{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 3\n", "\n", "\n", "_______\n", "\n", "## Opening the black box of MCMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The previous two chapters hid the inner-mechanics of PyMC, and more generally Markov Chain Monte Carlo (MCMC), from the reader. The reason for including this chapter is three-fold. The first is that any book on Bayesian inference must discuss MCMC. I cannot fight this. Blame the statisticians. Secondly, knowing the process of MCMC gives you insight into whether your algorithm has converged. (Converged to what? We will get to that) Thirdly, we'll understand *why* we are returned thousands of samples from the posterior as a solution, which at first thought can be odd. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Bayesian landscape\n", "\n", "When we setup a Bayesian inference problem with $N$ unknowns, we are implicitly creating an $N$ dimensional space for the prior distributions to exist in. Associated with the space is an additional dimension, which we can describe as the *surface*, or *curve*, that sits on top of the space, that reflects the *prior probability* of a particular point. The surface on the space is defined by our prior distributions. For example, if we have two unknowns $p_1$ and $p_2$, and priors for both are $\\text{Uniform}(0,5)$, the space created is a square of length 5 and the surface is a flat plane that sits on top of the square (representing that every point is equally likely). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1lixZwoUXXsiTTz7JU089FVEsjhkzhnfffZeuXbsGzpXfS2232/n6669p06YN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\nR45k06ZNT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import scipy.stats as stats\n", "from IPython.core.pylabtools import figsize\n", "import numpy as np\n", "figsize(12.5, 4)\n", "\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "jet = plt.cm.jet\n", "fig = plt.figure()\n", "x = y = np.linspace(0, 5, 100)\n", "X, Y = np.meshgrid(x, y)\n", "\n", "plt.subplot(121)\n", "uni_x = stats.uniform.pdf(x, loc=0, scale=5)\n", "uni_y = stats.uniform.pdf(y, loc=0, scale=5)\n", "M = np.dot(uni_y[:, None], uni_x[None, :])\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=jet, vmax=1, vmin=-.15, extent=(0, 5, 0, 5))\n", "\n", "plt.xlim(0, 5)\n", "plt.ylim(0, 5)\n", "plt.title(\"Landscape formed by Uniform priors.\")\n", "\n", "ax = fig.add_subplot(122, projection='3d')\n", "ax.plot_surface(X, Y, M, cmap=plt.cm.jet, vmax=1, vmin=-.15)\n", "ax.view_init(azim=390)\n", "plt.title(\"Uniform prior landscape; alternate view\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, if the two priors are $\\text{Exp}(3)$ and $\\text{Exp}(10)$, then the space is all positive numbers on the 2-D plane, and the surface induced by the priors looks like a water fall that starts at the point (0,0) and flows over the positive numbers. \n", "\n", "The plots below visualize this. The more dark red the color, the more prior probability is assigned to that location. Conversely, areas with darker blue represent that our priors assign very low probability to that location. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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75rFq0DnQE6gxfmN+oS/b2woM7682fjWaRuLII49k5MiRXHHFFWywwQZEIhEO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\nJ0/2PaZQKMT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 5)\n", "fig = plt.figure()\n", "plt.subplot(121)\n", "\n", "exp_x = stats.expon.pdf(x, scale=3)\n", "exp_y = stats.expon.pdf(x, scale=10)\n", "M = np.dot(exp_y[:, None], exp_x[None, :])\n", "CS = plt.contour(X, Y, M)\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=jet, extent=(0, 5, 0, 5))\n", "#plt.xlabel(\"prior on $p_1$\")\n", "#plt.ylabel(\"prior on $p_2$\")\n", "plt.title(\"$Exp(3), Exp(10)$ prior landscape\")\n", "\n", "ax = fig.add_subplot(122, projection='3d')\n", "ax.plot_surface(X, Y, M, cmap=jet)\n", "ax.view_init(azim=390)\n", "plt.title(\"$Exp(3), Exp(10)$ prior landscape; \\nalternate view\");\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are simple examples in 2D space, where our brains can understand surfaces well. In practice, spaces and surfaces generated by our priors can be much higher dimensional. \n", "\n", "If these surfaces describe our *prior distributions* on the unknowns, what happens to our space after we incorporate our observed data $X$? The data $X$ does not change the space, but it changes the surface of the space by *pulling and stretching the fabric of the prior surface* to reflect where the true parameters likely live. More data means more pulling and stretching, and our original shape becomes mangled or insignificant compared to the newly formed shape. Less data, and our original shape is more present. Regardless, the resulting surface describes the *posterior distribution*. \n", "\n", "Again I must stress that it is, unfortunately, impossible to visualize this in large dimensions. For two dimensions, the data essentially *pushes up* the original surface to make *tall mountains*. The tendency of the observed data to *push up* the posterior probability in certain areas is checked by the prior probability distribution, so that lower prior probability means more resistance. Thus in the double-exponential prior case above, a mountain (or multiple mountains) that might erupt near the (0,0) corner would be much higher than mountains that erupt closer to (5,5), since there is more resistance (low prior probability) near (5,5). The peak reflects the posterior probability of where the true parameters are likely to be found. Importantly, if the prior has assigned a probability of 0, then no posterior probability will be assigned there. \n", "\n", "Suppose the priors mentioned above represent different parameters $\\lambda$ of two Poisson distributions. We observe a few data points and visualize the new landscape: " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "observed (2-dimensional,sample size = 1): [[3 4]]\n" ] } ], "source": [ "# create the observed data\n", "\n", "# sample size of data we observe, trying varying this (keep it less than 100 ;)\n", "N = 1\n", "\n", "# the true parameters, but of course we do not see these values...\n", "lambda_1_true = 1\n", "lambda_2_true = 3\n", "\n", "#...we see the data generated, dependent on the above two values.\n", "data = np.concatenate([\n", " stats.poisson.rvs(lambda_1_true, size=(N, 1)),\n", " stats.poisson.rvs(lambda_2_true, size=(N, 1))\n", "], axis=1)\n", "print(\"observed (2-dimensional,sample size = %d):\" % N, data)\n", "\n", "# plotting details.\n", "x = y = np.linspace(.01, 5, 100)\n", "likelihood_x = np.array([stats.poisson.pmf(data[:, 0], _x)\n", " for _x in x]).prod(axis=1)\n", "likelihood_y = np.array([stats.poisson.pmf(data[:, 1], _y)\n", " for _y in y]).prod(axis=1)\n", "L = np.dot(likelihood_x[:, None], likelihood_y[None, :])\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 5)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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f0A0Ht/PnGrinrCA+Zv5LI3ubLvVHA/dk2TULuUxeyY5JJ3KoPA6b3GIWCuAi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/Vac668bwK/EeFa3of9B+6nPVO+ll5a5Lo2OMeNWAP0R8AhqrPmR+vyvdXVewE7y/mrwI97+7e5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 12)\n", "# matplotlib heavy lifting below, beware!\n", "plt.subplot(221)\n", "uni_x = stats.uniform.pdf(x, loc=0, scale=5)\n", "uni_y = stats.uniform.pdf(x, loc=0, scale=5)\n", "M = np.dot(uni_y[:, None], uni_x[None, :])\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=jet, vmax=1, vmin=-.15, extent=(0, 5, 0, 5))\n", "plt.scatter(lambda_2_true, lambda_1_true, c=\"k\", s=50, edgecolor=\"none\")\n", "plt.xlim(0, 5)\n", "plt.ylim(0, 5)\n", "plt.title(\"Landscape formed by Uniform priors on $p_1, p_2$.\")\n", "\n", "plt.subplot(223)\n", "plt.contour(x, y, M * L)\n", "im = plt.imshow(M * L, interpolation='none', origin='lower',\n", " cmap=jet, extent=(0, 5, 0, 5))\n", "plt.title(\"Landscape warped by %d data observation;\\n Uniform priors on $p_1, p_2$.\" % N)\n", "plt.scatter(lambda_2_true, lambda_1_true, c=\"k\", s=50, edgecolor=\"none\")\n", "plt.xlim(0, 5)\n", "plt.ylim(0, 5)\n", "\n", "plt.subplot(222)\n", "exp_x = stats.expon.pdf(x, loc=0, scale=3)\n", "exp_y = stats.expon.pdf(x, loc=0, scale=10)\n", "M = np.dot(exp_y[:, None], exp_x[None, :])\n", "\n", "plt.contour(x, y, M)\n", "im = plt.imshow(M, interpolation='none', origin='lower',\n", " cmap=jet, extent=(0, 5, 0, 5))\n", "plt.scatter(lambda_2_true, lambda_1_true, c=\"k\", s=50, edgecolor=\"none\")\n", "plt.xlim(0, 5)\n", "plt.ylim(0, 5)\n", "plt.title(\"Landscape formed by Exponential priors on $p_1, p_2$.\")\n", "\n", "plt.subplot(224)\n", "# This is the likelihood times prior, that results in the posterior.\n", "plt.contour(x, y, M * L)\n", "im = plt.imshow(M * L, interpolation='none', origin='lower',\n", " cmap=jet, extent=(0, 5, 0, 5))\n", "\n", "plt.scatter(lambda_2_true, lambda_1_true, c=\"k\", s=50, edgecolor=\"none\")\n", "plt.title(\"Landscape warped by %d data observation;\\n Exponential priors on \\\n", "$p_1, p_2$.\" % N)\n", "plt.xlim(0, 5)\n", "plt.ylim(0, 5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot on the left is the deformed landscape with the $\\text{Uniform}(0,5)$ priors, and the plot on the right is the deformed landscape with the exponential priors. Notice that the posterior landscapes look different from one another, though the data observed is identical in both cases. The reason is as follows. Notice the exponential-prior landscape, bottom right figure, puts very little *posterior* weight on values in the upper right corner of the figure: this is because *the prior does not put much weight there*. On the other hand, the uniform-prior landscape is happy to put posterior weight in the upper-right corner, as the prior puts more weight there. \n", "\n", "Notice also the highest-point, corresponding to the darkest red, is biased towards (0,0) in the exponential case, which is the result from the exponential prior putting more prior weight in the (0,0) corner.\n", "\n", "The black dot represents the true parameters. Even with 1 sample point, the mountains attempts to contain the true parameter. Of course, inference with a sample size of 1 is incredibly naive, and choosing such a small sample size was only illustrative. \n", "\n", "It's a great exercise to try changing the sample size to other values (try 2,5,10,100?...) and observing how our \"mountain\" posterior changes. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exploring the landscape using the MCMC\n", "\n", "We should explore the deformed posterior space generated by our prior surface and observed data to find the posterior mountain. However, we cannot naively search the space: any computer scientist will tell you that traversing $N$-dimensional space is exponentially difficult in $N$: the size of the space quickly blows-up as we increase $N$ (see [the curse of dimensionality](http://en.wikipedia.org/wiki/Curse_of_dimensionality)). What hope do we have to find these hidden mountains? The idea behind MCMC is to perform an intelligent search of the space. To say \"search\" implies we are looking for a particular point, which is perhaps not an accurate as we are really looking for a broad mountain. \n", "\n", "Recall that MCMC returns *samples* from the posterior distribution, not the distribution itself. Stretching our mountainous analogy to its limit, MCMC performs a task similar to repeatedly asking \"How likely is this pebble I found to be from the mountain I am searching for?\", and completes its task by returning thousands of accepted pebbles in hopes of reconstructing the original mountain. In MCMC and PyMC lingo, the returned sequence of \"pebbles\" are the samples, cumulatively called the *traces*. \n", "\n", "When I say MCMC intelligently searches, I really am saying MCMC will *hopefully* converge towards the areas of high posterior probability. MCMC does this by exploring nearby positions and moving into areas with higher probability. Again, perhaps \"converge\" is not an accurate term to describe MCMC's progression. Converging usually implies moving towards a point in space, but MCMC moves towards a *broader area* in the space and randomly walks in that area, picking up samples from that area.\n", "\n", "#### Why Thousands of Samples?\n", "\n", "At first, returning thousands of samples to the user might sound like being an inefficient way to describe the posterior distributions. I would argue that this is extremely efficient. Consider the alternative possibilities:\n", "\n", "1. Returning a mathematical formula for the \"mountain ranges\" would involve describing a N-dimensional surface with arbitrary peaks and valleys.\n", "2. Returning the \"peak\" of the landscape, while mathematically possible and a sensible thing to do as the highest point corresponds to most probable estimate of the unknowns, ignores the shape of the landscape, which we have previously argued is very important in determining posterior confidence in unknowns. \n", "\n", "Besides computational reasons, likely the strongest reason for returning samples is that we can easily use *The Law of Large Numbers* to solve otherwise intractable problems. I postpone this discussion for the next chapter. With the thousands of samples, we can reconstruct the posterior surface by organizing them in a histogram. \n", "\n", "\n", "### Algorithms to perform MCMC\n", "\n", "There is a large family of algorithms that perform MCMC. Most of these algorithms can be expressed at a high level as follows: (Mathematical details can be found in the appendix.)\n", "\n", "1. Start at current position.\n", "2. Propose moving to a new position (investigate a pebble near you).\n", "3. Accept/Reject the new position based on the position's adherence to the data and prior distributions (ask if the pebble likely came from the mountain).\n", "4. 1. If you accept: Move to the new position. Return to Step 1.\n", " 2. Else: Do not move to new position. Return to Step 1. \n", "5. After a large number of iterations, return all accepted positions.\n", "\n", "This way we move in the general direction towards the regions where the posterior distributions exist, and collect samples sparingly on the journey. Once we reach the posterior distribution, we can easily collect samples as they likely all belong to the posterior distribution. \n", "\n", "If the current position of the MCMC algorithm is in an area of extremely low probability, which is often the case when the algorithm begins (typically at a random location in the space), the algorithm will move in positions *that are likely not from the posterior* but better than everything else nearby. Thus the first moves of the algorithm are not reflective of the posterior.\n", "\n", "In the above algorithm's pseudocode, notice that only the current position matters (new positions are investigated only near the current position). We can describe this property as *memorylessness*, i.e. the algorithm does not care *how* it arrived at its current position, only that it is there. \n", "\n", "### Other approximation solutions to the posterior\n", "Besides MCMC, there are other procedures available for determining the posterior distributions. A Laplace approximation is an approximation of the posterior using simple functions. A more advanced method is [Variational Bayes](http://en.wikipedia.org/wiki/Variational_Bayesian_methods). All three methods, Laplace Approximations, Variational Bayes, and classical MCMC have their pros and cons. We will only focus on MCMC in this book. That being said, my friend Imri Sofar likes to classify MCMC algorithms as either \"they suck\", or \"they really suck\". He classifies the particular flavour of MCMC used by PyMC as just *sucks* ;)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Unsupervised Clustering using a Mixture Model\n", "\n", "\n", "Suppose we are given the following dataset:\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 115.85679142 152.26153716 178.87449059 162.93500815 107.02820697\n", " 105.19141146 118.38288501 125.3769803 102.88054011 206.71326136] ...\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 4)\n", "data = np.loadtxt(\"data/mixture_data.csv\", delimiter=\",\")\n", "\n", "plt.hist(data, bins=20, color=\"k\", histtype=\"stepfilled\", alpha=0.8)\n", "plt.title(\"Histogram of the dataset\")\n", "plt.ylim([0, None])\n", "print(data[:10], \"...\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What does the data suggest? It appears the data has a bimodal form, that is, it appears to have two peaks, one near 120 and the other near 200. Perhaps there are *two clusters* within this dataset. \n", "\n", "This dataset is a good example of the data-generation modeling technique from last chapter. We can propose *how* the data might have been created. I suggest the following data generation algorithm: \n", "\n", "1. For each data point, choose cluster 1 with probability $p$, else choose cluster 2. \n", "2. Draw a random variate from a Normal distribution with parameters $\\mu_i$ and $\\sigma_i$ where $i$ was chosen in step 1.\n", "3. Repeat.\n", "\n", "This algorithm would create a similar effect as the observed dataset, so we choose this as our model. Of course, we do not know $p$ or the parameters of the Normal distributions. Hence we must infer, or *learn*, these unknowns.\n", "\n", "Denote the Normal distributions $\\text{Nor}_0$ and $\\text{Nor}_1$ (having variables' index start at 0 is just Pythonic). Both currently have unknown mean and standard deviation, denoted $\\mu_i$ and $\\sigma_i, \\; i =0,1$ respectively. A specific data point can be from either $\\text{Nor}_0$ or $\\text{Nor}_1$, and we assume that the data point is assigned to $\\text{Nor}_0$ with probability $p$.\n", "\n", "\n", "An appropriate way to assign data points to clusters is to use a PyMC Categorical stochastic variable. Its parameter is a $k$-length array of probabilities that must sum to one and its value attribute is a integer between 0 and $k-1$ randomly chosen according to the crafted array of probabilities. (In our case $k=2$) *A priori*, we do not know what the probability of assignment to cluster 1 is, so we create a uniform variable over 0,1 to model this. Call this p. Thus the probability array we enter into the Categorical variable is [p, 1-p]." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "prior assignment, with p = 0.32:\n", "[0 1 1 0 1 1 1 1 0 1] ...\n" ] } ], "source": [ "import pymc as pm\n", "\n", "p = pm.Uniform(\"p\", 0, 1)\n", "\n", "assignment = pm.Categorical(\"assignment\", [p, 1 - p], size=data.shape[0])\n", "print(\"prior assignment, with p = %.2f:\" % p.value)\n", "print(assignment.value[:10], \"...\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the above dataset, I would guess that the standard deviations of the two Normals are different. To maintain ignorance of what the standard deviations might be, we will initially model them as uniform on 0 to 100. Really we are talking about $\\tau$, the *precision* of the Normal distribution, but it is easier to think in terms of standard deviation. Our PyMC code will need to transform our standard deviation into precision by the relation:\n", "\n", "$$\\tau = \\frac{1}{\\sigma^2}$$\n", "\n", "In PyMC, we can do this in one step by writing:\n", "\n", " taus = 1.0/pm.Uniform( \"stds\", 0, 100, size= 2)**2 \n", "\n", "Notice that we specified size=2: we are modeling both $\\tau$s as a single PyMC variable. Note that this does not induce a necessary relationship between the two $\\tau$s, it is simply for succinctness.\n", "\n", "We also need to specify priors on the centers of the clusters. The centers are really the $\\mu$ parameters in this Normal distributions. Their priors can be modeled by a Normal distribution. Looking at the data, I have an idea where the two centers might be — I would guess somewhere around 120 and 190 respectively, though I am not very confident in these eyeballed estimates. Hence I will set $\\mu_0 = 120, \\mu_1 = 190$ and $\\sigma_{0,1} = 10$ (recall we enter the $\\tau$ parameter, so enter $1/\\sigma^2 = 0.01$ in the PyMC variable.)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Random assignments: [0 1 1 0] ...\n", "Assigned center: [ 107.08313959 186.02196393 186.02196393 107.08313959] ...\n", "Assigned precision: [ 0.02216706 0.0013977 0.0013977 0.02216706] ...\n" ] } ], "source": [ "stds = pm.Uniform(\"stds\", 0, 100, size=2)\n", "taus = 1.0 / stds ** 2\n", "centers = pm.Normal(\"centers\", [120, 190], [0.01, 0.01], size=2)\n", "\n", "\"\"\"\n", "The below deterministic functions map an assignment, in this case 0 or 1,\n", "to a set of parameters, located in the (1,2) arrays taus and centers.\n", "\"\"\"\n", "\n", "@pm.deterministic\n", "def center_i(assignment=assignment, centers=centers):\n", " return centers[assignment]\n", "\n", "@pm.deterministic\n", "def tau_i(assignment=assignment, taus=taus):\n", " return taus[assignment]\n", "\n", "print(\"Random assignments: \", assignment.value[:4], \"...\")\n", "print(\"Assigned center: \", center_i.value[:4], \"...\")\n", "print(\"Assigned precision: \", tau_i.value[:4], \"...\")\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# and to combine it with the observations:\n", "observations = pm.Normal(\"obs\", center_i, tau_i, value=data, observed=True)\n", "\n", "# below we create a model class\n", "model = pm.Model([p, assignment, observations, taus, centers])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PyMC has an MCMC class, MCMC in the main namespace of PyMC, that implements the MCMC exploring algorithm. We initialize it by passing in a Model instance:\n", "\n", " mcmc = pm.MCMC( model )\n", "\n", "The method for asking the MCMC to explore the space is sample( iterations ), where iterations is the number of steps you wish the algorithm to perform. We try 50000 steps below:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 50000 of 50000 complete in 23.6 sec" ] } ], "source": [ "mcmc = pm.MCMC(model)\n", "mcmc.sample(50000)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below I plot the paths, or \"traces\", the unknown parameters (centers, precisions, and $p$) have taken thus far. The traces can be retrieved using the trace method in the MCMC object created, which accepts the assigned PyMC variable name. For example, mcmc.trace(\"centers\") will retrieve a Trace object that can be indexed (using [:] or .gettrace() to retrieve all traces, or fancy-indexing like [1000:])." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KmToykexSA326RaL38OT06TP06tVTzl8CrUYQGRnJtGnTeO211wB51uJwvmtF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\ncD0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JCQxlkqqKql7TNP3xak98cazyTwcfdlWuuKvCZA4AmM05L2CMaf6609i2VWDFGMAA\na1Rc9KytGP54rZfe13RsrrzSvfloe7ypGkipeysHRGUVY3iPVrC2YnjetaVJoSZb3uqH2d730aSR\nNe6mFGKyh5POwTD0EerGL/VshX/vplcpB7QQR7i6EmnqAMDOxkrno8T14/qgk2MjWKsOVjPGumtL\ne8SY2BlG6uQ0d7z8TwB6t20i7leouHPV16JbS3s0trPWSsFoikY2VlphVO8OcEJUVjF8Yw2HPHg+\n1h57ArXTka4f10dZEWFAH8lAGH+81hOzvB/gSefmuB6Xp/W6qhJujkzNQFAbpg3qiH1BqfDo1Bxv\nP9YOttZWejtBd2tpL6bRm+zRAcdCM8yKu5f630vdcPBuOoZ1b4GJu5X7EyqWjWys0KaJssPh/Je6\nIza7GG1V0472NvhheFe1AbnaNrHF2L5t0b6pLfLL5OjeygG//RcDJx3ZD5rb2+D0dHecVXXUHd5D\n/WmTrbUVerdtgt6mZ8Y16O3H2sO1tYOYkk/4jsRkFeNJZ0f0U2WoEt6Pcwt7tUwcc55Rz160YGR3\n/HA6StzOqtd7w86aoWtLB+SWyOBob4MxfdvicEi6mK7X61IsZjzeES/0aIlSGcfU/fcwwb09pg5S\nPmE4EaYcoXrPO274+0Yi7qUV4k+Na29jPSNom0r4/ADg91E9EJJagJ/ORKGxrTUGdGyGQ3fT8dtI\nV8w7HYn5L3Wvlvzxm//vEbRtYic+7bWxYrCxYhjTt42YMtYQaSOENQO+e6ErFpyPwZo3+uB8RJYY\n/qNvDBNzCTerADCwk7KBRUjdJ/3uGbP4lR5YfCFGLUUrMW6ijor7yWnumLw3BNMe74jApAI0sbNS\nyzKjaUDHpvBPUiai6O/UVPy+Nra1EjPSENNU6VvFGLOBstK+nXPurZqdyhhrr1ruBEDnVWD58uX4\n+OOPsWjRIixatAhr166Fj4+PuNzHx4emq3H6tebJ+KxrjpgH28fHB3mRAeKjxrzIACAhGO+pekTn\nRQYgLzIA9jZWWD/+EbjJYpAXGYCBnZrjpxe74WmbeFXcOdTW15wW+j5f872KjAd+AJSdbfStr286\n5coBzHLJxe+jXHUub5UZJk6/2LMVpjpl4v2OWWJ4jKHz062VA25e88U136s6lze2tTb5eBeMVIaV\njHVMge9VHzzT1RHWrGJ7jVWpptLD/GGXHIL14x/Bn6/1wnc98/Fdr4qWtpGNk4zuLyfcX2361WbJ\nmOzRAY91aIq8yAB81CUbf73WCyemueOnPoUYoIgBALzRvy065j1Q295gFotJ7TLQrZUD+jk1RXZ4\ngNr5SL/vj5/6FOKXEa7YOaEfXm2WLL6+b7smZn+eNTmdFxmAwSxW5/KpgzqYtL3y2CC0zr6PnRP6\n44tnnREdfBsPAm4CAJaO7imuv/ed/tg4/hFMap+JGR2zxHCAmZ2yDW6/MCoQeZEBeM+jA46995i4\nfNXrvcEYg1PuA4T53xTX/6F3Id5pmwGvV5ShXUJ5cmnpgMZ21vDx8cHVq1fFSq6wvGkjG3zyVGc4\n5YWjZ0kUnu3WAsvH9EKI3w2d3wfGGEb0ao0fehfUyvVpUOfmODNjgNry6YM7ITsiwOztlcUG46Qq\n9tfHxwdpYX7o2lIZWx58+zp8fHzg3MIenz3dRXz9xjcfQbvc+wjzv4no4FvY9OYjeMfdSVz+Sp82\n2POOG3x8fPBIebRYaa/J63W/9k3xUeccTGmfiSecHfHv5EdRGhuEye0yMMTFEc0bWaMwSlle3lD1\nKzDn+zH/pe6IDr6Nm9d9xeWfueTgM5dczBjcyaTttc15gNFNlR1rT0xzB+LvYmKbdNjbWGF0nzbo\nWhShtn5Vz0+Y/029y9ePf0Tn8bbKDMPnz3QBAPSXRSMvMgAuLeyx8OUemNw+o1LXF+k1pq5c7/RN\nj3VM0VreVZVGUZi2tWIY3qOlwe1Nf7wjrvtexU99CrF+XB+sHNsLP/YuwDXfq9g5oT+G92iFwVZx\n6FOmDI8c27cNBvFYDEKseBOdHxmAIdbxYqpg4fu6amxvHJz0KFwKwsX9zXqqMx5VfV41eX7a5dzH\nR0+ql/enXRyrtP28yAAkntmKqL2LEbV3MQICtNOpVodKZ5UBAMbYNgAZnPMvJPMWA8jinC9WdU5t\nyTnX6py6bNkyPm3atErvm1TdmC2B+HxoFyy8oMzpfWbGAMgVHLsDU7HtTjKaNbLGwUnKAYCEQRSk\nLdYKzlEu5yiXKzBue7DO7DXCMNiHJrnBNzYXGYXlmDjASW9r/xv924phPUDFo9e8yABcXzgVgDJv\n7nSNzCIrxvTCZ0ceYOEoVwzs1KzSQ9jrklNcjsIy5WANMw+FopGNldpotS/1bIWxfdviRnwuJg3s\ngEN30zCyV2s00dES98a2IBSWyfV2IhLOy4F33fDmjmDsntAfTRpZY8yWQDzRpTm+eNYZRWVyLLoY\nCwdbKwSoWjCkA3soOEeZnGsNhJRdXI6QlEIxvjgqsxg7/FMw55kuaG5v/sM34Vh1hSUYY04rmbny\nIgPw4fiRsLe1ghWYWhq8Y+89hricEtzPKDLYKfDAu246z4kwaEdcdgk6t2gkDqiky6ZbSdireqox\n74WuSMhVDur0zYkIDOjYFJ7uTujTtjEcbK1RUCrTOTjOqE3+UPCa63R2Iy4X3Vo51Fr+4brIlMHd\n6pLIzCKUyBTi9Ti9sAzH7mVgd2Aq1r7RG4svxopPCPu1b6L2NO/UdHeDZRao+F6/9kgbcXTvk9Pc\ncS0uF84t7OHcQln5E0YKdrDVvs7llsiQml+GXm1rZ8j4hNwSrbSS7h2bYopHB3x+NBwnp7kjtaBM\nfBoNVLzPN93a6U3T+YJrS/wnGUshL1K9I/OEx9prDVpUV2z+v0ew6VYSIjKLkaJKzXx6uruYW75D\n80awtaoY1E4YlM/exgpb3uoLR3sbvPxPAH4b6YrHuzQ3tCsAytj7V/4J0LpWRWcVo6WDDVo42EKu\n4Fh3PVEt6YDA61Is+rRtjDF920LBOUZtMlzpFX7zBdIWfaAi1NHGionjNrzYoyXOqcIyD01yg52N\nFV7dXDH67Ylp7uJYONVh0UBeI1llqpIO8mkAlwEEQxkOwwF8D+AmgH0AugCIhTIdpFbiZ0oHWXcE\npxSgdWNbtYtabokMCs7R0kHZcYpzjqJyhc7KKKC8CD7SrrGYfUTZUt8H7ZvaoaBUrlUJenfPXXg+\n5oRWjW3gHZIB/6R8jOnbBs92a4Gvjkdg69t9MWXvPbzer62YSUS4IMRll2DGwYqLdN92TfDXGP2h\nQ9VNruD4+2YijoZmoFzOTfoxFHiHpCO/VKY2sq7UiI3++Hyos86RXzWPAQAWXYzBpagc/D7KFYM6\nG7+4VqfMwnKcepAJz8fa49uTEQhMLsChSW44FpZhMLd8t5b2eKZbC7M7Mvds46C3D4Sw/K/XeuFw\nSDqGdmsBJ1UMdlByPprYWauNiieQDob0Us9WYshOTWZnyC4uRyNrK5NCLNIKymDFIIYJEKJLmVyB\nrKJyODVrBAXnKJUpkJRXihb2tghOKUDPNo3h1MxOa+RhXRScI6OwHO2a2qG4XA47ayuTXmdpQkVc\n6If1RJfm+N9L3XEzPg9DXLTHF4jNLhY7VOsaaApQdiaefy4aC0Z2R3phORxsrNQGrxN+p6ROT3fH\n+O3BaG5vg99HucKKAZNV60x/vKPOlI+6VCXd8YzHO+It1eieJTIFxqj6hxm6rp2PyMLii7FVuvYl\n5ZWq1SOqQvO9C+PcAID3lEfhYGuNkJQC9G7XBK/8E4B97/RHWkE5mjayRnG5MizwcnQOPDo1w7jt\nyr5Snz/TRewHIGxDuh/pOR/btw3GubWDTM4RnV2MBeeV+3bv2FRsMAOUueHtba20+h10a2mPD7oV\n162Ke1VRxb1h8U/MR9umtmKrx3fPu+B5V9MzsvhE56C/UxO0UN0oFJfLMXZrEE5Mc8faawkY0KmZ\nmMkhKLkAXx0Px953+iOnWIZ2Te303lA0dIZavWpbREYRerRpLI6Eq89XzzpjWPeWSM4vxfsHTR+o\nSsjxLHjetSWG92iJf24lISqrBB8P6YzX+5kXgC1XcOQUy1CuUKC4XIEPDoVRSjVC6qnE3BK0a2qH\nxLxStHSwhaOZTxJzisuh4IDnrrt4f3BHuLS0V+s3AQDzTkXiVoKyn8+hSW64m1qoNuq4ruvH96ci\ncDshH2dmDMCDjCJ8qhrnQF+fhQUju2NwF0fE5ZSgU/NG8L6XLiZ3aN/UTuwrJvRzklY4/3i1J3q3\nbazWEVxYZujaViZXwD8xX2uEUUsRjnnl2F5wsLWGcwt7JOaWwsHWSm3QKlNcj8tFan4ZXu7TGq9u\nDsQvI7rjiS7NwRgDVz2hzimWoX0zO0RnFYsdn4UGx7wSGXb4p+BCZDY+GdIZw1xbYuzWQLzSu7WY\nNSsprxTT998Txys4Oc0dgQH+DaviTqEyDVNoWiHaNrGtlhZCuYKrxeQLj7Nzisux9HIcFox0rfI+\nSM1YeikWtxPy8P0L3fDv3TRcjc0Vh+GW/njklciw9nqCmFXGEM0WqBPT3MWOxCM2+osd2Opb6AOx\nLCovRB/OOdJVTx8AZVl56umnMWpTAFxa2mPDuD5gjEHBOT7+NwxJeWU48t5jWtvxS8xDYHKB2OlZ\nqHdJQzpHbPTH2jd6IzqrBMNcW6olSZArOHJLZGjV2BbRWcVIKyjDE86OKJMrUFQmRwsHW4OV85VX\n4/FYh6Z4tntLrWV1lVzBtcKb6hK5ahRuzbBcr4sxGNW7DR7t0BR+fn51bgAmQrQ8opGHuSr0PZ5t\n4WBLlfY67itJznznFo0wcYATnFvYaw3f3dzeRmwVe8+jA7boGUlS6NR7cpo7sovL0bqxrdoFk1rJ\nCSHVjTGm1f/DijHsf9cNTeysxWuQFWNYMrqn1vVNMLBTczEbjrBdTcI1TFdIn7UVE1uZu7VyQDfV\ngF521lawc1BeG8f0baN3sMZZT3cx+D7rImsrVmcr7YD++sncYV1rfN8UKkMIsahSmUJ8TKkZ1+g9\n5VFkFZXDijF0qMMXcUIIIUSqplrcqyfJKiGEVFIjGyu0b6Zs1RJanZ7t1gK/jXSFg601OjnaU6Wd\nEEIIgQUr7jWV35I0TNIcvqRh2+HZD98MczEpBZkuVFaIOai8EFNRWSF1AcW4E0LqlIc5pzghhBBi\nCMW4E0IIIYQQUo0oxp0QQgghhJCHGMW4k3qBYguJqaisEHNQeSGmorJC6gJqcSeEEEIIIaQeqFKM\nO2NsE4BXAaRyzh9VzWsJYC8AFwAxAN7inOdqvpZi3AkhhBBCSENUV2PcNwMYqTHvWwDnOOe9AfwH\n4Lsq7oMQQgghhJCHXpUq7pxzHwDZGrPHAtiq+nsrgNd1vZZi3Ik5KLaQmIrKCjEHlRdiKiorpC6o\niRj3dpzzVADgnKcAaFcD+yCEEEIIIeShUuU87owxFwBHJTHuWZzzVpLlmZzz1pqv++ijj3hOTg6c\nnZ0BAI6OjnBzc8MzzzwDoOLOlqZpmqZpmqZpmqZpmqZpui5PC3/HxcUBAAYNGoQvv/yy2mPca6Li\nHgpgGOc8lTHmBOAC5/wRzddR51RCCCGEENIQ1dXOqQDAVP8ERwC8p/p7CgBvXS+iGHdiDukdLSGG\nUFkh5qDyQkxFZYXUBVWquDPGdgHwBdCLMRbHGJsKYBGAlxhj9wEMV00TQgghhBBCqqDKoTKVRaEy\nhBBCCCGkIarLoTKEEEIIIYSQGmaxijvFuBNzUGwhMRWVFWIOKi/EVFRWSF1ALe6EEEIIIYTUAxTj\nTgghhBBCSDWiGHdCCCGEEEIeYhTjTuoFii0kpqKyQsxB5YWYisoKqQuoxZ0QQgghhJB6gGLcCSGE\nEEIIqUYU404IIYQQQshDrMYq7oyxUYyxMMbYA8bYN5rLKcadmINiC4mpqKwQc1B5IaaiskLqghqp\nuDPGrACsAjASQD8AExhjfaTrRERE1MSuSQMVHBxs6UMg9QSVFWIOKi/EVFRWiDlqqoG6plrcBwMI\n55zHcs7LAewBMFa6QmFhYQ3tmjREubm5lj4EUk9QWSHmoPJCTEVlhZgjMDCwRrZbUxX3TgDiJdMJ\nqnmEEEIIIYSQSrBY59SUlBRL7ZrUQ3FxcZY+BFJPUFkh5qDyQkxFZYXUBTY1tN1EAM6S6c6qeSJX\nV1fMnj1bnH7sscfg7u5eQ4dD6rtBgwbBz8/P0odB6gEqK8QcVF6IqaisEEMCAgLUwmOaNGlSI/up\nkTzujDFrAPcBDAeQDOAmgAmc89Bq3xkhhBBCCCEPgRppceecyxljnwI4A2U4ziaqtBNCCCGEEFJ5\nFhs5lRBCCCGEEGI6i3RONTY4E2mYGGObGGOpjLEgybyWjLEzjLH7jLHTjDFHybLvGGPhjLFQxtgI\nyfyBjLEgVfn5SzLfjjG2R/Waa4wxaT8LUo8wxjozxv5jjIUwxoIZY5+p5lN5IVoYY40YYzcYY/6q\n8vKzaj6VF6ITY8yKMebHGDuimqayQnRijMUwxgJV15ebqnkWKy+1XnE3ZXAm0mBthvJzl/oWwDnO\neW8A/wH4DgAYY30BvAXgEQAvA1jDGGOq16wFMJ1z3gtAL8aYsM3pALI45z0B/AXAqybfDKlRMgBf\ncM77ARgC4BPVdYLKC9HCOS8F8DznfAAAdwAvM8YGg8oL0W82gHuSaSorRB8FgGGc8wGc88GqeRYr\nL5ZocTc6OBNpmDjnPgCyNWaPBbBV9fdWAK+r/h4DYA/nXMY5jwEQDmAwY8wJQDPO+S3Vetskr5Fu\n6wCUnaNJPcQ5T+GcB6j+LgAQCmV2KiovRCfOeZHqz0ZQ9t/ioPJCdGCMdQbwCoCNktlUVog+DNr1\nZYuVF0tU3GlwJiLVjnOeCigrawDaqeZrlpNE1bxOUJYZgbT8iK/hnMsB5DDGWtXcoZPawBjrCmUr\n6nUA7am8EF1UoQ/+AFIAnFX9QFJ5Ibr8CeBrKG/uBFRWiD4cwFnG2C3G2AzVPIuVl5rK405IZVVn\nb2lmfBVSlzHGmkLZAjGbc17AGNMsH1ReCACAc64AMIAx1hzAv4yxftAuH1ReHnKMsdEAUjnnAYyx\nYQZWpbJCBE9zzpMZY20BnGGM3YcFry2WaHGbXMqdAAAgAElEQVQ3OjgTeaikMsbaA4DqUVKaan4i\ngC6S9YRyom++2muYciyB5pzzrJo7dFKTGGM2UFbat3POvVWzqbwQgzjneQAuAhgFKi9E29MAxjDG\nogDsBvACY2w7gBQqK0QXznmy6v90AIehDPm22LXFEhX3WwB6MMZcGGN2ADwBHLHAcRDLYFC/mzwC\n4D3V31MAeEvme6p6W3cD0APATdUjqVzG2GBVh4/JGq+Zovr7/6DsMELqr38A3OOcL5fMo/JCtDDG\n2ghZHRhjDgBegrJfBJUXooZz/j3n3Jlz3h3K+sd/nPNJAI6CygrRwBhrrHryC8ZYEwAjAATDktcW\nznmt/4OyJeQ+lEH731riGOifRT73XQCSAJQCiAMwFUBLAOdU5eEMgBaS9b8DEAHlD/AIyXwP1Rcn\nHMByyfxGAPap5l8H0NXS75n+VbqsPA1ADiAAgD8AP9V1oxWVF/qno7y4qcpIAIAgAPNU86m80D9D\n5eY5AEeorNA/A2Wkm+R3KFios1qyvNAATIQQQgghhNQDFhmAiRBCCCGEEGIeqrgTQgghhBBSD1DF\nnRBCCCGEkHqAKu6EEEIIIYTUA1RxJ4QQQgghpB6gijshhBBCCCH1AFXcCSGEEEIIqQeo4k4IIYQQ\nQkg9QBV3QgghhBBC6gGquBNCCCGEEFIPUMWdEEIIIYSQeoAq7oQQQgghhNQDZlXcGWObGGOpjLEg\nA+usYIyFM8YCGGPuVT9EQgghhBBCiLkt7psBjNS3kDH2MgBXznlPAB8AWFeFYyOEEEIIIYSomFVx\n55z7AMg2sMpYANtU694A4MgYa1/5wyOEEEIIIYQA1R/j3glAvGQ6UTWPEEIIIYQQUgU2ltrxmDFj\neElJCZycnAAATZo0QY8ePeDurgyLDwgIAACapmkAwIEDB6h80LRJ08LfdeV4aLpuT1N5oWlTp4V5\ndeV4aLpuTQNAYGAgUlJSAACurq5Yu3YtQzVjnHPzXsCYC4CjnPNHdSxbB+AC53yvajoMwHOc81TN\ndSdPnsyXL19euaMmD51Fixbh22+/tfRhkHqAygoxB5UXYioqK8Qcs2fPxrZt26q94l6ZUBmm+qfL\nEQCTAYAx9iSAHF2VdkIIIYQQQoh5zAqVYYztAjAMQGvGWByAnwHYAeCc8w2c8xOMsVcYYxEACgFM\n1bct4VECIaaIi4uz9CGQeoLKCjEHlRdiKiorpC4wq+LOOZ9owjqfmrItV1dXc3ZNHnJubm6WPgRS\nT1BZIeag8kJMRWWFmOOxxx6rke2aHeNeXc6fP88HDhxokX0TQgghhBBSU/z8/DB8+PBqj3G3WFYZ\nQgghpDZwzpGWlga5XG7pQyGENBCcczg6OqJp06a1ul+LVdwDAgJALe7EVD4+PnjmmWcsfRikHqCy\nQjSlpaWhWbNmaNy4saUPhRDSQHDOkZWVhdLSUrRu3brW9lvdAzARQgghdYpcLqdKOyGkWjHG0Lp1\na5SWltbqfi1WcRcS1xNiCmpBJaaiskIIIaShohZ3QgghhBBC6gGLVdylQ8QSYoyPj4+lD4HUE1RW\nCCGENFTU4k4IIYQQQkg9QDHupF6guGViKior5GERERGB5557Di4uLvj7778tfTh1Sm2fm6eeegq+\nvr41vp+GxN3dHZcvX7b0YdQ71OJOCCGE1EMrVqzA0KFDERsbi/fff9/Sh1On1Pa58fX1xVNPPVXj\n+6luxirPdb1yXRPHl5OTg0mTJqFLly5wd3fHwYMHq3X7VUUx7qReoLhlYioqK+RhER8fjz59+uhc\n9rAPNmXo3BAC6P+OfPXVV2jUqBEePHiAdevW4csvv8T9+/dr+ej0oxZ3QgghpJ55/fXX4ePjg7lz\n58LZ2RmRkZFwd3cXW5q7dOkChUKBlJQUTJkyBb169cLAgQOxYcMGcRtBQUF4/vnn4eLigunTp2PG\njBn4/fffxeWtW7dGTEyMOP3JJ5+oLTe0bXd3d6xatQpDhw5Ft27dMGPGDJSVlYnLExMTMXnyZPTq\n1Qs9e/bEt99+i5UrV2LKlClq7/Pbb7/F999/r/McPHjwAGPGjEG3bt3w9NNP49SpUzrPTVRUlNZr\nly9fDg8PDzg7O+Opp57C8ePHtZb369cPzs7OeOKJJ3DlyhWD8zVbfgMDAzFs2DC4uLhg6tSpmD59\nunjujJ0bd3d3rFy5EkOHDoWzszNmz56N9PR0vPXWW3B2dsa4ceOQl5dXqc9h+vTp4r4++ugjJCQk\nYOLEiXB2dsbKlSvVzoG+5ffv39d53nXR9TnrYqis6Tvnuo7P0LkQzofmd0SqqKgIx44dw7x58+Dg\n4IAnn3wSr7zyCvbt26f3PdY2inEn9QLFLRNTUVkhDcXXX3+NuXPn6lx2+PBhDBkyBF5eXoiLi4Or\nqysA4NChQ9i3bx+io6PBGMPEiRPx6KOPIjQ0FIcPH8b69etx4cIFlJeXY9KkSfD09ERUVBTGjh2L\no0ePqu2DMab32Djnerct8Pb2xsGDBxEQEIC7d+9i165dAACFQoEJEybAxcUFQUFBCAkJwRtvvIG3\n3noLFy5cECulcrkc//77LyZMmKC1f5lMhokTJ2L48OEIDw/HokWLMHPmTERGRmqdm+7du2u9vlu3\nbjh58iTi4uIwd+5cfPjhh0hLSwOgjI/fuHEjLly4gLi4OBw8eBDOzs5652sqLy/H5MmT8c477yAq\nKgrjx4/XujHQd24Ex44dw+HDh3Hz5k2cOnUKb7/9Nn7++WdERERAoVBg/fr1lfocQkJCxH2tXbsW\nnTt3xu7duxEXF4dZs2apHYOu5TKZDO+8847O865J3+esi76yZuicax7fp59+avRcAOrfESsr9Wpw\nZGQkbG1t0a1bN3Fev379EBYWpvP4LIFa3AkhhBALCQ0NxY4dO/Djjz/ixIkT2Lp1K3bv3g0AWLJk\nCby8vMza3gcffIAOHTqgUaNG8PPzQ2ZmJr788ktYW1vD2dkZkyZNwsGDB3H79m3IZDJ88MEHsLa2\nxpgxYzBgwAC1bXHO9e5H37YPHTokrvPhhx+iXbt2cHR0xKhRo3D37l0AwO3bt5Gamor58+fD3t4e\ndnZ2eOKJJ9C+fXsMGTIE3t7eAIBz586hdevWcHNz09r/7du3UVRUhNmzZ8PGxgZDhw7FyJEjTY5H\nHjNmDNq1awdA2ULfvXt3+Pn5AQCsra1RXl6O0NBQyGQydO7cGS4uLnrn6zo2uVyO999/H9bW1nj1\n1VcxcOBAtXX0nRvBzJkz0bp1azg5OeHJJ5+Eh4cH+vXrBzs7O4wePRrBwcEAgDt37lT6cxAY+pw1\nl5tz3u/cuaPzcza2DylTzrnwWn3nQvPYpN8RTYWFhWjWrJnavGbNmqGgoEDn8VmCjaV2HBAQoFWQ\nCdHHx8eHWlKJSaisEHN5enlUy3b2zL1j9muSkpLQv39/nD17Fr/++iuKiorw3HPP6WxlNkXHjh3F\nv+Pj45GcnCy2OHPOoVAoMGTIECQnJ6NDhw5qr+3SpYvJ+9G3bWkHzbZt24p/Ozg4IDU1FYDyPXfp\n0kWrtRMA3n77bWzZsgWTJk3C/v378fbbb+vcf3Jystp7FY4/OTnZpOPfs2cP1q5di7i4OADKEInM\nzEwAytb43377DYsXL8b9+/fxwgsvYMGCBXrnt2/fXuvYNM9tp06d1Kb1nRt9y6XT9vb2YkUyISGh\n0p9DZZhz3hMTE/V+zqbSdc5//fVXODk5aa1ryrkAoHX8Uk2aNEF+fr7avLy8PDRt2rTS76G6Wazi\nTgghhNQFlalwV5fhw4fjzz//xMiRIwEo485btWpV6e1JQw46deqErl274ubNm1rr+fr6alW2EhIS\n1EIEGjdujKKiInE6LS1NrIAa2rYxnTp1QkJCAhQKhValbvTo0fj6668RGhqKM2fOYP78+Tq30aFD\nByQlJWkdf48ePYzuPyEhAZ9//jm8vb0xePBgAMBzzz2n1uo7fvx4jB8/HgUFBfj8888xf/58rFmz\nRu98KScnJ61zm5iYqHZuq0tVPgfAcDiUruXmnHdDn7MmQ2VN85z/8ssv4jk3tbwbek9Srq6ukMlk\niI6OFj+vkJCQOtXRmWLcSb1ALajEVFRWSH1z4cIFPP300wCAvXv34tNPP62W7Xp4eKBp06ZYsWIF\nSkpKIJfLERoaCn9/fzz++OOwsbHBhg0bIJPJcPToUTFURODm5oaDBw9CoVDg3LlzannK9W3blIxx\nHh4eaN++PebPn4+ioiKUlpbixo0bAIBGjRrhtddew8yZM+Hh4aHVUi3dhoODA1asWAGZTAYfHx+c\nPn0a48ePN7r/wsJCWFlZoXXr1lAoFNi5cydCQ0PF5REREbhy5QrKyspgZ2cHe3t7MMYQGRmpNV9X\nhfTxxx+HtbU1Nm7cCLlcjhMnTmid2+pSlc8BANq1a6fWKdTYcn3nfdy4cTqPTd/nrKl///46y5q+\nz0LX8Rkq76Zq3LgxXn31VSxcuBBFRUW4fv06Tp06hbfeesvkbdQ0inEnhBBCLKSwsBBpaWm4du0a\ntm7digEDBuC1114DAHz55Zf46quv9L5Ws+VQc9rKygq7d+9GcHAwBgwYgF69emHOnDnIz8+Hra0t\ntm3bhl27dsHV1RXe3t7ifgW///47Tp48iW7duuHQoUMYPXq00W0LHUsNtWpaWVlh165diIqKwqOP\nPgo3NzccPnxYXO7p6Yl79+7pDZMBAFtbW+zatQtnz55Fjx49MHfuXKxbt07spGto/71798bHH3+M\nESNGoE+fPggLC8OTTz4pLi8rK8P8+fPRs2dP9O3bF5mZmfjpp59QWlqqNf/HH3/U2p9wbrdv345u\n3brhwIEDGDlypBhTbW4rt7FzWdnPAQDmzJmDpUuXonv37li9erXR5frOu64Wd2Ofs/TYFi5cqLOs\n6fssdB3f2rVr9ZZ3U86lYMmSJSguLkbv3r3xwQcfYNmyZejdu7fR19UWZqxTQk1ZtmwZnzZtmkX2\nTeofilsmpqKyQjQlJSUZjGu1pFOnTsHHxwcLFiyw9KHgk08+QadOnfSmX6wtCQkJGDJkCEJDQ+tU\nbHFVvPTSS5g2bVql+y6Qukvf9cXPzw/Dhw83fqdgJmpxJ4QQQiwgMjISq1evRlZWFnJzcy19OHWC\nQqHA6tWr8cYbb9TrSruvry/S0tIgl8uxe/duhIaGYvjw4ZY+LNIAmN05lTE2CsBfUFb6N3HOF2ss\nbw5gBwBnANYAlnHOt2huh2LciTmoBZWYisoKqS9cXV21cqdbkilhBDWpqKgIffr0gbOzc50a8KYy\nwsPDMW3aNBQVFaFr167YsmWLmH6SkKowK1SGMWYF4AGA4QCSANwC4Mk5D5Os8x2A5pzz7xhjbQDc\nB9Cecy6Tbuv8+fOc0kESQgipaXU5VIYQUr/V9VCZwQDCOeexnPNyAHsAjNVYhwMQstc3A5CpWWkH\nYHKPZ0IAZdwyIaagskIIIaShMrfi3glAvGQ6QTVPahWAvoyxJACBAGZX/vAIIYQQQgghQM10Th0J\nwJ9z3hHAAACrGWNaPUwoxp2Yg+KWiamorBBCCGmozO2cmghlp1NBZ9U8qakAFgIA5zySMRYNoA+A\n29KVDhw4gI0bN8LZWbk5R0dHuLm5iT+6wuNumqZpmqZpmqbpqkzn5uZSjDshpEbk5OQgKioKgPLa\nExcXBwAYNGhQjWQSMrdzqjWUnU2HA0gGcBPABM55qGSd1QDSOOfzGWPtoaywP8Y5z5Jui/K4E3NQ\nbm5iKiorRFNiYiI6duxo8awphJCGRaFQICUlpe52TuWcywF8CuAMgBAAezjnoYyxDxhjM1WrLQDw\nFGMsCMBZAHM1K+2EEEJIbXF0dERWFv0MEUKqj0KhQGJiItq0aVOr+7XYyKmUDpIQQkhtyczMRGlp\nqaUPgxDSgLRp0wZ2dnY6l9VUi7vZAzARQggh9U3r1q0tfQiEEFJlNZFVxiSUx52Yg3JzE1NRWSHm\noPJCTEVlhdQFFqu4E0IIIYQQQkxHMe6EEEIIIYRUozqRVYYQQgghhBBiGRTjTuoFii0kpqKyQsxB\n5YWYisoKqQuoxZ0QQgghhJB6gGLcCSGEEEIIqUYU404IIYQQQshDjGLcSb1AsYXEVFRWiDmovBBT\nUVkhdQG1uBNCCCGEEFIPUIw7IYQQQggh1Yhi3AkhhBBCCHmIUYw7qRcotpCYisoKMQeVF2IqKiuk\nLqAWd0IIIYQQQuoBinEnhBBCCCGkGlGMOyGEEEIIIQ8xinEn9QLFFhJTUVkh5qDyQkxFZYXUBdTi\nTgghhBBCSD1AMe6EEEIIIYRUI4pxJ4QQQggh5CFmdsWdMTaKMRbGGHvAGPtGzzrDGGP+jLG7jLEL\nutahGHdiDootJKaiskLMQeWFmIrKCqkLbMxZmTFmBWAVgOEAkgDcYox5c87DJOs4AlgNYATnPJEx\n1qY6D5gQQgghhJCHkbkt7oMBhHPOYznn5QD2ABirsc5EAAc554kAwDnP0LUhd3d3c4+VPMSeeeYZ\nSx8CqSeorBBzUHkhpqKyQuoCcyvunQDES6YTVPOkegFoxRi7wBi7xRibVJUDJIQQQgghhJgZKmPG\nNgcCeAFAEwDXGGPXOOcR0pWWL1+OJk2awNnZGQDg6OgINzc38Y5WiCWjaZoGgLVr11L5oGmTpqVx\nqHXheGi6bk9TeaFpU6eFeXXleGi6bk0Lf8fFxQEABg0ahOHDh6O6mZUOkjH2JID/cc5Hqaa/BcA5\n54sl63wDwJ5zPl81vRHASc75Qem2li1bxqdNm1YNb4E8DHx8fMQvCSGGUFkh5qDyQkxFZYWYo66k\ng7wFoAdjzIUxZgfAE8ARjXW8ATzDGLNmjDUG8ASAUM0NUYw7MQddLB8O6bnJiEy+Z3S94tJCyBUy\nncuorBBzUHkhpqKyQuoCsyrunHM5gE8BnAEQAmAP5zyUMfYBY2ymap0wAKcBBAG4DmAD59z4LzEh\n5KE3a/2rmLfdeLeYqcufxfYLf9bCERFCCCF1h9l53DnnpzjnvTnnPTnni1Tz1nPON0jWWco578c5\nf5RzvlLXdiiPOzGHNIaM1B+eXh5Iz02ukW0nZcbonE9lhZiDygsxFZUVUhfQyKk1qKy8BP9e+8fS\nh0GIRRWV5lfqdRl5ydh3Za3W/Lj0cAAAY9UeOkgIITqVy8pQVl5qdD3OOYpKC2rhiBq+mNT7kMnL\nLX0YdY7FKu71Ocb9xO1dMKVTb3RqGPZeWV0LR9TwUWxh/ROZHAIA+PfaJvxv1wydN7G3wy/hvT+H\nAgBSsisyzcamPcDVe6dw6NpG3HzwHwBArpDhQWKQGCKjHA9OG5UVYg4qL8QUfx35FjuCfjG63qW7\nRzFt+XO1cEQN37dbJ+JswAFLH0adQy3ulbDtv2XgMFxxLyjONbqOJZy4vQs37p+39GGQBi48KRjz\ntk8GAFy/fw5hCf7Ye2U17kRc1lgvCCXlRdh3ZS3m/P26OP+bLRMQlqAMp/vj8NcAgFvhF/HTzqni\nTbOx9vYjN7bi/ZUvVNM7IoQ0ZJxzg2F9SZkxJrWk11Ro4MOqTGb8KUdNCE8KhoIrLLJvYyxWca/3\nMe4GWtyTs+IwQ0+FwdPLAwFRvmbv7nb4RXh6eSC/OMfs10pt+28Zdl5cXqVtWALFFtYPt8MvIi03\nCT/ueE/n8mM3t6vPUIW7HLq2UWtd/6iKzzww2hfJWbEAgLuxN1Uv1X35EsrK/cRA5BfnmnX85OFD\n15aHU0TyXZSVl4jTgdHXMGv9q3rXZ4whK7bY4DbLZKVi5T427YFZobLBMTeQpLrGmeOQ70ac9W/A\nrdJmpCyvTj/ueA+Blair1YaHqsXdnJz1uigUcnEbhlrTi8sKDW4nOjXM6L4452rHu+6k8hHdL7tn\nmnKoBlXXXeSDxCC1C59UYPQ1i90pk9rhH+mj1YK+9N8vcfjaJr2vkcaly+Tl8L6+2aR9Ldw/C3uv\nrFGbF58RqTclJADcibhk0rYJIQ3blZAT2Hjmd7V5P2yfgmWHvxKnjbWmW6kaCqJTQuEbehoAUFJW\nhIy8FPxxeC5Ky4ux5NDnOHlnFwAgJO62WaGyv+37GOtOzjd5fcE+n7XY56PdFygzPxWeXh5mb6+u\nqUrkwsXgI1WKMDD0+6JLbmEWsvLTK70/Uz1UMe4TlgzCGf/9lX79xKWD8ffp3wAYvgkw9gi/pKwQ\nablJ4nReUTaKSwux+MBscd6ey6swfcUwcbqgRNlyGJ8RqTebhqky8pJx5MZWlJYbbj047bdPDFPQ\n5aedU3FVdQGTKpeVYeH+T+ETcqJKxylFcah1j9ehz7Hk0Oda8w3dGAoVd8457sXfqdL+03OTcCHI\nG4CyzBWXKm+Y9ZWVwGhf6uhEtNC1pWEIjffDyTu7dS475bcH5wIOas0PjL6mNU+ukMHTywMlZUVq\n8xMyo9DKxQFb/1uGFUe/R15RNt77aygCoq7i5oPzmPLnM+JTQQDgquug9HcwMvkeFAp5pd6fubLy\n02plPzWtKu2t607Ox4ZTv1b69QquQFx6uMmf2c+7puPjtaMqvT9TPVQt7gAQEnerSq//L+hfAEBY\ngj9k8nKUlhfjrP8BnLi9S2tdfQXO+8YWfLb+NXF65qoXsevSCrXQgKjUUBSVFqC0vFjrjvGLTeOR\nlpukt7X747WvIDEzGjsu/IUvN72pc51dl1Zgyp+Gf7Au3z2Gmw/+Q2FJPvwir6h9AYQK0PpTv+CX\n3TNxL66iEpZXnG1wu6RhYHpuUS8Ga47JViEswR/puckIjffD7/s+qfIxbDzzOzy9PLD6+I+YuvxZ\nsfIubV27FnYGiw58hoX7Z2Hh/k+rvE9CSN2z58pqbD2/FEWl+WKHdkBZ+dJ3rZISHgZ+sXE8AGUj\nWXx6hNYNQViCPwAgSFXpD433k25Fbb8AsOr4j+K8edsn4Vb4RaPHUlJWZFKEQIEqFDC/OAeeXh5q\n19S6Gp9tLm7B91FQnIu5mz1xLewsLgYfQXx6hLgsKOY6zvjvx4PEIPFcp2THAQCiUkJrtC+hTY1t\n2YiAgAAMHDiw1verUFRPIdh5cTlaNW2HO5EVoQKvDJoIuUIGmcbjleLSQjg0amJwezmFGWrTNlbK\nj0Zf5fqz9a/hZY8JmDL8K61lWfmpeivs5hC+MCfv7EZqTgKuhBzH1Be/we2Ii1h+5DtxvXvxd+AX\neQV9nWvusRwNNV33KHhFK4Rv6GnsuPCX0dfIFXJ89c+bKNVz01lZQmzox2tfxvRBv6u1rknLakjc\nbSRkRCElOw6Deg6r1mMg9RNdWxqWM/77sefyauyZq2xMmrjkcYPrH7mxFS2btoWNtfI3NzUnAQBw\n+No/uBN5GX06DxAr61mxxWjl4gCgokJ+NfSUuK2MvIqOqdK+ZNkF6Whq7wgABp/6peckAgDe+2so\nZoz4Hi+6jzd47CuPzVObDoq5XjFhodjw6mYoVCYo5jo6tnJBm+YdamTfQj8quUImhjHNGDEPT/R+\nQe0m6UX38Zgx4ntx+udd01EuK8XcF/+ukeN66FrczY1Z0vc6zrlapV2w/uQvYsc8oeI7dfmzOreZ\nlpuExMxocXvq+zP+aKagJE9tOjjmhlYcHwB8tn6M3m1cunsUnl4eYsweoLywnPHfL7acMwA37p8D\noOxEKK0IaeKcq6X10+X7bZOw4oiykH+y9hVcunvU4PqkdkUm30NJmTKMar/POvjcO2n0Nffi7yCr\nwLRHs9VdaQcqvp/G+pcAwKazi7D03y9N2u6PO6YitzBLaz7nXC3cjRBiWUKrulxu3m/8rksrsPr4\nj1odPEtUoaRCpb0qPlozCntU8e55xdnitSMgyhf7rqzFzosrAADZkgY8fb+jnHOxhbdYI5xHStFA\nKu6aNyDSvgi/7/sEG04tAACcCziIIze2issKqjExgZWVtfj3xjO/4f2Vw9WWS5/wAEB5Dffvq5cx\n7rp+SPUpl5Vh1bGKR1VJmTFYeXSeWZXFmNT7eGfpE2rzdD2G2nzOC5dDjovT0vyjt8IvaHUU+Xnn\nNL0t440bNTP5+AS/7ftYZxxfWm4iPL08dHZUWXvifwCAFUe/R2C0sgd1fEYk/jm7SCysjFmJHU3/\n1dPx0D/KB6k5CfhhxxT8uucDg8cZlXJPDFnKzE9FSOwt3E8MxCdrX9H7GmMtYlEpoZW+KastOQUZ\nxleysOLSQszbPgneN5SdRg/6/o1Dvn9j+vJhKJeV6X+hhX8jhBtgAMi0CTe4rvA40xThSUGIy4jQ\nmh+W4K8W7kbqL2ptb1h09bsyhWafm5Jy7Uqx0NpeGcINwNbzS8Vrx9Gb23Do2kacD9T+3S7UaJiL\nT49AfEYk1pz4GV/8PQ4A8CAx0MAe62/FPSs/Tfy9zC/JxT9nF4vLpi1/Ti3lZnDsTZSWF2PXpRXY\ndWmFOH/Rgc8AAIV6BgDknOOfs4t0hiStOKpsWBRuEqwlFXddqiuSw1T1rsU9Kz8NH6x+yaTOAkWl\nBYhNfwCfeyfEjhopOfG4GnpK7NRmCl0fvDB6o9Rpv71q09fCzoh/SysWgrwi7RuQ3MIseF/frPOi\nof366o0lD4y+jneWDhbvcAtLlO/blBEqEzOjMXvDWHHQHQD4L+iw3vWlNz6XQ47j553TqtQL/vtt\n71b6gl0bMvNT8eGakTW6j9zCLLPOX3ZBOn7eOU1t3l9HvgGg3rGJc+V3YNIfQ3RuR66Q4ZyOHx5L\n2X15lcHl2QX6e/3/c3YRfEPP6F0uMKVlnxBSe4QW96SsGADKTFSaYSnxGZF6G7E0SX/LqoPm9uLS\nw2FjbQtAvRU5MvkeAMDG2haeXh5i5q7FB+dgycHPcSXkOFJy4vWmlS4uLcRn68dUOYueJc3++3V8\nt+1dAMCpO3twxn8fAODwdWV6zY1nfsf05cMAKCMb/jj8tVY/hojku2rT0qyAQEVkgdDgJ1fIIJOX\nIyU7XoxA2H7hDwCAtZXhqHK5Qqa1v14aA/oAACAASURBVJpU7/K4C4+vtuuIp41MDhE7bJaUFcPr\n4Bz8sH0KAO3KpxDG4unlobNnuZS9beXvsgW6PnhpOIxQnDae+Q27L69CQNRVo9sUWsgBICEjqsrH\neOL2TrVjqrjjr9zQ8oYLsv6LyoUgb60e8abkWq6NjCFyhaxSLec1ER6iydzK5EdrRuG+qsVGoZDj\n5oP/xO+CsSdS0hvRcwGHzDzSmmUs17IhZ/z3Y8VR/aFgAuHGXaGQqz0BvB1+SfxxSMyMRmZ+aqWP\nhdQOyuPeMAVG++K7re+ozduoygpXWVW5tmiau9lT7TdcMG/7JAAV9YMlhz7Hv9f+QUZeMtJyE8X1\nFh2YpXO7J+7sQlpuoljHERrg6pNyWanOBpY9l5XhRoHRvmoNqoHR18R4dM45Plqjndll4tLB+GjN\nSDEMVPMJy8qj8/DZhrHILcw0+3iLywrFumZtqFct7jmFmfhio/IRkZArVWre9sk4eks5wMvOi3+p\nxaZphtdIq43RqaEAgL9P/6YW6y2w0jPQizmM9WoXck6b0uNcKjwpGNv++wPeN7ZU8si0abZcm9Dg\nrpfmXX9s2gMAyhsrfTFo60/9glN+e8A5F+P4i0sLxVANXU87AOPnuDqcuL2rci3nJrZ+xGdEVvoG\nxJQnI7pwzpGcHac39ae0c5BCIce6k7+oXaQ2n1us62V1ntDyNnHJYBy4ukEsm4D+nM4yeTk8vTzE\nH5BTfnvxweqXxOVL//0CyapQnPm738ea4z8hKTOmUgOrEFJdzL2mKBRyrQaK9NzkGs9UYmo2FVPF\nZ0SqTd83GFpStwgZ7ACYlQ9+v886ABUd9qevGIaQuNvVe3AWoCtqQUpImS1XyLQq/UIfgpzCTBy6\n9jc8vTzEDGMKhRy3wy8iMuUesvJTcUJH3VLaAbkuqFcx7voqep5eHuIy4QdXs/Xx260T1aalFwfO\ngfdXDsf5wEM6RyC7GX7B7GPVtOOi8YwblXEhyBsnbu9EeGJQtW3z+K0datNCJaUyPtswBp5eHlAo\n5EjJjsfx2zsBAOXyMr2jywLKmLFVx37AjBXPY83xn7Dpzvdix9u5mz2RkZcCzjmu3jslXpTWn/oF\n4UnBlT5WU+QVmT9y7fX753Az/D/jKwL4+p+3cPJ2ReoxTy8PsaxGp4Riyzkvva/VN5KoMTGpYTpb\nN4R+DdKY8GnLh+FisHedDhUxNw5VweU4cHU9vtkyQZx39d4pMbuElGaHsW3/LdNaR7iBzCvKRkp2\nPL785//w9T//Z9YxkdrTkGLcFQq5Vl+fvKJsvLvsSbO2c8Z/v1YDxaz1r+KaCWFkVfHeX0Mrnawg\nNMHP+EpVVJUY99q26exC8W9j/c5qiqeXByb98ZQ4HZ0SCk8vD7X+Up5eHmo3WLM3jNW5LVMz5ekq\n60dvVnRalXZgBYCpy5/D0n+/RLqqw7CuNI41mdqxMiyWDrIyrHR0EBAuUkKFXWiN1bWuVHhSkCQr\nBEd+sbJCJk1xJ0jLSdSaV1cI2V5ScgxncjFHVUYq0yR8Gf4L8sbGM6Y/piwqLRDvcoUOvzcf/Ifb\nqicSypsLhpN3dmHmyB/E110IOoyeHd30bjcyOQSuHfqZ+S4qaDZq3w6/hLuxN/Dei3P1vuYv72/M\n2kepTD2sZsqfT2PbF764ePcoTvvt1dpXdGoYmjm0wKVg9R+8sAR/9Ok8QOc+QmIrxjMQYgk16bpR\nNqXvRUMg/dEDlKMEF5UWYPmRb42+VvrkQwiVUfCafxpEHm6pOQn48/Bc2FjbYsGkisqJ5kBCxsgV\nMmRKQhXTc5NRpApL0HwSlVOQAccmrXU+7QuMvobsgnQMc9Of1UyXjLwUg8sLinPR1MFRnJ656sVq\neSr+MIhPj0CnNt1hxayw/cKfCE8Kxi/v/FMj+xLKijTDivDEo7isELY2dmI2ltTseHRp44ot55fo\nbDCpSXU9qYUu9SrGXbNnb2l5sVa2l+CYG8jIS4YVM1xxB6AzK4TQWzlKdWcI1L3HJFL6ekzXNWcD\nzBuxVvqYEFDGFhaXFYrv9+Sd3WK4lDRvvqEOsYAynMqUuGN9X2bNVu3T/ntxym8vZPJyrUd5Wfnp\n2HJ+ido8fZ2qs/LTxLJ34Op6sbUbULZ8FxTnii3v0pAOAPhu6zv4dN1oHPTdIM7LK8rG/3bN0Bvy\nEWpCijNTUpLWhLeHflyl11dnHCoA5Bfl4KedU7HowCy9TxomLHlcbRAyTRwcuYVZmLdtssn7LZOV\nio94T97ZLQ4uRapXQ4hxzy/OwewNYxGTdl+rb5EQF/2X9zd4oOfJrKeXhxhauvjAbLUWykUHZolP\no3ZfXomlh75ASVkxPL088OGakWoDBwpSsuPxl/c3Yu5rwPiAQMJI3lySHEEa4hMUcx2X7h5Ve1Jb\nUJKHvKJs5FQiLrkyqvvaUpuO3tiGrze/jfm7ZmDO32/AL+KK3qw0/5xdhOuqRkFNV0JOYNUxZWOZ\n0OAJAMlZcWr9nYSMdVJCo+DMVS8iIy9FDM+MUw1sdOrOHvPf2EOoXt2mCj2wBdIE+NKc5vt81hlN\n3yOlGdMtk5djmSrPc2WznBB1mpXN6vTP2UVq0/t91hlMXWhKhfSDVSPUHo8Vlebju63vaLVeCWER\nZ/z3az3KC4jy0boQHbi6QW06Iy8ZyVlx+G7bu5jz9+vi/My8VKw5/pM4PWPlC5DJle/pmy0TxB9g\nfT+Gwg2CropiZn4qDlxdr/N1UrPWv2p0nZrg2KS1RfarzwUjN4OAsrP7L3tmAlB26va+vllrnbj0\ncESmmJ6p4krIcbECtfX8UgREG++wTh5On6vSAwr+vfYPfENPo6y8BAevKgeBuX7/HM4H6u9ILjxZ\nllb8J/3xlNrIlUWlBbgdcQmn/CrC+RIz1BssQuJuY87fr4s3uXKFDJxzTFzyODjniEoJ1bl/zVTG\n01cMU2v4+H3fJ2JlcN3JX+ATcgLfbPbU+36Iup2XlANC3U8MREp2nMEn62f89+O0nzKTi1/kFfF3\nz9PLAweurofPvZOQK2R4f+VwXAk5AQDwvrEZG8/8hsTMaHh6eeCWjhBjaYiyNKHGPp+1Rsd/IRXq\nTYy7p5cH7sbeVJsn7WjyveRx/+W7x8x6dJYgia/iXIH84pw6kw3CzeUJ4ys9BMyJLTzo+7fe1IUA\nTOooWlCSi4TMigvLzosrEJ0aJj7a23J+iVprkK6sMbqehgj56wXztk/B5xvfQFFpgVYrv3RMAED9\nacJPO6ciMvmeWmVfSrgoJ2dXdIoUKvOG8uVb0qxXlaFUje0MjzJsTHXHoZbJzRtMY972yTpTUq5V\ntT5KR1fUxDnHupPzoeAKJGhUiKqz015hSX69ThdXnaQx7qf99tW5R+eG+u0I32mhY55g75XV2Htl\nDS7ePaIW+y2NH/f08sBv+z4WB1hbc+JnrDnxs9p29A0kY6jfk2Y89cxVL+Fi8BEAQJmsBN9vexdl\nslLEplUkGVh17Adsv/CnaqqiXKZkx+tM33gx2Burjv9Y67/T9SnG3RhpWHBxaaEYoiQ0GAk3bF4H\n56j99gihLB+sGgEAWH38R2Tlp4mfsb40mqfu7IGPqpIPaHeYFp64EOPqVYu7rkcv+jRv3KpS+8gu\nzKhTIwULX67Rg94xsiYxFQfH0ZvbsPjAbIOPb6U3f0LrkdCJ89SdPXh32ZNi6IyVRoznzovL1Ya8\nFsgVcgRG+6K4tBCeXh5i6inNH8jPN75h9H2EJwXp7H9RUlasNx1WXX6C9GSfF8W/f313C+a9vdaC\nR1PhfkLlUtdqylJVMjafW4IvNo4XRxleeugLcR3OFbgYfERnFpDqzOgxfcUwrU6AKdnxkMnLUVxa\nqDNN3cNg87nFSM4yfYCumiJUVstkpfhxx3tqFStBSVkxJi4drHcbqTkJagPX6BIcc0MMewCUjV6a\n4XXG0gnKuQyeXh74ZfdMncsLS/Kw/tQvACCOchkY7YtvtniKY5FIR2eW3lDqyyBGqk7627HmxE/4\ndN1oAMBdVbIHzRZ5zWuS9GZROliU5s0fANwOv4gt55cgKrXiacs+nzVq60iTAxDD6nSMu/SO3FxV\nSYbPofsH8pEu6pUejx7PVXofpnqi93C4uTyBSS98gT1z9cfQNnTVGVvIOcfOi8vhH+VjZHjsisq4\n/g7Kyoub0MIaFHMdMnk5jt7cpnPtiOS7WLh/FqYuf7Yyh65GX0Vuq0Zc/eZzXvhsg3kdxKrbnDGL\nDC7f9fUtcawDKytr9OzoBjeXwWgm6YRmqroeh3on4hKSsmKQU5iBoJjruK1KBQtUfKZJmTHivMt3\njwEAdl1aqbWtnMJMgwNKacoryhYrRtmSdH8KrsCcv1/Hab998A07jYX7deeIrg2FJfkGW73TchIx\n9S/d35/I5HtmP0kQYtyF1mtpJWTxgc+w+MBstfXzirKRlW/6Oa8K4Zh+2DFFrFjJFcqKsoJX7smA\nNFOVKXJ1DBQoJbS+34u/Y3SYeaG/2J2IKwCUsc66fLtFmQWuugcZrCpD15baqA/UhLP+BxAhaSXn\nqjKnnnmPG2w4FWLU9VmqCj025zVEP7Mr7oyxUYyxMMbYA8aY3nQZjLHHGWPljLFx+tYxpKSsGN9s\nqXz8WlVajPQNXztjhPrALHPGLMKXbyyt9H5MMWLAW5j39hrjKxItm/WkTpTGeQrZECKTQ/DxmpfV\n1rNiTHxMre9GUHPwrt/3fQLfsJpNmSbQ9wj9QrD6qMCn/fZaJDPSuCEzxL+f7PMStn9xDT9P+Fvn\nusLTjV/f3YJBkh/Av2epp9Gc/IL2DwAAOLXoUtXDrXWcS0d7jFXNU/5Yfrt1otj5WmjBylKNLCxt\nAf1+67s6n67o4unlgZmrXhQrT9KHRLsvKW88Y9Luq3WMrk1Cn5LpK4Zp9QWRSsyM1ttJeN72SQiN\nNz0t4JZzXkjOjkNJWRF8xPNS8bPoH3VVq/Plzzuni/0/Tt7ZXa1PsXIKMjBteUX5F8JBhY7vP+2c\nhj8PK7NKCRWfyoQ8ZeYbztxSWYZS/EpdDNY/cvmhaxsRk3a/ug5JJ1MaBBxMDNkb3OsFbPrsIjyf\n/QQfj/5FbX59sOnsQvHmPyTuNhSqxijNcnXPQC74lcfm1dwBEi1mVdyZ8oq2CsBIAP0ATGCM9dGz\n3iIAesegNxbjzmtooIfuTn2NrqMvtaJ09NNhbmNga2OHQT2GVel41nx00vhKEi0q0XHv87H6c3/X\nF5WJLTztt1dtev1J5UVV2hrOOYdMXo5/r21CVkGa2gBcCq7AjzveM3u/+jLHVLdrtXSDYI4XHlXG\n3Du1dMZbQz8CAHRo6QIAsLWxU3tKMPXFb7Bw8g78IAmJ6dnRTSuV6565d/BYN2WfhSd6D9e537FP\nTlXto5FaWXm85/Na62767KK5b6tGxKWHizeOX2wch7ScRMN9M1RyCjPEynVWQZrBdSOS74rlXiB0\n5pYOWHbWX5n16UrIca0fbM652hMAQ4TvkyZjN46cc/zpPVcsH0KGJZ2MDDRWLtffMV3TKb+9OBi6\nDAv3f4pk1c2TZmpDzYHd8otzxCcCManGK5gKrhBDRIxJy01SC1URBokRPEgMFJ/Q/G+X8sb4q0qM\nEfDpOst0PNdl/q73a32fptzr6Pptll5b3npGeX1zbNwKTeyboUsbVzzbT/lU5I0h0zFnzCK1tJz1\nwZEbW8W6V0p2nBjbvv3CH8guNH/EcFIzzG1xHwwgnHMeyzkvB7AHgK5s+bMAHABg+Fellnk++wnm\njvvT6Hq/7f1I5/z2LToDAAb1eA4fvqxsBWOM4ffJO3Sub8zHo39BU/vmZr1mwaSt+Ot941kupJ7o\nPRydWnfTu/yb8cvxsod6fFnjRk3N2kddJa2EaLZEA8o4vsshx8Ufw2O3doi92yvby33LuSXGV2qA\nFkzaipmjfsSCSVvx+2TlzdGSafvwx4yKbBHSG/KXBryJbk6PoL+L/jhdwQuPKmP+WzdrrzNk7PFe\nygr69i/Un7RpVsKa2DdHE/tmJr6jmqU5ZLmpaWe/3PQmJv/xlM7B4mTycpSpOkpzznHw6gatci9W\nDCXnRnqetFra4u/gi03jTYqxP35rhzgAivf1zeJI159tGKP1FDQjLwU7L66A18E5Ylo6oZLsc0/Z\niS0rP11r1GvN/iTaOErKiqBQyLVuGMpkpTrzhN9PDMS/1zYpj0Fj+xwc/wUdxt4ra1TLlfNXH//J\npAamclmpVnrbj9aM0hlLb2VlfvSqsREl67rqHjipY6uuRtcZ/pjxPkQOjZqI1xppS7pg3FPKGyfN\n8rL9i2t4e+jHsLKyRo8O/TH6cd3jZOiz/pOzZq1fnWTycjE8Kb84BxtO/WqxYyH6mXuV6ARAWptJ\nUM0TMcY6Anidc74W0D8Gval53KvzMeTrT04zOjCTIcIXtDLbmD1mIexsGqnNe7bfaNjZ2ut9/K9r\nJMw2zTvAqaX5YQE/eWo/ehYGInLt0E/tBmLFB0ex8bMLOitILzz6Opo0UlZ8TLlAVpfKxi1PWDII\nC/fPwiHfjTqXf7Xp/5Ahad2LSqnI1CJ03jN3uPqHZZAiTT069Bf/b6wqI13auKr9sHVr/wiGuY3F\nV28sMyvzk7FBwextHdDMoQUA3WVF+DFs09wJANCqWXuT912zKs6NUDE0lZDFQSBXyLDh9AJM/vNp\nZOWnIyL5Lvyj9KeQFCrJnl4eaqEnQmU0OiUUH6weIQ6illeoHeuclBmDKX9WZGVJloyyGxRzQ+27\nI8TNB8fexIK9H+Gs/34cvbkVfpFX8POu6cp9a3zOs9a/KrYsS4/cEAXneO//27vv+CjK/A/gn296\n7wmBhFAChNBrKAEpkX40QXqo0pESIPZ2Hoooih6CBRVBNKd4J1h/nIU7UbAEUc6Ccmq846wXRRHk\nKM/vj9mZzOzObnZT2Cx83q8XLzKzs7uT5MnsM8/zfb7fdb2x5dW1Lms7nvjbeiNWXOfu2mLOy//A\nSzcbHXv9/V//8HmXzE927Kot/3jse3z+zUcAtAJJ+iBBeEhEpa9H7l034X7LQIGd+KgkTOxzuZHF\naktR5WG1yTFpALS20rV5P+N6khCdjNyGnSzHhoaEWbYn912Cx5bvQ+/Ww3DZwKsrfS9vCiAuHn4L\nJvddUulxvjoeIHVhquLiDmOq/Rpjeno3O3T3nB3YvPT1ar+fO7VROXUdAHPse5VKBrprvNHhsW6L\nDmWlNjdWod8+80msfHicyzFhVbgwpsSlG6M0fduOdJmuN3+DI7vPsM3h3DKzI0b3uAx/et01jZbd\n6PbKS+5CTkZ7n8/VnfjoJDRIamR8kN48ZTMapbUAlEJYaITx0x7Xaz7S4hvYvsb8oTeiT5vhRn7W\nZvVb4z/lX7ocN7X/cnx65H1kpmR7lS+8tr3/xZtu1zx8d/QI/rzXvlOv85T6jIBZA67CM/u8q74X\nHRGLeUOur/xAJy0atEPHpu5L04cEh+LBy92XpQ4PjcSCoTchLUEbZ1g6YjWu3zbD5/OoaV9++0mN\nvM4/v/4I12wtNLave2waFv3Oc3iGQIyFr2aP7V4HoKKirr6Idd6GQRAJwpVj78atT12OTtm98cU3\nH+PkqRM48t8vEBUeY3RaTp85ZdywOacg7JZTgH+UvV3pQsYfj32PM2dP45cTP+GDL/ehab1cxETG\nG697+Ot/QCmF7PRWWPPnZRjQQaujoN94vOQIlTt79gwOHfkA3/70L2PdwIQ1nY1ZHJfv/7V1OHX6\nf7Y594+dOGopOqNTSuGsOmMJp9Q510PQP0tOn9VCija/cgd2H9yBkuJShDoN7pBvWmd1qfQYfaCs\nZ+4gtM7qgrCQcARJsCU94oyLrcv3kh03/AAwa8CViI/Wstbdt7DycMUgCUJQcBAWOkbtN+26pdLj\nK9MorQV+sfn7CQ0O8ylUzJm7gn3nA2+KclZmbP5cHPnvF9h36GUsHHYz7n3+OuOxsJBwI4RRj86o\nLb6OuB8BkGXaznTsM+sCoEREvgAwFsC9IuKS0uLw4cOYPH0CVq9ejdWrV2Pjxo2WCnZvvvGmMRJy\n9NdylJedQHnZCfx68hd0adbH2AaANo3yUF52At9+/hMu7TUP14zfiA9KP0R52Qlj1Liw/fXYs2cP\nIsIiUVJcank+AI/bIkEoLzuBPXv2YN6Q69GxaT727NljnK/+eHnZCUAppMTVR/+GUy2vt/fNfUg9\n08Ly+vrzL2o9DFIeZzn+o/cP4UBpxeJD8/tVdr76dtqZHORkdjCef0nLImxa/BpunrIZ335+FG/v\newdhodqNzKGD/0R52Qlj+k9/v4XDbkb3nAEoLzuBA+9q5zOo0wSUl51A2Sdf41ZHmNDwZguN9w+S\nIHRJHo7ysuMez8+XbX1fTb2eL9tvf/rKOX0/f283SGpk+3hmUHu3x09se7WlfTq31+puf/T+p8hP\nr4jldT4/8/Evrf+H6XGtk/fmG28i6KcEtMzsCAD47ouf68TP++X3n67y8w9/WDGa/eTOxyyPf/aP\nL7Fvb0Xdi9d2v+Ly/I8++Kxi4auH9/v8mw+NbaXO4tanLtfO/dVdRtzrjOuHYelthRDHR8rQxe1R\n9ok2k7XxhRstr/fD0W9QXnYC+9854Pp+jjCd8rITGH+Ftkjz2G9HseL2mbhkhRb/r19vF/xhHK57\nbDom3ZGHV197GXc9rHWM1jy91PJ+k+7Iw5LVk3HLfVda3m/7s1onPqlRpOX4T/79Ht55613bn4e+\n+NL553X/trsw5PJ2xrbd9fr11193/Dw/QnnZCRzcr2XA+eq7T1FedgLP/d8OIxypLl0PAnE77UxL\n28eLRt2O/FaDsWfPHrzxxhtIiEkBABz/Wjtm/tAbAQBHDv9g/P5Kiktx+MMylJedQFKjSISHRlbr\nenbjpE0oLzuBhkEdbc8/KCjY7ffXuVkflBSX4ouPj+CjA9r6CoGgvOwExuauwC1Tt1br56fnaPf3\n7686203r5Vq2G6floLzsBD7/6CufX697zgDLtohgWsEK7esf4yzHNwzuiPKyEzj8+o9YsGABFixY\n4HVkia/ElxXpIhIM4BCAAgBfA3gbwESllG0pNBF5BMCzSimXcm2vvPKKevTdm3D3HPvV5Z/956Cx\nMHBq/+XY8upa47FR3WdaRvhunrIZ1z02HX3bjjBiz787+h8svn84SopLMWFNZ2yY/yKSYtOM5/gS\ngpOWkIHvfjriNh1j2Xef4orNE9EysyPG916I3IYdXd7jnrnPIi2+ASas6Yym9XLx+bcfW17vrUOv\nYPfBHcbU9jXjNqBtY/fFl97+9FW8+fEu7DvkGg9XNOp2Y1Gec/ydO3//x3PY8MINbr/HCWs6GyPu\nAPDxv95DZkoTIzwBAF4+8Gds2rUKU/svx9Auk/C/0yex79DLlgqgtWF43jRLiW6quqSYNKye/rhL\nmraC9pegUVpzIy90fFQSjh4vxz1zdiI1voHX7aym/PHZa5CV2gxHj/+IF97d5tJuf/vfCUxf1wt5\nLQrw9qevYEvRmy6haua/z9jIBNuR1EDRplGeS4G6uqppeisjTMRXjy3fh0/+/R7+4GYdkr9c2mse\nntpzn0s7/PW3XzDrnr4AgJsmPYSczA5Gu5s/9EbERSXhtu2Lz/XpnpciQqOweZl2c7T2Lyvwzmev\noUPTfBwwhYvdPWeH7Wjo4gdGGJ/xSx4Yiesm3G+E1en031t10zKfPnMKD//1NmTXb4UH/28V+rYd\ngd0Hd2LD/Jfw47HvkV2/ldv+Sefsi7ByjLZO76X9f8JmU+Y0/bzMz23fpOd5VZPh8t+twh+fuwbd\ncgoslc11MRHxGJs/x1JxV782js2fi+1v3I+Hl/zNkrkJANbO2u5S+RzQ2suSB7RlnFmpzbFmhlYJ\n/ch/v0BGchOU//I9jvz3c6x6cgH+UPgort06DUDF72L//v0oKCio8Q9Hn0bclVJnACwCsAvAhwBK\nlFIfi8hcEbGrvuD2ruDAgQMeK2X9ZnrM3GkHgIEdravo6ydmIT0xC+0adzefrOUY547F2lmuC7vs\nDOk8Cb1bDavkKO21b5y0yei0O9OzwZQUlyIiLMrl8W45BZg/9CZjO9npouEsr0V/LB252iWOav28\n59C1eT+IiE+dqd6th+HRZXvcPn7rtG3o0XKgsZ3bsKOl0w4AF3fQFqLpoT9hIeHGKntnMRG+5ec2\n3w07m9yXH3xVYReKFRURi7ioRAzubE3FOnNAxdTxpsWv4f5Ff0VJcSnSEjLOeacdAC4fvgoju8/A\nqO4zXLJ+6DNrABARFonHlu9z6bQD2t/iutnP4NFlezCtYMU5Oe/aEiiddgDepfRwo3BtjxrvtHu6\ntnjLHPaz95Nd2H1wJ9Y8vRTrTWnybnh8Fh7/2z3G9sYXbsRWp8828l18dDLaN+mB0T1mGvv0a1JU\nmDUM1V0Iw40THzIGEe+es8Ol066ribYSEhyKOYOvNdJOD+k8Ec0btEVSbCqy63vOetehab7LvtT4\nBki2WbOzdORtaJHRzrJPn4Gvi/QwRgBYVbgFmxypgHMy2mPD/BextWgv8lsNRv92o41sftMLVlpe\nQ6mzLv0rvS2M7DYd98zZaRuabE7esapwq+35zR5U8besH58Um4q2jbtha9FeNKvfBnMGXWv73Jrm\n8xJ2pdRLSqkcpVRzpdRqx777lVIuqx+VUjPtRtt1P/36X7c5aD2l1DOPnANATGQ81s3+C3rmDjL2\npcY3wFWXagVLbp6yGYkxqZbnZCQ3cSmoZGdawXLkZHqONU+Oq4d4m0qtd132F2O/XcfBmR5/X1Jc\nigZJjSo9HoBLI02Jq1+ljpSIIDzUfcrFJvVaevU96K/ljh6nbFdgZVjXKV7lvr15ymavzoPcG9pl\nMoJs4nGLx2jxzdMLVhrZXm6dts0Su+trJqTaFBeViCeK7fMLr521HdMLViIkONTt89MTGyI8NBI9\nWg7Q1nzUkIXDmI3BnS+qEdfvSuxIlAAAIABJREFUzcI9f3ix9AkA2kzv3Tuvwn0v3oT9/3zdZXHw\nzresM4O+LnwPdLfP+FPlB/koIjQSV1263kgJa8fcKbSTFJta63HJzn5yhJk1Smvh1WdaTmYHDOjo\nOip867RtuM0xEgwA147fiFWFW9E952KXQY2QIPfXQn+JCNX6ML+fpEVRtGmUpyXMcOTa79N2BJJi\n04z1M3MGX2v0j/Q+S36uVsvirDqLi1oPs3TO9TUDoSFhlnaQldrM9nzMN0/6z29Y1ylo3qCt2+9B\nP7dzdX3yW+VUPY/7oSP2MUDuUo+5W1DkTETQvklPAHD7A79ijGtJejttG3XzmG89JiIO9y9yDVmp\nn5SFa8dvxE2TrQv33H1vevx9oPO0CCQkWOsAOt8EJMXWQ2G/ZUZMGWDNWa/nz42LSkRGcmO3r58Y\nk4rIsGj0ajXE7TF1kXkG4o6ZT1keWzH6zhp/v8J+yyyX9LSEDLTM7GhZmKzfVDdOy3Fs1/hp1Ipe\nvbSbw4zkJl6nNQ0OCsFt05/AfQt3eZ0tqaS4FPfOfwGrCl2r5PZuPdTr873Q1LXOd1VqRLiz+P7h\nNfZa1XHv/Bf8fQq2qprVzXkG0GxgR9ckFPrI9KS+i2vsZiEuKrFG20p9Lwfn8nMH4565z+KmSQ/Z\nPh4TEWcZTNE6vlrnMy4q0XJsTV+XvEnlC7iOjOsSo1OMmRJ9vUFqXH3rQTYfPE3qtcS14zeid+uh\nqJeQaXzeK6UQFBSM5aPXGovV3S32HZE3ze35ju+9UPtCBIkxqdZoDg+cb5Rqi9867roTJyvSkB0/\neQw/HvseW1+7yxKXNnNAxaIi83RFdenT6QCQnd7a7XEi4jLK762Gqc1cQhK6Nu/n1Wi/t1YVbsHs\nQdegX1u7lPrnnqdV8XqKy6y05nh4yW5j/2xHmqxm9St+D33ajkBSjPXn3jgtx0g1qKelNNu44CU8\nsvTv53z0pLr0uEVAyx9sVhuhKCJiuajfPHkzbpxkza5zwpFhQH//utbhqg0J0cm26eQ2zH/RMp3a\nOqsrAC2vfGVhbUTnml3ohLe8DSOtTJtGeWhSz1qf0S7rjjecwzL1VI4AMKzrZJfj+7cbhZLiUqTE\npaNharMqZZNzVtOdsl6thrgdqNu24i0AQHBQMHq3HuY201tl+rQZbhkIysmouVCZvBb9cfW4e73K\nfueuPsG6Oc9geLdplpBf508Zu8+doKBgtGmUh5DgUNw9Zwc6ZmuDNXpmoNZZXTBr4FUoKS5FSHCY\ny/NLikvRy3ETM7LbdJfH9ZsJgWDjgpeMAoCV6d16GK6bUPuZ9PzWcddX237y7/eMfet2XIH5Gwbj\n+Xces1S9jHBMhyTH1jM6ETUdk+pcSMPT9Hp1Des6GTdMdF/S21fZ9VujoP0lmFuFNHu1we6PNCwk\n3DFbov3+lgy/FVHhsUY6rWDHSHxaQoZx0aqXkIkp/ZZiesFKI7ZwUKfxpvexjt6Yp8HOnKPqpdGm\nkY7qtJmcjPbGRdw5LjPJEeYVHmr/4bN89B24feaTXr+X/gE0d/D1WD/vOZQUlxrpzcyinUJiAqUo\nlzmbQ3XonZ/YyHgkxabh2vEbMWewlv6re45p8a6HqYhpBSuMWE3dRW3qTtVKqpm45UBQWR5rPfwg\nI7mJS8EhT2GU7tRLyMSt07bhFlN1ZH3G1VuZyU0BVAwGDek8CQDQI3eg2+fYufrS9bhzluf87pVZ\nNHwVChq6H6WtScFBIbhi7D3YWrQXHZr2tD/IiynQ0JAwZKY0NbYjbdbXVVX/dqMRJEFIMw2SRYRG\nITIs2uVYc4X526ZXhPWEh0YiSIKMkN9BncajXzvrAKS3CVRiIuIRb1NZvmfuQK9GzMfmz3VJCOLr\nmFloSJhXKUmry+8j7jve2mx8/cGX+2yP0e/SzYsjgx2dtpoKLfn824rEOJ2ye3sVa0327EZVmtVv\ngzmDrzX+EPT4tYToZCwdsRqtTDMQwUEheGjxbvRrOxI9cwdhcOcJaJqei3lDbkDnZhcB0H7vwU4d\nd3OIg/MotbdTXd7QpwcbJDVGqKmzHiRBxroKX5hjM0uKS11G3Juk5+LhJX9zW3Cja/N+HivjAtrC\n6YcW79bO03FjFRkejRTnaUkT50JfPVsOxG3Tn/D4PucT/eNCnx1LjElF/3aj8MTKdy2dIOcRoeF5\nFZkFhnSeaLR1nb5+R089V5m6GvZAgaWy4j8jTCOPzkkF7rpMW6o2uc8STL+4GACM/83aNe6Om6ds\nxuLhtxqphZum5yLYEVudHFsxO+VNgoI7ZmmjxZFh0fj95EcwrWA5SopLfSreBmjr4hp4CLH0RttG\neS7FlmpTx6b5HkOLLmozzLaiq52UuPoo7Fdk27H1lT7Crt9QTO5TkRyiXZMeWD76DpfnmCMWGqU1\nd/vaMy4udhnB97bjvnbWdtuwxR4tB+Lqce5rsegDbmPz5+Cacb4VwfMXv8e46zz9cvSRVPNK79Nn\nXBc3VkXTerku+4rHrMO8ITfgj3Ndi5OQZzdM3IQuzfq47Nd/u3bTjd1bDnAZrY6OiLV0vu+77mn0\nbWstB2BuMT1bDkLfNu7jS72pWOetq8fdi5unbMadlz1tieef0m+ZMTLVvEHFav6M5CaWOEu9wmhl\nzNPMUeExGNDhUjy6bA9KikuRHFsPsZHxKBqlpb3SP8j0ka0R3awjQ0ESjOiIWKydtR23z/B+dN4s\nJDi0Rhdw1hY9xr26QoJCUNhvGX7XtdCy3zljk37pGtpFm7LvluP+pr+g/SVIdUx76znl7ZjjWaPD\nK2Y+zmW14gtFTcYt+4s+Mm2WGK3FDOsL9+wsHXmbyzXE2YOXv1LR8RJgcKfxKCkuxWDT7Kf2kKBx\nvRw0b9AWPXMHWsJ1UuO1AQL976Zzsz5YMnK12/Mq7FdkfB0dHovs+q1dMqQM7TIZKy+5y/mptaqm\nri01ISo81m3WNmfr5z2HYV0nQ0SMNUuAlqbarE2jvEqTUEQ4jajrseljes5G0ag1Rjhsv7YjkZ5g\nHfy5bKDvoc7ehmjGRye5xPRXZlXhVmOgxVn7Jj0RH1X9G53aUBuVU3328/EfXfJG664Zt8FYXGoe\nHfSUdcYXv5/yCM6cPW2U7dZH8MNCwo2LDXnPXTpMvXczstt0ZNd3v57AFzdMfBD/O/UbAGDxCPtq\ndE+sfBcTb+9iXEycPbDoZbdtz50gCTLapD4NuWGBtnhZKYWYiHhcN+E+TL1TG5FYMfpOywXlxkmb\n8MK7jxup4exuZtbNfgZhIRFYsLHiQ9ec+efOy56GSJDLRTY1vgHumfssEqNTLBks9ItfZSPzZpVl\nYjifrZ21HeGhER5nJHQKWpjd1P5FeOHdbbZTxc0btMNn//kAAHBp/lyM7DbdJSNUVHiMUbnQnLYt\nLCQMjdNy8OV3h1A/Mcu2WjFVT2p8A/RoOcAl60ug6NFyAJ5yqlKdk9kB+w69bLn2lRSX4vSZU5iy\ntjuGdZ2C7jkXG4Nm7tq6Ob7c00j31uV73Y4Qp8SlG5+tORnt0bftcMRFuu9kJTo6gwDwkGktlNnU\n/kW2+8mzSX0X48h/v0BybD2X2Plrx2/EqicX4OCXb2H9vOex6D7rjUFkWLRLWLFOb2d68o25Q67H\nb/87blQKBoAujhlz39Te2ipP6TerMnt+rvg9xh0Adh/c6fY4fWHButnPGGESgLYIwLkscVWEBIdW\nKX6PvJfXogC922gXgCbpuRieN9Xn17CLW26Q1AiN6+XYHF1BRBAcFILYyHjc4qjyqmcbmtp/uU9x\n6T1bDnLZt2DY73G9ab2CiGDT4lcRFhKOyX200JboiFgj/aW2WCbUMiJul/UoPbEhkmJTsX7e87bn\nEh4a6dJpz0xuivioZKTFN0BoSBjumVPxdxVRhTY+rOsUPLLk7z4/z99qIsY9I7mJV512wDpbuHra\n47Y3RzdPeQRXjL0Hl+bPRVBQsG0th1unbbN9/aCgYDR2zL54GqX0Vc+Wg2pk6jwQLRlxqzFaW152\nArGRCShof0mlz3PO+FQXrJ/3PMbkz8HjK9+xpCVukdEeUeExGNdrHhYPrxjY0K95eho+ETGuS2YP\nLHrZktGqcVqOJaQRsGYQCwkO9SqE5abJD6Nr837ISm2GKX2XGvuHdZ1ijOJXdRFrbaup9TP+1K5x\ndwzpPNEIB95S9KYlO8zyUXfggUUvWyIcZg24CqsKt+CRpX/HxIsWuSQJCQ4KMWaSzYOqEWFRlhj7\nYB/XOACBk83sXPJ7jDsAS1EKZ2GO/JjpiQ0t09Px0UkY1Mk1DVRV1eZi1Atd0ag16N9u1Dl9zxDT\nhX/bircQERaFpulaWFReC62qbGJMSqXTguYParspu4ToZJdYcN3wblOxeekexEUluv1Au3HSJssN\nqTN3hUBsz3XWU5ZMSfqIeefsi6oU4hIkQS7x9uTK3HH3dCPZsWm+Ma3srLBfkZEJaYGpEJsuwrEw\n2V17NXeAnDnPAORmanG6F3cYY4RWeXLXZX8BoP0tPOxm9DPQ9Gg50OVvy5tMVOZOSG17YqV9fQKz\nPxQ+anwfQRJk6fAO7TIJDy/5G9ISMiw1TgAgPaEhWmVZO+Fp8Q0sgwhxUYno0rwi7HH19MfRJN0a\nWrpp8SuY2n+5bWaOyogIfpdXiKvH3YvQkHAU9luGixzhjl1b9PNpwT1VXVhIOJaNXIMrxmr9sIiw\nKGOGWO+gD+g41pgpb5Ke63KTu23FW0bMu92ghC40WLt+bSl6E4+vfMer83M3wn8h89ttbYcOHbDr\nZc/H9Gkz3OVCUVvWz30usKoPXmB8jS0c1rUQbd0sSE2KrYfiMevQrnH3Sm/YMlOaYmvRXtzy5MIq\nXUD0jnRMZLxLldux+XNd0qXVtFumPhZwqTGr61zHoVYnTealveYhSIIsKe30DlWDpEZGgR5P7zB3\n8PXo124kHtu9zvbxpSNvw61PLTK2l41ag+Mnj6FeQia++fFfALRwiF9O/GQck5XaDF99fxj1EjJR\nPykLf5z7nFehgw2SGtfZUJ7chp2RFJOKNz5+ybFHGwiqKzHufduOxO6DO4xtEUFKXH3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 9)\n", "plt.subplot(311)\n", "lw = 1\n", "center_trace = mcmc.trace(\"centers\")[:]\n", "\n", "# for pretty colors later in the book.\n", "colors = [\"#348ABD\", \"#A60628\"] \\\n", "if center_trace[-1, 0] > center_trace[-1, 1] \\\n", " else [\"#A60628\", \"#348ABD\"]\n", "\n", "plt.plot(center_trace[:, 0], label=\"trace of center 0\", c=colors[0], lw=lw)\n", "plt.plot(center_trace[:, 1], label=\"trace of center 1\", c=colors[1], lw=lw)\n", "plt.title(\"Traces of unknown parameters\")\n", "leg = plt.legend(loc=\"upper right\")\n", "leg.get_frame().set_alpha(0.7)\n", "\n", "plt.subplot(312)\n", "std_trace = mcmc.trace(\"stds\")[:]\n", "plt.plot(std_trace[:, 0], label=\"trace of standard deviation of cluster 0\",\n", " c=colors[0], lw=lw)\n", "plt.plot(std_trace[:, 1], label=\"trace of standard deviation of cluster 1\",\n", " c=colors[1], lw=lw)\n", "plt.legend(loc=\"upper left\")\n", "\n", "plt.subplot(313)\n", "p_trace = mcmc.trace(\"p\")[:]\n", "plt.plot(p_trace, label=\"$p$: frequency of assignment to cluster 0\",\n", " color=\"#467821\", lw=lw)\n", "plt.xlabel(\"Steps\")\n", "plt.ylim(0, 1)\n", "plt.legend();\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the following characteristics:\n", "\n", "1. The traces converges, not to a single point, but to a *distribution* of possible points. This is *convergence* in an MCMC algorithm.\n", "2. Inference using the first few thousand points is a bad idea, as they are unrelated to the final distribution we are interested in. Thus is it a good idea to discard those samples before using the samples for inference. We call this period before converge the *burn-in period*.\n", "3. The traces appear as a random \"walk\" around the space, that is, the paths exhibit correlation with previous positions. This is both good and bad. We will always have correlation between current positions and the previous positions, but too much of it means we are not exploring the space well. This will be detailed in the Diagnostics section later in this chapter.\n", "\n", "\n", "To achieve further convergence, we will perform more MCMC steps. Starting the MCMC again after it has already been called does not mean starting the entire algorithm over. In the pseudo-code algorithm of MCMC above, the only position that matters is the current position (new positions are investigated near the current position), implicitly stored in PyMC variables' value attribute. Thus it is fine to halt an MCMC algorithm and inspect its progress, with the intention of starting it up again later. The value attributes are not overwritten. \n", "\n", "We will sample the MCMC one hundred thousand more times and visualize the progress below:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 100000 of 100000 complete in 66.4 sec" ] } ], "source": [ "mcmc.sample(100000)\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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v0CWlNGvg82I0u9WKaO6hZmyNDcbvvDltcY2FaRfJ2HvE4bnFWTkUJJW/WnEl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5dJa+u33Tna+QHaQMrJ5ByKnwoa8ODX5iXcxCKUjvCvO80TgG8ZM8Cl80ghpsW29XlcqjW+D42e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\n9bnUSiQjCaOj+Uj1m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 4)\n", "center_trace = mcmc.trace(\"centers\", chain=1)[:]\n", "prev_center_trace = mcmc.trace(\"centers\", chain=0)[:]\n", "\n", "x = np.arange(50000)\n", "plt.plot(x, prev_center_trace[:, 0], label=\"previous trace of center 0\",\n", " lw=lw, alpha=0.4, c=colors[1])\n", "plt.plot(x, prev_center_trace[:, 1], label=\"previous trace of center 1\",\n", " lw=lw, alpha=0.4, c=colors[0])\n", "\n", "x = np.arange(50000, 150000)\n", "plt.plot(x, center_trace[:, 0], label=\"new trace of center 0\", lw=lw, c=\"#348ABD\")\n", "plt.plot(x, center_trace[:, 1], label=\"new trace of center 1\", lw=lw, c=\"#A60628\")\n", "\n", "plt.title(\"Traces of unknown center parameters\")\n", "leg = plt.legend(loc=\"upper right\")\n", "leg.get_frame().set_alpha(0.8)\n", "plt.xlabel(\"Steps\");\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trace method in the MCMC instance has a keyword argument chain, that indexes which call to sample you would like to be returned. (Often we need to call sample multiple times, and the ability to retrieve past samples is a useful procedure). The default for chain is -1, which will return the samples from the lastest call to sample.\n", "\n", "#### Cluster Investigation\n", "\n", "We have not forgotten our main challenge: identify the clusters. We have determined posterior distributions for our unknowns. We plot the posterior distributions of the center and standard deviation variables below:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3GmI+mabShKYnBbqo6iIAVV0IdPH+uwNzI/Hme7/dgXkR/3ner9ExqroBWCoi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\nPtiabv8vU5g6oX97DrzZkzc94FNTNf5gMO5zcCuwQNJMYANJRgrMbKW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(11.0, 4)\n", "std_trace = mcmc.trace(\"stds\")[:]\n", "\n", "_i = [1, 2, 3, 4]\n", "for i in range(2):\n", " plt.subplot(2, 2, _i[2 * i])\n", " plt.title(\"Posterior of center of cluster %d\" % i)\n", " plt.hist(center_trace[:, i], color=colors[i], bins=30,\n", " histtype=\"stepfilled\")\n", "\n", " plt.subplot(2, 2, _i[2 * i + 1])\n", " plt.title(\"Posterior of standard deviation of cluster %d\" % i)\n", " plt.hist(std_trace[:, i], color=colors[i], bins=30,\n", " histtype=\"stepfilled\")\n", " # plt.autoscale(tight=True)\n", "\n", "plt.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MCMC algorithm has proposed that the most likely centers of the two clusters are near 120 and 200 respectively. Similar inference can be applied to the standard deviation. \n", "\n", "We are also given the posterior distributions for the labels of the data point, which is present in mcmc.trace(\"assignment\"). Below is a visualization of this. The y-axis represents a subsample of the posterior labels for each data point. The x-axis are the sorted values of the data points. A red square is an assignment to cluster 1, and a blue square is an assignment to cluster 0. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tQi8RddWiKRRoWpqjaXkOhCBUW38mJb6k1ZC0Owk0lkjYHZQ0sqIWnr3zyDIs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A7FkWZKF+nzjFaPt6kVb1MbtTub1O2sozusM8/o9Hgb2/A2tRKsqSdYU4t7bxttJn3uID5mc7LS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\nMJKw2Mhpdecupi6LMpdFncsiCeXPV0FV3YbhpcERlgZv3493j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KUqVzA7Pgnj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dW8/ORsNX/TJ4t9fxbq+TtNg5aGnjwNvKVs8AB95W/NMP0KeTJG1O5sfuceD14Qpu49zfRXno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\nhAV3KtPZeY8cneZhyRm9S+21Zkp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib as mpl\n", "figsize(12.5, 4.5)\n", "plt.cmap = mpl.colors.ListedColormap(colors)\n", "plt.imshow(mcmc.trace(\"assignment\")[::400, np.argsort(data)],\n", " cmap=plt.cmap, aspect=.4, alpha=.9)\n", "plt.xticks(np.arange(0, data.shape[0], 40),\n", " [\"%.2f\" % s for s in np.sort(data)[::40]])\n", "plt.ylabel(\"posterior sample\")\n", "plt.xlabel(\"value of $i$th data point\")\n", "plt.title(\"Posterior labels of data points\");\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the above plot, it appears that the most uncertainty is between 150 and 170. The above plot slightly misrepresents things, as the x-axis is not a true scale (it displays the value of the $i$th sorted data point.) A more clear diagram is below, where we have estimated the *frequency* of each data point belonging to the labels 0 and 1. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rGkVfL6C+qBRT3wBA4i/GEkj0kAFU2VKNtj77NiknHk1oXLTPwB6gdls+dQVF\nfgN7gOznZ1O9LR93QwOli1ez9t5ZLLvuPvI//Z66nSU+dXet2cSCc6+nfKmVrlVfXMbKmx9k5zcL\n/dpVSimlDhSdOVvOa8AUIAkoAO4AQgFjjHnGU2cmMA1rKsxLjTFLArXVVbPlmKYmqjZvoyprG86w\nUKIGZxCRmuxXb+7cuc23XFqqzsmjalM2pslN1IA0Igek0VRTS9WmHGq3F+CKjyE6sz+hSfEdfTg0\nlFdQuWEr9UWlhCX3IGpwOq6YqJ/XbcymfmcJYb2SiBqcTn1JGdWbczDG+rAT1b/vbtvwqi0spmp9\nFg1lFUSkpRA1OJ2QqEjqikqo2rCV+pJyXAmxNDU04gwNxTRad0eiM/sTntIDgKbaOirWbaF6yzYc\nYaGE900mKqMvEuqielMONdt24IqPISKjL3UFRdTlFxHaI56owRmExsdStTWXqk05hMRFg9tQk5OH\nw+UiIr03UQPTaaqqpnJjNk3VtUT170vkwDRq84uo2rgVhysEHA7q8osIiYogtFcSNdt2eGbW6U/M\n0AGIw+E51iKqNm+zjikmirk/zOOw0WOJ7N+XxsoqmiqqaNhVRWhCHI6oCNzVNRhjaCgpJyQqEmdM\nJLU7dhKRloLD5bLu9LjdhPXuiTMqktrcfJxREUR7Yq9i7WYKv5pPSFgoxm2I7N+XXas2sOnvz4Ex\nhMRGM+rxv+GKj6Fmax4S4iRqcAauhFi2vfguua+8j7hc9DnzBGJHDyFm6CCKvlvI+rtmgu29YcTD\ntxKe0oOCT76jsaqa2BGDKV++lvyPviFx8qGMe+EBXNGRVKzbzMJfX0ND6c/PizijIhl082WsvWum\nT1xk3nYlVZuy2f72p36xmXnrFZT8uJzESWMw7iYaSnax/e1PaNxVyeGfPkddYQmLLr3N53mVvuec\nxPA7rsYVFwNA9svvsfrWh/3ajhqUzuHvzyI0ofOv3u/uvUEdXDQWlJ3Gg7Lbr2bLCZbu/g21+p9U\neXVGLJimJhp2VeGMCMcZHkp92S6qN+fQVFNLRFrvVqdqNcZQV1BEU3UtzuhIwnomIiJUrM+ieksO\nlZtywBhCeybgbmyics1mJNRF0dc/UrV5G7jdhMREMeGtR4m33Z2pWLOJHe/Pofj7RcSNG05kRl82\n/utFvwfSh/z1KuqLy8h66vWfC0VInj6FjEt+TdZzsyn47HsAwnv3ZOBV51M45wdSzzyB9TP+Tc12\n/xt7h79EHL1CAAAgAElEQVT/BInjrWchNjzyPJse8U8bcyXEcuSclwhP6dnuc72v9L1BeWksKDuN\nB2Wng3ulVNDVFZexa/ladq3djGloZPubH+NubGLcCw/QuKuC8hXrCUuKJ27MUJ9pMO2qcnaQNes1\nQqIi2PLkaz7rwnol0feckwiJi2bjI8/jrqkDIPMvv6dySy6moYG8/37hs40jPIxD/30PjdU1VK7f\nSmNlDXn//cLnWYCxT95Bn1Oth5B2fruQn867wa9f/S79NcPv+iOOkBC/dUoppVRX29fBvf51U0r5\nCUuKp+exhxM5oB/VWduIHz+K6EH9mq92e7/HYHci+yYT2b8vleu2MOiGS9nqeci4x1ET6HXcL1h3\n3yziRmYy9qm7yZr1OoQ4KflpFXGjM9kcYOpNd20dNXmFrH/4BWvK0cQ4+v/2DHZ+s5DShSsACO1h\npbPVlZYTnprM8PtvYO0djzU/CB/Rrw8Zl/xaB/ZKKaUOWPoXrgPo7TXltb/HQlRGKlEZe/d1E+Jw\nkHbOdEoWLKdwzg+Mf/EB6orLMMbgrqll5AM3U7p4NfVllRz60oNUbdnG3JN/T/whQzBN/t/9AFC3\ns7T5QVtjYNOs1xlyw6WULlpF4oRRRA1MJ3/OfNbOeIbKjVuJHzucQ196kMaKakIiQokZNijgczKd\nZX+PBxU8GgvKTuNBBZMO7pVSHcYVF03y8UfQ89jDMO4mqrfmkfvWJ+S8/hGuqEgyb76MXscdjism\nCmdEOBhD8fxl9JwykZ1f/ejTljidOFwhJE0+lJ5HT6A2vwhneCgh8TGM+/c9RKb3oXTxKhZfdWfz\nNmVLVrP0pgeZ9MIDxI/KRCmllDrQac69UqpTNdXVUbezFGdYKGE9E5vLG6trWHLVXRTOmc+w268i\n9+1PqFyfBVj59kP/ciVFC1cR0SuRrBd//hZlcYUw4dl7KV28hrKlq9npmWc/afKh9DpqAjX5RYT3\nTKDnlInEDR3Q5jnylVJKqa6gOfdKqf2KMyyMyL4pfuUhkREMu/0qavN3sm7GM6SdeyKpZ5xARGoy\n0YPSKF64koTRmax98Fmf7UxDIyv/8k8G/v4caj0P18aPG07M4AzWzPj5C7nW/fMlJr1wP72OHA9A\nQ2U1lVu20bCrkog+vYhO76MDf6WUUvu9zv4Sq4NCy6+TVgcvjYX2iRmczqTXHuHwt/9F75OPoff0\nKaSeOpXogem4a+uRkBCf+fe9arYX0FRdS9LhhwDQe9qRZL30nk8d09DI8lsfobawmOrcApbe8ne+\nO+UPzL/wFr458Qpy3vmchpoaKrdup3DuYooXr6a+bJffvvaFxoPy0lhQdhoPKpj0yr1SqlsJS4on\nrMWXuDnDw4gfM5TKLbkAhMREkThxFO76RkoWLAcRGqtrCUtKIGpAGk219YE/BOQWUFtYQsE3C9jx\n8XfN5e66ejY++TrOiDCW3/oPGqtqAEgcP4Kxf7+F6P59O/CIlVJKqeDRwX0H0CfelZfGQvAkHDoC\nR6iLwddfjDFQOHcJjlAXmTdcSmhiLI6QENbc8yR9z5pGZCsz/DjCQhGnw++qPkC/s6ex5PoZPjP1\nlCxazYaZrzLm/htwhrn2+Rg0HpSXxoKy03hQwaRpOUqp/YIzLJSYIf2pzMln/czXKF22juKFK1n9\n9+epLS6nbFM2A6+7mLhRmYgIcSP9Z8cZfNV5hPVMAPyfUzKNTQGn4Mx970tqdxR2xCEppZRSQaeD\n+w6guXPKS2MhuCo25ZD7/ld+5RueeJ2Q0DBW3fsUqx58lrgRgzl05u0MvOIsXHExRPTpxej7rif9\nwlMI75HIgMvOAEBCnCQdfgg9j54AzlbeDh0OjOz1pAU+NB6Ul8aCstN4UMGkaTlKqf1GXUl5wPKm\nmlrEMzivzS9ixxfzyLzqPIbfegUDLjsLcTkJT0porp92yrHgdoPTSeHcxTTW1BE7dCCOUBfu+gaf\nttPPnkZkn14dd1BKKaVUEOmV+w6guXPKS2MhuMJ7JQYsD4mJ9BmU53+1AHdjE+J0EpHSw2dg31hX\nR0NNLRIWyuqHnmPnD8soXrya5Xc8zuj7/0So7WHeXsdOYtCV5+Bw+V8HaWpooKnFB4E90XhQXhoL\nyk7jQQWTXrlXSu03YgakMeDSX7PlhXd9ygde+mty3vm8eTnhkKE4QvznrK/O38n6J98gLDGOTc/N\n9llXs2Mnqx58lsOfvw93XT0hEeFE9U/FFR3lU6+2qJSd85ex5bX/IQ5h4EWn0GPiaMIS44J4pEop\npdTe0Sv3HUBz55SXxkJwhURFkHn1eUx65k76nHQkaWccz8i/XUXRj8upybMeenWGh5F26tSA2+d+\n9A1Zr32EOISm6lq/9fUl5dQVldJj4mjiR2X6Dewba+rY8PRb/PSnByj+aSVFC1aw4Jp72fzy+7gb\n9nwVX+NBeWksKDuNBxVMeuVeKbVfCU+Kp/dxR9D7uCMAKF2xgfI1m6gtLCbx0OEMuPg04kYM8tuu\nZmcJm56zrvi7GxoJiY6ksbLav/1WUn8AKrNy2fTif/3K1z/1BqnTjyZucPreHpZSSikVFDq47wCa\nO6e8NBY6XsLoTMbOuIHGqmpCoiID5scD4Da4GxsB2Pb+Vwy85HTWz3zVp0r/C39F9IC0VvdVV1IW\n8MuxTGMT9aWBH/a103hQXhoLyk7jQQWTDu6VUt1aU0MDlVnbqdlZQlh8LDED+hISEe5Tx+EKITQ+\ndrfthPdKpP/5J7P+ideoziukaNEqRv7lSooXrcLd0ED6mSeQNH4krqjI1tvomYg4HX7z4TtCXYTZ\nHtpVSimluorm3HcAzZ1TXhoL+6ahooqNL7zHF6ddy/eX3s6Xp/+RZfc9Q01hcbvbEhEyzjyeXkeN\nB6BowQpWPfICaadOZeLMv5E67UjCe+x+gB7dvy9Drz7fr3z4jZcSnd5nj33QeFBeGgvKTuNBBZNe\nuVdKdVslKzaw8uEXfMqy3vqUpDFD6H/WCe1uLyqtNxP/eSsVW7bRUFFNZJ+eRKentp7K04Iz1MWA\ni08jfmQmOe99iTgd9DvtOJLGBp6dRymllOpsYgLkj3Z3c+bMMePGjevqbiilOtjiO2ay5fWP/crj\nhg3gmFcfwhXdegqNUkoptT9asmQJU6dO3euvRte0HKVUtyXOwFfDxeEA2ev3PaWUUuqApYP7DqC5\nc8pLY2Hf9D3+FwHLMy85DVdURCf3Zt9pPCgvjQVlp/GggkkH90qpbithVCZj77waZ3gYAOJ0kPm7\nM0ierGl5SimlVCCac6+U6taM201ldh61RaWExsUQnZGKM9TV1d1SSimlOsS+5tzrbDlKqW5NHA5i\n+vclpn/fru6KUkop1e1pWk4H0Nw55aWxoOw0HpSXxoKy03hQwaSDe6WUUkoppQ4QmnOvlFJ70FhX\nT21RGQ5XCJG9Eru6O0oppQ5gmnOvlFLt1FhXT01BMeJ0EJnSA0cr8+kDlG3KYdVTb7Pty/mExkYz\n8vdnk37CL3BFRVJbXoErMoLQGP0yLaWUUt2DDu47wNy5c5k8eXJXd0N1AxoL3U/5llxWznqLnC/m\n43CFkHn+iQw550Si+vT0q1uZV8jXV91DTX4xAHWlu1g1602iUnuy5f1vyF+wgpiMPoy5+jyi+yZT\nuS0fR4iT2IxUIpOT/NrTeFBeGgvKTuNBBZMO7pVSB42aolK+v+lhyjdtA6Cprp61L7xPfXkl42/7\nHSFhoT71yzfmNA/svYZeehrzbn2UxqoaAEpWbuLr39/D+FsvY/HDL2Iam4hITmTKY7eROGxA5xyY\nUkop5aEP1HYA/fStvDQWupfyLbnNA3u7Le99TeW2fL/yhspqn+XQuGjqSnY1D+ztsj//gd6HjwGg\npqCE+bc/TnnWdmqKSpvraDwoL40FZafxoIJJB/dKqYNGY3VdwHLjdtNYW+9XHp2W4rMclhBLzc6S\ngG1U5e0kokdC83LZxhyyv5jPx+ffStYnc6kP8IFAKaWUCjYd3HcAna9WeWksdC/Rack4QvyzEaNS\nexGV0sOvPG5gGqP+cG7zctX2QuIGpQVsO3n8CIpXbWpeFqcDEaG6sIS5tz1KwaLVGg+qmcaCstN4\nUMGkOfdKqYNGbL/eTLrrKubfPhM80wA7w0M5/J5riOgR71ffFRXBkItOJvmwUZRvzMEVHUnsgL7k\nL1hFwcKVzfXCe8STMCSD7d8vZvTV54LTCSJEJMXR69DhFC5ew+oX3yf8gimddahKKaUOUp06z72I\nTAP+hXXH4DljzIMt1scCrwD9ACfwiDHmxZbt6Dz3Sqm91VTfQPnmbZRv2Y7D5SR+YBpxAwNfjW9N\nVUExJas2kb9wJWEJsSQOH8iKWW8y8LRjWTrzdRoqf07BGXreicSk96Z+VzWNtXUkDetP0shBRAe4\nU6CUUkrtN/Pci4gDmAlMBfKAn0TkfWPMOlu1q4HVxphTRKQHsF5EXjHGNHZWP5VSBzZnqIvEYQP2\naSabqOQkcBsWPvwSdSXlAIy77nw2f/CNz8AeYN3rnzD+5ktY9uSbzWWJIwYy5aHrie7Ta6/7oJRS\nSgXSmTn3E4GNxphsY0wD8AZwaos6Bojx/B4DFO+PA3vNnVNeGgsHLldMJFEpSTTV1dNUV09dRTXF\na7YErFtfUQXAxlrrYdyS1ZspWLS20/qquh99b1B2Gg8qmDpzcJ8K2Oegy/WU2c0EhotIHrAcuK6T\n+qaUUu0SGh3J2GvPR0Ksb7d1NzQSEhEWsK7D5X+TNPf7xR3aP6WUUgen7jZbzgnAUmNMH2As8ISI\nRHdxn9pN56tVXhoLB7aeYzKZ9uK9DLtgOtUFxQw9/yS/OhE9E2jwTIM5ODyxuTx+UL9O66fqfvS9\nQdlpPKhg6szZcrZjPSjr1ddTZncpMAPAGLNZRLKAocAie6XZs2fz7LPP0q+f1VxcXByjRo1q/s/h\nvb2ly7qsy7rcUcuHjZ9gfcNt6Q7k8EFMnjyZmqJSVhfmkvXRd2QQSb9jJ7JrRG8++NcrDHBYGYcb\na0twhro4+ehDu9Xx6LIu67Iu63LXLHt/z8nJAWD8+PFMnTqVvdVps+WIiBNYj/VA7Q5gIXCeMWat\nrc4TQKEx5i4RScYa1I8xxvh8a0x3ny1n7ty5zS+cOrhpLBx4GmvrKFi+gZUvfUjljiL6/3ISA6cf\nSXxGn+Y6VQXFuBsaieiZgDgc7Fy+nmVPzWbh0kUcedRRjLzsdHqOHNSFR6G6mr43KDuNB2W338yW\nY4xpEpFrgM/5eSrMtSJypbXaPAPcC7woIis8m93ScmCvlFJdKe+n1cy54ZHm5RUvfkDWF/M54cm/\nEOOZ/SYqOclnm5TxI5j62ABC5nzNkcf9kpDw0E7ts1JKqYNHp85zHyzd/cq9UurAVFteySeX30VZ\nVp7fumMevI6MYyd2Qa+UUkodSPb1yn13e6BWKaW6rcbqWspz8gOuqyoo7uTeKKWUUv50cN8B7A9I\nqIObxsKBJSw2iuSxQwKui8toObOvP40H5aWxoOw0HlQw6eBeKaXayBUVwbirzsYZ5vIpTz18NImD\ndWpLpZRSXU9z7pVSqh2MMZRsyCZ3/nIqcgvpe/hoeo4aTFSvxD1vrJRSSu3BfjNbjlJKHQhEhKQh\nGSQNyejqriillFJ+NC2nA2junPLSWFB2Gg/KS2NB2Wk8qGDSwb1SSimllFIHCM25V0oppZRSqpvQ\nee6VUkoppZRSgA7uO4TmzikvjQVlp/GgvDQWlJ3GgwomHdwrpZRSSil1gNCce6WUUkoppboJzblX\nSimllFJKATq47xCaO6e8NBaUncaD8tJYUHYaDyqYdHCvlFJKKaXUAUJz7pVSSimllOomNOdeKaWU\nUkopBejgvkNo7pzy0lhQdhoPyktjQdlpPKhg0sG9UkoppZRSBwjNuVdKKaWUUqqb0Jx7pZRSSiml\nFKCD+w6huXPKS2NB2dnjobaimtyl61n48seseO8bdm7chnG7u7B3qjPpe4Oy03hQwRTS1R1QSqmD\nTX1NLUve/ILFr3/WXOYIcXLKA9eQNnZIF/ZMKaXU/k6v3HeAyZMnd3UXVDehsaDsvPFQmp3vM7AH\ncDc28fW/Xqe6dJffdg219dRWVndKH1Xn0PcGZafxoIJJr9wrpVQn25VfHLC8PLeQ6tIKIhNiAaiv\nqmH7ys0sfvtLasoqGHbcYQw66hDi+/TszO4qpZTaj+iV+w6guXPKS2NB2XnjISwmMuB6V2Q4rvCw\n5uXN81fy4d+eIm/FJkpzCvjhuff57P4XqSwu75T+qo6j7w3KTuNBBZMO7pVSqpMlZfQhaUCqX/nE\ni04ktncSAJU7y5j3zH/96hSsz6Zk644O76NSSqn9k6bldADNnVNeGgvKzhsPUUlxnPh/v2P1x/NY\n+9mPhEVFMOHCaWRMGoWINbVxfXUt1aUVAdupLgtcrvYf+t6g7DQeVDDp4F4ppbpAQloyR1x+GmPP\nnIojxElEXLTP+vC4KOJSe1G+vdBv25ieCZ3VTaWUUvsZTcvpAJo7p7w0FpRdy3gQh4OopDi/gT1A\nZHwMU645C3H4vk0PmTqBxIzeHdpP1fH0vUHZaTyoYNIr90op1U2ljc3krEdvIGv+SiqLyhh4xBhS\nhmYQERvV1V1TSinVTYkxpqv70G5z5swx48aN6+puKKWUUkopFVRLlixh6tSpsrfba1qOUkoppZRS\nBwgd3HcAzZ1TXhoLyk7jQXlpLCg7jQcVTDq4V0oppZRS6gDR5px7EUkyxgT+zvROpjn3SimllFLq\nQNSZOfc5IvK+iJwpIqF7u0OllFJKKaVUx2jP4D4DmAP8GcgXkWdEpF1fqSYi00RknYhsEJE/t1Jn\niogsFZFVIvJ1e9rvLjR3TnlpLCg7jQflpbGg7DQeVDC1eXBvjNlpjHnMGDMBOBwoBP4jIltE5G4R\nSd/d9iLiAGYCJwAjgPNEZGiLOnHAE8DJxpiRwFntOxyllFJKKaUOXnv7QG2K5ycW2AykAktF5Nbd\nbDMR2GiMyTbGNABvAKe2qHM+8I4xZjuAMaZoL/vXpSZPbtcNDXUA01hQdhoPyktjQdlpPKhgavPg\nXkRGiMgMEckGZgEbgTHGmOOMMZcB44C/7KaJVGCbbTnXU2aXCSSKyNci8pOIXNTW/imllFJKKXWw\nC2lH3e+A14GzjDELW640xmwVkX8FoT/jgGOBKGC+iMw3xmyyV5o9ezbPPvss/fr1AyAuLo5Ro0Y1\nf/L15q511fKsWbO6VX90ueuW7XmU3aE/urz/xMNhkw6jYPN23n/jXepr6jjl7NNJGdyXJSuWdpvj\n0eW9X/aWdZf+6LLGgy537es/d+5ccnJyABg/fjxTp05lb7VnKsyjjDHfBSifGGiwH6DeYcCdxphp\nnuVbAWOMedBW589AuDHmLs/ys8Anxph37G1196kw586d2/zCqYObxoKya088bFywmnfv/w/Y3qMn\nnHYUk8/7JaERYR3VRdVJ9L1B2Wk8KLvOnArzo1bKP23j9j8Bg0Qk3TOV5rnABy3qvA9MFhGniEQC\nk4C17ehjt6D/QZWXxoKya2s8VBSV8/ms//oM7AHKd5ayfV0OmxevZ2dOAU0NjR3RTdUJ9L1B2Wk8\nqGAK2VMFzyw3Yv0q4vndayDQpr8uxpgmEbkG+BzrQ8Vzxpi1InKltdo8Y4xZJyKfASuAJuAZY8ya\n9h2SUkrt36rKK6ksqSA0MhyA+upaJp0xhR2bcnnzrucBcDgdTP3tdEYeeyhheiVfKaWUR1uu3DcC\n9UCk5/cG288a4Mm27swY86kxZogxZrAx5gFP2dPGmGdsdR42xowwxow2xjzejmPpNuw5VOrgprGg\n7NoaD2GRYRxz2cmMmTaJMdMmMfXKU3FFhJG9cktzHXeTmy/+/SGFWTs6qruqA+l7g7LTeFDBtMcr\n90B/rKv13wJH2coNsNMYU9MRHVNKqYORcbvZvn4bc1785OdCEaZceDyxvRLYVVjqU3/b6i2kDc/o\n3E4qpZTqttr8QG130t0fqFVKqb1VnFfECzc8TkNdg0+5KzyUSadMZv7srxlz/ERiesThbnLTKz2F\ngeMycbracq1GKaVUd7evD9Tu9q+BiDxjjLnC8/vLrdUzxly8tx1QSin1s4qicr+BPUBDbT0iwtEX\nT2Ppl4sp3m59x5/D6eCkq05l+OTRuEJdnd1dpZRS3cyecu6zbL9v3s2PstHcOeWlsaDs2hIPYVHh\nra5LGZRKzprs5oE9WLn3H838L0Xbdgalj6pz6HuDstN4UMG02yv3xpgZtt/v6vjuKKXUwS2xTw+G\nHTGKtfNW+pQPP3I08SmJbFy8IeB2RbkF9B7YpzO6qJRSqhvbU1rOsW1pxBjzVXC6c2DQ+WqVl8aC\nsmtLPIRFhHHMxdPo2S+ZRR/PB2D89F8wcspYjDGEuJw01Ln9tnOGaM79/kTfG5SdxoMKpj39NXiu\nDW0YYEAQ+qKUUgqI65XAEWcfy5hfjgcgOjEWsGbSmXjyL5j3zrc+9UNCXfTsl9zp/VRKKdX97Dbn\n3hjTvw0/OrBvQXPnlJfGgrJrbzxEJ8YSnRhLU2MTDfUNiMPB2OMnMO6ECYjDevuO65XAubdfTI++\nPTuiy6qD6HuDstN4UMGk93GVUqqbaqhrIHfjNhZ+spCKkl2MOmoMmeMyOe630xl/0uE01NUTmxRH\ndEJM8zZVu6ooyt1J1a5qYpNi6ZHag/DI1h/SVUopdWDZ7Tz3IrLWGDPM8/s2rBQcP8aYfh3TvcB0\nnnul1MFg3cK1vPXwmz5lfTP7ctaN5xBjG9B7le0s5aOnP2TLip+/yXbCtIkcdcZRRMVFd3h/lVJK\n7bsOneceuNz2+4V7uxOllFLtU1lWyWcvfeZXnrshl8KcgoCD+3UL1/kM7AF++nQhA8cMJPPQIR3W\nV6WUUt3HnnLu59p+/7a1n47v5v5Fc+eUl8aCsmtPPNRV11K+syzgusrySr+y2upals5ZErD+2oVr\n27xf1Tn0vUHZaTyoYNrTl1g1E5FQEblbRDaKSJXn33tERJM5lVIqyMKjI0jsnRhwXWxCrF+Z0+kg\nLDIsYP3ImMig9k0ppVT31ebBPTALOBb4IzDB8+8U4Mngd2v/pvPVKi+NBWXXnniIio1i2iUnIuKb\ndjnokEH06tfLr74rLJTDf3WEf0MiDJ0wtN19VR1L3xuUncaDCqb2zJZzGjDQGOO9T7xGRBYAm4Df\nBr1nSil1kOs/qj+X3P1bVs1dQWlhGaMmj6Lf8PRWH47NGJHBtN+eyNevf0VdTR3R8dGc+Lvp9B6g\n31yrlFIHi/YM7vOBSMCeBBoB7Ahqjw4Ac+fO1U/hCtBYUL7aGw/OkBDShqSRNiTNb11tdS2FuTsp\nyS8lLCKM5H69SExOYOK0SQwel0ltVS1RsVHEJvmn8Kiup+8Nyk7jQQXTbgf3InKsbfE/wKci8jiQ\nC6QBVwMvd1z3lFJKtVRbXcu8j37ku/fmNZdFxUZy8W3nk5KeTEKvhC7snVJKqa60p3nus9rQhuns\nb6nVee6VUgez7PXbeP4u/+sqQ8dncsbVpxIaFtoFvVJKKRUMHTrPvTGm/942rJRSqmMUbS8KWL5+\n8QaqyqsI7aWDe6WUOli1Z7Yc1UY6X63y0lhQdsGKh/CowDMQR0RH4Axpz6NUqqvoe4Oy03hQwdTm\nvwIiEgvcCRwN9ACabxcYY/oFvWdKKaUCSu7Xi4iocGqqan3KjznzKGIT/b+5Viml1MFjtzn3PhVF\nXgH6Av8EXgEuBG4G3jHG/LPDehiA5twrpQ52eVk7+PL1r9i8aisR0RFM+fWRjPzFcKJjo7q6a0op\npfZBh+bct3A8MMwYUywiTcaY90VkEfAh1oBfKaVUJ+nTvzfn/OlMKsurCHGFEKdTXiqllKJ9OfcO\noNzze6WIxGHNcT8o6L3az2nunPLSWFB2wY6HsIgwklIS/Qb2bnfb7siqrqPvDcpO40EFU3uu3C/H\nyrefA3wPPAlUAhs6oF9KKaXaqaSwjA0rs1j103p69kli3BEj6JORgtOpcycopdTBoj059wM89TeL\nSC9gBhAN3GWMWdOBffSjOfdKqYNVdWUNVZU1hIWHEhsf3VxeVryLVx59j7zsguYyh9PBZbecTf+h\n/t9wq5RSqnvqtJx7Y8wW2++FwGV7u1OllFLt43a7yVqfy0evfkV+bhGxCdGcdO4Uho4eQFhEKHnZ\nBT4DewB3k5vPZ3/Hb248k/CIsC7quVJKqc7Urnu1IvJbEflCRFZ7/r1MRPb6k8WBSnPnlJfGgrLb\nl3jIyy7k+Ydnk59rfYHVrtJK3pj1EVs35AKwM68k4HbbtxZQuL1Y8/C7GX1vUHYaDyqY2jy4F5GH\ngD8D72JNgfkucBPwYMd0TSmllNf65VtwN7n9yr/9eCH1dQ306J0QcLvkvj2Z98Vidmwr7OguKqWU\n6gbac+X+EmCqMWaWMeZjY8wsrOkxL+2Qnu3HJk+e3NVdUN2ExoKy25d4KCupCFheUVZFY2Mjqekp\nJKf18FnncAjjJo9g9eKNbFqTvdf7VsGn7w3KTuNBBVN7Zsup8Py0LNsVvO4opZQKZOiYASz6bqVP\nWZ/0ZI751WEUF5QTGx/Fub//FUt/WMPW9duITYwhI7MvP3y5hKYmN7ta+XCglFLqwLLbK/ciMsD7\nA/wLeFdEjhORYSJyPPA2+gVWfjR3TnlpLCi7fYmHtIG9GT1xaPPy+KNH0WdACq898zEz73udx+99\nnYqKakLDXYRFhlJcWMqHr31FUUEZAINHZuxr91UQ6XuDstN4UMG0pyv3mwAD2B+aPaZFnWOBmcHs\nlFJKKV+x8dGcctGxTDxmNFUVNZQU7+KT2T8PCCrKq3jun//ldzecztL5ayjKL21eN/YXw0ntn9IV\n3VZKKdXJ2jzPfXei89wrpQ5mFeVVPHr3q1SUVfmtO+akCbjdbiIiw2hqbMIV6iIjM5X0gX26oKdK\nKWbB4nkAACAASURBVKXaq9PmufcSkX5AKpBrjNm2tztWSim1d9xuN40NjQHXNTY2sWLRenqkJNHY\n0EjO5h1MOnqUDu6VUuog0Z6pMHuLyLdYqTrvAptF5DsR0b8YLWjunPLSWFB2wYqHmLhoJh45KuC6\nfgN7M/7I0TS5DWER4Zx41pFEx0YGZb8qePS9QdlpPKhgas9UmLOA5UCCMaY3kAAsBZ7qiI4ppZQK\nzOEQJh49ivRBvX3KzrrsBJb+tJEvPlrIlo15rFudzUez5xERFdGFvVVKKdWZ2pxzLyJFQG9jTIOt\nLAzYbozp0fqWPm1Mw5p1xwE8Z4wJ+AVYIjLh/9u77/g4qzPR478zvWnUe3ORey/YxhgMOKF3QiAd\nkmzYZFO23SW7d3dT7paUm7Zhk01CliW5EHoCCZhmqsC928LdsnovM9L0mXP/mJE8kkbGRc3S8/18\n9PG85y1zZvT41TNnzvu8wHvA3VrrZwevlzn3QggBPV4fLY0dBHxBMrPd9PoC/OIHvx+ync1u4S//\n8WNk56aPQy+FEEKci7Gcc98JzCc+et9nDtB1NjsrpQzEq+psABqA7Uqp57TWh1Js9x3g5XPomxBC\nTDmuNAeutNNTbvbvPp5yu4A/hK83IMm9EEJMAecyLed7wGtKqe8opb6olPoO8Gqi/WysAo5qrU8l\nRv8fB25Nsd1XgKeBi/Ze6TJ3TvSRWBDJRjse3Omp59bbHVacTtuoPrc4N3JuEMkkHsRIOuvkXmv9\nK+BuIAe4OfHvx7XWvzzLQxQDydV16hJt/RIX596mtf45A2vrCyGE+AB5BZmsvHTekPab77qcLBm1\nF0KIKeGspuUopYzAfwNf0Fq/Por9+THwQPJTp9ro6aef5qGHHqKsrAyA9PR0Fi1axLp164DTn4DH\na7mvbaL0R5bHb3ndunUTqj+yPLnjwe6wkVEIC1blEvLasDtsmJw+eoLNxGdVTqz3Q5ZlWZZlWZbp\nf1xTUwPAypUr2bBhA+frXC6obQTKki+oPacnUmoN8E2t9XWJ5a8DOvmiWqXUib6HxL8Z6CX+geL5\n5GPJBbVCCHFmsZjGYJAvQIUQ4mJzoRfUnsuc+x8B31JKmc/zubYDFUqpcqWUBbgHGJC0a61nJH6m\nE593/6XBif3FIPmTmJjaJBZEsrGMB0nsJzY5N4hkEg9iJJnOYduvAAXAXyulWgFNfIRda63LPmhn\nrXVUKfVl4BVOl8J8Xyl1f+IYg+fun91XCkIIIYQQQgjg3KblrB9undb6rRHr0VmQaTlCCCGEEGIy\nGstpOZuJ16h/CHgx8e+HgK3n++RCCCGEEEKIkXMuyf3PgauBrwKXJP69EvjZyHfr4iZz50QfiQWR\nTOJB9JFYEMkkHsRIOpc597cBM7XWfXekrVJKbQWOAZ8d8Z4JIYQQQgghzsm5jNw3AYNvf2gHGkeu\nO5NDX/1SISQWRDKJB9FHYkEkk3gQI+lcRu5/C7yklPop8bvLlgJ/AfxGKXV130ajfJMrIYQQZ8nb\nE6CttZtYTGO1mamrayMYiJBfkEFRYSZu9+DxGiGEEBe7c0nu70/8+w+D2v888QPx8pUzLrRTF7vK\nykr5FC4AiQUx0FjGQ31DB4888gaNTZ0AZGenseGqRTz/x+2EQhFuumklSxaXU1CQSSgUoam5i9ZW\nDzabmaLCTDIzXWPSz6lKzg0imcSDGElnndwnbiwlhBBiguvp8fOb37zZn9gDtLd7eeW1vaxdO4c3\n3zzISy/twuGw4HBY2bbjOH94blv/tllZLr74hWsoLMwcj+4LIYS4AOcy516cJfn0LfpILIhkYxUP\nbW1eGho7hrR3dfXidNoAiERi9HgD1Dd0DEjsATo6etj48m7C4ciY9HcqknODSCbxIEaSJPdCCDHJ\n6LO8wbfJZKCtzZNy3e491Xg8/pHslhBCiDEgyf0okHq1oo/Egkg2VvGQk+0mPz99SLvbbcfvDwEw\nrTyPjCwXNoeVG25Yzq23XMKCBaWkux0sWljGnNmFGIzyJ2K0yLlBJJN4ECPpXC6oFUIIcRFIS7Nz\n76ev4qH/3kR7uxeA9HQH1127jBdf3Mkll1SwfPkM/vDCThqb4rcuUUrxiY+upag4m6rDDWRlOmhu\n6cbbGyAUDONOc5CT7cJgkIRfCCEmMqX12X19O5Fs2rRJL1++fLy7IYQQE5rH46OlpRsN5GSnEQqF\n8flCmM1Gduyp5tXX9/dve9X6BVQdqqOp+fQ0HaXg43et5e33DlNWms2KxdOYOTMfs8k4Dq9GCCGm\nhl27drFhwwZ1vvvLyL0QQkxSbrcjZS17j9fH9l0n+peVgjSXbUBiD6A1vP5WFWWl2by75QgH36/j\nC/dexbSy3FHvuxBCiPMj36+OApk7J/pILIhkEyUeTCYTLoelf9lsNuFLzMUfrKmli+yseM37rm4f\nNbXtY9LHyW6ixIKYGCQexEiS5F4IIaYYh93CtR9a0r8cCkVw2C0pty0pzqa5pbt/ubU9dXUdIYQQ\nE4Mk96NA6tWKPhILItlEioe5s4v4+EfX4nRagXiCP2N63oBtDAbFpasq2HOgpr+ttDh7TPs5WU2k\nWBDjT+JBjCSZcy+EEFOQw2HlsjVzmD+3hGAwjMtpY+3q2Rw93sSuPdVkZ6eRl5vG629VEY3GACgt\nzqJiev4491wIIcSZSHI/CiorK+VTuAAkFsRAEzEeMjOc/Y9dQHZWBWsuqQCgpraN3t4gDc1dLJhT\nzNzZhWQl5t+LCzMRY0GMH4kHMZIkuRdCCJFSWWkOZaU5490NIYQQ50Dq3AshhDgjfyBEY4uHzi4f\nLqeVovx00ly2/vWxWIxubwCjQeFOs49jT4UQ4uInde6FEEKMGm9vgBdfP8imysP9bbOm53LvRy8l\nN8tFc5uXN7cc4d0dJ7BaTFx35XxWLiojXZJ8IYQYF1ItZxRIvVrRR2JBJLsY46G6tmNAYg9w9GQr\nu/bX4O3x86vfvctrlYfxB8J0efw8/vxOXt98pP8iXJHaxRgLYvRIPIiRJMm9EEKIYe0/VJ+y/Z2t\nx2nt6OVUfceQda+8/T6tHT2j3TUhhBApSHI/CuSKd9FHYkEkuxjjwemwpmy3282EwtGU6yKRGMFg\nZDS7ddG7GGNBjB6JBzGSJLkXQggxrEVzi1Bq6HVd166fj9NhJsUqsjIcpLttQ1cIIYQYdZLcjwKZ\nOyf6SCyIZBdjPJQVZfKlz1xORnr8Alm7zczdN69gbkU++Tlu7rhu6YDtjUYDn75zNRlux3h096Jx\nMcaCGD0SD2IkSbUcIYQQwzKZjCyZV0J5URbe3iA2m4ncrLT+9etXz2JmeQ4natqxWUxML8uhpCBj\nHHsshBBTm9S5F0IIMSK01jS1eWlq68GgoDDPTZ7c0VYIIc6J1LkXQggxIRw81syDj73Xf6Gt027m\na59aR0WZ3OVWCCHGisy5HwUyd070kVgQySZzPLS09/DzxzcPqKDT6w/ziye30u31j2PPJqbJHAvi\n3Ek8iJEkyb0QQogL1tLRgz9F+cv2Lh+tnb3j0CMhhJiaJLkfBVKvVvSRWBDJJnM8mExD/5woBYvn\nFIJStHT0EItdfNd4jZbJHAvi3Ek8iJEkc+6FEEKcF09vkKOn2nhzZzXL5hSQn+2iuT1+Z1qL2chH\nrl3M9qoG/s+v3sJsMvCh1TP58OqZZGdImUwhhBgtMnI/CmTunOgjsSCSTYZ4iMU0NY1dbD9Yz6Zt\nJ6hp9rB6UQmb99Vx9ZoKZpfHL57dcGkFf6o8yqHqNgDCkRgb3z3KxveOEonGxvMlTAiTIRbEyJF4\nECNJRu6FEEKcteN1HRypbeep1w6SXEn5zqvn8cauU0wrSOd/X7uIzp4gf6o8NmT/17ef4EOrZlCQ\nkzZknRBCiAsnI/ejQObOiT4SCyLZxR4PPb4QR2vaeaHyCINvkfLcW4dZs7CEd/fWYjQZh6zvE41q\nwhEZub/YY0GMLIkHMZLGNLlXSl2nlDqklDqilHogxfqPK6X2Jn4qlVKLxrJ/QgghhtfjCxKKROn1\nh4esi0RjxLTGYTPjtFsoyHahUtyCZVphOpnp9jHorRBCTE1jltwrpQzAg8C1wALgY0qpuYM2OwFc\nobVeAvwL8Kux6t9Ikrlzoo/Egkh2sceDzWLGajGlTNoBTAYD91y7kNxMJwU5Lj576/IB2zpsZj5z\n8zJcdsvYdHgCu9hjQYwsiQcxksZyzv0q4KjW+hSAUupx4FbgUN8GWustSdtvAYrHsH9CCCHOIMNt\nozDbxeoFJWw5UDdg3YIZucwuz6a0IB0As8nIpYtKKS/MoLHNi8VkpDjPTX62azy6LoQQU8ZYJvfF\nQG3Sch3xhH84nwc2jmqPRonMnRN9JBZEsskQD3Om5WCzmMjOcPDu3hqi0RhXrpjGFcumkZflHLCt\n2WykvDCD8sKMMx6z3eOntdOHyWSgIMs5JUb2J0MsiJEj8SBG0oSslqOUugq4D5BoF0KICcRuNTN3\nei7TijK4ank5JpOBjDQ7KjH/JhSOYjQojMazm/V56FQ7P312J109QQAqijO4/5alFEk1HSGEOC9j\nmdzXA2VJyyWJtgGUUouBXwLXaa07Ux3o6aef5qGHHqKsLH649PR0Fi1a1P/Jt2/u2ngt//znP59Q\n/ZHl8VtOnkc5EfojyxIPI7lss5r7l+csXM7e4y089syLOG1mvvDJ25hVksmObVuG3b+po4cHvvc/\nBMNRskvnAbB1y2baag/xg7+/D5vFNKFe70gu97VNlP7IssSDLI/v77+yspKamhoAVq5cyYYNGzhf\nSg9Xr2yEKaWMwGFgA9AIbAM+prV+P2mbMmAT8KlB8+8H2LRpk16+fPko9/j8VVZW9v/ixNQmsSCS\nTdZ46O4J8uAfdlFV3T6g/Uu3LeOyhacvnWrp8lHf5iUciVGQ5aS7J8B3Ht2a8pjfuX89pXnuUe33\neJqssSDOj8SDSLZr1y42bNgwTOmCD2Yayc6cidY6qpT6MvAK8So9v9Zav6+Uuj++Wv8S+CcgC/iZ\nin/HG9Zan2le/oQk/0FFH4kFkWyyxkNtq3dIYg/w6KtVzCvLIstt52RjF999fDseXwgAo0Hx2esX\nUpDtpKm9d6y7PO4mayyI8yPxIEbSmCX3AFrrl4A5g9p+kfT4z4A/G8s+CSGEuDDe3mDK9u7eID3+\nMF5/iF+/eKA/sQeIxjR7j7dy15XzqG/zooB39tXS0ulj4fQccqUWvhBCnBe5Q+0oSJ5DJaY2iQWR\nbLLGQ6bblrI9223D4wuy80gLJ5q6B6y7Ze1MegNhfvKH3TxdeYzntpxg3ZIyVs0r5NPXLsRmNY9F\n18fNZI0FcX4kHsRIkuReCCHEBSnOSWP1vMIBbQr45IcX8LM/7kMDhqS7WeVnOujxhzlwqqO/LRSJ\n8fQ7R7lyeTnd/hDtHv8Y9V4IISaXMbugdiRN9AtqhRBiqun0BjhU28F7++vJcttYm7iQ9pu/3cKs\nogyy3Ta2vt8IwPWrpvPW/np6A+Ehx7l5zQxe2V2LzWzia7cvYV5p1pi+DiGEGG8XekGtjNwLIYS4\nYJlpNi6dX8Tf3H0J912/iDmlWZgSte6PNnSRn+lgzfxCDEolRvKHOZACraGrN8j3n9pFc6dvzF6D\nEEJMBpLcjwKZOyf6SCyIZFMtHgqznCybmQvAc5tP0Nbt50u3LmXR9BzWLykdsr0CXDYLwXAUAF8w\nQkPH5KykM9ViQZyZxIMYSZLcCyGEGBUOm5l7r13ATWtmYDUbyUl3UPl+E995ejfRGKyYnX96W6uJ\nu6+cw9sHhtzbUAghxDmQOfdCCCFGVUxrOr0Bmrv8fOux7f3ti6dlMb8sC6fVREzD81tO0OE9XVbT\nYTXx7/ddSn6mczy6LYQQ4+KiuYmVEEKIqcmgFNluOzWtPQPa91V3sK+6A4NS/O2dS0mzm/uT+3Sn\nha/cskQSeyGEOEcyLWcUyNw50UdiQSSb6vGQnWYbUBKzv91tBeAz1yzgSzcv5q4rZrF2YTG/qzxG\nfdLda6OxGB3eAB7/0Co7F5upHgtiIIkHMZJk5F4IIcSYKMxycM/6Ch5782h/25IZOSyryOMXrx6m\noyfIvOJ0LptXwAu7avH6w/x+60nuv2Yezd0BNu6q4d1DzaTZLdy1djrLp+fgsk/um10JIcS5kjn3\nQgghxkxTl4/aFi9VNR04rGZyMh3858aqAdvYLUZuXz2N3719DINSfP/e1Xz3D3tp7goM2O7+a+by\n4SUlY9l9IYQYdVLnXgghxIQXjcU40tDNe0daONrSw9HWXnyRGL/fUj1kW38oSigcxWo2YDEZaOry\nD0nsAR575zhtnqHtQggxlUlyPwpk7pzoI7Egkk3VeOj2hXhqczX/9OQuHn3nBBt317FkWjbpTgtd\nvcGU+/QEwljNRm66pAx/KJpyG68/TCiSet1EN1VjQaQm8SBGkiT3QgghRtW+mk6e2lJNJBqfBuoL\nRXn8vZNkOi0smpadcp/cdDtLp+dQUZhOdpo15TYVBW7cDsuo9VsIIS5GktyPgnXr1o13F8QEIbEg\nkk3FePCHIvxxe03KdQfquvnQoiIynQMT9PXzC8h0WmjoDvBvzx2gqcvPdcsGzq23mAzce/VsXLaL\n84LaqRgLYngSD2IkSbUcIYQQo0ZrCMdiKdfFYpr23hDXLCvDoCAQiuCym2no9NHoCXKkyQvAQ28c\n4/ufWMGqWXkcru8i3WFhdnE603LTxvKlCCHERUFG7keBzJ0TfSQWRLKpGA8Oq4lrlxSnXDenyM2R\nJi+/21LNo5ureW5PPY9UnuTVg80EwlHciTKX4WiMUDTG4vIs7lo7g2uWllz0if1UjAUxPIkHMZJk\n5F4IIcSoWjkjh6q6Lt493AKAQcE1S4rp8oc53uzt365vTj7AqdZeCjPsePxhslxWMp1WOntD1LT3\n0hOIkOu2UprlxG4x9u8TjWmMhoHV49p7ghxv9nKkyUtumpWiTDs2i5HiDAcOq/wJFEJMPlLnXggh\nxKjrDYZp6PDh8YdJs5t590gr+Rl2ojFNJBrD4wux40QH9Z0+AG5aVkw4GiPTaWVRaQbpDis/2FjF\n8ZbTd6y9fWUJty0vobHLz6b3m6nv8HP5nFyWlWdSkG6n3RvgJ68cYV9tV/8+6XYzd15SSm2Hj49f\nWk6mM/XFukIIMV4utM69DFsIIYQYdU6rmVmF6QB09obwhqL84c0T/euXlWVw04oSguEY79d2srA0\niye2naKjt4vDzV5KMh0cb+klw2EmN81GU7ef3++oY06Bm++9WEUsMU5V1dBNRZ6Lr9+8gKNNPQMS\ne4Buf5gjTV4au/xU1Xu4bHbumL0HQggxFmTO/SiQuXOij8SCSCbxEHek2cumqpYBbbtrumj2BHlq\ney2XzStgf10XV83L59KKbNbPyWf7iQ4+tW466+bkkea0sGFhIfesKWd/bRdZg0bfj7X00NDho6qh\nO+XzH6zvZmZ+Gq9VNTFe315LLIhkEg9iJElyL4QQYkxVHmlN2b7rVCfzi9N5pPIkC0syqG734bCa\nQcEty0t4Zmc9z+9tZEd1J8/uqufVqmbmFbsJpriRVUOXj8J0W8rnyXNb6eoN4bCYUOq8v/kWQogJ\nSabljAKpVyv6SCyIZBIPca5hLmS1m42EIjFavEFOtPXwSlUzAIuL3ZRkOugJRgZs39oTotmT+g63\n2S4bbrsZp9VIb3Bg8r9udh6PVJ7gH29ZMAKv5vxILIhkEg9iJMnIvRBCiDG1bph57iunZ7GvrosM\nh5nepEQ+zWbmYIMn5T6HmrwUZtgBKMqwM7sgjXmFaUzPdeG0Gvn42mmsnpmNy2piZp6Lz62fyZZj\nrXz2ihnMSVwDIIQQk4kk96NA5s6JPhILIpnEQ9ysfBd/c92c/jr2douRO1eWcLC+m0hUc8OSIt46\n0ta/fbMnSEmmPeWxKvJc/PnVFfzVdXOZW5KJy2njhmWlKIMi22XlRGsvc4rTuX5ZMTcsLcIXjjKn\nJJOW3jAXOiOnuTvA3touDtR309UbOqd9JRZEMokHMZJkWo4QQogxZTEZuWJOHnML3bR6g/QGI7y0\nvwGt4W+um8PGA010+8P92x9r7eGGRYVsO9lBOKkWvtNqZF6hG28gyg9fO4bRoLj7klLeb/Ty/L4m\nKvKcXDUvn396ropIbOiFs+sqcqjIcxHTmi5fCKvJiPMsa9/vqe3ixX1NzMhzArDtZAcb5uVTnu24\nwHdHCCEujCT3o0Dmzok+EgsimcTDQHluG3nu+EWvi0ozMBkUTd0BTrX7+rcxKJiR6yLPbeHrN8zj\n9febqe3wU5HnYml5Jmk2Ez987RgxDR9dXsxLB5po7Y1/MHi/yUu6zZQysQdo8waJas2bh1vZfLKT\ndJuJO5YVs6I8HZfVPGy/G7r8HGvpIRCN8f+21QEwPcvOtBwnOS7LWX1AkFgQySQehtflC9HaE8Jm\nNlLotmIyyqSTDyLJvRBCiHFnN8fvNFua5eBfbl/IH3bXE9Mwu9BNVaOXlw+1MSPHicthoVgZONLW\ny2tH2/n8ZeV0+sLYzUaiMd2f2AMUptsoz3ZgNRkIRmKYDIr1c3IpSHygyHBaePD1E5zsiH+YaOsJ\n8f1Xj3L/5dO4em4uTkvqP5EdPUH21XvYVXu61ObJDj8bDzRRnu3AZTWR47JgNHxwEuINhjnW0su+\neg8uq4nFxW5m5DiH3GlXiKlGa83+Bi8/eeM4TZ4gRoPixgV53LGsiFyX3HzuTIzf/OY3x7sP5+zk\nyZPfLCwsHO9uDKuyspKysrLx7oaYACQWRDKJh7OT6bSwtCSD2u4g/7OllppOP9UdfnbXdbOoOJ2q\nJi+1nQEAGroDXFGRTZc/jNGg6PSFuWNZESvKM1hWmkFPMEp5tp3DTT3cd9k0tp3q5u3jHexr8LKv\n3sPNiws42OAZMLp/oq2XxcVuctNSJxANXQEe3V43oO0jy4twWM38enMtLxxopssfwW0zke2ypDxG\nZWUluQXFPLmrngffquZgo5fddd28eqiVufkuioYp4ykmJzk3DFXT6efrfzhIdyB+cb3WcLilF5fV\nxMLCtEldxraxsZEZM2Z863z3l+82hBBCTDjN3hBP7Kwf0v7H/U2sn5XTvxzVmkumZ9HWE6I0084n\n1pTy/IFmHt5ax0/eOslDm2sozXLyv66dzauH2qju8Pfv2+QJ8sSuBq6Znz/gOTp9Yeq6AtR2+mnr\nGVhqs8sfRg36y7miPIPqdj8bq1rxhaL4wzH+uL+ZR7bWcrKtd9jXWNvp5+ndjQPaojHNg2+dpOMc\nL9AVYrI52eYjFB06pe6Z3Y209cj/jzOR5H4UyNw50UdiQSSTeDh7Hf4QqabKh6MazekVNy8sYHa+\ni3+8cQ6zC9J4Zk8TPaHTde1DUc1P364mFNWcSJrL36e9N0y+e+AI/bRsB52+MD964yRfe6aK9050\nEI7GONzcw9/94X3ePt7JtKzTF87OL0xje83Qu+HuqfNwst1HJBLFE4gQjsb6161bt44mbyDla2/x\nBmntCdHlC9PiDRJKcZMuMbnIuWGo5P8vyYKRKNFxurP0xULm3AshhJhw0m1mFDD4T7jRoDAkvo6/\nvCKLdbNysJqMLC7JoKrRS7N36E2t/OEzJ8c2s5HSLDv1nX4ur8hh7cxsQrEYc/OcnOrw8a8vH+MH\nd8zjGy8cxRuM0OwNcv/aMn63vZZOX5joMBfsAhiU4qfvnGJ/Yw9zcp3cujifaVk2AhGNdZgLA+1m\nA/5QhK8+e5wOX5jV5Rl8YkUhM3LilXmaPAEaPUFMBgMlGVYyHamn/ghxMSvPSl156qrZOeQ4JebP\nREbuR4HUqxV9JBZEMomHs1eSaeOmRQVD2u9cWsiiIjc/umsRX7lqJnlJ8+ItpuH/pFlMBkozh85j\nT7ebqO8OcNfyYh64dg7Nvgj/8upxvrfpJJXVXdy3phSX1UR1ux9v4sZa4ajmoc21XDUnj0+tLmNO\nfhoOi3HIsW0mA43eIK8cbqfRE+TN4x388wtH2Fnr4edPbsRiMjI9Z2gCc+38fE51+mntCRGNad47\n2ck/vXiUuk4/VU1ent7bxLdfOsbfPX+IB54/THWKbyREXLc/TJM3SG8o8sEbjyM5NwxVnm3nL9ZP\nJ/na8rIsO3ctL5KKOR9ARu6FEEJMOFaTkbtXFDEn38kL+5sxGODmRYUsLnaTbk9dprIo3cqK0nR2\n1nYPaY/ENDcvLuDZ3Y00eeKj+5l2M3+2roznDzSztDidZ/c1cbCpp3+/1p4Qj2yr56YFef0X3C4p\ndrOoKA0N7KzpxmU1YjQZuHtFEY9sqe2fSqSAey8t5Zm9TQBcPTub8kw7nkCEtt4wBoPCE4xwZUUO\nc/MDbKvuxGExckVFDvVdfmyJDwsmg+KqWVmsm5HJY7saeONYJ8XpVj51STFvHGvnWKuPB985xbeu\nn3XWNfqT+UJRTnX48YWjRGIxcpxWyjNtA5KnQCTKoeZe3jvZwaxcF9Udfuq7A1w2PZPFhWlDpjVN\nBMFIlD31Xn61uZa67iBz85x8bk0JCwpc/d/8iInNajLy4bm5zC9Io7E7gMNipDTTTpaM2n8gpS/C\neUubNm3Sy5cvH+9uCCGEGAN9c84tpnjC2+0PU9cdJBiJUei2UpiUXDZ0B3h4Sy3vnehAA4uK0vjc\npWU0eIL8+M1qrpmTTZbdjAZ6Q1E2HW3n+nm5zMxx8i+vHBvwvLNynawuT6co3UZ+moWT7T42n+pm\nZ52XddMzWFHixmRUtPeGOdbay5w8J/5ghBgwL9/FyXY//29nA1fPzqbFG2J3g7f/2DlOM3cvKyQW\ni7HxYDMLC9Pwh2PsqO3ms2tK6Q1FCUc1pVl2jrf52V7bTWGalfn5Tp7d30wkqvniZaVsP9WFJxjl\nvlXFOK0mvMEoTouR3KQqPW29IU62++n0h8l1WijJsJLlsFDXHeCXm+vYWefBoOCyaRlMy7IzYOAM\nzgAAG9VJREFUPcvO2umZ/fu/frSd//vGSb54WRm/3Fw74EZic/Mc/O8PVwx4vsGiMT3mpT1313n4\n+xeODGgzGRQ/vG0us3Odw+4XjWk8gQg2s6G/PKsQY23Xrl1s2LDhvP/TyMi9EEKICa0vqQeo7fLz\n3U0nOdoer3rjtBj5+tXTWVnqxqAURek2/nbDDJouKUZryEuz4LCYaEh8GPjjwdYBx1ZAfpqVrkB4\nQPt183KJaM2ju5uIasiym/jY8kLqPSHuWJzP8XYfP3qnBojfaOuW+bnsrvcQ07CqLJ1Xj8XvpvuJ\nS4opy7Dx7VeODzh+W2+Ywy29NHuDrJ+dC1rjtplYMz2TR3Y2kuWwcOPcHH7xXh3NicogR1p97Kjt\n5oEN09lV5+H5g61U5DhYWprOsXY/v95WjzcQYcPsbC6fkcGsHCc9wQj/9tpJjradnrqzvCSNTywv\n5Mdvn6K2K/4tRkzDOye7CERi5Dot7K73kOu0YDUrfvFeLStL03nr+MA7BAMcavFxtLWX3nCEnkCU\nUDRGjstCkdvK8TY/rx1p40RHgHXTM1hVlk5xui2RQIfxh2Ok2Uykncc3DmcSisb4/f7mIe2RmGZr\ndRfTMuPXPDgtxgEfOqo7/PypqpXNp7ooTLPyseWFLCxwYjVJki8uLlLnfhRIvVrRR2JBJJN4uDCB\ncJT/fLeGPY2np86Eo5rKE52sm5FJRmK6jslgIMNuJsNhxpyYXhLVmo1VrUOOeUlZOjkuM3sbenBa\nTLT1hshymJmV7+SPVW39F/T6IzF21nn4+PJCvKEobxzr7D+GBg61+rhjcT4um4mHtzdyqjNAXXeQ\nPQ1eHBYjdrORlqTyfZ4Tewnas5mX7+LpfS3sbezhVGcArRQ767zctiCPcFTz5vHOAf39xIpC/md7\nA7sbemjuCfF+Sy+76jxcMSOThu4gN8zLZcupbjYeaqfDF6bTF2bT0Y4Bx2j0hFhRnMYL77cPeT8a\nPEHm5bv4/lunePlwGy6LkWmZ8dH8N452pLzbb57LwsPbG9l4uB2lFC3eINEY/P2LR3m/xUdLT4gd\ndR521XsozbDxX5vreP1YJxaTAW8ggtbQFYjQ6Y9gMagzXjsxsK8B3j7RyRN7mmn0xKdtZDrMBCJR\nnt3X3F8fvU95lp1V5Rn8ZkcDT+xtprUnRI7TQobdTH13gL/70xH2Nvb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmap = mpl.colors.LinearSegmentedColormap.from_list(\"BMH\", colors)\n", "assign_trace = mcmc.trace(\"assignment\")[:]\n", "plt.scatter(data, 1 - assign_trace.mean(axis=0), cmap=cmap,\n", " c=assign_trace.mean(axis=0), s=50)\n", "plt.ylim(-0.05, 1.05)\n", "plt.xlim(35, 300)\n", "plt.title(\"Probability of data point belonging to cluster 0\")\n", "plt.ylabel(\"probability\")\n", "plt.xlabel(\"value of data point\");\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even though we modeled the clusters using Normal distributions, we didn't get just a single Normal distribution that *best* fits the data (whatever our definition of best is), but a distribution of values for the Normal's parameters. How can we choose just a single pair of values for the mean and variance and determine a *sorta-best-fit* gaussian? \n", "\n", "One quick and dirty way (which has nice theoretical properties we will see in Chapter 5), is to use the *mean* of the posterior distributions. Below we overlay the Normal density functions, using the mean of the posterior distributions as the chosen parameters, with our observed data:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NOjk5cf/+/XznvHnbmzRpQmJiIgDXr19n4sSJeHt74+7uTnBwsEU91nkBNm3a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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "norm = stats.norm\n", "x = np.linspace(20, 300, 500)\n", "posterior_center_means = center_trace.mean(axis=0)\n", "posterior_std_means = std_trace.mean(axis=0)\n", "posterior_p_mean = mcmc.trace(\"p\")[:].mean()\n", "\n", "plt.hist(data, bins=20, histtype=\"step\", normed=True, color=\"k\",\n", " lw=2, label=\"histogram of data\")\n", "y = posterior_p_mean * norm.pdf(x, loc=posterior_center_means[0],\n", " scale=posterior_std_means[0])\n", "plt.plot(x, y, label=\"Cluster 0 (using posterior-mean parameters)\", lw=3)\n", "plt.fill_between(x, y, color=colors[1], alpha=0.3)\n", "\n", "y = (1 - posterior_p_mean) * norm.pdf(x, loc=posterior_center_means[1],\n", " scale=posterior_std_means[1])\n", "plt.plot(x, y, label=\"Cluster 1 (using posterior-mean parameters)\", lw=3)\n", "plt.fill_between(x, y, color=colors[0], alpha=0.3)\n", "\n", "plt.legend(loc=\"upper left\")\n", "plt.title(\"Visualizing Clusters using posterior-mean parameters\");\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Important: Don't mix posterior samples\n", "\n", "In the above example, a possible (though less likely) scenario is that cluster 0 has a very large standard deviation, and cluster 1 has a small standard deviation. This would still satisfy the evidence, albeit less so than our original inference. Alternatively, it would be incredibly unlikely for *both* distributions to have a small standard deviation, as the data does not support this hypothesis at all. Thus the two standard deviations are *dependent* on each other: if one is small, the other must be large. In fact, *all* the unknowns are related in a similar manner. For example, if a standard deviation is large, the mean has a wider possible space of realizations. Conversely, a small standard deviation restricts the mean to a small area. \n", "\n", "During MCMC, we are returned vectors representing samples from the unknown posteriors. Elements of different vectors cannot be used together, as this would break the above logic: perhaps a sample has returned that cluster 1 has a small standard deviation, hence all the other variables in that sample would incorporate that and be adjusted accordingly. It is easy to avoid this problem though, just make sure you are indexing traces correctly. \n", "\n", "Another small example to illustrate the point. Suppose two variables, $x$ and $y$, are related by $x+y=10$. We model $x$ as a Normal random variable with mean 4 and explore 500 samples. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r", " [-----------------100%-----------------] 500 of 500 complete in 0.0 sec" ] }, { "data": { "image/png": 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z6vOpc19D5V67FeTeXtj05KvY+OhL+Owbf1V+Afmg/qW3sOwn9wAAjvjTL7HH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oNMneTk47JBrCUGsaX7xmKbYMNoNgDRinHC+Od2kfcF80nQ3+uo9Rzkt98+vPJQ1n5nd4dMox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\nmLBWNlvTMWeVNsr59mQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pymc as pm\n", "\n", "x = pm.Normal(\"x\", 4, 10)\n", "y = pm.Lambda(\"y\", lambda x=x: 10 - x, trace=True)\n", "\n", "ex_mcmc = pm.MCMC(pm.Model([x, y]))\n", "ex_mcmc.sample(500)\n", "\n", "plt.plot(ex_mcmc.trace(\"x\")[:])\n", "plt.plot(ex_mcmc.trace(\"y\")[:])\n", "plt.title(\"Displaying (extreme) case of dependence between unknowns\");\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the two variables are not unrelated, and it would be wrong to add the $i$th sample of $x$ to the $j$th sample of $y$, unless $i = j$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Returning to Clustering: Prediction\n", "The above clustering can be generalized to $k$ clusters. Choosing $k=2$ allowed us to visualize the MCMC better, and examine some very interesting plots. \n", "\n", "What about prediction? Suppose we observe a new data point, say $x = 175$, and we wish to label it to a cluster. It is foolish to simply assign it to the *closer* cluster center, as this ignores the standard deviation of the clusters, and we have seen from the plots above that this consideration is very important. More formally: we are interested in the *probability* (as we cannot be certain about labels) of assigning $x=175$ to cluster 1. Denote the assignment of $x$ as $L_x$, which is equal to 0 or 1, and we are interested in $P(L_x = 1 \\;|\\; x = 175 )$. \n", "\n", "A naive method to compute this is to re-run the above MCMC with the additional data point appended. The disadvantage with this method is that it will be slow to infer for each novel data point. Alternatively, we can try a *less precise*, but much quicker method. \n", "\n", "We will use Bayes Theorem for this. If you recall, Bayes Theorem looks like:\n", "\n", "$$P( A | X ) = \\frac{ P( X | A )P(A) }{P(X) }$$\n", "\n", "In our case, $A$ represents $L_x = 1$ and $X$ is the evidence we have: we observe that $x = 175$. For a particular sample set of parameters for our posterior distribution, $( \\mu_0, \\sigma_0, \\mu_1, \\sigma_1, p)$, we are interested in asking \"Is the probability that $x$ is in cluster 1 *greater* than the probability it is in cluster 0?\", where the probability is dependent on the chosen parameters.\n", "\n", "\\begin{align}\n", "& P(L_x = 1| x = 175 ) \\gt P(L_x = 0| x = 175 ) \\\\\\\\[5pt]\n", "& \\frac{ P( x=175 | L_x = 1 )P( L_x = 1 ) }{P(x = 175) } \\gt \\frac{ P( x=175 | L_x = 0 )P( L_x = 0 )}{P(x = 175) }\n", "\\end{align}\n", "\n", "As the denominators are equal, they can be ignored (and good riddance, because computing the quantity $P(x = 175)$ can be difficult). \n", "\n", "$$P( x=175 | L_x = 1 )P( L_x = 1 ) \\gt P( x=175 | L_x = 0 )P( L_x = 0 )$$\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Probability of belonging to cluster 1: 0.00968\n" ] } ], "source": [ "norm_pdf = stats.norm.pdf\n", "p_trace = mcmc.trace(\"p\")[:]\n", "x = 175\n", "\n", "v = p_trace * norm_pdf(x, loc=center_trace[:, 0], scale=std_trace[:, 0]) > \\\n", " (1 - p_trace) * norm_pdf(x, loc=center_trace[:, 1], scale=std_trace[:, 1])\n", "\n", "print(\"Probability of belonging to cluster 1:\", v.mean())\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Giving us a probability instead of a label is a very useful thing. Instead of the naive \n", "\n", " L = 1 if prob > 0.5 else 0\n", "\n", "we can optimize our guesses using a *loss function*, which the entire fifth chapter is devoted to. \n", "\n", "\n", "### Using MAP to improve convergence\n", "\n", "If you ran the above example yourself, you may have noticed that our results were not consistent: perhaps your cluster division was more scattered, or perhaps less scattered. The problem is that our traces are a function of the *starting values* of the MCMC algorithm. \n", "\n", "It can be mathematically shown that letting the MCMC run long enough, by performing many steps, the algorithm *should forget its initial position*. In fact, this is what it means to say the MCMC converged (in practice though we can never achieve total convergence). Hence if we observe different posterior analysis, it is likely because our MCMC has not fully converged yet, and we should not use samples from it yet (we should use a larger burn-in period ).\n", "\n", "In fact, poor starting values can prevent any convergence, or significantly slow it down. Ideally, we would like to have the chain start at the *peak* of our landscape, as this is exactly where the posterior distributions exist. Hence, if we started at the \"peak\", we could avoid a lengthy burn-in period and incorrect inference. Generally, we call this \"peak\" the *maximum a posterior* or, more simply, the *MAP*.\n", "\n", "Of course, we do not know where the MAP is. PyMC provides an object that will approximate, if not find, the MAP location. In the PyMC main namespace is the MAP object that accepts a PyMC Model instance. Calling .fit() from the MAP instance sets the variables in the model to their MAP values.\n", "\n", " map_ = pm.MAP( model )\n", " map_.fit()\n", "\n", "The MAP.fit() methods has the flexibility of allowing the user to choose which optimization algorithm to use (after all, this is a optimization problem: we are looking for the values that maximize our landscape), as not all optimization algorithms are created equal. The default optimization algorithm in the call to fit is scipy's fmin algorithm (which attempts to minimize the *negative of the landscape*). An alternative algorithm that is available is Powell's Method, a favourite of PyMC blogger [Abraham Flaxman](http://healthyalgorithms.com/) [1], by calling fit(method='fmin_powell'). From my experience, I use the default, but if my convergence is slow or not guaranteed, I experiment with Powell's method. \n", "\n", "The MAP can also be used as a solution to the inference problem, as mathematically it is the *most likely* value for the unknowns. But as mentioned earlier in this chapter, this location ignores the uncertainty and doesn't return a distribution.\n", "\n", "Most often it is a good idea, and rarely a bad idea, to prepend your call to mcmc with a call to MAP(model).fit(). The intermediate call to fit is hardly computationally intensive, and will save you time later due to a shorter burn-in period. \n", "\n", "#### Speaking of the burn-in period\n", "\n", "It is still a good idea to provide a burn-in period, even if we are using MAP prior to calling MCMC.sample, just to be safe. We can have PyMC automatically discard the first $n$ samples by specifying the burn parameter in the call to sample. As one does not know when the chain has fully converged, I like to assign the first *half* of my samples to be discarded, sometimes up to 90% of my samples for longer runs. To continue the clustering example from above, my new code would look something like:\n", "\n", " model = pm.Model( [p, assignment, taus, centers ] )\n", "\n", " map_ = pm.MAP( model )\n", " map_.fit() #stores the fitted variables' values in foo.value\n", "\n", " mcmc = pm.MCMC( model )\n", " mcmc.sample( 100000, 50000 )\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagnosing Convergence\n", "\n", "### Autocorrelation\n", "\n", "Autocorrelation is a measure of how related a series of numbers is with itself. A measurement of 1.0 is perfect positive autocorrelation, 0 no autocorrelation, and -1 is perfect negative correlation. If you are familiar with standard *correlation*, then autocorrelation is just how correlated a series, $x_\\tau$, at time $t$ is with the series at time $t-k$:\n", "\n", "$$R(k) = Corr( x_t, x_{t-k} )$$\n", "\n", "For example, consider the two series:\n", "\n", "$$x_t \\sim \\text{Normal}(0,1), \\;\\; x_0 = 0$$\n", "$$y_t \\sim \\text{Normal}(y_{t-1}, 1 ), \\;\\; y_0 = 0$$\n", "\n", "which have example paths like:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mHArGkB+/CP+5IhWf7N0PM+dAbgner+zCqx98goJ4Nf7037cjQuWd4+WlLh30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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12.5, 4)\n", "\n", "import pymc as pm\n", "x_t = pm.rnormal(0, 1, 200)\n", "x_t[0] = 0\n", "y_t = np.zeros(200)\n", "for i in range(1, 200):\n", " y_t[i] = pm.rnormal(y_t[i - 1], 1)\n", "\n", "plt.plot(y_t, label=\"$y_t$\", lw=3)\n", "plt.plot(x_t, label=\"$x_t$\", lw=3)\n", "plt.xlabel(\"time, $t$\")\n", "plt.legend();\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One way to think of autocorrelation is \"If I know the position of the series at time $s$, can it help me know where I am at time $t$?\" In the series $x_t$, the answer is No. By construction, $x_t$ are random variables. If I told you that $x_2 = 0.5$, could you give me a better guess about $x_3$? No.\n", "\n", "On the other hand, $y_t$ is autocorrelated. By construction, if I knew that $y_2 = 10$, I can be very confident that $y_3$ will not be very far from 10. Similarly, I can even make a (less confident guess) about $y_4$: it will probably not be near 0 or 20, but a value of 5 is not too unlikely. I can make a similar argument about $y_5$, but again, I am less confident. Taking this to its logical conclusion, we must concede that as $k$, the lag between time points, increases the autocorrelation decreases. We can visualize this:\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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