  0.235     0.228     0.231      0:06.6\n",
      "9940  29823  0.235     0.229     0.231      0:06.6\n",
      "9960  29883  0.235117  0.228     0.232      0:06.6\n",
      "9980  29943  0.235     0.229     0.232      0:06.6\n",
      "10000 30000  0.2346    0.2284    0.2316     0:06.6\n",
      "Halting: Maximum number of iterations (10000) reached.\n"
     ]
    }
   ],
   "source": [
    "chains = pints.mcmc_sample(log_posterior, 3, xs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Pints' diagnostic plots to inspect the results\n",
    "\n",
    "We can take a further look at the obtained results using Pints's [diagnostic plots](http://pints.readthedocs.io/en/latest/diagnostic_plots.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we use the [trace](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.trace) method to see if the three chains converged to the same solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pints.plot\n",
    "pints.plot.trace(chains)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Based on this plot, it looks like the three chains become very similar after about 1000 iterations.\n",
    "To be safe, we throw away the first 2000 samples and continue our analysis with the first chain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "chain = chains[0]\n",
    "chain = chain[2000:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also look for autocorrelation in the chains, using the [autocorrelation()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.autocorrelation) method. If everything went well, the samples in the chain should be relatively independent, so the autocorrelation should get quite low when the `lag` on the x-axis increases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pints.plot.autocorrelation(chain)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can inspect the inferred distribution by plotting histograms:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x648 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = pints.plot.histogram([chain], ref_parameters=true_parameters)\n",
    "\n",
    "# Show where the sample standard deviation of the generated noise is:\n",
    "noise_sample_std = np.std(values - org_values)\n",
    "axes[-1].axvline(noise_sample_std, color='orange', label='Sample standard deviation of noise')\n",
    "axes[-1].legend()\n",
    "\n",
    "fig.set_size_inches(14, 9)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we've analysed each parameter in isolation, but we can also look at correlations between parameters we found using the [pairwise()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.pairwise) plot.\n",
    "\n",
    "To speed things up, we'll first apply some _thinning_ to the chain:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "chain = chain[::10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/chonlei/anaconda3/envs/matplotlib_build/lib/python3.7/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n",
      "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
      "  alternative=\"'density'\", removal=\"3.1\")\n",
      "/home/chonlei/anaconda3/envs/matplotlib_build/lib/python3.7/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n",
      "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
      "  alternative=\"'density'\", removal=\"3.1\")\n",
      "/home/chonlei/anaconda3/envs/matplotlib_build/lib/python3.7/site-packages/matplotlib/axes/_axes.py:6521: MatplotlibDeprecationWarning: \n",
      "The 'normed' kwarg was deprecated in Matplotlib 2.1 and will be removed in 3.1. Use 'density' instead.\n",
      "  alternative=\"'density'\", removal=\"3.1\")\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x648 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pints.plot.pairwise(chain, kde=True, ref_parameters=true_parameters)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As these plots show, we came pretty close to the original \"true\" values (represented by the blue line). \n",
    "But not exactly... Worse, the method seems to suggest a normal distribution but around the wrong point.\n",
    "To find out what's going on, we can plot the log-posterior function near the true parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x648 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot log-posterior function\n",
    "fig, axes = pints.plot.function(log_posterior, true_parameters)\n",
    "\n",
    "# Add a line showing the sample standard deviation of the generated noise\n",
    "axes[-1].axvline(noise_sample_std, color='orange', label='Sample standard deviation of noise')\n",
    "axes[-1].legend()\n",
    "\n",
    "# Customise the figure size\n",
    "fig.set_size_inches(14, 9)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As this plot (created entirely without MCMC!) shows, the MCMC method did well, but our estimate of the true parameters has become _biased_ by the stochastic noise! You can test this by increasing the number of sample points, which increases the size of the noise sample, and reduces the bias."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can look at the bit that really matters: The model predictions made from models with the parameters we found (a _posterior predictive check_). Thes can be plotted using the [series()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.series) method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5c+Zw6623sm7dOs2A+e1vfwvA9ddfz1NPPcWWLVu6lO2f//wn5513HkVFRWzbto2cnByOHDnCI488wqeffsq3335Lbm4u//M//6OdYzKZ2Lx5M1dccYV2zOVydSnHo48+SmFhIcXFxaxcuXIgplggEAiAgSn5O9CcCK9AuFXhruYM0Dwz2dnZZGdndzufPVnpV708wavpqgHS1ep+TEwMlZWVpKamaiFwmzdvJjU1tUsvQW9X4QcrFMnf86UaVepndW+6yZMnB8x/qPuWn5+vFVkYN24cqamp2hx19z70pLRvf5b/Pd53tafewFDy9nVsdUx/D4raV09yk9QwPZvNpo2bl5eH3W7vdB0Oh4OUlBS2bduG1Wrt9M725e/DcA9lO6k9ND31pAwkp556KqmpqQDk5ORgt9s7eUw2bNjAhg0bmDlzJgDNzc2UlZWRlpbG2LFjmTt3rtZWr9dz6aWXAl5jp6SkhIULFwLeMLCkpCQaGxtpaGjgzDPPBGDZsmV8+OGHnWSbPXs2y5cvx+VycfHFF5OTk8MXX3zBjh07mDdvHgAdHR2cdtpp2jmXX355p366kgMgOzubq6++mosvvpiLL764DzMoEAgEPSNcRZ/jUUoHcsO+nnoFQsngH5YUTq5wq8JdzVl1dTUVFRWdPDPdzWdPVvqhb6WUVcVTp9NRWFjIzJkzyc7O7rKfvqzC91T+7ujr/fK/TqPRCBBgsPkbfcH3TS3zrB7T6XTMnz8fnU4X0Hfw/etJad/+Lv97vO9qd+9NOHm725eoq3fdf0zVgGxra8NsNgfco65krK6uBgi4T1lZWZSUlBAbGxtwHarhPmrUKIqLi7FaraSnp2O32ykpKdF0tN4wHDdv9eekNmiGApGRkdpnvV6P2+3u1EZRFO677z5+9rOfBRy32+1ER0cHHDOZTOj1eu28zMzMTl6YhoYGJEnqVrYf/OAHbNq0iffff59ly5Zx9913Y7PZWLhwIa+88krIc4LlCScHwPvvv8+mTZtYv349Dz/8MKWlpRgM4rEUCAT9T2+V5J4ykIpAT8NLQsngryB1JVd3imhXBll9fT3z5s3r1G938zmQIX/++TyTJk0KGwLX1XWrin9Xxml/yd/X+6Vep2pUBZexDjf/wf3431t/A8vfSOnKOAo2Lvp7seB439Xu3ptgeR0OB6mpqQHGo//1x8TEaPdfNSh0Ol2n++g/ZltbG0ajMWSp8VAyqnlS/m3T09OJjY0NuI7U1FQqKyvJysqisrKSGTNm8MknnzB+/Hj27t3L3LlztedHNbTU6+pu8WU4h7KJkLNhwHnnnceqVatobm4GvPGvhw8f7va8KVOmUFtbqxkSLpeL0tJS4uLiiI2NZfPmzYC3AEEo9u/fT2JiIjfccAM//elP+fbbb5k7dy55eXmUl5cD0Nrayu7du/skhyzLHDhwgLPOOos///nPNDQ0aNcoEAgEw4VwoUj9EcbRk9AoVYa8vDyKi4sDqlrl5+fz9ddfk5eXR2pqasD51dXVmqLovyO9qsipsvpfh3+eS0VFRYDy2hXqnif+oTypqank5eX1W8if3W7X8nlkWdZWsUP135UCDnSZcN2fIYuhnpngKmRdeTj6M7RLJVyieU9K+3bXZjDCmcK9N8HyqiGLaliY//X7z43NZtNC9UKVE1fH3LlzJ5IkMXXq1LD3qCfvtsPhwGq1am10Op1mUGVmZtLY2EhycjJFRUWMHz+exsZG7V1T88rU6+quoEBvwzCHEoO6FC5Jkh1wAB7ArShKriRJI4DXgHTADixRFKVe8roUngQuAFqB6xRF+XYw5D7RnHvuuezcuVML7bJYLLz88suaJ6YrIiIiWLduHb/85S9pbGzE7XZz++23k5mZyerVq7WiAOedd17I8z///HMee+wxjEYjFouFF198kZEjR7JmzRquvPJK2tvbAXjkkUe0Eoi9kWPy5MksXbqUxsZGFEXhV7/6lZa0KBAIBMOJrkKR+sN701OvgKpAquFW6nhtbW243W7S0tKorKwMCF+pr6/XZPGX1X812l/R7+q77lbPY2JiyMvLIysrSxtbXWXubhW/JyF99fX1lJSUMH/+fNLT0wNW0kP1H8oD4HA4SE5O1qq4paSkUF5ernlMKioq+tUL0dUzk5KSwr59+4iKisIjK7g9MgogKwp2+35KS3cw97S5xMbGYTTHsLWohKkZU4m1xqGgoCjetgpw4EAlUdHRWK2x3mqoQENDI80tzSSNTtL6lRUD5lHj+GjLNhITR3GopoYJEyZQ1SpR2VqPxwMK3v9qDh7CFBVFTIzFe74MDkcTLa1tJI5MpKbmMKYoEzGWGDyKAgocPNSIfX8xGdMysFgsOJoc7K+oICraAqWHiLONIMYSjaKAo7mFuqN1mM1m4hMSvIPi3TdHVry/yL7fFV//tUfriIw0YY6KBgUUFGprj1BVXcPopFFs/LKMUeWtWtVYWRXcd/0ALS0x/Oudb7DGxNHQ1OAN5yqqRVEUWtssvPPWN8RZvd9FRo4h/z8HGBGXwMZDZUREGjGbo2hra6Wyspq2tnZAooQGIJo3133DyFGJmCK946tz2dbWRm1tDdaYWJrKv2PkyAZMkZH4RAKgwdFAhb2SxFGJtJd9R4zVSlNjEyPjRxJpaqa21s2hGgcxlqkU5NcRGxdH42bveO0lu4iPT2BjfRUK3nLf7U4TL5Z8TUy0BUdzM/HxCXx6tBKopN3ZTl3dEUbExrDIOLyKpkiK/6yd6MG9Bk2uoihH/I79GTiqKMqjkiTdC9gURblHkqQLgFvxGjRzgCcVRZkTrv/c3FxFTZhT2blzJxkZGf18JQKBF/F8CQTfb7pSrtUNC0OFaqjKdV/COIJDo4J/D9VWrTyWnZ1NTU0NABMnTgwIV/GXxT8vwL+PiooKLazseK/D/3yj0UhTU1NAeE24nKOezIF9/36ioi1YYmJp98h0uDzUHKmnvqkZW0Ii7W4PLU4XjnY3Le1umlrdVB0+gktnQNYZcLZ7aGpt41BtI7oIAx0eHY62DjyyB2OkGQXwyOBRZNwyKLKCrIBHllFQcLkByad7K8cU1v7XsBTvQIIecCLmqqsxBnLs4L67+71vvL8sXVvwGCyjRpKkAkVRcnvSdigmKywGfuj7/A/gc+Ae3/EXFa8F9h9JkuIkSUpSFOXgoEgpEAgEggFnIBPu+0Ioj4u6cBaqNLDquehrInlPcxNCKfnffPMNcXFxLFiwIEAuq9XKtm3bGD9+vNbWPy9AzUNRvTwqfb0ORVFweWSUCDOKJZ6vt+/lcJvMtg47ja4KquuaOXikAdlowukpo61DpsMj0+FW8MgyLreCB+C9rwI7Dv69S8q6lQ9FBknnyy91Ibe3IHc40UVa0LV7oyFkZzPuxhqkiCiMNm9hG0X24LQXgaJgnnBM72qzF+FprsM0NgdDTDyg0FG7n/YDpRhHjsU0xruZtdzegqPoQ3QRUcTMvEA7v6ngX3iaj2KddRF6i3eeW8u/xmkvwjxhNuZxpwDgqq+m8avXMdhGE3f6seqidR8+hdzRRvyPbkUXGaX16awoJuaURZjHzgDAWbmTpv+8TmRKBrGnLfFek8fN4XUrQKdn1E8e1Pqs37iK9oO7sZ21nMgkb1RGy67NOLa+Q9SUeVhP/TEAbkcdtW89jD7aRuJlD2jn1779B1z11Yy8+D6MI5IBiaat7+Ao+gjr7MXE5PwIgI6avdSuf4yIxHGMXHyPdv7BF+9AdjYzetlf0Jt9oWGfr6Z191fEnXkd0VO8ifBtews4+slzmNJnEn/eL3zX5KLqhZuQdHpSbnxe6/PIe3/BeaCUhP/6Faa06QA0b/+Uhi/XYsk6m7gfLPNeU9MRDr10J/qYeJKu+QuqwVDz6v/DVXeAxMsfISJhDCDRuOV1HAX/wjr3Mqy5iwFoP1jG4TcfJHLURBJ/skIbv+qFm5CdDpL/+zn0ZisARz9ZScvOTYw450aip/3Qd++/oe79v2KekEvCojt919RB5dNLQW8g7daXfT0qHH77j7RXFDNy8b2Y0733uXnbx9R/sYaY7HOx/fB63zUdpnrNbRhiEki+/mlNpkNrf038BbeRnHw6ycnJx1005UQx2B6afUA9XnPyfxVFeV6SpAZFUeL82tQrimKTJOk94FFFUTb7jv8buEdRlPyQnSM8NIITj3i+BIL+pTceioFGNa6AgJCkiIgIsrOzwyaSh/Ns9IfR5t+HOp7L5eLo0aOcffbZxzwZvipIaWlpFBcXayFadrudzZs3M2HCBPbs2UN2djZNTU1kTJtGlCWWtg4XO/fX8EXhdzRK0ZQfasCpM1Pv9OBo68DlAZfHGz8eHv/VY+9n2dWO4nKiizAjGSIAcDfV4qrdjz4mnohE734mXuX/I3TGSGJOWaT12LB5Le7Gw8SdsQyDNQEAR9FHtJR8hiXnPCxZCwBoP7ib2jcfxpg4juQlD2CQ3BglD4eeX47e1UzaDX8jwhyFQXLh+GI1HXv/w8gfXEnM5NkYJA/uikKat/yTmLEZjJi3BIPkwaC0U//eYxgMOpIW3Ype8mBApq3oXeT6KmJnnktkfDI6FFzVO2jfu5WolElETZiFHhk6mmkp+gCjyYw151z0koyEQtvOL5A6HFimnI4xKhodCu7DZXiO7Mc0Kh3TyDFIyEjORjoqSzBGRWNOzUCHgk6S6ThQjCR7MI2Zhk6vR0LBfbQSubUB44hkDNFxSCjIbU146qvQmy1EjEgGFHTIuGr2IEkQOWo8Eor3/MZD4HJijE1EF2FCQkFxOpBbG9CbotFHx3rbyh48TYfR6XUYrQmAggTILUeRFA/6qFhNJqWjFdzt6CJM6IwRSCgge5DbW5F0OnSRxwoNKe0OUEBnitaeINnVDrLbe67eW/VN8bjB3Q46PZIx0tsnoHS0AaCL8Nus3N0Oiux97iQdkqSgeDzgcYNej07vW/dXFPB0AGjPqISC4nGBApJBf+y5VmQkn4Gs9umNA5RBAknnl74uy0gS+P7nk1XRXhPdIDnjatqtjLq+cXAG96M3HprBNmiSFUWpliQpEfgEb0jZ+i4MmveBPwYZNL9WFKUgqM8bgRsB0tLSZu3fvz9gTKFwCgYS8XwJBP3P8YY69bccmZmZNDQ0sGvXLlwuF2eccUaX8vTEIAvVRs03SU9PD+irOyMn+Fz/XJLm5mYO19UzftIUWmQDH327hy+K7bQZLRxpkWnzgNPjAbrKz/TmZygup1dRlLyKWUetHXd9NcbE8RjjRnuPHd6Lo/BDjAlpWGdd6D3b46J61a0gu0n52QtESh1E6jpoee8RdDWlpC76Oba08Zh07bB3M56dHzFi0nQSps/DrGsnsuMorm3vYo4yMSLnbCJ0LoySG3n/Nxg9LVjHTsVkMhIhudC31GBor8ccE4MpykSE5CICJxGKk0gD6Aa5JJKsSMhIyIqER1aQFR2yzoiCDo+iw+N2IcugGEzI6PGgQ3a7cbs9KPpI0Ed6j8kyLqcTRWdAiYhB8fXpbmtBURQksxUFHSDh6WhDdruQIqJAH+Ft63Ejt7eB3ogUGY3ik8vT2oSChBQVC4pXzfa0tyF73EiR0aAzes93u5A7nGCIRIowoygSiqLgdragSDp0kTE+c0jC096CIisQGQ2S3nd+B4rbDYaIYzLJMkpHG5JODxFRx+asvQVFwetx8j17sqsdxeNGZ4wEnc+gkd0ornbQGZCMJu8xQG5vBbznKz7jQ3G1I8seJIMJyZeXLLvd4HH5zo/w5rMoCorL6b0mX58AHpfPIDKaNJkUj9trVOmNSD6DSJFlFLcLJAnJEOk3vtPbkTES1SCS3W5QPF4DTec1lBTZ4+1T0iEZfNepgOx2ea/JEHGsT4/L+6XO70GXZWTZ4z3fz0hTPN7zVSMNQHG7aJUsPHD3//X6ue5vhk3ImaIo1b6fhyVJehs4FahRQ8kkSUoC1HJelcAYv9NTgeoQfT4PPA9eD81Ayi8QCASCged4QraOh2DPiVrh6LPPPiMiIsIbSuVy0djY2KV3pSchY6FKzKolWYP3nwhVTEBRFDo8Mk2tHXxecoDCphE8+UopDa7vaGp30+4BbzCET7n5cKvf2VG4HYdx1VViiBmBMd6RyT7XAAAgAElEQVRrLLkba2jY/Ar6KCu2s5ajLhkf/t9lxFLP1P/+IzarEYuuFXnvW0TUFTE6bR7xieOw6Foxx+zHYC4gLj6WhNQ8ovWtWHRtRD1ykKhIiIq8CJ3k+ydau6Tnjok1HjgHYLvvPy8dqRLtHjcu3WY6FAMdshHneBPtbjPuCBcd6GmVTbTrx+A0JOPusOCSLXQoRjo8etpdMh2YcOmjcClG3IoOl6LHgwGPosft/x96PIoel2LAo+hwo8etGHAreu/visF3TO87pvf1pcet6PAoBp/RokNGh4ziO+Y1MI4h03XRWe93gT4tLyFX730NJN/3Htm7+K+TvD8lyRtdp9NJ6CVJa6v9VMDjkdHrdUg6CU+9B7fLjdFowGj0qYzNMh63jMFoQAJcLjcSEBFpRJZl2p1OdDodOp2eyEiv8t3udAISBoMO2QEmUwQS4PG4cbndKIqCJSrK17YdJDCbItF3GHzXK4HOK6Pky1fSSb5p03v3xGtubibabEZWPEQYI+jo6CDKYMboM3Qwe3tydbSjN0gY9BGa7e6RXbhdMiZTJPia+98Rt9tNa3sLUdHRGA1GWltaaO9wERMTjcftobGxEVOUCXeHjMVipt3lJCo6mgiDEcl3BW6Pi+bmFsw6E61tXm9RVJQZp9OJSW/C6XRiNplxutq8BRw6wBIdBTow+IwQj8eN2WTG5XJ5P1vNXW7D4XS2oTMYiPAZQJLkLULgaGomJsZCc2sLEmCJiqalrQWA6Kho2pRWRtqGX4GmQTNoJEmKBnSKojh8n88FHgLWA9cCj/p+vus7ZT1wiyRJr+ItCtAo8mcEAoHg+89A7l0SjlD5MmVlZSiKgl6vJyMjA0mStBL4/h4R1fDo6X4aNpsNo9GoeXnV/Sfy8/O9+0i0dRCTlM7r2+r4YvdOdtc4qG9xdxnipXhctNm3orS3Ej3tTFT1rO7jv9F+oJT4RXeQkJxMvKEB85G3Me/9iNTsU0gemU2c3kFMwiEiI/OIj4tg1JhCYvXNxOkdRD/rW1HmvmODjVc/5AF5OOUIHHEmHPFWmuUoWoFDrniaPVE4WifS6jDTbozDKZtokyNpUyJpkyNxyt6f3mMmv2MROJVInLIR2U9tkbSrUjDoJfQ6HTrJ6w8wGQ0YJAXF7cEgycRER9DR2szIOCsoLhKsMThbmjAoMtGROiaNS8fZ3ESzo56pkycxItZKhEGiraUFV0cbqUlJROj16HVw+PAhrBYLI2w2dJK3wtfWb77B2dpMQvwIJk6cwL69e3G2OdHpvOqsajSYTZFMnjSJqqoq9Ho9u3fvZvLkyTQ3N3sVW5OJ3NxcGhsb+eSTT8jKysLj8QQ8g8FeuuBww/z8fBobG7WywdHR0VRWVmp9dLeBp3/Iot1uZ9asWTQ1NWnty8vLiYqKCtgvJz8/H4PBQEtLC9HRsbS1tZGRkcG4ceO079UKcv45Z9XV1ezatYtZs2Zp3ki1yIZaMro7jnklZ6LTeb1WlZWVpKZO0vaKCa6I15Mw1uAFDfU6rFYzTU0SEMGkSemUlJQwduwkGhsbtaIbqakT0Ol0neTft2+fb2FmGoDvs3ee1O/i41OpqanxPQ9ucnO9Doreem2PXdfkoIIfadTV1Wky7Ny5E49HZv78+QHtutrDaagymB6aUcDbPsvSAPxTUZSPJEnaCrwuSdJPgQrgJ772H+CtcFaOt2zz9SdeZIFAIBCcSPp7B/LeEMpzYrV6E3fVqmGZmZnMnz+fkpISFEXpc0jc0aNHOVTXwO5aD6+V7cDeVkZ1kwuXLAMdvlbbkdtbcDfWoI+yacnizspSGr58mchRExl59rUkGo8yOvIQhgMPkhKvY9LovYw0NBJvaCDuqh0kRLaSaLsLk95nDk1VpfgW+JZ22UiD28LRqBE0uC1Udoyi1DOBBo+FBnc0jZ5YGj3RNHksNMtmmuUoWjxmHL6fbgzoAb0O9BLeEC+3k8RYCxa9m1FxZtJHjSAlIRaDp4NDB/bSfLQOo15hTFIiuTNzGJUwgtbmRpytLSiy7FP04jXF2l/xClW5DSA/Px+n0xVgJPjnCaVkpuB2u7uotjaqy3uVEOmhtLQUXZuN6Oho9peVYaKDeWechsPh4KsvNrJw4UIACgoKUIBZs2ZpBmp5eTkWi4WSkhLmzJlDU1MTo0aNorKyEqfTyYEDByguLmbhwoWdjORQxnCw4T1q1Cj2799PXFwcUVFRAcYMoJWlVhXWUCW4rVarVlRizJgx2nwCmoIdPGZhYSGTJ0/G4/EELD44HI6AOVb3Rtq9ezculysgx0sdv7eFM4I3eQ218aV//33ZrBbQSqBPnTqVuLg48vLySEtLo7GxUWsXGxsb0sjwX5hR9/JT/45IkkRVVRXx8fFabpv6vHz55ZeYzeZeeW27uk71XfGXQX2vgs8bLsUAVAY1h2agGapFASRJYunSpbz00kuA15WZlJTEnDlzeO+99064PLt27eKKK65AkiTWrVvHhAkTtO8uuOAC/vnPf4bdHybc+QOBxWLp9w04V65cSVRUFNdcc81x9TMUni+B4PvEYFQ5Cx5z37597Nq1C5PJhNFoDLmy29DQoIXEjRs3rsu+PR6ZqoZWvviulvXbKtlR3UyLSw7RUqG55DNcRw4QO/cydCYLoGDY/D+Mqt3ItB+ezfjJaYw21pHo2sPI1h2kjjQwOsZzLJTLR4dsoM4dyxF3HLVtkdS2x3BUGk2dEs8Rt0377qjbSoMnhg4lEqPOu9Jo0svYTDoyxoxgfHwUcnMtudMmkp6UgNUUQYzJQLOjkdLSUmw2r4JfVlameRtGjx7N/v37iY+PZ/fu3cycOZPs7Gwg0Fg9cOAAW7duxWq1cs455wCENFZCGS82m81v5TtdM3ptNhvJyclaX+o4e/fuJTExkfb29m7vV1eoq/VHjhzBYrEwf/58wLuKPnbsWJxOp+bFALTS2NXV1Rw+fJiKigptLtSCDOpnp9PJ1KlTtXlSxwv3zIcq2W232zEajUydOrXTNfrnpZWWlgas/NfX1/PZZ58xYsQI3G434FW81T15VAU6eEzVUAzeCyiUseB/v/oy/+Hoac5dT2Tw7yvYCOnNex9sfPgbh6qhPX/+/AAPk3+u3ogRI5gzZ06f8gmPeX7iAzxt4QzUocKwyaE5WYmOjqakpIS2tjbMZjOffPIJKSkpgybPO++8w+LFi3nwwQc7fffBBx8c1/ld4fF4AjYGDf79ROJ2u7npppsGZWyBQBCenoRs9bfRE7yqW15ejsvlorW1lVmzZnXKfVH3oAkOiatv6aDAfoS3CqvYvPswTR3HxlAUWUuq97TUU7fhWZQOJ2lX3M/YiGrSImuINf+DsVOOkpG+g3Srg9SIw5iz2309fAZAkyeag+02qnQT+aJlFIfb0jjoiueQK4GDrgQOueJp9FiIQMJihNQRkSSaO/hB1jjmT0giKc5ErMmI0XDs728o5autrRZzhJnkrGSSk2Ox2Sxa++rqas14KC0tZdKkSRQUFKDX69m2bRszZsygsbGRmTNnUlFRwZgxY7DZbFp+EUBTUxOzZ8+moKCAoqIijEajZrwEe+eCy06rK9/x8fGUlpYybty4ToqZep+ampoYP368pvT3NYTRZrMxceJEXy6Dh4aGBqqqqjp5CtSwLDhmoLW0tDBz5kyampqw2+1UVlYyf/58WlpatI0fa2pqAkJ+uvNaqF4Vtdz2mDFjqKmpoa2tjfLy8k7X6J+X5r/hqnq/rVYrOTk5AHz55Zfs2rWrk2EUPGZcXBxJSUkBXoSuSoyHCyE93ve5Jzl3qgxRUVGd5sd/LLUvb1iWRwvLiouL0wwC1cAJ9xz559JVVFRoRoTD4UCn02nGjHp9sbGx2t+VqVOnUlVVpT0Pvckn9J9r1XANJUNaWtqw9Mr4c9IbNGoylb+n6sILL+S9995j/fr1XHihtzrL888/z89+9jNuuOEGnn/eW8O8urqalJQUkpKSqK7uVJ8gLOeffz7vv/8+l112Ga+88gpXXnklX375JQAtLS3ceuutbN++HbfbzYoVK1i8eDF2u51ly5bR0uJN3vrb3/7G6aefzueff86KFStISEigpKSEWbNm8fLLL3dKFCsqKuKmm26itbWVCRMmsGrVKrZs2cITTzyBXq9n06ZNbNy4MeCc9PR08vPzaW5u5vzzz2f+/Pl89dVXpKSk8O6777Jx48ZO57/88ss89dRTdHR0MGfOHJ599ln0ej0Wi4U77riDjz/+mL/85S8sXbqU5cuXs2HDBm655RZmz57NL37xC2pra4mKiuKFF15g6tSp7Nu3j6uuugq3282PfvSjkPPZ0tLCkiVLqKysxOPxcP/993P55ZdTUFDAHXfcQXNzMwkJCaxZs4akpCR++MMfcvrpp5OXl8dFF12Ew+HAYrFw1113sWfPnpByvPHGGzz44IPo9XpiY2PZtGlTr+65QCAYGELluoQLxegOVRHzhix5PQ1nnHEG4FVKVWVNpb6+nqT0SWyrdfFSoYvi977C5ftO8bhRZI+3ChPePTLqNjxLyqSJ5F54ERNMlYxP3E/KRVvISIZxiZce87CkQ1OHgQMdDva0p7LRkUtFx2gOtI+m0pXAIddIXEoUFgMkmjxkJOj58enTOMckkxRvY8SIEZp8ag5DZmbmsbCc6NHYLMcqNqkEFzKYOHEiu3btwmq1akaL/1z7b76nhrgkJSVRVlbG5MmTA8JxxowZo53vn6/hP56qIOt0uk4FFVJTUykpKdGMEkmSAnIX1LAc1TPiT319vdZu/vz5vlyH1D6tTKuKYkZGBtu3b9cU/nCFHtSx/Y0eNS8iNjaWyspKTcmsrq7ulVz19fWa16empoaampqAvoLzL+rr6ykvL8dqtdLU1KTNg9HoTSBXQ8Tq6+sxm81YrdZOSrv/mE1NTZqhqoZcqUZY8LvSXQhpqPdZlb+iogKHwxHS86Xm3AQr8ZIkBeSdqKXL583z7luTn59Pfn5+J0+F/30ODstSSU5OZty4cZ2uI9goU+WqqKgIMMrC3Vv/90rtPzU1tcf5hF3NdWxsbEgZehvqN9Q46Q2aweKKK67goYceYtGiRRQXF7N8+XLNoPn973/P2WefzapVq2hoaODUU0/lnHPOITExkU8++QSTyURZWRlXXnmltkJQWFiorQbNmzePvLw8zQWucs011/D0009z5pln8rvf/Y4HH3yQJ554gptuuklT5sNRVlbGK6+8wgsvvMCSJUt48803Wbp0acD5O3fu5LXXXiMvLw+j0cjNN9/M2rVrueaaa2hpaSErK4uHHnpI69NkMmkJtQsWLGDlypVMmjSJr7/+mptvvpnPPvuM2267jZ///Odcc801PPPMMyFl++ijj0hOTub9998HoLGxEZfLxa233sq7777LyJEjee211/jtb3/LqlWrAGhoaOCLL74AYMWKFVpfN954Y0g5HnroIT7++GNSUlJoaGjo6a0WCAQDTE9j4nvbp9VqxeVyMXHiRK2vzMxMausb2H3Uw5qv9rJxVy1OD0A+ssuJpDd6y80CDXmv0Lb1NU67+CJmz0xlmnkfU1NKmHh2DSOtNXiT6MEpR7DHlEiJM5X1NZPZ1zEGe3sSFR2jcXhiGDvCxKwxMYyLcHB5ZjoNtQcZM2ZMQGiXvzKWnBp47cE5DN3FyPsrO6pCp64Sq3PQ1Vz7r9pPmjSJuro6bVU41Nj+xlN9fT1NTU2dPDn+svgbBFarVUuc9/fk+CvU/nOgjhvcrrcr08EGs9lsDukJCV5ND2WgzZs3D4fDEbIanuop6MkqfGlpqTYvpaWl2iKrqqSqkSH+XhiAyZO9G2Sqnq+6ujrteVf7VZ+d0tLSTop/VlYWOp0uwFANpxgfb9W/1NRUqqur2bt3LyaTiUmTJgWETgUr8aGKdpSUlAQ8k8E5PV0VC/D/vbt36ngXWULNk2rMq/e5q3xC1ZgKfrf68qwPJ056gyZUDtG//vWvTsduvPFGbrzxxoBjycnJIc/vCWp86yuvvMIFF1wQ8N2GDRtYv349jz/+OABOp5OKigqSk5O55ZZbKCoq0qqjqJx66qmkpqYCkJOTg91uDzBoGhsbaWho4MwzzwTg2muv5Sc/+Qm9Ydy4cZoLetasWdjt9k5t/v3vf1NQUMDs2bMBbwJdYmIiAHq9nksvvTSg/eWXXw5Ac3MzX331VYBM7e3e0Iq8vDzefPNNAJYtW8Y999xDMNOnT+euu+7innvuYdGiRZxxxhmUlJRQUlKiJWd6PB6SkpI6je1PODnmzZvHddddx5IlS7jkkkvCTZVAIDjB9DYUo7uwlvr6elwuFxkZGXxTVMqn3x1l/W4HpdUtyHj/7fD3gh9+8yEiDm7l3BtuZEaKiwzzPqZesY1JN7gxGt4CoFWOZFfrWDY0zWNv0yT2uMZS7hxDrWsk40fFMDc1ivNnJHPLhGQtBMxfJv+Y//T0dGpqakIaXMEKS08rrQUTbjW9q7m22+0UFxdrq/bBiczBY3dVeSpYQYbOSl56ejpz5sxh7969zJgxI+xKszpOcNiV/zk9xT9UTlX4obNXJTi0KpSRHe4+9HTFPHheMjMzO+3wrlbNC+WFATRlOTMzMyCZP7iYQHV1teYNCQ4J7Imy3Juqf/7PmL/8o0aNoqCggJiYGIqLizGbzdq1VFRUdHpGgICiHapB4D/WxIkTOz3P4Yyv7q7jeBdZQvWv0+kCZO9qzsMZU8PdCxOOk96gGUwuuugi7rrrLj7//HPq6uq044qi8OabbzJlypSA9itWrGDUqFFs27YNWZYxmY6FCkRGRmqf9Xq9lsjXnwSP0earo+6Poihce+21/PGPf+z0nclk6pQnEx3t3QVYlmXi4uIoKioKOXZXddZVJk+eTEFBAR988AH33Xcf5557Lj/+8Y/JzMxky5YtIc9Rx/YnnBwrV67k66+/5v333ycnJ4eioiLi4+PDyiUQCE4MvS3tHO4ffXv1YV79ooh/V0mUHdmBt+juQdQN7g6vewhPbTnn3P47TonZQ07Ud0y/tYQpCQrwvwAc7IhnR+tY/n34THa6prCzbRzVHaOZMELPBZmJpLUcZLLiJCOjc/L3weqqAAU8lHIsSZJmcPlfb38qLF0pdF3mDPlWv4OTwlNTU7tVdHuych+qalRTUxMzZsw4oeW8VTmClWf/lXCgS2Owv2Xsi5HgbwQHe766ktVms5Gbm0tpaSlRUVEhvXP9dW1dvc+q/FOmTOHQoUN4PJ6Aawk1F+np6SiK0uViR1dj9XUhwL+tfyl21eCSZTkgX6an+UG9uc/97bEeDgzyXrknN8uXL+d3v/sd06dPDzh+3nnn8fTTT2ven8LCQsDrZUlKSkKn0/HSSy/h8XS1A0Fn1NUxNaztpZde0rw1/cmCBQtYt24dhw9790M9evQo+/fv7/Y8q9XKuHHjeOONNwCvYbRt2zbA6xl59dVXAVi7dm3I86urq4mKimLp0qXcddddfPvtt0yZMoXa2lrNoHG5XFr9/b7IsWfPHubMmcNDDz1EQkICBw4c6Pa6BALBwONvjKgJ4WpZ2q5Q/9HPy8sj/9si3thYwN+2y8z601f88KmtrNzmYldFLfWbXqJuw7NE6ZycYSng7qS1bLiuhIanGvkg404eSX2WH1rzqdBP4bHqq1i692FOKV3LIvs/eFV+mJwf/Q9P/vr3vPWrn/D3RSNYe8PpXH36RJJtZnQ6iYKCAs3brV5HTExMyOtTlc3U1FQ2b95Mamqqpnx1d70qFRUVndqpsf3BqEnRoeY71Fyr5XPVVXF1jkPtx9GTsbpSKlUZenvP+5twMocz0AaLYMVdnaveyOpvVKSkpAyIktzVvbXb7Vo+y3fffYcsy+j1esrLy8Pe966uO9xY/fEcqQa3x+PRZJRlmc2bNyPLcsD4we/88XIi7tNQQ3hoBpHU1FRuu+22Tsfvv/9+br/9drKzs1EUhfT0dN577z1uvvlmLr30Ut544w3OOuuskB6GcPzjH//QigKMHz+e1atX99elaEybNo1HHnmEc889F1mWMRqNPPPMM4wdO7bbc9euXcvPf/5zHnnkEVwuF1dccQUzZszgySef5KqrruLJJ5/sFLKmsn37du6++250Oh1Go5HnnnuOiIgI1q1bxy9/+UsaGxtxu93cfvvt3cawdiXH3XffrW2qt2DBAmbMmNGnORIIBP1LcAWhmJiYgNX94BVQRVGodbTzbnEdT/9Hosl9AEWBjkPbkTvaMI+dgUXXyqwR25k29jXOzIBZ4z/GqPPgVnQUm1L5Z90UtrlyKGydQot+NBfOGMMVp6ZxR1Is+Vu/oa6uzrexYDpwrBIYEJAIXlZWxubNmzl48CB1dXWdwmH8rw/QDBu1KpYa8hMcYtQVAxHb39MwnP6kJx6dwWSg56K3lcDChQ/2RtbeekL7Ij/QZf5IVlYWZWVlJCQkaDk0ZWVlWm5PKO9LOE/ZQD1H/vlHQMB+MmpBiuPZt6on4w/GZsSDidiHRiDoR8TzJRAMLl0l8mZMm0aD28jKL8p4u+AgbgLzYJz2AlK/eYD/Oj2ORWcmMzNqFwZJpsOjo6ghmW9cc/imNZuC1gxGmaO48exJXJg7juhIY6fx/aujBVdOcjgcAftM2Gw2tmzZQnFxMaeddlpA+Fm46zueUJL+6EMwuIRLWA91L/ujtHlvxxwI+dUCCuGqnPX3dfeFrvayUveTORH78PTHfRpserMPjTBoBIJ+RDxfAsHgo/4DPjopmS077XxSrWfT3mOb8Torimn48mVS0lO46L+mc2ZMAWdYCok3esuyFrdOYJNjFl+1ZPNty1QyR9s4J1Xm0jNnkpgQ36WCEHr/lraApOXgtv4bIaqb3nWndPSHMjSQCpXgxHCiDdP+Ng5OFsM6+Dq72hy2vxgsI24gEBtrCgQCgWBY09d/lGVZ4UiHgee3t7PpvZ0AdBzx5odEJKSRFnGQBZO2cM7kHZw2cQc63SfUuuL4onkWXzhOYbMjhxHWRG4/fxo3TEsi0qDvJIsajuMfRgbHwsrUY/77t4TKtfDflDA7O7tHK6n9EUpyMoajfB/xz5PoSWW/46W/w+hOtPyDQVdlpNXCGQNRLOJEhn4OJYRBIxAIBIIhR29yPRRF4WBDGys/382LX1cFfOco+oAxu55lyY/G8uNJEhlmOwDbG0bx14Nn8lnr6ZS1jedHky388qKprLCYvOOMiabV0URNFwaUusGkunu3/waT0Hn/Fv9d39Xv/TclVL8PF7/fk00Ju6M/+hAMDYa7YRosf2trK8nJyT1exBgOnojgHB2dTsf8+fPR6bw1uYZa7tdwRoScCQT9iHi+BIL+o7uQlNYONx8WV3H/2yW0esDT0kDLji8wjEgma1oSi+M+5yLrvxlnrkVWYGtLJhuaTuPjxrl4IpK5d1Em0+MUbHFWGhsbA3YPV0sTd+ctCSVfdzHsfY1x7w8FbjgogYLuGe55EqHk998gsyfXNNznQNA9IofGhzBoBCca8XwJBP1LcK6HLCt8XvgdT3xZSfGh9oC25l1vcq5zNdecbWZWahseRcdXzdm8Vz+PTx2nERc7kl+cNpozM1PZuWNHJ0WoL7HtoXJRujMauqvw1BuDQxgoA8NQn9ehLl93dCW/upDQ03fwZMnDOVkROTQCgUAgGFL0RQHzD0kps1fyYZmDv3x2AA/gOlpFU/56YkYlc9mZsVxq+4z50wvRS7CtPpaHq6/iXw0/wBI9ij8uOYV7bHp27NhBZuYYLcwjlCIUbgO+cPL1ZkO+cN+HW3UOxfGWYRaEZqjP63DPkwgnv/8iQXfXczLk4Qh6hthYcxCQJIk777xT+/3xxx9nxYoVYc9ZuXIlL7744nGPvWvXLnJycpg5cyZ79uw57v7CYbFYwn7f0NDAs88+O6AyCASCoYGqIKob1oXaUM5/00f1e13MSH79r73c+HETf/YZMwBjnQWsmPY+xT/+O0+lPc74yCqePbyEBd89x7U1/8eMBSt47adncMd0F4m6Zp8xE7jfRPDGc+E24AtmoDbk8ze29u3b120ITW/bC3qGmNfBoTfvYF/aC76/CA/NIBAZGclbb73FfffdR0JCQo/Ouemmm/pl7HfeeYfFixfz4IMPBhxXFAVFUbREtROBatDcfPPNJ2xMgUDQP/TW49KVV0QNs7LZbJrRk5ScwqbSCv76TTNNrkbcjjoc376HOdrEknNGcdWIj5ibXYLLI/HhkRm8dvhSvmrO5r/GG1l7dS6jExM0gyMtLS3k6m2wIiRJUsDeMN0lyw/kxo69XXUWq9QDg5jXE0tvC1YMRIGL4R7KdzJzchs0BbdDfVH/9mnLgVlPhG1iMBi48cYb+etf/8rvf//7gO/279/P8uXLqa2tZeTIkaxevZq0tDRWrFiBxWLhrrvu4qmnnmLlypUYDAamTZvGq6++SktLC7feeivbt2/H7XazYsUKFi9eHND3Bx98wBNPPIFer2fTpk2sXr2a888/n7POOostW7bwzjvv8N133/HAAw/Q3t7OhAkTWL16NRaLhYKCAu644w6am5tJSEhgzZo1JCUlBfS/b98+rrrqKtxuNz/60Y+0483NzSxevJj6+npcLhePPPIIixcv5t5772XPnj3k5OSwcOFCHnjggZDtBALB0KMvITldKYjqedExsRQ7Iln6/HZAr52X2L6bW9Pf4Kc/lEiIUdjfPppHD17HuvoFxETZuPkUE3877RStr7aWwP0egkPCQilCeXl5ZGVl9dhA6UnIT1+Vo95Wrxru1a6GKmJeTyy9XSQYiEWFoR5qKOiak7sowCAZNBaLherqarKzs9m2bRsvvPACzc3NrFixggsvvJDLLruMa6+9llWrVrF+/XreeeedAIMmOTmZffv2ERkZSUNDA3FxcfzmN79h2rRpLF26lIaGBk499VQKCwuJjo4OGNu/H7vdzrEdsqAAACAASURBVPjx4/nqq6+YO3cuR44c4ZJLLuHDDz8kOjqaP/3pT7S3t3Pfffdx5pln8u677zJy5Ehee+01Pv74Y1atWhXQ90UXXcRll13GNddcwzPPPMM999xDc3Mzbreb1tZWrFYrR44cYe7cuZSVlbF//34WLVpESUkJQJft1J28hwOiKIDgZKK3Cbldta+qqeXxd7fy9l4FRfbQVvY17qbDnPGDDH468l0uiN2MpMh8WDOdf7YuYUvLDH480cjNZ00mwmgIUEIaGhqw2+3Ex8cHbFTpr5iou4sP9CpsX6ow9fYcUelpYBDzevIiCg0MHURRgJ7SjeExkFitVq655hqeeuopzGazdnzLli289dZbACxbtoxf//rXnc7Nzs7m6quv5uKLL+biiy8GYMOGDaxfv57HH38cAKfTSUVFRbfK9dixY5k7dy4A//nPf9ixY4dWtrSjo4PTTjuN7777jpKSEhYuXAiAx+Pp5J0ByMvL480339Rkv+eeewBvONtvfvMbNm3ahE6no6qqipqamk7nd9Vu9OjRYa9BIBAMDr0JyQnlFckv2s6/D0fyauERrZ2nvor5lX/gzkUS8yYpNHmiWHVkMf84ciHNciIrzhnJbxOjiY6OpqSkhKysLE2W6upqqqursVqtVFRUdOlxCedd6c+Qk3DFB7piKKxSC8S8nsyIUMPhyclt0Awyt99+O6eccgrXX399l21CeSfef/99Nm3axPr163n44YcpLS1FURTefPNNpkyZEtD2+uuvp7CwkOTkZD744INOffl7cBRFYeHChbzyyisBbbZv305mZiZbtmzp9ppCybt27Vpqa2spKCjAaDSSnp6O0+nsczuBQDA06GlITkVFRYCC2Nru5g8f7uaNYgeKuw5nxXZixs/gorgv+PnkdUw6C/Y1xfBAxaWsazqfackj+fC+0/C0t5Kfn8/evTWYTCaysrIoKysDYNKkSdrnyZMnM3nyZEpLS2lpadE26/OvJNaVgdLfISe9VY56W71quFe7GqqIeT15EaGGwxNR5WwQGTFiBEuWLOHvf/+7duz000/n1VdfBbwK/vz58wPOkWWZAwcOcNZZZ/HnP/+ZhoYGmpubOe+883j66adRQwgLCwsBWL16NUVFRSGNmWDmzp1LXl4e5eXlALS2trJ7926mTJlCbW2tZtC4XC5KS0s7nT9v3rwA2VUaGxtJTEzEaDSyceNG9u/fD3gVBzUhOFw7gUAw9OhJlS+1allMTAz19fW0dbi595WtTHvgY94oPoLidnFkzU1cUr+Czyb9lP9J+ytuRc+t++9mgf0lWlN+yhd3ns1fLhqPNSoSm83GxIkT0ev1OJ1O/EOmVa+vuimfuqIOdFtdzZ/+rm4lqjAJBMOHgapeKBh4hEEzyNx5550cOXIs3OKpp55i9erVZGdn89JLL/Hkk08GtPd4PCxdupTp06czc+ZMfvWrXxEXF8f999+Py+UiOzubrKws7r///l7LMnLkSNasWcOVV15JdnY2c+fOZdeuXURERLBu3TruueceZsyYQU5ODl999VWn85988kmeeeYZZs+eTWNjo3b86quvJj8/n9zcXNauXcvUqVMBiI+PZ968eWRlZXH33Xd32U4gEAw9woXkqKjeDpdHZvPRKE7/6ze8UlgNQITkYtmoDZT/oZHnrlc43G5h+b7fcX7Z06ROu5Qn5+n4zaJpJMTHa6vlqnGQkZGBoijs2rWLiRMnMnHiRFpb/z97dx7Xdn0/cPz1CVegTUigJ1AaWmiLUFps2qqtR73m7Jzzdh7T6dTNee322NTN6XS6eUynczrt9pv3nNc8Z3VKq1awlZJeUI4UQg/oFxLuQL6/P+AbEwhHWyilfT8fjz5Kvvnmm88Xqo+8+byPFjIzM8MCD2NNexqgRGrpvDfkw5EQY8tQ/r8mDkyHdlMAIYaZ/PsS4iuBgM6Kjzbw67crAWjeVICv4Gl+cMUx/GT2h6TF7uQzXzb377iIT1vyuGS24tTDJuD3+/sEHb1TvwoLC2ltbUUphdlsJjMzc8AaldBhfRkZGQOue7iKgqUFrBBC7D1pCiCEEGJUfbZ1F5f8bQ1tPZMwFQFOs67kxpu2M2vqC6xryeKm6mv4uCmfP549l0dnWvn444/ZvXs3SUlJfa7n8XjC2jw7nU4aGxspKirCbDZjs9n6nUPhcrnweDzBoMdmswFEDCyGc7aF1GEIIcT+IQGNEEKIYVOjNXPuY6upaeygY1cVBDo5ekYLt0x9kry8MlxaMt8rv4r/Nh3JD4+cwFXJnVhjG1m5shCr1UpmZiZlZWXB9FOjMF/TtGDqhxFc+Hw+jj/+eOCr4KR3JypN0/B4utPcjKDH2Ll3Ovv+4k+6WwkhxNgz6gGNUioKKARqdF3/hlIqA3gOSAK+AC7Wdb1DKRUH/B1YANQD5+m6Xrk376nr+piabSLGhoM5fVOIwbT7O7n22SLe3dBdE9iy9XPsq3/DfZfEc9rMFmo6JnKD+ye82nAsJ6aa+ODCw4iKiqKhoYE1a9Zgs9mCAYwRdBQWFvZJJQsNKkJ3QEIDkNBzfD5fMHAx0siAYOez3mRXRQghxp5RD2iA64GNgLXn8T3A/bquP6eUegy4HHi0529N1/VMpdT5Peedt6dvZjabqa+vJzk5WYIaMWx0Xae+vh6z2TzaSxEiopGq59B1nec+q+KmV77qfGiL8nL7ks+46Js6LZ0d3FNzAX/bfRZHZk7l8ytmsWP7dmpqarBarRQXFzNz5kw6OzuDr7fb7TidTrZs2bLPsyBC780o9M/MzBy0jkYIIcTYMaoBjVIqDVgO3An8WHVHGMcDF/ScsgK4ne6A5vSerwFeAh5WSil9D38tnpaWRnV1Nbt27dr3GxAihNlsJi0tbbSXIUREwz1fBaBql4/T/1xAQ2uAtmoXzWv/wzXfyeHnU/8PS1Qzz+z6Gg/uupiY+GQKbz0BS3wMABOSkykuLmbt2rXk5+eTl5cXcRK73+8ftlkQMltCCCEOXqO9Q/MA8HPAGAiQDDToum78qq4aSO35OhXYBqDreqdSqrHn/K96Hg9BTEyM/GZOCHHI2Zup9f3p7Apww7Nf8EZJ9+wXPdBFZsndPPBtDee0j/isKZdbPd9nc5uD//xwMTnTJoS9XtM03G43+fn5eL1eNE3r0x51uArzjfcbzusJIYQ4sIxaQKOU+gawU9f1IqXUccbhCKfqQ3gu9LpXAldC5FxoIYQ4VO3p1PpIPtq0g0ufLqRLD4CukxTTxI1pT3PezzU8TfFcU34VbzSdwGULknjnnKP6vN4ILpYsWdJnp8ioVXG73cNamC+F/kIIcXAbzR2aJcA3lVKnAma6a2geAGxKqeieXZo0wNNzfjUwDahWSkUDicDu3hfVdf1x4HHonkMz4nchhBD7wXDUwOxL2lVLu59vPvQBZfV+/PXV1L/1IJcun8xdS77AEtXMYzvP5E87z8cal8C7l89m547twZ2XUEMJLoa7MF8K/YUQ4uBmGq031nX9Jl3X03RddwDnAyt1Xb8Q+AA4u+e0S4BXe75+recxPc+v3NP6GSGEGKuMGhhjyryxs2GxWPqc63a7+0yjr6ysZNWqVUOeWh96jVfXujnstncpq/cDOintJbx28UYeO/ZDKtqmsnzLg9y9/TJuOSKRN687illZmf1ePz09vU8gYbfbZUddCCHEXhvtGppIfgE8p5T6LbAWeLLn+JPAP5RSZXTvzJw/SusTQoj9bk9qYCI1ACgpKSE3N3fIaVcWi4Uv1hVz5+edlO9uI9DeTEycmcsnvsKPcp+hszOGX1ZexD+9Z3Dq7ESeOMERtoMkaV1CCCH2F3Uwb3I4nU7dGKAmhBAHg4qKimANzEANTowdnD1tAGCktn1c2cx1z3+JrgdoXPUsqTWv8M8bpzDfUsF7jYv5lef77PQn8fLFs2jS6oLXH6n20EIIIQ4tSqkiXdf7TkCOYNRSzoQQQuyZ3jUw/aWLQXgDgNTU1CHvkpgTxnHmn1dz3fNfAqDQuWrmagpva2VaTC0/rPoFV1TdzFy7hb+cEE8MXaSlpQXTyywWCytXrmTNmjXBNbtcLgKBAG63e9+/CUIIIUQvB2LKmRBCiF72tPXw3jQAKKrYzbmPf0pnIIDubyd9XCP3TXuAI+ZV8c72Ofxy9y3Ud47n4WVmliw6GgBjFzwrKwufz4fFYiE2NhaXy4XZbMbr9Qbnf+3LzBshhBCiPxLQCCHEGLAnrYf3NPjRdZ0fP7+Wf6+rpdNXR/1//shlR3i5Z/kOAih+uu0GXtJOYNG4Bh5aPpmurq7gGpxOJx6Ph+rqalJTU3G5XCxdupRt27axdu1asrKygsGM1NIIIYQYCRLQCCHEGLAnrYf3JPjZ1djCsns/oKlnnPHEqN385TwXy+d1UdCQzc9rf0atfxL3HxtHfvZSTCZTn6YDdrs9rLYHwOv1kpWVRWlpKfn5+RLMCCGEGDES0AghxBjXuxA/PT0dTdNwu93BQChS8PPoO0Xc88F29EAXyhTFMeOL+EP2/YwzmfhlxYX803c2y2bZuXlSA7nZmcFgBQgLkELT28rKygCCOzP5+fkUFxdjtVrDXi+EEEIMFwlohBBijIvUptl4HEllVRU//08Va9w+/LtraPzPPfzu8olcO+MzNrY6+Lb7Tsrap/PqD47ArpoJBNIwmb7qIRPatax3eltLSwvl5eWUlpbidDqx2+1YrVZKSkpITEyUnRohhBDDTgIaIYQY4/ZkRs3OxhZO/WsJLT0pZpN2fcjLV5WzOLOcf9R9nd/Wfg9bfBxb7zyFqKgoNM0UFhz1DpZ6p7eFBlHGMYfDQWJiosykEUIIMSIkoBFCiINAaJtmh8MRMXD4d5GbH724Pvj4G4kfcdeZr6J3xnJV2Q95p2UZ381P4oRUHa/XG0xTGyhYilTbE2lnqL96HyGEEGJfSUAjhBAHgd5tmltaWkhJScFut6PrOt97ag3vb6nDv7uG1o+f4E9XWbhw0kqKmudwvfunVPsn8dtFJpYvOwygT9H/YMGSEEIIMVokoBFCiDHOSAMzWjTbbDYKCwvxeDxMTpvORc+W4u3oPtf6+R954+LN5E+CR3aew/3bv43NZOL9Kw4jKSkpGMj0V/Q/1Jk2QgghxP5iGvwUIYQQBzKjjiUlJQWXywWA0+lkuz+Ob67YHAxmjrMU8skN23BMieaSLTdy7/ZLuHqpg/d+dgy1tbVAePey3kX/GRkZwfQzTdNG63aFEEKIMLJDI4QQY1xoHYsRcLzvMfHUFz66WptpK13NzSfWc/3kZ9nU5uCqqlvY1jGF/96wlMwpicHXGZ3LQndf9mSmjRBCCDEaJKARQoiDSGKijd9/3kbxjnb0Tj9tL/2Ipy/YzvIp8K/dx3NLzdXEx5j575WHkTklMawFc6QAZU8GegohhBCjQQIaIYQ4SDQ2t3PM71fS2B4AIGe8m0d+1UxqAtxUdjHPtpzLXKvOtc4Yku22QefVCCGEEGOBBDRCCHEQ2FCtsfzh1QT0AF1NGt9Kc3HvtAdp6BzPuVvvZl17LtcvtJLOTpQy09DQMOC8GiGEEGKskIBGCCHGuOc+reDGVzYQ6Gil/j/3cfPCEm5Z0sya5sO4uuom6jrtPHPeDNobtuNwHA4gLZiFEEIcNCSgEUKIMUrXdW761zqeK/QAkBDVzkNnlvCtuc38c9sibm+4CZs5js+uX0jp5k04HA7KysoAyMzMlBbMQgghDgoS0AghxBjU1RXgjD8XUFzjAyA1ZidPZP2GWeYWbi09l7+3XsyyrGT+cMZsNmzY0KdOxphXY9TQ+Hw+LBZLWHAT2jBACCGEOFBJQCOEEGNMU6ufo+95H62ti6bi9zg87kueOWMtsaqT71bczketC/jZSTP54QlzcLvdwToZt9uN0+kECAYqocGMEdwYwzSlYYAQQoixQAIaIYQYQ8p3eDn5/o/pBPwN2zmt5SH+cr7OtvYJXFF9D+XtaTxz+UKOypoEhLddDv06dK6M8bUxwyY1NVUaBgghhBgzJKARQogx4n+btnPJ00UAKALcNPtdrjlG50NPGtdp9+HtGs+KM6aQFte2V9e32+2kpqZKwwAhhBBjigQ0QghxgHO73by+sZF7P3DT1eojumUXD8z/F6fb/8cz9V/j1rofYImL5s9HR9Ph3Y1l1oy9eh9N06ipqcHhcEjDACGEEGOGBDRCCHGAcbvdYQX6f1q1nRe/3EWnrx7/azfyzPd2cbS9k7trL+WxXWfhMOvckN9FTFQsTqdzr4KQ0JoZu90e1jBAghohhBAHMglohBDiAGMU6B922GFc96+NFGxtACAjsZknf1rPdHsnP9j0A97qWM5pc8ZzVFwtTb5O5uXN3evgw+fzhQUvdrs92DBAAhohhBAHMglohBDiAGO325k9J5tT//QJ21u7j+UnbOIJx28w6bFcUHozRX4nv1iWRlqHm9paL3a7nbKysr1OE4vUmjm0YYAQQghxoDKN1hsrpcxKqTVKqS+VUi6l1K97jmcopT5TSpUqpZ5XSsX2HI/reVzW87xjtNYuhBAjqanVz0kPr2F7K3iLXmdp1W08O+NmfF3jOHPrHyjyO7kmO8BEXyl1dXWcfPLJnHjiiQAUFhaiadoo34EQQgix/4xaQAO0A8fruj4PmA+copQ6ArgHuF/X9SxAAy7vOf9yQNN1PRO4v+c8IYQ4KLjdbjRNo7ahhfm/fpeGtgCdjdu5NO6v/H15Eesbp3Jm2X1UdKTy6vfySInx0dbWxoIFC4IdyZxOJykpKfh8vtG+HSGEEGK/GbWUM13XdaCp52FMzx8dOB64oOf4CuB24FHg9J6vAV4CHlZKqZ7rCCHEAaV3YT90F94bAy17s1gsvP7xF9y6urvlsiLAHdmv8t2jA7zqzuLnjXeDHse6X52I3tHCzokTsVqteL1eNE0LpodJipgQQohDzWju0KCUilJKrQN2Au8BW4EGXdc7e06pBlJ7vk4FtgH0PN8IJO/fFQshxNAYhf1G+pfRRcxisUQ8f+2OVm5d3UbA3w67K3lg2h/47oTXeWLX6dzQ8AfsCWb+c+Vh6B0tuFwunE4nixcvDg7DlDQzIYQQh6pRbQqg63oXMF8pZQP+DWRHOq3nbzXAc0FKqSuBKyFykasQQuwPRpcwl8tFamoqNTU1/bZAfnFNJT972UWgvYWm127n2fO28LWQtszz0iz8++pjMJkUbrdbupEJIYQQIQ6ILme6rjcopT4EjgBsSqnonl2YNMDTc1o1MA2oVkpFA4nA7gjXehx4HMDpdEo6mhBi1NjtdlJTU6msrAzWuRiMlLQXvqzjd29vAcAW28aLV1TiTOvkJxsv5F/+szlhlo1bT0jDZOr+nY50IxNCCCHCjVpAo5SaCPh7gpl44ES6C/0/AM4GngMuAV7teclrPY8/6Xl+pdTPCCEOZC6XC4/HQ2ZmJjU1NdhsNqB75ovFYuGW5z/hzcru/41Nianj7xm/Ij3Wz1Wbf8h//V/nhBQ4f1oLVqt1NG9DCCGEOKCN5g7NVGCFUiqK7lqeF3Rdf0MptQF4Tin1W2At8GTP+U8C/1BKldG9M3P+aCxaCCEGYuy8AHg83RvMSinsdjuFhYUAOJ1O7ni7nDcrdTp2VTLV8zovnfcFiVFNXFrxaz715/H9hckssPpISUmR3RchhBBiAKPZ5awYyI9wvBxYFOF4G3DOfliaEELsNaMZgNFGubGxkYKCAvLy8gCYMmUKN7y8if+V7kbv7GDaZ7fwxjWN0BXP+VW/w9WayS3HTiLT3ITDkUlGRsYo35EQQghxYBu0y5lSarJS6kml1Fs9jw9TSl0+2OuEEOJQZBTpa5pGQ0MD1dXV5OXlUV9fT8aMGfzqQ43/lXaX/y2xbeD9n7XS3BXHWVt/j6s1k7+cO5tsSzsOh4OamhrpXiaEEEIMYihtm58G3gFSeh5vAW4YqQUJIcRYF9oMwGq14na7sdrsXPiPTayr8RFob+briQU85bid6s6pnFv7OO5ABj/JbsNUX0FOTg4ZGRnSklkIIYQYgqEENBN0XX8BCEBwBkzXiK5KCCHGME3TqKmpITk5meLiYianpPHdl2rY0Qa+tW9y6sZLeST9Hta3ZnFu+T3s7EzmwePiWTQnLaxmJrQlsxBCCCEiG0oNTbNSKpmemS9KqSPoHmophBCiF2OAphGI5DkXc87TW2gHdL2La9Ne4/YTWnl3WzrXNdxBp27m0RPHccSCeRGL/6UlsxBCCDGwoQQ0P6a7ZfJMpdQqYCLdbZOFEEL04vP5goMvO0xmznpsJX5AEeDWlCe5bF41L1blclPjb0mIiebX8/2kTkoKC1o0TcPn88lwYCGEEGIIBg1odF3/Qil1LDAbUMBmXdf9I74yIYQYg4wgpGKXjxP+8BFdXZ20lbzDo8s3cmbShzy563R+23g5U8ZFcdcx40m22yguLsZqteJwOMJ2eIQQQggxuEEDGqXUd3odOlwpha7rfx+hNQkhxJi2vno3pz38CQDN79zLiq+tYnkS/L72O/x51zlkT4jl25N3kjH9MBwOB1arlYKCArxeL16vN7jDI4QQQojBDSXlbGHI12bgBOALQAIaIYSge5imz9c9BLNkZzsXP1UEQGKUjxeu3MYCG/y05BxeCpzLydkTueW4yej6LEym7r4sDocDr9dLeXk58+ZFrqURQgghRGRDSTm7NvSxUioR+MeIrUgIIcYYi8XC5s2b+ffnlTyxCXRdZ0pMPSsybiMjzsMPKn7Gu4FjufiIafzm9LkopcJer2kaXq+XefPmUVNTg81mk6BGCCGEGKKh7ND01gJkDfdChBBirLLb7WzVp/DEJjf+hlpsq+7gpRuasMe2cmnFr/mkeR4/P2kmV58wp89rQ2tm7HY7Npst7LEQQgghBjaUGprX6WnZTPfcmsOAF0ZyUUIIMZbc/84mHvzADUBGxVO8fLUbuqI5v/w+Slozuf+suZyxMHLHstCuaBA+e0YCGiGEEGJwQ9mhuS/k606gStf16hFajxBCjCm3vPwl/1zT/b/EI8cV8/hFa9ndnMB3yu+iikxWfHcBx86e0u/rI7VmltkzQgghxNANpYbmf/tjIUIIMdrcbjcWi6XfmTChz+u6zvdXrOGdTXW015Zy2qwd/Gn6fVR2pPCd6t+wgwn8cgHkTYobxTsSQgghDn6m/p5QSvmUUt4If3xKKe/+XKQQQuwPFosFl8uFpmnAV/UtFosl7Pn6+nrOe2wV72yqo3njRyzf9mMenX43Ja2ZnLv1HnZ2TuA/V87nyMMc+Hy+4PXdbnfw2gZN03C73fvvJoUQQoiDTL87NLquW/bnQoQQYrQZ9Ssul4vU1FRqamr61LfMzs7mm498Sk0LgM7184r55Ryddysnc53vDrr0eApvOYFkixlIDbu+ERAZ1xxsiOZgO0ZCCCGEGGCHpjel1CSlVLrxZyQXJYQQo8Vut5OamkplZSWpqalhwURbRyfffKyQmhZQBLhl6pP8cs7bvLxjEVd7/0K0KZ51vz65J5iJfG0jYKqoqBi0m9lgO0ZCCCGEGFqXs28CfwBSgJ3AdGAjEPlXikIIMYZpmkZNTQ0OhyNsJsymsnLOWbERb0eApo/+xqNnVnPuxEKeqjuN3+y4AnuMiTevXcy4uJgBrx8aMDkcjgGL/wfbMRJCCCHE0Lqc3QEcAfxX1/V8pdQy4NsjuywhhNj/+psJM2V6Jt98YiMdQNf613l6ySuclgr3eb7Nw3XfZlq8iZevOZKJyUlDeo9IAVN/9iQAEkIIIQ5FQ0k58+u6Xg+YlFImXdc/AOaP8LqEEGK/izQTJnGqg5MeKaIDsEY18fK3ClieDz8r/iYP111Irs3E77+WPORgxgiYMjIygrsvvRsF9H5NaAA00LlCCCHEoWgoAU2DUmo88DHwT6XUg3TPoxFCiBEzUh3BjOuGXt94bLFYwrqSuTwNnPbXL+lsa2KSaQcvzPgF8xJKucZ9Iy9yJcdPg4fOzaars3NIgcZAQzQj2ZsASAghhDjUDNS2+WGl1BLgdKAFuAF4G9gKnLZ/lieEOFSNVEG8cd1AIIDL5aKysjLssXH9T7bsYPlDq+j07sL27g28NO1qUmN3cmnFr3mzcSknTfBx6/IcZsyYMeRAIz09vU/KmN1u77dj2Z4GQEIIIcShSOm6HvkJpa4HzgemAs8Dz+q6vm4/rm2fOZ1OvbCwcLSXIYTYS0YQE1oQ7/P59rmVsXFdq9VKcXExeXl5eL3eYPDw2roqrnuuBIDslv/yj5wH6MLEpVV3sjEwl5uXTebk2ROorq4Oa8Es7ZSFEEKI4aGUKtJ13TmUc/vdodF1/UFd148EjgV2A08ppTYqpX6llJo1TGsVQoh+RWqhPBw7N8Z16+vrmTFjBvX19cHrP/m/0mAwc+z4Iv616FGaTEmcXf5HNgbm8sz3FnLl15w4HI6w3ZKBdlqEEEIIMXIG7XKm63oVcA9wj1IqH/gbcDsQNbJLE0Ic6vrrCLavrYyN6yYnJwd3aGpqani6cDcrirbTWl7E2Y4NPJDxElvapnNp1a/Zpey8eNlcJse2Ba9jt9ul65gQQggxygZtCqCUilFKnaaU+ifwFrAFOGvEVyaEOKQNVBA/0PBLGLihgHHdtLQ0vF4vS5cuxev18tSGTlYUbae9ZhMXNt/OI/OfZ01jFudtvZu6TjtvXZVP+0532E7QSDUuEEIIIcTQDdQU4CSl1N+AauBK4E1gpq7r5+m6/sq+vrFSappS6oOeNDZXT80OSqkkpdR7SqnSnr/tPceVUuohpVSZUqpYKXX4vq5BCHHgGqggfrBWxgOlpRnXNZlM5OTkkJ6ezgNrO3m/vBnQue3wVfzxQp1XSlO51H0XbYEEXrlkFvU15X12gkaqcYEQQgghhm6gpgAfAM8A/9J1ffewv7FSU4Gpuq5/oZSyqGqmggAAIABJREFUAEXAt4BLgd26rt+tlLoRsOu6/gul1KnAtcCpwGLgQV3XFw/0HtIUQIiDT+/hl70f9z7PSEuz2+2kpKSEnVNXX89Zf/mMysYA0YF27pn+KGcnvc/fd32d22u/z8RxcTx17kx2eLaRnJyMzWbrUycTqXGBpKEJIYQQ+2a4mgIs03X9ryMRzPRcv1bX9S96vvYBG4FUuttEr+g5bQXdQQ49x/+ud/sUsPUERUKIQ8hQWxn3TktLSUkJ202p2bGLY+/7lErNT+t/7+fhcVdwdtL7/GH7hdxaezWp8VH884JZ7N61PVhrEwgE+qxnsPQ3IYQQQoysQZsC7A9KKQeQD3wGTNZ1vRa6gx6l1KSe01KBbSEvq+45VtvrWlfSnSInHYeEOAhF+u86UnF+pIYCRh2O2TaR8/6vjC7A1lrGi2d8yAJHgJ9vPI8X/N/m1NxJ/HTJBFavWhVs6bx06VKqq6tJTEzssxMUqXGBEEIIIfaPUQ9olFLjgX8BN+i67lVK9XtqhGN98uV0XX8ceBy6U86Ga51CiLGjdxqazWYLPu4wJ3HR/5UBMDNuG0/NvpcJ0VFctvYS/hdzFtcuy+DHJ2ezbds28vLyKC8vZ8aMGTgcDhITE4M7QcY8nP7eR4IaIYQQYv8Y1YBGKRVDdzDzT13XX+45vEMpNbVnd2YqsLPneDUwLeTlaYBn/61WCDFW9JeW9vpnW7j1wzo6dlWxMO4LVhzxPH49mvPL76E4ZhYPnpvL6YdPB7oL/t1uNzNmzKC4uBir1YrD4QAIBi0Dpb9JQCOEEELsH6MW0KjurZgngY26rv8x5KnXgEuAu3v+fjXk+DVKqefobgrQaKSmCSFEqEhpaS8WVnPXh3X4NQ/Hlf2Ypy5rZ1v7ZC5130m1fworLszh2LndwYymaRQWFpKSkkJOTg5Wq5WCggK8Xi9erzcYxEQKWmQ2jRBCCLF/jeYOzRLgYmC9Umpdz7Gb6Q5kXlBKXQ64gXN6nnuT7g5nZUAL8N39u1whxFh1x2vFPLl6G6Bz7awCbjy2nY8rrVzdcA8+0wTevHI+uz0VaFp3fYzH0735m5KSAoDD4cDr9VJeXs68efMkYBFCCCEOIKMW0Oi6XkDkuhiAEyKcrwM/HNFFCSEOKrquc9mTn7CydDdRgXZ+m/4EFyS/zau7j+anjddjjjVTfMvJWONj0OwJwfbLmqbhdDqDgYumaXi9XubNmyeF/0IIIcQBZtSbAgghxN5wu91YLJY+Hcd8Ph/p6en4OwN87Q/vs7W+lY4PH2bF8jWcnNzIIzvP4b7tF5M5MYE/nzmDrrYmiLcH2y9v2rSJpKSksGBGCv+FEEKIA1e/c2iEEOJAZnQYM+bKGIGHxWJBa2pn3m1vUa51MKmjlDfPfJ/jZzTyM9c53Lv9Er6eO4V3fnw8E+y24DU0TaOsrAy/34/X6w1ed6hzb4QQQggxOlR3JtfByel06oWFhaO9DCHECDGCmNTUVGpqasjJyWFHG5zy4GoA5sdv5q+OOzDTylXrLmJ13BnccuosrjgmK+wahYWFtLW1YTabcTq7hxLLLowQQggxepRSRbquO4dyrqScCSHGLCNNrLKyEofDwUcVTVz/QjFt7mLOmPgZD+S+yQ5/EhdU3klp3HSevdzJkVmT+1zDarXi9/vJzMwMBjDSflkIIYQYGySgEUKMWZqmUVNTg8Ph4N63N/BmFfh3buW6wC3cvFjnk4Ysrq65nYauRFb//FhSksajaRoejweLxUJ6ejqapuH3+8nOzg4r+Jf2y0IIIcTYIAGNEGJMMtLNsrOzueo5F4XbIMHUwh8XPsspiTorShzc0fU7EqJiuTO/jXjlD6aXATidTin4F0IIIQ4CEtAIIcYkn8+HI3MWJz30KXWNTaREb+ep7AeYZXZze833eDpwOktnWLk4o42OdigoKEDXdeLj44Mtmd1ud78F/xLQCCGEEGODBDRCiDGpJcbCKQ+sxl9fTXbxzTxzeSNxsWa+W3EbHzUt4OrFyRw1sZOcnIU0NDSwdu1alFJhdTLp6el9riupZkIIIcTYIm2bhRAHFLfbHWyZbNA0DbfbHXz8f6u39nQy07nK8SFvX7Ob3c0mTi/uDmb+ckY6C22tpKamAlBWVkZMTAxRUVGUlZX1ub4QQgghxi4JaIQQo6p3AGOxWCgsLMTlcgHh82V0XeeyJz/hllc3kGBq5eH033NrxnO8Uz+fMzx/oy72MD6+YRHj/I04HA5KSkp4++23AVi6dClHH300AIWFhRLUCCGEEAcJSTkTQowqY0Bm70J8j8dDQkJCcL5MbPx45v3yTbQmL4mr7uDFy3YyK1Hj7tpLeWzXWSyeYeWymW1sWr+OrKwsmpub6ejoACArKyt4bafTicfjkToZIYQQ4iAhAY0QYlQZhfihAzKdTicNDQ3B+TJ17SZOuuddAI5pe54/f38j/oDi4rLbWN3q5NyZcNPZc/F4PJSXl1NcXEx8fDzHH3880N1AIPT9JJARQgghDh4S0Agh9ju3243FYgnrLub3+1mzZg2LFi0CoKamhuTkZO5/w8VrNYoourh+8jNcl/cqa3cl8/3KG9kRN4eXL59HxoRxwYBI13ViYmLCiv8lgBFCCCEOXhLQCCH2GyOQCU0zAygtLaWyshKLxUJJSQlmsxlHxgwu+ccmqr2txBf+mRUX1HJE4mae330St27/AeY4nZfOTePwrDQAUlNT2bhxI0op5syZEzYkUwghhBAHLwlohBD7rPeOC3QX8/t8vmBrZLfbTSAQCAYyOTk5FBQUsHv3bgKBAMuWLSMxMZGVK1dStbuNK97fBMCiyjt57KIvMceauMH9E15pWMbRdh8/PSUbn88XLO4vKyujq6sLs9mMzWaTIZlCCCHEIUICGiHEPutd2G90JjN2YELPSUtLw+VyYbVaqa2tJSEhgfz8fBwOBwBlKpVHN9YTo/z8fMoKrsj7knWeeK7ddhPb4g/nqmm7WX70PPLy8tA0jcLCQgBSUlJISUkBCAuapPhfCCGEOLhJQCOE2GeRCvt774yEnmMymVizZg1JSUksWLCAmpoa6urrOe+JzymtbWSC+zX+durnzE8oZUXdcu6qv5zkiXH8cW6AzIx5eL1eNE3DbrcHg5jQ4MkIZNLT0yWYEUIIIQ5yEtAIIYaF3W4nNTU12JnMCCRC09HsdjtWq5VPPvmE6OhoEhMTsdls7Gwz4bz3U/RAF8dsuIZHzq2D6Di+X3kjb3uX8v0jU1mS5CM3NxfobukcugsTaS0SyAghhBCHBglohBB9RKqJMQZdhgYQoXUymqZRU1ODw+EIK8gPTUdrbGykqKgIs9lMUlISmZmZ3LBiNf/bDtaoJn4z7VG+Nb+Oz6rMXL/9VrbH53H74ToLM2NISckNriMnJ4eUlBRJJxNCCCGEBDRCiL4i1cR4PB6gu1ald51M6Nd2u71PQX5OTg6FhYXU1dUxYcIEli5dyu7mdk56uIiWXVUclVDEQwteY1LMbv5QeyGPaGdx8uEpPHLxIryNDbhcrrAhm9KOWQghhBAGCWiEEH30N+wSiFgn43a7g3UrxuvtdnswCPL5fFitVpqampg0aRJvbtzNLa9tQu3cwM86b+RHRwYoa53KmVX3Udw6i4e/lc43jpobvFakVDYhhBBCCJCARgjRj/4CiUjHjNbMEJ4SVlhYiMfjISsrC6/XS3sgikv/XUcrdeQnbOL3S/9EljnAY0XT+CN3kTYhmb8dO4787LTg9fpLZRNCCCGEAAlohBD9iBRIAAMGF713dgDa2tpYv349n+ww8c8t0LX+39x2Ui2XT36LWv8ELiq9jYKYhdxy3CSyx7eHpZQNlsomhBBCCCEBjRCij0iBhDHvxel0DhhchO7sZGZmUlXj4QdvNNAK5Gy+iz+d/BkzJ8M/6k7lnu2XMslq5e0LZlJbvY3U1PCUMp/P16dmRmbLCCGEECKUBDRCiD4iBRLGvJfBgovQnZ0/vrGB12u6O5j9csrTXJj3GWW7ojj9o4v40nYOj1+Uz8LUeFwuV8Rdn9BUNoO0ZBZCCCFEqFENaJRSfwO+AezUdT2351gS8DzgACqBc3Vd15RSCngQOBVoAS7Vdf2L0Vi3EAe7SIHEUOa9GDs79pQMlv1lHa2Vazk94S3uPHYDSdFe/rrrW9znuYBZs+1suXYZzT6vpJQJIYQQYp+YRvn9nwZO6XXsRuB9XdezgPd7HgN8Hcjq+XMl8Oh+WqMQg3K73WiaFnZM0zTcbvcorWh47Ol9NTY28peSDpY/vo70ThfPZt7K4yeuZluzlW+W3s+dtd/jT2dl8/qPTiQ2OmrAlDIhhBBCiKEY1YBG1/WPgN29Dp8OrOj5egXwrZDjf9e7fQrYlFJT989KhRiYMbfF+PBv7FRYLJZRXtm+2ZP7eufLbRz76HoKqzR+PPkfvDf/Fg6fGcOPP1rMWRV/ZPHhx1Lxu1M5eVFu8DXp6el9dmLsdnvEHSIhhBBCiEgOxBqaybqu1wLoul6rlJrUczwV2BZyXnXPsdrQFyulrqR7B0c+FIn9JtLclrGWNuV2u7FYLBEDjND76v38dq2FI+75gNbKtZzS8AC/O8dPSryXf2vHcWft5QQm2fngysMxBfx0Z44KIYQQQgyfAzGg6U+kT0J6nwO6/jjwOIDT6ezzvBAjZawPgDR2Y4xALLTTWUJCQvC+jDqX2XPmcMUzxazztJIXv4VbFj3I4in1fOEZx3U191DYksNzlzuZPSE2eB0hhBBCiOF2IAY0O5RSU3t2Z6YCO3uOVwPTQs5LAzz7fXVC9GOsD4Dsb5cJwmfPJCYmsrI2hm+/+B6TO8q4L+d/nJ30Pjv9Nq75+FjeGHcdVyx1cH1yM5OjW3C5SsfcbpUQQgghxo4DMaB5DbgEuLvn71dDjl+jlHoOWAw0GqlpQoy2g2UAZO9dJiDsPlZva+Gi339CfN2XXN9+G9ec2ImKiubRnWfzyM5zycpOYsvVxxEbHUVFRcWY3a0SQgghxNgx2m2bnwWOAyYopaqB2+gOZF5QSl0OuIFzek5/k+6WzWV0t23+7n5fsBD9OFgGQPbeZWppaSEnJ4dtvgD59/wHs2rj6omvcdVhL2ExdfLPdUk8wq14ozP55FcnEOhoZbunBovFMqZ3q4QQQggxdihdP3jLTJxOp25MNxdCDKz3LpOmaby5qpCbP2qlc+N/OSfhJW76ehuTYzXe8y7inoozKVO5/ONcB6pFIy0tjerq6uDfkWpxJKgRQgghxFAopYp0XXcO5dwDMeVMCDEKQneZtu5o4IT7VxOn2rl04ttc6fgbqbYuVu9I4Ye+GylsyeHP30rnyDlpuFwurFYrJSUlLFmy5KDZrRJCCCHE2CABjRAHiUhtlzVNCw6pHOy59PR0tu5oYP5PX6Fr83/53lE+fpDyBpNjdrOqzsEP/+tk7YSL+Ov5h3FDyw5y5qSF1dwYQUykoKW/40IIIYQQ+0oCGiH20UCBxHDMQnK73fh8PlJSUoLvoWkaHo8nGIjAwG2XgQGfe+b9Ndxb2IktyssVTTdz1fJKJlrhk6a5XO/+KZ8253Hj8ijuP3x22Iydsd7ZTQghhBBjnwQ0QuyjwQKJ4bj+5s2b8Xg8OJ3dqaRGbZjxGAYf7pmTk8OqVatIT0/H6/Vit9t5fk0lv329hPS4Xdw+/QPOS3qPeFM7/ymJ57GdZ7J+wrd55fuLmO+Y2KdrmaZprFq1itzc3LD5NGlpaZhMJhlsK4QQQoj9QgIaIfbRYIHEcFzf6XRSWFhIQUEBuq4THx+P0+ns8x4DDfe02+2kp6fzeeFaXtk5gfUNDeTWPs399pc5M1+ni2heaTiOx3eewdaudFb9/jhSksYDkWfs+Hw+cnNzqa6uJjExEbvdTlpaWrCWRgghhBBif5CARohhMFAgMVzXz8zMZO3atSilyMzMjPgeRuCRkJBAWVkZLS0twVS1z4s3cfbfy4jr8HNm2tv8PusNsvMq2d0ED302jWetvwZ9Er89Pp6FC/Kx278KZgaasZOYmBgWzC1ZskTSzoQQQgix30hAI8QwGOlaEk3TKCsrIyYmBl3XKSsrC76HUcMDX9XJNDY2Ul1dTWtrG39+t5L/7IDp9W/xo86/csnSLuzxXWxsdfCL6mt5uWYe+Yk6D5w6m6OOOqpPADNY17KRDuaEEEIIIQYic2iE2EeR5rfs6dyVgRoLWCyWPjUzvR+7XC7sdjspKSl4PB7Wba7kpo9bSGjzcGZGKecmvcf8hC10dMJrrvE8F38ThW2H8f00L4lRzcyfP5+urq6wexhqUwPjfkci3U4IIYQQh6Y9mUMjAY0Q+2g4upwNFBT5fL5Bu5xpmsb69et5uMjH5zsC5De/zhmBJzlroU5CrM6m1um8oJ3Mi5VzmGibxXM3HMl2Tw2ff/45VquVE088EWCPA7HhCOaEEEIIIXqTgKaHBDTCMNKtlYeD0TVs3LhxdHZ2Bov+I7VoNui6zt2vF/HQix+Say7lrJw6vmErIC12J40t8HxxEq8l/owSfxYPf20qNO8mNzeXxMTEYMezHTt2kJKSEmxsAIR1aBvo+zQWvq9CCCGEGHv2JKCRGpoxZCQ+PB4qH0hHurXycDC6kK1ZswabzQZ0/ywitWj++6ot3Pr6FuaYKzlF/YuP8z8kcwr49Sg+9uVz7/aLeXPHYSyfaefKjGjy8uZSXV1NWm4upaWlAMHifeN7oWkaKSkpwa+H8n2K9G9EhmgKIYQQYn+SHZoxZCTSew6UlKH9EVjtSa3HSK6nv2t7PB40TcNqtVJUVITFYiE2Npb4+HgWLFjAIx9u5i/vlpBV/X+cmlXHt+b6yDJvo0s38WFpHC9XzubjyT8iP20Cy6x1JCfZmTRpEl6vNxgMGelr0P8ujNTECCGEEGK0yQ7NGDbYB+nhnncylBkq+yPY6L2D4nK5wgZJ9n7PvVnTnnTjGskdndBr+3w+AoFAcNfEuN/6+nrWl2zm/vJ4TO3VLPv8Y06wfEbR4k+ZfIyXrgCsacllRfVpvNV4JNkT7Dz95NfxeRspLCykrc3OjBkzyMnJCVv7QN+b0C5m0rVMCCGEEGOFBDQHmME+SI/Eh83Brrk/0rV6B1Yejyfs+dCp9KFrMqbSh66xP3vSWnlvh2UOJdAKvbbVaqW4uJisrCxmzZrF+8WV/PStGmbEbWNR62s8FP02J85XxMfo+Lri+dC3gNcLAnwcOImvH30M9/10GT9pbMDlcrHNXUVNTQ0pKSlhDQR6t1kezEi3oBZCCCGEGE6ScnYAGijlZyTSgYZyzX1936HuqFRUVAQDK2OAo/GeaWlpVFdXB9+7srKSgoIC8vLy8Hq9A65pb1PrQteTkZEx6H0a1zVaKMNXncOMIM0IuioqKvi4cAO3FsH47atx+l7gpLlRHOeoJzW2DoDynfDW1kmsmnQtn7fk8tR3j2DprCn7vM7B1j/aKYhCCCGEOLRJytkBaE9SpPrbMRloYrsxryT0+kPpWDXYFPjB1jRUQ9nlibQzEPqeDoejz1T6vLw86uvrB11Tf8Mhy8rKyMzM7Hf+i7Eel8uFUgqHw9Hv9zL0uoWFhZSXl2M2m4NpZB6Ph+r6Dk5+oAD7zo9Zmh3NESl1vJXlIjuvEoD6lig+bTmCR3aex8dN+bQ1j+ffNx7NcQ1aT5ezvsHMcO6oDDZEUwghhBDiQCMBzX6yJ2lb/X1ANT5sGkXdoR82A4EAq1atCnaucrlcwQ/URvpRZWUlJSUlLFmyJPheQ/0Au68fmkPTrGJiYoKF6sY1jLVlZGRgs9mw2WzB7l6TJ0/G5XIF39MIcpKTk/F6vUNaU3/duDIzMyP+XNLS0sKOK6UoKCgAwOFwDPjzM667ceNGXvxfHd954k/kzEhgkb0S57gNrD78M6YntgDQ1BXPFy1z+Lf7CP5bHKDUegKv//gU7poVvt601JSI9zXUgHSopGuZEEIIIcYaSTnbj/YktWuglJ/+zjFSslJTUykrKwMgKyuL6urqYK3G0qVLw3YZ9mTde5OG1HtnqqKignXr1tHW1sYpp5wSvJ5RH2PswKSlpVFaWkpiYiIdHR3BezP+7n0/+5IaFennEmnHywi6cnJyIv78VhWXc/a9/2JWho15CaXMjS8lu+k95k9tZry5+5ydfjuf7kqlwNVGUdRxVE44jduPiGH+zDSqqqrIzc0NS6sbzKHSdlsIIYQQhxYZrNnjQAhoIn2g37RpE0lJSSxevHjQ86H7A2rv1ChjPonVasXv9wc/AEeqQTGZTJSWlpKfn09eXt4+30N/azKO95fSBlBYWEhraytKKcxmM5mZmRHrhIyhj6G1MaE7TMauVOiH/335IN9fDUqkn19xcQn3v7mDqtbt5M4czxxzJbPNlTh2vcGC6V3Yx3W/ti0QS/FOC5+XdbHRfCzF479BR8cU7jgpgcwZGZSVleH1esnKygq7TwlIhBBCCHGokxqaA0jv7ltlZWX4/X68Xm9weGGooaZGAbS2ttLZ2cmcOXOCH4R7p4VZrVbWrl0b/NAc6T0Hs6fpWsbXRqpSTk4OBQUFNDU1MWHCBI4++mgA3nrrLZqampg/f35YMGOkwfWu1zGZTMGUOuNYYmJiMD3O2FUJNZTgYKB0uqfeKOCvH25kuq2VXEccc8yVzIraxF+yviBzCkSZuq/RGohjQ3scL30ZxWbbcjZEH8WWtnT+ddl8jvM3sbC5mcbGRgCch+cDkJKSQmtrKzU1NcGfofG9lRQvIYQQQoihkYBmhIUWibe1tWE2m4Mf6PckRap3G+GysjLi4+ODOxxKqbDdCpvNRkFBAXV1dSxYsACv19unLmRfGDsXvddktAzu/T4+ny+4XiPgsVgsNDU1UVZWhs1mC35P0tLSIgYYg9V3GMFjpA5j/QU2mqbx3ker+cUnARK3v8Y03yccNnsCsybrZMTVcHHUVm45TSM6qvv8gK6o6pjC2o3xvLgpkWrHxWzqyMTdMYVPfraMGabOYI2TsbNjBHpWq5Xx48eH3Wd8fDxWq1XaIwshhBBC7CVJOdtPPvvsM+rr68nOziYjIwO3200gEMBkMgU/ZA+lK1lFRQUbN26kq6uLpUuX9qlBMepjNE1j5cqVTJs2jUWLFoXV2ZhM3dsKe1J70Tv1ykh5S0lJISEhgU2bNuH3+zn66KPDPsSH1vMYwVdo+2WAlStXEggEsNlswZqfSPNlhjpDJTR4PPzww9lcWsrZj64mddpEpsXuIDVmJ/atL5EavZ2s3BlMS/CSFruTeFN78DotgTgq2lPZ6rXjcm2jUp9JbfqZlLZl8H+XL2ZBZlpYCtxgtUW963R6t6CW9shCCCGEEF+RlLMDjKZp+P1+srOzg7+J752KpmlacE6J0ZWsd/2JkRpldPcy2O32YF2Jwefzcfzxx0fsXpaenj5goX8k/QUW5eXlAOi6Tnx8fNiaUlNT+wRfNpstGHwZ18nKyuLzzz9nwoQJmEymPh/27XY7Ho8n7H3r6+upqqpiQ1Utv1njZ2K0ht37JYm1H5E2ZRzTMlKYHFOPq3Q7U1pdVBwPcTEhNzQd6nxQ3aVR1u7gQ98CSrfDpoomqi1HEpu8iDtONDN35kzic8twQjDFLjm6EyDYRjpSLVNvvdtem0ymQbvLRapdGkrQK4QQQghxKJGAZoQN1Fa39yR6Y15JpE5og3Ua6113MVh6Vu8UttD3ivRB2nhN6PlZWVmsX7+eqKgosrOzw+4NGFLwpWkaXq+XhQsXUlRUxLZt27hxZT2TUqeQ/F4J9igvsZtewUYd6fOcJJtbSYryktiwjknRu/n6JDMXzW3rc6+duoldfjvb/Ums22rm9c0JaDPOpqZrKtUdk6iobeOC7HHccvWlzI+Li/izi7Qb1rt9M/StZerv30FoGl2kwKf3zzBSq28j6AWGnFYnhBBCCHEwk4BmhA005yU9PT3isMpIx0Zi4GHvXYPetSiRgqempiY2btxIdnY2zc3NmM3m4JyYI488kpiYGO763QpeiXJgMbVgjWoiuuojxv31t0yalYPdEoMlqpn4+hLidm8gecokJkyZSEyUj6WqDlv7Di488atiewAyjS9KaQnEoXVa2O7XqfBEU9Q6k92J89nZmURtYzRVZW7qzVm0TD2SH6fVM3nyeOKPM5PXM+Cyd3e0uLi4iIFAf7thRhBTUlKCrut9apki1cHs7ayYSEGnEfRGGtw50A6bEEIIIcTBaszV0CilTgEeBKKAJ3Rdv7u/cw+kGppIIs0/gcg7NEMVaXelqqqKbdu2MWfOHCZMmEAgEMDxkxfBsx5zXBSJ6VnEqQ7iTB10bv4Ac6CBCYctYnxsgARTG6r6c+K8FdgdWViT7IwztRLbXENM3QYsNguJU6YyztRGvGolvrUW2ziIjx14nQEdvC3g7TTTHDuFhi4L9e3x1GzcwO6uRNozl7O7y4rWacVTWsautjhaU5dyXKzOtRfkM3fuXJRSYcGCx+OhvLyctrY2mpqaWLZsGYmJiXg8nuDOxuTJkwedXzOUuTv91TJFClT2dVZMpJbSoe+fm5u7V/9WhBBCCCEOVAftHBqlVBSwBTgJqAY+B76t6/qGSOcfCAHNETe+Tky7i66aL4mzWBiffhgxqpMoumgveYdo5Sdx7jJiTV1Eqy78lZ+jfLVYMvIw25KIoRNdq6KrZj0JE6YwLm0WMaqLqM5mOsoKiI2Jxjp7ITHKT5zyg2cdsV3NWNMyMMdFEaf8RLfVE9vlIz4hrudYB3Gmzr26n7ZALM0BM83tCp/WSIuegN+eSUsgjuaueOo2FtHYEUtg1tfx6hZ8XePYWbEVraGFjpQjaB2fgbdrHG2+dp75zhwcDgfR0dED1vMYHcKKi4vJy8sLm9kC4YHh+vXraWtrY86cOWEzdzRNY8uWLbS0tAR3XfoLGgcLQIz3i4mJwev14nQ6+7SdHq5E8UoYAAAPhElEQVS0r8GC3vXr1xMTE8OcOXPC5ucIIYQQQoxlB3NTgEVAma7r5QBKqeeA04GIAc2BQFN+Ni+8CRZGeDKYSlXw1bHpxhcbvzqWCuQC1BLQ1+HXo+jUo+hIbMffpQjEF9IRiKFdj6XJ6qe1RaezS9HQaaVdj6FJi8K3w0/A5kCfMJt2PYaWlnYat3yBP8ZGVNaxtOuxtAdi0DZ+RnM76Jkn0B5jpyVgpmHHTryNXrrssyh78GKSY2PZtWkT69etIyUlhblz5+JyuViwlx273G73gGl5xiwdYzCoy+WisLAwGEjY7XasVitr1qwhISGBhQsXUlNT02fmjt/vD9awWK3WPql2hoHqj/a0lmlfREpVMwJ0I80sPj6e1tbWYOtr2aERQgghxKFmrAU0qcC2kMfVwOLQE5RSVwJXQuQPpvubXY/hWteleLeug/ETiZlxBJ16FH49mob1H9Gpm4jNPpEuFYtfj6KpupR2bwNRKTnolin49WjavA207qohMG4yj34rg6VLj8JisVDmchEXF8ecOXOC79fS0kJ0dDTV1dVUVVUxqydNyWjtnJ6ejtvtDrZ4NnYULBZLTwDx+wE/tMfGxqJpGnV1dSxevJiamhqAfhsMDMVgAYTb7SY/Pz84GDQlJSWYRma326msrKSoqAiLxYLZbMZms/VpUBB6P0op3nvvvWCqlhEIDGV3ZSRqmfbkvYxGAMY9GYGNx+ORts9CCCGEOCSNtZSzc4Cv6br+vZ7HFwOLdF2/NtL5B0LK2XCJVEcBkdOjjPkoOTk5YcFFcXExa9euZdasWXR1dQXbI/dukzxQytVADQO2bNkSnLUTFRWFxWIBCEvV2pN0rMFaS4emomVlZTFr1qzgceOc/oZcJiYmUlVVRW5ubvB7UFJSEjbLJ/S+9zY43tf6mf19XSGEEEKIA8GepJyZBj/lgFINTAt5nAZ4+jl3THO73WiaBoR33HK5XMHj8FVHMuNYZWUlBQUF5ObmkpGREdw5qaysxOv1kp+fz9atW4mKiqKgoACr1Up1dXWfls+huyPQvTuQnp7e7w6Fx+PB6/XS1dVFWVkZgUCAwsJCCgsLsVgswUDCCHKGYrDdkNTUVMrLy8nLy2Px4sXBXZ3Qc9LT04P3E3rNuXPnsmTJEqqrq7FarcFgprq6Ouz7vqdr7q33z2c4rgmE3ZPBuF8hhBBCiEPJWNuhiaa7KcAJQA3dTQEu0HXdFen80d6h2ZffohsffHvvooTuphg7JvBVkfgXX3zBtGnTWLRoUfBavSfaGzs1aWlpmEwmHA5H2MBLIxVt1apVTJ8+ncTExOB6+2txHLorUlhYSGtrK0opzGZzsKXxcKZDRSqW35tr9975Gsp19/TnOlxrFUIIIYQ4VBy0OzS6rncC1wDv0F01/0J/wcyBYF9+O2/sNJSUlAR3UXJycnA4HGHBjDE5PjU1lU2bNhETE0NWVlbYtUwmUzCYMQZZzpo1i/LycpKTk4N1MLm5uRQUFFBcXIzL5WL69Ol8+eWXBAKBAdcfupNit9vJzMwkJiaGSZMmkZmZSWVlJampqSNSLB+6CxW6czXU64QOuzSaCBizefpb857+XIdyTSGEEEIIsXfG1A7NnhrtHRrY99/O91c7E3r9wsJC2tra0HWd+Pj4sDbCkdYy0K7Ptm3bWLt2LVlZWQQCgeBzQ11/6P2WlZUBDPsOzXDUj/RXnzPU+92Tn6vs0AghhBBC7JmDdodmLNqX385H2kGIpK2tjaioKObOnYvT6ex3t8LYSTGZTGG7PcZjow4mKyuL0tJSrFYrDodjyOsPDRJsNlvwuM1m2+tdlEiGo34kUn2O0RhgKDs/Q/25DtdukhBCCCGEiEwCmhE21KAk0uuG8kHY4/FgNpvJzs4Oa6FsdPcKZQQCoQFBaCCgaRppaWkEAgHy8/MpLi5m/fr1Q15/aJDg8/lwOp04nc5ggX5/6xoNkYKi0NQ8YMA1D/XnOlBjAyGEEEIIse8k5WwEDTaEcSBDSaval+tHer9AIBDWvnn9+vV8+umnnHTSScFGATLrZHi/70IIIf6/vTuNkawq4zD+/JkRdVDsBnFh0UEdl0GjEERcYlCIgBpxI2JQCWKMiQoajQH9oH4g0cSIG5oQFpcYkYALUaMiGvWLLIoRGkRGRmUclDEgjktA4PVDnWLKnp7paULVreX5JZ2ue+6p7nOTN6fuW/cskrS9lQw5M6EZomHvFfJg//3Ff6+f5Oy22247XeVs1rgHjCRJ0nCZ0DRdJzS7yhtkSZIkaRsXBZgww9p8cdwMbhbaN7h5pyRJkrRSJjRjoD9RfGFhgY0bN07tfIxRJ24mUJIkSdPPhGZMzMLmi6NO3GblyZckSdIsW911A9SzeBngubm5qU1q+onb2rVrh3qNgwmUm1pKkiRNJ5/QdKg/JGrxhpTz8/NTu/niA92X54GahSdfkiRJs8yEpkP9IVGbN2/moIMOAmBhYYF99913Kjdf3NXNQh/s/znKBEqSJEmj5ZCzDg0OiVqzZs12Q6Km7WnC1q1bt7u+fuI2jGtdvOHl3Nzc1C64IEmSNKtMaDo2yjklXVtqT535+fmhXfOoEyhJkiSNnglNx2ZlMYAujDqBkiRJ0ug5h6ZDXcwp0fbcr0aSJGlymdCM2ODNc39IVL98cEiURsf9aiRJkiaXCc2IDd4894dEDd48z8/PLzlUSsMz6g0/JUmS9OBxDs2IudnjeJqlxRkkSZKmiU9oOuBmj+PH/WokSZImkwlNB7x5Hi8uziBJkjS5TGhGzJvn8bOz/WokSZI03pxDM2Ju9jh+3K9GkiRpcpnQjJg3z5IkSdKDxyFnkiRJkiaWCY0kSZKkidVJQpPk+CQLSe5Lcuiic2ck2ZDkxiRHD5Qf08o2JDl99K2WJEmSNG66ekJzHfBa4GeDhUnWAycABwHHAJ9PsirJKuBs4FhgPfDGVleSJEnSDOtkUYCqugEgyeJTxwEXVtVdwMYkG4DD2rkNVXVze9+Fre71o2mxJEmSpHE0bnNo9gNuGTje1Mp2VL6dJG9PcnWSq7ds2TK0hkqSJEnq3tCe0CT5EfC4JU59qKq+vaO3LVFWLJ141VJ/oKrOAc5pbdiS5I+70NxReDTwt64bobFmjGg5xoiWY4xoOcaIljMuMfLEXa04tISmqo56AG/bBBwwcLw/sLm93lH5ztqwzwNow1AkubqqDl2+pmaVMaLlGCNajjGi5RgjWs4kxsi4DTm7FDghyUOTHAisA64ErgLWJTkwye70Fg64tMN2SpIkSRoDnSwKkOQ1wGeBfYDvJvl1VR1dVQtJLqI32f8e4J1VdW97z7uAHwCrgPOraqGLtkuSJEkaH12tcvZN4Js7OHcmcOYS5d8Dvjfkpg3TOV03QGPPGNFyjBEtxxjRcowRLWfiYiRVS86tlyRJkqSxN25zaCRJkiRpl5nQSJIkSZpYJjRDluSYJDcm2ZDk9K7bo24kOSDJT5LckGQhyWmtfK8klyW5qf2eb+VJ8pkWN79Jcki3V6BRSbIqyTVJvtOOD0xyRYuRr7eVHmmrQX69xcgVSdZ22W6NRpK5JBcn+W3rT55vP6JBSd7bPmeuS/K1JA+zH1GS85PcluS6gbIV9x1JTmr1b0pyUhfXshQTmiFKsgo4GzgWWA+8Mcn6bluljtwDvK+qngEcDryzxcLpwOVVtQ64vB1DL2bWtZ+3A18YfZPVkdOAGwaOPw6c1WLkDuCUVn4KcEdVPQU4q9XT9Ps08P2qejrwbHqxYj8iAJLsB5wKHFpVz6S3MuwJ2I8Ivggcs6hsRX1Hkr2ADwPPAw4DPtxPgrpmQjNchwEbqurmqrobuBA4ruM2qQNVdWtV/aq93krvJmQ/evHwpVbtS8Cr2+vjgC9Xzy+AuSSPH3GzNWJJ9gdeAZzbjgO8FLi4VVkcI/3YuRg4stXXlEqyJ/Bi4DyAqrq7qv6O/Yj+32rg4UlWA2uAW7EfmXlV9TPg9kXFK+07jgYuq6rbq+oO4DK2T5I6YUIzXPsBtwwcb2plmmHtkf7BwBXAY6vqVuglPcBjWjVjZzZ9CvgAcF873hv4e1Xd044H4+D+GGnn72z1Nb2eBGwBLmjDEs9Nsgf2I2qq6s/AJ4A/0Utk7gR+if2IlrbSvmNs+xQTmuFa6lsO18meYUkeAVwCvKeq/rGzqkuUGTtTLMkrgduq6peDxUtUrV04p+m0GjgE+EJVHQz8i21DRJZijMyYNvznOOBAYF9gD3rDhxazH9HO7CguxjZeTGiGaxNwwMDx/sDmjtqijiV5CL1k5qtV9Y1W/Nf+EJD2+7ZWbuzMnhcCr0ryB3rDU19K74nNXBs6Av8fB/fHSDv/KLYfTqDpsgnYVFVXtOOL6SU49iPqOwrYWFVbquq/wDeAF2A/oqWttO8Y2z7FhGa4rgLWtdVFdqc3Me/SjtukDrQxyecBN1TVJwdOXQr0Vwk5Cfj2QPlb2kojhwN39h8LazpV1RlVtX9VraXXV/y4qk4EfgK8vlVbHCP92Hl9qz8W35RpOKrqL8AtSZ7Wio4Ersd+RNv8CTg8yZr2udOPEfsRLWWlfccPgJclmW9PA1/WyjoX43a4kryc3resq4Dzq+rMjpukDiR5EfBz4Fq2zY/4IL15NBcBT6D3QXR8Vd3ePog+R2+y3b+Bk6vq6pE3XJ1IcgTw/qp6ZZIn0XtisxdwDfCmqrorycOAr9Cbj3U7cEJV3dxVmzUaSZ5Db9GI3YGbgZPpfTlpPyIAknwUeAO91TWvAd5Gb56D/cgMS/I14Ajg0cBf6a1W9i1W2HckeSu9+xeAM6vqglFex46Y0EiSJEmaWA45kyRJkjSxTGgkSZIkTSwTGkmSJEkTy4RGkiRJ0sQyoZEkSZI0sVYvX0WSpOFLsjdweTt8HHAvsKUd/7uqXtBJwyRJY81lmyVJYyfJR4B/VtUnum6LJGm8OeRMkjT2kvyz/T4iyU+TXJTkd0k+luTEJFcmuTbJk1u9fZJckuSq9vPCbq9AkjQsJjSSpEnzbOA04FnAm4GnVtVhwLnAu1udTwNnVdVzgde1c5KkKeQcGknSpLmqqm4FSPJ74Iet/FrgJe31UcD6JP337JnkkVW1daQtlSQNnQmNJGnS3DXw+r6B4/vY9rm2G/D8qvrPKBsmSRo9h5xJkqbRD4F39Q+SPKfDtkiShsiERpI0jU4FDk3ymyTXA+/oukGSpOFw2WZJkiRJE8snNJIkSZImlgmNJEmSpIllQiNJkiRpYpnQSJIkSZpYJjSSJEmSJpYJjSRJkqSJZUIjSZIkaWL9D6cDuBMfuNuuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x324 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = pints.plot.series(chain, problem)\n",
    "\n",
    "# Customise the plot, and add the original, noise-free data\n",
    "fig.set_size_inches(12,4.5)\n",
    "plt.plot(times, org_values, c='orange', label='Noise-free data')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}