diff --git a/.github/FUNDING.yml b/.github/FUNDING.yml new file mode 100644 index 00000000..a4f4a0d1 --- /dev/null +++ b/.github/FUNDING.yml @@ -0,0 +1,4 @@ +# These are supported funding model platforms + +github: CamDavidsonPilon + diff --git a/Chapter1_Introduction/Ch1_Introduction_PyMC_current.ipynb b/Chapter1_Introduction/Ch1_Introduction_PyMC_current.ipynb new file mode 100644 index 00000000..aa28e6f5 --- /dev/null +++ b/Chapter1_Introduction/Ch1_Introduction_PyMC_current.ipynb @@ -0,0 +1,1207 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Probabilistic Programming\n", + "=====\n", + "and Bayesian Methods for Hackers \n", + "========\n", + "\n", + "##### Version 0.1\n", + "\n", + "`Original content created by Cam Davidson-Pilon`\n", + "\n", + "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", + "\n", + "`Ported to PyMC last (4) by Kurisu Chan (@miemiekurisu)`\n", + "___\n", + "\n", + "\n", + "Welcome to *Bayesian Methods for Hackers*. The full Github repository is available at [github/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers](https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers). The other chapters can be found on the project's [homepage](https://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/). We hope you enjoy the book, and we encourage any contributions!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Chapter 1\n", + "======\n", + "***" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The Philosophy of Bayesian Inference\n", + "------\n", + " \n", + "> You are a skilled programmer, but bugs still slip into your code. After a particularly difficult implementation of an algorithm, you decide to test your code on a trivial example. It passes. You test the code on a harder problem. It passes once again. And it passes the next, *even more difficult*, test too! You are starting to believe that there may be no bugs in this code...\n", + "\n", + "If you think this way, then congratulations, you already are thinking Bayesian! Bayesian inference is simply updating your beliefs after considering new evidence. A Bayesian can rarely be certain about a result, but he or she can be very confident. Just like in the example above, we can never be 100% sure that our code is bug-free unless we test it on every possible problem; something rarely possible in practice. Instead, we can test it on a large number of problems, and if it succeeds we can feel more *confident* about our code, but still not certain. Bayesian inference works identically: we update our beliefs about an outcome; rarely can we be absolutely sure unless we rule out all other alternatives. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "### The Bayesian state of mind\n", + "\n", + "\n", + "Bayesian inference differs from more traditional statistical inference by preserving *uncertainty*. At first, this sounds like a bad statistical technique. Isn't statistics all about deriving *certainty* from randomness? To reconcile this, we need to start thinking like Bayesians. \n", + "\n", + "The Bayesian world-view interprets probability as measure of *believability in an event*, that is, how confident we are in an event occurring. In fact, we will see in a moment that this is the natural interpretation of probability. \n", + "\n", + "For this to be clearer, we consider an alternative interpretation of probability: *Frequentist*, known as the more *classical* version of statistics, assume that probability is the long-run frequency of events (hence the bestowed title). For example, the *probability of plane accidents* under a frequentist philosophy is interpreted as the *long-term frequency of plane accidents*. This makes logical sense for many probabilities of events, but becomes more difficult to understand when events have no long-term frequency of occurrences. Consider: we often assign probabilities to outcomes of presidential elections, but the election itself only happens once! Frequentists get around this by invoking alternative realities and saying across all these realities, the frequency of occurrences defines the probability. \n", + "\n", + "Bayesians, on the other hand, have a more intuitive approach. Bayesians interpret a probability as measure of *belief*, or confidence, of an event occurring. Simply, a probability is a summary of an opinion. An individual who assigns a belief of 0 to an event has no confidence that the event will occur; conversely, assigning a belief of 1 implies that the individual is absolutely certain of an event occurring. Beliefs between 0 and 1 allow for weightings of other outcomes. This definition agrees with the probability of a plane accident example, for having observed the frequency of plane accidents, an individual's belief should be equal to that frequency, excluding any outside information. Similarly, under this definition of probability being equal to beliefs, it is meaningful to speak about probabilities (beliefs) of presidential election outcomes: how confident are you candidate *A* will win?\n", + "\n", + "Notice in the paragraph above, I assigned the belief (probability) measure to an *individual*, not to Nature. This is very interesting, as this definition leaves room for conflicting beliefs between individuals. Again, this is appropriate for what naturally occurs: different individuals have different beliefs of events occurring, because they possess different *information* about the world. The existence of different beliefs does not imply that anyone is wrong. Consider the following examples demonstrating the relationship between individual beliefs and probabilities:\n", + "\n", + "- I flip a coin, and we both guess the result. We would both agree, assuming the coin is fair, that the probability of Heads is 1/2. Assume, then, that I peek at the coin. Now I know for certain what the result is: I assign probability 1.0 to either Heads or Tails (whichever it is). Now what is *your* belief that the coin is Heads? My knowledge of the outcome has not changed the coin's results. Thus we assign different probabilities to the result. \n", + "\n", + "- Your code either has a bug in it or not, but we do not know for certain which is true, though we have a belief about the presence or absence of a bug. \n", + "\n", + "- A medical patient is exhibiting symptoms $x$, $y$ and $z$. There are a number of diseases that could be causing all of them, but only a single disease is present. A doctor has beliefs about which disease, but a second doctor may have slightly different beliefs. \n", + "\n", + "\n", + "This philosophy of treating beliefs as probability is natural to humans. We employ it constantly as we interact with the world and only see partial truths, but gather evidence to form beliefs. Alternatively, you have to be *trained* to think like a frequentist. \n", + "\n", + "To align ourselves with traditional probability notation, we denote our belief about event $A$ as $P(A)$. We call this quantity the *prior probability*.\n", + "\n", + "John Maynard Keynes, a great economist and thinker, said \"When the facts change, I change my mind. What do you do, sir?\" This quote reflects the way a Bayesian updates his or her beliefs after seeing evidence. Even — especially — if the evidence is counter to what was initially believed, the evidence cannot be ignored. We denote our updated belief as $P(A |X )$, interpreted as the probability of $A$ given the evidence $X$. We call the updated belief the *posterior probability* so as to contrast it with the prior probability. For example, consider the posterior probabilities (read: posterior beliefs) of the above examples, after observing some evidence $X$:\n", + "\n", + "1\\. $P(A): \\;\\;$ the coin has a 50 percent chance of being Heads. $P(A | X):\\;\\;$ You look at the coin, observe a Heads has landed, denote this information $X$, and trivially assign probability 1.0 to Heads and 0.0 to Tails.\n", + "\n", + "2\\. $P(A): \\;\\;$ This big, complex code likely has a bug in it. $P(A | X): \\;\\;$ The code passed all $X$ tests; there still might be a bug, but its presence is less likely now.\n", + "\n", + "3\\. $P(A):\\;\\;$ The patient could have any number of diseases. $P(A | X):\\;\\;$ Performing a blood test generated evidence $X$, ruling out some of the possible diseases from consideration.\n", + "\n", + "\n", + "It's clear that in each example we did not completely discard the prior belief after seeing new evidence $X$, but we *re-weighted the prior* to incorporate the new evidence (i.e. we put more weight, or confidence, on some beliefs versus others). \n", + "\n", + "By introducing prior uncertainty about events, we are already admitting that any guess we make is potentially very wrong. After observing data, evidence, or other information, we update our beliefs, and our guess becomes *less wrong*. This is the alternative side of the prediction coin, where typically we try to be *more right*. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "### Bayesian Inference in Practice\n", + "\n", + " If frequentist and Bayesian inference were programming functions, with inputs being statistical problems, then the two would be different in what they return to the user. The frequentist inference function would return a number, representing an estimate (typically a summary statistic like the sample average etc.), whereas the Bayesian function would return *probabilities*.\n", + "\n", + "For example, in our debugging problem above, calling the frequentist function with the argument \"My code passed all $X$ tests; is my code bug-free?\" would return a *YES*. On the other hand, asking our Bayesian function \"Often my code has bugs. My code passed all $X$ tests; is my code bug-free?\" would return something very different: probabilities of *YES* and *NO*. The function might return:\n", + "\n", + "\n", + "> *YES*, with probability 0.8; *NO*, with probability 0.2\n", + "\n", + "\n", + "\n", + "This is very different from the answer the frequentist function returned. Notice that the Bayesian function accepted an additional argument: *\"Often my code has bugs\"*. This parameter is the *prior*. By including the prior parameter, we are telling the Bayesian function to include our belief about the situation. Technically this parameter in the Bayesian function is optional, but we will see excluding it has its own consequences. \n", + "\n", + "\n", + "#### Incorporating evidence\n", + "\n", + "As we acquire more and more instances of evidence, our prior belief is *washed out* by the new evidence. This is to be expected. For example, if your prior belief is something ridiculous, like \"I expect the sun to explode today\", and each day you are proved wrong, you would hope that any inference would correct you, or at least align your beliefs better. Bayesian inference will correct this belief.\n", + "\n", + "\n", + "Denote $N$ as the number of instances of evidence we possess. As we gather an *infinite* amount of evidence, say as $N \\rightarrow \\infty$, our Bayesian results (often) align with frequentist results. Hence for large $N$, statistical inference is more or less objective. On the other hand, for small $N$, inference is much more *unstable*: frequentist estimates have more variance and larger confidence intervals. This is where Bayesian analysis excels. By introducing a prior, and returning probabilities (instead of a scalar estimate), we *preserve the uncertainty* that reflects the instability of statistical inference of a small $N$ dataset. \n", + "\n", + "One may think that for large $N$, one can be indifferent between the two techniques since they offer similar inference, and might lean towards the computationally-simpler, frequentist methods. An individual in this position should consider the following quote by Andrew Gelman (2005)[1], before making such a decision:\n", + "\n", + "> Sample sizes are never large. If $N$ is too small to get a sufficiently-precise estimate, you need to get more data (or make more assumptions). But once $N$ is \"large enough,\" you can start subdividing the data to learn more (for example, in a public opinion poll, once you have a good estimate for the entire country, you can estimate among men and women, northerners and southerners, different age groups, etc.). $N$ is never enough because if it were \"enough\" you'd already be on to the next problem for which you need more data.\n", + "\n", + "### Are frequentist methods incorrect then? \n", + "\n", + "**No.**\n", + "\n", + "Frequentist methods are still useful or state-of-the-art in many areas. Tools such as least squares linear regression, LASSO regression, and expectation-maximization algorithms are all powerful and fast. Bayesian methods complement these techniques by solving problems that these approaches cannot, or by illuminating the underlying system with more flexible modeling.\n", + "\n", + "\n", + "#### A note on *Big Data*\n", + "Paradoxically, big data's predictive analytic problems are actually solved by relatively simple algorithms [2][4]. Thus we can argue that big data's prediction difficulty does not lie in the algorithm used, but instead on the computational difficulties of storage and execution on big data. (One should also consider Gelman's quote from above and ask \"Do I really have big data?\")\n", + "\n", + "The much more difficult analytic problems involve *medium data* and, especially troublesome, *really small data*. Using a similar argument as Gelman's above, if big data problems are *big enough* to be readily solved, then we should be more interested in the *not-quite-big enough* datasets. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Our Bayesian framework\n", + "\n", + "We are interested in beliefs, which can be interpreted as probabilities by thinking Bayesian. We have a *prior* belief in event $A$, beliefs formed by previous information, e.g., our prior belief about bugs being in our code before performing tests.\n", + "\n", + "Secondly, we observe our evidence. To continue our buggy-code example: if our code passes $X$ tests, we want to update our belief to incorporate this. We call this new belief the *posterior* probability. Updating our belief is done via the following equation, known as Bayes' Theorem, after its discoverer Thomas Bayes:\n", + "\n", + "\\begin{align}\n", + " P( A | X ) = & \\frac{ P(X | A) P(A) } {P(X) } \\\\\\\\[5pt]\n", + "& \\propto P(X | A) P(A)\\;\\; (\\propto \\text{is proportional to })\n", + "\\end{align}\n", + "\n", + "The above formula is not unique to Bayesian inference: it is a mathematical fact with uses outside Bayesian inference. Bayesian inference merely uses it to connect prior probabilities $P(A)$ with an updated posterior probabilities $P(A | X )$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Mandatory coin-flip example\n", + "\n", + "Every statistics text must contain a coin-flipping example, I'll use it here to get it out of the way. Suppose, naively, that you are unsure about the probability of heads in a coin flip (spoiler alert: it's 50%). You believe there is some true underlying ratio, call it $p$, but have no prior opinion on what $p$ might be. \n", + "\n", + "We begin to flip a coin, and record the observations: either $H$ or $T$. This is our observed data. An interesting question to ask is how our inference changes as we observe more and more data? More specifically, what do our posterior probabilities look like when we have little data, versus when we have lots of data. \n", + "\n", + "Below we plot a sequence of updating posterior probabilities as we observe increasing amounts of data (coin flips)." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\"\"\"\n", + "The book uses a custom matplotlibrc file, which provides the unique styles for\n", + "matplotlib plots. If executing this book, and you wish to use the book's\n", + "styling, provided are two options:\n", + " 1. Overwrite your own matplotlibrc file with the rc-file provided in the\n", + " book's styles/ dir. See http://matplotlib.org/users/customizing.html\n", + " 2. Also in the styles is bmh_matplotlibrc.json file. This can be used to\n", + " update the styles in only this notebook. Try running the following code:\n", + "\n", + " import json\n", + " s = json.load(open(\"../styles/bmh_matplotlibrc.json\"))\n", + " matplotlib.rcParams.update(s)\n", + "\n", + "\"\"\"\n", + "\n", + "# The code below can be passed over, as it is currently not important, plus it\n", + "# uses advanced topics we have not covered yet. LOOK AT PICTURE, MICHAEL!\n", + "%matplotlib inline\n", + "from IPython.core.pylabtools import figsize\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "import matplotlib as mpl\n", + "mpl.style.use(\"ggplot\")\n", + "figsize(11, 9)\n", + "\n", + "import scipy.stats as stats\n", + "\n", + "dist = stats.beta\n", + "n_trials = [0, 1, 2, 3, 4, 5, 8, 15, 50, 500]\n", + "data = stats.bernoulli.rvs(0.5, size=n_trials[-1])\n", + "x = np.linspace(0, 1, 100)\n", + "\n", + "# For the already prepared, I'm using Binomial's conj. prior.\n", + "for k, N in enumerate(n_trials):\n", + " sx = plt.subplot(len(n_trials)//2, 2, k+1)\n", + " plt.xlabel(\"$p$, probability of heads\") \\\n", + " if k in [0, len(n_trials)-1] else None\n", + " plt.setp(sx.get_yticklabels(), visible=False)\n", + " heads = data[:N].sum()\n", + " y = dist.pdf(x, 1 + heads, 1 + N - heads)\n", + " plt.plot(x, y, label=\"observe %d tosses,\\n %d heads\" % (N, heads))\n", + " plt.fill_between(x, 0, y, color=\"#348ABD\", alpha=0.4)\n", + " plt.vlines(0.5, 0, 4, color=\"k\", linestyles=\"--\", lw=1)\n", + "\n", + " leg = plt.legend()\n", + " leg.get_frame().set_alpha(0.4)\n", + " plt.autoscale(tight=True)\n", + "\n", + "\n", + "plt.suptitle(\"Bayesian updating of posterior probabilities\",\n", + " y=1.02,\n", + " fontsize=14)\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The posterior probabilities are represented by the curves, and our uncertainty is proportional to the width of the curve. As the plot above shows, as we start to observe data our posterior probabilities start to shift and move around. Eventually, as we observe more and more data (coin-flips), our probabilities will tighten closer and closer around the true value of $p=0.5$ (marked by a dashed line). \n", + "\n", + "Notice that the plots are not always *peaked* at 0.5. There is no reason it should be: recall we assumed we did not have a prior opinion of what $p$ is. In fact, if we observe quite extreme data, say 8 flips and only 1 observed heads, our distribution would look very biased *away* from lumping around 0.5 (with no prior opinion, how confident would you feel betting on a fair coin after observing 8 tails and 1 head?). As more data accumulates, we would see more and more probability being assigned at $p=0.5$, though never all of it.\n", + "\n", + "The next example is a simple demonstration of the mathematics of Bayesian inference. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Bug, or just sweet, unintended feature?\n", + "\n", + "\n", + "Let $A$ denote the event that our code has **no bugs** in it. Let $X$ denote the event that the code passes all debugging tests. For now, we will leave the prior probability of no bugs as a variable, i.e. $P(A) = p$. \n", + "\n", + "We are interested in $P(A|X)$, i.e. the probability of no bugs, given our debugging tests $X$. To use the formula above, we need to compute some quantities.\n", + "\n", + "What is $P(X | A)$, i.e., the probability that the code passes $X$ tests *given* there are no bugs? Well, it is equal to 1, for a code with no bugs will pass all tests. \n", + "\n", + "$P(X)$ is a little bit trickier: The event $X$ can be divided into two possibilities, event $X$ occurring even though our code *indeed has* bugs (denoted $\\sim A\\;$, spoken *not $A$*), or event $X$ without bugs ($A$). $P(X)$ can be represented as:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "P(X ) & = P(X \\text{ and } A) + P(X \\text{ and } \\sim A) \\\\\\\\[5pt]\n", + " & = P(X|A)P(A) + P(X | \\sim A)P(\\sim A)\\\\\\\\[5pt]\n", + "& = P(X|A)p + P(X | \\sim A)(1-p)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have already computed $P(X|A)$ above. On the other hand, $P(X | \\sim A)$ is subjective: our code can pass tests but still have a bug in it, though the probability there is a bug present is reduced. Note this is dependent on the number of tests performed, the degree of complication in the tests, etc. Let's be conservative and assign $P(X|\\sim A) = 0.5$. Then\n", + "\n", + "\\begin{align}\n", + "P(A | X) & = \\frac{1\\cdot p}{ 1\\cdot p +0.5 (1-p) } \\\\\\\\\n", + "& = \\frac{ 2 p}{1+p}\n", + "\\end{align}\n", + "This is the posterior probability. What does it look like as a function of our prior, $p \\in [0,1]$? " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "p = np.linspace(0, 1, 50)\n", + "plt.plot(p, 2*p/(1+p), color=\"#348ABD\", lw=3)\n", + "#plt.fill_between(p, 2*p/(1+p), alpha=.5, facecolor=[\"#A60628\"])\n", + "plt.scatter(0.2, 2*(0.2)/1.2, s=140, c=\"#348ABD\")\n", + "plt.xlim(0, 1)\n", + "plt.ylim(0, 1)\n", + "plt.xlabel(\"Prior, $P(A) = p$\")\n", + "plt.ylabel(\"Posterior, $P(A|X)$, with $P(A) = p$\")\n", + "plt.title(\"Are there bugs in my code?\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see the biggest gains if we observe the $X$ tests passed when the prior probability, $p$, is low. Let's settle on a specific value for the prior. I'm a strong programmer (I think), so I'm going to give myself a realistic prior of 0.20, that is, there is a 20% chance that I write code bug-free. To be more realistic, this prior should be a function of how complicated and large the code is, but let's pin it at 0.20. Then my updated belief that my code is bug-free is 0.33. \n", + "\n", + "Recall that the prior is a probability: $p$ is the prior probability that there *are no bugs*, so $1-p$ is the prior probability that there *are bugs*.\n", + "\n", + "Similarly, our posterior is also a probability, with $P(A | X)$ the probability there is no bug *given we saw all tests pass*, hence $1-P(A|X)$ is the probability there is a bug *given all tests passed*. What does our posterior probability look like? Below is a chart of both the prior and the posterior probabilities. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "colours = [\"#348ABD\", \"#A60628\"]\n", + "\n", + "prior = [0.20, 0.80]\n", + "posterior = [1./3, 2./3]\n", + "plt.bar([0, .7], prior, alpha=0.70, width=0.25,\n", + " color=colours[0], label=\"prior distribution\",\n", + " lw=\"3\", edgecolor=colours[0])\n", + "\n", + "plt.bar([0+0.25, .7+0.25], posterior, alpha=0.7,\n", + " width=0.25, color=colours[1],\n", + " label=\"posterior distribution\",\n", + " lw=\"3\", edgecolor=colours[1])\n", + "\n", + "plt.xticks([0.20, .95], [\"Bugs Absent\", \"Bugs Present\"])\n", + "plt.title(\"Prior and Posterior probability of bugs present\")\n", + "plt.ylabel(\"Probability\")\n", + "plt.legend(loc=\"upper left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that after we observed $X$ occur, the probability of bugs being absent increased. By increasing the number of tests, we can approach confidence (probability 1) that there are no bugs present.\n", + "\n", + "This was a very simple example of Bayesian inference and Bayes rule. Unfortunately, the mathematics necessary to perform more complicated Bayesian inference only becomes more difficult, except for artificially constructed cases. We will later see that this type of mathematical analysis is actually unnecessary. First we must broaden our modeling tools. The next section deals with *probability distributions*. If you are already familiar, feel free to skip (or at least skim), but for the less familiar the next section is essential." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_______\n", + "\n", + "## Probability Distributions\n", + "\n", + "\n", + "**Let's quickly recall what a probability distribution is:** Let $Z$ be some random variable. Then associated with $Z$ is a *probability distribution function* that assigns probabilities to the different outcomes $Z$ can take. Graphically, a probability distribution is a curve where the probability of an outcome is proportional to the height of the curve. You can see examples in the first figure of this chapter. \n", + "\n", + "We can divide random variables into three classifications:\n", + "\n", + "- **$Z$ is discrete**: Discrete random variables may only assume values on a specified list. Things like populations, movie ratings, and number of votes are all discrete random variables. Discrete random variables become more clear when we contrast them with...\n", + "\n", + "- **$Z$ is continuous**: Continuous random variable can take on arbitrarily exact values. For example, temperature, speed, time, color are all modeled as continuous variables because you can progressively make the values more and more precise.\n", + "\n", + "- **$Z$ is mixed**: Mixed random variables assign probabilities to both discrete and continuous random variables, i.e. it is a combination of the above two categories. \n", + "\n", + "### Discrete Case\n", + "If $Z$ is discrete, then its distribution is called a *probability mass function*, which measures the probability $Z$ takes on the value $k$, denoted $P(Z=k)$. Note that the probability mass function completely describes the random variable $Z$, that is, if we know the mass function, we know how $Z$ should behave. There are popular probability mass functions that consistently appear: we will introduce them as needed, but let's introduce the first very useful probability mass function. We say $Z$ is *Poisson*-distributed if:\n", + "\n", + "$$P(Z = k) =\\frac{ \\lambda^k e^{-\\lambda} }{k!}, \\; \\; k=0,1,2, \\dots $$\n", + "\n", + "$\\lambda$ is called a parameter of the distribution, and it controls the distribution's shape. For the Poisson distribution, $\\lambda$ can be any positive number. By increasing $\\lambda$, we add more probability to larger values, and conversely by decreasing $\\lambda$ we add more probability to smaller values. One can describe $\\lambda$ as the *intensity* of the Poisson distribution. \n", + "\n", + "Unlike $\\lambda$, which can be any positive number, the value $k$ in the above formula must be a non-negative integer, i.e., $k$ must take on values 0,1,2, and so on. This is very important, because if you wanted to model a population you could not make sense of populations with 4.25 or 5.612 members. \n", + "\n", + "If a random variable $Z$ has a Poisson mass distribution, we denote this by writing\n", + "\n", + "$$Z \\sim \\text{Poi}(\\lambda) $$\n", + "\n", + "One useful property of the Poisson distribution is that its expected value is equal to its parameter, i.e.:\n", + "\n", + "$$E\\large[ \\;Z\\; | \\; \\lambda \\;\\large] = \\lambda $$\n", + "\n", + "We will use this property often, so it's useful to remember. Below, we plot the probability mass distribution for different $\\lambda$ values. The first thing to notice is that by increasing $\\lambda$, we add more probability of larger values occurring. Second, notice that although the graph ends at 15, the distributions do not. They assign positive probability to every non-negative integer." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "\n", + "import scipy.stats as stats\n", + "a = np.arange(16)\n", + "poi = stats.poisson\n", + "lambda_ = [1.5, 4.25]\n", + "colours = [\"#348ABD\", \"#A60628\"]\n", + "\n", + "plt.bar(a, poi.pmf(a, lambda_[0]), color=colours[0],\n", + " label=\"$\\lambda = %.1f$\" % lambda_[0], alpha=0.60,\n", + " edgecolor=colours[0], lw=\"3\")\n", + "\n", + "plt.bar(a, poi.pmf(a, lambda_[1]), color=colours[1],\n", + " label=\"$\\lambda = %.1f$\" % lambda_[1], alpha=0.60,\n", + " edgecolor=colours[1], lw=\"3\")\n", + "\n", + "plt.xticks(a + 0.4, a)\n", + "plt.legend()\n", + "plt.ylabel(\"probability of $k$\")\n", + "plt.xlabel(\"$k$\")\n", + "plt.title(\"Probability mass function of a Poisson random variable; differing \\\n", + "$\\lambda$ values\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Continuous Case\n", + "Instead of a probability mass function, a continuous random variable has a *probability density function*. This might seem like unnecessary nomenclature, but the density function and the mass function are very different creatures. An example of continuous random variable is a random variable with *exponential density*. The density function for an exponential random variable looks like this:\n", + "\n", + "$$f_Z(z | \\lambda) = \\lambda e^{-\\lambda z }, \\;\\; z\\ge 0$$\n", + "\n", + "Like a Poisson random variable, an exponential random variable can take on only non-negative values. But unlike a Poisson variable, the exponential can take on *any* non-negative values, including non-integral values such as 4.25 or 5.612401. This property makes it a poor choice for count data, which must be an integer, but a great choice for time data, temperature data (measured in Kelvins, of course), or any other precise *and positive* variable. The graph below shows two probability density functions with different $\\lambda$ values. \n", + "\n", + "When a random variable $Z$ has an exponential distribution with parameter $\\lambda$, we say *$Z$ is exponential* and write\n", + "\n", + "$$Z \\sim \\text{Exp}(\\lambda)$$\n", + "\n", + "Given a specific $\\lambda$, the expected value of an exponential random variable is equal to the inverse of $\\lambda$, that is:\n", + "\n", + "$$E[\\; Z \\;|\\; \\lambda \\;] = \\frac{1}{\\lambda}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a = np.linspace(0, 4, 100)\n", + "expo = stats.expon\n", + "lambda_ = [0.5, 1]\n", + "\n", + "for l, c in zip(lambda_, colours):\n", + " plt.plot(a, expo.pdf(a, scale=1./l), lw=3,\n", + " color=c, label=\"$\\lambda = %.1f$\" % l)\n", + " plt.fill_between(a, expo.pdf(a, scale=1./l), color=c, alpha=.33)\n", + "\n", + "plt.legend()\n", + "plt.ylabel(\"PDF at $z$\")\n", + "plt.xlabel(\"$z$\")\n", + "plt.ylim(0,1.2)\n", + "plt.title(\"Probability density function of an Exponential random variable;\\\n", + " differing $\\lambda$\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "### But what is $\\lambda \\;$?\n", + "\n", + "\n", + "**This question is what motivates statistics**. In the real world, $\\lambda$ is hidden from us. We see only $Z$, and must go backwards to try and determine $\\lambda$. The problem is difficult because there is no one-to-one mapping from $Z$ to $\\lambda$. Many different methods have been created to solve the problem of estimating $\\lambda$, but since $\\lambda$ is never actually observed, no one can say for certain which method is best! \n", + "\n", + "Bayesian inference is concerned with *beliefs* about what $\\lambda$ might be. Rather than try to guess $\\lambda$ exactly, we can only talk about what $\\lambda$ is likely to be by assigning a probability distribution to $\\lambda$.\n", + "\n", + "This might seem odd at first. After all, $\\lambda$ is fixed; it is not (necessarily) random! How can we assign probabilities to values of a non-random variable? Ah, we have fallen for our old, frequentist way of thinking. Recall that under Bayesian philosophy, we *can* assign probabilities if we interpret them as beliefs. And it is entirely acceptable to have *beliefs* about the parameter $\\lambda$. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "##### Example: Inferring behaviour from text-message data\n", + "\n", + "Let's try to model a more interesting example, one that concerns the rate at which a user sends and receives text messages:\n", + "\n", + "> You are given a series of daily text-message counts from a user of your system. The data, plotted over time, appears in the chart below. You are curious to know if the user's text-messaging habits have changed over time, either gradually or suddenly. How can you model this? (This is in fact my own text-message data. Judge my popularity as you wish.)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 3.5)\n", + "count_data = np.loadtxt(\"data/txtdata.csv\")\n", + "n_count_data = len(count_data)\n", + "plt.bar(np.arange(n_count_data), count_data, color=\"#348ABD\")\n", + "plt.xlabel(\"Time (days)\")\n", + "plt.ylabel(\"count of text-msgs received\")\n", + "plt.title(\"Did the user's texting habits change over time?\")\n", + "plt.xlim(0, n_count_data);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Before we start modeling, see what you can figure out just by looking at the chart above. Would you say there was a change in behaviour during this time period? \n", + "\n", + "How can we start to model this? Well, as we have conveniently already seen, a Poisson random variable is a very appropriate model for this type of *count* data. Denoting day $i$'s text-message count by $C_i$, \n", + "\n", + "$$ C_i \\sim \\text{Poisson}(\\lambda) $$\n", + "\n", + "We are not sure what the value of the $\\lambda$ parameter really is, however. Looking at the chart above, it appears that the rate might become higher late in the observation period, which is equivalent to saying that $\\lambda$ increases at some point during the observations. (Recall that a higher value of $\\lambda$ assigns more probability to larger outcomes. That is, there is a higher probability of many text messages having been sent on a given day.)\n", + "\n", + "How can we represent this observation mathematically? Let's assume that on some day during the observation period (call it $\\tau$), the parameter $\\lambda$ suddenly jumps to a higher value. So we really have two $\\lambda$ parameters: one for the period before $\\tau$, and one for the rest of the observation period. In the literature, a sudden transition like this would be called a *switchpoint*:\n", + "\n", + "$$\n", + "\\lambda = \n", + "\\begin{cases}\n", + "\\lambda_1 & \\text{if } t \\lt \\tau \\cr\n", + "\\lambda_2 & \\text{if } t \\ge \\tau\n", + "\\end{cases}\n", + "$$\n", + "\n", + "\n", + "If, in reality, no sudden change occurred and indeed $\\lambda_1 = \\lambda_2$, then the $\\lambda$s posterior distributions should look about equal.\n", + "\n", + "We are interested in inferring the unknown $\\lambda$s. To use Bayesian inference, we need to assign prior probabilities to the different possible values of $\\lambda$. What would be good prior probability distributions for $\\lambda_1$ and $\\lambda_2$? Recall that $\\lambda$ can be any positive number. As we saw earlier, the *exponential* distribution provides a continuous density function for positive numbers, so it might be a good choice for modeling $\\lambda_i$. But recall that the exponential distribution takes a parameter of its own, so we'll need to include that parameter in our model. Let's call that parameter $\\alpha$.\n", + "\n", + "\\begin{align}\n", + "&\\lambda_1 \\sim \\text{Exp}( \\alpha ) \\\\\\\n", + "&\\lambda_2 \\sim \\text{Exp}( \\alpha )\n", + "\\end{align}\n", + "\n", + "$\\alpha$ is called a *hyper-parameter* or *parent variable*. In literal terms, it is a parameter that influences other parameters. Our initial guess at $\\alpha$ does not influence the model too strongly, so we have some flexibility in our choice. A good rule of thumb is to set the exponential parameter equal to the inverse of the average of the count data. Since we're modeling $\\lambda$ using an exponential distribution, we can use the expected value identity shown earlier to get:\n", + "\n", + "$$\\frac{1}{N}\\sum_{i=0}^N \\;C_i \\approx E[\\; \\lambda \\; |\\; \\alpha ] = \\frac{1}{\\alpha}$$ \n", + "\n", + "An alternative, and something I encourage the reader to try, would be to have two priors: one for each $\\lambda_i$. Creating two exponential distributions with different $\\alpha$ values reflects our prior belief that the rate changed at some point during the observations.\n", + "\n", + "What about $\\tau$? Because of the noisiness of the data, it's difficult to pick out a priori when $\\tau$ might have occurred. Instead, we can assign a *uniform prior belief* to every possible day. This is equivalent to saying\n", + "\n", + "\\begin{align}\n", + "& \\tau \\sim \\text{DiscreteUniform(1,70) }\\\\\\\\\n", + "& \\Rightarrow P( \\tau = k ) = \\frac{1}{70}\n", + "\\end{align}\n", + "\n", + "So after all this, what does our overall prior distribution for the unknown variables look like? Frankly, *it doesn't matter*. What we should understand is that it's an ugly, complicated mess involving symbols only a mathematician could love. And things will only get uglier the more complicated our models become. Regardless, all we really care about is the posterior distribution.\n", + "\n", + "We next turn to PyMC, a Python library for performing Bayesian analysis that is undaunted by the mathematical monster we have created. \n", + "\n", + "\n", + "Introducing our first hammer: PyMC\n", + "-----\n", + "\n", + "PyMC is a Python library for programming Bayesian analysis [3]. It is a fast, well-maintained library. The only unfortunate part is that its documentation is lacking in certain areas, especially those that bridge the gap between beginner and hacker. One of this book's main goals is to solve that problem, and also to demonstrate why PyMC is so cool.\n", + "\n", + "We will model the problem above using PyMC. This type of programming is called *probabilistic programming*, an unfortunate misnomer that invokes ideas of randomly-generated code and has likely confused and frightened users away from this field. The code is not random; it is probabilistic in the sense that we create probability models using programming variables as the model's components. Model components are first-class primitives within the PyMC framework. \n", + "\n", + "B. Cronin [5] has a very motivating description of probabilistic programming:\n", + "\n", + "> Another way of thinking about this: unlike a traditional program, which only runs in the forward directions, a probabilistic program is run in both the forward and backward direction. It runs forward to compute the consequences of the assumptions it contains about the world (i.e., the model space it represents), but it also runs backward from the data to constrain the possible explanations. In practice, many probabilistic programming systems will cleverly interleave these forward and backward operations to efficiently home in on the best explanations.\n", + "\n", + "Because of the confusion engendered by the term *probabilistic programming*, I'll refrain from using it. Instead, I'll simply say *programming*, since that's what it really is. \n", + "\n", + "PyMC code is easy to read. The only novel thing should be the syntax. Simply remember that we are representing the model's components ($\\tau, \\lambda_1, \\lambda_2$ ) as variables." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "\n", + "with pm.Model() as model:\n", + " alpha = 1.0/count_data.mean() # Recall count_data is the\n", + " # variable that holds our txt counts\n", + " lambda_1 = pm.Exponential(\"lambda_1\", alpha)\n", + " lambda_2 = pm.Exponential(\"lambda_2\", alpha)\n", + " \n", + " tau = pm.DiscreteUniform(\"tau\", lower=0, upper=n_count_data - 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the code above, we create the PyMC variables corresponding to $\\lambda_1$ and $\\lambda_2$. We assign them to PyMC's *stochastic variables*, so-called because they are treated by the back end as random number generators." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with model:\n", + " idx = np.arange(n_count_data) # Index\n", + " lambda_ = pm.math.switch(tau > idx, lambda_1, lambda_2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This code creates a new function `lambda_`, but really we can think of it as a random variable: the random variable $\\lambda$ from above. The `switch()` function assigns `lambda_1` or `lambda_2` as the value of `lambda_`, depending on what side of `tau` we are on. The values of `lambda_` up until `tau` are `lambda_1` and the values afterwards are `lambda_2`.\n", + "\n", + "Note that because `lambda_1`, `lambda_2` and `tau` are random, `lambda_` will be random. We are **not** fixing any variables yet." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with model:\n", + " observation = pm.Poisson(\"obs\", lambda_, observed=count_data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The variable `observation` combines our data, `count_data`, with our proposed data-generation scheme, given by the variable `lambda_`, through the `observed` keyword. \n", + "\n", + "The code below will be explained in Chapter 3, but I show it here so you can see where our results come from. One can think of it as a *learning* step. The machinery being employed is called *Markov Chain Monte Carlo* (MCMC), which I also delay explaining until Chapter 3. This technique returns thousands of random variables from the posterior distributions of $\\lambda_1, \\lambda_2$ and $\\tau$. We can plot a histogram of the random variables to see what the posterior distributions look like. Below, we collect the samples (called *traces* in the MCMC literature) into histograms." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (4 chains in 4 jobs)\n", + "CompoundStep\n", + ">Metropolis: [lambda_1]\n", + ">Metropolis: [lambda_2]\n", + ">Metropolis: [tau]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [60000/60000 00:05<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 5_000 tune and 10_000 draw iterations (20_000 + 40_000 draws total) took 6 seconds.\n" + ] + } + ], + "source": [ + "### Mysterious code to be explained in Chapter 3.\n", + "with model:\n", + " step = pm.Metropolis()\n", + " trace = pm.sample(10000, tune=5000, step=step, return_inferencedata=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "lambda_1_samples = trace['lambda_1']\n", + "lambda_2_samples = trace['lambda_2']\n", + "tau_samples = trace['tau']" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 10)\n", + "#histogram of the samples:\n", + "\n", + "ax = plt.subplot(311)\n", + "ax.set_autoscaley_on(False)\n", + "\n", + "plt.hist(lambda_1_samples, histtype='stepfilled', bins=30, alpha=0.85,\n", + " label=\"posterior of $\\lambda_1$\", color=\"#A60628\", density=True)\n", + "plt.legend(loc=\"upper left\")\n", + "plt.title(r\"\"\"Posterior distributions of the variables\n", + " $\\lambda_1,\\;\\lambda_2,\\;\\tau$\"\"\")\n", + "plt.xlim([15, 30])\n", + "plt.xlabel(\"$\\lambda_1$ value\")\n", + "\n", + "ax = plt.subplot(312)\n", + "ax.set_autoscaley_on(False)\n", + "plt.hist(lambda_2_samples, histtype='stepfilled', bins=30, alpha=0.85,\n", + " label=\"posterior of $\\lambda_2$\", color=\"#7A68A6\", density=True)\n", + "plt.legend(loc=\"upper left\")\n", + "plt.xlim([15, 30])\n", + "plt.xlabel(\"$\\lambda_2$ value\")\n", + "\n", + "plt.subplot(313)\n", + "w = 1.0 / tau_samples.shape[0] * np.ones_like(tau_samples)\n", + "plt.hist(tau_samples, bins=n_count_data, alpha=1,\n", + " label=r\"posterior of $\\tau$\",\n", + " color=\"#467821\", weights=w, rwidth=2.)\n", + "plt.xticks(np.arange(n_count_data))\n", + "\n", + "plt.legend(loc=\"upper left\")\n", + "plt.ylim([0, .75])\n", + "plt.xlim([35, len(count_data)-20])\n", + "plt.xlabel(r\"$\\tau$ (in days)\")\n", + "plt.ylabel(\"probability\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "Recall that Bayesian methodology returns a *distribution*. Hence we now have distributions to describe the unknown $\\lambda$s and $\\tau$. What have we gained? Immediately, we can see the uncertainty in our estimates: the wider the distribution, the less certain our posterior belief should be. We can also see what the plausible values for the parameters are: $\\lambda_1$ is around 18 and $\\lambda_2$ is around 23. The posterior distributions of the two $\\lambda$s are clearly distinct, indicating that it is indeed likely that there was a change in the user's text-message behaviour.\n", + "\n", + "What other observations can you make? If you look at the original data again, do these results seem reasonable? \n", + "\n", + "Notice also that the posterior distributions for the $\\lambda$s do not look like exponential distributions, even though our priors for these variables were exponential. In fact, the posterior distributions are not really of any form that we recognize from the original model. But that's OK! This is one of the benefits of taking a computational point of view. If we had instead done this analysis using mathematical approaches, we would have been stuck with an analytically intractable (and messy) distribution. Our use of a computational approach makes us indifferent to mathematical tractability.\n", + "\n", + "Our analysis also returned a distribution for $\\tau$. Its posterior distribution looks a little different from the other two because it is a discrete random variable, so it doesn't assign probabilities to intervals. We can see that near day 45, there was a 50% chance that the user's behaviour changed. Had no change occurred, or had the change been gradual over time, the posterior distribution of $\\tau$ would have been more spread out, reflecting that many days were plausible candidates for $\\tau$. By contrast, in the actual results we see that only three or four days make any sense as potential transition points. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Why would I want samples from the posterior, anyways?\n", + "\n", + "\n", + "We will deal with this question for the remainder of the book, and it is an understatement to say that it will lead us to some amazing results. For now, let's end this chapter with one more example.\n", + "\n", + "We'll use the posterior samples to answer the following question: what is the expected number of texts at day $t, \\; 0 \\le t \\le 70$ ? Recall that the expected value of a Poisson variable is equal to its parameter $\\lambda$. Therefore, the question is equivalent to *what is the expected value of $\\lambda$ at time $t$*?\n", + "\n", + "In the code below, let $i$ index samples from the posterior distributions. Given a day $t$, we average over all possible $\\lambda_i$ for that day $t$, using $\\lambda_i = \\lambda_{1,i}$ if $t \\lt \\tau_i$ (that is, if the behaviour change has not yet occurred), else we use $\\lambda_i = \\lambda_{2,i}$. " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 5)\n", + "# tau_samples, lambda_1_samples, lambda_2_samples contain\n", + "# N samples from the corresponding posterior distribution\n", + "N = tau_samples.shape[0]\n", + "expected_texts_per_day = np.zeros(n_count_data)\n", + "for day in range(0, n_count_data):\n", + " # ix is a bool index of all tau samples corresponding to\n", + " # the switchpoint occurring prior to value of 'day'\n", + " ix = day < tau_samples\n", + " # Each posterior sample corresponds to a value for tau.\n", + " # for each day, that value of tau indicates whether we're \"before\"\n", + " # (in the lambda1 \"regime\") or\n", + " # \"after\" (in the lambda2 \"regime\") the switchpoint.\n", + " # by taking the posterior sample of lambda1/2 accordingly, we can average\n", + " # over all samples to get an expected value for lambda on that day.\n", + " # As explained, the \"message count\" random variable is Poisson distributed,\n", + " # and therefore lambda (the poisson parameter) is the expected value of\n", + " # \"message count\".\n", + " expected_texts_per_day[day] = (lambda_1_samples[ix].sum()\n", + " + lambda_2_samples[~ix].sum()) / N\n", + "\n", + "\n", + "plt.plot(range(n_count_data), expected_texts_per_day, lw=4, color=\"#E24A33\",\n", + " label=\"expected number of text-messages received\")\n", + "plt.xlim(0, n_count_data)\n", + "plt.xlabel(\"Day\")\n", + "plt.ylabel(\"Expected # text-messages\")\n", + "plt.title(\"Expected number of text-messages received\")\n", + "plt.ylim(0, 60)\n", + "plt.bar(np.arange(len(count_data)), count_data, color=\"#348ABD\", alpha=0.65,\n", + " label=\"observed texts per day\")\n", + "\n", + "plt.legend(loc=\"upper left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our analysis shows strong support for believing the user's behavior did change ($\\lambda_1$ would have been close in value to $\\lambda_2$ had this not been true), and that the change was sudden rather than gradual (as demonstrated by $\\tau$'s strongly peaked posterior distribution). We can speculate what might have caused this: a cheaper text-message rate, a recent weather-to-text subscription, or perhaps a new relationship. (In fact, the 45th day corresponds to Christmas, and I moved away to Toronto the next month, leaving a girlfriend behind.)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Exercises\n", + "\n", + "1\\. Using `lambda_1_samples` and `lambda_2_samples`, what is the mean of the posterior distributions of $\\lambda_1$ and $\\lambda_2$?" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "#type your code here." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2\\. What is the expected percentage increase in text-message rates? `hint:` compute the mean of `lambda_1_samples/lambda_2_samples`. Note that this quantity is very different from `lambda_1_samples.mean()/lambda_2_samples.mean()`." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "#type your code here." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "3\\. What is the mean of $\\lambda_1$ **given** that we know $\\tau$ is less than 45. That is, suppose we have been given new information that the change in behaviour occurred prior to day 45. What is the expected value of $\\lambda_1$ now? (You do not need to redo the PyMC part. Just consider all instances where `tau_samples < 45`.)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "#type your code here." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### References\n", + "\n", + "\n", + "- [1] Gelman, Andrew. N.p.. Web. 22 Jan 2013. [N is never large enough](http://andrewgelman.com/2005/07/31/n_is_never_larg).\n", + "- [2] Norvig, Peter. 2009. [The Unreasonable Effectiveness of Data](http://static.googleusercontent.com/media/research.google.com/en//pubs/archive/35179.pdf).\n", + "- [3] Salvatier, J, Wiecki TV, and Fonnesbeck C. (2016) Probabilistic programming in Python using PyMC3. *PeerJ Computer Science* 2:e55 \n", + "- [4] Jimmy Lin and Alek Kolcz. Large-Scale Machine Learning at Twitter. Proceedings of the 2012 ACM SIGMOD International Conference on Management of Data (SIGMOD 2012), pages 793-804, May 2012, Scottsdale, Arizona.\n", + "- [5] Cronin, Beau. \"Why Probabilistic Programming Matters.\" 24 Mar 2013. Google, Online Posting to Google . Web. 24 Mar. 2013. ." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.core.display import HTML\n", + "def css_styling():\n", + " styles = open(\"../styles/custom.css\", \"r\").read()\n", + " return HTML(styles)\n", + "css_styling()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "pymc_env", + "language": "python", + "name": "pymc_env" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC2.ipynb b/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC2.ipynb index 3bc78f7f..9c2212bf 100644 --- a/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC2.ipynb +++ b/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC2.ipynb @@ -2172,7 +2172,7 @@ "\n", "We will be doing this graphically as well, which may seem like an even less objective method. The alternative is to use *Bayesian p-values*. These are still subjective, as the proper cutoff between good and bad is arbitrary. Gelman emphasises that the graphical tests are more illuminating [7] than p-value tests. We agree.\n", "\n", - "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[8]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](http://mdwardlab.com/sites/default/files/GreenhillWardSacks.pdf), but I'll summarize their use here.\n", + "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[8]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x), but I'll summarize their use here.\n", "\n", "For each model, we calculate the proportion of times the posterior simulation proposed a value of 1 for a particular temperature, i.e. compute $P( \\;\\text{Defect} = 1 | t, \\alpha, \\beta )$ by averaging. This gives us the posterior probability of a defect at each data point in our dataset. For example, for the model we used above:" ] diff --git a/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC3.ipynb b/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC3.ipynb index 3eae5093..431b43de 100644 --- a/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC3.ipynb +++ b/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC3.ipynb @@ -2236,7 +2236,7 @@ "\n", "We will be doing this graphically as well, which may seem like an even less objective method. The alternative is to use *Bayesian p-values*. These are still subjective, as the proper cutoff between good and bad is arbitrary. Gelman emphasises that the graphical tests are more illuminating [7] than p-value tests. We agree.\n", "\n", - "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[8]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](http://mdwardlab.com/sites/default/files/GreenhillWardSacks.pdf), but I'll summarize their use here.\n", + "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[8]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x), but I'll summarize their use here.\n", "\n", "For each model, we calculate the proportion of times the posterior simulation proposed a value of 1 for a particular temperature, i.e. compute $P( \\;\\text{Defect} = 1 | t, \\alpha, \\beta )$ by averaging. This gives us the posterior probability of a defect at each data point in our dataset. For example, for the model we used above:" ] diff --git a/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC_current.ipynb b/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC_current.ipynb new file mode 100644 index 00000000..05424ddb --- /dev/null +++ b/Chapter2_MorePyMC/Ch2_MorePyMC_PyMC_current.ipynb @@ -0,0 +1,3449 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Chapter 2\n", + "======\n", + "`Original content created by Cam Davidson-Pilon`\n", + "\n", + "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", + "\n", + "`Ported to PyMC last by Kurisu Chan (@miemiekurisu)`\n", + "\n", + "___\n", + "\n", + "This chapter introduces more PyMC syntax and variables and ways to think about how to model a system from a Bayesian perspective. It also contains tips and data visualization techniques for assessing goodness-of-fit for your Bayesian model." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A little more on PyMC\n", + "\n", + "### Model Context\n", + "\n", + "In PyMC, we typically handle all the variables we want in our model within the context of the `Model` object." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "import pytensor\n", + "import numpy as np\n", + "RANDOM_SEED = 8927\n", + "rng = np.random.default_rng(RANDOM_SEED)\n", + "# %config InlineBackend.figure_format = 'retina'\n", + "# the proper way to init the value is to use initval paramter\n", + "# The test_value is just for debug\n", + "# reference is at https://pytensor.readthedocs.io/en/latest/tutorial/debug_faq.html#using-test-values\n", + "# and https://github.com/pymc-devs/pymc/issues/562#issuecomment-932146862\n", + "# You can use pytensor.config.compute_test_value = 'warn' to debug\n", + "with pm.Model() as model:\n", + " parameter = pm.Exponential(\"poisson_param\", 1.0, initval=rng.exponential(1))\n", + " data_generator = pm.Poisson(\"data_generator\", parameter)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is an extra layer of convenience compared to PyMC. Any variables created within a given `Model`'s context will be automatically assigned to that model. If you try to define a variable outside of the context of a model, you will get an error.\n", + "\n", + "We can continue to work within the context of the same model by using `with` with the name of the model object that we have already created." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "with model:\n", + " data_plus_one = data_generator + 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can examine the same variables outside of the model context once they have been defined, but to define more variables that the model will recognize they have to be within the context." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{poisson_param ~ Exp(f()): array(1.44577053),\n", + " data_generator ~ Pois(poisson_param): None}" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.initial_values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Each variable assigned to a model will be defined with its own name, the first string parameter (we will cover this further in the variables section). To create a different model object with the same name as one we have used previously, we need only run the first block of code again." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with pm.Model() as model_exp:\n", + " theta = pm.Exponential(\"theta\", 2.0)\n", + " data_generator = pm.Poisson(\"data_generator\", theta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also define an entirely separate model. Note that we are free to name our models whatever we like, so if we do not want to overwrite an old model we need only make another." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with pm.Model() as ab_testing:\n", + " p_A = pm.Uniform(\"P(A)\", 0, 1)\n", + " p_B = pm.Uniform(\"P(B)\", 0, 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You probably noticed that PyMC will often give you notifications about transformations when you add variables to your model. These transformations are done internally by PyMC to modify the space that the variable is sampled in (when we get to actually sampling the model). This is an internal feature which helps with the convergence of our samples to the posterior distribution and serves to improve the results." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "### PyMC Variables\n", + "\n", + "All PyMC variables have an initial value, if you didn't distinct the paramater `initval`, PyMC will automatically initialize it for you after. \n", + "\n", + "Using the same variables from before:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "#leave it to automatically init\n", + "with pm.Model() as model:\n", + " parameter = pm.Exponential(\"poisson_param\", 1.0)\n", + " data_generator = pm.Poisson(\"data_generator\", parameter)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "poisson_param initval is None\n", + "data_generator initval is None\n" + ] + } + ], + "source": [ + "for k,v in model.initial_values.items():\n", + " print(f\"{k} initval is {v}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "#leave it to automatically init\n", + "with pm.Model() as model:\n", + " parameter = pm.Exponential(\"poisson_param\", 1.0,initval=rng.exponential(1))\n", + " data_generator = pm.Poisson(\"data_generator\", parameter,initval=rng.poisson(10))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "poisson_param initval is 2.2597012384790296\n", + "data_generator initval is 10\n" + ] + } + ], + "source": [ + "for k,v in model.initial_values.items():\n", + " print(f\"{k} initval is {v}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `initval` parameter is used only for the model, as the starting point for sampling if no other start is specified. It will not change as a result of sampling. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{poisson_param ~ Exp(f()): array(0.5)}" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "with pm.Model() as model:\n", + " parameter = pm.Exponential(\"poisson_param\", 1.0, initval=0.5)\n", + "\n", + "#You can use initial_values to see all parameters above\n", + "model.initial_values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This can be helpful (and be also helpful to debug, as the PyTensor document reference said above) if you are using a more unstable prior that may require a better starting point.\n", + "\n", + "PyMC is concerned with two types of programming variables: stochastic and deterministic.\n", + "\n", + "* *stochastic variables* are variables that are not deterministic, i.e., even if you knew all the values of the variables' parameters and components, it would still be random. Included in this category are instances of classes `Poisson`, `DiscreteUniform`, and `Exponential`.\n", + "\n", + "* *deterministic variables* are variables that are not random if the variables' parameters and components were known. This might be confusing at first: a quick mental check is *if I knew all of variable `foo`'s component variables, I could determine what `foo`'s value is.* \n", + "\n", + "We will detail each below.\n", + "\n", + "#### Initializing Stochastic variables\n", + "\n", + "Initializing a stochastic, or random, variable requires a `name` argument, plus additional parameters that are class specific. For example:\n", + "\n", + "`some_variable = pm.DiscreteUniform(\"discrete_uni_var\", 0, 4)`\n", + "\n", + "where 0, 4 are the `DiscreteUniform`-specific lower and upper bound on the random variable. The [PyMC docs](https://docs.pymc.io/en/stable/api.html) contain the specific parameters for stochastic variables. (Or use `??` if you are using IPython!)\n", + "\n", + "The `name` attribute is used to retrieve the posterior distribution later in the analysis, so it is best to use a descriptive name. Typically, I use the Python variable's name as the `name`.\n", + "\n", + "For multivariable problems, rather than creating a Python array of stochastic variables, addressing the `shape` keyword in the call to a stochastic variable creates multivariate array of (independent) stochastic variables. The array behaves like a NumPy array when used like one, and references to its `initval` attribute return NumPy arrays. \n", + "\n", + "The `shape` argument also solves the annoying case where you may have many variables $\\beta_i, \\; i = 1,...,N$ you wish to model. Instead of creating arbitrary names and variables for each one, like:\n", + "\n", + " beta_1 = pm.Uniform(\"beta_1\", 0, 1)\n", + " beta_2 = pm.Uniform(\"beta_2\", 0, 1)\n", + " ...\n", + "\n", + "we can instead wrap them into a single variable:\n", + "\n", + " betas = pm.Uniform(\"betas\", 0, 1, shape=N)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Deterministic variables\n", + "\n", + "We can create a deterministic variable similarly to how we create a stochastic variable. We simply call up the `Deterministic` class in PyMC and pass in the function that we desire\n", + "\n", + " deterministic_variable = pm.Deterministic(\"deterministic variable\", some_function_of_variables)\n", + "\n", + "For all purposes, we can treat the object `some_deterministic_var` as a variable and not a Python function. \n", + "\n", + "Calling [`pymc.Deterministic`](https://www.pymc.io/projects/docs/en/latest/api/generated/pymc.Deterministic.html?highlight=Deterministic) is the most obvious way, but not the only way, to create deterministic variables. Elementary operations, like addition, exponentials etc. implicitly create deterministic variables. For example, the following returns a deterministic variable:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with pm.Model() as model:\n", + " lambda_1 = pm.Exponential(\"lambda_1\", 1.0,initval=0.5)\n", + " lambda_2 = pm.Exponential(\"lambda_2\", 1.0,initval=0.5)\n", + " tau = pm.DiscreteUniform(\"tau\", lower=0, upper=10)\n", + "\n", + "new_deterministic_variable = lambda_1 + lambda_2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we want a `deterministic` variable to actually be tracked by our sampling, however, we need to define it explicitly as a named `deterministic` variable with the constructor.\n", + "\n", + "The use of the `deterministic` variable was seen in the previous chapter's text-message example. Recall the model for $\\lambda$ looked like: \n", + "\n", + "$$\n", + "\\lambda = \n", + "\\begin{cases}\\lambda_1 & \\text{if } t \\lt \\tau \\cr\n", + "\\lambda_2 & \\text{if } t \\ge \\tau\n", + "\\end{cases}\n", + "$$\n", + "\n", + "And in PyMC code:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "n_data_points = 5 # in CH1 we had ~70 data points\n", + "idx = np.arange(n_data_points)\n", + "with model:\n", + " lambda_ = pm.math.switch(tau >= idx, lambda_1, lambda_2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Clearly, if $\\tau, \\lambda_1$ and $\\lambda_2$ are known, then $\\lambda$ is known completely, hence it is a deterministic variable. We use the `switch` function here to change from $\\lambda_1$ to $\\lambda_2$ at the appropriate time. This function is directly from the `pytensor.tensor.basic` package, which we will discuss in the next section.\n", + "\n", + "Inside a `deterministic` variable, the stochastic variables passed in behave like scalars or NumPy arrays (if multivariable). We can do whatever we want with them as long as the dimensions match up in our calculations.\n", + "\n", + "For example, running the following (off course you NEED to define model session firstly):\n", + "\n", + " def subtract(x, y):\n", + " return x - y\n", + " with model:\n", + " stochastic_1 = pm.Uniform(\"U_1\", 0, 1)\n", + " stochastic_2 = pm.Uniform(\"U_2\", 0, 1)\n", + "\n", + " det_1 = pm.Deterministic(\"Delta\", subtract(stochastic_1, stochastic_2))\n", + " \n", + "Is perfectly valid PyMC code. Saying that our expressions behave like NumPy arrays is not exactly honest here, however. The main catch is that the expression that we are making *must* be compatible with `pytensor` tensors, which we will cover in the next section. Feel free to define whatever functions that you need in order to compose your model. However, if you need to do any array-like calculations that would require NumPy functions, make sure you use their equivalents in `pytensor`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### PyTensor\n", + "\n", + "The majority of the heavy lifting done by PyMC is taken care of with the `pytensor` package, the next generation of `theano`. The notation in `pytensor` is remarkably similar to NumPy. It also supports many of the familiar computational elements of NumPy. However, while NumPy directly executes computations, e.g. when you run `a + b`, `pytensor` instead builds up a \"compute graph\" that tracks that you want to perform the `+` operation on the elements `a` and `b`. Only when you `eval()` a `pytensor` expression does the computation take place (i.e. `pytensor` is lazy evaluated). Once the compute graph is built, we can perform all kinds of mathematical optimizations (e.g. simplifications), compute gradients via autodiff, compile the entire graph to C to run at machine speed, and also compile it to run on the GPU. PyMC is basically a collection of `pytensor` symbolic expressions for various probability distributions that are combined to one big compute graph making up the whole model log probability, and a collection of inference algorithms that use that graph to compute probabilities and gradients. For practical purposes, what this means is that in order to build certain models we sometimes have to use `pytensor`.\n", + "\n", + "Let's write some PyMC code that involves `pytensor` calculations." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pytensor.tensor as pt\n", + "\n", + "with pm.Model() as pytensor_test:\n", + " p1 = pm.Uniform(\"p\", 0, 1)\n", + " p2 = 1 - p1\n", + " p = pt.stack([p1, p2])\n", + " \n", + " assignment = pm.Categorical(\"assignment\", p)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we use `pytensor`'s `stack()` function in the same way we would use one of NumPy's stacking functions: to combine our two separate variables, `p1` and `p2`, into a vector with $2$ elements. The stochastic `categorical` variable does not understand what we mean if we pass a NumPy array of `p1` and `p2` to it because they are both `pytensor` variables. Stacking them like this combines them into one `pytensor` variable that we can use as the complementary pair of probabilities for our two categories.\n", + "\n", + "Throughout the course of this book we use several `pytensor` functions to help construct our models. If you have more interest in looking at `pytensor` itself, be sure to check out the [documentation](https://pytensor.readthedocs.io/en/latest/).\n", + "\n", + "After these technical considerations, we can get back to defining our model!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Including observations in the Model\n", + "\n", + "At this point, it may not look like it, but we have fully specified our priors. For example, we can ask and answer questions like \"What does my prior distribution of $\\lambda_1$ look like?\" " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from IPython.core.pylabtools import figsize\n", + "import matplotlib.pyplot as plt\n", + "import scipy.stats as stats\n", + "figsize(12.5, 4)\n", + "plt.style.use(\"ggplot\")\n", + "samples = pm.draw(lambda_1, draws=20000)\n", + "plt.hist(samples, bins=70, density=True, histtype=\"stepfilled\")\n", + "plt.title(\"Prior distribution for $\\lambda_1$\")\n", + "plt.xlim(0, 8);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To frame this in the notation of the first chapter, though this is a slight abuse of notation, we have specified $P(A)$. Our next goal is to include data/evidence/observations $X$ into our model. \n", + "\n", + "PyMC stochastic variables have a keyword argument `observed`. The keyword `observed` has a very simple role: fix the variable's current value to be the given data, typically a NumPy `array` or pandas `DataFrame`. For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{lambda_1: array(0.5), lambda_2: array(0.5), tau: None}\n" + ] + } + ], + "source": [ + "data = np.array([10, 5])\n", + "with model:\n", + " fixed_variable = pm.Poisson(\"fxd\", 1, observed=data)\n", + "print(model.initial_values)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is how we include data into our models: initializing a stochastic variable to have a *fixed value*. \n", + "\n", + "To complete our text message example, we fix the PyMC variable `observations` to the observed dataset. " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{lambda_1: array(0.5), lambda_2: array(0.5), tau: None}\n" + ] + } + ], + "source": [ + "# We're using some fake data here\n", + "data = np.array([10, 25, 15, 20, 35])\n", + "with model:\n", + " obs = pm.Poisson(\"obs\", lambda_, observed=data)\n", + "print(model.initial_values)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Modeling approaches\n", + "\n", + "A good starting thought to Bayesian modeling is to think about *how your data might have been generated*. Position yourself in an omniscient position, and try to imagine how *you* would recreate the dataset. \n", + "\n", + "In the last chapter we investigated text message data. We begin by asking how our observations may have been generated:\n", + "\n", + "1. We started by thinking \"what is the best random variable to describe this count data?\" A Poisson random variable is a good candidate because it can represent count data. So we model the number of sms's received as sampled from a Poisson distribution.\n", + "\n", + "2. Next, we think, \"Ok, assuming sms's are Poisson-distributed, what do I need for the Poisson distribution?\" Well, the Poisson distribution has a parameter $\\lambda$. \n", + "\n", + "3. Do we know $\\lambda$? No. In fact, we have a suspicion that there are *two* $\\lambda$ values, one for the earlier behaviour and one for the later behaviour. We don't know when the behaviour switches though, but call the switchpoint $\\tau$.\n", + "\n", + "4. What is a good distribution for the two $\\lambda$s? The exponential is good, as it assigns probabilities to positive real numbers. Well the exponential distribution has a parameter too, call it $\\alpha$.\n", + "\n", + "5. Do we know what the parameter $\\alpha$ might be? No. At this point, we could continue and assign a distribution to $\\alpha$, but it's better to stop once we reach a set level of ignorance: whereas we have a prior belief about $\\lambda$, (\"it probably changes over time\", \"it's likely between 10 and 30\", etc.), we don't really have any strong beliefs about $\\alpha$. So it's best to stop here. \n", + "\n", + " What is a good value for $\\alpha$ then? We think that the $\\lambda$s are between 10-30, so if we set $\\alpha$ really low (which corresponds to larger probability on high values) we are not reflecting our prior well. Similar, a too-high alpha misses our prior belief as well. A good idea for $\\alpha$ as to reflect our belief is to set the value so that the mean of $\\lambda$, given $\\alpha$, is equal to our observed mean. This was shown in the last chapter.\n", + "\n", + "6. We have no expert opinion of when $\\tau$ might have occurred. So we will suppose $\\tau$ is from a discrete uniform distribution over the entire timespan.\n", + "\n", + "\n", + "Below we give a graphical visualization of this, where arrows denote `parent-child` relationships. (provided by the [Daft Python library](https://docs.daft-pgm.org/en/latest/) )\n", + "\n", + "\n", + "\n", + "\n", + "PyMC, and other probabilistic programming languages, have been designed to tell these data-generation *stories*. More generally, B. Cronin writes [5]:\n", + "\n", + "> Probabilistic programming will unlock narrative explanations of data, one of the holy grails of business analytics and the unsung hero of scientific persuasion. People think in terms of stories - thus the unreasonable power of the anecdote to drive decision-making, well-founded or not. But existing analytics largely fails to provide this kind of story; instead, numbers seemingly appear out of thin air, with little of the causal context that humans prefer when weighing their options." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Same story; different ending.\n", + "\n", + "Interestingly, we can create *new datasets* by retelling the story.\n", + "For example, if we reverse the above steps, we can simulate a possible realization of the dataset.\n", + "\n", + "1\\. Specify when the user's behaviour switches by sampling from $\\text{DiscreteUniform}(0, 80)$:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "68\n" + ] + } + ], + "source": [ + "tau = np.random.randint(0, 80)\n", + "print(tau)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2\\. Draw $\\lambda_1$ and $\\lambda_2$ from an $\\text{Exp}(\\alpha)$ distribution:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "25.90695930270913 4.308298783985128\n" + ] + } + ], + "source": [ + "alpha = 1./20.\n", + "lambda_1, lambda_2 = np.random.exponential(scale=1/alpha, size=2)\n", + "print(lambda_1, lambda_2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "3\\. For days before $\\tau$, represent the user's received SMS count by sampling from $\\text{Poi}(\\lambda_1)$, and sample from $\\text{Poi}(\\lambda_2)$ for days after $\\tau$. For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "data = np.r_[stats.poisson.rvs(mu=lambda_1, size=tau), stats.poisson.rvs(mu=lambda_2, size = 80 - tau)]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "4\\. Plot the artificial dataset:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.bar(np.arange(80), data, color=\"#348ABD\")\n", + "plt.bar(tau-1, data[tau - 1], color=\"r\", label=\"user behaviour changed\")\n", + "plt.xlabel(\"Time (days)\")\n", + "plt.ylabel(\"count of text-msgs received\")\n", + "plt.title(\"Artificial dataset\")\n", + "plt.xlim(0, 80)\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is okay that our fictional dataset does not look like our observed dataset: the probability is incredibly small it indeed would. PyMC's engine is designed to find good parameters, $\\lambda_i, \\tau$, that maximize this probability. \n", + "\n", + "\n", + "The ability to generate artificial dataset is an interesting side effect of our modeling, and we will see that this ability is a very important method of Bayesian inference. We produce a few more datasets below:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_artificial_sms_dataset():\n", + " tau = stats.randint.rvs(0, 80)\n", + " alpha = 1./20.\n", + " lambda_1, lambda_2 = stats.expon.rvs(scale=1/alpha, size=2)\n", + " data = np.r_[stats.poisson.rvs(mu=lambda_1, size=tau), stats.poisson.rvs(mu=lambda_2, size=80 - tau)]\n", + " plt.bar(np.arange(80), data, color=\"#348ABD\")\n", + " plt.bar(tau - 1, data[tau-1], color=\"r\", label=\"user behaviour changed\")\n", + " plt.xlim(0, 80);\n", + "\n", + "figsize(12.5, 5)\n", + "plt.title(\"More example of artificial datasets\")\n", + "for i in range(4):\n", + " plt.subplot(4, 1, i+1)\n", + " plot_artificial_sms_dataset()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Later we will see how we use this to make predictions and test the appropriateness of our models." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Bayesian A/B testing\n", + "\n", + "A/B testing is a statistical design pattern for determining the difference of effectiveness between two different treatments. For example, a pharmaceutical company is interested in the effectiveness of drug A vs drug B. The company will test drug A on some fraction of their trials, and drug B on the other fraction (this fraction is often 1/2, but we will relax this assumption). After performing enough trials, the in-house statisticians sift through the data to determine which drug yielded better results. \n", + "\n", + "Similarly, front-end web developers are interested in which design of their website yields more sales or some other metric of interest. They will route some fraction of visitors to site A, and the other fraction to site B, and record if the visit yielded a sale or not. The data is recorded (in real-time), and analyzed afterwards. \n", + "\n", + "Often, the post-experiment analysis is done using something called a hypothesis test like *difference of means test* or *difference of proportions test*. This involves often misunderstood quantities like a \"Z-score\" and even more confusing \"p-values\" (please don't ask). If you have taken a statistics course, you have probably been taught this technique (though not necessarily *learned* this technique). And if you were like me, you may have felt uncomfortable with their derivation -- good: the Bayesian approach to this problem is much more natural. \n", + "\n", + "### A Simple Case\n", + "\n", + "As this is a hacker book, we'll continue with the web-dev example. For the moment, we will focus on the analysis of site A only. Assume that there is some true $0 \\lt p_A \\lt 1$ probability that users who, upon shown site A, eventually purchase from the site. This is the true effectiveness of site A. Currently, this quantity is unknown to us. \n", + "\n", + "Suppose site A was shown to $N$ people, and $n$ people purchased from the site. One might conclude hastily that $p_A = \\frac{n}{N}$. Unfortunately, the *observed frequency* $\\frac{n}{N}$ does not necessarily equal $p_A$ -- there is a difference between the *observed frequency* and the *true frequency* of an event. The true frequency can be interpreted as the probability of an event occurring. For example, the true frequency of rolling a 1 on a 6-sided die is $\\frac{1}{6}$. Knowing the true frequency of events like:\n", + "\n", + "- fraction of users who make purchases, \n", + "- frequency of social attributes, \n", + "- percent of internet users with cats etc. \n", + "\n", + "are common requests we ask of Nature. Unfortunately, often Nature hides the true frequency from us and we must *infer* it from observed data.\n", + "\n", + "The *observed frequency* is then the frequency we observe: say rolling the die 100 times you may observe 20 rolls of 1. The observed frequency, 0.2, differs from the true frequency, $\\frac{1}{6}$. We can use Bayesian statistics to infer probable values of the true frequency using an appropriate prior and observed data.\n", + "\n", + "\n", + "With respect to our A/B example, we are interested in using what we know, $N$ (the total trials administered) and $n$ (the number of conversions), to estimate what $p_A$, the true frequency of buyers, might be. \n", + "\n", + "To setup a Bayesian model, we need to assign prior distributions to our unknown quantities. *A priori*, what do we think $p_A$ might be? For this example, we have no strong conviction about $p_A$, so for now, let's assume $p_A$ is uniform over [0,1]:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "# The parameters are the bounds of the Uniform.\n", + "with pm.Model() as model:\n", + " p = pm.Uniform('p')#, lower=0, upper=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Had we had stronger beliefs, we could have expressed them in the prior above.\n", + "\n", + "For this example, consider $p_A = 0.05$, and $N = 1500$ users shown site A, and we will simulate whether the user made a purchase or not. To simulate this from $N$ trials, we will use a *Bernoulli* distribution: if $X\\ \\sim \\text{Ber}(p)$, then $X$ is 1 with probability $p$ and 0 with probability $1 - p$. Of course, in practice we do not know $p_A$, but we will use it here to simulate the data." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0 0 0 ... 0 0 0]\n", + "91\n" + ] + } + ], + "source": [ + "#set constants\n", + "p_true = 0.05 # remember, this is unknown.\n", + "N = 1500\n", + "\n", + "# sample N Bernoulli random variables from Ber(0.05).\n", + "# each random variable has a 0.05 chance of being a 1.\n", + "# this is the data-generation step\n", + "occurrences = stats.bernoulli.rvs(p_true, size=N)\n", + "\n", + "print(occurrences) # Remember: Python treats True == 1, and False == 0\n", + "print(np.sum(occurrences))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The observed frequency is:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "What is the observed frequency in Group A? 0.0607\n", + "Does this equal the true frequency? False\n" + ] + } + ], + "source": [ + "# Occurrences.mean is equal to n/N.\n", + "print(\"What is the observed frequency in Group A? %.4f\" % np.mean(occurrences))\n", + "print(\"Does this equal the true frequency? %s\" % (np.mean(occurrences) == p_true))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We combine the observations into the PyMC `observed` variable, and run our inference algorithm:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "with model:\n", + " observed = pm.Bernoulli(\"obs\", p, observed=occurrences)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (3 chains in 4 jobs)\n", + "Metropolis: [p]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [57000/57000 00:02<00:00 Sampling 3 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 3 chains for 1_000 tune and 18_000 draw iterations (3_000 + 54_000 draws total) took 3 seconds.\n" + ] + } + ], + "source": [ + "#include the observations, which are Bernoulli\n", + "with model:\n", + " # To be explained in chapter 3\n", + " step = pm.Metropolis()\n", + " trace = pm.sample(18000,step=step,chains=3) #default value of chains is 2, runs independent chains\n", + " # We have a new data structure to burn in pymc current\n", + " # if you use return_inferencedata=False, the code below will still work, but for little ArviZ, let's use the default True value.\n", + " # burned_trace = trace[1000:] " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We plot the posterior distribution of the unknown $p_A$ below:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5,4)\n", + "plt.title(\"Posterior distribution of $p_A$, the true effectiveness of site A\")\n", + "plt.vlines(p_true, 0, 90, linestyle=\"--\", label=\"true $p_A$ (unknown)\",color='black')\n", + "combine_3_chains = np.concatenate(trace.posterior.p.data[:,1000:])\n", + "plt.hist( combine_3_chains, bins=25, histtype=\"stepfilled\", density=True)\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our posterior distribution puts most weight near the true value of $p_A$, but also some weights in the tails. This is a measure of how uncertain we should be, given our observations. Try changing the number of observations, `N`, and observe how the posterior distribution changes.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The new PyMC (>=4) provids an amazing visualization tool be called `arviz`, can be used to do the trace analyze:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 263, + "width": 715 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "import arviz as az\n", + "%config InlineBackend.figure_format = 'retina'\n", + "# az.style.use(\"arviz-darkgrid\")\n", + "\n", + "az.plot_trace(trace, figsize=(12.5, 4));\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can clearly see the three independent chains left above." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "image/png": { + "height": 270, + "width": 711 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.lines as lines\n", + "\n", + "ax=az.plot_posterior(trace, var_names=['p'], kind='hist',bins=25,figsize=(12.5,4))\n", + "ax.set_title(\"Posterior distribution of $p_A$, the true effectiveness of site A\")\n", + "ax.vlines(0.05,0, 1800,colors='green',linestyle=\"--\", label=\"true $p_A$ (unknown)\")\n", + "ax.legend()\n", + "ax.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "### *A* and *B* Together\n", + "\n", + "A similar analysis can be done for site B's response data to determine the analogous $p_B$. But what we are really interested in is the *difference* between $p_A$ and $p_B$. Let's infer $p_A$, $p_B$, *and* $\\text{delta} = p_A - p_B$, all at once. We can do this using PyMC's deterministic variables. (We'll assume for this exercise that $p_B = 0.04$, so $\\text{delta} = 0.01$, $N_B = 750$ (significantly less than $N_A$) and we will simulate site B's data like we did for site A's data )" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Obs from Site A: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] ...\n", + "Obs from Site B: [0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0] ...\n" + ] + } + ], + "source": [ + "import pymc as pm\n", + "figsize(12, 4)\n", + "\n", + "#these two quantities are unknown to us.\n", + "true_p_A = 0.05\n", + "true_p_B = 0.04\n", + "\n", + "#notice the unequal sample sizes -- no problem in Bayesian analysis.\n", + "N_A = 1500\n", + "N_B = 750\n", + "\n", + "#generate some observations\n", + "observations_A = stats.bernoulli.rvs(true_p_A, size=N_A)\n", + "observations_B = stats.bernoulli.rvs(true_p_B, size=N_B)\n", + "print(\"Obs from Site A: \", observations_A[:30], \"...\")\n", + "print(\"Obs from Site B: \", observations_B[:30], \"...\")" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.04733333333333333\n", + "0.04933333333333333\n" + ] + } + ], + "source": [ + "print(np.mean(observations_A))\n", + "print(np.mean(observations_B))" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (2 chains in 4 jobs)\n", + "CompoundStep\n", + ">Metropolis: [p_A]\n", + ">Metropolis: [p_B]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [42000/42000 00:04<00:00 Sampling 2 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 2 chains for 1_000 tune and 20_000 draw iterations (2_000 + 40_000 draws total) took 4 seconds.\n" + ] + } + ], + "source": [ + "# Set up the pymc model. Again assume Uniform priors for p_A and p_B.\n", + "with pm.Model() as model:\n", + " p_A = pm.Uniform(\"p_A\", 0, 1)\n", + " p_B = pm.Uniform(\"p_B\", 0, 1)\n", + " \n", + " # Define the deterministic delta function. This is our unknown of interest.\n", + " delta = pm.Deterministic(\"delta\", p_A - p_B)\n", + "\n", + " \n", + " # Set of observations, in this case we have two observation datasets.\n", + " obs_A = pm.Bernoulli(\"obs_A\", p_A, observed=observations_A)\n", + " obs_B = pm.Bernoulli(\"obs_B\", p_B, observed=observations_B)\n", + "\n", + " # To be explained in chapter 3.\n", + " step = pm.Metropolis()\n", + " trace = pm.sample(20000, step=step,chains=2)\n", + " # if you use return_inferencedata=False, the code below will still work, but for little ArviZ, let's use the default True value.\n", + " #burned_trace=trace[1000:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below we plot the posterior distributions for the three unknowns: " + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "p_A_samples = np.concatenate(trace.posterior.p_A.data[:,1000:])\n", + "p_B_samples = np.concatenate(trace.posterior.p_B.data[:,1000:])\n", + "delta_samples = np.concatenate(trace.posterior.delta.data[:,1000:])" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 592, + "width": 742 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5,10)\n", + "\n", + "#histogram of posteriors\n", + "\n", + "ax = plt.subplot(311)\n", + "\n", + "plt.xlim(0, .1)\n", + "plt.hist(p_A_samples, histtype='stepfilled', bins=25, alpha=0.85,\n", + " label=\"posterior of $p_A$\", color=\"#A60628\", density=True)\n", + "plt.vlines(true_p_A, 0, 80, linestyle=\"--\", label=\"true $p_A$ (unknown)\")\n", + "plt.legend(loc=\"upper right\")\n", + "plt.title(\"Posterior distributions of $p_A$, $p_B$, and delta unknowns\")\n", + "\n", + "ax = plt.subplot(312)\n", + "\n", + "plt.xlim(0, .1)\n", + "plt.hist(p_B_samples, histtype='stepfilled', bins=25, alpha=0.85,\n", + " label=\"posterior of $p_B$\", color=\"#467821\", density=True)\n", + "plt.vlines(true_p_B, 0, 80, linestyle=\"--\", label=\"true $p_B$ (unknown)\")\n", + "plt.legend(loc=\"upper right\")\n", + "\n", + "ax = plt.subplot(313)\n", + "plt.hist(delta_samples, histtype='stepfilled', bins=30, alpha=0.85,\n", + " label=\"posterior of delta\", color=\"#7A68A6\", density=True)\n", + "plt.vlines(true_p_A - true_p_B, 0, 60, linestyle=\"--\",\n", + " label=\"true delta (unknown)\")\n", + "plt.vlines(0, 0, 60, color=\"black\", alpha=0.2)\n", + "plt.legend(loc=\"upper right\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that as a result of `N_B < N_A`, i.e. we have less data from site B, our posterior distribution of $p_B$ is fatter, implying we are less certain about the true value of $p_B$ than we are of $p_A$. \n", + "\n", + "With respect to the posterior distribution of $\\text{delta}$, we can see that the majority of the distribution is above $\\text{delta}=0$, implying there site A's response is likely better than site B's response. The probability this inference is incorrect is easily computable:" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability site A is WORSE than site B: 0.604\n", + "Probability site A is BETTER than site B: 0.396\n" + ] + } + ], + "source": [ + "# Count the number of samples less than 0, i.e. the area under the curve\n", + "# before 0, represent the probability that site A is worse than site B.\n", + "print(\"Probability site A is WORSE than site B: %.3f\" % \\\n", + " np.mean(delta_samples < 0))\n", + "\n", + "print(\"Probability site A is BETTER than site B: %.3f\" % \\\n", + " np.mean(delta_samples > 0))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If this probability is too high for comfortable decision-making, we can perform more trials on site B (as site B has less samples to begin with, each additional data point for site B contributes more inferential \"power\" than each additional data point for site A). \n", + "\n", + "Try playing with the parameters `true_p_A`, `true_p_B`, `N_A`, and `N_B`, to see what the posterior of $\\text{delta}$ looks like. Notice in all this, the difference in sample sizes between site A and site B was never mentioned: it naturally fits into Bayesian analysis.\n", + "\n", + "I hope the readers feel this style of A/B testing is more natural than hypothesis testing, which has probably confused more than helped practitioners. Later in this book, we will see two extensions of this model: the first to help dynamically adjust for bad sites, and the second will improve the speed of this computation by reducing the analysis to a single equation. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## An algorithm for human deceit\n", + "\n", + "Social data has an additional layer of interest as people are not always honest with responses, which adds a further complication into inference. For example, simply asking individuals \"Have you ever cheated on a test?\" will surely contain some rate of dishonesty. What you can say for certain is that the true rate is less than your observed rate (assuming individuals lie *only* about *not cheating*; I cannot imagine one who would admit \"Yes\" to cheating when in fact they hadn't cheated). \n", + "\n", + "To present an elegant solution to circumventing this dishonesty problem, and to demonstrate Bayesian modeling, we first need to introduce the binomial distribution.\n", + "\n", + "### The Binomial Distribution\n", + "\n", + "The binomial distribution is one of the most popular distributions, mostly because of its simplicity and usefulness. Unlike the other distributions we have encountered thus far in the book, the binomial distribution has 2 parameters: $N$, a positive integer representing $N$ trials or number of instances of potential events, and $p$, the probability of an event occurring in a single trial. Like the Poisson distribution, it is a discrete distribution, but unlike the Poisson distribution, it only weighs integers from $0$ to $N$. The mass distribution looks like:\n", + "\n", + "$$P( X = k ) = {{N}\\choose{k}} p^k(1-p)^{N-k}$$\n", + "\n", + "If $X$ is a binomial random variable with parameters $p$ and $N$, denoted $X \\sim \\text{Bin}(N,p)$, then $X$ is the number of events that occurred in the $N$ trials (obviously $0 \\le X \\le N$). The larger $p$ is (while still remaining between 0 and 1), the more events are likely to occur. The expected value of a binomial is equal to $Np$. Below we plot the mass probability distribution for varying parameters. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 281, + "width": 507 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(8, 4)\n", + "\n", + "import scipy.stats as stats\n", + "binomial = stats.binom\n", + "\n", + "parameters = [(10, .4), (10, .9)]\n", + "colors = [\"#348ABD\", \"#A60628\"]\n", + "\n", + "for i in range(2):\n", + " N, p = parameters[i]\n", + " _x = np.arange(N + 1)\n", + " plt.bar(_x - 0.5, binomial.pmf(_x, N, p), color=colors[i],\n", + " edgecolor=colors[i],\n", + " alpha=0.6,\n", + " label=\"$N$: %d, $p$: %.1f\" % (N, p),\n", + " linewidth=3)\n", + "\n", + "plt.legend(loc=\"upper left\")\n", + "plt.xlim(0, 10.5)\n", + "plt.xlabel(\"$k$\")\n", + "plt.ylabel(\"$P(X = k)$\")\n", + "plt.title(\"Probability mass distributions of binomial random variables\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The special case when $N = 1$ corresponds to the Bernoulli distribution. There is another connection between Bernoulli and Binomial random variables. If we have $X_1, X_2, ... , X_N$ Bernoulli random variables with the same $p$, then $Z = X_1 + X_2 + ... + X_N \\sim \\text{Binomial}(N, p )$.\n", + "\n", + "The expected value of a Bernoulli random variable is $p$. This can be seen by noting the more general Binomial random variable has expected value $Np$ and setting $N=1$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Cheating among students\n", + "\n", + "We will use the binomial distribution to determine the frequency of students cheating during an exam. If we let $N$ be the total number of students who took the exam, and assuming each student is interviewed post-exam (answering without consequence), we will receive integer $X$ \"Yes I did cheat\" answers. We then find the posterior distribution of $p$, given $N$, some specified prior on $p$, and observed data $X$. \n", + "\n", + "This is a completely absurd model. No student, even with a free-pass against punishment, would admit to cheating. What we need is a better *algorithm* to ask students if they had cheated. Ideally the algorithm should encourage individuals to be honest while preserving privacy. The following proposed algorithm is a solution I greatly admire for its ingenuity and effectiveness:\n", + "\n", + "> In the interview process for each student, the student flips a coin, hidden from the interviewer. The student agrees to answer honestly if the coin comes up heads. Otherwise, if the coin comes up tails, the student (secretly) flips the coin again, and answers \"Yes, I did cheat\" if the coin flip lands heads, and \"No, I did not cheat\", if the coin flip lands tails. This way, the interviewer does not know if a \"Yes\" was the result of a guilty plea, or a Heads on a second coin toss. Thus privacy is preserved and the researchers receive honest answers. \n", + "\n", + "I call this the Privacy Algorithm. One could of course argue that the interviewers are still receiving false data since some *Yes*'s are not confessions but instead randomness, but an alternative perspective is that the researchers are discarding approximately half of their original dataset since half of the responses will be noise. But they have gained a systematic data generation process that can be modeled. Furthermore, they do not have to incorporate (perhaps somewhat naively) the possibility of deceitful answers. We can use PyMC to dig through this noisy model, and find a posterior distribution for the true frequency of liars. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Suppose 100 students are being surveyed for cheating, and we wish to find $p$, the proportion of cheaters. There are a few ways we can model this in PyMC. I'll demonstrate the most explicit way, and later show a simplified version. Both versions arrive at the same inference. In our data-generation model, we sample $p$, the true proportion of cheaters, from a prior. Since we are quite ignorant about $p$, we will assign it a $\\text{Uniform}(0,1)$ prior." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "N = 100\n", + "with pm.Model() as model:\n", + " p = pm.Uniform(\"freq_cheating\", 0, 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, thinking of our data-generation model, we assign Bernoulli random variables to the 100 students: 1 implies they cheated and 0 implies they did not. " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with model:\n", + " true_answers = pm.Bernoulli(\"truths\", p, shape=N, initval=np.random.binomial(1, 0.5, N))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we carry out the algorithm, the next step that occurs is the first coin-flip each student makes. This can be modeled again by sampling 100 Bernoulli random variables with $p=1/2$: denote a 1 as a *Heads* and 0 a *Tails*." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1\n", + " 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0\n", + " 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 1]\n" + ] + } + ], + "source": [ + "with model:\n", + " first_coin_flips = pm.Bernoulli(\"first_flips\", 0.5, shape=N, initval=np.random.binomial(1, 0.5, N))\n", + " \n", + "print(pm.draw(first_coin_flips))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Although *not everyone* flips a second time, we can still model the possible realization of second coin-flips:" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with model:\n", + " second_coin_flips = pm.Bernoulli(\"second_flips\", 0.5, shape=N, initval=np.random.binomial(1, 0.5, N))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using these variables, we can return a possible realization of the *observed proportion* of \"Yes\" responses. We do this using a PyMC `deterministic` variable:" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pytensor.tensor as at\n", + "with model:\n", + " val = first_coin_flips*true_answers + (1 - first_coin_flips)*second_coin_flips\n", + " observed_proportion = pm.Deterministic(\"observed_proportion\", at.sum(val)/float(N))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The line `fc*t_a + (1-fc)*sc` contains the heart of the Privacy algorithm. Elements in this array are 1 *if and only if* i) the first toss is heads and the student cheated or ii) the first toss is tails, and the second is heads, and are 0 else. Finally, the last line sums this vector and divides by `float(N)`, produces a proportion. " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{freq_cheating ~ U(0, 1): None,\n", + " truths ~ Bern(freq_cheating): array([1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1,\n", + " 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1,\n", + " 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1,\n", + " 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1,\n", + " 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1]),\n", + " first_flips ~ Bern(0.5): array([0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0,\n", + " 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0,\n", + " 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0,\n", + " 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", + " 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1]),\n", + " second_flips ~ Bern(0.5): array([0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1,\n", + " 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0,\n", + " 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0,\n", + " 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0,\n", + " 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0])}" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.initial_values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we need a dataset. After performing our coin-flipped interviews the researchers received 35 \"Yes\" responses. To put this into a relative perspective, if there truly were no cheaters, we should expect to see on average 1/4 of all responses being a \"Yes\" (half chance of having first coin land Tails, and another half chance of having second coin land Heads), so about 25 responses in a cheat-free world. On the other hand, if *all students cheated*, we should expected to see approximately 3/4 of all responses be \"Yes\". \n", + "\n", + "The researchers observe a Binomial random variable, with `N = 100` and `p = observed_proportion` with `value = 35`: " + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "X = 35\n", + "\n", + "with model:\n", + " observations = pm.Binomial(\"obs\", N, observed_proportion, observed=X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below we add all the variables of interest to a `Model` container and run our black-box algorithm over the model. " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "CompoundStep\n", + ">Metropolis: [freq_cheating]\n", + ">BinaryGibbsMetropolis: [truths, first_flips, second_flips]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [41000/41000 06:38<00:00 Sampling chain 0, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 1 chain for 1_000 tune and 40_000 draw iterations (1_000 + 40_000 draws total) took 398 seconds.\n" + ] + } + ], + "source": [ + "# To be explained in Chapter 3!\n", + "with model:\n", + " step = pm.Metropolis(vars=[p])\n", + " trace = pm.sample(40000, step=step,chains=1)\n", + " # burned_trace = trace[15000:]\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "image/png": { + "height": 193, + "width": 733 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 3)\n", + "p_trace = np.concatenate(trace.posterior.freq_cheating.data[:,15000:]) #burned_trace[\"freq_cheating\"][15000:]\n", + "plt.hist(p_trace, histtype=\"stepfilled\", density=True, alpha=0.85, bins=30, \n", + " label=\"posterior distribution\", color=\"#348ABD\")\n", + "plt.vlines([.05, .35], [0, 0], [5, 5], alpha=0.3)\n", + "plt.xlim(0, 1)\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With regards to the above plot, we are still pretty uncertain about what the true frequency of cheaters might be, but we have narrowed it down to a range between 0.05 to 0.35 (marked by the solid lines). This is pretty good, as *a priori* we had no idea how many students might have cheated (hence the uniform distribution for our prior). On the other hand, it is also pretty bad since there is a .3 length window the true value most likely lives in. Have we even gained anything, or are we still too uncertain about the true frequency? \n", + "\n", + "I would argue, yes, we have discovered something. It is implausible, according to our posterior, that there are *no cheaters*, i.e. the posterior assigns low probability to $p=0$. Since we started with an uniform prior, treating all values of $p$ as equally plausible, but the data ruled out $p=0$ as a possibility, we can be confident that there were cheaters. \n", + "\n", + "This kind of algorithm can be used to gather private information from users and be *reasonably* confident that the data, though noisy, is truthful. \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Alternative PyMC Model\n", + "\n", + "Given a value for $p$ (which from our god-like position we know), we can find the probability the student will answer yes: \n", + "\n", + "\\begin{align}\n", + "P(\\text{\"Yes\"}) = & P( \\text{Heads on first coin} )P( \\text{cheater} ) + P( \\text{Tails on first coin} )P( \\text{Heads on second coin} ) \\\\\\\\\n", + "& = \\frac{1}{2}p + \\frac{1}{2}\\frac{1}{2}\\\\\\\\\n", + "& = \\frac{p}{2} + \\frac{1}{4}\n", + "\\end{align}\n", + "\n", + "Thus, knowing $p$ we know the probability a student will respond \"Yes\". In PyMC, we can create a deterministic function to evaluate the probability of responding \"Yes\", given $p$:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with pm.Model() as model:\n", + " p = pm.Uniform(\"freq_cheating\", 0, 1)\n", + " p_skewed = pm.Deterministic(\"p_skewed\", 0.5*p + 0.25)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I could have typed `p_skewed = 0.5*p + 0.25` instead for a one-liner, as the elementary operations of addition and scalar multiplication will implicitly create a `deterministic` variable, but I wanted to make the deterministic boilerplate explicit for clarity's sake. \n", + "\n", + "If we know the probability of respondents saying \"Yes\", which is `p_skewed`, and we have $N=100$ students, the number of \"Yes\" responses is a binomial random variable with parameters `N` and `p_skewed`.\n", + "\n", + "This is where we include our observed 35 \"Yes\" responses. In the declaration of the `pm.Binomial`, we include `value = 35` and `observed = True`." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "with model:\n", + " yes_responses = pm.Binomial(\"number_cheaters\", 100, p_skewed, observed=35)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below we add all the variables of interest to a `Model` container and run our black-box algorithm over the model. " + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (4 chains in 4 jobs)\n", + "Metropolis: [freq_cheating]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [104000/104000 00:04<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 25_000 draw iterations (4_000 + 100_000 draws total) took 5 seconds.\n" + ] + } + ], + "source": [ + "with model:\n", + " # To Be Explained in Chapter 3!\n", + " step = pm.Metropolis()\n", + " # the new kwarg tune means drop the first 2500 unstable data\n", + " trace = pm.sample(25000, step=step,tune=2500)\n", + " # burned_trace = trace[2500:]" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 193, + "width": 733 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 3)\n", + "p_trace = np.concatenate(trace.posterior.freq_cheating.data[:,:])# burned_trace[\"freq_cheating\"]\n", + "plt.hist(p_trace, histtype=\"stepfilled\", density=True, alpha=0.85, bins=30, \n", + " label=\"posterior distribution\", color=\"#348ABD\")\n", + "plt.vlines([.05, .35], [0, 0], [5, 5], alpha=0.2)\n", + "plt.xlim(0, 1)\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### More PyMC Tricks\n", + "\n", + "#### Protip: Arrays of PyMC variables\n", + "There is no reason why we cannot store multiple heterogeneous PyMC variables in a Numpy array. Just remember to set the `dtype` of the array to `object` upon initialization. For example:\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "N = 10\n", + "x = np.ones(N, dtype=object)\n", + "with pm.Model() as model:\n", + " for i in range(0, N):\n", + " x[i] = pm.Exponential('x_%i' % i, (i+1.0)**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The remainder of this chapter examines some practical examples of PyMC and PyMC modeling:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "##### Example: Challenger Space Shuttle Disaster \n", + "\n", + "On January 28, 1986, the twenty-fifth flight of the U.S. space shuttle program ended in disaster when one of the rocket boosters of the Shuttle Challenger exploded shortly after lift-off, killing all seven crew members. The presidential commission on the accident concluded that it was caused by the failure of an O-ring in a field joint on the rocket booster, and that this failure was due to a faulty design that made the O-ring unacceptably sensitive to a number of factors including outside temperature. Of the previous 24 flights, data were available on failures of O-rings on 23, (one was lost at sea), and these data were discussed on the evening preceding the Challenger launch, but unfortunately only the data corresponding to the 7 flights on which there was a damage incident were considered important and these were thought to show no obvious trend. The data are shown below (see [1]):\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Temp (F), O-Ring failure?\n", + "[[66. 0.]\n", + " [70. 1.]\n", + " [69. 0.]\n", + " [68. 0.]\n", + " [67. 0.]\n", + " [72. 0.]\n", + " [73. 0.]\n", + " [70. 0.]\n", + " [57. 1.]\n", + " [63. 1.]\n", + " [70. 1.]\n", + " [78. 0.]\n", + " [67. 0.]\n", + " [53. 1.]\n", + " [67. 0.]\n", + " [75. 0.]\n", + " [70. 0.]\n", + " [81. 0.]\n", + " [76. 0.]\n", + " [79. 0.]\n", + " [75. 1.]\n", + " [76. 0.]\n", + " [58. 1.]]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 254, + "width": 741 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 3.5)\n", + "np.set_printoptions(precision=3, suppress=True)\n", + "challenger_data = np.genfromtxt(\"data/challenger_data.csv\", skip_header=1,\n", + " usecols=[1, 2], missing_values=\"NA\",\n", + " delimiter=\",\")\n", + "#drop the NA values\n", + "challenger_data = challenger_data[~np.isnan(challenger_data[:, 1])]\n", + "\n", + "#plot it, as a function of tempature (the first column)\n", + "print(\"Temp (F), O-Ring failure?\")\n", + "print(challenger_data)\n", + "\n", + "plt.scatter(challenger_data[:, 0], challenger_data[:, 1], s=75, color=\"k\",\n", + " alpha=0.5)\n", + "plt.yticks([0, 1])\n", + "plt.ylabel(\"Damage Incident?\")\n", + "plt.xlabel(\"Outside temperature (Fahrenheit)\")\n", + "plt.title(\"Defects of the Space Shuttle O-Rings vs temperature\");\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It looks clear that *the probability* of damage incidents occurring increases as the outside temperature decreases. We are interested in modeling the probability here because it does not look like there is a strict cutoff point between temperature and a damage incident occurring. The best we can do is ask \"At temperature $t$, what is the probability of a damage incident?\". The goal of this example is to answer that question.\n", + "\n", + "We need a function of temperature, call it $p(t)$, that is bounded between 0 and 1 (so as to model a probability) and changes from 1 to 0 as we increase temperature. There are actually many such functions, but the most popular choice is the *logistic function.*\n", + "\n", + "$$p(t) = \\frac{1}{ 1 + e^{ \\;\\beta t } } $$\n", + "\n", + "In this model, $\\beta$ is the variable we are uncertain about. Below is the function plotted for $\\beta = 1, 3, -5$." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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uMelJur76Dn+LpWh/C/l5zZQW+w/ZEsIYSEz2kZIeRmp6GCnpPiIi+mYIrOtLepKuL+lJur6kJw3G6ysrK+u4j9VQRenTjONrbfMQ8/Ftx3E+67reCOSGhs5hcUM9trHeC5HbvlqXbUM9NNR1WkdjA12aZhqCI5Yrgv9YHeyMH1tnjDcCuS0kjo3DxHQIjuMSIDYeE5/Q+tx7NJGRXatXRKQbRIU5jEqOOuhI49rmAIU1zeyramZPRSO7K5vYU9FE9UHCYgvsr25mf3Uzy/fWAOAYGJEUycS0aCalRzMpPYb02DBNWCoyCLmupaTYz/68ZoryWwgc5HdOxkBSio/UIa0hcFoYYWoDISIiIoOEQmEZVIzjdEvIbF23PUymoQ7q66ChDtv2vL6u0zbbUAd1ta3Ltd529xinr25/cdt6jlqg0Ft1sN0+uiIiojUg9oJjE9f2PBHiE70QOT4x+BUb12dGJIvI4BAX4WNcajTjUqOBRMDrY1ze4GdPRRO7K5vYXdHInoomCmqaP9a72LWwu6KJ3RVNvLy9EoDU6DAmpgdD4lHJkfgchT4iA5G1lsryAPvzmtm/t4XmpoP/Aj8l3UfOiAgyh4X32ZHAIiIiIj1NobDIcTCOE2z7QHpw/VEeb631QuX6Wi8sbg15bVtwXFcH9TVQ17qurqb1q3X78WhuhubS9pHJH/0x6aAjkmPjW0PiBIhLxCS0BsYJSZj4JJqHjcBJSsEGrDf5nkbjiUg3M8aQGhNOakw4s7ODcws0+V32VnkB8K7yRraUNpBX2fSxoLiswc/yvTXto4mjwgzjU6OZPCSaMyZHMnGI5isQ6e+am132bG8mf08zdbUH/6V7fIJD9sgIsodHEBOrIFhEREREobBICBhjvAnqomMgdUhw/VEcawMBb6RxXbUXEtfVtAbH1VDbGh7XVGNrq73ntdXel//Qkzsd/IVs8NjC1lUdNwOdpuoLj2gPjL3QuPV5YjIkJGMSk73nicmYqOhjq0VE5CMiw5wOo4o99S0BtpU2srmkns0lDWwtbaTR3zkgavRb1hXXs664nn+uLyMxKowTMmKYlRXLrMxYEqJ0ayTSX/hbLLu2NbFzayP+lo9vj4o2ZA+PIHtEBAlJjn55LSIiItKBfvIR6WeMz+eN3I1PCK47wjHWWq9/cVtQXFONrauBmiqoqYbaKmzb85oq76u+9tgKa2mG8hLviyOMRI6M+nhYnJAESSneclIKJKZCXLx+gBORoxYT7uOEzFhOyIwFIOBa8iqb2FzS0B4Ul9Z3/gVZVaOft/ZU89aeagwwLjWK2dlxzM6KZUxKFI7+DRLpc/x+S96OJrZvbqKlufMdR1g4ZOZEkDMinNT0MIzaxYiIiIgclEJhkUHAGANR0d5X2lBv3RGOsX5/a4DshcTB0LgSqiux1ZWEN9ThVlUQqCiD5qajL6ipEQ4UwoHCw4fHYWGQmOKFxEkpmKTU4PPEFEhKheQUzEF6RIuI+BzD6JQoRqdEcf6EZABK6lrYXNLAh4V1rC2qp7w+OLzQAtvKGtlW1sjj60pJjPQxMyuW2VlxzMyMJT5SfdZFQikQsOzd1cz2TY00NXa+g4iNdxg/OYrMnHB8YQqCRURERI5EobCIHJQJC2tv9wAHD5FT0tIAKC0txTY2eAFydaUXGreGx1RVYqvKveeV5VBVwUE/43kwfj+UHfC++Hj7inbRMa0BcRomORVS0oLPk9MhORWiYzTqWERIjw0nPTacRSMTSElNZXtJHf/dlM8H++vYVtbQqSdxVVOAN3dX8+buahwD0zNiOXVkAvOHxRETroBYpLe4rmXf7ma2bWqksb5zGBwd6zBhSiTZIyJwNCpYRERE5KgpFBaRbmHaRiKnZ3jLh9jPWutNlldVCVXl2KoKLyiu9h5tVYUXHleWH/2keg313lfhvkMHx5HRXjickoZJToOUdEgdgklJg9R0SE7HhIcf+xsXkX7LMYYJQ+JIddK4eGoaNU0BPiysY01BLWsK6qhqCrTv61pYW1jH2sI6/rTScGJOHKeNTGRmVixhCqJEeoR1Lfv3trBtY+PHJpCLijaMmxzF8FEROD79HRQRERE5VgqFRaRXGWMgJs77ysw5bBsL29jgBcaV5djKsmBYXFWOrSiDqnKoKDu6kcdNDVCUD0X5hw6OE5O9sDglDZM6BFLSMSnpXmicNhQTE3d8b1pE+oX4SB+LRiawaGQCrrXsLG/kg4I6Pthfy7ayxvb9mgOWd/JqeCevhvhIH6cMj+fUkQlMTI/WJxJEuoG1lsL8FrZuaKS2unMYHBFpGDspkpFjItUmQkRERKQLFAqLSJ/VPvp4aNbhRx7X1kBFKVSUYStKvKC4otQLjivKoKIEmpuP/IJto5Z3b2sPizu3qYiF1CFeQJzW+ti6TNoQ9TYWGUAcYxiXGs241Gi+MC2NkroW3m6dkC6vMthDvaYpwMvbK3l5eyVDWttSnDoqgeGJkSGsXqT/amp0+fD9ekqKOk8KGR5uGDMxklHjIgkLVxgsIiIi0lUKhUWkXzPGQHyC9zV89EHDY2st1Nd6wXF5Kba8BMpLoKzt+QGoKAfrHuToDhrqIH835O8+eGgcFw+prQFxWgYMycCkZ3otNVLSMI56kIr0V+mx4Xx+Siqfn5LKnopG3tpTzdt7qimtDwZXB+paeGpjGU9tLGNUciRnjUnkjNGJ6j8scpQOFLWw9v36TpPI+cJgzIRIRo+PJDzCCWF1IiIiIgOLQmERGfCMMRAb733ljDp4cBwIeK0pyg4EQ+PyEmxZSetkd8VHHm1cW+N95e34eGjsC/NGGacPbQ+KzZAMSM+EtAxMpEYVivQXI5OjGJkcxZdPSGfTgQbe2lPF8r011DUHf7G0u6KJB1Yf4LHcUs4ek8j5E5IZGhcRwqpF+i7XtWxZ38jOLU2d1o8aF8G4KVFERioMFhEREeluCoVFRADj83m9g1PTDz3auKYSSg9gS4u9oLi0GFvqPVJ+APz+gxzZKuCHAwVwoADLh945O25PSoEhWZihWV67jCFZMCTLG20criBJpC9yjGHq0BimDo3hqjlD+aCgjrf2VLMqv5YW1/sbXt/i8uyWCp7fWsG8nDg+NTGFyeo9LNKurjbAmvfqqSwPTuwYGWWYOS+G9AxNACsiIiLSUxQKi4gcBWMMJCRDQjJm9ISPbbeu6/UjLi32QuOSQigpxpYUQkkRVFce/gVaJ9Gz2zZ45wu+sDf53ZBMzNBsGJrpBcYZ2ZA61AuzRSTkwn0O84fFM39YPHXNAd7aU83zWyooqPE+YeBaeG9fLe/tq2VMSiSfmpDCKSMSCPcpHJbBa//eZtatru80X2x6Rhgz58UQGaXRwSIiIiI9SaGwiEg3MI4DyamQnIoZN/lj221jA5QWdQqK7YEib13ZAQgEDnJWwNrW9hUHsJtzvVVt23xhMCQTMnMwGTmQ0faYjYnWpHcioRIb4eO88cl8YlwSHxbU8dzWCtYW1rVv31nexP+9V8ijHx5g8fhkzh2XRFKUbslk8PD7LRvWNLBvd7AtkzEwaXoUoydEaiS9iIiISC/QTyAiIr3AREVDzqiD9jS2gYDXs7i4EHugAIoLsMVeqwnKSg49AV7AD4X7oHDfx3sYJ6W0hsTZwbA4c5gXWuuHbZFe4RjD7Ow4ZmfHsbeyiee3lvPm7mqaA97f1IrGAP9YV8qTG8o4dVQCn5qQzMjkqBBXLdKzqioCrHmvjtqa4H/bYmIdZi+IISlVP5qIiIiI9BbdeYmIhJjx+Vr7B2dhmN1pm21p8XoWF+9vDYwLscX7obgAKssOfdK2dhRb1nnnaVsfHQtZwzCZwyBrePujwmKRnjU8KZLvzsvkyzPSeXVHJS9tq6S8wetD3uJalu6sYunOKhaOiOdLM9LJjFcvcRlYrLXs2dHMprUNuB1+15k9PJxpc2IID9d/g0RERER6k0JhEZE+zISHQ2aO1yLiI9tsQ70XFhflQ2HrY1G+N8L4UJPeNdTBzi3YnVu8c7Stj46BzA5hcdYwyB4JSSkKi0W6UUJUGBdNTeMzk1J5d281z22pYEd5Y/v2ZXk1vLu3hnPGJnHJtDSSo3WrJv1fc5PL2lX1FO8P/rfJ54Nps6PJGRmh/86IiIiIhIB+0hAR6adMdAyMHIcZOa7T+vZ2FIX7scX5ULQfW7AXCvZ5ofDBNNTDrq3YXVu9c7Stj42H7BGYnJHBx6zhXjsMETlu4T7DqaMSWTQygS2lDTy9qZz382sBCFh4eXslr++q4oKJKXx2cgqxEZpUUvqn+jqX996opb4uODw4IcnH7AUxxCXouhYREREJFYXCIiIDTOd2FHPb11troaocCvZiC/Z5j4XeI/WHCIvramDbBuy2Dd452tanZ0D2SExOMDBmSCbG0Q/4IsfCGMOk9BgmnRrDlpIG/rr2ABsPNADQFLA8ubGMV7ZXcOHUVM4bn0yEzwlxxSJHr6H+44HwqHERTJoRjc+n0cEiIiIioaRQWERkkDDGQFIqJKViJs9sXx8Mi/d5I4oL92H358H+PGhsOPjJSoqgpAi7dkUwKI6I8ILi4aNh2GjvMWsEJjKyx9+byEAwMT2aW88azpqCOv6WW8LuiiYAappdHllTwnNbKrh0ehqnj0rE5yhQk76tod7l3Q6BsOPArAUxZOaoX7aIiIhIX6BQWERkkOscFp/Qvt5aC+UlkL8Hm78H9ud5j8X76TRLUJvmZti9Dbt7m3c8gHEgIxszbDQMH+U9DhuNiU/ohXcm0v8YY5idHcfMrFiW7anmH+tKKaptAaCs3s/dK4p4elM5l81IZ/6wOPVilT6psaF1hHCt998K48Cck2MZmhUe4spEREREpI1CYREROShjDKQOgdQhmBkntq+3LS3B0cT5e7D790B+njfa+KOs6+1buA9WvhUcVZyUCsNHY0aMxYwYCyPHYhKTe+NtifQLjvF6Dp80PIHXdlTyxIZSqhoDAORXN3P7sv2MT43iqrlDGZeqHt/SdzQ2eCOE6zoGwicpEBYRERHpaxQKi4jIMTHh4V6gO3x0p/W2uhL27cbu3QX7dmH37YLiArD24yepLIPKMuy6VR2C4hRoDYnNyLEEZp6ILymlp9+OSJ8W7jOcPyGZM0Yn8vyWcv69qZwGvxe2bStr5PpX8/jkhGS+NCOdqDD1G5bQag+Ea1oDYQOzF8SQka1AWERERKSvUSgsIiLdwiQkwZSZmCkd+hU3NXqjifftCgbG+/OgpfnjJ6gsh8qV2NyVWKAUcFKH4A4bjRkxBjNyLIwch4lT6wkZfKLDHS6elsYnxiXx1MYyXtxWid+1uBae21LB+/m1fOfEDE7IjA11qTJINTW6vPfmRwLhk9RDWERERKSvUigsIiI9xkRGwZiJmDET29fZQACK9mP37oS8Hdi8HbB3FzQ3fex4t+wAlB3oPKFdegZm1AQYPR4zarzXozhco9BkcEiICuNrs4dy3vhk/t/KInKL6gEorm3h5tf3ccboBL42ayjxkb4QVyqDSVOjN0K4tjoYCGtSOREREZG+TaGwiIj0KuPzQfZwTPZwWHA6ANYNQOF+bN52yNvpBcX7dh80KKakCFtSFOxRHBbmBcOjxsOo1qB4SKYm4JIBLSM+gl+cMYzXd1Xx8JoD1DZ7Ydzru6r5oKCOq+YM5eTh8fp7ID2ubYRwp0B4fgxZwxQIi4iIiPRlCoVFRCTkjNMhKD7pTABSk5Pw5+dRsXY15G3H7tkB+3aB39/5YL8fdm/D7t4G4AXFsfEwahxmdOso5dHjMVExvfumRHqYMYYzxyQxOyuO+1cXs3xvDQBVjQF++04Bb2bH8a0Th5IWo5H00jOamrxAuKbKC4QxMHN+DFnDFQiLiIiI9HUKhUVEpE8yvjDCR4zBiU2Ek72g2La0eJPY7d4Gu7Zh92yDA4UfP7iuBjaswW5Y44XExoGcEZgxk4LtLNKGahSlDAhJ0WFcvzCb9/NruG9lMWUN3i9OVu2vZcPz9XxlZjrnjkvC0fUu3ai5yWXFRwPheTFkKxAWERER6RcUCouISL9hwsNh9ATM6Ang5cTY2mrYvR27e6sXFu/e7oXCHVnXm+hu32548yUvKE5MhjGTMG0h8fAx6k0s/dq8nHimDonhb2tLeHl7JQANfpc/ryrm7T3VfHdeBjmJkaEtUgaE5iaX996so7rSbV8388QYckYoEBYRERHpLxQKi4hIv2biEmDabMy02QBYa+FAIXb3Vti5BbtjC+zP84LhjqoqYM272DXvtvYmDoeR4zDjJmPGT/EC42i1nJD+JTbCx7dOzGDhyATuWVFEQU0zAJtKGrjmpT18aUYan5mUolHDctxaWiwr3qqjujLQvu6EE2PIGalAWERERKQ/USgsIiIDijEGhmZhhmbB/NaJ7Brqvb7DO7dgd26GXVuhob7zgf4W2LEJu2MT9uWnvJYTw0Zhxk/BjJsM46Zg4hND8I5Ejt2UITHcef5Ilqwv49+byghY8LuWRz8sYdOBBv53QSZxkb5Qlyn9jLWWdavqqaoIBsIz5kYzbJQCYREREZH+RqGwiIgMeCY6BiafgJl8AgDWDUDBPuzOLbBzs/f40d7E1oW9O7F7d2KXPuetyxwWDIjHT8GkpPfuGxE5BhE+h8tOSOfkEfHcs6KIHeWNgNdr+NqX93DDwmzGpkaFuErpT/buaqZgX0v78vQ50QwfrZYkIiIiIv2RQmERERl0jOODnJGYnJFw6icAsNUVsGMzdttG7PaNsG/Px1tOFO7DFu6Dt1/1Wk6kDsGMnwoTp2MmTlNILH3SqOQo7jh3BH9bW8Izm8sBOFDXwg2v5fGNOUM4d2ySJl2UI6quDLDhw4b25eGjIxgxRoGwiIiISH+lUFhERAQwCckw6yTMrJMAsPV1Xk/i7Ruw2zbCnh0Q8Hc+qOwA9r3X4b3XvZA4PQMzcTpMmIaZOB2TmNzr70PkYMIcw1dnDWFiWjR3rSikvsXF71r+tLKYzQca+Pa8DKLCnFCXKX2U32/54N063NauEfGJDlNmRoe2KBERERHpEoXCIiIiB2FiYjtPYNfUBHu2BUcS79wCzU2dDyopwpYUwbLXvJA4I8cLhydOg/HTMPEJvf4+RDpaMDyekcmR3LFsP7srvOv3zT3V7Kxo5EcLs8lJ1MhP+bgNaxqorfE+OeHzwewFsYSFaXS5iIiISH+mUFhEROQomMhIbwTwhGkAWL8f8nZgt6zDbl0POzZDS3Png4rysUX52Ddf8pazR2AmzfB6G4+fiolUP1fpfZnxEdxxzgjuX13M0p1VAOyrauYHr+zhu/MyWTRSv7yQoH17mtm3O/hv27TZ0cQnapJCERERkf5OobCIiMhxMGFhMGYiZsxEOP9ibEsL7N6K3bIeu3Ud7NoK/o+0m9ifh92f501c52s9vm0CvBFjvF7HIr0gMszhf+ZnMik9mvtWFdMcsDT6Lb9fXsDmknq+NmsI4T61kxjsaqsDrP+gvn05Z0Q4OSMjQliRiIiIiHQXhcIiIiLdwISHe6N/x08Fvui1m9i1JRgS79kOgUDwgIAftm3AbtuAfebvEBMHk6Z7IfGkEzDpGSF7LzJ4nDUmibEpUdy+bD+FNS0AvLStku1ljVx/SjZD4sJDXKGESqC1j3BbK/XYeIdps2M0KaGIiIjIAKFQWEREpAeYyEiYNAMzaQYAtrEBtm/CblqL3bwW9ud1PqC+Fj54F/vBu8FJ6yafgJk80ztPdExvvwUZJEYmR/H7T4zk7hVFvLevBoDtZY1c+/Jurj0piznZcSGuUEJh49oGqqu8PsKO09pHOFyBsIiIiMhAoVBYRESkF5io6M4T11WWYzfnQltIXFXR+YCSIuxbr2DfesWb2WnMJMzU2ZipsyBnpEbrSbeKjfBxw8Isnt9awV/WHCBgobbZ5Vdv5vONOUM5f0JyqEuUXlSwr5m8ncE+wlNmRpOYrPY2IiIiIgOJQmEREZEQMEkpmAWnw4LTsdZCwV5vFPGmtbBtAzQ3BXcOBIKtJv79KCSlYKbM8gLmSTMwMRrJKV1njOGCiSmMS43it8sKKGvwY4H7VxdT3uDnshlp+mXEIFBXGyB3VbCPcGZOOCPGqI+wiIiIyECjUFhERCTEjDGQPQKTPQLO/rQ3ad2uLV5IvGEN7N3Z+YDKcuzypdjlS73PdY+eiJnaGhLnjMI4miBMjt+k9Bj+eN5IfvVmPtvKGgF4amMZ5Q1+vjsvgzBHwfBA5QYsa96rx++1lyYm1mHG3Gj9MkBERERkAFIoLCIi0seY8HCYMA0zYRp89svYqgrsxjWwYQ1244de/+E2rgs7NmF3bPImrEtM9tpMzDjRG0UcFR26NyL9VmJUGLecNZzfLtvP6oI6AF7fVUVVo5/rF2YTFaZfPAxEm9c1UlnuTYhpHJi9IIbwCP1Zi4iIiAxE3RYKl5WV8cQTT5Cbm0tNTQ3JycnMnTuXCy+8kLi4o/9Y65o1a3jppZfIz89vP8/o0aP55Cc/yfjx47urXBERkX7DJCZjTjoTTjoT6wZg93bshg+8UcR5O8Da4M5VFcFRxGHhMHEaZvqJmOlzMKlDQvcmpN+JCnP4yak5/L+VRSzdWQXABwV1/HTpXm46LYfEKI0tGEiK9rewa1uwbc2k6VEkperPWERERGSg6pY7vaKiIm666SaqqqqYM2cO2dnZ7Nixg5deeom1a9dyyy23EB8ff8Tz/P3vf+e5554jPj6euXPnEh8fT1FREatWreL999/nu9/9LosWLeqOkkVERPol4/hgzETMmInw6S9hqyuxmz6E9Wuwm9ZAbU1wZ3+LN7p4wxrsP/BaVMw4ETN9Lowa551L5DB8juHqeRmkRIexZEMZANvLGvnRa3ncfPowMuLVa3YgaKh3Wbsy2Ed4aFYYo8dHhrAiEREREelp3RIKP/TQQ1RVVfHVr36VxYsXt69/9NFHefHFF3n88ce56qqrDnuOyspKnn/+eRITE/nd735HYmJi+7YNGzbwy1/+kiVLligUFhER6cAkJGHmnw7zTw+OIl63Cpu7Evbndd55fx52fx72pSchPhEzbY4XEE+ZqTYTckjGGL40I52U6DDuW1WMBQpqWrjhtTx+dvowxqREhbpE6QLXtXzwXh0tzd4nDqKiDSecGKM+wiIiIiIDXJdD4eLiYnJzc0lPT+fcc8/ttO3iiy9m6dKlLFu2jMsvv5yoqEP/0FBSUoK1lnHjxnUKhAGmTp1KdHQ01dXVXS1XRERkwOo0ivizX8aWHfAC4nWrYMs68PuDO9dUYd/9L/bd/3ptJibNwMyc740kTkgK2XuQvmvx+GSSosP4/TsFtLiWysYAP/nPXn68KJsTMmNDXZ4cpx2bm6gobe0jbGDWglgiItVHWERERGSg63IovGHDBgBmzJiB85HZzqOjo5k4cSK5ubls376dadOmHfI8mZmZhIWFsWPHDqqrq0lISGjftmnTJhoaGpg7d25XyxURERk0TOoQzOnnw+nnYxsbYNNaLyRevxqqK4M7+ltg/Wrs+tVYY2DMJC8gnjkfk54Rsvql71kwLJ5fnjmMX72VT12zS6Pf5ZY39/G9+ZmcOirxyCeQPqW+zmX75sb25QlTo0hNVx9hERERkcGgy3d9BQUFgBfqHkxGRga5ubkUFhYeNhSOi4vjS1/6En/961/5/ve/36mn8AcffMD06dOP2IKizQ033HDQ9XfccQcAaWlpR3WegSAszPsjHkzvWXqPri/pSbq+ekDOMDjnU1jXxb9jC02rl9O0ahn+PTuC+1gLOzZhd2zCPvkwYSPHEnniIiLnLSRs1PgB9ZFyXWPHZ1Ea/HloKj94ZiMHapvxu/CHdwtp9kXyxVk5oS6vz+gP19cbqwtxvUHCpKZHMu+UbBxn4PwdH8j6w/Ul/ZeuL+lJur6kJ+n6OjZdDoXr671JKWJiYg66vW19XV3dEc91/vnnk56ezp/+9Cf++9//tq/PyMjgtNNO+1hbCRERETl2xnEIHz+Z8PGTibv0G/iL9tO0chlN779Fy+Z1XjDcyr9nB/49O6hb8jBOegZR8xYROe9UwidNx/g0Ud1gNTo1lj9fPIMfPLuR3WXeveA9y/ZQWtvMdxeOwhlAvzwYqArz69mzM3h/Pm9hmgJhERERkUGkxz8fZlt/sDyakUXPPvssjz/+OIsXL+YTn/gESUlJ7N+/n8cff5y77rqLPXv2cNlllx3xPG0jgg+ltLT06IofANp+OzKY3rP0Hl1f0pN0ffWisEg46Sw46Syc6kps7krs2vdh01qvtUQrt6SI+heWUP/CEkhIwsxagJl1Eoyf2i8DYl1jXeMDfnV6Nre+lc+mkgYA/vlhAeU1dXznxIwBNar8ePTl68t1Le++WdO+nD0iHF94HaWlRx7EIX1DX76+pP/T9SU9SdeX9KTBeH1lZWUd97FdDoXbRgK3jRj+qIaGhk77HcrGjRt57LHHOPHEE/nKV77Svn706NFcd911XHPNNTz//POcffbZDB06tKtli4iIyEGYhCTMwnNg4TleH+KNa7AfrsCuWw0NHQKj6krsmy9j33wZ4hO9/sOzT4Lx0zBh6kk6WMRF+vjFmcP4w/IC3ttXC8BrO6oI9zl8Y/aQQR8M91V7dzVTXeUC4PPBpOnRIa5IRERERHpbl39qa0ukCwsLD7q9qKgIOHTP4TYffPABAFOmTPnYtsjISMaOHcvKlSvZvXu3QmEREZFeYKKiYfbJmNknY/0tsG0Dds172A9XdJ6orqYK+/ar2Ldfhdh4zAnzMHNOhonTMWHhIatfekeEz+GHp2Rz94pC3thdDcCLWyuIcAxfmZmuYLiPaW5y2bI+OLnc2MlRRMc4hzlCRERERAaiLofCbSFubm4uruviOMGbyoaGBrZs2UJERATjxo077Hn8fj8A1dXVB93etj5Mo49ERER6nQkLh8kzMZNnYi/9JuzYjF29HLvmPagqD+5YV4NdvhS7fCnExGJmtAbEk09QQDyA+RzD/8zPpMW1vJPntSV4enM5EWGGS6enh7g66WjrhkZamr32bjGxDmMmRIa4IhEREREJhS4PC8jIyGDGjBmUlJTw6quvdtq2ZMkSmpqaWLRoEVFRUYAX/u7fv799BHGbiRMnArB06VLKy8s7bfvwww/ZunUr4eHhTJgwoasli4iISBcYx4cZPxXn0m/i/OZhnBtux5x1ASR/ZJbf+jrse6/j3n0L7g++gvvXe7Cbc7FuIDSFS4/yOYZrT8piXk5c+7on1pfx5IbB09Otr6uuDJC3s7l9efIJUfh8GsktIiIiMhh1y7DbK6+8kptuuolHHnmE9evXk5OTw/bt29m4cSOZmZl88YtfbN+3vLyca6+9lvT0dO6999729fPnz2fatGmsX7+ea6+9lrlz57ZPNLdmzRqstXzpS18iPj6+O0oWERGRbmAcB8ZOxoydjL3oa7B7G3bNu9gP3oWyA8Ed62uxy17DLnvNm6Ru9smYExfC6IneOWRACHMMPzwli9ve3s8HBV4P6r/nlhLhc/j0pJQQVze4WWvZuLaB1jmgSRsaRka2Ru+LiIiIDFbdEgpnZGRw2223sWTJEtauXcuHH35IcnIyixcv5qKLLiIuLu6I53Achx//+Me8+uqrvPvuu6xatYqmpibi4uKYOXMmixcvZsaMGd1RroiIiPQA4zgwZiJmzETshV+FPTuwH7yDXb28c0BcXYl940XsGy9CSjpm7imYuYtg+Gj1nx0Awn0ONyzM5ldv5bOuyJuI+OE1Bwj3Gc4bnxzi6gavov0tlBZ77dqMgSknROvvm4iIiMggZqxtGy8weBQUFIS6hF6TluZ9lLe0VB/dlO6n60t6kq6vgcNaC7u2Ylctw65+B6oqDr7jkCzMiQsxcxdisob3eF26xnpWo9/lF6/vY1NJQ/u6/5mfwVljkkJXVC/qS9dXIGB58+Ua6utcAEaOjWDa7JgQVyVd0ZeuLxl4dH1JT9L1JT1pMF5fWVlZx32sZm0TERGRHmWMCY4gvvhrsG2jFxB/8C7U1QR3PFCAfeEJ7AtPwLBRmPmnYU5chElKDV3xctyiwhxuOj2Hn7++j62ljQDcs6KIMMdw2qjEEFc3uOza2tQeCIdHGCZMjQpxRSIiIiISagqFRUREpNcYxwcTp2MmTsd+8ZuweS125TLs2hXQGBxRyr7d2H27sU/9xdt//mmYmQsw0Rrd2J/EhPv42enD+Nl/97KzvAkL3PleIeGO4eQRCaEub1BoqHfZvrmxfXni1CgiItXHW0RERGSwUygsIiIiIWHCwmDaHMy0OdjmJtjwAe7Kt2Hdamhp9nayFjbnYjfnYh/7E2bGPMz802DyTO946fPiInz8/Izh/HTpXvIqm3At/H55AWE+w7wcTSDc0zavayDgtRImPtFh+JiI0BYkIiIiIn2CfpoSERGRkDMRkTDrJHyzTsI21GPXvId9/03Yss4LhgGam722E6uWQVyC13t4/mkwarwmzOrjEiJ9/PKMYdy4dC/51c0ELPxmWQE3nprNrKwjT0gsx6e81M/+vJb25amzonEc/V0REREREYXCIiIi0seY6BjMyWfCyWdiK8qwK9/GrngT8ncHd6qtxr7xIvaNF2FIJmbeaZgFp2PSM0JWtxxeUnQYvzxzGD/5z16Kalvwu5bb3t7PTaflMD0jNtTlDTjWWjasCbZkycwJJ21IeAgrEhEREZG+RA3FREREpM8yyak4534W38134tx8F+bcz8FHJ547UIh9/nHcn1xF4Hc34r77X2zH/sTSZ6TGhPOrs4YzJNYbl9Ac8ILhvMqmEFc28Ozb3UxVRQAAxweTT9DkciIiIiISpFBYRERE+gWTMxLnwitw7ngI5we/wpx8Fnx04rmt67GP3Il73VdwH/4/7Nb1WNcNTcFyUOmx4dxy5nBSor1guL7F5ZY39lHR4A9xZQNHS7Nl87rg5HJjJkQSE+sLYUUiIiIi0tcoFBYREZF+xTgOZuJ0nCu+h/O7RzFXXQ/T5oDpcFvT1Ih973Xc392I+5OrcJ/9B/ZAYeiKlk4y4iP42ek5RIV5f2Yl9X5ufSufJr8C/O6wbVMjzU1eL+6oaMPYSRolLCIiIiKdKRQWERGRfstEROLMPQXf936G85uHMBdeAZnDOu9UdgD7wj9xb/wmgd/+GPed/2Ab60NSrwSNSo7i+lOyaJv3bHtZI394twC3bWJBOS611QF2bwu245h8QjRhYZpcTkREREQ6UygsIiIiA4JJSsU593M4v7gH5ye/x5x2HsTEdd5p20bso3fj/uArVN39K5o3r8MqhAyZ2dlxXDVnaPvyin21PPphSQgr6v82rm2g7ZJOSfORNUyTy4mIiIjIx4WFugARERGR7mSMgVHjMKPGYS++EtatxF3+X9i4Btr6Czc30fj6SzS+/hJk5GBOORuz4HRMQlJIax+MFo9PprCmmWe3VADwzOZyMuLCWTw+OcSV9T8VZX4OFAZ7M0+dFe39fRARERER+QiFwiIiIjJgmfBwmH0yvtknY6sqsO+/iV3+XyjYG9ypKB/71CPYp/8KM07EOeVsmDIT42hirt7ylZlDKKpt4f38WgDuX13M0LhwZmXFHeFI6Wj7puDkctkjwklM1q2+iIiIiByc2keIiIjIoGASk3HO+SzOz+/G+fFviT77AkxUTHCHQADWvId71y9xf/QN3Gf+ji0pClm9g4nPMXz/5CzGpHgTorkWfrOsgD0VjUc4UtpUVQQoLgiOEh6nyeVERERE5DAUCouIiMigYozBjJ5Awnd+RNrDz2Gu+B6MndR5p4pS7ItLcH9yFYE/3IS78m1sS0toCh4kosIcfnpaDmkx3ujWBr/LLW/mU97gP8KRArBjczBAz8gJJz5RI91FRERE5NAUCouIiMig5UTH4Jx8Fr4b7sD55b2Ycz4L8Ymdd9qci33gd7jXX4H75MPYov2hKXYQSIkO46bTcogO825RS+v9/OrNfBr9bogr69tqqwMU7Av+0mLcpMgQViMiIiIi/YFCYRERERHAZA7DueirOL95GOfbP4Kps8F0uFWqrcG+9gzuTd8m8LsbcVctw/o1eri7jUyO4vqFWTit86PtLG/kD8sLCLg2tIX1YTs2N7U/H5IZRlKKegmLiIiIyOHpjlFERESkAxMWDrNOwjfrJGx5Kfbdpdh3lkLZgeBOW9djt67HxidiTjoDs+hczJCs0BU9wMzKiuNbczP4fyu9ns7v59fylw8PcOXsoSGurO+prwuQn9fcvjxusnoJi4iIiMiRKRQWEREROQSTkob55Bew510EG9fivv0K5K4C29rOoKYK++rT2FefhkkzcBadCyfM84Jl6ZJzxyVRUNPMM5vLAXhuSwUZcRGcPyE5xJX1LTs2N2FbB1GnDgkjJU239yIiIiJyZLprFBERETkC4/hg2mx802ZjK8qw7/wH+85rUF4a3GlzLu7mXIhPxJxyFmbhuZj0jNAVPQB8ZWY6xbXNvLevFoAHPyhmaFw4c7LjQlxZ39DY4LJvd8dRwuolLCIiIiJHRz2FRURERI6BSU7F+dQXcG57AOfqm2D63M69h2uqsC//C/fGbxK465fY9auxbiB0BfdjjjFce1IW41K9lgiuhd++U8C+qqYjHDk47NzShNs6aD0pxUfaEI33EBEREZGjo1BYRERE5DgYx4eZMRff/9yEc9sDmE9+AZJSgjtYC+tX4971S9wbv4X76r+xNdWhK7ifigxzuPHUHIbEeoFno9/l9rf3U98yuIP2piaXvJ3BcHz8lCiMMSGsSERERET6E4XCIiIiIl1kUtNxPn0pzu0P4Xz3Rpg6q/MOpcXYp/6Ce/1XcR/+I3b3NmxbI1g5ouToMG48NYcInxd65lc3c/eKokH9Pdy9rYlAay6ekOQwJFOjhEVERETk6OnuUURERKSbGJ8PTpiH74R52AMF2Ldewb6zFOq9nrj4W7DvvYF97w0YMRZz2mLM3EWYSPWCPZKRyVF8d14Gf3y3EIB399bw3JYKPj0p5QhHDjwtzS67twdHCY+brFHCIiIiInJsNFJYREREpAeYIVk4F30N57ePYK74HowY23mHvB3YR+/2Rg8veQh7oCA0hfYjp41KZPG4pPblv3x4gI3F9aErKER272jG3+I9j413yMwOD21BIiIiItLvKBQWERER6UEmIhLn5LPw/fQPOD/5PWbBGRDWIcSrr8X+51ncG7/lTUy3YQ22bfYw+ZgrZw9lQlpw4rnfvLOfsvqWEFfVe/x+y66tHUYJT4rCOBolLCIiIiLHRqGwiIiISC8xo8bhfO1/vdHDF14BaUM777B+Ne6dP8f92XdxX38B2zj4RsEeSbjPcP3CbBIjfQBUNgb47TsF+N3B0V84b2cTLc3ee42OdcgeoVHCIiIiInLsFAqLiIiI9DITl4Bz7udwbr0P53s3w7Q5nXco3o99/H7cH34V958PYIvVWqKjtJhwrjsli7YBsptLGvjLmgOhLaoXBAKWnVuCo4THTozE0ShhERERETkOmmhOREREJESM48C02fimzfYmpnvjJezypdDQOkK4sQH73+ex/30eps3BOeN8mDzTO26Qm54Ry5dnpPPo2hIAnt9awfi0aBaNTAhxZT1n3+5mmhq9UcJR0YZhoyJCXJGIiIgcjN/vp6GhgebmZqwdHJ9m6gvKy8sBcPtxKzZjDBEREURHRxMW1rOxrUJhERERkT7ADMnCXPJ17Kcvxb73Jvb1F6AoP7jD+tW461fD0GzM6edjTjoDEx0TuoL7gM9OTmFrWQMr9tUCcM+KQkYmRTI8KTLElXU/17Xs2NzYvjx6QiQ+n0YJi4iI9DV+v5+qqiqio6NJSkrCcRyM0X+ze0NbiOr3+0NcyfGx1uK6Lk1NTVRVVZGYmNijwbCGmYiIiIj0ISYqBuf083B+eS/Otb+A6XOh4w8Sxfux/7wf9/rW1hIlRaErNsSMMXxvfiZZ8d6I2aaA5ba391PfEghxZd1vf14zDfXeSKOISMOIMQMv+BYRERkIGhoaiI6OJiYmBp/Pp0BYjpoxBp/PR0xMDNHR0TQ0NPTo6ykUFhEREemDjDGYyTPx/c9NOL/6M+asT0N0bHCH1tYS7o3fJHDvr7HbNgzKjyfGRvj48aJsIltHzRbUNHPne4UD6nthXcv2zcFewqPHRxIWph8wRURE+qLm5mYiI/XLW+mayMhImpube/Q1FAqLiIiI9HFmSCbOJVfi/OZhzJe+BZnDghuthbUrcH/7E9xfXYv73htYf0voig2B4UmRXD0/s315xb5ant5UHsKKuldBfgt1NV5vvLBwGDlWP2iKiIj0VdZaHM3/IF3kOE6PD3LQVSoiIiLST5ioaJzTzsP5xT041/wcps7qvMPeXdiH/4j7o6/jvvAEtqYqJHWGwqKRCXxyQnL78t9yS1hXVBfCirqHtZYdm4K9hEeNiyQ8QqOERURE+jK1jJCu6o1rSKGwiIiISD9jjMFMnYXvmp/j/OIezKJPQEREcIeqCuyzj+HecCXuX+/B7s8LXbG96IqZQ5iUHg2Aa+F37xRQWt+/R00XF/iprvJGCfvCYNR4jRIWERERka5TKCwiIiLSj5ms4Thf/g7OHQ9jPvtlSEoJbmxpxi57Dffn/0Pgjz/Drv9gQPXa/ahwn+GHp2SRFOUDoKopwG+W7acl0D/fs7WW7R1GCY8YE0lkpG7fRURERKTrdFcpIiIiMgCYuASc8y7Cue0BzNd/ACPGdt5h01rcu36Be/PVuMtew7b07MQVoZIaE84PT8nGaf3E3dbSRv669kBoizpOZQf8VJYHAHAcGDNBo4RFREREpHsoFBYREREZQExYOM68U3Fu/D3O9bfDrJPAdLjlK9yH/es9wb7DtdWhK7aHTB0aw1dmprcvP7elgg/214awouOze3swuB82KoKoaN26i4iIiEj30J2liIiIyABkjMGMm4zv2z/CufXPmLMugMjo4A7Vla19h7+G+9ifsMUFoSu2B3x6YgpzsmLbl+98r5CKBn8IKzo29bUBigqC/ZDVS1hEREREupNCYREREZEBzqRn4FzydZzfPIS58ApISg1ubG7Gvvky7k3fJnDvr7HbNw2IvsPGGL63IJPk6DDA6y/8f+8W4PaT97ZnRzO0lpqeEUZ8gi+0BYmIiIgcp6amJu6++27OPPNMxowZw5gxYzj77LN5/PHHQ13aoBYW6gJEREREpHeYmDjMuZ/Dnvkp7Op3sK89A/t2exuthbUrcNeugFHjMWd/BjNrAcbXf8PIxKgwrj0pk5v/uw8LrC2q55nN5XxucuoRjw0lv9+yd1ewdcSocRolLCIiIv1Tc3Mzl156KStWrGDKlClcdtllNDY28uyzz3LdddeRmZnJaaed1mv1vPDCC6xYsYKNGzeyadMmamtr+dznPsfdd9/dazX0FQqFRURERAYZExaOmX86dt5psGUd7n+ehfWrgzvs3oa9/zfY1CFeOHzKWZjIqJDV2xUzMmL5/JRUntpYBsDf15YwbWgM41Kjj3Bk6OzPa6alxRsmHBPnMCRTt+wiIiLSPz300EOsWLGCyy67jNtvvx1jvNmA58+fz9VXX83KlSt7NRS+88472bRpE7GxsWRmZrJjx45ee+2+Ru0jRERERAYpYwxm0gx83/sZzi/uwZxyNoR1CCDLDmD/eT/uDVfiPvsPbE1V6Irtgi9OT2N8qhdqByz87p0C6lsCIa7q4Ky17N7W1L48alxk+w9PIiIiIv3N3/72N6Kjo7n55ps73dP4Wj+Nlpyc3Kv1/PznP2fZsmVs3bqV2267rVdfu69RKCwiIiIimKzhOF/5H5w7HsJ88hKIiw9urKvBvvBPLxx+7E/YA/1rUrowx3DdKVnEhHu3vkW1Ldy3qjjEVR1c2QE/NdUuAL4wGDYyIsQViYiIiByf/Px88vLyOOWUU4iJiem07fnnnwfg5JNP7tWaTj75ZEaPHq1fuqNQWEREREQ6MAnJOJ/+Es7tD2Mu/SakDQ1ubGmdlO6n3yHw59uxu7eHrtBjNDQugm+fmNG+/Obuat7Y1fdGPu/aHhwlPGxkBOER+oFFRERE+qfc3FwAZs6c2b7OWsuDDz7ISy+9xMKFC5k8eXKoyhv0uq1BWVlZGU888QS5ubnU1NSQnJzM3LlzufDCC4mLizumc23evJkXX3yRbdu2UVtbS1xcHMOHD+e8885j1qxZ3VWyiIiIiByCiYzEnH4+dtEnsGvexb76NOS19lyzLnzwLu4H78KEaTjnfhamzu7zIy4WjUzgw8I6Xm8Ng/+8qpiJ6dFkxveN0bj1tQGK9/vbl0dqgjkREZEBJfCNC0JdwlHzPfBcl8+xbt06AKZPn87y5ct55plneP/999m5cyeTJ08+4uRuDzzwANXV1Uf9etOmTeO8887rUs2DSbeEwkVFRdx0001UVVUxZ84csrOz2bFjBy+99BJr167llltuIT4+/sgnAv71r3/xxBNPEB8fz+zZs0lKSqKmpoY9e/awadMmhcIiIiIivcj4fJi5C7FzTvEmpXv137Dxw+AOW9fjbl0P2SMw53wGc+IiTFh46Ao+gqvmDGVLST0FNS00+l1+904Bt58zgnBf6APt3Tua25+nZ4QRn+ALYTUiIiIiXbN+/XoAZsyYwY033shzzwWD5rFjxxIIHH6OhwcffJD8/Pyjfr1LLrlEofAx6JZQ+KGHHqKqqoqvfvWrLF68uH39o48+yosvvsjjjz/OVVdddcTzvPfeezzxxBNMmzaN6667jujozrNC+/3+QxwpIiIiIj3JGAOTZuCbNAO7bzf2taexK98G1+t/y/487CN3Yp99DHP2pzGnnIOJij78SUMgOtzhulOyuf7VPfhd2FHeyGO5JVwxa0hI6/L7Lft2BUPhURolLCIiIv3c+vXrycnJISUlhXvuuYdbb72VrVu38vDDD/Pcc8+xfft2li5desjj33///WN6vbCwbmuIMCh0+btVXFxMbm4u6enpnHvuuZ22XXzxxSxdupRly5Zx+eWXExUVdcjzuK7LY489RmRkJNdcc83HAmHQH66IiIhIX2CGjcJc+X3sZy7DLn0Ou+w1aGr0NpaXYp94CPvCEswZ52NO/yQmPiG0BX/EmJQoLj9hCA+vOQDA05vLmZEZy8zM2JDVlL+nmZYWC0BsnMOQTN33ioiIDDTd0ZKhv8jPz6e8vJz58+cD4PP5SElJYcGCBSxYsICzzz6bTZs2kZeXx4gRI0Jc7eDU5bvNDRs2AN5QcMfpPG9ddHQ0EydOJDc3l+3btzNt2rRDnmfbtm0cOHCA+fPnExsby5o1a9i7dy8RERGMHTuW8ePHd7VUEREREelGJnUI5pKvYz/5BeybL2H/+zzUtE7eVleDff6f2Fefxiw8B3P2ZzCp6aEtuINPTUwmt6iODwrqAPi/dwu487xRJEX3fhhrrWV3hwnmRo6L7PP9mUVEREQOp62f8IwZMw66PTExEeCw85Cpp3DP6vJdb0FBAQCZmZkH3Z6RkUFubi6FhYWHDYV37PAmLklMTOSGG25g7969nbZPmjSJH/zgByQkHHmkyQ033HDQ9XfccQcAaWlpRzzHQNE2unowvWfpPbq+pCfp+pKepmusG6WlwVe+g/3ClTS88SL1z/yDQLF3j0hzE/a/z2PffImohecQ+9kvETZ8dGjrbfWL8xO5/LEPKa9vobIxwJ8+KOO3n56M0w2B7LFcXwX76qmt9sL0sHDDCbMziIhUP2E5NP37JT1J15f0pMFwfZWXl+uT7gQHkc6cOfNj34+KigpWr17NpEmTGDp06CHP8dBDD7Fv376jfs22nsJH+/33+bz7LWNMn/wzcxynR/+udPkd19fXAxATE3PQ7W3r6+rqDnuetuT/P//5D0OGDOGmm25i3LhxlJSU8Ne//pXc3Fz+8Ic/8POf/7yrJYuIiIhIDzCRkcR84nNEn30Bje++Tv2/H8O/Z7u3MRCg8c2XaXzzZSLmnkLs575MxMRDDxjoDckxEdx0zniufWYjACvyKljyYQFfmJXdq3VsWlfV/nzcxAQFwiIiItLvtY0UfuaZZ1i0aFH7p6Cam5v54Q9/SEtLC9/+9rcPe47Vq1f3eJ2DWY/H4NZ6vdGO9BE4t3WSEmst3//+9xk5ciQAw4YN44c//CHXXHMNmzZtYtu2bUdsJdE2IvhQSktLj7L6/q/tNwqD6T1L79H1JT1J15f0NF1jPWzSLOxPZuJsXIP78r9g24b2Tc2r3qF51TswdjLOeRfC1Nkha5cwOhY+NzmFf28qB+BPy3czMtYyNvXQc2EcjaO9vuprA+zbExw8kZHj6pqUI9K/X9KTdH1JTxoM15fruvj9/lCXEXK5ubkA/OMf/2DDhg2cfPLJ1NbW8vbbb5OXl8fFF1/M5z//+W79XrWN9j3cOV955RVeeeUVAEpKSgAvfL766qsBSElJ4Wc/+1m31dQVrnvk+8KsrKzjPn+XQ+G2kcBtI4Y/qqGhodN+hxIb603sMXTo0PZAuE1ERAQzZszg9ddfZ8eOHeovLCIiItIPGGNg6mx8U2djd27BfeXfsHZFcIcdm3Dv+iXkjMKcdyFm9kkYp/dHyV46PZ11RfXsKG/E78Lvlxfwf+eNJDLMOfLBXbR7R3P78/SMMOISNEpYRERE+rf9+/dTXl7OokWLSEhIYPny5dx///3Ex8czbdo0fvSjH3HBBReEpLaNGzfy5JNPdlqXl5dHXl4eADk5OX0mFO5pXQ6F2xLpwsLCg24vKioCDt1z+KPnaQuHP6ptfXNz80G3i4iIiEjfZcZMxPfdn2AL92Ff+Tf2/TchEPA25u/G3v9b7JBMzCc+j5l/OiY8vNdqC/cZrjsli/99aQ+NfpeCmmb+8uEBvjk3o0df199i2bsrOMHcqHGRPfp6IiIiIr2hrXXEokWLjtgiorf94Ac/4Ac/+EGoy+gTujz8YcqUKYA3LLytBUSbhoYGtmzZQkREBOPGjTvseSZNmoTP56OwsPCgw7zbGkunp/edWatFRERE5NiYzGE4X70G59f3Y866ACI6BKEHCrF/vQf3J1fh/udZbFNjr9WVGR/BN+YMaV9+aVslawpqe/Q18/Oa8bd4z2PjHIZk9r0JTkRERESOVVsoPHXq1BBXIofT5VA4IyODGTNmUFJSwquvvtpp25IlS2hqamLRokVERXl92fx+P/v3728fQdwmISGBBQsWUF9fz1NPPdVp27p168jNzSUmJoYTTjihqyWLiIiISIiZlHScS76Oc/tDmE9eAjEdPi1WWYZd8hDuj67Eff6f2LqaXqnpzNGJzMuJa1++a0UR1U2BHnktay27twdHCY8cFxmyvsoiIiIi3Wn9+vWAQuG+rluGI1x55ZXcdNNNPPLII6xfv56cnBy2b9/Oxo0byczM5Itf/GL7vuXl5Vx77bWkp6dz7733djrPV77yFXbs2MG///1vNm/ezJgxYygtLWXlypU4jsM3v/nNQ7aXEBEREZH+x8QnYD79Jew5n8W+/Qr2tWegutLbWFuDfe4f2Fefxpz6CczZn8YkpfRcLcbwnXkZbCndTVVjgIoGP39eWcQPT8nq9sC29ICf2mrvU3a+MBg2KqJbzy8iIiISKuvWrSMnJ4fk5ORQlyKH0S2hcEZGBrfddhtLlixh7dq1fPjhhyQnJ7N48WIuuugi4uLijnwSIDExkV//+tf861//YuXKlWzbto3o6GhmzZrFZz7zGU0wJyIiIjJAmegYzLmfw57xSezy/2Jf+ReUHfA2NjVgX3sa+/rzmJPOwnzic5j0nun3mxQVxtXzMrj1rf0ALN9bw4l7qjltVGK3vs7ubcFRwsNHRRAerlHCIiIiMjC0tY+Qvs1Ya22oi+htBQUFoS6h16SlpQFQWloa4kpkINL1JT1J15f0NF1jfZsNBLCrlmFffgoK9nbe6DiYE0/FnHchJnNYj7z+ve8X8tqOKgBiwx3uPH8U6bFHP/nd4a6vutoAr78YbIlx+nnxxMX7ulixDCb690t6kq4v6UmD4foqLS1tf5/Su8LCvLGvB5urrD86mmspKyvruM/f5Z7CIiIiIiLdzfh8OPNPw7n5Lpzv3gijOnxizHWxK97AvflqAn+6HZu3s9tf/2uzhpIR54XAdS0ud75XiNtNYyn2bG9uf56eEaZAWERERER6nUJhEREREemzjONgTpiH8+Pf4nz/Fpg4PbjRWljzLu6vriVw58+x2zd12+tGhzv870mZOK1dHdYX1/P8looun9ffYtm7O9g6YtT4yC6fU0RERETkWHVLT2ERERERkZ5kjIFJM/BNmoHduQX35acgd2Vwhw1rcDesgfFTcM67GCaf0OXJ4Salx/D5yak8ubEMgL+tLeGEzFhGJB1/kJuf14y/xXseG+cwJEO34yIiIiLS+zRSWERERET6FTNmIr6rf4pz852YuQuhY/i7bSPu/92M++vrsB+uwLpul17rkmlpjEnxQuAW1/LHdwtoCRzfOa217N7eYZTwuMguB9ciIiIiIsdDobCIiIiI9EsmZxTOVT/E+eX/w5x8Jvg69Obdsx33//0a95fX4L7/FtYNHNdrhPsM/3tSFhE+L7zdXdHE4+uOb3Kc0mI/tdVeoOwLg5xREcd1HhERERGRrlIoLCIiIiL9msnIxrniGpxb78ecfj6Edwhb9+dhH/w97k3fxV2+FHscs1EPT4zk8hPS25f/vamcTQfqj/k8u3cERwkPHxVBeLhGCYuIiIhIaCgUFhEREZEBwaSm41z6TZzbHsCc+zmIjA5uPFCA/ctduDd+E/eNl7Atzcd07vMnJDMjIwYAC/zx3ULqW45+9HFDvUtxQTCQHjlWE8yJiIiISOgoFBYRERGRAcUkJuNceAXOHQ9iPvUFiIkNbiwvwf7jz7g/vgr3tWewTY1HdU7HGL63IJPYCO/2+UBdCw99cOCoa8rb2eSlyUDa0DDiEnyHP0BEREREpAcpFBYRERGRAcnExuNccCnO7Q9hPnc5xCcGN1aVY598GPdHX8d9cQm2vu6I50uLCedbczPal5furGLFvpojHucGLHt3BUcmjxijXsIiIiIiEloKhUVERERkQDPRMTiLL8S57UHMJV+HpJTgxtpq7DN/98LhZ/6Orak+7LkWjUxg0YiE9uV73y+isuHwfYqL9rfQ1OgNE46KNmRkhx//mxERERER6QYKhUVERERkUDCRkThnXYDz6wcwl30HUocENzbUYV9cgvvjr+M++Qi2quKQ5/nm3KGkRocBUN0U4J73C7HWHnL/PTuDo4SHj47AcTTBnIiIiIiElkJhERERERlUTHg4zqmfwPnVnzFfvQaGZgc3NjViX3sa98ffwH38fmx5yceOj4v08b0Fme3Lq/bXsXRn1UFfq6YqQNkBbySxMTB8tCaYExEREZHQUygsIiIiIoOSCQvDOelMnF/eg7nqh5A9IrixpRn7+gu4P/km7t/uxZYUdTr2hMxYPjkhuX35wQ8OUFzbzEfl7Wxqfz40O5zoGN1+i4iIyODS1NTE3XffzZlnnsmYMWMYM2YMZ599No8//nioSxvUwkJdgIiIiIhIKBnHh5m7EDv7ZFi3EveFJZC3w9sY8GPffhX7zn8w807DnHchJiMHgMtPSGdNQR0FNc00+l3ueq+QW84ajmO89hAtzS779gSD4pFjNcGciIiIDC7Nzc1ceumlrFixgilTpnDZZZfR2NjIs88+y3XXXUdmZiannXZar9Vz6623kpuby65du6ioqCAqKors7Gw+8YlPcMUVV5CSknLkkwwQCoVFRERERADjOHDCfJwZ82DjGtwXnoCdW7yNrot973Xsijcwc07BnH8xkdkjuPakTG54LQ/XwoYDDTy/pYJPT/J+mNi1vQZ/i3d4bLxD2hDdeouIiMjg8tBDD7FixQouu+wybr/9dkzrL8/nz5/P1VdfzcqVK3s1FH7ggQeYOnUqixYtIi0tjfr6etasWcPvf/97HnvsMZ577jmys7OPfKIBQHemIiIiIiIdGGNg6mycKbNg63ovHN663ttoLXbVMuyqZTBzPuPOv5gLp6SyZEMZAH9bW8LMrFhSUy1bNgT7DI8cE9H+Q5CIiIjIYPG3v/2N6Ohobr755k73Qj6fD4Dk5ORDHdojtmzZQlRU1MfW33777dx9993cc8893Hbbbb1aU6ioqZmIiIiIyEEYYzATp+O77lacG26HqbM77/DhCtxffZ/Pv3Ufo2O8VS2u5f/eLaSosIHyUq91hOODnFFqHSEiIiKDS35+Pnl5eZxyyinExMR02vb8888DcPLJJ/dqTQcLhAE+9alPAbB79+7eLCekFAqLiIiIiByBGTsZ3zU349z4ezhhfqdt4etX8j9v/Z4wGwBgZ3kjL78VnJgue3gEERG67RYREZHBJTc3F4CZM2e2r7PW8uCDD/LSSy+xcOFCJk+eHKryOvnPf/4DwKRJk0JcSe9R+wgRERERkaNkRo7D992fYPN3Y198EvvBcrCWEXXFXLrrFf465nwiMQTKAoS1fkRSE8yJiIgIwKcf2xLqEo7as1+a2OVzrFu3DoDp06ezfPlynnnmGd5//3127tzJ5MmTufvuuw97/AMPPEB1dfVRv960adM477zzjmrfP//5z9TV1VFdXc26detYuXIlkyZN4uqrrz7q1+vvFAqLiIiIiBwjkzMK883rsYX52JeexK58i0/te5tVqZMJS57SHggnRDaSmJwY4mpFREREet/69d6cDDNmzODGG2/kueeea982duxYAoHAYY9/8MEHyc/PP+rXu+SSS44pFC4pKWlfPv300/njH/9IamrqUb9ef6dQWERERETkOJnMHMyV12I/9QXMK//i6jX/4u35c9q378tfh/vLF3E+eTHMXIBx1EZCREREBof169eTk5NDSkoK99xzD7feeitbt27l4Ycf5rnnnmP79u0sXbr0kMe///77x/R6YWFHH3OuXbsWgJKSElavXs2vf/1rzj33XB599FGmTZt2TK/bXykUFhERERHpIjMkE3P51YTPLyX+Q+8Wu8m6PJ00jGl5hql/vgMyh2HOvxgz9xSM4wtxxSIiItLbuqMlQ3+Rn59PeXk58+d7czH4fD5SUlJYsGABCxYs4Oyzz2bTpk3k5eUxYsSIkNWZnp7O4sWLmTZtGgsXLuSaa67h9ddfD1k9vUmhsIiIiIhIN8krjgL8AGyzDfiN4e6JF/PHVX8kpnAf9sHfY597HHPehZh5p2GOYUSLiIiISH/R1k94xowZB92emOi114qLizvkOXqyp/BH5eTkMG7cODZu3Eh5eTkpKSnHdZ7+RHehIiIiIiLdoL7OpbjQ3768N6wJmqEkKoVHxn+G725+wttwoAD7l7uwz/8T84nPY04+CxMeHqKqRURERLpfx0nmPqqiooLVq1czadKkw/bw7cmewgdTXFwMgDNI2n0pFBYRERER6QZ7dzWB9Z5n5UTzrYmjuPmVrQD8d+hs5o1MZM5bj0F9nbdT2QHsY3/CvvgE5tzPYRaei4mMDFH1IiIiIt2nbZK55557joULF2JaJ+Ftbm7mhhtuoKWlhauuuuqw5+junsI7duwgISGBIUOGdFrvui6/+c1vKC0tZc6cOSQlJR3T6/ZXCoVFRERERLrIDVj27mpuX54wNZGRY+J4bVMBy/fWAPD/7ATu+vl9xL/7Cnbps1DrraeyHPvEg9iXnsSc8xnMaYsxUTEheBciIiIi3aNtpPDjjz/Oxo0bOfnkk6mtreXtt98mLy+Piy++mIsvvrhXa3rjjTf41a9+xbx58xg5ciTJycmUlJSwYsUK8vLyGDJkCL/97W97taZQUigsIiIiItJFhftbaGr0hglHRRuGj4oF4FsnZrDpQD0VjQEqGwP8eUMN1593EeasC7BvvYJ97WmoqvBOUlOF/dej2Ff+jTnrU5gzPomJOXSfPREREZG+aP/+/ZSXl7No0SISEhJYvnw5999/P/Hx8UybNo0f/ehHXHDBBb1e18KFC/nSl77EqlWr2LRpE9XV1cTExDB69Gg+//nP87WvfY3k5ORerytUFAqLiIiIiHRR3o6m9ufDR0fiON5HJBMifVw9P5Nb3vT64b27t4a391Rz6qhEzDmfwZ62GLt8KfaVf0F5qXeCuhrss//AvvYM5vRPYs66ABOf0OvvSUREROR4tI0SXrRoEd/+9rdDXE3QxIkT+fWvfx3qMvqMwdE5WURERESkh9RUBSgrCQBgDAwfHdFp+5zsOM4ek9i+fN/qYsrqW7z9IyJxTj8f59b7MJdfDekZwQMb6rEvLcH98ddxn3wE2zaiWERERKQPawuFp06dGuJK5HAUCouIiIiIdMGeDqOEM7LDiY75+C3212YPYUhsOAB1zS53vVeIa237dhMWjrPwHJxb/oT52rWQkR08uKkR+9rTuD/6Ou4/7sOWlfTcmxERERHporZJ5hQK920KhUVEREREjpO/xZK/JzjB3IixEQfdLybcx/8uyMS0Lq8tquflbZUf28/4fDgLTsf5xT2Yq66H7BEdXwz7xou4N34T96/3YA8UduM7EREREeke69atIycnZ1D15+2P1FNYREREROQ47d/bjN/vPY+Nd0gbcujb6ylDY/js5BT+vakcgL98eIAZGTHkJEZ+bF/j+DBzT8HOPgnWrcJ94QnI2+FtDPixy17DvrMUc+JCzHkXYbKGd/t7ExERETkebe0jpG/TSGERERERkeNgre3UOmLkmAiMMYc5Ai6dnsbIJC8Ebg5Y/vBuIX7XHnJ/4ziYE+bh3Ph7nP/9BYyd3KEAF/v+W7g//x8Cf7odu3dn196QiIiIiAwaCoVFRERERI5DRVmA6koXAMcHOaMO3jqio3Cfw7UnZRLmeOHxzvJGnlhfesTjjDGYKTPx3XA7zg9/DZNPCG60Fta8i3vLtQTu+iV255bjej8iIiIiMniofYSIiIiIyHHI6zBKOHt4BBERRzfeYmRyFF8+IY1H1ngTxj21sYw52XFMSIs+quPN+Kn4xk/F7tqK+9KTkLsyuHH9atz1q2HidJzzLoKJ0484ellEREREBh+NFBYREREROUZNjS4F+1ral0ceYoK5Q7lgYgpTh8YA4Fr447sFNLS4x3QOM3oCvqt/ivOzOzFzToGO4e+Wdbh/uAn39uuxuSux9tAtKkRERERk8FEoLCIiIiJyjPJ2NuO2ZrhJKT6SUo7tA3iOMVwzP5OYcO92vLCmhUfWHDiuWsywUTjfvB7nF/di5p8OTodb/F1bce/5Fe4vr8FdtQzrBo7rNURERERkYFEoLCIiIiJyDFy38wRzo8ZHHtd5hsSFc9Wcoe3Lr+6oZPX+2uOuy2Tm4Fx5Lc6v/oxZ9AkI6xBU5+/B3v9b3J9djbt8KdbvP+7XEREREZH+T6GwiIiIiMgxKMxvoanRa8cQGWXIygk/7nOdNiqBk4bHty/fvaKQqsauBbYmPQPny9/B+fUDmLM/DREdQuvi/di/3IV74zdxX38B29x06BOJiIiIyIClUFhERERE5Bjs3hYMUkeOjcTxHf9EbsYYvn1iBsnR3qjeysYA975f1C09gE1yKs7FV+Lc/hDm/IshOja4sbwE+/j9uD/+Bu4r/8I21nf59URERESk/1AoLCIiIiJylCrL/VSUeX15jQMjxhzbBHMHkxDp43vzM9qX38+v5fVdVV0+bxsTn4Dzmctwbn8Q89kvQ3xicGN1JfZfj+Le8HXcZ/+Bra3uttcVERERkb5LobCIiIiIyFHavT04SjhrWDiRUd1zOz0rK47F45Lalx9YfYDi2uZuOXcbExOLc95FOLc9iPnCNyA5Lbixvhb7wj9xb7gS94kHseWl3fraIiIiItK3KBQWERERETkKTY0uBXtb2pdHjzu+CeYO5YpZQ8iK90YeN/hd/u/dQgJu19tIfJSJjMQ581M4t96HufxqSA+OUqa5Cbv0OdyfXIX76N3Y4oJuf30RERERCT2FwiIiIiIiRyFvZzOu6z1PTvWRlBrWreePCnO49qRMnNYWxZtKGnh2c3m3vkZHJjwcZ+E5OLf8CfON6yBnZHBjwI995z+4N30H9/7fYvfu6rE6RERERKT3KRQWERERETkCN2DZsyPYOmJUN48SbjM+LZqLp6a2Lz+2roTdFY098lptjM+Hc+IinJ/difM/N8HYScGN1sWuWoZ7y/8SuOuX2O2berQWEREREekd3Ta8oaysjCeeeILc3FxqampITk5m7ty5XHjhhcTFxR3XOd9++23uueceAL75zW9y5plndle5IiIiIiJHrTC/haZGr5VDZJQhMye8x17roqlpfFBQx/ayRvwu/HF5Ib9bPIIIX8+O5zDGwPS5+KbPxW7biPvyk7BhTXCH9atx16+GsZNxzrsIps7yjhERERE5jKamJu6//36eeeYZ9uzZA8Do0aP52te+xhe/+MXQFjeIdUsoXFRUxE033URVVRVz5swhOzubHTt28NJLL7F27VpuueUW4uPjj+mcpaWlPPzww0RFRdHY2LOjI0REREREDqfjBHMjx0bi+HouDA1zDP97UibXvrSH5oAlr6qJv60t4crZQ3vsNT/KjJ+Cb/wUbN5O7MtPYde8C7a1v/GOTbh3/QJyRmE+8TnMnFMwPl+v1SYiIiL9R3NzM5deeikrVqxgypQpXHbZZTQ2NvLss89y3XXXkZmZyWmnnRbqMrvNvHnzyM/PP+i29PR01q5d27sFHUa3hMIPPfQQVVVVfPWrX2Xx4sXt6x999FFefPFFHn/8ca666qqjPp+1lj/96U/Ex8dz4okn8vzzz3dHmSIiIiIix6yyzE9FWQAA48CIMRE9/po5CZF8ddYQ7ltVDMBzWyo4ISOW2dnH9wm842VGjMF86wZsUT72lX9jV7wBAe97Qf5u7IO/xz7zd8y5n8WcdCYmomfaaoiIiEj/9NBDD7FixQouu+wybr/99vZPGc2fP5+rr76alStXDqhQGCAhIYGvf/3rH1sfGxsbgmoOrcuhcHFxMbm5uaSnp3Puued22nbxxRezdOlSli1bxuWXX05UVNRRnfPll19mw4YN3HzzzWzYsKGrJYqIiIiIHLeOo4Szh4UTGdU703IsHpfEmoJaVu2vA+DO9wq58/xRJEd37wR3R8Nk5GCu+B72gi9iX3sGu+w1aG79vpQWYx/7M/a5xzFnfgpz+nmYmN4Nr0VERKRv+tvf/kZ0dDQ333xzp7ZTvtZPGSUnJ4eqtB6TkJDAD37wg1CXcURdvqNsC21nzJiB43S+QY6OjmbixInk5uayfft2pk2bdsTz5efn89hjj7F48WImT558XKHwDTfccND1d9xxBwBpaWnHfM7+KizM+yMeTO9Zeo+uL+lJur6kp+kak6NRX+enYF9l+/IJc4eSlnbkgQ7ddX3dfF4SX/nHh5TVNVPVFODe1aX84TNTcELVyzctDcZPwr38O9S//BT1LzyJra32ttVUYZ/5O7z6b6LO/Swxn7oYX0p6aOoc4PTvl/QkXV/SkwbD9VVeXt7+Pge7ffv2kZeXxznnnENCQkKnbS+++CIAixYt6vbvVyi//23Bd3fU4DhOj/5d6fIwh4KCAgAyMzMPuj0jIwOAwsLCI54rEAhwzz33kJaWxqWXXtrV0kREREREumTbpmpc13uenhFF+tCj++Rbd0mOCedn54ynLQJetbeSx9fs79UaDsZJSCTukitJf+Bp4r92DU5asN+xbain/pnHKP3mhVTfexv+/XtDWKmIiIiESm5uLgCzZs1qX2et5f777+eFF15g0aJFTJkyJVTl9Zimpiaeeuop/u///o/777+fd955h0Bb+60+pMuxdX19PQAxMTEH3d62vq6u7ojneuqpp9i9eze33HILERHH36utbUTwoZSWlh73ufubtt8oDKb3LL1H15f0JF1f0tN0jcmRuAHLpnXV7cvDRjpHfb105/U1MgY+PyWVpzaWAXDf8j2MjrOMS43u8rm7xYIzYe6pmJVvY1/5FxTu89b7W2hY+jwN/30BZi3AOffzmFHjQlvrAKF/v6Qn6fqSnjQYri/XdfH7/Qfd9vwTlb1bTBd86pKkLp/jww8/BGDq1Km89dZbPPPMM7z//vvs3LmTyZMnc9dddx3yewXwwAMPUF1dfcjtHzVt2jTOO++8w56zp1lrOXDgAN/97nc7rR8+fDh/+MMfWLBgwVGfy3XdI/5dycrKOq46oZsmmjsc2zpLsTnCR9x27NjB008/zac+9SnGjx/f02WJiIiIiBxWYX4LTY3evWxklCEzJzxktXxxehrriurYVtZIwMLv3ingj+eNJCbcF7KaOjJhYZiTzsDOPw3WrcJ95V+wc4u30Vr44F3cD96FCdNwzv0cTJ11xJ8PREREpH9bv3494LWcvfHGG3nuuefat40dO/aIo2cffPBB8vPzj/r1LrnkEs4777zjK7abXHLJJZx44olMmDCBuLg48vLyeOSRR3jssce47LLLeO655/rM6Oguh8JtI4HbRgx/VENDQ6f9DiYQCHD33XeTmZnJJZdc0tWSRERERES6rOMEcyPHRuL4QhdihjmG607J4n9f2kN9i0tRbQv3rSrm2pOOf3RITzCOAyfMw5lxImzf5IXD61cHd9i6HnfresgegTnns5gTF2LCQhe2i4iISM9Zv349OTk5pKSkcM8993DrrbeydetWHn74YZ577jm2b9/O0qVLD3n8+++/f0yvdzx9fOfNm3dMwfPnPvc57r777kNu//73v99peeLEidxxxx3ExsZy33338Yc//IGHHnromOvsCV0OhduGKR+qZ3BRURFw6J7DAI2Nje3Hf+lLXzroPvfddx/33Xcf5513HldccUUXKhYRERERObyKMj8VZd7oFceBEWOOv7VZdxkaF8G3T8zg98u9OT3e3F3NCRmxnD46McSVfZwxBsZPwTd+CjZ/N/bVp7GrlkHbiKD9edhH/g/79N8wZ1+AWXguJvrQg0hEREQGgu5oydBf5OfnU15ezvz58wHw+XykpKSwYMECFixYwNlnn82mTZvIy8tjxIgRIatzxIgRREZGHvX+Q4cOPfJOB/HlL3+Z++67jxUrVhzX8T2hy6Fw25Dn3NxcXNfFcYJz1zU0NLBlyxYiIiIYN+7Q/cPCw8M544wzDrpt9+7d7N69m4kTJ5KVlaXWEiIiIiLS4zqOEs4aHk5kVJfnZ+4Wi0Ym8GFhHa/vqgLgz6uKmZgeTWZ86EPrQzE5ozBXfh/7mS9jlz6HXfYqNDV6GyvLsE8+gn1hCebUT2DO/BQmKSW0BYuIiEiXrVu3DvBaRxxMYqL3S+24uLhDnuN4ewofiyVLlhzT/serrZ92W0eFvqDLoXBGRgYzZswgNzeXV199lcWLF7dvW7JkCU1NTZx11llERXkzNfv9foqLi/H5fGRkZAAQERHBt771rYOef8mSJezevZtTTz2VM888s6vlioiIiIgcVmODS8G+lvblUeOOfvRIb7hqzlC2lNRTUNNCo9/ld+8UcPs5IwgPYXuLo2FS0zGXXIn95CXYt17G/vd5qK70NjbUYV/5F3bps5h5p2HO/Swmc1hI6xUREZHj1xYKT58+/WPbKioqWL16NZMmTSI1NfWQ5+iPPYUP5YMPPgC8Cef6im6ZaO7KK6/kpptu4pFHHmnvF7J9+3Y2btxIZmYmX/ziF9v3LS8v59prryU9PZ177723O15eRERERKTb7N3VjHW958mpPpJSenxu5mMSHe5w3SnZXP/qHvwu7Chv5LHcEq6YNSTUpR0VExuHOe8i7Nmfxq54E/vq01C839vo92OXL8UuXwozTsQ5+zMwfoompRMREeln2iaZe+6551i4cGH7f8ubm5u54YYbaGlp4aqrrjrsOXqjp3B32rp1K0OGDCE5ObnT+vz8fG688UbA60ncV3TLdysjI4PbbruNJUuWsHbtWj788EOSk5NZvHgxF1100WGHgouIiIiI9BVuwLJnR7B1xKjxfWuUcJsxKVFcfsIQHl5zAICnN5czIzOWmZmxIa7s6JnwCMzCc7AnnwW5K3Ff/Tfs3BLcIXclbu5KGDEWc85nMLNPxvh8oStYREREjlrbSOHHH3+cjRs3cvLJJ1NbW8vbb79NXl4eF198MRdffHGIq+xeL7zwAvfeey8nnXQSw4YNIy4ujj179vD666/T2NjIGWeccchOCaFgrLU21EX0toKCglCX0GvaepaUlpaGuBIZiHR9SU/S9SU9TdeYHEx+XjMfrqgHICracOYnE3CcYx+l2hvXl2stv3oznw8K6gBIivJx5/mjSIrqWyObj4XdsQn3lX9D7sqPb0xJ93oOLzxn0E9Kp3+/pCfp+pKeNBiur9LS0vb3OVjt37+fE088kUWLFpGQkMDy5cuprq4mPj6eadOmcemll3LBBRd0++u2jRT2+/3dfu6j8d577/G3v/2NDRs2UFJSQn19PQkJCUyZMoXPf/7zXHjhhcf06aejuZaysrKOu97+e8coIiIiItLNdm8LjhIeMSbyuALh3uIYw/cWZHLNi7upbAxQ2RjgzncLuen0HJx+2m7BjJ2M7+rJ2MJ87NJnse+9AS3N3sbyEuyTD2Nf+Cdm4bmYMz+JSUkPbcEiIiLyMW2jhBctWsS3v/3tEFfTexYsWMCCBQtCXcZR6xvTKIuIiIiIhFhFmZ/K8gAAjgMjxkSEuKIjS4oK49qTgiNE1hTW8fyWihBW1D1MZg7Ol7+Lc8dDmE99EeITgxsb6rGvPY37k6twH/g9Nm9n6AoVERGRj2kLhadOnRriSuRwFAqLiIiIiAC7twdHCWcNDycyqn/cKp+QGcvnJqe0L/917QF2ljeGsKLuY+ITcS74Is7tD2K+/B3IyA5uDASwK9/C/dW1BH53I3bdKqzrhq5YERERAYKTzCkU7tvUPkJEREREBr3GBpeCfS3ty6PG9c0J5g7l0unprC+uZ3tZI34XfvvOfn7/iZHERgyMidlMRCRm0Sewp5wD6z/A/c8zsHV9cIet63G3roeh2V7f4ZPOwERGhaxeERGRwWzdunXk5OSQnJwc6lLkMPrH8AcRERERkR60c0sTtnWQaXKqj6SU/jV2Itxn+MHJWUSHebf3hTUt3PleIe4Am1PaOA5mxlx8192K89M/YE481ev10aZ4P/Yff8a9/qu4T/0FW14SumJFREQGqXXr1vH++++Hugw5AoXCIiIiIjKoNTW55O0Mto4YO6l/jjDNjI/gf+ZntC+/n1/LvzeVh7CinmVGjMX5xg9wfv0A5pzPQHRscGN9HfbVf+P++Bu49/8Wu2tryOoUERER6YsUCouIiIjIoLZ7WxMBb345EhIdhmb1r1HCHZ08IoFPTwx+VPOx3BJyi+pCWFHPM6npOBd9Dec3D2G+eBUMyQxudF3sqmW4t/2QwG0/xF31DrbtD1tERERkEFMoLCIiIiKDVkuz22mCuXGTozDGhLCirrt85hAmp0cD4Fr43TsFlNS1HOGo/s9ExeCc8UmcW/4fztU/hQnTOu+wayv2/t/g/uQbuK/+G1tXG5pCRURERPoAhcIiIiIiMmjt3tGMvzUvjY13yMwJD21B3SDMMfxwYTbJUd4kc9VNAe5Ytp+WgBviynqHcXyYGSd6fYd/difmpDMhrMPo7/JS7FN/wb3ha7iP/QlbsDd0xYqIiIiEiEJhERERERmU/H7Lrq0dRglPisI4/XuUcJuU6DCuX5iNr/XtbC9r5KEPDoS2qBAww0bhfPUanNsfwnzqCxCfGNzY1Ih982Xcm68m8IebsLkrsa5aS4iISNfZATbRq/S+3riGFAqLiIiIyKCUt7OJlmbvhjs61iF7RP8fJdzR5CExXDFrSPvyy9sreX1XVQgrCh2TmIxzwaU4dzyEueJ7kDOy8w6bc3Hv+RXujd/Cfe0ZbL1aS4iIyPExxuC6g+PTOdJzXNft8ZZmCoVFREREZNAJBCw7twRHCY+dGIkzQEYJd/SpCcmcMiK+fflPK4vYVd4YwopCy4RH4Jx8Fs7P7sS57tcwawGYDj8SlRZjn3wY94dfxf37/1NrCREROWYRERE0NTUdeUeRw2hqaiIiIqJHX6P/Tq0sIiIiInKc9u1upqnRGyUcGWUYNqpnb7pDxRjD1fMyyatsYl9VM80Byx3L9vP7T4wkLtIX6vJCxhgDE6bimzAVW3YA++bL2GWvQV2Nt0NzE/atV7BvvQKTZuCc8UmYPgfjDN7vmYiIHJ3o6GiqqrxP5kRGRuI4Tr+fxFZ6h7UW13VpamqioaGBxMTEIx/UBQqFRURERGRQcV3Ljs3B0bJjJkbi8w3cH9aiwx1+tDCb617Jo8HvUlTbwh/fLeDG03Jw9EMqJnUI5vNfwX7yC9iVb2FffwHy9wR32JyLuzkX0oZiTluMOfksTFxCqMoVEZE+LiwsjMTERBoaGqisrFR/4V7kON6nf/pz+w5jDBERESQmJhIW1rOxrUJhERERERlU9ue10FDv/YAWEWkYMSYyxBX1vJzESL63IIM7lhUAsLqgjqc2lHHxtLQQV9Z3mMhIzMJzsKecDds24r7+Any4AmzrD5alxdin/oJ95jHM3IWY08/HjBoX2qJFRKRPCgsLIz4+/sg7SrdKS/Pua0pLS0NcSf+gUFhEREREBg3rWrZ3GCU8anwkYWGDY7TsScMT+OykRp7eXA7AP9aVMjY1illZcSGurG/p3FqiBPvWS9i3O7SW8Ldg33sd+97rMGIs5vTzvJA4YuD/ckFEREQGDk00JyIiIiKDRmF+C3U13sjPsHAYNXZwBXlfPiGdqUNjALDAH5YXUFzbHNqi+jCTmo7zua/g/OZhzBXfgxFjO++QtwP7l7u8iemefBh7oCA0hYqIiIgcI4XCIiIiIjIoWGvZvqnDKOFxkYRHDI5Rwm18juGHJ2eREu19YLCm2eWOZQU0B/pv773eYCIicU4+C99P/4Dzk99hFpzh/VahTX0t9rVncG/8FoE7f47NXYl1A6ErWEREROQIFAqLiIiIyKBQXOCnusoLP30+r3XEYJQUHcb1C7Nom1tvZ3kj968qDm1R/YgZNR7na/+L85tHMBdeAWlDO++wYQ3uPb/C/ck3cV96EltdEZI6RURERA5HobCIiIiIDHgfHSU8YkwkkZGD91Z4UnoMX5s9pH35PzureH5LeQgr6n9MfALOuZ/DufU+nO/9DKbNAdNh5HnZAezTf8O9/msE/nw7dtNabD+eDV1EREQGFk00JyIiIiIDXmmxn8py7+P8jgNjJg7OUcIdnT8+ma2ljby9pxqAh9ccYGhcOCfmaLb0Y2EcB6bNwTdtDrakCPvWK9jl/4Ha1onpAgH44F3cD96F9AzMonMxJ52JSUgKad0iIiIyuA3e4REiIiIiMmhs39zU/nzYqAiionUbbIzh6nkZjE+NAsC18Lt3CthZ3niEI+VQTHoGzoVXeK0lvnYtjJ3UeYeSIuy/HsW9/mu49/8Wu2Ud1trQFCsiIiKDmu6GRURERGRAKy/xU3bAD3if7h87SaOE20SGOdx4Wg5DYr1J05oCllvezKekriXElfVvJjwCZ8Hp+G64A+fnd2PO+CRExwZ3CPixq5bh/v6nuDd9B/e1p7E11SGrV0RERAYfhcIiIiIiMqBt3xwc+ZozIoKYWF8Iq+l7kqLC+NnpOcSGez8aVDT4+dWb+dS3BEJc2cBgskfgfPEqnN/+BXPFNTB6Qucdivdjn3wE9/orcB/4nTd6WL2HRUREpIcpFBYRERGRAauy3M+BQn/78tjJGiV8MMMSI/nRomx8rfOk7als4nfvFBBw1dqgu5jISJyTz8T349/i3Hwn5rTzIDomuIPfj135tjd6+Kffwn1xCbayLGT1ioiIyMCmUFhEREREBqyOvYSzhoUTF69RwocyPSOW78zLaF/+oKCOB1YXq+dtDzA5o3C+9C1v9PDlV8PIcZ13KCnCPvN33OuvJHD3LdgPV2D9/oOfTEREROQ4hIW6ABERERGRnlBTFaAoP9gbd9zkqBBW0z+cNSaJwpoWntrojVB9eXslWQkRXDAxJcSVDUwmMgqz8BxYeA52707sO//BrngLGuq8HawL61bhrlsFCUmYBWdgTjkb0tJCW7iIiIj0ewqFRURERGRA6thLeGhWGAlJGiV8NL40I42i2mbeyasB4OEPDjA0Npx5w+JDXNnAZoaPwVw6BnvhV7Fr3sO+8x/Yuj64Q3Ul9tV/Y1/9N+WTZxB91gXY8dMxkWqJIiIiIsdOobCIiIiIDDh1NQH279Uo4ePhGMM1CzIprfOzpbQBC/x+eQG3nj2ccanRoS5vwDMRkZj5p8H807AHCrDL/4td/l+oKm/fp2VTLi2bciE6BjN3IeakM2H0BIwxoStcRERE+hX1FBYRERGRAWfz+kZobYWbNjSM5FSNhTgWET6Hn5yaTUZcOABNAcutb+ZTUtdyhCOlO5khWTif/TLOHQ/hXH0TnDAPnA4/wjXUY99+Fff263Fv+o43OV15SegKFhERkX5DobCIiIiIDCilB1oo3BcMLydM1Sjh45EYFcZNp+UQG+H9yFDRGOCWN/KpbwmEuLLBx/h8mBlz8X33RpzfPELcl7+NL3NY552K93uT0/3o6wT++DPcFW9im5oOfkIREREZ9BQKi4iIiMiA4bqWjWsa2pezh4eTkqZRwscrJzGSHy/KJqz1p4a8qiZ+s6yAgGtDW9ggZhKTif3cl0m99584N9zuTVQX1aGth7WwaS32oT/gXnc57l/vwW7fhLX6MxMREZEghcIiIiIiMmDs3dVMdZULgM8Hk2aoB25XTRsay3fnZbYvf1hYx32rihUyhpgxBjN2Ms7lV+P87q+Yr/8AJp8AHfsKNzZgl72G+5sf4f70W7gvPIEtOxCymkVERKTv0LAJERERERkQmptdtqxvbF8eOymK6BiNgegOZ4xOpLCmmSUbygB4dUclaTFhXDwtLcSVCYCJjMTMOxXmnYotL8GueBP77utQvD+404FC7LOPYZ99DMZPwcw7DTP7ZExsXOgKFxERkZBRKCwiIiIiA8K2DY20NHujV6NjHcZMiAxxRQPLpdPTKKpt4e091QA8tq6UcJ/hs5NTQ1yZdGRS0jHnXYRdfCHs2op997/YVe9AQ11wp20bsds2Yh+/D6bPxZl3GkybgwkPD1ndIiIi0rsUCouIiIhIv1dTFWDPjub25SknROELM4c5Qo6VMYb/mZ9BVaOf3KJ6AP7yYQkRPofzJySHuDr5KGMMjJmIGTMRe8nXsWvfx773OmxcC9ZrsYLfD2vew13zHsTEYuacgpl3GoydhHE0yl5ERGQgUygsIiIiIv2atZYNHzbQ1uI2dUgYGdka8dgTInwOPzk1h1++sY+NB7wJ/e5fXUy4z3DO2KTQFieHZCIiMScughMXYasrsCuXYVe8CXk7gjvV12HffhX79quQOgQz71TM/NMwmcNCVreIiIj0HIXCIiIiItKvFe1vobTY7y0YmDoz2hslKT0iKszhp6fl8PPX97G11Ovh/P/eLyLcMZw+OjHE1cmRmIRkzFkXwFkXYAvzse+/6QXEHSegKzuAfelJ7EtPwvDRmBMXYeYsxKSmh6xuERER6V4KhUVERESk3woELJvWBieXGzkmgoQkXwgrGhxiwn387PRh/Oy/+9hZ3ogF7lpRSLjPcMqIhFCXJ0fJZOZgPnMZ9tNfgp2bvQnqVr0D9bXBnfbuwu7dhX3qL147ihMXeRPUJapliIiISH+mUFhERERE+q1dW5uor/P6o4ZHGCZMjQpxRYNHXISPn58xjJuW7mVPZROuhd8vLyDMMcwfFh/q8uQYGGNg7GTM2MnYL3wDNnyAu+JNyF0F/pbgjju3YHduwf7zQZg4DTN3IWbWAkys/rxFRET6G4XCIiIiItIvNdS7bN8cHCU8YWoUEZGaHKs3JUT6+MWZ/7+9O4+Pq77v/f86s2u0y5KszfKCd3lfADssJkCp3ZKkvwu00DQJl5a0SZP8kl9vKAnQpDTNzeMm7c1CE5qkwO9CqF1y4SbgQKBhMZt3Cy94l2VbsmTt6+zzvX+c0WZLXrSNpXk/H8zjnPM9y3zHHI9n3vM9nzONr796ktPtYeIG/sfbNXzthjJWlmYku3syDJbLDcuuxbnsWkx3F2bP+5jtW+DAHognblBn4vBhJebDSswzP4aFy7Guvh5r2TVYPn9S+y8iIiKXRqGwiIiIiExIH34QIJYoJZyZ7WD6VZ7kdihF5fhcPHpLOV97tZozHRGicfjvW2p4aF0ZS4vSk909GQHLn4619mZYezOmow2z8107ID6yn947O8ZisHcHZu8OjNsDi1dhrboOa/FKLF9acl+AiIiIDEmhsIiIiIhMOM2NUWqq+y5rX7Q8DYdDN5dLlrw0F4/eXM7XXj3J2a4I4ZjhW2+c5u8+Oo2KQo0cnQyszGysdeth3XpMSxNm59uYbVug6nDfRpEw7HoXs+tdjMcDi1ZirViLtXS1RhCLiIhcYRQKi4iIiMiEYoxh365A73JxmZv8qe4k9kgACtLd/MMt03jw1ZM0dUcJxQx///pp/v7maczL14jRycTKnYJ1y8fhlo9jGuow27fYI4hPn+jbKByGXe9hdr2Hcblh0QqslWuxllyN5dcIchERkWQbtVC4qamJjRs3UllZSUdHB7m5uaxevZo77riDjIyL1xPr6Ohg27Zt7Nq1i5MnT9Lc3IzL5aK8vJybbrqJdevW4XCoRpyIiIhIqjtVFaatJQaAwwELl+nmcleKqRkeHr25nK+/Wk1LMEYwGuebvzvFo7eUc1We/j9NRlZBEdaGO2HDnZjak5gd72B2vQs11X0bRSOwZytmz1aMy2XXIF65FmvpNVjpqj0tIiKSDKMSCtfV1fHwww/T1tbGqlWrKC0t5ejRo2zevJk9e/bw6KOPkpl54TvSvvfee/zsZz8jNzeXiooK8vPzaW1tZdu2bfzkJz9h9+7dfOUrX7HvjCsiIiIiKSkSMRzc23dzuavme/GnO5PYIzlXaZaHv7+lnK+/epL2UIyuSJy/+8+T/MMt5czIVTA8mVkl5VgfK4eP3Y05cxqz8x3MznfhdFXfRtEofLAd88F2jNMJC5YmSkxcjZWVk7S+i4iIpJpRCYV//vOf09bWxr333sv69et725966ileeuklnn32We6///4LHqOkpISvfvWrrFixYsCI4HvuuYcHH3yQrVu3snXrVq699trR6LKIiIiITEBH9gcJBe0bXPnSLGYvUMh4JSrP9vL3N0/joddO0hmO0xGO8/XXTvL1G8tYqBrDKcEqLsP6wz+GP/xjTH2tXWd4xztw8ljfRrEY7NuF2bcLY1lw1QKs5ddgLV+DVVCUvM6LiIikgBHXY6ivr6eyspKCggJuu+22AevuuusuvF4vW7ZsIRgMDnEE26JFi1i1atV5JSJycnK49dZbAThw4MBIuysiIiIiE1RnR4zjR0K9ywuXpuFy6SqyK9XMXB/f+Og0/G77831nOM7f/e4U75/qSHLPZLxZU0twrL8D58P/jOMf/xXrjs/AjDkDNzIGjh7A/McTxL92P7FvfIH4//kF5uQxjDFJ6beIiMhkNuKRwvv27QNg6dKl5wW6aWlpzJ8/n8rKSo4cOcLixYuH10mX3c1LrSn8wAMPDNr+ne98B4D8/Pxh9WMi6vmzS6XXLONH55eMJZ1fMtZ0jk08u9+vxcTt+cJiH0tWFF+xpcV0ftny8+FHubn8zf/ZT3N3hHDM8J0tNXxl3VX80ZLiZHdvwprQ51d+PixYBH96P7GzZwi+/yahrW8ROfgBxON929VUY2qqMS/+O46CIrzX3ID3mhtwL1iC5dT90sfShD6/5Iqn80vGks6vyzPikcK1tbUAFBcP/qGuqMi+7OfMmTPDOn4sFuPNN98EYNmyZcM6hoiIiIhMbKeruzhd3d27fM31+VdsICwDzSvM4Cd3LaUs2y71ETfw3deP8dP3qjUCNMU5C4tJ/9ifkPetf6Hg578i6/MP4ln1EXB7BmwXb6ij+8VNtDz81zTcezttP/gHgu+9TjzQlaSei4iITHwj/om1u9v+cO73D14brKe9q2t4/2A/88wznDp1iuXLl19yKNwzIngojY2Nw+rLRNTz60gqvWYZPzq/ZCzp/JKxpnNs4giH4mz5XV/JgfJZHrA6aWzsTGKvLkzn10Be4Fu3lPEPb5zmSJNdVu7Jbac43dTO564uwulQwH85Ju35tWwNLFuDIxiA/bswu9/HfLAD+oW/pqON4OubCb6+GZwumLcIa8nVWEtWqQ7xKJm055dcEXR+yVhKxfOrpKRk2PuO+XU3Pb/+D2ckx+bNm3nxxRcpLS3lC1/4wmh3TURERESucMYY9mzrJthtf6Z0eyzmL9bN5SaiHJ+LR28u53+8XcPOWjvke+1YG23BKP/tulK8rhFfxCiThOVLg5UfwVr5EUw0Aof32QHx7q3Q1ty3YSwKB/ZgDuzB/Pu/Qkk51pLVWEtXw6x5WA5n8l6EiIjIFW7EoXDPSOCeEcPnCgQCA7a7VC+//DJPPvkkZWVlPPLII2RkZIysoyIiIiIy4VQdCVNfG+1dXna1H69P4eFEleZ28LUby3hs6xl+d7wdgO01XTz8nyd56MYysnyqFSsDWS43LFyOtXA55u7PwokjmA+2Yyq3w+mqgRvXnsTUnsS8/EvIyMRatAqWrMaqWI7lT0/OCxAREblCjfhTV88w5aFqBtfV1QFD1xwezEsvvcRTTz3FtGnTeOSRR8jOzh5pN0VERERkgmltjnKgMtC7PHOul6JSdxJ7JKPB5bD44rXF5KW5eW5/EwCHGoP87asn+bubypia4bnIESRVWQ6HPQJ41jz4xCcxzQ12QPzBDviwEqKRvo07OzDvvw7vv45xOuGqBViLVmItXgGlM1STXEREUt6IQ+GKigoAKisricfjOBx9IzcCgQAHDx7E4/EwZ86cSzreCy+8wC9+8QtmzJjBQw89RFZW1ki7KCIiIiITTCRs2PluNyZuL2fnOlmwRGUjJgvLsvizZQXkpbn46Y56DFDTHuaB39rB8Mxc/b+Wi7PyCrDWbYB1GzChIHxY2RcSDygzEbNLUBzeh/nfT0FOHlbFCqzFK2HBUiy/rkoVEZHUM+JQuKioiKVLl1JZWckrr7zC+vXre9dt2rSJUCjELbfcgs9nf7CLRqPU19fjdDopKhp4I4DnnnuOTZs2MWvWLB566CGVjBARERFJQcYYPtjRTXeXnQi7XLByrR+nUyP7Jps/mJdLTpqTf3rnDNG4oSUQ5WuvnuTBG0pZUqTL/eXSWV4fLLsGa9k1mHgcTh3HVG6zy0ycPDZw49ZmzDuvYd55DRwOmDUfa1EiJJ42S6OIRUQkJYxK0a777ruPhx9+mCeeeIK9e/dSVlbGkSNH2L9/P8XFxdx999292zY3N/PlL3+ZgoICHnvssd72N954g02bNuFwOJg/fz6bN28+73kKCwtZt27daHRZRERERK5Q1cfC1J7quwx86Wo/6Rm6YdRk9ZHyLLK8Tr79Zg1dkTjdkTjffP00X1pTzA0zdNWgXD7L4YDps7Gmz4aP3YNpa8Hs3wX7dmH274buzr6N43E4egBz9ADmhachOxdr4XKoWI61cBlWpkoZiojI5DQqoXBRURHf/va32bRpE3v27GH37t3k5uayfv167rzzzksa8Xv27FkA4vH4oIEwwMKFCxUKi4iIiExi7a0x9u/uqyM8/SoPJeWqMTvZLZ6azj/eWs43Xz9NcyBKNG743ju1HGsO8mfLCnA5NHJThs/KzsVaezOsvRkTi9k3q9u3E7N3J1QfHbhxWwvmvd/Be7/DAEybaYfDC5fB7IVYHm8SXoGIiMjos4wxJtmdGG+1tbXJ7sK4yc/PB6CxsTHJPZHJSOeXjCWdXzLWdI5deaIRw5ZXO+jssMtGZGY7uP6WTJyuiRcI6vwanoauCN/43SlOt4d72xYUpPHfrithil83Geyh82v0mPZWzIHdsHcX5sAu6OwYemOXG+Ys7AuJy2bao5InGZ1fMpZ0fslYSsXzq6SkZNj7jspIYRERERGRkdq7q7s3EHY6YeXa9AkZCMvwFaS7+c7vTed/vlfL9pouAD5sCPDlzSf4/64rYanqDMsos7JysK69Ca69CROPQfUxzL5dmAN7oOqQfZO6HtGIfTO7Dysxv3wKMrOx5i+BhcuwFizDmlKQtNchIiJyuRQKi4iIiEjSnaoKc/pEXx3hxSv9ZGapjnAqyvA6+dqNZfzvA808U9lA3EBbKMbf/ecp7lmSzx2LpuDQjcBkDFgOJ8ycizVzLtz+J5hgNxzahzmwxw6J604P3KGjDbN9C2zfYpeaKCjCmrcY5i/BmrcYKycvCa9CRETk0igUFhEREZGk6miPsXdnd+9y2Qw302aqjnAqc1gWd1RMYV6+j+++XUtrMIYBnvmgkYONAf7ftSVkefWjgYwty+eHpVdjLb0aANPcgPmwEg7ssacdbQN3aKjDNNTB26/aIXFRqR0Oz18C8xbrpnUiInJFUSgsIiIiIkkTixp2vtvVe4V2eqaDxSv8ye2UXDEWT03nnzfM5Htv17DvrH0Dwp21XXx5cxVfvb6UeflpSe6hpBIrrwDrI7fAR27BxONw+gTmw8Qo4qMHIBweuENdDaauBvPmy/Zy6XQ7JJ63GOYtwkrPHPfXICIi0kOhsIiIiIgkzf49ATra7DrCDgesWpuOy63SANInL83F399czjOVDfzyQDMAjd1RvvZqNf91xVQ2zM3BUjkJGWeWwwHls7DKZ8Ft/w8mEoGqw5hDezGH9sKxg3YN4v5qqjE11ZjfvQiWZYfEcxbCnEVYcxaq3ISIiIwrhcIiIiIikhS1J8NUH+sbWVexPI2sHJUEkPM5HRafWl7I/II0/ud7Z+gKx4nG4V931HOgoZvPX1OE361zR5LHcrthbgXW3Aq7HnE4BMcO9oXEVYcH3rTOGHuk8ekT8Ppmu9xEYYkdEs+twJpTAflT9YOHiIiMGYXCIiIiIjLuujpjVO7oqyNcPM3N9KtUR1gu7OqyTP55vZfvbKnhWHMIgLerO6hqCfHA9aVMz/EmuYciNsvjhQVLsRYsBcAEA3D0w76QuPooxOMDdzpbizlbC++8ZofEufmJkcSJsLmozB6hLCIiMgoUCouIiIjIuIqEDTve6e69stqf7mDpKr9GxMklmZrh4b//3nR+vvMsLx9pBaCmPczfvHyCTy4t4A/n5eJ06FySK4vlS4NFK7AWrQDABLvh2CHMkf2YI/vh+OHzy020NGK2vQXb3rJDYn8GXDUf66r5WLMXwIw5WF7fuL8WERGZHBQKi4iIiMi4iUQM77/ZSXurfRm15YCVa/y4PQrx5NJ5nA7+6uoiFhSk8S9b6wjFDOGY4d92nWVLdTt/fU0RM3IVlsmVy/L5oWI5VsVyAEwkDCeOYg7vs0PiowchFBi4U3cn7N2B2bvDDokdDpg2C+uq+TB7gR0W5xWM+2sREZGJSaGwiIiIiIyLSMSw9c1OWpv76mouXpFGzhR9JJXhWTczm1m5Pr77Ti3VrXY5iSNNQb7ymxP8l4op3LloCh6nLreXK5/l9sCchXa5CMDEYnC6CnN4P+bwfjh6ADrbB+4Uj0P1UUz1Ufjdi30lJ66a3zuimLKZdr1jERGRc+gTuIiIiIiMuWgiEG5p6hcIr0xj+lWqASsjU57j5Xu/P4PnP2xi494monFDzMCmfU28e7KDz19TxMJCf7K7KXJZLKcTps/Gmj4bbv04xhg4ewZz7EO7NvGxg1B78vwdWxoxO96GHW/bIbHLZY8mnjkXZs7FmjUXCopVrkdERBQKi4iIiMjYikYMW98aGAgvWpHGjNkKhGV0uJ0Wdy3KZ+20TB7bWseBBvuy+9PtYR589STr5+TwqeUF+N3OJPdUZHgsy4KpJVhTS2DtzQCYrk6oOoQ5dhBz9EOoOgyh4MAdo1GoOoypOmzvA5CRCTPmYs2cgzVzHsycg5WRNb4vSEREkk6hsIiIiIiMmWjUsHVLJ82NfYFwxfI0Zs5RICyjryzby7duLeeVI608tbuBQDQOwG+OtLKtppO/Wl3E6rKMJPdSZHRY6RmwaCXWopVAouREzQl7FPHRg5iqQ9BQd/6OnR2wbydm3047JAYoLMaaMRdmzCa8ZAWuWXPH7XWIiEhyWMYYc/HNJpfa2tpkd2Hc5OfnA9DY2JjknshkpPNLxpLOLxlrOsfGXjRq2Lali6az0d62imU+Zs2b/DcA0/mVfA1dER7fXsf2mq4B7ddPz+TPV00lxzdxx8fo/JJLZTra4cRhzPHDdkhcdcS+Yd3FWBYUlWFNv6qvjEX5LCzv5H//lrGl9y8ZS6l4fpWUlAx734n7SUhERERErliDBcILUyQQlitDQbqbr99YxtvVHfx0Rz1tIXu0+pbqDvac6eK/rpzKTTOzVFtVJjUrMwsWr8JavAqgrzZx1SE4nigrcaoKYtGBOxoDZ05hzpyC99+wRxRbDigqxZoxuy8oLpuB5Usb99clIiIjp1BYREREREZVLGrY/vbAQHjBUh9XKRCWcWZZFtfPyGJpcTpP7Krnd8fbAegIx/n+e2d4+Ugrn15WQMVU3YhOUsOA2sTX3gSAiUTg1HFM9VE4cRRnzQmip6ogHh+4s4n3BcXvvZ4Iii0oLMEqnwXTZmJNmwXlM7Gycsf9tYmIyOVRKCwiIiIioyYWNWx7u4vG+n6B8BIfs+crEJbkyfI6+dKaEm6Ykc2/bK3jbFcEgEONAb722klWlqTzZ8sKmJmr81RSj+V2w6x5WLPmATAlPx8TCtK4ezum+hhUH7GnZ07bwXB/xkB9Daa+BrZv6atRnJ0L02ZhTZuZCIxnQUERlsMxrq9NRESGplBYREREREZFLGbY/s7AQHj+Yh+zFyhokyvD8uJ0fviHM3n2g0ZePNRCNG5HWDtru9hV28UNM7K4Z0k+RZmeJPdUJLksrw9r9gKs2Qt620woaI8oPnEUqo/ZI4vras4PigHaWqDtnJvZedOgbDpW6YyBU79u/igikgwKhUVERERkxGIxw453umio6wuE5y3yMWehAmG5svhcDu5dUcgfzM3l2b2NvFHVRtyAAd480c47J9u5bXYOdy3KJydNX5dEelheH8xeiDV7YW+bCYeg5iTm1DE4VYU5eRxOn4Bw6PwDhAJw7CDm2EF735723Hy7NnHp9L5pUSmWyz3mr0lEJJXpU46IiIiIjEg0Ytj5Xhdnz/QFwnMrfMytUCAsV67CDDdfWlPMHy3I4+nKBrae7gQgGoeXDrfyn8fb+Nj8PD6xII90jzPJvRW5MlkeL8ycgzVzTm+bicfsm9mdPN4XFJ86Dh1tgx+kpRFaGjF7d9j7AzhddjBcOh1KyrFKyqF4GhQWYTn091FEZDQoFBYRERGRYWttjrLrvW66OvsuH55b4WXeIgXCMjGU53j52o1lfNjQzf+/u4EDDQEAglHDpn1N/OZIK3dWTGH93Bw8TtVDFbkYy+GEojKsojK4+gYAjDF2SYmaaszpE3D6BKbmBJw5BdHo+QeJRe1ta6rt/XvaXW47LC4pt8Pi4mlQUq6wWERkGBQKi4iIiMhlM8ZQdTjEgQ+CA8pJzlno1QhhmZAWFPj5x1vL2Vnbxf/a08CJVvvy945QjH/bdZZfHWzmjoopfHRWNl6XwmGRy2FZFuTkQU4eVsXy3nYTjcLZWjso7gmBT5+AprODHygasQPl0yfs/Xvae8Li4mn2iOKiMqyiUphaYo9mFhGR8ygUFhEREZHLEgrG2bOte0C5CKcLlqz0UzZDN+iSicuyLFaVZrCiJJ23TrTziw8aqe+MANDYHeUn2+t5urKB22bnsGFeLvl+1TwVGQnL5eorD9GP6e6C2mpM7UmoPdU7pa158AOdExZDIjC2LMgrgOLEyOWeEczFpZCZY4fVIiIpSqGwiIiIiFyyxvoIu97vJhTsHZ9Fdq6TFWv8ZGTq0l2ZHByWxbqZ2XykPIvfHm1l475G2oIxADrDcX55oJnnP2zmI+WZ3D4/j3n5aUnuscjkYvnTz7upHYDp6oQzJy89LDbGHnXcdBazb5fd1LPOnw5TS7GmlsLUYnu+sASmFmP5/GP34kRErhAKhUVERETkouJxw+H9QY4cGHhH+VlzvSxY4sPh1GgrmXzcTos/mJfLR2dl89qxVl481EJdYuRw3MCW6g62VHcwd4qP2+fnsbY8E5dDfxdExoqVnnHhsPjMaag7jamrgbrT0FDPgBpH/XV3QdVhTNXhvuP0zGTnQmFxIiQuwZpaAoUldpvKUYjIJKFQWEREREQuqLsrzq73umhpivW2ebwWy672M7VEl8/L5JfmdnD7/Dw2zM1lR00nvzrUwr767t71h5uCfO+dWp7c5WLDvFx+b3YOWV6NnBcZL0OGxZEInD2TCIpPQ11NYnoagoGhD9jWAm0tmCMH7OP0X5czxb6xXUERFBRDQRFWQTEUTIX0TJWkEJEJQ6GwiIiIiAyp9lSYD7YHiET6vhLnT3Wx/Bo/vjTdbEtSi9Nhcc20TK6Zlsnx5iC/PtTCWyfaicbtvx9NgSj/a08DG/c2ctPMbP5gXi7TczSqUCRZLLcbSsuhtJz+Ua0xxi45UVeDOVsL9bWY+lo7QG44A9HokMektQlamzCH9/cdr2cmLT0REhdBoR0aW/lTIX8q5ObbNZRFRK4QekcSERERkfPEoob9ewJUHwv3tlkWzFvkY/Z8L5YukZcUNyvPx5fWFPPpZQW8fKSVzUdaeusOh2OGV4628srRVmbmerlxRhY3zMhiim5MJ3JFsCzLHvGbMwVr/pIB60w8Bk0NcPYMpr4mMa2Fs7XQWA/xIcpRAAS64OQxzMljfcfrmXE4IDcfphTaQfGUQsifipVvT8nJw3LoCgMRGT8KhUVERERkgKazUfbu7Kajve+Lb5rfYsWadPLy9fFRpL+cNBd/siSf/1KRx5bqDn51sJmqlr7a21UtIapaGnhqdwOLpvq5cUYWa8ozyfAo/BG5ElkOJxQU2SN+K5YPWGeiUWg+C2frMA110FiHOVtnjy5uqINwaIijYofJPTe9O7yv75g9M04X5OXbQXFeAeQVwJQCe35KgT3S2O0Z/RcsIilLn+pFREREBICWxigH9wVprB942WzxNDdLV6Xh9qhchMhQ3E4HH52VzU0zs9h/NsDmwy1sO91JJFFawgB767vZW9/N49vrWVWazo0zsllVmo7bqb9bIhOB5XIlbjhXwrnXyxhjoL0VGs5gGup7g2LTWG+PMG5tvvDBY1E7WG6oG1DDeEA946wce4RxXn5vcGwllsmdAhnZWA69n4jIpVEoLCIiIpLi2lqiHNoXpL52YBjscMKi5WmUz/Loxjkil8iyLBZN9bNoqp+ucIz3TnXwZlU7e+u7e8OdSNzw3qlO3jvVSbrbwZryTG6ckcWiqX4c+rsmMiFZlgXZuZCde94N7wBMJGyXpWg6awfFTfXQeLYvNO5ou/iTtLfaj6rDve8nA0Jjpwty8uzQODcRFOf2zCeWs3IUHIsIoFBYREREJGV1tMc4tC/ImVORgSssmDbDw9wKL/50XeIuMlzpHie3XJXDLVfl0NQdYUt1O29WtXO8X3mJrkic14618dqxNvLSXKwqTWdlSQZLivz43fr7JzJZWG4PFJVCUel5o4wBTChkB8VNZzFNDdDcAE0NmObEfGvThesZgz3auKdERf9j99/G6YTsPDs8zpmClZOYz87Dyp3SO0+aXz8Ii0xyCoVFREREUkxXZ4zD+4KcPhk555silJa7mVvhIyNLYZTIaJrid/OJBVP4xIIpnGoL8WZVO29Vt1Pf2fejTHMgym+PtvHbo224HLCwwM+KknRWlmYwLUsj9kUmM8vrhZJyKCkfPDSOxewSFM2JoLjprD3f1AAtjdDSBN2dF3+iWMwOmZsb7OP2f47+23l9veGxlZPXOwqa7FysrFx7XXYOpGfqvUlkglIoLCIiIpIiurviHDkQ5FRVGHNOGFxU6mbeIh9ZOQqDRcbatGwvn1xWwJ8uzedgY4A3q9p5+2QHHaFY7zbROHxQ380H9d08ubuBAr+LlaUZrCxJ56bsXNI0ilgkpVhOp33DuSkFg4bGACYU7A2ITU9Q3NzYN9/aCJ0dl/aEoSCcrYWztef+fnx+yYrsHDskzsrB6gmLs3KwsuwpmYmpL+1yXrKIjDHLmHO/Ekx+tbW1ye7CuMnPzwegsbExyT2RyUjnl4wlnV8y1lLpHOvuinH8UIjqY+HzrjwtLHYxb5GPnDyNFRhNqXR+yeiIxQ0HGwPsqu1iZ20nVf1KTJzL7bRYVprN4nwPi6f6mZ7jxenQSD0ZHXr/mtxMKARtTdDajGlttkcftyaW2/oth8Oj/+RuD46cPBzZuUT9GXZonJmdCI6zsTKz7eXMLPumeS59NpHLk4rvXyUlJcPeV3/DRERERCahcChO7akINdVhmhtj562fUuhi/iIfeQX6OChyJXA6LCoK/VQU+vmzZQU0dUcSAXEXe850EYj2/aITiRm2n2xl+0l72edyMC/fx4KCNBYU+Jmb71M9YhEZlOX1QmEJFJYMPeLYGAh0JQLiRHjc1gLtLdDWgmlr6VsOdF/6k0fCxBvqiDfU2c9z7vOeu70/HTISIXFPaJyRBVnZdmickWkvZ2RBRiZ401TKQuQy6FuAiIiIyCQRixnqayOcrg5z9kwUM8j9aHKnOJm32Ed+oUtfnESuYFP8bm6dncOts3OIxg0HGwLsrO1kZ20X1a0DRxEHo3Eq67qprOsGmnBYMD3H2xsSLyhIoyDdnZwXIiITjmVZ4M+wH0PUOO5hQkFob4W2ZmhrtUcbt7VARxumvdVe194KHa2XP/q4u8t+nLWv9r5oiOxyQXoiIE4ExVZGlt2WmQnpWVjpGZCeCekZdrs/3S7NIZKCFAqLiIiITGAmbmhqiHK6OsKZ02GikfO3sSwoKHIxY7aXwmKFwSITjcthsWiqn0VT/Xx6OcS8mWytbuHtI/UcbAjQFIgO2D5uoKolRFVLiM2HWwGY4ncxPz+Nufk+Zub6mJnjJcunr4MiMjKW1wcFRfYDLjz6OBQg1+kg3tZC28kTmI62fqFxG6az3Z7vbLdrHw/26/aFRKOJcLq573nP7cdg+6WlJ0LiTPvGeT3z/gxITwd/BpY/w96mJyxPT9fIZJnw9ClAREREZIIxxtDeGqemOkzNyTDBwOC3iMjJc1I23UNJuRuvzzHOvRSRsTI108vHFhWxtsiFMYaGrigfNnTzYUOAg40BqltDxM95W2jqjvLOyQ7eOdl3k6m8NBczc73MyPEyI9fHzFwvJZke1ScWkVFnWRb4/Ljy86G4DCu/+MIjkOMx6OqCzjZob4PONjtE7miHjjbobLdD5J4AubMdIsOsgxzosh+N9fZzD9afwfZzOu1A2Z/eGxZb/sRymj+xLgPS/P3a7WX86eD1KVSWpFIoLCIiIjIBdHfFaDobo6khSlNDlO7OwUfP+DMclE13UzrdQ0amLocUmewsy6Iww01hRjY3zswGoDsS41BjsDcoPtwYIBg9P9JoDkRpDkTZWdvV2+ZxWkzPsYPimbk+pud4KcnykOtzKrwQkXFjOZyJWsJZUDzNbrvIPiYUgq6eoLgd0xMW90y7OjHdHdDVCV0ddnugC8zgP65fVCzW+1y9fRiqb4M1Ohzg8ycCZH/vvHXOck/AbKWl9bV50xLbpIHHq/dnGRaFwiIiIiJXGGMMXZ1xms5GaU6EwIHuob+weLwWJdPclM3wkJOn4EYk1fndTpYXp7O8OB2AWNxQ3Rriw4YAVS1BTrSGqG4NEY6d/74SjhmONAU50hQE2nrbfS4HJZluijM9lGZ5BkyzvPoBSkSSz/J6wVsAeQX28iXsY+Ix+2Z5XYmwuLMD09XRtxzoSoTJndDdadc47krMh0MXf4ILiccTx+wc2Keh+jrUcSyHHQ6npQ0Mi31+LF8aeH32cs/Ul2aX/fAlth+wTRp4PPosmSIUCouIiIgkmTGGzvZ47yjgprNRQsELj1pxOqGo1B4RXFDkwqHLvUVkCE6Hxaw8H7PyfL1tsbjhTEeY4y0hTiSC4qqWEM3n1CfuEYzGOd4S4njL+SFIpsdBcaaHkiwPJZkeCtLd5PtdvVO3U+VrROTKZDmcvbWEe9sucV8TjdiBbldXb2BsAomb4/WUpEjcLM8EuvuWe6YjDZV7OxLve75zVw21y4WOZ1ng8YHPBx6vHRR7+6bWOct4ffb2Xi+WZ+Ay5y67FThfSRQKi4iIiIwTYwyhoKGjPUZHW5zO9hgdbTE62uNEwhcJgV2Ql+9iSoH9yM5z4nTqQ7WIDI/TYVGW7aUs28sNM7J629uCUapaQpxoDVLVEqKmPUxte5iuyNA3fOoIx+loCnK4KTjo+lyfk/x0N/l+NwXprgGhcYHfTZbPiUMhgYhMMJbLDVm59qOn7TL2N9EoBLvtkco9j2C3HSwHAomg126jO9EeCkAwkGhPzA+3lvKQHbNvCkgoMPjqC+16sWNblh0Un/fw2FN3T7Dcr93df95+WB47YO6/Hx4PMYc9YtxEIuDSzZUvRqGwiIiIyCjrDX8TgW9HW8wOgC8h/O3hcidC4MJECJzr1GhgERlz2T4Xy4pdLEuUnoDEzS1DMWrbw9R2hKntiNjTxPJgZSj6awnGaAnGEiUpzuew7OfN9TnJ8bnISXOR43OSm+ayl/vNZ3gc+pIvIpOC5XJBRpb96N9+mccx0eggYXE3JpAIdkNBu61nm2AQE7KnvW092wQDEI2M3os8r7PGfq7Q4P8ewCUEyxfYprHfvOPx58FSeaMLGbVQuKmpiY0bN1JZWUlHRwe5ubmsXr2aO+64g4yMjHE/joiIiMhYicUMwe44ge44gUC/+e44wUCcQJchErm8m5a4PVZiFLCTKYUusrKdWAqBReQKYFkW2T4X2T4XCwr9A9bFjaE5EO0NiOs6IjR2R2joitLQHaElECV+kbfDuIGWQJSWQBS48OXULgdkeV1kep1kehz21Oskw2NPs/rN29vYy25dWSEik5TlcoFrYAkMuPxwuYeJxyAUSgTKiWkwCGE7zDU98z2hcjhkbxcOYsKhROgbstvDwb71oeDYBs79OV12aRC5oFEJhevq6nj44Ydpa2tj1apVlJaWcvToUTZv3syePXt49NFHyczMHLfjiIiIiFyuWNQQDhvCoXhiaoiE7LZQsCfwNQS644RDw7xLNWAPCnGSme0kM8tBZraTjCwnaX5Lo99EZMJxWBb5frs0xJKi9PPWx+J2aNzQFbEf3VEau/qC48buCJ3hoUtTnCsah+ZAdMjax0PxOC38bkfi4cTv6ZtPdztIcztI9yTWuR34XA7SXA68Lgc+t9U373Lg0g92IjKJWQ6nfbO6NP/g60dwbBOPQTicCIwHf5je+XBfoBwJ2WUywmGIhPu26ddGOIQjGsGEQxinAuFLMSqh8M9//nPa2tq49957Wb9+fW/7U089xUsvvcSzzz7L/fffP27HERERkdRhjCEeg2jU2I+IIRolMTXE+rcl5iNhAyZEMBijuztCJGSIxUa3XwPC32wHmYl5X5rCXxFJHU6HZdcOTncPuU0kFqc1GKM1aI8Wbg3GaA1E7eV+863BGN0XqG18IeGYIRyL0RqMASMbqeZyWKS5rN6Q2Ody4HVZeJ0OPC4Lj9OBx2nhdSbmE21ep72Px2nhdlq4HXa722HhSiy7+08T69xOC6eF/u0QkQnPcjjBl2Y/htpmBMfPz88HoLGx8SJbCoxCKFxfX09lZSUFBQXcdtttA9bdddddvPbaa2zZsoVPfepT+Hy+IY4yescRERGRy2eMAfs/jLEfGLu9d7nfOhM3xHvnE9vF6WtLLBsD8TjE44n1A+ZNYjnRZiAeS7TH7BINscQ0HrdH8sZ72vptE4/19e/yDD8UsCzwplmkpTlI8zvw+e1pmt9u8/kdeH0Kf0VELoXb6aAg3XHB4LhHKBqnPRSjIxSjIxyjMxSzlxPzHeHEulC8d74zHLtoCYvLEY0bOsKGjssY4TxSFnYYbT/seWfv8rmPvvVOhx0o29O+ZZfDwuGwcA1YZ4/8zswI4LQsgoFuHJbd5khs57DAmVh2WBYOR996B4mpw8KC3m2tfscYMI89byXanZa9X8821rnbYAfjjsQ2dpt9LBLPR7/l/vuIiMj5RhwK79u3D4ClS5ficDgGrEtLS2P+/PlUVlZy5MgRFi9ePObHkT411WF2vlsDQDg8TnVbJKV4PHbNN51fMixDfDnraXa77fMrEhnm+XVOSnhJ3wXNgMlFdxoqiLy0djPk85nzNxm4rqc9ccD+x+0f3vZODRhMv/36TfvNpzrLAR6PhcdrJaYO3D3LXssOfROBr89nqd6viEgSeF0OClyXFiD3MMYQihm6I3G6wzG6InECkThdkRjd4bjdHrHbe5aD0TihaJxA79QQitrtoxkwX/JrACJxQ2RcnnzyjbDrCZv7pnbQ3H+d3dq3Hf1CZYuBbfQuD1zXe7x+x6T/MXv27bftUNucv11PDwc+V//tzn3N5x6nf+tQzzWUi29vXWCpb3u3qxaA6GXUlh2qb5f9SewyfyAYzie9y+/TMJ7kyjn8sIxln9yeOgDi0QiP3DRtDJ9pchhxKFxba/+FLi4uHnR9UVERlZWVnDlz5oJh7mgdB+CBBx4YtP073/kO0DecfLKrOdFM7anmZHdDJrXLq+Umcnl0fsmlczjA7Xbg9jhwJaYejwO328LtduDyOHrXu932On+GG5/PictNYqqRvTJ6XC77Y3aqfO6U8aXzK3mMMYRjhkAkRjASozsSIxCJE4rGCEbsADkcs6ehaJxgJGbP92vreURi9iMcM/Y02jc/oD2WnCB6Mum5Eqp3YdBfw/WHPD4Cye6ATGrdgH01hP6NvLgRh8Ld3fYfuN8/eAHqnvaurq5xOY6IiIgMX+/lmIlLPy1H32WdVs/lm4nLRy2HfdmoZZ2zPGB94rJRp33JqsNptzmd9vpz2xyJfZwuC5fLgdNpzztdFk5nos1l11602xPbDOOu8j2hSjSqHyBEROTSWJZl1w92OSDt0kcrj1Q0bojF40Rj9mjhSCxOLG6IxAzRuCGSWBdNrLO3N4NM48TiJKaGmDFEY33TuAFjWfa2sZhdrsnQu629bE971sVN/2liPm4GtMcSbYae8lM96+z1Pct9U4gl2g30rrPD3b596Xc8Q89z9LsSSkREhjQqN5q7EJP4OW6kI28u5zg9I4KHkioFp3PyY/ze7SUAtLW3Jbk3MhllZ2UDOr8miity/OMFLgXLyrbPr/a2EZxfl3lZ22CN1gXWDWgaar+hXuM5G5z7z1vvcv/LA/tdztjXdv7+PSFu/3YrcR3jucfpvbzRSmbNvUSNi0vcMhqzH4RH9qy6EYWMJZ1fMpZ0fomF/WXedW7DBfewAMeFNgIm1/nVFyTbyz1Bcv/g2PSU2erX1nufhURjvF9bYrY3oxgwCvmc4w04Zr/l3v361QcbMJC530xv+xCl0QYrWzb48w39WevcY1zsU9n521/4AP0Xs7OzMUBb/8/4F3jCoVZd6PUMuv04/EpwuU8xHn260oz1S87KygKgo719UryHXYqSkpJh7zviULhnBG/PSN9zBQKBAduN9XGkT3qGk/x8+8/L2zj4n6vISOj8krHUc355fDq/REREROTyWf1+EAdw0m9BkiI/3x740ejVfWlk9OXn5wLQ2BhLck8mhov/THgRPYn0mTNnBl1fV2cXeR6qVvBoH0dEREREREREREREhjbiULiiogKAyspK4vH4gHWBQICDBw/i8XiYM2fOuBxHRERERERERERERIY24lC4qKiIpUuX0tDQwCuvvDJg3aZNmwiFQtxwww34fD7AvplLTU1N78jf4R5HRERERERERERERC7fqNxo7r777uPhhx/miSeeYO/evZSVlXHkyBH2799PcXExd999d++2zc3NfPnLX6agoIDHHnts2McRERERERERERERkcs3KqFwUVER3/72t9m0aRN79uxh9+7d5Obmsn79eu68804yMjLG9TgiIiIiIiIiIiIiMrhRCYUB8vPz+dznPnfR7QoLC9m0adOIjyMiIiIiIiIiIiIil2/ENYVFREREREREREREZOJQKCwiIiIiIiIiIiKSQhQKi4iIiIiIiIiIiKQQhcIiIiIiIiIiIiIiKUShsIiIiIiIiIiIiEgKsYwxJtmdEBEREREREREREZHxoZHCIiIiIiIiIiIiIilEofAk98ADD/DAAw8kuxsySen8krGk80vGms4xGUs6v2Qs6fySsaTzS8aSzi8ZSzq/Lo9CYREREREREREREZEUolBYREREREREREREJIUoFBYRERERERERERFJIQqFRURERERERERERFKIQmERERERERERERGRFGIZY0yyOyEiIiIiIiIiIiIi40MjhUVERERERERERERSiEJhERERERERERERkRSiUFhEREREREREREQkhSgUFhEREREREREREUkhCoVFREREREREREREUohCYREREREREREREZEUolBYREREREREREREJIUoFBYRERERERERERFJIa5kd0CS68c//jGvv/46AD/4wQ8oKipKco9kImtsbOSFF17g+PHjNDQ00NXVRWZmJlOnTuWmm27i+uuvx+XS244Mz5kzZ9i6dSuVlZXU1dXR2tpKRkYGc+bMYcOGDSxatCjZXZQJLBqN8tvf/pYTJ05QVVXF6dOnicVifPazn+Xmm29OdvdkAmlqamLjxo1UVlbS0dFBbm4uq1ev5o477iAjIyPZ3ZMJ7P333+fAgQOcOHGC6upqAoEA1113HV/84heT3TWZ4Do6Oti2bRu7du3i5MmTNDc343K5KC8v56abbmLdunU4HBpPJsP39NNPc/z4cc6cOUN7ezsej4eCggJWr17N7//+75OZmZnsLsok89Zbb/GjH/0IQJ/nL0DpTArbsWMHr7/+Oj6fj2AwmOzuyCRQX1/Pli1bmDNnDqtXryYjI4POzk52797Nj3/8Y9566y0eeughnE5nsrsqE9DGjRt59913KSsrY/ny5WRkZFBbW8uOHTvYsWMHn/nMZ9iwYUOyuykTVCgU4sknnwQgOzubnJwcmpqaktspmXDq6up4+OGHaWtrY9WqVZSWlnL06FE2b97Mnj17ePTRR/XFV4btl7/8JdXV1fh8PqZMmUJNTU2yuySTxHvvvcfPfvYzcnNzqaioID8/n9bWVrZt28ZPfvITdu/ezVe+8hUsy0p2V2WCeumll5g1axaLFy8mOzubUCjEkSNH+I//+A9ee+01vvWtb5Gfn5/sbsok0djYyL/9278p67oECoVTVHt7O48//jhr166ltbWVAwcOJLtLMgnMmzePJ5544ryRBNFolG9961vs37+frVu3snbt2iT1UCayZcuW8fGPf5yZM2cOaD9w4ACPPvooTz/9NGvWrCE3NzdJPZSJzOv18uCDDzJjxgxyc3PZtGkTzz33XLK7JRPMz3/+c9ra2rj33ntZv359b/tTTz3FSy+9xLPPPsv999+fxB7KRPbpT3+aKVOmUFRUxIEDB/jmN7+Z7C7JJFFSUsJXv/pVVqxYMeBz/D333MODDz7I1q1b2bp1K9dee20SeykT2VNPPYXH4zmv/dlnn+X555/nhRde4M///M+T0DOZbIwx/PjHPyYzM5Orr76aX//618nu0hVN14CkqMcffxyA++67L8k9kcnE5XINemmZy+Vi9erVgD2KSmQ41q1bd14gDLBw4UIqKiqIRqMcOnQoCT2TycDlcrF8+XL9qCDDVl9fT2VlJQUFBdx2220D1t111114vV62bNmiESsybIsWLaK4uFijNWXULVq0iFWrVp33OT4nJ4dbb70VQIOIZEQGC4QB1qxZA9hl4kRGw29+8xv27dvHX/3VX+H1epPdnSueQuEU9MYbb7B9+3b+4i/+QpcwyriIx+Ps3r0bgPLy8iT3RiajnpIkKk0iIsmyb98+AJYuXXpesJKWlsb8+fN7L5cVEZkoeu4HoprCMhZ27twJwPTp05PcE5kMTp8+zTPPPMP69etZuHBhsrszIah8RIppaGjgiSee4Prrr+fqq69Odndkkmpvb+fll1/unf/ggw+oq6vjuuuuY+XKlUnunUw2DQ0N7Nu3D6/Xy4IFC5LdHRFJUbW1tQAUFxcPur6oqIjKykrOnDnD4sWLx7NrIiLDEovFePPNNwG7jJfISP3qV78iGAzS3d3N8ePHOXjwINOnT+cTn/hEsrsmE1wsFuNHP/oR+fn53HPPPcnuzoShUDiFxONxHnvsMXw+H/fee2+yuyOTWEdHx4BanJZlcfvtt3P33XfrkkcZVZFIhB/84AdEIhE++clPkpGRkewuiUiK6u7uBsDv9w+6vqe9q6tr3PokIjISzzzzDKdOnWL58uUKhWVU/PrXv6atra13edmyZXzuc58jKysrib2SyeC5556jqqqKRx99dMhyJXI+hcITzOc//3kaGhouefvrrruOL37xi4B9x88DBw7wt3/7twpOZEgjOcd6lJaWsmnTJuLxOM3NzWzbto2NGzdy8OBBHnzwQZ1/KWw0zq8e8XicH/7whxw6dIi1a9dy++23j1Y3ZYIazfNLZLQZYwD046iITAibN2/mxRdfpLS0lC984QvJ7o5MEj/96U8BaG1t5fDhwzzzzDM88MADPPDAA8yaNSvJvZOJ6ujRozz//PPcfvvtzJ07N9ndmVAUCk8wU6dOxe12X/L2eXl5gF24/d///d9Zt24dK1asGKvuySQw3HNsMA6Hg/z8fDZs2EB2djbf//732bhxo25wmMJG6/yKx+P84Ac/4P3332fNmjV84QtfUNAio/r+JXK5ekYC94wYPlcgEBiwnYjIlerll1/mySefpKysjEceeUQDOmTU5eTkcPXVVzNz5ky+9KUv8dhjj/G9730v2d2SCSgWi/HDH/6Q4uJi/viP/zjZ3ZlwFApPMI888siw9jt16hSRSIQ33niDN954Y9BtekZL/c3f/I3qDaew4Z5jF7N8+XJAdy5OdaNxfsViMb7//e/z/vvvc9111/HXf/3XuvmJAGP3/iVyKUpKSoCh76BeV1cHDF1zWETkSvDSSy/x1FNPMW3aNB555BGys7OT3SWZxAoKCigrK+PEiRO0t7erjIRctmAw2PvZ60//9E8H3ebxxx/n8ccfZ8OGDXzmM58Zx95d+RQKp4jCwkI++tGPDrpu165dtLa2cu211+L3+yksLBzn3kkqaG5uBnTnYhmZaDTKP/3TP7Fjxw5uuOEGPve5z+mcEpErQkVFBQCVlZXE4/EB702BQICDBw/i8XiYM2dOsrooInJBL7zwAr/4xS+YMWMGDz30kAI6GRctLS2AvifK8Ljd7iGzrqqqKqqqqpg/fz4lJSUqLTEIhcIpYsaMGfzlX/7loOu+8Y1v0Nrayj333ENRUdE490wmkyNHjlBeXo7X6x3QHgwGeeKJJwBUvkSGLRKJ8N3vfpfdu3fz0Y9+lPvvv18fHkXkilFUVMTSpUuprKzklVdeYf369b3rNm3aRCgU4pZbbsHn8yWxlyIig3vuuefYtGkTs2bN4qGHHlLJCBk1NTU1pKenk5OTM6A9Ho+zceNG2tramDdvns45GRaPxzNk1rVp0yaqqqq48cYbufnmm8e5ZxODQmERGTXPP/88Bw4cYOHCheTn5+PxeGhqamLPnj10dXUxb948/uiP/ijZ3ZQJ6qc//Sm7d+8mMzOTvLw8nnvuufO2qaio6B2tJ3K5XnjhBWpqagA4ceIEAG+88QYHDx4EYP78+fpAKRd033338fDDD/PEE0+wd+9eysrKOHLkCPv376e4uJi777472V2UCWzbtm1s374dsG/SBPYP8o899hgAmZmZfOpTn0pW92QCe+ONN9i0aRMOh4P58+ezefPm87YpLCxk3bp14985mfD27NnD008/zYIFC5g6dSqZmZm0trby4YcfUl9fT05ODp/97GeT3U2RlKRQWERGTc8IqGPHjrF//37C4TDp6enMmjWLNWvWcNNNN+F0OpPdTZmgzp49C0BHR8eggXAPhcIyXHv27Dmv7vmhQ4c4dOhQ77JCYbmQoqIivv3tb7Np0yb27NnD7t27yc3NZf369dx5550aBSUjcuLECd58880BbfX19dTX1wN2bU6FwjIcPZ+x4vH4oIEwwMKFCxUKy7AsXryYm2++mUOHDlFdXU1XVxder5eSkhKuv/56NmzYoH8fRZLEMsaYZHdCRERERERERERERMaHijGKiIiIiIiIiIiIpBCFwiIiIiIiIiIiIiIpRKGwiIiIiIiIiIiISApRKCwiIiIiIiIiIiKSQhQKi4iIiIiIiIiIiKQQhcIiIiIiIiIiIiIiKUShsIiIiIiIiIiIiEgKUSgsIiIiIiIiIiIikkIUCouIiIiIiIiIiIikEIXCIiIiIiIiIiIiIilEobCIiIiIiIiIiIhIClEoLCIiIiIiIiIiIpJCFAqLiIiIiIiIiIiIpBCFwiIiIiIiIiIiIiIpRKGwiIiIiIiIiIiISApRKCwiIiIiIiIiIiKSQv4vChx5QPJBq80AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 193, + "width": 706 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12, 3)\n", + "\n", + "def logistic(x, beta):\n", + " return 1.0 / (1.0 + np.exp(beta * x))\n", + "\n", + "x = np.linspace(-4, 4, 100)\n", + "plt.plot(x, logistic(x, 1), label=r\"$\\beta = 1$\")\n", + "plt.plot(x, logistic(x, 3), label=r\"$\\beta = 3$\")\n", + "plt.plot(x, logistic(x, -5), label=r\"$\\beta = -5$\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "But something is missing. In the plot of the logistic function, the probability changes only near zero, but in our data above the probability changes around 65 to 70. We need to add a *bias* term to our logistic function:\n", + "\n", + "$$p(t) = \\frac{1}{ 1 + e^{ \\;\\beta t + \\alpha } } $$\n", + "\n", + "Some plots are below, with differing $\\alpha$." + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 193, + "width": 706 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "def logistic(x, beta, alpha=0):\n", + " return 1.0 / (1.0 + np.exp(np.dot(beta, x) + alpha))\n", + "\n", + "x = np.linspace(-4, 4, 100)\n", + "\n", + "plt.plot(x, logistic(x, 1), label=r\"$\\beta = 1$\", ls=\"--\", lw=1)\n", + "plt.plot(x, logistic(x, 3), label=r\"$\\beta = 3$\", ls=\"--\", lw=1)\n", + "plt.plot(x, logistic(x, -5), label=r\"$\\beta = -5$\", ls=\"--\", lw=1)\n", + "\n", + "plt.plot(x, logistic(x, 1, 1), label=r\"$\\beta = 1, \\alpha = 1$\",\n", + " color=\"#348ABD\")\n", + "plt.plot(x, logistic(x, 3, -2), label=r\"$\\beta = 3, \\alpha = -2$\",\n", + " color=\"#A60628\")\n", + "plt.plot(x, logistic(x, -5, 7), label=r\"$\\beta = -5, \\alpha = 7$\",\n", + " color=\"#7A68A6\")\n", + "\n", + "plt.legend(loc=\"lower left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adding a constant term $\\alpha$ amounts to shifting the curve left or right (hence why it is called a *bias*).\n", + "\n", + "Let's start modeling this in PyMC. The $\\beta, \\alpha$ parameters have no reason to be positive, bounded or relatively large, so they are best modeled by a *Normal random variable*, introduced next." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Normal distributions\n", + "\n", + "A Normal random variable, denoted $X \\sim N(\\mu, 1/\\tau)$, has a distribution with two parameters: the mean, $\\mu$, and the *precision*, $\\tau$. Those familiar with the Normal distribution already have probably seen $\\sigma^2$ instead of $\\tau^{-1}$. They are in fact reciprocals of each other. The change was motivated by simpler mathematical analysis and is an artifact of older Bayesian methods. Just remember: the smaller $\\tau$, the larger the spread of the distribution (i.e. we are more uncertain); the larger $\\tau$, the tighter the distribution (i.e. we are more certain). Regardless, $\\tau$ is always positive. \n", + "\n", + "The probability density function of a $N( \\mu, 1/\\tau)$ random variable is:\n", + "\n", + "$$ f(x | \\mu, \\tau) = \\sqrt{\\frac{\\tau}{2\\pi}} \\exp\\left( -\\frac{\\tau}{2} (x-\\mu)^2 \\right) $$\n", + "\n", + "We plot some different density functions below. " + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "image/png": { + "height": 226, + "width": 724 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "import scipy.stats as stats\n", + "\n", + "nor = stats.norm\n", + "x = np.linspace(-8, 7, 150)\n", + "mu = (-2, 0, 3)\n", + "tau = (.7, 1, 2.8)\n", + "colors = [\"#348ABD\", \"#A60628\", \"#7A68A6\"]\n", + "parameters = zip(mu, tau, colors)\n", + "\n", + "for _mu, _tau, _color in parameters:\n", + " plt.plot(x, nor.pdf(x, _mu, scale=1./_tau),\n", + " label=\"$\\mu = %d,\\;\\\\tau = %.1f$\" % (_mu, _tau), color=_color)\n", + " plt.fill_between(x, nor.pdf(x, _mu, scale=1./_tau), color=_color,\n", + " alpha=.33)\n", + "\n", + "plt.legend(loc=\"upper right\")\n", + "plt.xlabel(\"$x$\")\n", + "plt.ylabel(\"density function at $x$\")\n", + "plt.title(\"Probability distribution of three different Normal random \\\n", + "variables\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A Normal random variable can be take on any real number, but the variable is very likely to be relatively close to $\\mu$. In fact, the expected value of a Normal is equal to its $\\mu$ parameter:\n", + "\n", + "$$ E[ X | \\mu, \\tau] = \\mu$$\n", + "\n", + "and its variance is equal to the inverse of $\\tau$:\n", + "\n", + "$$Var( X | \\mu, \\tau ) = \\frac{1}{\\tau}$$\n", + "\n", + "\n", + "\n", + "Below we continue our modeling of the Challenger space craft:" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "\n", + "temperature = challenger_data[:, 0]\n", + "D = challenger_data[:, 1] # defect or not?\n", + "\n", + "#notice the`value` here. We explain why below.\n", + "with pm.Model() as model:\n", + " beta = pm.Normal(\"beta\", mu=0, tau=0.001, initval=0)\n", + " alpha = pm.Normal(\"alpha\", mu=0, tau=0.001, initval=0)\n", + " p = pm.Deterministic(\"p\", 1.0/(1. + at.exp(beta*temperature + alpha)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have our probabilities, but how do we connect them to our observed data? A *Bernoulli* random variable with parameter $p$, denoted $\\text{Ber}(p)$, is a random variable that takes value 1 with probability $p$, and 0 else. Thus, our model can look like:\n", + "\n", + "$$ \\text{Defect Incident, $D_i$} \\sim \\text{Ber}( \\;p(t_i)\\; ), \\;\\; i=1..N$$\n", + "\n", + "where $p(t)$ is our logistic function and $t_i$ are the temperatures we have observations about. Notice in the above code we had to set the values of `beta` and `alpha` to 0. The reason for this is that if `beta` and `alpha` are very large, they make `p` equal to 1 or 0. Unfortunately, `pm.Bernoulli` does not like probabilities of exactly 0 or 1, though they are mathematically well-defined probabilities. So by setting the coefficient values to `0`, we set the variable `p` to be a reasonable starting value. This has no effect on our results, nor does it mean we are including any additional information in our prior. It is simply a computational caveat in PyMC. " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [26/26 00:00<00:00 logp = -19.024, ||grad|| = 9.9071]\n", + "
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\n", + " \n", + " 100.00% [484000/484000 00:32<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 120_000 draw iterations (4_000 + 480_000 draws total) took 32 seconds.\n" + ] + } + ], + "source": [ + "# connect the probabilities in `p` with our observations through a\n", + "# Bernoulli random variable.\n", + "with model:\n", + " observed = pm.Bernoulli(\"bernoulli_obs\", p, observed=D)\n", + " \n", + " # Mysterious code to be explained in Chapter 3\n", + " start = pm.find_MAP()\n", + " step = pm.Metropolis()\n", + " trace = pm.sample(120000, step=step, initvals=start)\n", + " #burned_trace = trace[100000::2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We have trained our model on the observed data, now we can sample values from the posterior. Let's look at the posterior distributions for $\\alpha$ and $\\beta$:" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 375, + "width": 741 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "alpha_samples = np.concatenate(trace.posterior.alpha.data[:,100000::2])[:, None] # best to make them 1d\n", + "beta_samples = np.concatenate(trace.posterior.beta.data[:,100000::2])[:, None]\n", + "\n", + "figsize(12.5, 6)\n", + "\n", + "#histogram of the samples:\n", + "plt.subplot(211)\n", + "plt.title(r\"Posterior distributions of the variables $\\alpha, \\beta$\")\n", + "plt.hist(beta_samples, histtype='stepfilled', bins=35, alpha=0.85,\n", + " label=r\"posterior of $\\beta$\", color=\"#7A68A6\", density=True)\n", + "plt.legend()\n", + "\n", + "plt.subplot(212)\n", + "plt.hist(alpha_samples, histtype='stepfilled', bins=35, alpha=0.85,\n", + " label=r\"posterior of $\\alpha$\", color=\"#A60628\", density=True)\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 404, + "width": 719 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "#Here is the ArviZ version \n", + "figure,ax = plt.subplots(2,1)\n", + "\n", + "\n", + "az.plot_posterior(trace, var_names=['beta'], kind='hist',bins=25,\n", + " figsize=(12.5,6),color=\"#7A68A6\",ax=ax[0])\n", + "az.plot_posterior(trace, var_names=['alpha'], kind='hist',bins=25,\n", + " figsize=(12.5,6),color=\"#A60628\",ax=ax[1])\n", + "plt.suptitle(r\"Posterior distributions of the variables $\\alpha, \\beta$\",fontsize=20)\n", + "ax[0].set_title(r\"posterior of $\\beta$\")\n", + "ax[1].set_title(r\"posterior of $\\alpha$\")\n", + "plt.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "All samples of $\\beta$ are greater than 0. If instead the posterior was centered around 0, we may suspect that $\\beta = 0$, implying that temperature has no effect on the probability of defect. \n", + "\n", + "Similarly, all $\\alpha$ posterior values are negative and far away from 0, implying that it is correct to believe that $\\alpha$ is significantly less than 0. \n", + "\n", + "Regarding the spread of the data, we are very uncertain about what the true parameters might be (though considering the low sample size and the large overlap of defects-to-nondefects this behaviour is perhaps expected). \n", + "\n", + "Next, let's look at the *expected probability* for a specific value of the temperature. That is, we average over all samples from the posterior to get a likely value for $p(t_i)$." + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "t = np.linspace(temperature.min() - 5, temperature.max()+5, 50)[:, None]\n", + "p_t = logistic(t.T, beta_samples, alpha_samples)\n", + "\n", + "mean_prob_t = p_t.mean(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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tdqSnp+OCCy7AKaecIrfYKy0tRX5+Pl5++WWUlpbi5ZdfRv/+/XHfffd1udzhEI7tJVQFBQWYMWOG3GLs8ssvx3XXXYf09HQUFRVh/vz5+Pzzz3HkyBFMmzYNmzdvllugpaenY9u2bQBc29NXX30FAPIwN8+WsJ1RUlKCq666Cg6HA4888ghmzpwJrVaLjRs34tlnn0VhYSE+//xz3HbbbZg3b17QZXW0LxNC4NJLL5VbOObm5uLee+9FXl4eLBYLli1bhn/84x9obGzEAw88ALVajT/84Q8B19fS0oJLL70U1dXVuOeee3DBBRcgJiYGO3bswAsvvIBt27Zh1apVuPTSS/H99997HZcAV53VarU466yzcMYZZ2DEiBGIj49HY2MjDh48iPnz52PFihXYvn07Lr74Yqxbty5oao/ulqcnbdu2DSUlJZg1axYA4LbbbsPtt9/uNY1Go5H/zp07F8899xzWr1+PrVu3YvTo0X6Xa7FY8J///AcAMHHiROTl5XW6bFVVVZg6daqck/3MM8/ErbfeiqysLFRWVmLhwoV49913UVtbi3POOQe//PILJk6c6PXZAATdV2dkZHSqTDt37sSFF16I1tZW+Um8K6+8EomJidi3bx9eeeUVfP311ygvL+9wWY899pjcCj8rK0s+/0hJSUFpaSk+++wzzJ8/Hxs3bsTs2bOxZs0aGAwGAMBTTz2Fe++9N+hv557W7aabbpJb9ufl5eHWW29FTk4OEhISUFhYiP/85z/44osvsGTJElx66aVYsmQJlEql1zLq6upw+umno6CgAAAwcuRI3HrrrRg7diwMBgMqKiqwbt06fPHFF17zvfvuu2hubsasWbNQUlKC8ePH+91vep6b9pQrrrgCBQUFuP7663H11VcjMTER+/fvxyuvvIKVK1di9+7dmDVrFjZu3AidTtfj5fHnrbfekp9gGjZsGH73u99h5MiRiI+PR3NzMwoKCvDLL7/g66+/7va6mpqacPHFF6O+vh5/+tOfcPbZZ8NkMmH//v1ISkqSpwtH/bHb7UhISMD555+PyZMnIzs7G0ajERUVFdi9ezdeeeUV7Nu3D59++imSk5Px6quvdvvzteeui4EIIXDjjTdiw4YNAODTWt5utyM6OhrnnHMOpk+fjiFDhsBkMqGmpgb79+/Hv//9b2zevBk///wzrrvuOixevNjv+sO5LfTEMfTcc89FUVGRXCfi4uKwf/9+PPPMM9i0aRO2bt2Ke++91+f439VrQiI6jvRqyJ+I6BgLtaX7p59+Kk8XHR0tt86sq6sTsbGxAoCIiooSq1ev9pnXZrOJ8847T57/6aef9hr/448/+m0V409VVZXPsM60DLLb7WL48OECgMjNzRWHDx/2O115ebnckik3N9enZXn7VvZXXHGFsNvtAdfbUesmz/FDhgwRFRUVPtOUlJSIQYMGydOtWrXKZxrPlk2SJImvvvoq6PcRir///e8CgFAoFOLDDz8MON0f/vCHoC2nCgoK5NZ9GRkZ8m9ptVrFxIkT5XWsWLHC7/LbtxC/7rrr/LZs/ve//y1PM2PGDJ/x9fX1cmvL0047LWBLm71798rT+WtN8/3338vryc7ODtpitaSkRFitVq9hobSYDneZ582bJ6/zrLPO8imTEEIsXrzYqyVaV1q6CyHEBx98ELTOu3344YfydO+8847P+P379wfdtlpaWsS0adME4Hq6pLGx0e907nX0dEv3cG0vofBs8fbSSy/5ncZdHvdv7o/nfqO73C0I3ceKzZs3+0xTU1Mj74cBiJ9//jlomTral3nuG04//XTR3NzsM82OHTtEfHy8ACA0Go3f387z+1QqlWLJkiU+05jNZrm+ARDvv/++zzS1tbWivLw8YHmFEOL1118PuoxwlqcnW7qHMt7T/v37hSRJAoC48847A07nuV94++23gy4zEM869Mc//tHvNJ5PWA0dOtTvMaUz++qOTJ48WV7We++95zPe6XSKa665xutY5+83WbVqlfw93nXXXcJms/ld3+effy5P97e//c1nfKi/nef39OyzzwZ8qujFF1+Up/vPf/7jM97zCaBbb7016L69sLDQZ1hnn8DqiZbugepk+9/uiSee8JnmWLV0nzJligBcTznV19cHXIbZbA54zOyI53er1+vFunXrAk4brvpTWFgYtAW73W6XfwOlUhlwe+1OS/eO3HvvvfJnmDt3rs/40tLSoL+JEEI88MADQY+PQnRuW+ioXvXEMdRoNIpNmzb5TNPc3Cw/faTRaHyu67p7TUhEkY9BdyI6oQQLuttsNrF//37xxBNPeKWO8bww83zU88knnwy4nsrKSjnNQGpqqteFlmdwLj8/v9OfoTMXKQsXLpSn9Re09rRo0SJ52vapSjwvnGJiYoI+St1+en8XWp6PdP7yyy8Bl+P5yPnll1/uM97zwnDOnDlByxSKlpYWkZCQIACIW265Jei0VqtVTnNx3XXX+Z3mv//9r1y+Cy64QAjhfYHyyCOPBFy+5++clJQkGhoaAk47c+ZMedrt27d7jXvuuecE4HpM1t9FvaeXX35ZXs7+/fu9xrkvLiRJEhs3bgy6HH86E8gJV5nz8vIEAKHVan3SDXi6+eabA+4XQtXS0iJv89OnTw843ezZswXgumkX7DcNxjOdxxdffOF3Gvf4ngy6h3t7CcbzM8+cOTPotJMmTQq4PQjRc0H3Z555JuB0v/zyizzdZZddFrRMHe3L3PVarVYH3ZbefPNNeZn33Xefz3jPgMHvfve7gMs5dOiQUKlUAoAYP3580LKFUm7PNBo9UZ5ICroLIcRZZ50lAFdal0ABNHf6EaPRKJqamjpcZnvl5eVCrVYLAGLYsGEBg9JCCK9A6eLFi33GhyvovmXLFnk55513XsDp6uvr5f1IoN/knHPOkT9bsMC1EEJceumlcgC2vVB/O/dNsjPPPDPouoQQYvz48QKAmDx5stfwffv2yTd0x40b12G5/YmEoPvs2bMDTuf526WmpvrUu2MVdHen9bj44otD+Xhd4vndBjt3EyI89SdUlZWVcnq7QEHbngq6v/HGG/J3Mn36dL8NG0Jhs9nk9CqBUkKGM+jeE8fQf/zjHwGX8+qrr8rTLVq0yGtcd68JiSjysSNVIjphte+MR61WY/DgwXjkkUfkDt+uuuoqPPzww/I8S5YsAeDqcOzWW28NuOzExERcccUVAICysrKAqWreeeedTnci1hmfffYZAGDAgAE47bTTgk7r2YnYqlWrAk53/vnnIzY2tstlcjgcciqKESNGYNKkSQGnPfPMM5GdnQ3AlW4k2Hd13XXXdblMbj/99BOqq6sBAFdffXXQadVqtfydBvq+rr32Wrlj26+//hq/+c1v8MILLwAATj/9dDzyyCMhleuKK66A0WgMOP6WW26R37vrqJu7Dpx22mkYMGBA0PUEqgO1tbVYuXIlAFfnvePGjQup3F0VjjKXl5fLnU7Nnj076KPHnt9fV+n1elx22WUAXB0JHz582GeasrIyfP/99wBcaXeC/aZuTU1NOHToEHbs2IHt27dj+/btXuM3b97c7bJ3Vbi3l2A867U7NVMgt912m/w+lI5tw0GSJNx4440Bx0+aNAnDhg0D0L19mWe9Puuss4J2KnjdddfJaY7a7xfau+mmmwKOy8zMxJlnngkA2LBhA2pqaoIuy+FwoLi4GLt375br7Pbt2+XUJKHU2XCWp7f97ne/A+Daj7pTS3nav3+/3NnfNddc45PmJBTLly+HzWYD4OqgW6UKnEHUM6VKR/WiOzw7eAz2e8bExMjnS/40NTXJ2/Hll1/uk4KjPfcx4ciRIzhy5EgnSuyye/du7Ny5E0DH+zUAmDp1KgBg7dq1Xuns/ve//8HpdAIAfv/733dY7nBwd7ouhAjYMWxnhfrbtT/XPZbcx/eff/5ZTuXTk4Lto8NVf/xpbW3F4cOHsXPnTnm/WlZWhoSEBADH9nzg+++/xx133AEAGDp0KD777LOgacPcrFYrioqKsGvXLvkz7N69u1PHh+7oqWNosDrhmcZr//79XuOO5TUhEfUOBt2JiNoxGAw466yz8Pnnn2PBggVeF0ruC4rBgwd75W70xzPI7dnj/KRJk+S82//6178wdOhQ/PnPf8Y333yD2tracH4UrFu3DgBw+PBhrxsM/l6eAcDS0tKAyxwzZky3ynTgwAE5J/Opp57a4fTu77Gurg6FhYU9Vi7g6PcFADNmzOjwO3MHh4N9X6+88or8e3/wwQcQQiAuLg4ffvhhyBfh7lz3oYz3vOh1OBzYuHEjANfFaEefZ9SoUfK8np9p8+bNcvDAfYHYU8JVZs/voaPvb+zYsSFdLHbk+uuvBwAIIfDf//7XZ/wHH3wgX1TPmTMn4HL27duHO++8EwMHDoTRaMSgQYMwcuRIjBo1CqNGjcLYsWPlaauqqrpd7q7qie0lEM/fs6P9RqB9b08aNGhQh8cEdz2sr6/v8r6sM9+DTqeTb5Bt3749YEBHo9F0uP8MtI9xs1gseOmll3DKKafAYDAgIyMDw4YNk+vsqFGj5Fy9HdXZcJQnkpx//vlyXvS3337bZ/zbb78tB1qC3cwPpjP1YsKECfL+rie3j87sg4ON37RpE+x2OwDgiSee6HA/c9ddd8nzdmVf47lfu/HGGztcn/tGutVqlW9CApCPY0DPHzd7UlfPP44l942B6upqjBo1CpdeeineeOMNbN++XT53CZfo6Gi5MYg/4ao/bmVlZXjwwQcxdOhQREdHIzMzEyNGjPDat1ZUVAA4ducDO3bswOWXXw673Y7ExEQsXrzYpz8pTw0NDXjyyScxZswYGAwG9O/fH8OHD/f6DFu2bDkmn6EnjqFJSUlITEwMuJz4+Hj5fUNDg9e4Y3lNSES9g0F3IjphjR8/Htu2bZNfu3btQnFxMRoaGrBkyRJcfPHFPvO4T4hTU1M7XH5aWprPfACgUqnwv//9DyeddBIAYO/evXjmmWdw7rnnIiEhAWPGjMFjjz3WpYvF9twn4p0VrFPJYCfWofD8LrrzPYa7XEDXv6/W1taA4wwGA1577TWvYa+++ir69+8f8vLbdzLanuf36Pkd1dbWysGKzvKsA5WVlfL79h2ghlu4yuz5PXT0/anVarmlWHdMnjxZ7ojT3Smip/fffx+A6zucOXOm32UsWLAAI0aMwKuvvho0MOvWnQ5gu6sntpdAOrPfCHWfEU4d1TEg8HbaXrB9WVf3n06nE3V1dX6niY+PD9oyuv262pe9uLgYY8eOxT333IO1a9fKT4oF0lGd7W55Io1KpZKDgj/99JNXS1y73S53tjhu3LguP0XUmXqh0WjkIFBPfned2QcHK3NX9zNA1/aP4VrfsTxu9qSunn8cS7/5zW/w9NNPQ6fTwWKx4PPPP8fvfvc7jBo1ComJibj88suxaNGisLQiNplMQceHs76uWLECQ4YMwbPPPos9e/Z0eAPhWJwPlJeX47zzzkN9fT20Wi2+/PJLZGVlBZx++/btGDZsGB5++GHk5+d3eH7X05+hJ46hUVFRQZehUBwNubUP3B/La0Ii6h3Bz2iJiPowg8GAkSNHdmnezvYg33767OxsrF+/HsuWLcNXX32FX375Bdu2bYPD4UB+fj7y8/Pxf//3f3jzzTdx7bXXdqmMAOST2/Hjx+Pdd98Neb5gQZ9wPiLd3e/RUzjK5Xkx8N133wVNSdIZL774otf/3333XUiPHbt19nty8/w8F1xwAZ566qmQ5w10od3VsoSqt8ocjotxSZJw3XXX4YknnsDu3buxfv16TJgwAQCwbds2uYXVtdde67e+7tu3D3PnzoXVakVUVBT+8Ic/YPbs2cjOzkZcXBy0Wi0A18Wfe/7efBS5p7aX7vL8vXu6vnZmPaH+VqHuy8K1/+xu2efMmYNdu3YBAM4991zcdNNNyMvLQ0pKCvR6vRxwmDNnjt+bUeEuTyS65ZZb8PTTT8PhcODtt9/Gs88+CwBYtGgRysrKAHS9lXt7nakXx2r76Eiw39NzP/O3v/0NF110UcjLdd8E7QzP9b3zzjvyPjwUkbIPDKeO6kikbIt//vOfMXfuXHz88cf48ccf8euvv6KqqkpO6/Tpp59i6tSp+PLLLzsMnAfT0f45XPWntrYWl19+ORoaGqBSqXDbbbfhwgsvxJAhQ5CYmAitViv/NgMGDMCRI0d6/LdobW3FhRdeiEOHDgFwfb5gKSJtNhsuu+wylJSUAHClYLnqqqswYsQIJCcnQ6vVyseHKVOmYOXKlce0PoXzGqQ7jtU1IRH1DgbdiYg6ISEhASUlJSG1OHBfSAPejxa6SZKEmTNnyi1eGxsb8fPPP+PDDz/ERx99hJaWFlx//fUYO3Yshg8f3qXyJiUloaioCKWlpV2+wRBuni2Kw/E9hpNnegilUhmW7+yll17CokWLALjynzY0NOD999/HWWedFfLJc3l5ecjjPb/fhIQESJIEIQSqq6u7/Hk8v5fi4uIuLSNU4Sqz5/fQ0fdnt9vD9hjvnDlz8MQTTwBwtWx3X3DPnz/faxp/3nnnHbmV8Oeff45Zs2b5na67Oaw9W1111HKuubk54Lie2F4C8fw9y8rKgga3PPcrPb3PcOuojgHeLSC7+mRFV/efCoUiYF8c1dXVsNvtQVuXByr73r178eOPPwJw9YGyYMGCgMsItd52pzyRqn///jjnnHOwaNEivPfee3jyySehVqvx1ltvAXClrLjmmmu6vPz29SJYy1Or1Sr/Fj25fXiWqaKiwusJlPaCtQ723M+YzeYeP5fxXJ/D4QjLcbOkpKTD/kkiVXl5edAn87qzLYbrWOSWmpqKe+65B/fccw8AYNeuXfjmm2/w2muv4cCBA/jpp59w2223Bd1PdVe46s8nn3wip1p55ZVXgvZlcizSkAghMGfOHKxduxYA8Pjjj3e4z1q+fDn27NkDAHjwwQfx97//PeC0x6pvjp44hobDsbgmJKLewfQyRESdMHr0aACujnA8Hx3259dff5Xf5+Xldbhso9GIc889Fx988AGeeeYZAK4T9k8++cRrus60tHA/rlhcXIxt27aFPF9PysrKkjsmWrNmTYfTr169GoDrkd7MzMweLZv7+wKAb7/9ttvL27JlC+6//34AQG5uLrZu3Sp3FnXbbbf5dKgUiPsiJ5Tx7joKuNKmuP9fu3Ztly9qxo0bJ18c//TTT11aRqj1Nlxl9vweOvr+Nm/eDKvV2qX1tDd48GC55ddHH30Em80Gh8OBDz/8EIArf3ygi3D3NhofHx8w4A4A69ev71YZPftv6Ohifffu3QHHhXt7Ccbz9+xov9HZfW84HDx4sMNjgrsexsbGdnlf1pnvwWKxYNOmTQCAkSNHBmyhabVa5Xy6gXhuQ579KHgeV4I9veN0Or1yXAfTnfIcC11t7ejuULWiogKLFi3CkSNH5M75rrrqqpA6Vg6kM/Viw4YNcqerPbl9dGYfHGz82LFj5eNPT+9ngPDt18aPHy+/7+njZk/q6vlHKEI9FjmdTuzdu7dTywaAYcOG4U9/+hM2bNgg36j9/PPPw3a89ydc9SfUfeuuXbvkfpJ60p///Ge5I+jf/OY3eOSRRzqcJ9TP0NjYKAfnAwnXttATx9CeEOo1IRFFPgbdiYg6wR0IE0L47RDNraamBgsXLgTgannT2QsRz4Bb+0COTqeT33eUO/eSSy6R3z/55JOdKkNPUSqVOOOMMwC4cj26g+r+LFu2TL7QOvPMM3v8AvSMM85ATEwMAFfndp6t7DurubkZV111FSwWC7RaLT766CNkZmbigw8+gEKhQGNjI66++mo5+BHMwoULg15UedbFs846y2ucuw7Y7XY5pUFnmUwmTJkyBYCr5ZL7IqQzulJvu1PmlJQUOaD03XffBW3RFGxb7gp3S/aqqip88803+P777+X1uztb9cf9WLrZbA7YYRfg6hOgO+Li4uQWrsEC+OXl5fjhhx8Cjg/n9tIRz33im2++GXTaf//73/L79ttDTxFCBE3htXr1auzcuRMAMHPmzC7vyzzr9ZIlS4Lm/f/vf/+LxsZGAAh6EwdwPWURyOHDh/H9998DcAWUPFsKeqZSCNYS9fPPP+9U/ehqeY6FzuzLPM2ePVu+2fLWW2/hnXfekVv33nLLLd0q0/Tp0+XOUd95552g+4/XX39dft9RvegOz2UH+z0bGxvl8yV/4uPj5Y5IN23a1OOB97y8PPlJga+++qrLDRbOO+88OUj34osvBv1NAnHXtc7Us3AL9bdLSUnp9Lnu4MGD5ffBjkWLFi3y6YCyM+Li4jBx4kQArpt63VlWR8JVf0Ldt3b3fCAU8+bNk8/FJk+ejHnz5oU0X6if4Y033ugw13u4toWeOob2pGDXhEQU+Rh0JyLqhBtuuEF+vPCpp57Chg0bfKax2+248cYbUV9fDwC4++67vVpHrFy5MmjrUcAVJHRr/5i4Z1oFzw7Z/LnmmmswZMgQAK7A7eOPPx50+paWFrz44osdPubbXb///e/l9zfddJPfzrfKy8u9Hqf1nKenGI1G3HvvvQCAhoYGXHjhhR12irVs2TKsWrXKZ/idd94pt9x57rnnMHbsWACuvJV//etfAbguMh966KEOy1VZWYm77rrLb67Lt99+G0uXLgUATJs2zacV9d133y0HpZ5//vmgF9CA64bRK6+84jPcXWYhBK688ko5p6c/ZWVlPjcTOlNvw1XmO++8E4DrIu3GG2/0e4NjyZIlIV9AhurKK6+ULxDff/99uQNVlUoVtLVXbm4uANd2GOjx9xdeeAGLFy/udhmnTZsGwNVK0V8rTLPZjDlz5sBsNgdcRji3l46MGTNGDrwtXbrUK3Do6fnnn8fKlSsBuALuI0aM6PS6uuqpp56S8/Z7qqur88rXfdddd3VrPe59oc1mw/XXX+/3N9q9ezceeOABAK6OM2+//fagy3zrrbf83mCxWq2YO3euvO20L7u7zgKu4Jy/fdSuXbtwxx13BP9QYSrPsZCQkCD3r9DRvsyTQqGQg+tLly6VO9jOy8uTA4JdlZycLKd62LlzZ8DjyieffIIPPvgAADB06FDMnj27W+sNZsyYMfJTP4sWLcJ///tfn2mEELjjjjvkNBqBPPbYY/KNqjlz5vg99/K0d+9efPzxx10qtyRJeOyxxwC4WpZecsklHT6VtnHjRnzzzTdew7KysuT9/aZNm3D77bcHPbc6cuSIzzD3cXP//v0h5bqeNm0aJEmCJElYsWJFh9OH4ttvv5U7+/XU/re77bbbOuwAub0RI0bI6Vjeffddv/Xg8OHDHW7n8+fPD9p6vba21utJo55MqxSu+uO5bw10jvLJJ58EPBaGy7Jly3DbbbcBcOUe/+KLL6DRaEKaN5TPsHLlypBazXd2WwimJ46hXdXda0IiOg4IIqITyMGDBwUAAUBMnTq1S8v48MMP5WXo9XrxwAMPiBUrVogNGzaI999/X5x00kny+PHjxwur1eo1/6OPPiokSRKnnHKKeOKJJ8TXX38t1q1bJ9atWye++OILccMNNwiFQiEAiLi4OFFWVuY1f1NTkzAYDAKAGDBggPj000/Fzp07RUFBgSgoKBDl5eVe02/fvl3ExsZ6lemVV14RK1euFJs3bxYrVqwQb7zxhrj22muF0WgUAITNZvNaxvLly+X533333Q6/o1Cmv/XWW+VpMjIyxL/+9S+xZs0asXr1avGPf/xDpKamyuPvvvtuv8u4/vrr5WnCxW63i1mzZsnLjY+PFw888ID49ttvxaZNm8Tq1avFJ598Iu6//36Rk5MjAIi33nrLaxmedeS8887zu47TTz9dABCSJInvvvvOZ5p3331XXsbEiRPlOrtw4UKxceNGsWTJEnHDDTcISZLkurhz506/n+nHH38UarVaXt6MGTPEvHnzxK+//io2bdokli1bJl5++WVx8cUXC51OJ9LT0/0u595775WXYTQaxZ/+9Cfx3Xffic2bN4tVq1aJefPmicsvv1xotVpRW1vrNe+BAwfkso4ePVosXrxY7N69W6631dXVYS+zw+EQkydPlpcxbtw48Z///Eds2LBB/Pjjj+Kee+4RarVaDBo0SCQlJXVrv9DeFVdcIQAIjUYj9Hp9wLrgaePGjfJ3pNVqxR//+EexdOlSsWHDBrFw4UJx7rnnCgBy3QEgrr/+er/L6mi85zYaGxsrnn32WbF27Vqxdu1a8cYbb4jhw4cLhUIhTj31VHm6gwcP+iwnHNtLqPbs2SOio6PldV199dXif//7n9i0aZP4+uuvxWWXXSaPM5lM4sCBA36XE879RmZmpgAgcnJyhMlkEtHR0eLRRx8VK1euFOvWrROvv/66GDRoUIe/R2fK5HQ6xezZs+Xphw0bJt566y2xfv16sXLlSvH444+LmJgYefw//vEPv8uZOnWqACCSkpLEwIEDhVqtFn/4wx/E8uXLxYYNG8T8+fNFXl6evJzp06cLp9PpU5YxY8bI00yZMkUsXLhQrF+/Xixbtkzcf//9Ijo6Wuj1eq9jY0+VRwjvfefy5ct9xnd0fPI8T3j00Uf9lnXatGkCgFCr1eLll18W+fn58r7s0KFDfucRQojS0lKv/RoA8eqrrwacvjMqKytFenq6vNzZs2eLzz77TD5e3HzzzfK5hVqtFmvWrPG7nEcffTToNt8ZW7duFTqdTgAQCoVC3HTTTWLp0qVi48aN4uOPP5b3z+5jXLBzhieffFKeRq1Wizlz5ohPPvlErF+/Xqxfv14sXrxYPP3002LSpElCkiRx7bXX+iwjlN/W7eabb5anjYqKEnfccYf46quvxMaNG8XatWvFV199JR555BG5/v/lL3/xWUZtba3Izs6WlzNy5Ejx8ssvi19++UVs3rxZLF26VDz99NPipJNOEhdeeKHP/I899pg87+233y7Wrl0r17OCggKfczX3NhSo7ofKc380ceJEIUmSmDt3rliyZInYuHGjWLhwoZgyZYo8zdChQ0Vra6vPckI5F/T8jLm5uWL+/Pli48aN4ueffxZPPPGESEhIEElJSSI3N1cAEJmZmT7LACASEhLE3Llzxdtvvy1+/vlnsXnzZvHjjz+Kf/7zn/KxB4B46KGHuvSduL9bf+v3p7v1p7i4WD53UCgUYu7cuWLx4sVi48aN4quvvhLXXHONkCRJ5Obmdnj+4j5OBRof6LPV1NQIk8kkn8t89tlnYtu2bUFfntcgLS0tIi0tTf4eLrroIvHll1+KDRs2iG+//VbcdtttQq1Wi6SkJDFkyJCg329ntoWOjgHhPoZ2VCeC7Xe6e01IRJGPQXciOqGEI+guhBBvv/220Gq1XhfO7V9Tp071CSQK4X1BG+yVkpIifvnlF7/r9zz5bP/yF9TZtWuXGD16dEjrNRqNwm63e83fE0F3m80mfvvb33ZYnrvvvls4HA6/y+iJoLsQQlgsFnH77bfLJ7rBXpIkiY8++kied//+/fLJenp6uqiqqvK7jsLCQhEXFyf/1u1PpD0vGpYuXSoHXAP9ZkuXLg36mX799Vf5wquj1/DhwwMu54knnhAqlarDZbQPugshxA033BBwen8BkHCUubq62iug0/6VmpoqNm3a1OFFaWctXrzYZ10LFy7scL7nnntODrz7e5100kmivLw86PYuRMdBdyGE+Otf/xpwPWq1WrzxxhshBeC6s7101rp167wu4v29+vfvLzZv3hxwGT0RdJ86dar47rvv5BuX/l4XXnihMJvNYSlTU1OTuPDCC4N+DyqVSjzzzDMBl+EZMNi0aZNISUkJuKxTTjnF7zYthBA7duwQycnJQfdPX375ZYefMVzlORZB9x9++EEolUq/ZesoAON5cygqKkrU1dUFnb4zCgoKxNChQ4PWi7i4OPH9998HXEY4g+5CCPHtt9963Sxr/zr//PPF0qVLg/4mbm+88Ybc6KCj1+233+4zf2eC7k6nUzzxxBM+N0kCvZ577jm/yykrK/O6+Rts/+Bv3mDbQfvfx/NYt23btqCfLxjPbfXQoUNeQev2r9zcXFFYWOh3OaGcC1osFnHGGWcEXH5ycrJYvXp10ABnKL8PAHHDDTf4NIQJVWeD7uGoPx9++GHQ+bOzs8WePXs6PH/patDdc3sJ9dV+u1q+fHnQ7T8lJUX8+uuvHX6/ndkWOjoGCBH+Y2gwHQXdQ/leg10TElFkY9CdiE4o4Qq6C+EKmt57771i9OjRIiYmRmg0GpGeni4uuugi8cknn/htgSeEEM3NzeK7774T999/v5g8ebLIysoSBoNBqNVqkZycLGbMmCFeeOEFUV9fH3T9H374oTjrrLNESkqK10l5oCCbw+EQn332mbjmmmvE4MGDRXR0tFCpVCIuLk6MHTtW3HTTTeKjjz4Szc3NPvP2RNDd7ddffxU33HCDyMrKEnq9XkRFRYns7Gxx4403inXr1gWdt6eC7m67du0S9957rxg/frxISEgQSqVSGAwGMXjwYHH++eeLF154Qezfv1+e3mq1yhe9CoWiw5Zmn332mVz+WbNmedWZ9hcNTqdTzJs3T0yZMkUkJiYKrVYrsrKyxJ133imOHDkS0uexWq3ivffeE5dcconIzMwUUVFRQq1Wi8TERDFx4kRxxx13iK+//rrDi9J9+/aJe++9V4wZM0aYTCah0WhERkaGOOWUU8SDDz4oNm3a5Hc+u90uXnvtNTFlyhSRkJDgFbwPFAAJR5ltNpt45ZVXxMknnyxiYmKEwWAQQ4cOFffff798syPcQXe73e71tIbJZAoYcG1v+fLl4sILLxTJyclCpVKJ5ORkMWXKFPHqq6/Kn7Oj7b2j8W6LFi0Ss2bNEvHx8UKj0YgBAwaI6667Tv4NOxOA6+z20lVNTU3i+eefF5MnTxaJiYlCpVKJxMREMXXqVPHPf/7T7z7MU08F3YUQYu/eveJ3v/udyMrKEjqdTsTFxYnp06eLDz/8sEfK9M0334grr7xSDBgwQGi1WhEdHS2GDRsm7rzzTrF79+6g87YPGJSWlop7771XDB06VERFRYmYmBhxyimniFdffdXnRmx7paWl4g9/+IPIzc0VWq1WGI1GMWzYMPGHP/xBfuKgM0H37pTnWATdhRBi9erV4qqrrhIDBw6UW3OHEoD53//+5xUEDDer1SreeOMNceaZZ8rnB/Hx8eLkk08WTzzxhKipqQk6f7iD7kIIcfjwYXHHHXeIrKwsodVq5e313XffFU6ns1PnDFVVVeKZZ54RM2bMEKmpqUKj0chPO02fPl385S9/CdiKvzNBd7cjR46Ihx9+WEyaNEkkJSUJlUol9Hq9yMzMFLNmzRJPPvlkSAHur7/+Wlx11VUiMzNT6PV6ER0dLXJzc8XZZ58t/v3vf4vKysqA67/rrrvE8OHDhcFg8Lop6/n7NDc3C41GIwCIs88+O6TPFkj7bbW+vl48/vjjYvTo0cJoNAqDwSDGjBkj/v73v4uWlpaAywn1d7VareKll14SEydOlJ+MGTJkiLjvvvtEaWmpECJ4gHPv3r3i9ddfF1dccYUYNWqUSElJESqVShgMBjFs2DBx0003iZUrV3brO+ls0N2tu/Vn06ZN4pprrhH9+vUTarVaJCQkiIkTJ4pnnnlGNDY2CiE6Pn/pzaC7EK5zxltuuUV+gslkMom8vDzx17/+VW4ZH8r3G+q2EErQ3S2cx9BAgu13wnVNSESRSxKim0mxiIiIKOzee+89zJ07F4Cr81J3Dm4iihwDBw5EYWEhpk6dGrYcytS3Pf300/jLX/4CAPj1119x6qmn9nKJqC/4/vvv5Y6j169fj/Hjx3d5WTfccAPmz58PAN3On01ERHQiY0eqREREREREPczpdOLtt98GAIwaNYoBdwqb5cuXAwAuvPDCbgXciYiIKHwYdCciIiIiIuphCxYswMGDBwEAd955Zy+XhvqS5cuXQ5IkPP74471dFCIiImqj6u0CEBERERER9TV2ux2HDh2C1WrF2rVr8ac//QkA0L9/f1x//fW9XDrqS1avXt3bRSAiIqJ2GHQnIiIiIiIKs6KiIuTk5HgNUyqVePPNN6HVanupVERERER0LDC9DBERERERUQ9KSEjAjBkzsGzZMsyePbu3i0NEREREPUwS7JKciIiIiIiIiIiIiCgs2NKdiIiIiIiIiIiIiChMGHQnIiIiIiIiIiIiIgoTBt2JiIiIiIiIiIiIiMKEQXciIiIiIiIiIiIiojBh0J2IiIiIiIiIiIiIKEwYdCciIiIiIiIiIiIiChNVbxfgRFRSUtLbRYhoiYmJAICqqqpeLglReLFuU1/G+k19Fes29WWs39RXsW5TX8b6TX1VJNbtfv36dXletnQnIiIiIiIiIiIiIgoTBt2JiIiIiIiIiIiIiMKEQXciIiIiIiIiIiIiojBh0J2IiIiIiIiIiIiIKEwYdCciIiIiIiIiIiIiChMG3YmIiIiIiIiIiIiIwoRBdyIiIiIiIiIiIiKiMGHQnYiIiIiIiIiIiIgoTBh0JyIiIiIiIiIiIiIKEwbdiYiIiIiIiIiIiIjChEF3IiIiIiIiIiIiIqIwYdCdiIiIiIiIiIiIiChMGHQnIiIiIiIiIiIiIgoTBt2JiIiIiIiIiIiIiMKEQXciIiIiIiIiIiIiojBh0J2IiIiIiIiIiIiIKEwYdCciIiIiIiIiIiIiChMG3YmIiIiIiIiIiIiIwoRBdyIiIiIiIiIiIiKiMGHQnYiIiIiIiIiIiIgoTBh0JyIiIiIiIiIiIiIKEwbdiYiIiIiIiIiIiIjChEF3IiIiIiIiIiIiIqIwYdCdiIiIiIiIiIiIiChMGHQnIiIiIiIiIiIiIgoTBt2JiIiIiIiIiIiIiMKEQXciCgun0wmz2Qyn09nbRaHjXKTVpUgrD1E4sX4Tndjsdjvq6upgt9t7uyhEYcXjGxER9TZVbxeAiI5fdrsde/fuxYoVK1BQUCAPz8nJwbRp05CbmwuVirsZ6lik1aVIKw9ROLF+E53YzGYzfvjhB3z88ccoLCwEADgcDmRlZeHKK6/EzJkzodPpermURJ3neXw7cuQIAFd95/GNiIh6gySEEL1diO5as2YNdu7ciUOHDqGwsBCtra04/fTTcffdd3d6WdXV1fj444+Rn5+PxsZGxMXFYcKECbjssssQHR0dlvKWlJSEZTl9VWJiIgCgqqqql0tCwZSWlmLevHmoqqqCwWBAXFwcJEmCEAK1tbVobm5GYmIibrrpJqSlpfV2cSMC67Z/kVaXIq08xwvW7+MD63fnsW5TX5Kfn4+HHnoItbW10Ol0SEpKgiRJsFqtqKurg9lsRlxcHJ5++mnk5eX1dnGJQtb++Jaeng5JktDc3MzjG/U5PDehvioS63a/fv26PG+fCLrfd999KCwshE6nQ0JCAoqLi7sUdC8rK8PDDz+M+vp6jB8/Hunp6di3bx927NiBfv364W9/+xuMRmO3y8uge3CRuJGRt9LSUrz00ktQKBSIj48POF1NTQ2cTifuvvtuntyCddufSKtLkVae4wnrd+Rj/e4a1m3qK/Lz8/H73/8ekiQhLi4OAKBWqwEANptNnq62thZCCLz44osMvNNxwd/xLSoqCgDQ0tIiT8fjG/UVPDehvioS63Z3gu59Iqf79ddfj3/961+YP38+br755i4vZ968eaivr8fcuXNx//3349prr8Wjjz6Kc889FyUlJViwYEEYS010fLLb7Zg3b16HQRsAiI+Ph0KhwLx585grlHxEWl2KtPIQhRPrN9GJzWw246GHHvIKuAfifgLmoYcegtlsPkYlJOoaHt+IiChS9Ymg+8iRI5GWlgZJkrq8jPLycuTn5yMpKQmzZs3yGnfFFVdAq9Vi5cqVPPGkE97evXtRVVXV4UmtW3x8PKqqqrB3794eLhkdbyKtLkVaeYjCifWb6MT2ww8/oLa2tsOAu1tcXBxqa2vxww8/9HDJiLqHxzciIopUfSLoHg7bt28HAOTl5UGh8P5a9Ho9hg4dCovF4tXhWFfZbQJ2u4DDLuBwuF5Op+slnAJ9IOMP9WErVqyAwWDo1DxRUVFYsWJFzxSIjluRVpcirTxE4cT6TXRi+/jjjzvdOapOp8PHH3/cQyUiCg8e34iIKFKx6+427jzrgXK7paamIj8/H6WlpRg1alTQZT3wwAN+hz/77LMAgG8/rw+pTLMv7Ie0jCivYQveOQibzQkJACRAkqSj7z2GAcC5l6QjxqSR57XbnPhiwWFIEgBJgiTB9Wqb2f0/4Bp39kXpUGuO3oBobrLj5+/LXPOibVp3GdoeMpDa/leqJEw7K9Wr7PW1VmzdVCtPL3nM6/l/4b4a6PVKDM9L9Jq/rsaKwwebfeaFBCgU0tFhCiAqSoX0Ad7fXWODDfW1VnkahXvdCvgM02iVMER7bx42qxMOh2ibR4LCPb3i6Hfe1zmdThw5cgT9+/fv1GfW6/U4cuSI/EjniUqlctUpd56yE1mk1aVIK8/xiPU7crF+dw/rNh3v7HY7CgsL/T4Z7P7fndvdU1JSEgoLC2EymeTtgCiSBDu+uY9b7tzunnh8o+Mdz02or+prdZtnT23cHaz4Oyh7Dm9ubj5mZYKf62K7zQmH3bMlfOBW8e3HCAE0NXY9d53d5kRZSWjpdVQq38K3tNixb3djSPPHmNQYnhfrNay6yoKNa6pDmj+ln84n6F54oAnrV4U2/6DsaEyb5X3TYPP6GuzYUud3eveNAIVCgkIhYejIWJx0aoLXNOt/rUJRYYsrWK+QXIF7zwC+QoIkud5nD43BgEHeLTZ2batHY4MNSvf0Ste65L8ew5JTdTDGeF881VRZ4HQKn3mU8nv38MA3EaxWa9vn7dxNBkmSIISA1WrtdCsr6psirS5FWnmIwon1m+jE1tTUBKBr+wD3/CaTKdzFIuo2Ht+IiCiSMegeInfKl1AO6O4W7YEolR4BcdH23uOvW319A9TaFq95O5N6pra2Fja7Uv7fZu1c2prqmmqv4HljgyP0mSXh09twXZ0t9Nkl396KGxusIc9vt9t95m9qDD0fv9Vq8Zm/paU14PRCuF5OpwAg0NTcgqoq7++7pqoZdTWhfQeGGAeijN7r27urETWVof0GY0+JQkamxmvYj980oLnRGdL8p04zIDHFO2j/89JGCKfAiOxroVYpIeCEEI6jL7jfO1HTmA+H8+j3LQQQHzMMu7ZVQ6mS2gL9bTcplK6/SqXrpoFSBWg0Up98eiASe+LuLU6nE2azGc3NzZ36rYUQsFgsaGhokIMIfbE8xyPW78jF+t09rNt0vLPb7XA4HLBarT77AHcLd5vN9xxVCAGHwwGz2cz6TxEp2PHN3WjO3bjOE49vdLzjuQn1VZFYt/v169fleRl0bxPsoAwAra2tXtN1xzmXmTqcJlBw/ayL2lp/ewXrhU/QXghAo/U+8VCpgBnnGv0G+t1BY0C4/gpA2e5JO32UAqdOjwaE8J6v3XqFEH4v6o0xSuRN0EN4Tdu2XiHkZUVFGaDVKgB4n/xHxygweKjWo7zCZznC6RoeHaNEe1EGBZJSVR7Ti7bp4T1MALoo38cMlUpArZEAATjd5XUC/n4qf08pdiZVv7/vT4QWLw+8/k7MLyl8199Y74DTCcRGZ3Q4f13TTjhwNOheX9eIiaNuwpZ1gW9ceJp9SSw8n3JuaXZgzYpmKFWulvlKpStY7wrgHx2mVAEqtYTsod4tVqxWJxrqHF7Tuf5KUCn9f17qWQqFAjk5OSguLg654ysAqKmpQU5OTtgfBY608hCFE+s30YlNpVIhKysLxcXFIXekCgB1dXXIyspiahmKWDy+ERFRJOMZVBv3nYvS0lK/48vKygAEzvneGb//5iA0SgW0Kgk6lQJapQStSuF6KduGqSSc2t+IlGjv1sqHGyxQKSRoVW3zKBXQKCUoQwgaSgoJhmjfYHSoVCoJicldrzI6vQIDsrQdTpeY6LoYaH9nyxSvgim+6+vvN0CDfgM0HU8YwLDRegwbrfcZ7g7Uewb9/QVxR4zVI3eEztVhrtwy3jf473QKxJh8f6dBOVqkZjghnGjreBfe79vmFU4gys9NA2OsAmqN5H9e9/u2z9D+/FMI13ShEvCe2GIJ/SkHwHWDw5PdBjQ3hVYAtcY36F5f48CanwKnhlIqXcF6pUqCMUaBiZOjveevtaO0yAaVSoJKJUGplqBSubYJlbptmKptmNqVqoc6Nm3aNLz55pudukhqaWnBtGnTTojyEIUT6zfRie3KK6/E008/3al5zGYzrrzyyh4qEVF48PhGRESRikH3NiNGjAAA5Ofnw+l0et31bm1txe7du6HRaJCTk9PtdR2stYQ03aA4nU/Q/a/LDqPZ6ht81CglaJUSNCqFHMh/YHI6Uo1H53c4BT7cWgWdSoJerYBepXD9VSuPvpeHKaBi4DAknh3JQgn4TcYP15MC+m48KJGe2fUbBgB8AsmBBHrKYtpsI5xOAavVgf/+9wPYrA7ExJggSQpIkgoSFJAkJRSSEg7n0TpeU1ODuDgT0jNVEEKC09EW4He46qTX/w5XcL990Nq7H4Pg2gfsAcDRQVYeR9u6AeG3P4K6GgcKdoa23SalqnDKVO/v+sghK4oOWWGItkGjUcLptEClkaBRS1BpJKg1EtRq11+tToJGc2K0usnNzUViYiJqampCulCqqalBYmIicnNzT4jyEIUT6zfRiW3mzJl4/fXXUVtbG1Jrd/d0M2fOPAalI+o6Ht+IiChSnXBBd7vdjvLyciiVSqSmHu0oMzU1FXl5ecjPz8eSJUtw9tlny+MWLlwIi8WCmTNnHtOOVrTt87sAsAQIPlodAlaHAPwE5N3Mdic+3RFaR6IA8OHlOTBojkYwq1tseGlNmVdg3idYr1IgSqNAtEaJwfHslOZ45C+1jSRJMMa664IKV11zNl566SXUNymCntzW1NTA6XTihrm/QVpaaEF/f2LilJh+thEOh3AFyO1CDpQ77EcD9g6H/6C7Sg3EJynhsANOx9F57XYBh9132vbsnQn6+wnaNzU4UFVuR1V5xx0ZD8jSIG+C992Z/XvMqCq3ewXnvd7LwxTQaCW/Nw4ikUqlwk033YSXXnqpwwsld1266aabeuwx90grD1E4sX4Tndh0Oh2efvpp/P73v+8w8F5bWwshBJ5++ml2MkkRj8c3IiKKVJLoTM+cEWrdunVYv349AFfuwfz8fKSkpGDo0KEAAKPRiDlz5gAAKioqcOeddyIpKQmvvvqq13LKysrw8MMPo76+HuPHj0dGRgYKCgqwY8cOpKWl4cknn4TRaOx2eX/ZfgAWuxMWh4DF7oTZ473FLmBxuIZdMDQeSYajEUCnELj3u8K26Tzmcfj/Cd+7JBtx+qMnE1UtNtz0xf6Qy/n51UO80tYcqDHjD98eCmleg1qBD6/wbj2wq7IFr60tg0GjhEGtcP3VKBCldv2NbhuelhiH+CgNTFJo+b+pd5SWlmLevHmoqqpCVFQU4uPjIUkShBCoqalBS0sLEhMTcdNNN4UlLVNPEcIVeLfbXUF4SYJPGqbaKjsqy+2w24Q8nd3mMZ/H8LQMDcZM9A6ab9/UgoMFoXUEPHiIFsPHeKcx2rS6GcWHQ0vRM3SUDjnDvS+Q9+4wo6XJCY1OglYrQaNVeL3XaiW/NwuOlUirS5FWnuNFJHZ6Q75YvzuPdZv6kvz8fDz00EOora2FTqdDUlISJEmC1WpFXV0dzGYz4uLi8PTTTyMvL6+3i0sUsvbHt4yMDEiShObmZh7fqM/huQn1VZFYt7vTkWqfCLovXLgQn376acDxngH2YEF3wPXDLly4EFu2bEFjYyPi4uIwYcIEXH755YiO7npLXU8lJSVhWY6bEK5W7u4AvLkteD8oTusVNG+yOPBNQS1abU7Xy97ub9t7s90JIYAF7YLmOypa8ND3h0MqU7JBhbcuyvYatvpII575uTik+XOSDHj+rP5ew1YeasDH26tgaAvSewbvY7RKGLVH/8brVV43LKhn2O127N27FytWrEBBQYE8PCcnB9OmTUNubi5bkQBoanSgpckJvS4aVqsTtTWNsNkEbNa2l8f7gTlaZOV6932w5qcmVJZ13EoeAEadpMfAbO/5f/mhEbXVwXPsKFWAVqvAyHF6pPTz3nbKS2yQFPAK0iuU4Q3SR1pdirTyHA8i8QSJ/GP97hzWbeprzGYzfvjhB3z88ccoLCwEADgcDmRlZeHKK6885k/3EoWL5/HtyJEjEELAYrHw+EZ9Ds9NqK+KxLp9wgfdjzfhDrr3BCGET5qRRosDe6taAwbrW22ugH2zzQmTTon7Tk/3mv+H/XV4eU1ZSOsfmxGLx6Z6t0D4clc13t1UGdL8J2dE46GpGV7DfjxQj3VFjW3BeZVPoN7916BW+E2xQsE5nU5YrVZoNBqvPhHoqK4eQOpr7WhtaR+gdx597/F3xBg9+vX3zv+/bHEDWkLsiPbkKQYkp3kH3Zd+VQ+L2ftQoVK7gvQardTWat71flCOFjp9937/SKtLkVaeSBWJJ0jUMdbvjrFuU19mMpnQ1NQEs9nMYCT1KfHx8bBarWhoaODxjfocnptQXxWJdbs7QXeeWZFf/oLORq0SJ6V3vbX/qf2NyI7XodnmRLPVgWarE822tr9WhzzcKpTITfZdj78OZAMxan0Te++rbsXqI00dzquUgEuGJ+A3Y5K8hq8qbEBVix1GrRKxWiXi9CqY9CrEapVeTxScqBQKBVtF9ZDYOBViO+7zLKBR4/QwtzphMQtYLAJWi+u91eO9+/arRutdl4VwTdee3QbYbU40t9uk+g/UAB7ZcZxOgR8XN0CnV0AXpYBer4AuSmr7q3AN10tenedGWl2KtPIQhRPrN9GJTaVSwWQyRdTFLVE4uI9vTU0dX/8RERH1BAbd6Zhx5XD308tlO4HubF0wNB6nZ8b4BOybrA40WhxosBz9m27U+Cy3wRI8vYabQwAaP/mtlx2ox8aSZp/hCgmIcQfhdSrE6ZWYmWXCiBTvvN4WuxMapcRW9HTMtW+53p4Qrrz0FouAPsq7JZDTAaT1V8NqFrBYnG2B+qNB+vbaB+0tZoHWFoHWFgcQJMWNVidBH6XAaTOiofRIXeOwC5jNTuj0Cq/hRERERERERESRikH3XuBctgjQRUHSRwH6KEDX9tf9UmsYmPXD2Jb+pasuGZ6AUwcY0WD2DdI3WBxotDrQYHag1e5EjJ/1BAraOwVQZ3agzuwAYAEA5KUafKa7b0khShutiPcIzsfpVYjTuVrMew436VRsPU/HjCRJUGskqH3vVUGpknDSqd71WQhXOhuLRfgE49Ua73rb2hLaEyoWs4DD4fAJrNfXObBqmauFkkYrQadXQB/l/utqKR8VrYAhWgGtjje1iIiIiIiIiKj3MejeC8RHb7n+BppAqTwaiNdFAXo9oDdA0kUBUW3DdHogytAWvHeN9wre66IgqdmRqKeseB2y4jt+hN7m8B8knJEVi6GJetRbHGgw21Hb6kCt2e43GB+n9920alvtsDoEyppsKGuyBS3D388cgOHJ3i3lF26rQoxOiaQoNZIMaiQaVIhSd/0mBFFXSZLkyuWuBRATfFpTvBIzzjXC3CLQ2uqEucUJc6uzrfW7U057A8BvLnjPoL0rsO9AQ53/dRljFZg227tAVosTDgeg0zMgT0RERERERETHBoPukcjhAJobXS8PgYL0AYP3KnVbEN7gCtBHGSBFRbvey8Oi24a3DTO4x0efsEF7tdJ/Rzvn5PpPqm13CtSb7ahptaOuLRCfGav1msbhFLDYQ89J3z5ob7E78cFW31ybBo0CSVFqJEap2gLxaiRFqXDqACM0AT4H0bGkUEgwRCthCNIdhNMhYDYLOOy+ezPhdAXMzWYRZGfn4i9oX1Row47NrVAoAUO0oq0srtbx0UYFoqKV0EcxIE9ERERERERE4cOge19mtwGN9a5Xm04F7tUaOSjvDtRLnv+3Be0lryC+RyBfcWK0wlYpJCREqZEQFfgmhVIh4eMrc9Fqd7payLfaUdtqR53Z9be2reV8XVvw3qTz3jSrWux+l+vqhNaCQ3UWr+EL+xu9/q9stmH+5gpXYD7K1Ure3WI+WqNgwJF6lUIpIcrgvw5mDNQgY6AGTqeAxSzaWsk7YW4VMLe43rc0O9Hc6IQh2jfo3tzoehLF6QAa651orPe9+aVQAFHRCgzI0mDwEHYoSURERERERETdw6A7BWazAvU1rlcbf8F5vwF7STracj46BjBEQ4oyAtFG1zBD2zBDu2H6KH9L6xMkSUKUWokotRLpMX6SZwehU0m4clQCKpvtqGq2obLFhqpmO2xO328/VqeEVuUdfCxttGJlYaPPtO5luwLxrlby/WO1uHBYfKfKR9TTFAoJ+ihXZ6txCf6ncfrZHiQJUGsk2KyBm8k7nUBTgxN2P1mfNq9pRm2No62VvAIGoxIGowIxsUrmkCciIiIiIiIivxh0p54hBNDS5HpVlrkG+Zus/QBJQoXBCIUxFg6dHoiOgWSIBgzGtpfrveT+3x2w1xv6dPArIUqNa0YneQ0TQqDe4kBlsysAX9liQ2WzDSo/HbBWNgfOIW+2CxQ1WFHUYAUAZMX5Bt23lDbju4JapBk1SDNq0M+oQZpRjXi9qk9/73R8Ufip+yPHRWHkOMBqdaKlydUivrnJieYmh/zeanHtify1lG9saJun0beFvEYrIcakREysEjEmJZJSVX5T3BARERERERHRiYVB914gTT8HaG2BaG0BzK1AazPQ2nL05fCfSuSEIAREUwMcTQ1HB/mbrP0ApdLVoj46BjDGQoqOAYwxQHSs63+ja7jr/xhX4F55fKe/kSQJJp0KJp0KOQFa/rqNTInCPaemya3kK5vtrmB9iw3mdnm0kwy+aXIKqlux+kiTz3CNUmoLwqvlgHx2iB3WEh1LGo0CmngFTH4e4rBZBZqbHNAbvAPmQriGB2K1CFSV21FV7tpnT5xs8Am6V1faYYhWsFU8ERERERER0QmEQfdeoLjmd0HHC5vNFYg3twCtrfJ70dLSNqzt1fZetLYf3jaPM/SOO497DgdQX+t6wTco769FPaKiPQLzMZA8g/L+AvfHcceyKdEapET7prQRQqDZ6pRbyVc225EY5btbKGn031Le6hAorLOg0COn/KxsE24/OdVruvVFTag125FmVKOfUYM4vQoKBiApQqg1EkzxvvVekiSceX6sq1V8k6tVfEujE40NDjTUO3zujxpjvW/kORwCq5c3QQjfVvExJgWiY5RQKrkdEBEREREREfU1DLpHIEmtBtQmIMbkPbwTyxBCAFZrWyv6ZqDF9RItTW3vm+ThR4d5D+/TQXshgOZG1wvFrkHtJ2k/j07f1lq+LSgfG+f6jWJMbe/b/o81AVr9cdGqVZIkRGuViNYqMSgucOv0i4fFIy81CqWNVpQ22lDSaEVpoxVNVt860i/G9+bEdwW12FDSLP/vbiHvDsK73w+I1SJWx90SRQ6VWkJsnAqxcd7DhRBoaXaioc6BhjpXqhp9lPc239TggGjbkbRvFQ+47v1FxyjagvBKZOVq/abIISIiIiIiIqLjC6NbfZQkSYBW63p55FMINZwjhAAs5qOB+BZX8F54/t/SDLQ2QTS7A/ueAf2Wnvlgvcnc6nr5yVHvE6DXaNsC8HGA0QQp1iQH5T2D9YiNg6TRHovSd8sAkxYDTL7lbLQ45AB8aaMVJY025MTrfaZr31LeXwt5t7tOScXMwSavYTaHE2olc2VT5JAkCYZoJQzRSqRl+J/G6QDiEpR+W8UDrnt/jfVONNY7UVlmx+Ah3ttYS7MT1RV2xJiUMMYqGJAnIiIiIiIiOk4w6E5+SZLkatmt0wPxiUeHhzi/sNtdwffmJqC5AWhugmhqa1nuOczd2rypbbiltWc+0LFmtQBV5a4XOgjQ66MAowmINUGSW8u3Behj4lwt52NMQEwcJFVkbbJGrRJDtHoMSfQNtHuakRWDI/VHg/ONflrIu6XH+KbBueWrA9AoJWSatBgQq0WmyfVKj9H47TiWKBLEJapw+kyjT6v4hjrX+5bmo9tBjEnp83RMZZkNWze49okKJRCXoEJ8ohLxiSrEJaig1rDuExEREREREUWiyIrgUZ8hqVRHW3O7h4Uwn7DbEK/VQDQ1oPbIYaClsS1Y3ySngxGeQfqWRqCpwZVK53jlzsVfURI8xY0kudLbmBKAuARIpniP9wlt7+MBvSHiUttcPjLR6/9Gi0MOwJc22lDaaEVRgxVH6i0YEOvd2rfBbEdtq6uZcHmTDeuKjnboqlIA6UZXAH6ASYNMkxZj0wxsFU8RJVCreJtNoLEtEK/R+W6zDXVHO3F1OoDqCjuqK+wAXE+IGGMViE9UIT5RhYRkFfRRrPdEREREREREkYBBd4ookkoNZVxbIFlvdA0LYT5hsQBN9UBjPdDYANFY7/q/qcHj/wZ5PFqbO15opBECaKhzvQ7vD9x6XtOWUsjUFoyPa3sf1xaYNyW40tr0Yqt5o1YJo1aP3HYt5J1C+HSwWtpkg0ICnD6PCAB2J1BYb0FhvQUoBBQS8PGVuV7TNFkd2F9jRqZJCxPzxVMEUaslxCepEJ/kv16a4pVITVejvtaO1hbfDcCVmsaKwv1WDMrRYOS4qJ4uMhERERERERGFgBEo6hMkrRbQJgMJya7/O5he2G2u1vJNHkH6xgY5cC/agvVwB+ubGgFxnHQsa7UAFaVARWngwHyHrebjgbhESFGGY1r09gF3ABiSqMfCK3NR3GDFoToLDrflgj9cb0FFs3ei7DSjBpp2rdz3VLbiiRVFAIBYrbKtVbyrdfygOC0GmrRsGU8Rqf8gLfoPcj350driRG2VHTVVdtRUOVBf5/DaqP0F7tetbILDgbbW8ErEJaigUkfWUzBEREREREREfRGD7nRCklTqttbgrk5mOwzSOx1Ac3Nba/k6V2C+vlZueX70fS1QXwe/vSZGklBbzeujgPgkID4JUkKy632Cx/vYOEiKng9Yq5UKDIzTYWCczmt4i82Bw3VWHK634FCdBTEapc+8hfVHO2uttziwtbwFW8uPdvSrUkgYFKdFboIOeakGnNzf2HMfhKiL9FEK6Ado0G+Aq88Du02gtsaOmkoHaqrsiE/0Ppw7nQKV5XY4HUBVedv+SAJiTUpXAL4tLQ1T0hARERERERGFH4PuRCGQFErAGON6tSVlDhSoF0IALc1tAfhaCM9gfEMdRNtwNNS7gt6R3IK+tQUoLgSKC/0H5pUqIC4BSEiG1BaQ9wnQq307Rg2XKLUSQ5P0GJoUuCNXo0aJnAQdDtdZYHH4puiwOwUKqs0oqDaj3uLwCbqXNlqhUUpIiFKHvfxEXaVSS0hKUSMpxX+9bKhzwOloN1AA9bUO1Nc6cLDA1Q+GPkpCfKIKI8fpodEyAE9EREREREQUDgy6E4WZJEmAIdr1SusftBW9cDpcqWvaAvOiLTDvHbCvA+prXNNFGocdqCoHqsoDt5Y3xrrS/iQktQXmkyG1BeeRkAxERfdox69nZptwZrYJTiFQ3mST09McqrNgf40ZZU02edrcBN/g/Qf5lVhZ2IgEvQo5iTrkxOuRk6hDdrwOBj8t64kiQWycEmecF4OaKrsrLU2lHQ31vjf4WlsEyktsGHOydz54u12gqcGB2DhlxHXMTERERERERBTpGHQn6kWSQgnEmFwvDAweoLdZgboaoLYaoq4aqKt2/V9XA1Hr/r8asEdYapvGtg5uDxXIwXivoLxWD8QnuoLxiSlAUiqk5FQgMdX1Xqvzs9DOU0gS0owapBk1Xq3ZG8x27KsxY2+1GWPSfHPYF1SbAQDVrXZUH2nCmiNN8riMGA2yE3TITdAjJ0GHQXHMD0+RQZIkRBkkRBk0yMh0PW1iswrUVh/NC19b7Uo/Y0pQQaHw3vtUltmwYVULtDoJKWlqJPdTISlFzZzwRERERERERCFg0J3oOCGpNUBSWyA6wDRCCFeL+LYA/NFgfA1EW8AeddWu3PSRwtIKlB4BSo/4D8rHxrk+c1IqkJTm8T4VMMZ2uxVujE6Fcf2iMa5ftM84m8OJhCgValvtflPTFDVYUdRgxYqDru/z8Rn9fQL3Qgi2FKaIoNZISE5TIznNlZLG6RRoqHVA+FZtVJS6bt5ZzAKHD1px+KAVkgJISFIhJU2F5H5qRBv5pAcRERERERGRPwy6E/UhkiQdzT3ff1Dg4LzN5hGMrz4ajPf8v7Y6MjqErW9LtbNvlzxIjhHq9K4W8clHg/JSUoorOB+fBEnZvaCgWqnA02dmwuEUOFJvcbWIrzKjoLoVh+oscLYLVmbHe7fKb7U5cfOX+5AVp0NOgg4nDQLy0mO7VSaicFEoJJgS/J8GqFQS1BoJNuvRSi6crk5Zq8rt2LHFDEO0AslpKvQfpEFsHE8niIiIiIiIiNx4lUx0ApLU6o5bzTudrtzy1ZUQNZVAdQVQUwlR7X5fBbQ2H9Ny+zC3AkUHgaKDvq3klUpX3vikNFe6mqRUSG0BeiSldSptjVIhYWCcDgPjdJg52DXMYnfiQK1Z7oS1wWxHtNY7yH+gxowmqxNby1uwtbwFn+2sAQBkmrQYlRKFkSlRGJkcBaOWLYYpsowYq8fwPB1qaxwoL7GhotSGhjrvnPDNTU4cLLAixqRk0J2IiIiIiIjIA6+SicgvSaEATAmAKQHS4KF+pxEtzUBNZVtgvgKormwLzLsC9Kivhd/cFceCwwFUlgGVZRA728rrOT7GBCSnQUrNAFLT2/5mAIkpIbWQ16oUGJYUhWFJUQGnOVBr9ju8sK0z1//tqYUEYGCcFhMzonHN6KSQPx5RT5MUEuITVYhPVGHYaD1aW5yoKLWhvMSGqnI7HA7XdO50NW5CCKz5qRlxCUqkpKlhildCUjDFEhEREREREZ04GHQnoi6TogxAlAHI8N8JrLDbXGlqqitcLeTbWsyLtkA9aioBu+2YlxsA0FAHNNTJaWuOtpBXAclpHoF4j79RvnnfgzlvSBxO6W/E3upWFFSZsa/Ohp3lTXB45KURAA7WWpAYpfaZv7rFBp1KAYOGLeGp9+mjFMgcrEXmYC0cDoHqSjsa6hzQ6b07D66rcchpaAp2WqDRSkhOdeWBT05VQa1hZ8NERERERETUtzHoTkQ9RlIFT2MjnE6gqd7VUr6q/GjL9MoyoLLUFbA/1i3lHfbAHbvGmIDUDFcQPi0dUoorGI+EJEgK38C4JElIMqiRZFBj0oAYJCYmosXqwKo9RdhW1oxt5S3YV2OGUwCjUnxbzH+4tQo/HqjH4HgdRiZHYVRKFIYl6xGlZhCeepdSKSE5VY3kVN+bRRWl3jfSrBaBokIbigptkCQgLtHVAj6lnxrRMQp2NExERERERER9DoPuRNRrJIUCiIkDYuIgDcr1GS9sVqCqAqgshagsb/tbJgfnj3kreXfr+L3bXeVzD1drjqaqSctoC8ynAynpkHR6r0VEaZQYm2bA2DQDAKDF5sCuilYMMGl9Vre9vAVOATlv/Be7aqCQgJyEtiB8qgHDkvTQqdhymCJH1hAdjLFKVJTaUVFqg8Xs8WSHAGoqHaipdGDXVjNSM9SYMMnQi6UlIiIiIiIiCj8G3YkoYklqjSuInZbh01JeOJ1AXU1by/jSdq3ky4DmxmNXUJsVKC6EKC48Wj73m7jEthQ16WjJHgpV/0EQ0XGQjDEAgCi1Eiel+6atabU5YdAoIME7F71TAHuqzNhTZcZnO2uglICcBD1uPzkVmX4C90THmlotoV9/Dfr110AIgfpaB8pLXAH4uhqH17Sxcb5PbVjMTmi0ElvAExERERER0XGLQXciOi5JCgUQnwjEJ0IaMtJnvGhpcgXhK9pS1VSVQ1S0Bedrq45d2praKqC2CmJXPhqXf3N0eGwckD4QUkYmkJ4JKWMgkNbfdaMBgF6twD/OHoQmqwM7KlqwrbwF28tbcKjW4hWEdwhgd1UrYrXewUu7U2BnRQuGJumhUbIlPPUOSZJgilfBFK/CkJE6WMzuzljtqCy3ISXN9zRk/S/NMJsFMjLVyBioQbSR6ZSIiIiIiIjo+MKgOxH1SVJUNJCZDSkz22ecsNmAqnKgvBiirAgoK4IoKwZKi4CWpmNTwPpaoL4WYudmV5kAQKEAkvtBSs90dU6bkQlD+kBM7JeMkzOMAIBGiwPbK1wB+G3lLSiss6B/rAYmvffufH+NGQ8vOwKtUsKYNAMmpEdjfHo04vTc7VPv0eoU6D9Ii/6DtHA6Bdo3Zm9udKC22tUavmCnBQU7LTDFK5ExUIP0AWpotLyBRERERERERJGP0RciOuFIarVH2pqT5eFCCKCpASgtcgXjy4shSl1BeVRVAMLZswVzOttuABQBG1cdbdGu1QPpAyClu4Lwp2QMxCnDMiGNT0G92Y7qFrvPoraVtQAALA6BtUVNWFvkupmQk6DDxPRoTMiIxkCTlik8qNcoFL51r6nRCbVGgs169HmOuhoH6mpasWNLK5LTVMjI1CClnxpKJesuERERERERRSYG3YmI2kiSBBhjAWMspNwRXuOEzQZUlB4Nirtbx5cVAebWni2YpRU4sAfiwB5XWdzDTfGITs+EMWMgnOkDXS3k0/pDUquhVyvQz6hGSaN3Z7PuTlk/2FqFxCgVJqRHY+qgGAxLiurZz0AUgpR+apx5QQwqSm0oOmRDealNvtclnEB5sR3lxXaoNRIyB2swbLQ++AKJiIiIiIiIegGD7kREIZDUaiB9gKvFucdwIQRQX+NqHV9eDJR5tI6vqezZQtXVAHU1EDvapahJScfZGQNxdnomSnOysF6VivU1TuysaIHTIyF8VYsd3xbUIVanZNCdIoZSKSEtQ4O0DA2sFidKDttQVGiV084AgM0qvFrDExEREREREUUSBt2JiLpBkiTAlACYEiANy/MaJyxmoLxEbhmvqSqH/fB+OEqKei5VjdMJlB6BKD0CrF+JVADnAzg/Nh5Ng4Zhc2oeNmjTsbFZgxa7K2g5sS1fvKeX15QiNVqNCenRyGQaGuolGq0CA3O0GJijRVOjA0WHrCgqtKG12Yn+AzU+0+/Z3gqtToF+A9TQaJj/nYiIiIiIiHoHg+5ERD1E0uqAAVmQBmQBAEyJiQCAypJiV2C8qBAoPgRRXAgUHQIa6nquMPU1iN6yCpOxCpMB2CUFdqXnYVvGGAxctQViYA6QORhSjAnVLTb8sL8eAPDf/CokG9SYkG7AhAwjRibroVYymEnHXrRRiaGj9BgyUofaagdMCUqv8VarE/t2WeB0Ajs2tyK5nxr9B2qQnKqCgvnfiYiIiIiI6Bhi0J2I6BiTNFogMxtSZrbXcNFYDxQdDcKL4kKg5DBgtYS9DCrhxKiizRhV5EpNI7e7j0/E+uyZQNQ4edqKZhsW763D4r110KkUGJtmwMSMaJzUz4BYHQ8jdGxJkoT4RN96V3LYBmdbRXb1SWxDWZENao2E9AFqZAzUwBSv5FMbRERERERE1OMYLSEiihCSMRYYlueVpkY4nUBVmSsIX1ToCsQXF7o6de2JFDU1VThl01fQxO/BhsRh2Bw/BC2qo51Vmu1OrD7SiNVHGiEBOKW/EQ9OSQ9/OYg6KS1DDeEEigqtqKvxzv9+aJ8Vh/ZZYTAqkJGpQcZANaIMyiBLIyIiIiIiIuo6Bt2JiCKYpFAAyf2A5H6Qxp0mDxcWC1B6uK1VfCFE8SFXiprG+m6v02hvxdSKzZhasRk2SYldsYOwPnEYNiQMR7k+4WgZABgrCiF2Vrpa7huiAQDNVgei1Aq2KKZjSqtTYFCuFoNytWhscOd/t8LccrTD1eZGJ/ZsN6Ouxo6Jk6N7sbRERERERETUlzHoTkR0HJK0WmBgDqSBOV7DRUMdUNwWhD98EOLwfqDkSJdbxauFA6Pr9mF03T7cuG8RiqKSsT5hODYkDsPemEyM3/AVnEt2uSZOSoU0YDBeS5yOvYjBlCwTpg6Ow4BYbfc+LFEnGWOUGDZaj6GjdKiutKPokA2lR6yw213j+w/y7YRVCMEbRURERERERBQWDLoTEfUhUowJiDF5p6ixWIAjByAK9wOFBa6/pUWdDsRLAPq3VKB/SwUuObICDeoo6O0e+eYry9BSU4t1p50NqxL4dFcdPt1Vh0FSM6YkKzE5LxNJSXFh+ZxEoZAkCYnJaiQmqzFynB7lJTaUHrEhOU3tNZ1wCqz8oQmJKSoMytFCH8XOgomIiIiIiKjrGHQnIurjJK0WyB4GKXuYPExYzK5A/KF9QOF+iMJ9QFkRIESQJXmLsbX4DDtsSIHaaYdVebQl8UFhwMFy4P0lpRjRshGTtfU4bWAsjEOGAinpbF1Mx4RKJSF9gAbpA3xbuZcW21Bf60B9rQMH9ljQb4AaWblamOJ5mkRERERERESdx6tJIqITkKTVAdnDIWUPl4cJc4srJU3hPqBwn+tveUmnAvFDGg7jnV//hk0JQ/Fz8lhsSBwGm8LVqlhICmw3ZGA7MvDWYTsmblqFPx7+GorBwyANbrspMDAbkto3KErUk0qLbPJ7IYDiQhuKC21ISFZh8BAtktNUvDlEREREREREIWPQnYiIAACSLgrIHQEpd4Q8TLS2AIcPeATi9wPlxUGXoxYOnFy1AydX7UCzUoe1SSPwc/JYbI/LhlNype2wK1QwKzVQNDUC+esg8tdBAIBSBWQOhpQ9DNLgoa4W+jFMSUM9a9wpUUgfYMf+PWbUVDrk4dUVdlRX2GEwKpCVq0XGQA1UKgbfiYiIiIiIKDgG3YmIKCBJHwUMGQlpyEh5mGhpBg7vb8sR39YivqLU7/wGhxkzyjZiRtlG1GiMWJWch5+Tx2J/TH9MKd/sM/2n6VPQKEVh8uoNGLz0S0iAq4PW7GGAuzV8Wn9ICubcpvCRJAmp6WqkpqtRV2PHgT0WlByxyQ95NDc6sW1jK3ZvM2P8aVFITFEHXyARERERERGd0Bh0JyKiTpGiDMDQ0ZCGjpaHiZYmV274/bsh9u8G9u8GWpu95ou3NuL8ol9wftEvKNYnIcFS5zXeAQnfpJ+GOm0MFvWfgvSWCkwu34LJFZuRtno5sHq5qzW83gAMHnI0Jc2gXFe6HKIwMMWrMO5UFYblOXFwrwWFByywt2WfcdgFjLHK3i0gERERERERRTwG3YmIqNukqGhgWB6kYXkAAOF0AqVHIPbtAvbvcv2tLJOnT2+t9FnGDtNg1Glj5P+Lo5Lx0aCz8NGgs5DTcBhTyjdjUkU+TK1NwPZNENs3taWkUboC70PzXDcCsoZAUrMlMnWPPkqB4WP0yB2hw+EDFhzYa0FSqhpanfdTFi1NDjQ1OZGUwrzvRERERERE5CIJ0Yke8igsSkpKersIES0xMREAUFVV1cslIQqvE71ui/paYP9uCHcQvnA/4LDL4x2SAltN2ViZMgZrEkfBrNL6LEMhnBhdW4DJ5ZsxrXwT/IY4NRogewSkoaMhDRsNDMiCpGDr5J7W1+u30yngsANqjXet27qhBYX7rTDGuvK+p2dqoFQy+N6X9PW6TSc21m/qq1i3qS9j/aa+KhLrdr9+/bo8L1u6ExHRMSHFxgHjToU07lQAgLBZgUP7IPbtgti/C8r9uzC2di/G1u7FbxVfYH3CcPycMhab44fA0RY0d0oKbIkfgnp1NKaXb/K/IqsV2LkZYudmV0v4KAOQOwrSsNGulvipGWyRTJ2mUEhQaLyHWSxOHDlkBQA01juRv96V931gthaZ2Rpotex7gIiIiIiI6ETEoDsREfUKSa0BcoZDyhkOABBCAOXFEPt2Qbd/N07ftwunb38Pjaoo/Jo0CitTxmKnKQsA/HbCesiQCpO1ESabdy55tDQDW9ZAbFnjCsLHxkMaOsqVl35YHqSE5B7+pNRnCSAzS4PDB63yQxsWs8Ce7WYU7DKj/0ANsnK1iI7hkxZEREREREQnEgbdiYgoIkiS5GqFnpoBnH4mAEA0NSB2/x7M3r8Ts/b9jMqCz7AyfgQmV2zxmf/VIZejMDoNp1Zuw+ziXzG0odB/+pn6Goi1PwFrf3IF4ZNSXbngh+VBGjIKUoyp5z4k9SlanQIjx0Uhd6QOh/dbcbDAAnOrK2uf0wEU7reicL8VKf1UyBqiRUIS874TERERERGdCBh0JyKiiCVFxwB5EyDlTQAApNhtuOzwAYh9WRD7dwMFO4DGehQYM7A/pj8AYGXKWKxMGYvMplLMLlmNKeWboXdYAq+ksgyisgxYudQVhE/PdLWAHzoayB0JSR/V8x+UjmsajQLZw3TIytWi5IgN+/dY0FDnkMeXl9hhMQucPjO6F0tJRERERERExwqD7kREdNyQVGogawikrCEA2lLSFBfCsXUvciqrUaBKkKctjE7DG7mX4P2sczC1fBNmlaxGZnN5xyspLoQoLoT44WtAoQAG5rg6ZR06Gsge5kqLQ+SHQikhY6AG6ZlqVFfacWCPBeUlrrwzg4do2cqdiIiIiIjoBMGgOxERHbckSQIyBmJExkA8D2BfZTO+23IEP1c4YYGrE8tWlQ7fpZ+G79JPw/C6Azi/aCVOrtoR2gqcTuDAHogDeyC++QRQqV2B9xFjIY2eAKT1ZyCVfEiShMRkNRKT1WhqcODwQStSM9Re0wghULDTgoyBGkQZ2OEqERERERFRX8KgOxER9RnZSQbceeZQ3GB1YPmBeny3txZFjTZ5/E5TFgY1lYQedG/PbgN2b4XYvRXis/lAQjKk0RMgjR4PDBnFVvDkIzpGieF5ep/h5SV2V4erO80YmK1FznAtNFoG34mIiIiIiPoCBt2JiKjPidYocf7QeJw3JA7bylvwXUEd1hxphEMAs6eNgTQQELvygeJCAMDB6DRkNpVB4crqHrrqCojliyGWLwY0WldnrKMnQBo1HlJcQsfz0wlJCIFdW1sBtD1MsdeCwwctyB6qw6BcLVQqPj1BRERERER0PGPQnYiI+ixJkjA61YDRqQbUtNqxuaQJAwabgJPHAwBEQx1qdmzHA/vjkWBrwKwjqzCjbD1ibC2dX5nVAuSvg8hf5wrdD8hyBd9HT3DlhVewFTO5SJKEUSfpsSvfjLoaV4erdhuwe5sZBwssGDJSh/6DNFAoGHwnIiIiIiI6HjHoTkREJ4R4vQpnDDZ5DZNiTFhmHAq7VIVyjQnvDz4XCwafg0n2Ysza/yNyS7ejy2HPwwcgDh+AWLwQMMZCGnmSKw3N8LGQogzd/Th0nEtMVuP0mSqUFduwa6sZzY1OAIDFLLB1Qyv277Fg2GgdUtPV7DeAiIiIiIjoOMOgOxERndCUkoRojQJNVlfQ0wYJK1QZWDFkDgadJGG2shynF66Gfu8WoKW5aytprIdY/SPE6h8BpRLIHn40F3xKOoOqJyhJkpCWoUFKPzWOHLRiz3YzLGZXiqPmRic2rGpBXIISp82IZqt3IiIiIiKi40ifCbpXV1fj448/Rn5+PhobGxEXF4cJEybgsssuQ3R0dMjL2bRpE7755hsUFRXJy8nKysJ5552H3NzcHvwERETUGy4dkYDzhsThl8IGfFtQh4JqszzuYJPA60jG/KSLMW3CHJxvbEBqwUaIrRuAwn1dW6HDAezZBrFnG8Qn7wDJaUfT0OSOgKRSh+mT0fFCoZCQOViL9EwNDu61YN9uM+xt/f8aY5QMuBMRERERER1nJCFEJ3uNizxlZWV4+OGHUV9fj/HjxyM9PR379u3Djh070K9fP/ztb3+D0WjscDn//e9/8fXXX8NoNGLChAkwGo0oKyvDhg0b4HQ6cccdd2DKlCndLm9JSUm3l9GXJSYmAgCqqqp6uSRE4cW6fXwoqG7FdwV1+PlQA6wO70Pkw9MyMD7ddSNX1NVAbNsAsW0DsHMLYDH7WVonafXAiDGuIPyo8ZBi47q/zGOE9Tt8rBYnCnZacOSgFVNnG6GP8u4PwG4X7Gz1GGLdpr6M9Zv6KtZt6stYv6mvisS63a9fvy7P2ydaus+bNw/19fWYO3cuzj77bHn4/PnzsXjxYixYsAC33npr0GXU1dVh0aJFiI2NxfPPP4/Y2Fh53Pbt2/HEE09g4cKFYQm6ExFR5MpJ0CMnQY+5Y5Px48F6fLu3DiWNViQb1BibdjQXu2SKhzj9TGDSmVA47EDBdoitGyC2rgcqy7q2cksrsGk1xKbVrs5YM7NdaWjyJgADBjMNzQlCo1VgxFg9hozUQaX2/s0tFidWfNuI9EwNcoZrodWyg14iIiIiIqJIc9wH3cvLy5Gfn4+kpCTMmjXLa9wVV1yBH374AStXrsScOXOg0+kCLqeyshJCCOTk5HgF3AFg5MiR0Ov1aGho6JHPQEREkSdaq8QFQ+Nx/pA4bC1vQavNCWW7NB/ri5vwzsYKXDQsHmcMyYNm+FiIK28Gyoohtq13paEp2AE4nV0rROE+iMJ9EIsWAAnJkMZPgnTS6cDAbAbgTwDtA+4AsG+nBVaLwMG9Fhw5aMHgoTpk5WrZ8p2IiIiIiCiCHPdB9+3btwMA8vLyoFB4t/bS6/UYOnQo8vPzUVBQgFGjRgVcTlpaGlQqFfbt24eGhgbExMTI43bu3InW1lZMmDAhpDI98MADfoc/++yzAI4+LkH+qVSuasnvifoa1u3j1xlJvsOEEPhqWTHKmmz49/pyfLKjBleOTcdFo1JhSEoCRo0BrrkFzuZGWLesg2XDKlg2rYFoqOtaIaorIJZ8AbHkCyiS06A9dTp0k2ZAlT0sIgLwrN89TwiBlqZi+X+7DdizzYzD+20YMyEeucNioFD2fl3oa1i3qS9j/aa+inWb+jLWb+qr+lrdPu6D7u786GlpaX7Hp6amIj8/H6WlpUGD7tHR0bj22mvx/vvv449//KNXTveNGzdi9OjRHaaoISKiE0dFkxWHa1vl/6tbbHht1SH8Z8MRXDK6Hy4f0w9xUWooDEboJp0B3aQzIBwO2Ap2wrrxV1g2/Ar7oYIurdtZUYqWrz5Ey1cfQpGcBl2EBeCpZ0iShNkXpePwwWZsXF2N+jpXb6utLQ6s/qkSO7bU4aRTEpA52MB6QERERERE1IuO+45U33jjDSxbtgy//e1vccYZZ/iMX7BgAb744gtcffXVuPjiiztc3rp16/D666+jublZHpaamoorrrgCp59+eljKzI5Ug4vEjhOIwoF1u+9ptTmxdF8dvtxVg5pWu9c4jVLCmdkmXDwsHkkGtd/5RU0lxLaNrs5Yd20BrNbuFSghGdJJkyCNnwQMzDmmgVfW72PL6RQ4ctCKvTvMMLd6n8qZ4pUYNlqHxBT/9Y46h3Wb+jLWb+qrWLepL2P9pr4qEuv2Cd+RajDuewqhBB6++uorLFiwAGeffTZmz54Nk8mE4uJiLFiwAC+99BIOHTqE3/zmNz1dZCIiOk7o1QpcOCwe5+SasPxgAz7fWY3SRlfrY6tDYPGeWny3txZnDI7F7RNTfY5FUnwSpKmzgamzIawWYM92iK3rXZ2x1lR2vkDVFRBLv4BY+kWvBuCp5ykUEjIHa5GeqcGhAgsKdplhd1U91NU4sGVdC2acGwOFgr87ERERERHRsXbcB92joqIAAC0tLX7Ht7a2ek0XyI4dO/DBBx9g4sSJuP766+XhWVlZuPfee3HPPfdg0aJFOPPMM5GSkhKm0hMRUV+gVipwVrYJZ2TFYvWRRny6oxoHay0AAIcAnKLjm7+SRguMOgnSqJMgrvktUHLYFYDftBroShoaBuBPCCqVhOxhOgzI0mDfbgsO7rXA6QSGjNIz4E5ERERERNRLjvugu7uZf2lpqd/xZWVlAALnfHfbuHEjAGDEiBE+47RaLbKzs7Fu3TocPHiQQXciIvJLqZBwemYMJg0wYnNpMz7dUY2dFa24eHi8z7RljVakRKv9BsAlSQLSMyGlZwJnXwZRVQ6x8VeIjauAg3s7XzCfAPxpkMafzgB8H6LRKjA8T49BOVoU7rcgY4BvapnmJgcM0cpeKB0REREREdGJ5bgPuruD5Pn5+XA6nVAoFPK41tZW7N69GxqNBjk5OUGXY7e7cvE2NDT4He8e7u5Jl4iIKBBJkjCuXzTG9YtGUYMFGTFar/ENFgfu+eYgBsRqcdmIBEzIiIYiSPBbSkyBNOtiYNbFYQrAfwmx9MujAfiTJgGDchmA7wP0UQoMHaX3GV5dYcevK5qQmaXBsNF6qDX8rYmIiIiIiHqKouNJIltqairy8vJQWVmJJUuWeI1buHAhLBYLpkyZAp1OB8AVXC8uLpZbwLsNHToUAPDDDz+gpqbGa9zmzZuxZ88eqNVqDBkypAc/DRER9TXtA+4AsHhPDcx2gb3VZjz9czHuXnwQyw/Uw+7suG9zKTEFilkXQ/nQ81D8/S1Il80FBuV2rXBtAXjn3++D88+3wPnJOxAH9uA472Od2nE4BPI3tAACKNxvxfJvG1ByxMrfmYiIiIiIqIdIog9ccZWVleHhhx9GfX09xo8fj4yMDBQUFGDHjh1IS0vDk08+CaPRCACoqKjAnXfeiaSkJLz66qvyMpxOJ5566ils27YNer0eEyZMkDtS3bRpE4QQuOGGG3DOOed0u7wlJSXdXkZfFom9FROFA+s2ub2/uQJf7a71CbInG1S4aFgCZg6OhVbVufvioroCYuMqiA1dbAHvKT4J0oTJkE6bAanfgJBmYf2OXBaLE1vWtqCi1O41PKWfCqNOioI+6rhvg9GjWLepL2P9pr6KdZv6MtZv6qsisW6705p3RZ8IugOuH2ThwoXYsmULGhsbERcXhwkTJuDyyy9HdHS0PF2goDvgagW/ZMkS/PrrrygqKoLFYkF0dDSys7Nx9tlnIy8vLyxlZdA9uEjcyIjCgXWbPNW02vH1rhp8W1AHs93pNS5Wp8QFQ+Jxdq4JBk3nc3CHNQA/KBfSqTMgTZwMyWAMOBnrd2QTQqC0yIbtm1phMR899VOqgGGj9BiYrYHEjlf9Yt2mvoz1m/oq1m3qy1i/qa+KxLrNoPtxhkH34CJxIyMKB9Zt8qfJ4sA3e2uxaE8tGiwOr3FRagWemjkAWfG6Li8/bAF4lQpS3smQTpsBjBgHSel9M4D1+/hgszqxa6sZhfutXsNN8UrkTYhCjIkdrbbHuk19Ges39VWs29SXsX5TXxWJdbs7QXf2CkpERNSLorVKXDEqERcMi8f3++rw5a4aVLW40oBEaxQYYPLNCd8ZUkIypLMuBs66GKK6si0A/0vnA/B2u2vejauA2DhIJ09zpZ9Jz+xW+ejYUmsUGD0+CumZGmzd0IKmBtdTFnU1Dvy8tBGjx+sxIKt7dY6IiIiIiOhEx6A7ERFRBNCpFDh/aDxm58Th50P1+GxnDc7NjYOqXcqP6hYbjFolNMrO5+GWEpIgnXURcNZFRwPwG1cBB/Z0bkH1tRBLv4BY+gWQmQ3ptBlwzr4YipjYTpeJekdCkgpTzjJi/24LCnaa4XQCksI1nIiIiIiIiLqHV1ZEREQRRK2UcMZgE6ZnxcLpJwHcS2vKcKTegmtGJ2L6oFgou5iHO2wB+MJ9EIX7UPnJO9BOOB3ipNNd6WdUPMWIdEqlhNwROvTrr0b+hhYkp6phMDK9DBERERERUXfxipiIiCgCKSQJ7ePpW8uasaW0GQDw8poyfLGzBr8Zk4RTMqIhSV3vBNMrAF9ZBrF6OcTqH4Gq8tAXYrfDsnoFsHoFYIyFdEpb+pmMQV0uFx0b0TFKnDY9Gv56+Tmw1wK1GsgYqOlWHSMiIiIiIjqRMOhORER0nGi2OhGrU6Le7OpwtajBimd+LsaQRB3mjEnGyJSobq9DSkqFdMHVEOddCezbCfHrMlcnrBZz6AtprIf4/iuI778CBmRBOu0MSBOnQjLGdLt81DMkSUL7mHpTgwO78lvhdAJFh2wYNV6PaLaEJyIiIiIi6pAkhL92TdSTSkpKersIES0SeysmCgfWbQqHVpsTX++uwRc7a9Bqd3qNG5dmwHVjkpAVrwvrOoW5FWLTalfr991bu7YQpQoYNR6KSTOAkeOZfuY4sGlNM4oLbfL/CgWQM0KH7CFaKJQnTqt37rupL2P9pr6KdZv6MtZv6qsisW7369evy/My6N4LGHQPLhI3MqJwYN2mcGow2/HJjmp8s7cO9nbJ36dkxuC6MUlIjlaHfb2iqhxizXKIX38EKsu6thBjLKSTp0I6dQakAVnhLSCFjd0usHe7Gfv3WgCPKmaMUWD0hCjEJ54YN06476a+jPWb+irWberLWL+pr4rEus2g+3GGQffgInEjIwoH1m3qCZXNNny4tQorDtZ7dbz6wuyByE4Ib4t3T0IIYN+utvQzvwDm1q4tKGMQpEkzXOlnYkxhLSOFR12NHVs3tKK+1uE1fGC2BkNH6aHW9O1W79x3U1/G+k19Fes29WWs39RXRWLdZtD9OMOge3CRuJERhQPrNvWkw3UW/De/EmuLmjBpgBH3T04/ZusWFgui922Hefk3sG7dAL89cnZEqYQ09lRI088Bckaw084I43QKHCywYM82MxwesXedXsLIcXqkZWh6r3A9jPtu6stYv6mvYt2mvoz1m/qqSKzb3Qm6nxjPBRMREfVxA0xaPDQ1A7srW2HS+XZ2+f2+OrTYnDg71wSNUhHWdUtaLfRTZ0E/dRYq9+6CWN2WfqaiEzeZHQ6IDb+4Ws2nZ0KadjakU6ZB0nW/c1jqPoVCwuAhOqRlaLBtYwsqSu0AAHOrwO5tZqT0U0Oh4I0SIiIiIiIigEF3IiKiPmVokt5nWIvNgfe3VKLB4sDXu2tw9ehETB8UC2UPBEml+CRI514Bcc7lwP7dR9PPtLaEvpDiQogP/g3x2XxX3vfp50BK6x/2slLnRRkUmDjZgNIjNmzf3AqLWWD0+CgG3ImIiIiIiDww6E5ERNTHLSmoQ4PFlROkqsWOl9eU4YudNbhuTBJOzojukVQukiQB2cMgZQ+DuOoWiM1rXK3fd20JPf2MuRVi+WKI5YuBIaOgmH4ukDcRkoqnL71JkiT0G6BBYqoKFSV2JCT5/h52u4BKxUA8ERERERGdmHjVSkRE1MedNyQeGqUCH2+vQr3ZFXwvarDi7z8XY0iiDnPGJGNkSs+lcZE0WkgnTwVOngpRUwWxdgXEr8uAsuLQF7JnG5x7tgGmeEhTZkOafBYkU3yPlZk6ptEokDHQN5d7yRErdmxuxdiTo5CYou6FkhEREREREfUudqTaC9iRanCR2HECUTiwblNva7U58fXuGnyxswatdqfXuHFpBlw3JglZ8bouLbuz9VsIARzcC7HqB4i1PwEWc+dWqFRCGncapGlns+PVCNLa4sRPSxphs7pOL7OHaTFkpO64Tj/DfTf1Zazf1FexblNfxvpNfVUk1m12pEpEREQd0qsVuHJUImbnmPDpjmp8s7cOdqcrOLqptBmbSpvx4OR0nDrA2ONlkSQJyBoCKWsIxKU3QKxZDrH8G6CsKLQFOBwQ61dCrF/Z1vHqOW0dr/rmtKdjp6XZCc/7H/t2WVBVbse4U6NgiPbt4JeIiIiIiKgvUvR2AYiIiOjYitWpcNNJKXj9/CzMyIqFuxGySafE2H6GY14eKcoAxYzzoHjiVSj++Ddg3GmAohOnKMWFEB+8Dud9N8D54RsQpUd6rrAUVEKSClNnGZGYcrRdR12NAz8vaUTRIWsvloyIiIiIiOjYYUt3IiKiE1RytBr3nJqGi4fF4z/5lRibZoBO5R3sbrU5oVVJUByD9C2SJAHD8qAclufK/b5yCcTPS4CGutAW4Nnx6tDRUEw7BxhzMiQlW1gfSzq9AqdMNWD/Hgt2bzVDCMBuBzavbUFFmQ2jToqCWn38ppshIiIiIiLqCIPuREREJ7gBJi3+MjUD/rp5eXVtKSqa7fjthBQM7mK+966Q4hMhXXgtxLlXQGxe4wqkF+wMfQG7t8K5eytgSoA0ZRY7Xj3GJElC9lAdEpNV2LS6Bc1Nrj4EigttqK1qxLhToxCXwNNQIiIiIiLqm5hehoiIiADApzPS7eUtWFnYiD1VrfjTt4fw2toyNJjtx7ZMKjUUEyZDef8zUDz6L0hTZgPaTgT/66ohvv4QzgdvgvPN/4PYu8PvzQXqGaZ4FaacZUT/gRp5WEuzE+tWNsNh5+9ARERERER9E5sYERERkV+H6y1QKQC7ExAAluyrw6rDDbg2Lwmzsk1QKo5tihApYxCk626HuPR6iNXLIVaw49XjgUotYczJUUhKU2HrhhbYbcDo8XooVUwxQ0REREREfZMk2NzrmCspKentIkS0xMREAEBVVVUvl4QovFi36XhU3GDF2xvKsam02Wv4oDgtbhmfghHJUQB6p34LIVxpZFZ8A2xZCzidnVtAlAHStHMgnXEepJi4HikjeWtpdqC0yIbBQ45dqqLu4r6b+jLWb+qrWLepL2P9pr4qEut2v379ujwvg+69gEH34CJxIyMKB9ZtOl4JIbCuuAnvbKxAWZPNa9yUgTG4YWwShgxIA9B79VvUVEH8/B3EyqWhd7zqplJDOm0GpDMvgpSa3iPlo+BqquwoLrRieF7ktYDnvpv6MtZv6qtYt6kvY/2mvioS63Z3gu5ML0NERERBSZKEkzOMGJtmwJc7a/DJjmpYHa579j8fasC6oiZ8cF0cUmN6r/WyFJ8I6aLfQJx3JcSm1RDLvwH2hdjxqt0G8fMSV8B+7ClQzLoEUtaQni0wyWxWgU1rWtDa7ER1pR3jTjEgxqTs7WIRERERERF1GYPuREREFBKNUoErRiVielYs3t1UgVWHGwEAo1L0vRpw9ySp1JAmTgEmToE4chBixbcQa5YDVkvHMwsBbFoN56bVQO4IKGZdAow8CZKC/c73pCOHrGhtdqUGaqx3YuX3jRg+Ro+B2Rqfzn2JiIiIiIiOBwy6ExERUackGdS4f3I6tpY1473NFbjppBSfaexOAdUx7mi1Pam/Z8erP7Z1vFoc2sx7d8C5dwfQbwCkWRdDmjgFkkrdswU+QQ3K0UCpBLZvboXT4UrNv31TKyrLbMibGAWtljc9iIiIiIjo+MKrGCIiIuqS0akGvDB7INKMGq/hFrsTdy8+iA/yK2Gxd7Jz0x4gRRmgOON8KJ54DYo/PAGMGh/6zCWHId79F5x/vhXOpV9AtLb0XEFPUJIkIXOwFlPOMiLGdPTUtLzEjp+XNKKq3BZkbiIiIiIiosjDoDsRERF1mb/0H5/vrEZxgxULt1fjjkUHsOpwAyKh33ZJkiANHwPl3Y9A8djLkE6dDihDzB1eVw3xybtwPnATnJ/Ph6ir6dGynoiMMUqcPtOIQTlHb+KYWwVWr2jGrq2tcDp7vw4RERERERGFgkF3IiIiChunENhadrQ1eGWLHc+tLMEjy47gcH0IedWPESk9E4ob/wDF029COusiQKsPbcbWZohvP4PzzzfDOf9liLKiHi3niUaplDByXBQmTjZAoz16Q2ffLgtWr2iKiJs3REREREREHWHQnYiIiMJGIUl46swBuPPkVMRqj7Yi31regt8vPoh5G8vRbHX0Ygm9SfFJUFx+IxTPzYN0yRwgxhTajHY7xC/fw/nIHXC8+hTEvl09Ws4TTUo/NabOMiIx5Wj3Q2kZ7FiViIiIiIiOD+xIlYiIiMJKIUk4M9uEUwcYsWBrFb7ZWwunABwC+Hp3LX4+1IA5Y5IwPSsWiggJokpR0ZDOvgxi5gUQa1ZALPkCKA+h01UhgC1r4dyyFsgeBsWsS4DREyAp2K6hu3R6BU6ZasCBPRbUVDm80s4QERERERFFMknwOd1jrqSkpLeLENESExMBAFVVVb1cEqLwYt2mvixY/T5Ua8ZbG8qxvaLVa/jYNAMenZ4Rka2XhdMJ5K+D87vPgAN7OjdzagakWRdDOnkaJLW6Zwp4ghFC+NSTpkYHbBaBuMSebUPCfTf1Zazf1FexblNfxvpNfVUk1u1+/fp1eV62dCciIqIeNTBOhydnDsAvhY14d3MFqlvsAIBx/QwRGXAH4GqpPvYUKMacDOzbBeeSz4H8daHNXFYEMf9liC8/gDTzfEhTZkOKMvRsgfu49vXE6RDYtLoFDXUODB+jx6Acpp4hIiIiIqLIwaA7ERER9ThJkjB5YAwmZETjk+3V2FzahHNy43q7WB2SJAnIGQ5lznCIksMQS7+AWPMT4LB3PHN9DcRn8yEWL4Q0dTakMy6AFJfQ84U+AezdaUZ9ratvgB2bW1FfY8fo8VFQqhh4JyIiIiKi3seEo0RE/8/efcdHUed/HH/NbNqmASGBkFBCh9B7R5ooKIoKYvdsZzsb3J3n3aF3p55dz9/Zz95BxAYoSgcJHUIvoUOAEALpdWd+f8QEY0ISQpZsNu/n43GPxzE735nP7n6yzn72O5+viJw3AT4mN3aP4LmLYvAxSxZID6bm8vjCgxxNz6uh6MpnRDXH/N0DmE/9D+OiKyDAWbmBOdnYc7/CeuQOrI9ewz5x3L2B1gHNW/lRP+z0Qr2H9ufz84IMsjKtGoxKRERERESkkIruIiIict45flNwt2ybV1ceZU1iJvfN3svX207gsjxz2RmjQUPMCbdgPvMuxlU3Q72wyg10FWAv+QHrb3diffI6dorn9CqsbQKDHAwcEUyzlqcXV0096WLpT+kkJ+XXYGQiIiIiIiIquouIiIgH2HE8mx3JhQut5rls3lt3nD/N3c+elJwajuzMjMAgzIuvKpz5fvN9ENm0cgNdBdiLvsf62++xPn0D++QJ9wbqpRwOg259nHTp6aSonXters2KRZns2ZmLbXvmjzYiIiIiIuL9VHQXERGRGtexUSDPjG5Bi/r+xdt2p+Qw5Yd9fLg+idwCz20bYvj6Yg6+EPOfr2De+zdo07FyAwsKsBfOwfrr77E+ewv7lIrvZ8swDGLa+jNgeDD+AYWVd9su7PO+fmUWrgIV3kVERERE5PxT0V1EREQ8QrtwJy+OieGGbuH4/tJ+xrLhy60pPDBnLxuPZtZwhOUzTBOjez8cDz+D+fDT0L1f5QYW5GMvmIX11zuxPv8f9qkU9wbqhRpG+DDkwpASfd4P789n947cGoxKRERERETqKhXdRURExGP4mAYTO4fzn0ti6NTo9EKlR9LzmTr/IK+sOEJGrqsGI6wco00sjnv/hvmv1zAGjgSzEpdc+XnY878rnPk+7R3s1JPuD9SLOANNBo4Ipvkvfd7rhzlo3cG/glEiIiIiIiLVT0V3ERER8ThNQ/15YlRz7ukbSaDv6cuVebtTOZSWV4ORnR2jSVPMWx7AfPw1jAEjwKhk8X3eN1h/vQNr+jvYaSq+V5bDYdC1j5NufZz0HhSEw2FUPEhERERERKSauaXovnHjRnccVkREROoQ0zC4qG19Xrm0Jf2bBQMwtn0DOkQ4KxjpeYxGUZi3PlhYfO8/vHLF97w87J++wXrk91hfvIednur+QL2AYRg0b+WPM7Dka2zbNvsSctXnXURERERE3M7HHQd98sknCQ8PZ9iwYQwbNoyIiAh3nEZERETqgIaBvjwytCkrD6bTJTKw1OOH0/JoEuKLaXj+rGajcRTGbQ9hXzIRe9Y07FVLwa5gkdi8XOwfv8JeNAdj+CUYF12JERJ6fgL2Int25rJ1Qw77d+fRZ3AQgUG64VNERERERNzDLd82/Pz8SE5OZsaMGdx33308/vjj/Pzzz+Tn57vjdCIiIlIH9GsWQqCvo8S2U9kF/HnuPv720wEOpdWeRTONyKaYt0/B/OcrGH2HQmV+MMjLxZ47E+uR27FmfoCdkeb+QL1EeqqLrfE5AKSdcrHkx3SSj+m6VERERERE3MOwbbva77HNyclh+fLlLFy4kJ07dxZvDwwMZPDgwQwfPpxWrVpV92lrjcTExJoOwaOFh4cDkJycXMORiFQv5bZ4s5rK7+eWHWbZ/nSgcBHWSV0ackXHhvjWsl7eduKBwpnva5ZBZS/N/J0YIy/FGD0eIyjEvQHWcrZts393HpvXZxffWGAY0LFbAK3a+WOU86OHPrvFmym/xVspt8WbKb/FW3libkdFRVV5rFuK7r925MgRFi5cyJIlSzh58vRCYM2bN2fEiBEMGTKE4OBgd4bgcVR0L58n/pGJVAfltnizmshvy7b5ND6ZmVtP4PrV1UyLev7c2z+S9uG1r/e7ffgA9nefYa/9ufKDApwYI8dhXDgeI6huXVOdrZTjBaxZnkluzumEiW7hS9fegfj4lF1412e3eDPlt3gr5bZ4M+W3eCtPzG2PLroXsSyLDRs2sHDhQtatW0dBQQEAPj4+9O7dm+HDh9OtW7dyZxp5CxXdy+eJf2Qi1UG5Ld6sJvN738kcXll5lF0ncoq3GcCl7RtwfbcInL61r3e3fWgf1qzPYe3yyg9yBmKMvAzjwsswAlV8P5PsLIs1P2dyKsVVvC20vuOMfd712S3eTPkt3kq5Ld5M+S3eyhNzu1YU3X8tPT2dpUuXMn/+fA4dOlS8PSwsjBEjRnDhhRdSv3798x3WeaOie/k88Y9MpDoot8Wb1XR+uyybWTtO8kn8cXJ/Ne29UZAPd/eNpGdU7SxC24f2Yn33OayLq/wgZxDGqMsK/xcY5L7gajGXy2bzumwO7Mkr3ubrZ9B7YCDhjX1L7FvTuS3iTspv8VbKbfFmym/xVp6Y2+dSdK+RqV/Hjx8nMTGxRLsZgJSUFGbMmMEf/vAHvvjii5oITURERGohh2lweccw/ntpS7o3OV1oTsos4J8LD/HO2mM1GF3VGU1b4rj7Ecyp/4Hu/Ss3KDsT+7vPChdcnTUNOzen4jF1jMNh0K1PIF16OTF+uRrOz7PZsDoby3Xe56OIiIiIiIiX8TlfJ0pLS2PJkiUsWrSIgwcPFm+PiYlhxIgR9OvXj02bNvHTTz+xY8cOZsyYgZ+fH5dffvn5ClFERERqucbBfvxjeFMW70vj7bVJpOcWthDpGFH7+rv/mtG8FY57/4p9YDfWt59B/KqKB2VlYn/zCfaiORjjrsUYfCGGw+H+YGuRmDb+hNZ3sObnTPLzbHoPDMSsZYvwioiIiIiI53FrexnLsli3bh0LFy5k/fr1uFyFX3ydTieDBg1i5MiRtGrVqtS4BQsW8Oabb9KoUSP++9//uiu8GqP2MuXzxNtJRKqDclu8mSfmd2pOAW+vTSK3wOKRodFetW6MvT+hsPi+cXXlB0VGY15xE/To71WvRXXIybZIPemicZRvqcc8MbdFqovyW7yVclu8mfJbvJUn5va5tJdxy0z3Q4cOsXDhQpYuXUpqamrx9nbt2jFy5EgGDhyIn5/fGcePGDGCTz75xKNeZBEREald6gX4MGVQFPkuu1SRedvxLPak5DKmXX3MWliANlq0wXHfVOy9u7C++ww2ral40NHDWK8/Ba07YE74HUabWPcHWksEOE0CnKW7Lh47kk9edhZRzQJrICoREREREamt3FJ0nzJlSvH/Dw0NZciQIYwcOZLo6OhKHyMgIICMjAx3hCciIiJ1iO9v2oXkFFi8HHeEI+n5rDiUzv39mxARVHqGc21gtGyL4/5HsffsKCy+b15X8aDd27Ge+Qt074d55U0YTZq5P9BaKCPdxbq4TFwFmfQe2JDG0aV/vBERERERESmL23q6d+3alREjRtCnTx98fM7+NI8//nhxOxoRERGR6vLt9hSOpOcDsPFoFvfN2svtvRsxslW9WltUNVq1x/HAP7B3by9sO7N1fcWDNqzEil+NMXgUxmXXYtRv6P5Aa5FNa7MpKEwTVv98gujmvnTtE4iPT+3MEREREREROX/c0tP9+PHjREREVPdhvYZ6upfPE3s4iVQH5bZ4s9qU3/kui882JvPVthSsX10F9Y4K4t7+TQhznrd15t3G3haP9eUHsD+hcgP8/DBGjce4+EoMp1qpQGGf9zU/Z3LyxOlJIKH1TfoMCiIwWAvSineoTZ/dImdDuS3eTPkt3soTc/tcerqXbl5ZDbZu3UpcXFyl91+5ciWLFy92RygiIiIiJfg6TG7q0YinLmxBVMjptjJrEjO5b9YeluxLw43rzJ8XRsdumH99HuOOP0JEZMUD8vKw50zH+uvvseZ/h100xbsOC3CaDBgeTLvY0OJtaacsls7LICW5oAYjExERERERT+eWovtrr73G+++/X+n9P/zwQ15//XV3hCIiIiJSpg4RTv4ztiWXtm9QvC0jz+KFnxN5blkiaTm1u7BqmCZm36GY/3oV45o7IDi04kEZadif/w9r6j1Yq5ZgW5b7A/VgDofBoOGNGDgsAuOXq+a8XJu4hRkcPpBXs8GJiIiIiIjHckvRvSpq+4wyERERqX38fUzu6N2Yx0c2o1HQ6bYyPx9IZ/L3+8h31f6is+HjizlyHOa/38IYezX4+VU8KPkY9v+ex/r3H7G3xbs/SA/XvlM9Bg4Lxs+/sJ+7ZcG6uCx2bs3RNayIiIiIiJTiEU1Ls7Ky8KvMF8BynDhxgmnTphEfH096ejoNGjSgT58+TJgwgeDg4LM61rZt25g9ezY7d+4kIyOD4OBgmjdvztixY+nZs+c5xSkiIiKep2tkEC9f0pL31iXxY0IqAJd2aICvw2PmJ5wzwxmIccUN2MPHYH/7GfayeWBX8KPC/gSsF6dCpx6YV/0Oo1nL8xOsBwqL8GHwqGBWLskkM73wdduxKYewcAfhjXwrGC0iIiIiInVJjRfdV65cSVZW1jk1pj969ChTp04lNTWV3r17Ex0dTUJCAnPmzGHDhg08/vjjhISEVOpYX375JdOmTSMkJIRevXpRv3590tPT2bdvH1u3blXRXURExEsF+jq4t18T+jcNYf6eVMa1D6vpkNzCqN8Q46Y/YF94OdbMD2HDyooHbVmPtXUDRv9hGJdfj9GwkfsD9UBBwQ4Gjwpmzc9ZnEgqoE0HfxXcRURERESklGopus+ZM4c5c+aU2JaWlsYf/vCHM46xbZusrCyysrIA6NevX5XP/84775Camsott9zCmDFjird/8MEHzJ49m88++4zf//73FR4nLi6OadOm0aVLF/74xz/idDpLPF5QULt7u4qIiEjFekUH0yu69F1yh9PymL0jhRu7N8LpW/tnwBtNmuG492/YCVuxZrwPu7eXP8C2seMWYq9ehjHiEoyxEzGCKjepwZv4+Zn0HxrEgb15tGh9bndqioiIiIiId6qWontmZibHjx8vsc2yrFLbyuJwOBg0aBBXXXVVlc597Ngx4uPjiYiI4KKLLirx2NVXX828efNYunQpN910EwEBAWc8jmVZfPLJJ/j7+/PAAw+UKrgD+PjU+I0BIiIiUgNcls3LcYnsSM5hTWImD/RvQqfGgTUdVrUw2sRiPvwMrF+B9dWHcPRw+QMK8rF//Bp72U8YYyZgjLgUw8///ATrIUyHQUyb0s+5IN8mPc1Fg4a6ZhQRERERqcuq5RvBsGHD6NSpE1A4g/1f//oXwcHBTJky5YxjDMPA6XTSpEkT/P2r/kVt8+bNAHTr1g3TLDnrzOl00qFDB+Lj49m1axddunQ543F27txJUlIS/fv3JygoiHXr1nHgwAH8/Pxo06YN7dq1q3KMIiIiUrutOJTOjuQcAI5l5PO3eQcY16EBN3SLwN/HC2a9Gwb0HIDZrS/2zz9hf/sZpJ4sf1BWJvaXH2AvnI1x2fUYA4ZhmI7zE7AHsiybtXGZJB8roFufQJrGaBa8iIiIiEhdVS1F94iICCIiIor/HR4eTr169YiNja2Ow5crMTERgCZNmpT5eGRkJPHx8Rw5cqTcontCQgIA9erV4+GHH+bAgQMlHu/YsSNTpkwhNDS0wpgefvjhMrc/88wzQOHrI2dWdEeBXifxNspt8Wbent+XNWxIQGAwLy3aTXquCxv4dvtJNhzLYerodsRGelGblStvwB57FZnffU7WzE+wc7LK3z8lGfv9l3EsnEXwjXfj13NAYRHfS1Q2t9fGnSDpSGErwvUrs7CtALr3aeBVr4V4H2//7Ja6S7kt3kz5Ld7K23LbLVOzXn31Vf7973+749ClFPWEDwws+xbvou2ZmZnlHictLQ2An376iby8PKZOncqHH37ICy+8QLdu3di2bRsvvvhiNUYuIiIitYVhGFzUoREf3dCT/i0aFG8/cDKbO6fH89by/eS7rBqMsHoZAU6CJ95C+OvTcV4yARwVz2Av2L+bU0/8kVP/fJCCA3vOQ5SepV2nUOo3OD27fcPqFJbOS8LlsmswKhERERERqQle33DStgu/6FQ0y8iyrOL9J0+eTExMDADNmjXjT3/6Ew888ABbt25l586dFbaaKZrRfibJycmVjL5uKvpFS6+TeBvltnizupLfBvCXQY34KdKfd9YmkVNgYdnwweqDLN6VxIMDm9CywZnXkKmVxt+EOfBC7K8/xl69tMLd8+JXc+KhmzAuuBjjsuswgiu+S9CTnU1u9x/mZM1yi+RjhTPed+9M52RKFr0HB+HvX/vbEIn3qSuf3VL3KLfFmym/xVt5Ym5HRUVVeew5F923bt0KgL+/P61bty6x7WxVpR1N0Uz2ohnvv5WdnV1ivzMJCgoCoHHjxsUF9yJ+fn5069aNBQsWkJCQoP7uIiIidZhhGIxuU59ukYH834qjbD5WeA2y71Quf/phP29e3oqGgb41HGX1Mho1wfj9n7AvHI/15fuwY1P5AywLe+Ec7JVLCgvvF1yMUQcWpPf1M+g3NIhNa7M5sCcPgJRkF8vmZdBvaBDBIXW3572IiIiISF1yzt9+/vnPfwKFlf+XXnqpxLazYRgGn3/++VmPK/rF4ciRI2U+fvToUeDMPd9/e5yi4vtvFW3Py8s76xhFRETE+zQO9uPxkc2YveMkH244Tp7LZky7+l5XcP81o2VbzClPwOZ1hcX3w/vLH5CVgf35W9iLv8ecdDtGpx7nJc6aZJoGXXs7CQ4x2RpfuPhuVobFsnkZ9B4URHgj7//xQURERESkrjvnq/6iqf9hYWGltp0PnTp1AiA+Ph7LsjDN07fuZmdns337dvz8/Gjbtm25x+nYsSMOh4MjR45QUFBQ3Ly/yMGDBwFKLBgrIiIidZtpGIzrEEbPqGCmb0rmhm7ef51gGAZ06YXZqTv2ikXY33wCKRXcAnrkINZ/HoNufTEn3orRuOq3adYGhmHQukMAgcEm61ZkYbkgP89mxeIM+g4OolET7/1hRkREREREqqHo/uqrr1Zqm7tERkbSrVs34uPjmTt3LmPGjCl+bPr06eTm5jJq1CgCAgr7qxYUFHDs2DEcDgeRkZHF+4aGhjJgwACWLVvGjBkzuOaaa4of27hxI/Hx8QQGBtK9e/fz9txERESkdogO9eOhQaULyadyCnht5VFu6dmIJiF+ZYysvQzTgTFwJHbvwdjzvsWe8wXk5pQ/KH4V1uZ1GCMvxbhkEkZg2XcYeosmTf0YNNxk1bJMcnNsgoJM6jdUixkREREREW/nFfe33nbbbUydOpX33nuPTZs20bRpU3bt2sWWLVto0qQJ1157bfG+KSkpPPTQQ0RERJT6ceDmm28mISGBmTNnsm3bNlq3bk1ycjKrVq3CNE3uvPPOM7afEREREfk127Z5beVRVh7KYMORTG7p2YiL29avcHH32sbw88cYOxF74AjsmR9hxy0of4CrAPvHr7HjFmKMvwFj8CgM03sL0fUb+jB4VAjxq7Po2tuJn58WVBURERER8XZeUXSPjIzkqaeeYvr06WzYsIH169fToEEDxowZw8SJEwkODq7UcerVq8e///1vvvzyS1atWsXOnTtxOp307NmT8ePHawFVERERqbT9p3JZfTgDgFyXzRurj7HmcAb39W9CfadXXIKVYNRviHHrg9jDL8Ga9j/Yvb38Aemp2B+9ir1oDuY1d2C063x+Aq0BgUEmA4aVfT3qctk4HN71Q4yIiIiISF1n2LZt13QQdU1iYmJNh+DRitYESE6uoD+sSC2j3BZvpvwu264T2bwcd4SDqacXYq/n7+AP/SPp2zSkBiNzL9u2sVctwf7yAzhZyZzoNRBzwi0Y4Y3dG9xZcmduH9qXx47NOfQdGkRIqPfO9hfPpc9u8VbKbfFmym/xVp6Y21FRVV+L6pynWb322mvnegigcMGpu+++u1qOJSIiIuIJ2jZ08uKYGD7acJxvt58EIDXXxZOLD3NRm/rc2qsRAT7e127EMAyMfhdgd++H/cNM7LkzIT+v/EFrl2PFr8YYfQXGmKswApznJ9gacuJ4AfGrs7AsWDYvnT6DgghvrAVWRURERES8wTkX3RcvXlwdcQCo6C4iIiJex89hcluvxvSKCubluCOkZBcAMDfhFJuOZTJ5UBRtG3pngdnwD8C4/DrswRdif/k+9uql5Q8oyMeeMx17+TyMK2/G6HcBhul9P0oAFOTbFLX3L8iHFYsz6drbSfNW/jUbmIiIiIiInLNzbi/zxRdfVFcsTJw4sdqO5cnUXqZ8nng7iUh1UG6LN1N+V056rovXVh1l+YH04m2mAS+NiSGmQUANRnZ+2Lu2Yn3+Pziwu3IDWrYr7Pfeqr17AyuHO3P7VEoBq5dlkpN9+nK8TUd/OnQJ8LoFd8Uz6bNbvJVyW7yZ8lu8lSfm9rm0l1FP9xqgonv5PPGPTKQ6KLfFmym/K8+2bRbuTeOt1cfILrAY1DyEPw2OqjNFVtuysJfPx/7qI0g7VakxRv9hhTPfGzR0b3BlcHduZ2dZrFqaQdopq3hbk6a+9OgXiMOnbuSE1Bx9dou3Um6LN1N+i7fyxNw+l6K7d96vKyIiIuKhDMNgRKt6vHxJDAObh3B338g6U3AHMEwTc/CFmE+8gXHxVeBTcbdDe8UirL/fhTVrGnZe7nmI8vxxBpoMGhFCoyanX4cjh/JZvjCD3ByrnJEiIiIiIuKpVHQXERERqQGNg/14eEg0If6OEttzCyzeWXuMtFxXDUV2fhjOQMyrbsb856vQvX/FA/Jysb/5BOvRe7HXLMObbtb08TXoOziIlm39iredSnGx9Kd00lO9Ow9ERERERLyRiu4iIiIiHuSD9Ul8u/0k98/ey/ojmTUdjtsZjZrguPevmJMfh+gWFQ84kYT15rNYz/8V+8Ae9wd4nhimQeeegXTu4YRfbnzIzrbJytJsdxERERGR2qbi+3krMGnSJACio6N58cUXS2w7G4Zh8Pnnn59rOCIiIiK11oHUXGbvPAXAyewC/rHgIOPaN+DG7hH4+3j3XAmjYzfMqf/BXjoX+5tPICO9/AE7t2A98RDG4AsxrrgJIyT0/ATqZi3b+RMYbLI2LpPYrk4aN/Gt6ZBEREREROQsVdu3t3O9xdebbhEWERERqYrm9fyZOqwp9QJOt5z5bsdJ/vjDPvaezKnByM4Pw+HAHDYW84k3MUaOA7OCS1Xbxl76Y2G/90XfY1ve0YqlcZQvI8aGEtPWv6ZDERERERGRKjDsc6x2Hz9+HACHw0FYWFiJbWcrIiLiXEKpNRITE2s6BI/miasVi1QH5bZ4M+V39TqVU8ArK46y+nBG8TYfE67vFsH4jmGYdWThVfvIQazp78DmdZUb0KIN5nV3YrRqX20xeFJu52Rb7EvIpV2nAEyzbuSAuJcn5bdIdVJuizdTfou38sTcjoqKqvLYcy66y9lT0b18nvhHJlIdlNvizZTf1c+2bX5MSOWdtcfIdZ2+XOvcOJAHBzQhIqjutB2xN63BmvYOHDtcqf2NwRdiXHkTRki9cz63p+R2Qb7N8oUZpJ500TjKh54DgvDxUeFdzo2n5LdIdVNuizdTfou38sTcPpeiu3c3BxURERGppQzD4KK29XlpbEvaNgwo3r75WBYPzN7L/lO5NRjd+WV06Y35j//DuPo2cAZVuL+97Cesv9+NtXCO17Sc2b8nl9SThc/lWGIByxdkkJujRVZFRERERDzReSu6JyUlkZCQQEJCAklJSefrtCIiIiK1WnSoH0+PbsHVnRtS1FGkeX1/mob61Wxg55nh44t54eWYT76BMfQiqKjFTlYG9qdvYD35R+zd289PkG7Uqp0/bTqe7vGeetLFsnkZZKR7x48KIiIiIiLexMedB09KSuKrr75i5cqVZGZmlngsKCiI/v37M378eBo1auTOMERERERqNR/T4PpuEfSMCuLN1cd4aGATHHW0p7cRUg/jxnuxh4zG+vRN2Luz/AEHdmM9/WeMQaMwrrq5WlrO1ATDMOjY1Ykz0GTTumywISvTYtm8DPoOCSIs3K2X9SIiIiIichbcNtM9Li6OKVOmsGDBglIFd4DMzEzmz5/PlClTiIuLc1cYIiIiIl6jY0QgL42JoXFwyVnuLsvm+50nyXfVnaV6jJi2mH95FuOmP0BwSIX72z/Pw/r7XVgLZ9fqljMxbfzpMygI01H47/w8m7hFGRw5lFezgYmIiIiISDG3TIlJSEjg//7v/7Asi6ioKC699FJiY2MJCwvDtm1OnTrFli1bmD17NocPH+b//u//aNy4Ma1atXJHOCIiIiJewyijrcpX21L4aMNx5iacYvKgKJrX8y9jpPcxTBNjyGjsngOwv/oIe8lcsMv54SErE/vTN7GX/YR53V0YrTucv2CrUWS0LwOHB7NqaSZ5uTaWC9b8nEXnHjYt29WN915ERERExJO5Zab7zJkzsSyLrl278uyzzzJy5EiaNGmCv78/AQEBREZGMnLkSJ599lm6du2KZVnMmDHDHaGIiIiIeLVDqbl8Gn8cgL0nc5ny/T5m7UjBLq/47GWMoBDMG+7B/NsL0LJdxQMO7MF6+s9Y772MnXbK7fG5Q4OGPgweFUxQ8OnL+c3rszm0TzPeRURERERqmluK7jt27ADgjjvuwNfX94z7+fj4cPvtt5cYIyIiIiKVFxXqxy09G+H7S4/3PJfN/9Yk8c+Fh0jJLqjh6M4vo0WbX7WcCa1wf3v5fKy/3421YBa2q/a1nAkKdjBoZDANGhb2mgmLcNCk2ZmvvUVERERE5PxwS9E9Ly+PwMDASi2Q2rhxYwIDA8nPz3dHKCIiIiJezTQMxnUI44UxMbRscLq1yPojmdw/ey8rD6bXYHTnn2GamENGYz7xOsawsVBGO54SsjOxP3sL64nJ2Albz0uM1ck/wKT/sGBativs9e5w1M0FdkVEREREPIlbiu6RkZHk5uZWqpCel5dHbm4ukZGR7ghFREREpE5oUd+f5y5qwRUdwygqu6bnuvj3ksO8tvIoOQVWjcZ3vhlBIZjX34X5txehVfuKBxzai/XMX7De/Q922kn3B1iNfHwMOvdw4udf8tLetm3ycuvW+y4iIiIi4gncUnS/4IILcLlc/PTTTxXuO2/ePFwuF8OGDXNHKCIiIiJ1hq/D5Hc9G/Gvkc1o6PQp3j434RSTv9/HkfS61+/baNEa8+FnMH53f+VazsQtwPr7PVjza2fLmV/bvT2XRT+kk3qybrUZEhERERGpaW4pul9yySX07duXjz76iK+//pq8vNJf8PLy8vj666/56KOP6Nu3L2PGjHFHKCIiIiJ1TtfIIF6+pCUDm4cUb7NtaPCrQnxdYpgm5qBRmE+8gTF8LBgVXAJnZ2J//hbWEw+RtzX+/ARZzQ7vz2Pbxhxyc2x+XpBB0hG1chQREREROV8M27btcznAa6+9dsbHVq9eTVZWFv7+/rRu3ZoGDRoAcPLkSXbv3k1ubi6BgYH06dMHwzC4++67zyWUWiMxMbGmQ/Bo4eHhACQnJ9dwJCLVS7kt3kz57Zls22bBnlTeXZfEP0c0p03DgJoOySPYB3Zjffom7N5eqf0Dho0hb9w1GKEN3BxZ9UlOKmDNskzy8wsv9Q0DuvZ20ryVfwUjpS7RZ7d4K+W2eDPlt3grT8ztqKioKo8956L7pEmTzmV4CdOmTau2Y3kyFd3L54l/ZCLVQbkt3kz57dmy8l0E+jpKbLNtmx3JOXSIcNZQVDXLtizsuIXYX74P6akVD3AGYlx+PcawsRgOR4W7e4L0VBcrlmSQk3X6cr9dJ3/adQrAqGiBWakT9Nkt3kq5Ld5M+S3eyhNz+1yK7ud8j/GECRPO9RAiIiIi4ka/LbgDLN6XxkvLjzCiVSh39G5c5j7ezDBNjEEjsbv3w/7mE+xF34NdzqKj2VnYn/8Pe+mPmNffjdE29vwFW0Uh9RwMGRXCyiUZpJ0qfG47t+SSnWXTtbcT01ThXURERETEHc55prucPc10L58n/rIlUh2U2+LNlN+1y7GMPB6YvY/sgsJCbGSwL5MHRdE+vG7OegewD+zB+vSNSrecMQaNxLjqdxgh9dwc2bnLz7dZ83MmycdOL6gaEelD74FB+Piq8F6X6bNbvJVyW7yZ8lu8lSfm9rnMdHfLQqoiIiIi4rmC/Rz0axpc/O+jGfn85cf9fL4pGZdVN+djGM1bYf75aYxbHoBKFNLtn+dj/f1urCU/YFvlzJD3AL6+Bv2GBtEsxq942/GjBfy8IIOcbM+OXURERESkNlLRXURERKSOCfJz8NCgKCYPbEKgb+HloGXDZxuT+etPBziWkVfDEdYMwzQxB47EfOJ1jBGXglHBpXJWBvZHr2E9/Wfs/bvPT5BVZJoG3fo6adfp9EKqGekucrJUdBcRERERqW7npb3MqVOnSElJITc3l/JOFxvr+b0xq4Pay5TPE28nEakOym3xZsrv2utYRh7/WX6Ercezi7c5fUzu6tuYC2JC6/SCm/bBvTimv0P+9o0V72yYGMPHFi62Ghjk/uDOwYE9uWxam02vgUFERvvWdDhSg/TZLd5KuS3eTPkt3soTc/tc2su4rehuWRazZ8/mxx9/JCkpqeJADIPPP//cHaF4HBXdy+eJf2Qi1UG5Ld5M+V27uSybL7ee4LONyfy6u8yQFiHc1TeSYL+6tcjqrzVs2JCcRT+Q9t7/QXpqxQPqNcCYeCtG36Ee/YNFdpaFM1A3vdZ1+uwWb6XcFm+m/BZv5Ym57XE93S3L4tlnn+Xjjz8mKSmJwMBAoLCwHhYWhq/v6Rk1/v7+hIeH07BhQ3eEIiIiIiIVcJgGV3cO55nRLWgScvo6bePRLApcdbPHexHDMHAOH1PYcmbYWKiokJ56EvvtF7BenIp95NB5ibEqyiq4p6e52Luz/DtTRURERESkYj7uOOiiRYtYv3499evX56GHHqJDhw5MmjSJevXq8frrr2NZFtu3b2fatGns3r2bq6++mgsuuMAdoYiIiIhIJbULd/LSmJa8vfYY83ancv+AJtR3uuVysdYxAoMxrr8Le9BIrI9fh/0J5Q/YvhHrn/djXHQFxtirMfz9y9+/huVkW6xcnEF2lk1mhotO3Z0YpufO1BcRERER8WRumem+dOlSAG688UY6dOhQ+qSmSWxsLI899hixsbG88cYb7Ny50x2hiIiIiMhZcPqa3Ne/CS+NiaF3dHCpxzNyXTUQlecwYtpi/vU5jOvvAmcFvdtdBdhzvsB67F7s+FXnJ8Aq2rklh+yswhnue3flsWZ5FgUFmvEuIiIiIlIVbim6HzhwAIC+ffuW2G5ZVsmTmyY333wzlmXx3XffuSMUEREREamCVmEBpbZtPJrJbV/v5seEU3W6BYlhOjCHjcV84jWMAcMrHnAiCeuVJ3C98gR28jH3B1gFnXo4adLsdGuho4fziVuYQW6OVc4oEREREREpi1uK7jk5OQQGBuLn51e8zdfXl+zs7FL7RkdH43Q6NdNdRERExIOl57r4z/Ij5BRYvLryKE8vPUxaXZ/1HtoA89aHMP/4b2jSrOIB8auwHrsXa84X2AX57g/wLDgcBr0GBNK6/ek2OKdSXCybl0FGet1+n0VEREREzpZbiu716tUjJyenxMz20NBQ8vPzSUlJKbGvZVnk5eWRkZHhjlBEREREpBqk5bpw+p6+dFxxMIMHZu9lw5HMGozKMxjtO2M++jLGVTeDXwW92/PysL/6COufD2Bviz8/AVaSYRjEdnfSuacTfmnnnpVpsWxeBinHC2o2OBERERGRWsQtRfeIiAgsy+LkyZPF21q2bAnAqlUl+1muW7cOl8tFvXr13BGKiIiIiFSD6FA/XhwTw5i29Yu3pWQX8NiCg7y3Lol8V91uQ2L4+GBefBXmv16DHv0rHnD0ENaLU7HefgE79WTF+59HLdv602dQEKaj8N/5eTZxizJIPJhXs4GJiIiIiNQSbim6d+nSBYCNGzcWbxsyZAgAn376Kd9++y0bN25k1qxZvPrqqwD06tXLHaGIiIiISDXx9zG5q28kf7+gKfX8HcXbv96Wwp/m7udAam4NRucZjIYROO75K+Z9UyG8cYX72ysXY029G2vBLGzLc9q4REb7MnB4MH7+hVPeLQvWLs/iRJJmvIuIiIiIVMQtRfd+/foRHBzMunXrirf179+fPn36kJubyyeffMKTTz7JRx99RFZWFpGRkUyaNMkdoYiIiIhINevTNJiXL2lJzyZBxdv2nsxlyvf7+G57ClYdXmS1iNG1D+Y/X8G4dBL4+JS/c3YW9mdvYT05BXvPjvMTYCU0aOjD4FHBBIUUfmWIauZLWISjglEiIiIiImLY9vn7VmRZFvPmzWPFihWcOHGCwMBAunbtyrhx4wgODj5fYdS4xMTEmg7Bo4WHhwOQnJxcw5GIVC/ltngz5XfdZNs2c3aeKmwvYxVeUvo7DF65tBWNgn1rOLrqUR25bR89jPXpG1CZHu6GgTHkIowrb8QICqnyOatTXq7Fzq25dOwagMNh1HQ4Uo302S3eSrkt3kz5Ld7KE3M7KiqqymMrmHZTvUzTZPTo0YwePfp8nlZERERE3MAwDC5p34DOjQN5aXkie0/mcluvxl5TcK8uRmQ05kP/wl7zM/a0tyE15cw72zb2kh+w1y3HmHALxoDhGKZbbk6tND9/k849nKW2W5ZNQb6Nn3/NxiciIiIi4ml0hSwiIiIi56RFfX+eu6gF9/WPZHSbeqUed1lqN2MYBmafwZiPv4Yx6jIwKrgMz0jDfv9lrOf+in1o33mJ8WzYts3mddks/SmDjDTP6UUvIiIiIuIJzlvRPSkpiYSEBBISEkhKSjpfpxURERGR88DXYTKqdX0Mo2T7kX0nc7hv9l62JGXVUGSexXAGYk66HfPvL0LrDhUPSNiK9fiDWNPfwc7xnNdw9/Zc9u/OIyvTYtn8DE4c1wKrIiIiIiJF3NpeJikpia+++oqVK1eSmZlZ4rGgoCD69+/P+PHjadSokTvDEBEREZEakO+yeHH5EQ6n5fG3nw5wRWwY13WNwFd9wTGat8L889PYP8/D/vIDyEw/886Whf3TN9irl2JcfTtG70Glftw430LqOXA4wOWC/DybFYsy6NEvkKjmfjUal4iIiIiIJ3DbTPe4uDimTJnCggULShXcATIzM5k/fz5TpkwhLi7OXWGIiIiISA05mJrHiax8AGxg5tYU/jR3HwdSc2s2MA9hmCbmkNGYj7+OMaQSax6dSsF+61mslx7FPnrI/QGWo3GULwNHBOMfUFj8tyxYG5dFwvYcbFvthERERESkbjNsN1wVJyQkMHXqVCzLIioqiksvvZTY2FjCwsKwbZtTp06xZcsWZs+ezeHDhzFNkyeffJJWrVpVdygeKTExsaZD8GieuFqxSHVQbos3U37LmZzIyufluCPEHz3dGsXPYXBT9wguad8As4ZnbFfkfOa2vXs71sevw6G9Fe/s8MG46EqMsRMx/P3dHtuZZGW6WLk4k4x0q3hbTBs/OvVwYpqe/d6KPrvFeym3xZspv8VbeWJuR0VFVXmsW2a6z5w5E8uy6Nq1K88++ywjR46kSZMm+Pv7ExAQQGRkJCNHjuTZZ5+la9euWJbFjBkz3BGKiIiIiNSghoG+/GNEM27r1QjfX4qweS6bt9cm8c8FB4tnwgsYrTtg/v1FjEm3Q4Cz/J1dBdhzpmM9di/2hpXnJ8AyBAY5GDQqmLAIR/G2fQl5rPk5k4ICzXgXERERkbrJLUX3HTt2AHDHHXfg6+t7xv18fHy4/fbbS4wREREREe9iGgaXdQjjhTExtGxwelb2hqNZPDB7Lz8fSKvB6DyL4XBgjroM8/HXMPoMqXjAiSSsV5/E9d/HsY8fdX+AZfDzM+l/QTDRzU9f9x9LLGD5ggxysq1yRoqIiIiIeCe3FN3z8vIIDAys1AKpjRs3JjAwkPx8zXISERER8WYt6vvz3EUtuDI2jKLGI+l5Fs8vS+RIel6NxuZpjPoNMX//J8zJj0NkdMUDNq7GeuwPWLOmYdfAdbXDYdCjfyBtOp7+USU7y8Ll0mx3EREREal73FJ0j4yMJDc3t1KF9Ly8PHJzc4mMjHRHKCIiIiLiQXwdJjf3aMQTo5oTEegDwIRODWkS4lfDkXkmo2M3zMf+D+OKG8GvgtcoPw/7m0+w/nEf9pb15yfAXzEMg45dnXTp5cTHB/oNCSIo2FHxQBERERERL+OWovsFF1yAy+Xip59+qnDfefPm4XK5GDZsmDtCEREREREP1LlxIC9f0pJrujRkUpfwmg7Hoxk+vphjJ2L+6zXo3r/iAUmJWP95DNcbT2OnnP+FqGLa+DPy0lDqN/Q57+cWEREREfEEbim6X3LJJfTt25ePPvqIr7/+mry80rcL5+Xl8fXXX/PRRx/Rt29fxowZ445QRERERMRDBfk5uLZrBD6mUWL7iax8ps4/wIHU3BqKzDMZDRvhuPevmPdNhfDGFQ9Yuxzr0Xuw5n6FXVDg/gB/xc+/9NeME8cLSNieg22r5YyIiIiIeLdznn7y2muvlbnd6XQSEBDAZ599xsyZM2ndujUNGjQA4OTJk+zevZvc3FwCAwNxOp288cYb3H333ecajoiIiIjUYpZt83LcETYezWLK9/u4qXsEl7RvgGkYFQ+uI4yufTA7dMX+/kvsH76EgnJaOubmYM94D3v5fMzr78Jo1/n8Bfor6WkuVi/LJD/PJivDonNPJ6ap91REREREvNM5F90XL15c4T65ubls3bq1zMeysrKKj6Giu4iIiEjdtu9kLluTsgHIc9m8vTaJNYczuH9AExoG+tZwdJ7D8PPHuPw67AHDsD57CzavK39A4gGs5/6K0X84xsTfYYQ2OD+B/iJhWw75eYUz3PfvziM7y6LXgCB8fFV4FxERERHvc85F9wkTJlRHHCIiIiIitAoL4IUxMby0PJG9Jwvby2w4msX9s/dyT79IBjUPreEIPYvRKArz/sdgfRzW52/DyfJ7uNsrFmLHr8IYfz3GsDEY5vlZ6LRr70BsK4vDBwpn5ScdKWD5wgz6DgkiwOmWjpciIiIiIjXGsNVU8bxLTEys6RA8Wnh44WJqycnnf+EvEXdSbos3U35Ldct3WXy6MZmvtqbw64vV4S1DuaN3Y4L8zk+xuDbltp2TjT1rGva8b8DlqnhA89aFLWdatXd/cIBt22zflEPCttO9+p2BBv2GBhNS7/y8n1JSbcpvkbOh3BZvpvwWb+WJuR0VFVXlsZpWIiIiIiIex9dhcnOPRjwxqjkRgadvzly4N40H5+xlS1JWDUbnmYwAJ+aE32E++jJUpnf7gd1YT/8Z68NXsDPS3B+fYdCxq5OuvZ0UtejPzrL5eX4Gx4+W05deRERERKSWUdFdRERERDxW58aBvHxJS4bFnG4rk5RZwN9+OsCB1NxyRtZdRlRzzD8+iXHbZAitX/7Oto299EesqXdjLf0R27LcHl+L1v70GRKE45ffUvLzbVYuyWTfLr2fIiIiIuIdzrmne3kKCgpYtmwZcXFx7Nmzh4yMDACCg4Np1aoVAwYMYPDgwfj4nHsYJ06cYNq0acTHx5Oenk6DBg3o06cPEyZMIDg4uErHXLJkCa+88goAd955JyNHjjznOEVERETk7AT5OXhoUBR9mgbz+qqjZORZjGxdj+b1/Gs6NI9lGAZG/2HYXftgf/sp9oLZYJdTUM9Ix/7wFexlP2FefzdG81Zuja9xE18GDg9m9bJMcrJtbBs2rcsmtIGDsHC3fkUREREREXE7t13RHj16lOeff56DBw+WeiwtLY0NGzawYcMGZs+ezZQpU4iMjDync02dOpXU1FR69+5NdHQ0CQkJzJkzhw0bNvD4448TEhJyVsdMTk7m3XffJSAggJycnCrHJiIiIiLVY3CLUDpGOPkkPpnbejWq6XBqBSMwCOOaO7AHjsT69A3Yvb38AXt2YD0xGWPYxRiXX48RdHbX0GejfpgPQy4MYdXSTFJPumjdwV8FdxERERHxCm65qs3KyuLxxx8nOTkZh8NB//796dy5M2FhYQCkpKSwefNmVqxYwYEDB3jiiSd47rnncDqdVTrfO++8Q2pqKrfccgtjxowp3v7BBx8we/ZsPvvsM37/+99X+ni2bfP6668TEhJC3759+e6776oUl4iIiIhUr4aBvtw/oEmp7Rl5Lv6zPJEbukUQ0yCgBiLzbEbzVph/fhr753nYMz+AjPQz72xb2AvnYK9eijH+RowhF2KY7lnoNMBpMnBEMPsTcmnVTncuiIiIiIh3cEtP91mzZpGcnEx4eDjPPvss999/PyNGjKB79+50796dESNGcP/99/PMM88QHh7O8ePHmTVrVpXOdezYMeLj44mIiOCiiy4q8djVV1+Nv78/S5cuPavZ6t9//z2bN2/m7rvvxt9fF/8iIiIinu6dtUmsPpzJlB/2MX1zMi7LrumQPI5hmphDRmM+/jrG0IsoXs30TDLSsT9+DevJKdgJW90Wl4+PQesOARhmyXjy821OHC9w23lFRERERNzFLTPdV69eDcDdd99N06ZNz7hfs2bNuOuuu3jiiSdYtWoVEydOPOtzbd68GYBu3bphmiV/Q3A6nXTo0IH4+Hh27dpFly5dKjzeoUOH+OSTTxgzZgyxsbHFxz8bDz/8cJnbn3nmGQDCw8PP+ph1SVGPf71O4m2U2+LNlN9Sk46m5bBsf+HM7QILPolPZu2RHP4+uh0tGwae07G9MrfDw+Ghx8i/ZCJpbz5HwZ4d5e9/YA/WM38h4IKLCL7pHhxhEW4P0bJs5s85wuGDWfQfEkGHzvXcfs66yCvzWwTltng35bd4K2/LbbfMdD927Bj+/v507ty5wn27dOmCn58fx44dq9K5EhMTAWjSpPRtxkBxr/gjR45UeCyXy8Urr7xCeHg41113XZXiEREREZHzKzI0gPev605s5On+49uTMrj1s/V8svaQZr2fgW+7WMKefZuQO6ZgBAZXuH/O4rmcuPdaMr/6GDs/362xxa85yaH9WdgWxC0+zoolx7H0PoqIiIhILVHrVyrKysoCIDCw7FlMRdszMzMrPNaMGTPYu3cvjz/+OH5+flWOqWhG+5kkJydX+dh1QdEvWnqdxNsot8WbKb+lpgUBTwyP4uttKXy6MZkCyybPZfPasn3M336U+wc0oWno2bcNrBO53fcCjA5dYeaH2D/PL3dXOyeLjA9fI2PuN5iTbsfo0sstIYVHWtRr4CD1pAuAbZtSST6eSa8Bgfj6uWXeUJ1UJ/Jb6iTltngz5bd4K0/M7aioqCqPdcsVa+PGjcnNza1Ua5ZNmzaRl5dH48aN3REKtl04I8aooGdlQkICX331FePGjaNdu3ZuiUVERERE3MdhGlzVqSEvjYmhddjpxVR3JOfw0Jx9fLMtBcvWbOmyGKENMH/3AOYjz0FM24oHHDuM9X//xPXKE9hJFd9ReracgYULrDZp6lu87fjRApbNyyAz3VXt5xMRERERqU5uKbr36dMHgNdff51Dhw6dcb99+/bxxhtvANC3b98qnatoJnvRjPffys7OLrFfWVwuF//9739p0qQJkyZNqlIcIiIiIuIZmtf359mLWnB913B8frnazXPZvLsuiZUHM2o2OA9ntGqP+chzGDffByGV6KMevwrrsXuxvvoIOzenWmPx8THoNTCQtrGn71DISLdYOi+D5GPubW8jIiIiInIu3NJeZty4cSxevJjk5GT+/Oc/06dPHzp16kRYWBgFBQUcP36cLVu2sH79egAiIiK49NJLq3Suomn+Z+rZfvToUeDMPd8BcnJyisdff/31Ze7z5ptv8uabbzJ27Fh+97vfVSlWERERETk/fEyDq7uE06dpMC/HHWHvyVx6NAmif7OKe5fXdYZpYgy+ELvnAOzvPsdeMAss68wDCgqw53yBHbcQY+ItGL0HV3iXaaVjMQw6dHESEupgw6osLAvy82xWLM6kSy8nLVqffcsgERERERF3c0vR3el0MnXqVF544QUOHDjAihUrWLFiRZn7Nm/enClTpuB0Oqt0rk6dOgEQHx+PZVmY5unJ+9nZ2Wzfvh0/Pz/atj3zbbK+vr6MGDGizMf27t3L3r176dChA1FRUWo9IyIiIlKLtGwQwHMXxTBz6wlGtq5Xqhhs23a1FYi9jREYjDHpduzBo7E+fwu2byx/wMlk7Leew170Pea1d2A0bVltsUS38CMw2GT1skxyc2xsGzauKbyjVYV3EREREfE0bltINTIykqeeeorly5ezYsUK9u7dS1paGgChoaG0bNmS/v37M3DgQHx8qh5GZGQk3bp1Iz4+nrlz5zJmzJjix6ZPn05ubi6jRo0iIKCwr2dBQQHHjh3D4XAQGRkJgJ+fH3fddVeZx58+fTp79+7lggsuYOTIkVWOU0RERERqhq/DYFKX8FLb8102U+cfYHjLeoxuU7ogL4WM6OaYkx+HdXFY09+BlOPlD9i5GetfD2EMG4Nx+XUYQSHVEkeDhj4MuTCEVUszSTvlIijEJKqZb8UDRURERETOM7cU3Yv6qwcEBDB06FCGDh3qjtMUu+2225g6dSrvvfcemzZtomnTpuzatYstW7bQpEkTrr322uJ9U1JSeOihh4iIiODVV191a1wiIiIi4rmmb05m2/Fsth3PZvmBNP7QvwkRQSrilsUwDOg1ELNzL+wfvsT+4UsoKKevum1hL5yNvXoJxhU3Ygy+EMN0nHMczkCTQSOD2bwumzYd/fH1c8sSVSIiIiIi58QtV6m33HILt956KykpKe44fClFs+qHDRtGQkIC3333HceOHWPMmDE8+eSThIRUz+waEREREfEO+S67xKKqG45mcf/svczbfQrbtmswMs9m+PtjXn4d5r9ehR79Kx6QkY790WtYT/4RO2FbtcTg42PQvW8gwSGli/hZmeX0nhcREREROU8M2w3fKm6++WZM0+S9996r7kN7hcTExJoOwaOFhxfe/p2cnFzDkYhUL+W2eDPlt9RGuQUWn25M5pttKfz6grhXVBD39oukYaCvcrsC9tb1WJ/9D44eqtT+Rv9hGFf9DqN+WLXHcmh/HhtWZdG1l5PmrdTnvTKU3+KtlNvizZTf4q08MbejoqKqPNYtM90bNWpEXl4eLpfLHYcXERERETln/j4mt/RsxFOjmxMVcrqtzNrETO6bvZeFe1I1670CRmwPzMf+D2PirRDgrHB/e8UirL/fjTV3JnZ57WnO0skTBcSvysK2IH51NlvWZ2Nbeu9EREREpGa4peg+YMAACgoKWL16tTsOLyIiIiJSbTpGBPKfsS0Z175B8bbMPIv/xB3hkVnbOJGZV4PReT7Dxwdz9HjMJ97AGDiy4gG52dgz3sf6x/3Ym9dWSwz+ASbBoae/2uzZmcuqZZnk56vwLiIiIiLnn1uK7pdddhmtW7fmrbfeYtOmTe44hYiIiIhItfH3Mbm9d2OeHNWcxsGnZ70v3ZPCd1uO1mBktYdRrwHmLQ9g/uVZaNGm4gHHDmO9/E9crzyBnXTknM4dGGQyaEQIkdGn37ukIwUsm5dOZobuvhURERGR88stPd1nzJhBXl4ec+fOJScnhxYtWtCuXTtCQ0MxzTPX+SdMmFDdoXgk9XQvnyf2cBKpDspt8WbKb/Em2fkWH6xP4vtdp2gbEcT/JnUj9WRKTYdVq9iWhf3zPOyvPoL01IoHOHwwRlyCcckkjKDgqp/Xttm+KYeEbbnF2/z8DXoPCqJhhE+Vj+ut9Nkt3kq5Ld5M+S3eyhNz+1x6urvlyvOLL74o8e/9+/ezf//+CsfVlaK7iIiIiHgup6/JXX0jGdA8hBaNw/F1lJw0kpHnIsjXxDCMGorQ8xmmiTFkNHavgdjffoa9cDZY1pkHuAqwf/oG++f5GOMmYQwbi+Hje+b9z3Rew6BjVychoQ7iV2dhWZCXaxO3KEMLrIqIiIjIeeOWovvQoUP1JUREREREarVukUGEhweV2GbZNv9efAjTMLinbyRRoX41FF3tYAQGY1xzB/aQ0VifvQU7Kmg9mZWBPe0d7AWzMa/6HfQcUKXvFU1j/AgMNlm9LJO8XLt4gdXsLIv2nSte8FVERERE5Fy4peh+7733uuOwIiIiIiI1av7uVLYkZQNw/+y9TOrSkPEdG+Lr0IST8hjRLTCnPAHrlmNNfxdSjpc/4PhRrDeehjaxmFffitGy3VmfMyzchyEXhrB6aQZpqRYY0KChWsyIiIiIiPu5ZSFVERERERFvlJJdgPlLfT3fsvk4Ppkp3+9j+/Hsmg2sFjAMA6PXIMx/vYZx6TVQmfYxCVux/v1HrLeew04+dtbnDAwyGTQyhMbRPnTq7qRRk7NvWSMiIiIicrbcPtVjx44drFixgr1795KWlgZAaGgoLVu2ZMCAAbRrd/azVkREREREasKkLuH0jg7m1ZVH2Z2SA8D+1Fz+8uN+Lm5bnxu7RxDk56jhKD2b4e+Pcfl12INGYn/1EfaqJRWOsVcvxV4fhzFyHMbYiRiBlV9s1cfXoM+goDIfy82x8A/QPCQRERERqV6Gbdu2Ow586tQpXn31VTZu3Fjuft26deOee+6hfv367gjDIyUmJtZ0CB7NE1crFqkOym3xZspv8VZnym2XZTNrx0k+iT9Oruv05XSY04c7+zSmf7OQ8xpnbWbv3VnYciZha+UGBIdgjLsWY+jFGD5Vn0OUnWWx5Md0opr5EtvdiaMOtgjSZ7d4K+W2eDPlt3grT8ztqKioKo91S9E9KyuLRx55hKNHjwLQrl07YmNjCQsLw7ZtTp06xdatW9mxYwcATZo04amnnsLprBuLGqnoXj5P/CMTqQ7KbfFmym/xVhXldlJGPm+sPsraxMwS2wc0C+ZPg6NxmHWvkFsVtm3D+jisLz+ApCOVG9Q4GnPCzdCt31kvtmpZNssXZnAy2QVA/TAHvQYGERhUt2a967NbvJVyW7yZ8lu8lSfm9rkU3d3SXubLL7/k6NGjhIaG8uCDD9KpU6cy99u6dSsvvfQSR44c4csvv+SGG25wRzgiIiIiIm7RKNiXqcOa8vOBdP635hincn4p4gb4qOB+FgzDgJ4DMbv2wV78A/Z3n0NmevmDjh3GevXf0K4z5sRbMGLaVvp8lgUBThMofL9OpbhY8mM6PfoH0lh930VERETkHLllKsfKlSsBuPPOO89YcAeIjY3lzjvvLDFGRERERKQ2MQyDwS1CefXSVoxuU4+GTh9u7B5R02HVSoaPL+bIcZhPvokxejxUpn3Mzs1YT07BeudF7BPHK3UeHx+DXgMC6dTDSdEk+fw8m1VLMtm+KRvbcksHThERERGpI9xSdD958iR+fn707t27wn179eqFn58fKSkp7ghFREREROS8CPZ3cG+/JvzfpS1LLaaamlPA5xuTyS2waii62sUICsaceCvmv17D6D24UmPsFYuwpt6NNfND7Oysis9hGLRq58/AEcEEOE/flbBray4rlmSSm6P3SkRERESqxi1F99DQUEyzcoc2DAPTNAkNDXVHKCIiIiIi51XwbwruAO+uS+KzTck8MGcv8UczyxglZTEiIjHv/DPmX56F1h0qHpCfh/39DKy/3Ym1aA62y1XhkLBwH4aODiG88elZ9cnHCljyYzopyQXnEr6IiIiI1FFuKbp369aNnJwcdu7cWeG+O3fuJCcnh27durkjFBERERGRGrX9eDaL9qYBcCQ9n0fnH+TluETSclTQrSyjdQfMh5/BvPPPEN644gHpqdifvIH1j/uw41cXLtRaDv8Ak/5Dg2gb61+8LSfbZvmCDNLTKi7ci4iIiIj8mluK7hMmTCAkJIRXX32VpKSkM+6XlJTEa6+9RmhoKBMnTnRHKCIiIiIiNapdeAD39I0kyPf0pfeCPWncO2svi/amVlgQlkKGYWD0HlzYcmbirRAYVPGgo4ewXnkc68Wp2Af2lH9806BDFyd9hwbh61fYbqZZjB8hoaXvXBARERERKY9hu+Eqf+vWrRw9epSPPvqIgoICBgwYQGxsLGFhYUBhz/etW7eyfPlyfHx8uPHGG4mMjCzzWLGxsdUdXo1LTEys6RA8Wnh4OADJyck1HIlI9VJuizdTfou3qs7cTsku4O01x/j5QHqJ7d0jA7mrbyRNQvzO+Rx1iZ2Zjj1rGvbCOeCqxF0DhoHRfzjGFTdiNGhY7q5ZmRY7t+TQpacTh49R7r61mT67xVspt8WbKb/FW3libkdFRVV5rFuK7pMmTaqW4xiGweeff14tx/IkKrqXzxP/yESqg3JbvJnyW7yVO3J71aF03lx9jOSs04ViP4fBNV3CubxjGD6m9xZ53cFOSsT68kNYt7xyA/z8MC4cjzH6CozKzJb/lYJ8m+PH8mnS1Dt+INFnt3gr5bZ4M+W3eCtPzO1zKbr7VLzL2St6kUREREREpKS+TUPo3DiQT+OTmbXjJDaQ57L5cMNxmtXzo2/TkJoOsVYxGkXhuPsv2Lu2Yn3xLuytYF2pvDzs2dOxF32PcdEVGCMuxfAPqPA8tm2zcU0Whw/k06J1AZ16OHE49AOJiIiIiJTmlqL7q6++6o7DioiIiIh4hUBfB7f3bswFLUN5deVR9p7MpVdUEH2ig2s6tFrLaBuL+Zdnsdcsw575IZw489pSAGSmY8/8EPunbzDGTsC4YAyG75lnsB/al8/hA/kA7N+dx6kUF70HBRIYpJ7vIiIiIlKSWxZSFRERERGRirVt6OT5i2P4XY8I7uoTiWGUnDmdkeuqochqJ8M0MfsOxXz8NYwJvwNnJdrHpKdiT3sH6693Yi36Hrsgv8zdmjT1JaqZb/G/U0+6WPJjBscSy95fREREROouFd1FRERERGqQj2lwRWxDGgX7ltie57L409x9/GvhQQ6n5dVQdLWT4euHedGVmE++iTH8EnBUYjb6qRPYn7yO9fe7sX6ej+0q+YOHj69BzwGBdO7hxPjlW1R+ns2qpZls35SNbVX7UlkiIiIiUkup6C4iIiIi4oG+2HyCxPR81iZmcv/sPby3LonMPM18PxtGSCjmdXdi/uO/0L1f5QadSMJ+/2Wsf/wBa9USbMs6fTzDoGU7fwYNDybAefquhF1bc1mxOJPcHKusI4qIiIhIHaOiu4iIiIiIh7Ftm/RcF0Vl3QILvt6Wwt3f7WHe7lNYtmZVnw0jsimOe/+G+ZdnoWO3yg06ehj7f89j/esB7PUrsH/1mjcI92Ho6BDCG59eIis5qYAlP6aTcrygusMXERERkVpGRXcREREREQ9jGAZ39Y3khTExdIxwFm9PzXHx3xVH+eMP+9l2PKsGI6ydjNYdcEx+HHPKE9C6Q+UGHd6P9dq/sZ6cgr15bXHx3T/ApP/QINp18i/eNSfbZufWHHeELiIiIiK1iIruIiIiIiIeqnVYAE9d2Jwpg6JoGHh6VvXulBz+8uMBXvw5kRNZWsjzbBkdumI+/AzmA49BizaVG7Q/Aevlf2I9+xfsHZsKj2MatO/spN/QIHz9DAKcBj36BboxchERERGpDXwq3kVERERERGqKYRgMjQmlb9Ngvtxygq+2ppD/y6Kdi/elselYFm9d3hpfh1HBkeTXDMOAzr0wO/WEDSuxvvkEDu+veGDCNqzn/wYdu2Fefj1G6w40auLL0NEh5OVa+AdoXpOIiIhIXaeiu4iIiIhILRDgY3J9twhGta7He+uOE3cwHYDxHcNUcD8HhmFAj/6Y3fpir1mG/e1ncOxwxQO3xWNti4cuvTHHX09g89YEBpUuuO/cmoPTadI0xrfwXCIiIiLi9VR0FxERERGpRRoH+/GXodFsPJrJnJ2nGNuuQal9TmUXUN+pS/2zYZgmRt+h2L0GYa9YhP3dZ3AiqeKBm9ZgbVoDPQdiXnYdRnTz4oeOJeazY1Nhj/djR3zp0suJv79mwouIiIh4O12Ji4iIiIjUQl0jg+gaGVRq+96TOfzxh/2MblOP67pGEOLvqIHoai/D4cAYNBK731DsZfOwZ0+DUykVD1y3HGt9HEbfoRjjroVGTdi17fSiqkcO5pNyvIBufQJpHOXrxmcgIiIiIjVN0yxERERERLyEbdu8vTaJAstmzs5T3P3tbubsPInrlx7wUnmGjy/msDGYT76JMek2CKlX8SDbxl65GOvRe7A/fIV+nbNp3sqv+OHcHJtVSzOJX5VFfr7eExERERFvpaK7iIiIiIiXyC6wMH/VNjw9z+LN1cd46Pt9bDyaWXOB1WKGnz/mqMsx//0WxpU3QWBwxYMsC3vZT5iP3UWXXR/Sp6cL/4DTb8yBvXks/iGN5KQCN0YuIiIiIjVFRXcRERERES8R6OvgXyOa8cjQaBoHn25hsv9ULlPnH+TpJYc5lpFXgxHWXkaAE3PMBMyn/ocx7hoIcFY8yFWAvXAOES/dydDsr2nS2FX8UHaWTdzCDLasz8ZVoFnvIiIiIt5ERXcRERERES9iGAb9m4XwyqUtuaFbOP6O0zOs4w6mc+93e/kk/jg5BVYNRll7GYFBmJddV1h8v/gq8POreFB+Hr7zv6TH57fTI2cRvj6nX/s9O3PZtDbbjRGLiIiIyPmmoruIiIiIiBfyc5hM7BzO65e14oKY0OLt+ZbN9M0neDnuSA1GV/sZwaGYV92M+e//YYwcBz4+FQ9yuWiy7F2GLHiQiLz9ADh8oG0nfzdHKyIiIiLnk4ruIiIiIiJerGGgL5MHRfH06Oa0CQsAwAAmdGpYs4F5CaNeA8xr7ihccHXoxeBwVDgmIO8UvZdMpfO2d4k9OpvAPeuwbbWYEREREfEWlZiOISIiIiIitV3HiECeu7gFC/akkpiWR+tfCvBFCiybzDwX9QL0FaEqjLAIjBvvwb74SuzvPsdesQjsM7fwMYDmhxfBYbA2ANEtMC6+EqP3EPbsLgAbWrXzx/j1yrgiIiIiUivoilpEREREpI4wDYNRreuX+dgPu07yaXwyV3VqyKXtG+Dvo5tiq8KIiMS49UHsMROwv/sMe83P5Rbfix3ej/3OS6T+MJ9tHSdjY3I0MZ8efQMJDK549ryIiIiIeA5dSYuIiIiI1HFpOQV8ujGZzHyLDzcc585vdjN7x0nyXWp5UlVGk6aYv/8T5hOvY1xwMfj4Vmrc3vr9sX/5mpZy3MWiH9LZvztX7WdEREREahEV3UVERERE6rgT2QXU8z99E+zJHBdvrTnGPd/tYcGeVFyWCr5VZTRqgnnDPZhPv40xZgI4A8vdv8vWd2iz52sMywWAywUb12SzasFJcrIrMWNeRERERGqciu4iIiIiInVcywYB/PfSltzdtzFhztPF96TMfF6OO8L9s/ey/ECaZlufA6NeA8wrb8J8+h2Mq26Geg3K3M+0XbTbM5MBax4nKDOxeHtSssmib5I4vPHI+QpZRERERKpIRXcREREREcHHNLi4bQPeuKwVt/SMIMT/dB/xQ2l5PLM0kSk/7Gfj0cwajLL2MwKDMC++CvOp/2HceC80alLmfvXT9jB45aPEHJhbvC3fCGDdNidrPlxF7o4d5ytkERERETlLKrqLiIiIiEgxfx+T8R0b8tblrbi2SzjOXy2oujslh90pOTUYnfcwfP0wh16E+fhrmHc9DC3alNrHYeURu/MT+q59ioDs5OLtR/zbsXZBMq7n/oq9aa3uQBARERHxMD4V7yIiIiIiInVNoK+Da7qGM7Z9A2ZuOcHsnScJ8nMwtl3ZbVGkagzTAb0GYfYcCNs3Yn0/A7bFl9gn/OQ2hqz4G9vaX8+hqKEYlov2CdMhbS/Wzs3QtCXGxVdi9B6M4XCc4UwiIiIicr6o6C4iIiIiImcU6u/gdz0bMa5DA46k5+PvU/Jm2X0nc5i++QTXdQ2naT3/Goqy9jMMAzp2w9GxG/b+BOzvv8Retxx+mcXu68qm69a3aZy0lszAxtRP23t68KG92G+/gP31xxijr8AYNBLDT++FiIiISE1R0V1ERERERCrUMNCXhoG+pbZ/HJ/M6sMZxB1MZ3jLelzTJZxGwaX3k8ozWrTBuOth7GOJ2D9+hb18PhQUANA4eX2ZYw5HDiQtuDntPn8Hx3efYYy4BGPoRRihujNBRERE5HxT0d2DFRQUkJ2dTV5eXp3q05iSkgKAZVk1HIlI9VJuV41hGPj5+eF0OvHx0X+2REQ8yaG0XFYfzgDAsmH+nlQW70vlorYNmNipIQ2c+tw+F0bjKIwb78Uedy32vG+xF38POdml9sv2D2NL+xsp8A3ieHhXum15k3rffIo9azpGr4EYw8dC646Fs+lFRERExO0Muy5Vcz1EYmJihfsUFBSQmpqK0+nE398f0zTrzEVyUVGt4JfZPCLeQrl99mzbxrIscnNzyc7Opl69eiq8e6jw8HAAkpOTK9hTpHZRblds14lsPo5PZsORzBLb/R0G4zqEcUXHMIL91We8OthZGdiLf8Ce9y2knSrevrPVVSS0urz434ZVQMv939Nm37f4uHILNzaNwRg+FqPvBRgBTkD5Ld5LuS3eTPkt3soTczsqKqrKY1V0rwGVKbqnp6fjcDgIDAw8DxF5FhUmxVspt89NVlYWLpeLkJCQmg5FyuCJF0gi1UG5XXmbjmXy8YZktieXnIkd5GtyRWwYl7YPw+lrnmG0nA07Pw97+QLsuTPh+FFs4ED0CLa3uxaX43Qv94CcFDrs+owmx1ZSPH3HGYgxcCTGBWOI6NIdUH6L99Fnt3gz5bd4K0/MbRXda5nKFN1PnDhB/fr1cTjq3qwgFSbFWym3z43L5eLUqVM0bNiwpkORMnjiBZJIdVBunx3btlmbmMnH8cfZezK3xGMDm4fw8JDoGorMO9kuF/a65dg/fAkH9pDpbMTGTr/nZP12JfYLO7mN2O0fEZp5qMR2v669cV58JemtOmLUwe8d4r302S3eTPkt3soTc/tciu66R99D2baNaWomkIhIEdM069T6FiIitZFhGPSODqZnVBDLD6TzSXwyiel5AIzvGFbD0Xkfw+HA6DMEu/dg2LqBoB++pP+aJzncZBDb21xNnn99AFIadOTnfo/T4tA82u2eUdxyJm/jGvI2roH6DTEuuAhjyEUY9bTwqoiIiMi5UtHdg9WVHu4iIpWhz0QRkdrDNAwGtwhlQLMQFu5NJeFEDu3DnSX2yXfZrD6cTv9mIZj6jD8nhmFApx44OvXAPrCHZovm0HjNo+xqOpb9zS7ENh3YpoNjET1pnzC99AFOncD+5lPsWdMweg7EGDYW2sbqv70iIiIiVaSiu4iIiIiIuIXDNBjVuj6jWpd+7Kfdp3hz9TFa1PfnytgwhrQIxWGqyHuujOatMG76A/4TMui0fAHN4v6PreGjORHWididn+Cw8s882OXCXr0Ue/VSiG6BMWwsRv9hxQuvioiIiEjlqH+JiIiIiIicV7kFFtM3Ffbr3H8ql5eWH+Gub3fz3fYUcgqsGo7OOxiBwZijLqPe3/9B/6FB9Ev9mkbJG0rtt6/ZheT6lrFI+eH92J+8jvWn32F9+iZ24gH3By0iIiLiJVR0F5E6a/ny5URHR/PCCy/UdCgiIiJ1imXDyNb18XecntmelFnA22uTuP2rBD7deJzUHC08Xh0Mw8Ds1J1Gv/8djqf/hzH2agipB8Cx8O5sbX8jiwc+y76mI7GMMr4e5mRjL5yN9dgfcD3/N+y1P2NrUXgRERGRcqm9jIh4jH79+gGwcuXKGo5ERERE3Mnpa3Jj9wgu7xjGnJ0nmb3jJGm5LgDS8yymbTrBV1tTGNW6Hpd3CCMyxK+GI/YORlgExhU3YI+bhGtNHNt3NwOgwDeIrR1u5mD0cDrt+JCwUzvLPsCOTVg7NkH9MIyhF2MMGY1RXwvkioiIiPyWYdu2XdNBVIcTJ04wbdo04uPjSU9Pp0GDBvTp04cJEyYQHBxc4fj09HRWrVrFunXrOHDgACkpKfj4+NC8eXOGDx/OsGHDMM3quTEgMTGxwn2Sk5MJDw+vlvPVNj4+hb8FFWgGTZ1zvovu2dnZHD58mLCwMMLC3P+FUbl97uryZ6OnK3pfkpOTazgSkeql3D4/cgss5u1O5ZvtKRzLKNlzvIHTh3fGt1a/dzfIznCyYmEiGVklX9uoI8vpsOtzAvJOlX8AhwOjxwCMYWOhXSctvCoeQ5/d4s2U3+KtPDG3o6KiqjzWK2a6Hz16lKlTp5Kamkrv3r2Jjo4mISGBOXPmsGHDBh5//HFCQsroU/grcXFxvP322zRo0IBOnToRHh7OqVOnWLVqFW+88Qbr169n8uTJupAU8SJOp5M2bdrUdBgiIiJ1nr+PySXtG3Bx2/osP5DOzK0n2HMyF4Cxbeur4O4mzWKCaHJja1YvT2TX1hxchTcbkNhkIMcietBm7ze0PDAX03aVfQCXC3vNMuw1yyCqOcagURj9LsCo1+D8PQkRERERD+QVPd3feecdUlNTueWWW/jzn//M9ddfz2OPPcYll1xCYmIin332WYXHiIqK4s9//jOvv/46999/P9dddx333HMP//nPf2jYsCErV65Uy4saMG3aNO644w4GDBhA69atad++PZdffjlffvllqX2HDh1KTEwMKSkpZR7rlVdeITo6mvfff7/E9sTERP72t78xYMAAWrZsSadOnfjd737Hhg0bSh3jhRdeIDo6muXLl/PVV19x6aWX0rZt2+IZ2mcbc5ENGzZw7bXX0q5dO9q3b8+kSZNYs2ZNifP9VkJCAg8++CC9e/emZcuWdOvWjXvvvZeEhIQznue3ft3TfM2aNUyaNIkOHTrQrl07rrvuOuLj48scl5aWxlNPPcWQIUNo1aoVsbGxXHfddSxZsqTUvrZtM336dC677DK6dOlCq1at6N27N9dddx3ffPNNiTgOHTrEoUOHiI6OLv7fgw8+WOXn/eCDDxIdHc3+/ft59913GTVqFK1bt2bChAmlnv9v7dmzh/vvv59evXoRExNDz549uf/++9mzZ0+pfSuTFyIiIlIxh2kwJCaUF8fE8M8RzegTHcyYdqULuO+vS2LJvjRcllfctFujfHxM2sYGMHxsKFHNfIu3u3yc7Gh7DUv7/5vjYV0qPlDiAewv3sX60y24Xv4H1srF2Lm5boxcRERExHPV+pnux44dIz4+noiICC666KISj1199dXMmzePpUuXctNNNxEQEHDG43Tu3LnM7fXr1+fCCy/k888/Z+vWrfTv379a45fy/fWvfy0uXjZu3JiTJ08yf/587r//fnbv3s2f//zn4n0nTpzI008/zddff82tt95a6lgzZszAz8+Pyy67rHjbpk2buPbaazl16hTDhg1jzJgxpKSkMHfuXK644grefvttRo4cWepYb775JkuXLmXUqFEMHDiQtLS0KsUMha1UrrvuOvLz8xk7diwtWrRg+/btXH311QwaNKjM12XhwoXcfvvtFBQUcOGFFxITE8ORI0f4/vvvmT9/Pl988QVdulTiy9Ev1q9fzyuvvMLgwYO5+eab2bdvH99//z0rV67k008/LVE8Tk1NZfz48ezcuZPu3bsXv2bfffcd1113HU899RQ33nhj8f5PP/00r7zyCs2bN2fcuHGEhISQlJREfHw8s2bN4vLLL6dZs2ZMnjyZt99+G4Dbb7+9eHynTp3O+Xk/+uijrFq1ipEjRzJixIgKW0Vt2LCBa665hoyMDEaPHk3btm3ZvXs3X331FT/++CPTpk2jW7dupcaVlxciIiJSeYZh0L1JEN2bBJV67EBqLl9tK5xk8dEGX8Z3DGNU63r4+3jFfKIa4ww06TUwiBbH8tm8Lpv0NAuAzKAmHG4+jIiUTZU7kG3B5nXYm9dhBzgxeg7EGDAc2nXGqKZ2nSIiIiKertYX3Tdv3gxAt27dShXSnE4nHTp0ID4+nl27dp1VEfLXivowV1dPd6m8+fPnExMTU2JbXl4eN9xwA6+++io33ngjTZo0AWDChAk8++yzfPHFF6WK7hs2bGDXrl2MHTu2uHd3QUEBd911F1lZWXzxxRcMGDCgeP+jR49yySWX8Mc//pEVK1bg7+9f4ng///wz3377bZk/1pxNzJZlMXnyZHJycvjoo48YMWJE8ZgPP/yQRx55pNTxT506xb333ovT6WTmzJm0a9eu+LEdO3Zw6aWX8sc//pG5c+ee6WUtZeHChTzxxBPccsstxdvmzp3LrbfeyuTJk1m6dGlx/j/55JPs3LmT66+/nmeeeaa45dI999zD2LFjefTRRxk2bBjNmhUuzPXxxx8TGRnJggULcDqdJc5bdFdCs2bNmDJlCtOnTwdgypQp1fq8N2/ezNy5c2nevHmFr4Vt2zzwwAOkp6fz3//+lyuvvLL4sW+++YZ77rmH++67j0WLFpX6TCgvL0RERKR6fLvt9F2NSZn5vLXmGJ9tSubSdg0Y274Bof6OGoyu9gtv7MvQi3zYtyuXHVtysG2IvWkoRt8A7IWzYdfWyh8sJxt7+Xzs5fMhLByj3zCMAcMxmjRz3xMQERER8QC1vuhetChpURHztyIjI4mPj+fIkSNVKrq7XC4WL14MQPfu3Ss15uGHHy5z+zPPPANQqUUAixZyrct8fHzK7Lft4+PDbbfdxs8//0xcXBxXX301UFi4HTJkCIsXLyYhIYEOHToUjylq7TJp0qTi1/Wnn35i37593HPPPQwZMqTEOZo2bcq9997L1KlTiYuLY9SoUcDpH15uvPHGM+bD2cS8cuVK9u3bx6BBgxg9enSJMb/73e94++232b17Nw6HozjumTNnkpqaylNPPUVsbGyJMZ06deKGG27grbfeYvfu3bRv377MGIs4HIVfSlu2bMltt91Wooh8ySWXMHDgQJYvX86aNWsYOHAg+fn5zJw5k6CgIKZOnYqv7+lbkNu1a8ftt9/OSy+9xMyZM4sL54Zh4Ovri5+fX6mcbtSoUYl/FxXwy8r9qjzvoudz77330qpVqzM+f9M0i8+5atUqEhIS6N27d/H7VOSqq67igw8+YOXKlaxdu7b4h5rK5MWv1fW/7XNhmqYWUvVQRXmt90e8jXLb8zw4sh7NwhOZEX+EtJzCxcnTc118timZr7alcGmnxlzTM5omoWe+y1UKlZffjRpBlx4FnDieS9MWQdDyChhzBfn7d5M251sObz5Io8QVVLrbfkoy9vczsL+fgU+bDjgvuJiAIRdiqv+7uIE+u8WbKb/FW3lbbtf6yk9WVhYAgYGBZT5etD0zM7NKx//kk084ePAgPXr0qHTRXarPoUOHeOWVV1i6dCmHDx8mOzu7xONHjhwp8e9JkyaxePFipk+fzqOPPgoUzjL/+uuvadiwYXHxHGDNmjXF53juuedKnbuod/euXbtKjAPo0aNHtcS8aVPhbbpl9f42TZM+ffqwe/fuEtuL4t6yZUuFcVdUdC/Sr1+/Mu/kKCq6b9q0iYEDB7Jr1y6ys7Pp27cvDRqU/oI0ePBgXnrppeLnBXDllVfyzjvvMHToUMaNG8fAgQPp3bs3oaGhlYqtyLk87/Ler9/auHFj8XMpy+DBg1m5ciWbNm0qcXfE2Z5HREREqqa+05fb+rfgul5NmbXlGJ+vO8zR9MLe4TkFFjPij/DVxiOMaBfBrf2a07yBs4Ijypk4A31o2qLkV0bfFq1J6HIDW61UInvdQMct7+Hcs/asjluQsJ30hO2kv/9f/HoOwHnBxfj3GYTh51/xYBEREZFaoNYX3Sti24WLKxXNoD0bc+bMYdasWURHR3PfffdVelzRjPYzSU5OrvAYlmVRUFBQ6XN6k6Jftnbv3s0ll1xCamoq/fr1Y+jQoYSEhOBwODh48CBffPEFOTk5JV6n0aNHExISwowZM3j44YdxOBz88MMPpKSkFPcJL9q/qLXJt99+W2486enpxWMsq7C3ZcOGDct8f/bv339WMZ86darc4zVs2BAovOPit3F//PHH5cadlpZWYQ65XC6g8FfE8s6fmppKQUFBcbwRERFl7l/0a+SpU6eKH3/sscdo3rw5n3/+Of/973/573//i4+PDyNGjODRRx+lZcuWxeOL/l7LOnZVnndF71fR8//131tVnmNF5ylSlNt19W+7OliWVanPUDn/iv429P6It1Fue7bhTf0YGhXDzwfSmbn1BHtPFhbfXTb8tOM4I1s4CXSVPTlHqpbf6akutm1MB+BodijH2jxAy4GZtD38PY5VCyEzvfIBuFzkrV5G3upl4AzC6D0IY8AIaNOxSt/fRIros1u8mfJbvJUn5nZUVFSVx9b6onvRTPaiGe+/VTTL+Ewz4c/khx9+4P3336dp06Y8+uijBAcHn1ugctbeeustTp48yYsvvsikSZNKPPb111/zxRdflBrjdDoZN24cn376KUuWLGH48OHF+02cOLHEviEhIQC89957pVq7VORMXwLONuaiGI4fP17m8craXjTmp59+KtVmpaoqOn/ROSuK99ixYwAlZrE7HA5uv/12br/9dpKTk1m1ahXffPMNs2bNYufOnSxYsKBUz/yynMvzPpsvbUWxJyUllfl40faieKp6HhEREakeDtNgaEwoQ1qEsOFoFjO3nGDjsSw6RjjpGFHyO0C+y8Y0CsdI1fgHGLRo7ce+3XlgF66buudoEIcCJ9L699fRImcT5sqFsHEVnM1Eg+xM7KU/Yi/9EcIbY/QfjjFgGEajqn/ZFREREakptX5l0KJfHH7bZqTI0aNHgTP3fC/L7Nmzeffdd2nWrBmPPfYY9evXP+c45ezt27cPKOwt/ltxcXFnHFfUh/uLL74gJSWFhQsX0rFjx1KLW/bs2RMo7KteXc425qKYVq1aVeoxy7KKW6r8Wq9evc44pqpWrVpVPFv714piLoqzdevWOJ1OtmzZUjwj/NeWL18OcMb1E8LDwxk7dixvvvkmgwYNYt++fezYsaP4cYfDUTz7/Lfc8bzLUvRcz5RjRdurujCziIiIuIdhGPRoEsTjo5rz/MUtuLVno1L7/LT7FPd8t4dvtqWQllv2NYeUz8/fpEuvQIZeGEyD8NOL1ubl2mzblMeCAx3YN/xBrKffx7jhHmjdoZyjnUHyMexZn2P97S5cT/8Za9Ec7LOZQS8iIiJSw2p90b1Tp04AxMfHlyoaZmdns337dvz8/Gjbtm2ljvf111/zwQcfEBMTw2OPPUa9evWqPWapnKZNmwKnC7lFFi1axGeffXbGcX369KFly5bMnTuXDz74gPz8/FILYgJcdNFFxMTE8P777zN//vwyj7VmzZpSPdmrM+Y+ffoQExPD8uXLWbBgQYnHPv744+I+5b929dVXU69ePV588UXWr19f6nHLskqdvyJ79+7lgw8+KLFt7ty5xMXFERMTU9xz3s/PjyuvvJLMzEyef/75Evvv27ePd999F19fX6666ioAcnNzWbp0aXHbmCL5+fnFRXun83Sf1QYNGpCSklLma+6O512WPn360Lp1a1atWsWsWbNKPDZr1ixWrFhBq1at6Nu37zmfS0RERNyjbUMn7cJL9nJ3WTbfbEvhaEY+765L4taZCbz4cyJbkrJKXatIxeo18GHQiGB69AskwHn6zoG8XJut8TksWGiT2GIEjr88i/nkGxjjroHwxmd/ot3bsT95A+uPN+N6/Sns9SuwC/Kr8ZmIiIiIVL9a314mMjKSbt26ER8fz9y5cxkzZkzxY9OnTyc3N5dRo0YREBAAFPZSPnbsGA6Hg8jIyBLHmjFjBtOnT6dVq1b8/e9/V0uZGnbzzTczffp07rrrLsaOHUtkZCQ7duxg4cKFjBs3rtxe7BMmTOC5557j5ZdfxsfHhyuuuKLUPr6+vvzvf//j+uuv56abbqJ379506tQJp9NJYmIi8fHx7N+/n/Xr15coDFdnzKZp8txzz3HDDTdwyy23MHbsWFq0aMG2bdtYunQpI0aMYMGCBSUWOQ0LC+PNN9/k9ttvZ9y4cQwePJh27dphmiaHDx9m3bp1nDx5ssyC/ZkMHz6cf/3rXyxYsIDY2Fj27dvH999/T0BAAC+88EKJ8z/yyCOsXLmS9957jw0bNjBo0CBSUlL47rvvyMjI4IknnqB58+YA5OTkcM0119CsWTN69OhB06ZNyc3NZcmSJezatYvRo0eX+EFs8ODBbNiwgRtuuIF+/frh5+dHbGwso0ePdsvzLothGPznP//h2muv5e677+brr7+mdevW7Nmzhx9++IHg4GBefvnlMheeFREREc91OC2PjLzTs9vzLZvF+9JYvC+NpqF+XNy2PsNb1iPY31HOUeTXDMOgaYwfTZr5cnBvHru25ZCTVfgDRl6ujeOXb5tGoyiMy67DHnct7N6GHbcQe80yyMqs/MkKCmBdHNa6OAgKwegzBKPfUGjVAUPXZSIiIuJhan3RHeC2225j6tSpvPfee2zatImmTZuya9cutmzZQpMmTbj22muL901JSeGhhx4iIiKCV199tXj7okWLmD59OqZp0qFDB+bMmVPqPI0aNWLYsGHn4ykJEBsby/Tp03n22WdZsGABBQUFxMbG8vbbbxMaGlpu0X3ixIm88MIL5OfnM2rUKCIiIs54jp9++om33nqLefPmMW3aNEzTpFGjRnTq1IkpU6YQFhbm1pgHDhzIjBkzePbZZ4tn3Pfo0YPp06fz1VdfAZT6AWjIkCHMmzePN954g0WLFrFq1Sp8fX1p3LgxAwcOLLO9TXl69OjBgw8+yHPPPcf777+PbdsMGjSIhx9+mO7du5fYt0GDBnz77be88sorzJkzh7feeouAgAC6d+/O3XffzQUXXFC8b2BgIH/7299Yvnw5a9asYe7cuQQFBdGiRQueeuoprrnmmhLHfuCBB0hNTeWnn35i9erVuFwuJk6cWNxzv7qf95n07NmT2bNn8/LLL7Ns2TJ++uknwsLCGD9+PA888ABt2rSplvOIiIjI+dO8vj9vj2/D0v1pzN11ioSUnOLHDqXl8fbaJD7ccJxBzUO4qG19OoQ7tV5LJTkcBjFt/GnW0q+4+O7naxAZ7VtqX1dMR3zaxGJfcwdsXI0VtxA2r4UztBgsU2Y69qI52IvmQGh9jO79MHr0hw5dMXxKn1NERETkfDNsL7mXMjk5menTp7NhwwbS09Np0KABffr0YeLEiSUKlklJSfzhD38oVXSfPn06M2bMKPccsbGx/OMf/zjnWBMTEyvcJzk5uXjV3rrGx6fwt6CCs1l4yUtdfvnlrF+/nu3bt5/1YsCVsXz5ciZOnMjkyZOZMmVKtR9fSlJun7u6/Nno6TxxpXmR6qDc9l67U3KYu+sUi/elkVNQsk1lQ6cP/xvf2usXXHVXfrtcNjnZFkHBJe8aOHIoj41rsmnd3p+YNv74+Ba+vnZ6KvbqpdhxC2Hfrqqf2BmE0aU3Rs/+0KknRkDl7lYV76PPbvFmym/xVp6Y20VriVaFV8x0h8I35p577qlwv0aNGjF9+vRS26+++uoy+36LuFt2djZ5eXml1g+YNm0aa9asYcSIEW4puIuIiIjUZa3DArinXyS/6xnBkn2Fs9/3nMwF4MI29UoV3DPzXAT6mpr9XgkOh1Gq4G7bNju35BQuuLoxh907ck8X30PqYYy4FEZcin3kEPaKhdgrFkLKWX7pzs7EXrUYe9Vi8PWD2O4YPfpjdO2LERJajc9QREREpHxeU3QXqa0OHz7MRRddxJAhQ4iJicHlcrF582ZWrVpFvXr1ePTRR2s6RBERERGvFejr4OK2Dbi4bQN2nchm7q5TjGpdv9R+Ty89TFqOi4va1ueCmFCC/NT7/WxkZ9nk552+ybqo+J6wPZc2HU7PfDeaNMW44kbsy6+HXVuw4xZgr10OOdlnd8L8PIhfhR2/Cts0oW0njB4DMHr0wwgru/WkiIiISHVR0b0Wcd1xWU2HUCWO/52597oU3qVxxRVXEBcXx/Lly8nLyyMiIoJJkyZx//33ExMTU9MhioiIiNQJbRs6aduwdEuSI+l5bDyaBcCbq4/x/rokhsSEcnHb+rQJC9Ds90oIDDIZMTaUg/vy2LU1h+xfFlzNzztdfG/dwZ+WRcV304T2XTDad8G+9i7sDSuwVyyCLevBtso/2W9ZFuzYhL1jE/bnb0GLNhg9BxQW4Zs0rf4nKyIiInWe1/R0r02q2tO9rhTd1fdavJVy+9ypp7vn8sT+eyLVQbktAD/vT+M/cUfIc5X+6tSqgT8Xta3P0JhQAn1r1+z3mspvy2WXKr4X8fUzaNvRn9YdAsoca6eexF6zDHv9Cti55ewL8L8V2bSwBU2PARDTRj+geAl9dos3U36Lt/LE3FZPdxERERERETcZ1CKUbk2CWLy3sPf7/tTc4sf2nMzl9VXHeG9dEkNjQhnTtgGtwsouGEsh02HQorU/zWL8Covv23LJziwsnufn2WRmnLmQbtRrgDFyHIwcV7gAa/yqwgL81g1QkH/2wRw9hP39DOzvZ0BYOEb3/hg9+he2o3HUrh9RRERExHOo6C4iIiIiIlKBYD8Hl7RvwNh29dmeXNj7/ecD6cWz33MKbH5MSKXAsnlgQNVnRdUlxcX3ln4c2pfHzq255GRbtOlY+kcL27IxfrO4rRFSD2PwhTD4QuycLOxN62B9HPamNWffAx4gJRl7wSzsBbMgOKRwAdaeAwoXZPX1q+rTFBERkTrIrOkARDzZ8uXLiY6O5oUXXnDbOQ4ePEh0dDQPPvhgpcdMmzaN6Ohopk2bVmJ7v3796NevX6X29WRJSUk88MAD9OrVi2bNmhEdHU1qamqVjzdhwgSio6OrJbbFixdz2WWXERsbS3R0NLfeemu1HFdERERqB8Mw6BgRyIMDo3j3ijbc3qsRTUNPF2QvatOg1Jjjmfmoq+eZmaZB81b+jBgbwoBhwQQGlfyamptjMX92Gru25lCQX/braAQEYvYZjPn7P2G++DHm/Y9hDBkNIfWqFlRGOvby+VivPIH10A243ngaa8Ui7PSqX5OKiIhI3aGZ7iJ1VFFxfuXKlTUcSWkPPfQQixcvZvz48cTExGAYBv7+/jUdFgcPHuTWW28lNDSUq6++mpCQENq0aeP2806bNo3Jkyfz4osvMmnSJLefT0RERConxN/BuA5hXNq+AduOZ7P6cAbtw0vO0s7Kd/GHWXsIc/oyJCaEIS1CaVav5q9rPJFpGjSMKP0VdfeOXLKzbLZvymH3jlxat/cnpq0/vr5l9183fH2hSy+MLr2wb7gbErZjr1+BvT4OTiSdfWC5ObB2Ofba5dgAzVtjdOqOEdsDWncsPJ+IiIjIr6joXouc7YKk4r3GjBlDr169aNSoUbXu6wny8vJYsmQJQ4YM4ZVXXqnpcEpYunQpOTk5PP/881xxxRU1HY6IiIh4CMMwiG0USGyjwFKPLd6bRk6BTWJ6HtM2nWDaphPE1PdnSItQhsSE0DhYbUvKY1s2SUdO92rPzztdfG/eyo8Wrf0ICj5z73XDdEC7ThjtOmFffSsc3PNLAX4FHN5ftaAO7MY+sBv7+y/Bzx/ad8GI7Y7RqUfhwqxajFVERKTOU9FdpBYKDQ0lNDS02vf1BMePH8eyLBo3blzToZRy7NgxAI+MTURERDxTaq6LAB+TnILTi4PuO5XLvlPH+Sj+OO0aBjAkJpRBzUNoGKgZ079lmAZDR4dwaF8eu7bmkvWrBVd3b89l9/ZcIiJ9iGnjT+MmPqX6vpc4lmEUzlJv3houvx77WCL2+rjCAvyeHVULMC8XNq3B3rSmcBZ8g3CM2O7QqQdGh24YIbXnOlxERESqj3q6i8f6da/zhIQEbr31Vjp16kSbNm0YP348ixcvLjXm1/3LFy5cyIQJE+jQoUOJft5paWk89dRTDBkyhFatWhEbG8t1113HkiVLyo1nzZo1TJo0iQ4dOtCuXTuuu+464uPjS+139OhRXnrpJS6//HK6d+9OTEwMPXv25N5772XXrl3lnqMqz7Miv923qE/9oUOHOHToENHR0cX/e/DBBzl16hStW7dm4MCBZ+w9etNNNxEdHc3GjRsrPD/Anj17uP/+++nVq1fx63H//fezZ8+eEvv169ePvn37AvDFF1+UiKsyvvnmGy6++GJat25N165due+++zh69Gi5YxYtWsSNN95I586dadmyJQMHDuTxxx8v0UO+6DV7/vnnAZg4cWJxbMuXLy/e7+TJkzz11FNccMEFtG7dmg4dOnD11VeX+R7+Ouarr76aTp060apVK/r168c999xTnFsTJkxg8uTJAEyePLnE+3Xw4MFKvS4iIiJSc67pEs6HV7Xh4SFRDGwegp+jZFF454kc3lmbxG1f7eazjcdrKErPVtTzffjYELr3dRIYXPJr7PGjBaxelsm82WlkZ1lnOEppRuMozIuvwvHIc5jPvYdx/V0Q2x0cZ545X6GTydg/z8N+6zmsKTfiemIy1lcfYe/YjF2QX/F4ERER8Qqa6S4e7+DBg1x22WW0b9+eG264gWPHjvHdd99xww038Morr3D55ZeXGjN79mwWLVrE8OHDufHGG4uLk6mpqYwfP56dO3fSQcOSCwAAggFJREFUvXt3xowZQ0pKCt999x3XXXcdTz31FDfeeGOp461fv55XXnmFwYMHc/PNN7Nv3z6+//57Vq5cyaefflpi8dKVK1fyyiuvMHDgQMaOHUtQUBB79+5l9uzZ/Pjjj3z99dd06tSpWp5nVTRr1ozJkyfz9ttvA3D77bcXP9apUyfq16/P5ZdfzrRp01i6dClDhw4tMT4xMZFFixbRtWtXunbtWuH5NmzYwDXXXENGRgajR4+mbdu27N69m6+++ooff/yRadOm0a1bt+JYDh48yDvvvENsbCwXX3xxcVwVeeutt/jnP/9JvXr1uOqqq6hXrx6LFi3i8ssvJyQkpMwxL730Es8//zz169dn1KhRhIeHs23bNt544w0WLFjAt99+S0hISPFrFhcXR1xcHBMnTqRZs2bFryfAoUOHmDBhAgcPHqRfv34MGzaM7Oxs5s2bx/XXX88zzzzDzTffXHxu27Z56KGH+OKLLwgLC2PMmDE0bNiQxMREli9fTuvWrenWrRsTJ04kNDSUuXPnctFFF5V4LWrTHQwiIiJ1mb+PycDmoQxsHkpWvotVhzJYui+N9Ucycf0yx8EGYuoHlBpbYNn4lDN7uy4xTYNmLf1p2sKPpKMF7EvIJelIQfHjvj4GAc6qvVZG/YYYw8bCsLHYmRnYG1cX9oDfsg7y8qoWsG3D/gTs/QnYc74A/4DTrWhie0BktFrRiIiIeCkV3cXjrVixgrvuuoupU6cWb7vlllu47LLLeOSRRxgxYkSpouqCBQv46KOPGD58eIntTz75JDt37iwughZd5N5zzz2MHTuWRx99lGHDhhUXUossXLiQJ554gltuuaV429y5c7n11luZPHkyS5cuxTQLZ9wMGjSI+Ph4goODSxxjy5YtjB8/nqeeeoqPP/64Wp5nVTRr1owpU6Ywffp0AKZMmVJqn5tvvplp06bx0UcflSq6f/bZZ7hcLm644YYKz2XbNg888ADp6en897//5corryx+7JtvvuGee+7hvvvuY9GiRZimyR133FFcdO/UqVOZsZXl4MGDPPXUU9SvX58ffvih+P175JFHuPPOO5kzZ06pMT///DPPP/88vXr14qOPPqJevXrFjxUtXPr888/zz3/+s/g1e+GFF4iLi+Pqq69m4MCBJY734IMPcujQIV577bUSP5CkpqYyYcIEHn30UcaMGVPcW/+TTz7hiy++oHv37nz22WclCugul4vk5GSA4oVTi4ruWkhVRESkdgv0dTCsZT2GtaxHWq6LFQfTWbovjd0nc+gZFVRi33yXzR3f7KZ9eABDWoTSJzoYfx/drGyYBo2jfGkc5UtWhov9u/M4sDePmDb+pYrYRw7lkZ1l0yzGF1+/yr12RlAwxoDhMGA4dm4ubF1f2D5my3pIOYe7EXJzYOPqwoI+QFh4YfE9tgdGx64YwZpQISIi4i10xSYeLzQ0lIceeqjEtm7dunHFFVeQmprK999/X2rMRRddVKrgnp+fz8yZMwkKCuKRRx4pcUHeqlUrbr31VvLy8pgxY0ap48XExJSYpVx0jgEDBrBv3z5WrlxZvD08PLxUwR0KZ2sPGjSI5cuXk59f+tbSqjxPd+nWrRvdunXjxx9/JCkpqXi7y+Xis88+Izg4mPHjx1d4nDVr1pCQkECvXr1KFNwBLr/8cvr27cvu3btZtWrVOcU7c+ZM8vLyuOWWW0r8YGKaJn//+9+LfxD5tXfffReA5557rkTBHQoL3Z06deKrr76q1Pm3bNlCXFwcY8eOLXVHQr169fjjH/9ITk4Os2fPLt7+3nvvAfDMM8+UmrHucDjUN15ERKQOCPV3MLpNfR4f1Zx3xrcpVVCPP5rJyewCVhzM4Lllidz05S5eWJbIqkPp5Lsq30bFmwUGO+jYzcmocaE0a1VyUVrbttm5JZct67P56ds04ldncSql4AxHKpvh74/Roz/mTX/AfPptzMdfx7j299CtL/g7zy34lGTsZT9hv/Us1uQbcT05Beurj7F3qhWNiIhIbaeZ7uLxOnfuXGYRe8CAAXzxxRds3ryZq6++usRj3bt3L7V/QkIC2dnZ9OnThwYNGpR6fNCgQbz88sts3ry51GP9+vUrs3A7YMAA4uLi2Lx5MwMGDCjePm/ePD766CM2btxISkoKBQUlL+5TUlJKFVWr8jzd6eabb2by5Ml8/vnn3H///QDMnz+fI0eOcNNNNxEUFFTBEWDTpk1A4WtblkGDBrFq1So2b95M//79qxxr0XtW1jFatGhBVFQUhw4dKrF97dq1+Pr6MmvWLGbNmlVqXH5+PidOnCAlJYWwsLByz7927VoA0tPTeeGFF0o9fuLECQB27twJQFZWFtu3byciIoLOnTtX4hmKiIiIt3P6lr7W3HY8u8S/cwpsluxPY8n+NIL8TAY0C2FIi1C6NA7EUcdb0DgcpZ//qRMu0k65AHC54MCePA7syaN+mIOYNv5ENfPF4VP5180wjMKWMJHRMOLSwsL4nh3YWzdgb90A+3YVtpSpCtuGfbuw9+3CnjO9sKDfoQtGu84YbWOhWSsMH319FxERqS30X23xeBEREWVuL2rTkZ6efsbHfq1ov7IeA4qL4L9eQLOiGIq2/zqGd955h0cffZT69eszZMgQoqOjcTqdGIbBDz/8wNatW8kroy9kVZ6nO1122WX861//4tNPP+UPf/gDpmkWt8WpTGsZKFy0FjjjrO2i51a0X1UVjS/vffpt0f3kyZMUFBTw4osvlnvsrKysCovuJ0+eBGDJkiXlLsiblZUFnM6xyMjIco8rIiIidduN3SMY3iqUZfsLW9AcSjt9DZmZZzFvdyrzdqdSL8DBxE4NGdeh/GuWuiaknoMuvZzsS8glPfX0nQGnUlxsWJXFlg0GzVr6EdPaj6CQs1881fDxhXadMdp1hvE3YGekwfaNhUX4LesgJbnqwedmQ/wq7PhVha1o/PygZXuMNh0x2sRC6w4YzsCqH19ERETcSkV38XjHj5fdN7Go7Ull+5wX7Xem4x07dgwoe3HKM40p2l507IKCAl544QUaNWrEDz/8UKrYXDQjurxj/dbZPs/q4nQ6mThxIv/73/9YvHgx7du3Z9GiRfTo0aNSC5vC6dfy1y1qfq26nlvReY4fP0779u1LPV7WaxsSEoJt22zZsuWczv3r8//rX//itttuO+N+Pr/MTipqZ3P06NFzPreIiIh4t6ah/lzTxZ9JnRuy71QuS/elsXR/OkmZp9uPpOa4ypzpbtt2nV6o08fXIKaNPy1a+5GS7GJ/Qi6Jh/Kxf6m/5+fZ7NmRy54duUQ186XXwIrv5CyPERwKvQdj9B6Mbdtw7DD2lg3YW9fDjk2FPd2rKi8PdmzC3rGpsAhvmNC0RWEBvm0sRptYjAYNzyl+ERERqT4quovH27x5MxkZGaVar8TFxQFUuj1H69atcTqdbNmyhVOnTlG/fv0Sjy9fvhyALl26lBq7atUqLMsq1WLmtzGkpKSQmprK2LFjSxXcMzMzi9utlKW6nmdlORyOMmfc/9pNN93E22+/zccff0xsbCwul4sbb7yx0ucoirnoOfxW0fayXvOz0blzZ+bMmcOKFSsYPHhwicf2799PYmJiqTE9e/Zk/vz57Nixo8xC/dno2bMnACtXriy36F4kMDCQDh06/H97dx4eVXm/f/x9JpPJvpKEEJKwgywuKLuguFRAxBVQq621uLVWRdy+2ta9qBVQ69ZfKy51RahYcQFEC0UBQUUQ2RFCCGEJ2dfZzu+PyUwyzCQkEMgE7td15crkbPOcM2dOkvs883nYuHEj69atO+RrGxbm6Xnldqt2q4iIyInKMAy6JEXSJSmSX52WyuYD1SzdUcpXO8soqXYyLNu/E4PbNLnt4+10TorgjIxYzsiIISHyxPz3zzAM2qVaaZdqpW+1m53b7eRss1NVUfe3VWRUyw535ilFk4mRngnn1Zai2bYJc/1qz4CsO7cdfikaANMNudsxc7fDfz/xBPHt0jC694bufTwlaTpkYQQpkSkiIiJHn34DS8grLS3lmWee8Zu2Zs0a5s6dS3x8PGPGjGnSdmw2G5dffjkVFRVMmzbNb96OHTt49dVXCQ8P54orrghYd/v27bzxxht+0xYsWMDy5cvp3LkzgwcPBjyDqEZFRbF27VoqKip8yzocDh588EEKCwuP+n42VVJSEoWFhVRVVTW4TNeuXRk+fLivRn1CQgIXX3xxk59j4MCBdOvWjZUrVwbUTf/4449ZsWIFXbt2ZdCgQYe9HwCXX3454eHhvPbaa+Tm5vqmu91uHn/88aBh9Y033gjAPffcE7THeWVlZaOfTKjv1FNPZfDgwXz22We89957QZfZsGGDX4/73/72twDcd999AeV13G6375MXgG8Mgry8vCa1R0RERI5vhmHQKyWKGwa0Z+al3Zg+ujOJBwXq24tq2FVq56ucMp5bns91/97KPfN3MOvHArYVVnt6Yp+AIiIt9OgdyXkXxjFoRAxpHawYBnTqbgtYdtumagr2OlrkWBnWcIxe/bBc9ivC/jQDy/Q3MW66B+PM8yEp5Yi3D8CBfZjfLMF8+2XcD9+G+85rcP3tUdyfzcHcsh7T0XiHGxEREWk5J2ZXB2lThgwZwrvvvsvq1asZOHAge/fuZd68ebjdbp588slmlSa5//77+eabb3jttdf44YcfOPPMMyksLGTevHmUl5fz+OOPk52dHbDeOeecw6OPPsqXX35Jnz592LFjB5999hmRkZFMnz7d1wPeYrEwadIkXnjhBc477zwuuOACHA4Hy5Yto7i4mGHDhvl61B/N/WyK4cOH88MPP3DttdcyePBgbDYbffr04YILLvBb7rrrrmPp0qXs37+f3/72t0RFRTX5OQzD4Nlnn+Xqq6/md7/7HR9++CHdunXj559/Zv78+cTGxvLcc88FHaS2ObKysrj//vt59NFHGTVqFOPGjSM+Pp7FixdTWlpK79692bBhg986I0aM4IEHHuCJJ55g+PDhnHvuuWRnZ1NRUcGuXbtYsWIFgwYN4u23325SG1544QUmTpzIXXfdxcyZM+nfvz8JCQnk5+ezYcMGNm7cyCeffOKrO//LX/6SlStXMmfOHIYPH86oUaNITk5m7969fP3111x11VXcddddAJxxxhlERUXxyiuvUFxcTEqK5x+z3/72t0HLIYmIiMiJI8xi0DU5MmD6j3sr/H42gc0Hqtl8oJp31haQFGXlzC7FDO2SRNcYF9Hhza9p3pYZFoP2GeG0zwinptpNRKT/36PVVW42rKnGNCE2zkKn7hFkdgrHFtEy/daMuHiMgSNg4AhPqL9nV20t+NpSNPaaI3+Sygr48VvMH7/19IS3WqFTd08pmh61deFj9bekiIjI0aDQXUJeVlYWTz75JFOnTuXNN9+kpqaGfv36ceeddzJy5MhmbSspKYmPPvqIF154gU8//ZR//OMfREZGctppp/G73/2Os88+O+h6/fv3Z/LkyTz99NO8/vrrmKbJmWeeyX333cdpp53mt+w999xDcnIy7777Lm+//TZxcXGMGDGC++67L6CH/dHaz6a44447KCkp4fPPP2fVqlW4XC4mTJgQELpfcMEFJCcnU1hY2OQBVOs7/fTT+eSTT3juuef46quv+Pzzz0lOTubSSy/ljjvuoHv37i2yPzfffDPt27fn5ZdfZvbs2cTExDBy5Ej++Mc/8oc//CHoOrfeeisDBw5k5syZrFq1ioULFxIXF0d6ejrXXHMNl112WZOfPyMjg/nz5/Pqq6/y6aefMnfuXNxuN6mpqfTo0YPrr7+e3r17+5Y3DIPnnnuOs88+m7fffpt58+Zht9tJS0tj8ODBfq9DYmIi//znP5kxYwazZs3yDch6xRVXKHQXERGRoC45KZnT0mP4dncF3+WVs7GgCne9DttFVU4+Xr+Xj9fvpVdKFH8d1an1GtvKDg7cAXb+bPdVfykvc/PT6irWr6kitb2VDpnhpGeGY7O1UABvGJ5SMB2y4LxxmA4H/LwJc+t6zK3rYdtGqKo88idyOmHbRsxtGzEXfOCZ1iGrNoDv7fme0v6EHgdARESkpRjmifq5wlYUrL70wQoKCny9WU803sEmt2/fzpAhQ5gwYQLPPvts6zbqBJaTk8OZZ57JwIEDmTt3bms3p03znttOp7OVW9J2ncjXxlDnfV0KCgpauSUiLUvnthwvympcrM6v4Nu8cr7Pr6CsxuWbd/UpKVx1sv/v12/zyrEY0K99NLawE68qaVmJix1ba9i1w06wP90MA1LTWz6AD8Z0uyBvpyeA37Iec8t6KD5wdJ4sPtHTG75TN4xO3SC7OyS1a3NBvK7dcjzT+S3Hq1A8tzMyMg57XfV0F5FG/f3vf8c0TX7zm9+0dlNERERE5DDFRYRxVud4zuocj8ttsuVANeuL3CzbUciAjNiA5d9Zu59thTVEhBmc2iGGARmxnNExhpTo8FZo/bEXlxDGyWdE0/uUKHbl2Mndbqe4sO5GhWnCvnwn+/KdFBe6OGVA9FFri2EJg6wuGFld4JyxnnI0hfs94fu2DZ7vu3ce2cCsXqXF/iVpAOIS6gXx3aFT2wziRUREjiWF7iISIC8vj7lz57J9+3ZmzZpFnz59GDduXGs3S0RERERaQJjF4KTUKIb3TuGmYZ0CepQVVjnZVuipKV7jMlm5q5yVu8oB6JwYwYCOsQzIiKFnShRhluM7eLWGG3TuHkHn7hFUVrjIz3WwO9fhF8B3yAq8EbF/j4OEpLAWqwFfn2EY0C4No10aDBkJgFlRDj9v9AyYunU9bN8CTkfLPGFZCaz7DnPdd40E8d0gKUVBvIiISC2F7iISICcnhyeeeIKoqCjOOussnnjiiSMe7FRERERE2gbTNBl3UhLf5ZWzu8w/uN1RXMOO4hrm/HSAOJuF/h1i+d3g9ifEQKzRMWF0OymMbidF+gL4/XudtEv1/7fa6TBZ+VUFphtS2lvJyAonvWPLDcIajBETCycPwDh5AICnLnzO1tq68Btg6waoKGu5J2wwiO+Gke0J4+ncXUG8iIicsFTTvRWopnvjVPdajlc6t4/ciXxtDHWhWH9PpCXo3JbjWVPO792ldr7bXc63eeWs21eF0+3/72O7aCszL+3mF6yW1rhwuNy0O0FK0RwsL8fO9yv8Bz41jGMXwAdjut2wN89TisYbxO/fc/Sf+OAgvlN3SD76Qbyu3XI80/ktx6tQPLdV011ERERERERaXEa8jYz4ZMadlEyVw82aPZ7BWL/bXUFhlZMBGbEBAep/fy7h1e/30SEunL5p0fRNi6ZfWjRpsSdGCB9mNUhMDguoAb9/j5P9e5ys/bbqmAfwhsUCHbIwOmTBWaM8bSo+AFs3YNZ+kfszuN0t+8RlJbDue8x139f1iI+N9wTxteVp6NgZUtt7ateLiIgcJxS6i4iIiIiIyCFFhVsYkhXHkKw4TNNke1ENNmtgj+Wf9nl6eeeXOcgvK2HRthIAUqOt9G3vCeD7tY8mPTb8uCw9kt7RE6ZXVrjJz7UH1ICvH8Dv3e1k4PCYVmmnkdgOBgzHGDDc0y57DezagZmzzVOaJmerZ4DWlg7iy0vhp9WYP62uC+LDbdAhEyOjE2RkY3TMhoxsSE713DAQERFpYxS6i4iIiIiISLMYhkHX5Mig8ywG2MIM7C7/UjT7K50s3l7K4u2lACRHWblhQBpnZscf9fa2hugYC91OiqytAR88gO+QGdj7v7DASWyc5ZiXoDFsEdC1F0bXXr5pgUH8NsjfCS5XI1s6DA477PwZc+fPnuf1To+I9ITwGVmQ0QkjIxs6doLE5OPyho2IiBw/FLqLiIiIiIhIi/m/szJxuNxsOVDNun2V/LS3ko0FVVQ7/UP4wioncbbAkiKLt5fQKTGCTokRWI6TYDVYAL8nz0H7jv6hu+k2WfVVBQ67Sbs0K2kdrKS2DycuwdIqIXPQIN5hrw3it0LOtroe8S0dxAPUVMP2zZjbN3ue2zs9KgY6ZntC+IxOnlC+YyeM+MSWb4OIiMhhUOguIiIiIiIiLSo8zEKftGj6pEVDP3C6TbYVVvPT3kp+2lfJ+v1V2F1ueqVE+a1Xbnfx7LJ8TCDGZqFPajT92kfRNy2arkmRhFnafghfP4A/2IH9Tuw1nmi5YK+Tgr1OoBpbhEFqeysp7a2ktA8nOqb1Sq4Y4Tbo0hOjS0/fNE8Qn+MJ4HfWBvF5OUcniAeoqvDVowf868VnZFParRfW7C6Y8e084XxM3NFph4iISAMUuouIiIiIiMhRZbUY9EqJoldKFJf3bYfLbZJfbifC6h8eb9xf5QtQK+xuVuWVsyqvHIBIq4XeqVH0S4umb1oUXZMjA9Zv60wgqV0YRQf8w2p7jUneTgd5Ox1AFTGxFtpnhNO3f1TQ7RxrniC+B0aXHr5ppsMBeQfViM/bCS7n0WtIeSlsXkfV5nX+0xOSISMLo2MnSM/ESOsA7TMgsZ1qxouIyFGh0F1ERERERESOqTCLQWZ8RMD0GJuFM7Pj+GlfJcXV/sFztdPN6vwKVudXAJAZb+PFcV2PSXuPldT24aS2D6eq0s2+fIent/u+ut7vXhXlbkpLAnuR22vchFkNwsJa/xMBRng4dO6B0bmBIH7nNsy8HE9pmqrKo9uYkkIoKcTcsMbTDu/0cBukdYC0DhhpGdA+wxPIp2WobryIiBwRhe4iIiIiIiISEnqnRtM7NRrTNMkrs/PT3ip+2lfJun2VHKj07yHdLchArh9tLGTx9hK6J0fRvV0k3ZMjyU6MwNrGytJERVvo1C2CTt0iME2T0mIXBXud7N/r5MB+J24XpLYP/Hd+80/V5PxsJznF6itHk5AUFjLhcdAg3jSh6ADszsHcvRPydnq+794J9pqj2yCH3VMGJy/HF8T7AnlbRG0gn4HRvvZ7bTBPfGLIHFMREQlNCt1FREREREQkpBiGpyd8ZnwEo3okYpom+yocrNtbybp9VWwuqKJHu8DQfeP+KrYV1rCtsIYFWz3Twi0GXZIifCF893ZRZMbb2kx9eMMwSEiykpBkpdtJ4HKZFB1wEh0TOAjt/r2eQL6uHjyE2wxS2teF8DGxgeu1JsMwIDkFklMw+p3hm2663XBgH+yuDeHzakP5/F3gdBz9htlrYNcOz6Cx3jZ550VG1fWOT8uA9h3qesjHJSiQFxERhe4ijZk+fTozZsxg9uzZDBs2zDe9Y8eODB06lDlz5rRi6+qMHz+e5cuXk5eX19pN8bNkyRKmT5/O1q1bKSkpYdSoUbz66qut3Sw5TJMnT2b27NmsWLGCrKys1m6OiIiInEAMw6B9rI32sTbO65YI1PaQPsjWwuqAaQ63yeYD1Ww+UDcvIszg94PTGdkl4ai1+WgJCzNISQsPmO50mgQ5JDjsJvm5DvJzPUF1dIyFlPZWuveOCLkAvj7DYoHUdEhNxzh1kG+66XLB/j21YXwO7M71lKnZm3f0Bm49WHUV7PwZc+fPde3yPoiKqQ3ka+vGp3bASEmDdu09JWvCQveYi4hIy1HoLtIGtMWwMzc3l9/+9rfEx8czceJE4uLi6N69e2s367ixbNkyJkyYwJQpU7jrrrtauzkiIiIix1yw3sQzRndma2G15+tANdsKq9hXEThwZ43LJDkq8N/hZ5btJjHSWtsjPpL02PA202vZajU498J4KivcFOx1+MrRHFwPvrLCzc6f7fTo4/9JAdM0cTnBGh7a+2uEhUF6R0jviHH6UN900+mAvfmYu3cSXbQfZ+52arZvgX35YLqPXQOrKuoGjvW2zfvAYoGkFGiXhtEuDdqlQbvUusfJKRjWwBsqIiLS9ih0FzkMS5YsISoqqrWb4fPcc89RVVXV2s3ws3TpUqqrq5k2bRqXXXZZazdHWsD999/PH/7wB9LT01u7KSIiIiJBxUaEcVqHGE7rEOObVlLtZFttCO8N4w9UOel6UE34SoeLxdtL/bdns/hK0nROjCA7MYKMOBvhITBQaUOiYyxkd40gu6unHnxZiZv9tSH8gf1OXE6IibUQHWPxW6+sxM2ShWXExVlIbGclMTmMxOQw4hPCsITw/noZ1nDomI3RMZvYlBQACgoKMB12yN9VV5pm327Mfbthbz7UHOP/obwlcw7so/6tEN9jw4CEZEhJw0j2BPK+xylpkJyKYQscgFhEREKPQneRwxBqPbY7duzY2k0IsHfvXgDat2/fyi2RltK+fXu9niIiItLmJERaOT0jltMzYn3TiqudxNr8y3xsC1Kaptzu5oc9lfywp9I3zWJAx3gbz13YJeTrwhuGQXxiGPGJYXTrBW6XSVGhC4c9sA7N/r0OMKGs1E1ZqZ3c7Z7pFgvEJ4aR1C6MhGQrSclhxMRZ2swnAIxwG2R3xcju6jfdNE0oLYa9tSH8vt2Ye/Nh325P7/ijPYhrMKYJxQeg+AAmG+om118mPrFeT/nUwF7zkdHHutUiIhKEQncJWbm5uQwZMoQJEyZw22238fTTT7Ns2TIKCwt5//33fTXWFy9ezMyZM1m9ejUVFRV06NCBMWPGcPvtt5OQ4F+j8euvv+Y///kPK1euJD8/H6fTSadOnbjooov4/e9/T2Rk4GBMwRxc091b6qMx9evCz58/n08++YTVq1ezZ88eDMOgW7duTJgwgeuvvx6Lpa7XSf1AfciQIb7HmZmZfPPNN0DDNd3dbjdvvfUW7733Hlu2bME0TXr27MmVV17Jr371K7/nqb9f//jHP3jyySf5/PPPKS4upnPnztxyyy1ceeWVhzw2Bx+L+o+9x8Db3u3bt/Piiy/ywQcfsGvXLi655BKeffZZANauXcvzzz/PN998Q1lZGampqZx33nlMnjw5IPj1lt9Zvnw5X3zxBW+88QY7d+4kNTWVa665httuuw3DMJg3bx5///vf2bRpE9HR0YwbN44///nPTX7dvc+zbNky5s+fz9tvv82uXbtISkrioosu4u677yYuLi5gvebsy/79+3n55Zf5/PPPyc/PJzw8nJSUFM444wzuvPNOOnXq5GsHwIwZM5gxY0bAMfb68MMPeeutt1i/fj3V1dVkZWVx2WWX8bvf/Y6ICP9eMt7X/6WXXuKvf/0r//3vf9m3bx/Tpk3jyiuvbLTM0UcffcTrr7/O+vXrcTgcdO7cmUsvvZSbbrop4HkGDx4MwKJFi5g+fTqfffYZe/bs4fbbb1epHBERETkmEiMD/xXukhjJ/Wd1ZEttj/htB6oosweWJXGb4HCZAYH72j0V/OPbvWQnRJCdEEFWoo3shAg6xNmwhkg4bwkzaJcaPAaoLHeDwUEJr6dzdnGhi+JCF2AHoENWOAOGxQRsoy0xDAMSkiAhCaNnX795pmlCcWFtEH9QIL9/DzjsrdRqPDcKSosxt2+ua2/9+TFxkNQOEtthJLWDxGRPLflEzzSS2kFMnKdmvoiIHDUK3SXk5eTkMG7cOLp27cpll11GdXW1L9h85plnmDZtGomJiZx//vmkpKSwYcMG/v73v/Pll1/y0Ucf+YWgL730Elu3bmXAgAGcd9551NTUsGrVKqZPn86yZcuYNWsWYYcxsE1WVhZTpkwJmO5wOPjnP/9JdXW1XzmaqVOnYrFY6N+/Px06dKC0tJSvv/6aBx98kB9++IHnn3/et+yUKVOYP38+69evZ9KkSb4bCfHx8Yds1+23387cuXPJyMjg6quvxjAM5s+fzwMPPMCqVat44YUXAtYpKSnhkksuwWazMXbsWGpqavjkk0+YMmUKhmEwceLEJh2L5cuXs3z5ciZMmOALaA8Oam+88UbWrFnDOeecw+jRo2nXrh0An3/+OTfddBOmaTJ27FgyMzNZu3Yt//rXv1i4cCEffvhh0Nr2jz32GMuWLeMXv/gFZ511Fp9//jlPPfUUDoeDxMREpk6dyujRoxk0aBBLly7l9ddfx+Vy8eSTTx7yWNb38MMP880333DRRReRkJDA4sWLeeWVV1i5ciVz5871C/Hr78tFF11EZmYma9asCbovVVVVXHrppezYsYOzzjqLX/ziF5imya5du1i4cCFjx46lU6dOjB49GvAE7EOHDmXo0LpalvWPy1133cV7773nuxEVHx/P999/z9NPP81XX33Fe++9h9Xq/2uguLiYcePGERMTw5gxY7BYLKSmpjZ6PJ544gleeOEFkpOTufTSS4mJieG///0vTz75JEuWLOHdd98lPNy/NqXD4WDixIkUFxdz9tlnExsb22bGKxAREZHjU2xEGEOy4hiS5fn/wTRN9lU4fGVpdhbXsLPEzr4KB1kJgSU+thfVkFtiJ7fEzteU+aZbLdAxri6Ez06IoGtyBO1jbcds35ri5DOi6X1qFCVFLooPOH1Be2VF4I2H+ITA/5k2rK2ivNTtK0uTmBxGuK1tBruGYXjC6aR2GL1O9ptnut1QdMA/kN+XD3t3Q8EecAaOIXBMVZR5vnbtCF7CBiDMelAYn1wX1Ht/TmyHEaFSNiIih0uhu4S8lStX8oc//IH777/fb/rXX3/NtGnTOOOMM3jzzTf9erXPmjWLKVOmMG3aNB555BHf9KlTp5KdnR3wUci//vWvPPfcc3z88cdccsklzW5jVlZW0B66kydPprq6mhtuuIH+/fv7pv/rX/+ic+fOfsu63W7uvPNO5syZw/XXX8/pp58OeILT3Nxc1q9fz4033tjkYPLDDz9k7ty59OvXjw8++ICYGE9PlPvuu48rrriCuXPnct555wXUW1+/fj1XX301Tz31lO8GxI033sj555/PSy+91KTQ/a677mL69OksX76ciRMn+vW8ri8vL48vv/yS5ORk37SKigruvPNOnE4nc+bM8fWKBnjxxReZOnUq9957L++++27A9tauXcuiRYvo0KED4Dl2Z555Ji+//DJRUVHMnz+fHj16AFBTU8OoUaOYNWsWd999Nym1dR+bYtWqVSxcuJDMzEzAU+v85ptv5tNPP+Xll1/mzjvvDLovZ555JgBOpzPovixdupQdO3Zwww03+J23AHa7Hbvd06Nm9OjRxMfH+0L3YOferFmzeO+99xgzZgzPP/+8302f6dOnM2PGDF5//XVuuOEGv/U2bNjAFVdcwYwZMwIC+WC+/fZbXnjhBTIyMvjkk09IS0vzHZNJkyaxaNEiXn75ZW6//Xa/9fbu3UuPHj3497//TXS0PgIrIiIioccwDNrH2mgfa+PMTnUdXqocbiodroDld5YEL0fidENOSQ05JTVQG8af1Smeu4Zn+C2XV2rHYkBaTHirla2xWj094ev3hq+pdlNc5KL4gIviQk8Yn5gcGLrv3e2grMTNnjyHb1pMnIXE5DCSkj014uOTwghrA/XhG2NYLLVlXVIxep/qN890u6CwwK9nvFmwDw7shQP7obK8lVp9EJczaG15OCicj47x9I6v31M+MRkjKbn2cTuIT8CwNL/jmojI8U6hexv17tr9vPfjgSYte0H3BG4d3MFv2ovf5LNwa0mT1r/q5HZcfYp/T9fHF+eyKq+iWescrtTU1KC9yF999VUAnn766YAyMldeeSUzZ85k7ty5fuFlp06dgj7HDTfcwHPPPceSJUsOK3QP5plnnmH27NmMGjWKhx56yG/ewYE7gMVi4YYbbmDOnDksWbLEF7ofrvfeew+ABx54wBe4A0RHR/PAAw9w1VVX8c477wSE7lFRUTz00EN+Pf579uzJwIEDWbFiBeXl5cTGxtIS7rnnHr/AHWDBggUUFRVx6aWX+gXuADfffDNvvvkm//vf/8jLywuoZT958mRf4A6QkJDABRdcwKxZs7j55pt9gTtAREQEF198MdOnT2fLli3NCt0nTZrkC9zB89r96U9/Yv78+cyaNcsXuh/uvgQrd2Oz2bDZmt4baubMmVitVqZPnx4w6O/kyZN57bXXmDt3bkDobrPZePDBB5sUuIMn3Ae44447fIE7gNVq5cEHH+TLL7/k3XffDQjdAR588EEF7iIiItLmRIVbiAoP7ME96Yw0LuieSG5Jja9X/M6SGg5UBvZ8zkoM/LvunbX7+SqnDFuYQcd4G1kJEXSICyc91kaH2HDS42wkRoYd81rqEZEW2new0L6D55OLphlYD97pNCkrDewRX1HmpqLMTV6OJ4g3DE99+FMHRpOQdPwFtYYlDFLaQ0p7jD79A+abVZV1Ybff9/2e6WVN+x/9mKms8Hzt3tlwr3lP0X/flxGXCPEJdT9758UlQly8AnoROWEodJeQ16dPn4Ca0ADfffcd4eHhfPzxx3z88ccB8x0OBwcOHKCwsNAX7FZWVvLKK68wf/58fv75Z8rLy/3+aNyzZ0+LtPmDDz5g2rRpnHrqqbz44osBtdMLCwt9JXBycnKorKz0m5+fn3/Ebfjxxx+xWCx+pUe8hg4dSlhYGD/99FPAvC5dugStS56R4emJU1JS0mKh+2mnnRYw7ccffwTw9Qqvz2q1MnjwYHJzc1m3bl1A6H7KKacErOOtmR5sXnp6OtD84x3smHbq1ImMjAxyc3MpKSkhISGh2fsydOhQ0tPTefHFF1m3bh3nnnsuAwcOpG/fvs0qe1RVVcX69etJTk7mlVdeCbpMREQEW7ZsCZiemZnZrBsQje1jt27d6NChAzt37vQdE6/IyEj69OnT5OcRERERCXXR4WH0SomiV4p/h4cKu4vc2gB+Z0kNucU19GgXFbB+brHnU412l8n2ohq2FwX2nI+0GqTH2rj+9DRO6+BfU900zWMSyAd7jrAwOPuCOF9P+OJCF6XFLg7O500TSopcRET6b8PhMPnhm0pi4y3ExYcRl2AhJi4Mq7Vt94o/mBEVDZmdIbMzwfbMrKmGQk8Abxbsg8J9ULAPs3YaxYXHusmH5in672tboz3nDQNi4+sF9An+gX18IninxSViHFSiUkSkLVHoLiGvoXrSRUVFOJ1Ov0Ekg6msrCQ5OdlXQ3r16tWcdNJJXHzxxSQnJ/tqTc+YMcNXvuNILF++nLvuuovMzExef/31gF7GJSUljB07lp07d9K/f3/Gjx9PYmIiVquVkpISZs6c2SLtKCsrIzExMWjvaKvVSnJyMgUFBQHzDv7UgJc39HW7A3uwHK76PaO9ysrKGpwHdSF6SUlgL5Bgde69PbaD3Ujw7pPD4QiY15iGQunU1FR27dpFWVkZCQkJzd6XuLg45s2bx/Tp01m4cCGLFy8GIDk5meuuu4477rgjoDZ6MMXFxZimyYEDBw75/jhYQ21tiHcfDx4Qtv728vLyfMfEq127dse8l5aIiIhIa4ixhXFSahQnpQYG7V6maZISY6W0xklRdWDpGq9qp8mO4hqCVZ+58cNthId5Qvn0uHA6xNlIr+0hnx4bji3s6NVXNwyD+MQw4hPDyO7qmeZympQWuygqrC1Lc8BFRbmbyCiDyCj/tpSXujxlafL8txsdYyEuwUJsfJgnjI/3PLaGH59/RxoRkdAhCzpkBQ/lHQ4o2u8J4mt7ynNgP6a3fE3RATBb7v+1Fmeant78ZSWQl9N4QA+e8jb1gvj6veaNuHiIifeE+LFxnsFhm/hpXRGRY0FXpDbq6lNSj6h8y62DOwSUnGmOP408dgMeNhTMxcXFYZpm0N7awSxYsIDVq1czYcIEnn32Wb95e/fubXY4GczWrVu54YYbiIyM5M033wwaYL777rvs3LmTKVOmBNTi/vbbb5k5c+YRtwM8x6e4uBiHwxEQ1DqdTgoLC4MG0cdSsNfW26b9+/cHXWfv3r1A0waSPVoKCgro3r17wHRvm737cDj7kpGRwfTp0zFNk82bN/P111/z+uuv88wzz+B2u7n33nsP2T7v9vr168eCBQuasWcNv98a4t3Hffv2BS2btG/fPr/lDvd5RERERI5nhmHw4Dme/7HKalzsLKlhd6md/DI7e8od7Cm3k1/moNLhCVTTDxqEtdrpZn9tGZvdZQ446IOcBpAcbfWVqbmufxrxEUe3zEeY1SApxUpSihXwfHLZbndTFWRg1rKS4DcaKivcVFa42bu7rkRPVIyF8y/y/1/AYTcxMbG10YFbm8oID4e0DEjLCB7KO51QUtvrvPgAZtGBusfFddOpqT7mbT8s3vI2ezx3YxosceMVFQ0xcb4g3oiNb+Tn2mnhoTWgsYgcPxS6S5t1+umn88UXX7Bp0yZ69ep1yOV37NgBwIUXXhgwb8WKFUfcngMHDvDrX/+aiooK3nzzTXr27Bl0ue3btze7Hd4e2S5Xw71eDtavXz+++uorVqxYwYgRIwKex+Vy0a9fvyZv71jxtmnZsmVcffXVfvOcTierVq0C4OSTTz7mbfNavnw5Q4YM8ZuWk5PD7t27ycrK8vXoPpJ9MQyDXr160atXL0aNGsWgQYNYsGCBL3Rv7JyIiYmhV69ebN68maKiIpKSko5wjxvWr18/fvzxR5YvXx4Qum/fvp38/Hyys7Mb/ASFiIiIiPiLiwijb1o0fdP8x74xTZOyGhf55Q7aRfv/K7+vovFPbprAgUonByqdrNtXxU0D/D+luL/CwV+X5pEaE05KtJWU2u/toj3fEyOtLTK4q81mCRqMp6aH03+wQVmpi/JSN2Wlnl7xwZLVuPjA9XN32PlpdRURkQZxCWGkppkkJtswLE5i4y1ERB7fYbyXYbVCuzTPFwQP5k0Tqio94XtxIWbxAU8P+eLC2mD+gOerpDi0e80HU1Xp+SrwdG46ZE96gIjIRoN6YuJqe9XHQXSs5ysqSrXpReSQFLpLm3XjjTfyxRdfcM899/CPf/zDV5/bq7Kykg0bNnDGGWcAkJXl6TmyfPlyLrjgAt9yOTk5/OUvfzmitlRXV/Ob3/yGnJwcZsyYERBy11e/Hb179/ZNX7duHS+88ELQdbyhaV5eXtDexMFcddVVfPXVVzz55JMMGDDAV+amqqqKJ554AiAgCA4Fo0ePJjExkf/85z/85je/8b1+AK+88go5OTmMGDEioJ77sTRz5kwmTJjgG0zV7Xbz+OOP43a7ufLKK33LHbwv9QdTDbYvGzduJCYmxneOeHnLANUvVVT/nAjmpptu4q677uKuu+7imWeeCQi9i4uLyc3NPeKbF1deeSXvvvsuzz33HBdccAHt2rUDPDcDHnvsMdxuN1ddddURPYeIiIiI1JZwibQSHxn4b3x2QgTvTezJ3nI7+eUOTw/5sroe8gWVDty1iWNylJUIq38InVdqZ/OBajYfCN4DOsyAdrUhfOfECG4Z5P+/l8ttYhhgOcxPM0ZFW8js7N/j2OUyqShz1wbxLspK3ZSXuIhPDAw7vT3la6pNaqqdFOz1L0VpizB89eI7ZIaTmn7i1go3DMNTtiU6BjKygwbzAKbbBaXFUFS/p7wnoDdLCn1BPVUVx7L5La+m2vNV6Pl0crBgPmCaYUBkdN1xjI6F6BiM6FiIiYWoGN93IybWN98b2qtWvciJQaG7tFkjRozggQce4IknnmD48OGce+65ZGdnU1FRwa5du1ixYgWDBg3i7bffBuAXv/gFnTt35h//+AcbN26kX79+5OXlsWjRIs4777wGw8umePXVV/n+++/p1KkTu3btYvr06QHLTJw4kaysLMaPH8/LL7/MQw89xLJly+jSpQvbt29n0aJFjBkzho8++ihg3eHDh/Pyyy9z7733MnbsWKKjo0lISOD6669vsE2XXXYZCxYsYN68eZxzzjmMGjUKwzBYsGABO3fuZNy4cVx++eWHvc9HS0xMDDNmzODmm29m/PjxXHTRRWRkZPDjjz+yZMkS0tLSeOqpp1q1jQMHDuSCCy5g3LhxxMfHs3jxYtavX88pp5zC7373O99yB+/LuHHj6NixI2vWrAm6L0uXLuWRRx5hwIABdO/enXbt2pGfn8/ChQuxWCzccsstvmW7detGeno6H330ETabjYyMDAzDYPz48WRmZnLVVVexdu1a3njjDYYNG8bIkSPp2LEjxcXF7Ny5k2+++YaJEyce8bEcOHAgv//973nppZc499xzfefnf//7XzZu3MigQYP8jomIiIiIHB1R4RY6J0XSOSkyYJ7DZbK/whPCVzsDey/vKW98TCmXCfsqnOyrcOJwBcaS/91ewssr99Iu2urpKR/t32Pe+3NcRFiTywyGhdXViT8U0wSLxTOmZzD2GpPC/S4K97uIirEEhO7rVldRWeEiOtpCdGwY0TEWomMsRMVYCD9O68cfimEJg8R2ni96NBzO11R7wvnaL7O0GMrqPS4thtISz7TKNh7Qe5mm52ZDVQUcqDc52KLB1g+31QviPWG84Q3l64X2RlS0J9yv/z0q+pgNmiwiR0ahu7Rpt956KwMHDmTmzJmsWrWKhQsXEhcXR3p6Otdccw2XXXaZb9no6Gjef/99nnjiCZYvX87KlSvJzs5m8uTJ3HTTTUHD7qaqqqoC8PV0D2bo0KFkZWWRnp7O3LlzmTp1KitXrmTx4sV0796dqVOnMmLEiKDtGDlyJA8++CDvvPMO//znP7Hb7WRmZjYaugO89NJLDBkyhFmzZvHWW28B0KNHD/7yl7/w61//+rD392gbNWoUH374Ic8//zyLFy+mrKyM1NRUfvWrXzF58uSATzUcaw8//DCfffYZ77zzDrt27SIpKYlJkyZxzz33EBnp/0/OwftSWlra4L6MHDmSvLw8vvnmGxYsWEB5eTlpaWmMGDGCm266iYEDB/qWDQsLY+bMmUydOpV58+ZRXl6OaZoMGjTI1wN/6tSpnHPOObz55pssXbqU0tJSEhMT6dixI7fccgtXXHFFixyPP/7xj/Tr14/XXnuNOXPm4HQ66dSpE/feey8333xz0MF8RUREROTYCQ8zyIi3kREf/O+yM7PjyYyPoKDSQUGF0/O9su57WU1dScOUmMAYoaDSidNtsrfcwd5yB1AV9HlsYQbndU0I6Cm/o6iaCrubhKgwEiOtxIRbmhUqnjYomlMHRFFZ4aas1I3bGUlxkZ2CfZWUl7qoX5ExOiaw1EzBXgdlJcET+3Cb4RfCZ3e1ERev0iJeRkQkpKZ7vghe0sbLdDh8gTylxZhlJUEC+9pp5aWecPt45LB7au+XFPomNTmwB/ZZLBhRMZgRkb4gnshoT0jvC+ijar/HYPgeHxTg2yIU3oscRYZpHq9XsdC1e/fuQy5TUFBASkrKMWhN6LHWjjjudDoPsaTIsTV58mRmz57NihUrAkrANIXO7SN3Il8bQ533dfGWQxI5XujcluOZzm9pqhqnmwO1IXyk1ULPlCi/+f9YtYdPNhc3aVtjeyUF1JT/2/J8vvi5riRMuMUgMTKMxChPPfmk2jA+MdJK37SooL3566t/bpumSVWl6StT06FjONGxdaG5aZp89kEJrib+iT7snFjapfnfeFixpJzwcMMXzEfHWIiOtRAVbSEsTKHm4TBdLk/wXttz3qwXzlNagllRBhVlUFbq+V5ZfvyG9EeLxVKvJ31U3VdElOdmSmSk72ciIj1fkdEYkbWPI7zL1y5ri8SwnBjjJ8jREYp/l2RkZBz2uurpLiIiIiIiIiINirBaGu0pf9PAdH51WhoFlQ5fOF9Q4WT/QT9XOd2kRAfGEMXV/om3w22yv9LJ/srAJHzSGWkBofv0r3ezp8xOUm1I3yG5gnbRNqyuqtrQ3kpCShhp6dagPXuHjoylqsJN5UFfVRXugJI1UQf1lHc6TPbvaTixj4g0iIi0EBllEBlpoW//KKz1StaYbhO3icL5gxhhYZCQ5Pmi8R70UFuDvqICKko9YX15GWZ5qV8wb9ZOp6LMs0xFWcM1iU4EbrfnZkVlecCsxm5fNHprwxvOR9QL7GtDeiMgwI8CW4RnXu13z88Rnu+2yLr5Yfp0ibQ9Ct1FRERERERE5IhEhVvISoggKyGiwWUq7C6CVbPISoig3O6mpNpJUZWTmiB1470Sgwwk+3NhNbtK69elLw66ri3M4I9nZ3JahxjfNMMw+O+eEqxhBnERYcTFh5EUEUanCBux4RbC3AbVlSaV5W4qK91ERfnvQGVF46GtZ3BXF6W1TTp5gP+nBMpK3SxZUEa4zSAyyj+gj4iyEBlp+H23WhXOB2NYwiAu3vPlnXaIdUy3G6oqPUG9L5ivF8iXl9b97A2nKyugOnj5JKFuYNogDjvIB7BaDwriI3yBPLYIDFtkwLT64b0v1A+3gc3mmR5e/7sNwoLflBM5XArdRUREREREROSoi7EF7616/elpfj9XOdwUVzsprnJSXO2iqNpZ+7OL7ITA3vYH95RviN1lEhXu31PdNE3eWVuAwx089rMYEGsL8wTytjDu7pRBakzdQKy2aIP4vgY2lwWLw8C0g6vapKrCTVWV6ZcmRkQaWCz+oV51lSe0d9hNHHazwdryAJHRBr8Yl+A3razExb58hy+sj4i0YIswCLcFPpf4MywWz8ClMbGQ5ikh0ZQjZrpcnkFUK8s9veuryjErKupC+XrfTb9ptY9P5N71h8vp9Hw1MBjvoUL7JhUeMiye8N0bwodH+Af0tdMN73S/AL/etHCbJ+T3bccG4eFgrffY+11B/3FNobuISBM9++yzPPvss63dDBERERGR41pUuIWocBsd4oKXsznYtNGdKaqqDearXdQYNooqHeQXl9cG906Kqlw43CZxBwX/NS6zwcAdwG1CaY2L0trBZMMPCrIrXW5mrMkPWC/SahAfHkayzUpCmJU4SxhRVgumGe8XspVVuQLWbUhkZGC97MICJ+vXBO9ZHB5u+AJ4W4RBuzQr3U/yL81TVenGYTd9y6jMzaEZYWEQG+/58k5r4rqmaUJNlS+sbyy0N6srPT3xq6s8Ib/3scN+6CeS5jPdjfbU9y3WlE0153nrB/HW8CA/ex4bB88/eNl66xjWcM+nA6y1y1mtdescPM8b/qsef4tT6C4iIiIiIiIibVaHOP+APthgfKZpUulwE2k9uKc7XHlyO8pqXJ4vu7vucY2LKqd/r+TYCP/QvqwmeGhe7TSpdjrZV1XXCz/SanCD4T+IbHWMm5nOPURiIRoLUYaFaMKINcKIDwsj1rAQbYQRYVrYHeS5Cksb7uXvcJg4HHXxX/1a8l7bt9SwbWON7+cwK9hsBrYIiy+It3lD+1QrKe3D/dZ3u0wMC+qt20SGYXgGL42MBlLrpjdjG+0SEjCrKjiQt6s2iPeE86bvcW1IX/vYF97XW5aqSnA6Wnz/5DA47LU3UoL34vdqTpB/WEMKh1mbHtRbwzHC60+zQpj3e5j/z1Zr3bbDrHU3BHzPV7ess6ocrFbM0rLg67ax64xCdxERERGRNsTtdmO327HZbFhCpFeS3W6nuLiYxMREbLam9Uw9mkLxGIVim5xOJ+Xl5TidTqxW/WsYTCi+bqHYplDjPUZut9t3jAzDCFreJircwi9PSQ2Y7uVwmZTbPQF8ud2F9aCe7laLweDMWMpqe8OX1S4brPN8VJgR8H6rcLgwgSrcVOGuS8tM4KAqJJ2iI7iSdn7T9uNgnbuCaDzhfBQWIrAQaQSeG5uLqjiDGL9pe4r9e027nFDlNKmqDAz4u51EQOj+/YpK9uQ5sIYbhIcbtd89Ab//NIO0DuHEJx70SYNqNxaLgTXcc2Mk1M7tUHy/GeHhGOGJGHb/Gy7NjSNNh8PTc766sjakr4aaKsza79RUe+bXVNXOq8b0/lxT7Vves0w12GsO/aQSulxOz9chevp7HVawf4j1DhxqZV8AH+Z57Pt+0DRr8GlGwLTw2p/rby/c/+dfTjrMPVXoLiIiIiIS8pxOJ5s3b2bx4sVs2bLFN71Hjx6MHDmSnj17HvPQtLy8nLfeeot33nmHPXv2YBgGpmmSnp7OL3/5S6699lpiY2OPWXtC8RiFYpuqq6tZtGgRs2bNIicnBwCXy0XXrl258sorOf/884mMjDzEVo5vofi6hWKbQk39Y5Sbmwt4zvcjPUbhYQZJUVaSooKv2zHexgNnZ/pN8/aqLyit5MuvV7DwyyXsKSyhFDj7me/93m/R4WGc0j6aCoebCruLytrvwcaSjQkPDH1rotyscJcFTDeACAxPAI+FCMNCF1vgILeFDieVptu3nKWRnqTf7i2nD/4DweYV2bGYhq8mfWNKXU5OT/T/vfDVl2VUlnnWc7pqcDqrcbpqCA83SEyKIzExlnCbhfBwg+xuNmLj/EP7ogNOLBYIsxpYrZ7yOGFWjqie/YnyfjPCa0uL1Bt8Fpoe3h98nIxwExsmJ3XpxJkDzqBLh3TCHA5PkB8kwKemyhPU19R45ttr6r68P9fUgL3a85EUEe+NgcN0WGfREYTuhmnqzD3Wdu/efchlCgoKfB+JO9F4f3k5nYf/RhIJRTq3j9yJfG0MdcE+xi1yPAiFczs/P5+ZM2dSUFBATEwMSUlJvoC7qKiIiooKUlJSmDRpEh06dDgmbfriiy+4++67qaioIDw8nOjoaF+bKisrcTgcxMTEMG3aNM4777yj3p5QPEah2KY1a9bwwAMPUFRURGRkJKmpqRiG4fukQnV1NUlJSUydOpVTTz31mLQp1ITi6xaKbQo1Bx+jjh07YhgGFRUVIfN+S0xM9L1uh3q/maaJ3WUGBPERVgt906L9ll2RW8aibSV+y1U73VQ5TZwHdbc/u3M8U87M8Jv2ynd7mbexyPdzOIYnpMcg0qgN7GtD+87ZNq4703/Q29kfHCDSEXyA3IM5slxcPqyup35+fj5LFocRY2naJ6RSTwljSO84v2kfvV+EYQaJiQ0wwjxjY1rCPKH8GcOiaZdY11Pf5TJZv7aKcG+PfKtBWVkJX/73c4qKD2CzhREbG4VpOnG5HRQc2B0S77cT7W8T0zQ9pXACwvi6n017dcC0+gG+6Z3usIPd7pnuqPfdYQdX08dXkBNH1iffHva6x03ofuDAAWbNmsWaNWsoKysjKSmJgQMHMn78+Gb1sGmp7TRGoXvjFEzK8Urn9pE7ka+NoS4U/vgXORpa+9zOz8/nb3/7GxaLheTk5AaXKywsxO12c/vttx/1EOCLL77gtttu85RqiIlpcLmKigpM0+T5558/qsF7KB6jUGzTmjVrmDx5MoZhkJSUBEB4uCd8cjjq6voWFRVhmibPPvvsCRe8h+LrFoptCjXBjlF0tCeYrqys9C3X2u+3YI72+83hMj0BvMNNtdNNhNWgfax/wP397nI2FlT5lql2mFQ5XVQ5Taodbqqcbt/3i09K4uqDSvFMXbKLVbvKsWHBhkE4BjbD89jzZfFNO6V3FONO87xG3tetz8l3EG2xYQtSDudgsf0Mzumb4PvZNE0+fr+kyccja0g4p3Wq+71VU+1m4X9Km7z+j7vfJsJd7TuXfnP97WxYG4lpABZPbXsMAyMMLBZv4G94euLb4NxhCYTV64FfWuZkW24N4WGewN8WbhBu9XzZwg3CwyxYrYbnpoHF8NXk198mR4fpcoHDG9bb6wJ6R93Ppi+wD7JMvUDf9Av0HZ6bBsEeH0GvbTk2TvjQfc+ePfz5z3+mpKSEAQMG0LFjR7Zu3cpPP/1ERkYGjz32GHFxccdsO4ei0L1xCibleKVz+8idyNfGUNfaf/yLHC2teW47nU6efPJJqqqqGv2n1quwsJCoqCj+7//+76h97L28vJwRI0Zgt9sbDdy9KioqsNlsLF269KiUmgnFYxSKbaquruaKK66gqqrKLwAMFrqDJwiMiori3//+9wlTaiYUX7dQbFOoaegYBQvdoXXfbw1p6++3nOIaiqqc1Djd1LjM2u9uapyewN9eb9rILgmcmh7j97rt7noB5eEJuI0wwowwwg2rX1DvDe/DsTB6UBxndk/0PbfLZfLmvwvADdbawN9a+xWsTE63s2z06VD3SYHKchdffBJYmicYt2myLv9dIt1VgOdcSkjuTu/My5q0foXp4ooJyYSH1bVr7eZKclbbG1mrTpHh4NcTPTc8vH+bfPzFdnZtcuDGxDQ8pTNMAzDM2u91X9Y4g4nn+o8HsGZLBVt2VtfeIPDcHPA9Njxhv8XwTGuXYKV/t1i/1y4hrQdOawzgBtMNpgtwgbv2u+mmuKiAqAgbd995B3FRrT/mS6gx3S5wOMFpDx7K1/tuOuzgdHqmOQPnez4N4PluOh2eZZ2123M667btqve4/nwJ6khC9+PiN/HMmTMpKSnh+uuvZ8yYMb7pb7zxBp988gnvvvsuN9100zHbjoiIiIjIkdq8eTMFBQVkZWU1afnk5GRyc3PZvHkzffr0OSpteuutt6ioqCAxMbFJy8fExFBcXMxbb73FLbfc0uLtCcVjFIptWrRoEUVFRU3uaZiUlER+fj6LFi3ioosuOiptCjWh+LqFYptCTSgeoxPt/dYpMYJOiYG14htT/3VLLvYPtEwMXIYFtxGGywjDbYThJoz8ggPY+o0DEn3LhoUZpJ5qpdzu8pTjcXm+O2q/XE43TieYTk/lkP7R/r30jTBYbZZhmHVhff3wPtyo+9kEjHoj2yYnJ1Nc0fSBQ52YWA/qzO90Nr0PbLAa/9U1JhFm7UYPsal9zsBwP2+3g4iCwNJAJlAbm/usjqqkf7dYv9cuNmkIGRHpjT9x7dvgnQV7uPnSbL9Zsz45gLPM9NwsAEyj7jFQeyPBBANSOlu5eKD/zcf3Fx6gtNzld3MBo7Ymvfdx7fdTTopmQFf/m/9zlxZSbnf5lvPeqPE89nxSwcDAsMCgk2LJTq47z023yedrSzwlnCyedb3reG5UGBh4ShtZMDg1O5q4SKvf+t/vqvA9l8WwYBiRWIxIDItBWCQY0d7tGmQnRvgN4uxym+yrcHieE6PedjyPDTyDR1tqj0VMuAWj3o0ot2niNr3LAaaJ4XKBy1F7E6BeIO8IHtSbjnrBvsvpeez97nR6tuVy1ZvuWd70W6ZuOi4nYbWlhFy1Nw/8ttsGy/+0+dB97969rFmzhtTUVEaNGuU3b+LEiSxatIilS5fy61//utG7xi21HRERERGRlrB48eIm9SavLzo6msWLFx+1MOmdd97x9Y5uKqvVyjvvvHNUQvdQPEah2KZZs2Y1+3+YyMhIZs2a1SZDwMMRiq9bKLYp1ITiMdL77dAae90MTKymq7bXdB27q4RVXy1m4Cn+r9vYXof+NEFDoqLCePCqLEzT5MWX/86u/D0kJKVQaVgwa4N/NxZcRhimYSHB7R9cOxx7WVW+nDPOGIzTZeJymTid4HaZuNzgdpq4azuBuzD9Qk+AiEiDfGsNhtvA8GS3WExPWBtmegJTCwZhGDgtgam6y9300D5Y2Xu3y3MroUlqF6v/2hlNKAnkVVYWWMbH4oB4o5FY0qz7Xl0dGLgapdDe1bTe8/uLgvTk3m2QSNP+pslLsfuF7i431GwC74EJbJ3p93h3goNe9UL38nIXu5c3rXe5w3STeImV5HqDOe/cXcP3X1XW3bCofR6/mxa1X2Wmk5uvbu+3zTWbK1i7uspvuYNbbmIBIqi0hnPbeP+bK1+vKWX9luqgp4/3RgkYYDExk+DmC/2f/4vvSti2PXB9w2LBANxm7Q0uA2KTLfzy7FRMt9sTvLscLPiunJ37XBi17TXMulYbpv9epMeWMza12FM+qDa8/7Qgnb01UZ7lTGpvq5memw9m3WMw+WPgLjZZmw/d161bB8Cpp56KxeL/ho+KiuKkk05izZo1bNmyhZNPPvmobwfgvvvuCzr9qaeeAmhSaYTCwsIT5iOBDTnR91+OXzq3D5/FYlF5mRDlPa/1+sjxprXObbfbTW5uLllZWQH/pDcmKiqK3NxckpOTA/6mPVJ2u519+/aRkJDQrG3HxcWxb98+4uPjsdla7qPloXiMQrFNTqeTnJwcOnToENAm78/BbqSkpqaSk5NDYmLicf+3Syi+bqHYplDT2DHy7ru3zEx9rfV+a4zeb4d2tN9vebk7yQ5ok7e/d20JLmuU33rZUVHkbv0f199zzWG16ewUOHtQ48u43CZOtxuXG6Jtnl7p3nNk9MgsdhdV43C6sTtNHA43Tpcbp9P0fNU+drlMsuPiAv6W6dUTNoSV1t4YMHG7TUzTc5MA06z97qmd3yE92vdJEe9rZ1JNqbsGo7acj0HdjQLP49re3oZBTXVlwGtnMYpoqshIW0D7DZq+fkxM1BGtHxcX67e+w+4Gmj6eQHJSAikp8b6fLUYNUN6kdU0gJTmZ5Ji6v6H2F5VgM6qbtL4LM2DfI352k2w0LfQvcDsCj51ZQzruhj9hUW/6/prA9V1V5XRwNe0TMoUVroD1a/63jQ72pt10KguPI/WCEf7rv7qFtAYGYG7qfaimaPNXc2999IY+upWens6aNWvIz89vNCxvqe3I8eXpp59m2rRpfPDBB5x55pm+6e3bt2fYsGHMnTu3FVtX57LLLmPZsmXs3bu3tZviZ/HixTz99NNs2bKFkpISRo8ezRtvvNHazZLDdPvttzNr1ixWrVpFdnb2oVcQEZHDZrd7etM1J5DwLm+aJna7vcU/nVlYWAjQ7GDBu3xhYSHp6Yf4GHozhOIxCsU2lZeXH3abvOs3tZxQWxWKr1sotinUhOIx0vvt0ELxdQvFNnmFWQzCLIElYAASYm0kxB7+zeyhp6Uw9LSmdyqorvaEvN7j5C7/mqYOQ1uWsxO7/Vy/43TNlZ2x22tvFLg8NxhcLrfnRoPLcxPA5TJxuU3apwUe3zOGJlNW6cRde8PAVXvzwOX23DBwmyZul6eMysmd4wPWT8iOoMbuxvTebDC93/HdbPA+7tguKmB9VzS4TTwr1Oa/3uUN8OtyXr+0jOcggtMw6/9Yt169ad4bGtaww0+CLUFWbdbgnsHWP8LhQY94dNFmrN/Mt3WLavOhu3dglGB3sOtPr6ioOCbbgboe7Q1pykBcbrf7hB1sMZQGm3S7PR9pcblcAe0xTfOYtXHy5MnMnj2bFStWBK1X6L3ghcIx88rNzeW6664jPj6eiRMnEhcXR/fu3UOqjcdaS57by5YtY8KECUyZMoW77rrriLfXFI29H44Vt9utgTpDlAZSleNVa53bbreb6upqKioqmhUCmKZJTU0NpaWlvvCnJdvk/Ru1uW3yrtuSxzFUj1GotcnpdOJyubDb7QFtamggVW+bXC4X1dXVx/21PRRft1BsU6hp7Bg1NJAqtN77rTF6vx2a3m912ubfJtUNHieLAbZDpZNmBQUF/nlcl44AwW9IBKqhoMC/Bv85Q4Pnf8FVU1Dg37P80nGJTV/dXUlBgf/16LKJTSuNZJom9vISCuodunYJJqMvT/B8IsGsC7EPfkxtWaODz5WemZCVHFdvHc923GZtiRq352aFaUJYeOD6/bpZKWwX6VnHbdbdXzD9t2cC/aIiA9fvaWNfO6OuiguesjSRkdFgQkWlp3QOJvRMtAWs36u7jYIih28Z7zffDZN67emWbg1Yv1MXG8WlTt/xrb88QR4frjYfuh+KN4xs7h3Lo7UdOT4sWbKEqKjAO52t5bnnnqOqqqq1m+Fn6dKlVFdXM23aNC67rGkjuktou//++/nDH/7Qor0URUQkOIvFQo8ePcjLyyM5OfnQK9QqLCykR48eR6WshM1mIz09nQMHDjSrhnJFRQXp6ektWloGQvMYhWKbrFYrXbt2JS8vj6Skptc+Li4upmvXrsd9qQsIzdctFNsUakLxGOn9dmih+LqFYptCkY5T6wiWQ1osBhbvKKmHIdxmIfwI/ixLiLeSEH/416uO7W10bB/YgKbeUDqpWxRw+JncgJObNxbI4WrzZ3xjd7ABXxDZUA/2lt6OnBi6d+9Ox44dW7sZPh07dqR79+6t3Qw/3lI37du3P8SS0la0b9+e7t27N3sAPREROTwjR45s0qcs66usrGTkyJFHp0HAL3/5y6C9ohvjdDr55S9/eVTaE4rHKBTbdOWVV/rKAjRVdXU1V1555VFqUegJxdctFNsUakLxGOn9dmih+LqFYptCkY6TSNO1+dA9IyMDgPz8/KDz9+zZAzRcq72ltyMtJzc3l44dOzJ58mS2bdvGLbfcwimnnEJmZibLli3zLbd48WJ+9atf0a9fP7p06cKwYcN47LHHKCkJHNTi66+/5t5772XkyJH06tWLbt26ce655zJjxoxm/WHUsWNHxo8f7/t52bJldOzYsdGv+m2eP38+t912G8OHD6d79+706NGD0aNHM3PmTF8Jj/rPNXv2bACGDBni297gwYN9y4wfPz7oTQC3282//vUvLrzwQnr06EH37t258MILeeONNwKep/5+FRYWcu+999K/f3+6dOnCOeecw6xZs5p0bLzHYtq0aQBMmDAh4Bh422u323nmmWcYMWIEXbp0YfLkyb7trF27lhtvvJFTTjmFLl26MGjQIO6///6gdesnT55Mx44d2blzJ6+99hojR46ka9euDB48mL/97W++T6rMmzePsWPH0r17d0455RT++Mc/Nut19z5PTk4O/+///T/OOussunbtyhlnnMFDDz1EWVlZ0PW8+9KnTx+ysrIa3Zf9+/fz6KOPMmLECLp3707v3r0ZMWIEkydPJicnx9eOCRMmADBjxowGzzOADz/8kPHjx9OnTx+6du3K2WefzbPPPktNTU3Ac3tf/3379nH33XdzxhlnkJWV5Xvtvfufm5sbsO5HH33E5ZdfzkknnUS3bt0477zzeP7554M+z+DBgxk8eDBlZWU8/PDDDB48mE6dOjF9+vRDvAIiIieWnj17kpKS4qulfiiFhYWkpKTQs2fPo9ama6+9lpiYmCb/w11RUUFMTAzXXnvtUWlPKB6jUGzT+eefT1JSEkVFTRs0rqioiKSkJM4///yj1qZQE4qvWyi2KdSE4jHS++3QQvF1C8U2hSIdJ5Gma/OfXerbty8Aa9aswe12+31cpaqqio0bN2Kz2ejRo8cx2Y60vJycHMaNG0fXrl257LLLqK6uJi7OU3vqmWeeYdq0aSQmJnL++eeTkpLChg0b+Pvf/86XX37JRx995FsW4KWXXmLr1q0MGDCA8847j5qaGlatWsX06dNZtmwZs2bNIiysqTXB6mRlZTFlypSA6Q6Hg3/+859UV1f7laOZOnUqFouF/v3706FDB0pLS/n666958MEH+eGHH3j++ed9y06ZMoX58+ezfv16Jk2aREJCAgDx8YEDgRzs9ttvZ+7cuWRkZHD11VdjGAbz58/ngQceYNWqVbzwwgsB65SUlHDJJZdgs9kYO3YsNTU1fPLJJ0yZMgXDMJg4cWKTjsXy5ctZvnw5EyZM8NWhP7ge/Y033siaNWs455xzGD16NO3atQPg888/56abbsI0TcaOHUtmZiZr167lX//6FwsXLuTDDz8MWtv+scceY9myZfziF7/grLPO4vPPP+epp57C4XCQmJjI1KlTGT16NIMGDWLp0qW8/vrruFwunnzyyUMey/oefvhhvvnmGy666CISEhJYvHgxr7zyCitXrmTu3Ll+g8PU35eLLrqIzMxM1qxZE3RfqqqquPTSS9mxYwdnnXUWv/jFLzBNk127drFw4ULGjh1Lp06dGD16NACzZ89m6NChDB061O/4e91111289957dOjQgTFjxhAfH8/333/P008/zVdffcV7770X8BHW4uJixo0bR0xMDGPGjMFisZCamtro8XjiiSd44YUXSE5O5tJLLyUmJob//ve/PPnkkyxZsoR33303oHe8w+Fg4sSJFBcXc/bZZxMbGxv0NRUROZFZrVYmTZrE3/72NwoLCxv9KHdhYSFut5tJkyYd1fIEsbGxTJs2jdtuu80XqDekoqIC0zSZNm0asbGxR6U9oXiMQrFNkZGRTJ06lcmTJ/sCvoYUFRVhmiZTp0497gfirC8UX7dQbFOoCcVjpPfboYXi6xaKbQpFOk4iTWeYRzrkbAj4y1/+wpo1a7j++usZM2aMb/obb7zBJ598wvnnn89NN90EeD7eunfvXsLCwgLqEjdnO0di9+7dh1ymoKDAV8voROO9GG/fvp0hQ4YA8Ic//IH777/fb7mvv/6aiRMncsYZZ/Dmm2/6wmiAWbNmMWXKFG644QYeeeQR3/ScnByys7MDamL99a9/5bnnnuOll17ikksu8U2fPn06M2bMYPbs2QwbNsw3vWPHjgwdOpQ5c+Y0ui/eAVAPbseOHTvo3Lmz37Jut5s777yTOXPmMG/ePE4//fSA7TQ0kOr48eNZvnw5eXl5vmkffvght956K/369eODDz7w/VNcWVnJFVdcwdq1a3nhhRf86q17e8tfffXVPPXUU74bEJs3b+b888+na9euLF68uNF99mro2NVvb+/evXn//ff9flFXVFQwePBgSkpKmDNnjl+P/hdffJGpU6dy1lln8e677wYcn8zMTD788EPfJ1JKSko488wzfTc9PvjgA9+Ns5qaGkaNGkVOTg6rVq1q0vvN+zxJSUnMnz+fzMxMwPPa3XzzzXz66afcfffd3HnnnUH35cwzzwQ816Fg+7Jw4UKuv/76gPMFwG63Y7fbfaHFoQZS9b4HxowZw/PPP+9308f72jzyyCPccMMNvune1/+KK65gxowZAX8YBTsPv/32Wy655BIyMjL45JNPSEtL8+3jpEmTWLRoEffddx+33367bzuDBw9m165dDB8+nNdee61ZZbtO5GtjqNNAqnK8CoVzOz8/n5kzZ1JQUEB0dDTJyckYhoFpmhQWFlJZWUlKSgqTJk06Zp/K/OKLL7j77rupqKjAarUSExPja1NFRQVOp5OYmBimTZvGeeedd9TbE4rHKBTbtGbNGh544AGKioqIjIwkNTUVwzCw2+0UFxdTXV1NUlISU6dO5dRTTz0mbQo1ofi6hWKbQs3BxygzMxPDMKioqAiZ91tiYqLvddP7zSMUz+1QbNPB9LeJHK9C4dw+mLcyyuE4Lm41TZo0iT//+c+89tpr/Pjjj2RmZrJlyxZ++uknOnTowNVXX+1btrCwkDvvvJPU1FRefPHFw95Oa9u0rorNPwWWbQgmu6uNUwf6h1prVlWy82d7k9bv2TeCXv38ByhYubScvbudzVrncKWmpgbtRf7qq68C8PTTT/sF7uCpozdz5kzmzp3rF1526tQp6HPccMMNPPfccyxZssQvdD8SzzzzDLNnz2bUqFE89NBDfvMODtzBMyjJDTfcwJw5c1iyZIlf6H443nvvPQAeeOABv15o0dHRPPDAA1x11VW88847AYOcRkVF8dBDD/n1+O/ZsycDBw5kxYoVlJeXt1hvtXvuuSfgzviCBQsoKiri0ksv9QvcAW6++WbefPNN/ve//5GXlxdQUmfy5Ml+v9ATEhK44IILmDVrFjfffLPfJ1UiIiK4+OKLmT59Olu2bGlWkDtp0iRf4A6e1+5Pf/oT8+fPZ9asWb7Q/XD3JVgvF5vN1qwB6GbOnInVamX69OkBg/5OnjyZ1157jblz5/qF7t7nefDBB5vcE8FbeuaOO+7wBe7guXn24IMP8uWXX/Luu+/6he5eDz74oMbJEBFpgg4dOvB///d/bN68mcWLF7NlyxbfvB49ejBy5Eh69ux5THuRnXfeeSxdupS33nqLd955hz179vj+2U5PT+eXv/wl11577VHr4X6wUDxGodimU089lX//+98sWrSIWbNm+UrXuVwuunbtypVXXsn5559/QvW4PVgovm6h2KZQc/Axys3NxTRNampqQub99vPPP/vm6f3mEYrndii2KRTpOIkc2nFx9qenp/PEE0/w/vvv88MPP7B69WqSkpIYM2YMEyZMaPIf+y21HWlZffr0ISIiImD6d999R3h4OB9//DEff/xxwHyHw8GBAwf8PvJUWVnJK6+8wvz58/n5558pLy+n/oc9vLX7j9QHH3zAtGnTOPXUU3nxxRcDRukuLCz0lcDJyckJGMC3obEFmuPHH3/EYrH4lR7xGjp0KGFhYfz0008B87p06eJXksfLe3evpKSkxd4Lp512WsC0H3/8EcDXK7w+q9XK4MGDyc3NZd26dQGh+ymnnBKwjncg12DzvJ92ae7xDnZMO3XqREZGBrm5uZSUlJCQkNDsfRk6dCjp6em8+OKLrFu3jnPPPZeBAwfSt2/fZpU9qqqqYv369SQnJ/PKK68EXSYiIsLvDyOvzMzMZt2AaGwfu3XrRocOHdi5c6fvmHhFRkbSp0+fJj+PiMiJzmq10qdPH/r06YPb7cZut2Oz2QL+xjiWYmNjueWWW7jlllt8PaUTExObdZO4JYXiMQrFNkVGRnLRRRdx0UUXkZiYSHl5OdXV1QpG6gnF1y0U2xRq6h+j5ORk7HY7paWlIfN+czqdvrJcer/VCcVzOxTbFIp0nEQad9xc6VNSUvj9739/yOXS0tJ4//33j3g7cuw0VE+6qKgIp9PJjBkzGl2/srKS5ORkXw3p1atXc9JJJ3HxxReTnJzsqzU9Y8YM7Pam9f5vzPLly7nrrrvIzMzk9ddfD+hlXFJSwtixY9m5cyf9+/dn/PjxJCYmYrVaKSkpYebMmS3SjrKysgb/8bVarSQnJwf9yM7Bnxrw8oa+wQZgPVz1e0Z7eQcjDTYP6kL0YAPlBqtz7/2DNtiNBO8+ORyOJrbYo6FQOjU1lV27dlFWVkZCQkKz9yUuLo558+Yxffp0Fi5c6Cvlk5yczHXXXccdd9wRUBs9mOLiYkzT5MCBA4d8fxysobY2xLuP3n0Jtr28vDzfMfFq165dQJknERFpGovFEnI9I202W7N/hxxNoXiMQrFNVquVxMTEkPoYd6gJxdctFNsUarzHqLy8vLWb4mO1Whv8X0s8QvHcDsU2hSIdJ5FAx03ofqLp1S/qiMq3nDowOqDkTHMMGnHsev03FMzFxcVhmmbQ3trBLFiwgNWrVzNhwgSeffZZv3l79+5tdjgZzNatW7nhhhuIjIzkzTffDPrP57vvvsvOnTuD1uL+9ttvmTlz5hG3AzzHp7i4GIfDERDUOp1OCgsLgwbRx1Kw19bbpv379wddZ+/evUDTBpI9WgoKCujevXvAdG+bvftwOPuSkZHB9OnTMU2TzZs38/XXX/P666/zzDPP4Ha7uffeew/ZPu/2+vXrx4IFC5qxZw2/3xri3cd9+/YFLZu0b98+v+UO93lERERERERERNoKfeZD2qzTTz+d4uJiNm3a1KTld+zYAcCFF14YMG/FihVH3J4DBw7w61//moqKCv7xj3/Qs2fPoMtt37692e3w9sh2uVxNbk+/fv1wu91Bt7lixQpcLhf9+vVr8vaOFW+bli1bFjDP6XSyatUqAE4++eRj2q76li9fHjAtJyeH3bt3k5WV5evBciT7YhgGvXr14re//a1voNX6AXpj50RMTAy9evVi8+bNFBUVNXf3msW7j8GOyfbt28nPzyc7O1u9ekRERERERETkhKHQXdqsG2+8EfAMxhmsFntlZSXfffed7+esrCwgMBzMycnhL3/5yxG1pbq6mt/85jfk5OTw1FNPMWLEiAaXbagd69at44UXXgi6TlJSEgB5eXlNbtNVV10FwJNPPklVVZVvelVVFU888QRASA0O7DV69GgSExP5z3/+4/f6Abzyyivk5OQwYsSIgHrux9LMmTPZtWuX72e3283jjz+O2+3myiuv9E1v7r5s3LiR3NzcgOfzfuS7fqmiQ50TN910E3a7nbvuuitoKZ7i4mJfPfYj4d3f5557jgMHDvimu1wuHnvsMdxut+9cFBERERERERE5Eai8jLRZI0aM4IEHHuCJJ55g+PDhnHvuuWRnZ1NRUcGuXbtYsWIFgwYN4u233wbgF7/4BZ07d+Yf//gHGzdupF+/fuTl5bFo0SLOO++8ZgXaB3v11Vf5/vvv6dSpE7t27WL69OkBy0ycOJGsrCzGjx/Pyy+/zEMPPcSyZcvo0qUL27dvZ9GiRYwZM4aPPvooYN3hw4fz8ssvc++99zJ27Fiio6NJSEjg+uuvb7BNl112GQsWLGDevHmcc845jBo1CsMwWLBgATt37mTcuHFcfvnlh73PR0tMTAwzZszg5ptvZvz48Vx00UVkZGTw448/smTJEtLS0njqqadatY0DBw7kggsuYNy4ccTHx7N48WLWr1/PKaecwu9+9zvfcgfvy7hx4+jYsSNr1qwJui9Lly7lkUceYcCAAXTv3p127dqRn5/PwoULsVgs3HLLLb5lu3XrRnp6Oh999BE2m42MjAwMw2D8+PFkZmZy1VVXsXbtWt544w2GDRvGyJEj6dixI8XFxezcuZNvvvmGiRMnHvGxHDhwIL///e956aWXOPfcc33n53//+182btzIoEGD/I6JiIiIiIiIiMjxTqG7tGm33norAwcOZObMmaxatYqFCxcSFxdHeno611xzDZdddplv2ejoaN5//32eeOIJli9fzsqVK8nOzmby5MncdNNNQcPupvL2JM/JyWmwNvzQoUPJysoiPT2duXPnMnXqVFauXMnixYvp3r07U6dOZcSIEUHbMXLkSB588EHeeecd/vnPf2K328nMzGw0dAd46aWXGDJkCLNmzeKtt94CoEePHvzlL3/h17/+9WHv79E2atQoPvzwQ55//nkWL15MWVkZqamp/OpXv2Ly5Mmkp6e3avsefvhhPvvsM9555x127dpFUlISkyZN4p577gkYPObgfSktLW1wX0aOHEleXh7ffPMNCxYsoLy8nLS0NEaMGMFNN93EwIEDfcuGhYUxc+ZMpk6dyrx58ygvL8c0TQYNGkRmZiYAU6dO5ZxzzuHNN99k6dKllJaWkpiYSMeOHbnlllu44oorWuR4/PGPf6Rfv3689tprzJkzB6fTSadOnbj33nu5+eabgw7mKyIiIiIiIiJyvDJM0zRbuxEnmt27dx9ymYKCAlJSUo5Ba0KP1eq5F+R0Olu5JSL+Jk+ezOzZs1mxYoWvTFBz6Nw+cifytTHUeV8XbzkkkeOFzm05nun8luOVzm05nun8luNVKJ7bGRkZh72uarqLiIiIiIiIiIiIiLQQhe4iIiIiIiIiIiIiIi1EobuIiIiIiIiIiIiISAtR6C4i0kTPPvsseXl5h1XPXURERERERERETgwK3UVEREREREREREREWohCdxERERERERERERGRFqLQXURERERERERERESkhSh0D2GmabZ2E0REQoauiSIiIiIiIiLSFih0D1GGYeB2u1u7GSIiIcPtdmMYRms3Q0RERERERESkUQrdQ5TNZqOmpqa1myEiEjJqamqw2Wyt3QwRERERERERkUYpdA9RUVFRVFVVUVlZicvlUlkFETkhmaaJy+WisrKSqqoqoqKiWrtJIiIiIiIiIiKNsrZ2AyQ4q9VKQkICVVVVFBcXn1Chu8XiuRek8jpyvNG5fXgMw8Bms5GQkIDVql9bIiIiIiIiIhLalF6EMKvVSlxcXGs345hLSUkBoKCgoJVbItKydG6LiIiIiIiIiBz/VF5GRERERERERERERKSFKHQXEREREREREREREWkhCt1FRERERERERERERFqIQncRERERERERERERkRai0F1EREREREREREREpIUodBcRERERERERERERaSEK3UVEREREREREREREWohhmqbZ2o0QERERERERERERETkeqKe7iIiIiIiIiIiIiEgLUeguIee+++7jvvvua+1miLQ4ndtyPNP5LccrndtyPNP5LccrndtyPNP5Lcer4+3cVuguIiIiIiIiIiIiItJCFLqLiIiIiIiIiIiIiLQQhe4iIiIiIiIiIiIiIi1EobuIiIiIiIiIiIiISAtR6C4iIiIiIiIiIiIi0kIM0zTN1m6EiIiIiIiIiIiIiMjxQD3dRURERERERERERERaiEJ3EREREREREREREZEWotBdRERERERERERERKSFKHQXEREREREREREREWkhCt1FRERERERERERERFqIQncRERERERERERERkRai0F1EREREREREREREpIVYW7sBcuK49dZb2b9/f9B5CQkJ/POf/wyYvmnTJj744AM2b96Mw+EgPT2dc845hzFjxmCx6J6RhI7mnN/79u3jD3/4Q4PbGjZsGJMnT27pJoockQ0bNvDJJ5+wefNmysvLiY2NJTs7mwsvvJDTTz/db1ldu6Wtacr5rWu3tCWLFy/mpZdeanQZwzCYNWuW3zRdvyXUNffc1rVb2qLvv/+eTz/9lF27dlFWVkZSUhJdu3bloosuomfPngHL69otbUVTz+3j5dqt0F2OqejoaC688MKA6ZGRkQHTVq1axfTp0wkPD2fYsGHExsby3Xff8cYbb7Bp0yamTJlyLJos0mTNOb8BOnXqxMCBAwOmZ2dnt3jbRI7Ev//9b2bNmkVcXBxnnHEGiYmJlJWVsWPHDtavX+8XuuvaLW1Nc85v0LVb2obOnTszfvz4oPM2btzIunXr6N+/v990Xb+lLTiccxt07Za246233uKjjz4iLi6OgQMHEhcXx549e1i1ahXffPMNt956K2eddZZveV27pa1o7rkNbf/ardBdjqmYmBgmTpx4yOUqKyv5f//v/2GxWHj44Yfp1q0bAFdeeSWPPvooK1as4Ouvv+bMM8882k0WabKmnt9enTt3btbyIq1h+fLlzJo1i5NPPpm7776bqKgov/lOp9P3WNduaWuac3576dotbUHnzp3p3Llz0Hl//OMfATj//PN903T9lraiued2/fV07ZZQV1xczLx580hISGDatGkkJCT45q1bt45HH32U999/3xdM6totbUVzz22vtn7t1udMJCStWLGC0tJShg0b5vvFAWCz2bjqqqsAWLhwYWs1T0TkhOB2u3n77beJiIjgjjvuCAgkAazWuvv3unZLW9Lc81vkeLBz5062bNlCcnKy36c4dP2Wtq6hc1ukLdm/fz+madKjRw+/UBKgX79+REVFUVpa6puma7e0Fc09t48X+k9CjimHw8H//vc/CgoKiIyMJDs7mz59+gTUGVu3bh0Ap512WsA2evfuTUREhK9eWXh4+LFousghNfX89ioqKuLzzz+nrKyMuLg4evbsSadOnY5xq0UatnnzZvbt28eQIUOIiYnh+++/Z+fOndhsNrp37x5QU1LXbmlLmnt+e+naLW3ZokWLADj33HP9/j7R9VvauobObS9du6Ut6NChA1arla1bt1JaWkp8fLxv3vr166mqqvIrtaFrt7QVzT23vdr6tVuhuxxTxcXFvPDCC37T0tLS+P3vf0+fPn180/Lz8wHIyMgI2EZYWBhpaWnk5uayd+9eMjMzj26jRZqoqee319q1a1m7dq3ftL59+3LrrbeSkpJyVNsq0hRbt24FPIMB33fffezcudNvfu/evbnrrrt8fzTp2i1tSXPPby9du6WtstvtLF26FMMwOPfcc/3m6fotbVlj57aXrt3SFsTGxnLNNdfwr3/9iylTpvjVvf7uu+845ZRTuOmmm3zL69otbUVzz22vtn7tVugux8zIkSPp3bs3mZmZREVFsXfvXubPn88XX3zB1KlTefzxx331+SorKwHPwJTBeKd7lxNpbc05vyMiIrjiiisYOHAg7du3ByAnJ4fZs2fz008/8eijj/LXv/61wQFYRY4V70f8Pv/8c9LS0vjzn/9Mjx492L9/P//6179Ys2YNM2bM4OGHHwZ07Za2pbnnt67d0tYtW7aMiooKTj/99IB/VHX9lrassXNb125pa8aOHUtqaiovv/wyX3zxhW96eno6I0eO9CvNoWu3tCXNObePl2u3arrLMTNhwgT69etHYmIiERERZGdnc9NNNzF27FjsdjuzZ89u8rZM0zyKLRVpvuac3wkJCVx55ZV07dqVmJgYYmJi6NOnD3/605/o0aMHe/bs4csvv2zFvRHxcLvdgOeaO2XKFE4++WQiIyPJysrinnvuoV27dqxfv57Nmzc3aXu6dksoae75rWu3tHXef3CDDTJ5KLp+Syhr7NzWtVvamv/85z/MmDGDkSNH8vzzz/Pmm2/y5JNP0r59e/72t7/x1ltvNXlbunZLKGnOuX28XLsVukuru+CCCwDYsGGDb9qh7shWVVX5LScSqoKd3w0JCwvzfSR2/fr1R7VdIk0RExMDQPv27X2f1PCy2WyceuqpQF2ZDl27pS1p7vndEF27pS3YtWsXmzZtol27dkEHmdT1W9qqQ53bDdG1W0LRTz/9xNtvv82AAQO47rrraN++PREREXTt2pW7776b5ORk5s2bx969ewFdu6XtaO653ZC2du1W6C6tzlsrtaamxjetQ4cOAOzevTtgeZfLxb59+wgLC/N9zEQkVAU7v1tyeZGjyVsf0htOHsw73W63A7p2S9vS3PO7Mbp2S6j7/PPPATjnnHOCDjKp67e0VYc6txuja7eEmu+++w7w1Kw+WEREBN27d8c0TbZv3w7o2i1tR3PP7ca0pWu3Qndpdd6Pbaelpfmm9evXD4AffvghYPkNGzZQU1NDz549NQK3hLxg53djtmzZAqA/jCQk9O7dm7CwMPLz83E6nQHzc3NzAUhNTQV07Za2pbnnd2N07ZZQZrfb+d///tfoIJO6fktb1JRzuzG6dkuo8f494h135mDe6VarZ3hGXbulrWjuud2YtnTtVugux0Rubi7l5eUB0/fv38+rr74KwIgRI3zThwwZQlxcHMuWLWPbtm2+6Xa7nffeew+oK9sh0tqae35v2bIlaMCzbt06Pvnkk4DlRVpLfHw8Q4cOpbKykjlz5vjNW7t2LWvWrCE6OprTTjsN0LVb2pbmnt+6dktbtWLFCioqKujfv3/AIJNeun5LW9SUc1vXbmlLTjrpJAAWLVpEYWGh37zVq1ezadMmwsPD6dWrF6Brt7QdzT23j5dr96FvIYi0gOXLl/Of//yHvn37kpaWRmRkJHv37uX777/H4XDQv39/Lr74Yt/y0dHR3HzzzcyYMYOHH36YM888k9jYWL799lt2797NkCFDGDZsWCvukUid5p7fb7/9Nrm5ufTt25fk5GQAdu7cybp16wC48sorfb9sRFrbddddx9atW/nggw/YsGED3bp1o6CggJUrV2KxWLj55pt9ZTh07Za2pjnnt67d0lYtWrQIaHwAVV2/pS1qyrmta7e0JUOGDOHkk0/mxx9/5M4772TgwIEkJiaSl5fH999/j2maXHPNNcTFxQG6dkvb0dxz+3i5dhumhjOWY2D9+vUsXLiQHTt2UFxcTE1NDdHR0XTu3JmzzjqLs846C8MwAtbbuHEjc+fOZfPmzdjtdtLT0znnnHO48MILm12zT+Roae75/eWXX7Jy5Upyc3MpLS3F5XKRkJBAz549GT16NL17927FvREJVF5ezr///W9WrlxJYWEhUVFRnHTSSVx66aX07NkzYHldu6Utaer5rWu3tEW7du1iypQptGvXjhdffPGQ12Bdv6WtaOq5rWu3tDVOp5MFCxawbNkydu3aRU1NDbGxsXTv3p0xY8b4BnqvT9duaQuac24fL9duhe4iIiIiIiIiIiIiIi1Et7xERERERERERERERFqIQncRERERERERERERkRai0F1EREREREREREREpIUodBcRERERERERERERaSEK3UVEREREREREREREWohCdxERERERERERERGRFqLQXURERERERERERESkhSh0FxERERERERERERFpIQrdRURERERERERERERaiEJ3EREREREREREREZEWotBdRERERERERERERKSFKHQXEREREREREREREWkh1tZugIiIiIhIqFu8eDH79u1j0KBBdO7cubWbI8DKlSvZsWMHffv2pW/fvq3dHBERERERH4XuIiIiIiKHsHjxYtavX09aWppC9xCxatUqlixZAqDQXURERERCisrLiIiIiIiIiIiIiIi0EIXuIiIiIiIiIiIiIiItxDBN02ztRoiIiIiIhKLFixfz0ksvNTg/NTWVF1980fez0+lk0aJFLFu2jNzcXGpqakhMTKRfv35cfPHFZGZmBmzjxRdfZMmSJYwfP57LL7+c//znP3z11Vfs37+fuLg4Bg4cyMSJE4mNjQXg559/5oMPPmDTpk1UVlaSnZ3NZZddxqBBgxpsf58+fXj44YdZvHgxn3/+Obt27QKgW7duXHzxxZx22mmNHodvv/2WL7/8ki1btlBeXk5MTAzdu3dn9OjRQdc9+HmXLl3KokWLyM3Npby8nLvvvptBgwbhdrtZv349q1atYuPGjRQWFlJeXk58fDzdu3dnzJgx9OvXz2/bP/30E4888kij7X3//feDtqOhZefMmcPZZ5/Nrbfe6pu+b98+/vCHP/iW2bx5M/PmzWPTpk2UlJQwZswYfvOb3/gt//HHH7NmzRoOHDiAxWKhQ4cODB06lNGjRxMZGdlom0VERETk+KGa7iIiIiIiDbDZbCQkJFBeXo7L5SIqKgqbzeabHx8f73tcVFTE1KlTycnJAcAwDCIjIykoKGDx4sV8/fXX3H777QwePDjoczmdTh577DE2bNhAeHg4AAcOHGD+/Pls2bKFRx55hDVr1vDss8/idDqJiorC4XCwbds2pk+fzh133MGwYcMa3JfXX3+dTz/9FMMwiI6OprKyknXr1rFu3TquvfZaLr744qBteumll/jqq69806KioigtLeX777/n+++/5+KLL+baa69t8HlfffVV5s+f73tewzB883bt2sWjjz7q+zk8PByr1UpRURGrVq1i1apVXHXVVVx++eW+ZaxWKwkJCVRWVuJwOIiIiDjqgfayZct4/vnncblcREdHY7H4f2D4m2++4W9/+xsOhwPwnDdOp5Pt27ezfft2vvrqK/70pz+RmJh4VNspIiIiIqFBobuIiIiISAOGDRvGsGHDePjhh1m/fj3XX389I0eODFjO6XTy17/+lZycHHr37s1VV11Fjx49sFqtFBcX89FHH/Hxxx/zwgsv0KlTJ9LT0wO2sXDhQmw2G//3f//n6z3+3Xff8cILL7Bt2zbmzJnDwoULGT58OFdffTWJiYmUlpby97//nW+//ZY33niDwYMHExYWFrDtHTt2sH79ei655BIuu+wyoqOjKSoq4s033+Srr77i7bffpmfPnpx00kl+67311lt89dVXpKamcvXVVzNgwAAiIyOprq7mq6++4s033+Sjjz6ic+fODB8+POB5f/75ZzZs2MDEiRMZM2YMMTExvrAcPAH6kCFDOPvss+nWrRsJCQkYhkFJSQmLFi1i9uzZzJo1i5NPPpkePXoA0KtXL/75z3/6PiEwbtw4Jk6c2NyXtln+/ve/M2DAAH71q1+RlpaGy+XiwIEDAGzdupVnn30W0zS55JJLGDVqFO3atcM0TbZt28brr7/Oli1bePHFF/njH/94VNspIiIiIqFBNd1FRERERI7QkiVL2LZtG926deNPf/oTvXv3xmr19G9JTEzk17/+NRdccAE1NTV88sknQbdRWVnJ5MmTOf3007FYLFgsFgYOHMi4ceMA+PDDD+nSpQu/+93vfD2m4+Pjuf3224mKiqKoqIhNmzY1uO1zzz2Xa665hujoaACSkpK47bbb6Nu3L6ZpMnv2bL918vPz+eyzz4iJieHBBx9k+PDhvh7lkZGRnH/++dx8880AzJ07N+jzVldXc8kllzB+/HhiYmIAiI6OJiEhAYCMjAymTJnCGWecQWJioq8XfEJCAldccQXjx4/HNE0+//zzQ78IR1GnTp248847SUtLAyAsLMz3+I033sDlcnHttddyzTXXkJKSgmEYWCwWevTowf33309SUhJr1qxh27ZtrbkbIiIiInKMKHQXERERETlCS5YsAWDUqFG+0jAH8/YEX7t2bdD5PXv2pE+fPgHTTznlFN/jyy67LGB+ZGSkrxd4bm5ug22sX6LFyzAM3zbXrVtHeXm5b96SJUswTZOBAwfSvn37oNscPHgw4eHh5ObmUlRUFDDfYrFw0UUXNdimQxkwYABAgzcTjpVx48YFlJQB2LNnD5s2bcJms3HBBRcEXTc2Npb+/fsDDb/2IiIiInJ8UXkZEREREZEj4HK52Lp1KwD/+te/ePvtt4Mu53a7AXxlSQ6WnZ0ddHr9uvFZWVlBl/H2HK+oqAg6PyUlxdcz+2AnnXQSFosFt9vNjh07fAOXbt68GYAVK1awevXqoOuCp7QOePYrKSnJb156erpf+4Ox2+0sXLiQb7/9ll27dlFRUYHL5fJbprCwsNFtHG09e/YMOt17jJxOp98grAerrq4GGn7tRUREROT4otBdREREROQIlJeX+4Ln+j3FG2K324NOb2iQzfo9rA8OtQ9extuOgyUnJzfYHpvNRkxMDGVlZZSWlvqme3uuV1dX+0LjxtTU1ARMO1TgXlRUxMMPP0x+fr5vWkREBDExMRiGgdvtpqysLOi2j6WG9sN7jNxuNyUlJYfcTmvvh4iIiIgcGwrdRURERESOgGmavsdPP/00nTp1asXWtBzvfv3mN7/hwgsvPKxtBCvJUt/rr79Ofn4+7du359prr6Vv377Exsb65u/Zs4fbb7/9sJ67JTW0H95j1KVLF5566qlj2SQRERERCWGq6S4iIiIicgRiY2N9oeyuXbtauTXBBau37mW3231laer36PaWrDla++R0Ovn2228BuO222xg8eLBf4A40qfd4Y7yvi8PhaHCZysrKw96+9xjl5+cHlMQRERERkROXQncRERERkUMwDAPw79XuZbVa6datGwDffPPNMW1XU+3fv599+/YFnbdx40bcbjeGYdC5c2ffdG8d8++++67BsjVHorS01BeGd+nSJegyP/74Y4Pre1+TxsTExACN11Lftm3bIbfTEO8xqq6uZs2aNYe9HRERERE5vih0FxERERE5hKioKKDhgUrPPvtswBO6r1u3rtFtNaXu+9Hw4YcfBkwzTZP//Oc/APTr18+vp/nZZ5+NYRgUFRUFXbe+w9mn6OhoX3C+c+fOgPlFRUV89tlnja4PDb8mUDc4bWFhIT///HPA/A0bNrBp06Zmtbu+jh070qNHDwDefvvtRmvf2+32Rnvci4iIiMjxQ6G7iIiIiMghZGVlAbBy5cqg5UjOPfdcevTogWmaPPXUU3z66ad+QXRJSQlfffUVDz/8MJ9++ukxa7dXVFQUixYt4p133vG1v7i4mBdffJEff/wRwzCYMGGC3zqZmZmMHTsWgPfff59XXnmFvXv3+uZXV1ezdu1ann/+eZ555plmtykyMtIXWL/88svs2LED8AxK+uOPP/Lwww83un5mZiYAP/zwQ4Plc1JTU+nevTsAL774oi/cdzqdLF++nKefftrXG/5w/fa3vyU8PJzc3Fweeugh1q5d6ys143a7yc3N5d///je33XZbo2V+REREROT4oYFURUREREQO4ayzzmLevHls3LiRSZMmER8fj9VqJTk5mcceewyr1cq9997LtGnT2LRpE6+//jpvvPEG0dHRuFwuvx7Qffv2Pebt79KlC507d+bDDz/ko48+IioqisrKSl+5nGuuuYaTTjopYL1rr70Wu93OwoULfV9RUVFYLBa/9Q93n6677joeeeQRdu7cyb333ktERASmaWK324mNjeV3v/sdTz/9dNB1Bw0axDvvvEN+fj633HILCQkJhIeHA56A3ev666/nkUceITc3l7vvvpvIyEicTidOp5NTTz2Vbt268cEHHxxW+wG6devG3XffzXPPPcf27dt5/PHHsVqtvmNcv9Z7U0riiIiIiEjbp9BdREREROQQOnbsyJ/+9Cc+/PBDtm3bRnFxcUB994SEBB555BGWLVvG0qVL+fnnnykvL8dqtdKxY0d69erF4MGDOfnkk1tlH37zm9/QuXNnFi5cSF5eHpGRkXTt2pVLLrmE0047Leg6FouFG264geHDh/P555+zceNGiouLAUhJSaFLly4MHDiQgQMHHlabevToweOPP87s2bNZv349NTU1JCUlceqpp3L55ZfjdrsbXDc+Pp6HHnqI2bNns2nTJkpLS4Mu36NHDx599FFmz57Nxo0bsdvtdOjQgbPPPpuLLrqIOXPmHFbb6+vfvz/PPfccn332GatXr2bPnj1UVFQQExNDRkYGp556KkOHDiU1NfWIn0tEREREQp9hBhsNSkRERERE2rzFixfz0ksv0adPn0OWaxERERERkZahmu4iIiIiIiIiIiIiIi1EobuIiIiIiIiIiIiISAtR6C4iIiIiIiIiIiIi0kIUuouIiIiIiIiIiIiItBANpCoiIiIiIiIiIiIi0kLU011EREREREREREREpIUodBcRERERERERERERaSEK3UVEREREREREREREWohCdxERERERERERERGRFqLQXURERERERERERESkhSh0FxERERERERERERFpIQrdRURERERERERERERaiEJ3EREREREREREREZEWotBdRERERERERERERKSFKHQXEREREREREREREWkhCt1FRERERERERERERFqIQncRERERERERERERkRai0F1EREREREREREREpIX8f2JZXjv28o2vAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 281, + "width": 750 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "\n", + "plt.plot(t, mean_prob_t, lw=3, label=\"average posterior \\nprobability \\\n", + "of defect\")\n", + "plt.plot(t, p_t[0, :], ls=\"--\", label=\"realization from posterior\")\n", + "plt.plot(t, p_t[-2, :], ls=\"--\", label=\"realization from posterior\")\n", + "plt.scatter(temperature, D, color=\"k\", s=50, alpha=0.5)\n", + "plt.title(\"Posterior expected value of probability of defect; \\\n", + "plus realizations\")\n", + "plt.legend(loc=\"lower left\")\n", + "plt.ylim(-0.1, 1.1)\n", + "plt.xlim(t.min(), t.max())\n", + "plt.ylabel(\"probability\")\n", + "plt.xlabel(\"temperature\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Above we also plotted two possible realizations of what the actual underlying system might be. Both are equally likely as any other draw. The blue line is what occurs when we average all the 20000 possible dotted lines together.\n", + "\n", + "\n", + "An interesting question to ask is for what temperatures are we most uncertain about the defect-probability? Below we plot the expected value line **and** the associated 95% intervals for each temperature. " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 283, + "width": 750 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.stats.mstats import mquantiles\n", + "\n", + "# vectorized bottom and top 2.5% quantiles for \"confidence interval\"\n", + "qs = mquantiles(p_t, [0.025, 0.975], axis=0)\n", + "plt.fill_between(t[:, 0], *qs, alpha=0.7,\n", + " color=\"#7A68A6\")\n", + "\n", + "plt.plot(t[:, 0], qs[0], label=\"95% CI\", color=\"#7A68A6\", alpha=0.7)\n", + "\n", + "plt.plot(t, mean_prob_t, lw=1, ls=\"--\", color=\"k\",\n", + " label=\"average posterior \\nprobability of defect\")\n", + "\n", + "plt.xlim(t.min(), t.max())\n", + "plt.ylim(-0.02, 1.02)\n", + "plt.legend(loc=\"lower left\")\n", + "plt.scatter(temperature, D, color=\"k\", s=50, alpha=0.5)\n", + "plt.xlabel(\"temp, $t$\")\n", + "\n", + "plt.ylabel(\"probability estimate\")\n", + "plt.title(\"Posterior probability estimates given temp. $t$\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The *95% credible interval*, or 95% CI, painted in purple, represents the interval, for each temperature, that contains 95% of the distribution. For example, at 65 degrees, we can be 95% sure that the probability of defect lies between 0.25 and 0.75.\n", + "\n", + "More generally, we can see that as the temperature nears 60 degrees, the CI's spread out over [0,1] quickly. As we pass 70 degrees, the CI's tighten again. This can give us insight about how to proceed next: we should probably test more O-rings around 60-65 temperature to get a better estimate of probabilities in that range. Similarly, when reporting to scientists your estimates, you should be very cautious about simply telling them the expected probability, as we can see this does not reflect how *wide* the posterior distribution is." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### What about the day of the Challenger disaster?\n", + "\n", + "On the day of the Challenger disaster, the outside temperature was 31 degrees Fahrenheit. What is the posterior distribution of a defect occurring, given this temperature? The distribution is plotted below. It looks almost guaranteed that the Challenger was going to be subject to defective O-rings." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "image/png": { + "height": 200, + "width": 758 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 2.5)\n", + "\n", + "prob_31 = logistic(31, beta_samples, alpha_samples)\n", + "\n", + "plt.xlim(0.995, 1)\n", + "plt.hist(prob_31, bins=1000, density=True, histtype='stepfilled')\n", + "plt.title(\"Posterior distribution of probability of defect, given $t = 31$\")\n", + "plt.xlabel(\"probability of defect occurring in O-ring\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Is our model appropriate?\n", + "\n", + "The skeptical reader will say \"You deliberately chose the logistic function for $p(t)$ and the specific priors. Perhaps other functions or priors will give different results. How do I know I have chosen a good model?\" This is absolutely true. To consider an extreme situation, what if I had chosen the function $p(t) = 1,\\; \\forall t$, which guarantees a defect always occurring: I would have again predicted disaster on January 28th. Yet this is clearly a poorly chosen model. On the other hand, if I did choose the logistic function for $p(t)$, but specified all my priors to be very tight around 0, likely we would have very different posterior distributions. How do we know our model is an expression of the data? This encourages us to measure the model's **goodness of fit**.\n", + "\n", + "We can think: *how can we test whether our model is a bad fit?* An idea is to compare observed data (which if we recall is a *fixed* stochastic variable) with artificial dataset which we can simulate. The rationale is that if the simulated dataset does not appear similar, statistically, to the observed dataset, then likely our model is not accurately represented the observed data. \n", + "\n", + "Previously in this Chapter, we simulated artificial dataset for the SMS example. To do this, we sampled values from the priors. We saw how varied the resulting datasets looked like, and rarely did they mimic our observed dataset. In the current example, we should sample from the *posterior* distributions to create *very plausible datasets*. Luckily, our Bayesian framework makes this very easy. We only need to create a new `Stochastic` variable, that is exactly the same as our variable that stored the observations, but minus the observations themselves. If you recall, our `Stochastic` variable that stored our observed data was:\n", + "\n", + " observed = pm.Bernoulli(\"bernoulli_obs\", p, observed=D)\n", + "\n", + "Hence we create:\n", + " \n", + " simulated_data = pm.Bernoulli(\"simulation_data\", p)\n", + "\n", + "Let's simulate 10 000:" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Multiprocess sampling (4 chains in 4 jobs)\n", + "CompoundStep\n", + ">Metropolis: [beta]\n", + ">Metropolis: [alpha]\n", + ">Metropolis: [bernoulli_sim]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [44000/44000 00:06<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 10_000 draw iterations (4_000 + 40_000 draws total) took 7 seconds.\n" + ] + } + ], + "source": [ + "N = 10000\n", + "\n", + "with pm.Model() as model:\n", + " beta = pm.Normal(\"beta\", mu=0, tau=0.001)\n", + " alpha = pm.Normal(\"alpha\", mu=0, tau=0.001)\n", + " p = pm.Deterministic(\"p\", 1.0/(1. + at.exp(beta*temperature + alpha)))\n", + " observed = pm.Bernoulli(\"bernoulli_obs\", p, observed=D)\n", + " \n", + " simulated = pm.Bernoulli(\"bernoulli_sim\", p, shape=p.shape)\n", + " step = pm.Metropolis()\n", + " trace = pm.sample(N, step=step)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(10000, 23)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 303, + "width": 725 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 5)\n", + "plt.style.use(\"ggplot\")\n", + "simulations = trace.posterior.bernoulli_sim.data[1]\n", + "print(simulations.shape)\n", + "\n", + "plt.title(\"Simulated dataset using posterior parameters\")\n", + "figsize(12.5, 6)\n", + "for i in range(4):\n", + " ax = plt.subplot(4, 1, i+1)\n", + " plt.scatter(temperature, simulations[1000*i, :], color=\"k\",\n", + " s=50, alpha=0.6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that the above plots are different (if you can think of a cleaner way to present this, please send a pull request and answer [here](http://stats.stackexchange.com/questions/53078/how-to-visualize-bayesian-goodness-of-fit-for-logistic-regression)!).\n", + "\n", + "We wish to assess how good our model is. \"Good\" is a subjective term of course, so results must be relative to other models. \n", + "\n", + "We will be doing this graphically as well, which may seem like an even less objective method. The alternative is to use *Bayesian p-values*. These are still subjective, as the proper cutoff between good and bad is arbitrary. Gelman emphasises that the graphical tests are more illuminating [7] than p-value tests. We agree.\n", + "\n", + "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[8]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x), but I'll summarize their use here.\n", + "\n", + "For each model, we calculate the proportion of times the posterior simulation proposed a value of 1 for a particular temperature, i.e. compute $P( \\;\\text{Defect} = 1 | t, \\alpha, \\beta )$ by averaging. This gives us the posterior probability of a defect at each data point in our dataset. For example, for the model we used above:" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "posterior prob of defect | realized defect \n", + "0.43 | 0\n", + "0.35 | 1\n", + "0.35 | 0\n", + "0.36 | 0\n", + "0.41 | 0\n", + "0.27 | 0\n", + "0.25 | 0\n", + "0.33 | 0\n", + "0.66 | 1\n", + "0.51 | 1\n", + "0.32 | 1\n", + "0.19 | 0\n", + "0.42 | 0\n", + "0.73 | 1\n", + "0.43 | 0\n", + "0.23 | 0\n", + "0.30 | 0\n", + "0.14 | 0\n", + "0.21 | 0\n", + "0.15 | 0\n", + "0.21 | 1\n", + "0.20 | 0\n", + "0.63 | 1\n" + ] + } + ], + "source": [ + "posterior_probability = simulations.mean(axis=0)\n", + "print(\"posterior prob of defect | realized defect \")\n", + "for i in range(len(D)):\n", + " print(\"%.2f | %d\" % (posterior_probability[i], D[i]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we sort each column by the posterior probabilities:" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "probb | defect \n", + "0.14 | 0\n", + "0.15 | 0\n", + "0.19 | 0\n", + "0.20 | 0\n", + "0.21 | 0\n", + "0.21 | 1\n", + "0.23 | 0\n", + "0.25 | 0\n", + "0.27 | 0\n", + "0.30 | 0\n", + "0.32 | 1\n", + "0.33 | 0\n", + "0.35 | 1\n", + "0.35 | 0\n", + "0.36 | 0\n", + "0.41 | 0\n", + "0.42 | 0\n", + "0.43 | 0\n", + "0.43 | 0\n", + "0.51 | 1\n", + "0.63 | 1\n", + "0.66 | 1\n", + "0.73 | 1\n" + ] + } + ], + "source": [ + "ix = np.argsort(posterior_probability)\n", + "print(\"probb | defect \")\n", + "for i in range(len(D)):\n", + " print(\"%.2f | %d\" % (posterior_probability[ix[i]], D[ix[i]]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can present the above data better in a figure: I've wrapped this up into a `separation_plot` function." + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 100, + "width": 784 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "from separation_plot import separation_plot\n", + "# plt.tight_layout()\n", + "figsize(11., 1.5)\n", + "separation_plot(posterior_probability, D)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The snaking-line is the sorted probabilities, blue bars denote defects, and empty space (or grey bars for the optimistic readers) denote non-defects. As the probability rises, we see more and more defects occur. On the right hand side, the plot suggests that as the posterior probability is large (line close to 1), then more defects are realized. This is good behaviour. Ideally, all the blue bars *should* be close to the right-hand side, and deviations from this reflect missed predictions. \n", + "\n", + "The black vertical line is the expected number of defects we should observe, given this model. This allows the user to see how the total number of events predicted by the model compares to the actual number of events in the data.\n", + "\n", + "It is much more informative to compare this to separation plots for other models. Below we compare our model (top) versus three others:\n", + "\n", + "1. the perfect model, which predicts the posterior probability to be equal 1 if a defect did occur.\n", + "2. a completely random model, which predicts random probabilities regardless of temperature.\n", + "3. a constant model: where $P(D = 1 \\; | \\; t) = c, \\;\\; \\forall t$. The best choice for $c$ is the observed frequency of defects, in this case 7/23. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 98, + "width": 775 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize(11., 1.25)\n", + "\n", + "# Our temperature-dependent model\n", + "separation_plot(posterior_probability, D)\n", + "plt.title(\"Temperature-dependent model\")\n", + "\n", + "# Perfect model\n", + "# i.e. the probability of defect is equal to if a defect occurred or not.\n", + "p = D\n", + "separation_plot(p, D)\n", + "plt.title(\"Perfect model\")\n", + "\n", + "# random predictions\n", + "p = np.random.rand(23)\n", + "separation_plot(p, D)\n", + "plt.title(\"Random model\")\n", + "\n", + "# constant model\n", + "constant_prob = 7./23*np.ones(23)\n", + "separation_plot(constant_prob, D)\n", + "plt.title(\"Constant-prediction model\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the random model, we can see that as the probability increases there is no clustering of defects to the right-hand side. Similarly for the constant model.\n", + "\n", + "The perfect model, the probability line is not well shown, as it is stuck to the bottom and top of the figure. Of course the perfect model is only for demonstration, and we cannot infer any scientific inference from it." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Exercises\n", + "\n", + "1\\. Try putting in extreme values for our observations in the cheating example. What happens if we observe 25 affirmative responses? 10? 50? " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2\\. Try plotting $\\alpha$ samples versus $\\beta$ samples. Why might the resulting plot look like this?" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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RyWQQRREuueSSx3ze733vexd8L3t7e+e9/+2fp20VhiE+//nPA2AH9Ze//GW4rrvVdqeccgre/va3AwAmJibwta99bbuOsyv853/+Z+friy66qLMQ9FwrV67EhRdeuOBrAP77/+Y3vwkAOPLII/Gxj31swWP99V//NV796lcDAP74xz/iZz/72bLn12q18KpXvapzzHPOOQc//OEPkc/nl33t7mStxdve9ja87W1vg7UWL3zhC3H11VdjYGBgq20vvPBCjI6OwvM8fOtb30Jvb++C+zz00EPxr//6rwCAq666Cvfff/8uvYYt7ejv/uW0f7cB/H2xlG3pdL/++uvx4he/GNVqFV1dXbjiiiu2aa0TERER2fkUwouIiMhebW6gMDfYjKIIv/nNbwCgs4ArAKxduxb777//ktuvXbsWBx100JLH7e7uxl/8xV8s+vzTn/70ztf33XffVs+fc845nUD8y1/+8lbPJ0nSCWSPOOKIeTcSttXmzZs7i/e94AUvwOrVqxfddrmQ/4orrgDABXHPPffcRbcbGBjAK1/5SgDApk2b5t3oqFQq+PnPfw4AeMUrXrFgGDtX+0bIww8/jIcffrjzePs6Jicn8f3vf3/Jfexup59+OlauXLno8+2fi/Hx8c5Njbb/7//7/zoLOr7qVa9a8jj9/f049thjAaDzc7ujjDFL3oQ56aSTcOSRRwIArrzyym1eeBcAbr31VoyNjQFg0Nzd3b3otn//93/f+br987anxHHcWSz06KOPxkknnbTotqeffjoOOeQQAFu/P9dcc03ne3r22WcvetMJ2L7rn5mZwQte8AJ85zvfAQC8733vw1e+8pVl/03tbq1WC69+9avxH//xHwD4HvzoRz9a9EbB9773PQDAiSeeiLVr1y6577k3Sh/rv4Ht8Vh/9y9l7u/oiy++eLv+rW2pXq/jVa96FWq1GgqFAq688kr8yZ/8yQ7vT0RERB4bhfAiIiKyV5sbxPzqV7/qfH3LLbegUqkAwFYBdvvvi22/LVPwhx12GBxn8f9Tau4E9szMzFbPDw0N4SUveQkA4Dvf+U7n2G1XXnklHnroIQA7PgU/NwB/xjOeseS2T37ykxeckt9yXwcffPCCE8FznXjiiZ2v2zcBAAayURQBAD7wgQ/AGLPkn/POO6/z2rkToq95zWsQBAEA4C//8i9x8skn4+Mf/zh+85vfoNlsLnluu1o7rF7MUj8XN910U+frgw46aNn355ZbbgEw/73ZEQceeOCy39P2z8/09HTn53JbzP0ZfNaznrXktqtXr+4Er3N/bvaE+++/v/NvcrnzBmZ/5qempua9P9tz/U972tM6/waXuv5Nmzbh5JNPxjXXXAPXdfFf//Vf+MAHPrDsOe5u5XIZZ5xxBr797W8D4CdoLrrookVvRMRx3PmZvvbaa5f9+W/fhAIe+7+B7fFYf/cv5aSTTsLhhx8OAPjMZz6DI444Av/yL/+Cn/70p5icnNyufV111VVYv349AOD888+fd3NAREREdj+F8CIiIrJXO+qoozA0NASAwU17crA95X7wwQdjzZo1817TDuEX2h7YthB+ucqHuSHNlpUsbW9605sAcEL8W9/61rzn2tPxmUwGr3vd65Y9n4WMj493vm6/R4vxfX/JeoP2vlasWLHscedOgs89h5GRkWVfu5hardb5+pBDDsEPfvCDzrlcd911eOc734k/+ZM/QXd3N5773OfiwgsvRL1e3+Hj7ajH8nOxo+/P3PdmRyz3swHM/77P/Z4uZ+622/Ozsz3H2BV29Ly3fO327CeTyXQC3KWu/4orruiE++eddx7e+MY3Lnt+e8Ktt96Kq6++GgDwkpe8BB/+8IeX3H5ycrJzk257PdZ/A9tjZ/zuX4znefjxj3+Mpz71qQCAu+++Gx/96Efxohe9CP39/Tj++ONxwQUXbNNNh7kVPdtyI0lERER2rcU/DykiIiKylzjllFNw2WWXYXx8HHfccQeOPfbYzpT7QjUu7ccW2h7YthB+Z3juc5+Lww8/HP/3f/+Hr3zlK52J95GREfzv//4vAOBlL3vZgt3J28sYs+w221J9sC37WWz7uQHbBz/4wc4nAbbFgQceOO/vZ5xxBu6//3784Ac/wOWXX47rrrsODzzwAJrNJq655hpcc801+MhHPoIf/ehHy/bGP1603x/HcXDrrbduc7VIJpN5TMfdWT8bO+M4O7LtrvZYfuZ3dD9Lbfsnf/InuO+++7Bx40Z87nOfw9Of/vRl64v2hGOOOQZxHOOuu+7CD3/4Q3ziE5/A+eefv+j2c38/vPjFL142tJ9rW24k7S0OOeQQ/O53v8NVV12FH/3oR7juuutw++23I45jrFu3DuvWrcMnPvEJfOlLX8JrXvOaRfcz98bEY/0dISIiIo+dQngRERHZ65166qm47LLLAHCi/aijjlqwD77tsMMOw4oVK7Bp06attl+7du1Wge+udO655+Jtb3sbbrrpJvzhD3/Ak570JFx66aWdHuml+teXM3eyffPmzUtuG0XRknUH/f392LBhwzZNYG7atKnz9dxqhrmVJ41GA8ccc8yy+1pKLpfDq1/96s6Clhs3bsSVV16JL3/5y7juuuuwfv16vOQlL8Hdd9+9V4RQ7fcnSRIUCoVOz/iuttzPBjB/Sn9bFoRcaNvt+dnZ3QvqbmlHzxuYf+5b7meptSZarRYmJia22seWDj74YFx88cV47nOfi0ceeQSvfe1rEYbhDn9iZlfp7+/Hd7/7XZx22mm4/fbb8Y53vAOtVgvvec97Ft3eGANrLcbHxx/z74e9mTEGp512Gk477TQArPa59tpr8c1vfhPf/va3UavVcOaZZ+LJT34yjjrqqD18tiIiIrItVEcjIiIie725i7P+6le/wq233trp4l0ohAeAk08+ecHt5+5rdzjrrLOQzWYBAF/5ylcAABdddBEA4NBDD31MU/lPetKTOl/feOONS277+9//Hq1Wa9l93XfffRgdHV1yX9dff33n6+OOO67z9ZOf/OROVcPPfvazJfexI1auXInXve51uPbaa/GiF70IAPDQQw/ht7/97Xbva09MYrcrKIBd8/4s5oEHHlj2e9r++enu7u4sbLwt5v4M3nDDDUtuu2HDhk6f+tyfm7bd+T056KCDUCwWASx/3gA6P2M9PT3z3p/tuf6bb765c/Ntoeuf69BDD8W1116L/fffH3Ec4/Wvf31nIefHk6GhIVxzzTV48pOfDAB473vfiwsuuGDBbX3f77xfN954Y+eGxK7yePq0xXJKpRJe9KIX4Rvf+AY++tGPAmDVTfvm80LOP/981Ot11Ov1HVrYW0RERHYuhfAiIiKy1zvyyCMxPDwMgD3v11xzDQBOtR9wwAELvmZuL3x7e2D3VdG09fX14RWveAUA4L//+79xxRVX4O677wYAvOENb3hMQdHw8HAnzLv88suXnOht3wBYzPOf/3wArCVZatuJiQl897vfBcAO7LkhZF9fX+emyK233rrLgmZjDP70T/+08/flAuaFtG+MANhti72++MUv7lTQfPrTn95tPdfWWlxyySWLPv/b3/4Wd955JwDgtNNO266fyac85SmdOqVvf/vbSy5U+cUvfrHzdfvnba7292R3fD9c18Xznvc8AMAdd9yx5I2cq666qvNv9vTTT5/3/jznOc/pLLZ68cUXL9kRvtz1b+nAAw/Etddei4MOOghJkuANb3gDLrzwwmVft7v19/fjqquuwtOe9jQAwL/9278tOg3/spe9DAA/mfOxj31sl57Xnvg3vjPM/dlY6neb67rIZrPIZrNLLiQrIiIiu4f+11hERET2Ce1wd3R0FF/60pcALNwH39Z+bu72wO4P4QF0FlacnJzE61//egCcCj3rrLMe877/4R/+AQBDprPPPrszaTvXFVdc0Zm+X8xZZ52F7u5uAMCHP/xh3HzzzVttE0URzj77bExPTwMA3vKWt2zVa37BBRd0QsrXve51C+5nrrvvvhvf+c535j32/e9/f8mFK621+PnPf975+1IVIItZvXp15+t77rlnu1+/Iw466CCceeaZADid/ld/9VeoVCqLbm+txfe///1OQP5YfPjDH+4s9jnX1NTUvEqk8847b7v26/s+3vzmNwMAxsbG8KY3vQlJkmy13XXXXYdPfOITAHizZqFqlfb35L777tspHfXL+ad/+qfO1+ecc86CP3ObN2+etzDq3NcAnARv1yXdeeedePe7373gsS677DJ84xvfAAAcccQReMELXrBN57h27Vpce+21OOyww2Ctxd/93d/hc5/73Da9dnfq7e3FlVde2Vkg9CMf+ciC/fBvectbOhU+n/zkJ5ed7p+YmNjh690T/8aX8+tf/xp//OMfl9zm8ssv73y91O+29u9aYwwuvfTSnXWKIiIisoPUCS8iIiL7hFNPPbUzgX3fffcBWLyKBgCOPfZY9PX1YWJiorP9/vvvv+jk/K500kkn4dhjj8Xtt9/emVZ/yUteslMWGzz77LPxta99Db/+9a9x+eWX45nPfCb++Z//GUceeSRmZmbwox/9CF/4whewdu1aVCqVRScre3p68MUvfhGvfvWrUa1W8exnPxtvectbcMYZZ6BYLOLOO+/EZz7zGdxyyy0AgBNOOAFvf/vbt9rPs5/9bHzwgx/Ee9/7XoyNjeHEE0/Eq171Kvz5n/95570fGRnBunXr8JOf/ATXX389Xv3qV+Ov/uqvOvv47Gc/i1e/+tU4/fTTcdppp+Hoo49Gf38/arUa7r//flxyySWdTzeceOKJeMpTnrLd79tJJ53U6ad+z3veA8dxcPDBB3duKvT19e2S3vLPfOYzuPXWW3Hbbbfhxz/+MY444gice+65OOmkkzrX+OCDD+LGG2/E97//fTzyyCO48sorH1Mv9KGHHorR0VGcdNJJeNvb3obTTjsNQRDglltuwcc//nE88MADAIAzzzxzyX9Ti3nXu96FH/zgB/jDH/6Ab33rW7j//vvxlre8BYcffjjK5TJ+/OMf43Of+xyazSaMMfjyl7/cqYKZ6+STT8ZVV12F0dFR/MM//APOPPPMed+DAw44AJ638/7fm1NPPRXnnnsuvvSlL+Guu+7C8ccfj/PPPx/PeMYzYK3Fb3/7W3z84x/v9MG/5S1vwYknnrjVfj75yU/iF7/4BR599FF8/OMfxx/+8Af87d/+LQ444ACMjY3hsssuw8UXXwxrLXzfx6WXXrpdk8urV6/GL3/5Szzvec/DXXfdhfPOOw9hGOKf//mfd9p7sTN0d3fjiiuuwIte9CL8+te/xic/+UmEYYj//M//7GzT09ODyy67DM9//vMRhiHOOeccfOMb38BrXvMaHHnkkchms5icnMSdd96Jq6++Gj/72c/Q39/fudm4PdasWYMDDjgADz74IC666CI86UlPwlOf+lQEQQCAa07MDep3h6uuugof+MAH8IxnPAMvfOELcfzxx2PFihUAgEcffRQ/+tGP8LWvfQ0Ab2wstTCriIiIPM5YERERkX3AnXfeaQHM+3P33Xcv+Zo///M/n7f9mWeeuexx9t9/fwvAnnLKKUtud80113T2e8kllyy738997nPzzuXnP//5sq/ZVuPj4/bpT3/6Vu9P+8+KFSvsrbfeuk3X9pWvfMUGQbDovtqvHx8fX/KcLrzwQlsoFJbcT/vP3//938977SmnnLJNrzvhhBPshg0bdvh9O+ussxbd9/vf//7Odg888MCCjy/k/e9/f2fbBx54YMFtpqen7ctf/vJtukbXde3111+/Q9c39/t9+eWX21KptOhx/uIv/sI2Go0dvqaRkRF74oknLnktuVzOfv3rX1/0fDdt2mSHh4cXff1ix17MtvwbDcPQvvGNb1z2+/CWt7zFxnG86LHuuecee8QRRyy5j97eXnvllVcuuo/lfk9t3rzZHnPMMZ3tPvrRj27P27HNx1nu98Ryz1cqFfuc5zxn3r/vJEnmbXP99dd39rPcn6OOOmqHrtNaay+55JIlf49tz3W1LfdzNfeY11xzzbzn5v5bWurP8PCwve6665Y8j7n72pb/DRIREZFdS3U0IiIisk848sgjOxODAPvIDz300CVfs+VU756ooml77Wtf25myPuigg3DaaafttH339fXhN7/5DT73uc/hGc94Brq6ulAoFHDEEUfgHe94B2677bbOwonLOeecc3D33Xfj7W9/O570pCehq6sLmUwGq1evxkte8hJcdtlluOaaa5adEj/33HPx0EMP4aMf/Sie+9znYsWKFchkMshms1i9ejWe85zn4D3veQ9uuOEGfP7zn5/32ssuuwzf/va3ce655+KEE07AmjVrEAQBstks9t9/f7z0pS/FN7/5Tdx4441YuXLlDr9vX/nKV/CFL3wBz372s9Hf379Tp6yX0tXVhcsuuww33XQT3vzmN+PYY49Fb28vXNdFqVTCEUccgZe//OX4whe+gEceeaRT8fFYPP/5z8ctt9yCN73pTTjooIOQzWbR29uL5zznOfjmN7+JH/7wh50J4R0xODiI6667Dt/61rfw4he/GKtWrUImk0F3dzeOP/54vPOd78Q999yDv/mbv1l0H8PDw7j55ptx3nnn4aijjkKhUNjli2t6nof/+q//wvXXX4+zzjoLBx10EHK5HPL5PA455BCcffbZuOmmm/CZz3xmyen1Qw45BH/4wx9w4YUX4vTTT8fw8DB830dfXx+e8Yxn4AMf+ADuu+++x/Tvvr0I6vHHHw+An0D44Ac/uMP721UKhQJ+8pOfdNZt+MIXvoA3vvGN8yqGnvWsZ+Gee+7BpZdeipe97GXYf//9kc/n4fs+BgYG8PSnPx1vfvOb8b//+7+47bbbdvhczjrrLPzsZz/Di1/8YqxevRqZTOaxXt5j8o53vAOXX3453vGOd+Dkk0/GQQcdhEKhAN/3MTQ0hOc+97n41Kc+hbvvvhsnnXTSHj1XERER2T7G2t1QqCgiIiIiS7r++us7ocpHPvIR/Mu//MsePiPZ1x1wwAF46KGHcMopp+CXv/zlnj4dEREREZF9libhRURERB4HLrzwQgBcyLK9OKuIiIiIiIjs/RTCi4iIiOxhDzzwAL797W8DAF7+8pfPq9URERERERGRvdvuKbYUERERkXkeeughNJtN3HvvvXjXu96FVqsFx3Hw7ne/e0+fmoiIiIiIiOxECuFFRERE9oBTTjkFDz300LzH3vWud+GYY47ZQ2ckIiIiIiIiu4JCeBEREZE9qFAo4NBDD8Wb3/xmnHPOOXv6dERERERERGQnM9Zau6dPQkRERERERERERERkX6SFWUVEREREREREREREdhGF8CIiIiIiIiIiIiIiu4hCeBERERERERERERGRXUQhvIiIiIiIiIiIiIjILqIQXkRERERERERERERkF1EILyIiIiIiIiIiIiKyi3h7+gQE2LBhw54+BdlLDQwMAADGxsb28JmIiDw2+n0mIvsC/S4TkX2Ffp+JyL5gZ/8uW7Vq1Q6/VpPwIiIiIiIiIiIiIiK7iEJ4EREREREREREREZFdRCG8iIiIiIiIiIiIiMguohBeRERERERERERERGQXUQgvIiIiIiIiIiIiIrKLKIQXEREREREREREREdlFFMKLiIiIiIiIiIiIiOwiCuFFRERERERERERERHYRhfAiIiIiIiIiIiIiIruIQngRERERERERERERkV1EIbyIiIiIiIiIiIiIyC7i7ekTENndbBTCNupAvQYkEeB4QC4Pk83BeP6ePj0RERERERERERHZhyiElycMay1stQw7NQm0GkAcAdYCxgDladhMFqanF6ZQgjFmT5+uiIiIiIiIiIiI7AMUwssTRlKZATZvYPjuOIDnwzgObJIAUQhUZ2AbNdjhVXBL3YvuR5P0IiIiIiIiIiIisq0Uwstea7kwPGnUYKcngckJoFUHxsaAXBboH4TJBJ39GMcBMgGstUCzAYxsgs3ltwrU25P0qJQBA8DPwPg+Q/xqGbZShi2WNEkvIiIiIiIiIiIiHQrhZa+zXBiezEwDjRpQrQCOAXJ5IGoBcQjUYqBWg+3tB/oG5oXlxhjYIAtUZpBUynB7+uYft1oGytNANjf/dY4DBFmG+OVpWACm2LWb3g0RERERERERERF5PHP29AmIbK9OGB4EMEGWITgYhpsgC1SngfX3A64LU+yCcT1gZhrIBEChxFB+YhSYGNtq38YYIJMBpiZmjxeFiKfGYdffDzszBTsxiqRagY2irV+bzQGVMmwU7to3QURERERERERERPYKmoSXvYqNQk7AbzGN3pY0GsD4KNDbD1QrnI4PW8DoBgbk1gK+D+SLwOQ4bKkEk8nO34mXAerl+RP3tSpD/WyO+6xVuMhrocRwv9UEGnXW4kQxrAGc/iF1xIuIiIiIiIiIiDzBKYSXvYpt1AGDxTvXy1MADAPx8c1pT3wOaDYBxwWSBGi4nHZv1IFH1sN29wDGYUgfBIAxAJzOxL31fKBaBsIWH3NcIMgxzB/dzEqcIOC+m01W30yNI6lUgP5BON29C57vY1ngtd1339z4EGzUQlxtAL19MN29cLL5x/gui4iIiIiIiIiIyM6iEF52u+0Nn20UIqnMsCLmwXuBZhM2ajEIL3UBXb0MwW0CPHgP0GhwgdVcLg3Ic0A2C9QqQAKgWQdqM4AFp95X7w8Uu4BWg2F8HANRCPvwAzxm1AQiCwyvBPoGAc8H6lVgIj1/4wDNLOB5PJ4FUK1y+n7DQ0hW7w+z34Fw/Ayvx1ok05Oc2G/VAcfhPjNZTtRvscDr3PfLRiEwNQ6Uy0A2ANashZMvAOEYMLYZdmQT4qEVMIMr4ThqmxIREREREREREdnTFMLLbrPcgqp2TviMOEJSrwFjI8DoRobqYcjp9myeC67Wq0ClAmx6lCH84AqgXufjfgA0W0ASc0LdC4DqGAP6yhQQZBnAw3IivtlgVU2QAcbGGawHHuB6QK7ICfuRR4GxUWBoGOgfBuIIaNaAMAL6hxjI12rcj+cBrs9z+H+/hx0fRbz2QKB3AJgcA0Y28hyyeRjH4XvQ4GttvgjMTMFaywn6Oe8XpsaB8TFO7YcRkkYDTr7A3vtiF/ezeQMsAAyv3oPfbREREREREREREQEUwstu1FlQdYs+d+M4QJBlSD8zDVstw1hwcn16EnBdTrlPTwAwrIPJZtnTPjPBoN0PgPUPcvo8MUDWZxCeKwAxWB1jE6A6xYVZLVg7Y1yG4bUqw/rNG4EoBLp72SUfW07ORy2gFQF5AA8/wCDdcVlTk1gu/NrTBxRLvBEAC9TK3KdxgM2PAvUKp/JtAgyvgnFc2DiGrdWAepmvC1s8t1I3YNfDei776z2P57t5E9DVzel5a2ErZSRz3mPjOLClbmBkE5JtrKZ5LLU4IiIiIiIiIiIisjSF8LJbLLegKsCed5vEwPhm2IEVnE5PYtbDjGziVLpNgLFNXAy1VmEAnsTA9BSD8JlJIJ8HkEnD8Rlg8lZgxRr2tfsBEEUM1sOQ0+VRkwG743CfhSIDad9L/4UkgHWBqMHjGANsfBjoG2AQ36gDo5s4LZ/NMmjvHwQqVSBu8XitEIABJu7npPzmjbBBhvU4mYDH9v206qYGPHA3tx9eCWQLDPJHNwHVadbQBFnAGJgg4AKxrs9peKRBvGNgpyf5qYHFvifb8cmERTv4RUREREREREREZEkqjZbdYtkFVQHYKOJEepAFKtPsR282gJENDLJdlzUsMKygqZT5WK0KTI5zsdWublbVRBGn17NZhtiPrOfUvOtxn+3eeNcDwgRAzP73ep0n06yzSsZ1WCuTyTCwr0wzJI8jYHSEk+sZj4G9cTipProZ2LSR9TJJwmMYC4xt5AR9q84++GqVrx/ZyP1GMW8MxDGPBQu0WpyobzYZ9hdKvN5mAwDfT2MMn58rlwcmJ5b+nrQ/mRAEMEGWn0gAQ3wTZFnxU+YnE0RERERERERERGTHaBJedo96LQ2WF2ebDU5kexlgfIQhfKvFgDmf57R4EnMaPo4APw9UK+xJzxX4eCYAWunzbsAwPZubnYr306nzIMPHsznu0/GBsMHJ8VaD+x1Yyan1KOK0fHmGwfzUJGCjNDRvADAM+oMca2Qq08BEzOn7IGDg3w7cS13cZ6UMhE2G5ZmA708YcRK+UARQZS1Mowa4Q+y5D5tA0M3X16qz76fnA+UKkC/MvpnGAeLWolUz8Lxt+2RCNseFYlVNIyIiIiIiIiIiskMUwsvukUQw/jIhbqPOShYYht2NGvvQk4S1LwCDasdlcB3HabhsGcAbANYB4AClEtBocbLc8xlAGwCTo0Cpl0F/HCMth2fFDEwarLf42maDYX6rzgVgyzNAo8ptXAeIE77cWu4riRigW/CcqmVeT7Wc1tKE3Gezzmn/coVhOSyvt9kECnkG95aXAcflNbgujxdHnKxPYmB6ErFNYOMImJ5mYB4ErKVJEqDZgh0bWaRqptKps1mKMQbW8JMMpqgQXkREREREREREZHsphJfdw/Fgk6RTebKgJILxsgyKbQSAi4/CddNpdReIQ4bdQZaLps5MMhBvpUE1Yk6uN1qAjTnVHof8YxxOrns+q2oyASfhG3UG49YyvI4ShvpTY6yigU23aaTd7pjdNkkYuIchEKcLyRZKQHc3p9cdh5UvvgeG/eB5RxEn5p0EcPt4vFaDx7Hg5L/rAT39fLyre3aq3nNnbz709sK4Ge6/XgNqVdhCAZgpp/30wcKL4JangVYIW6vCFIpLf+/8DPdd7HpMPwIiIiIiIiIiIiJPRArhZffI5TkRHmQX38bxYG3CifFMFoDDye9CkVUyuRxDbxiG40mL0+Gux+C6PXXuemn1isvjtUIgKAKNdPI8iRmO5/L8u5/hFHomw9qYWguIANQrQHcvA/paLQ3qE56rddg9HzZ4LnHE0B+Gi7v6Ps+tXgOKJU7emxCILPvhk3SavloDggKP7aVBfbXCGp58nvtJ0v1m88DEGNAEt48iLsLaavG5TIY3B6amgJkp4NinAnGMpJmG++06mmyOnyjIsc4nAXjO01O8WeH6vJEQBOmUfwjECZJcHka1NCIiIiIiIiIiIttFIbzsFiabg62UYa1dfHHWbI4hOsAAGob1L7kCQ2WbMDyHZQBuEwbfiQGQcLrd94Eg7Y+PwjTAtkA+B0xuTvvUy6y5QboP43DKPQwZpofpIrDWsIImCvmnHcADPF7iAEkIwAHchNsjndyv1fjfdo1MxuW/tqjF6pt6nR3vjs9rTF+KuMXd24THmBxPb1xMshYnSmtr3C7AcWGt5TVl0loZm9bgZLNAq8mJdwPA9/kpA5swcJ+ZYoVOZRp4dD3fn7TOBrUKsP5ens/gMNA7AJgorbEpwxZLMIXSkovsioiIiIiIiIiICCmEl93CeD5ssQSU2V2+YICbCYCJUYa+rpv2obc4iV3qAcqTgPE4zR02OPEeBKx9MS6Q8YGglE6hh3zMSyfJq1WGynCBQheQ8VjzEjrcNkonwLM5TqEnCf9u43TiPdzyivh4AgbfNpnTEW8A0wC8PobhMDyG4/Cc2gvLOj6n4S0YfLePm82x+sXzgIfuA4ZXMkjP5jhRX54GNo8AXUUk9RqcUhc75atlnk9XN9+biVGgt39+HY1xgEwAW+oC1t/P6+7u4eQ7wB7+ZgPo6uV1TY6zOmfNATBBlqF/eZpN+qqnERERERERERERWdYSBd0iO5cplIBSN9BswjYbsEkCay3/22zAxDEwtJJhdZBjgN7XzzDc84BsAYiaQK3K/9oY6O6bDa/9HJAN2Jnu+vzp9nNAvsTHCl1ATzcDbThg9UsZGE0n5B2X9TOZdNFWB9yv8ZAm+O0r4fkYhzcEgHTqPZ3SRwKEMfeTKzKAn5wCGk2g1eRr/UzaYW94PeVpBv1hg/3uYcjO90yG51UpczvP502KgQHAGsRTE4hHNwFjY6ykOeAgoNjN817qUwcOuD+YdIFa8MZArQb4Aaf1HYefQpgY71y/MYY3Aypl2GjLGxMiIiIiIiIiIiKyJU3Cy25jjIEpdsFmc7CNerq4aNpTXijBZPMwrgtbLcNOTTKwLhSBFas4yT41xkA6kwHGRjjxXuzifqKQk/TtrNx1gFJXGsa7wKaHgYMOB2ozDO2Nw+oXx+XkeDbPHvqomfa3OzxOswm4WwTZxuHUOyzD6iTmf70MENY5hR5F7KI3YLVOHPFa4zgN+A2v28+kFTxpx7zxgaky4JUZdmcCfhpg1X7A5AT3XSkDMECxBLe7G97KNag307qcchmoTPF5LFEXU6uzYz9s8VyB9H0x/AOkffARq2pq1c60vDEG1gC2UYcp+rBRuPX3U/3xIiIiIiIiIiIiABTCyx5gPB+mmAboCz2fBvWJ76Vhu8cwvn8QJsgBrgP70L1cwLQ8DaxYyyB8fBN34GXSPy4XJHUcdpsPDgGTBhjZCAzvzzB9fJTP2wSAw+Dbrud/u7sZRLcaDJbbYbtNp93bnfIwDLCddJFX1+M0eXcPUOxl93u5wsl212Pdi+8D2eLsjYAkXQw2k+HzTjopH0ec1Hc9oDwFbHgEyGWB/mEABrZaRfjA3UAMTvF39TAwd9xF318AfN9K3dy21eKfei1d1Daty7EWyBc4uT89BQyumH29n4GtVbmoa6Wc9s5nYHwfNknUHy8iIiIiIiIiIpJSCC+PS8bz4Qytgi2U5oW8nRA8yDHo7h8EopjVNLk8UC8D9Qa3C0MGx4NDzMzbPez5Lnafw51dzDWx6T6yrHsJWwzd88XZGphW2v3ueUDcDuBT7anxbJavW70/F3jd9AgXVK1U0gqbOTUvUQxUZrgwaxRxAVYHPJ98jscOI3be33sna3VswpB+/QNAYlHv7YEzvJI3GSbHGKQbhyF7kIOdGJtdfNZPp9LDkNvmCvx7dy/fu+kJvs9OejPCdTm1PzUJlCcZuDtO+scFahXYUjfQ3cupd4ftVsZxgO3oj9ckvYiIiIiIiIiI7MsUwsvj1pL1NX0DQBzDyReQuB4wMcZp+bkmxxjUhy3+tzzFcLunlz3trRCYSoAo4QKvQRYYWsFgfvNmBs2lHMNpx5mtkoljPhdbAIaT+hb8E7b49zhmKF/oAoJ0Or5WAWameG6V8uyCrm4G6B9iQN+KAK/JxV0bdQb1pRLQyLCOpjrD/bc75StTSCoVYNNGYGCYffD1ClCvM6zv6Wc1T3va3cuwF98POKGfyQHNOsP37r7ZGwXNOlCeYT1PvcHrjELekLAxt2s00mn6CmytClsowuQLnal3Ywxsuz9+gUDdWgtbLWuSXkRERERERERE9mn7bAg/Pj6O73znO1i3bh3K5TJ6e3vxtKc9DS9/+ctRLBaX38Ecd911F37yk5/g7rvvRqVSQbFYxNq1a/HCF74QT3nKU3bRFUjbQvU1Ngphx0Y4bV3qYa1MkjAsb2sH57DsP69MMdxeuZoBeK3Gie96nQu6xglD9O5eBuqjmxieB1kG0kncPqN0Cj6tookiwLHpRH0ENFqcNu/pZZhtwe0dh6H49AQD8lyBwbZjeIMhbDG4b7aAeJTh/Ko1DPvLk8DMBEN0P8vTiNNFY03MgH39/UBPT9r1HgFTE5z4d9PQ3g/SGwwbedw44ntjs8CjD/NrGF5XK2TYXk2n9LNZYGaSvfCOyxscQRrgO276/s5wD3NuhmzZHz+XrZY5sZ/NzQvZt3eSXkRERERERERE5PFsnwzhN23ahPe9732Ynp7GCSecgNWrV+Pee+/FT3/6U9x222344Ac/iFKptE37+t73vofvfOc7KJVKeOpTn4qenh6Uy2U8+OCDuPPOOxXC7yHG82GLJaA8DZPNwfYPMjQvds0G8X4AVKaBUm86Zd4CVq5BZxHUUhcD5PL9QDlkkNzdx2Dee5iT3s16uvhqWkNj/HTKPUzPxALGTRdm9RlY50oMsEc2MKfv7wPidBsHXCw2itg130oXRm2k0+jG4bGaTcA2uQ/X5TauAxgL+O0pfDu72Kuf5eKyj6wHhlewGz5X4I2Asc3cJmrxUwRxAmTSBWvDBDCt9AZACHgBEDaAepMT9UGWNwVswtc16gzi4/SGhOOm26WfJKhWYIMsjDfnV4uf4U2GLW6ioFLeKoCf9z1eZpJeRERERERERERkb7BPhvAXXXQRpqen8frXvx5nnHFG5/GvfvWr+MlPfoJvfetbOPfcc5fdz29/+1t85zvfwbHHHou3v/3tyOVy856Pominn7tsO1MowQIMc4tdnG4fH2WY7Xn8uxdw6juK2JvevwJAGnI36kA+D6xYw+n0tQcySAaAvn5gepJT8dUqkAkAE4A7t2moHTEU9zIM/qOI1TOFtO/dOJyQj8GqnGaDgbbvAk6ex4kjBukAw3c/w3Nv97c3G2nnPRjC5wOG/W4ChHFaf+PzZoPrsi5m00ZOyNcbvLFQLHHf1rKSJyjy2tvHLK5IA/kWJ9zDJuAGPLfpSQb6+QIXuq03gYkHOV3vABi3QLYAZKowpS5OvTcbMN6cT5sYM3uNKZvedFiuZqY9SZ9UZhjCP4beeHXPi4iIiIiIiIjInrDPhfCbN2/GunXrMDg4iOc///nznnvlK1+JX/ziF/j1r3+N173udchms4vuJ0kSfOMb30AQBPjHf/zHrQJ4APC8fe7t26vM7YxHow54PmyQA6plTrFnHIbnvgcMrGSoXKvAZAIg7wH5AitP8kVgYIABdnuB1GyePe0bHmQoPrxqtlamvZBqnDBQh8OguToFeLk0/HcZbANAswZ0dfNGweaHuX2ScBHZxKST9DZdeNZhzo90AdokAVpNBt7WQ/ok/5ukr2k0GNY74IR7lE7qRy3ggXs42R9H3M5xgHiEnxLIZoHBlQzm/SxD/Eba/z65ideUyXCSvlIB3PTYvg+Mj/BTAr7HXvipMdj9D+HNhkZ9fj+/tQy856rXeO7LsNbCtlq8udI/uEO98eqeFxERERERERGRPWmfS5HvuOMOAMBxxx0HZ24/OIBcLocjjjgC69atwz333INjjz120f3cfffdGBkZwTOf+UwUCgXceuutWL9+PTKZDA455BAcdthhu/Q6ZNst1BnfNjeAtQAQJwxfAU7IWwuUumHyq2CbTQbSUxMMkodXcpv+IWDjo+x5bzUZrgceg3jfY8DsOJ0heeTSKXevHcK3OGmfgBP0bvp4lH4dNdKKmhBAWlkDy3PjuDgDd0QMvj0HsA4n15M47cJPg3zj8kZBqwkUexg8z0wBcHis9s2keoNBeCbDSf5cwm788jSDfNcFMlkG7612V33EczSG19ZsMuAHeIz19/FmRWmL70PYYoXNXEkE4y8/fW5rVd5UcV2YYPam2fb0xqt7XkRERERERERE9qR9LoTfsGEDAGDlypULPr9ixQqsW7cOGzduXDKEv/feewEA3d3deOc734n169fPe/7II4/E2972NnR1LR/avfOd71zw8Y997GMAgIGBgWX3IY/B4CBsGCKpVxGPboKdmgDyRZhCAU42P6+/3NqVQL0G090LJ5tH7Zc/henuQzjwEGtWWi2EG9YjHt0E5LJw/GxaZ+Iimp4EZsqso2nW4RZKsK0mkigC6jW4/YOI4z4G2Y0Gp/QBBtw2Afw8K2eiFitnwpAhOZK0l92ka6e6nM5vL+QKpF3vMV/vu4Dnw4FFErd4vHqdgXo9w5A9ToAgAxOGcG0Cp1iEWbMWsevARi2g3oTp7YFp1BFXq0jKUzxfz4WT9ZEkBqhXYCoOPBvDWgsnagFjm5Ht7Uemrw82jBDXq0imq4Bj4ZQngUwAN19EEgR8/wO+BzaMkDRqQL0Gm0QwDheTtcYCwytg4hhuX9+C315rLdCow+3u3irYt2GIuFkFVq1ecsp9qX2IyO7R/nSZ/jdRRPZm+l0mIvsK/T4TkX3B4+l32T4XwtdqNQBAPp9f8Pn249Vqdcn9zMzMAACuvPJKDA0N4X3vex8OPfRQjI6O4mtf+xrWrVuH//iP/8AFF1yw805edhnj+3D9HjilbiSVGdiZqXShVMMA1iac+LaWAXyxC8YYOKUeJK0GnL4B2JENQF8/MhkfLdeD6zqcro8ixG76TylqAq0mTJAHkhhJ1GJVTCaAcQyrbqJ0UddMwOC81AOUK3wtMpykTxJWwACcSA9D1re4Ll9XLXP7OGHwbm06MR8DQQFoNpC00o73BDxmkGOVTBgC1QqQdMOWpxD3DQATI7BhCwZA3IyARhXuaAgUirC+x/1GIRBHSOrVNPxnH7xJz8u2msDEGBrZLEzvANCoIpmZhPUz8CyAIICJIsRT40jiGGZmCrZ/iNdYmenU3xjjAzZBPDkGWyvDtLrgDA4t/r01BtYYJPUqXL9n3nNJvQoYs43d8wvvQ0RERERERERE5LHY50L45VhrASy/IGSSVpZYa/HWt74VBxxwAABgv/32w/nnn49//Md/xJ133om777572Wqa9sT7YsbGxrbx7GVnsW6Gi3ROz2yxSGcephkCzXEAQFzsBh59kFPoxgVGNnEHYQtx4gKtBtCKOWXu+gy6vQys4yBuNjjxHkWA6yFqNnmcdh2NY4AwrZ3JZRnW25Ahexjx+STh6y1YSRO2GKBHEdBosQbHDwBEab+8BeCy6qY6zpDfxmBXTpLuI+JisTPTQLMCOzWBKMgDmzbxmPUqEANxLl2ctV1H4/q83mYjraTJwCYJWpUykCuymgcGuO9utFoRMDgEwAEyeZh6Y/a9txaoVbjf8XG+preP/ybnbjc1xdPe9ChgXDhhvPj3M0mA6Rk4rfkLwCajm1hlU6sv/zOxyD5EZPdoTybofxNFZG+m32Uisq/Q7zMR2Rfs7N9lq1at2uHX7nMhfHvSvT0Rv6V6vT5vu8UUCgUAwPDwcCeAb8tkMjjuuONw9dVX495771U//F5oqR75edv19MGObmaXer7AgHxyjB3srSYD8FI+DdRDoLcfmJwAu93dtDc+PU6Q48R93XAhVM8BUONjpQLgegy3XReI03Ddpn3vrgO0Qu4rTutskADZAutv6k0gqXNaPm4AkU3/JAzPTczzC6cYpBvDCfvYAs0QKG9mQF8oclo/4/HY42O8SeFneC1hmPbXtxj4WwDd/dxfvQoEARe4rZSBoRVAd+9WN7yMMbD5ItAYYxifzfFmQ/vmRFu7aqe7F2jWYaPivOqgLXbK8wRgo5A3WOo12JFHgWwBNpuDCbKLv36LfYiIiIiIiIiIiOws+1wI374jsXHjxgWf37SJk8yLdcZvuZ92GL+l9uOtVmuHzlP2Dk42j3hoBbB5AxdwLRwAu3IN0DsE3HEzJ8Bdl6H08Cqg2A249wETYwzpo4QT4kkM1CsMm/sGWREzNca/hw0uxhpb/ovMZrkfm3Dx1GYDSDzAzTCAjy2D8rDJbvjKNPdXKDGUb9WBpMWp+Sjka4yZnYh3XIblccJ9O+kCq2GYTqjXuR+kC9iG7WOadCLe402HKK3xadZ5fZ6bVvoYoFEFxkYA14ONwvRcIh7fY2c9j+3xfRrdBOtnuD/j8BitJtDTC+QKQNhiJ79XXPD7ZMMQqNUQP3gv3w/X440PL+A0fa0CW63AFoow+cLCn4SxlucjIiIiIiIiIiKyE+1zidPRRx8NAFi3bh2SJIHjOJ3n6vU6/vjHPyKTyeDQQw9dcj9HHnkkXNfFxo0bEUVRp8i/7eGHHwYADA4O7uQrkMcbM7iS3e8jm2Adw872nl5g9f7A6GbACYDBFex2NwYYWsWQvBUCD/wfK2HihFPmPf0Mh0c28mvHA0Ye5RS6Z/j3dnAcBOnEeZYT50NdQCYHbF7PShmbMPzu7p8Nxl0XqLenudMqG4A3AmILmIQVNnHCGwBxzIDcTbviYRnaO+n+EtY3oVFjAJ8r8oYB0hsLFjymSbctp93urTpQnubr8sX0mPHsjQEvAzQqrM3JFXnMbC49X8spfZveJCj2cHq/dh+SbBYwHt+bQpGfTKhVgKkJnm+Q53tfrwLTk3x9kGM1jusBlRmubVtYIMwPW7yRISIiIiIiIiIishPtcyH8ihUrcNxxx2HdunW44oorcMYZZ3Se++53v4tms4nTTjsN2WwWABBFETZv3gzXdbFixYrOtl1dXXjWs56F6667Dv/zP/+Dv/7rv+4894c//AHr1q1DPp/H8ccfv9uuTfYMx3GA4dVIunthpydZNzM1AQwMc6q9WmEY3WpwwrtY4rR3swH0n8Rw2vcZhNeqQK3MCfaBIWC/A7j96EaG2pksgBhothiKGzDcz2S4fdgCzH4M+KMWp9B7ehlqWwvMzDDY9jMAPMA2GE63F3CF5dcIATg8N5sA1WlebCaXhuhNnrPF7IKv9ToDbuvwuL7PafxymaF4u78+n2NffeAyuH/0IaCrh+dknHRB2oiL0TaqrNbJ5riN6/F9G90ENOqstclmuX/jpkF9iE6/vePy+rt7+Z41JvieFbpnQ/qRDXzNwCAD+WoFdotqGi7OC5hsbrf9XImIiIiIiIiIyBPDPhfCA8A555yD973vfbjkkktw++23Y82aNbjnnnvw//7f/8PKlSvxqle9qrPtxMQE/vmf/xmDg4P4/Oc/P28/Z555Ju699158//vfx1133YWDDz4YY2NjuOmmm+A4Dt74xjcuWlcj+x4nmweyeQbymx+BCRjYJo0GUJ7i5HUUpQH7AZyqbtSBe/4fAAt09wH9w0Ctxr830w73XIHh+8gGwEYMu70Mg/d8F6fXB4fTMDwBevoYVLs+nOo0kkadk+vGAKUu1ts0w7R+Bgy+HaTT8i4D9TgGoiYD+DbXS4P69DjA7N9bEUPusgEyeZ5bxuf1lqeAsmXAHWT4ulyO0/qtkCH6+AhvWuTTCfRmHZiZYp99qwVsehiY4mK4SNrnDU7Lb3qEk/T5HLDmoHTSPb3hUauyfqbeAEql2Un2Vp2vyeWA/kFgegqYnga6eZ1zq22stfw+lbphPH9n/siIiIiIiIiIiIjsmyH8ihUr8O///u/47ne/i9tuuw2///3v0dvbizPOOAOveMUrUCwu3Cu9pe7ubnzkIx/B9773Pdx00024++67kcvl8JSnPAUveclLtCDrE5njwSYJjOPAyWaB7ApW0mwpX0By4GHslO/uZdjruaxwadY5ve5n+NpVqxmSP/IA62EAoNSd1r5YYGIUyHen1TXp64McnEYTSXmKoXe+yDB+egJAwhsCmSCdoDdpN7zln3bYDbBvPuOlC7vGDOcz2bT7PeJNgVYaqgfJbK+773HffoYT7Z7HBWURceK+MsOqmWqNIXu+wONWqvx7HPMGgR+wQqbUwx58m3D/jQZD96jFoP2hezkVnytxuj3js7/+4fuAw49JO/Zb/FTC9CTQ3QMEhbRDv8XH+ga4aGsuz8cs0r5/VdGIiIiIiIiIiMjOZ6y1dk+fxBPdhg0b9vQpyHZKKjNAtQwTZJfftl5jsFytADOTDKLdtJpmaoJBdu8Ap+zrVfbMx2mXe60KuAYYGWGgnEmPNz0BVMqsT4kj2GYdmJpkoAzwOJ7HtVUdC1QqDPhdh4F2AobjbUGWwb/nMchOLKtf/HQSvlZlYA4D5POAnwWyAc+nkV5b2Jqt1CkWGOzbON1X2mtvHHa4T09wf57HCXprGfa7XtoTH3DyPokYxjsGgMtjOIZ9+r7HAD4bAOOjnLQfXsV9uh7fQz/gRHyzzpsUjuHXcNgT3zcMDK+E092rKXiRPWxgYAAAMDY2tofPRERkx+l3mYjsK/T7TET2BTv7d9mqVat2+LX75CS8yK5msjnYShnWWhhjFt2Ozzswaw+CjULY+/7IuplWlWHxyjVp9YzPjvUgC8CwE71W5bR370ogjFmtklgG0R67022rzoVcvQwnvI3LepjBFZwGNy5Dbz/Dnnc4XNjUS3vebcJtPI/HTSKG4PkiK2ds2vMeJwy9HZ+98emaCpiZAKpVwBpO0sfg9jMzPHfjAb19nKBv1nj8KOY2fiatxkn76uOINytyed4oCNM/pslp/iDgBL6fLljr+zxGLWS4PjEC9KQ3MwDedKiVeXOh1eBNinwJCNLe/iAPhHVgw3okU5PA0Ao4xa4lv5+PlY1C2Ead15lErBHK5WGyOd0EEBERERERERHZRymEF9kBxvNhiyWgPA2bzS0Y3G7ZNW48H8nQKsB1YRxndrsogm02uG0SAcWudHHUFoNwx2HXepxwAddyhb3vhTxMlMD4HpJMADSbDPOnYwbU2TzrV2zM+pv2hDjSxVj9gN3p6aKkcA0DaxvyeK3WbIe873MiPQiA7i6G7eOjQKsGGB9wLQDDSff2OH6zkQbsYNAfx2kHfC3tp3fSxVybQAQex6Q3AmKf1xinVTxxyE8JGPBcHI8T+F19DODDNNCul9kN77g8/3oVKHTxRkTcAuoVIHTZHW8TTtvnPWByDHj0ISSFIj+pkMsDPX0M5XdCOG6tha2WudCsAeBnYHwfNkmAapk3dIolmEJpl94EEBERERERERGR3U8hvMgOMoUS4+ZKGTYNVjud64t1jefyQLWcTryn+/E8LhJamF2rIBk1wMZHgK5uhs3ZPHvlE8uJ+FIBaIZwkwhIIiRxwnC63mCY7aR97r0DnAKvlgFYTsNn82n3e5Keb5KG9D6AhOeYLwKosJM9Tjvhg4DhdamX55SkdTY24iR8q5GG6DZduDXLILxS4d8TA3g1IEo77Y3hMVtNnqvjsiYnSngjIAo5Ne+66XESIE777F3L48SW+4EFskWG9mEI+OBNDeNxQdapKd6gaDS50G2zCSST6eKxdS6O67j8vvgZ3kB45CEk+QIwuBJO8bGF47ZaBsrTwBY3bIzjAEGWN2zK02zsKXbt8HFEREREREREROTxRyG8yA4yxsAUu2Czua0rRgolmGwexpv/T2xba2wAw0VZjWEIbsBFTl2H1S7GB3J5OEkIG7b4WKkAJBN8rbWAlwWyLr/u8VnpMj3JkNpx+K8/agFhM71xkHaoBznWxbTDdOszfHcc/tf3gKlGOqXvcWLdcdNpejcN0NP+dTd9Po5YY5NYIJverIiidMo9YfgeuLyREEc8R5uG63HC/RjDRVwNON0fxYDJcYK/0QRMA5ic4PaFQtp577Ifv9Wc7YbP5dMbExVOytuE4Xu+wOA/DGHyedggyyB/5FFYs3qHw3EbhZyAX+QTE+2fJZvN8YaOqmlERERERERERPYpCuFFHiPj+TBFnzUy27DtNtXYNGvA0EqYIAvreZyKdx32yeeKaZDtwsRp0F2fYBAfNTlR32wCmZhhfW8fMD7CsN3zGUa3mpxSj2NOxpd6GH63QgbzLTvbv57E7Kf3A2Ao4HT8xCgnxm2dIXjY4t+jOL1JYAE4DMsBdtoXMwy/2/v00sobpAvBxjGD92YzDdrnrBlt0j9J+rjjzi7mmjhpdzy4wfgoF7x1LFCt8RjZDK8f6ST96CYG7HGS9uU/AKw+kO+xtbDNUlqP4wKNOqxxEEcRTNja7i5326izqWeZSXpjDKxJt89C3fEiIiIiIiIiIvsIhfAiu9k21dgUezg57bpA7wDs5DgwtBqYGk8D64ThtzEMjv2AgXcmx4n3yQkG4oUA6O5mED0zyaDb84GMw0VKHTetgQkBmwGChH+vVxnCwzCIbjZZjWM9wEnAk0z4J0x43lHCSXXfS2tjEl5wFLIrPkm4vzjhjQDHpME5GNpb8EaAA55nJ7RO0kA+nYw3aZ++m/a+G8OvkwSop0F7eZId+LV6ug8LOCEXsbUt3oSopBU9XgbI54DuKZ53vcYp/1yex50YB0Y2A8PTsL0DDPOjEEgSWNfnTQ8/A2PjhcPyeo3f421gPR8Y28wbI+qOFxERERERERHZJyiEF9nNtqXGBo0ae9xdF8bzWI3SajIwznicLI+aAEy6+GuJE+y9Q6x/yeZZx9JoADNTDNaLXQzobQzMlLmffHfa7e7w9c0mj2stt20vjDq8EujqAXyXQbfrzvbKVxsM0H1wYVfHA5yI+zM+w/gorY/xPYbsrsN9hOB+HIfbtULuM8jwa4DnHkbcBgbwzGwQH4e88eClvfGVKaBYAIrdnGQPWS/DCfwMr6dh2Qvvujy/JGZnvLMeWLU/w/dGbfYYNgEQA5se5fG7uoHAA6pVYHoE2PgwsHINMLiC79UWYTmSCMbfxun1eo3d8d296o4XEREREREREdlHKIQX2UOWrLHZsju+3ck+PcWgPJsHggAmCDg5nQkYKueyDOGDHNC9kkF2ZRrwm0A1SRdldQE4DKZzAXvVswWgVePCrp2p+nRCP0gD/UzAWhrX4zR+eYbnFDU5de7nGU5bAI2IoTvSRVs9D4AFCl2cms/leR1ehsF9EHCSPU4A2+AxvHTq3XF4/ChK3zjMTtDbdBo/sVxcNRMAw2t5A2Djozxms87FYDMtTt/niunUvWVlDQwXl61VeaMD4HtQLafHAG90dPfyPKzlzY1mjd+XfBEYH4UNcnC6e7YKy21iYcsz3Hf7Zks2BxNk560ZYKOI0/m5vLrjRURERERERET2IQrhRR6HtuyOZzVKAqxZCzy8nrUt1sJxHNjhVUCzxVA9Sfgnn2c4XHQZyLcaQP8wd14oAt0VTlwXCwDSXvk4AnIA9juQYfXMNPcVhQzqu3qBWg2YmeB0elTldLmfYcWNAUP0kFUtcAwQg5PvmXwadFd4XkEuXZQ1DfvhcsK91+M0exQzmI8i7sCkNTaeC7gZhvO2xQAfYADvpWE+wOtp1tMKHPB1SQw4aS994rBWx4l508ICaE1yAr6Zvo9hi9fSbPA9qJRnq4BggWyO52UMw/+pcdhCEcbzYIxBEmSBkY28hpBd/cbLwtoEqFVgqxVuny8wXG82GPLn8kiqFZ5LHPPmSjbfCe3ndsebokJ4EREREREREZHHO4XwIo9Tc7vjATD87eoBVkTA2CbAz8BZsZLT7aObOcndrHCq3TWc5q5XgYwP9PUCmSynzxs1Tq9nAwba3d0Ml5OEwfLwKgbWrRYD8ihiqO04DN9zeW67cQNQnebxbDIbXNu0V97xgbgBGA8IfCBTYt1Ks87nDYDefl7b1Di3K5W4LdJjTU4A1RnuM8gAuRL741shEDlpKO/Ndsg7DvfVqPFabTJbdYP0+fZkfbXBfZp0St+AHfKT4/y7dYDKDKtz8jlOvXs+F7nN+OmnBLJpCO8D9QZsswHjFXlN9bRSqKuHNzhqddhWI70Z4PK105OslikUZyfxaxV+csDzeTMmaYf2ZdhCCSZf4I2Pem2bFgMWEREREREREZE9SyG8yOPU3O54NOqwYSvtC+9hIFyrwjGGwbeXAVas5uR1LsdJc4AherGL09QAn/N97ifNpWENw/c4ZuBs0sn4TIZhdjEN6esVBvutJtDVDzSaDNRNBLQi9rYnyZy6mLR+Jpvl/i1Yc9M7lB7HZT1LK+SUfqnIxWJrNS4ia8He+rqb1tkYhueJ5X4AXnuQZTjebPIcWjUG1K0mn3ccnotxOdXuZ9J9gNP4Nl1QNltgmJ7NcyFW12PIny0CbsD3zXF5U6LUzdAc4LXBcPK/UQMKRVbLVCv8PmzewDqbepU3Qrz0pkES83XlKSRrDwKmx7lw7BZ1NMZxgEzAiptqmaF9vsD3TkREREREREREHvcUwos8zrW7422hBFstczLeALZ/EE4+xzA4DBkyH3Y0A/likUH0Iw+mz6W1KUmSTlCXgP4VDI7rtfRA6UKkSZJOv/tATx8QJaxTyWQ5pW0TwAWPsd8B7EcfH+EEuUHaTV9k+O/7DJazGYb2fj8wtIL7dA2n6oMsz72rxP+uvw8Y3cSA382kVTxpdU0SAkjS8Dw9ViOtk3EMp/ejFgNqgzSo9ri9A567bc4G8y1wQdlMbrZeBpbbNxtA5AE9vbxWGKBeB+plLjBrDIP//kH+vT2RD8wuuFue5jT9itV8fyfHGL5nMnyPPJ+d/rU6bwD0Di7dB59hV731MzCOfn2LiIiIiIiIiOwNlOKI7CXmTsbbRh2mXoOT8WGyAzD5Ekw2D7jubFDvebBDqzhV3u4lNw4wMAT4XMDVZALYIK2pqczMdsrnCgzHm41O/zw8N+1FTxcXHVrJqphajRPrXjop7vmseckXOBnuewzX/YBd9a7LifXQAoM9aRhf5MR8qwn0DbN6Z9OjQHmKAXitOmcKPknrcSyA9IaB0+K+qxUAliG7680uIuum9TatOL2WtF4H6Y2JVgjkYj7WanLSPklvXuRL/NRAZZrnnc1xvwaccB8f4TY9vbOfOJgc4+R72OL5hyH32TfImwvVCrBpAyuBCiV+yiDTy/e3pxcAYOOY35dmfU6FTY7Hrczw/V+GjcLZGwLt71suDzNnUddt2UZERERERERERHacQniRvUx7Mh7FLvgDAwAAZ2xs9vk5QT0Sy6C8UGKwGuRgPBc2imAn6rDWwrgubC4HDK4AYIBcjlPXccyQ2ThAqYsT6cYwDK5VuQiqATAzw6n54VUMlRsNhsytFoP3gSEG3+VpbuO6QDjOsD6JWXeTTbvVXReYGWdPfakbuOdOBtTGYQCdiQCTAeJ04j1T4tdxyMVpGw1W7rRvBjgOgCT9FECMtIOGYXMmvR4/y4A8CnnDYXqKE/z5Lr6mXuVNhCDgy/08jw0wJB8b5ZR9qRdYsRpJrQJseDitrgkZrjdq/IRC2GQgHwRpt37MGx6bN/Cmx8wMe+NbLe47CIBCgQu/2oTnEqc3C/Y7cNGfEWvtvE9NwM/A+Gm/fLUMWykjKXC631QX38YWSzCF0qLT+SIiIiIiIiIisjyF8CL7oLlBfVLqYgCezXXCVON5sIVSp9qEPe89fHFlhtPx7WlyJEDipH3vhsFyTz/D7t4BBu2bHwEq1dnFXfPFdH+WNwAmRjgF7qcBvgXraoZXA83a7ImHIcPrZgMo9jCgBoD+Ie63Uec+pyeBSgWwIafYTbsvvgVELhBitpLGzFmYFYZT8Ulab2Md1tMYy+n7mWlO1PcMAMU+Ljw7Oc6++DjkNXk+MLEZmJ7mMWLLep+JUU7lx+mnDtqVOTNTvIGQzfEY2SA9FzCEb9R43eOb+dryOI+fK/D59jkFaZ9/EvM47X77BdhqeavvOZD2ywdZ9stv3sDT6BtcfJvyNDvotQCsiIiIiIiIiMgOUwgvso8zhRIsAFTKsOnEM0y6GGuzwWnpQmm2Ez1JGHLDAn0DfGx08+xiqX6GE9qtdBp81f6snrnvj6xf8TMM5uOI+2jUgEIPF5T1PC7iWgw4eV8scvq9ni5y2qix2mVsBAias13w7bA5SffXanEB1TgConSb6jRD5TBdsDRJALiATReNzWTYGw+HNxhqNd4UgMfeet9l5Uyjnk7Re+yud1xgaixdADYDtBrA+Nhs175N3y/jMCS34CcBwhYwOMSvy9MM4DMZXks2z/ciiRnSxxHPIZ8DJsa4r0aDnxIIAt5waKWLzIYR0KjB/v4GxH0DwMAwTHcvnGyel92owW7eyOn+8jSs6/K8AU7wxzHPsVbhNcVxuvDtFj83xnBR4EoZVtU0IiIiIiIiIiI7TCG8yD5uyy75dve3afe6ez6n29ud4NkcbKkLMAamxUVO7eAwMJ3Wu5SnGNymvfHGdWCzWSCKgUceYFjsukBiuP/udKLcSxdITY+BUlpzks/DBgHrV6Yn+VrX4X9LXUCjyuNGEQNvx2WY7hhOsvsZwITcxvMZxDtpwO04QD1mZ73vAbHHcBoJt8ukE/++x8VZS0WeY60C3D8F9A4BBx+W1umUgQ0PAVOTs73wjTqn3oMs62Vm0t74UhFopMF5HPOTBlGL70G9xnPzfaA8w4B+IF0k16S9716Wx5wcB0rpDZLpqXSBXQfo6uYxLYCxzbAjmxAPDqc3MDbxPcsXAc8A1SpQ2cwfhlI3H69WeU6tBqzvM8hfoHLGGANruNCsKSqEFxERERERERHZEQrhRZ4g5lbUbC23yOOzkt5+TlZ39TKkzgSz9Tauy6C+WmFtS6mLgXAuxxfXHYbRYYvhct8gTCY7e26uyzC+t58PZDLpRLrLcLvR4GS76zGIrqWhvOMBMHwsl2eIbcDFXhOfQXcYMuB2XdbOhAkAy8A+n+fUfiZgQF7qYl2O6wFocbsk3d5PQ/c4mZ0ezxeAKMOQvxWlC9H6PF+AU+2Oy+AdCYB0Wr5WBcIGQ/RcgRP+DoCoyXNxDT+d0J5+R8J9d/XxPPIFXlMUwvT2s8d9/f28nmwBKBRhjANbq7HuJ19Mvw+1dJq+yfcLFpgYh80XYQrFhb/xfoavUyWNiIiIiIiIiMgOUQgvItukU2tTnmGA3ajDOg7D6CgCYIA1azkpXq8BQQiEHsPiOAHKE1zsdO0haQC8gCDH2pveAQbeI48ylIZJJ/A9TslnsqyOabW4MKt1OCFuwAlx3+c51Srcr5/uI6rzJgEcoJgHCt3pBL3H/7bCdOFTj0H4+Cin74slPj49OdtZPzXOgB/gwrLtKppWk9efK/LcwgiolfkJAGtYLwPwmJk8UOjia2KXk/TFIjCTsEImjoEN6/meZ3xg06NckDVXSCfpp2HrdaA2w0l9x3Dx28GVsIi5qG27fgjge1mtpgvC5nlDxHO5NkCQhVmgloYVRdFO+RkSEREREREREXkiUggvIttky1obW55hyNsKObleKsCUugDfhy2XgZGNwPQYB8BzBdbSDK/iorATY7DWbl2Bkskw9A4CTnWvOQh49GGgXmanfLvexTgAXCDrAW6BPe1JC4iRLl6apN306dc25rS5cYBsib/5ggBo1jlZbu1snYwxnCZPAKAGVGaAnl7WwVQqaSBtGai3p9LDCJgY56S9l0kXWJ3m9Hocc3sYBumdxVVDTs/7PtDdDSTubN1OHAGbHwWmJ4BGizceenp4LeUZ3hzIBKypGRjgJwCyWaBeBx5+kDcH8oX2N27uNzFdXDdKF9pF59MFttmA8RaYhrc2/cSBiIiIiIiIiIjsCCUrIrJdlq61SQU5YGBo3kNJJe0/d12gUAQqM5y+TkNiay3D5/4hhsRhCKw9GMhlgXvvZuAMyyC+2AL2O4BT8+Uyp9uDPOtuGvW0cz0P+FkG1GELyGY4kR/WgVyJdS9RyKl2EzKoj0JgcGVaX+MAppvVLRY8TtRKp8gLDK+bNYbUBgzgE8trtJbbGofHtwmAhFU49Qbgp4+3GsDkGG8+uD4Q+Hx/opALtmbzvFHgpLU8xuF2zTowuhFYuR+vsT7Fxwsuq24adYb1fYPpJwnm8DygmQbxAK/F89MFdBcI4cMWUCjBRuG8NQXgeEAuD6NFW0VERERERERElqQQXkR2i06dTaXMoDlfBGpVWKQhtkW6mKgH1GpptUwADK0Bxsdm+8xhgZ4+BseVCheEtYaVMTbhY40mEDW4jecxILcWXJDV4TS4tZxCL+QZKEctBs61Cv84bto7D2BshHU6ScIbBc0m4IS8UVCt8DiJZWCfJGnlDWa76JN0ut1GPK/QMBwPMulxI16rBTA1weP29vNcG1VeX5xw8r4d/OcKwOgmHqNc5k0Da4Ak5HtXr/E6fZ8hf+cbYVhBYxMAaT1OkgDTU0hqVYb47Y79Ug9vNgQR3wMDwM/A+D576Ktl2EoZtliCKZQWXNxVREREREREROSJTiG8iOwWc+tskE5UW8dh8J1WtRg/4HT14EoAlrU3tSqw+gBgw8MMx32fYXwzXbi1pwdoZtnB7jvA5AQQ9TCcL5cZWAd5Tpc7GSBKp7Zzee4njtP++DpD8Eo5nT530lobjwuszkzPLshqYyC2nIqvlDnVHrdmw/0OFwhjhtewgOMzKHfAfUcRa29qZS7uGsUM8MMWA/5iMQ3vHWBqDIDDCfdWk8E/0qqYfIE3AKKI59RqccK/PM0QvTe9aRGGnHiPWnzcz/D8ZyYZvvcNzvb1NxvA5H3pNH4/bN8gHMeZ/X46DhBk+QmG8jQLd7R4q4iIiIiIiIjIVhTCi8hutU11Nu1t0+1s3wCSnj72zNdrDJLDFjA4zOC62QBg06qVJuD3MuTOpBU2uSInxBMLVKc5ed4Oxl0DIJ1U9zygXp3tZfczQLGbi7Bay2DeTafmk3TK3XcYeifplP3cRUxt2kfvuAAcTqtHcbpvC0RgKD81wSA/4/HcCnmgOpOG4xXeHOjqZkAeh4CTVvc4DhevLZX4unr6CYLJCd48yKa1OWHIvwcBb0YEOaCnH5geB/7vdj7f1z9b5WMcXlvvAG8+VMqcvF+grsYYwxsrlTKS9iK9C1TWAFCdjYiIiIiIiIg8ISmEF5HHPeP5MD19sJNjQN9aLkBar7JmpV4HxkeAmQkG8MYFgiwAw2A6k06Ad/Vy0dRxhyE+LODn0i74BkPmRp0HjEJOuvuWdTBRWhfTbKb1Mpa/PY1hQJ7EAJzZnvXOiSOdqAfDfpuwkqb9ZJLw+SgGEAFegVP41SpD/8TyRkCryf541+XxfJ/Bfr3BBWPr9bT6xgO6urhNs85qHscBunu5cGv/MD8VMDQMNFtApcp9tReETUKg1gL8gIvROi47+eMImJlih7+38P9s2LTGxxSK8yprbGUGdmQjz6lQgMkEqrMRERERERERkScUhfAislcwhRJsqRtoNIDKNAN4a/nfUjdQLQPlSU6LR1EaKseA9dJe9DzD95VrOI1dnuGUeZywmz2sszu+1WLYns1zSt31ZjvVWxED7yDg1HwcM7iGSY9l5590PCeUjwy3M85swI6EX7erYZo1oBUCgcuJdy8DuAGvpdng+UQR62eCLPvow1bao1/nYwacdPeygG2ySqe9QGscAysGGMBvegQoT6UL3Zb4umLP7PvaqPNcigXezGi1YJsNGG/raXhbq3YqckyQnf2eOQ5sHPO5JAaSCLb9mOvyPc4EMKqzEREREREREZF9mEJ4EdkrGGNgBoZhpyfTxUnBANpxGTIXS8DoRlaxlKc4EZ8vAoUc4PpAqReoepyMR7rwaL0OTIwycK5U2Zte6AJyMUPrsJUG+h7gxunipxHSEXdO0ftZHqvVTGtxFmP5x4KvNeDrrWFtTq3GxwsF3hhwPd4ssGn1TJzWvDgAWnUgk+WNBFjeNAiC2UVWy1PpPnyG6BseAdbuz076Rg0YGwUqM9xnscR9bNwIbHyUNzRK3UChxJsd+TxD/ijia7eopEkaDS4Qm8RAo4akXuUTnsf3rVYFfJeL5cbTQP8wTJDlJHytwmn4fBEoz8CqmkZERERERERE9kEK4UVkr2HS7nFb6AI8F8bMLhRqm3VgaBUwuAKYmuJCpoUSA/sgz87zTLqoa8EyMD/wcOCeOxlae5m0z93Mht6wDMHbNSmOw2DbpoF6kOHfM5l0gdl0Et710tenvfHxljU16eOR4fR6dx9DeA8MritTnIRv1IFsjoF2Jsu/hw1eU2WG++/u4/N+GpRns9x3K+R0f5gFuhyeQ6MM3Pt/DOor08DkJK/ZOAzXCwUACTvgGzVW/gQB++ObDWB0M5LJcR7Hdflco8mbCbCcsM80eY2t9P0oz7Dep7uH0/5hCPg+F3bNBFzYtVYBPB+2Uec6ACIiIiIiIiIi+xCF8CKy1zCeD1sscdHSVivtfk8lMcNoaxgml7rAEHiaobgxDIErM9wuyHIa3jUM03t7gTAG6hVu36wCbgZAzAVT3fYCrDH3FQQMxpEwe3fmnKjr8tixZQXMlmzCipckBrw8Q2qbsKM+iRh4t5oM/cFdcSFWsIqmUk3DczedqE84+d6etI8jnq/JcXI/SYBHH2HPe9hKF7Ots2fec3m+1SowPQn01Dn9Xiylr3uYFUC1Mj8l0DfI7cdGgYkRBujFEt/PgRWs/nFd3qjYvIHXWOzmFH82x+Pm87PfU2NgMwHQqMOWZ7ZpwV4RERERERERkb2JQngR2auYQgm2fxh4+AHOnfuZdFLdMCw2hqFwNs8A3Ljseq9X0kVNg9lKlUqZQXqzxTDahIDNA40K9+tY7jOO5iyI6jCcdl1W1jjpcW0amPsBj+kinYBPFriKdGLez7AbvlZjkN6oslqmWWfNThyni8GmNxjax253z5t04Vi4DN0TzHbcexmG+40asOFhhuRRi8F7Vx+PUa/zHPwQ6UqzwNgm7t/PcEK+VuUNioMOY4hemeHrKpOcum/UgUfX87orFVYAdXdzQj8MOdFvLZ+v12c/VTD3e2oMrOPweyQiIiIiIiIiso9RCC8iexVjDNyePsQAMLaZQXeSMCBPEqDUDeO6rDmJQmBoBZxCETaKYJsNdsBPjrFixRhg7UHAA/dwYt64nI4Pm0C2yGDcgMF1JsM6m0xa9xIns53xcczJ+0KB5xPFDLwzFggdwIbzL8LxOA2eK/Kc2yF/K+TEOAzDbJuG7HF6DN/nlL6TBtlJDDRiBuaW9S4whgvIttIbAGHEc7XgPjIZBucWDPVbDaCF2Yl9Y3hOvVku8Do9CYxuZsB/IICubtbhJOD11ytpb31aSZNErAJqNrlwbBDw6/b0e7TAJwMA3mRohQs/JyIiIiIiIiKyF1MILyJ7Jae7F9bzOM1uAGschusGsK0mQ+ZiF0y+AAAwngfjFZHk8uyKz2SB6XHWuwyvZDjv+gzPS71pPYzH6e/yNIPrYokVM/2DnDwfXMFQ+Y5bgSQEcl3sWo9CYCZ9TVIDTJBOnHucLrcJF4HNpYurWiDtleFkvO+zRsYLuGhrEqcBesDnKjOA8Wa72I0DwOE+bcKbCO2+/CRJp+cjIEy4z0Y97boHPwWQxGndjcPgHWCAniRAPsfgvzwJbHgQmC5x21Z6A6JS5nl5LgN/N+TNivERBvJ1l9sF+231PbRxxIC+UWcFj59BUpmB0QKtIiIiIiIiIrIPUQgvInslYwxMsQs2m+OCnvUarO+z2qW7Fyabh/Hcea+x1sI0G8DQSphsDknUYmVKqRtYuR+waQOQLTCcjiMuOhqFrIbJZhmQ53IMjvsHGZ436kCxwP96DmtfXBcYDLh9uZxOuscMvlstAA676xsNBuZxBCQOg2xr0mocZ3Zx2FaL3fVxxKoZx+G+EpfhurWsv2k2eK5O2skehgDc2a58gFPsnssQP+PznKenOdnertvxPG6HBMjk+QmBIMve+GbIawmy6ScQ0koemwCTI3wvswVO+9dqrKOZGOdNiVweWLEaNop43dXq7CK1ns8bItUykqkJnkucVvS0Qk7w5/IwpW6F9CIiIiIiIiKyV1EILyJ7NeP5MEUfKHbBDgzDVsuczo5DWMcw5LWW1SkWrKsplBjiDwwD1TJMkEXSNwR03wtMT3DhVwvAt0AuAByf++nqZiA9Ncrg2HH4WO5I4NEH+bokZnAfhwDS10QhMDPJcwibDMBzPo8R5IGwwYn6OAZMwq8dD0CSPpZeQysETJ0T+57PfYWYXSA2ThjWG4dT6FEIeIYLqjZqvA43vTGRtIB6WlvjuAzSXY/BensBWi/D66hNA4VufkogCjnRH4XcJok56Z7W1CNJuFir5wL1KgN9L/2fmigExjfzWoKAgb0xXITWzwClbgb0lTIwM8XjFLt4syCOgOkp2HodNpeHKXV1vo8iIiIiIiIiIo9nCuFFZJ+x5XQ86jWG0Y4HFErpdPzsrz2TzcFWyrDWwvF9JKv2SxdtNexKT2IG1EGWjw0MceI9PJgBcqsJPPoQEFdYRwMXGFrJkHlshJUucxdhbYUAHE7O9w0BE2OcIHcD/jZ2HKDuA80qEJm0wiYAfJfT92F7Mj/tbQeAfBenxK0FkjpDezddwNVJF6X1PaABnm/sMGyPQk78w6ST80m68GvMSfdsnsdpNljBMzPFIDyTYZ0PLG9IJBEn7lt1vr6aYVjf1cOammaD5zM1AsQ8HB5dD3T3AivWAD19aU99DRjZwOn5ZoM3LQAu8NrTB5RK/DRCk/38dnICtlqGcdzZ73EuP29KPmnUYKcngckJIG4Bbgbo7YPp7oWTze/aH0YRERERERERkZRCeBHZ58ydjl9uO1ssAeVp2GwOJl9gZF4tA36R0+YAg/cgCxPHQG8/69Qr00C+AJsrMHw+8Ejg0QcYdOfynIB3HdaqNBoMgZsO99vTn1bAp53uQYYhsucxnB7bxOze9Rhwt6fq3XRiPcixFgZNoFicXTw2sYADTsI7PhB4fI1xOC1fr/FcXW82XDc27Yc3DLPjtDbHGna8h03eCPBchuvVKv/uOjyeMenitOC+Rzdx4r/dFe96DNlh+ToLhvkzUwzcB4eB/iGgdwCYTBfNnZliwA8L1Kp8P7wMMLwKGFzJGxyZDJDEsEOr4AQ52CQBqmXYShlJvgjUylxQ1jEM590cO+jHNsOObEI8tAJmcCUcx9kVP4IiIiIiIiIiIh0K4UXkCc0USgze0wVeTS4Pm0kXL61Ms+KlWAL6h2ByBRjPg7UW1gB2aoLbGQDdPUCyP/DI/cDkOIP4IA/AcoK7VmHQ3tUNlLrSRU8LQDVhSO66fD7jA8VudqjDAkgYQIcN1tjEURqmu6yZiUIG52HI4wRZTrG3Gjz3OEqn4h0G504abnseENXYBW/Bafs4rZWJonTR1nT63rj8rwUAB6hXuL9MhvuLQlbxBLnZWptmWrFjLNDdzQC+WGTwD8v/Jgnf91yO1TUjG/h42EgrgNJPEeRLvBHx0H3cxvWAvkGG/NMTsL0D/IRDkIW1Flh/D1CpAsMrYeaE7MZlvY1NEmDzBl7O8Ord84MmIiIiIiIiIk9YCuFF5AltoQobk0RANgf09m9VYTP3NXEUAT29XHjUhAzie09gsDwxAoxt5sKsXX3AqgMYxAdZTssnNu12z7Auxs8yCG/X3xTCtK/dYehuAHjp5LkxDPAL3UDSBKamGFjXqpyuz+eAUg8wPsrXN5qcZM/mGNZbw/1lskCznnbLO5zIj2M+3q6lSWJ+MsDGDL/9AIgSBvSeB9TqQGWGNwiiFm8k2IQBe7MJwHJ6vquL19qKOK0fp/uOG6zladaA3kFeGxy+LrE8PwdAnFYEzUwCK1bzRoDrAQ/eBzsxAhvkgHyR4f8jD/EGQbUEmy/AtHvw298/x4EtdQMjm5ComkZEREREREREdjGF8CIi2PYKm3mvCVtA/xBsvsggOshyodCePmDN/pzKnhgDJkaB6cm0uqXJ4N5aBsX5QhqeJwA8TqE7DhAUgO4MMDkJ1Ot8recChT5OhbseJ8ZdDygUeEKNtArHOrwB0Gxw6t5P92t8/tYvT6ehvsfe+TitoWmFnMq3EdACXwMAsPw6iriNHzBkD1sMyV0PcAGElvuKmqy2MR6n3H0faLZYVdNqMozPZtNrtgzu63UgM833IlfkDYN23/v0FM/TSReOrdf5x8vwkwPGY/VMZpI3GWB5TtOTQKsBmysCudy8RVyN48A6hp3xCuFFREREREREZBdSCC8isqOSCMb32Q0PANUKrAFDZ5a+s8oG4NR3qwm4uU7HPPKl2d746am0faYdbjcAJ11UtdjFcD1f5MT75AQQ1YFsAch4gJNjJQzS+hjfY2jfXrA1jLlvz6aVMhbI5FhFY8I0iK8zlHc9nrtNA/XEsmLGuKzMATgV36gBrXTh1yDL42UB1Bq8dMdN3wfL/SURgAyD89oMp9v9gJU5YZ3hfqvF17SagGv4SQFj2BO/YjUXv40TYON6YGCYdUHG4zkWSnwPGnWer034x89wah4A8luE7bk830tV0oiIiIiIiIjILqQQXkRkRzkebJLAOA5MoQgbZGGbDQbBScTJ7UIJpm8ItncAiNallTBNLkqapJ3phSIAy+nuZpgG2Jl025hd6wDDddcDunqA8gxf04q4jzhm6F6vsdrGWHam++mkeKMKVGoAEtbN5LIM4qsVht/WpguxhpzET6LZ60yQVuekx/d9nn/UYjDf7qg3FmjVATjcFjatnEmrbJpNwAt43Ho6QR8ZoDzJrH56BiiVGMDXG0DB4zVXq1ystV5n+F+t8GbFQ/fNduOvWg109XLKP18AqpuAXIHvne8D9QpsEMyvpjEOF8wVEREREREREdmFFMKLiOyoXJ596UEWAGA8D8YrpqH6fDaTAfoHAM9nOJ4kDL/LU9xHv8NKG8/nFLzvM0RuhVzM1dq0S77O4LlYZD1MknAy3SasZomzQG8vUM+ltTDgtLxNp9XDkNP3cMGR9fQ/7R53tP+7hTjmjYF217vjpDU06dR82GJwH8eccg9DhvqOAQoBj1mv88aC6wPlGm8kFAq8Hms56V6d4YKuAAN94/KmxugmhuZJWouTzXKfngtMjgKPPsDnfR9YexBvVCQJQ/sGeEMk12BA3/mmJICb2Uk/DCIiIiIiIiIiC1MILyKyg0w2B1spw1o7r298S9ZaGNeD7R/mpHarySA+l2OYXCgBmx4FCmC1Si7HXvQoZAgPMDyOY2B6nOG2nwE8B3CDdLHXBhdJHewBBlcCoxuBmSan4x0X6O7m9Hq9zsd8D5ieZuBdLac1NQk6wTyAdEXU9OuE0/Rw+Zjrs5s+TKfefR9oxZy6dxxeR5LW2TSqvGGRWACWIX6ULjzrufx7GKUd8Wn3fbPFkN730oA+mV3MNZvjc0mSVs+A5+M6DP8feZA97129vAYDvj/jm2BLPXz/HcNqmzUHIGnUtDiriIiIiIiIiOwyCuFFRHaQ8XzYYgkoT8NmcwsG8dZaTnKXujkhbwwn3msVBse+z5A5W2AoHMfsLvc9Tra7Hhd2hWU47WeBAECxO615Sfvaczmg0eCisK4LDKxK++VjhtBu2lPf3cMFXcOI0+s2SXvfXcDxuW2cBv+dAH6u9LHONglraQx4/p7HLnknraMBONkPw3C+3uBx4QBJi1U2YTS7P8cFGi2+NsZsXYzjpvU9Dv87Pg74Lt9XP8P3NW7xGNUKg/2pcfbJ9w7wuXoD6Ovne5WAQbznw9aqiIdXAb39MM3GbJVQLs/riSKgXoNtpe8bLOBnYDIBbNr/b9qfBEhfZ7I5GM/f4Z8tEREREREREdl3KIQXEXkMTKHEqLlSThdlTQPhdkWLBVDqhimUYOIItlCC7eoBalVgZpIhdHma9TKr92NIXJ5KFzotcMHWYJpBfibgRHy9mi48agFrGNbXq9xHkvA1xuHzUYNBvrUMlI3DTnan3dNeT7vmfYbnNlk4e5+9YnTC9bnCkI9Haae8nVtpY4FmjTccopAvj9KgvVGfv59kkYO3H7fgtTjg+Taq6c2ItJs+TG8IdI4zDjQqQJSkAX9a5+M6s2F8bxl49CFg1VrYlWu4j7DJaftajZP3fobvFdCZzLdRK/1Ugs/O//5BIOPCVMv8hESxxO/7QjdnohC2Uec5K7wXERERERER2acphBcReQyMMTDFLthsbutQtVCCyeZhvPRXbTo5b8rTQFc3THcPACAZ2QiT9srbMExD5JjheqEIVAtpqI7ZtphaleGwcTiBDodT4e36Gpv2phsHqJQBlNPHAU6vp33tNl3A1YLVNlEEoLnEFTtcgNVu2RvfDuft4kG6dXlT4LEwJp2kB28i1BusrnG9tO/esBKn3Rsfh8BMg1P+ScJA3g+A7j7W8kyNsVO+p4fvk2OAnn5gbAR4ZD3D/GbaZd/Xn3bIp734rQZQ7AKcDBeOhQVyedhCiYF6eZrfsmLX7FtgLWy1zGOlN22M78MmCbAN4b2IiIiIiIiI7H0UwouI7ATG82GKPkPZpbZbaHLecWDj9qKmhgFxkOV0e6GLC7OObwbKZaBeZhDtOgyRS70MoCfHgK4uYGyMdTaJ5SKvjsOp80cfYjAdp5PqQQ7o87g4bC7PQDmOeQPBtCfZ0/73+VfAWpx2EN6xwGKuW76uU2HzGNg55xNH6X/ByfX21ybie+Q4QMsCzZiT/wYAfCDnsBd+epI3S3wfGB0BSn3skx8f40KwuTyQS/v2xzYBtTLrgBykIX8eqG3iZH3Y4jR+3yAQBMDgEGz/CmBqklVF6XS7rZb5yYct6ouM4wBBlvVFC4T3IiIiIiIiIrL3UggvIrIbLTg57zicrO7q4Z/pKQbsQZaPG8NwN18EoiGGw2EDmBjj4qNxi1PazQZf16wD2RID/WwW8Iqc1E7SCfZqGSjkGRpPTHIS3hgGy0nCYH5BLifN4wXqaPwMw/vWIpPuxuV1xkt23ewcNuZQfqUyG/x7ATjFb1hN48ZA0wK+ZZjvZ4DyBBDW2SFfKPGTCDNTfL+8gJ9OaJW5T2uAqUkG+EEWgOHNDs/jDY6xzUD+fsAxSPqGgYMOA4pdMJXyVgH8vLfJGNhsjjdpVE0jIiIiIiIisk9QCC8isgfMnZy3vf2wYyNAEMAYg6RQ5OKtQRYmn+dke98AbBTx8Wwazg+vAmoNoFnlNHx5htPw9SbDdj9g37tx+JqZGaDUxdDYTRdO7e5htU2QBcIKkCuwgiVsLTDcHrP6xs9s/ZxxOFXueAzyt9zARst0ze8CyZxz6NTvuLwZEaXXV62k71WG2xTyfC+6e4F6nTc6kgRIQk6wA7O9854326tf7GEV0PoHgEz6CQPHZZi//kHg4fuBXBF2YADY72DW1XgL/0+wMQbWALZR58+IiIiIiIiIiOzVFMKLiOxhJu2KR3ma08/5AitrqpW0ssbnZHfY4iKv+SKQ9oYnmx5heLzpUYa+5UkG7oUS+95bTU53ewEDeNcDevo4Je64QPcAw+ZWk6FyLsfjxGmQngDzFmM1Jq2E2WKBVgf8u+PyGFHE4H1PmltdYy0Ah49VyrxWJ62syebBupwImJzgdlFazdOss9an2QBqFX4dxWD3vQWialpHE/NTADMT/H6ZdP+NtE8eBnAneBMFDuzAMGyhCJMvLDwV72f4KQlV0oiIiIiIiIjs9RTCi4g8DsztiocBTC4PmwkY4lZmGBAXu4H+QZhcoTNFbRwDU+pCUq8Cg8N8/chG1qhkMpyi93qB7m5OwlvLzvnKDIP6fC4Ni8tArQk0qqyMMTatWbEM1E0auDsOWL2SYDaEdxjW24jZvOsCjgVCMMhub4OEAX28B8J5m8xOwdsICJPZhWmNk067RzzPVgOYGOH7HUW8SdFe/BaWnxSI0kl3m74PrQYXiQUAuIAT8lMBFtzWRkCU3iR5+EFgYBCozLD7vVDc+nyNAZIINgq3XvA3l4dRVY2IiIiIiIjIXkMhvIjI48BCXfEmiThF3dsPk12kvsTxYJOEwbe1MKUu2Fyei45OT6RVKx6Q6wWMn4bHBli5loG65wOOD4wZoDnJv+fyDMqtZRhsAGSynBiPbTpZH3NfSBeJTaL06/QcmxHm98+kYfcCdfK7zdyFYW0MxOk0f70GJOl0u+sBTZehe6vJ622H6K4HROlNBBszdDcG8DKsBIojwM1wP1EMuAlQrwBxFojG+PpsHhgbBRoVfiLB9ZEccCgwOAQnyM2eXpIw/B8b4fvvZ2B8n49Xy7CVMmz6aYiFJumXCu8BKNgXERERERER2Y322RB+fHwc3/nOd7Bu3TqUy2X09vbiaU97Gl7+8pejWFxg6nABb37zmzE6Orrgc93d3fjyl7+8M09ZRGReV/w2yeW5cGg2z7qUTMCwvn8QtqeX3fGNOsP4sAUUikBXN6fkpyaA8RFW0Kxcw6n4hx9kl3yQ5etcn/v20wVHW3UAGSAMgcRjAG9chtiOkx4nxNal8ekEfbKHK2rmseDHDuY8FEd8Px0n7crPMIg3FogaPP84XeAWCW9sWDu7IK01nJSPY1beZEK+b0kCTI8DZpz7iELgQJdh/vQk0DeE5ICDgOE1cBzDxXmTGAgCII5h6zUG5+3QPMgCkxOwUcTvdxqoW+N2vgfG9+eF97YyAzuykZddKMBkgmWDfU3ii4iIiIiIiDx2+2QIv2nTJrzvfe/D9PQ0TjjhBKxevRr33nsvfvrTn+K2227DBz/4QZRKpW3aVz6fxwtf+MKtHs9mszv7tEVEtpvJ5mArZSATMEi1thOgGtcD8h6QL8BaCxTSRVnL06yi6R8ChlYBk2NAZZoha+8Ag2Qbs74mrHOxVhigWuWEdxQxfHcyDHTzBYb6rRBo1FjTEsdA2OTrHJchfmKB8PEUwgOAXaAex6T1NA3euPBc3miIo9mJ+c7LQ6A15/VxjM4NiKjFP/UGrx/ge2kdBu8TYwzZTYPHrFaAsIVkxX68ETC8CrZW5ePp2gDGy8LahDdcqlXgkQdh+wd4vs0G99tsAIUS7OAw0NMP4zgwjgMbx5zuNwaIszCOw6t1HCDI8mekPM2rK5Rgq+VOPdL2TuKLiIiIiIiIyKx9MoS/6KKLMD09jde//vU444wzOo9/9atfxU9+8hN861vfwrnnnrtN+yoUCnjlK1+5q05VROQxaS/qasrTsPkiUKvAZoJ5wai1thPMGteF7Tlwdno6l4UN1gDOfsDIJiBbYCVNvcrAudYARh5O++RjBuqFEsPcqMVJeS+dnE8sA3mAYXwcsaolihhie0iD+ce7uZ05Sdp/H2KrxWgX236rp2MG9cYFUEGnH398hBP21vA99Tz2+Q8P83174G6gWgPyARDkgb5B2N5emEwWtlYDNjwEjG5kkJ8vArn05nI2y09APLoeqFaQDK5Ib9JU0kViwSA9yM6rODLGsA5pahJ2egqYGuPPgpfW6LS33yKwN1o8VkRERERERGRJ+1wIv3nzZqxbtw6Dg4N4/vOfP++5V77ylfjFL36BX//613jd616naXYR2Sd0FnUtzzA0bdRhHYfhaRQxHM8E7CQvdcFpTy9vEZ4mjgtbr6UVLAkwPpouxLoKGBgGZqbZPe+lFSzTY5zyjkNW0Lgu/xiw/z1OGNo7SKev0xA/ibe+iL3Cjhbap6+zMdCac+1TE5yMdz0upBu1+ImC6iTQN8zvXTYH5DJ8jzc8BIxshM1lecME4E2PegPozQLVKaDRBPoH+amHqMWJ+kyWk/gGszUzxsA2GzDebD2btZaT9+ObgWYLGBjkTZuEk/e2WoYNcvweN9Pv++Q44lVr4RRLqqcRERERERERWcQ+F8LfcccdAIDjjjsOTvpR+7ZcLocjjjgC69atwz333INjjz122f2FYYhrr70WY2NjyGazWLt2LY466qit9i0isqdsuairLc9wQdBWyFA3V4ApdS2+uGtbLg8UCkBlhpPZXd2caB9cwVA9n05rt1pArQz0DAFDPv8+Mcou+ShMQ3ePAXKjzon4ZpOBvusAzZALnfo+z3Gh6fF9nUlvWDSqfF/yJb5f9TqwcSPgZRmwNxqshCkWAT8DTDzE9zoIgO5+AJY3RCYnZ6uAHrqfN1iCAJiZ4L6adaCnD7ZvEOju5Y2U6UkkXT08j2yeoX+zzudaDRjX5ak6DqyfAWo1YHw9f0a6emC8HCzqwMQof+5UTyMiIiIiIiKyoH0uhN+wYQMAYOXKlQs+v2LFCqxbtw4bN27cphB+amoKn/vc5+Y9NjQ0hL//+7/HUUcdtU3n9M53vnPBxz/2sY8BAAYGBrZpPyJb8tJAVT9DsjPY7m6EcYjw4fvhlEpIXBc2iWCjEDAGcT4LG8aAsUgyWTh5D5nDDkdiPIR/uBlOsQjbaPI1jRbifB622WCwXJ0GYDgxHzRZZ1PsBmA5Ed7aG2pqdiIbs/LHdTkJ36jzsShkv/uGB4GBlUAmvckx8giABKi3AFigldb8xBG7/Ec3MoyPIlb+tJqA4/P1Pf1A3wA8y8VhzehGmO5euEMrEfT3I2nUYSdHEU+Mwenrh00snGIJXk9P53STWhUIG7CrVsO2mnBLXTCeB5t0wcQxnMFhoF6DyWbglrp36C3R7zMR2Rfod5mI7Cv0+0xE9gWPp99l+1wIX6vVAHBB1YW0H69Wq8vu69RTT8WRRx6JNWvWIJfLYfPmzbj88stx1VVX4SMf+Qg+9KEP4YADDthp5y4isicZ34c7tALR9CSS6XHYKIFT6oJNEthWE6ZeQ1Ieh3U9mCADd78D4Xb3w4ljxMUiEmvh9fTCuh7sxBhMkIHNF5BgHEkScqLbcdh3bi0Ay68LXYCdYkD/RJLE/BO2OMXe5npApQK01vP59nuVzQJBjl3+jTo/seAHnH6PKgzkbbrfKAQCy+cmRoGwiahShtM/BKe7F3ZmAsn0ODA9AbdYQuK4MPkCbKOBuMLaGZvx4cABwghJeQIo9cJJEhhjkDQbcL0iYAxsHLFPPpeHnZmCzeZhfFXTiIiIiIiIiLTtcyH8cqxlN++2fFz+Fa94xby/r127Fueeey6y2Sx+/OMf47LLLsP555+/7H7aE++LGRsbW3YfIgtp38nTz5DsLNZaJD2D7H9/9F7WlGSzAAyrY5pNoBgA/UMIMwHqMzN8YbYArL8P4fAqVtdYyzA5k2PQ7vsAHKBWYZ+4SWttLNgXny9x/406q2qeyOL0+qMW/+t4rAGq11lP02ykdTYeK2JguI2N+F5ay8eikBU2rYQ3QKankUxPIMmli+/aBFEzAgYGGfqb9NibNvD7lcuzX76rl+sKNFrcdzYLzJRh+gfZF5/EcCYmAICffAhjODuwWKt+n4nIvkC/y0RkX6HfZyKyL9jZv8tWrVq1w6/d50L49qR7eyJ+S/V6fd52O+JP//RP8eMf/xh33XXXDu9DROTxyBgDt6sb9ognIfEDYHIcqEwxhIUBDjqMi7wWSgx82/oGgQ3r0773BMgX0y74BrfvH+I2k+MMeZOIC7d6PvvLG2WG8FWXi5TOP6v0vzu6MOpeLomAVhrMO+n/bNsYiOYs8hrP+dqka5a0Wqzbz2TSvnifU/RJzK9LXUB1BvBcoDzNifxWK52iz3L/jzwEmEeAvn6gfxjI57kPv32jIOT3us3P8PkdCOFFRERERERE9lX7XAjfviOxcePGBZ/ftGkTgMU747dFVxfDhWbzCdZhLCJPGMbzYVavBXp6YYIsACAZ2chAvV7nwq8wnNA2hn8GVrDnvNgNOAaAZdVMrQrkuwDfY7i79mBgcoLbOgYYHwUaTVaneD6QK/AYnQVbDZ6Qi7cuJNmGTwlYoPN+xRHg5tIFcFuAseycL2VYDVStAGEEOJYvabX4eNgA8n1AxgOqVS7EG7X4PS6UgEaDawVY2/n5AMCfg205RxEREREREZEnkH0uhD/66KMBAOvWrUOSJHAcp/NcvV7HH//4R2QyGRx66KE7fIy7774bABdoFRHZV5lsDrZShrWWFV6uy9A1n4cNAlbTNOsMeuMYOPBwYGaCobsFq2x6+oByGZgYYXDf1w909QFdXUC9AUyNsNu81MN9hR57z72Ak9lxyIVGZRs4mL1ZkX5qILGcVkfC8N1kuWhro8Z7G80mJ+Lj9JMJSQJW2aRT9O1PjVnDXU6N8/lCESjPAIMrYLw5/6eEtbPT+iIiIiIiIiICYB8M4VesWIHjjjsO69atwxVXXIEzzjij89x3v/tdNJtNnHbaachmObkXRRE2b94M13WxYsWKzrYPP/wwent7USwW5+1/dHQUF198MQDg5JNP3g1XJCKyZxjPhy2WgPI0bDbHUL1WATIBjOsC+TxsLsfKmWIXTJCF9X2gPwEmxhnk1mtANgAOPRrI5liFEodAmAeGAqBaBp50ArvNJ0b5p1bllHwrZE2KTYAo4tS94wGwaWisiev5ki3+CwAxp9tdB1wI1wVih1Uz1SrD+CjiJxCadfbAOz775eMQGNvM8L3QAvIFoOGyP371WtbcZIL5pxC2OCm/A2wYIqlXkYxu4jS94wG5PEw2B+NpoVcRERERERHZe+1zITwAnHPOOXjf+96HSy65BLfffjvWrFmDe+65B/8/e38aY2ee1/ff79+1nHOd/dS+2G6712l6MjPAzXDfkYD8w6AMjRKUSDDRJBEKIoIoTyIejRRpwgMSIRTxKIwQiQhCYkRmEoUkiBASIkXhHyX8/8B0Z7ae3ry0Xa696uzLtfzuB99TXtp2t7vtdpXLn5dUKtfZ6lSdMx735/pen+83v/lN1tbW+PznP3/jtvv7+/z8z/88S0tLfOlLX7px+f/6X/+L//Af/gMf//jHWV5eJkkStra2+PM//3PSNOV7vud7+PEf//Hj+PFERB4ZV2vYTHW/ZxfkuS3jdECaWkBbb+KqNZxz+FrdgvO5BdzC8u1T0syWY49H0Gjht69Da94m37sd6xOv1W9Wv0dTGA8AD6EtErUQObev85zbeuJdaF3pcrtsCkfHK/p9YNbFn2ZAYL/jctW65NMMpgM74FFp2BLW8QQ6B3agpNmybvhm216Pg12KcsXOkhgPbXHsdEI+6EHhrZ7+fcJ07z1+0COfDKzOJgxxcWzvs0HPzsaoN3C1xn0tVRcRERERERE5aU5lCL+6usov/dIv8dWvfpVXXnmFr33ta8zNzfHyyy/zkz/5k3dMt9/NX/gLf4GNjQ0uXbrE66+/zmQyoVqt8uKLL/JDP/RD/NAP/ZDCABE59ZxzuHrTJuHHI3ya2qLWpAbVOq5cwUXhzTtUqhbGEkCe4YPAglXvbUraA42WhfvbX4NWyyax2/PQaNlj5B5CB51965If921yezqx+x9V4+TRbMloaFPbPudmJcut1Sxyw3gw+4OzID5wkGPT8unUDnIU3g6w9Lqz2wVQSsDNwnuHLdhNKnbb8Qiac/bal8s2Yd89hDDCN1qQlHDvEab7Qc8O3Kyfsffb0BaouyCAcmIHbnode+m18FVEREREREQeQ85779//ZvJR2tjYOO6nII+pxcVFAHZ3d4/5mciT4mhqmX7Pwti4dGfIXm/YAtbJ2OpobqsWqd6Yjs//7z+E9qKF7S60x+kcwOY164nf37KAfTCwx56OrQIl91av4kILgANnQf50YiGxL+x5aEHoeyuVrXqmSCEr7PcfBBa6E2IHMZzdrlS217peh2odFhahvWSvSZ5an/z6Oev7r9ftrAjv7TWpNQhq9RtnQfhKzd4DoyF+OobOITTbLKydwcUR+/v7dzxV7z1MJrjFZVXTiMiJpn+bichpob/PROQ0eNh/l62vr3/o+57KSXgREflo3DoZ78ej20P2WuO2kN1C2/eYXI4SC9eLAuJZsNpoQTaxYH1n00Lhcs363ysN6yWfjG3iulyCwehmP3zv0KptSmUY9mCsEP49TSfAlJuVPrMDG6MpxNEskJ91vg8H4GZVNs7B5S4c7EN7DloL9vt/+3WrE6rW8fWmTcpXqtA9wJcTCEN8nsM7F/Hzi7hKFZu0D2E0oNjdtJqio0XAt3DO2W7Y8QhXVwgvIiIiIiIijxeF8CIi8oG5KLYw9EHqQZZXYeOyhb1FYZ/DEBptqzmZW7Q+8zAEMpu2r1QhKcE4heHEAuFyxabynbNJbe/s/kFoNStZhqpp7uXWk+EK644PAuuHzz0UI6v98d5eh17XeuPnF6FatdqavW3IUvtzqQzTEQxDe+0mYwgcPoqhUrNFvGUL9l0Q4MdDiMtWPZNUrHYmK3C1u9TGxSU76KNKGhEREREREXnMKIQXEZHjsbwG71yyifZ0CkHJLi8l1jE+v2jVNM5buFutwaBvYXulYhPU5ap1wRcezj8Hgy5cf8dqa8plq63Jc5uqL7S09f0VdkBkestZBOl09gdn9TVZahU0k4GdARHFQGBnM0SzwH48gWoDfM/qibY27CyH1tzs+qFNzef57fUySQW2tvDl5I6lvjj3vhVDPkvvPEPjPZbCioiIiIiIiDwKCuFFRORYhPUm+bkLcPGNWfVJbEGrcxbGPvWMBcA72zZ1ndQgqUOtZuF64W3KPR3b5S99CvZ3YXHZQtj9PfCZhfD1JuxsWQA86tt91Rn/AXk74OGtz508hVLFJuSjGKKSheulAwvky4l9bF61gyKLK1CK7UyFXociz6F7iK/U7aDKEQe+28HnqfXF5ymEs0n6KKIIojsCdsLojl0FLo7xRQHvsRRWRERERERE5FFQCC8iIsfn/HP2+c3XbIq9NWfhqs+t1qTWsFqZxVWggFrTAlvvrYc8nVpFSlK2JaGTkdXZnDlvE9vDoU3Adw6s7zxLYc+WfJJjlSul2L4HWE+6wvl78zlkuf3+gxDyoVXXOGwK/qhSKKnZwZS5OasLGnbhYge2rsHyWWi17faVGvQ7MOyR+tTaca5cgsMDWFy06fmoAgd78Na3IYzx5y7A+lNQDnFHAbsD8gJXqdwWsrsggHJii117HTzgVGcjIiIiIiIij5hCeBEROTZhGMIzHyNfWoUrb8E7l6GYQlyF5TNw/nnYuQ6dDsRlCJ2F7c5ZEFyuwNkLUKlDZx/6syB/NLJAN4wsqJ9fhCKFd67A0qotbp2MbAlptWqLSPMMRs565AksJI5DC52H/WP+TZ0g2cQ+D6Z2YMPnVheUVIAASCGpWjjf7dtCV+es4386gUEHKoktdi2XrEs+TynyjKLILLCvlO3+21t2cGY6tu8VhnDpDdjbgcUl/NyiHZjZ24K5xXtOuTvn8EkF+j28qmlERERERETkEVMILyIixy5stODj34v/2Cdu6/T2BwcWxIeB9cHfWk/SakNzjmC26LMol61yJowsWM9m4XCrBXlhHeVRyabim20YDWziejqBwcCmuKsNqM+C+HrTrstzOwAw7NlS0qMlry6yupsnmZ/17E+nNxfsusAOiPjAMvlSGXB2toIL7Hc9l9lr2unY7zgMIY7wV67Z8l0Ke4ydLTsAEsdQbdrBkii26xpN2N2yQL5ShUF/FrDf/Z82zjm8Az8e2VJhERERERERkUdEIbyIiJwYLootIJ1VhhSAK8/6wqt1m2K/133jGL+8Yn++R+WIX1q2JaHdDuxvwfKqTc0fHlotTbk8640fWOCLszB//8AqV8bjWWVNYV8HJXuWcQRpDn622BTHjbD+iTDr589SOwgyDezAhXd2QCWM4ODA6mUmI7h+zS4HwEGpTHawQ9E/tIMteDurYTKx1yLNoDa0KqJKwwL8g11YOwu9jh0EONjDb17F+8IOutTqdrClNYc7WvQal+z7qpJGREREREREHiGF8CIicnIFEb4orNv7/Xhvoevhwb3vU6nB6pnZktcqnDkL08wWuqYTq03Jc/s8GlgNynDWTR+GMB7ZRzaFbtcC92HfQt+4ZNm7x3rlp5OH/Ms44bIUCOz3NxxBOLapde/tYMVwZL9Plu332+9BFFpAn1Sson86hatv2z4AX9h0PQ7ixGqFfAHDgS167XctnJ9OrKbIYzU3c8sQYq9Lvwu9Lr7VxjdatshVnf8iIiIiIiLyiCmEFxGRk6tShUEPysn73zad4uYW8aUybG3gG607gnjnHL5cgfIInnsR12jhd7fgqQtQSiwc3rpmN+53rW+8nFjQOx7YxPXbb8Lhti2Qnc6mvLOxLXk9Co25j4MGp9LR9L+3xbeFt2n4sLAAvYtNyPc61sHfaEC9Df0eeefAwvfJ1F6HILTfexQBE7t9KbaDIUUG1cjOaOgd2EGScmIfccmeQlyygyS9g5tLY4ti1l0vIiIiIiIi8ugohBcRkRPLJRV8v4f3/p5LNwG89+Dt9lTreIDtTXzgLMh3gYXAo6EFw+vncEtrBEFAUWQ3K2+AIp1a3UmjadUogbPJ6/HQpuWTGM5cgHYXtq5bUHyILX4NQrtvUUAWWVj8xHL2OwebjgcY92FrCtWaheJZCrvblt3nhf1+88x65ANnX2dl8MNZAN+2+6W5vZa+mB0gGVu43u/aGQ5JxUL4MLSe/86evZ6dfXzj6Tueqc/S23YREEQ2Na8lriIiIiIiIvIQKIQXEZETy0Uxvt6AXseWbt4liPfeW0VMo2Wd8gArZyhac/jOARzsQz6FsASLK7j2AsGtk/XvrrxJKlZlklTt68HAJrNxsLszWxAaW+Ael6FchcnQuuaHPZik0DvEjgoEN4PoJ45/19ezrp5sCuPg5pJWn9vvM/dWORM4C9aDYPYQGbgQxhMIB1Ak9jjTiX1OMzvxIIos1D/Ys28XhXYAplK3AyhXr1h3f1KjiCKIInya2mLXfsfOaKg3cZWqfe9Bzw4A1Ru4WuM9DwKJiIiIiIiIvBeF8CIicqK5WsOy2H4P75h1rzvrGk+nFtQ2Wrha47b7BUnVgvSVM+/9Dd5VeePKCX7Qtz9XalZvM5lAZ9+C98DZgtBqDfb3rEKlVIZ6w6atxyOrrjkK9dP0Zs/8USAfxnZg4IlySyifZRa8+9lCV9zN30/ubRoeN6uQGc/qZELrgx8PICsgnn0dBvZYkyEEsQXxUQzlCuzu2mP62SLdp1+EnU18NrXXJZjV3tSb9vzGQ/xoaEtdS2WYjOHyW/hKBddo33M6XpP0IiIiIiIi8l4UwouIyInmnMPVm/ikcmfQWWvgkiou+vD/d/buyhsXRfhaHfpdfDnBhRFUI7xzsHYGWvMWEve6sLZuQfD+nk1c4y3UXVyFg92j7wBM7TmXEwuNCWCYcbND/bZnxJ1T5KdMkcHU2xQ82HT8HTwUR9dnQAbcsux2ApSmNsEex/Y5imE0toMk0+tWCxTF1u1fqdh0/M51ONyDxWU7iNNenE25OyiV8b6A7U0L6Ks1qFYhTe398a7peAA/6NkBojyz7zed2M9TeHw5gfklgtacJulFRERERESeYArhRUTkseCiGFePZ1PLD/dx311546o1i8EHfZu+jyIYjWBxye4URrB2zoJdsEn6zavWbz6Z2BR1GFldTVKZ9ZZPrDe+iCByd1bVRIkFvxS2APa0B/FHAfyDKAoL9It8doZEANGs5iabQLUOOPt9+hTe/o4F9nNL8Po37PrhAN9qz6qFKnaApcigcBBGuCDEu8wW/9bqVn/U69x4dXy3Y99/OLDjJ3GMi6oW5k+n8M7bFJM1guV1BfEiIiIiIiJPKIXwIiLyxLtb5Y2r1vBxCfo9m75PEiCESg3KCS4Mbj5AvYm/8DwkdQtek7IFs342iZ2mFtJmqYW86cSC/dxBOYbmPNQa0Dmw/vIgtIA5zyFPZ98ktEnurMCmwoUstQqavLhZUeTzWb98CkXXfv+9Q2gvWf97vWE1N4eHEO7C6jk7Q6GUwKADnUNotO13PZnYJHwU2+tSq+Ocs7MyDg+4caBkVmd0a8juXADlxN5D29cpyhXC9vyj/x2JiIiIiIjIsVMILyIiT7x7Vd64IILlVVxSpVhYgt0tXLV6rwexoP6574KdLZhbgYNN6PetwmY6huHQQvV0AgQ2XR+FsHLWguEwgMPAJqoDZ9ePx4C3yXo8RBmEFatoKXLIcgv008ndn9dpV8wOUoxHwGwKPgwAB0VsoXyWW8Ael+y6at1+78MBXHwdrl+BRgvCcPYaHMD8Enjw5bK9Bgc7FJvX7Loit7MbGi2YW4D5RShy/GRiz8MXNpWfVKBctpB/b8dqbNQRLyIiIiIi8sRRCC8iIjLzXpU3rjWH397EFwUuCO6882QyC+IrFvY+/SwMn4KLb9mEexTb5XFpVk8zhvllaM1ZGDydheiBs8luj4Xxrbbd1xc23R2G9j3SKXS7EE7suiCw6fnbnzWnvtbmNrOfP/ezMxAmFsJ77MBKPoXJyM4mKDKbnM9z+4ybHSDJ7KDG5Tft7ITlNfs19ntWV+OwgyP7Oxa4VypWb7OyDu15OxDjA7vucN8C+0oVygnFwtJDmYb3WUrR79njj3pAYN+jPU9QbyroFxEREREROWEUwouIiNyHIKmSL6/C1ga+0boziB+PLAgfDmD9rE1Czy/btPTeji37PNidLQOdg1IFllctPJ2msHsdrly0ha+lyIL2rGId5kFk4W9e2AR8GFiwXK9D2LLLhgMLh+PYJq8nIwvlnbPr77r89LTyN3/eDDuLYDqxj8DZAZNyYgcv8sK+3t+2DD+OZlVAmQX0b71uoXyzZdU0cWK981E4e21C2wfQ78DZCxbEF8WsGsfb4+xeByLwkD/3XR96Uav3nqLftffSqA+lEiQ1e29MxnD1MkW1BktrBPWGOuhFREREREROCIXwIiIi98ktrdlc+fYmPnAWoB8tWB10ISzB0oqF7+MhDPoWgq+egdWzFsp2O3Z5FMLKGdjfBT+xQH5xDQ72oLMHowFEJQuA4zL0OhYiH+5bkB8E1mMeRRCkNsVdb9r3CJ1NzI+G9tkFWLdKMOuYf/fE/ClW5PZxxM3OGBj27nGH2e8KD1EZwqlNzQ+6UArtNWnN2xkNeWpBfVyyEP7SWzB3YPU0YWgPF0VQadhBkcnogRa1+kEPtjYs2K83b79/UsGXEzsYtH0N787gHvISYxEREREREflwFMKLiIjcpyAIYOUMRWsO3zmAg32rOAlLsLAM7UWCSsVuXKvjywl+MrZgtMhson1x2QL3ydiWv0aRXT+ZWL95FFpoXK9bmJ+l1iUfhxbY1+rQ79r3CGMImQW9FTsoUHibjHYhXL1oE/LpxMLnKITIwWTKExXE38oXs+W293LLddlktgPXzc4qqMJ0BOmOTcWnqU3DN9tWfzPqW/g+GVk9TaVm903Hluv3uzaB//o3KbKMYGX9vqtjfJbi93bsYIz3MOjhb+mdd2F0Y2kskwn+cB+fVFRNIyIiIiIicgIohBcREfmAgqQKSdUm2WeKfhcGt09XuyjCRXULzm/hJ2NYXCG4y6Sy955i6xp8/c9n4fusXqbIod6yADmbWCjcbFutTZ7DZGihvPdQa1qgf/452Lpq0/V5AX5WTRPNlrzmHnz2UfyKTplZrcxkZJPwoz44b++BwluFUK1uv9t0bH8e9K2qBux9UUrsIExSsUB+4x0K73HteVztvatjvPcUe9s2Be8LO9hytANgNIThAF+rQVK1ID5wMJ3ixyPbcSAiIiIiIiLHSiG8iIjIQ+CSCr7fw3v/voEq3m5/18dxjmDlDEWewzuXbPI691AqW+i7sDQLX4+Wuc6+VzAPFBb0jnpQbUK5BNvXbaJ+NLBpe7DGlTCGctlC3KNJfXlv2WwxbuHtd1lKrG7IFzCche5pBtPxrMJmVkfUmp/VCs0C8XLZfueAP9jDD3q4ILx5tkSlirtlit0PerC7bd87TiyAh1klUWk2Gd+3yyo1+z5pZq+tKmlERERERESOnUJ4ERGRh8BFMb7egF7HakDuEsR77y18bbTesybEgvh1Cu/tgsn4ZkCbVHDlCi4K8VmGH4+gewjVOuxvwd4u1BtWOZNUoTVnU/EugLl5q6cpcguSwUJcPIzHFiaDBcZ5cUswH/DE1te8W5qBz+1jHFsfPDn4yC4LnIXgztkZCuUK5FsW2GdTO6sBLLR/89v25zzDL69BtWa3m06g37P3UzmBfs8Wxk64GcDfyjk7SDMY4EtlOxjgcygyivHwzuqkuXlca87O6BAREREREZGPnEJ4ERGRh8TVGra4td/DOyygdc4mldOp1ZA0Wrha4/0fK4px7XnrAJ9fvPt0fRjiwhCeeoag3sSff5aicwB7OzYNn6bWI5/n4Lbt60rdQvaJTWITxZAkkNStNmUyhDSHUgQ+tPuEoU3j4x/eL+txdXRgIs+h24VqAi6CdGSLWtMpdHv2+4vLEM0W9hY5XAvh4ttQq9iZCHEMS2t2gORgz8L3LAdyfLVhy14rNVwU2e1x9npkqR1MmY7toEAc21kPYckurzfAO/z+Hmxv2YGBShUXVvB5Brtb+O1N8uVV3NKa7ToQERERERGRj4xCeBERkYfEOYerN/FJxSbUR8ObE+y1Bi6pWqB6v4/3AUN95xxhex5fb9z4/j7L4OolWFqx6eu9HRgPLcgtCqsvKcUwndrS1h42SX30PKdTwFkPfTp9qL+vx18BwzG3nSUwDawbvptZU1A464GPIptiH/XgILIQf37BQvR8Yl3/ldkkfKVkZyKUyzDN8Ocu2ER998BejyCYfZ69TkUOgwGEEzuIUqzY9XkOy2u4W0J2F0ZQb+KLArY27P11y24DERERERERefgUwouIiDxkLoptIeYD9nF/2FD/1u+fV6qwdR0aLajVLCAOgLkFC26z1JaJOizQbc3P6k1iGI1tSns0tKnuIrdgV27xrpqe6eT2r7OpBeMABBbKh7OFrb1D2LxqNUDp1A6yRCWoV6EIwRW2APbqZVhbs281Gdtj1OsW2IexTcDjZ9/bw/4+TAbw7Eu3BfC3ckGAb7Rge5NC1TQiIiIiIiIfKYXwIiIiJ9yDhPphvUm+sgY7W9BqWxDfP7RJ6VLZpurzGChgcd1C+Tyzr723DwoLh8PQuuPTKeqI/zAK62U/Oo4xBYY9wNnBjjiFYmA1NOUEkhpEoXX+7+9CJbH6oHoDOw2ibwF+kkC1Ya/PYGCT8kF8R3+8z3NbKDsZ2QGV2SJZv7cDZ84/0t+EiIiIiIjIk0QhvIiIyGl37hkLbzc3LESvtyxo7/chnVi3eL0By+vWC9/Zt2DXBdCYs8n4YQ/GJes995FNeMtDMuvbn2ZAPpuCjyDv2msQBjdD9ukYdsdwuG8HZaoNyHr2usJsES/QblvgXq3aQuDRCEYDu00c2VkPvoC0gMtvUbTmcLXG3XcPiIiIiIiIyANRCC8iInLKuXoD1s/hl9fgjW/B3mxJa7sN1XOQlGEyhUHfKlFac9Zjvjjrkc+91Z8MBxAl0O/CeDCb4paHwt9yZkGRw3RkBz9cAKWS/a5HfUiqEJWh2pyF6BO7XTq1Ja8Ly3CwA/EqHO7hJyM7sDIaWse8x6qHgtDqbKLYKop6HbvqASuURERERERE5E4K4UVERE45l1Tw/R6uWsOfexrOP2uT07dORuOsiubwwHrH97chadvEdLlm/eWLqzDfg3fehkNvE9pZdvNx5OHJs5t/zjKrpXGzmpkCq5SZW4RaA6p1C+3j2F6vXhc2Lll/f71pr6lzMAztNpWadcmPh/bYcYQvJ7h+D59UcFF8XD+1iIiIiIjIqaQQXkRE5JRzUYyvN6A36xofDXDVKr5cvtkRnmeQ5XD2PLQW4OJrVnkS1qBIZ93w3qayF5Zgec16yju7FuoOevZY6op/+HwBGeBnZyskZdhP7bo8A5zVCeU5vP0m7O9YwD63aH3yvQObfHch1OqQF1DHznaYTiBIbFI+ivDjke0fEBERERERkYdGIbyIiMgTwNUaeLBgfTLBh5Et7kwSm7L2HmoNXLWGc45iYdnC9SCEN78FgYPxyKpqag2IQ2gvwt6mBbhFPlsuWoatazDoWkVKllvoW+SAv712Re6TBz/b5jruWy98FNlrkufW975fsooh5+0gyqgPnUPo92yhqwdIYacLlYZNzjfaVnNTq8PVy1ZXNJ3aYZTRED8dQ5rZ949LuFIZKlWcpuVFREREREQ+EIXwIiIiTwDnHK7exCcVijiG3S3rA48iqNZxSYIL7Z8F3s+Kw+stgvkFijyzqpqisMB9MoF8aj3xLNt09rBvtTalmnWO786WuE6nVnmSTS3QHQ+YJcLyYRWZLXHtdGzSPSxDs2aBfJzAcAzhbMHqaNYl7wKrogkcjMawU9gBmJV12NuFbAzb1yAu4595wbrnx0PsAAAwneKLYrbQt4evN7TIVURERERE5D4phBcREXmCuCgmWF7H1xo2Je2wZazOWciaTi10XVyxaWjvbVJ6MoXJ0Kbjo5JVngSZdY2XSnDhk3a/6+9YXU2lCtevQ6kMFLbUdTK1ie7J6Hh/CafFZDj7w9gOeMQR5Fh/f15Y6O6cVRCFkb0W49mi1iy3fwUe7kF7fnbfAhotu83yMqydxwUBMDswM+xbx3y1dt+LXH2W4sej2dkSGQSRpulFREREROSJoxBeRETkCXPrVPwdAWmtgUuqBFFEEUXWI59Ura6msnCzQ94vWFjbaFrgPgtrabRs6Wd70abg+10L7ldiWxja78K1qzZ5bc8GTcY/KG9nGOSzjv/cWy3NoGtXhyUIsU74fFYP5Gf9/nvbtlg3DOx1brTtNRoPoVTBL67Y+8U5fDmxsx7KCSQV/OE+eZbh0ukdATthhB/0bjvQ4+LYDvQMenhN04uIiIiIyBNEIbyIiMgTykWxLeG8xzTzzR75A5iMbSK+UrGO8WrNwnsPVKvWHT+d2JR8uWIh74ufmAXvHauiqVRh/RysnLFJ+o13rOLGeyAHH1hgW+Q2kS8fTDq55Ytbgu18ahPyNwQ2+V5kFrYXhd1+PLbXszlvIf4r/w88/QJ+cdkm6bMUJiP8oG+1Np0DqNbwrTmo1iEOcUcBuwPyAlep3BayuyCAcmKT9fc5TS8iIiIiIvK4UwgvIiIid3V7j3wEu9sW3oaxTczPLwMePxnfnKY/9zSUK7hmG8LAAtu9LZuaD2OrSNnagGbTloKmmf1rJPdWkZJlFgoHoS0aLbJj/i08rt7r7IJZ7RAOwtBqgkJvU/T9ni10XTtjB0PeuQT723Y2Q71p9zt40+5XbdgEfbhkVTXeW81RXLLlvHOL95xyd87hk4r1y6uaRkRERERETjmF8CIiIvKe3qtHHu9xUWQB7eoZqyrZ24EwmIX4Dau9GfShe2Dd8EfT8qvnbXp7PLLP01mYHwZWbxPFVmmTTgBvIX6eofqah8Xb7zPPIA+sTqZwVkezE9nZDukUJjUo9WzyPanYktfmvB0w2bput5tbsgWwr38TOvt2ACWOKc49C6trBLXGHd/dOYd34McjOyNDRERERETklFIILyIiIu/rfnrkXWT/rCjqDasaSayKxEURrtWGVtuuT1P41tcsZB/1YX+PoMgoplPodiGbWoibF5DUoEht0rqUWBDvvU1p9zvgi+P7pZwmRQHFUQVQBAc7Nzv/x0MoVYECai2oVuxAynRsFTavfRPKMUwzO9MhS6HZtvu9/nV4+9sUq2fg/PO4au3G+wSwgzmj4T0rkURERERERE4DhfAiIiJy396vRx5u6ZI/6ga/ZWqedIrz4JfWrM5k6zrUc8JGlbDbJ01ToGJBfFiyyeuDLZu6bjQgSiDAHstjtysy66OXhySzQH06sTMXSiWIQnsN4x2YW4DRyPYE5Bkc7NvZCgvL0JqDyRAO9mZnM0TQmrdamzTDn72Ar9UtjHfOHnNWOeSz9M4DPLNFr6qrERERERGRx5lCeBEREXmo7mdq3lNYYBsEUKS4IsO1WzbhDlaDUhSQJLYMtrYHo4lNVyeJdca32zDoWxgfj61XfjzALnCotuYhSMd2VsKtm133tiGIISlbyD4a2fXDPlyfheWtOVhYsTqhIAIcfOcbdvZCGOJLiS10rSQQROSDgVUd+QLy3Kbp0xTw+HIV1s7illcJ4tKj/x2IiIiIiIg8IIXwIiIi8pF4r6l5F8ZQCvFPPQPVOuHOBt4XMM0tsE8WYTyxAD6KbCJ+NLK+8TCAwXC2HLRuD1hetNz9YN8muENndTa+sCn6yejR/vCnSn77l0U+qwMaA84OiDggLYAxhBHkKSRVq7MZDGDYtdvslmBxBUYDKICNLhBC4OyjyMGFVj1ULlvfvM/hrW/jD3bIzz9PUG/cc+GriIiIiIjISaQQXkRERB69ShUGPYJyAmtnSNbPku9vMa41oXNoAaz3NhUdBLCyBtevQb1l1SjVuoW48WzyetC3gL5at9umqQXB5bJNVV+7amG887OQPrbr5QF5O2gSl+z36wv7OgXe/o69Hs0GxGU7I6LTsc+NFsQD6HWt87/RBCKrt2k27XG8t9vW6nb77U0YDCiWlnGNNj6OIcttkeyoBwT2vmrPE9SbqrAREREREZETQyG8iIiIPHIuqeD7Pbz3OOcI2m2II5umjsu29LNUtvqZw32oNeDpF2B7w8LY6cT6xJPEHrBWh7l5m5gvV6yvfG9r9s0Cq0/Z37Wp6uEEsrF1zk+n93yO8gGkd/k95in0DqDXsYMlpbJ9noygezhb/Nq2Bb2dy/a6xyXo7lvvfLkCtdli2HC2CHY4hGyKP9i3Cfvp2F77Uhko7ADOzhZFew5Wz2lqXkRERERETgSF8CIiIvLIuSjG1xvQ6+CTCs45wnoDN79oPfIHu9YRXmQwq6xhOrEwvtq06ydjWxraaMLKGZhfgMkUNq9ajcniqnWQdw6to9w5u306hc0Nm7qOSjZtr7qaj1Bhi1vTqVXUjIYwGtvl3X2IynZd0J9V2eR24GVhFXqHNhHfaM1qjby97oO+3SfP7X2xsGRhfFzYWRA7mzAZUZx/nqBS1cJXERERERE5VgrhRURE5Fi4WsNWp/Z7FpKWShCGuGoN4hg/t2iT0y7A+dyC+LVz8Invg8kIv30dBj0L5oPAwloczC1Z6BvH9phLq9Yfn1Rg4yosLNvEdV7AqAuHHSi83QdnE/keC3h9/p4/g3wQ3qbat3egXLLqmCKHYc+qbKIY6uXZgt0xbL5jr1u9Ya9ttQG4mxU2SR3KidUNdQ/t9Q1DqyCKY+h24O3vUCys4OII4hIujvFFAYOenYlRb+BqmpYXEREREZGPlkJ4ERERORbOOVy9aZPw1Qp+OKsXCSKoNQiSKi66xz9V4piinOD3d2BvxzrES2Wo1Gzqvd+zaem5JWi1cUGAf/oFeP3rcOltaM3DdGQT80EJyGAEuAgCbDlogNWgpGPoD7ljQal8CB6GHRgGFrTHkU22H3X/jwZ2ACSK7cyFILCJ917Put/nl22Ba57bQtjJyBa+ZrODNK22fZsgsJ0BW9ehPY+r1288AxcEUE7w3tuZGIC7y/JgERERERGRh0UhvIiIiBwrF8WEzTY02wRR+b7vF8QlWDmDX1i+vW7EBbC8ZkFultrl2RQXRPhPfj9c+Bi88W0L5J23Ceq1s9Dt2QMXALlNZJdi8HWopjYpn6UWBnuPpcXy4RQ2FT8quO336CoWvk+GkGZ2JkJShVICgw7sbNlBmmbTzl4IQgvls9RqaMLnoVaDorBO+jCwKfnW3B3PwDmHTyp2JoaqaURERERE5COkEF5EREQeay6KcfV41hn+bpU7L2+0KBYW8Y2G1aHsbFqge7BjtSje26T1eGjXlxILdXeu2bR8tW4B/2BoC14Vxn84d6v6SVP7XeO4cebBeGyT7VPsDAfnbNlrtw+thoXyobP6mbyAldVZRZGzeprh4J5PwTmHd+DHI3sPvfspZilFv2cd9aMeEFiNTnueoN5UcC8iIiIiIvdFIbyIiIg8cYKkSn72PGxft575MITFZdjdtMlrF9hU/f6e1dyMR1abUuxaSB+E0G4BTYgiu910fNw/1uOvyO52IQz7t3wdAiM4TGHchSSBOLEqomIKG1dsSWt70V6b9+t7j0t2tsQtB2u89xT9LmxvwqhvuwWSmh0bmIzh6mWKag2W1gjq6pQXEREREZH3dmpD+L29Pb7yla/w6quv0uv1mJub49Of/jQ/8RM/Qf2WXtAP4n/8j//Br/7qrwLwcz/3c3zmM595mE9ZREREHiE3v4Qf9KFzaF3k1Vmf/OGehfBhDO05SGf948vrEJVssjoKbGJ7OrGp+UYD+oF1lGsy/iOWwzQHJva6BbPX6mjRK9hrEkV2XaVO8fZ3oD0PS2uwuGILXfPMznbIMigyikoVN6ul8YMebG3YberN20P2pIIvJ3ZgZvsa3p1Rp7yIiIiIiLynUxnCb25u8sUvfpFOp8P3fd/3cebMGd58803+03/6T7zyyiv84i/+Io1G4wM95u7uLv/qX/0rkiRhPNakm4iIyOMuiEsUy2v4MICDfasyqdVtKetk9v/1YQD5EJI6JGUYdCEOYTi0CpS4DMEU0gTmSjCp2200Ff/oFAUUE1vgOp3YmQuFt+l15y2c7+7b0t1yyQ60LCzDwopN0VNA7vHbm/hSySbie10L4MvJXafcb/TJTyb4w/0bnfLFeIjvHMzeT1Nb7Ds3j2vNESTVR/+7ERERERGRE+FUhvC/8Ru/QafT4ad/+qd5+eWXb1z+W7/1W/z+7/8+v/M7v8PP/uzP3vfjee/5tV/7NRqNBt///d/P7/3e730UT1tEREQeMVezg/I+L2DQg1ob5gObjh70bbJ9fsHqTrLUpuWvXITR2AL7fApZDji7T7Vuy1zHs4n4ydgWjOIt1JWPkLfJ9vHQvnQBlMsW0qeZ9fh3pnDlTSgCaNZh9Slbyju3ADuz19EFFtZX6xa25xlMJvaa+sKuTyr22IGD6ZRiOLCp/O1Nu6xSxYUVu+/uFn57k3x5Fbe0RhAEx/pbEhERERGRR+/UhfBbW1u8+uqrLC0t8dnPfva26z73uc/xR3/0R/zxH/8xP/VTP0WSJPf1mH/wB3/AN77xDX7hF36Bb3zjGx/F0xYREZFj4JzD1ZsU5QS/vwN7Oxa0lsqwsATlMq4orGGm3sBXanDhHfiff2SLXEsJVEtQrkC/C9ORTVh7Z/3kvQPo921yPi7ZtLY8Gr6w4Hw8seDcz0J2CiCCyayK6OpFOP8cPPciVBuwcdHud+4Cvla3MySOuuXzHMY92N+1r1ttO/By7bK9to0W7paQ3YUR1Jv4ooCtDSsqWjlzHL8NERERERE5RqcuhD8KyT/1qU/dMWlUqVR48cUXefXVV3njjTf4xCc+8b6Pd/XqVb785S/z8ssv89JLLymEFxEROYWCuAQrZ/ALy/jxyBZ1FhngoNbAJVVcNPtn07kL5J/5q/Dmt2Djqk3QV2o2GT+3aBPXoz50D6yuptyB4NB65HMP0xQGB8f54z5hCgvkgZt9/RlkQDaA0Qh6HXjrO7B6DsqR1dHsbNgZEK22vbZRZAt8k5pNwgMc7NnBGO/g2RdvC+Bv5YIA32jB9iaFqmlERERERJ44py6E39jYAGBtbe2u16+urvLqq69y/fr19w3h8zznV3/1V1lcXORv/a2/9aGf0xe+8IW7Xv7Lv/zLACwuLn7ox5YnWzQLhPQeEpHH3eP295lvtcibDfynfwA/sdA+63dgOJrV1ORMv/0qaRRRkFswn2W22JUCdiMLfjNNxh8vbxPy46FNv4961hlfSqxeplyGw13L7pdWidfPEI6HUKSEzTY0Vsg2rhJEMXFSJignFJMx9PsU4wGkKcQRrlSGKManE4Kda8RrT+GqNYJKDRfHx/1LkIfocfu7TETkXvT3mYicBifp77JTF8IPh9YDWq3efcLo6PLBYPC+j/Vv/+2/5eLFi/ziL/4ipVLp4T1JEREReay5OMY129A5wNUbuEaTYGmFYtC3cN05ijNPETTaTGoNiquXbWK6CGxhaGvOusNHY0jHN2tqXGSX5+mx/nxPJm/VNcU+xLF9eG8VNIGDi6+TjvrwzPOEgSPf2oBGGz+eUKwvku9uUhztDpiMcWFIEUX4YR92tiGO8aUE9vbwZy9Av0ve6+CabYJ6864LYEVERERE5HQ4dSH8+/HeTkN+v//QefPNN/nd3/1d/tpf+2u88MILD/Q9jybe72V3d/eBHl+eXEdH8vQeEpHH3eP495n3Hp8VcP26VY3HJXAO7yLo92AwtCWtSQ2eegaWz8D+joXxkzHgoD1n/fPZFAYDSCcW+k78rA5HHq0CpmP7AHsdowhqLXuNN66Rjsekc/O2B+Dttyx0P9xlEpeg1rDKGjxMpjCdQJHbZD3FbMHv1CqO5hbttvv70GgR1Jv4LL29DimIbMlrUsFFmph/HDyOf5eJiNyN/j4TkdPgYf9dtr6+/qHve+pC+KNJ96OJ+HcbjUa33e5u8jznn//zf87a2hp/82/+zYf/JEVEROSxd7TU1SeV24JTF0SwvIpfWMSNR/jDA9jesEWeSysWxE8nVoHSOYRyApMJtOYtsB30ode3EHY4C+aDEHB2PcX7PDN5aLLU+t4HfQvMixT2Cnvtghii0F73QReSqr1WtYbtBmg07evJxO6flO0AS60Oezv4LINmGypV6HXJsww3Ht04oOPi2Ba6Dnr4fg9fb+BqDU3Mi4iIiIg8hk5dCH90ROL69et3vX5zcxO4d2c8wHg8vnH/v/23//Zdb/Prv/7r/Pqv/zo/9mM/xt/9u3/3AZ6xiIiIPM5cFOPqMdSbt13usxQ/mnXElytQScAFVnMynVjneBTbBHxcsuuyCaychfkRhGULb/e27D6dDowHUDgIAigK6zOXj1Y+tQ8AnC1yPVq622xDVkA6gn4f3Gzx62RqX0ehvcZFZgt8Dw7gqQsQRhbw72zan6cj8A6/esam3mcLXl0QQDmxMzl7HTzg3vU+ExERERGRk+/UhfAf//jHAXj11VcpioJg9h8xYFPwr732GqVSieeff/6ejxHHMT/8wz981+suXrzIxYsXefHFF1lfX3/gqhoRERE5nVwU4+sNONizHvhpaos+S4kt7AwiaC9YmO4c+AJG3upKogTiCOI5m4yu1qDZgoNdm6yeTGzRa1pgW0Pl0Zj9roscJiPoeOuL97OzE4IYsj2rsNm7Du1FqFQgzewAy3hkVTeHB/aanr0wO8sBex9sXMEXBb5Wh7nFWQ1NhHMOn1Sg37PPoNoaEREREZHHyKkL4VdXV/nUpz7Fq6++yh/+4R/y8ssv37juq1/9KpPJhB/5kR8hSRIAsixja2uLMAxZXV0FoFQq8ff//t+/6+N/9atf5eLFi/ylv/SX+MxnPvPR/0AiIiLy2HK1BgB+PIDr16zSJI4tdA9DC2RX1mCa2Z+bizZNHZeg17Ww99wFONyzfvnpBKp1C3EnY1scWuQW4Kqm5hHzNsF+mzGkZTtTIZvAcAhJxabm89xew8EA0qu2jPfyW5brR5G9Dy68AEkCWxtWWVOt4ecWoL1AEMcUePzetg3cO/AugCyHYRe2r+FdCAtLuPklgrh0DL8TERERERG5m1MXwgP8zM/8DF/84hf5zd/8Tb7+9a9z9uxZ3njjDb75zW+ytrbG5z//+Ru33d/f5+d//udZWlriS1/60jE+axERETltjnrjiwsv4MMYrl22ED6aBfG1htXSBJF1iGeZdcSXy1Zj056Hs0/D29+G3V273/aGLXQdD6A/sCnrKJr1j787FJZHLpvc/PNkdPM1icrgA5tcL8f2Oo+G1gkfxnDlLdi4YtPzq2fssjCCy2/DxlWK9pz100+G+OV16HesrojZQRsPUMDBNr65SH7uAkFrTh3yIiIiIiInwKkM4VdXV/mlX/olvvrVr/LKK6/wta99jbm5OV5++WV+8id/knq9ftxPUURERJ4gQVzCP/0CxfwS7O3AZGi94ZOxBe1gYXo5gXIJylVYWIQwxg16+EoVzjwF1Yp1iR8eQFKDeaDXswobF9j0/FHwG0aQZ8f6c8stspQbZyuMUzt7IQisO75ahnINahHsbdjr2ZqHg2078BJFNu0+HNqZD9ubNjFfb9p7aDiwWpt6A2otGHTg4usU6+cIltcVxIuIiIiIHDPnvVeR6DHb2Ng47qcgj6nFxUUAdnd3j/mZiIg8mCfp7zOfpTf6vP10YrUkOCjFuLg86/au4qLoxu2Lq5dt0j3L4epFm4B2WD1Nltl1SRVKFdjdhK//ufWUpxPIPXiF8SdSXLYwPoyhXreeeOdg2LODM/NLFs7vbcF4aK/p3BK05qDw9nWrbQdvAKZTqFYhLEGzaY974TnCowM98pF7kv4uE5HTTX+fichp8LD/LltfX//Q9z2Vk/AiIiIiJ5WLYlw9tinm+7394jIMerhyQhE4C2BHA7tBFNk0dK9jn+dX4OnnbCHsUa98nsN4DOQf3Q8mH1w6q67JUxgCoz6UK4CHw46d8RBEVjeTTqHZhm7XXusotPdQFNlrG4Q2WT8YQrsM3Y710V+9SFGr3+iIL8ZDfOcADvYhn1pgPzePa80RJNXj+k2IiIiIiJxqCuFFRERETjiXVPD9Ht57C12D0HrjJ7Me+DC0+hKH1dyUS7C3bRU1h7uwtwfdfVsKWqTH/ePI3YyHs89Tex2L3Cbcm22rspmMYD+31y8IgAK2rkOlZhPzK2s2NT8ZQ78LpQTSFK68iQ8i8rPnLbzf34XA2RkXYQWfZ7C7hd/eJF9exS2tEQTBMf4iREREREROH4XwIiIiIieci2J8vWEharkCowGuVLbqkapNL3vvLYBdaUKlAt7bpHOjBXPLcOk7FsyO+jDsH/NPJPfks9mSVW4G785DVkAc2oEVvNXWFPlsv8AYDvdhbsHqafodWFyFWg2qDegewKUJ7O/B8ipU6zd64l0YQb2JLwrY2sADfmH5RmUSRWbT+JUqLqngoviYfjEiIiIiIo8vhfAiIiIijwFXa1g2e3gAkzE+im4GsmlqwW29iavW8OWKdYp39qwXPB3Plr4mcBjAaARe1TSPhXx688/p7DULSxAAPoBpCnnPpuUHXdhOLHwvJVCtW1jf68DOdTsgc/0azM3jG03bMTAeWbe8C6z25uKbFOMhLqlCXMLFsQX0g56djVFv4GoNLXsVEREREfkAFMKLiIiIPAacc7h6E59UKOIIdrchjixkr9Zx5QouCgHwsV1GFFkIG8Vw7Yp1jzfbFrx2Dz7Ms+DmmLYcm3xq9f4usAC9wKblg8gW9eJhb9d2ASSJLWwFKM0WwV65aH3x9TpEJXtfZJm9LwZdKMXw9As3p+WDAMqJnW3R6+ABd587DURERERERCG8iIiIyGPFRTHB8jq+1oB+z3LxuATO2cRyOrXO8FbbJt97HUiq8OyLcP0K5N7C2Ti2+2ezjvEotjCXwgLZfNYdX04gqUE2sQDXBbYItMiO75cgxhf2ucghDyDElvZmOQw6MB5Ao2lnQtRakBeQZ1ZHNBlb4N6cg1oDIgfFwML5i2/gGy1YXLlt4t05h08q0O/hVU0jIiIiInLfFMKLiIiIPGZunYq/o7u71sC15+Fg35a3JhX8ZGxT8UUB07HVleTnbBp+Z+tmmHs0VX00GR04C2krNQt40xymEwtx+13A2XJYiuP7ZQhQQDqxML5UtvB92LEDKN0O1OrgytYVPx5ZUD/t2fXT2UEbnH0OSxbW727hSwmu1b7tOznn8A78eISrK4QXEREREbkfCuFFREREHlMuii0IvUs1SHG0yDWpENTqUKtTlErw+rehvWCLPGs1WH9qVk+zD+MJjIewvA7NFmxtWFA7vwSjAQwHdn17AfZ3Lfyf7kJcttqbyfgYfgtyQ57BaHaGQhhaoJ51bRlvZx92t6AUQeggaVhlUTqd7RkYQhBDFM6W+hawt42v1XHRu/6TIS7Za69KGhERERGR+6IQXkREROQUurHItd/DH1XWzC/D/BZ0ZlPSpRLUW1ZpMxkD3qpn4pJNxU8mtty1VLKp+lIZNkcwHUGzaYHuaGgT9kliVTV5biFultvjaUr+eOQ5DPo23V4Us0W8IcQhlKtQOrA6IlIoIsDb+8AFMDdvr31SwZfKcOap2xexOqc6IhERERGRD0AhvIiIiMgpdLfKGldk+LklWFqzCej9bauVCSKYW7DqmSiEXtcqZ555ATavwcGu3SZJ7DYU0O9D4uDZj1n9SRBZiDucTcyPhrN6m8LqT1JNyT9yPrcw/obcKoXS2aLWwwPbDeDczQMvWW5T8b1DOyAzHuLTCf78cwRBMHvc2RLYe33bLL2zJqlSxalHXkRERESeUArhRURERE6xd1fWFLUmDHq4cgJrZ/FZZp3x4+Fsit3B4jJE6zAYwNo5W/L5zjtWWROGUKrAxz4J558BAvjmn1lon2UWzk9HME0tzMVZKL+9YU9IlTUnR5HBZDbRPp1CHEEYQ69nr33o4HAXtjfhxU9QfOL7CBoNSKfWWPP2d+y6yQAKZ0tgk6qF/y6wPQRBYCF/r2Md8+05XK1x+2S9iIiIiMgppxBeRERE5Anikgq+38N7b9PyUYSLrDP+Vt57ayhZXLbp5U/+f+3yLMXvbkO5fCNILZ55Ad65YqHtamBh/HAEw65NTY9GUEpg0LNlr8PhbBo7h2lmS0XleB0F8m4KOAvOo5JNxrsAvva/YOMKxYufALwdbCkyaxtKJ/aaX3kb0pHVHi2vQVKxUN45GOxDnuK3SvgzFwgWVzQVLyIiIiJPDIXwIiIiIk8QF8X42dJWn1TuOpHsvbdlrY3WHUHpXe+/sAI42L4OaTabgg6gvWi18M3MFsDub0FvANOxVdyMhrYwNHXYDeXY+VmHv8cOkEwDC+IXluwgyv/9X23q/fzTFr4Phxa0l8tWORRGtgDWA0srsL9jC2JLkR2QGfRhOKKYjHELy5qKFxEREZEngkJ4ERERkSfMXZe2OmchaTq1ALXRwtUa93V/F5dgcQVfa1ro2j20yfpGC+YWcO0FXKlMsb0Bb30Ldrdtino6gmrdlsSmUwt7pxO0zPWEGfdhJ4Wd61ZZlCS2B6BatR0BkxF0DiEdQqkKlSpcvQSDLtRaUI6hvGD982Fsewh2t/Fpil9Zx8UxvnMAB/uQTy20n5vHteYIkupx//QiIiIiIg9MIbyIiIjIE+ZuS1tvLNCsNXBJFRfd+5+J97q/i2O48Nw97x8sr1OUErj85mxiHti8Dq4EIwdBCmEAaQpZiqbjT4LZAZHpLZVBg1ndULkMh/v2vpmO7bZRApUa+NTeF+0hLCxApQ5RbDsFKhXbDZBO4Ttfx0exBfSVKi6s4PMMdrfw25vky6u4pbWbS2FFRERERB5DCuFFREREnlDvXtr6Ud/fOUc4t0DunE3Kzy3afXc2bSHsZAxJCEVhtSaDvk1cF/mHen7yUfHgMxhnFr7HZdsHEMU2FT8aQhTCZGpLWrsHcHgAF5631zuc3W44gGuXbfmv9zAZ411gXfKVqtUabW3YoZiVM8f9Q4uIiIiIfGgK4UVERETkkXLpFBaW8UEAK+vWCz8ewd4ubG3A7jULaoPAwt1pZgFvOobpFNXVnCBFbhU1aWFnMhSFnVUBQGiBvPdWZbOzCeefhfXzNgW/dc1utr9jOwOC2O4/GlpAX6tZaL+9SaFqGhERERF5jCmEFxEREZFHa1Zd45OqVc8kVeuGb7RsAeibkdWdNIC0bcs/y4ktBp2MoD+w7nDvby4SleOTzapq7ngpcnvNjpb7Hmxb4P7Gt+y1rtTtjIh8Ft6XEqg3bAo+COxMCIDAWWe8QngREREReUwphBcRERGRRyuI8EWBKyf4Qc/C1VH/Zg1JHMPBrtWR7O3C4S7kBTz7MQveOwe2/HUytbqaPLcloHICecim9jEMISnBeGKLXCs1C+FLZTsIEwSwvQE4W/4axXaQpbUIoxF+YRl3FOiLiIiIiDxGFMKLiIiIyKNVqcKgZyF8rQH9rk1Fj4d2fbUKh4EFsY0muALCErTmLHR3zjrjx2PoAUkNhnWbuiayx8km7/UM5FjkVjsEMMEm4Ic9ey07e1Cq2OLWNLVAPqlYHU33EAgoJiNYXIW5BVy1hksquCjGZ+mdC4Yr1RvXi4iIiIgcN4XwIiIiIvJIuaSC7/fw3uOqNVu8OehBtWYT79OxBfUHe1CpwJlPwbBv3fG1hgX25QR2N6H1NMwtwOGhfX2wC64O/QwcVnNi30FOmtHsoEsQwWQC7NvX5Yq9F8LA3gOHu9BetF7561eh0cTXm/jS7CBNENjZEIGDqGST9dMJ9Hv4egNXa+CcO7YfU0REREREIbyIiIiIPFIuivH1BvQ6kFQIanV8OcFPxjbFHkcWtrfaUHjrCZ9bsMB167oF9kEAS6tWZxKVrLpkYdEe87WvQ1a1afgotoA2T4/7x5Z7KTKYHC1zdTAZ22LW8qwjHj9b/jqxyfjRCNIM+odWV9Seh6eehoUViAp7D3nw1Rp0O/ao9eZx/XQiIiIiIgrhRUREROTRc7WGzaf3e3gHxCVctWYT8OnUhtfXz+HD0OpIDvatpubp5+02pbJVmERlm4CejOHaJasryT3s78L2NZu2jiJwFVvqmimMP9lmZy0c9cgPuhCEUGnY+6CcQBhDOYZ6C+aXIB3DxjWrsak17SAOwN421Or40ZAiigi02FVEREREjolCeBERERF55JxzuHoTn1Tu7POuNXBJFRfN/qlaqcHKmTseoygnEIa4ILj59e4WrKzBwhKsrML+jnXOj0cW3OeZBbuFw8alC4jLNlk/GT7C34DctyKHwaH9OYzt7IbAQbQDuzs2LV/uQmcXGvNQLtlllZotgM0yvINieU3VNCIiIiJyLBTCi4iIiMixcVGMq8dWM/JBzRa8Uk7s64Vl+9w9tDqT1hzEMTRb0O9ZGI8H722qvpTY4LUvbEK+w2xxqDrkT6w8vVktFER2BkT3AOKSVRPVO7By1pa9Vmp2VkWvA2mKHw7w1Squ0X7fxa1a9ioiIiIiD5NCeBERERF5LN224NU5gllPfFFK4Fuv2AR1tQqlGKoNWD0DLoTsVauoKZUtpK03rMqkVLYKk/HIQtx0ctw/oryXIoNpZktYwxCyDMYTC86rNZhfhkbdLisnsP4UZCk+qeGKnr133rW41XuPH/TsoM1RTVIc44sCBne/j4iIiIjI+1EILyIiIiKPpVsXvPqkciMUDVptiudehJ1NW/CaZ1CpWyd8EFh4+85bUCrB4hJU63abKILR2Cbl04lVn2ih62PA2+vXP7SlrKMBBLtw5SK4AGIH9TbsbMDSOkxG+LNP22R7r4Pn5uJWP+jhD/YtgJ+MocjwQQRJBTerP+Jd9xEREREReT8PHML/7//9v/mjP/ojer0eCwsLvPTSS/zAD/wA7Xb7xm3SNOXrX/86w+GQ+fl5nn/+eeJYp3GKiIiIyIO524JXnIO5RZhOYXfbpqJLJaudGfRgYRU23oFyBUoVyHNb/jm/ZGHudB6uX7Pbgk3P+/wYf0q5b0cLXY+EJchj8F0oCugN7GyH4QDOP48vleDK2+Sttr3O+9tWPRNgt59M7KBNXuBLCcwtQKOJ6/fswM99VtPcb72NanBERERETifnvf/QpZd/+qd/yj/7Z//sjsvjOOZzn/scP/7jP87m5ib/5J/8E3Z2dm5cXy6X+YEf+AE+97nP3RbWP6k2NjaO+ynIY2pxcRGA3d3dY34mIiIPRn+fyYO6V3jpnbMu+IN9m4Qf9GFxGXauw9tvQqViE/BhaA+0fd3C904HOgd2XRxZeDvo2G2iyKpP1B1/8gWhLXKNy3YQptGEpGo7CFZWYW7JlvdOJzAa2RR9rW4fzTnbK9Bo2WuepjAdw+IKNFq4epOg3rztvTfXauCCiP3xBJdUIIzurLcJAqu3Saf2Fqo37GyMYf99b6caHBF5VPRvMxE5DR7232Xr6+sf+r4PNAn/B3/wBwC89NJLfPazn6XX6/E//+f/5Nvf/jZf/vKXAfja177Gzs4OzjlWV1fp9Xr0+33+23/7b/zJn/wJ/+gf/SOeffbZB3kaIiIiIvKEe88Fr7UGrJwBoOh3rU5kbtGm5t9+3SbmSyW7bVKFwcC6xBeWLcQtlayWZnMLhh2bnO/3bFraAbm3xa6+eGQ/r9ynIodpblPtYQCdQ5tu39qAt79jQXt7zqbgh107E+JwH8plWFu317R3CK15qLdsV8DF12FhGV9rkM8tQJrh4gjiEkFSxRf5zf74PIdRH3B2NkUQ2QR9OcGVE7z39n4c9HBFYbU3t4TsLgjg1tuhGhwRERGRx9EDTcL/zM/8DP1+n3/xL/4FrVbrxuX//b//d379138dgKIoqNVq/ON//I+5cOEC3nu+/e1v85WvfIXXXnuNubk5fuVXfoVarfbgP81jSpPw8mFpOkFETgv9fSaPyrsXb/rhEDav2sdkbB3i7UV4+gXrGN+4AuMBZDkcHMDhDhBYbUlRzEL4HOIaVGLIJpB565XPM+h1Aa+A/qRyoU3HB6GdDeGC2eR5BgXQnrfJ9yiGVttqjvJZNVE0u31Usmn2cplmq42LIjqjkT3O5jW7T3sO5wK8L2yi3gO1Oq5aw2eZ3W71DMF7VHZ672EywS0uq5pGRD5y+reZiJwGp2YSfjgcUq1WbwvgAf6v/+v/4u233+YP//APAfirf/WvcuHCBQCcc7z00kv8wi/8Ar/8y7/MK6+8wn/5L/+Fv/E3/saDPBURERERkfflnMPVm/ikgh+PcEEIzzwPz33XrHu7ih8Pbeq4WoHAQb9vE9UrZ2yC+toVqDUtTK1a5QgENvEcJVCvgvO22LU1tMtHA1v6WmTH/SuQW/kc+h3wzoLxOJztFQjs7IatDdjbscvKZWjMQa1i4b0LYH7BwvY8g7kF0qeeIXAODg+sAimd2vT9yjo+qUBSsccJQuh3bxYaBc4qcd4jhHfO2dMcj+ysDxERERF5bDxQCF+v1+l2u4xGIyqVym3Xffazn70Rwn/P93zPHfcNgoC/83f+Dq+88gp/+qd/qhBeRERERB6Z96uv8WBT7I22TbUPB7bwdXHFPu9twva2Lf5sNKHdhtzN6moym5yPIyiVLehdOQN7u3C4a5PUWaZlrydFcctZCumsusYFdpaDx8L4dDI7kDK0oNx7mF+EWhXSDEoxbF0ncx6XNK1nnsIW/476sLcFy+v22MMB1Gq2GHjQt8eqVGE8si769xKX7DmokkZERETksfJAIfyzzz7L1772Nf7rf/2v/PiP//ht162trdm0hvesrKzc9f5nz54ljmPVsYiIiIjIiXH7tHwTX61bNU2vD9UCltcg+BRcvWILXmsNC1IDZ73jN8J3YHfLak7mlyx0rVThYBvGYwvqi9mHlryeHPldzlaIYgvbw8zOfJiM4fqG1RrV6hbUxyUyPG4us+DdOQvLS7EtfR307YBNObE/gz3WaAjlOQv6349zOptCRERE5DH0QCH8X/krf4Wvfe1rfOUrXwHgx37sx4gie8ggCPjZn/1ZvvOd71CtVu96/6OlQ+Px+EGehoiIiIjIQ3f7tPzZO67Pn/8L8Oa34NKbVj9TacK8s0Wv6QSmqdXcTEawdQ3m5qDRsIWfoxHs7kA6xkauC8gKqy8Z9uyznBxZap/HA3s9fQGEMB7aZHupBFGEL3J8p2Ov83hk96k2LNjPc7ttXLKDNEcLgLsde/w8pwhCSKq2uDW6y3+qeQ/BA/0nnIiIiIgcgwf6F9z3fu/38qM/+qP85//8n/nyl7/Mv/t3/45PfvKTPPfcczz99NN8//d/Pz/8wz98z/u/9tprpGlKs6nTKUVERETk8RKWE/j495Kffw62r8P2JqQjC1lbc7C8imu28YWHd96Gq5et93u+CkEA5y7AcGhhbWvOQtlsapPymxuwv28LQuVkubFkN7cTGAYDqxcKAjvDAQ/DFkSRTc+vhvZ547KF89MJNOdsmn40hDy1y9qLdrvdS/heBx/FNmXfnodGmyBJ7OBMrXGMP7yIiIiIfBgPPEbx0z/90zz11FP8m3/zbzg4OOBP/uRP+JM/+ZMb1y8sLHDhwgWefvrpGx8LCwtsb2/za7/2awB87GMfe9CnISIiIiJyLMJ606bln7n5b1qfpfjxCEZDXJHB2Qv49XM29bx9HbZndYzLa9YtXq1Zdc31qxbslhKbrj48tGlrX9z1e8sJ4DMY33KwpJTY4tVqAt0uDPtQqVh4nhcwnkK/azsHcNYPXxR2WZ7b/ZOKXZbnsL8Le9sUC0tQaxEklXs+FRERERE5mR7KuYyf+cxn+Mt/+S/zzW9+k29961u8/fbbXLp0icPDQ/b29tjb2+PP/uzPbty+Xq8zmUxI0xTnHD/4gz/4MJ6GiIiIiMiJcM/Frytn4PmXKLau4sq3h6lFewGqdTg8gMMdqzHZvgZbWzYh7wGfzqat5cSajq2SqGjOKmj8bLHr0CbZ88L2BEShHVwJz9gi2Iuv2yLg+SUL4cPIJuRbc/a4196Bp2JcFB/rjyciIiIiH5zz3n9kW6C63S4XL17k4sWLXLp0iUuXLrG5ucndvmW5XObcuXNcuHCB8+fPc+HCBV544YWP6qmdKFpMKx/W4uIiALu7u8f8TEREHoz+PpMnTbGzCWGIC4LbLx/04XDfKmp2NqFzAPs71ikeJ1ZV0+tCvw+jnnWEy8kWxhDHNh0fAJMUQmeXB6GdDbGwCLWmHWwBWFqzGprJEHJvVTelkr3eL36SoD0PcONsC4rMuuIrVVxSUVAvIg9M/zYTkdPgYf9dtr6+/qHv+5GG8HczmUy4fPnyjXD+8uXLXLlyhSy7ve/SOce//tf/+lE+tWOjEF4+LP3DSEROC/19Jk+aot+FQQ9XTm673HuPHw5g0LMp6kEPLn7H+uGbbZuijkIL6a9esh76Ue9YfgZ5QEFkvfFhBOUEzjxlZ0o4bAJ+acXeA1HJLo8jODiActlCebzVGDXauMpsz0A6O2Oi3sDVGjjnjvmHFJHHlf5tJiKnwUkK4R9KHc0HUS6XeeGFF26bci+KgqtXr3Lp0qXbpuZFRERERE4jl1Tw/R7e+9uCUuccrlbHlxP8ZGwT1M++BAv7FsxmmS3ybLStpmRl0ybmBwOrQEknkKYwzYD02H4+uR/ePkaj2UcfNq7C3AIUHva2YW7J3gNRbIH9dGKvd71qS1xntTY+m4X1lYp1ylcS/Oo5wsWV27/jLbsKND0vIiIi8ug88hD+boIg4KmnnuKpp57ih37oh4776YiIiIiIfKRcFOPrDeh18EnljollF0UQ1my6efWs1TlubVgI2+vcXNyZJDAcQZbapHTYsK/HQ5iMAQepOuRPpCKHqQdmS3cnub1mg+4sUE9gMrFAfnPDJuSj2LL7Z563P3cOIMvB59YrX63ZB8C1q+QvfgJ37mmcc/hBD/o9e5y4hItjfFHAoGcHhDQ9LyIiIvKROREhvIiIiIjIk8bVGniAfg8/C0Zxznq/j2pFGi0LRgHvHP7wwELZ3qFNSC+vQ6kCl1+HQR+CEpT3YJjYpPN4DGnZwt10Cjibns41JX8yFHdeNB3bx7Brr2lSsffCUTaeZTA4gHLddgU0GljZPBbaAzRadofX/g8+z/BLq7h+F951wMcFAZQTO8jT69i3efcy4QegyXsRERERoxBeREREROQYOOdw9SY+qdwZVNYauKRqE/FHt5/dtmi1raqk34MwgKVVOP8MXH4TNt6xy+qZ1ZdEMYwGsL9rk/PjkQW3PoduHwqF8SfaeGgfQWST83irm9negmLTXuO9Eiws2QT8KLOzI7IU5pfsz5fegukIVs5CnlNMxvaYeW4HZJKqBfsHu/Dq/0ueVOyy5VVYXiP8EKG8916T9yIiIiK3UAgvIiIiInKMXBTj6jHcR9jpopiw0YJG6/Yp43IJ/9J3w3MvwcEebFyyJa4OmF+2WpuNd6C7b3U2nQ6EJZucznLIxhbcyslUZDf/PB1baB6GduZEmEHvwEJ67yGbwtwK7G5De94WuW5v4SsNGPZtd0CeAd7eIwevw/42VBtQq0OtYct/Ny7DO5fIz12A888RhuF9P10/6N2oTXqUk/ciIiIiJ5VCeBERERGRx9A9w/vzz1I896KFnFFsPfLDgQW0RQ44qDUtrO/3LMSfBlZzA5BPbbHrrcGvnCzF7PVJp1Y31OvC9rbtBQgimNuFpAaVGiwvQ+ah37XXOM/sbIlKDXp96Oxa8E5hof50DJU5aC/YtPyVt+17PvOx+3pqPkvtfXWXXQdHnHP4pGJVTKqmERERkSeAQngRERERkVPmqG/e9XtWWbKwBIvL+AvPwvVrcO2KdcqHEdRqUE6AEEY96PcBD6O+TUqnqQW36dQulxPE3754dzI7cDLqQxhbN/zhIUQe+oewuGwHbaIyDDrwztuQ1IE+HIxt+W+tYRVHUQmiAIIQ3nyNfH6JsD3//s9oPALH+9bMOOfwzm7v6grhRURE5HRTCC8iIiIicsrcq2/eRSV44eO4T34awpBiawO+/qcwHFp9SLMB4RYMuhbMZwWUylZ/Murb5yI/7h9P7kee2vT7sA9xGdpLEMQwmdpE/GEXRiMY9IAAqnWrJBqNbHdAXLLQvjlndUWvf4vipU/iwxC6h3Cwb2dNhCWYm8e15giSqr3X4tL9Pce4ZLdXJY2IiIiccgrhRUREREROqffrmw9W1iny74Z3Llp3+OEBLK9BtwadPasjSSpACIc7FtaXSzAZzybmi0f548gHlU3tc5rCO5dsIWtSscqZvT1b1lsqWQ1NNgUctOah3rBdAZvX7D5xCV7/On7nmj3W4jIsLOPqLXyewe4W/vpV8mbbQvVSjA8iq6QpJwD4uy2ELZVxqj0SERGRJ4BCeBERERGRJ5RzzoJ47+HMeTjct8noMLQakt1tC9xHAyjHcPWyTVSXS9A5sGnrbtc65xXIn1w+h/0t6Ozbkt4wtAWtlQQmswWvOKhUIepAt2I1NXkOF9+A9iKM+/Z1nkG/A9fewa+dg/Wz1kOfjeDqRQv5q2u2FHjQw+9u2XOoVCEu4aIYXxQ2od/r4JMq3vv3ra8REREReZwphBcREREReYK5KMa1562O5ux5yPPZ1PIIohDGY+sW//j3wrdegcuvgwugXodeD9pz1iOejaE3sAlqNN18IuUp5EA6+3rQtwA9cLYfwHv7PBpBt2PvgQDYfMeOsbQXbHI+Ltl74NIbsL8zq61pQ2kB9nag1rMp+SKf7RIASgmuHADgggBKZXuf5Sl+0MOpkkZEREROMYXwIiIiIiJPuKNFrvR7tlSzUoVqDd+eh86hTcfX6vDpH4BqFd65bJPOdW8h7nBoE9WJBze7LJ1YID8doYWuJ1iRWcCeeZuI7x7apLwH4hAGQwvj55atvsbns1qbmr3OG1fsrImkMvtIoNvFJ1UYDGZLf4HRAF8u48IQAO894KA5hz/cJ88yXDrFT8eQZoC3yflSGSpVXFLBRVrgKiIiIo+nUxvC7+3t8ZWvfIVXX32VXq/H3Nwcn/70p/mJn/gJ6vX6fT3Gb//2b/P2229z/fp1ut0upVKJpaUlPv3pT/OjP/qjNBqNj/inEBERERH56N1zkWsQwfIqxOcgTfG9Dpx/DhbXrCP+cB+ms7C9UoVe1xa4emB3C9IxDB34DApnVSbqAD+hMhjPXpujxaxJYhU00zEMe/DWt6FcgUoNOwoD+AJ2NmyKvt2290L3wOqKghBqNSjNgvjJBKpWP8NkDLWmvX8O92EyxpfKVn2Et/fQdGrVNXkG/R6+3sDVGqquERERkceO8zaCcKpsbm7yxS9+kU6nw/d93/dx5swZ3nzzTb75zW+yvr7OL/7iL95XgP75z3+eZ555hjNnztBqtZhMJrzxxhu89dZbzM3N8U//6T9lcXHxgZ/vxsbGAz+GPJmO3n+7u7vH/ExERB6M/j4TeXwU/a51eUexBamHu7CzbdPLzsH2VQtbw8gC1b1dC97HI5iMYDSxJaBFwc0J+VP3nySnT1SCSsVqaJKKTbgHEUSBVdysrsD8ki1cHQ3toEw2hbItYAUgLsPSMuDs/pMRHOxaWD8ZQb0FjeaNifcbYX29iavW7D3UaBGoukbkI6d/m4nIafCw/y5bX1//0Pc9lZPwv/Ebv0Gn0+Gnf/qnefnll29c/lu/9Vv8/u//Pr/zO7/Dz/7sz77v4/zWb/0WpVLpjst/53d+h9/93d/l3//7f8/f+3t/76E+dxERERGRk+yousb1exDHsH4ev7AKm1dtYjpfsYn4Ss2moMcD2N6CnetWbROVoFSBagJpbl3y47FV4UzHx/3jyb1kU+il9poXhfXLZ4V1xJfKMBjBdAPWztm0fL1hS2CHA5tkjyIYHgLLdv2wZ9PylapN0Xf2oVKHwwN8rQZJFeccvpxYd305sfC/38OrmkZEREQeM6cuhN/a2uLVV19laWmJz372s7dd97nPfY4/+qM/4o//+I/5qZ/6KZIkec/HulsAD/AX/+Jf5Hd/93e5fv36Q3veIiIiIiKPg7tV17gA/NyiBbNPvzibgN+yYD0qW03J/JIFrdW6BbKTCUwG0OlYsDsZw+Y1mEytl9yrtubk8bZoNZ1CWoMihbRsOwGyCcwvw9W3oTEHvUObcC+XLYxfXIF6E/pde1+MR9Ytn2eQzc6iKJctkB/07dtVahbEO/CTMUGtbn8ej3B1hfAiIiLy+Dh1Ifw3vvENAD71qU8RBMFt11UqFV588UVeffVV3njjDT7xiU98qO/xZ3/2ZwCcP3/+wZ6siIiIiMhjykWxBaGzahDvPX7Qs4A1SfBnn7a+79EQuvsW1C4twzS1wLbWhFEFwtgWeIYBnHvabh9GsL+FampOsMnAPqdT+zzo2gGVuSWIE1vumo9tUW8BXH/HeuYHfWi0rEs+jKyGZn8fkrJN1Dfas8n6Ab5UxoWRHaQZj2w5cFyy94gqaUREROQxcupC+KN+9bW1tbtev7q6yquvvsr169fvO4T/j//xPzIejxkOh7z99tu89tprnD9/nr/+1//6fd3/C1/4wl0v/+Vf/mWAh9IrL0+mKLL/Ces9JCKPO/19JnJKLC3h05RiNMAPB/ij5a6VT0BR4DuH5DubZNkEv7dHUY6BAioVikYL5wv8wT7TwEEpmi0EHUKW2oecYN4m2w927MtzZwnKNdxggA8D2O8RtOdxlQqBLyiGA5iMKdIpRX8Ac22Cq5eJmoeE6+cIalWCJCGs1fFZRtE9IMym+DzDZylxKSKo1HCxJuJFPgr6t5mInAYn6e+yUxfCD4dDAKrV6l2vP7p8MBjc92P+3u/9Hp1O58bX3/3d380/+Af/gGZT0xciIiIiIrdycUwYt6HZvuM6X2/iSzHR5gZ+OcZPxviVdXyWEfQOocih0ca1WhSNeYq9TfJvfQ12diDPrTs+T+12cjKNh7C/DeMBxcKSTcSnE3ABxeG+HUyZTKyWKEkgLuFC7AyJNGPS6xB1OwTtFuHCKsXKOm4yxBUe3w5xUQguwPe75L0OrtkmqDdxzh33Ty4iIiJyT6cuhH8/3tsprR/kH2n/8l/+SwAODw95/fXX+fKXv8wXvvAFvvCFL/DMM8+87/2PJt7vRdvG5cPSxnoROS3095nIk8PHFfz8si3YLFdtyedkBPW21YzgYfUp641/6hn4+KfhjW/AN/4cdjZh2IfCASmMU0CB/IkzGdnH4QEkVYgD64WfZhbSewfRHoQOgtgm5V1AXq1AUCZr9uyAy8EB7GxBewHmFnHdLn5qAX4wHNl/2+3vQ6NFoHoakYdK/zYTkdPgYf9dtr6+/qHve+pC+KNJ96OJ+HcbjUa33e6DaLfbfP/3fz9PP/00//Af/kO+9KUv8Su/8isf/smKiIiIiDxhbl3symyxK6UYgggqVVxSBTx+dxvKZVzNwff/IMWz3wWvvQpvvQ79Awtp+wPrJI8cjKaQT477x5Nb+RxGPRjNvnahhfEOSMeQAozs8rhk15WAw217X5QTGI1hbxfW+vj2gt2u0baHc44iimH7Onmviwu45X1UwUWqqhEREZGT4dSF8EdHJK5fv37X6zc3N4F7d8bfj6WlJc6ePculS5fodruqpRERERER+YDevdj13Xy9Ab0OPqlYcD+/gH/h47bMs7ML46kF8MM+dHu2GHTQsWnrfPqIfxq5Lz63WqG7XT4dWc1QrQF5ZgdZwpK9lvNLsLsNwwEsrUFnnyJr2H2HA6u7iUu4RhNfFPjOAX77OgQhJGVcGCuYFxERkWN16kL4j3/84wC8+uqrFEVBEAQ3rhuNRrz22muUSiWef/75B/o+BwcHALc9voiIiIiIPByu1sCD1dY4bAK6vQBrZwEPxb5NUFer0JyzJa77OxbkjgbQ70Oaw+T+d0HJMcum0DkAF4AvrDM+ioAASgnU63awJSnZwl7n7T0RxzAd430DPxrCoI+9RyZ2XSmEQQ/f7+HrDVytoQ55EREReaROXQi/urrKpz71KV599VX+8A//kJdffvnGdV/96leZTCb8yI/8CEmSAJBlGVtbW4RhyOrq6o3bXrt2jVqtRrvdvu3xi6LgK1/5Cp1Oh4997GPU6/VH8nOJiIiIiDxJbq2t8bPaGldk+NY8hAGsPWVLWg8PoMjAY4HscAiDQ/vcmoN3rtjX0xQmd6+slJOksAAebGp+OoaeA3fdXufzz8PmVYgSW/o6HkFeQDbFdw5hOoVmywL8wMJ3ygmunFiHfK+DB9x7dMj7LL3xnqPIVHEjIiIiD+zUhfAAP/MzP8MXv/hFfvM3f5Ovf/3rnD17ljfeeINvfvObrK2t8fnPf/7Gbff39/n5n/95lpaW+NKXvnTj8ldeeYXf/u3f5ru+67tYWVmh0WhweHjIt7/9bba2tmi32/zcz/3ccfx4IiIiIiJPjHfX1njvKfo92LluVSQrZwBvYWwU2SR1rQ5zi7NO8hHEkU3EDyKbpJbHQzqBnodqZr3/V4b2mh91yy8uQLcMlZr1zGe5TcuPhvZRq0EQ4idjXFTHOWe7CPo9qzl6V6DuvccPetDv2ePFJVwc44tCk/QiIiLyQE5lCL+6usov/dIv8dWvfpVXXnmFr33ta8zNzfHyyy/zkz/5k/c1vf6JT3yCz3zmM3znO9/h8uXLDAYDyuUy6+vr/OAP/iA/9mM/pil4EREREZFHzDlH2GjiKxWKfhcO9y1wrVagPW994r1ZiJrncP5ZuPi6fV2uWWCbTyErYNS32xxNXsvJk02hO4XuIUQx7GzYwtYogr05qDegXLYu+flFiEKohVCuWC1NpQrjoR2Ywd4/3oEfj+zgzi38oAe9Dsz2EBxxQQAfYJJeRERE5N2c994f95N40m1sbBz3U5DH1OLiIgC7u7vH/ExERB6M/j4TkYel6Hfxl9+0DvEsg84evP5NC+cHAwtv+z0LaIddGE1swWsUWlhLYH/O0uP+UeT9hDE0WpBU7GBKHMHyKqw8BUvLFsDjodHCLa3hJ2N7jbPUpuYXl6EocIGz4zCjge0YyAs7s+Koiiap4MoJLoosiJ9McIvLqqaRU03/NhOR0+Bh/122vr7+oe97KifhRURERETkyeRqDfziCuxs2YT06hlb1rpxFRpNC9/jsvXH9w5h6yoMcygKaM6WfDqsCmU0sk5yOZnyFA53Ia5ANYGRh4M9uHIJVteh2rBwPnT4RgtKZWgvQqNhOwKyDMZDfL8H16/Cwe5s2eui7RxoNGz/QOHxpTK+vYBrtuAek/QiIiIi96IQXkRERERETg3nHMHCMkU6m2SfjGF+2cLY/T1YrFlVSZZBumoLPIcDGI4sfB/1bclrpQrNNngHh3t2myI7xp9M7ikdQWd08+vRAPZ3bELeO6hV4alnrbpmb9vqi+IEGm2YjOw9UmRQeKu/ees1uPI2LK1YndHcEvS7sHXVFgPPvs6zDJdOtbxVRERE3pdCeBEREREROVVcFOPa89bvPb9o/d6rZygGfdjdgt0dcKkFsR//Xlhah8tvwLVLFraOR9Yf7zOYTKzypNmyyfhhzwL9LMPSejmZ/KxeCFvKu78HlYodXKk1oTiAa5dt0j2K7HWuNyAI7TaToZ09sbMNcwuwvAKteVv8693sTIkhvjWPqzfAey1vFRERkXtSCC8iIiIiIqeOqzUsIu/38A6IS7hqDc49bRU1Hqg38MOBdX235yxs39uG7WtwcHizY9xFkI4tfO/3rE980IPOvoXxvrAQ1jmrSJETqLAJ+cnUAvkotj0BpRKUS5BaNQ2lxBa/hiH43ML5fheS8o2Hod+Dc89AvQmjAT4ICGp1LW8VERGRe1IILyIiIiIip45zDldv4pMKfjyyCpKj2pBaA5dUcVFEATDoEVQqFBees6nn516C7j7s7UCvawF7XIJmE1ptKFdhZxO+9ecwHlsQP5kAs0qTwlvFifrkT55idpAkm9jnydheuyCANLXdAOOR9cd7b0t6u6kdkBkNISrPeuPnYWHJbjfo4WeLW51z9p47PCDPUlyaqq5GREREFMKLiIiIiMjp5aLYFmjeYyrZJRWrEPEeV63Z9PygBwvLsHLGptu9h+4hHO7D+edwrTY89yJ+aQUuvQ4+gGGPMEvJPTYxX6tbdcm1d6zWZjq1Khs5Ybx9FIVNuRe5VdRMxlZLUypZSL913abn48hqabY2oFqDeguyFD8Z48uJhfne2w6B6QTac7g4xheF6mpERESeYArhRURERETkieWiGF9vWH98UiGo1fHlBD8ZWz1JnluwWqvD0iouCC1cjUvw9MesiubwAObnqZw7D6UK/auXYW/LAvz2nOW83QOrNdnbtZBftTUnU5HbB0Bv1v0fOIhK9nqOh5BO7fPeFlRqtvh3YRnOnre9Af1D65Yf9vCNJn40tOn6IgMXwqCLX1ghbM8f648qIiIij45CeBEREREReaLdsz++UrXAddYf72oNyLMb9TaOHL/2lE1GO0cQOPx0aAs+5xZset6F0O/AmQuwc816yONZH/nRtLQWvJ5QOYz69scgtEl4HGRTIIDRGMpd2N60gzLfmYNqFdafsgn5nS07iFOtQRzjogTvCzsr4p2L5ICr1W3q/ta6JNXWiIiInDoK4UVERERE5Il2v/3xALyr3sZ7jx/0oN8jnp+DUgl3cAje469dsRC/XLKJ6saLsLwOVy5Ztc3+FnQOYTKyiXo5uYocprMJ+SnQ78/qaUo2JV+vQ5bCfmgHV5IaNOr2PqnWYDTGT0b2OEFoj3PpTXyjhavX7cDPh6yt8Vl65/tWQb6IiMiJohBeRERERESE9++Pv+t9bgnwXbWCHw5sIWsQwfIq5DlBtYbPMqu4GQ1sueuVS7bgEweD0CpvgtBqS8bDj+pHlIfG20R8NoUwAgrrj3e5HVgZ9G0Kvrxpr3kY2W2nsyqbwQDGA1g9hz/3tC16nS13pZzgvYdeBw+4e7wfbz0AxNEZHOqfFxEROZEUwouIiIiIiDwgF8WEzTY02wRRGZhNKO9u29LXKMJFdeuWX1yhuPACXL8C/88fw8Y7kGZQrdjEfK9nveIFkE+P88eS+5Fn0Du06fhmHSp1KFetQ37Yg/lFKFcgHUNeWDg/nVhwvjsL6ecW8JUqfn4J2gsEcYxPKlaRdI+Jdj/o3dhlcGvI7oLgvoN8EREReTQUwouIiIiIiHwEbl366t8VlAZxDE89S5Fl1gneObAO+kEfag1b3FoUMPZWcyInn8+g04HBGBoNC+BdYIt45xYsrJ/ODqoUs8n5ILTXvL1ol+9tw7BPsbhqewkc+PHIztC47VulNgH/rvfVrZxz7xvki4iIyKOhEF5EREREROQjcrelrzgH3ltf/MpZ+PQPwv/5U+geQLNtvd5FZiFuKbHucV/Yktc8swDXF9YvLieMh2wMvQJKZZt2n8z62sPILksnME0hDKHUsdcznUKjBatnYTKB7gE+y6ym6OAyxdzcbV3vfjwCx/vWzDjn8PcI8kVEROTRUQgvIiIiIiLyEXm/pa9BUoWVNYr5JXjrdbj4GnQGVmniAlioWNieplZN4x1EIQyHVmsSx1Zt0uvZJLacDEd98QAustfQY2c4jMZ2eRhCUrUdBFvXrVpmf9em6JOKHXCptyGp4CtViD30rt98HzWa+FoDd9Qlfy9xyW6vShoREZFjoxBeRERERETkI/Z+S1/d6hmo1fGf+l4LZLc34HAPtjYssA8Cm5YejwEPlQqMUyCHKAKcTVgXGUymdhs5GXxmAfu75QUMOvbRb8PCPOxvQ1iGahlWzkE0W+D6ahfCAObnIYhh66odgHEh3jl8a84m6UslO0sCdzPkL5VxhQ7QiIiIHCeF8CIiIiIiIsfsqLbG9Xv4lXWYX7LO7+UNuPSWLe9cWIIigOkAhgNwg9nCzxTmFmF/xwJ752FvFybD4/6x5H4NDu2DAPC2pHd7x/YEJBWYjq22JipBe85e98JDo25he2ffbteas7Momk2rMRr2ZzsJqrYg+H3qa0REROSjoRBeRERERETkmN1aW8OsbsQHgU28N+dsIn4064ivnoF6y+pOtq5b+B6Gs8loZ8Ht2lm49g4cHlhdTZGh6fjHQWGfhkP7CCML3MuJvb6jAfQ79uckAb9s0+7dQ6u9ae5Duw3bJajWrdpm1jlfdA4I2/PH+cOJiIg8sRTCi4iIiIiInBB3q63x5z1Fvwc7120CPo6tdqTw1hu/vwPVKiyu2PWjgVXUrD8FC4uwvWlBfDqxOpuiOHrk4/kh5f7lmX1kGYyHgLeXLanZct/rV+2gSzkBMhiFNjVfb9ntfWHXhRG8c5EcCFpz7zkR77P0zv0Fs4WwLtJyVxERkQ9DIbyIiIiIiMgJ5pwjbDTxlQpFvwuH+xaQUsDKGZuO39mCKLAFoNUKpBnk2xA1YS61vnDnYGcbhl273nubpp9MLOj1HgXzJ9BkZB84wEMQQpbDNILCQWlg0+9gB1lqdVvaWxTQObD3SLNpE/N7W/gowt1lN4H3Hj/oWQ2SA+ISLo7xRQGDHr7fw9cbuFpDtTYiIiIfkEJ4ERERERGRx4CLYsL2ArQXbru8WDuDf+3rUCpD5xCGPWhVbBq6XIHNdwBvwWxcsg55hy17HY9nE/Y98CFQwGgE0ymQP/ofUt7D7ABJkdtHNrGvx0OYjsAHQAGVxA7M1BsQJdYR//q34cLT0FyAfg9/l6l2P+jZAtmkclvI7oIAygnee+uXh7uG+CIiInJvCuFFREREREQeY0FSJV87a73xq2swnrdKGucgT63apndok+7La1ZPUk6sumbYtyn57Y3Zozm7LstgZ8MmqdPpcf548r6KWVXNzGRsS1knY3sP9PZtr8CoD8++CK02fjyy2qMZn6U2Af+uAP5WzjnbWXCPEF9ERETuTSG8iIiIiIjIY84trdmc9PYmBM6C9zi2xa1ZavU1a2dhad2m3oMA2vP2URSwsASDnt1uadXqaeaXoHdgU/GDPvS6swnsqV2WKZw/mQqbkh8UdiaEH1ogf7gLW9v4ziE4yOt1cCG05q3ixmeQ1CxgLye46M64wDmHd9wR4ouIiMh7UwgvIiIiIiLymAuCAFbOULTm8J0DONi3MH5hCeI1ePpj0D2AMLCqkvHQqmm8t5B+adUWfDogKtsi12i2ANZ7u66zD8Mh7F23x08Dm5jPs+P+8eVustQ+wsjC9jyFgz3YescOviyu2B4BF9qBmLPn4MwzMJ3iwz6+VsdVa3dOxsclO1ijShoREZH7phBeRERERETklAiSqi3gXDkD3Fy26bsdcB4ODy1Un6bWEe8Lm4IucnjqGZuKTqcW0meZdcaXEgvwy2VbCltvwEIXrl2xmpuoZPdPJ8f6s8s95BkwO1AyPVrCm9uZD0nVAnlfwOuvQacLy6vQmoN0av3vtfrtj+ccFDrwIiIi8kEohBcRERERETmlnHO4ehOfVPDNFr65C91Dq62Zji1snV+CVpuglNidSiV8tQbjEZxpEdSb+CylGA1h+zpsXoOtaxbmX8fCXBdCENnkda6amhMtz61eqPC2E2BvC8LY6ot6XTvrYTiCANjdpFhcsaW/hbeDLUNbBJtvb0IUQqVhU/FRiEtTC+iDCCpVnLrjRUREAIXwIiIiIiIip56LYuvwnlWI+JdsQp5+b1ZBU8J7b8F6OgUPNFq4WuPG/cNGCxot/PlnKfa24bX/A0srsPGOLXYNcqu7cYl1kKsz/uTKUjuL4VYutLqag204+6wdoMmm8PZ3IKlZPVEU2iR8vQlxGVzVuuavvGV98qvruEbT3keDHr7fw9cbuFrjngtfRUREngQK4UVERERERJ4wt03Ij0fW8X00wVxr4JLqXRdzggXywfK6TcaXEqg2YGkN8LC1Aft7UKnBdATTWfVJmkGRPtofUj4Yn9vnzgGMvg6lKszNQatll3e7MBxAOYFmG+b3ISxBtQa1JvQ60O/il5ZhfglXTiAModexWht1yIuIyBNMIbyIiIiIiMgT6t0T8vd9P+dwiyt4B7jAako6h3D+OTh3HkYjqzQZ9mEwsGnpyRjwFsgHznrIi/yj+LHkQU0ntjcAYDyA6xt2lkMYQ15Aow77uzCZQKliC4DLFfAZXOnD1Sv4PIVaDWotqFbJLzxPqCBeRESeUArhRURERERE5ANzSQXKVfzZ87astbMPu1vgI5uObmZWd7O3YxU3S2s2Qd3vzG6XQ5paUC8nUAH9AxiEUCpBHEGlDni4ft1ukk1sse/eNtTqdnAlCKExB9XEpuNrPZuI39slf+5F3No5giA41p9MRETkUVMILyIiIiIiIh+Yi2J8vQHdDrTnbXlna94m3nsdyFNotCx4///9ZXDelrqmUzhzzm7jAtjesuWgk7HdR04Wn8NkBBPsoMq7RbFNw9cb1jVfTmB3G0qxLXMNQlhYhrkxTMf4yRj/9AvqiBcRkSeKQngRERERERH5UI4Wt9Lv4Wt1qFQtTK/XLYAtJ1BkuIUVnHMU55+z5Z+71y2o7Xbg7FPQaFo1TffQOuWLDKbjY/3Z5D5lqX2Mh5BUYNgFZ7sFqDcgCuwsicnEDsD0DimmE9zcvO0gqFTtrAq4cz/B7DoXxcf8Q4qIiDwYhfAiIiIiIiLyody64JWjALUU3xKgVvEHu+A9OEeQJLB2xj4An2X4yRguvg4X34TGPKzPpuQ3r8F0CqMB4I/3B5X3V2Qw7AEh1EuAh+EQJiHEse0AOHDgHFReh8UfhCDA97v47ev2EtdquFIZF8f4ooBBD9/v4esNXK2h6XkREXlsKYQXERERERGRB/JeC159pQqDnk3F33G/CBfVKb7rU9BswjdetZ74pVWrsjk8hN1NWw5KAOMxoGWuJ1sO/S4MB1ZRVIqBAPy8LW+NS/DORfy5p6FSg86BfTgHzSa+NY9PqrhygisneO+h18EDTotdRUTkMaUQXkRERERERD4yLqnYNLP395xkDsIQf+5ZfKUOWxsWyjabkGUw9xKkI5hbtknra1csnB/1Ic8e7Q8j96/IraJmElj3fzqZhe0hOGA0st0A0xRKCRQpXHodGm2o1vG1Gn5pHRaXra6m38OrmkZERB5TCuFFRERERETkI3NjgWuvYyHqXYJ47z2MR7i1c7A2q6NJKvjdLQvl93dhMoTFlVkzjYMAGE9gOnrUP5J8EL6wj1FmdUUALrZ++J1N+zpwdhZFsw2ub8tegwAuvQHdffyZCxBF9h6pK4QXEZHHj0J4ERERERER+Ui5WsOy834P77BKEuesKz6dWrDeaN1Y9Hp0W+pNu810bJPTgwHECTz1jNXU7O7ANIFsYo8XRhA66PVsEltOJp/CoGMfcWLvh34P+h1oLUIUAgUUDt78Nmy8AwvL+MVVimeeJ0iqx/0TiIiIfCAK4UVEREREROQjdesCV3+0wLXIbIFrrYFLqrjo5n+e3rbsNYrx5TK05i10Hw/s8pWnoLFgVTVZBlEJOocwHUARzJaEequsCQKrQcnTY/sdyD2kY/sAmExgNIb+AdRb1hlfq0OW2kGY7Q18npEvr+KW1giC4Hifu4iIyH1SCC8iIiIiIiKPxHstcH3v267C+efxWXojxPeTkYXu1y7bpPRoAOfOQVbYItjr71h4O03tMwXEVZhONCV/Uk1H9jHowGACT523Ayf7e3bgZm7RlvZuXLWzJVbO3PEQt71HphM70wIHcYQrJVCp4tQtLyIij5hCeBEREREREXks3BHinwX/sb9AcbALr38T3rkM4QSClvWLD7tweGBT8R4ola36pNe1j8kYKI7xJ5K7SlM43IF8bK9jKYE4hsN96A+gVoGNy+Tf9Umo1K1TPs/tDInxCMoJ4O2173Vswj7w+OY8zC3iqzVcex5Xa9xzWbCIiMjDpBBeREREREREHlsuigmX1mBpjWI8xHcO4PVvW8VJpwNzS7OAdgzjoVXXxCVotO3ywaEteC1ym6aXk8Hn0D2EbhfKZQvhyxXY3piF8mV463W7fDyAooA4gpWzdrCl34HMQxhA4aEUwe4utLZg5Sx+PMSvnCVsvPdZGbdO1t+oUNI0vYiIfEAK4UVERERERORUCJIqJFWKIIQwxAUBxXgMvUPY27UQPs+hWrUgN53AYQd2N4AArl2B61dg0D3uH0VuKGAygsnUptxxgLeDKThoL0ClYjd1AWxvwmgCpRiqNbuuVLb7Z1PwDuYvw9pZODwkX1mz98E0hVLJAvZGy6bpJ2NbGDtbJuziGF9Y3ZHv9/D1hqbpRUTkviiEFxERERERkdOlUrVe+HJCkCSQrFqX+Lv4LMMf7ML8POzv2lS183D1ki1yzVLrJPfYFLQcoxyyHAi4WSHkrbamG0JSgTC0KptpahU10wlMKhDFEEUWxhc5dPagd2Cv88degqeesdA+z6BziB+NbLLeeZhbvG0BrAsCKCd476HXwWOLhEVERN6LQngRERERERE5VVxSsUll7997SjkMcY02XHj+xtSz7x7Cf/9PsLcDkwGMxhbsFt6mo3uHNjktx+QuHf5FDsP+uy4LZr3/E6g2oNmA6dSC9snEgvnRGL79Tau2ac3Z4xTeJu6nYzuYMxxSzC/iygkuuhmhOOfwScXeM6qmERGR96EQXkRERERERE4VF8X4esMmlZPKXYN472dha6NFEJcgLuGTCr5Whxe/Gy6+DoG3ipM0g80rEMYQBBbmBkA6ndWcZBCEUKTY2Lwcv8JeisnQwvXxwHrms9x64qMIkiqkI/jzCVx4DhaW7LXt7kPnEOptm66fW8S32viFZVyzdeP95JzDO/DjkS0MFhERuQeF8CIiIiIiInLquFrD4vB+Dz/r9MY58N7Ccw80Wrha4+Z9opiw0SL/5P8HyrFNx0+nNjntvIXxrQUY9+zP/Z5VnjhnYW2vY9PVRQb+LhPbcjzSye1nL2TABBjMpue7HdjZhqUFqDRgNAK8XR7F1jPvgKSCP3MO/9Sz0GoTlCv2vhoNQZU0IiLyHhTCi4iIiIiIyKnjnMPVmzbdPh5ZUFpkEERQa+CS6m31IrcK6g2KhVXod2yRq3Mwtwg71+3rnQLynlWc+JZNy5dLFsQe7ltlTVZANrHJ+UKB/Ik27NvH4Q7UGlCuQn12cMb3IE6smuZgYAde+gNozVGsnoHlNZz2BYiIyPtQCC8iIiIiIiKnlotiqwr5AJPKLophZQ3wC+q3nQAAV89JREFUNumepra4MwyBAuaXYG4ehiOo123qvdezsD1PATfrFh9YB3meq0f+cZCmVkNTTa0TvlyBSmLvgWoVqv//9u48Rs77vu/4+/fMfe/svVySoihLoiU58iEnceIEtuPAlgE3QGu7SFC4dYK6aeukdS8nqeU2dVwjrosmLtwLDVwHaBMLbmGglhG1SavUgC07TqS1RVoSdfDc+5jZuWee5/n1j+8sKYqkSFFc7nL5eQELLufamR3mifx5vvP5Fiysr69DJgNP/TlMTOKnDxAXyrjLdMP7cHDxiaBc/rK3FxGRvUchvIiIiIiIiMjLBMUy3jl8bcMC2Si0Tvj6+jBMjWHmoAXsjRp0e1AehYlpGBuHxUVYPA3ra9Bp2DT9IASvqendy1tvfKdjPfIugMBZJc1gYO9fpw0bz0CvA9UJmD8LY1P4tRX8Zt1OtqRTkMzASNXu2+2cXwrbbsLGKtTreDxURmHfASiP4BKJi0J6QAG+iMgeoBBeRERERERE5GUuVWfjS2WojlkA2+tCuwUpD8WDMLkPul0LcYsVmD4I3Xvh9AlYOgtnTkJj08JYIog8oJqaXSkeQGdgJ1jCvu0DqK8NQ/kEJBy0GpDNQqsNx+ZgatZC8nbLgvdkAl7o2/s9MQmjk7C+Yv3yAOm0VRXVVmF92RYDH7wd9t9uC1+bm/jlBdtdUCjg0hlcKoWPY2g18M0GvljCFUqXXDwsIiK7i0J4ERERERERkcu4VJ3NVr2Ib9RtQrnfh1QScNBpQRhBoQilsk1Lb94J+08AAWyuWxDb7cD6qk3J9wYW2oaDnXqZcin9rn0B4KyCJp2FvofFs8NPR6Th+adtUr5atffRx5DMQ60GvbZN1q8uQxhCecSCfLCTOf0uZAo2EX/2FDiHO3gHPorOL/2NsrggsGcRBJDJ4r2HRh0POC2FFRHZ9RTCi4iIiIiIiLwKr9QzHw/6+PUVWFuxMDadgckZ6xN3zmps+j0LY5sNePI7sLQAmzVobdr14cBC3TgGr4n53cHbpx96w1A+nbNlrd5bEL90GgoFu7zTtvez24F8GfodOH4M7rjnfAAfh9DrQa5gjznoWxA/f4a4MmrXDetoaDXwmewFi4Sdc/hsDpoNvKppRER2vT0bwq+trfGVr3yFubk5Go0G1WqVt771rXzgAx+gWCxe8f6NRoPvfve7/MVf/AWnTp1ifX2dZDLJwYMHeec738k73vEOguGZaBERERERERGAIJWGqVn82OQFXd4+m4c4xpVH8L2O1ZmUynDPG6FStdD2zItAYJU2HusX3wrtiSGMoba2o69Phvod64PPZmBkDMjD8gKMjtlC19U1e79aZ6G+YdPwS2fspEw2a/3yDqu4SSSsK75QtL8vnIGxiXM1M945fK+LS16YZTjn8M46411RIbyIyG62J0P4xcVFHnroIer1Og888ACzs7M899xzfOMb3+DJJ5/k05/+NKVS6RUf49vf/jb/+T//Z6rVKvfeey/j4+PUajW++93v8h/+w3/giSee4B/8g3+g7jURERERERG5yMun5X04wK8uQyLA5Qt4GAbxJdh3EDJZu2Nt1WpLcnmIvX1NzkBjA1aWIF+EzQ1oNW3SXnaOD6ETWgXRwinI5m3yfWTEKopGRiE3nGZ3AZw6ActLkArsww2FApSq9m8gjOx2+bztEJjed/7nJFPQbVtI/3KptJ3oUSWNiMiutidD+N/7vd+jXq/zkY98hAcffPDc5V/+8pd55JFH+IM/+AM++tGPvuJj7Nu3j3/yT/4Jb37zmy+YeP+FX/gFfv3Xf53vfOc7fOc73+HHf/zHt+11iIiIiIiIyN7gkil8sQSNOmRzBIUiPpPF97qQSFr1SL5kwfrIqNXVFMsQxdCsWVCbzliPvAdcCpKBBbA+GtbXRDv8Km9x3bZ9rQ+Xr9Y3oJCHZtPex3gAg4K9j4mEfcphY92+z+eBACoj0O3i3Es+ee+cLYm9FOes2kZERHa1PRfCLy0tMTc3x8TEBO95z3suuO5DH/oQf/zHf8w3v/lNPvzhD5PNZi/7OPfdd98lLx8ZGeFnf/Zn+cM//EOOHTumEF5ERERERESuiiuUbAK+2cA7IJXG5Qs29V7sw/gUfvYANDahXDm3jNNXR2Fz0/rEU2lbCFquWP94s2ZBfKtpX7GWu+4ajQ3otqzvHYbv37CGptkDl4R00k6q9PuQOWO1RA58swGFon363nsL6i/Fewj2XLQjIrLn7Lkj9VNPPQXA/ffff1Fney6X48iRI8zNzXH8+HHe8IY3XNPPSA6XoagTXkRERERERK6Wcw5XLOOzuQv64gmSUCjhsnkIZvArC7C8iA+cBfTJFFSrkElb//j0fiiWLKxfX4GNVajVrBal04Juz3rkwwGEfSzllR2xFcCDfVKh04Ywbe8NfQgD+yRErwv9LgQBVCfhhz+AO18PI1W7bTpL3GrastetfzPDxa2uUt2Z1yYiIldtz4Xw8/PzAMzMzFzy+unpaebm5lhYWLimED6KIv70T/8UgDe+8Y1XdZ9PfOITl7z8t3/7twEYHx9/1c9DBM6fENK/IRG52el4JiJ7gY5lct1MThIfvpNwYwW/tooP+7hkDrf/AMnRKaLVReKwD80WcXOTaGUBn8nh+32i2iqD9VV8ow7NBoTeprHbbWg3oNvFCsllR0QD+9qy1SSTTkMXm4zvNuHYX8DZF3CT+0nkMiTLVZKjYwSlEhSKBOk0RBG+1yVZKZMYGTu/yHUwIO608O0WPg5xQRKXLxDkCrjU1S1w1fFMRPaC3XQs23MhfLvdBiCfz1/y+q3LW63WNT3+f/2v/5XTp0/zpje96apDeBEREREREZFXI8jlSedug323XXSdL4/gmpu4fTYBHe07cK5r3och0cYa0eoScbtF1GwQ9XvEZ09De9MWgLY2ode3Cetu+0a/NLmUfh/oQ8dBtw+pFPR7xPUacb5ImC8QJBNQHSM5Mk6QSYNzuGyeaG2JoFTFzcxa9/xmDXyEy+RxhSKkE9DcJGrUceURgmL5XGAvIiI3xp4L4a/Ee/sY3rX8P5xvfOMbfP3rX2d2dpZf+ZVfuer7bU28X87q6uqrfi4icP5Mnv4NicjNTsczEdkLdCyTG8WHA/z6BmTaOOfw3uPDGJaWrG88lYKJfVZdklmDQgmO3A9Li7B4CmprsLYCtQ3rFA9Dq0pJpuz+fVXY7BwPvTb0gGYdMnkoFiFfJk4lYX2NfvAskLA6mrFJ2w8Qn4AnvgODEManYGwcXGBd8ums3SaXx62vQ6lCUCy/4rPQ8UxE9oLrfSzbt2/fNd93z4XwW5PuWxPxL9fpdC643dX6oz/6I/7Lf/kv7N+/n0996lMUi8XX9kRFREREREREroFLpvDFEjTq+GzOuuYLRXwmi+91LXzfqjx53esJxqZwyST+yIB4bRlOvgBnX4T1NWi3IHAWxKdSEMew2YCl09Bu7uwLFQvko2GXfMY64EkmoVC0TzJEIdRrEPWGYfsILC/YyZTJGbtvu2H/Jiam7H7NBn7YJ3/RboJcHje8TkRErp89F8JvnZFYWFi45PWLi4vA5TvjL+WRRx7hy1/+MgcOHOBTn/oUlUrltT9RERERERERkWvkCiWbVW828A5IpSGRwOXyFtJ6oFjCFUrnPgnukikSU7MwNQv8FDCcqu928EvzsLZsC0I367A8Ay88C62GLYDVZPzOCXvnA/cwhHQOBj2bku+0IJu30D1ogvOQKdp7V9uATMYCdgJYW8Lvuw3i0Jb/OmdLYYtl+3cTBNBq4JsNokL+itPyIiJy9fZcCH/vvfcCMDc3RxzHBEFw7rpOp8PTTz9NOp3mzjvvvKrH+9rXvsZ/+2//jUOHDvHJT36Scln/T0hERERERER2lnMOVyzjs7mLp5kLJVw2j0te+X/yu2QKV0zZ4xRKFtpGEX55waanF85AKgcbq+DDKz6ebJfYTpAAdBoQZyGZtvqZdtOC+ETSqoTCvu3eXV+BkTH7pAMOTnZhacHqbTxwxxGrtOm28Z02FIq4fAEAX9/Q+l4Rketoz4Xw09PT3H///czNzfHoo4/y4IMPnrvu4Ycfptfr8e53v5tsNgtAGIYsLS2RSCSYnp6+4LG++tWv8vDDD3P48GE++clPqoJGREREREREdpWtEJ3XOLX80oobsjnczH78j/yYTdg3m5DLw9qiTWQT2HS27JxeF3pLFrwnExB7+wSESwAR+Nim5MEC+kHPTqr0WzB10Dril8/CYAJGrTOZ5iYeCApFyOXxmzV8Io1LpnbqVYqI7Bl7LoQH+KVf+iUeeughvvSlL/GDH/yA/fv3c/z4cY4ePcrMzAw///M/f+626+vrfPzjH2diYoIvfvGL5y5/7LHHePjhhwmCgCNHjvCNb3zjop8zOTnJO97xjhvxkkRERERERES21UsrbnDYcs/9h2BxARIBxIPzPfE9Z9PUg8gulx3grfs/GpyfkndJ+zTDVr//+iqUytYnn8tDfQPaz8JIFQoFq62ZmILqOJQqMBjgM1lb+OscvtuxkzwiIvKa7MkQfnp6ms9+9rM8/PDDPPnkkzzxxBNUq1UefPBBPvjBD17VRPvy8jIAcRxfMoAHuOeeexTCi4iIiIiIyJ5wccVNB6qj0OlCPgeFkoW6nRbU1q36JJMCl7Mu8k7vfGWNV5nJjvAhdEPoJcFHkMlCrw+phF0fRxDVoFm3KfpUGlaXbIlroQwB+I1lwsyPEWRzVnN0iU9ZbO0SuNRSV03Oi4hczHnvtV1lh83Pz+/0U5Cb1Pi4fWxwdXV1h5+JiMhro+OZiOwFOpbJXuPDAfHKEjRqcPpF2NiAZg26bQvom3UL211gQX3goD9cINptQ78HqYxV2Phop1/Orc0N9+VtnRzJ5KBStfcKD/kijM9AdQxcQOENbyQ1NkGt3SG4/a5zy3299/hW4/ynJVJpXBDg4xgG/UsuBBYR2SnX+7/N9u3bd8333ZOT8CIiIiIiIiLy2rhkClcq472Hw0dg/hScDSGZgnIV8gUL47ttSKShmIfIQ2MTcjmbmI9iSCUhDKHf3emXdOt6+ScTeh2oO6sZSiTBN8HP2/uUShG+eByyWWi28a0GbjgN71uNc3sDiCJ8p20T8VvT8JksbKwDnLuPiIgohBcRERERERGRy3CFkn3TDPCHXgcjY3D2eWi2rMokHNhEdTiA1rAvfmvCut2CzToE2ER8twUbNWg1NBm/G/TaQACJhPXIh6H1xrsi0WYdf+YklEfxSwvEw554mg28B069AMsLEEV233IVSkXoRBB7/KBHnMkSpNI7/SpFRHYFhfAiIiIiIiIickkv7Ymn28Gn0jYFXVuzADYR2ALQ2MPmBjhn09DlEUgmoblp0/CdDiyehTMnYHXBLut1rFceAHXI74zY3ov2AAhswevkDOHmOjz3Q1vYCvj9t+H3HbRPPdRr4D1URqGUtfC+vm7/JkbHoDIGrQZ+fQWmZnf01YmI7BYK4UVERERERETkFblkCldM2ZLOyRnri29u2oLW5qaFt4WSdY+PjkGxjMtm8d0xqG/AiIORqnWOz5+AbteC+dqq1ZsMBhD2r/g8ZDsNT4ycfsH+mkjZJxoSaaivwtNzkMlbsF6tWiCPt5Mu+aK9h2dP2ftdKMPzzxBlsgTFspa1isgtTyG8iIiIiIiIiLwqLpkiMTJm9TRDFy3tdIHVm8SxTUpnsvCGN8Nd91hYu74M9Wlb6NnvwtoSBIF1yTdbVmejCfmdEw1sD0AyY59wwFv1zOI8TM/A2CSUqlAZsesbdVvGu7EB4xN2UuWZBHGpAmMTuNEJ1dOIyC1LIbyIiIiIiIiIvGYvra7x3Q502rg4hGwOX7rdbjPo4wMHE1Nwx924bB6XTAAQv/AsnHjewl8X2IT90hlYWoTGxk6+tFtb2Dv//SCEZNc6/WvrUCxCvgTFCpQqFsbHoQXyuYKdSCmWYXkB32wST83gCiXrlxcRuYUohBcRERERERGR6+aC6prLiCubFtQmgvMX7j8Egx6sLkOvB2MTVn3S3oTv/zls1sADCQftYRWK91aZIjdIBBHQbgLDTy34ZSiV7cRKMgVBErrrtqAXbBFvIgntRXyzhq+M4cYncdmcampE5JahEF5EREREREREbihXKOEBmg28A1JpXCqF33cbJNO25LXVBOchm4cjPwIbaxbo9towPmVLXVubsNmASH3yN4yPoB/BYA3SOQiA2gA2Vq0LvlgAl4RiyXrlR6qQStmkfCoD3Ta+vmHvfbGkyXgRuSUohBcRERERERGRG+pS1TXEofXG778Nwv2Atz75xbMwPgmbkzYNHzi7vNGAZhPWl2xavh/ZJP0gBB/b48n28TH0Whde1u1APQ3pDLTqEKSgULDe+IOH7TblCrSbeOdgZQFfquDGpzQZLyJ7mkJ4EREREREREdkRl6uu8eHgXDjv8znIFmD/7dY53mpAvWbd8QCDATz/DGyswOqKBcM+gF4Xuq2Lf6hsnyi0r17bevwzWWjlrT9+eQmq4zC1z6pqZm+DdBZWl/HLi/hB13rkq+M2NZ9M4QZ9O5kSJCGXV1AvIjcthfAiIiIiIiIisqu8NJyPARIJXDDsj88XYGL63G19GOLTGZuQX1mCk89bAN8fTsVvLEMY2bLXbgsGqq65YXpd+yKw339jAxo1GJ+AXscWt0YhjIzC6IRVDC2ehdMnIJvHT+/DlcrW/d9q4FVhIyI3KYXwIiIiIiIiIrJ75fI2/Z7JXvJql0ziq2OwtgyT+2xiftCH2gps1qHbg8Uztsx10Lfqmyi0xbBb0/SyzWKrr9lYg40NmD9tn16ojEJ1wt6P5iZ0Ojb5PrnPlr+2GviRUSgW7f4eWFvCj4zZv4fmpr2fxJArwcgoQbEEcGHN0VVO0r/0ExiawBeR60khvIiIiIiIiIjsWi6bswlo7y8//TwyZv3w3ZZ1kBdL1kO+sQ5rSxbYNurWWT5/CqII8Pb3bvtGvhwhtvep27IQffEU5Ipw250Q9q3r/+wpW9CbyUJ1DGYO2ILXcsX2AfxwDpJJqIzZ5QD9Dpx+kThwkMlDsYhLZ3CpFHG/D8uL+G4bslkoVnD5wrlw3XuPbzWg2YCXLgqOY03gi8h1oRBeRERERERERHYtl0zhiyVo1PHZ3CVDUJdM4stlC+DzRas6iSILaCsjEIY29V6rwb4DsLoMrU3rlu91oLEJ/S70eti4tdwQvS7grIbmqScgnYZMxq5LpaG+ast42y3rki+WIeHsPvmiTat3u7h8HjI5fBhDbRXyfcjlwDniVhNaTQvXcznbIdDrgo/Pheveg2vW4WX/vlwQQCaL997+/QHuZfsLRESuhkJ4EREREREREdnVXKFk0XizgR9OKuOcdYUP+pabT84CHtdqQip1wW18pw3dLhQrcPguqK3B8iIsnrZgPrtmk9SrKxbWJwKInV0m28zbSRJC6LehnbT++MBZTU28AkvzcOI5m2KvjsL+11mYPj4JzTp+K7jvti2o7/dhcwMfhnZZJnsuXPcJD+sr+FzefvbyPAQBfmqW4DJT7s45fDZn//5UTSMi10AhvIiIiIiIiIjsas45XLGMz+Yu7uwulHDZPEHSIg6fy190G1ep4qbyuOFt2HeQ+HAbf+oFOPqkTUYngNtutzqUQc8Wu0bRS3rjNSF/Q8Sh/Rm95LJBDzbXoZ2yGpsosoqafN6W7iasux2AILDwfuGs7RLI5yGRwpfKkEzZfQd9SKXs5E6rAadOw9mTxJncsMrIqm+CTO7cU3DO4Z11zbuiQngReXUUwouIiIiIiIjITcElUxaAvkIlyNXcBiDI5vF33ks8cwDmT8JzT8PSWQhSEA4giqHQhmbdAnkX2B3DPgwiLkyJZXt5C9ajcDg1n7CTLJ229cQvzduS13IF5tdgbcUW8ebykJoFH9hy3n4PxqehVIFOB9/rwKkXIMZuGzh7/PUVWF0hHp+AsSmCYDghn0rbz1QljYi8SgrhRUREREREROSW5JwjUarg73g98dR+C+NffBbOnLS6k5EKZA5bb3y/ZwFs6MHFECQglYF203rKG5uwWbepbdk+0QA2lqG+bl+Hj9j0+pkXIY7Ax8OQ3NsnHFbmwSUBB+UybKzaNHxnuJR30IN0BjotyI7blHx5BGIPp09AbZ14pGqfushkreJIRORVUggvIiIiIiIiIrc0l0yRGBmFkVH869+IbzXwtXXrFo9CC+QHPas+SSUgX7ZFn62mLQ7dWLYJ6uUlC+vrW9PYXYj7O/3y9qY4hPoGPPE4TM7A+JSF68mEVQrFEZRykM3bYtcohrUuxDG8eNze09EJu08mBTi7LpM9/zOSCQv6K6O2J6DVgCgirlRxhdIllwSLiFyKQngRERERERERkaFX7J/P5XFZ65b33g/D+jULbvt9aLWgMgLpNAxCKEQWyrca0O/u9Evbo4bLVddWrct9egaaNbuq0wa/aNPtxHbZYFhpk0xBImHvbewhl7PKoX4XkkmY3m+37/ZgZRFm9lvffKEEjToecKqlEZGrpBBeRERERERERORlrtQt/9KwPk6lYXEeJqZh8SxURy3s7TSh2bCgVyH89or6sL4EG2uQSVvFTGUE8gVoD0+EgJ1MGfQhW4Tahr03UQyDgoXs/a33KmH1NXEM86chlYJECtIZfLcNaytEYxO4UgWXzeGS12dZqw8Hlzn5c/1+hojceArhRURERERERESukUumCCb34QslfHUcCkULULMF6x9P52yyOoqtWz72w+5yD/idfvp7jw+hG1rfe7sJLmGhe5CwCqFEYJ9O6HUhX4RE0t6LxibU6vb+pZKwvmx1NPmCPdbKot02mbDO+EzGJupbDXyzgS+WXlNFzdYnK2g27Hmm0rhUCh/H1+1niMjOUQgvIiIiIiIiIvIaXDAVn0nb5HSrCe02jAYwMgKVMaitn1/cOuhZV3mvh6Wu3iaf5foJB8DAvo+HdTTR8LpBD7rOAvg4BgIInL0V1XFbwLpZs5ohF0Ny0oL3ZgNKFZuM7/dwpTLe+9dcUeNbDWjUIZu7IGR3QQCZ7HX5GSKycxTCi4iIiIiIiIhcBy+diqfZwM8csInq9VUs5AXaHeg0wGXssnzROuRx0Ny06epB3/7c6jGX7dG7REXQetem6dN5yGUgk7NFvGEIxZJ9mqHdsu+HJ02cc/hszt7za6iN8eHAwv2XBfAv9Vp/hojsLIXwIiIiIiIiIiLXyQWLXQtFqz+JY6itgS9DLg/Jaeh2ra5mMJzUTqahWLTJ63TaJrSXF6DTsQDYR6/8g+X6qdch3YVeHjI9649fPGMnR3J5m5AvFq2vfcg5h3fgux3bJfAq+G4HHFesmXktP0NEdpZCeBERERERERGR68wlUyRKFShViGdvw49PwQvPQn3NAvjqBEzNWGVNb9hfHiRtoWhj00LeQgGabZu+3liz6pp4cL5aRbZHHFkPfLcNQdp+7yMjEEYwPmEnSCamIJ0lbjWh2xlOxQfQab/6SfVOG1Lpq7ttKm23VyWNyE1FIbyIiIiIiIiIyDYKUmn8bXcQZ3LWU762bDU1m5vWNz61H8YmIJuHKLTrByH0u1CvQdSHfQehP4CNJahvWBB7qToVub7iPjQ27HfdaMD6ElQnrTPeMTyJ0rMQPpODfJ6434PJfQSV6tUtUY1DXOoqQ3vntDtA5CakEF5EREREREREZJu5ZAo3UrXlm4fvwt1xN4BNUrcaNgEPFvZO7rOAd7NuNTZxbH9vNWFlBM6egk7XpuLbXeg0odvaqZe290Wh9fiHA+i0YHkRzjwPyRQEAVRGYXQS6Np76QJYXyE+dBfB1L4rB/FBEh/HtoT1Sry/oAZHRG4O+r9aEREREREREZEbwBVKeLDlmg6rFsnlLWSvrwMOKlXI53Fgt40GFswXSzA1C/e80cLg4z+EUy/A6hJEVQvlw4FNSXeH09lhf+de7F406NoX2O+4XIVsFlYW7dML+TKMjVtI325Cr0+cTJEYn3zlx83lLbzPZK/iOfShUHrtr0VEbiiF8CIiIiIiIiIiN8AFS1u7Hei0cXEI2Ry+dLvdZtCHQQ+CJK5Stan4XgeaDZuGT6XBOfzd90F1HGqrltavL8LGBuDAxzal/fQcNJo2MS/XVziwSiGAVMZ+35ubVl1TKEE2A0sLsHiaaHo/FIpWV1Mqw8goQbF8rjfeZXPEtQ38oAHthlXchAN7r7N5OwGTSNplmzUIB8SdNuTyuFfbPy8iO0IhvIiIiIiIiIjIDeSSKVwxdfXLNVOpC4J76x/Pwv6DUK7YYteREQvjG5sW5DbqMHMACnW7rFFjOFsv19ugZ18Arbr9mc5YLU0yZUF6LguFCoyOwfQs8YHDcOhOXKFoi117HVhfsbcombT7RRFsblglURRBOgWTswSFEj6OodXANxv4YglXKF1d/7yI7AiF8CIiIiIiIiIiu9zlgvt4dAK/vgLPPwN4m7ZOp6E0Ci4Bvadh9LBNUC8v2HJXH9m0vGyf/jCU73WsGqhfsCW786fgh9+HTAZuvwt//1uhOmY970HSOudbDUg4CBIQRvb3yggki9ZBD9Yfn8nivYdGHQ+4qz2pIyI3nEJ4EREREREREZGbVJBKw9QsUSYL62sWrvf71gdfKMBgAEvzkM3BgcMW8kahdc33B9BoQPTy7vhzjfRyPYQ9aAyGE+5JcGkIExbGLy3AvW+COLKv/gAGHQhjCJwtYh0dg14fygGcPUlcrtpUfDaPy2TtvW028KqmEdm1FMKLiIiIiIiIiNzkgmIZ3+1CJnNBLUk8OQPPHYMzJyxwz2RsaehWx3g2C92ufQ0GkExAIg39FoThzr2gPSe2EyNh36bbc94C9uUFqxMqlSFXspA+lRoG8pHV0PS7EJ+BtRWojtoi33IVBgN8q2Ed9IkEdDv2aQkR2XUUwouIiIiIiIiI3ORcMoUvlqyaJJs7F8S7Uhl/9xtgZAxOvWDVJkzZlDVYfc2gb5PXCydhcd6C30LZpq+7zZ17UXtV2ING7/zfBz3otqDQtpMghQoU8hbYD3pQa4Nztg8gX4BU12pu8JAtQG0dAoefP0OUywAB5PIXLYAVkZ2jEF5EREREREREZA9whZKVyDQbeAek0uAcLpfHT+2zrvheF4olSKYhm8NlcvhexxaAhm+B556B1dPQbNtC134FOk0L5Pt965OX66vfhfUudDoWwDebdiKk2wFiW+yaTdt78PzTUKlAddxOoITh+dqakapNyjvsfT5zkjhfgIkZgqIWt4rsJIXwIiIiIiIiIiJ7gHMOVyzjszl8t2OT03EIQRJXqcLkPpugbjYsqB2G9GRzFtqGTbj/AcqldxIvnqF58kVYW4TVVUhnhj3yfXtMH1tIv75+iU55uSadtn0BJLPgvL0/7ZZVCHkH9TpMjFv4nsnbSZHYW53NZhLyG3ZZOLB6oTMvwgtPE49Nwb4DuEqVIJvf2dcpcgtSCC8iIiIiIiIisoe4ZMq6wYvli69MpS4K6V2QhMkZSKYgHJDKpIkSAQRJuP11VndSW7Mu8sWz0KzbpPbkPpg+YGH84mnotm/8i92rwu6lL+91wIfQ61mvfzZnJ1OadciX7ORK2IfNuk3H5wqQz1vv/NJZ/PIi0eQ0bmKGIAhu6EsSuZUphBcRERERERERuYW8YkhPjuT4OMmZ/QTlUXy3gx+pne+LH5mA8SlI5yAeQLsL1S7MHLQg/sXjgCprto+3IH7DQxAADvJZq6aZDODFZ+xTCsUKJFIWzq+tQL0GswetU/7Ec/gwhNnbzj1q3G3j6xuwsfXJhmGvfCqFS6fthEwuj8vm1DEvcg0UwouIiIiIiIiIyEUuCOtnD1pQO38aXnjW6k6yJahO2jLRKILbDkO5YkF8PIDQAx7iyK6PBjv9kvaGKISoaSF7KgVtD/0B5DLQjyCbgRgoFO32PoaleUglYHzaKoWe+A5RGML0rH3KYXnRuuWzOSC2SfqNFXBJ/OQUVCdwrQa+2cAXS7iCOuZFXg2F8CIiIiIiIiIickVBNo+//S7iiWkLbTtNW/aaTFsNSr8P5REYGYPm5nCxa8cC+zi2haOb6zv9MvaOaGBfiRSECVhagMo4RB7abWg1bIHrYGDfP/tDqyAqj1ow/+IzsLoAYQRj4zAI7X1tNSCTtUA+mYKVJQDcxDTee2jU8YC75CcpRORSFMKLiIiIiIiIiMhVcc6RKFXwuTxxs2F98Z0G5+pL7pyF2QNw+kXodmB5HlpNC3gzKVvkevYUbG7Ygld57bbC+H53+HvO2omRAGjU7QQJCUg6C9S7HUhm7ERJtgjVMQgXbflurwuFkvXJdzvg25DNwsoycblCkMnhszloNvCqphG5agrhRURERERERETkVXHJFImRURgZvei6uDyCTyRsqnp80sJ5F9j09eoKnDxulTZra9DcsEltPJYaxzf6pewt3bZ9uYQF6XjIZKwzPpeDbhfSWej17VMJuZJ1zI9N2P0TCXDOvoL0+TAebxU1Ezmcc3gHvtuxuiIRuSKF8CIiIiIiIiIict0EQQBTs8SV6oXLPhNpOHg73HEEDj8LzzxlQfzaolXV+BB6PQvlNSX/2viXLMeNomFHfwoaNRj0oFC2pbqhh4SDZNKWt45NWgXNVt+7c5DKWBC/vgoT03Z5Km3VNqqkEbkqCuFFREREREREROS6C7J5yOZhavai66JSGUbG4fkfwpm8hbyDvvXINzah07JFoTgLjcPQFrzKqxcOoDmATh+SAWw2Ib8JBDb53mxAas06/jdWrY6mkLcPJ8QR4GyCvtchPn3Cev49UBkhev2P4Kb241RNI/KKFMKLiIiIiIiIiMgNlUhn4I67iWcP4H/4fVhbhpVFq04pj8BmDfIlCPvWH99uWUjfbe/0U795RX2IABeC85AIrEfeD6tmUsnzE+/ZrAX0qYwtal1ftUB+ahbGJ6w/fn0V/uzb+AMH8bfdhRup4gol3NYUvYicoxBeRERERERERER2RJDNE+8/BLfdgY8iWJqHo39hwXCvBfkKlMrQ6VqIvHDWgnkXWCjssXA+jrC/yBX50Kbet6SykI0gyFgtUDSAXh5SCftUQuQhm7ETJD60eqFCEarjUCjAmZNWYZMI8IBTRY3IRRTCi4iIiIiIiIjIzsnlodUgyGRh/23EySTknoLTJ6yT3MeQSYPLwPQsNDchCi08HqlYdU0UwcYG9NoQpKyCZdDd6Vd2cxh0oRbCIIKtIfZBzXrf2217D+KBLXdNp2ypaxxbbU0mC8UKHJ3Dd9qQSBKNjsP4FK5StUoiEVEILyIiIiIiIiIiO8dlc/hmA++9VZlMzlhVCg7Wliz89R76Pej2LPitjEAybRPdxYpNwpdGrV4lAGob0GpagD/oQRjbhLdcWhRCow6plP3+8NDahBj73SYSFrz3OkAAuZzdZmXJlrqGPVhfg0Ovsw8krC7hlxeJJqdxEzO4OMJ3O7bMNQ4hSEIury55uWUohBcRERERERERkR3jkil8sQSNOj6bIwgCmJghLlTgxLNw8gUL0lNJuPOIBcYrS5AvwMHDMDZhy0JjD/OnobZu3fEeC94TCZuUj7LDGhbV1lySD6EfXvq6KIROZ3hyBOi2oLZqJ0gKZfukwub3IZ2GkVHYd9Am6Bfn8a0m5Is2ZZ9K41IpfBxDq2EnX4oldcnLnqcQXkREREREREREdpQrlCwabzbwW2FtLgdHfgQ/e8gWhw56VocSJGH2kC1szWQs+O20IZmwaptuFx74aVsq+sM5WF2yHvkohiABrToK4q9B2IdzGb0DvFXTtFrWDR8k4eRxWClBvWad8ekUvPgM/sBh6PWg28QTQDZnC3jzRVyjri552fMUwouIiIiIiIiIyI5yzuGKZXw2d1FtiRubwM3ehkteGGNFzU1YXoDlRWg3IJWDg3fAvgOQSEI6A4k3w9EnobZmi11zeQuGO21IOPCB/ZxuF+tekaszPInhY+vfbzbs9z1/BvIlO+GxdNY+geA91Nfhtjshk7d6m/oGLJ6BVAZfHYd2iziZVIe87Fl7NoRfW1vjK1/5CnNzczQaDarVKm9961v5wAc+QLFYvKrHePzxxzl27BgnTpzg5MmTdDod3v72t/Orv/qr2/zsRURERERERERuPS6ZwhVTcBVT0Yli2W53+G7i5ia0GrhMlrjZsLqafg9KJThyny15HfShvWkd5vk8FEes4gagVrP+eR9Df2CLSOUqeaur6Xk7+dHr2KcTohA21iykP+7g+NMwcwBKZfvKDgP5zQ3o9/E44qkZVdPInrQnQ/jFxUUeeugh6vU6DzzwALOzszz33HN84xvf4Mknn+TTn/40pVLpio/z3//7f+fkyZNks1nGxsY4e/bsDXj2IiIiIiIiIiLyalyw3LVQxDtnFTb9LoxULRBeX4FCEcYiG3rvNiFXtCC+UIKoZxPy2ZwtIQ1D6HXtvqqvubI4gmbdvq/XIZmykxpBYP3wZ0/ZBHylan3+YWhfztsJkX378ev78cWyvS/DxhvwVk+UzmiZq9y09mQI/3u/93vU63U+8pGP8OCDD567/Mtf/jKPPPIIf/AHf8BHP/rRKz7OX//rf52xsTGmp6c5duwYv/mbv7mdT1tERERERERERK7BS5e7ks0RFIr4TBbf60K3A8USjE8Ory/YhHy9ZsF8FNtUdr8PKwsW/IYD65jvDWyyu9O0y+QqxRD2IDEM4l3CAveVJZuOz2QsjC+U7Pe9uW4LdVdWYGoGJvfZpxFyOauw6fdtmWsU2t4ALXOVm8yeC+GXlpaYm5tjYmKC97znPRdc96EPfYg//uM/5pvf/CYf/vCHyWazr/hY991333Y+VRERERERERERuU4uudw1X7Ae+EEfyqP423OQSOC6HRgdt6Wvgx60W1CqWGA/6EFQsEnuIIBGDdYi6AXWbx4OsOT43Ki2XE60deLiJScwwr5NxtfWbalrACTSdtLDOaivWYd8eRR6TcgW7SRKKgWVMXw2C6sL+OIIbnxSk/FyU9hzIfxTTz0FwP33308QBBdcl8vlOHLkCHNzcxw/fpw3vOENO/EURURERERERETkOnul5a4USrhsnmBruWupctH9vffEs7fB3OOwumr98f0I8kVIZaC2YT3z4cDC+UTCamuCwCa9ez3oNLYe7ca98JvRoDc82dG13yNYLVCvC70+rC7CobusOz7cBGLohzB/Cg69DsanoNXAD/r4QR+yWShWcPmCQnnZlfZcCD8/Pw/AzMzMJa+fnp5mbm6OhYWFGxbCf+ITn7jk5b/9278NwPj4+A15HrL3JIf/8aB/QyJys9PxTET2Ah3LRGSvuJWPZ/HYTzM4cBuD48eI1laINmvEHZvWjnv7SfgYN3uI1Og4LuzjByFxaxPvAvpnT+GPfR8Cbxl8t2MT9grkLy+ObYlrOIBBCHHLamt8CGuLJFMB3gUQDUjN3gaBg8YmQTZLMgggGRCMz1iVUD5LIp2EqI8r5AmKZdXV3OJ207Fsz4Xw7XYbgHw+f8nrty5vtVo37DmJiIiIiIiIiMjuFwQBmYO3k5qYItxYwa+t4sM+LpnGV0dhEMPGsoW7hSIECaLGJn5liSCTo+NjWFqA5qYFy8WyTc8TQ+Stf57IflgybSF0HO7kS95hMXTbVkOTStunCZJJCCNoNghrm5BMEKR7xKtLJKb3E/s+8dnTxLffSRDHuCCBz2St2iZfgEQSX98gBhKX+MSDyE7YcyH8lXhvZx9v5JmwrYn3y1ldXb1Bz0T2mq0zefo3JCI3Ox3PRGQv0LFMRPYKHc+G0gWYKVx4WRbiVApf34DlFYj6tnx0ZAzGpq3m5rljMH8G1pag2wSXtfr4fh9SQDJjf8cPF5b27Pt2B4hv9KvcHbwfnqzA+vvBlua2m5DOERcK9NdW4IXj4CNbrru2AtP7oV63fvnaGqSH78XoFBSKBLMHVU1zC7vex7J9+/Zd8333XAi/Nem+NRH/cp1O54LbiYiIiIiIiIiIXK0gm4dsHqZmL7jchwPiyohNcu8/DGdOweIJaLWt7zyZgUzCprzDGFoNwFs4H0WQK1mwvDUpf6sLQ2g2gAasYyc7CkUoVa3h5+nvw/EfQCpnwXu1agt1221YPwpRRLx4BiZmLLiPY/skQjoNuTyuVHnF/ngfDi7eLZDLq3NersmeC+G3zkgsLCxc8vrFxUXg8p3xIiIiIiIiIiIir5ZLpkiMjBInk9Co4+++1wLchVOwugKNTWg37LKwA5P7YHqfBfALp6HTARw06xbUR72dfkm7SzSAzQ07aZFIQNi3Ex7pnlX9hH1bkluqQGnEpuuP/9DqbtIZCBJQKFmvfL2G73TwuTyuVMYVSudaM7z3+FbDTgA4IJXGpVL42E6c+GYDXyxdcB+RK9lzIfy9994LwNzcHHEcEwTBues6nQ5PP/006XSaO++8c6eeooiIiIiIiIiI7FGuUMIDrtmAZBJ/4A4oV2FlGWorNkVfKNuNm5vQ78L0LOQK8Loj8OR37fLAWRDc6+zo69l1ui0L2wnABdBrQ9yHsGsd/NkcrCxBJg29Ljz9A5uGz2SttqZStVB+YxUKRXyrgR+fIjEyCmABfKOOT6asIqfZwG9NwmdzkM7gGnV7j4vlHf1VyM1jz4Xw09PT3H///czNzfHoo4/y4IMPnrvu4Ycfptfr8e53v5tsNgtAGIYsLS2RSCSYnp7eqactIiIiIiIiIiJ7gHMOVyzjszl8t4PrtKEygi9VoDNrAXsma1PcBw7hsll8p2Md8v2BTcYvz9v39Ro01q1Gpdex6+LYpsJvZXEMxBAnLZCPYmg2LZTPF236faMHQRoqI7C+aktfO5vgHdx2J9x2+7Cnvw+nXyQCXKGIb2za77mxOZyET+GSWbyPraO+1cTnC9DYxKuaRq6S81ubSveQxcVFHnroIer1Og888AD79+/n+PHjHD16lJmZGX7rt36LUqkEwPLyMh/72MeYmJjgi1/84gWP893vfpc/+7M/A6BWqzE3N8fU1BRHjhwBoFQq8eEPf/g1P9/5+fnX/Bhya9KyHBHZK3Q8E5G9QMcyEdkrdDzbPpeqOsE5qzqpb8Bm3YLk2opV1EQxdFrWIZ/wsLl5vkO+24VO06a9NS1vihVIpoAYBrH9jpPOwviREZuAj0IL8YtVmJm1TyEkAkimYXR8eKIjshMlgx40bDKeKIREEkpl65XPl3GT0wSaht+1tJh1m01PT/PZz36Whx9+mCeffJInnniCarXKgw8+yAc/+EGKxeJVPc6JEyf40z/90wsuW1paYmlpCYCJiYnrEsKLiIiIiIiIiMje9/Ip+a2lny5IwuQM7DsI4QA6+/EHboeNdVhdtAqWRBoOpm3J6GbdeuZbTZvYbtVtAWwc2vW3qmb9wr8HCQvOEz0gtqn4dNZC+M11O3kx6MPrf8QWwZ5+EVwCxsahtQobaxbkZ7L2FYVWaRN7yG/iMxmrwBG5gj05CX+z0SS8XCtNJ4jIXqHjmYjsBTqWicheoePZ7uLDAX51GTIZnHP4MLRp+pPPw8IZm4Tvd6BWs1C+07bJ7X7HAmXHsL7lFowAEymr7nEJq/9x3qbikwnI56BUtcn5B34CyiN2ciOVgm7HFuWOjg/7518mji2Mn5gi8dafuuEvS66OJuFFRERERERERETkilwyhS+WbFloNodLJnGVKv4Nb8Hf9jqorUG7Zb3nnWEver0OqwtQ27DAeDhxT7cHvGRSPp2zKpYwtOqVvWarO99HVk8TJCBuWW98pwvdRSiX4Qd/DofvsioasBMbsbcp+TDk3AmMTMaC/WTCpuKff5Zo+gCuOmohfxie/10HScjlceqNFxTCi4iIiIiIiIiI7GquULIYuNnAv6RL3pXK+GTS+uEnZ6xHPl+w5aODHtTX4dSLsHTGOuezOchmbBo86gPOJr89sLo0DJKHy2GDwP6Mwh197dePt3AcoN04f3G/Z58iWDoLYQRh3/rhC2Wojtj3sbffS9yH2FnFTSZr1516Ab88b7+r6hiMjhOkctbz32oQ1zYglQQX4HykcP4WpRBeRERERERERERkF7tclzyBTcW7qTwumSRy2DR2Immh+76DML3fus9ffA7OnrQwOV+CwNkEfTprk+LtFhBb+B6GFs7HMUTefh57tGu+27Y/200ggHgAOFhbgfmELWLNFiCVsYqfOIbBAJyDbN5C+/veZN+vLgIePz5lC3fDEFqbFvSPjNlJk2E475sNfLGEK5Rwzu3gL0BuBIXwIiIiIiIiIiIiNwGXTOGKqcsvAy1WrEql07Igvtuxie1sHu44Yr3n86csiB/07c/SCKTT0GoNp+WHnehRbEF9wkEysGn5aI8G8QBxxPkTDd6+whg2NiDdspMTyYRNsqeSdpNeD374fVhbgkN3wfg01Gv4Rm34++/a7zdfhE4bn7OTJWSyeO+tYghwWu665ymEFxERERERERER2QNcvgA+hlzeJuY3Vm1ZaxBAsQR33Qv7ZmH+LDQ2YcrZ4tZMzoL9409BfwBByia8+z2bDA9SNi3vGYbVt5IY+l37NpWGFDYNn3CQzEA6Zb/L539olTbVUTuhMTEF5YpN2nftpIjvFnDFki3X3TpZsrZCNDaBK1VUUbOHKYQXERERERERERHZA1w2h282IJEgKJbgpYFvt2MVNoUKvK4IrTaMT4L3VsXigEIBnv2B1a0MBhYmdxq2vNU5C/Sdt6A/SNx6gfygb1+JlNX19EPr2R/0oRFaf36/Z9Pz7U2YPgAjVftdbdZgs0ZcHrH3IpuDQtGWvYahKmr2OIXwIiIiIiIiIiIie4BLpvDFktWcZHPWJZ9M4pJFC3zBalC6HfzEPqtG6bTxgYNBCHfdB7kCPHvUAvbxGThzAuuKd9Yf77Bwvtthz/bEX0k0sC8CC+PxdjJjMIBEz3rgA+zvC8Nlt4WifaIglbLfcRRBvQb5HPQC64tXRc2epRBeRERERERERERkj3CFEh6g2cA7rELFuWFI3LdKmVKFYGva+uVh7+teT3TnfXD0z2HxrHXEJ5KQL0M+b+F7rwcLZ6BRt8eNwxv/QneF2F6/j+37MGGd/NHAlrQOQqhOQDoDG2v26YNoYAtzyyOQSNgJjXQfmMQ5h8/m7L1TNc2eohBeRERERERERERkj3DO4YplfDZnvfCdtoXkQRIKJVx2uBz0FQSzB4grFVhehCcft+7yfMmmt+MVe8zRcatf6fReUkvjt/8F7jaNGmTy9r1zQAzJNPgAmjX7BMHYJLgE5PIW0i/PWz1NrmBVP2FIXBnHFYq4ZBLvsPcuy8XvYS6v7vibkEJ4ERERERERERGRPcYlU7hi6uJJ96u5r3MkShV8Lk8chXD0Ses4T6ZgctZqaho1W/i6ugS9xLAPvQ/EWBdLfPED79Ue+V7bQvawP3zZDnxok+4rK7YgN5uDyhi0GtDtWi1NoQiFsl333A/xnTae2O5HAl8dgVwJ8gX7SiVwL+uOJwoV1N8EFMKLiIiIiIiIiIjIRVwyhTt4u4W8Dtisw6BnE9/lCpTKEHlo1aDdssnubA7i2ALpbteqWsLQhuRzWatf8dHeC+R9dHFFfjRc1ro0P7zgRcikYWIGxqYgk4OlM/b76vfttmsr1hUfx/b7qk7AHXfB+BTkCvhCEUbGYH0N32rgPPbepNK4VAofx1ryugsphBcREREREREREZFLCrJ5oqkZC5KnZmzZaLdj4froBIxOwskXYP6EdcdXxyGZtD70zQ2ordnlLrAAP5WxbvowsmnxXo9bp8YmtjqapbOwumyBfDoHeFveGkX2u4m9naRoN613f+kUTO+HO++Fqf12vY9h0Mff9jqCdPrcT3BBAJmslrzuMgrhRURERERERERE5LLcxIzF5MuL1nFeGbFQ3cdWUeOGvee1VeuPjwaQTlsg77GJeGLIVa2GZWkeoob1pmfzMOhaAH2rGPSHJzNa4Dat1scBYQypxHDZKxbSuxD6A1hcgNqmdfFPzkChAPmiLcudPXTRj9CS191FIbyIiIiIiIiIiIhcVhAEMDVLXKni6xuwsQ5RHxJpmJzG3XUvPo5g4QycetEWkg5CW0R62x0QxTBow/q61dQEDlZX7HvnoJu28D7sc9k++T1nOP3vo5ecgHAw2Pp+AP2X3Lzfs995vweppFX84ODYHHEiBZMz9j69hHPu3JJXV1QIv5MUwouIiIiIiIiIiMgVBdm8Ta5PzV76Bofvxh88fMGiUB9jAXtpBOfAt5qwsQZnnocTL1iXfODsz1rdFpcSA84WjW5xzi7ze3li/gq1PL0B+A7Mn4ZpoFiCRADzZ2yZ68T0xfdJpe29UCXNjlIILyIiIiIiIiIiIteFS6Zs6voloW/c3LRu82yOoDJidTaH7iB+U9MC5VMvwuoijM2AHwDOFrzOn4SNDau3iWOraYkS4DwEKSC25a7hwOpxEgm7b9i/9JO72fkYXMKm4Zsb0CxDeQQSwNoycWmEIJu98D7uZSczZEcohBcREREREREREZFt4wolm/FuNvAOm852DpfLw8Hb4cDt+ELJQvals3DieVhfhtfdAxurVl3T71kIDVAoQiYHzSZEPZv0DlL2fT+y20V7MHj28TBQT0AiBWtLFsL3+xB6eOJx4n7HOuTTKVviOjWLK5Z2+pnf8hTCi4iIiIiIiIiIyLZxzuGKZXw2d0FVDUESCiVcNk+QtJjS5/PEE1OwcBrOnLKFpencMHwe1tGEMZQrcGcVOh147mnoNm1KPjEMoPt9W3y614QhJL39PjoDWFuB2rr17gMcOgzFEVt2e+YkPHsMv2+WaOYgEFuPf3UUV6lavZDcEArhRUREREREREREZNtdqqrmUrdJjIzByBi8/o0A+HBwLrz3jbpNxyfTUC5DtzesrjltoXu7CbG3/a71OvS6MOhBENjlUTTslb9JF8BGA0gmIUhAKgErC/Z9pQoE0OtBGFl9T68DjXU4umLfv/5NgIfVJfzyItHkNG7i4oWucv0phBcREREREREREZFd66Xhva+OEaez0Nq0HvhcziptNjdgbAy6Xeh3bYI+lYVm3cL3bgsGIdC3XvVEEjIZu71zNmEee6t82e3LX5MJq/TpdqBRg30HIZ2GwQCaLZuSbzdg0IfKOKSScOY0lEdhfBrOVf/MW03Q5RbtynWjEF5ERERERERERERuCi6Zwo1U8d22TblnsrixCfzhu+D0i5AvQuCg1YCREchk7e/NTZsQz+chnbEAv9e1hbGbG0Bg4bv34JN2W78be+UduCT0+hbCB0l7Pb2u9eafetam/rs9yJegFEIia0trFxcsmM/krFc/nYGFM8Sqptl2CuFFRERERERERETkpuEKJfzUPlhehOYmPp2G6f020X72pE2J778dSmXYWIOFM5ArQr4A+w9ZYB2FsLlpt00mrae+07Ip+cHAHitily14dZDLQzIF7U2r1imP2OR/rQapABIZO4EQOOi17cREdcwC99UF2Lcf4gg8FuK3Gvj500Qz+2GzBhvrEPXVHX+dKYQXERERERERERGRm4ZzjkSpgs/liZsNW0zaacDoBFTHIRxAowF+YFUrs4cg7EOrbVPvgy7gLMAeGYH0nVZHc+YUtDagH9rfo+FXbROi7s6+aJx9OSARWOd7FNkJg7VV68VPDk8otBuQzVsQ3+3aBHx1FLIZm4iPI/sd5XJACZ7+PqwuQ6EAuTwukcNHobrjryOF8CIiIiIiIiIiInLTsSWuozAyesXbxt02vr4BS/OwtgJry1AsWQg/NgWVEajX4PmnIZGC+VMWWPfaNknfqFvo3W4Pe+OxafktYf+lz8zqbq5Lt7zDfpi3gD2ZskqZKLSu91bDptw7bUh0gcAC9nTWpvpxkEnbyYfkhD1kMmnT87mcva7mJkzug1wBl0jgo8jqbgYDWwT77FH8xhpRqQKNTU3KXwOF8CIiIiIiIiIiIrKnBdm8TYcPl5DGzU0LoLM53DBMj8sVwFlf+sgo9DowOm73O/0C9AaQzAzD99i61VNpm0I/ewrCrk3RFwrW1R6H0O9DfwDx4BWe3VbQ/tInnLRu9yi0nvpEEtI5OxHgY8iV7Hk0N+3viRSk8jYh3+3Y/TIZuzyRPP/wUWSPG0f23Gqrtqg1sI58j7NaHrCTCK0mzJ+GJx+HsWk4cAimZuxkgCblr5pCeBEREREREREREbmluELJculmA++AVBqXzuJHxmB92QLuSgViZ8teK6PQbFjI3WnbFHm+aOF1IgHpBOSqFsrnC3b/dsuC7kYNepHd95IuEcAnE/Z9IjOcug+gWBjWzCQgnYbVFbutc1af0+vaY6XSFtz3epCMIRHabVwwXMyascdoNWAQQbViU/W1DUin7P71DftqbdrjjozZdavLdvJiZhZGxu05Ls3bKxie4JCLKYQXERERERERERGRW4pzDlcs47M5fLdjwXocwuSMheqbNat1KeYhlYJmc1jPEkE2DS5pVS0kIU5AYcTqbUYn7P5RaPdp1IEAkg3od4CE/ZxBn0tOwCfT1msP9hi5/DBAdxaOx9H5yfZs1qbg+z37M0pBKmEnBsIeeDf8OWkoVewxBj17ftk8LM9b+F4sQxRDuwnFaevYr63Z6+4PIJ+3UL/fh8lx+3nLi/Z7HJ3ElyqwvEisaprLUggvIiIiIiIiIiIitySXTOGKKQuiAR8O8PkCPuzD2ZPQ6VioPTlt1TQBNjHe6UK3CbmiTZb3unbbdMb64YsVKJRtGWoc2mT7Wm+4WDUByaL9GUZ2+0SAhfUp61wnYSH/1qR9kIBu2ybfCyULxVNJCFNAbAtY+21IliDhIMYW0LrAFtBWRmAQWqiexXrhW03Yd8Cm6tst+zmDvk3A5wpWdQP2vBgugnXOnksqDetr+GLZPkEQOOvcVwh/SQrhRURERERERERERLBQ3hdLuEYdP3vIpsPTGbuy04Fm3brg6+uQnbG6mnTKpsQ3N2xKPZUGvNXSJJK2zDTVg07Rpsjj2MLxRMLC9CBrE+zp7LAHPrKQvNO3wDuZtn72TAZSOaueyRes+923bUlqOTfsnvfgB8PKmpxV2CSGE+2FnPW9F0rWdz82YZU6YK8zX7RgHuz5tdv2M8FeT2KrIidhnxJIJmFzE8azNrG/sa5KmstQCC8iIiIiIiIiIiIydK4vvrFpk+nd4TR8Jg2+bNPo2az1qZeKMD5joffJ41Zrs7oCgbNJ9UQCyqOwNm/hdzYLqcz5sL3XsenyrbqYRML+7PYgwqbUgyRUJ22SPXDW5Z5MWBBfXwOCYR3OcGHroDcM9wNIZaHXtgn3oGT327cfRqpQr8H6qtXORDFksrC2cj54j0K7DoYh/jCwd85un85a3c74pIX2Uf9Gv1U3DYXwIiIiIiIiIiIiIkMv74v3jU3oNIdVLlmojuFKZQuoB4NzffJ+dMK65CdnYWXBKmriyKpgAKohzJ+CwnDB6mAAVIcT8fFwQj4BxJBPwMSUBd65PJTK1tM+CC38zuStMqbTtuWpPj6/0DVVtIAfbCq/24Ij99mUeqlCMDkDQFwagdUlO8mQL1jAH4XnJ/8TSXtcsFA/Vzj/fRAMTySEw8tim8iXS1IILyIiIiIiIiIiIvIyL++Lv6RM7tz18cQ+/MqCLS0tV60LPpuzcH1pwQLvA7dbJU25aotaO12rl0mmLWzPF6wypjxi0/HzJy0Mj2OsUN5ZiN/rWBg/Mmr329wYTtmnLbj33v4EuPMeqI7ZVH0yifcevLeblUZssr48YicNEkl73kHSFrLWaxa2FyvDmh0s4M9k7DklhvFypw3jU9vyPuwFCuFFREREREREREREXqMgCGBqlrhSxdfWYf60TcYnk3DodXD4bthYg5PPWiCfykKpZAG2xzL2/sAm1hPDzvixCeudd8663ePY6myiyEL3wFlwX6pCPLAedx9CkIbJScgW4I67oDRiPe6JBPS75xe8VidgYwUWzlgYn83aQtZMDvBWbTM2CcWSvUjv7fJ0xk4EVEbxcQyxx1WqO/Wr3/UUwouIiIiIiIiIiIhcJ0E2D9N5mN6PDwf4bud8ZU2pBIcOQ7MJ68u2zLTbgnbLAvPJScgVbcFqHFoPe33d7l+uWPidTtu0/cYa5EsWxE9WrZc+7NvkehxZWD97EDd9wEL9Xg83PolLpi58wlsnDuZPw6nnbTo/SMDoJFSq0GzYCQLvLcjP5s5P2xeL1gs/tc9et1ySQngRERERERERERGRbXDZSpsp4I67AfDeEzc3LVjvNIe1MSnodKC2bj3x+ZI9Rn8A7bqF47k8dNs21R6F1tleKFrHezoD+2+zKXbn7LJS5eIAfijI5vG334WfnMGfOG4LWssjw+73JGys2g3LI1ZB06zbz+oPYGofbmJm236He4FCeBEREREREREREZEd4pwjUargc3niZsOC907DAvDpWVvi6r11yPf7EI1BFFtFTCptU/RLZ636JpGA6QMwM4tLZ2DQt6qbUgVXKF3xebhimeiu++DMCVsii7efU65Yl/3GOrSbMDYFh16HG50gyGRvwG/p5qYQXkRERERERERERGSHuWSKxMioLVu9ggtqbtIpGB3Hp1LgHK7ftyqbKIJCCZfN45JXHwMn0hk4fDfxvgP4+oYF71HfanIO3YkbGVPw/iophBcRERERERERERG5iVy25uY6CrJ5m8Kfmt22n3GrCHb6CYiIiIiIiIiIiIiI7FUK4UVEREREREREREREtolCeBERERERERERERGRbaIQXkRERERERERERERkmyiEFxERERERERERERHZJgrhRURERERERERERES2iUJ4EREREREREREREZFtohBeRERERERERERERGSbKIQXEREREREREREREdkmCuFFRERERERERERERLaJQngRERERERERERERkW3ivPd+p5+EiIiIiIiIiIiIiMhepEl4EREREREREREREZFtohBe5Cb2iU98gk984hM7/TRERF4zHc9EZC/QsUxE9godz0RkL9hNxzKF8CIiIiIiIiIiIiIi20QhvIiIiIiIiIiIiIjINlEILyIiIiIiIiIiIiKyTRTCi4iIiIiIiIiIiIhsE4XwIiIiIiIiIiIiIiLbxHnv/U4/CRERERERERERERGRvUiT8CIiIiIiIiIiIiIi20QhvIiIiIiIiIiIiIjINlEILyIiIiIiIiIiIiKyTRTCi4iIiIiIiIiIiIhsE4XwIiIiIiIiIiIiIiLbRCG8iIiIiIiIiIiIiMg2UQgvIiIiIiIiIiIiIrJNkjv9BETktfv3//7f83//7/8F4Atf+ALT09OXvN1jjz3Go48+ypkzZwiCgNtvv533v//9vOUtb7mRT1dEBIDV1VW+9rWv8cILL7CyskKr1aJUKjE1NcU73/lOfuqnfopk8tL/qaLjmYjsFgsLC3znO99hbm6OxcVFarUaxWKRO++8k/e9733cd999l72vjmUispuEYcj/+l//ixMnTvDiiy9y5swZoijib/2tv8XP/MzPvOJ9dTwTkd1kbW2Nr3zlK8zNzdFoNKhWq7z1rW/lAx/4AMVicUeek/Pe+x35ySJyXXzve9/jc5/7HNlslm63e9kQ/vd///f5+te/ztjYGD/2Yz9GGIZ861vfotls8ou/+Iu8973v3YFnLyK3sqNHj/K5z32OO++8k8nJSYrFIs1mkyeeeIK1tTXuvfdePvnJT5JIJC64n45nIrKb/M7v/A7f+ta32L9/P0eOHKFYLDI/P8/3vvc94jjmb/yNv8H73ve+i+6nY5mI7DatVouPfOQjAFQqFZLJJGtra1cM4XU8E5HdZHFxkYceeoh6vc4DDzzA7Owszz33HEePHmXfvn18+tOfplQq3fDnpRBe5Ca2ubnJP/yH/5B7772XWq3GsWPHLhnCP/PMMzz00ENMTU3x2c9+9txZv+XlZX7t136NXq/Hv/k3/4bJycmdeBkicosKw5AgCAiC4KLLP/OZz3D06FH+/t//+/zET/zEuet0PBOR3eaxxx7jtttu4/bbb7/g8mPHjvHpT38a5xxf/OIXqVar567TsUxEdqMwDPnBD37AoUOHqFarPPzww3z1q199xRBexzMR2W0+85nPMDc3x0c+8hEefPDBc5d/+ctf5pFHHuHd7343H/3oR2/481InvMhN7D/+x/8IwC/90i+94u3+9//+3wD85b/8ly/42M3k5CTvec97GAwGPPbYY9v2PEVELiWZTF4UwG9d/ta3vhWwKYaX0vFMRHabd7zjHRcF8AD33HMP9957L2EY8swzz1xwnY5lIrIbJZNJ3vSmN11w0vBKdDwTkd1kaWmJubk5JiYmeM973nPBdR/60IfIZDJ885vfpNvt3vDnphBe5Cb12GOP8Wd/9mf8zb/5N6/4MZqnnnoKgDe+8Y0XXfemN73pgtuIiOy0OI554oknADh48OAF1+l4JiI3k606rZfXaulYJiJ7hY5nIrKbbB1v7r///osGvnK5HEeOHKHX63H8+PEb/ty0mFXkJrSyssKXvvQlfuqnfoof/dEffcXbdrtd1tfXyWazl5xo2KquWVhY2JbnKiJyJZubm/zRH/3Rue+///3vs7i4yNvf/vYLlnnpeCYiN5OVlRWeeuopMpkMr3/9689drmOZiOwVOp6JyG4zPz8PwMzMzCWvn56eZm5ujoWFBd7whjfcyKemEF7kZhPHMV/84hfJZrPnlua8kna7DUA+n7/k9VuXt1qt6/ckRURehUajwVe/+tVzf3fO8f73v5+f//mfxzl37nIdz0TkZjEYDPjCF77AYDDgr/21v3ZBRYOOZSKyV+h4JiK7zW4+LimEF9kBf/fv/l1WVlau+vZvf/vb+dVf/VUAHnnkEY4dO8av/dqvXfA/6F6rlwZdIiJX67Ucz7bMzs7y8MMPE8cx6+vrfPe73+UrX/kKTz/9NL/+67/+qo91Op6JyKt1PY5lW+I45t/+23/LM888w0/8xE/w/ve//5qek45lInItrufx7HrR8UxEdgvvPbAzxyWF8CI7YGpqilQqddW3Hx0dBexjfH/4h3/IO97xDt785jdf1X23zvJtnQ18uSudJRQReSXXejy7lCAIGB8f533vex+VSoXf/d3f5Stf+cq55dM6nonIdrlex7I4jvnCF77A448/ztve9jZ+5Vd+5aL/kadjmYhsp+v532ZXouOZiOw2VzoudTqdC253IymEF9kBn/rUp67pfqdPnz63Xf5yG+a3phj+0T/6R/zoj/4o2WyW0dFR1tfX2djYuKirb3FxEbh8X5aIyCu51uPZlWwt8jp27Ni5y3Q8E5Htcj2OZVEU8bu/+7s8/vjjvP3tb+djH/vYRQvBQMcyEdle2/XfZpei45mI7Db79u0DLr+LYiePSxf/V6GI7FqTk5O8613vuuTXyMgIAD/+4z/Ou971LiYnJ8/d77777gPgySefvOgxn3jiiQtuIyKyG6yvrwNcFGDpeCYiu1EYhvzrf/2vefzxx/npn/7pywbwW3QsE5G9QsczEdlN7r33XgDm5uaI4/iC6zqdDk8//TTpdJo777zzhj83hfAiN5FDhw7xy7/8y5f82jrb9wu/8Av88i//MocOHTp3v5/92Z8F4H/8j/9Bs9k8d/ny8jKPPvooqVSKd7zjHTfypYiIcPz4cXq93kWXd7tdvvSlLwFcVL2l45mI7DaDwYB/9a/+Fd/73vd417vexd/5O3/nFQN40LFMRPYOHc9EZDeZnp7m/vvvZ2VlhUcfffSC6x5++GF6vR4//dM/TTabveHPzfmtRnoRuan983/+zzl27Bhf+MIXmJ6evuj63//93+frX/86Y2Nj/NiP/RhhGPLtb3+bRqPBL/7iL/Le9753B561iNzKPve5z3Hs2DHuuecexsfHSafTrK2t8eSTT9Jqtbj77rv5p//0n170H0g6nonIbvLv/t2/47HHHqNUKvGe97znkre59957z01mbdGxTER2o6997WucPXsWgBMnTnDy5Enuvvvuc/8b88iRI/zMz/zMBffR8UxEdpPFxUUeeugh6vU6DzzwAPv37+f48eMcPXqUmZkZfuu3fotSqXTDn5c64UVuER/+8Ic5ePAgjz76KH/yJ3+Cc47bb7+dv/SX/hJvectbdvrpicgt6N3vfjfZbJbnn3+eo0eP0u/3KRQKHD58mLe97W28853vJJFIXHQ/Hc9EZDdZXl4GoNFo8NWvfvWyt3t5CK9jmYjsRk8++eQFO3kAnnnmGZ555plzf395CK/jmYjsJtPT03z2s5/l4Ycf5sknn+SJJ56gWq3y4IMP8sEPfpBisbgjz0uT8CIiIiIiIiIiIiIi20Sd8CIiIiIiIiIiIiIi20QhvIiIiIiIiIiIiIjINlEILyIiIiIiIiIiIiKyTRTCi4iIiIiIiIiIiIhsE4XwIiIiIiIiIiIiIiLbRCG8iIiIiIiIiIiIiMg2UQgvIiIiIiIiIiIiIrJNFMKLiIiIiIiIiIiIiGwThfAiIiIiIiIiIiIiIttEIbyIiIiIiIiIiIiIyDZRCC8iIiIiIiIiIiIisk0UwouIiIiIiIiIiIiIbBOF8CIiIiIiIiIiIiIi20QhvIiIiIiIiIiIiIjINlEILyIiIiIiIiIiIiKyTRTCi4iIiIiIiIiIiIhsk+ROPwEREREREbn5ee/51re+xf/5P/+HF154Ae89Bw4c4K/+1b/KfffdB8DnP/95vvvd7/Kbv/mbvP71r9/hZywiIiIicmM4773f6SchIiIiIiI3r0ajwe/8zu/wgx/8AIBcLke328V7TyKR4POf/zzOOT7+8Y9zzz338M/+2T/b4WcsIiIiInLjaBJeRERERESu2WAw4LOf/SzPPfcc+/fv52Mf+xiHDx+mVqvxL//lv+TEiRP8yZ/8Ce12G+89f+Wv/JWdfsoiIiIiIjeUOuFFREREROSa/c//+T957rnnyGQy/MZv/AaHDx8GYGRkhJ/7uZ8D4Omnn+b//b//x913332umkZERERE5FahSXgREREREbkmYRjyyCOPAPBzP/dzjI+PX3D99PQ0AM899xyApuBFRERE5JakSXgREREREbkmc3NzNBoNEokE733vey+6PpVKnfv+jjvu4I1vfOMNfHYiIiIiIruDQngREREREbkmR48eBeDIkSMUi8VXvK2m4EVERETkVqUQXkRERERErsmLL74IwN13333J6/v9PgAHDhzggQceuGHPS0RERERkN1EILyIiIiIi12RlZQWAsbGxS17/9a9/HYCpqakb9pxERERERHYbhfAiIiIiInJNwjAEwHt/0XXPP/883/72twFIJpM39HmJiIiIiOwmCuFFREREROSalMtlAJ577rkLLg/DkP/0n/7TuXA+juMb/txERERERHYLhfAiIiIiInJN7rnnHgC++c1v8vjjjwNQr9f5/Oc/z4svvsiBAwcAOHbsGLVabaeepoiIiIjIjnL+Up8dFRERERERuYLV1VX+8T/+x7RaLQByuRzdbhfvPQcPHuQ3fuM3+PjHP06n0yGdTvOTP/mT/O2//bd3+FmLiIiIiNxYmoQXEREREZFrMj4+zmc+8xne9ra3UalU6PV65PN5fvInf5J/8S/+BaOjo/y9v/f3GB8fp9/vX3aBq4iIiIjIXqZJeBERERERERERERGRbaJJeBERERERERERERGRbaIQXkRERERERERERERkmyiEFxERERERERERERHZJgrhRURERERERERERES2iUJ4EREREREREREREZFtohBeRERERERERERERGSbKIQXEREREREREREREdkmCuFFRERERERERERERLaJQngRERERERERERERkW2iEF5EREREREREREREZJsohBcRERERERERERER2SYK4UVEREREREREREREtolCeBERERERERERERGRbaIQXkRERERERERERERkmyiEFxERERERERERERHZJgrhRURERERERERERES2iUJ4EREREREREREREZFtohBeRERERERERERERGSb/H8PEQtl45O/EAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 281, + "width": 752 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "#type your code here.\n", + "figsize(12.5, 4)\n", + "\n", + "plt.scatter(alpha_samples, beta_samples, alpha=0.1)\n", + "plt.title(\"Why does the plot look like this?\")\n", + "plt.xlabel(r\"$\\alpha$\")\n", + "plt.ylabel(r\"$\\beta$\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### References\n", + "\n", + "- [1] Dalal, Fowlkes and Hoadley (1989),JASA, 84, 945-957.\n", + "- [2] German Rodriguez. Datasets. In WWS509. Retrieved 30/01/2013, from .\n", + "- [3] McLeish, Don, and Cyntha Struthers. STATISTICS 450/850 Estimation and Hypothesis Testing. Winter 2012. Waterloo, Ontario: 2012. Print.\n", + "- [4] Fonnesbeck, Christopher. \"Building Models.\" PyMC-Devs. N.p., n.d. Web. 26 Feb 2013. .\n", + "- [5] Cronin, Beau. \"Why Probabilistic Programming Matters.\" 24 Mar 2013. Google, Online Posting to Google . Web. 24 Mar. 2013. .\n", + "- [6] S.P. Brooks, E.A. Catchpole, and B.J.T. Morgan. Bayesian animal survival estimation. Statistical Science, 15: 357–376, 2000\n", + "- [7] Gelman, Andrew. \"Philosophy and the practice of Bayesian statistics.\" British Journal of Mathematical and Statistical Psychology. (2012): n. page. Web. 2 Apr. 2013.\n", + "- [8] Greenhill, Brian, Michael D. Ward, and Audrey Sacks. \"The Separation Plot: A New Visual Method for Evaluating the Fit of Binary Models.\" American Journal of Political Science. 55.No.4 (2011): n. page. Web. 2 Apr. 2013." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.core.display import HTML\n", + "\n", + "\n", + "def css_styling():\n", + " styles = open(\"../styles/custom.css\", \"r\").read()\n", + " return HTML(styles)\n", + "css_styling()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "pymc_env", + "language": "python", + "name": "pymc_env" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Chapter2_MorePyMC/Ch2_MorePyMC_TFP.ipynb b/Chapter2_MorePyMC/Ch2_MorePyMC_TFP.ipynb index 6f04a856..1e8752ee 100644 --- a/Chapter2_MorePyMC/Ch2_MorePyMC_TFP.ipynb +++ b/Chapter2_MorePyMC/Ch2_MorePyMC_TFP.ipynb @@ -3884,7 +3884,7 @@ "\n", "We will be doing this graphically as well, which may seem like an even less objective method. The alternative is to use *Bayesian p-values*. These are still subjective, as the proper cutoff between good and bad is arbitrary. Gelman emphasises that the graphical tests are more illuminating [3] than p-value tests. We agree.\n", "\n", - "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[4]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](http://mdwardlab.com/sites/default/files/GreenhillWardSacks.pdf), but I'll summarize their use here.\n", + "The following graphical test is a novel data-viz approach to logistic regression. The plots are called *separation plots*[4]. For a suite of models we wish to compare, each model is plotted on an individual separation plot. I leave most of the technical details about separation plots to the very accessible [original paper](https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x), but I'll summarize their use here.\n", "\n", "For each model, we calculate the proportion of times the posterior simulation proposed a value of 1 for a particular temperature, i.e. compute $P( \\;\\text{Defect} = 1 | t, \\alpha, \\beta )$ by averaging. This gives us the posterior probability of a defect at each data point in our dataset. For example, for the model we used above:" ] @@ -4028,7 +4028,7 @@ "def separation_plot( p, y, **kwargs ):\n", " \"\"\"\n", " This function creates a separation plot for logistic and probit classification. \n", - " See http://mdwardlab.com/sites/default/files/GreenhillWardSacks.pdf\n", + " See https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x\n", " \n", " p: The proportions/probabilities, can be a nxM matrix which represents M models.\n", " y: the 0-1 response variables.\n", diff --git a/Chapter2_MorePyMC/separation_plot.py b/Chapter2_MorePyMC/separation_plot.py index a5316bed..15433149 100644 --- a/Chapter2_MorePyMC/separation_plot.py +++ b/Chapter2_MorePyMC/separation_plot.py @@ -1,6 +1,6 @@ # separation plot # Author: Cameron Davidson-Pilon,2013 -# see http://mdwardlab.com/sites/default/files/GreenhillWardSacks.pdf +# see https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x import matplotlib.pyplot as plt @@ -11,7 +11,7 @@ def separation_plot( p, y, **kwargs ): """ This function creates a separation plot for logistic and probit classification. - See http://mdwardlab.com/sites/default/files/GreenhillWardSacks.pdf + See https://onlinelibrary.wiley.com/doi/10.1111/j.1540-5907.2011.00525.x p: The proportions/probabilities, can be a nxM matrix which represents M models. y: the 0-1 response variables. diff --git a/Chapter3_MCMC/Ch3_IntroMCMC_PyMC_current.ipynb b/Chapter3_MCMC/Ch3_IntroMCMC_PyMC_current.ipynb new file mode 100644 index 00000000..5bfc7d90 --- /dev/null +++ b/Chapter3_MCMC/Ch3_IntroMCMC_PyMC_current.ipynb @@ -0,0 +1,1877 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 3\n", + "\n", + "\n", + "`Original content created by Cam Davidson-Pilon`\n", + "\n", + "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", + "\n", + "`Ported to PyMC last by Kurisu Chan (@miemiekurisu)`\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": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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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 arviz as az\n", + "import matplotlib as mt\n", + "mt.style.use(\"ggplot\")\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_x[:, None], uni_y[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\");\n" + ] + }, + { + "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": 5, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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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_x[:, None], exp_y[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 less 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": 6, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "observed (2-dimensional,sample size = 1): [[1 5]]\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": 7, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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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_x[:, None], uni_y[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_x[:, None], exp_y[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 the 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 PyMC3 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 PyMC3 as just *sucks* ;)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "##### Example: Unsupervised Clustering using a Mixture Model\n", + "\n", + "\n", + "Suppose we are given the following dataset:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": 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 $\\text{N}_0$ and $\\text{N}_1$ (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 $\\text{N}_0$ or $\\text{N}_1$, and we assume that the data point is assigned to $\\text{N}_0$ 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 form a uniform variable on $(0, 1)$. We call call this $p_1$, so the probability of belonging to cluster 2 is therefore $p_2 = 1 - p_1$.\n", + "\n", + "Unfortunately, we can't we just give `[p1, p2]` to our `Categorical` variable. PyMC uses PyTensor under the hood to construct the models so we need to use `pytensor.tensor.stack()` to combine $p_1$ and $p_2$ into a vector that it can understand. We pass this vector into the `Categorical` variable as well as the `testval` parameter to give our variable an idea of where to start from." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "prior assignment, with p = [0.48929802 0.51070198]\n", + "{p: None, assignment: array([0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1,\n", + " 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1,\n", + " 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1,\n", + " 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0,\n", + " 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0,\n", + " 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0,\n", + " 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1,\n", + " 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0,\n", + " 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1,\n", + " 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1,\n", + " 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0,\n", + " 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0,\n", + " 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0])}\n" + ] + } + ], + "source": [ + "import pymc as pm\n", + "import pytensor.tensor as pt\n", + "import pytensor\n", + "\n", + "\n", + "with pm.Model() as model:\n", + " p1 = pm.Uniform('p', 0, 1)\n", + " p2 = 1 - p1\n", + " p = pt.stack([p1, p2])\n", + " assignment = pm.Categorical(\"assignment\", p, \n", + " shape=data.shape[0],\n", + " initval=np.random.randint(0, 2, data.shape[0]))\n", + " \n", + "\n", + "print(f\"prior assignment, with p = {pm.draw(p)}\")\n", + "print(model.initial_values)" + ] + }, + { + "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. We will include both standard deviations in our model using a single line of PyMC code:\n", + "\n", + " sds = pm.Uniform(\"sds\", 0, 100, shape=2)\n", + "\n", + "Notice that we specified `shape=2`: we are modeling both $\\sigma$s as a single PyMC variable. Note that this does not induce a necessary relationship between the two $\\sigma$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 these 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 $\\sigma_0 = \\sigma_1 = 10$." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Random assignments: [1 0 1 1] ...\n", + "Assigned center: [164.88903636 122.24034943 122.24034943 122.24034943] ...\n", + "Assigned standard deviation: [86.92440302 21.05705872 86.92440302 21.05705872] ...\n" + ] + } + ], + "source": [ + "with model:\n", + " sds = pm.Uniform(\"sds\", 0, 100, shape=2)\n", + " # form new API, may use the sigma/tau for paramter tau = 1/(sigma**2), \n", + " # the sd is not supported anymore in Normal\n", + " # https://www.pymc.io/projects/docs/en/stable/api/distributions/generated/pymc.Normal.html\n", + " centers = pm.Normal(\"centers\", \n", + " mu=np.array([120, 190]), \n", + " sigma=np.array([10., 10.]), \n", + " shape=2)\n", + " \n", + " center_i = pm.Deterministic('center_i', centers[assignment])\n", + " sd_i = pm.Deterministic('sd_i', sds[assignment])\n", + " \n", + " # and to combine it with the observations:\n", + " observations = pm.Normal(\"obs\", mu=center_i, sigma=sd_i, observed=data)\n", + " \n", + "print(\"Random assignments: \", pm.draw(assignment)[:4], \"...\")\n", + "print(\"Assigned center: \", pm.draw(center_i)[:4], \"...\")\n", + "print(\"Assigned standard deviation: \", pm.draw(sd_i)[:4],\"...\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice how we continue to build the model within the context of `Model()`. This automatically adds the variables that we create to our model. As long as we work within this context we will be working with the same variables that we have already defined.\n", + "\n", + "Similarly, any sampling that we do within the context of `Model()` will be done only on the model whose context in which we are working. We will tell our model to explore the space that we have so far defined by defining the sampling methods, in this case `Metropolis()` for our continuous variables and `Categorical()` for our categorical variable. We will use these sampling methods together to explore the space by using `sample( iterations, step )`, where `iterations` is the number of steps you wish the algorithm to perform and `step` is the way in which you want to handle those steps. We use our combination of `Metropolis()` and `Categorical()` for the `step` and sample 25000 `iterations` below.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Please notice that the early version of PyMC use `ElemwiseCategorical()` for categorical variable. But in PyMC, it was deprecated. But new PyMC provieds a new functions to do the categorical sampling, the `CategoricalGibbsMetropolis` optimized for categorical variables." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are another interesting thing with new PyMC. The PyMC use a powerful new sampling principle be called Hamiltonian Monte Carlo (HMC). We'll not talk too much about it here, since it's a complex physical principle. But we should know that [HMC and NUTS take advantage of gradient information from the likelihood to achieve much faster convergence than traditional sampling methods, especially for larger models. ](https://www.pymc.io/projects/docs/en/stable/learn/core_notebooks/pymc_overview.html#pymc-overview)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Please also notice the parameter `chains` of `sample()`. According to the API document, `\"Running independent chains is important for some convergence statistics and can also reveal multiple modes in the posterior.\"`. But it's unnecessary here, our model is simple enough and we use `1` here (the default value is 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "CompoundStep\n", + ">CompoundStep\n", + ">>Metropolis: [p]\n", + ">>Metropolis: [sds]\n", + ">>Metropolis: [centers]\n", + ">CategoricalGibbsMetropolis: [assignment]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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These paths are the routes the unknown parameters (centers, precisions, and $p$) have taken thus far. The individual path of each variable is indexed by the PyMC3 variable `name` that we gave that variable when defining it within our model. For example, `trace[\"sds\"]` will return a `numpy array` object that we can then index and slice as we would any other `numpy array` object. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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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 = trace1[\"centers\"]\n", + "\n", + "# for pretty colors later in the book.\n", + "colors = [\"#348ABD\", \"#A60628\"] 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 = trace1[\"sds\"]\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 = trace1[\"p\"]\n", + "plt.plot(p_trace, label=\"$p$: frequency of assignment to cluster 0\",\n", + " color=colors[0], lw=lw)\n", + "plt.xlabel(\"Steps\")\n", + "plt.ylim(0, 1)\n", + "plt.legend();\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The powerful Arviz InferenceData and APIs give us more comfortable view." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "az.plot_trace(trace2.posterior.centers,figsize=(20, 4))\n", + "az.plot_trace(trace2.posterior.sds,figsize=(20, 4))\n", + "az.plot_trace(trace2.posterior.p,figsize=(20, 4))\n", + "plt.show()" + ] + }, + { + "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*. You can use the parameter `tune` and `discard_tuned_samples (True by default)` to do 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", + "Please notice that \"Starting from existing MultiTrace objects is no longer supported\", so we should restart the sampling progress, and update draws to 50000 \n", + "\n", + "We will sample the MCMC fifty thousand more times and visualize the progress below ( ) :" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "CompoundStep\n", + ">CategoricalGibbsMetropolis: [assignment]\n", + ">NUTS: [p, sds, centers]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [55000/55000 13:01<00:00 Sampling chain 0, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 1 chain for 5_000 tune and 50_000 draw iterations (5_000 + 50_000 draws total) took 781 seconds.\n" + ] + } + ], + "source": [ + "with model:\n", + " trace3 = pm.sample(50000, step=[step3],tune=5000,chains=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "sample_data=az.extract_dataset(trace3)\n", + "center_trace_after_25000 = sample_data.centers.data[:,25000:]\n", + "center_trace_before25000 = sample_data.centers.data[:,:25000]\n", + "\n", + "x = np.arange(25000)\n", + "plt.plot(x, center_trace_before25000[0,:], label=\"previous trace of center 0\",\n", + " lw=lw, alpha=0.4, c=colors[1])\n", + "plt.plot(x, center_trace_before25000[1,:], label=\"previous trace of center 1\",\n", + " lw=lw, alpha=0.4, c=colors[0])\n", + "\n", + "x = np.arange(25000, 50000)\n", + "plt.plot(x, center_trace_after_25000[0,: ], label=\"new trace of center 0\", lw=lw, c=\"#348ABD\")\n", + "plt.plot(x, center_trace_after_25000[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": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "az.plot_trace(trace3.posterior.centers,figsize=(20, 4))\n", + "plt.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\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": 14, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(16.0, 8)\n", + "sample_data=az.extract_dataset(trace3)\n", + "std_trace_after25000 = sample_data.sds.data[:,25000:]\n", + "std_trace_before25000 = sample_data.sds.data[:,:25000]\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_after_25000[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_after25000[i,:], color=colors[i], bins=30,\n", + " histtype=\"stepfilled\")\n", + " # plt.autoscale(tight=True)\n", + "\n", + "plt.tight_layout()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "az.plot_posterior(trace3,var_names=[\"sds\"],figsize=figsize(16.0, 4))\n", + "az.plot_posterior(trace3,var_names=[\"centers\"],figsize=figsize(16.0, 4))\n", + "plt.plot()" + ] + }, + { + "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 `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": 16, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib as mpl\n", + "figsize(16, 4)\n", + "plt.cmap = mpl.colors.ListedColormap(colors)\n", + "plt.imshow(sample_data.assignment.data.T[::800, 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": 17, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cmap = mpl.colors.LinearSegmentedColormap.from_list(\"BMH\", colors)\n", + "assign_trace = sample_data.assignment.data.T\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": 18, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "norm = stats.norm\n", + "x = np.linspace(20, 300, 500)\n", + "posterior_center_means = center_trace_after_25000.T.mean(axis=0)\n", + "posterior_std_means = std_trace_after25000.mean(axis=0)\n", + "posterior_p_mean = sample_data.p.data.mean()\n", + "\n", + "plt.hist(data, bins=20, histtype=\"step\", density=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": 19, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "Metropolis: [x]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 1 chain for 1_000 tune and 10_000 draw iterations (1_000 + 10_000 draws total) took 1 seconds.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pymc as pm\n", + "\n", + "with pm.Model() as model:\n", + " x = pm.Normal(\"x\", mu=4, tau=10)\n", + " y = pm.Deterministic(\"y\", 10 - x)\n", + "\n", + " trace_2 = pm.sample(10000, pm.Metropolis(),chains=1)\n", + "\n", + "plt.plot(trace_2.posterior.x.T)\n", + "plt.plot(trace_2.posterior.y.T)\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": 20, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Probability of belonging to cluster 1: 0.00612\n" + ] + } + ], + "source": [ + "norm_pdf = stats.norm.pdf\n", + "p_trace = trace3.posterior.p.data[:,25000:]\n", + "prev_p_trace = trace3.posterior.p.data[:,:25000]\n", + "#update center_trace and std_trace from trace3\n", + "center_trace = trace3.posterior.centers.data[:, 25000:,:]\n", + "std_trace = trace3.posterior.sds.data[:, 25000:,:]\n", + "x = 175\n", + "\n", + "v = p_trace[0,:] * norm_pdf(x, loc=center_trace[:, :,0], scale=std_trace[:,:,0]) > \\\n", + " (1 - p_trace) [0,:]* 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": { + "tags": [] + }, + "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 a function that will approximate, if not find, the MAP location. In the PyMC main namespace is the `find_MAP` function. If you call this function within the context of `Model()`, it will calculate the MAP which you can then pass to `pm.sample()` as a `start` parameter.\n", + "\n", + " start = pm.find_MAP()\n", + " trace = pm.sample(2000, step=pm.Metropolis, start=start)\n", + "\n", + "The `find_MAP()` function 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 function call is the Broyden-Fletcher-Goldfarb-Shanno ([BFGS](https://en.wikipedia.org/wiki/Broyden-Fletcher-Goldfarb-Shanno_algorithm)) algorithm to find the maximum of the log-posterior. As an alternative, you can use other optimization algorithms from the `scipy.optimize` module. For example, you can use Powell's Method, a favourite of PyMC blogger [Abraham Flaxman](http://healthyalgorithms.com/) [1], by calling `find_MAP(fmin=scipy.optimize.fmin_powell)`. The default works well enough, but if convergence is slow or not guaranteed, feel free to experiment with Powell's method or the other algorithms available. \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", + "#### Speaking of the burn-in period\n", + "\n", + "It is still a good idea to decide on a burn-in period, even if we are using `find_MAP()` prior to sampling, just to be safe. We can no longer automatically discard sample with a `burn` parameter in the `sample()` function as we could in PyMC2, in new PyMC (v4), it's change to the new paramter `tune` and `discard_tuned_samples`. It provides number of iterations to tune, defaults to 1000. Samplers adjust the step sizes, scalings or similar during tuning. Tuning samples will be drawn in addition to the number specified in the `draws` argument, and will be discarded unless `discard_tuned_samples` is set to `False`. The old `start` parameter also changed to `initvals`, and can now do more. The new code would look something like:\n", + "\n", + " with pm.Model() as model:\n", + " start = pm.find_MAP()\n", + " \n", + " step = pm.Metropolis()\n", + " trace = pm.sample(100000, step=step, initvals=start, tune=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, $x_t$, 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": 21, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "\n", + "x_t = np.random.normal(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] = np.random.normal(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 it's 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": 22, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def autocorr(x):\n", + " # from http://tinyurl.com/afz57c4\n", + " result = np.correlate(x, x, mode='full')\n", + " result = result / np.max(result)\n", + " return result[result.size // 2:]\n", + "\n", + "colors = [\"#348ABD\", \"#A60628\", \"#7A68A6\"]\n", + "\n", + "x = np.arange(1, 200)\n", + "plt.bar(x, autocorr(y_t)[1:], width=1, label=\"$y_t$\",\n", + " edgecolor=colors[0], color=colors[0])\n", + "plt.bar(x, autocorr(x_t)[1:], width=1, label=\"$x_t$\",\n", + " color=colors[1], edgecolor=colors[1])\n", + "\n", + "plt.legend(title=\"Autocorrelation\")\n", + "plt.ylabel(\"measured correlation \\nbetween $y_t$ and $y_{t-k}$.\")\n", + "plt.xlabel(\"k (lag)\")\n", + "plt.title(\"Autocorrelation plot of $y_t$ and $x_t$ for differing $k$ lags.\");\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that as $k$ increases, the autocorrelation of $y_t$ decreases from a very high point. Compare with the autocorrelation of $x_t$ which looks like noise (which it really is), hence we can conclude no autocorrelation exists in this series. \n", + "\n", + "\n", + "#### How does this relate to MCMC convergence?\n", + "\n", + "By the nature of the MCMC algorithm, we will always be returned samples that exhibit autocorrelation (this is because of the step `from your current position, move to a position near you`).\n", + "\n", + "A chain that is not exploring the space well will exhibit very high autocorrelation. Visually, if the trace seems to meander like a river, and not settle down, the chain will have high autocorrelation.\n", + "\n", + "This does not imply that a converged MCMC has low autocorrelation. Hence low autocorrelation is not necessary for convergence, but it is sufficient. PyMC has a firenew plotting library Arviz. Plots, a general purpose library for “exploratory analysis of Bayesian models”. And we've already seen some arviz plot examples above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Thinning\n", + "\n", + "Another issue can arise if there is high-autocorrelation between posterior samples. Many post-processing algorithms require samples to be *independent* of each other. This can be solved, or at least reduced, by only returning to the user every $n$th sample, thus removing some autocorrelation. Below we perform an autocorrelation plot for $y_t$ with differing levels of thinning:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "max_x = 200 // 3 + 1\n", + "x = np.arange(1, max_x)\n", + "\n", + "plt.bar(x, autocorr(y_t)[1:max_x], edgecolor=colors[0],\n", + " label=\"no thinning\", color=colors[0], width=1)\n", + "plt.bar(x, autocorr(y_t[::2])[1:max_x], edgecolor=colors[1],\n", + " label=\"keeping every 2nd sample\", color=colors[1], width=1)\n", + "plt.bar(x, autocorr(y_t[::3])[1:max_x], width=1, edgecolor=colors[2],\n", + " label=\"keeping every 3rd sample\", color=colors[2])\n", + "\n", + "plt.autoscale(tight=True)\n", + "plt.legend(title=\"Autocorrelation plot for $y_t$\", loc=\"lower left\")\n", + "plt.ylabel(\"measured correlation \\nbetween $y_t$ and $y_{t-k}$.\")\n", + "plt.xlabel(\"k (lag)\")\n", + "plt.title(\"Autocorrelation of $y_t$ (no thinning vs. thinning) \\\n", + "at differing $k$ lags.\");\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With more thinning, the autocorrelation drops quicker. There is a tradeoff though: higher thinning requires more MCMC iterations to achieve the same number of returned samples. For example, 10 000 samples unthinned is 100 000 with a thinning of 10 (though the latter has less autocorrelation). \n", + "\n", + "What is a good amount of thinning? The returned samples will always exhibit some autocorrelation, regardless of how much thinning is done. So long as the autocorrelation tends to zero, you are probably ok. Typically thinning of more than 10 is not necessary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### `Arviz`\n", + "\n", + "It seems silly to have to manually create histograms, autocorrelation plots and trace plots each time we perform MCMC. The authors of PyMC have included a visualization tool for just this purpose. \n", + "\n", + "The `arviz` library contains a lot of different plotting functions that you might find useful. For each different plotting function contained therein, you simply pass a `trace` returned from sampling as well as a list, `varnames`, of the variables that you are interested in. This module can provide you with plots of autocorrelation and the posterior distributions of each variable and their traces, among others.\n", + "\n", + "Below we use the tool to plot the centers of the clusters." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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wtFi2b4zBdceDUC4C99sv6ZwCERERKTI2+RT228+gXRdMw2aOZDB1GkDrTthvZ2BTTzuSQaSoqZiUS7InjmGXzcck9MdExRTbfkxEBVx3/gEO7MF++kGx7UdEREQCi/3iI8g6i+vGOxzN4Rp4G6SlYr/93NEcIkVFxaRc0rnhGKbv9cW+L9OiHabXNdjZM7EbVxf7/kRERMS/2cMHsAu+wfS4CnNFdUezmBp1Me27Yed8gU1JcjSLSFFQMSm/yp5Jxf7wLaZ9d0x08R2VPJ+5+S6oVtMzu+vp5BLZp4iIiPgn+79pEByCGXCr01EAMNf/BjIzsF9/6nQUkcumYlJ+lV3xA6SnlchRyXNMaCiuEY9ASjLuSa9irc1zvQkTJnDrrbfSqFEjYmNj2bdvX651Jk2axJAhQ2jVqhWNGzdm4MCBzJ8/P9d6GRkZPPPMM7Rs2ZK4uDiGDRuW5/ZERETEd9hjh7HL52N6XI2pUMnRLOf6LY179qXW/1aw93+fYBNP5lpv8uTJdOvWjbp165KQkMAnn3ySa50DBw5wzz330KhRIxo3bsz999/P8ePHS+JhiOSgYlJ+lV08B2JrQ52SuRbTOaZWfcwNt8OPi7GLv89znQ8//JDs7Gy6dOly0e1MnDiRWrVq8Y9//IM333yTOnXqcPvtt/Ptt9/mWG/kyJFMmzaNkSNH8uabb3Lq1CmGDBlCenp6kT4uERERKTn228/A5cL0u8HpKLn7LdnZ2K8+zrHO559/zhNPPME111zDe++9R8+ePXnooYf46qtfrk+ZlZXFsGHD2LZtGy+99BJjx45l3bp1DB06lOzs7JJ8SCIEOx1ASi97aB/s3IIZfFeRXlcyv0y/G7A/rcL+901sk5a5Jv9ZsWIFLpeL7777LldxeM4333xDVFSU9+8ePXqwa9cu3nzzTfr16wfAwYMH+eijjxg/fjyDBw8GoEmTJsTHx/Ppp59y2223FdMjFBERkeJiE09iF87GdOmDqRTtdJxc/RbTvit2wdfYq2709nHGjx/PTTfdxF/+8hcAEhISOHDgAGPHjqV///4AzJo1i23btjF//nzq1fNcrq1+/fpceeWVfPXVVwwYMMCZBygBSUcm/dzDDz9M//79mT17Nj179qR+/foMGzaMU6dOsWvXLgYNGkRcXBz9+/dn48aN3vu53W7+/cxous9bT/3f/ZFu3boxbdq0HNuePXs2Q4YMoWXLljRq1IgBAwbkGkI6fvx4mjdvzvr16xkwYAD169enX79+LFu27JLZjSsI110Pgc3GPfXtXLe7XJd++p5fSJ7TvHlzTpw44f17wYIFAFxzzTXeZdWqVaNDhw7MnTv3kvsQERGRonFZ/ZZ//5uuXbtSt25dT7/l+WcgOxtz1U1A8fdbLuXCfovpNQAs2P9NByAtLY1du3bRvXv3HOv16NGDLVu2eE+/2bBhAzVq1PAWkgBNmzYlJiaGOXPmXHZOkYJQMRkADhw4wLhx43j88cd58cUXWbVqFY8//jgPPPAAAwcO5M033yQrK4sHHnjAe37iX596iolfzea2jq15/4MP6N+/P48++ijfffedd7v79u3jyiuvZOLEibz11lu0b9+eoUOHsmLFihz7T0tL4+GHH2bYsGG89dZblClThuHDh5OWluZdx+12k5WVlesnOzKa7KsHkbVyMVlrlhdJe6xatYoGDRp4/96+fTvVqlWjXLlyOdZr0KAB27dvL5J9ioiISP4Uqt/y17/yz3/+k9tvv53333+fq6+8kscmf8zs8ldgqlQDSqbfkqMPc4khp6ZSNKZHP+yi77DHDpORkYG1ljJlyuRYLzQ0FMDbJ8nIyCAkJCTX9sqUKcO2bdsK2Noil0fDXANAYmIiM2fOpE6dOgBs2rSJ1157jZdfftk7rNNayx133MH27dsJDg7mg0mTGNeiNrc+8himXRd69OjBkSNHmDBhAldeeSUAd911l3cfbrebLl26sHXrVv773//SoUMH723p6ek8/fTTdOvWDYAqVapw1VVXsXTpUmrWrAnAI488wvTp03/1cXReew8fL1+NyccRyYv56KOPWL9+PaNGjfIuS0pKokKFCrnWrVixIklJmrZbRESkJBWq3/LBB7z00kvccsstAHRzn+bI/z7mn2u2ctXP2y2KfkuvXr2A/PVb4uPj+fjjj391HXPNYOzC2dhZU4m86yEiIyNZs2YNAwcO9K6zevVqb7sA1KlTh3379nHy5EnvCKzDhw9z+PDhXIWoSHFTMRkAatas6X1DBry/d+3aNdeyQ4cOsWfPHlzA1fVqkNW0DSYrC4Bu3boxY8YMsrOzCQoK4uDBg/zjH/9g4cKFHDlyxPvt4PlvyAAhISE5Jslp2LChd1/nPProozne5C/kXv8j5Wb9F7tyIaZjjwK3AcC6dev461//yvDhw3M8diDPc0KttY6cKyoiIhLICtVvcbno378/WVlZWLcb93cz6Nq4ATPnryrxfktkZCSJiYm5RjzlxURGYxL6e6472f9mhg0bxn/+8x86dOhAly5dmDdvnnc213PDZG+44QZefPFFHnvsMcaMGYPb7eaJJ54AICgo6JL7FClKKiYDwIVH3c4NjahYsaJ32blvsjIyMjh55DDZ1tLs84Xwee5ZXI8cOULVqlW56667OH36NI899hh16tQhPDyccePG5Zqaunz58jnOEzh/X+fExsZSrVq1iz4G26QJdssq7Mz/Ytt3xbgK9ma5Z88e7rjjDrp168bo0aNz3FaxYkWSk3NfzzI5OTnPI5YiIiJSfArcbzl5kuzsbBo3bpzn9kq631K5cmWOHz+e7y+kTf+bPRPxfPERDz30ELt27eKee+4BPIXpo48+ypgxY4iJ8UzSExUVxb///W8ee+wxOnbsCMDVV19N7969OX36dL72KVJUVExKLhUTjxFs4LO3Xieoeq1ct1euXJldu3axfv16PvzwQ++QDyDH+QQFka9hrs2bMq1WGKxdAW0653vbx48f57bbbqNGjRq89tprub61i4uL4+DBg5w5c4bw8HDv8u3btxMXV7KXRBEREZGCiYyMJDg4mM8//xyXy0X2lNfh2GFcD47EBAU51m/JzzBXAFMhEtNnAPbrTyl7zWDeeOMNjh07xokTJ6hTpw6zZ8+mTJkytGjRwnufvn37snLlSnbu3En58uWpXr06vXv3pm/fvoV6PCKFpWJScumSkUi2hZTwCiS0apXnOueuv3j+2Pz9+/ezcuVKmjRpUuB9XmqYK0C5sDB450Xc331OUD6LydTUVIYNGwbA+++/T1hYWK51evTwDJv96quvuPnmmwHPuQfLly/n+eefL8jDEBERkRLWtWtXsrOzSUlJoXv9OrhPHsAMGoarbVvvOiXZbynIMNdzzFU3Yed9hXvmFILuf5KYmBhiYmJwu91MmjSJa6+9loiIiBz3CQ4O9g7BXbJkCdu3b+fNN98s8GMRuRwqJiWnk8eon3iYob2688ADD/DAAw/QsmVLMjIy2Lp1Kzt37mTcuHHExcVRrVo1nn32Wf70pz+RmprKuHHjqFq1aqF2W7NmTe9kPL/G3ec67LT/YHdvY+mh45w4cYKffvoJgO+//57o6GgaNmzofXMdMWIEmzZtYsKECezevZvdu3d7t9WuXTsAqlevzpAhQxg9ejTWWqKjoxk/fjyxsbHcdNNNhXo8IiIiUjLi4uIYNmwY999/P/fHt6FFUhpn3aFsffVVR/ot54a5XmjJkiW/2m8xfa/nu7df52BaMA06xnPixAkmT57Mjh07ePnll3Nsa8yYMXTo0IHw8HDWrFnDxIkTeeihhzSiSkqciknJwW5aCy4Xz7/yKvWnfcKUKVMYN24c5cuXp2HDhgwZMgTwTFP99ttv89RTT3HvvfdStWpV/vCHP7BkyRK2bNlSbPlMtyuxMyZj53/N+C/ms2TJEu9t5y7w+8gjj/Doo48Cv1xD8sEHH8y1rQMHDnh/HzNmDOHh4TzzzDOkpaURHx/Pq6++StmyZYvtsYiIiEjReP7556lXswaTJ77M+DMZlN/8VKnot5xv/Pjxv9pvMX0HEjz5Az784AN2v/I6ZcuWJSEhgQkTJuQ6P3P//v1Mnz6dlJQU6tWrxzPPPMPtt99eIo9D5HzGnpvKqpAOHjyYa9nFvpEJZL7QJvbsWdyP3wUNmhL0wF9KZJ+FaRf3e//ErlyMa9x7mLK5h636A194vjhB7ZI3f2uX6tWrOx3B5+X12RwI/O214ARfbkP33C+xU17H9ZdxmLoNHctxOW3o/nI69rNJuP78IqZ+3hMKBQpffi6WFkXZhhf7bC78BfvE79g1S+F0Mq4eV116ZQeZbldCRhp25UKno4iIiEgpYK3Fzv8KatWHOg2cjlNopvcAKBeB++tPnY4iki8qJsXLLvgGoqtA09ZOR/l19ZtA1Vjswu+cTiIiIiKlwfZNcGAPpmd/n75GtCkbhknoD2uXYY8E5ggD8S0qJgXA84a1eR2me78CX8OxpBljMN36wY7N2EP7nI4jIiIiDrPzvoSwcpiOPZyOctlM72shKAg7e4bTUUQuScWkAGB/+AZcLkzXPk5HyRcT38vzRrtottNRRERExEE2ORG7ajGmS29MqO9PnGcqVsJ06oldPAebkux0HJFfpWJSsGfPYhfNgVYdMZHRTsfJF1MhEpq1xS5bgHW7nY4jIiIiDrGLZkN2FibhaqejFBlz5Q2Qmek5D1SkFFMxKT4z8c6FTKcESDwB2zY4HUVEREQcYN3Z2PlfQ6MWmGqXvl61rzCxtaBpG+yCb7DZ2U7HEbkoFZPiOxPvXMC06gShZbHL5jsdRURERJyw/kc4cRRXz/5OJylyroSr4dRx+GmF01FELkrFZIDzpYl3LmRCQzFtOmNXLcKePet0HBERESlh7nlfQcVK0Lqz01GKXquOEBnteYwipZSKyQDnaxPvXMh0SoAzqbB+ldNRREREpATZUydg/Y+YLn0wwcFOxylyJigI070fbFiNPXrI6TgieVIxGcB8ceKdXJq0hoiKuJfNczqJiIiIlCC75Huwbky3vk5HKTamez9wubALvnY6ikieVEwGMF+deOd8JigI06E7rF2BPZPqdBwREREpAdZazxfiDZthqlR3Ok6xMZWioWVH7JK5mohHSiUVkwHMLpwNUTE+N/HOhUzHHpB1Frt6idNRREREpCRs3wRHD2K6+u9RyXNcXXtDciJs+NHpKCK5qJgMUPbUCdi0FhPfy+cm3smlXiOIqapZXUVERAKEXfQdhIZh2nV1Okrxa94OylfALv7e6SQiuaiYDFB2+XzPeQadezkd5bIZYzwT8Wxeh0086XQcERERKUY2/Qx25SJMx+6Y0LJOxyl2JjgE0ykBu3YZNvW003FEclAxGYCstZ5vt+o1wlSNdTpOkTDtu4O12NVLnY4iIiIixciuXAQZ6ZguvjkTfWGY+F6QlYVd8YPTUURyUDEZiPbthIN7PW9M/qJ6Tagai/1xsdNJREREpBjZRbOhaizUb+x0lJJTqz5Ur+WZwVakFFExGYDskrkQHOyZBdVPGGMwbbvA1vXYlGSn44iIiEgxsIf3w/ZNmK59McY4HafEGGMwXXrDzi2eNhApJVRMBhjrdnuGhzRvhykX4XScImXadgG323PJExEREfE7dslcMC6/mPOhoEynnmBcnjYQKSVUTAaaPTsg8QSmTbzTSYperXoQXUXnTYqIiPgh63Z7Zm5v0goTGeV0nBJnIqOgWWvs0nlYt9vpOCKAismAY9csBZcL07K901GKnGeoazxsXIM9k+p0HBERESlKOzbDiaOYzj2dTuIY07kXnDwG2zY6HUUEUDEZcOzqpdCgGaZ8BaejFAvTtgtkZ2HXrXA6ioiIiBQhu2welCmDadPJ6SiOMa07Q2gYdqmGukrpoGIygNijB+HQPkxrP34TrtcIIqM0q6uIiIgfsVlnPdeWbNUJUzbc6TiOMaGhmLbx2FWLsJkZTscRUTEZSOyG1QCYlh0cTlJ8jMuFadMZNvyIzUh3Oo6IiIgUhQ2rITXFMwlNgDPxvSDtDHatRmGJ81RMBhC7YTXEVMVUqeZ0lGJlWneGzEzYtNbpKCIiIlIE7LL5UD4CmrVxOorzGjX3jMLSUFcpBVRMBgiblQWbf8I0be10lOLXsBmEhWPXLnc6iYiIiFwmm3YGu2YZpn13THCw03EcZ1xBmE4JnlFYKUlOx5EAp2IyUOzcAhlpmKb+/42eCQ7BNGuLXbdCU2eLiIj4OLt6CZzN9BRQAvw8q2t2Nnb5D05HkQCnYjJA2I2rweWCxi2cjlIyWnWE5ETYvc3pJCIiInIZ7LL5UPkKqN/Y6SilhqlRB2rU1VBXcZyKyQBht22A2nGY8PJORykRpkU7cLk01FVERMSH2eRTsGkdpmMCxhin45QqJr4n7N6GPbzf6SgSwFRMBgCblQW7t2EC6Bs9Uy4C4pqqmBQREfFh9sclYN2YDt2cjlLqmI4JYFzYJfOcjiIBTMVkINi/CzIzA6qYBDCtOsKBPdjjR5yOIiIiIoVgVy6CqjUgtrbTUUodExkFTVphl83THBHiGBWTAcDu2Oz5pV4AFpOg6zCJiIj4IJt8CrZuwLTvpiGuF2Hie8KJo7B9o9NRJECpmAwEOzZDVGVMVGWnk5Qoc0V1qFoDu3aZ01FERESkgLxDXNt3dTpKqWXaxENoWezSeU5HkQClYjIA2B2bMfWbOB3DEaZVB9i6AXsm1ekoIiIiUgB25SKoVhOq13I6SqllQsti2sRjVy7Cns10Oo4EIBWTfs6eOgEnj0G9Rk5HcYRp1Qmys7AbVjsdRURERPLJJp2Cresx7bpqiOslmPiekJYKmnRQHKBi0t/t9JwvGahHJqnfCMpHwDq9wYqIiPgKzxBXi2mvWVwvqXFLiIzCraGu4gAVk37Obt8MZcpAzbpOR3GEcQVhWrTHrluJzc52Oo6IiIjkg125EKrVxMRqiOulGFeQ5zIh61dhU5KcjiMBRsWkn7M7NkHtOExwsNNRHGNadYQzp2HHJqejiIiIyCXYpFOwbYMm3ikAE98LsrOxyxc4HUUCjIpJP2bPZsLenYE7xPWcZm0gOBircwlERERKPfvjYs8Q13Ya4ppfpkYdqFUPu/h7p6NIgFEx6c/2bIfsLEz9wLq+5IVM2XBo1ELXmxQREfEBGuJaOCa+N+zdgT2wx+koEkBUTPoxu8Mz+U6gzuR6PtOqIxw5gD283+koIiIichE28SRs26ghroVgOiVAUJCOTkqJUjHpx+yOzVClGqZCpNNRHGdadgTQUFcREZFSzK5eoiGuhWQiKkLzdthl8zTpoJQYFZN+yloLOzZj6gX2ENdzTHQM1KirYlJERKQUs6sWa4jrZXB16Q1Jp2DjGqejSIBQMemvjh+B5EQI8PMlz2dad4Ttm7Gnk52OIiIiIhewyadg6wZMOw1xLbQWHaBcBHaJhrpKyVAx6afOnS9p4lRMnmNadgTrxv60yukoIiIicgH741Kwbky7Lk5H8VkmJATTsTt29VJs2hmn40gAUDHpr3ZshrJhUF3DRLxq14eKUdi1y5xOIiIiIhewPy6GK2IhtrbTUXya6ZgAWWfV35ESoWLST9kdm6BuQ4wryOkopYZxuTCtOsCG1dizZ52OIyIiIj+zKUmw5SdMuy4YY5yO49vqNYKoytgVC51OIgFAxaQfsulpsH8Ppn4Tp6OUOqZlR0hPg83rnI4iIiIiP7NrloFbQ1yLgnG5POedbliNPXPa6Tji51RM+qNdWz3nHNTX9SVzadpaJ6aLiIiUMnbVIoipCjXrOR3FL5gO3SE7C7taQ12leKmY9EN25xbPL/VUTF4ox4np+rZORETEcTY1BTavw7TVENciU6cBRFfBrvzB6STi51RM+iG7YzNUr4UJL+90lFLJdOnjOTF9pc4lEBERcZpdsxyyszHtdUmQomKMwbTvBpvW6pJoUqxUTPoZ63bDjs0YXV/y4mrHQfVa2MUa6ioiIuI0u2oRRFfxfD5LkfEMdc32nI8qUkxUTPqbIwfhzGlQMXlRxhjP0ckdm7GH9zsdR0REJGDZM6mwcY1mcS0Otep5hrquWux0EvFjKib9jN2xCQBTT8XkrzGde4LLhf3hO6ejiIiIBCy7djlkZ2HaahbXomaM8czqummt5omQYqNi0t/s2AzlIuCK6k4nKdVMxUqYNvHYhd9hMzKcjiMiIhKQ7KpFUKky1G3odBS/ZNp18czqunaF01HET6mY9DN2x2ao1wjj0n/tpZjeA+DMaeyyeU5HERERCTg27QxsWI1pG69+S3Gp2xCiKnuKdpFioFeuH7Gpp+HQPk2+k18NmkLNutjvZ2GtdTqNiIhIQLHrVkDWWc9QTCkWxhjPEOINqz3Fu0gRUzHpT36+vqSKyfwxxniOTh7YA1vXOx1HREQkoNgVP0BktCYNLGambRfPJdHWaairFD0Vk37E7twMLpfnQrWSL6ZjDygfgXvOF05HERERCRg2NQXW/4jp0E1DXItb/cZQMQr7o2Z1laKnV68fsTs2Q406mLJhTkfxGaZMKKZ7P1izHHviqNNxREREAoL9cYlnFteOPZyO4veMy4Vp2xnWr8JmpDsdR/yMikk/Yd3ZsHOrhrgWgkm4BgzYuf9zOoqIiEhAsMsXQJVqUDvO6SgBwbTrCpmZsH6V01HEz6iY9BcH9kJGGtRv4nQSn2OiYzyXCfnhW31jJyIiUsxs4knY8hOmYw+MMU7HCQwNmkJERewqDXWVoqVi0k/YHZsAMPUaOZzEN5m+18OZVOyS752OIiIi4tfsyoVgrYa4liDjCsK06YxdtwKbqetrS9FRMekvdmyGipWg8hVOJ/FN9RtDnQbYOV9g3W6n04iIiPgtu3wB1KiLqVbT6SgBxbTrAhnpsGG101HEj6iY9BN220ao30TDRQrJGIPpcx0cPqA3WRERkWJijx2GXVt1VNIJDVtAuQjN6ipFSsWkH7CnTsCJo5gGOl/ycpj2XaFiFO7ZM52OIiIi4pfs8gUAmI7dHU4SeExwMKZ1J+za5dizZ52OI35CxaQfsNt/Pl+yflOHk/g2ExyC6XUNbFyNPbjX6TgiIiJ+x674Aeo3xkRXcTpKQDLtukDaGdi0xuko4idUTPqDHZugTCjUrOt0Ep9nelwFwSHYObOcjiIiIuJX7IE9cGCPhrg6qXErCCunWV2lyKiY9AN2+yao2xATHOx0FJ9nIipiOvfELv0ee+a003FERET8hl2+AIzLc1qJOMKEhGBadcSuWYo9m+l0HPEDKiZ9nE1Pg307MXE6X7KomISrITMTu2yB01FERET8gnW7scvmQ5NWmAqVnI4T0Ex8T8/l0FYvdTqK+AEVk75u11ZwuzFxOl+yyNSOg1r1sAu+xlrrdBoRERHft32jZ7LA+F5OJ5HGrSC6Cnbhd04nET+gYtLH2W0bwRio18jpKH7DGIPpfhXs3w27tzkdR0RExOfZJXMhNAzTprPTUQKecbkw3frCprWeS7WIXAYVkz7O7tgEsXUw4eWcjuJXTKcEKBOK/eFbp6OIiIj4NJuZgV25ENOuCya0rNNxBDBd+oBxYRfOdjqK+DgVkz7MZmfDji06X7IYmLBwTIfu2OULsOlnnI4jIiLis+yaZZCehunS2+ko8jMTFQPN22IXz/b0J0UKScWkLzuwGzLSQMVksTDd+0FGOnbFQqejiIiI+Cy75HuIioEGzZyOIudx9egHiSdhzTKno4gPUzHpw+y2TQCafKe41GsEVWOxi+c4nURERMQn2cSTsGENpnMvjEvdzlKlZQeofAXu2TOdTiI+TK9qH2a3rIPoKpjoGKej+CVjDKZLX9i+CXv4gNNxREREfI5dPh+s23M5CilVjCsI02cAbN+I1YSDUkgqJn2Udbth6wZM4xZOR/FrJr4XuFw6OikiIlIIdslcqNsQU7WG01EkD6brlVA2DKujk1JIKiZ91f7dkJoCjVs6ncSvmcgoaNYWu2Qu1q0T1EVERPLL7t0J+3dr4p1SzISFY7pdiV25EHvqhNNxxAepmPRRdvM6AEwjFZPFzdW1LySegI1rnI4iIiLiM+ziORAcjOnQ3eko8itM7wHgtti5s5yOIj5IxaSPslt+gitiMZWinY7i/1p1gPIR2EUa6ioiIpIf9uxZ7NJ5mDbxmHIRTseRX2FiqkKbztj5X2PT05yOIz5GxaQPstnZsHU9ppHOlywJJjgE06knds1SbGqK03FERERKPbtmKaSmYLr1dTqK5IOr3w1wJlVfnEuBqZj0RXt3QHoaaPKdEmO69IGsLOyy+U5HERERKfXswu8gugo0buV0FMkHU78x1G+MnT1Dc0RIgaiY9EF2808AmEbNHU4SOEytelCzrr6xExERuQR74ihsWovp0kfXlvQhrn43wPEjsHqp01HEh+gV7oPspjUQWxtToZLTUQKK6doX9u7A7t/ldBQREZFSyy6aDfz8uSm+o3UniKmK+9vPnU4iPkTFpI+x6Wc815ds3s7pKAHHdEyAoGAdnRQREbkI6872fE42aY2JjnE6jhSAcQVhrhwIO7dgt29yOo74CBWTvmbTOsjOwrRo73SSgGMiKkDrjtil87BZZ52OIyIiUvpsWgcnj2G6Xel0EikE06UPhJfH/e1nTkcRH6Fi0sfYn1ZCWDjUb+x0lIDk6toXTifDupVORxERESl17A/fQvkITOtOTkeRQjChZTE9+8OaZdijB52OIz5AxaQPsdZif1oFTVtjgoOdjhOYmraBilG4F2uoq4iIyPlsSjJ2zTJMp56YkBCn40ghmV7XQlAQdvZMp6OID1Ax6Uv274bEExri6iATFISJ7wU/rcQmnXI6joiISKlhl831nIqjIa4+zURGYTolYBfNxp5OdjqOlHIqJn2I/ckztNI0a+twksBmuvYBtxu7dJ7TUUREREoFay124Wyo0wBTo47TceQymStvgMxM7PyvnY4ipZyKSR9if1oJtephIqOKbR9ff/01ffv2pW7dunTu3Jk33njjV9cfNWoUsbGxPPvsszmWb9++nQEDBtC4cWPuv/9+UlNTc9y+dOlS2rVrx+nTpy+ZaerUqcTGxubaBsD48eNp3vyX623u27eP2NhY709cXBxdunThwQcfZNmyZbnu//DDD9O/f/9LZjifqVrDc2HfRbOx1hboviIiIn5p9zY4sKdEj0qWdJ8lr37IhaZOnUpoaGip6bMUlomtDc3aYL+fhT2rSQfl4lRM+gibeAJ2bMa07lxs+1ixYgUjRoygdevWvPfee9x66608//zzvPXWW3muv3XrVqZOnUpERESu2x5++GHq1KnD66+/zrZt25g4caL3NrfbzejRo/nzn/9M+fLli+WxjBw5kpkzZzJp0iQeeughTp06xU033cRLL71UJNs3XfrAoX2wc0uRbE9ERMSX2YXfQZkymA7dS2R/TvRZypUrVyyPpbj7LIXl6ns9JCdiVy9xNIeUbprFxUfYVUvAWkz7rsW2jwkTJtCxY0fGjRsHQEJCAklJSbz88svceeedlClTJsf6I0eOZPjw4XzyySc5lqemprJ69Wref/99oqOjSUpK4o033uDJJ58E4L///S8hISEMGjSo2B5L/fr1adfOcy3O+Ph4br31VsaOHcv48ePp3LkzXbp0uaztmw7dsdPfwX7/P4xm1hURkQBmM9Kxyxdg2nXFhBdPwXUh9VlKQNM2UPkKz1DXjj2cySClno5M+gi7aiFUr4WpVrPY9rFhwwa6d8/5jWJCQgKJiYmsWrUqx/JZs2axfft2HnzwwVzbyczMBKBs2bIAhIWFeZelpKQwduxYnnnmGYwxxfEwLuqRRx6hatWqTJo06bK3ZcLCMd37YVf+gD15rAjSiYiI+Ca7ahGkp5XoEFf1WYqfcbkwPa6Greuxh/Y5lkNKNxWTPsAmnoTtmzDtiu+oJEBGRgYhF0zlfe6bvW3btnmXpaWl8eyzz/Lkk08SHh6eazuVKlWiVq1avPPOO5w6dYrJkyfTqlUrAF5++WW6d+/u/QauILKzs8nKysrx43a7833/oKAgunTpwo8//ljgfefF9LkOLNjvZxXJ9kRERHyRXfgdVKkODZqV2D7VZykZpmsfCArGLvjG0RxSemmYqw+wPy4u9iGuAHXq1GHt2rU5lq1ZswaAxMRE77J///vfVKlShZtvvvmi23ruuee49957+fvf/07dunV5/vnn2bVrFx999BHfffddofI1adIkz+WVKlXK9zaqV6/O8ePHC7X/C5noKph2XbALvsUOuBVTNveHlIiIiD+zhw/Ato2Ym+4o0aN36rOUDFMhEtM2Hrt4DvbGYZgyoY7mkdJHxaQPsKsWQbWamOq1inU/w4YN48knn2Ty5Mlce+21rFmzxjszWlBQEAB79+7l9ddfZ9q0ab/6odG7d2/WrVvHwYMHqVOnDkFBQfz2t79lxIgRVK9enffee49XXnmFoKAg7rvvPn77299eMt+nn37qHYZyzuTJk/nyyy/z/RiLevZVc+VA7MqF2IXfYfoOLNJti4iIlHZ20WxwuTDxvUt0v070WQB+//vf+2yfpbBMQn/sih+wKxd6JiAUOY+KyVLOnjzm+cZvwJBi39eQIUPYuHEjTz75JI8//jhhYWE89dRT/PWvf6Vy5coAPP/88/Tu3Zu4uDiSkpIAz0xnmZmZJCUlUaFCBe8bdlhYGPXr1wdgwYIFbNy4kddee40NGzYwduxYZsyYQWRkJD169KBjx440bdr0V/M1b94810xqs2fPLtBjPHTokPexFAVTrxE0aIr9dga25zWY4JBL30lERMQP2Oxs7JLvoUX7Yr1sWV6c6LMAXH/99T7bZym0hs2gag3PRDwqJuUCOmeylLNL53mGuMb3KvZ9BQUF8dxzz7Fu3Tpmz57N2rVradu2LYD3fIEdO3bw5Zdf0rRpU+/PwYMHeffdd2natCmHDh3Ktd2srCyefvppnnrqKcLCwliyZAldunQhLi6Oxo0b07VrV5YuXVrsjy8rK4vFixcX6tyHX+O6ZjCcOu75vxIREQkUP62EpFO4uvUt8V070WeJi4vz+T5LYRhjMAlXw84t2L07nY4jpYyOTJZi1lrs4u+hQVNMTNUS229kZCSRkZEAvP/++7Rv3564uDgAxo0bl+tCvA888ACdO3fmjjvuIDo6Otf2Jk2aRMWKFRk48JdhoOnp6d7f09LSSmQox4QJEzh8+DDDhg0r2g03awu16mO/+gTbpTfGFVS02xcRESmF3Au/gwqR0Ly9YxnUZykZJr439tMPsPO/xgx7wOk4UoqomCzNdm6BIwcwV91YIrtbtWoVK1asoGnTppw+fZrPP/+c+fPn89lnn3nXOTfD2flCQ0OpXr16ntdBSkxM5KWXXmLKlCneZZ07d+a5557jo48+onz58ixatMh7PaeismPHDqKiojh79ix79+5l5syZzJ07l0cffZT4+Pgi3ZcxBtc1g3G//nfsqiWYDt2KdPsiIiKljU08AT+txFx5Aya45LuTTvRZAJ/vsxSWKVce074bdtl87ODfatJB8VIxWYrZJd9DmTKY9iVTnISEhDBz5kzGjx+Py+WiY8eOfP755xedkSw/xo8fT79+/WjRooV3WfPmzXnqqaf4xz/+gcvlYuTIkTRrVrTTiY8ZMwbwXDeqSpUqtGvXjk8//ZROnToV6X682nT2nE/w5XRs+64lfj0qERGRkmR/+A7cbkyPfo7s34k+C+AffZZCMglXY5d8j122wDPsVQQw9jKP1R88eDDXssqVKzs+lXFpU9A2sWczcT92J6Z5e1z3PFqMyZzlT88V9+I52Hf/iev/RmJadrisbflTuxQltUve/K1dqlev7nQEn5fXZ3Mg8LfXghPy04Y2Oxv3n0dA9VoE/fGZEkrmO/z1eWitxf3sw+AyuP46odi/OPfXdixJRdmGF/ts1gQ8pdXa5XAmFdO1ZKfalsIzHRMgKgb3l9NLzXTeIiIiRe6nFZB4AlfP/k4nkRLknYhn707Yvc3pOFJKqJgspdyLv4fIaGjc0ukokk8mOBhz9U2wYzNs3eB0HBERkWLhnveVp49ymaNwxPeYTgkQWhY7/yuno0gpoWKyFLLJp2DDj5j4npoZ1MeYrn2hQiTuL6c7HUVERKTI2aOHYMNqTPd+mCD1UQKNCQvHdErArvgBe+a003GkFFAxWQrZpfM9J7XH68KwvsaUCcVcORA2rsZqCIiIiPgZu+BrcLkw3Z2ZeEecZxKuhsxM7JJ5TkeRUkDFZClkl3wPdRtiqtVwOooUgknoD+HlcH/1sdNRREREiozNyMAumg2tO2Eq5b5GowQGU6s+1G2Inf+V5ogQFZOljd27E/bvxsRr4h1fZcLCMb0HwI9LsAf2Oh1HRESkSNglc+B0Cq6+A52OIg4zPa6CQ/s0R4SomCxt7MLvIDgE07G701HkMpg+10HZMNwzp1x6ZRERkVLOurOx382Aug0hrvDXchT/YDr0gPIRuGfPdDqKOEzFZCliz2Zil83HtOmMKRfhdBy5DKZ8BUzfgfDjYuyeHU7HERERuTxrlsPRQ7j63VDs1xeU0s+EhnpO61m7DHs0MK9rKx4qJksRu3opnDmN6Xal01GkCJgrB0J4edyff+h0FBERkcvi/vYzqHwFtIl3OoqUEqbXtRAUhNXRyYCmYrIUsQu/g+gquraknzDh5TBX3wzrV2G3bXQ6joiISKHYTWthx2ZM34G6HIh4mYqVMB0TsIvmYFNTnI4jDlExWUrY40dg8zpMlz4Yl/5b/IXpfS1ERuH+6C2sO9vpOCIiIgVircU9YzJERmN66HIgkpO5ciBkZmAXfON0FHGIqpZSwi6eA4DpqmtL+hMTWhYz+G7Yu0NvtCIi4nvW/+g5KjngVkxIGafTSCljatSBpq2x38/CZp11Oo44QMVkKWDd2dhFc6BJK0x0FafjSBEzHbpDoxbYzz7EpiQ7HUdERCRfvEclK1+hL7vlolxX3gCJJ7FL5jodRRygYrI02LwOTh7TxDt+yhiD6zf3QkYadvp/nI4jIiKSL3bFD7BnO2bAEExwiNNxpLRq1gbqNMD+bxo2K8vpNFLCVEyWAnbhbAgvj2ndyekoUkxMbC3M1Tdjl8z1zNorIiJSitn0M9jp70Ct+pj4nk7HkVLMGIPruiFw4ih2yfdOx5ESpmLSYfZ0Mnb1EkznnjoXwc+ZAbdCrXq4J72CTU50Oo6IiMhF2VlTIfEkrtvuxbg0g6tcQov2UDsO++V0HZ0MMComHWaXLYCsLA1xDQAmOATX3Y9A2hnck17FWut0JBERkVzsoX3Y2TMxXfti6jd2Oo74AM/Ryd/A8SPYxbOdjiMlSMWkg6y12AVfQ+04TM26TseREmBia2FuHAprlnpn8BURESktbHYW7ndehrLhmJvucDqO+JKW7aF+Y+yMKdj0NKfTSAlRMemkbRvg4F5MwtVOJ5ESZPpe75nddcob2MP7nY4jIiLilfrJJNi9DXP7/ZgKkU7HER9ijME1+G5ITsR+85nTcaSEqJh0kJ33FYSVw3RMcDqKlCDjCsI14hEoE4r7jbHYs5lORxIREcHu2UHqtHcwHXvg6tDN6Tjig0z9xpj23bDffoo9dcLpOFICVEw6xCadwv64BNO1DyY01Ok4UsJMZDSuux6C/buw0991Oo6IiAQ4e+Y07jf+gatiJcxt9zodR3yYuekOcLuxH7/ndBQpASomHWIXfgfZWRriGsBMyw6YKwdi5/4P++MSp+OIiEiAsm635zzJk8eo+NjfMOUinI4kPszEVMVcPQi7fD5242qn40gxUzHpAOvO9ky806QVpmoNp+OIg8xNd0DtONzvT8QePeR0HBERCUD2609g7XLMoLso06Sl03HED5hrBsEVsbg/fA2bmeF0HClGKiadsG4lnDyOK6G/00nEYSY4BNe9jwMG9yvPYdPPOB1JREQCiF25EPvZJEyH7pg+1zkdR/yECSmDa+j9cOww9ouPnI4jxUjFpAPcc76AyGho1dHpKFIKmJiqnoLy8H7c/5mAdbudjiQiIgHAbt+E+z8ToH5jzF0PYYxxOpL4EdO4JaZ7P+w3n2K3rHc6jhQTFZMlzO7bBZvXYXoPwAQHOx1HSgnTtDXmluGwZhl25hSn44iIiJ+zRw/hfuU5iKqM6/d/xYSUcTqS+CFzy3CIqYr7nZewqaedjiPFQMVkCbPfzYAyoZgeVzkdRUoZ03sApmtf7P+mcebbGU7HERERP2VPJ+Oe+Cxgcf1hNCaigtORxE+ZsmG4RjwGSaewH76KtdbpSFLEVEyWIJt4Ert8gedyIOXKOx1HShljDGboA9C8HSlvjMWuWuR0JBER8TP2bCbuV56HE0dwPfAU5orqTkcSP2fqNsBcf5vn/NxFs52OI0VMxWQJsvO+BHc2ps/1TkeRUsoEB+O678+ENGyO++3x2I1rnI4kIiJ+wrrd2Hf/Cds3Yu56GNOgqdORJECYq2+CRi2wU97wnPIlfkPFZAmxGRnY+V9Bq476FlB+lQkNJfKpFz1Tar/6PHbnFqcjiYiIH7AzpmBX/IC56Q5cHXs4HUcCiHEF4frdY1CuPO7XXsCe0fmT/kLFZAlJm/slnE7B1Xeg01HEB7jKV8D18DNQIRL3y09jd21zOpKIiPgw96LZ2C+nYbr3w1x9s9NxJACZCpVw3fsEnDyG+52XNXu9n1AxWQJsVhapn06Ceo2gYTOn44iPMJFRuB59zvMt3oRRKihFRKRQ7Ka12EmvQNPWmNvu0yVAxDEmrglm8N2wdjn2m0+djiNFQMVkCbDL5uE+dhjXtbfoDVwKxETH4HrseRWUIiJSKPbQPtyv/R2uiMV17xO6LJk4zvQegOnQHfvZh9hNa52OI5dJxWQxs+5s7JfTCa7XEFq0dzqO+CAVlCIiUhg2ORH3P5+BkBBcfxiFCS/ndCQRz+z1dzwIVWNxvzUOe/K405HkMqiYLGZ2xUI4eohyg36ro5JSaDkLypHYrRucjiQiIqWYPXsW92svQHIirgdHYqKrOB1JxMuUDcN1/5OQmYn7zRexWWedjiSFFFDF5K5du3j88cfp27cvNWvWZNCgQXmu99577zFs2DCaNWtGbGwsixcvznO9rVu3csstt1C/fn3atm3L2LFjyc7O9t5us85iZ0yG2NqEdtKsaXJ5THQMrj89DxUr4X55NHbdChYsWMADDzxAp06diI2NZfz48bnut2XLFm6//Xbatm1L3bp16dChA4899hhHjhzJsV5+tiUiIkUjv32SpKQkHnnkEZo1a0aDBg0YOnQou3blvLTC1KlTiY2NzfFTo04dJs1Z4LkESN0GJfGQRArEVKuB67f/Bzs2Y6e/S3Z2Nq+88go33ngjzZo1o1q1avzmN79hzZo1ue6bnJzMH//4R5o2bUrjxo158MEHOXny5EX39fXXXxMbG0v//v2L8REFpoAqJrdu3cr3339PvXr1qFev3kXX+/jjj0lMTKRnz54XXScxMZEhQ4ZgjOHdd9/l4Ycf5o033mDcuHHedeyCb+DYYVw334lxBVRTSzExUTG4Hv87VKuJ+9Xn+X7KJDZt2kS3bt0ICwvL8z7JycnUrFmTkSNHMnnyZB577DF++OEHhg0bRlZWlne9uXPnXnJbIiJSNPLbJ7n//vuZP38+zzzzDK+88gqnTp3i1ltvJSUlJde606ZNY+bMmcx48o98Ht+Ia+68G1eHbsX5MEQui2nfDdN3IPb7WZyZ+yWvvPIKrVq1YuLEibz77rsEBwdz4403sm7duhz3u//++1myZAljx45lwoQJrFmzhuHDh+e5j/T0dJ555hliYmJK4iEFnIA6C/vKK6/kqquuAuCee+7h1KlTea43c+ZMXC4Xmzdv5vPPP89znUmTJpGens7bb79NREQEPXr04PTp04wfP54HHniA8sFB2FlToVELaN6uuB6SBCATURHXY8/h/vffeGrrekaN+hOuXtfwzTff5Ll+hw4d6NChQ45l577t27RpEy1atABg5MiRjB49GuCi2xIRkaKRnz7JypUrmT9/PlOnTqVbN09R2KZNGzp37szkyZO57777cqzfunVrwrf+hHvdD5h+/TG3jSj+ByJymcyg32IP7iF0+jssmvQfKrWLB6By5cq0bNmS7t278+677zJhwgTA87qYN28en3zyCZ07dwagatWqDBgwgAULFtCjR87RgK+99hpVq1aldu3abNmia3cXtYA6XObK59HB/Kw3d+5cEhISiIiI8C4bOHAg6enpLFmyBPvtZ5CShOtmnSspRc+EheN6aDSuVh2xU17HPWtqge5fqVIlADIzM73L8vv6EBGRy5ef99wNGzYQHBxMfHy8d1lMTAxNmjRh9uzZuda32zfhfmsc1GmA+e0f1P8Qn2CCgnDd+zhBVapS4cN/Yw/v995WpkwZGjZsyPHjv0zSM3fuXGJiYryFJHi+ZKlVqxZz587Nse0DBw7w2muv8eyzzxb/AwlQ6j0W0vbt24mLi8uxLDY2lrCwMLavWY39+lNMh+46T0GKjSkTiuv+JzHxvTzn5mak/+oFgN1uN5mZmWzfvp3nn3+e1q1b06ZNmxJMLCIiBZGRkUFwcDBBQUE5loeGhrJ9+/Zc63e9cRB1Zy6l5/+W8OHUaSUVU+SymfDyuP5vJBgX7vEjsccOA57XwE8//UTDhg296+bVBweIi4vL9bp45plnuO6667yjsKToqZgspKSkJCpUqJBrecWKFUlcMg9CQjC35D12W6SomKAgzG8fwvS7Ac5mYpfOxaYk57nusGHDqFu3LgkJCSQmJvL+++/raKSISClWp04d0tPT2bRpk3dZWloamzdvJjEx0busCm4ea16Xl7u25N1X/kWbdu3485//zJtvvulAapHCMVWq43rkWTibiXv8X8k+eoiJEyeSlJTEb37zG+96F+uDR0ZGkpSU5P170aJFzJ8/nyeeeKJE8gcq9SQvQ17DR2xGOubEUcyNwzCRUQ6kkkBjXC5cg++GsmFw8jju5x7B7sn9jfWYMWP44osvmDhxIqmpqQwdOpT09HQHEouISH707NmTWrVq8cQTT7B9+3aOHDnCn//8Z1JSUrxHK+3W9fRY+Dl/aNOYnuNep8/AG5k4cSLXXXcd//znP3H/yogVkdLG1KiL6+Gn4Uwq04fdxMSJE/nLX/6S60hknn1wa73Ls7KyGDVqFA899BBVquiyOMVJxWQhVaxYkeTknEeA7JGDpCQnUyG2JiZBUw9LCQsOwXTrC2437hf+hHvWR9jzLlVTr1492rZty80338yUKVNYv379RSeYEhER55UpU4ZXX32V48ePk5CQQNu2bdm7dy+DBg2icuXKuBfNxj1hNFSqjOvxv2OuqO6977XXXktiYiL79u1z8BGIFJyp04B1193B/QvXcnvtKozo2CrH7RUrVsxxBPKc849YTp48maSkJAYPHkxSUhJJSUmcPXuW7Oxs7+9SNAJqNteidOG4bJuRzv5xozmT7abB4KG6FIg4wkRG47rvSeyUN7AzpmDXrsD12z9gYmvnWK9GjRpERkayZ88eh5KKiEh+tGnThkWLFrFjxw6Cg4OpU6cOdwwbRpuoCtj3JkKTVrh+9ydM+dzD/iDvIzgipdmOHTu489En6NWnD8/WroD733/DXHUj5oZhmOBg4uLiWL58eZ73OzdD8o4dOzh06BCtW7fOtV7Tpk2ZOHEiN998c3E/lICgYrKQevXqxeuvv87p06cpFx6Off9ffPHjOsqGliH+yqucjicBzJSLwNzzGLZNZ9yTX8P97EOY3tdhrhuCCS8HeE5eP3XqFLVq1XI4rYiIXIoxxjvMb8eaH1k4fx7/aVsfc/VQzA1DMRdM0APw5ZdfEhUVRY0aNUo6rkihHTlyhNtvv53atWvz4UdTSU1KxE59G/vNZ9jtm3Dd8yd69erFyy+/zPLly+nYsSMAa9euZc+ePfTq1QuAu+66i6uvvjrHtl955RX27t3LP/7xDxo00ASZRSWgism0tDTmzJkDwOHDhzl9+jSzZs0CoE+fPt4Lta9du5Z9+/Zx8OBBAJYuXcrJkyepWbMmrVp5DrUPGzaMd955hxEjRnB/0zrsWTSfCbuO8rt778txuRCR4rR//37WrFkDwNmzZ9m6dSuzZs0iPDyc3r1742rUkmfv+S1Br7xKm0+nU7HvdWwPKcdrr71GnTp1GDhwYL63JSIiRSe/fZIJEyYQFxdHVFQUmxbM5Z9vvc11sZXpOfJ5TLsugOc6la1bt6ZJkyZkZ2czc+ZMZs6cyZgxYzTRmviMtLQ0hg4dSlJSEn/729/46aefPBNNNelESFA5mi36Evczf6Dt7ffRs2dPHnroIUaOHInL5eK5556jY8eO3mtM1q1bl7p16+bY/rRp0zh58iRdunRx4NH5L2OttZezgXMF1/kqV66c43owpcW+fftyXJPmfEuXLqVmzZoAPPzww0yfPj3XOoMHD+bll1/2/r1161aeuncEq7bvpGK5cvzm7uE8+uijuabwhtLbJk5Tu+Qtv+0ydepUHnnkkVzLa9SowbJlywCYMWMG77z2Ktu2biXj7FliK0TQp28fHhz1DNHR0QXaltP0fMmbv7VL9erVL72S/Kq8PpsDgS+9FvLbJxk1ahSzZs3i1IkTVCsTxG+a1OO+f79JSK163vVfeOEFvvzyS+//e4MGDRgxYgSDBg0qcC5fasPSSm1YOL/2mqhRowZLv/gc9zsTYMdmklt04tlth/l69mzcbjd9+/ZlzJgxREVdfPLLhx9+mC1btvDVV18V10ModYryuXixz+aAKiaLkrUWO2sqduYUTNe+mDv/71fPSwiENikMtUveiqNdrNuNXTQbO/O/kHgCGjbDNWAING7pM+fU6PmSN39rFxWTl0/FpP+wqSm435sIa5ZB68647n4YExZebPvzxzYsaWrDopFXO9rsbOxX07FffASRUbju/iOmka4heTElUUwG1DDXomKtxX78HvbbzzBd+mDu+L3PdMYlcBmXC9O9H7ZzT+yCb7FfTcf90kioXgvT61pM556YsmFOxxQRkZ/ZHZtxvzkWkk5hbh2O6XO9+hsS0ExQEGbAEGyztrjffgn3+L9i+t2IGXg7JiTE6XgBScVkAVm3Gzvldez8rzG9rsEM+Z1mbhWfYkLKYPoMwPboh13+A/b7WdjJr2E/fhfTNh4T3xsatdDzWkTEIfbsWc/Rly+ney778cQ/MHU1YYjIOaZuQ1yjXsZOewf7zafYjatxDX8k1+z1UvxUTBaAzc7GvjcRu3Qu5qqbMDffqW8IxWeZkDKYrn2wXXrDzi2eIbArF2KXzIWoGEx8L0yX3pgqGnIoIlJS7Ka1uKe8AYf3YzomYG6/FxNe3ulYIqWOCS2LGfYAtmV73O//C/eYhz3982tvwZQJdTpewFAxmU826yzut8fDqsWeQ+nX3qJCUvyCMQbqN8bUb4wdcg929VLsku+xX36M/d80z21demPad1OHRkSkGFhrYdsG3F98BJvXQXQVXH8YjWnRzuloIqWeadUR1zOvYKe/g/1yOnbFD7iG3AMt2quvXgJUTOaDPXMa96svwJafMLcMx3XlwEvfScQHmTKhmE4J0CkBe+oEduk8T2E56VXsR29jWnXEdOgOzdvqWz8Rkctk089gl87HzvsSDuyBiIqYW0dgEq7GhJRxOp6IzzARFTB3P4yN74V78uu4/zUGGjbHdcNQiGuiorIYqZi8BHv8iOcJeeQg5u4/4orv5XQkkRJhKkVj+t+Mvfom2L0du2QOdsVC7MqFEBqGadkemrTCNGmFqXyF03FFRHyCzcqCzeuwK37A/rgY0tOgVj3MHQ9iOvbAhJZ1OqKIzzJNWuF6+l/YH77FfvFf3C/+Geo2xFx5g2deiDwu3yeXR8Xkr7A/Lsb9/r/Aguuh0ZgmrZyOJFLijDFQtwGmbgPsrffAlp8851auWwkrfsACxFT1FJVN20CTlhoOKyJyHuvOhm0bPZOe/bgYTidDWDimXRdMj6s9nV0dOREpEiY4GNPrGmyX3tjFc7DfzcC++SK2YiVMpwRMfG9MjTpOx/QbKibzYFOSsZ++j134HdSOw3Xv45iYqk7HEnGcCQqCpq0xTVt7zvE5tA+7aR120xrs8gXYBd+Ay+XpGDVri2naGuo00DeBIhJwrNsNu7Z6jkCuXARJJ6FMKKZ1J8/pAs3a6lIGIsXIhJbF9LoWm3A1rFuJe9Fs7JwvsN9+7hkNEN8L064bplK001F9morJ89iMDOwP33guhJqR5pkR6obbMcFF82Y/fvx4XnrppSLZlgSWRx55hEcffdTpGDkYYzzXqKxeC/oM8Azd2rkFu3E1dsNq7Bf/xc6cAqFh0KAJJq4ppmZdqF7LM1usLj0iIn7GZp2FzT9h1yzFrlnuKSCDQ6BFO0yHHpiW7UvNMFb1ScRJJdmvMa4gaN2JoNadsClJni+/F3+Pnfof7LR3POdUdujuGSlQoVKJZPInKiYBe+yw50k170vP0JMmrXANucfTSRaRfDHBwdCwGaZhM7hhKPZ0MnbTOti6HrvlJ+z6Dz1DYgHKhEJUjKeojI7J/Xul6CL7EkdEpLjYrCw4uAe7dQN263rPTKxpZyC0rOfIY5tOmFadMGHhTkcVEcBEVMT0uQ76XIc9vN9z2s6Khdgpb2D/+5bny+/GrTCNWnhGWWn0wCUFVDFprfWc6J6cCCeOYrdtwG5YDbu2elZo0R5X/0GYBk0dzSniD0z5CpgO3aBDN8AzKzIH92IP7IXD+7Enj3teh/t2QkqSZx3vnQ1UrOQpMKNioEo1qFqDs42aYcuWw4SXc+ZBiUjAsFlZcDrJ02dITsQmJ0LSz7+fOgaH9sORg5Cd5blD5Ssw7bpiWnf2nDuuGa9FSjVTtQZmwBAYMAR7YO/P80Es/2Vklcvl6X9Uq+mZaDAiEiIqYCIqQrkIKB8B5SpAuXKeo58Bylhr7aVXu7iDBw/mWla5cmWOHz9+OZvNN2stnEnN+WZ/7iflgr+TE+Fs5i93Ni6oXR/TtotnBrXomGLLWZJt4kvULnkLtHaxmRlw6oSnuDx1HE4cg5PHsCePeX4/cQSys3+5Q8UoqBrrOZc5vJxnKG1YOISGQkiopxNXpgyE/Pzz8/Jffvcs95cJL/zt+VK9enWnI/i8vD6b/Z21lsqRkRw/cthT4J096/k369zPWc9PRhr2dAqkpsC5f1OSsanJv/ydmuI5wpiXMqEQGeXpYFarCbG1MQ2beb748gP+9n7iBLVh0XCqHW1qCmzdgN29HXtor+eLo5NHITPz4ncKL/dzgVkByv9ccJ73Yypc8HcJXfqnKNvwYp/NpeLIpN2xGfvTSnC7PT/23L8W3Nme37OyID0Nm37Gc3QxPQ1ST3uOaJz7VvB8LtfP/2GRUCESc0V1qOD5nYhITGSU5/C1hp6IOM6UCYUrqsMV1cmrvLNZWXD8MBGpySRv3QRH9mMPH/C8b6SdgcyMnOvna6fGU1SWKQOuIM97hsvl+ZLJ5brIMpfn/KewcM97R1g4hJWDsmGeDuaF6xvj+feXnebxq8mZ6YJFed5+weNIj4jAnZJy3u3nr/dza1jr+fEutr/cbs9fdt7fnHefXPe13lWwFozBlXB17nzis+yOzdjN6/K44WKvsDyWX3RV6/mCKPus5/P9guLPnlt2rgD0/p2Vx98/L8vO4mhhHmhYuZ+PMER4jjpUjfV0CMtF/NwJjPyl/1AhElM2rDB7EREfYcpFQJvOmDadcyy3GemeuiMlCVJTfvlS6rwvpuzpFEg6hd2/G1ISPe9P5PFWWDYMwst7hsSf92PO/R4U5OmHeP891y85b1keH/UX/pFaPgK6X1V0jZOH0lFM7tqK/fJjcJmcnbbzfw8KgrI/d97Khnne0MPK5XyDP/8Nv1yEJvgQ8RMmOBiq1qBs5cqcrp97GLp1Z3u+YMrM+Pkn0zMKITPT8/fZDKx3WcYvy8/9ZGf9/OWVO8eXWvbcl1nnf9F19qzng+LIAU8hm5bq/bBwSpKje/+ZcYGKSb9it2/Cfv5h8e3AuCAkGIJCIDgYgoI9/wbn8Xd4qOffoGDP+0FQMISEnLeOZzvlKlYkNSPzgvsHe87B/nkdQst6isfyERAe4dmeiMgleAu9n6+tfamxTd7T61ISISX55xGTSb8UpGdSsZnpkJEO6emQeAKbng6Z6Z4v29xuz0G17Oyf//25H1IAp4NDCAqEYtLV93roe73TMUTERxlXkOcbvl+5vmVxDmi1Z38uVHMUnj8Xp1zsyN6FGznvSCG5f/212ytViuTUqVN57AfPAz//iOX5R0RzHAk993te/15kvby2JX7DXHm9Z6KKPG+8yP93novzXrc4vvAtV7kyaRpeKCKlgDHm5xFM4VDFM0T0cj8p7bk+xvmn/nh3mGPnAFSOjuZEcspl7vXXlYpiUkTEl5lz52Y6JLhyZUzZixfSIoVhXEGgAT4iIqWG8Z5yk78SzjMRWPEWk/qYEBERERERkQJTMSkiIiIiIiIFpmJSRERERERECkzFpIiIiIiIiBSYikkREREREREpMBWTIiIiIiIiUmAqJkVERERERKTALvs6k2+99VZR5BAREfEaPXq00xF8mj6bRUSkqOX52WyLwdNPP10cm/VpapO8qV3ypnbJm9olb2oXEQ+9Fi6f2vDyqQ2Lhtrx8pVEG2qYq4iIiIiIiBRYsRSTCQkJxbFZn6Y2yZvaJW9ql7ypXfKmdhHx0Gvh8qkNL5/asGioHS9fSbShsdbaYt+LiIiIiIiI+BUNcxUREREREZECUzEpIiIiIiIiBaZiUkRERERERAosX9eZ3LhxI1988QU7d+7k1KlTPPDAA/Ts2dN7u7WW6dOnM2fOHE6fPk2DBg0YPnw4NWvW9K5z9uxZJk2axKJFi8jMzKR58+aMGDGC6OjoIn9QJeVS7bJs2TJmz57Nzp07SUlJYfTo0TRr1izHNgKtXbKysvjoo49Ys2YNR44cISwsjGbNmnH77bdTuXJl7zb8rV0u9Vz56KOPWLp0KSdOnCA4OJi6dety66230qhRI+86/tYmcOl2Od8bb7zBnDlzGDp0KNdff713eSC2yyuvvML8+fNz3KdBgwY899xz3r/9sV0k8FzqtZCYmMjkyZNZt24dqampNGnShLvvvptq1ap51wn010JRtOHTTz/Nxo0bc2y3S5cuPPzwwyX0KJz12WefsXz5cg4ePEhwcDANGjTgtttuo1atWt51ArUvnF9F1YZ6Ll66HUu6/sjXkcn09HRq1qzJXXfdRZkyZXLdPmPGDGbNmsVdd93FCy+8QIUKFfjb3/5GWlqad5333nuPZcuW8dBDD/HMM8+QlpbG3//+d9xud4FDlxaXapeMjAwaNmzInXfeedFtBFq7ZGZmsmvXLm666Sb+8Y9/8Pjjj3PixAmee+45srOzvev5W7tc6rlSvXp1hg8fzrhx43j22WepUqUKzz//PImJid51/K1N4NLtcs7SpUvZsWMHlSpVynVboLZLixYtePPNN70/Tz75ZI7b/bFdJPD82mvBWsvYsWM5fPgwf/rTn3jxxReJiYlhzJgxpKene9cL9NdCUbQhQM+ePXO85/zud78ryYfhqI0bN9KvXz/GjBnD6NGjCQoKYsyYMZw+fdq7TqD2hfOrqNoQ9Fy8VDuWeP1R0AtTDh061M6dO9f7t9vttvfcc4/95JNPvMsyMjLssGHD7LfffmuttTY1NdUOGTLELliwwLvOsWPH7C233GJXr15diMtjlj4Xtsv5kpKS7ODBg+369etzLA/0djln3759dvDgwXbPnj3WWv9vl/y0SWpqqh08eLD38fp7m1h78XY5evSo/d3vfmf37dtnH3jgATtjxgzvbYHaLv/+97/tCy+8cNH7BEK7SOC58LVw4MABO3jwYLtr1y7vsuzsbDt8+HA7e/Zsa61eCxcqTBtaa+3o0aPt22+/XYJJS7e0tDR7yy232BUrVlhr1RcujMK0obV6Ll7ownY8X0nVH5d9zuTRo0dJTEykZcuW3mVlypShSZMmbNmyBYCdO3eSnZ1Nq1atvOtUrlyZ2NhYtm7derkRfJbaxePMmTMAlCtXDlC7ZGVlMXv2bMLCwqhTpw4QuG2SnZ3NP//5T26++WZq1KiR6/ZAbReAzZs3M2LECB566CFef/11kpKSvLcFcrtI4MjKygLIcbTN5XIREhLC5s2bAb0WLiU/bXjO4sWLGT58OI888ggffPBBrqNFgSQtLQ1rLeXLlwfUFy6MwrThOXou/uLCdsyPon4u5uucyV9zbhheZGRkjuUVK1bk1KlT3nVcLhcRERG51jl/GF+gUbt4PsgmTZpEu3btvOO0A7VdVq1axcsvv0xmZiaRkZGMHDnS+7oK1DaZNm0a5cuXp1+/fnneHqjt0rp1azp16kSVKlU4evQoU6dO5dlnn+Xvf/87ISEhAdsuEliqV69OTEwMU6ZM4b777qNs2bLMmjWLEydOeJ/nei38uvy0IUC3bt2oXLkyUVFR7Nu3jylTprBnzx5GjhzpXHgHvfvuu9SpU4eGDRsC6gsXRmHaEPRcvNCF7ZgfRf1cvOxiUqSwsrOzmThxIqmpqTz++ONOx3Fcs2bNGDt2LMnJycyZM4cJEybwt7/9Lc/zBAPBxo0bmTdvHmPHjnU6SqnTtWtX7++1atWiXr16/P73v+fHH3+kU6dODiYTKTnBwcE8+uijvPbaa9x99924XC5atGhBmzZtnI7mM/Lbhn379vX+XqtWLa644gr+8pe/sHPnTurVq1fSsR31/vvvs2XLFp599llcLl0UoTAupw31XPxFaXkuXvaezz9ycr6kpCQqVqzoXcftdpOSkpJrnQu/gQgkgdwu54Yv7t27l1GjRuX4diRQ26Vs2bJUrVqVhg0bcv/99xMUFMScOXOAwGyT9evXk5iYyO9+9zuGDBnCkCFDOHbsGJMnT+a+++4DArNd8hIVFUVUVBSHDh0C1C4SOOrVq8fYsWN57733ePPNN3nqqadISUkhJiYG0GshPy7Vhhe7j8vl4vDhwyWY1HnvvfceixYtYtSoUVxxxRXe5eoL59/ltGFe9FzM2Y75UdTPxcsuJqtUqUJkZCTr1q3zLsvMzGTz5s3eyxrUq1ePoKCgHOucOHGCAwcOFOiwrL8J1HbJyspiwoQJ7Nmzh9GjR+d64gZqu1zIWus9nyUQ2+Sqq65i7NixvPjii96fSpUqce211zJq1CggMNslL8nJyZw8edJ7FFvtIoEmPDycChUqcOjQIXbs2EGHDh0AvRYK4mJtmJe9e/fidrsDqgh69913vZ332NjYHLepL5w/l9uGedFzMfbSd7hAUT8X8zXMNT093VvxW2s5fvw4u3fvpnz58lSuXJlrrrmGzz77jNjYWKpVq8ann35K2bJl6datG+B5g+rduzeTJk2iQoUKRERE8MEHH1CrVq0cJ9r6mku1y+nTpzl+/DipqakAHD58mHLlyhEZGUlkZGRAtkulSpV46aWX2LFjB0888QTGGO+3UOHh4ZQpU8Yv2+XX2iQ8PJyZM2fSrl07KlWqRHJyMl9//TUnTpwgPj4eCNzX0IXfRgYHBxMZGUn16tWBwGyX8uXLM23aNDp37kxkZCTHjh1jypQpVKxYkY4dOwL+2y4SeC71HrFkyRIiIiKIiYlh7969vPfee3To0ME7sYReC5ffhocPH2bhwoW0adOGiIgI9u/fz6RJk6hbty6NGzd28qGVmLfffpsffviBP/3pT5QvX97bbylbtixly5bFGBOwfeH8Koo21HPx0u0IlHj9Yay19lIrbdiwgWeeeSbX8oSEBH7/+997LzI6e/ZsUlNTiYuLY/jw4TkuoJmZmcmHH37IwoULc1wc8/wL1fuaS7XLvHnzePXVV3PdPmjQIG655RYg8Npl8ODBPPjgg3ne7/wLKftbu/xam4wYMYKJEyeyfft2UlJSiIiIoH79+tx44400aNDAu66/tQlc+jV0od///vdcddVVXH/99d5lgdYu99xzD2PHjmXXrl2kpqZSqVIlmjVrxq233prjMftju0jgudR7xJdffskXX3xBYmIilSpVokePHgwaNIjg4F++Kw/018LltuHx48f517/+xb59+0hPTyc6Opq2bdsyePDgAs0g6cvO9dkudH5/LlD7wvlVFG2o52L+2rGk6498FZMiIiIiIiIi59M0VCIiIiIiIlJgKiZFRERERESkwFRMioiIiIiISIGpmBQREREREZECUzEpIiIiIiIiBaZiUkRERERERApMxaSIiIiIiIgUmIpJERERERERKTAVkyIiIiIiIlJg/w+w3dsWeEEWRgAAAABJRU5ErkJggg==", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "az.plot_trace(data=trace3, var_names=[\"centers\"],figsize=(16,4))\n", + "az.plot_posterior(data=trace3,var_names=[\"centers\"],figsize=(16,4))\n", + "# az.plot_posterior(data=trace3[\"centers\"][:,1])\n", + "az.plot_autocorr(data=trace3, var_names=[\"centers\"],figsize=(16,4));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The first plotting function gives us the posterior density of each unknown in the `centers` variable as well as the `trace` of each. `trace` plot is useful for inspecting that possible \"meandering\" property that is a result of non-convergence. The density plot gives us an idea of the shape of the distribution of each unknown, but it is better to look at each of them individually." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The second plotting function(s) provides us with a histogram of the samples with a few added features. The text overlay in the center shows us the posterior mean, which is a good summary of posterior distribution. The interval marked by the horizontal black line overlay represents the *95% credible interval*, sometimes called the *highest posterior density interval* and not to be confused with a *95% confidence interval*. We won't get into the latter, but the former can be interpreted as \"there is a 95% chance the parameter of interest lies in this interval\". When communicating your results to others, it is incredibly important to state this interval. One of our purposes for studying Bayesian methods is to have a clear understanding of our uncertainty in unknowns. Combined with the posterior mean, the 95% credible interval provides a reliable interval to communicate the likely location of the unknown (provided by the mean) *and* the uncertainty (represented by the width of the interval)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The last plots, titled `center_0` and `center_1` are the generated autocorrelation plots, similar to the ones displayed above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Useful tips for MCMC\n", + "\n", + "Bayesian inference would be the *de facto* method if it weren't for MCMC's computational difficulties. In fact, MCMC is what turns most users off practical Bayesian inference. Below I present some good heuristics to help convergence and speed up the MCMC engine:\n", + "\n", + "### Intelligent starting values\n", + "\n", + "It would be great to start the MCMC algorithm off near the posterior distribution, so that it will take little time to start sampling correctly. We can aid the algorithm by telling where we *think* the posterior distribution will be by specifying the `testval` parameter in the `Stochastic` variable creation. In many cases we can produce a reasonable guess for the parameter. For example, if we have data from a Normal distribution, and we wish to estimate the $\\mu$ parameter, then a good starting value would be the *mean* of the data. \n", + "\n", + " mu = pm.Uniform( \"mu\", 0, 100, testval = data.mean() )\n", + "\n", + "For most parameters in models, there is a frequentist estimate of it. These estimates are a good starting value for our MCMC algorithms. Of course, this is not always possible for some variables, but including as many appropriate initial values is always a good idea. Even if your guesses are wrong, the MCMC will still converge to the proper distribution, so there is little to lose.\n", + "\n", + "This is what using `MAP` tries to do, by giving good initial values to the MCMC. So why bother specifying user-defined values? Well, even giving `MAP` good values will help it find the maximum a-posterior. \n", + "\n", + "Also important, *bad initial values* are a source of major bugs in PyMC3 and can hurt convergence.\n", + "\n", + "#### Priors\n", + "\n", + "If the priors are poorly chosen, the MCMC algorithm may not converge, or atleast have difficulty converging. Consider what may happen if the prior chosen does not even contain the true parameter: the prior assigns 0 probability to the unknown, hence the posterior will assign 0 probability as well. This can cause pathological results.\n", + "\n", + "For this reason, it is best to carefully choose the priors. Often, lack of covergence or evidence of samples crowding to boundaries implies something is wrong with the chosen priors (see *Folk Theorem of Statistical Computing* below). \n", + "\n", + "#### Covariance matrices and eliminating parameters\n", + "\n", + "### The Folk Theorem of Statistical Computing\n", + "\n", + "> *If you are having computational problems, probably your model is wrong.*\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "PyMC3 provides a very strong backend to performing Bayesian inference, mostly because it has abstracted the inner mechanics of MCMC from the user. Despite this, some care must be applied to ensure your inference is not being biased by the iterative nature of MCMC. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### References\n", + "\n", + "1. Flaxman, Abraham. \"Powell's Methods for Maximization in PyMC.\" Healthy Algorithms. N.p., 9 02 2012. Web. 28 Feb 2013. ." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.core.display import HTML\n", + "\n", + "\n", + "def css_styling():\n", + " styles = open(\"../styles/custom.css\", \"r\").read()\n", + " return HTML(styles)\n", + "css_styling()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.8" + }, + "vscode": { + "interpreter": { + "hash": "0a54084e6b208ee8d1ce3989ffc20924477a5f55f5a43e22e699a6741623861e" + } + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC3.ipynb b/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC3.ipynb index e3b3057d..ad777ca8 100644 --- a/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC3.ipynb +++ b/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC3.ipynb @@ -76,7 +76,10 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -151,7 +154,10 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -240,7 +246,10 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -295,7 +304,10 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -361,7 +373,10 @@ "cell_type": "code", "execution_count": 5, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -398,7 +413,10 @@ "cell_type": "code", "execution_count": 6, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -494,7 +512,10 @@ "cell_type": "code", "execution_count": 7, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -520,6 +541,9 @@ "execution_count": 8, "metadata": { "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, "scrolled": true }, "outputs": [ @@ -568,7 +592,10 @@ "cell_type": "code", "execution_count": 10, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -602,7 +629,10 @@ "cell_type": "code", "execution_count": 12, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -662,7 +692,10 @@ "cell_type": "code", "execution_count": 13, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -736,7 +769,10 @@ "cell_type": "code", "execution_count": 14, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -883,7 +919,10 @@ "cell_type": "code", "execution_count": 15, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -999,7 +1038,10 @@ "cell_type": "code", "execution_count": 16, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -1079,7 +1121,10 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1193,7 +1238,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1207,9 +1252,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.9.12" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 4 } diff --git a/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC_current.ipynb b/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC_current.ipynb new file mode 100644 index 00000000..f3cfd16c --- /dev/null +++ b/Chapter4_TheGreatestTheoremNeverTold/Ch4_LawOfLargeNumbers_PyMC_current.ipynb @@ -0,0 +1,1478 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 4\n", + "`Original content created by Cam Davidson-Pilon`\n", + "\n", + "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", + "\n", + "`Ported to PyMC last by Kurisu Chan (@miemiekurisu) `\n", + "______\n", + "\n", + "## The greatest theorem never told\n", + "\n", + "\n", + "This chapter focuses on an idea that is always bouncing around our minds, but is rarely made explicit outside books devoted to statistics. In fact, we've been using this simple idea in every example thus far. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Law of Large Numbers\n", + "\n", + "Let $Z_i$ be $N$ independent samples from some probability distribution. According to *the Law of Large numbers*, so long as the expected value $E[Z]$ is finite, the following holds,\n", + "\n", + "$$\\frac{1}{N} \\sum_{i=1}^N Z_i \\rightarrow E[ Z ], \\;\\;\\; N \\rightarrow \\infty.$$\n", + "\n", + "In words:\n", + "\n", + "> The average of a sequence of random variables from the same distribution converges to the expected value of that distribution.\n", + "\n", + "This may seem like a boring result, but it will be the most useful tool you use." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Intuition \n", + "\n", + "If the above Law is somewhat surprising, it can be made more clear by examining a simple example. \n", + "\n", + "Consider a random variable $Z$ that can take only two values, $c_1$ and $c_2$. Suppose we have a large number of samples of $Z$, denoting a specific sample $Z_i$. The Law says that we can approximate the expected value of $Z$ by averaging over all samples. Consider the average:\n", + "\n", + "\n", + "$$ \\frac{1}{N} \\sum_{i=1}^N \\;Z_i $$\n", + "\n", + "\n", + "By construction, $Z_i$ can only take on $c_1$ or $c_2$, hence we can partition the sum over these two values:\n", + "\n", + "\\begin{align}\n", + "\\frac{1}{N} \\sum_{i=1}^N \\;Z_i\n", + "& =\\frac{1}{N} \\big( \\sum_{ Z_i = c_1}c_1 + \\sum_{Z_i=c_2}c_2 \\big) \\\\\\\\[5pt]\n", + "& = c_1 \\sum_{ Z_i = c_1}\\frac{1}{N} + c_2 \\sum_{ Z_i = c_2}\\frac{1}{N} \\\\\\\\[5pt]\n", + "& = c_1 \\times \\text{ (approximate frequency of $c_1$) } \\\\\\\\ \n", + "& \\;\\;\\;\\;\\;\\;\\;\\;\\; + c_2 \\times \\text{ (approximate frequency of $c_2$) } \\\\\\\\[5pt]\n", + "& \\approx c_1 \\times P(Z = c_1) + c_2 \\times P(Z = c_2 ) \\\\\\\\[5pt]\n", + "& = E[Z]\n", + "\\end{align}\n", + "\n", + "\n", + "Equality holds in the limit, but we can get closer and closer by using more and more samples in the average. This Law holds for almost *any distribution*, minus some important cases we will encounter later.\n", + "\n", + "##### Example\n", + "____\n", + "\n", + "\n", + "Below is a diagram of the Law of Large numbers in action for three different sequences of Poisson random variables. \n", + "\n", + " We sample `sample_size = 100000` Poisson random variables with parameter $\\lambda = 4.5$. (Recall the expected value of a Poisson random variable is equal to its parameter.) We calculate the average for the first $n$ samples, for $n=1$ to `sample_size`. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "from IPython.core.pylabtools import figsize\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mtl\n", + "mtl.style.use(\"ggplot\")\n", + "\n", + "\n", + "figsize( 12.5, 5 )\n", + "\n", + "sample_size = 100000\n", + "expected_value = lambda_ = 4.5\n", + "poi = np.random.poisson\n", + "N_samples = range(1,sample_size,100)\n", + "\n", + "for k in range(3):\n", + "\n", + " samples = poi( lambda_, sample_size ) \n", + " \n", + " partial_average = [ samples[:i].mean() for i in N_samples ]\n", + " \n", + " plt.plot( N_samples, partial_average, lw=1.5,label=\"average \\\n", + "of $n$ samples; seq. %d\"%k)\n", + " \n", + "\n", + "plt.plot( N_samples, expected_value*np.ones_like( partial_average), \n", + " ls = \"--\", label = \"true expected value\", c = \"k\" )\n", + "\n", + "plt.ylim( 4.35, 4.65) \n", + "plt.title( \"Convergence of the average of \\n random variables to its \\\n", + "expected value\" )\n", + "plt.ylabel( \"average of $n$ samples\" )\n", + "plt.xlabel( \"# of samples, $n$\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looking at the above plot, it is clear that when the sample size is small, there is greater variation in the average (compare how *jagged and jumpy* the average is initially, then *smooths* out). All three paths *approach* the value 4.5, but just flirt with it as $N$ gets large. Mathematicians and statistician have another name for *flirting*: convergence. \n", + "\n", + "Another very relevant question we can ask is *how quickly am I converging to the expected value?* Let's plot something new. For a specific $N$, let's do the above trials thousands of times and compute how far away we are from the true expected value, on average. But wait — *compute on average*? This is simply the law of large numbers again! For example, we are interested in, for a specific $N$, the quantity:\n", + "\n", + "$$D(N) = \\sqrt{ \\;E\\left[\\;\\; \\left( \\frac{1}{N}\\sum_{i=1}^NZ_i - 4.5 \\;\\right)^2 \\;\\;\\right] \\;\\;}$$\n", + "\n", + "The above formulae is interpretable as a distance away from the true value (on average), for some $N$. (We take the square root so the dimensions of the above quantity and our random variables are the same). As the above is an expected value, it can be approximated using the law of large numbers: instead of averaging $Z_i$, we calculate the following multiple times and average them:\n", + "\n", + "$$ Y_k = \\left( \\;\\frac{1}{N}\\sum_{i=1}^NZ_i - 4.5 \\; \\right)^2 $$\n", + "\n", + "By computing the above many, $N_y$, times (remember, it is random), and averaging them:\n", + "\n", + "$$ \\frac{1}{N_Y} \\sum_{k=1}^{N_Y} Y_k \\rightarrow E[ Y_k ] = E\\;\\left[\\;\\; \\left( \\frac{1}{N}\\sum_{i=1}^NZ_i - 4.5 \\;\\right)^2 \\right]$$\n", + "\n", + "Finally, taking the square root:\n", + "\n", + "$$ \\sqrt{\\frac{1}{N_Y} \\sum_{k=1}^{N_Y} Y_k} \\approx D(N) $$ " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize( 12.5, 4)\n", + "\n", + "N_Y = 250 #use this many to approximate D(N)\n", + "N_array = np.arange( 1000, 50000, 2500 ) #use this many samples in the approx. to the variance.\n", + "D_N_results = np.zeros( len( N_array ) )\n", + "\n", + "lambda_ = 4.5 \n", + "expected_value = lambda_ #for X ~ Poi(lambda) , E[ X ] = lambda\n", + "\n", + "def D_N( n ):\n", + " \"\"\"\n", + " This function approx. D_n, the average variance of using n samples.\n", + " \"\"\"\n", + " Z = poi( lambda_, (n, N_Y) )\n", + " average_Z = Z.mean(axis=0)\n", + " return np.sqrt( ( (average_Z - expected_value)**2 ).mean() )\n", + " \n", + " \n", + "for i,n in enumerate(N_array):\n", + " D_N_results[i] = D_N(n)\n", + "\n", + "\n", + "plt.xlabel( \"$N$\" )\n", + "plt.ylabel( \"expected squared-distance from true value\" )\n", + "plt.plot(N_array, D_N_results, lw = 3, \n", + " label=\"expected distance between\\n\\\n", + "expected value and \\naverage of $N$ random variables.\")\n", + "plt.plot( N_array, np.sqrt(expected_value)/np.sqrt(N_array), lw = 2, ls = \"--\", \n", + " label = r\"$\\frac{\\sqrt{\\lambda}}{\\sqrt{N}}$\" )\n", + "plt.legend()\n", + "plt.title( \"How 'fast' is the sample average converging? \" );" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As expected, the expected distance between our sample average and the actual expected value shrinks as $N$ grows large. But also notice that the *rate* of convergence decreases, that is, we need only 10 000 additional samples to move from 0.020 to 0.015, a difference of 0.005, but *20 000* more samples to again decrease from 0.015 to 0.010, again only a 0.005 decrease.\n", + "\n", + "\n", + "It turns out we can measure this rate of convergence. Above I have plotted a second line, the function $\\sqrt{\\lambda}/\\sqrt{N}$. This was not chosen arbitrarily. In most cases, given a sequence of random variable distributed like $Z$, the rate of convergence to $E[Z]$ of the Law of Large Numbers is \n", + "\n", + "$$ \\frac{ \\sqrt{ \\; Var(Z) \\; } }{\\sqrt{N} }$$\n", + "\n", + "This is useful to know: for a given large $N$, we know (on average) how far away we are from the estimate. On the other hand, in a Bayesian setting, this can seem like a useless result: Bayesian analysis is OK with uncertainty so what's the *statistical* point of adding extra precise digits? Though drawing samples can be so computationally cheap that having a *larger* $N$ is fine too. \n", + "\n", + "### How do we compute $Var(Z)$ though?\n", + "\n", + "The variance is simply another expected value that can be approximated! Consider the following, once we have the expected value (by using the Law of Large Numbers to estimate it, denote it $\\mu$), we can estimate the variance:\n", + "\n", + "$$ \\frac{1}{N}\\sum_{i=1}^N \\;(Z_i - \\mu)^2 \\rightarrow E[ \\;( Z - \\mu)^2 \\;] = Var( Z )$$\n", + "\n", + "### Expected values and probabilities \n", + "There is an even less explicit relationship between expected value and estimating probabilities. Define the *indicator function*\n", + "\n", + "$$\\mathbb{1}_A(x) = \n", + "\\begin{cases} 1 & x \\in A \\\\\\\\\n", + " 0 & else\n", + "\\end{cases}\n", + "$$\n", + "Then, by the law of large numbers, if we have many samples $X_i$, we can estimate the probability of an event $A$, denoted $P(A)$, by:\n", + "\n", + "$$ \\frac{1}{N} \\sum_{i=1}^N \\mathbb{1}_A(X_i) \\rightarrow E[\\mathbb{1}_A(X)] = P(A) $$\n", + "\n", + "Again, this is fairly obvious after a moments thought: the indicator function is only 1 if the event occurs, so we are summing only the times the event occurs and dividing by the total number of trials (consider how we usually approximate probabilities using frequencies). For example, suppose we wish to estimate the probability that a $Z \\sim Exp(.5)$ is greater than 5, and we have many samples from a $Exp(.5)$ distribution. \n", + "\n", + "\n", + "$$ P( Z > 5 ) = \\frac{1}{N}\\sum_{i=1}^N \\mathbb{1}_{z > 5 }(Z_i) $$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0001\n" + ] + } + ], + "source": [ + "N = 10000\n", + "print( np.mean( [ np.random.exponential( 0.5 ) > 5 for i in range(N) ] ) )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### What does this all have to do with Bayesian statistics? \n", + "\n", + "\n", + "*Point estimates*, to be introduced in the next chapter, in Bayesian inference are computed using expected values. In more analytical Bayesian inference, we would have been required to evaluate complicated expected values represented as multi-dimensional integrals. No longer. If we can sample from the posterior distribution directly, we simply need to evaluate averages. Much easier. If accuracy is a priority, plots like the ones above show how fast you are converging. And if further accuracy is desired, just take more samples from the posterior. \n", + "\n", + "When is enough enough? When can you stop drawing samples from the posterior? That is the practitioners decision, and also dependent on the variance of the samples (recall from above a high variance means the average will converge slower). \n", + "\n", + "We also should understand when the Law of Large Numbers fails. As the name implies, and comparing the graphs above for small $N$, the Law is only true for large sample sizes. Without this, the asymptotic result is not reliable. Knowing in what situations the Law fails can give us *confidence in how unconfident we should be*. The next section deals with this issue." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Disorder of Small Numbers\n", + "\n", + "The Law of Large Numbers is only valid as $N$ gets *infinitely* large: never truly attainable. While the law is a powerful tool, it is foolhardy to apply it liberally. Our next example illustrates this.\n", + "\n", + "\n", + "##### Example: Aggregated geographic data\n", + "\n", + "\n", + "Often data comes in aggregated form. For instance, data may be grouped by state, county, or city level. Of course, the population numbers vary per geographic area. If the data is an average of some characteristic of each the geographic areas, we must be conscious of the Law of Large Numbers and how it can *fail* for areas with small populations.\n", + "\n", + "We will observe this on a toy dataset. Suppose there are five thousand counties in our dataset. Furthermore, population number in each state are uniformly distributed between 100 and 1500. The way the population numbers are generated is irrelevant to the discussion, so we do not justify this. We are interested in measuring the average height of individuals per county. Unbeknownst to us, height does **not** vary across county, and each individual, regardless of the county he or she is currently living in, has the same distribution of what their height may be:\n", + "\n", + "$$ \\text{height} \\sim \\text{Normal}(150, 15 ) $$\n", + "\n", + "We aggregate the individuals at the county level, so we only have data for the *average in the county*. What might our dataset look like?" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize( 12.5, 4) \n", + "std_height = 15\n", + "mean_height = 150\n", + "\n", + "n_counties = 5000\n", + "pop_generator = np.random.randint\n", + "norm = np.random.normal\n", + "\n", + "#generate some artificial population numbers\n", + "population = pop_generator(100, 1500, n_counties )\n", + "\n", + "average_across_county = np.zeros( n_counties )\n", + "for i in range( n_counties ):\n", + " #generate some individuals and take the mean\n", + " average_across_county[i] = norm(mean_height, 1./std_height,\n", + " population[i] ).mean()\n", + " \n", + "#located the counties with the apparently most extreme average heights.\n", + "i_min = np.argmin( average_across_county )\n", + "i_max = np.argmax( average_across_county )\n", + "\n", + "#plot population size vs. recorded average\n", + "plt.scatter( population, average_across_county, alpha = 0.5, c=\"#7A68A6\")\n", + "plt.scatter( [ population[i_min], population[i_max] ], \n", + " [average_across_county[i_min], average_across_county[i_max] ],\n", + " s = 60, marker = \"o\", facecolors = \"none\",\n", + " edgecolors = \"#A60628\", linewidths = 1.5, \n", + " label=\"extreme heights\")\n", + "\n", + "plt.xlim( 100, 1500 )\n", + "plt.title( \"Average height vs. County Population\")\n", + "plt.xlabel(\"County Population\")\n", + "plt.ylabel(\"Average height in county\")\n", + "plt.plot( [100, 1500], [150, 150], color = \"k\", label = \"true expected \\\n", + "height\", ls=\"--\" )\n", + "plt.legend(scatterpoints = 1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "What do we observe? *Without accounting for population sizes* we run the risk of making an enormous inference error: if we ignored population size, we would say that the county with the shortest and tallest individuals have been correctly circled. But this inference is wrong for the following reason. These two counties do *not* necessarily have the most extreme heights. The error results from the calculated average of smaller populations not being a good reflection of the true expected value of the population (which in truth should be $\\mu =150$). The sample size/population size/$N$, whatever you wish to call it, is simply too small to invoke the Law of Large Numbers effectively. \n", + "\n", + "We provide more damning evidence against this inference. Recall the population numbers were uniformly distributed over 100 to 1500. Our intuition should tell us that the counties with the most extreme population heights should also be uniformly spread over 100 to 1500, and certainly independent of the county's population. Not so. Below are the population sizes of the counties with the most extreme heights." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Population sizes of 10 'shortest' counties: \n", + "[112 112 292 175 360 166 540 135 101 113] \n", + "\n", + "Population sizes of 10 'tallest' counties: \n", + "[122 148 141 141 134 237 117 281 158 216]\n" + ] + } + ], + "source": [ + "print(\"Population sizes of 10 'shortest' counties: \")\n", + "print(population[ np.argsort( average_across_county )[:10] ], '\\n')\n", + "print(\"Population sizes of 10 'tallest' counties: \")\n", + "print(population[ np.argsort( -average_across_county )[:10] ])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Not at all uniform over 100 to 1500. This is an absolute failure of the Law of Large Numbers. \n", + "\n", + "##### Example: Kaggle's *U.S. Census Return Rate Challenge*\n", + "\n", + "Below is data from the 2010 US census, which partitions populations beyond counties to the level of block groups (which are aggregates of city blocks or equivalents). The dataset is from a Kaggle machine learning competition some colleagues and I participated in. The objective was to predict the census letter mail-back rate of a group block, measured between 0 and 100, using census variables (median income, number of females in the block-group, number of trailer parks, average number of children etc.). Below we plot the census mail-back rate versus block group population:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize( 12.5, 6.5 )\n", + "data = np.genfromtxt( \"./data/census_data.csv\", skip_header=1, \n", + " delimiter= \",\")\n", + "plt.scatter( data[:,1], data[:,0], alpha = 0.5, c=\"#7A68A6\")\n", + "plt.title(\"Census mail-back rate vs Population\")\n", + "plt.ylabel(\"Mail-back rate\")\n", + "plt.xlabel(\"population of block-group\")\n", + "plt.xlim(-100, 15e3 )\n", + "plt.ylim( -5, 105)\n", + "\n", + "i_min = np.argmin( data[:,0] )\n", + "i_max = np.argmax( data[:,0] )\n", + " \n", + "plt.scatter( [ data[i_min,1], data[i_max, 1] ], \n", + " [ data[i_min,0], data[i_max,0] ],\n", + " s = 60, marker = \"o\", facecolors = \"none\",\n", + " edgecolors = \"#A60628\", linewidths = 1.5, \n", + " label=\"most extreme points\")\n", + "\n", + "plt.legend(scatterpoints = 1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above is a classic phenomenon in statistics. I say *classic* referring to the \"shape\" of the scatter plot above. It follows a classic triangular form, that tightens as we increase the sample size (as the Law of Large Numbers becomes more exact). \n", + "\n", + "I am perhaps overstressing the point and maybe I should have titled the book *\"You don't have big data problems!\"*, but here again is an example of the trouble with *small datasets*, not big ones. Simply, small datasets cannot be processed using the Law of Large Numbers. Compare with applying the Law without hassle to big datasets (ex. big data). I mentioned earlier that paradoxically big data prediction problems are solved by relatively simple algorithms. The paradox is partially resolved by understanding that the Law of Large Numbers creates solutions that are *stable*, i.e. adding or subtracting a few data points will not affect the solution much. On the other hand, adding or removing data points to a small dataset can create very different results. \n", + "\n", + "For further reading on the hidden dangers of the Law of Large Numbers, I would highly recommend the excellent manuscript [The Most Dangerous Equation](http://nsm.uh.edu/~dgraur/niv/TheMostDangerousEquation.pdf). " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: How to order Reddit submissions\n", + "\n", + "You may have disagreed with the original statement that the Law of Large numbers is known to everyone, but only implicitly in our subconscious decision making. Consider ratings on online products: how often do you trust an average 5-star rating if there is only 1 reviewer? 2 reviewers? 3 reviewers? We implicitly understand that with such few reviewers that the average rating is **not** a good reflection of the true value of the product.\n", + "\n", + "This has created flaws in how we sort items, and more generally, how we compare items. Many people have realized that sorting online search results by their rating, whether the objects be books, videos, or online comments, return poor results. Often the seemingly top videos or comments have perfect ratings only from a few enthusiastic fans, and truly more quality videos or comments are hidden in later pages with *falsely-substandard* ratings of around 4.8. How can we correct this?\n", + "\n", + "Consider the popular site Reddit (I purposefully did not link to the website as you would never come back). The site hosts links to stories or images, called submissions, for people to comment on. Redditors can vote up or down on each submission (called upvotes and downvotes). Reddit, by default, will sort submissions to a given subreddit by Hot, that is, the submissions that have the most upvotes recently.\n", + "\n", + "\n", + "\n", + "\n", + "How would you determine which submissions are the best? There are a number of ways to achieve this:\n", + "\n", + "1. *Popularity*: A submission is considered good if it has many upvotes. A problem with this model is that a submission with hundreds of upvotes, but thousands of downvotes. While being very *popular*, the submission is likely more controversial than best.\n", + "2. *Difference*: Using the *difference* of upvotes and downvotes. This solves the above problem, but fails when we consider the temporal nature of submission. Depending on when a submission is posted, the website may be experiencing high or low traffic. The difference method will bias the *Top* submissions to be the those made during high traffic periods, which have accumulated more upvotes than submissions that were not so graced, but are not necessarily the best.\n", + "3. *Time adjusted*: Consider using Difference divided by the age of the submission. This creates a *rate*, something like *difference per second*, or *per minute*. An immediate counter-example is, if we use per second, a 1 second old submission with 1 upvote would be better than a 100 second old submission with 99 upvotes. One can avoid this by only considering at least t second old submission. But what is a good t value? Does this mean no submission younger than t is good? We end up comparing unstable quantities with stable quantities (young vs. old submissions).\n", + "3. *Ratio*: Rank submissions by the ratio of upvotes to total number of votes (upvotes plus downvotes). This solves the temporal issue, such that new submissions who score well can be considered Top just as likely as older submissions, provided they have many upvotes to total votes. The problem here is that a submission with a single upvote (ratio = 1.0) will beat a submission with 999 upvotes and 1 downvote (ratio = 0.999), but clearly the latter submission is *more likely* to be better.\n", + "\n", + "I used the phrase *more likely* for good reason. It is possible that the former submission, with a single upvote, is in fact a better submission than the later with 999 upvotes. The hesitation to agree with this is because we have not seen the other 999 potential votes the former submission might get. Perhaps it will achieve an additional 999 upvotes and 0 downvotes and be considered better than the latter, though not likely.\n", + "\n", + "What we really want is an estimate of the *true upvote ratio*. Note that the true upvote ratio is not the same as the observed upvote ratio: the true upvote ratio is hidden, and we only observe upvotes vs. downvotes (one can think of the true upvote ratio as \"what is the underlying probability someone gives this submission a upvote, versus a downvote\"). So the 999 upvote/1 downvote submission probably has a true upvote ratio close to 1, which we can assert with confidence thanks to the Law of Large Numbers, but on the other hand we are much less certain about the true upvote ratio of the submission with only a single upvote. Sounds like a Bayesian problem to me.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One way to determine a prior on the upvote ratio is to look at the historical distribution of upvote ratios. This can be accomplished by scraping Reddit's submissions and determining a distribution. There are a few problems with this technique though:\n", + "\n", + "1. Skewed data: The vast majority of submissions have very few votes, hence there will be many submissions with ratios near the extremes (see the \"triangular plot\" in the above Kaggle dataset), effectively skewing our distribution to the extremes. One could try to only use submissions with votes greater than some threshold. Again, problems are encountered. There is a tradeoff between number of submissions available to use and a higher threshold with associated ratio precision. \n", + "2. Biased data: Reddit is composed of different subpages, called subreddits. Two examples are *r/aww*, which posts pics of cute animals, and *r/politics*. It is very likely that the user behaviour towards submissions of these two subreddits are very different: visitors are likely friendly and affectionate in the former, and would therefore upvote submissions more, compared to the latter, where submissions are likely to be controversial and disagreed upon. Therefore not all submissions are the same. \n", + "\n", + "\n", + "In light of these, I think it is better to use a `Uniform` prior.\n", + "\n", + "\n", + "With our prior in place, we can find the posterior of the true upvote ratio. The Python script `top_showerthoughts_submissions.py` will scrape the best posts from the `showerthoughts` community on Reddit. This is a text-only community so the title of each post *is* the post. Below is the top post as well as some other sample posts:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Post contents: \n", + "\n", + "It’s socially acceptable to kiss with our mouth sphincters. But not kiss with our butt sphincters\n" + ] + } + ], + "source": [ + "#adding a number to the end of the %run call will get the ith top post.\n", + "#please notice that the praw lib to get info from reddit changed its authorize functions\n", + "#u can get some info from https://praw.readthedocs.io/en/latest/getting_started/configuration/prawini.html\n", + "%run top_showerthoughts_submissions.py 2\n", + "\n", + "print(\"Post contents: \\n\")\n", + "print(top_post)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Some Submissions (out of 98 total) \n", + "-----------\n", + "\"Ironically, meteorologists study nothing about meteors.\"\n", + "upvotes/downvotes: [83 11] \n", + "\n", + "\"When cleaning house you are cleaning yourself off of stuff\"\n", + "upvotes/downvotes: [0 0] \n", + "\n", + "\"Every company shipping an electronic device powered by USB without an adapter just assumes you have a spare one. The irritating thing is that they’re usually not wrong.\"\n", + "upvotes/downvotes: [10 4] \n", + "\n", + "\"Cats don’t have lips and butt cheeks\"\n", + "upvotes/downvotes: [12 5] \n", + "\n" + ] + } + ], + "source": [ + "\"\"\"\n", + "contents: an array of the text from the last 100 top submissions to a subreddit\n", + "votes: a 2d numpy array of upvotes, downvotes for each submission.\n", + "\"\"\"\n", + "n_submissions = len(votes)\n", + "submissions = np.random.randint( n_submissions, size=4)\n", + "print(\"Some Submissions (out of %d total) \\n-----------\"%n_submissions)\n", + "for i in submissions:\n", + " print('\"' + contents[i] + '\"')\n", + " print(\"upvotes/downvotes: \",votes[i,:], \"\\n\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " For a given true upvote ratio $p$ and $N$ votes, the number of upvotes will look like a Binomial random variable with parameters $p$ and $N$. (This is because of the equivalence between upvote ratio and probability of upvoting versus downvoting, out of $N$ possible votes/trials). We create a function that performs Bayesian inference on $p$, for a particular submission's upvote/downvote pair." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "\n", + "def posterior_upvote_ratio( upvotes, downvotes, samples = 15000):\n", + " \"\"\"\n", + " This function accepts the number of upvotes and downvotes a particular submission recieved, \n", + " and the number of posterior samples to return to the user. Assumes a uniform prior.\n", + " \"\"\"\n", + " N = upvotes + downvotes\n", + " with pm.Model() as model:\n", + " upvote_ratio = pm.Uniform(\"upvote_ratio\", 0, 1)\n", + " observations = pm.Binomial( \"obs\", N, upvote_ratio, observed=upvotes)\n", + " \n", + " trace = pm.sample(samples, step=pm.NUTS(),tune=5000,chains=1)\n", + " \n", + " \n", + " return trace.posterior.upvote_ratio.data.T\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below are the resulting posterior distributions." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "NUTS: [upvote_ratio]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize( 12., 8)\n", + "posteriors = []\n", + "colours = [\"#348ABD\", \"#A60628\", \"#7A68A6\", \"#467821\", \"#CF4457\"]\n", + "for i in range(len(submissions)):\n", + " j = submissions[i]\n", + " posteriors.append( posterior_upvote_ratio( votes[j, 0], votes[j,1] ) )\n", + " plt.hist( posteriors[i], bins = 10, density = True, alpha = .9, \n", + " histtype=\"step\",color = colours[i%5], lw = 3,\n", + " label = '(%d up:%d down)\\n%s...'%(votes[j, 0], votes[j,1], contents[j][:50]) )\n", + " plt.hist( posteriors[i], bins = 10, density = True, alpha = .2, \n", + " histtype=\"stepfilled\",color = colours[i], lw = 3, )\n", + " \n", + "plt.legend(loc=\"upper left\")\n", + "plt.xlim( 0, 1)\n", + "plt.title(\"Posterior distributions of upvote ratios on different submissions\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Some distributions are very tight, others have very long tails (relatively speaking), expressing our uncertainty with what the true upvote ratio might be.\n", + "\n", + "### Sorting!\n", + "\n", + "We have been ignoring the goal of this exercise: how do we sort the submissions from *best to worst*? Of course, we cannot sort distributions, we must sort scalar numbers. There are many ways to distill a distribution down to a scalar: expressing the distribution through its expected value, or mean, is one way. Choosing the mean is a bad choice though. This is because the mean does not take into account the uncertainty of distributions.\n", + "\n", + "I suggest using the *95% least plausible value*, defined as the value such that there is only a 5% chance the true parameter is lower (think of the lower bound on the 95% credible region). Below are the posterior distributions with the 95% least-plausible value plotted:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0]\n", + " [0]\n", + " [0]\n", + " [0]] [array([0.91212337]), array([0.78778606]), array([0.74345616]), array([0.78192709])]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize( 14., 8)\n", + "N = posteriors[0].shape[0]\n", + "lower_limits = []\n", + "\n", + "for i in range(len(submissions)):\n", + " j = submissions[i]\n", + " plt.hist( posteriors[i], bins = 20, density = True, alpha = .9, \n", + " histtype=\"step\",color = colours[i], lw = 3,\n", + " label = '(%d up:%d down)\\n%s...'%(votes[j, 0], votes[j,1], contents[j][:50]) )\n", + " plt.hist( posteriors[i], bins = 20, density = True, alpha = .2, \n", + " histtype=\"stepfilled\",color = colours[i], lw = 3, )\n", + " v = np.sort( posteriors[i] )[ int(0.05*N) ]\n", + " #plt.vlines( v, 0, 15 , color = \"k\", alpha = 1, linewidths=3 )\n", + " plt.vlines( v, 0, 10 , color = colours[i], linestyles = \"--\", linewidths=3 )\n", + " lower_limits.append(v)\n", + " plt.legend(loc=\"upper left\")\n", + "\n", + "plt.legend(loc=\"upper left\")\n", + "plt.title(\"Posterior distributions of upvote ratios on different submissions\");\n", + "order = np.argsort( -np.array( lower_limits ) )\n", + "print(order, lower_limits)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The best submissions, according to our procedure, are the submissions that are *most-likely* to score a high percentage of upvotes. Visually those are the submissions with the 95% least plausible value close to 1.\n", + "\n", + "Why is sorting based on this quantity a good idea? By ordering by the 95% least plausible value, we are being the most conservative with what we think is best. When using the lower-bound of the 95% credible interval, we believe with high certainty that the 'true upvote ratio' is at the very least equal to this value (or greater), thereby ensuring that the best submissions are still on top. Under this ordering, we impose the following very natural properties:\n", + "\n", + "1. given two submissions with the same observed upvote ratio, we will assign the submission with more votes as better (since we are more confident it has a higher ratio).\n", + "2. given two submissions with the same number of votes, we still assign the submission with more upvotes as *better*.\n", + "\n", + "### But this is too slow for real-time!\n", + "\n", + "I agree, computing the posterior of every submission takes a long time, and by the time you have computed it, likely the data has changed. I delay the mathematics to the appendix, but I suggest using the following formula to compute the lower bound very fast.\n", + "\n", + "$$ \\frac{a}{a + b} - 1.65\\sqrt{ \\frac{ab}{ (a+b)^2(a + b +1 ) } }$$\n", + "\n", + "where \n", + "\\begin{align}\n", + "& a = 1 + u \\\\\\\\\n", + "& b = 1 + d \\\\\\\\\n", + "\\end{align}\n", + "\n", + "$u$ is the number of upvotes, and $d$ is the number of downvotes. The formula is a shortcut in Bayesian inference, which will be further explained in Chapter 6 when we discuss priors in more detail.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Approximate lower bounds:\n", + "[0.60091591 0.535 0.65630332 0.02368603 0.34209586 0.39235808\n", + " 0.3726793 0.63447009 0.28273871 0.02368603 0.93490542 0.44960117\n", + " 0.3605993 0.50200985 0.535 0.80491887 0.69226131 0.34209586\n", + " 0.635 0.02368603 0.02368603 0.35627885 0.7609129 0.80556899\n", + " 0.42069919 0.45268299 0.55267475 0.91892384 0.35627885 0.64814153\n", + " 0.02368603 0.51514069 0.39683271 0.74107856 0.02368603 0.56085485\n", + " 0.02368603 0.40084546 0.32754218 0.02368603 0.42360758 0.83265815\n", + " 0.93950433 0.43590471 0.02368603 0.90975941 0.02368603 0.28273871\n", + " 0.02368603 0.02368603 0.61090389 0.02368603 0.46120533 0.59147534\n", + " 0.02368603 0.92871189 0.27 0.94829855 0.59321297 0.02368603\n", + " 0.4722123 0.77097389 0.82620033 0.02368603 0.82934814 0.60993921\n", + " 0.84138267 0.49569509 0.02368603 0.77681961 0.58991998 0.32754218\n", + " 0.02368603 0.68704735 0.65475736 0.43126186 0.27775794 0.4722123\n", + " 0.55184141 0.42657558 0.45093892 0.73835967 0.59123643 0.02368603\n", + " 0.47086045 0.02368603 0.02368603 0.02368603 0.7249286 0.02368603\n", + " 0.02368603 0.89819827 0.02368603 0.02368603 0.94269956 0.30828372\n", + " 0.83540757 0.02368603]\n", + "\n", + "\n", + "Top 40 Sorted according to approximate lower bounds:\n", + "\n", + "\n", + "951 40 Finland is 1 country away from North Korea.\n", + "-------------\n", + "2493 131 Alcohol is a good solution for organic compound, but not a good solution for problems in life.\n", + "-------------\n", + "297 12 Odds are that many brilliant ideas and inventions went undeveloped, because people were too lazy or pessimistic to follow through\n", + "-------------\n", + "106 3 Finding your groceries in a new or different grocery store is an adulting scavenger hunt.\n", + "-------------\n", + "167 7 Chocolate chip pancakes is a loophole to have cookies for breakfast.\n", + "-------------\n", + "1476 111 Whoever comes up with the recommended serving sizes on food packing must not have much of an appetite.\n", + "-------------\n", + "456 34 Due to the declining population of people who own houses with garages and have kids, drummers are probably going to become very rare in the next couple generations\n", + "-------------\n", + "1625 161 Life is not a gift because you cannot reject it.\n", + "-------------\n", + "907 148 You can kill a fire but you can’t kill a water\n", + "-------------\n", + "86 10 Majority of us can't remember a single card that came with a gift but has spent countless hours looking for cards when giving gifts\n", + "-------------\n", + "30 2 Humans are too unreliable to maintain most hypothetical conspiracies\n", + "-------------\n", + "57 6 Omniscience seems great until you think about all the stuff you wouldn’t want to know\n", + "-------------\n", + "288 47 The average six-month-old dog probably knows more English than the average year-old human\n", + "-------------\n", + "11 0 Nothing sounds more lonely than going through an Escape Room by yourself.\n", + "-------------\n", + "43 5 The Piston Cup trophy is an ornamented internal organ.\n", + "-------------\n", + "136 28 It is possible that, at some point in history, a bullet randomly hit an ant.\n", + "-------------\n", + "40 6 Being read bedtime stories as a kid is probably why a lot of people watch TV to fall asleep.\n", + "-------------\n", + "29 4 Radiation can both cause and eliminate cancer.\n", + "-------------\n", + "22 3 The Roman Empire did it all without coffee.\n", + "-------------\n", + "111 28 It's amazing that in just over 100 years that humans have collectively developed the instinct to hit the brakes when they see a cop.\n", + "-------------\n", + "28 5 Every day, the chance of a bridge collapsing increases\n", + "-------------\n", + "14 2 When you cut corners, it just creates even more corners to deal with.\n", + "-------------\n", + "10 1 An explanation can never equal an experience and yet most of our recent human development has focused on increasing our ability to explain.\n", + "-------------\n", + "12 2 No one ever won an argument with their spouse by winning.\n", + "-------------\n", + "36 11 Slow motion makes any scene look dramatic while fast motion makes it look comical\n", + "-------------\n", + "20 5 A large portion of the world probably doesn’t know the pure rage that medical commercials induce.\n", + "-------------\n", + "11 2 A surprise birthday party is not really a surprise because we both knew it was your birthday.\n", + "-------------\n", + "8 1 Watching too many freakout videos on social media is why people believe the whole world is crazy.\n", + "-------------\n", + "10 2 It's impolite to post a picture of a stranger's license plate. Except when the licence plate is a word.\n", + "-------------\n", + "28 10 Fingerless gloves can’t be worn without fingers\n", + "-------------\n", + "4 0 Movies depicting rushed cross country road trips always show the characters driving down one lane country roads in the middle of nowhere instead of the highway for no fucking reason.\n", + "-------------\n", + "32 13 The universe experiences you just as much as you experience the universe\n", + "-------------\n", + "28 11 People don't downsize because the kids moved out, they downsized so the kids don't move back in.\n", + "-------------\n", + "16 5 Landlines that use the internet instead of a phone line are reverse dial-up\n", + "-------------\n", + "18 6 Amish people live like it's the early 18th century so in the 25th century there might be people who live like it's the 21st century\n", + "-------------\n", + "6 1 Winning a low chance carnival game as a kid really built up gambling addiction as an adult.\n", + "-------------\n", + "12 4 The main difference between humans and robots is that it's harder to replace human parts when they start to fail than it is to replace robot parts when they fail.\n", + "-------------\n", + "8 2 A hummingbird is a vampire of the flower world\n", + "-------------\n", + "13 5 Before the camera was invented, no one had seen themselves with their eyes closed.\n", + "-------------\n", + "13 5 Some birds probably have a fear of heights\n", + "-------------\n" + ] + } + ], + "source": [ + "def intervals(u,d):\n", + " a = 1. + u\n", + " b = 1. + d\n", + " mu = a/(a+b)\n", + " std_err = 1.65*np.sqrt( (a*b)/( (a+b)**2*(a+b+1.) ) )\n", + " return ( mu, std_err )\n", + "\n", + "print(\"Approximate lower bounds:\")\n", + "posterior_mean, std_err = intervals(votes[:,0],votes[:,1])\n", + "lb = posterior_mean - std_err\n", + "print(lb)\n", + "print(\"\\n\")\n", + "print(\"Top 40 Sorted according to approximate lower bounds:\")\n", + "print(\"\\n\")\n", + "order = np.argsort( -lb )\n", + "ordered_contents = []\n", + "for i in order[:40]:\n", + " ordered_contents.append( contents[i] )\n", + " print(votes[i,0], votes[i,1], contents[i])\n", + " print(\"-------------\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can view the ordering visually by plotting the posterior mean and bounds, and sorting by the lower bound. In the plot below, notice that the left error-bar is sorted (as we suggested this is the best way to determine an ordering), so the means, indicated by dots, do not follow any strong pattern. 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r_order = order[::-1][-40:]\n", + "plt.errorbar( posterior_mean[r_order], np.arange( len(r_order) ), \n", + " xerr=std_err[r_order], capsize=0, fmt=\"o\",\n", + " color = \"#7A68A6\")\n", + "plt.xlim( 0.3, 1)\n", + "plt.yticks( np.arange( len(r_order)-1,-1,-1 ), map( lambda x: x[:30].replace(\"\\n\",\"\"), ordered_contents) );" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the graphic above, you can see why sorting by mean would be sub-optimal." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Extension to Starred rating systems\n", + "\n", + "The above procedure works well for upvote-downvotes schemes, but what about systems that use star ratings, e.g. 5 star rating systems. Similar problems apply with simply taking the average: an item with two perfect ratings would beat an item with thousands of perfect ratings, but a single sub-perfect rating. \n", + "\n", + "\n", + "We can consider the upvote-downvote problem above as binary: 0 is a downvote, 1 if an upvote. A $N$-star rating system can be seen as a more continuous version of above, and we can set $n$ stars rewarded is equivalent to rewarding $\\frac{n}{N}$. For example, in a 5-star system, a 2 star rating corresponds to 0.4. A perfect rating is a 1. We can use the same formula as before, but with $a,b$ defined differently:\n", + "\n", + "\n", + "$$ \\frac{a}{a + b} - 1.65\\sqrt{ \\frac{ab}{ (a+b)^2(a + b +1 ) } }$$\n", + "\n", + "where \n", + "\n", + "\\begin{align}\n", + "& a = 1 + S \\\\\\\\\n", + "& b = 1 + N - S \\\\\\\\\n", + "\\end{align}\n", + "\n", + "where $N$ is the number of users who rated, and $S$ is the sum of all the ratings, under the equivalence scheme mentioned above. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Counting Github stars\n", + "\n", + "What is the average number of stars a Github repository has? How would you calculate this? There are over 6 million respositories, so there is more than enough data to invoke the Law of Large numbers. Let's start pulling some data. TODO" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Conclusion\n", + "\n", + "While the Law of Large Numbers is cool, it is only true so much as its name implies: with large sample sizes only. We have seen how our inference can be affected by not considering *how the data is shaped*. \n", + "\n", + "1. By (cheaply) drawing many samples from the posterior distributions, we can ensure that the Law of Large Number applies as we approximate expected values (which we will do in the next chapter).\n", + "\n", + "2. Bayesian inference understands that with small sample sizes, we can observe wild randomness. Our posterior distribution will reflect this by being more spread rather than tightly concentrated. Thus, our inference should be correctable.\n", + "\n", + "3. There are major implications of not considering the sample size, and trying to sort objects that are unstable leads to pathological orderings. The method provided above solves this problem.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Appendix\n", + "\n", + "##### Derivation of sorting submissions formula\n", + "\n", + "Basically what we are doing is using a Beta prior (with parameters $a=1, b=1$, which is a uniform distribution), and using a Binomial likelihood with observations $u, N = u+d$. This means our posterior is a Beta distribution with parameters $a' = 1 + u, b' = 1 + (N - u) = 1+d$. We then need to find the value, $x$, such that 0.05 probability is less than $x$. This is usually done by inverting the CDF ([Cumulative Distribution Function](http://en.wikipedia.org/wiki/Cumulative_Distribution_Function)), but the CDF of the beta, for integer parameters, is known but is a large sum [3]. \n", + "\n", + "We instead use a Normal approximation. The mean of the Beta is $\\mu = a'/(a'+b')$ and the variance is \n", + "\n", + "$$\\sigma^2 = \\frac{a'b'}{ (a' + b')^2(a'+b'+1) }$$\n", + "\n", + "Hence we solve the following equation for $x$ and have an approximate lower bound. \n", + "\n", + "$$ 0.05 = \\Phi\\left( \\frac{(x - \\mu)}{\\sigma}\\right) $$ \n", + "\n", + "$\\Phi$ being the [cumulative distribution for the normal distribution](http://en.wikipedia.org/wiki/Normal_distribution#Cumulative_distribution)\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Exercises\n", + "\n", + "1\\. How would you estimate the quantity $E\\left[ \\cos{X} \\right]$, where $X \\sim \\text{Exp}(4)$? What about $E\\left[ \\cos{X} | X \\lt 1\\right]$, i.e. the expected value *given* we know $X$ is less than 1? Would you need more samples than the original samples size to be equally accurate?" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "## Enter code here\n", + "import scipy.stats as stats\n", + "exp = stats.expon( scale=4 )\n", + "N = 1e5\n", + "X = exp.rvs( int(N) )\n", + "## ..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "2\\. The following table was located in the paper \"Going for Three: Predicting the Likelihood of Field Goal Success with Logistic Regression\" [2]. The table ranks football field-goal kickers by their percent of non-misses. What mistake have the researchers made?\n", + "\n", + "-----\n", + "\n", + "#### Kicker Careers Ranked by Make Percentage\n", + "
Rank Kicker Make % Number of Kicks
1 Garrett Hartley 87.7 57
2 Matt Stover 86.8 335
3 Robbie Gould 86.2 224
4 Rob Bironas 86.1 223
5 Shayne Graham 85.4 254
… … …
51 Dave Rayner 72.2 90
52 Nick Novak 71.9 64
53 Tim Seder 71.0 62
54 Jose Cortez 70.7 75
55 Wade Richey 66.1 56
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In August 2013, [a popular post](http://bpodgursky.wordpress.com/2013/08/21/average-income-per-programming-language/) on the average income per programmer of different languages was trending. Here's the summary chart: (reproduced without permission, cause when you lie with stats, you gunna get the hammer). What do you notice about the extremes?\n", + "\n", + "------\n", + "\n", + "#### Average household income by programming language\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
LanguageAverage Household Income ($)Data Points
Puppet87,589.29112
Haskell89,973.82191
PHP94,031.19978
CoffeeScript94,890.80435
VimL94,967.11532
Shell96,930.54979
Lua96,930.69101
Erlang97,306.55168
Clojure97,500.00269
Python97,578.872314
JavaScript97,598.753443
Emacs Lisp97,774.65355
C#97,823.31665
Ruby98,238.743242
C++99,147.93845
CSS99,881.40527
Perl100,295.45990
C100,766.512120
Go101,158.01231
Scala101,460.91243
ColdFusion101,536.70109
Objective-C101,801.60562
Groovy102,650.86116
Java103,179.391402
XSLT106,199.19123
ActionScript108,119.47113
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### References\n", + "\n", + "1. Wainer, Howard. *The Most Dangerous Equation*. American Scientist, Volume 95.\n", + "2. Clarck, Torin K., Aaron W. Johnson, and Alexander J. Stimpson. \"Going for Three: Predicting the Likelihood of Field Goal Success with Logistic Regression.\" (2013): n. page. [Web](http://www.sloansportsconference.com/wp-content/uploads/2013/Going%20for%20Three%20Predicting%20the%20Likelihood%20of%20Field%20Goal%20Success%20with%20Logistic%20Regression.pdf). 20 Feb. 2013.\n", + "3. http://en.wikipedia.org/wiki/Beta_function#Incomplete_beta_function" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.core.display import HTML\n", + "def css_styling():\n", + " styles = open(\"../styles/custom.css\", \"r\").read()\n", + " return HTML(styles)\n", + "css_styling()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "pymc_env", + "language": "python", + "name": "pymc_env" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Chapter4_TheGreatestTheoremNeverTold/top_showerthoughts_submissions.py b/Chapter4_TheGreatestTheoremNeverTold/top_showerthoughts_submissions.py index 90df9644..1c3bf30e 100644 --- a/Chapter4_TheGreatestTheoremNeverTold/top_showerthoughts_submissions.py +++ b/Chapter4_TheGreatestTheoremNeverTold/top_showerthoughts_submissions.py @@ -6,10 +6,16 @@ import praw -reddit = praw.Reddit("BayesianMethodsForHackers") -subreddit = reddit.get_subreddit("showerthoughts") -top_submissions = subreddit.get_top(limit=100) +#subreddit = reddit.get_subreddit("showerthoughts") + +#top_submissions = subreddit.get_top(limit=100) + +#update old praw usage to current version (7.6.0) +#please notice that new Reddit Object usage, especially the praw.ini file +reddit = praw.Reddit("BayesianMethodsForHackers",user_agent="BMFH") +top_submissions = reddit.subreddit("showerthoughts").new(limit=100) + n_sub = int( sys.argv[1] ) if sys.argv[1] else 1 @@ -17,7 +23,6 @@ while i < n_sub: top_submission = next(top_submissions) i+=1 - top_post = top_submission.title upvotes = [] @@ -26,7 +31,7 @@ for sub in top_submissions: try: - ratio = reddit.get_submission(sub.permalink).upvote_ratio + ratio = sub.upvote_ratio ups = int(round((ratio*sub.score)/(2*ratio - 1)) if ratio != 0.5 else round(sub.score/2)) upvotes.append(ups) downvotes.append(ups - sub.score) diff --git a/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC3.ipynb b/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC3.ipynb index c44e2665..bf249e3b 100644 --- a/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC3.ipynb +++ b/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC3.ipynb @@ -180,7 +180,10 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -236,7 +239,10 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -277,7 +283,10 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -341,7 +350,10 @@ "cell_type": "code", "execution_count": 5, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -406,7 +418,10 @@ "cell_type": "code", "execution_count": 6, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -519,7 +534,10 @@ "cell_type": "code", "execution_count": 7, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -582,7 +600,10 @@ "cell_type": "code", "execution_count": 8, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -630,7 +651,10 @@ "cell_type": "code", "execution_count": 9, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -664,7 +688,9 @@ "execution_count": 10, "metadata": { "collapsed": false, - "scrolled": false + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -715,6 +741,9 @@ "execution_count": 11, "metadata": { "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, "scrolled": true }, "outputs": [ @@ -828,7 +857,10 @@ "cell_type": "code", "execution_count": 12, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -925,7 +957,10 @@ "cell_type": "code", "execution_count": 13, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -974,7 +1009,10 @@ "cell_type": "code", "execution_count": 14, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1016,7 +1054,10 @@ "cell_type": "code", "execution_count": 15, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1055,7 +1096,10 @@ "cell_type": "code", "execution_count": 16, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1087,7 +1131,10 @@ "cell_type": "code", "execution_count": 17, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1135,7 +1182,10 @@ "cell_type": "code", "execution_count": 18, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1155,7 +1205,10 @@ "cell_type": "code", "execution_count": 19, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1217,7 +1270,10 @@ "cell_type": "code", "execution_count": 20, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -1257,7 +1313,10 @@ "cell_type": "code", "execution_count": 21, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -1274,7 +1333,10 @@ "cell_type": "code", "execution_count": 22, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1309,7 +1371,9 @@ "execution_count": 23, "metadata": { "collapsed": false, - "scrolled": false + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1355,7 +1419,10 @@ "cell_type": "code", "execution_count": 24, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1427,7 +1494,10 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1515,7 +1585,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1529,9 +1599,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.9.12" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 4 } diff --git a/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC_current.ipynb b/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC_current.ipynb new file mode 100644 index 00000000..ec25b027 --- /dev/null +++ b/Chapter5_LossFunctions/Ch5_LossFunctions_PyMC_current.ipynb @@ -0,0 +1,2034 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 5\n", + "\n", + "`Original content created by Cam Davidson-Pilon`\n", + "\n", + "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", + "\n", + "`Ported to PyMC last by Kurisu Chan (@miemiekurisu)`\n", + "____\n", + "\n", + "\n", + "### Would you rather lose an arm or a leg?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Statisticians can be a sour bunch. Instead of considering their winnings, they only measure how much they have lost. In fact, they consider their wins as *negative losses*. But what's interesting is *how they measure their losses.*\n", + "\n", + "For example, consider the following example:\n", + "\n", + "> A meteorologist is predicting the probability of a possible hurricane striking his city. He estimates, with 95% confidence, that the probability of it *not* striking is between 99% - 100%. He is very happy with his precision and advises the city that a major evacuation is unnecessary. Unfortunately, the hurricane does strike and the city is flooded. \n", + "\n", + "This stylized example shows the flaw in using a pure accuracy metric to measure outcomes. Using a measure that emphasizes estimation accuracy, while an appealing and *objective* thing to do, misses the point of why you are even performing the statistical inference in the first place: results of inference. The author Nassim Taleb of *The Black Swan* and *Antifragility* stresses the importance of the *payoffs* of decisions, *not the accuracy*. Taleb distills this quite succinctly: \"I would rather be vaguely right than very wrong.\" " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loss Functions\n", + "\n", + "We introduce what statisticians and decision theorists call *loss functions*. A loss function is a function of the true parameter, and an estimate of that parameter\n", + "\n", + "$$ L( \\theta, \\hat{\\theta} ) = f( \\theta, \\hat{\\theta} )$$\n", + "\n", + "The important point of loss functions is that it measures how *bad* our current estimate is: the larger the loss, the worse the estimate is according to the loss function. A simple, and very common, example of a loss function is the *squared-error loss*:\n", + "\n", + "$$ L( \\theta, \\hat{\\theta} ) = ( \\theta - \\hat{\\theta} )^2$$\n", + "\n", + "The squared-error loss function is used in estimators like linear regression, UMVUEs and many areas of machine learning. We can also consider an asymmetric squared-error loss function, something like:\n", + "\n", + "$$ L( \\theta, \\hat{\\theta} ) = \\begin{cases} ( \\theta - \\hat{\\theta} )^2 & \\hat{\\theta} \\lt \\theta \\\\\\\\ c( \\theta - \\hat{\\theta} )^2 & \\hat{\\theta} \\ge \\theta, \\;\\; 0\\lt c \\lt 1 \\end{cases}$$\n", + "\n", + "\n", + "which represents that estimating a value larger than the true estimate is preferable to estimating a value below. A situation where this might be useful is in estimating web traffic for the next month, where an over-estimated outlook is preferred so as to avoid an underallocation of server resources. \n", + "\n", + "A negative property about the squared-error loss is that it puts a disproportionate emphasis on large outliers. This is because the loss increases quadratically, and not linearly, as the estimate moves away. That is, the penalty of being three units away is much less than being five units away, but the penalty is not much greater than being one unit away, though in both cases the magnitude of difference is the same:\n", + "\n", + "$$ \\frac{1^2}{3^2} \\lt \\frac{3^2}{5^2}, \\;\\; \\text{although} \\;\\; 3-1 = 5-3 $$\n", + "\n", + "This loss function imposes that large errors are *very* bad. A more *robust* loss function that increases linearly with the difference is the *absolute-loss*\n", + "\n", + "$$ L( \\theta, \\hat{\\theta} ) = | \\theta - \\hat{\\theta} | $$\n", + "\n", + "Other popular loss functions include:\n", + "\n", + "- $L( \\theta, \\hat{\\theta} ) = \\mathbb{1}_{ \\hat{\\theta} \\neq \\theta }$ is the zero-one loss often used in machine learning classification algorithms.\n", + "- $L( \\theta, \\hat{\\theta} ) = -\\theta\\log( \\hat{\\theta} ) - (1- \\theta)\\log( 1 - \\hat{\\theta} ), \\; \\; \\theta \\in {0,1}, \\; \\hat{\\theta} \\in [0,1]$, called the *log-loss*, also used in machine learning. \n", + "\n", + "Historically, loss functions have been motivated from 1) mathematical convenience, and 2) they are robust to application, i.e., they are objective measures of loss. The first reason has really held back the full breadth of loss functions. With computers being agnostic to mathematical convenience, we are free to design our own loss functions, which we take full advantage of later in this Chapter.\n", + "\n", + "With respect to the second point, the above loss functions are indeed objective, in that they are most often a function of the difference between estimate and true parameter, independent of signage or payoff of choosing that estimate. This last point, its independence of payoff, causes quite pathological results though. Consider our hurricane example above: the statistician equivalently predicted that the probability of the hurricane striking was between 0% to 1%. But if he had ignored being precise and instead focused on outcomes (99% chance of no flood, 1% chance of flood), he might have advised differently. \n", + "\n", + "By shifting our focus from trying to be incredibly precise about parameter estimation to focusing on the outcomes of our parameter estimation, we can customize our estimates to be optimized for our application. This requires us to design new loss functions that reflect our goals and outcomes. Some examples of more interesting loss functions:\n", + "\n", + "\n", + "- $L( \\theta, \\hat{\\theta} ) = \\frac{ | \\theta - \\hat{\\theta} | }{ \\theta(1-\\theta) }, \\; \\; \\hat{\\theta}, \\theta \\in [0,1]$ emphasizes an estimate closer to 0 or 1 since if the true value $\\theta$ is near 0 or 1, the loss will be *very* large unless $\\hat{\\theta}$ is similarly close to 0 or 1. \n", + "This loss function might be used by a political pundit whose job requires him or her to give confident \"Yes/No\" answers. This loss reflects that if the true parameter is close to 1 (for example, if a political outcome is very likely to occur), he or she would want to strongly agree as to not look like a skeptic. \n", + "\n", + "- $L( \\theta, \\hat{\\theta} ) = 1 - \\exp \\left( -(\\theta - \\hat{\\theta} )^2 \\right)$ is bounded between 0 and 1 and reflects that the user is indifferent to sufficiently-far-away estimates. It is similar to the zero-one loss above, but not quite as penalizing to estimates that are close to the true parameter. \n", + "- Complicated non-linear loss functions can programmed: \n", + "\n", + " def loss(true_value, estimate):\n", + " if estimate*true_value > 0:\n", + " return abs(estimate - true_value)\n", + " else:\n", + " return abs(estimate)*(estimate - true_value)**2\n", + " \n", + "\n", + "\n", + "- Another example is from the book *The Signal and The Noise*. Weather forecasters have an interesting loss function for their predictions.\n", + "\n", + "\n", + "> People notice one type of mistake — the failure to predict rain — more than other, false alarms. If it rains when it isn't supposed to, they curse the weatherman for ruining their picnic, whereas an unexpectedly sunny day is taken as a serendipitous bonus.\n", + "\n", + "> [The Weather Channel's bias] is limited to slightly exaggerating the probability of rain when it is unlikely to occur — saying there is a 20 percent change when they know it is really a 5 or 10 percent chance — covering their butts in the case of an unexpected sprinkle.\n", + "\n", + "\n", + "As you can see, loss functions can be used for good and evil: with great power, comes great — well you know.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loss functions in the real world\n", + "\n", + "So far we have been under the unrealistic assumption that we know the true parameter. Of course if we knew the true parameter, bothering to guess an estimate is pointless. Hence a loss function is really only practical when the true parameter is unknown. \n", + "\n", + "In Bayesian inference, we have a mindset that the unknown parameters are really random variables with prior and posterior distributions. Concerning the posterior distribution, a value drawn from it is a *possible* realization of what the true parameter could be. Given that realization, we can compute a loss associated with an estimate. As we have a whole distribution of what the unknown parameter could be (the posterior), we should be more interested in computing the *expected loss* given an estimate. This expected loss is a better estimate of the true loss than comparing the given loss from only a single sample from the posterior.\n", + "\n", + "First it will be useful to explain a *Bayesian point estimate*. The systems and machinery present in the modern world are not built to accept posterior distributions as input. It is also rude to hand someone over a distribution when all they asked for was an estimate. In the course of an individual's day, when faced with uncertainty we still act by distilling our uncertainty down to a single action. Similarly, we need to distill our posterior distribution down to a single value (or vector in the multivariate case). If the value is chosen intelligently, we can avoid the flaw of frequentist methodologies that mask the uncertainty and provide a more informative result.The value chosen, if from a Bayesian posterior, is a Bayesian point estimate. \n", + "\n", + "Suppose $P(\\theta | X)$ is the posterior distribution of $\\theta$ after observing data $X$, then the following function is understandable as the *expected loss of choosing estimate $\\hat{\\theta}$ to estimate $\\theta$*:\n", + "\n", + "$$ l(\\hat{\\theta} ) = E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] $$\n", + "\n", + "This is also known as the *risk* of estimate $\\hat{\\theta}$. The subscript $\\theta$ under the expectation symbol is used to denote that $\\theta$ is the unknown (random) variable in the expectation, something that at first can be difficult to consider.\n", + "\n", + "We spent all of last chapter discussing how to approximate expected values. Given $N$ samples $\\theta_i,\\; i=1,...,N$ from the posterior distribution, and a loss function $L$, we can approximate the expected loss of using estimate $\\hat{\\theta}$ by the Law of Large Numbers:\n", + "\n", + "$$\\frac{1}{N} \\sum_{i=1}^N \\;L(\\theta_i, \\hat{\\theta} ) \\approx E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] = l(\\hat{\\theta} ) $$\n", + "\n", + "Notice that measuring your loss via an *expected value* uses more information from the distribution than the MAP estimate which, if you recall, will only find the maximum value of the distribution and ignore the shape of the distribution. Ignoring information can over-expose yourself to tail risks, like the unlikely hurricane, and leaves your estimate ignorant of how ignorant you really are about the parameter.\n", + "\n", + "Similarly, compare this with frequentist methods, that traditionally only aim to minimize the error, and do not consider the *loss associated with the result of that error*. Compound this with the fact that frequentist methods are almost guaranteed to never be absolutely accurate. Bayesian point estimates fix this by planning ahead: your estimate is going to be wrong, you might as well err on the right side of wrong." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Optimizing for the *Showcase* on *The Price is Right*\n", + "\n", + "Bless you if you are ever chosen as a contestant on the Price is Right, for here we will show you how to optimize your final price on the *Showcase*. For those who forget the rules:\n", + "\n", + "\n", + "1. Two contestants compete in *The Showcase*. \n", + "2. Each contestant is shown a unique suite of prizes.\n", + "3. After the viewing, the contestants are asked to bid on the price for their unique suite of prizes.\n", + "4. If a bid price is over the actual price, the bid's owner is disqualified from winning.\n", + "5. If a bid price is under the true price by less than $250, the winner is awarded both prizes.\n", + "\n", + "The difficulty in the game is balancing your uncertainty in the prices, keeping your bid low enough so as to not bid over, and trying to bid close to the price.\n", + "\n", + "Suppose we have recorded the *Showcases* from previous *The Price is Right* episodes and have *prior* beliefs about what distribution the true price follows. For simplicity, suppose it follows a Normal:\n", + "\n", + "\n", + "$$\\text{True Price} \\sim \\text{Normal}(\\mu_p, \\sigma_p )$$\n", + "\n", + "\n", + "In a later chapter, we will actually use *real Price is Right Showcase data* to form the historical prior, but this requires some advanced PyMC use so we will not use it here. For now, we will assume $\\mu_p = 35 000$ and $\\sigma_p = 7500$.\n", + "\n", + "We need a model of how we should be playing the *Showcase*. For each prize in the prize suite, we have an idea of what it might cost, but this guess could differ significantly from the true price. (Couple this with increased pressure being onstage and you can see why some bids are so wildly off). Let's suppose your beliefs about the prices of prizes also follow Normal distributions:\n", + "\n", + "$$ \\text{Prize}_i \\sim \\text{Normal}(\\mu_i, \\sigma_i ),\\;\\; i=1,2$$\n", + "\n", + "This is really why Bayesian analysis is great: we can specify what we think a fair price is through the $\\mu_i$ parameter, and express uncertainty of our guess in the $\\sigma_i$ parameter. \n", + "\n", + "We'll assume two prizes per suite for brevity, but this can be extended to any number. \n", + "The true price of the prize suite is then given by $\\text{Prize}_1 + \\text{Prize}_2 + \\epsilon$, \n", + "where $\\epsilon$ is some error term.\n", + "\n", + "We are interested in the updated $\\text{True Price}$ given we have observed both prizes and have belief distributions about them. We can perform this using PyMC. \n", + "\n", + "Lets make some values concrete. Suppose there are two prizes in the observed prize suite: \n", + "\n", + "1. A trip to wonderful Toronto, Canada! \n", + "2. A lovely new snowblower!\n", + "\n", + "We have some guesses about the true prices of these objects, but we are also pretty uncertain about them. I can express this uncertainty through the parameters of the Normals:\n", + "\n", + "\n", + "\\begin{align}\n", + "& \\text{snowblower} \\sim \\text{Normal}(3 000, 500 )\\\\\\\\\n", + "& \\text{Toronto} \\sim \\text{Normal}(12 000, 3000 )\\\\\\\\\n", + "\\end{align}\n", + "\n", + "For example, I believe that the true price of the trip to Toronto is 12 000 dollars, and that there is a 68.2% chance the price falls 1 standard deviation away from this, i.e. my confidence is that there is a 68.2% chance the trip is in [9 000, 15 000].\n", + "\n", + "We can create some PyMC code to perform inference on the true price of the suite." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "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", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mtl\n", + "mtl.style.use(\"ggplot\")\n", + "\n", + "figsize(12.5, 9)\n", + "\n", + "norm_pdf = stats.norm.pdf\n", + "\n", + "plt.subplot(311)\n", + "x = np.linspace(0, 60000, 200)\n", + "sp1 = plt.fill_between(x , 0, norm_pdf(x, 35000, 7500), \n", + " color = \"#348ABD\", lw = 3, alpha = 0.6,\n", + " label = \"historical total prices\")\n", + "p1 = plt.Rectangle((0, 0), 1, 1, fc=sp1.get_facecolor()[0])\n", + "plt.legend([p1], [sp1.get_label()])\n", + "\n", + "plt.subplot(312)\n", + "x = np.linspace(0, 10000, 200)\n", + "sp2 = plt.fill_between(x , 0, norm_pdf(x, 3000, 500), \n", + " color = \"#A60628\", lw = 3, alpha = 0.6,\n", + " label=\"snowblower price guess\")\n", + "\n", + "p2 = plt.Rectangle((0, 0), 1, 1, fc=sp2.get_facecolor()[0])\n", + "plt.legend([p2], [sp2.get_label()])\n", + "\n", + "plt.subplot(313)\n", + "x = np.linspace(0, 25000, 200)\n", + "sp3 = plt.fill_between(x , 0, norm_pdf(x, 12000, 3000), \n", + " color = \"#7A68A6\", lw = 3, alpha = 0.6,\n", + " label = \"Trip price guess\")\n", + "plt.autoscale(tight=True)\n", + "p3 = plt.Rectangle((0, 0), 1, 1, fc=sp3.get_facecolor()[0])\n", + "plt.legend([p3], [sp3.get_label()]);" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Sequential sampling (1 chains in 1 job)\n", + "NUTS: [true_price, first_prize, second_prize]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [60000/60000 00:21<00:00 Sampling chain 0, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 1 chain for 10_000 tune and 50_000 draw iterations (10_000 + 50_000 draws total) took 21 seconds.\n" + ] + } + ], + "source": [ + "import pymc as pm\n", + "\n", + "data_mu = [3e3, 12e3]\n", + "\n", + "data_std = [5e2, 3e3] \n", + "\n", + "mu_prior = 35e3\n", + "std_prior = 75e2\n", + "with pm.Model() as model:\n", + " true_price = pm.Normal(\"true_price\", mu=mu_prior, sigma=std_prior)\n", + " \n", + " prize_1 = pm.Normal(\"first_prize\", mu=data_mu[0], sigma=data_std[0])\n", + " prize_2 = pm.Normal(\"second_prize\", mu=data_mu[1], sigma=data_std[1])\n", + " price_estimate = prize_1 + prize_2\n", + " \n", + " logp = pm.logp(pm.Normal.dist(mu=price_estimate, sigma=(3e3)),true_price)\n", + " error = pm.Potential(\"error\", logp)\n", + " \n", + "\n", + " trace = pm.sample(50000, tune=10000,chains=1)\n", + " # burned_trace = trace[10000:]\n", + "\n", + "price_trace = trace.posterior.true_price.data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "\n", + "import scipy.stats as stats\n", + "\n", + "x = np.linspace(5000, 40000)\n", + "plt.plot(x, stats.norm.pdf(x, 35000, 7500), c = \"k\", lw = 2, \n", + " label = \"prior dist. of suite price\")\n", + "\n", + "_hist = plt.hist(price_trace[0], bins = 35, density= True, histtype= \"stepfilled\")\n", + "plt.title(\"Posterior of the true price estimate\")\n", + "plt.vlines(mu_prior, 0, 1.1*np.max(_hist[0]), label = \"prior's mean\",\n", + " linestyles=\"--\",color=\"black\")\n", + "plt.vlines(price_trace.mean(), 0, 1.1*np.max(_hist[0]), \\\n", + " label = \"posterior's mean\", linestyles=\"-.\",color=\"black\")\n", + "plt.legend(loc = \"upper left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that because of our two observed prizes and subsequent guesses (including uncertainty about those guesses), we shifted our mean price estimate down about \\$15,000 dollars from the previous mean price.\n", + "\n", + "A frequentist, seeing the two prizes and having the same beliefs about their prices, would bid $\\mu_1 + \\mu_2 = 35000$, regardless of any uncertainty. Meanwhile, the *naive Bayesian* would simply pick the mean of the posterior distribution. But we have more information about our eventual outcomes; we should incorporate this into our bid. We will use the loss function above to find the *best* bid (*best* according to our loss).\n", + "\n", + "What might a contestant's loss function look like? I would think it would look something like:\n", + "\n", + " def showcase_loss(guess, true_price, risk = 80000):\n", + " if true_price < guess:\n", + " return risk\n", + " elif abs(true_price - guess) <= 250:\n", + " return -2*np.abs(true_price)\n", + " else:\n", + " return np.abs(true_price - guess - 250)\n", + "\n", + "where `risk` is a parameter that defines of how bad it is if your guess is over the true price. A lower `risk` means that you are more comfortable with the idea of going over. If we do bid under and the difference is less than $250, we receive both prizes (modeled here as receiving twice the original prize). Otherwise, when we bid under the `true_price` we want to be as close as possible, hence the `else` loss is a increasing function of the distance between the guess and true price." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For every possible bid, we calculate the *expected loss* associated with that bid. We vary the `risk` parameter to see how it affects our loss:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(5000.0, 30000.0)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 7)\n", + "#numpy friendly showdown_loss\n", + "\n", + "\n", + "def showdown_loss(guess, true_price, risk = 80000):\n", + " loss = np.zeros_like(true_price)\n", + " ix = true_price < guess\n", + " loss[~ix] = np.abs(guess - true_price[~ix])\n", + " close_mask = abs(true_price - guess) <= 250\n", + " loss[close_mask] = -2*true_price[close_mask]\n", + " loss[ix] = risk\n", + " return loss\n", + "\n", + "\n", + "guesses = np.linspace(5000, 50000, 70) \n", + "risks = np.linspace(30000, 150000, 6)\n", + "expected_loss = lambda guess, risk: \\\n", + " showdown_loss(guess, price_trace, risk).mean()\n", + "\n", + "for _p in risks:\n", + " results = [expected_loss(_g, _p) for _g in guesses]\n", + " plt.plot(guesses, results, label = \"%d\"%_p)\n", + " \n", + "plt.title(\"Expected loss of different guesses, \\nvarious risk-levels of \\\n", + "overestimating\")\n", + "plt.legend(loc=\"upper left\", title=\"Risk parameter\")\n", + "plt.xlabel(\"price bid\")\n", + "plt.ylabel(\"expected loss\")\n", + "plt.xlim(5000, 30000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Minimizing our losses\n", + "\n", + "It would be wise to choose the estimate that minimizes our expected loss. This corresponds to the minimum point on each of the curves above. More formally, we would like to minimize our expected loss by finding the solution to\n", + "\n", + "$$ \\text{arg} \\min_{\\hat{\\theta}} \\;\\;E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] $$\n", + "\n", + "The minimum of the expected loss is called the *Bayes action*. We can solve for the Bayes action using Scipy's optimization routines. The function in `fmin` in `scipy.optimize` module uses an intelligent search to find a minimum (not necessarily a *global* minimum) of any uni- or multivariate function. For most purposes, `fmin` will provide you with a good answer. \n", + "\n", + "We'll compute the minimum loss for the *Showcase* example above:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "minimum at risk 30000: 14189.71\n", + "minimum at risk 54000: 13242.36\n", + "minimum at risk 78000: 12143.58\n", + "minimum at risk 102000: 12143.58\n", + "minimum at risk 126000: 11485.25\n", + "minimum at risk 150000: 11041.61\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import scipy.optimize as sop\n", + "\n", + "ax = plt.subplot(111)\n", + "\n", + "\n", + "for _p in risks:\n", + " _color = next(ax._get_lines.prop_cycler)\n", + " _min_results = sop.fmin(expected_loss, 15000, args=(_p,),disp = False)\n", + " _results = [expected_loss(_g, _p) for _g in guesses]\n", + " plt.plot(guesses, _results , color = _color['color'])\n", + " plt.scatter(_min_results, 0, s = 60, \\\n", + " color= _color['color'], label = \"%d\"%_p)\n", + " plt.vlines(_min_results, 0, 120000, color = _color['color'], linestyles=\"--\")\n", + " print(\"minimum at risk %d: %.2f\" % (_p, _min_results))\n", + " \n", + "plt.title(\"Expected loss & Bayes actions of different guesses, \\n \\\n", + "various risk-levels of overestimating\")\n", + "plt.legend(loc=\"upper left\", scatterpoints = 1, title = \"Bayes action at risk:\")\n", + "plt.xlabel(\"price guess\")\n", + "plt.ylabel(\"expected loss\")\n", + "plt.xlim(7000, 30000)\n", + "plt.ylim(-1000, 80000);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As intuition suggests, as we decrease the risk threshold (care about overbidding less), we increase our bid, willing to edge closer to the true price. It is interesting how far away our optimized loss is from the posterior mean, which was about 20 000. \n", + "\n", + "Suffice to say, in higher dimensions being able to eyeball the minimum expected loss is impossible. Hence why we require use of Scipy's `fmin` function.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "______\n", + "\n", + "### Shortcuts\n", + "\n", + "For some loss functions, the Bayes action is known in closed form. We list some of them below:\n", + "\n", + "- If using the mean-squared loss, the Bayes action is the mean of the posterior distribution, i.e. the value $$ E_{\\theta}\\left[ \\theta \\right] $$ minimizes $E_{\\theta}\\left[ \\; (\\theta - \\hat{\\theta})^2 \\; \\right]$. Computationally this requires us to calculate the average of the posterior samples [See chapter 4 on The Law of Large Numbers]\n", + "\n", + "- Whereas the *median* of the posterior distribution minimizes the expected absolute-loss. The sample median of the posterior samples is an appropriate and very accurate approximation to the true median.\n", + "\n", + "- In fact, it is possible to show that the MAP estimate is the solution to using a loss function that shrinks to the zero-one loss.\n", + "\n", + "\n", + "Maybe it is clear now why the first-introduced loss functions are used most often in the mathematics of Bayesian inference: no complicated optimizations are necessary. Luckily, we have machines to do the complications for us. \n", + "\n", + "## Machine Learning via Bayesian Methods\n", + "\n", + "Whereas frequentist methods strive to achieve the best precision about all possible parameters, machine learning cares to achieve the best *prediction* among all possible parameters. Of course, one way to achieve accurate predictions is to aim for accurate predictions, but often your prediction measure and what frequentist methods are optimizing for are very different. \n", + "\n", + "For example, least-squares linear regression is the most simple active machine learning algorithm. I say active as it engages in some learning, whereas predicting the sample mean is technically *simpler*, but is learning very little if anything. The loss that determines the coefficients of the regressors is a squared-error loss. On the other hand, if your prediction loss function (or score function, which is the negative loss) is not a squared-error, like AUC, ROC, precision, etc., your least-squares line will not be optimal for the prediction loss function. This can lead to prediction results that are suboptimal. \n", + "\n", + "Finding Bayes actions is equivalent to finding parameters that optimize *not parameter accuracy* but an arbitrary performance measure, however we wish to define performance (loss functions, AUC, ROC, precision/recall etc.).\n", + "\n", + "The next two examples demonstrate these ideas. The first example is a linear model where we can choose to predict using the least-squares loss or a novel, outcome-sensitive loss. \n", + "\n", + "The second example is adapted from a Kaggle data science project. The loss function associated with our predictions is incredibly complicated. \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "##### Example: Financial prediction\n", + "\n", + "\n", + "Suppose the future return of a stock price is very small, say 0.01 (or 1%). We have a model that predicts the stock's future price, and our profit and loss is directly tied to us acting on the prediction. How should we measure the loss associated with the model's predictions, and subsequent future predictions? A squared-error loss is agnostic to the signage and would penalize a prediction of -0.01 equally as bad a prediction of 0.03:\n", + "\n", + "$$ (0.01 - (-0.01))^2 = (0.01 - 0.03)^2 = 0.004$$\n", + "\n", + "If you had made a bet based on your model's prediction, you would have earned money with a prediction of 0.03, and lost money with a prediction of -0.01, yet our loss did not capture this. We need a better loss that takes into account the *sign* of the prediction and true value. We design a new loss that is better for financial applications below:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "\n", + "\n", + "def stock_loss(true_return, yhat, alpha = 100.):\n", + " if true_return * yhat < 0:\n", + " #opposite signs, not good\n", + " return alpha*yhat**2 - np.sign(true_return)*yhat \\\n", + " + abs(true_return) \n", + " else:\n", + " return abs(true_return - yhat)\n", + " \n", + " \n", + "true_value = .05\n", + "pred = np.linspace(-.04, .12, 75)\n", + "\n", + "plt.plot(pred, [stock_loss(true_value, _p) for _p in pred], \\\n", + " label = \"Loss associated with\\n prediction if true value = 0.05\", lw =3) \n", + "plt.vlines(0, 0, .25, linestyles=\"--\")\n", + "\n", + "plt.xlabel(\"prediction\")\n", + "plt.ylabel(\"loss\")\n", + "plt.xlim(-0.04, .12)\n", + "plt.ylim(0, 0.25)\n", + "\n", + "true_value = -.02\n", + "plt.plot(pred, [stock_loss(true_value, _p) for _p in pred], alpha = 0.6, \\\n", + " label = \"Loss associated with\\n prediction if true value = -0.02\", lw =3) \n", + "plt.legend()\n", + "plt.title(\"Stock returns loss if true value = 0.05, -0.02\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note the change in the shape of the loss as the prediction crosses zero. This loss reflects that the user really does not want to guess the wrong sign, especially be wrong *and* a large magnitude. \n", + "\n", + "Why would the user care about the magnitude? Why is the loss not 0 for predicting the correct sign? Surely, if the return is 0.01 and we bet millions we will still be (very) happy.\n", + "\n", + "Financial institutions treat downside risk, as in predicting a lot on the wrong side, and upside risk, as in predicting a lot on the right side, similarly. Both are seen as risky behaviour and discouraged. Hence why we have an increasing loss as we move further away from the true price. (With less extreme loss in the direction of the correct sign.)\n", + "\n", + "We will perform a regression on a trading signal that we believe predicts future returns well. Our dataset is artificial, as most financial data is not even close to linear. Below, we plot the data along with the least-squares line." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Code to create artificial data\n", + "N = 100\n", + "X = 0.025*np.random.randn(N)\n", + "Y = 0.5*X + 0.01*np.random.randn(N) \n", + "\n", + "ls_coef_ = np.cov(X, Y)[0,1]/np.var(X)\n", + "ls_intercept = Y.mean() - ls_coef_*X.mean()\n", + "\n", + "plt.scatter(X, Y, c=\"k\")\n", + "plt.xlabel(\"trading signal\")\n", + "plt.ylabel(\"returns\")\n", + "plt.title(\"Empirical returns vs trading signal\")\n", + "plt.plot(X, ls_coef_*X + ls_intercept, label = \"Least-squares line\")\n", + "plt.xlim(X.min(), X.max())\n", + "plt.ylim(Y.min(), Y.max())\n", + "plt.legend(loc=\"upper left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We perform a simple Bayesian linear regression on this dataset. We look for a model like:\n", + "\n", + "$$ R = \\alpha + \\beta x + \\epsilon$$\n", + "\n", + "where $\\alpha, \\beta$ are our unknown parameters and $\\epsilon \\sim \\text{Normal}(0, \\sigma)$. The most common priors on $\\beta$ and $\\alpha$ are Normal priors. We will also assign a prior on $\\sigma$, so that $\\sigma$ is uniform over 0 to 100." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [std, beta, alpha]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [8000/8000 00:01<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n" + ] + } + ], + "source": [ + "import pymc as pm\n", + "\n", + "with pm.Model() as model:\n", + " std = pm.Uniform(\"std\", 0, 100)\n", + " \n", + " beta = pm.Normal(\"beta\", mu=0, sigma=100)\n", + " alpha = pm.Normal(\"alpha\", mu=0, sigma=100)\n", + " \n", + " mean = pm.Deterministic(\"mean\", alpha + beta*X)\n", + " \n", + " obs = pm.Normal(\"obs\", mu=mean, sigma=std, observed=Y)\n", + " \n", + " trace = pm.sample()\n", + " # burned_trace = trace[20000:] " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import arviz as az\n", + "az.plot_trace(trace, var_names=[\"std\", \"beta\", \"alpha\"],figsize=(15, 12))\n", + "az.plot_posterior(trace, var_names=[\"std\", \"beta\", \"alpha\"],figsize=(20, 4));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It appears the MCMC has converged so we may continue.\n", + "\n", + "For a specific trading signal, call it $x$, the distribution of possible returns has the form:\n", + "\n", + "$$R_i(x) = \\alpha_i + \\beta_ix + \\epsilon $$\n", + "\n", + "where $\\epsilon \\sim \\text{Normal}(0, \\sigma_i)$ and $i$ indexes our posterior samples. We wish to find the solution to \n", + "\n", + "$$ \\arg \\min_{r} \\;\\;E_{R(x)}\\left[ \\; L(R(x), r) \\; \\right] $$\n", + "\n", + "according to the loss given above. This $r$ is our Bayes action for trading signal $x$. Below we plot the Bayes action over different trading signals. What do you notice?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 6)\n", + "from scipy.optimize import fmin\n", + "\n", + "\n", + "def stock_loss(price, pred, coef = 500):\n", + " \"\"\"vectorized for numpy\"\"\"\n", + " sol = np.zeros_like(price)\n", + " ix = price*pred < 0 \n", + " sol[ix] = coef*pred**2 - np.sign(price[ix])*pred + abs(price[ix])\n", + " sol[~ix] = abs(price[~ix] - pred)\n", + " return sol\n", + "\n", + "std_samples = trace.posterior[\"std\"].data\n", + "alpha_samples = trace.posterior.alpha.data\n", + "beta_samples = trace.posterior.beta.data\n", + "\n", + "N = std_samples.shape[1]\n", + "\n", + "noise = std_samples*np.random.randn(N) \n", + "\n", + "possible_outcomes = lambda signal: alpha_samples + beta_samples*signal + noise\n", + "\n", + "\n", + "opt_predictions = np.zeros(50)\n", + "trading_signals = np.linspace(X.min(), X.max(), 50)\n", + "for i, _signal in enumerate(trading_signals):\n", + " _possible_outcomes = possible_outcomes(_signal)\n", + " tomin = lambda pred: stock_loss(_possible_outcomes, pred).mean()\n", + " opt_predictions[i] = fmin(tomin, 0, disp = False)\n", + " \n", + " \n", + "plt.xlabel(\"trading signal\")\n", + "plt.ylabel(\"prediction\")\n", + "plt.title(\"Least-squares prediction vs. Bayes action prediction\")\n", + "plt.plot(X, ls_coef_*X + ls_intercept, label =\"Least-squares prediction\")\n", + "plt.xlim(X.min(), X.max())\n", + "plt.plot(trading_signals, opt_predictions, label =\"Bayes action prediction\")\n", + "plt.legend(loc=\"upper left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "What is interesting about the above graph is that when the signal is near 0, and many of the possible returns outcomes are possibly both positive and negative, our best (with respect to our loss) prediction is to predict close to 0, hence *take on no position*. Only when we are very confident do we enter into a position. I call this style of model a *sparse prediction*, where we feel uncomfortable with our uncertainty so choose not to act. (Compare with the least-squares prediction which will rarely, if ever, predict zero). \n", + "\n", + "A good sanity check that our model is still reasonable: as the signal becomes more and more extreme, and we feel more and more confident about the positive/negativeness of returns, our position converges with that of the least-squares line. \n", + "\n", + "The sparse-prediction model is not trying to *fit* the data the best (according to a *squared-error loss* definition of *fit*). That honor would go to the least-squares model. The sparse-prediction model is trying to find the best prediction *with respect to our `stock_loss`-defined loss*. We can turn this reasoning around: the least-squares model is not trying to *predict* the best (according to a *`stock-loss`* definition of *predict*). That honor would go the *sparse prediction* model. The least-squares model is trying to find the best fit of the data *with respect to the squared-error loss*.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Kaggle contest on *Observing Dark World*\n", + "\n", + "\n", + "A personal motivation for learning Bayesian methods was trying to piece together the winning solution to Kaggle's [*Observing Dark Worlds*](http://www.kaggle.com/c/DarkWorlds) contest. From the contest's website:\n", + "\n", + "\n", + "\n", + ">There is more to the Universe than meets the eye. Out in the cosmos exists a form of matter that outnumbers the stuff we can see by almost 7 to 1, and we don’t know what it is. What we do know is that it does not emit or absorb light, so we call it Dark Matter. Such a vast amount of aggregated matter does not go unnoticed. In fact we observe that this stuff aggregates and forms massive structures called Dark Matter Halos. Although dark, it warps and bends spacetime such that any light from a background galaxy which passes close to the Dark Matter will have its path altered and changed. This bending causes the galaxy to appear as an ellipse in the sky.\n", + "\n", + "\n", + "\n", + "\n", + "The contest required predictions about where dark matter was likely to be. The winner, [Tim Salimans](http://timsalimans.com/), used Bayesian inference to find the best locations for the halos (interestingly, the second-place winner also used Bayesian inference). With Tim's permission, we provided his solution [1] here:\n", + "\n", + "1. Construct a prior distribution for the halo positions $p(x)$, i.e. formulate our expectations about the halo positions before looking at the data.\n", + "2. Construct a probabilistic model for the data (observed ellipticities of the galaxies) given the positions of the dark matter halos: $p(e | x)$.\n", + "3. Use Bayes’ rule to get the posterior distribution of the halo positions, i.e. use to the data to guess where the dark matter halos might be.\n", + "4. Minimize the expected loss with respect to the posterior distribution over the predictions for the halo positions: $\\hat{x} = \\arg \\min_{\\text{prediction} } E_{p(x|e)}[ L( \\text{prediction}, x) ]$ , i.e. tune our predictions to be as good as possible for the given error metric.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The loss function in this problem is very complicated. For the very determined, the loss function is contained in the file DarkWorldsMetric.py in the parent folder. Though I suggest not reading it all, suffice to say the loss function is about 160 lines of code — not something that can be written down in a single mathematical line. The loss function attempts to measure the accuracy of prediction, in a Euclidean distance sense, such that no shift-bias is present. More details can be found on the metric's [main page](http://www.kaggle.com/c/DarkWorlds/details/evaluation). \n", + "\n", + "We will attempt to implement Tim's winning solution using PyMC and our knowledge of loss functions." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Data\n", + "\n", + "The dataset is actually 300 separate files, each representing a sky. In each file, or sky, are between 300 and 720 galaxies. Each galaxy has an $x$ and $y$ position associated with it, ranging from 0 to 4200, and measures of ellipticity: $e_1$ and $e_2$. Information about what these measures mean can be found [here](https://www.kaggle.com/c/DarkWorlds/details/an-introduction-to-ellipticity), but for our purposes it does not matter besides for visualization purposes. Thus a typical sky might look like the following:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data on galaxies in sky 3.\n", + "position_x, position_y, e_1, e_2 \n", + "[[ 1.62690e+02 1.60006e+03 1.14664e-01 -1.90326e-01]\n", + " [ 2.27228e+03 5.40040e+02 6.23555e-01 2.14979e-01]\n", + " [ 3.55364e+03 2.69771e+03 2.83527e-01 -3.01870e-01]]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from draw_sky2 import draw_sky\n", + "\n", + "n_sky = 3 #choose a file/sky to examine.\n", + "data = np.genfromtxt(\"data/Train_Skies/Train_Skies/\\\n", + "Training_Sky%d.csv\" % (n_sky),\n", + " dtype = None,\n", + " skip_header = 1,\n", + " delimiter = \",\",\n", + " usecols = [1,2,3,4])\n", + "print(\"Data on galaxies in sky %d.\"%n_sky)\n", + "print(\"position_x, position_y, e_1, e_2 \")\n", + "print(data[:3])\n", + "\n", + "fig = draw_sky(data)\n", + "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", + "plt.xlabel(\"x-position\")\n", + "plt.ylabel(\"y-position\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Priors\n", + "\n", + "Each sky has one, two or three dark matter halos in it. Tim's solution details that his prior distribution of halo positions was uniform, i.e.\n", + "\n", + "\\begin{align}\n", + "& x_i \\sim \\text{Uniform}( 0, 4200)\\\\\\\\\n", + "& y_i \\sim \\text{Uniform}( 0, 4200), \\;\\; i=1,2,3\\\\\\\\\n", + "\\end{align}\n", + "\n", + "Tim and other competitors noted that most skies had one large halo and other halos, if present, were much smaller. Larger halos, having more mass, will influence the surrounding galaxies more. He decided that the large halos would have a mass distributed as a *log*-uniform random variable between 40 and 180 i.e.\n", + "\n", + "$$ m_{\\text{large} } = \\log \\text{Uniform}( 40, 180 ) $$\n", + "\n", + "and in PyMC, \n", + "\n", + " exp_mass_large = pm.Uniform(\"exp_mass_large\", 40, 180)\n", + " mass_large = pm.Deterministic(\"mass_large\", np.log(exp_max_large))\n", + "\n", + "(This is what we mean when we say *log*-uniform.) For smaller galaxies, Tim set the mass to be the logarithm of 20. Why did Tim not create a prior for the smaller mass, nor treat it as a unknown? I believe this decision was made to speed up convergence of the algorithm. This is not too restrictive, as by construction the smaller halos have less influence on the galaxies.\n", + "\n", + "Tim logically assumed that the ellipticity of each galaxy is dependent on the position of the halos, the distance between the galaxy and halo, and the mass of the halos. Thus the vector of ellipticity of each galaxy, $\\mathbf{e}_i$, are *children* variables of the vector of halo positions $(\\mathbf{x},\\mathbf{y})$, distance (which we will formalize), and halo masses.\n", + "\n", + "Tim conceived a relationship to connect positions and ellipticity by reading literature and forum posts. He supposed the following was a reasonable relationship:\n", + "\n", + "$$ e_i | ( \\mathbf{x}, \\mathbf{y} ) \\sim \\text{Normal}( \\sum_{j = \\text{halo positions} }d_{i,j} m_j f( r_{i,j} ), \\sigma^2 ) $$\n", + "\n", + "where $d_{i,j}$ is the *tangential direction* (the direction in which halo $j$ bends the light of galaxy $i$), $m_j$ is the mass of halo $j$, $f(r_{i,j})$ is a *decreasing function* of the Euclidean distance between halo $j$ and galaxy $i$. \n", + "\n", + "Tim's function $f$ was defined:\n", + "\n", + "$$ f( r_{i,j} ) = \\frac{1}{\\min( r_{i,j}, 240 ) } $$\n", + "\n", + "for large halos, and for small halos\n", + "\n", + "$$ f( r_{i,j} ) = \\frac{1}{\\min( r_{i,j}, 70 ) } $$\n", + "\n", + "This fully bridges our observations and unknown. This model is incredibly simple, and Tim mentions this simplicity was purposefully designed: it prevents the model from overfitting. \n", + "\n", + "\n", + "### Training & PyMC implementation\n", + "\n", + "For each sky, we run our Bayesian model to find the posteriors for the halo positions — we ignore the (known) halo position. This is slightly different than perhaps traditional approaches to Kaggle competitions, where this model uses no data from other skies nor the known halo location. That does not mean other data are not necessary — in fact, the model was created by comparing different skies. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "import pymc as pm\n", + "import pytensor.tensor as pt\n", + "\n", + "def euclidean_distance(x, y):\n", + " return np.sqrt(((x - y)**2)).sum(axis=1)\n", + "\n", + "def f_distance(gxy_pos, halo_pos, c):\n", + " # foo_position should be a 2-d numpy array\n", + " # T.maximum() provides our element-wise maximum as in NumPy, but instead for theano tensors\n", + " return pt.maximum(euclidean_distance(gxy_pos, halo_pos), c)[:, None]\n", + "\n", + "def tangential_distance(glxy_position, halo_position):\n", + " # foo_position should be a 2-d numpy array\n", + " delta = glxy_position - halo_position\n", + " t = (2*pt.arctan(delta[:,1]/delta[:,0]))\n", + " return pt.stack([-pt.cos(t), -pt.sin(t)], axis=1)\n", + "\n", + "\n", + "with pm.Model() as model:\n", + " #set the size of the halo's mass\n", + " mass_large = pm.Uniform(\"mass_large\", 40, 180)\n", + " \n", + " #set the initial prior position of the halos, it's a 2-d Uniform dist.\n", + " halo_position = pm.Uniform(\"halo_position\", 0, 4200, shape=(1,2))\n", + " \n", + " mean = pm.Deterministic(\"mean\", mass_large /\\\n", + " f_distance(pt.as_tensor(data[:,:2]), halo_position, 240)*\\\n", + " tangential_distance(pt.as_tensor(data[:,:2]), halo_position))\n", + " \n", + " ellpty = pm.Normal(\"ellipcity\", mu=mean, tau=1./0.05, observed=data[:,2:])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using advi...\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 55.92% [27960/50000 00:02<00:02 Average Loss = -149.12]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Convergence achieved at 28000\n", + "Interrupted at 27,999 [55%]: Average Loss = -107.23\n", + "Sequential sampling (1 chains in 1 job)\n", + "NUTS: [mass_large, halo_position]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [6000/6000 00:04<00:00 Sampling chain 0, 0 divergences]\n", + "
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We may cover ADVI, as well as NUTS, in-depth in a later chapter.\n", + "\n", + "Below we plot a \"heatmap\" of the posterior distribution. (Which is just a scatter plot of the posterior, but we can visualize it as a heatmap.)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# t = trace[\"halo_position\"].reshape(5000,2)\n", + "t = trace.posterior.halo_position.data.reshape(5000,2)\n", + "\n", + "fig = draw_sky(data)\n", + "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", + "plt.xlabel(\"x-position\")\n", + "plt.ylabel(\"y-position\")\n", + "plt.scatter(t[:,0], t[:,1], alpha = 0.015, c = \"r\")\n", + "plt.xlim(0, 4200)\n", + "plt.ylim(0, 4200);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The most probable position reveals itself like a lethal wound.\n", + "\n", + "Associated with each sky is another data point, located in `./data/Training_halos.csv` that holds the locations of up to three dark matter halos contained in the sky. For example, the night sky we trained on has halo locations:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1.00000e+00 1.40861e+03 1.68586e+03 1.40861e+03 1.68586e+03 0.00000e+00\n", + " 0.00000e+00 0.00000e+00 0.00000e+00]\n" + ] + } + ], + "source": [ + "halo_data = np.genfromtxt(\"data/Training_halos.csv\", \n", + " delimiter = \",\",\n", + " usecols = [1, 2,3, 4,5,6,7,8,9],\n", + " skip_header = 1)\n", + "print(halo_data[n_sky])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The third and fourth column represent the true $x$ and $y$ position of the halo. It appears that the Bayesian method has located the halo within a tight vicinity. " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True halo location: 1408.61 1685.86\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = draw_sky(data)\n", + "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", + "plt.xlabel(\"x-position\")\n", + "plt.ylabel(\"y-position\")\n", + "plt.scatter(t[:,0], t[:,1], alpha = 0.015, c = \"r\")\n", + "plt.scatter(halo_data[n_sky-1][3], halo_data[n_sky-1][4], \n", + " label = \"True halo position\",\n", + " c = \"k\", s = 70)\n", + "plt.legend(scatterpoints = 1, loc = \"lower left\")\n", + "plt.xlim(0, 4200)\n", + "plt.ylim(0, 4200);\n", + "\n", + "print(\"True halo location:\", halo_data[n_sky][3], halo_data[n_sky][4])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Perfect. Our next step is to use the loss function to optimize our location. A naive strategy would be to simply choose the mean:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[2312.20427163 1127.28430251]]\n" + ] + } + ], + "source": [ + "mean_posterior = t.mean(axis=0).reshape(1,2)\n", + "print(mean_posterior)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using the mean:\n", + "Your average distance in pixels you are away from the true halo is 45.47510107521696\n", + "Your average angular vector is 0.9999999999999999\n", + "Your score for the training data is 1.0454751010752168\n", + "Using a random location: [[ 923 3023]]\n", + "Your average distance in pixels you are away from the true halo is 2389.0398135862033\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 3.389039813586203\n" + ] + }, + { + "data": { + "text/plain": [ + "3.389039813586203" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from DarkWorldsMetric import main_score\n", + "\n", + "_halo_data = halo_data[n_sky-1]\n", + "\n", + "nhalo_all = _halo_data[0].reshape(1,1)\n", + "x_true_all = _halo_data[3].reshape(1,1)\n", + "y_true_all = _halo_data[4].reshape(1,1)\n", + "x_ref_all = _halo_data[1].reshape(1,1)\n", + "y_ref_all = _halo_data[2].reshape(1,1)\n", + "sky_prediction = mean_posterior\n", + "\n", + "print(\"Using the mean:\")\n", + "main_score(nhalo_all, x_true_all, y_true_all, \\\n", + " x_ref_all, y_ref_all, sky_prediction)\n", + "\n", + "#what's a bad score?\n", + "random_guess = np.random.randint(0, 4200, size=(1,2))\n", + "print(\"Using a random location:\", random_guess)\n", + "main_score(nhalo_all, x_true_all, y_true_all, \\\n", + " x_ref_all, y_ref_all, random_guess)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is a good guess, it is not very far from the true location, but it ignores the loss function that was provided to us. We also need to extend our code to allow for up to two additional, *smaller* halos: Let's create a function for automatizing our PyMC. " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "def halo_posteriors(n_halos_in_sky, galaxy_data,samples = 5e5, burn_in = 500):\n", + " #set the size of the halo's mass\n", + " with pm.Model() as model:\n", + " mass_large = pm.Uniform(\"mass_large\", 40, 180)\n", + " \n", + " mass_small_1 = 20\n", + " mass_small_2 = 20\n", + " \n", + " masses = np.array([mass_large,mass_small_1, mass_small_2], dtype=object)\n", + " \n", + " #set the initial prior positions of the halos, it's a 2-d Uniform dist.\n", + " halo_positions = pm.Uniform(\"halo_positions\", 0, 4200, shape=(n_halos_in_sky,2)) #notice this size\n", + " \n", + " fdist_constants = np.array([240, 70, 70])\n", + " \n", + " _sum = 0\n", + " for i in range(n_halos_in_sky):\n", + " _sum += masses[i]/f_distance(data[:,:2], halo_positions[i, :], fdist_constants[i])*\\\n", + " tangential_distance(data[:,:2], halo_positions[i, :])\n", + " \n", + " mean = pm.Deterministic(\"mean\", _sum)\n", + " \n", + " ellpty = pm.Normal(\"ellipcity\", mu=mean, tau=1./0.05, observed=data[:,2:])\n", + " \n", + " # mu, sds, elbo = pm.variational.advi(n=50000)\n", + " # step = pm.NUTS(scaling=model.dict_to_array(sds), is_cov=True)\n", + " trace = pm.sample(samples, init='advi', n_init=50000,tune=burn_in,chains=4)\n", + " \n", + " # burned_trace = trace[burn_in:]\n", + " return trace.posterior.halo_positions.data" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "n_sky = 215\n", + "data = np.genfromtxt(\"data/Train_Skies/Train_Skies/\\\n", + "Training_Sky%d.csv\" % (n_sky),\n", + " dtype = None,\n", + " skip_header = 1,\n", + " delimiter = \",\",\n", + " usecols = [1,2,3,4])" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using advi...\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 27.26% [13631/50000 00:02<00:07 Average Loss = -129.59]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Convergence achieved at 13800\n", + "Interrupted at 13,799 [27%]: Average Loss = -120.66\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [mass_large, halo_positions]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [22000/22000 04:16<00:00 Sampling 4 chains, 39 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 500 tune and 5_000 draw iterations (2_000 + 20_000 draws total) took 257 seconds.\n", + "There were 9 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 24 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "The acceptance probability does not match the target. It is 0.6235, but should be close to 0.8. Try to increase the number of tuning steps.\n", + "There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "There were 2 divergences after tuning. Increase `target_accept` or reparameterize.\n", + "The acceptance probability does not match the target. It is 0.8931, but should be close to 0.8. Try to increase the number of tuning steps.\n" + ] + } + ], + "source": [ + "#there are 3 halos in this file. \n", + "samples = 5000\n", + "traces = halo_posteriors(3, data, samples = samples, burn_in=500)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = draw_sky(data)\n", + "plt.title(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", + "plt.xlabel(\"x-position\")\n", + "plt.ylabel(\"y-position\")\n", + "\n", + "colors = [\"#467821\", \"#A60628\", \"#7A68A6\"]\n", + "\n", + "for i in range(traces[0].shape[1]):\n", + " plt.scatter(traces[0][:, i, 0], traces[0][:, i, 1], c = colors[i], alpha = 0.002)\n", + " \n", + " \n", + "for i in range(traces.T.shape[1]):\n", + " plt.scatter(halo_data[n_sky-1][3 + 2*i], halo_data[n_sky-1][4 + 2*i], \n", + " label = \"True halo position\", c = \"k\", s = 90)\n", + " \n", + "#plt.legend(scatterpoints = 1)\n", + "plt.xlim(0, 4200)\n", + "plt.ylim(0, 4200);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You may notice that we use the parameter `chains=4` this time. According to the API document, `Running independent chains is important for some convergence statistics and can also reveal multiple modes in the posterior`. We use 4 independent chains this time to build more confidence." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for pt in range(traces.shape[0]):\n", + " fig = draw_sky(data)\n", + "\n", + " colors = [\"#467821\", \"#A60628\", \"#7A68A6\"]\n", + "\n", + "\n", + " for i in range(traces[1].shape[1]):\n", + " plt.scatter(traces[pt][:, i, 0], traces[pt][:, i, 1], c = colors[i], alpha = 0.002)\n", + "\n", + "\n", + " for i in range(traces.T.shape[1]):\n", + " plt.scatter(halo_data[n_sky-1][3 + 2*i], halo_data[n_sky-1][4 + 2*i], \n", + " label = \"True halo position\", c = \"k\", s = 90)\n", + "\n", + " #plt.legend(scatterpoints = 1)\n", + " # ax[0].xlim(0, 4200)\n", + " # ax[0].ylim(0, 4200)\n", + " plt.suptitle(\"Galaxy positions and ellipcities of sky %d.\" % n_sky)\n", + " plt.xlabel(\"x-position\")\n", + " plt.ylabel(\"y-position\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks pretty good, though it took a long time for the system to (sort of) converge. Our optimization step would look something like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(4, 5000, 3, 2)\n", + "Independent chains: 0\n", + "[[ 779.51700107 347.57575126 2918.9354877 2779.57731108 3001.95900013\n", + " 3617.28296252]]\n", + "Using the mean:\n", + "Your average distance in pixels you are away from the true halo is 4629.09722602648\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 5.62909722602648\n", + "Using a random location: [[2711 508]]\n", + "Your average distance in pixels you are away from the true halo is 3572.625649924716\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 4.572625649924716\n", + "Independent chains: 1\n", + "[[ 843.86621797 508.89191769 2692.97496628 2737.46647823 3333.4681748\n", + " 3642.28791824]]\n", + "Using the mean:\n", + "Your average distance in pixels you are away from the true halo is 4463.5876012667\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 5.463587601266701\n", + "Using a random location: [[ 524 3851]]\n", + "Your average distance in pixels you are away from the true halo is 3173.7457387919403\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 4.17374573879194\n", + "Independent chains: 2\n", + "[[3826.93963249 3961.83848115 2509.19744264 2044.85494963 2078.93188872\n", + " 1727.1125372 ]]\n", + "Using the mean:\n", + "Your average distance in pixels you are away from the true halo is 131.9944317261983\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 1.1319944317261983\n", + "Using a random location: [[2635 1141]]\n", + "Your average distance in pixels you are away from the true halo is 2995.400463126759\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 3.9954004631267592\n", + "Independent chains: 3\n", + "[[3815.8445034 3969.74481299 1817.3991698 1340.05655978 2140.75107775\n", + " 1524.23866576]]\n", + "Using the mean:\n", + "Your average distance in pixels you are away from the true halo is 122.57873507355198\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 1.1225787350735519\n", + "Using a random location: [[1690 1891]]\n", + "Your average distance in pixels you are away from the true halo is 2869.2377967850625\n", + "Your average angular vector is 1.0\n", + "Your score for the training data is 3.8692377967850624\n" + ] + } + ], + "source": [ + "_halo_data = halo_data[n_sky-1]\n", + "print(traces.shape)\n", + "\n", + "for pt in range(traces.shape[0]): \n", + " print(f\"Independent chains: {pt}\")\n", + " mean_posterior = traces[pt].mean(axis=0).reshape(1,6)\n", + " print(mean_posterior)\n", + "\n", + "\n", + " nhalo_all = _halo_data[0].reshape(1,1)\n", + " x_true_all = _halo_data[3].reshape(1,1)\n", + " y_true_all = _halo_data[4].reshape(1,1)\n", + " x_ref_all = _halo_data[1].reshape(1,1)\n", + " y_ref_all = _halo_data[2].reshape(1,1)\n", + " sky_prediction = mean_posterior\n", + "\n", + "\n", + " print(\"Using the mean:\")\n", + " main_score([1], x_true_all, y_true_all, \\\n", + " x_ref_all, y_ref_all, sky_prediction)\n", + "\n", + " #what's a bad score?\n", + " random_guess = np.random.randint(0, 4200, size=(1,2))\n", + " print(\"Using a random location:\", random_guess)\n", + " main_score([1], x_true_all, y_true_all, \\\n", + " x_ref_all, y_ref_all, random_guess)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## References\n", + "1. Antifragile: Things That Gain from Disorder. New York: Random House. 2012. ISBN 978-1-4000-6782-4.\n", + "1. [Tim Saliman's solution to the Dark World's Contest](http://www.timsalimans.com/observing-dark-worlds)\n", + "2. Silver, Nate. The Signal and the Noise: Why So Many Predictions Fail — but Some Don't. 1. Penguin Press HC, The, 2012. Print." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.core.display import HTML\n", + "def css_styling():\n", + " styles = open(\"../styles/custom.css\", \"r\").read()\n", + " return HTML(styles)\n", + "css_styling()" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "pymc_env", + "language": "python", + "name": "pymc_env" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Chapter6_Priorities/Ch6_Priors_PyMC3.ipynb b/Chapter6_Priorities/Ch6_Priors_PyMC3.ipynb index 3275a943..1492c085 100644 --- a/Chapter6_Priorities/Ch6_Priors_PyMC3.ipynb +++ b/Chapter6_Priorities/Ch6_Priors_PyMC3.ipynb @@ -41,7 +41,10 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -181,7 +184,10 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -223,7 +229,10 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -275,7 +284,10 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -375,7 +387,10 @@ "cell_type": "code", "execution_count": 5, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -467,7 +482,10 @@ "cell_type": "code", "execution_count": 6, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -500,7 +518,10 @@ "cell_type": "code", "execution_count": 7, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -545,7 +566,10 @@ "cell_type": "code", "execution_count": 8, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -692,7 +716,10 @@ "cell_type": "code", "execution_count": 9, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -723,7 +750,10 @@ "cell_type": "code", "execution_count": 10, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -774,7 +804,10 @@ "cell_type": "code", "execution_count": 11, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -812,7 +845,10 @@ "cell_type": "code", "execution_count": 12, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -887,7 +923,10 @@ "cell_type": "code", "execution_count": 13, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1001,7 +1040,10 @@ "cell_type": "code", "execution_count": 14, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1060,7 +1102,10 @@ "cell_type": "code", "execution_count": 15, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [], "source": [ @@ -1103,7 +1148,10 @@ "cell_type": "code", "execution_count": 16, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1143,7 +1191,10 @@ "cell_type": "code", "execution_count": 17, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1174,6 +1225,9 @@ "execution_count": 18, "metadata": { "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, "scrolled": true }, "outputs": [ @@ -1214,7 +1268,10 @@ "cell_type": "code", "execution_count": 19, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1236,7 +1293,10 @@ "cell_type": "code", "execution_count": 20, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1283,7 +1343,10 @@ "cell_type": "code", "execution_count": 21, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1325,6 +1388,9 @@ "execution_count": 22, "metadata": { "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, "scrolled": true }, "outputs": [ @@ -1448,7 +1514,10 @@ "cell_type": "code", "execution_count": 23, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1484,7 +1553,10 @@ "cell_type": "code", "execution_count": 24, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1554,7 +1626,10 @@ "cell_type": "code", "execution_count": 25, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1725,7 +1800,10 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": false + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } }, "outputs": [ { @@ -1813,7 +1891,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1827,9 +1905,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.9.12" } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 4 } diff --git a/Chapter6_Priorities/Ch6_Priors_PyMC_current.ipynb b/Chapter6_Priorities/Ch6_Priors_PyMC_current.ipynb new file mode 100644 index 00000000..ca8d760e --- /dev/null +++ b/Chapter6_Priorities/Ch6_Priors_PyMC_current.ipynb @@ -0,0 +1,1986 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 6\n", + "`Original content created by Cam Davidson-Pilon`\n", + "\n", + "`Ported to Python 3 and PyMC3 by Max Margenot (@clean_utensils) and Thomas Wiecki (@twiecki) at Quantopian (@quantopian)`\n", + "\n", + "`Ported to PyMC last by Kurisu Chan (@miemiekurisu)`\n", + "\n", + "---\n", + "\n", + "This chapter of [Bayesian Methods for Hackers](https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers) focuses on the most debated and discussed part of Bayesian methodologies: how to choose an appropriate prior distribution. We also present how the prior's influence changes as our dataset increases, and an interesting relationship between priors and penalties on linear regression." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Getting our priorities straight\n", + "\n", + "\n", + "Up until now, we have mostly ignored our choice of priors. This is unfortunate as we can be very expressive with our priors, but we also must be careful about choosing them. This is especially true if we want to be objective, that is, not to express any personal beliefs in the priors. \n", + "\n", + "### Subjective vs Objective priors\n", + "\n", + "Bayesian priors can be classified into two classes: *objective* priors, which aim to allow the data to influence the posterior the most, and *subjective* priors, which allow the practitioner to express his or her views into the prior. \n", + "\n", + "What is an example of an objective prior? We have seen some already, including the *flat* prior, which is a uniform distribution over the entire possible range of the unknown. Using a flat prior implies that we give each possible value an equal weighting. Choosing this type of prior is invoking what is called \"The Principle of Indifference\", literally we have no prior reason to favor one value over another. Calling a flat prior over a restricted space an objective prior is not correct, though it seems similar. If we know $p$ in a Binomial model is greater than 0.5, then $\\text{Uniform}(0.5,1)$ is not an objective prior (since we have used prior knowledge) even though it is \"flat\" over [0.5, 1]. The flat prior must be flat along the *entire* range of possibilities. \n", + "\n", + "Aside from the flat prior, other examples of objective priors are less obvious, but they contain important characteristics that reflect objectivity. For now, it should be said that *rarely* is a objective prior *truly* objective. We will see this later. \n", + "\n", + "#### Subjective Priors\n", + "\n", + "On the other hand, if we added more probability mass to certain areas of the prior, and less elsewhere, we are biasing our inference towards the unknowns existing in the former area. This is known as a subjective, or *informative* prior. In the figure below, the subjective prior reflects a belief that the unknown likely lives around 0.5, and not around the extremes. The objective prior is insensitive to this." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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RR9m/fz/Xrl1jw4YNdOzYETc3N9s2inpcCnN+zFl+4eHhdO7c2a6td5s2bfDy8rK7RhX0OU9JSWHMmDG0aNECX19f3N3d+f3333OV+c2cw2/FM888w99//22Lb968efTr1++WnmkQpU8Sb2HTqFEjdDpdruQ5PzkTdKVUrmkGgyHXejmnaZqG1Wq94b7Ude3Xdu7cyQMPPEBgYCDLli1j3759zJ49G8h6sCabXq/HZDIV+D50Op3dSTP7PVwfU873VdgnzvM6RgWtr27QVi87ps8//5wDBw7Yfg4ePEhkZCStWrW66RhvZPjw4axdu5ZLly6xZs0a4uPjbYndzcRyM9sFGD9+PBEREQwePJjDhw/TuXNnuzalBdHr9axZs4YNGzZwxx13sHTpUho3bsxvv/0GYLtIX3+sLRZLgZ/DnOvkZLVa8fLysjseBw4c4MiRI6xZs8a2XHGUjY+Pj90/MAsXLqRfv374+fndVCyFlfN9X59U3UhhvgM5t1VQ+d2Mouw/L0uWLOH555/nwQcf5Pfff2f//v28/fbbZGZm2i2X88G+vM4nOel0ulzHN+d289t2zvW8vb25++67WbFiRa5nGG60nRud78D+/O7s7Mxdd93F+vXr2bBhAz169KBKlSo0bdqUv/76yzatoH3CjY9LXvL6/uVVfvl9xwr67l2//ddee43vvvuOt99+m40bN3LgwAH69u1rd50pbIzFoUWLFnTt2pWvvvqKy5cvs3LlyjyflxFlmyTewsbX15c+ffrwxRdf2D2omC0zM5Pk5GQaNmyIs7MzmzZtspu/efNmWrRoUSyx5OySbPv27TRr1gzI6m7N39+fSZMm0alTJxo3bpzvBaY4NG/enN27d2OxWOziKUiLFi3yPEbZD2Zly2vbRqORBg0a5NpmtWrVqFWrFseOHaNhw4a5fkwmE82bN8dkMvHnn3/mG5vRaLTbZ37uuece/Pz8+OGHH1i0aBH9+vXD39+/0LEUZbvZ6tevz8iRI/nll1947733+PLLLwuM93qaptGxY0feeustNm/eTFBQEPPnzwegatWqQFYXdNkOHDiQ5wXzRp/FnDp06EB8fDxpaWm5jkd27XD79u0JDw8vMCkqTPk8+uij/PHHHxw7dozVq1fb3TUoTCz5uXLlil1tXUREBDExMfm+7/wU9juQlxuVX2nsP6fNmzfTtm1bXn75Zdq3b0+jRo1ydflYVFWrVrX7LAI3fZcnm8Fg4Ndff6VVq1YEBQXlqp0tSIsWLbh69ard3Y309HR27dpld37v0aMHGzZsYMOGDfTs2dM2bdmyZezduzdX4l1UN3N+vP49bN++3S5BPnjwINeuXbN7DwV9zjdv3szQoUN58MEHadOmDfXr1yciIqJYYryRG50DnnnmGRYuXMjcuXOpXr06vXv3LtI+hONI4i3szJo1C4PBQPv27fnhhx84cuQIx48f57vvvqNDhw5ERkbi6urKCy+8wPjx41myZAmRkZG8//77rFixgrfeeqtY4vj666/54YcfiIiI4O2332b79u2MHj0agCZNmnDlyhW+/vprTp48ycKFC5k1a1ax7DcvI0eO5NKlSzz33HP8+++/bNy4kbFjxwI3rj158803Wbp0KVOmTCEiIoKff/6Zd955h1deecWu9icmJobnn3+ef//9l9WrVzN+/HieeuqpfGvhJk+ezPTp05k0aRKHDx/m2LFjLF++nGeeeQbI6nbulVde4Z133mHmzJlERERw8OBBPvjgA9s26tWrx99//82ZM2e4evVqvrVOTk5OPPzww8ydO5dVq1bx6KOP3lQs+bnRdpOSknj++efZsGEDUVFR7N+/nz/++MPu1vejjz6aK5brbdu2jYkTJ7Jz507OnDnD+vXrOXTokG0bDRs2pE6dOrzzzjscPXqUrVu38tJLL+VZnjf6LObUo0cPgoODGTRoEMuWLePkyZPs3buXGTNmMG/ePACGDBlCnTp1GDBgAGFhYURFRbF+/XoWL14MQJ06ddDpdPz+++9cvnw5z3+Cs/Xp0wdfX18eeughPDw86Nu3703Fkh9XV1cee+wx9u7dy549exg+fDitWrW66YGcCvsdyKmg8ivp/eelSZMm/PPPP6xYsYITJ07w+eefF9hDTGEFBwcTFhbGzz//zPHjx5kyZQpbtmwp8vYMBgM///wzHTp0ICgoiJMnTxZ63R49etCxY0cefvhh/v77bw4fPsyjjz5KWloazz33nN1y//zzDwcOHKB79+62ad9//z0Gg6FQzfEK42bPjwCjRo0iISGBESNGcPjwYbZu3cqwYcPo2rWrrfcbKPhz3qRJE1asWMGuXbs4cuQITz/9dK5/kIoa443Uq1cPgJUrV3LlyhWSkpJs87J7p5o4cSJPPPFEoZpIiTKmlNuUi3Lg8uXL6uWXX1aNGjVSzs7OqkqVKiowMFAtWrTI1tNHRkaGeuONN1SNGjWUwWBQzZo1U99//73ddsjj4cPrH17L5uzsrObNm6eU+v+HfxYuXKiCgoKUs7OzqlOnjlq4cKHdOuPGjVNVq1ZVrq6uqk+fPuqHH36wexgr58Mq2fJ6uDLncmfPnlWA2rhxo23aunXrVIsWLZTRaFStWrWyPVz5yy+/3PBYLliwQDVt2lQZDAZVo0YN9dZbb9mOoVJZD+Y89thjtl5i3N3d1WOPPaaSk5Nty+R8MEcppZYtW6Y6d+6sXFxclIeHh2rTpo3twSelsnom+Oyzz1Tjxo2VwWBQVatWVaGhobb5u3fvVu3atVMmk8l23HI+XJkt+6EkX19fu4eVChtLfvLbbmpqqhoyZIiqW7eu7fM3ePBgdebMGbvjFhQUlO+2Dx8+rPr06aOqVaumjEajql27tnr11Vft9rNjxw7bMWjdurXavHlzng9XFvRZzPk5T0lJUW+88YaqW7euMhgMqlq1auqee+5R69evty1z4cIFNWzYMOXn56ecnZ1VkyZN7L4XH374oapRo4bS6XS295nzgaxso0ePzvXQ8s3EklP2fhYtWqTq1KmjjEaj6t69uzp+/HiuZfJb93qF+Q7kfLCwMOWXU34PzBZl/3nJyMhQTz/9tPLx8bH1mDFjxgy7h+Dyev/5PSybc9svvviiqlKlivLy8lIjR45U48ePz/VwZc7zQM6H8HLu32w2q6FDh6qaNWuqiIiIfL/jOR+2Pn/+vHrwwQeVl5eXMplMKjAw0K4nn+xte3p6qtatW9umxcXFKb1enyvOoh6Xwpwf8yu/7du3q7vvvluZTCbl5eWlhgwZoi5dupQrpht9zs+cOaNCQkKUq6urrQebxx9/3O7cU5RzeEEPVyql1IsvvqiqVq2qNE1Tw4cPt5s3evRopdPp8n1AW5RtmlLS+aMoO06dOkW9evXYsmULXbt2dXQ4+cq+9X3o0KEbtmUuDkOGDCE1NZXly5eX6H7EzUtPT8dkMrFs2TLuu+8+R4dTLN555x2+++67fB+OFaK0dOvWjYYNG/LVV185OpQyZfDgwaSmprJq1SpHhyKKQEauFKIQvvzyS9q0aUONGjU4cuQIL730Ep06dSrRpDsjI4PIyEi2b99+w2YVwjHi4+NZtmwZmqbRsmVLR4cjhKjg4uLi2LJlC8uWLWPdunWODkcUUaET7+yRmXx9fe1GrYOsJ3jnz5/P/v37cXZ2ZuTIkTf94IoQZdnp06f54IMPuHTpEtWrV6dXr158+OGHJbrPbdu20a9fP7p168aLL75YovsSN++ll15izZo1TJkyJddojUIIUdzatm1LTEwMr7/+um1EW1H+FLqpyW+//caJEydITU3NlXjv27ePP/74gzfffJPIyEgWLFjA+++/XyIBCyGEEEIIUR4V6nHYmJgY9u3bZ+syKKc9e/YQGBiIpmk0btyY5ORk4uLiijVQIYQQQgghyrNCJd4LFizgkUceybfrtNjYWLs+eP38/IiNjS2eCIUQQgghhKgACmzjvXfvXry8vKhfv36+Ixrm1VolryQ9LCyMsLAwAKZMmXKzsQohhBBCCFFuFZh4Hzt2jD179rB//34yMjJITU1l+vTpvPDCC7Zl/Pz8uHr1qu11TEwMPj4+ubYVHBxsNwBDXh3RlxZ/f3+7mEXlIWVfeUnZV05S7pWXlH3l5eiyr1GjRp7TC0y8H374YR5++GEAwsPDWbVqlV3SDVlDE//xxx906dLFNrJhXom3EEIIIYQQlVWR+/Feu3YtACEhIbRt25Z9+/bxwgsvYDQaGTlyZLEFKIQQQgghREVwU4l3ixYtaNGiBZCVcGfTNI0nn3yyeCMTQgghhBCiAilTI1cqpTCbzSil8u1BpbgkJiaSmZlZovsQZdPNln3259HJyanEP5dCCCGEqLjKVOJtNpvR6/XodIXq5fCWGAwGDAZDie9HlD1FKXur1YrZbJbPjBBCCCGKrOQz3JuglCqVpFuIm6XT6fLsNlMIIYQQorDKVJYrt/FFWSafTyGEEELcijKVeJcVa9asISAggOPHjxfbNkNDQzl48GCu6WvXruWLL74o0janT59u93rAgAFF2k5Rffzxx2zevLlU9ymEEEIIUV5J4p2H5cuX07FjR1asWFHi+woJCWHUqFFFWnfGjBl2r1euXFkcIRWKxWLhtddeIzAw8KbWEUIIIYSorCTxziE5OZk9e/YwdepUu8R727ZthIaG8tRTTxEYGMioUaPybPN7+PBh+vfvT3BwME888QTx8fG2eUuXLmXAgAH06NGD/fv3A7B48WLGjh0LZI34+dRTT9G3b1/69u3L7t27bTG99NJL9OzZk+DgYFavXs37779PWloavXr1siXujRo1AuDZZ59l/fr1tv2OHj2a1atXY7FYmDhxIn379iU4OJhFixbliv/s2bMEBgby4osvEhwczFNPPUVqaioAnTp14tNPP+W+++7jt99+Y/To0fz2228AbNmyhZCQEHr27MnLL79Menp6nusIIYQQQlRWknjn8Mcff9CtWzcaNGiAt7c3//zzj23e4cOHeffdd/nrr784ffq0LTG+3ujRoxk7dixhYWE0bdqUTz75xDYvNTWVlStX8v777/PKK6/kWvftt9/mqaee4vfff2fevHm8+uqrAHz22Wd4eHiwfv16wsLC6NKlC2+99RYmk4l169blaqoycOBAW+13RkYGW7dupUePHvz44494eHjw+++/s3r1an744QfOnDmTK44TJ07wyCOPEBYWhoeHB99++61tnrOzM8uXL2fgwIG2aWlpabz00kt8+eWXrF+/HrPZzMKFC2+4jhBCCCFEZSOJdw7XJ4gDBw5k+fLltnm33347NWrUQKfT0aJFC86ePWu3bkJCAteuXePOO+8E4IEHHmDnzp22+dnb7dy5M4mJiVy7ds1u/S1btjB27Fh69erFiBEjSEpKIikpiS1btjBixAjbct7e3jd8D927d+fvv/8mPT2djRs30rlzZ1xcXNi0aRO//PILvXr1on///sTFxREVFZVr/Ro1anDHHXcAMGjQIHbt2mWbl1c78hMnTlC7dm0aNGiQ5/su7bbnQgghhBBlUZnqx9vRYmNj2bZtG8eOHUPTNCwWC5qmMW7cOACMRqNtWb1ej9lsvqnt5+wVI+drq9XKypUrcXFxsZt+swMKmUwm7rzzTjZt2sTKlSvtaponTZpEt27dihynq6trruUL6mYvr3WEEEIIISobqfG+zurVq7n//vvZtWsXO3fuZM+ePdSuXduuxvdGPD098fLystX2Ll26lM6dO9vmZzf/2LVrF56ennh6etqtHxQUxIIFC2yvDx8+bJs+f/582/TsduMGgyHfERgHDhzI4sWL2blzpy3RDgoKYuHChbZ1Tpw4QUpKSq51o6Oj2bNnDwArVqyw1X7np2HDhpw9e9ZWe57zfQshhBBCCEm87axYsYI+ffrYTevbty/Lli0r9DY+++wzJk6cSHBwMOHh4bz00ku2ed7e3gwYMIAxY8YwdepU2/TsGuWJEydy8OBBgoOD6datm+3hxxdffJFr167Ro0cPgoOD2bZtGwBDhw4lODg4z15RgoKC2LFjB3fffbetpv7hhx+mUaNG9O7dmx49evDGG2/kWWvfqFEjlixZQnBwMPHx8QwfPvyG79lkMvHJJ5/wzDPP0LNnT3Q6HcOGDSv0MRNCCCGEqAw0VUA7gYyMDCZMmIDZbMZisdC5c2cGDx5st0x4eDgfffQRVatWBbJ6sggNDS1w5+fPn7d7nZmZWWpDcru7u5OUlFQq+7qR2bNnk5SUZHuQ0tHOnj3L8OHD2bBhg6NDKTFFLfvS/HyKkuHv78/Vq1cdHYYoZVLulZeUfeXl6LKvUaNGntMLbONtMBiYMGECJpMJs9nM22+/ze23307jxo3tlmvWrBljxowpnmgriYULF7JkyRLmzZvn6FCEEBVAUoYFi/XGz1zkZNBruBr0JRSREEKI6xWYeGuahslkArIGQMl+4FDcukcffZRHH33U0WHYqVWrVoWu7RaiojmXkM72M4lsO5PIybj0Im2jqb+Ju2p7cmctD6q6y10dIYQoKQU2NYGs3jbeeOMNLl68yD333MMjjzxiNz88PJxp06bh5+eHj48Pw4YNo1atWrm2ExYWRlhYGABTpkwhIyPDbn5iYmKp3crX6XRYrdZS2ZcoW4pa9pmZmXh4eJRARKK0ODk53XRvRGWNUoqo2BT+ioxh4/GrnIzJekC6nq8LDfzdMOh13EzVSHKGmYgryVxIyEram1Vzp3tDf4Ia+lHT26WAtcuHilDuomik7CsvR5f99T3hXa9QiXe25ORkpk6dymOPPUbt2rVt01NSUtDpdJhMJvbt28eCBQuYPn16gdsri228U1NTeeSRR/j555/R62/+9uvatWuJiIgocBj4iRMnsmHDBnr06MH48eNvej9FMW/ePB555BFbd4XDhg3jiy++wMvLq1T2X1ZIG+/Ky9Ft/opKKcWp+HS2/a9m+1xCBhpQ29uZBr7ONPJ1wc9Vf0t3I2NSMgm/lEpkbBoXk7J6Pqrv48xdtT24s7YHNT2di+ndlL7yWu7i1knZV16OLvv82njfVOINsGTJEpydnW84KMrzzz/PBx98kKu7vJzKYuK9YMECzGYzTz75ZInuv0mTJhw6dAhn58JdzMxmM05Ot9bteqdOnVizZg2+vr63tJ3yThLvysvRJ+KboZTieGyaLdm+mJSJBtTzcaa+r4lGviZ8XG4t2c5PXGom4ZdTiYxJ43xiVhJe28tIl9qe3FXbg1pexnLV5LA8lbsoXlL2lZejy77ID1cmJCSg1+txc3MjIyODf/75J9fQ3/Hx8Xh5eaFpGsePH8dqtZbbW/K//vorM2fOBGDbtm3Mnj3bNvz52LFjad26NQ8++CCdOnXigQceYN26dZjNZubMmUPDhg1ZvHgxhw4dYvLkyYwePRoPDw8OHjzIlStXGDt2LP3792fEiBGkpKTQv39/Ro0aRfv27Xn55ZeJjY3F19eXTz/9lICAAEaPHo23tzeHDx+mVatWxMXFYTKZOH78ONHR0XzyyScsWbKEvXv30rZtWz777DMAxowZw8GDB0lLS6Nfv368+uqrfP3111y6dIkHHngAHx8ffvnlF1si/uWXXxIQEGAbHXPatGm4ubnx7LPP8uWXX7Jq1SoyMjLo3bt3mel9RYiKSinFtjOJLDxwhYtJmeg0qO9j4p6GrjTwNeHjUvLjnvm4GOhax0DXOp5cSzNz5HIqETFp/PTPVX785yq1vYw80b4at9/mVuKxCCFERVLgGTwuLo6ZM2ditVpRSnHnnXfSvn171q5dC0BISAg7duxg7dq16PV6jEYjo0ePLle1IdkyMjI4c+ZMnu3T8+Lr68uff/7JggULmD17tl3f3NkuXbrE8uXLOX78OI899hj9+/dnwYIFNGrUiHXr1gEwfPhwQkNDGTx4MD/99BPjx4/nm2++AeDkyZMsXrwYvV7P6NGjuXbtGkuWLGHt2rWMGDGC5cuXM3XqVPr27cvhw4dp2bIlb7zxBj4+PlgsFh588EGOHDnCE088wdy5c1myZEmuGu+BAwcyYcIEW+K9atUqvv/+ezZt2kRUVBSrV69GKcWIESPYsWOHDI4jRAm5nJTJnN0X2XM+mRoeBno39KKhrwteLo7rdcTL5MSd/2tukphu5sjlNPZeSGLChrME1vXgifbV8DbJIMhCCFEYBZ4t69Spw0cffZRrekhIiO3v3r1707t372INzPrTPNTZqGLdplarHrqHnsp3fmxsbIHNY66XPdhO69atWbNmTZ7L9O7dG51OR+PGjbly5Uqey+zdu5evvvoKgPvvv59JkybZ5vXv39+urXmvXr3QNI2mTZvi7+9Ps2bNAGjcuDHnzp2jZcuWtsTZYrFw6dIlIiMjad68eb7vo2XLlly9epWLFy8SExODl5cXAQEBfP3112zatMlW1ikpKURFRUniLUQxs1gVvx2L4/uDWeeIHvU8aR/ghlFftsY483B2olMtd9oHuLH5VAJbTyey93wyj7erSs/6XuWywkUIIUqTVFNcx2QykZ7+/91xOTk5cX0T+OvnAbb22Xq9HovFkuc2r3+qtbDN6a+/eLm6uua5PZ1OZ9c+XKfTYTabOXPmDHPmzGH16tV4e3szevRo0tLSCtxnv379WL16NZcvX7Y1JVJKMWrUKBmFUogSdDwmjVm7LnAiNp3GfiaC6nlS1a1sP0vgpNPoUd+LVtVcWR0Rx4wdF9lw8hojO1Uv1w9hCiFESSuzifeNaqZLire3NxaLhbS0NEwmEwEBAURERJCenk56ejpbt27ljjvuKPb9dujQgRUrVhAaGsqvv/5Kx44di7ytxMREXFxc8PT05MqVK2zcuJE777wT+P+HCvN6uHLgwIG89tprxMbGsnTpUgC6devGxx9/zKBBg3Bzc+PChQsYDAb8/f0ZPHgwn3/+ObfddluRYxWiMkvNtPL9oSusPhaHu1HPvU18aFHVhF5Xtmq5b6SKm4Hht1dh3/lkNkYl8OLqKB5o6c/9zX0xlLHaeiGEKAvKbOLtKEFBQezatYvAwEACAgK49957CQ4Opl69erRs2bJE9jlx4kRefvllZs+ebXu4sqhatGhBy5Yt6d69O7Vr17b7R2Ho0KE88sgjVK1alV9++cVuvSZNmpCcnEz16tWpVq0akHUsIiMjbT3YuLq6MmPGDHx9fTl16hTe3t5FjlOIymzXuUTm7L5ETIqZdjXc6FLbAw/n8jl6pKZptA9wp0kVF/6MjOfHQ1fZFHWNUZ1vo0VV14I3IIQQlchNdydYnMpid4KHDx9mzpw5zJgxo1TiKI+OHj3KTz/9xDvvvOPoUIpEuhOsvBzdvVRMSibz9lxm+9lEqrkb6F7Pk/o+zhWqbfTxmFTWRF4jId1CcAMvHmtbFXcH/1Ph6HIXjiNlX3k5uuyL3J1gZdOyZUu6dOmCxWIp0gA6lUHTpk3LbdIthCNYleKPyHgWHbhChkURWMeDOwLcMRkqXnOMhn4uPOPtzF9RCaw/cY1d55J4qkM17q7jUaH+wRBCiKKQxDsPDz30kKNDEEJUEDEpmXy45TzHrqZS38eZbvW8uM2jYt85Mep1hDT0pnU1V36LiGfa3+fZGOXGK3fVcHjttxBCOFLFq265RZ06deLs2bOEhoYCWYPoNG3alJCQEIKCgvjkk0/yXO/gwYNFHvp94cKFLFmy5IbLLF68mLFjxxZp+zmNHDmS4OBg5s6dazd92rRpzJ49+6a2FRoaysGDB4GsIeivXbsGwNdff01QUBCjRo0iPT2dBx98kF69erFixYpieQ/FYfTo0Wzbto3Q0FDOnj0LwIMPPkh8fLxjAxMVxun4dF778zSn4tPo08ibB1r4Vvik+3rVPYw83q4KPet7cvBCMq//eZoryZmODksIIRxGarwLoWPHjixcuJCUlBR69epFcHAwrVu3ts03m820adOGNm3aFGn7jz76aHGFWqDLly+zZ88edu3aVezbXrRoke3vb7/9lu+++47atWuzd+9ezGazbcCgwjCbzTg5lf7H8/777+fbb7/lxRdfLPV9i4rln0vJfLApGiedxuAWftT2rpzd7Ok0jc61PLjNw8iSwzG88scp3ulei/q+JkeHJoQQpU4S7xz8/PzQ6XR59tjh6upK69atOXXqFOvWrePSpUucPXsWX19fhg4dahteftq0aURHR3PmzBmio6N58skneeKJJwBYsmQJc+bMAaBZs2bMmDHDboj20NBQmjdvzoEDB0hKSmLatGm0bdvWLo6YmBjGjBlDdHQ0AO+++26ubg7T0tJ48803OXToEHq9ngkTJtClSxcefvhhYmJi6NWrF5MmTaJTp055HofQ0FDatm3Ltm3buHbtGtOmTaNTp06kpqby8ssvExkZScOGDe36CM8egv7DDz/kzJkzPPbYYwwaNIgffvjBts958+aRkJDAu+++S3Jysq0Xl2rVqhEaGkr79u3Zs2cPvXr14q677sp3ubxis1gsTJ48mU2bNqFpGg8//DCPP/44hw4dstvO3LlzcXd3x9PTE4PBgLe3N7r/deEWEhLCoEGDJPEWt2TzqQQ+334BP1cnBjb1oUoZ75e7NNTxdmZ42yr8eOgqb647zZuBNWXIeSFEpSOJdw6///47gG0kyevFxsayb98+Ro8eTWRkJIcOHWLZsmW4uLiwbds2u2WPHz/OkiVLSE5O5u677+bRRx/l5MmTTJ8+nRUrVuDr60tcXFyeMaSmprJy5Up27NjBK6+8woYNG+zmv/322zz11FN07NiR6OhoHn74YTZt2mS3zIIFCwBYv349x48fZ8iQIWzZsoX58+czfPjwQtU+m81mVq9ezfr16/nkk09YvHgxCxcuxMXFhbCwMI4cOZLniKUffvghf/31l214+rZt29r+KcnMzOSFF15g/vz5+Pn5sWLFCj788ENbE56EhASWLl1KZmYm999/f77L5RXbd999x9mzZ/nzzz9xcnIiLi6OzMxMxo0bZ7ediRMn8uGHH/Lee+8B2P3T4u3tTXp6OrGxsXn2dy7EjSilWHYklm8PXKGetzP9m/jgaZI2zdmquBkY0a4qPx26yrsbzzKqU3V6NvB2dFhCCFFqJPEuhF27dhESEoJOp+P555+nSZMm/Pbbb4SEhODi4pLnOj179sTZ2RlnZ2f8/f25cuUKf//9N/369bMldD4+Pnmumz1yZOfOnUlMTLS1m862ZcsWIiIibK+TkpJISkrC3d3dNm337t089thjADRs2JCaNWty8uRJPDw8Cv2++/btC0Dr1q05d+4cADt37uTxxx8HoHnz5rYh6wvrxIkTHDt2zPYAq9VqpWrVqrb52X2GF7RcXrFt3bqVYcOG2Zqo+Pj4cPTo0VzbKWjQH39/fy5duiSJt7gpFqviq72X+D0inhZVXbinoTcuFbDXklvl6axneNsqLAmPYfqOi1xNMTO4pZ/0eCKEqBQKTLwzMjKYMGECZrMZi8VC586dGTx4sN0ySinmz5/P/v37cXZ2ZuTIkdSvX7/Egi5t2W28c8o5nPv1rh/OPXtIeaVUoS4uOZfJ+dpqtbJy5cp8k34o/PD0N5I9PL1er8dsNucbz81QStG4cWNWrVqV5/zsY1rQcnnFltd7zms7BfXjnZ6ejskk7U9F4aWbrUz7+zw7zyXRuaY7QXU9cJKRG/Pl7KRjSCt/Vh2N44dDV7mcnMnIjtXR6yT5FkJUbAVeGQwGAxMmTODjjz/mo48+4sCBA3a1rQD79+/n4sWLTJ8+naeffjrPZhoCunbtyqpVq4iNjQXIt6nJypUrgayadk9PTzw9Pe3mBwUF2ZqSQNagPzl16tSJZcuWAVm1x9HR0TRo0OCW38P12z169Cj//vvvTa3foEEDYmNj2bNnD5A1KM2xY8eKvNz1AgMDWbRokS0Rj4uLy3M7N4pZKcWVK1eoVavWTb0vUXklpJkZv/4Mu84l0bO+J93re0rSXQh6ncbAZj7cVcudsBPXmPjXOVIzrY4OSwghSlSBVwdN02y1fxaLBYvFkqvGc8+ePQQGBqJpGo0bNyY5OTnfpLIya9KkCS+88AKhoaEEBwfz7rvv5rmct7c3AwYMYMyYMUydOjXX/IkTJ3Lw4EGCg4Pp1q2bXW8i2YYPH47FYqFnz54899xzfPrpp3a18EX16KOPkpycTHBwMLNmzeL222+/qfWNRiNz5szh/fffJzg4mJCQEFtSXJTlrvfwww8TEBBAcHAwwcHBLF++PM/t7Ny5M99tHDp0iHbt2jmkRxVR/lxIzOCNtac5GZvOgKY+dKrpjk6aTBSapml0r+9Fn0ZeHLiQzFvrThOfai54RSGEKKcKNWS81WrljTfe4OLFi9xzzz088sgjdvOnTJnCfffdR9OmTQF47733GDp0aK4a1rCwMMLCwmzrZGRk2M1PTEwstSG5dTodVmvZq13p168fEydOpF27do4OpcK6Udm/8cYb9OnTh27duuWal5mZeVNt5EXZ4+TkZNds6lYcuZjIayuPYLEqHri9Bk2qSg8dt+LIxUR+2BeNr6uRT//Tgjo++Tflu1nFWe6ifJGyr7wcXfbZTWJzKlS1nk6n4+OPPyY5OZmpU6dy5swZateubZufV+6eVzvg7JrIbFevXrWbn5mZWWqJd0HtfB3FYrGQmppaJmOrKG5U9vXr16dDhw55zs/MzCQ9Pb2kwxMlyN/fP9d5pyh2nUvk463n8TDq+U8LH24zWUhISCiGCCuvmq7wSGt/fjocw1M/HmB895o0q1I8yXdxlbsof6TsKy9Hl32NGjXynH5TDRHd3NxsfUxfz8/Pz+7NxcTE5Ntjh7ixX375pcgD8YhbN3ToUEeHIMq4PyLj+GBzNFXdDDzY0pcaHnnXaoibV8PTyGNtq2DUa4wPO8v2M4mODkkIIYpVgYl3QkICycnJQFYPJ//88w8BAQF2y3To0IHNmzejlCIiIgJXV1dJvIUQFc6aiDi+3HWJhr4mQlv44uMqA+MUNx8XJ0a0q0IVNyc+3BLNtjNyJ0EIUXEU2NQkLi6OmTNnYrVaUUpx55130r59e9auXQtkjfTXtm1b9u3bxwsvvIDRaGTkyJElHrgQQpSmTVHXmLP7Ek38TfRv7INJ+uguMa4GPUPb+PP9watM3Xqet7vrZZRLIUSFUKiHK0vK+fPn7V5LG29RGopa9qX5+RQlo6ht/nadS+SDzdHU9Xbmvma+MjBOKUnNtLLowBWupVuY2LM2TavkP3bBjTi6radwHCn7ysvRZV8sbbyFEKKy+edSMh9tOU8NDyP3NvGRpLsUuRh0PNzGH1eDjnc2nOVUXJqjQxJCiFsiV5A8rFmzhoCAAI4fP14s25s2bRqzZ8/ONf3ixYs89dRTRdrm4sWLuXjxou31q6++mmtgo5K0du1avvjii1LbnxCOEBmTyqS/ovF1dWJgUx/cnfWODqnScTdmNTvR62Dc+rNcSMwoeCUhhCijJPHOw/Lly+nYsSMrVqwo0f1Ur16defPmFWndJUuWcOnSJdvrqVOn0rhx4+IK7YbMZjMhISGMGjXqptYRojw5cy2ddzeew9Wg476mPni7yKBKjuJtcmJoa3/MFsXYdWe4mpLp6JCEEKJIJPHOITk5mT179jB16tR8E++UlBSGDRtGcHAwPXr0sC3XqVMn23DwBw8eJDQ01LZOeHg4DzzwAF26dOH7778H4OzZs/To0QPI6r974sSJ9O3bl+DgYLvRKGfNmkXPnj0JDg7m/fff57fffuPgwYOMGjWKXr16kZqaSmhoKAcPHuTbb79l0qRJtnUXL17MuHHjAFi6dCn9+vWjV69evP7661gsllzvrVOnTkyePJl+/frRr18/oqKiABg9ejTvvPMOoaGhTJ48mcWLFzN27FgAzp07x+DBgwkODmbw4MFER0fnuY4Q5cWlpAwmrD+LBgxq5ou/m7TtdzR/NwNDWvuRmGFhXNgZEtLkn3khRPkjiXcOf/zxB926daNBgwZ4e3vzzz//5Fpm48aNVK9enbCwMDZs2ED37t0L3O6///7LwoULWbVqFZ9++qldMxGAH3/8EQ8PD37//XdWr17NDz/8wJkzZ9iwYQN//PEHv/32G2FhYTz33HP079+fNm3a8MUXX7Bu3TpcXP7/gaP+/fuzZs0a2+tVq1YxYMAAIiMjWblyJcuXL2fdunXo9Xp+/fXXPGN1d3dn9erVjBgxggkTJtimnzx5ksWLF9tNAxg7diyhoaGEhYUxaNAgxo8fX+A6QpRVsalm3l5/ljSzlf8086GahyTdZcVtHkYGt/TjSnIm49efJSUzd+WBEEKUZZJ457B8+XIGDhwIwMCBA1m+fHmuZZo2bcqWLVuYPHkyO3fuxNPTs8Dt3nPPPbi4uODr68tdd92VaxCiTZs28csvv9CrVy/69+9PXFwcUVFRbNmyhQcffNCWXBfUP7qfnx+1a9dm7969xMbGcuLECe644w62bt3KP//8Q9++fenVqxdbt27lzJkzeW7jvvvus/3eu3evbXr//v3R63O3cd27dy//+c9/ALj//vvZtWtXgesIURYlplt4Z/1Z4lLNDGzmS00vZ0eHJHKo4+3MoOZ+WU2BNpwl3Wx1dEhCCFFo0mjxOrGxsWzbto1jx46haRoWiwVN0xg3bhyaptmWa9CgAWvWrGHDhg188MEHBAUF8dJLL+Hk5ITVmnURyDm0+PXr5/UaYNKkSXTr1s1u2saNG/Nc9kYGDBjAqlWraNiwIb1790bTNJRSPPDAA7z55psFrn/9/q7/29W1cMM3F2UdIRwtNdPKexvPEp2Yzn3NfKnvI0l3WdXIz8S9TbxZcTSeDzafY1y3Wjjpbu48KYQQjiA13tdZvXq1rcZ2586d7Nmzh9q1a9vV4EJWbyQuLi7cf//9PPvss7bmKDVr1uTQoUO2bV3vzz//JC0tjdjYWLZv355rWPigoCAWLlxIZmbWQ0MnTpwgJSWFoKAgfvrpJ1JTU4GsAY0A3Nzc8u2Luk+fPvz5558sX76cAQMGANC1a1d+++03W5+WcXFxnDt3Ls/1V65cafvdvn37Ao9bhw4dbO3cf/31Vzp27FjgOkKUJZkWK+9vPkdkTBr9GvvQxL9o/UWL0tOymhu9G3qx/0IKn/x9HqvjhqQQQohCkxrv66xYsYLnn3/eblrfvn1ZtmwZnTp1sk07evQokyZNQtM0DAYDH3zwAQAvv/wyr7zyCjNmzKBt27Z222nbti2PPvoo0dHRjB49murVq3P27Flb7fDDDz/M2bNn6d27N0opfH19+eabb+jevTvh4eH06dMHg8FAjx49ePPNNxk8eDBjxozBZDLZEuVs3t7eNGrUiMjISFscjRs35vXXX2fIkCEopXBycmLy5MnUrFkz13HIyMigf//+WK1WZs6cWeBxmzhxIi+//DKzZ8/G19eXTz/9tBBHW4iywWJVTP37PIcuptC7kRctqkrSXV60D3AnzWzlr1OJuO+6yHMdq9/0HUIhhChNMnKlAx06dIh3332XpUuXOjSO63Xq1Ik1a9bg6+vr6FBKjIxcWXnlHMnMqhQzdlxgw8kEetTzpHMtd0ncyhmlFBtOJrDjXBKDmvsyvG3VXMs4egQ74ThS9pWXo8teRq4sYw4ePMjIkSN54oknHB2KEJWSUopv9l1mw8kEutb2oJMk3eWSpmn0qO/J7dVd+fVILEvDYxwdkhBC5KvApiZXr15l5syZxMfHo2kawcHB9O3b126Z8PBwPvroI6pWzapp6NSpk10f1kXx1Z5LRBXz8MD1fEw82aFasW6zqNq0acPWrVsdHUYuO3fudHQIQpSKVcfiWHU0jjsC3Olaxx2dJN3llqZp9GnsTZrZysIDV6jq5sTddb0cHZYQQuRSYOKt1+sZNmwY9evXJzU1lTFjxtC6detcbYObNWvGmDFjSixQIYQoLrvPJfHN3ss0q+JC93oe6HVy86+802kaA5v5knjwKp9tv0hVd6M8JCuEKHMKTLx9fHxsfUe7uLgQEBBAbGxsng/lFaeyUjMthKhYTsWlMfXv89TwNHJPQy8Mekm6KwonncYDLXyZv+8KE/86yye961HVXZ7LEEKUHTd1xbl8+TJRUVE0bNgw17yIiAhee+013n//fc6ePVtsATpCamoq999/PxcuXOCpp54qcPlVq1YRFBR0y81rbsYff/xBRESE7fXHH3/M5s2bi7St5557jpMnTxZXaEKUWVeTM5j41zmcnTT6N/bGzSiDO1U0bkY9D7byI92seGejjG4phChbCt2rSVpaGhMmTGDQoEF2XesBpKSkoNPpMJlM7Nu3jwULFjB9+vRc2wgLCyMsLAyAKVOmkJGRYTc/MTGx1HqN0Ol0tsFucpo3bx5ms5nnnnuuUNsaNGgQo0ePJjAwsFDLm81mnJxurSfH5557jnvuucc2yuSt2Lp1K4sXL2bGjBm3vK3y4EZlfyOZmZl4eHiUQESiNKSbLYxaepgTV5MZfkdNGvi7OTokUYIiriTxzc6zdKjlzef3t0FZJQGvjJycnDCbzY4OQziAo8veaDTmOb1QibfZbObDDz+kTZs29O/fv8CdPf/883zwwQcFDqVeVrsTHDBggK3/6uHDh7NhwwYWL17MunXrSE1N5dSpU/Tp04dx48bx6aefMmvWLKpXr05ISAivvfYab775JocOHUKv1zNhwgS6dOnC4sWLWb9+Penp6aSkpBAaGsqff/6JxWLh2LFjPPPMM2RkZLB06VKMRiOLFi3Cx8eH77//nu+//56MjAzq1avH9OnTOXz4MCNGjMDDwwMPDw/mzZvHZ599RnBwMK6urixevJg5c+YAsG3bNubMmcO3337Lpk2bmDp1KhkZGdSpU4dPP/0UNzc3rFYrd911F1u3br3lfwjKA+lOsPKxKsXUrefZdiaRgU19aFFNRlStDPZGJ/HH8WsMan0bw1vJw5aVkaO7lBOO4+iyL3J3gkopZs+eTUBAQL5Jd3x8PNn5+/Hjx7FareW2ZjAjI4MzZ85Qq1atXPPCw8P58ssvWb9+PStXriQ6OpqXXnqJNm3a8MUXXzB+/HgWLFgAwPr165k1axajR48mLS2rd5a9e/fy2WefsWTJEgCOHTvGzJkzWb16NR9++CEuLi6sXbuW9u3b88svvwBZo1D+/vvvhIWF0bBhQ3788UfuuOMOevXqxbhx41i3bh1169a1xRgYGMi+fftISUkBskafHDBgALGxsXz++ecsXryYP//8kzZt2jB37lwgqwa4bt26HDlypKQOqxAO9cPBq/x9JpF7mlahuQyQU2m0D3DnjgA3fj10gdXHYh0djhBCFPxw5bFjx9i8eTO1a9fmtddeA2DIkCG2/yJCQkLYsWMHa9euRa/XYzQaGT16dLntDzc2NjbfmvquXbva5jVu3Jjo6GgCAgLsltm9ezePPfYYAA0bNqRmzZq29tOBgYG2B1UB7rrrLtzd3XF3d8fDw4NevXoBWT3EZCfBx44d46OPPiIhIYHk5GSCgoJuGL+TkxPdu3dn3bp19OvXj/Xr1zNu3Di2b99OREQEAwcOBLJqb68fDt7f35+LFy/SunXrQh8rIcqDDSevsSQ8hturu3J3fV9Skh07cJYoXcENvEjIgK/2XuY2dyPtAtwdHZIQohIrMPFu2rQpP//88w2X6d27N7179y62oBzJZDKRnp6e57zr2+vodLo82w7dqOWOq6v97e2c23N2dgay+qS1WLLaI7700kt8/fXXtGjRgsWLF7N9+/YC38O9997Lt99+i7e3N7fffjvu7u4opQgMDGTWrFl5rpOeno7JZCpw20KUJ+GXU5i58wL1fZwJru+Nk/RgUunoNI2hHQKYsekkH26N5uPedant5ezosIQQlZRchXLw9vbGYrHYmofcrE6dOrFs2TIATpw4QXR0NA0aNChyPElJSVSrVo3MzEzbdiGrnXJycnKe69x11138888/fP/999x7770AtG/fnt27dxMVFQVk9dxy4sQJ2zonT56kSZMmRY5TiLLmQmIGH2yOxsfFib6NfXA2lM+7cOLWOTtl9XSi0zTe2XCWa2nysJ0QwjEk8c5DUFAQu3btKtK6w4cPx2Kx0LNnT5577jk+/fRTW012Ubz22mv079+fIUOG2HXjOHDgQL788ktCQkI4deqU3Tp6vZ7g4GA2btxoa77i5+fHp59+yvPPP09wcDD33nuvLfG+cuUKJpOJatWk73RRMSRlWJj01zmsVsW9TXzxMkm3gZWdl8mJwS39uJZm5r2N58iw3HzPRkIIcasK3Z1gSSirvZocPnyYOXPmVJru9ebOnYuHhwdDhgxxdCilQno1qdjMVsW7G88SfimF+5v70ui60Qs9PT1JSEhwYHTCEa4v93+vpPLrkVi61Pbgta41yu3zSKJwHN2zhXAcR5d9kXs1qYxatmxJly5dbO2sKzovLy8eeOABR4chxC1TSjF39yUOXUyhV0Mvu6RbCIBmVVwIquvB32cS+ekfSciEEKWr4nfaXEQPPfSQo0MoNQ8++KCjQxCiWKw8Gsefx+O5s5Y77W6TAXJE3rrU9iAmxcxP/8QQ4GkksK708S2EKB1S4y2EqBB2nUtk/r7LNKviQmAdD2lCIPKlaRr9mvhQ09PI59svcOxqqqNDEkJUEpJ4CyHKvVNxaUz7+zw1PI30bugl3QaKAjnpNB5o6YubUc97G89yJTnT0SEJISoBuToJIcq1a2lmJm+Kxlmvo39jb1yN0oOJKBxXg56HWvqRYVG8t/EsaWbp6UQIUbIk8S4hf/zxBxEREbbXoaGhHDx40CGxLF68mLFjx+Y5b8CAAUXaZs739/HHH7N58+YibasoDh48yPjx40ttf6JsyrQoPtwSTVyqmX5NvPF3k15nxM3xdzPwn2a+nLmWwSd/n7/hIGhCCHGrJPEuITkT01tRkr2rrFy5skjr5Xx/r732GoGBgcUV1g2ZzWbatGnDxIkTb2odUbEopZi35xLhl1MJaehFPR8ZeVUUTUM/Ez3qebLzXBI/HpKeToQQJUcS7xwef/xxevfuTffu3fnuu+9s0xs1asSUKVMIDg6mf//+XLlyBYBz584xePBggoODGTx4MNHR0ezevZt169YxadIkevXqZRvg5rfffqNfv3507dqVnTt3AllJ9cSJE+nbty/BwcEsWrQIgG3bthEaGsrzzz9Pz5497WK0WCyMHj2aHj160LNnT+bOnQvY16rHxsbSqVMn2zrnz59n6NCh3H333XzyySd27yvbl19+aYtj6tSptulLliwhODiY4OBg/vvf/+b5/kaPHs1vv/3Ghg0beOaZZ2zrbtu2jeHDhwOwadMm7r33Xu655x6efvrpPEfeDA0N5e2332bAgAH06NGD/fv3AzBt2jRef/11hgwZwosvvsi2bdt49NFHAYiLi+Pxxx+3lc2RI0fyXEdULL9HxNt6MGlT3dXR4YhyrnMtd1pUdWHx4Rj+PiN9vQshSkaZ7U7w8L4UEuKLt6bX01tPy3Y3vkBPmzYNHx8fUlNT6devH3379sXX15eUlBTatWvHmDFjmDRpEt9//z2jR49m7NixhIaGMnjwYH766SfGjx/PN998Q69evWyJYDaz2czq1atZv349n3zyCYsXL+bHH3/Ew8OD33//nfT0dO677z6CgoIAOHDgABs2bKB27dp2MYaHh3Px4kU2bNgAwLVr1wp87wcOHGD9+vW4uLjQr18/evbsSZs2bWzzN23aRFRUFKtXr0YpxYgRI9ixYwc+Pj5Mnz6dFStW4OvrS1xcHD4+Pnm+P4DAwEDeeOMNUlJScHV1ZeXKlQwYMIDY2Fg+//xzFi9ejKurKzNnzmTu3Lm89NJLuWJNTU1l5cqV7Nixg1deecX2Pg8dOsSyZctwcXFh27ZtdmXWsmVLvvnmG7Zu3cqLL77IunXrcq0jKo5DF5P5au8lmvibuFt6MBHFQNM0+jfxITbVzKd/X6CGh1Huogghil2BiffVq1eZOXMm8fHxaJpGcHAwffv2tVtGKcX8+fPZv38/zs7OjBw5kvr165dY0CXpm2++Yc2aNUBWLXFUVBS+vr4YjUbb8OutWrViy5YtAOzdu5evvvoKgPvvv59Jkyblu+3s49a6dWvOnTsHZCW8//77L6tXrwYgMTGRqKgoDAYDt99+e66kG6B27dqcOXOGcePG0bNnT1uifiN33303vr6+APTp04ddu3blSrw3bdpESEgIACkpKURFRXHkyBH69etnW9fHx+eG+3FycqJ79+6sW7eOfv36sX79esaNG8f27duJiIhg4MCBQNYokO3bt89zG9nLdO7cmcTERNs/FiEhIXkm0Lt27WLevHkAdO3albi4ONsodfmtI8qvC4kZfLQlmqpuBu5p6I1BejARxcRJp/FACz++2XeZdzee5bO+9fA2ldn6KSFEOVTgGUWv1zNs2DDq169PamoqY8aMoXXr1tSsWdO2zP79+7l48SLTp08nMjKSr776ivfff/+WAiuoZrokbNu2jS1btrBq1SpcXFwIDQ0lPT0dyEoos2vV9Hp9vm2Gb1TzZjQa81x/0qRJdOvWLVcsrq55HwNvb2/WrVvHX3/9xYIFC1i1ahWffPIJer0eqzXrqfy0tLQbxpXztVKKUaNGMWzYMLvpX3/99U3XJt577718++23eHt7c/vtt+Pu7o5SisDAQGbNmlXg+vnFmt/xyOthqILWEeVTSqaFSX+dw6qgfxMfPJylBxNRvDyc9TzQ0o+FB64w+a9zvN+rDga93FERQhSPAhNvHx8fWy2ni4sLAQEBxMbG2iXee/bsITAwEE3TaNy4McnJybYmCeVJYmIiXl5euLi4cPz4cfbt21fgOh06dGDFihWEhoby66+/0rFjRwDc3d3zbMOcU1BQEAsXLqRLly4YDAZOnDjBbbfddsN1YmNjMRgM9OvXjzp16tiaa9SqVYtDhw7Rtm1bWw16ti1bthAXF4fJZOLPP/9k2rRpdvO7devGxx9/zKBBg3Bzc+PChQsYDAa6du3KE088wVNPPWXX1ORG7++uu+7i1Vdf5fvvv+fee+8FoH379owdO5aoqCjq1atHamoq58+fp0GDBrnWX7lyJV26dGHXrl14enri6el5w+PRuXNnfv31V1566SW2bduGr68vHh4eN1xHlD8Wq2La1vOcT8zg/ua+VHOXHkxuVeJJK5nJFb8XjwSnRMzmwjddNKHnEbeqXI03s2xVLAGeRiT1Lp8MhjQyM6WP9sqo2m2KBs3K3jf3pu6hXb58maioKBo2bGg3PTY2Fn9/f9trPz8/YmNjcyXeYWFhhIWFATBlyhS7dSAr8TUYSudiqtPpcHd3t5vWv39/fvjhB0JCQmjYsCF33HEHLi4uuLu7o2mabXmTyYTBYMDd3Z1p06bx/PPPM3fuXPz8/Jg1axbu7u489NBDvPDCC8yfP5+FCxei1+tt20pPT7ft/+mnn+bSpUv07dsXpRT+/v58//33uLi44OTklCtGgKioKEaOHGmr6X3vvfdwd3fn5ZdfZsSIESxfvpzAwEDbPkwmE3feeScvv/wyJ0+e5IEHHqBLly52x6Ffv36cOXOG++67DwA3Nzfmzp1L+/btef311xk8eDB6vZ7WrVvz5Zdf5np/BoMBk8lki7dPnz788MMPfPXVV7i6uuLu7s7s2bP573//S0ZGBgDjxo2za+4CWXcDqlSpwn/+8x8SExNtx9NoNGI0Gm3bv/74jB8/nueff97WrGTu3Ll5rnOjsi+MzMxMSegd6Mutp9hzPpn+LarSvp5vkdp16/X6Av+Rq0zSjSlYkjNRFbz7akumQlM31yTJTa8jwwjxaWacdRb8XIwlFJ0oSelWKyi5M1YZpaVa8fev5ugwctFUITstTUtLY8KECQwaNMiutwyADz74gP/85z80bdoUyEoEH3nkkQLbeZ8/f97udWZmZqkl3u7u7iQlJZXKvsqq2NhYevfuza5duxwdik1oaCjjx4/PlZAXp6KWfWl+PoW9v6Ku8em2C7Sv4UZIQy90RXyY0tPT09b+X2RJj7VCBa/PdXFxITX15oeFV0qx/HQsJxPTeaF1dZr7upVAdKIkyXe+8vL29sTkdvPf++JSo0aNPKcXqgrAbDYzbdo07r777lxJN2TVcF+9+v99n8bExJS7ZiaVzcWLFxkwYADPPvuso0MR4oYirqbyxY6L1PdxpnvdoifdQtwsTdPoV8sHX2cn5oRf4lJKhqNDEkKUcwUm3kopZs+eTUBAQK6u47J16NCBzZs3o5QiIiICV1dXSbzLuOrVq7N161Yef/xxR4di55dffinR2m5RvsSkZPL+5mg8nfX0aeSNs0GSblG6jHod/6mb1avTjEMXSL2JtuJCCJFTgW28jx07xubNm6lduzavvfYaAEOGDLHVcIeEhNC2bVv27dvHCy+8gNFoZOTIkSUbtRCiwks3W3l/UzQpmRYeaumHt4t06yYcw9voxMDaviyJimFO+CVeaH2b3HkRQhRJodt4l4ScbbwzMjJsXe6VNGnjXXkVtexL8/NZ2Sml+GTbBbacSmBgU19aVCuevtilvWdu0sa78A7GJLPu/DV61vRicEP/glcQDiff+cqrXLfxLi2aptn6oRaiLLFarTI6YilaeiSWzacSuLuuB82ryuiBomxo4+dGG19X1p+7xraLkswJIW5embp36+TkhNlsxmw2l3iSk5mZKX17VlI3W/ZKKTRNw8mpTH1dKqztZxL57sAVWlZ14c6a7vIPjyhTetTwIjbdzHfHrlDFZKCRt4yMK4QovDKVSWiaVmrdtXl4eNhGpRSVi5R92RUZk8on285Ty8tISENvnGQ4eFHG6DWNgXV8+e74FWYdvsib7WpS1VW6GRVCFI5c1YQQZcKV5Ewmb4rG3ainfxNvXAxyehJlk0mv4/66fliVYvqh8yRnSk8nQojCkSubEMLhUjOtTN50jrRMK/c29cbHRWoQRdnm4+zEwDq+xKSZ+fLwRSxWh/VTIIQoRyTxFkI4lMWqmPZ3NKfj0+nbyJuans6ODkmIQqnl5sw9Nb2JvJbGomOXcWAnYUKIcqJMtfEWQlQ+8/dfZnd0Mr0aeNGkivRgIsqXFj6uxKWb2X4piepuRnrXlsHjhBD5kxpvIYTDrImIY9XROO4IcKNDgJv0YCLKpS7VPGjsaWLZyVj2X5HxIYQQ+ZPEWwjhEPvOJzF3zyWa+JvoVs9TRgIU5ZamafSp5UN1FwNfHbnM6UTpNUkIkTdJvIUQpe5MfDofbz1PdXcDvRt6Y5RuA0U5Z9Bp/KeOLy5OGjMOXSAuzezokIQQZZBc7YQQpSo+1czEv85i0Gn0b+KDu7Pe0SEJUSzcDHoG1fUjzWLl80PnSTPLSMxCCHsFPlw5a9Ys9u3bh5eXF9OmTcs1Pzw8nI8++oiqVasC0KlTJ0JDQ4s/UiFEuZdutvL+5nPEp1kY3MKPKm7SbaCoWKqYDAyo7cOvp2KZG36RUa1vk2ZUQgibAhPvbt260bt3b2bOnJnvMs2aNWPMmDHFGpgQomKxKsX0HReIuJrGgKY+1PGRbgNFxVTPw0SP2zxZfyGBn49f5aFGVRwdkhCijCiwqUnz5s1xd3cvjViEEBXYj4eusvV0IkF1PWhR1cXR4QhRotr6u9PWz5WN0QlsjL7m6HCEEGVEsfTjHRERwWuvvYaPjw/Dhg2jVq1axbFZIUQFsfHkNX4+HMPt1V3pXMtdug0UlUL327yIT7ewOPIqVV2caOHr5uiQhBAOpqlCDLV1+fJlPvzwwzzbeKekpKDT6TCZTOzbt48FCxYwffr0PLcTFhZGWFgYAFOmTCEjI+MWwy86JycnzGZ56rwykrIvXQeirzF62WHq+boytH1NTAbHPdOt1+uxWCwO239ZlHw5g4o+4KJOr8NqccyDjukWKwuORJOQYea9uxtTy1Pu9pQmvV6HxUFlLxzLYNBxW03Hfd+MRmOe02+5xtvV1dX2d7t27fj6669JSEjA09Mz17LBwcEEBwfbXl+9evVWd19k/v7+Dt2/cBwp+9JzJj6dN9edxsekJ6S+BxmpSWSkOi4eT09PEhISHBdAGZSeYgUq9h0IFxcXUlMd98G7r7YP3524wuRtkYxpVxNfkwwaXVrkO195eXt7OvRaX6NGjTyn33LVU3x8PNmV5sePH8dqteLh4XGrmxVClHOXkjKYsOEsek1jQFNfvEzSbaConDyNekLr+pFqtvLpwWgSM+SuixCVVYH/dn/22WccOXKExMREnn32WQYPHmy7TR8SEsKOHTtYu3Yter0eo9HI6NGjpf2mEJVcXKqZt9efJc1s5YEWvlRzl24DReVW1cXAoLq+LImK4bOD53m1bQAuTjKUhhCVTaHaeJeU8+fPO2rX0tygEpOyL1lJGRbGhZ3hfEIGg1r4Ub8MdRsot51zS4+Vpial6URCGitOx9LAy8SLrW/DIKO2lij5zlde3t6emNwc970vsaYmQgiRLd1sZdJf5zgTn869TXzKVNItRFnQwNNE75reRF5LY86RS1isFfzJViGEHUm8hRDFItOi+HBLNEevpNK3sQ9NqkjvDULkpbmPKz1u8+SfmBQWHruMtaJ3KyOEsJFHq4UQt8yqFNO3X2Dv+WRCGnjRqpok3ULcSDt/d1ItVrZfSsLVSc/ghn7yfJQQlYAk3kKIW6KUYu7uS2w+nUBQXQ86BLhJAiFEIdxV1YM0i5UN0ddwN+joV9fX0SEJIUqYJN5CiFvyw6GrrImMp3NNd+6q7SFJtxCFpGkaPW7zItWsWHkqDjeDnm4BXo4OSwhRgiTxFkIU2cqjsbah4IPqeqCTpFuIm6JpGn1qeZNhtfJj5FXcnHTcUU3GwhCiopKHK4UQRbLh5DW+3nuZZlVc6NXQCyfpFk2IItFrGvfW9iXA1cg3/17mcEyKo0MSQpQQuVIKIW7aznOJzNhxgQa+zvRp5I1Rkm4hbolBpzGori9+Jie+PHyR49fKRr/jQojiJVdLIcRN+edSMh9vOU+Ah5H+jX1wMchpRIji4KzXEVrPD3eDjhmHLnAuKd3RIQkhiplcMYUQhXY8Jo3Jf0Xj6+rEwKa+uDvrHR2SEBWKm5OeB+r54aRpfHrwPFdSMx0dkhCiGEniLYQolGNXU5mw4QwuBh33NfXBy0WSbiFKgpfRiQfq+WG2Kj7eH83F5AxHhySEKCaSeAshCnToYjJvrz+DyUnHoOa++LsZHB2SEBWan8nAg/X8ybQoPtofzZlEaXYiREVQYHeCs2bNYt++fXh5eTFt2rRc85VSzJ8/n/379+Ps7MzIkSOpX79+iQQrhCh9O88m8vHW8/i5OnFfMx/8XCXpFqI0VHExMKSBPz9HxTDtQDT/bX0bDb1kVFghyrMCa7y7devGW2+9le/8/fv3c/HiRaZPn87TTz/NV199VawBCiEc56+oa0zZEk11dwOhzf0k6RailPk4OzGkvh8mvY7PDl4gPFa6GhSiPCuwxrt58+Zcvnw53/l79uwhMDAQTdNo3LgxycnJxMXF4ePjU6yBFifrT/OIvXgOS6Y8tFIZxRoMUvaFsMa1CfO8O9Es9QIvnFyH60GLo0O6ZXonPdXN5f99FCerWTk6hBKn0+mxWst3ubfQm5hW4x5mHjTz38tb6Jxy2tEhlQtOTnq85DtfKenqNIZhjzk6jFxueeTK2NhY/P39ba/9/PyIjY3NM/EOCwsjLCwMgClTptitV5oSXVzISEtBbzY7ZP/CsVR6KvJY4I394nU7i7w70S7pFCPPr8OZCnLhytTQUfETzZtiqQyP+pjL/QNN3uYkxpxexSe1evN51UDSL22hR8IxR4dV5imzhl7Jd74yUslJDsszb+SWE2+Vxwday2fY6ODgYIKDg22vr169equ7L5qBj+DRthMJcXGO2b9wKA9PTxISEhwdRpmkFCy65MyvV51p5WamW0BVTjYf6uiwio2rqyspKXKr/nrpaS5A3ufsisLZ2Zn09IrxcGJfBcvj4cvqQVxpdje9PCWpvBEXV1dS5TtfKbl5uDkuzwRq1KiR5/RbrgTw8/Oze2MxMTFlupmJECJvFgWzz5v49aoz7dwz6e2TgUluDQhRphg0+I83NDTCL3E6VsZrSIWuEOXHLSfeHTp0YPPmzSiliIiIwNXVVRJvIcoZs4LPz7nwZ5yROz0yCfbORAakFKJsctLgXi9o7gyrr+n4OU7DKsm3EOVCgU1NPvvsM44cOUJiYiLPPvssgwcPxvy/ttEhISG0bduWffv28cILL2A0Ghk5cmSJBy2EKD7pVvj4rAt7Eg0EeWVwp6cZXcVueSBEuafToLcnGJNgQ6KOFKuVR/0UevnuClGmFZh4jx49+obzNU3jySefLK54hBClKNUCk8+4Ep6sp5dPBh3czeTziIYQoozRNOjhDiYNdiTrSLMqnqxixSDfYSHKLLmZLEQllWDWePuUG0eS9fTxTZekW4hySNOgizsEucGBVI2Zl3WkWx0dlRAiP5J4C1EJnU7TMeakK1FpOgb4ZdDGzSpJtxDlWAc3CHGHo2nw8UUdV6W3XCHKJEm8hahkNsU78foJN5IsGvf7p9PczSJJtxAVQCtXGOCpccmsMem8jsOpjo5ICJGTJN5CVBKZVphz3sSn51y5zdnK0KppNHCRe9JCVCQNTfCID7jpNGZczupuUHo8EaLsuOUBdIQQZd+VDI2Pz7oQkepEJ49M7vbKxCj/dgtRIfk4wcO+sC5BY/U1jZPpiif9rbhLv/xCOJxceoWo4A4k6Xn5hBtn0vUM8Eunh7ck3UJUdAYN+nhCT3eISINJF3ScqhiDdwpRrsnlV4gKyqrg58tG3j3lipteMaRKGi2lPbcQlYamwe2u8JCPhllpfHRRx+ZEGelSCEeSpiZCVEBJFvjsXNagOK3czPTwzsBNbjMLUSlVN8AwX1h9TeP7WI3j6VYe8VVy50sIB5DEW4gK5kSqjg/PuBKTqRHsnUF7dzN6ucAKUam56OB+b9iWnDXYztkMxbNVrFQzODoyISoXuRwLUYGsizUw5qQbGQoGV0mno6ck3UKILNmD7fzHC2LNGpMv6DiQ4uiohKhc5JIsRAWQboUZ50zMPO9CbWcrD1dJo550FSiEyEN956ymJ156jS+v6Fkap2GRdt9ClIpCNTU5cOAA8+fPx2q10rNnT+677z67+eHh4Xz00UdUrVoVgE6dOhEaGlrswQohcjuUpGfuBRPn0vXc5ZnJXZ7Sa4kQ4sY89TDEB9YnwtoEHUfTFEN9rdR1dnRkQlRsBSbeVquVr7/+mnHjxuHn58ebb75Jhw4dqFmzpt1yzZo1Y8yYMSUWqBDCXmymxvyLJrZcM+DnZOV+/zQau8jQ70KIwnHS4B5PqG2Av5I0plzUcbe74j5vJQ9jC1FCCky8jx8/TvXq1alWrRoAd911F7t3786VeAshSodZweoYIz9edsasoItnJnd4ZOIqF0ohRBE0c8lqfrI1WWNLksbeFMX9Poo73RQ6+UdeiGJVYOIdGxuLn5+f7bWfnx+RkZG5louIiOC1117Dx8eHYcOGUatWrVzLhIWFERYWBsCUKVPw9/e/ldhvSea5k3h6ejps/8JxdHp9uS37QwkwPQpOpkBTd+jhBzVcDIB0TVAYOp0OV1dXR4dRtigjULGzK03TcHaWNhQ34gz0dYF26Vb+iDezMEaxLUVjRHUnapvKb9s1nU6Hi3znKyVN0zk0z8xPgYm3yqOnfS3Hvex69eoxa9YsTCYT+/bt4+OPP2b69Om51gsODiY4ONj2+urVq0WJuVh4WC0kJCQ4bP/CcTw9Pctd2cebNb696MzGeCM+TlYG+mXS1MWCXkGK9EpQaK6urqTIAbOTnq6o6Im3s7Mz6ekybGNh+AAPecHhNNiSZGV8VAbdPRQDvBUu5TD/dnF1JVW+85WSm4ebQ/PMGjVq5Dm9wK+Rn58fMTExttcxMTH4+PjYLePq6orJZAKgXbt2WCyS1ApRHCwKfo8xMDLCnc3xBu70yGRY1TRauFmkm0AhRInQNGjlAo/5abQ0aWxI1PF2tI6dSTLqpRC3qsBLd4MGDbhw4QKXL1/GbDazbds2OnToYLdMfHy8rWb8+PHjWK1WPDw8SiZiISqJiBQ9r51wY+4FF6obrQyrlkZ3n0zcZdgrIUQpcNFBiCc87A0mncY3MTqmXdJxPsPRkQlRfhV4Cdfr9Tz++ONMnjwZq9VK9+7dqVWrFmvXrgUgJCSEHTt2sHbtWvR6PUajkdGjR+dqjiKEKJxrZo3vLjkTFmfAU6/o75tOC1ep4RZCOMZtRhjqAwdT4e9kmHhBR7Cnoq9X+Wx+IoQjaSqvRtyl5Pz5847aNR5nIkmIi3PY/oXjlNU23ufSday6amRjvAGzgg4eZu70zJRuvYqRtPHOLT3NBWnjLQorxQqbEuFIOjhrirvdFT09Fb5l9E6ctPGuvNw83PBoU9dh+8+vjXcZ/aoIUTkoBYeT9ayIMbIn0YCTpmjpauF2t0xuc1bSJ7cQokxx1UEfL2ibAbtTNdYnwoZEjXauimBPRT3pPEaIG5LEWwgHyLTC1msGVsYYiUrT466z0sUzg9ZuZnykZ0AhRBlX3Qj3GiHBorEnBQ6lwp4UHQ2cFb08rbRxQfoAFyIPkngLUYoSzbA2zsjqGCOxZh1VDRbu8UmnuasFF2lSIoQoZzz10MMDurppHEyFA6kw+4oefydFTw/FXe6KctwNuBDFThJvIUrBhXSNVTHOrI8zkK40GpgsBHmn0chkxUkuSkKIcs6ogzvcoL2rRkQ67E3RWBynsTJeEeih6O6h8JGMQwhJvIUoKelWOJTkRFicgV2JTug1aOFqprW7mZpGab8thKh4dBo0NWX9nMvISsDXJsC6BI073LKGoW9sAr2c/0QlJYm3EMUowayxO9GJ3YlO7E90Il1puOms3OmZSSs3M37SflsIUUnUNGb9xJs19qYo9qVo7EzW4aIpWroo2rhCSxfpklBULpJ4C3GLLqRr7Ew0sCvBiaMpeqxoeOmttHQzU8dkoZ7JirNcWIQQlZS3E/T01AhUEJUGJzI0DqfC7hQNPYomJmjtqmjjUna7JRSiuMhHXIibZFVwPFXPzgQndiU6cTY966nI6kYLnT0zqedsoaazkgFvhBDiOgYNGrtk/ViVRnQmHE/XiMpQHInV8RNQ25iVgLdxVdQ0IE3yRIUjibcQBbAquJCh43iqjvDkrGYkcWYdOhR1TFa6e6VT38VKVYO02xZCiMLQaVDLmPXTHY2YTIhIh6gMWHVNY9U1HX76rAS8obOithH8nSQRF+WfJN5CXMei4Hy6jhNpek6k6jiRqudkmp40a9bZ3llTNHCx0Nkjk/ouFrzkGySEELfMzwB3GuBONJIsEJkOURkamxNhQ2LW7UNXXVYCXtuY9buOUVFFknFRzkjaICoti4Lo9Kzk+kRa1u+o65Jsg6aoZrTS3NWMv8FKVYOV6kaFUZqQCCFEiXHXQ1vXrB+z0ricCRfNcMWsccWsiEzTsJB1nnbR/peMO9sn4zJ4jyirCpV4HzhwgPnz52O1WunZsyf33Xef3XylFPPnz2f//v04OzszcuRI6tevXxLxClFoZgWxmRpXMnVctf3WEXsOLqa6cTFDR4bKOjsb/5dkt8hOso1WqhsUBkmyhRDCYZw0qGHM+smiYVFwORMumOHq/5LxDQn/n4w7a1nJt48TVDNl4qk0fJ3AV5/18KaXXhJz4TgFJt5Wq5Wvv/6acePG4efnx5tvvkmHDh2oWbOmbZn9+/dz8eJFpk+fTmRkJF999RXvv/9+iQYuKqdMKyRbNZIt2T+QZNFIsGhc/V9ifSVT40qGjjizhhX7s6urTuFjBDedorXb/yfZ1STJFkKIckGvwW3GrJ8sWcn4FTNczMyqGU+yKi5mQmS6lTSr/cldh8JHn5WY+zopfPXg6wRuuqxrhIsOXP/346LLSv6FKC4FJt7Hjx+nevXqVKtWDYC77rqL3bt32yXee/bsITAwEE3TaNy4McnJycTFxeHj41NykYsSoxQosn7432/1vxdWsh42tJD1VLrttfr/eVa065aBTKWRqbKS5gzb3xoZ2fOs2P7O+N8y2Ul1skWzS7Sza6jzokfh5aTw1Fup4WyhsYvC3UnhoVN4Oim8nbJOqG5urqSkZJTgERRCCFGa9BpUN2T9ZPlf7bezM9dS0kmwQrwFkiyQaM1KzJOscDRVI9EKivyvLUZN2SXiWb8VLlrWiJ1OZPXY4qRl/c7+yXqt7OY5aaAjq8ZdR9aP9r+/9df9nXO+ZntH//+3tG0vnwpMvGNjY/Hz87O99vPzIzIyMtcy/v7+dsvExsaW2cT7pd+juJBgQSkPR4dSLLKTYvj/ZDnP5fL4OzvJzp52o5NPSdOhcPrficmkU5h0CmcduOsUfk5WjDqFUQNnHTjrFM6awlkDk17hqlN46pEu/IQQQtgx6bN+qtoNYPb/1zqrykrIU62QqiBdZY08nK6yKoXSrRoZKNKtkGGFyxZIVxrpVjCT1azRkddO7X9X8ZyJud0y+YSXa7lijMvRmrpl8F4bR0eRW4GJt1K5UzktRwkWZhmAsLAwwsLCAJgyZQo1atQodKDFafGTjtmvEEIIIYSovAqsH/Tz8yMmJsb2OiYmJldNtp+fH1evXr3hMgDBwcFMmTKFKVOm3ErMxWLMmDGODkE4iJR95SVlXzlJuVdeUvaVV1kt+wIT7wYNGnDhwgUuX76M2Wxm27ZtdOjQwW6ZDh06sHnzZpRSRERE4OrqWmabmQghhBBCCOEIBTY10ev1PP7440yePBmr1Ur37t2pVasWa9euBSAkJIS2bduyb98+XnjhBYxGIyNHjizxwIUQQgghhChPCtWPd7t27WjXrp3dtJCQENvfmqbx5JNPFm9kJSw4ONjRIQgHkbKvvKTsKycp98pLyr7yKqtlr6m8nowUQgghhBBCFCvpfE0IIYQQQohSUKimJuWZDHdfORVU7lu2bGHFihUAmEwmnnzySerWrVv6gYpiV1DZZzt+/Dhjx47lpZdeonPnzqUbpCgRhSn78PBwFixYgMViwcPDg3fffbf0AxXFrqCyT0lJYfr06cTExGCxWLj33nvp3r27Y4IVxWbWrFns27cPLy8vpk2blmt+mczxVAVmsVjUqFGj1MWLF1VmZqZ69dVX1dmzZ+2W2bt3r5o8ebKyWq3q2LFj6s0333RQtKK4FKbcjx49qhITE5VSSu3bt0/KvYIoTNlnL/fOO++o999/X23fvt0BkYriVpiyT0pKUqNHj1ZXrlxRSikVHx/viFBFMStM2S9dulQtWrRIKaXUtWvX1IgRI1RmZqYjwhXFKDw8XJ04cUK9/PLLec4vizlehW5qcv1w905OTrbh7q+X33D3ovwqTLk3adIEd3d3ABo1amTXV70ovwpT9gBr1qyhU6dOeHp6OiBKURIKU/Zbt26lU6dOtpGWvby8HBGqKGaFKXtN00hLS0MpRVpaGu7u7uh0FToFqhSaN29uu5bnpSzmeBX6U5fXcPexsbG5lslruHtRfhWm3K+3YcMG2rZtWxqhiRJW2O/8rl277HpmEuVfYcr+woULJCUl8c477/DGG2+wadOm0g5TlIDClH3v3r2Jjo7mmWee4ZVXXuGxxx6TxLsSKIs5XoVu462Kcbh7UX7cTJkePnyYjRs38t5775V0WKIUFKbsFyxYwNChQ+WiW8EUpuwtFgtRUVGMHz+ejIwMxo0bR6NGjahRo0ZphSlKQGHK/uDBg9SpU4e3336bS5cuMXHiRJo2bYqrq2tphSkcoCzmeBU68S7O4e5F+VGYcgc4ffo0c+bM4c0338TDw6M0QxQlpDBlf+LECT7//HMAEhIS2L9/Pzqdjo4dO5ZqrKJ4FfZ87+HhgclkwmQy0axZM06fPi2JdzlXmLLfuHEj9913H5qmUb16dapWrcr58+dp2LBhaYcrSlFZzPEqdJWPDHdfORWm3K9evcrUqVMZNWqUXHQrkMKU/cyZM20/nTt35sknn5SkuwIo7Pn+6NGjWCwW0tPTOX78OAEBAQ6KWBSXwpS9v78///zzDwDx8fGcP3+eqlWrOiJcUYrKYo5X4QfQ2bdvH99++61tuPtBgwbZDXevlOLrr7/m4MGDtuHuGzRo4OCoxa0qqNxnz57Nzp07bW2/9Ho9U6ZMcWTIopgUVPbXmzlzJu3bt5fuBCuIwpT9ypUr2bhxIzqdjh49etCvXz9HhiyKSUFlHxsby6xZs2wP1g0cOJDAwEBHhiyKwWeffcaRI0dITEzEy8uLwYMHYzabgbKb41X4xFsIIYQQQoiyoEI3NRFCCCGEEKKskMRbCCGEEEKIUiCJtxBCCCGEEKVAEm8hhBBCCCFKgSTeQgghhBBClAJJvIUQQgghhCgFkngLIYQQQghRCiTxFkIIIYQQohT8H7wUCwaLPdFmAAAAAElFTkSuQmCC", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import scipy.stats as stats\n", + "from IPython.core.pylabtools import figsize\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mtl\n", + "mtl.style.use(\"ggplot\")\n", + "\n", + "figsize(12.5,3)\n", + "colors = [\"#348ABD\", \"#A60628\", \"#7A68A6\", \"#467821\"]\n", + "\n", + "x = np.linspace(0,1)\n", + "y1, y2 = stats.beta.pdf(x, 1,1), stats.beta.pdf(x, 10,10)\n", + "\n", + "p = plt.plot(x, y1, \n", + " label='An objective prior \\n(uninformative, \\n\"Principle of Indifference\")')\n", + "plt.fill_between(x, 0, y1, color = p[0].get_color(), alpha = 0.3)\n", + "\n", + "p = plt.plot(x,y2 ,\n", + " label = \"A subjective prior \\n(informative)\")\n", + "plt.fill_between(x, 0, y2, color = p[0].get_color(), alpha = 0.3)\n", + "\n", + "p = plt.plot(x[25:], 2*np.ones(25), label = \"another subjective prior\")\n", + "plt.fill_between(x[25:], 0, 2, color = p[0].get_color(), alpha = 0.3)\n", + "\n", + "plt.ylim(0,4)\n", + "\n", + "plt.ylim(0, 4)\n", + "leg = plt.legend(loc = \"upper left\")\n", + "leg.get_frame().set_alpha(0.4)\n", + "plt.title(\"Comparing objective vs. subjective priors for an unknown probability\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The choice of a subjective prior does not always imply that we are using the practitioner's subjective opinion: more often the subjective prior was once a posterior to a previous problem, and now the practitioner is updating this posterior with new data. A subjective prior can also be used to inject *domain knowledge* of the problem into the model. We will see examples of these two situations later." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Decision, decisions...\n", + "\n", + "The choice, either *objective* or *subjective* mostly depends on the problem being solved, but there are a few cases where one is preferred over the other. In instances of scientific research, the choice of an objective prior is obvious. This eliminates any biases in the results, and two researchers who might have differing prior opinions would feel an objective prior is fair. Consider a more extreme situation:\n", + "\n", + "> A tobacco company publishes a report with a Bayesian methodology that retreated 60 years of medical research on tobacco use. Would you believe the results? Unlikely. The researchers probably chose a subjective prior that too strongly biased results in their favor.\n", + "\n", + "Unfortunately, choosing an objective prior is not as simple as selecting a flat prior, and even today the problem is still not completely solved. The problem with naively choosing the uniform prior is that pathological issues can arise. Some of these issues are pedantic, but we delay more serious issues to the Appendix of this Chapter (TODO)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We must remember that choosing a prior, whether subjective or objective, is still part of the modeling process. To quote Gelman [5]:\n", + "\n", + ">... after the model has been fit, one should look at the posterior distribution\n", + "and see if it makes sense. If the posterior distribution does not make sense, this implies\n", + "that additional prior knowledge is available that has not been included in the model,\n", + "and that contradicts the assumptions of the prior distribution that has been used. It is\n", + "then appropriate to go back and alter the prior distribution to be more consistent with\n", + "this external knowledge.\n", + "\n", + "If the posterior does not make sense, then clearly one had an idea what the posterior *should* look like (not what one *hopes* it looks like), implying that the current prior does not contain all the prior information and should be updated. At this point, we can discard the current prior and choose a more reflective one.\n", + "\n", + "Gelman [4] suggests that using a uniform distribution with large bounds is often a good choice for objective priors. Although, one should be wary about using Uniform objective priors with large bounds, as they can assign too large of a prior probability to non-intuitive points. Ask yourself: do you really think the unknown could be incredibly large? Often quantities are naturally biased towards 0. A Normal random variable with large variance (small precision) might be a better choice, or an Exponential with a fat tail in the strictly positive (or negative) case. \n", + "\n", + "If using a particularly subjective prior, it is your responsibility to be able to explain the choice of that prior, else you are no better than the tobacco company's guilty parties. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Empirical Bayes\n", + "\n", + "While not a true Bayesian method, *empirical Bayes* is a trick that combines frequentist and Bayesian inference. As mentioned previously, for (almost) every inference problem there is a Bayesian method and a frequentist method. The significant difference between the two is that Bayesian methods have a prior distribution, with hyperparameters $\\alpha$, while empirical methods do not have any notion of a prior. Empirical Bayes combines the two methods by using frequentist methods to select $\\alpha$, and then proceeds with Bayesian methods on the original problem. \n", + "\n", + "A very simple example follows: suppose we wish to estimate the parameter $\\mu$ of a Normal distribution, with $\\sigma = 5$. Since $\\mu$ could range over the whole real line, we can use a Normal distribution as a prior for $\\mu$. How to select the prior's hyperparameters, denoted ($\\mu_p, \\sigma_p^2$)? The $\\sigma_p^2$ parameter can be chosen to reflect the uncertainty we have. For $\\mu_p$, we have two options:\n", + "\n", + "1. Empirical Bayes suggests using the empirical sample mean, which will center the prior around the observed empirical mean:\n", + "\n", + "$$ \\mu_p = \\frac{1}{N} \\sum_{i=0}^N X_i $$\n", + "\n", + "2. Traditional Bayesian inference suggests using prior knowledge, or a more objective prior (zero mean and fat standard deviation).\n", + "\n", + "Empirical Bayes can be argued as being semi-objective, since while the choice of prior model is ours (hence subjective), the parameters are solely determined by the data.\n", + "\n", + "Personally, I feel that Empirical Bayes is *double-counting* the data. That is, we are using the data twice: once in the prior, which will influence our results towards the observed data, and again in the inferential engine of MCMC. This double-counting will understate our true uncertainty. To minimize this double-counting, I would only suggest using Empirical Bayes when you have *lots* of observations, else the prior will have too strong of an influence. I would also recommend, if possible, to maintain high uncertainty (either by setting a large $\\sigma_p^2$ or equivalent.)\n", + "\n", + "Empirical Bayes also violates a theoretical axiom in Bayesian inference. The textbook Bayesian algorithm of:\n", + "\n", + ">*prior* $\\Rightarrow$ *observed data* $\\Rightarrow$ *posterior* \n", + "\n", + "is violated by Empirical Bayes, which instead uses \n", + "\n", + ">*observed data* $\\Rightarrow$ *prior* $\\Rightarrow$ *observed data* $\\Rightarrow$ *posterior*\n", + "\n", + "Ideally, all priors should be specified *before* we observe the data, so that the data does not influence our prior opinions (see the volumes of research by Daniel Kahneman *et. al* about [anchoring](http://en.wikipedia.org/wiki/Anchoring_and_adjustment))." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Useful priors to know about\n", + "\n", + "### The Gamma distribution\n", + "\n", + "A Gamma random variable, denoted $X \\sim \\text{Gamma}(\\alpha, \\beta)$, is a random variable over the positive real numbers. It is in fact a generalization of the Exponential random variable, that is:\n", + "\n", + "$$ \\text{Exp}(\\beta) \\sim \\text{Gamma}(1, \\beta) $$\n", + "\n", + "This additional parameter allows the probability density function to have more flexibility, hence allowing the practitioner to express his or her subjective priors more accurately. The density function for a $\\text{Gamma}(\\alpha, \\beta)$ random variable is:\n", + "\n", + "$$ f(x \\mid \\alpha, \\beta) = \\frac{\\beta^{\\alpha}x^{\\alpha-1}e^{-\\beta x}}{\\Gamma(\\alpha)} $$\n", + "\n", + "where $\\Gamma(\\alpha)$ is the [Gamma function](http://en.wikipedia.org/wiki/Gamma_function), and for differing values of $(\\alpha, \\beta)$ looks like:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 5)\n", + "gamma = stats.gamma\n", + "\n", + "parameters = [(1, 0.5), (9, 2), (3, 0.5), (7, 0.5)]\n", + "x = np.linspace(0.001 ,20, 150)\n", + "for alpha, beta in parameters:\n", + " y = gamma.pdf(x, alpha, scale=1./beta)\n", + " lines = plt.plot(x, y, label = \"(%.1f,%.1f)\"%(alpha,beta), lw = 3)\n", + " plt.fill_between(x, 0, y, alpha = 0.2, color = lines[0].get_color())\n", + " plt.autoscale(tight=True)\n", + " \n", + "plt.legend(title=r\"$\\alpha, \\beta$ - parameters\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Wishart distribution\n", + "\n", + "Until now, we have only seen random variables that are scalars. Of course, we can also have *random matrices*! Specifically, the Wishart distribution is a distribution over all [positive semi-definite matrices](http://en.wikipedia.org/wiki/Positive-definite_matrix). Why is this useful to have in our arsenal? (Proper) covariance matrices are positive-definite, hence the Wishart is an appropriate prior for covariance matrices. We can't really visualize a distribution of matrices, so I'll plot some realizations from the $5 \\times 5$ (above) and $20 \\times 20$ (below) Wishart distribution:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "n = 4\n", + "for i in range(10):\n", + " ax = plt.subplot(2, 5, i+1)\n", + " if i >= 5:\n", + " n = 15\n", + " plt.imshow(stats.wishart.rvs(n+1, np.eye(n)), interpolation=\"none\", \n", + " cmap = \"hot\")\n", + " ax.axis(\"off\")\n", + " \n", + "plt.suptitle(\"Random matrices from a Wishart Distribution\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One thing to notice is the symmetry of these matrices. The Wishart distribution can be a little troubling to deal with, but we will use it in an example later." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The Beta distribution\n", + "\n", + "You may have seen the term `beta` in previous code in this book. Often, I was implementing a Beta distribution. The Beta distribution is very useful in Bayesian statistics. A random variable $X$ has a $\\text{Beta}$ distribution, with parameters $(\\alpha, \\beta)$, if its density function is:\n", + "\n", + "$$f_X(x | \\; \\alpha, \\beta ) = \\frac{ x^{(\\alpha - 1)}(1-x)^{ (\\beta - 1) } }{B(\\alpha, \\beta) }$$\n", + "\n", + "where $B$ is the [Beta function](http://en.wikipedia.org/wiki/Beta_function) (hence the name). The random variable $X$ is only allowed in [0,1], making the Beta distribution a popular distribution for decimal values, probabilities and proportions. The values of $\\alpha$ and $\\beta$, both positive values, provide great flexibility in the shape of the distribution. Below we plot some distributions:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 5)\n", + "\n", + "params = [(2, 5), (1, 1), (0.5, 0.5), (5, 5), (20, 4), (5, 1)]\n", + "\n", + "x = np.linspace(0.01, .99, 100)\n", + "beta = stats.beta\n", + "for a, b in params:\n", + " y = beta.pdf(x, a, b)\n", + " lines = plt.plot(x, y, label = \"(%.1f,%.1f)\"%(a,b), lw = 3)\n", + " plt.fill_between(x, 0, y, alpha = 0.2, color = lines[0].get_color())\n", + " plt.autoscale(tight=True)\n", + "plt.ylim(0)\n", + "plt.legend(loc = 'upper left', title=\"(a,b)-parameters\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One thing I'd like the reader to notice is the presence of the flat distribution above, specified by parameters $(1,1)$. This is the Uniform distribution. Hence the Beta distribution is a generalization of the Uniform distribution, something we will revisit many times.\n", + "\n", + "There is an interesting connection between the Beta distribution and the Binomial distribution. Suppose we are interested in some unknown proportion or probability $p$. We assign a $\\text{Beta}(\\alpha, \\beta)$ prior to $p$. We observe some data generated by a Binomial process, say $X \\sim \\text{Binomial}(N, p)$, with $p$ still unknown. Then our posterior *is again a Beta distribution*, i.e. $p | X \\sim \\text{Beta}( \\alpha + X, \\beta + N -X )$. Succinctly, one can relate the two by \"a Beta prior with Binomial observations creates a Beta posterior\". This is a very useful property, both computationally and heuristically.\n", + "\n", + "In light of the above two paragraphs, if we start with a $\\text{Beta}(1,1)$ prior on $p$ (which is a Uniform), observe data $X \\sim \\text{Binomial}(N, p)$, then our posterior is $\\text{Beta}(1 + X, 1 + N - X)$. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Bayesian Multi-Armed Bandits\n", + "*Adapted from an example by Ted Dunning of MapR Technologies*\n", + "\n", + "> Suppose you are faced with $N$ slot machines (colourfully called multi-armed bandits). Each bandit has an unknown probability of distributing a prize (assume for now the prizes are the same for each bandit, only the probabilities differ). Some bandits are very generous, others not so much. Of course, you don't know what these probabilities are. By only choosing one bandit per round, our task is devise a strategy to maximize our winnings.\n", + "\n", + "Of course, if we knew the bandit with the largest probability, then always picking this bandit would yield the maximum winnings. So our task can be phrased as \"Find the best bandit, and as quickly as possible\". \n", + "\n", + "The task is complicated by the stochastic nature of the bandits. A suboptimal bandit can return many winnings, purely by chance, which would make us believe that it is a very profitable bandit. Similarly, the best bandit can return many duds. Should we keep trying losers then, or give up? \n", + "\n", + "A more troublesome problem is, if we have found a bandit that returns *pretty good* results, do we keep drawing from it to maintain our *pretty good score*, or do we try other bandits in hopes of finding an *even-better* bandit? This is the exploration vs. exploitation dilemma.\n", + "\n", + "### Applications\n", + "\n", + "\n", + "The Multi-Armed Bandit problem at first seems very artificial, something only a mathematician would love, but that is only before we address some applications:\n", + "\n", + "- Internet display advertising: companies have a suite of potential ads they can display to visitors, but the company is not sure which ad strategy to follow to maximize sales. This is similar to A/B testing, but has the added advantage of naturally minimizing strategies that do not work (and generalizes to A/B/C/D... strategies)\n", + "- Ecology: animals have a finite amount of energy to expend, and following certain behaviours has uncertain rewards. How does the animal maximize its fitness?\n", + "- Finance: which stock option gives the highest return, under time-varying return profiles.\n", + "- Clinical trials: a researcher would like to find the best treatment, out of many possible treatment, while minimizing losses. \n", + "- Psychology: how does punishment and reward affect our behaviour? How do humans learn?\n", + "\n", + "Many of these questions above are fundamental to the application's field.\n", + "\n", + "It turns out the *optimal solution* is incredibly difficult, and it took decades for an overall solution to develop. There are also many approximately-optimal solutions which are quite good. The one I wish to discuss is one of the few solutions that can scale incredibly well. The solution is known as *Bayesian Bandits*.\n", + "\n", + "\n", + "### A Proposed Solution\n", + "\n", + "\n", + "Any proposed strategy is called an *online algorithm* (not in the internet sense, but in the continuously-being-updated sense), and more specifically a reinforcement learning algorithm. The algorithm starts in an ignorant state, where it knows nothing, and begins to acquire data by testing the system. As it acquires data and results, it learns what the best and worst behaviours are (in this case, it learns which bandit is the best). With this in mind, perhaps we can add an additional application of the Multi-Armed Bandit problem:\n", + "\n", + "- Psychology: how does punishment and reward affect our behaviour? How do humans learn?\n", + "\n", + "\n", + "The Bayesian solution begins by assuming priors on the probability of winning for each bandit. In our vignette we assumed complete ignorance of these probabilities. So a very natural prior is the flat prior over 0 to 1. The algorithm proceeds as follows:\n", + "\n", + "For each round:\n", + "\n", + "1. Sample a random variable $X_b$ from the prior of bandit $b$, for all $b$.\n", + "2. Select the bandit with largest sample, i.e. select $B = \\text{argmax}\\;\\; X_b$.\n", + "3. Observe the result of pulling bandit $B$, and update your prior on bandit $B$.\n", + "4. Return to 1.\n", + "\n", + "That's it. Computationally, the algorithm involves sampling from $N$ distributions. Since the initial priors are $\\text{Beta}(\\alpha=1,\\beta=1)$ (a uniform distribution), and the observed result $X$ (a win or loss, encoded 1 and 0 respectfully) is Binomial, the posterior is a $\\text{Beta}(\\alpha=1+X,\\beta=1+1−X)$.\n", + "\n", + "To answer our question from before, this algorithm suggests that we should not discard losers, but we should pick them at a decreasing rate as we gather confidence that there exist *better* bandits. This follows because there is always a non-zero chance that a loser will achieve the status of $B$, but the probability of this event decreases as we play more rounds (see figure below).\n", + "\n", + "Below we implement Bayesian Bandits using two classes, `Bandits` that defines the slot machines, and `BayesianStrategy` which implements the above learning strategy." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "rand = np.random.rand\n", + "\n", + "class Bandits(object):\n", + " \"\"\"\n", + " This class represents N bandits machines.\n", + "\n", + " parameters:\n", + " p_array: a (n,) Numpy array of probabilities >0, <1.\n", + "\n", + " methods:\n", + " pull( i ): return the results, 0 or 1, of pulling \n", + " the ith bandit.\n", + " \"\"\"\n", + " def __init__(self, p_array):\n", + " self.p = p_array\n", + " self.optimal = np.argmax(p_array)\n", + " \n", + " def pull(self, i):\n", + " #i is which arm to pull\n", + " return np.random.rand() < self.p[i]\n", + " \n", + " def __len__(self):\n", + " return len(self.p)\n", + "\n", + " \n", + "class BayesianStrategy(object):\n", + " \"\"\"\n", + " Implements a online, learning strategy to solve\n", + " the Multi-Armed Bandit problem.\n", + " \n", + " parameters:\n", + " bandits: a Bandit class with .pull method\n", + " \n", + " methods:\n", + " sample_bandits(n): sample and train on n pulls.\n", + "\n", + " attributes:\n", + " N: the cumulative number of samples\n", + " choices: the historical choices as a (N,) array\n", + " bb_score: the historical score as a (N,) array\n", + " \"\"\"\n", + " \n", + " def __init__(self, bandits):\n", + " \n", + " self.bandits = bandits\n", + " n_bandits = len(self.bandits)\n", + " self.wins = np.zeros(n_bandits)\n", + " self.trials = np.zeros(n_bandits)\n", + " self.N = 0\n", + " self.choices = []\n", + " self.bb_score = []\n", + "\n", + " \n", + " def sample_bandits(self, n=1):\n", + " \n", + " bb_score = np.zeros(n)\n", + " choices = np.zeros(n)\n", + " \n", + " for k in range(n):\n", + " #sample from the bandits's priors, and select the largest sample\n", + " choice = np.argmax(np.random.beta(1 + self.wins, 1 + self.trials - self.wins))\n", + " \n", + " #sample the chosen bandit\n", + " result = self.bandits.pull(choice)\n", + " \n", + " #update priors and score\n", + " self.wins[choice] += result\n", + " self.trials[choice] += 1\n", + " bb_score[k] = result \n", + " self.N += 1\n", + " choices[k] = choice\n", + " \n", + " self.bb_score = np.r_[self.bb_score, bb_score]\n", + " self.choices = np.r_[self.choices, choices]\n", + " return " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below we visualize the learning of the Bayesian Bandit solution." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "figsize(11.0, 10)\n", + "\n", + "beta = stats.beta\n", + "x = np.linspace(0.001,.999,200)\n", + "\n", + "def plot_priors(bayesian_strategy, prob, lw = 3, alpha = 0.2, plt_vlines = True):\n", + " ## plotting function\n", + " wins = bayesian_strategy.wins\n", + " trials = bayesian_strategy.trials\n", + " for i in range(prob.shape[0]):\n", + " y = beta(1+wins[i], 1 + trials[i] - wins[i])\n", + " p = plt.plot(x, y.pdf(x), lw = lw)\n", + " c = p[0].get_markeredgecolor()\n", + " plt.fill_between(x,y.pdf(x),0, color = c, alpha = alpha, \n", + " label=\"underlying probability: %.2f\" % prob[i])\n", + " if plt_vlines:\n", + " plt.vlines(prob[i], 0, y.pdf(prob[i]) ,\n", + " colors = c, linestyles = \"--\", lw = 2)\n", + " plt.autoscale(tight = \"True\")\n", + " plt.title(\"Posteriors After %d pull\" % bayesian_strategy.N +\\\n", + " \"s\"*(bayesian_strategy.N > 1))\n", + " plt.autoscale(tight=True)\n", + " return" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hidden_prob = np.array([0.85, 0.60, 0.75])\n", + "bandits = Bandits(hidden_prob)\n", + "bayesian_strat = BayesianStrategy(bandits)\n", + "\n", + "draw_samples = [1, 1, 3, 10, 10, 25, 50, 100, 200, 600]\n", + "\n", + "for j,i in enumerate(draw_samples):\n", + " plt.subplot(5, 2, j+1) \n", + " bayesian_strat.sample_bandits(i)\n", + " plot_priors(bayesian_strat, hidden_prob)\n", + " #plt.legend()\n", + " plt.autoscale(tight = True)\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that we don't really care how accurate we become about the inference of the hidden probabilities — for this problem we are more interested in choosing the best bandit (or more accurately, becoming *more confident* in choosing the best bandit). For this reason, the distribution of the red bandit is very wide (representing ignorance about what that hidden probability might be) but we are reasonably confident that it is not the best, so the algorithm chooses to ignore it.\n", + "\n", + "From the above, we can see that after 1000 pulls, the majority of the \"blue\" function leads the pack, hence we will almost always choose this arm. This is good, as this arm is indeed the best.\n", + "\n", + "Below is a D3 app that demonstrates our algorithm updating/learning three bandits. The first figure are the raw counts of pulls and wins, and the second figure is a dynamically updating plot. I encourage you to try to guess which bandit is optimal, prior to revealing the true probabilities, by selecting the `arm buttons`." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " \n", + " \n", + "\n", + " \n", + "\n", + "\n", + " \n", + "
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Denote this best bandit's probability by $w_{opt}$. Our score should be relative to how well we would have done had we chosen the best bandit from the beginning. This motivates the *total regret* of a strategy, defined:\n", + "\n", + "\\begin{align}\n", + "R_T & = \\sum_{i=1}^{T} \\left( w_{opt} - w_{B(i)} \\right)\\\\\\\\\n", + "& = Tw^* - \\sum_{i=1}^{T} \\; w_{B(i)} \n", + "\\end{align}\n", + "\n", + "\n", + "where $w_{B(i)}$ is the probability of a prize of the chosen bandit in the $i$ round. A total regret of 0 means the strategy is matching the best possible score. This is likely not possible, as initially our algorithm will often make the wrong choice. Ideally, a strategy's total regret should flatten as it learns the best bandit. (Mathematically, we achieve $w_{B(i)}=w_{opt}$ often)\n", + "\n", + "\n", + "Below we plot the total regret of this simulation, including the scores of some other strategies:\n", + "\n", + "1. Random: randomly choose a bandit to pull. If you can't beat this, just stop. \n", + "2. Largest Bayesian credible bound: pick the bandit with the largest upper bound in its 95% credible region of the underlying probability. \n", + "3. Bayes-UCB algorithm: pick the bandit with the largest *score*, where score is a dynamic quantile of the posterior (see [4] )\n", + "3. Mean of posterior: choose the bandit with the largest posterior mean. This is what a human player (sans computer) would likely do. \n", + "3. Largest proportion: pick the bandit with the current largest observed proportion of winning. \n", + "\n", + "The code for these are in the `other_strats.py`, where you can implement your own very easily." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "figsize(12.5, 5)\n", + "from other_strats import *\n", + "\n", + "#define a harder problem\n", + "hidden_prob = np.array([0.15, 0.2, 0.1, 0.05])\n", + "bandits = Bandits(hidden_prob)\n", + "\n", + "#define regret\n", + "def regret(probabilities, choices):\n", + " w_opt = probabilities.max()\n", + " return (w_opt - probabilities[choices.astype(int)]).cumsum()\n", + "\n", + "#create new strategies\n", + "strategies= [upper_credible_choice, \n", + " bayesian_bandit_choice, \n", + " ucb_bayes , \n", + " max_mean,\n", + " random_choice]\n", + "algos = []\n", + "for strat in strategies:\n", + " algos.append(GeneralBanditStrat(bandits, strat))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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5OTlYvXq113USFRUFm80mXivPPPMM3nrrLYwYMQLPP/88fv/9d3H5K6+8EjfddBMGDBiAO+64AwsXLkRBQcElt9uY432pa5N0TpTckw6J47iApgPA2bNncfPNN6Nbt2749ttvsWvXLqxduxZA027cS05ORu/evTFlyhQ899xzuP3222G32wEAgiCgb9++YjLn+Xf48GF8/vnn9cZbX/wajUb8WRAEAMDChQu91r1v3z4cP34cAwcODHhf6m6XMdZgPA2JjIxEcnIykpOTMXLkSHz11VeorKzEZ599BqC68s5dd92Fa6+9FqtXr8aePXvw6aefAvA+D48//ji++uorOJ1OfPHFF8jIyEBsbKzXMdi2bZvXMThw4ADy8vIAACEhIdi1axdWr16NXr164dNPP0VycjJ2797tN+7vv/8eTz75JCZPnowNGzZg7969mDNnDpxOp1c7uVzu99h5YqqPSqUSj0tqaiqee+45XHvttXjzzTcBABaLBePGjQPHcfjyyy+xc+dO5OTkgOM4n+vTXwye7TPGmnTe/ElMTMSRI0fw5ZdfIjY2FnPnzkXv3r0vmbgoFArccMMNmD17Nn755RfMnTsXH3/8MU6fPn3Jbda+1oHGn5e6GnONAI27xidMmIC4uDh8/fXXYiL9yCOPNLjMTTfdhJiYGCxfvhwulwvffPMNHnjgAXF+amoq8vPz8f7770Mul2PGjBlITU2F0Wi8ZDx1NfRe1BauK3/L1r651DPP37T6fq8a+x7F87zY1qPutSMIAu6//36f9+tjx46JZT6nTZuGM2fO4PHHH0dxcTEmTJiAKVOmAKj+A+vHH3/E5s2bkZaWhpUrV6JXr15Yv359g7E1dLwbs2+k86LknnQ4/fv3x5YtW7ymbdmyBRzHoV+/fgCq3zTdbrdXm5ycHFitVnzwwQe46qqr0Lt3b7GX5HI9/PDDsFgsWLx4MQBg2LBhOHXqFEJDQ8WEzvPPU3qxX79+yMnJ8Yrzr7/+uuS24uLikJSUhKNHj/qsOzk5WexN9HcM/PF3PH///XeoVCr06NGj0cegPp6ymBaLBQCwdetWREdH44033sCIESPQq1cvv7Xm//a3v8Fms+Gzzz7DDz/84JVMDR06FED1H2x1979nz55iO4lEgmuvvRavv/46du/ejS5duuC///2v3zh///13DB48GLNmzcLQoUORkpLSqGT0ckilUvG4HD58GKWlpXjzzTdx/fXXo2/fvtDr9T6JyaX0798fpaWlYo8jAJSVleHYsWMNLlff9aJQKDB+/Hi8++672L9/PywWC7KysgKKqW/fvgCqv3VqaFv+NOa8+FtfY66Rfv36obS01OvbLr1e73OseJ7Hww8/jM8//xyff/45Ro8eLfbA10cikeDee+/FsmXLsHHjRlRUVOCee+7xahMSEoI77rgDixYtwq5du3D48GGf38VA1X0vas3rynNMavdqA8Aff/xxyeMVqLCwMCQkJPi8Z9YtAxobG4uSkhKv62PPnj1ebYYNG4a8vDz07NnT51qJiIgQ23Xp0gXTpk3DsmXLsGTJEixfvlz8Y4zjOAwfPhwvvvgifv/9d4wZMwZLly5t8v419toknRMl96TD+ec//4k9e/Zg1qxZOHLkCH766Sf84x//wH333Sd+3dy9e3ccOXIEBw8eRFlZGex2O1JSUsBxHObPn4/8/HxkZWXh9ddfb5aYpFIpnnnmGcybNw9GoxH33XcfunfvjltuuQUbN27E6dOnxVrxnsToiSeewIULF/D3v/8dhw8fxq+//oqXXnoJwKV7bN58800sWrQIb7zxBg4cOICjR48iKysLjz32mNime/fu2L17N06ePImysrJ6ezpnz56NlStX4u2338axY8fw3Xff4dVXX8Wzzz7r07PUGCaTCefPn8f58+dx8OBBPPHEE7BYLLjtttsAAL1790ZpaSmWLFmCU6dOYdmyZfj444991qPRaDBlyhQ8++yzuOKKK5Ceni7OS05OxkMPPYRHHnkEX3/9NU6cOIF9+/bhyy+/xDvvvAMAWLNmDTIzM7F7926cPXsWWVlZKCgoEP8ArKt3797Yv38/1qxZg5MnT2LhwoVYtWpVwPtfH8+wo/Pnz+PkyZP4+OOP8fPPP+OOO+4AAHTt2hUKhQIffvghTp48iU2bNmHGjBkB996NHTsWgwYNwpQpU7Bz507k5ubivvvu8xqm4Y+/62XJkiX4/PPPsW/fPpw5cwbLly9HVVVVvcewvLwc1113Hf7zn/8gNzcXp0+fxvr16zF79mx0795dHIbQ2GsTaNx56d69O86fP4+//voLZWVlsFgsjbpG0tPTMWjQIDzwwAPIycnBvn37cP/990Mqlfoc9+nTp+PIkSP44osv8Oijj17qNAAApk6diry8PLz00kuYMGGC13Cu9957D8uXL8fBgweRn5+PL7/8EhKJRBz2snr1avTp08drOFtj1H0vas3rqmfPnrjrrrvwxBNP4Oeff8aRI0cwY8YMHDhwAP/85z8D2l5jPPvss/jggw+wfPlyHD9+HB988AE2btzotW/XX389LBYLXn75ZZw8eRLff/89PvroI6/1vPjiizh8+LC4b/n5+fj1118xY8YMnDp1CgDw1FNPYcOGDTh58iQOHjyIVatWicM7t23bhrlz52LHjh04e/YsNm3ahLy8vHp/TxojkGuTdELBGepPSPO5VCnM6Oho9vjjj3tV5ygvLxcrC6BWKczFixcznU7HlEolu+qqq8QbWD1l/5paCpOx6io9ERER4g1eZWVl7PHHH2cJCQlMJpOxhIQElpGRIZZHY6z6JrX+/fszuVzOBg4cKMbz//7f/7tkPKtXr2YjR45kKpWKabVaNmjQIPbaa6+J80+ePMmuueYa8Ua7S5XC7NOnjxjniy++6HVDXiA31KJWScLw8HA2evRotmbNGq92//rXv1hsbCxTq9VswoQJ7L///a/fG9Jyc3MZAPbWW2/5bMvlcrF33nmH9e7dm8lkMhYVFcWuvfZa9t133zHGqm8wvv7668WSfMnJyWzevHniDYx1b6h1OBzs0UcfZREREUyr1bJ77rmHffjhh16lPxtbVq+uuuUfVSoV69evH3vvvffEm4gZY+z7779nycnJTKFQsNTUVPbbb78xiUQiXr/1XQ89e/b0utkvPz9fLKGXmJjIPvjggwZLYTLm/3pZuXIlGzVqFAsPD2cqlYr1799frDTjj81mY7Nnz2ZpaWksIiJCLBn42GOPsbNnzza4rfr2rTHnxeFwsHvuuYdFRER4lcK81DXCWPWNt+np6UyhUDCdTscWL17M0tLS2FNPPeWzfxkZGSwsLKzeakH+pKamev1Oe3z66adsyJAhTKvVMo1Gw4YNG8aysrLE+Z6bZRu6rhr7XtSa15XBYBBLYcrl8npLYdbeVkFBgc97VHFxMQPAfvnll3r33+12sxdeeIFFRUWJpTDffPNNFhIS4tVuyZIlrHv37kypVLLx48ezb775xufY5uXlsdtuu42Fh4czpVLJevbsyR555BFWXl7OGGPsiSeeYCkpKUypVLLIyEh28803izdHHzhwgE2YMIHFxcUxuVzOrrjiCva///u/PtWI6t5Qe6njHci1SToXjrEAv3sjhASN5+vcvLy8Jo2d72g2bNiAjIwMnD17VrzBjpCWVFVVBZ1OhzfeeAP/+Mc/vOYNHz4cI0aMwIcffhik6MilPPTQQ9i3b1+999a0Zw1dm6Rzafh7WEJIUH3yyScYNGgQEhIScOjQIcycORMjRozo9Im9xWLB2bNn8frrr+Pee++lxJ60mLVr10IqlaJv374oKSnBa6+9Bo7jcPfdd4ttSkpKsGbNGuzZswfffPNNEKMltRUVFWH16tW4/vrrIZFIsG7dOixbtky836C9a8y1STonSu4JacPOnDmDefPm4cKFC4iPj8eNN94ojgfuzN5991288cYbGD58ON59991gh0M6MIvFgtdffx2nT5+GRqPB0KFDsXXrVsTFxYlt4uLiEBERgYULF3rdsE2CSyKR4Pvvv8fLL78Mm82G5ORkfPLJJ5esZNReNObaJJ0TDcshhBBCCCGkg6BqOYQQQgghhHQQlNwTQgghhBDSQVByTwghhBBCSAfRoW+oLSoqCtq2o6OjUVZWFrTtk+Chc9950bnvvOjcd0503juvYJ97z9Ps/aGee0IIIYQQQjoISu4JIYQQQgjpICi5J4QQQgghpIPo0GPu62KMwWazQRAEcBzXotu6cOEC7HZ7i26DtE0XLlyAw+GAUqls8euMEEIIIaS2TpXc22w2yGQySKUtv9tSqRQSiaTFt0PaHqlUKv4hqVKpgh0OIYQQQjqRTjUsRxCEVknsCZFKpRAEIdhhEEIIIaST6VTJPQ2RIK2JrjdCCCGEtLZOldwTQgghhBDSkVFyTy7biBEjUFFRAQC47bbbAADbtm3DAw88cMn2l2v+/Pn49NNPA1rGEyMhhBBCSKA4wQaUbQfnMgU7FL9oAHoHxhgDYww8H/jfcC6Xq0n3J6xduzbgZVpbe4iREEIIIW0IY5BZT0Bt2A655Rg45oIy5jZYw0YFOzIflNy3soKCAkydOhWbN28GAHz66acwm83466+/0K9fP+Tm5sJkMmH+/PkYPHgw5s+fj9OnT+P8+fMoKirCE088gfvuuw8A8Mknn2DdunVwOBwYP348/vd//xcFBQWYMmUKRo8ejd27d+PLL7+ETqfziePXX3/F22+/DbfbjcjISHz33XeYP38+Lly4gIKCAkRGRuL111/HCy+8gHPnzgEAXnvtNaSlpaGiogJPPvkkysvLkZqaCsaYuN6UlBQcP34cAGAymTB9+nScPHkSI0aMwLx583z+0Fi5ciW+/PJLOBwODB48GPPmzau3ypC/mAHg2LFjuPPOO3Hu3Dk8/PDDmD59OgDgs88+w4oVKwAA99xzDx555BGfGD/++GOsXLkSHMfhhhtuwIsvvojTp0/jpZdeQnl5OVQqFd577z0kJyc34WwTQgghpF0TnFCa9kNl+BMye5HXLEXVfkru2xL3Iy03NEPyedN6hq1WK9auXYvt27fj2WefFf8AOHz4MNatWwer1Ypx48Zh7NixOHr0KPLz8/HDDz+AMYYHH3wQ27dvR2JiIk6ePIkFCxZg3rx5frdTXl6Of/7zn1i1ahWuuOIK6PV6cV5eXh5Wr14NlUqFJ598Eo888giGDx+Oc+fO4d5778WWLVuQmZmJ4cOHY+bMmcjOzsby5cv9bic3Nxe//vordDod7rvvPmzYsAETJ04U5x8/fhxr165FVlYWZDIZZs+ejVWrVuGuu+4KKOYTJ07g+++/h9lsxjXXXIMHHngAhw8fxnfffYf169eDMYaJEydi1KhRGDBggLjc5s2b8dNPP2H9+vVQqVTiOp977jm8/fbb6NGjB/bs2YPZs2fj+++/D+BMEkIIIaQ9450VUFdug9KUC95t9pnP1ElwqHoDjAFtrIBGp03u26Lbb78dADBy5EhUVVXBYDAAAG666SaoVCqoVCqMHj0aubm52LlzJ7Zs2YJx48YBACwWC/Lz85GYmAidToehQ4fWu53du3dj5MiRuOKKKwAAERER4rxx48aJtdn/+OMPHDt2TJxnMplgMpmwfft2fPHFFwCA9PR0hIeH+91OamoqunbtCgDIyMjAzp07vZL7rVu3Yv/+/bj55psBVD+HIDo6OuCYx44dC4VCAYVCgejoaJSWlmLnzp0YP3481Go1AGDChAnYsWOHV3L/xx9/YPLkyeL+RkREwGw2Y/fu3XjsscfEdg6Ho95jSQghhJCOgXNbIbccgcJ0EArzYXDwLmnNOCmsoWmwho1CREJfWMrKghRpwyi5b2USicSr/rnNZhN/rls60fPa33TGGJ566incf//9XvMKCgrEhLYh9ZVprL2sIAhYu3at3wcxNabMY33748EYw1133YXZs2dfcl0NbVOhUIg/SyQSuN1ur6FC9WGM+axTEASEhobil19+aVRMhBBCCGnHmBsy2xmoDDuhMB8Ex1w+TdzSMFhDR8AamgYmDQlCkIHptMl9U4fOXK6YmBiUlZWhoqICGo0G2dnZuP766wFU3+h51VVXYefOnQgNDUVoaCgA4Oeff8ZTTz0Fi8WCv/76Cy+++CKUSiXee+89TJo0CRqNBsXFxZDJZI2KYejQoXjxxRdx9uxZcYhL7Z5wjzFjxuCrr77C3//+dwDAgQMHMGDAAIwcORKrVq3CM888g82bN6OystLvdnJzc3H27FnodDqsXbtWvFfA4+qrr8a0adPwyCOPIDo6Gnq9Hmaz2e89Ao2N2WPkyJGYOXMmnnrqKTDG8NNPP2HRokU++5eZmYk77rhDHJYTERGBpKQkrFu3DrfeeisYYzh06BD69+9/qcNKCCGEkPZAcEJuPQ5l1X7ILcfACxa/zRzK7rBEXgeHKhng2k+ByU6b3AeLTCbDzJkzceuttyIpKcnrRs3w8HDcdttt4g21HoMHD8YDDzyAc+fO4ZlnnkF8fDzi4+Nx/PhxsayjWq3Ghx9+WO/NqLVFRUXh3XffxcMPPwxBEBAdHY1vv/3Wp93cuXPx4osvIj09HS6XCyNGjMA777yDmTNn4sknn8RNN92EkSNHIjEx0e92hgwZgrfeegtHjhzBiBEjMGHCBK/5vXr1wnPPPYd77rkHjDFIpVK8+eabfpP7xsbsMXDgQNx111245ZZbAFTfUFt7SA4AXH/99Th48CAmTJgAmUyGG264AbNnz8bixYsxe/ZsLFy4EC6XC7fffjsl94QQQkg7xzsrodb/BqUpD7xg9dvGKe8Ce8iVsIf0hVse18oRNg+ONWb8QjtVVOR9V7PFYmnUkJXmIJVK4XL5frVTnzvvvBMvv/wyBg0a5DV9/vz50Gg0ePzxx5s7RNJCPOe+Na830jZER0ejrI2OwSQti85950TnvR1gLijMh6E07obcctxnHD0AuCWhcGj6wBqaBpcisVE3yAb73CckJNQ7j3ruCSGEEEJIh8K7DFAad0Fl2AGJu8pnvlsaDlvIINhDBsKl6NKuht1cCiX3bcT/+3//z+/0Z5999rLWO3HiRNjtdq9pixYtQt++fS9rvS2pPcZMCCGEkCBjbsjNR6E2bIPMegocfAenOFQ9YI64Hk5VzzZXwrK5UHLfwa1fvz7YIQSsPcZMCCGEkCBgbsisp6Cs2geF+SB4webTxC3RwhaaBlvoELhlUUEIsnVRck8IIYQQQtoPxiC1F0JlzIHCtN9vQs/AwanqCWvoUNhDBgBc50l5O8+eEkIIIYSQ9okJkFlPQmE+BIXpECRuo99mbkkobNrBsIaNhCALb90Y24igJPdFRUXIzMwUX5eUlODuu+8W646XlpYiJiYGM2fOREhI9cMCVq9ejc2bN4PneUybNg2pqanBCJ0QQgghhLQWwQlV1W6oKrdB6iz128QtDYdd0w827SC4FEkddix9YwUluU9ISMB7770HoPqJoI899hiGDx+OrKwsDBw4EBkZGcjKykJWVhamTJmCwsJCbNu2DQsWLIBer8fcuXOxcOFC8HzHubOZEEIIIYQAYALkluNQGnOgsBz1+9RYgVfBrukLW+gwOJXdOn1CX1vQs+P9+/cjPj4eMTExyMnJwZgxYwBUPz00JycHAJCTk4PRo0dDJpMhNjYW8fHxOHHiRDDDbrKCggLccMMNrbrNjRs3YvHixc22vpbchzvvvBP79u0DANx///0wGAwwGAz46quvLnt9jbFv3z68/PLLTdoWIYQQQi6D4ITSmIPIsx8gvPgrKM0HvRJ7gZPDEjYK+oRHUNb9JVTF3QWnqjsl9nUEfcz9n3/+iauuugoAYDAYEBERAQCIiIiA0Vg9nqqiogIpKSniMpGRkaioqGj9YNupcePGYdy4ccEOI2Bff/01gOo/JpYtW4YHH3ywxbc5aNAgnweJEUIIIaTlSG3noKzaC2XVXvCCxWe+SxYFa9hI2ELTwHhFECJsX4Ka3LtcLuzevRv33ntvg+0a+xDd7OxsZGdnAwDefvttREdHe82/cOECpNLqXb7lPweaEHHj/DB1AACI26pNIpHA7XZj5syZ2L9/P3r27IkPP/wQn3zyCTZu3Air1Yq0tDS8//77OHPmDB5++GFxn06dOoXHHnsMv/zyC/bt24dXXnkFZrMZkZGRWLRoEeLi4vD5559j2bJlkEgk6NWrF/7973/j22+/xb59+zBv3jz8/PPPyMzMhNPpREREBD7++GPExsbivffeQ2FhIc6ePYvCwkI8+uijeOSRR/zuX337oFarMX/+fJ/94DgOd9xxB4YMGYKtW7fCaDQiMzMTI0eOhNVqxYwZM3Ds2DGkpKTAZrNBIpFAKpVi2LBh+PnnnzFv3jycOXMG48aNw5gxY/DKK6/4jWvx4sX4/vvvwfM8brjhBrz88svgOA4bNmzAiy++6LVdm82G559/Hrm5uZBKpXjttddw9dVX488//8THH3+M5cuXw2w248UXX0Rubi44jsP//u//YuLEifjtt9/w7rvvwuFwoFu3bli4cCE0Go1XLFKpFAqFwucaJB2bVCqlc95J0bnvnOi8Xwa3DdDngjv/GzjTSZ/ZTKICYq4Ci70KvCoRGo6Dxs9qgqUtn/ugJvd79+5F9+7dER4eDgAICwuDXq9HREQE9Ho9QkNDAQBRUVEoLy8Xl6uoqEBkZKTP+tLT05Geni6+rvtYYLvdDolE0gJ74s3lckEqlcLl8h0j5na7ceLECbz//vtIS0vDrFmz8OWXX+KBBx7AjBkzAAD/+Mc/8OOPP2LcuHEICQlBbm4uBgwYgOXLl+Ouu+6C1WrF7NmzsXTpUkRFRWHNmjV48803sWDBAnz44Yf466+/oFAoYDAY4HK54Ha7IQgCXC4Xhg4dinXr1oHjOPz3v//Fhx9+iFdeeQWCIOD48eP4/vvvYTabcc0112DKlCmQyWSN3ofHH3+83v1gjMHhcOCHH37Apk2b8N5772HFihX48ssvoVQqkZ2djUOHDmH8+PFwu91wuVxgjMHtdmP27Nk4cuQINm7cKB7fujZv3owNGzZg/fr1UKlU0Ov14jr8bfeLL76AIAjYtGkTTpw4gXvuuQd//PEH3G43GGNwuVx4//33odFosGnTJgBAZWUlSkpKsGDBAnz77bdQq9X46KOP8PHHH2PmzJliLJ5zb7fb6bHknUywH0dOgofOfedE5z1AjEFmPQGVcRcU5kN+x9K7peGwho2CNTStOsG3ALCU+64ryIJ97hMSEuqdF9TkvvaQHAAYNmwYtmzZgoyMDGzZsgVpaWni9EWLFmHixInQ6/UoLi5GcnJysMK+bAkJCeK+TZo0CV9++SWSkpLwySefwGq1orKyEr1798a4ceNw77334rvvvkPfvn2xbt06rF+/HidPnsTRo0fxt7/9DUD1TcmxsbEAgL59++Kpp57C+PHjMX78eJ9tFxcX4+9//ztKSkrgcDhwxRVXiPPGjh0LhUIh9jiXlpbWe/H424fHH38c27Zt87sfAHDzzTcDAK688koUFhYCAHbs2IGHHnoIANCvX78mP4X2jz/+wOTJk6FSqQBAHN5V33ZzcnIwbdo0AEBycjJ0Oh1OnTrls86PP/5YfB0eHo5ffvkFx44dw+233w4AcDqdGDp0aJNiJoQQQjoDiaMEyqq9UJgPQ+q44DOfgYc9ZCBs2sFwqJMBruU7YjuyoCX3drsdeXl5ePTRR8VpGRkZyMzMxObNmxEdHY1Zs2YBAJKSkjBq1CjMmjULPM9j+vTpl10pZ819fS5r+cvB1bnxg+M4vPjii9iwYQMSExMxf/582O12ANWJ6YIFC3DVVVdh4MCBiIyMxIULF9CrVy+sW7fOZ93Lli3D9u3bsXHjRnzwwQf49ddfvea//PLLePTRRzFu3DixApGHQnFxHJtn6E0g+2Cz2erdDwCQy+Xiumv3vtddV1Mwxupdj7/tNmaol791MsZw7bXXeiX9hBBCCPHGCTYoqvKgMuZAZi/028Ylj4ctZCBsoWkQpNpWjrDjClq1HIVCgS+//BJqtVqcptVqMWfOHCxatAhz5swRa9wD1b3DH374IRYuXIjBgwcHI+Rmc+7cOezatQsAsGbNGrEHPDIyEmazGT/88IPYVqlU4rrrrsPs2bMxefJkAEDPnj1RUVEhrsPpdOLo0aMQBAFFRUW46qqr8K9//QtGoxFms9lr20ajEfHx8QCA77//vln3wZPI+9uP+owYMQKrV68GABw5cgSHDx/2aaPRaGAymRpcz5gxY/Dtt9/CarUCAPR6faO3e/LkSZw7dw49e/b0WefSpUvF15WVlRg6dChycnKQn58PALBarTh50nesICGEENIZSW3nEHphBaLz30Jo6WqfxN5T8aY86WlUXDEDlsgbKLFvZkGvltMZpaSk4Pvvv8cLL7yA7t27Y+rUqTAYDEhPT4dOp/Op1nLHHXfgxx9/FMuEyuVyfPbZZ5gzZw6MRiPcbjcefvhh9OjRA//4xz9QVVUFxhgeeeQRhIWFea3r2WefxWOPPYb4+HgMGTIEBQUFzbYPKpUK9957b7374c8DDzyAWbNmIT09Hf369fP7cLLIyEikpaXhhhtuwPXXX++3VOX111+PgwcPYsKECZDJZLjhhhswe/bserc7depUvPDCCxg7diwkEgkyMzO9vrkAgBkzZuDFF1/EDTfcAJ7nMWvWLNx8883IzMzEk08+CYfDAQB47rnnfP4wIIQQQjoL3lkJhfkQlFW5kNl98woGCRya3rBr+sOu6QMmUftZC2kuHGtsKZp2qKioyOu1xWLx+qagJdV3Q21TfPrppzAajXjuueeaZX2kZXnOfWteb6RtCPYNViR46Nx3Tp35vEscpVAad0NhOQqp47zfNi55HKyhabBpU8EkbanWzeUL9rlvszfUkkubPn06zpw5g++++y7YoRBCCCGkM2MC5JZjUBm2Q2E56r9Jzc2xlvBr4FIk0AOmgoCS+zZuyZIlQdt2RUWFOM6/thUrVvgtRdoaDh8+jKefftprmkKhwPr164MSDyGEENLRcW4blKZcqCq3Qeos9ZnPIIFT1R12TT/YtFd2uF769oaSe1KvyMhI/PLLL8EOw0vfvn3bXEyEEEJIR8MJNsgsJyG3noCyKhe8YPOaz8DBoe4Da+hQONXJ9OTYNoSSe0IIIYQQAk6wQ2Y5AYX5MJSmPHDM6dNG4BWwhQ6HNXQ43PK2+YTWzo6Se0IIIYSQTkziKIHKmAOlYSd45vDbxiWLgjVsNGzaIWASZStHSAJByT0hhBBCSGfDGGTWU1BXboHCctxvE5c8DnZ1bzjUveBUdQe4oD0eiQSAkntCCCGEkE6Cd+qhrMqFypgDicv3gY8uWTTsIQNgV/eBS3kFVbtphyi5b8O2bduGTz/9FMuWLWtU+5SUFBw/7v+vb0IIIYR0ThL7BSir9kBuPQGZvchnPgNXXekmNA0OdQr10LdzlNwTQgghhHQ0ghNKUy6Uxr2Q2/L9N+GVsIdcCUv4VXDLY1s5QNJSOm1yv25FZYut+9bJ4fXOKygowNSpU7F582YA1U+fNZvNmDRpEl544QWUl5dDIpHgs88+AwCYTCZMnz4dJ0+exIgRIzBv3jzwfP1/Ub/22mvYtm0bwsLC8MknnyAqKgrLly/H8uXL4XA40L17dyxatAhutxvp6en4448/IJPJUFVVhfT0dGzduhXnzp3DSy+9hPLycqhUKrz33ntITk7GunXrkJmZCZ7nERoailWrVjXrcSOEEELIZWACZLazUJjyoKzaA16w+zaBBA51T9i0qbBrBgC8LAiBkpZE37u0Ef/4xz/w4IMPIjs7G2vWrEFcXBwAIDc3F3PmzMGmTZtw5swZbNiwod51WCwWDBw4ED///DNGjRqFBQsWAAAmTJiADRs2IDs7G8nJyfjmm28QEhKCUaNGYdOmTQCANWvW4Oabb4ZMJsNzzz2HuXPn4qeffsLLL7+M2bNnAwA++OADLF++HNnZ2Vi6dGkLHxFCCCGENAbntkCt34LIswsQce4zqA1/eSX2DBxsmv6ojL8fZd1nw5AwDXbtYErsO6hO23PflphMJhQXF2PChAkAAKXyYomp1NRUdO3aFQCQkZGBnTt3YuLEiX7Xw/M8brvtNgDApEmT8PDDDwMAjh49infffRdGoxFmsxljxowBANx77734+OOPMX78eKxYsQLvvfcezGYzdu/ejccee0xcr8NRXRZr2LBhmDlzJm699VYxVkIIIYQEh8RRBpXhT6iMu/3WpHfJImELHQGbdhAEaVgQIiTB0GmT+4aGzrQkiUQCQRDE1zabDYyxettzde5Sr/u6IZ62M2fOxJIlS9C/f3+sWLECf/31FwAgLS0NBQUF+OuvvyAIAvr06YOqqiqEhob6fQrsO++8gz179mDTpk0YN24cNm7ciMjIyEbHQwghhJDLJDihMB+AyrATcttp39k14+htIQPhVPWgm2M7ITrjrSwmJgZlZWWoqKiA3W5HdnY2tFotunTpgp9++gkAYLfbYbVaAVQPyzl79iwEQcDatWsxfPjwetctCAJ++OEHAMDq1avFtiaTCXFxcXA6nVi9erXXMnfeeSeefPJJ3H333QAArVaLpKQkrFu3DgDAGMPBgwcBAKdPn8aQIUPwz3/+E5GRkSgq8r3jnhBCCCHNj3cZEFK6BtH5byDswnc+ib1T3gXG2DtR1m02qmLvgFOdTIl9J9Vpe+6DRSaTiUNbkpKSkJycDABYtGgRnn/+ebz//vuQSqXiDbVDhgzBW2+9hSNHjmDEiBENDodRq9U4evQoxo8fD61Wi08//RQA8M9//hMTJ06ETqdDnz59YDKZxGUmTZqE9957DxkZGeK0xYsXY/bs2Vi4cCFcLhduv/129O/fH2+88Qby8/PBGMPVV1+N/v37t8ARIoQQQggAgAmQm49AZdwBueUEOAjes8HDoe4FS/hVcKp6Uk16AgDgWENjQtq5uj3LFosFarW6VbYtlUrhcrlaZVuXY/369fj555/x4YcfBjuUDsNz7lvzeiNtQ3R0NMrKyoIdBgkCOvedU4ucd8YgtRdAadwDhfkQJO4qnyYuWSRs2iGwaYdCkIU37/ZJowT7dz4hIaHeedRz34n961//wq+//troh2QRQgghpIUIDihN+6Ey/AWZ/ZzfJg5lN1giroVD3Yd66Um9KLlvhyZOnAi73bt27aJFi9C3b9+A1vPGG280Z1iEEEIICZDEcQHqyj+hMOX5rUsv8CpYQ4fBGjYSgoyKWJBLo+S+HVq/fn2wQyCEEEJIUzEBcstRqAx/QWE57jubk8IWMgg2bSpVvCEBo+SeEEIIIaQ1MAHKqr3QVGyCxKX3me2SRcEWmgZr6DAwiSYIAZKOgJJ7QgghhJAWxAl2yM2HoTb8BZntrNc8Bg4OTR9Ywq+BU9mNxtKTy0bJPSGEEEJIc2MuKMxHoKjKhcJyFBzzrqAn8ErYQtNgCRsFQRYRpCBJRxS05N5sNuPTTz9FQUEBOI7D3//+dyQkJCAzMxOlpaWIiYnBzJkzERISAqD6oUybN28Gz/OYNm0aUlNTgxU6IYQQQohfvLMCKsNOKE25kLgMPvMZJLBEXANLxHVgvKL1AyQdXtCS+6VLlyI1NRXPPvssXC4X7HY7Vq9ejYEDByIjIwNZWVnIysrClClTUFhYiG3btmHBggXQ6/WYO3cuFi5cCJ6nG0wIIYQQEmTMDbn5aM3Dpo6Dg+8jhJzyeNhDBsKmHUw99aRFBSU7tlgsOHz4MG644QYA1Q/90Wg0yMnJwZgxYwAAY8aMQU5ODgAgJycHo0ePhkwmQ2xsLOLj43HixIlghE4IIYQQUs1ZBU35L4g6/S7Cz38NheWYV2Iv8GqYI65H+RUzob9iBiyRN1BiT1pcUHruS0pKEBoaio8//hhnzpxBjx498OCDD8JgMCAiovqij4iIgNFoBABUVFQgJSVFXD4yMhIVFRWXFcOiRYsua/mGPP300/XOKygowH333Yfhw4djz5496NevH+6++27Mnz8fZWVlWLx4MQDglVdegc1mg1KpxIIFC5CcnIzPPvsMR48exYIFC3D48GE8+eST+OGHH6BSqXy2M3/+fJw9exYlJSU4deoUXnnlFezZswe//vor4uPj8dVXX0EmkyEvLw+vvfYazGYzIiMjkZmZibi4OCxfvhzLly+Hw+FA9+7dsWjRIqhUKjzzzDPQarXYt28fSktL8dJLL2HixIktdiwJIYSQtoRzm6AwH4bCdBDcyRPQMLdPG7sqBdawkXBoegEc3d5IWldQrji32438/Hw89NBDSElJwdKlS5GVlVVve8Z8v97yJzs7G9nZ2QCAt99+G9HR0V7zL1y4AKm05XfZsw1/25JIJDh9+jS++OIL9OnTBzfddBPWrFmD9evX46effsLixYuxePFirF27FlKpFFu2bMG7776LL7/8En//+99xxx13YOPGjfjggw/w/vvvQ6vV+o2B53mcPXsWq1atwrFjx3DLLbdgyZIlePXVV/Hggw/i119/xY033oiXX34Z//nPfxAdHY2srCy8++67WLhwIW699VZMnToVADBv3jysWLECDz/8MHieR2lpKdavX4/jx4/jgQceQEZGRosdy/ZKKpVCoVD4XIOkY5NKpXTOOyk69x0cY4DpFLgLvwHlOeD8JPRMpgVirgaLvRoyZSxkrR8laUVt+Xc+KMl9VFQUoqKixN74kSNHIisrC2FhYdDr9YiIiIBer0doaKjYvry8XFy+oqICkZG+T2lLT09Henq6+LqsrMxrvt1uh0QiaYld8uJyuSCVSuFyuXzmud1uJCUloVevXhAEASkpKbjqqqvgdrvRq1cvnD17FhUVFZgzZw7y8/PBcRycTqe4rgULFiA9PR1TpkzBkCFD/G4DAARBwHXXXQeO45CSkgK3241rr70WLpcLvXv3xpkzZ3D06FEcOXIEd911l7hMbGwsXC4XDh48iHfffRdGoxFmsxljxoyBy+WCIAgYN24cBEFAz549UVpaWm8MnZXn3Nvtdp9rkHRs0dHRdM47KTr3HZPEUQalcReUpv2QuPyPGHAqdLCEXwN7SH+AkwAmACa6Fjq6YP/OJyQk1DsvKMl9eHg4oqKiUFRUhISEBOzfvx86nQ46nQ5btmxBRkYGtmzZgrS0NADAsGHDsGjRIkycOBF6vR7FxcVITk6+rBgaGjrT0hSKi3fH8zwPuVwu/ux2u/Hee+9h9OjRWLJkCQoKCnDnnXeK7fPz86HRaHDhwoVGb4fneUilUnA1tXM922GMoVevXli3bp3PsjNnzsSSJUvQv39/rFixAn/99Zc4zxMv0PhvVQghhJD2QOIoqR52Yz7kU5Pew6lIgkOdAtUV10NvpmE3pG0J2hX50EMPYdGiRXC5XIiNjcUTTzwBxhgyMzOxefNmREdHY9asWQCApKQkjBo1CrNmzQLP85g+fXqHrpRTVVWF+Ph4AMB3330nTjcajZgzZw5WrlyJf/3rX1i/fv1ljXfv2bMnKioqsGvXLgwbNgxOpxOnTp1C7969YTKZEBcXB6fTidWrV4vxEEIIIR0N57ZAWbUXyqo9kNmL/LYReCXsIQNgDR0OlzIJAKBSRQNm6qUnbUvQkvtu3brh7bff9pk+Z84cv+0nTZqESZMmtXRYbcLf//53PPPMM/j3v/+Nq666Spz+6quvYurUqejZsyfef/993H333Rg5cmSTx3zJ5XJ89tlnmDNnDoxGI9xuNx5++GH07t0b//znPzFx4kTodDr06dMHJpOpuXaPEEIICT4mQG45AaVxp9+HTAEAAw+HuhesoWlwqFMAnkbSk7aPYx14XEVRkfdf3xaLBWq1ulW2Xd+Ye9Lxec59a15vpG0I9hhMEjx07tsPTrBDadgJtWEbJK5Kn/kMPOyavnBo+sKu6QMm0dS7LjrvnVewz32bG3NPCCGEENJaOLcVcsvxmrH0B8Exp08bpyIRNu1Q2LSDwCTUMUPaL0ru27kVK1bgiy++8JqWlpaGt956K0gREUIIIW0Ac0NhPgSVYQdk1nxwEHyaCLwKNu0QWMOGwy2PDUKQhDQ/Su7bucmTJ2Py5MnBDoMQQghpE6T2IiiNOVBW7QcvmP22ccliYQ0fCat2GI2jJx0OJfeEEEIIadc4wQaF6SCUxhzIbWd85jNwcCkSYdf0hkPdFy5FAlBTHpqQjoaSe0IIIYS0S7yzEmrDn1AadoJnDp/5bmkYbNqhsIYNhyANC0KEhLQ+Su4JIYQQ0q5I7cVQ63+HwpTnM5aeQQJ7SD9YQ0fAqeoOcB33uTiE+EPJPSGEEELaPM5trh56U7UXcttpn/kuWSxs2lTYQodQLz3p1Ci5b+dGjBiBH3/8EZGRka22zZSUFBw/frzR7ZctWwaVSoW77rqrBaMihBDS4TAGueUoVMYcyM1H/Fa8cSqSYI68Hg51b+qlJwSU3AcVYwyMMfB8x34zeuCBB4IdAiGEkHaEd1VBWbUHClMeZPYin/kMPOwhA2AJvxouZVIQIiSk7eq0yX3sidkttu6S5Hn1zisoKMCUKVMwevRo7N69G/3798eRI0dgs9lwyy234H//938BVPfI33XXXfjll1/gcrnw2WefITk5GRUVFXjyySdRXl6O1NRU1H7A8GeffYYVK1YAAO655x488sgjKCgowH333Yfhw4djz5496NevH+6++27Mnz8fZWVlWLx4MQYPHuw3VrPZjH/961/Iy8sDx3GYOXMmbrnlFgDA22+/jezsbCiVSixduhQxMTEoLCzErFmzUFFRgcjISGRmZiIxMRHz58+HRqPB448/jvz8fLzwwgsoLy+HRCLBZ599hm7duuGTTz7BunXr4HA4MH78ePE4EEII6Rw4wQ65+RBUxt2QWU+BA/Np41ToYNMOgj3kSgjS0CBESUjb17G7jNuokydP4s4778TGjRsxZ84c/Pjjj8jOzsb27dtx6NAhsV1kZCR+/vln3H///fj0008BAJmZmRg+fDg2btyIcePG4dy5cwCAvLw8fPfdd1i/fj3WrVuH//73vzhw4AAA4PTp05g+fTqys7Nx4sQJZGVlISsrC3PmzMGHH35Yb5wffPABtFotNm3ahOzsbFx11VUAAIvFgiFDhiA7OxsjR47E8uXLAQAvvfQS7rzzTmRnZ2PSpEl4+eWXfdb5j3/8Aw8++CCys7OxZs0axMXFYcuWLcjPz8cPP/yAjRs3Ii8vD9u3b2+eg00IIaRNkzhKob2wEtH5byDswneQW096JfYMElhDh6E86Rnok56ENfxqSuwJaUCn7bkPJp1Oh6FDhwIA1q1bh+XLl8PtduPChQs4fvw4+vXrBwCYMGECAODKK6/Ejz/+CADYvn27+ETa9PR0hIeHAwB27tyJ8ePHQ61Wi8vu2LED48aNQ1JSEvr27QsA6NWrF66++mpwHIc+ffqgoKCg3jj/+OMPfPzxx+Jrz7bkcjluvPFGAMDAgQPxxx9/AAB2794txvY///M/eOONN7zWZzKZUFxcLO6XUqkEAGzZsgVbtmzBuHHjAFT/8ZCfn4+RI0c2/qASQghpP5gbCvNhKI17ILcc8emlZ+DgVHaDLXQI7Jr+YBJVkAIlpP3ptMl9Q0NnWponAT979iw+++wz/PDDDwgPD8czzzwDm80mtlMoFAAAiUQCt9stTuf8PHij9vCcujzrAQCe5yGXy8Wfa6/X3zr9bUsqlYrTJRIJXC6X3+XrLltfjIwxPPXUU7j//vvrjYUQQkj7x7uMUBpzoDLmQOIy+Mx3yeNgCxkEm3YwBFl46wdISAcQ0LCcAwcOoKSkBACg1+uxePFifPzxx6isrGyJ2Dq8qqoqqFQqhIaGorS0FL/++usllxk5ciRWrVoFANi8ebN47EeOHImff/4ZVqsVFosFP/30E0aMGHFZ8Y0ZMwZLly4VX1/qPA8bNgxr1qwBAKxatQrDhw/3mq/VatGlSxf89NNPAAC73Q6r1YrrrrsOK1asgNlc/Zjw4uJilJWVXVbshBBC2ggmQGbNh7ZkNaJOv4uQimyfxN6u7g194mOouOIZWCKvp8SekMsQUHK/ZMkSsbLLsmXL4Ha7wXEcPvvssxYJrqPr378/BgwYgOuvvx6zZs1CWlraJZeZOXMmduzYgZtuuglbtmxBYmIigOrhMXfddRduueUWTJw4Effccw8GDBhwWfHNmDEDBoMBN9xwA9LT07Ft27YG28+dOxcrVqxAeno6Vq5ciddff92nzaJFi7BkyRKkp6fj9ttvR0lJCcaMGYOMjAzcdtttGDt2LB599FGYTKbLip0QQkgQMQaJ/Tw05RsRdeZdRJz7N1TGneBw8dtiQaKBOeJ6lF8xC4aEB+FUdQtevIR0IBxraDxHHVOnTsV//vMfuN1uPPLII/j4448hlUrx2GOPYcmSJS0ZZ5MUFXmXz7JYLOKQmJYmlUrrHa5COjbPuW/N6420DdHR0fStUydF574GE6AwH4K6YhNkjvN+mzgVSbCEj4Zd0x/gZa0cYPOi8955BfvcJyQk1DsvoDH3KpUKlZWVKCgogE6ng1KphMvloiSWEEII6cQkjhIojXugrNoLidvoM1+QaGDX9IMtJBVOVXfAz/1chJDmEVByP378eMyePRsulwsPPvggAODIkSPi0BDSPq1YsUKscuORlpaGt956K0gREUIIafMEJ+TWE1BXboPcesJnNuNksGv6wh4yEHZNH4DrtDU8CGlVAQ3LAaqHuvA8j/j4ePG1y+XCFVdc0SIBXg4alkOCgYbldF7B/pqWBE9nOfe8ywCF+RDk5qOQW0+BY06fNoJEA5t2CMwR14FJOvZ7YGc578RXsM/9ZQ3L8TwIqa72eDEH+HcMIZeFrjdCSIfgqUlftRcK8yH/TcDBoekLa+hQONS9AU7SykESQjwumdx/8sknl1wJx3FYvHhxswTUknieh8vlglRKXw2SluVyucTKUoQQ0u4wN+SWE5BbjkNhyoPEXeW3mUsWA7umL6xhIyDIIls5SEKIP5fMcj/66KPWiKNVKJVK2Gw22O12vw9nak4KhQJ2u71Ft0HaJoVCAafTKT6BlxBC2g3mgsK0HyHlGyFxVfpt4lD1hF3TD3ZNH0roCWmDmjwsp67LraneGjiOg0rVOo+wDvZYLBI8dO4JIe2NxFEGZVUuVMYd4N2+zxlxS7SwhQ6DTTsIbnlcECIkhDRW0IblPPnkk1AqleB5HhKJBG+//TZMJhMyMzNRWlqKmJgYzJw5EyEhIQCA1atXY/PmzeB5HtOmTUNqampA2yOEEELIRZzbAmXVHihMByG3nfaZL/Bq2EIGwqHpB4e6J42jJ6SdCOqwnFdeeQWhoaHi66ysLAwcOBAZGRnIyspCVlYWpkyZgsLCQmzbtg0LFiyAXq/H3LlzsXDhQhrTTAghhASCuSGz5kNpyoOyKtdvtRu3JBS20DRYwkd3+Go3hHREbSo7zsnJwZgxYwAAY8aMQU5Ojjh99OjRkMlkiI2NRXx8PE6c8K2pSwghhBBfEkcZQkrXITr/LUQULYHKmOOV2DPwsKv7whD3N5R3ew7mqHRK7AmpgzGG0tJS7NmzB19//TXOnj0b7JD8CqhszIoVK+qdN3ny5IA3/uabbwIAbrzxRqSnp8NgMCAiIgIAEBERAaOx+il3FRUVSElJEZeLjIxERUVFwNsjhBBCOgtOsENhOgiFKQ9yyzFw8C3P65THwxo2Eg5NXwjSUD9rIaTzYozBYDCgoKAAhYWFKCgogM1mE+eHhIS0yec8BZTcl5eXe72urKzEoUOHMHz48IA3PHfuXERGRsJgMOCNN95osBh/Y+uFZ2dnIzs7GwDw9ttvIzo6OuC4motUKg3q9knw0LnvvOjcd15t6txbCsFd+B0o3QZO8K3axuThQOQQsMihkGhTENLC1eM6sjZ13kmzqKqqwqlTp8R/BoOh3rbFxcVt8vwHlNw/8cQTPtNyc3OxdevWgDccGVldPissLAxpaWk4ceIEwsLCoNfrERERAb1eL47Hj4qK8vrDoqKiQly+tvT0dKSnp4uvg1mxhCqmdF507jsvOvedV9DPveCE3HIMasNfkFtP+m1iV/eCNfwqOFTJAMcDDgB1Ou1IYIJ+3slls9vtYq98QUEB9Hp9g+1VKhV0Oh369u2L8PDwoJ3/y3pC7aVceeWVyMzMDGgZm80GxhhUKhVsNhvy8vJw5513YtiwYdiyZQsyMjKwZcsWpKWlAQCGDRuGRYsWYeLEidDr9SguLkZycvLlhk4IIYS0a7yzEirD9uoSloLNZ75LFgObdjDsIQPhlre9HkZCWpvT6URxcbGYzJeWljY4QkQmkyExMRFJSUlISkpCVFQUOI5r03/YBZTcX7hwweu13W7H1q1bA/5KwmAw4P333wcAuN1uXH311UhNTUXPnj2RmZmJzZs3Izo6GrNmzQIAJCUlYdSoUZg1axZ4nsf06dOpUg4hhJBOS+IohbryDyir9oJjLq95DDzsIf1hDR0Bp6oHQMNuSCfmdrtRUlIiJvPFxcUQBKHe9jzPo0uXLmIyHxsbC4mkfZWB5VhjB7TD96ZZuVyObt26Ydq0aejRo0ezB3e5ioqKgrbttvwXHWlZdO47Lzr3nVernHvGILccgaryLyisx31mu6URsGlTYQ1NgyCLaNlYCAD6nW+LGGMoKysTh9qcO3cOTqdvyVcPjuMQGxsLnU6HpKQkdOnSBTKZ7JLbCfa5b7ZhOQ1VyyGEEEJI8+NdVVAad0JZtQ9SZ6nPfKciCebI6+BQ96YHTZFOx1PRxpPMFxYWwmq1NrhMZGSkmMzrdDooFIpWirZ1BJTcu1wurFy5En/++ad44+vo0aMxadIkyOXyloqREEII6XR4VxXU+l+hMuwAB+9hBAwcHOresERcC6eyGw29IZ2K2Wz2Kk9ZVVXVYHutVism8klJSdBoNK0UaXAElNz/+9//RnFxMaZNm4aYmBiUlpYiKysLX3zxhd9KOoQQQggJDO8yQK3fUvOgKe/x9AInhy10GCzhV0GQ+VaNI6Qjql3RprCw8JLPOlIqleKYeZ1Oh7CwMHCd6A/ggJL7Xbt24cMPPxT/4tHpdEhJScE//vGPFgmOEEII6RSYAJntLJRVe6E07gYHt9dspyIJlvDRsGv6ATx9U046NpfLhaKiIjGZLykpaXRFG51Oh+jo6E6VzNcVUHIfHh4Ou93u9XWGw+EQnypLCCGEkEZiAqSO81CYDkBZtRcSV6VPE6ciEZaI62DX9KehN6TDEgQBFy5c6FQVbVpSQMn9tddei7feegvjx48XHyz1888/49prr8WBAwfEdgMGDGj2QAkhhJB2jzFI7YVQVu2DwrQfErfRbzOHsissETfAoU6hpJ50OIwxlJeXi8n8pSraAEBsbKyYzDe2ok1nFVBy/8svvwAAVq9e7TPdM4/jOCxevLiZwiOEEEI6AOaGwnQA6srfIbP7L9Ms8CrYNf1g0w6m+vSkQ2lKRZuIiAgxmU9MTIRSqWylaNu/gJL7jz76qKXiIIQQQjoczm2Bsmov1JV/QuLyfay9wKvgUKfAHjIQdk0fgLvsB8cT0iaYzWYxmQ+0oo1Op0NISEgrRdrx0LsIIYQQ0ow4txlK4x4oLEcgs572LWPJSWELGQi7NhUOVU+qTU86BE9FG09C35iKNp7SlElJSZ2uok1LouSeEEIIuVyMQWorhLryDyjMh3xKWAKAwKthDRsFS/goMEnHrrNNOr6mVrTxJPSdvaJNS6LknhBCCGkizm2GyrgLXGEuIm3n/bZxKpJgDR0Km3YwlbEk7Zanoo2nZ764uBhut7ve9lTRJngouSeEEEICwQTIrPlQGXdAYTrkU5MeAJyKBFhDR8Ch6QNBGhqEIAm5PJdT0Uan0yEhIYEq2gQJJfeEEEJII3AuE1TGHVAZd/mtSS9wcjhC+sESNgouRRJVuyHtjsFgEJN5qmjTfgWU3O/fvx9r1qwBUP102m7duqFr165ISkqCVEp/JxBCCOlgmAsK8xEoq/ZCbjnmdyy9U6GDJDEdZehOw25Iu1K7ok1hYSGMRv/PXfAICQkRk3mqaNN2BVwKMz09HTqdDmfPnsXOnTuxYsUKGAwG/Pe//22pGAkhhJDWwxgkjgtQmvZDZdwB3m32aSLwati0V8KmHQaXMhHR0dFAWVkQgiWk8ex2O86dOyf2zlNFm44poOTe6XTizjvvBACMHDlSnG4ymZo3KkIIIaQ1MQap4zwUpgNQmPZD6iz128ypSIIlfDTsIQOoJj1p81wuF4qLi8VkvjEVbRISEsRkniratE8BvTONHj0aeXl5uPLKK72m09cyhBBC2iUmQFm1GyrD9nqfHOuWhMIWOgQ27WC45bGtHCAhjdeUijbx8fFiMh8XF0cVbTqAgJL70tJSLFy4EBkZGRg6dCgSEhJaKi5CCCGkxfAuA1SGnVCY8iB1+g6nETh59ZNjtYNg1/SjB02RNql2RZvCwkKcO3cODoejwWWook3HF1ByP3ToUERHRyMnJwcrV66EIAi44oor0K1bNzz88MMtFSMhhBDSLHhnBTT6LVAad/uUsGScFHZNP9hDBsCu7k03x5I2yVPRxtM739iKNjqdDjqdjiradAIBJfc33nij1+uSkhKcPXsWZ86cadagCCGEkGbDGKT2Iqgrf4fCtB8cvMccC7wClvCrYQ27CkyiClKQhPhnsVi8ylM2tqKN50ZYGjrd+VzW3UCxsbGIjY3FsGHDmiseQgghpFlwgg0qww6oDNv91qV3Kq+AJewqODS9wXhF6wdIiB+1K9oUFhaivLy8wfZU0YbURbf6E0II6Thqnh6rrNoLhWk/eOY7/tihSoY54jo4VT3oQVMk6KiiDWlulNwTQghp3wQn5JZjUJgPQ245Donbd9iCwCvhUPeGJfwauJSJQQiSkGqCIKCkpERM5qmiDWluASX3giCA5/mWioUQQghpNM5lgsqYA7XhT78PmgIAlywWlvCrYNMOBniqCkJaH2MMFRUVYjLf2Io2nqE2VNGGBKrRyb0gCLj//vvx1VdfNdtFJggCXnjhBURGRuKFF16AyWRCZmYmSktLERMTg5kzZ4o3gqxevRqbN28Gz/OYNm0aUlNTmyUGQggh7YvEUQqVYRuUxj1+h90IvBI27WDYtKlwKZJo6A1pdU2paONJ5qmiDblcjU7ueZ5HQkICqqqqEBkZ2Swb37BhAxITE8WLPisrCwMHDkRGRgaysrKQlZWFKVOmoLCwENu2bcOCBQug1+sxd+5cLFy4kL5FIISQzoK5oDDth7IqF3LLcZ+KN25pGGzawbBr+sKlSKS69KRVeSraeJJ5qmhDgimgYTlXX3013nnnHUyYMAFRUVFeN3AMGDAgoA2Xl5djz549mDRpEtavXw8AyMnJwauvvgoAGDNmDF599VVMmTIFOTk5GD16NGQyGWJjYxEfH48TJ06gV69eAW2TEEJIO8IEyKwnoTLugdxyGLxg92niksfBEn4NbNpUSuhJq/FUtNm5cyeOHz/e6Io2nmQ+PDycboIlLSag5H7jxo0AgO+//95rOsdxWLx4cUAb/uqrrzBlyhSvr6oMBgMiIiIAVH9F5fnLt6KiAikpKWK7yMhIVFRUBLQ9Qggh7QPvrIDKsB3KqlxI3FV+29hrbo51qroDHH2LS1pWoBVtpFIpEhMTxd75mJgYSuZJqwkouf/oo4+aZaO7d+9GWFgYevTogYMHD16yfUO/QLVlZ2cjOzsbAPD2228jOjr6suK8HFKpNKjbJ8FD577zonN/GQQXUHkAXNkOcBW7/DZhihiwmFFA9EjIlDEIa+UQG0LnvmNxu90oKipCfn4+Tp06hbNnz8LlctXbXiKRQKfToUePHujRowcSExMhlVJBwo6sLf/OB3zl5eXl4c8//4TBYMALL7yAU6dOwWKxBDQs5+jRo9i1axf27t0Lh8MBq9WKRYsWISwsDHq9HhEREdDr9QgNDQUAREVFeX3lVVFR4Xfcf3p6OtLT08XXZWVlge5es4mOjg7q9knw0LnvvOjcB45zVUFl3Am1YTt4t8lnviAJgS1kIGyhw+CSd6m+OdYEwNS2jjOd+/atKRVtYmJi0KtXL0RFRSExMdGr2EhlZWULR0yCLdi/8wkJCfXOCyi5//HHH7FhwwaMHTsW27dvB1D9MIVvv/0Wb7zxRqPXc++99+Lee+8FABw8eBDr1q3D008/ja+//hpbtmxBRkYGtmzZgrS0NADAsGHDsGjRIkycOBF6vR7FxcVITk4OJHRCCCFtBWOQWU9BZdwFhSkPHASfJg5VT1jCr4JD3ZuG3ZAWYTQaxWS+sLAQFoulwfa1K9okJiZCpVIFPcEjxJ+AkvsNGzbg5ZdfRmxsLNasWQMASExMRFFRUbMEk5GRgczMTGzevBnR0dGYNWsWACApKQmjRo3CrFmzwPM8pk+fTpVyCCGkneGdFVBW7YOyai+kzlKf+W5JaHXFG+2VcCnq75UipCksFotYzaYxFW00Go344CidTgetVttKkRJyeQJK7q1Wq8/4IpfLdVnjyvr374/+/fsDALRaLebMmeO33aRJkzBp0qQmb4cQQkjr452VUJgPQFm1FzK7/44gp/IKWMJGwR4ykCrekGbjqWjjSegbU9HGcxMsVbQh7VlAWXnfvn2RlZXllWT/+OOPYnJOCCGESJzlUFTlQmE+Apm90G8bgZPDrk2FNXQ4XMrEVo6QdESeijaeZP7ChQuNqmjjGWpDFW1IRxFQcv/QQw/hnXfewaZNm2Cz2TBjxgyo1Wo8//zzLRUfIYSQdoAT7FCYDkBl+Asy+zm/bRgnhUPVEzbtINg1/QFe3spRko5EEASUlJSIY+aLiorgdrvrbc/zPOLj48VkPj4+HhIJfVNEOp6AkvuIiAjMmzcPJ0+eRGlpKaKiopCcnEzj3wkhpDNiDBLHBSircqEy7gAv2HybgINDlQx7yADYQ/qDSTRBCJR0BE2taOMZM5+QkAC5nP6gJB1fQMn92rVrcdtttyE5OdmrWs369esxceLEZg+OEEJIGyQ4oazaW91L7zjvM5uBh0PdGzbtlXCoUyihJ03mqWjjGWpzqYo24eHh4ph5T0UbQjqbgJL7lStX4rbbbvM7nZJ7QgjpwBiD1HYWKmMOFObD4AXfJMstjYQ1dBisYSPAJOogBEnaO6poQ8jla1Ryf+DAAQDV49s8P3tcuHCB/jImhJAOincZoDLshLJqDySuSp/5jJPBrukDm3YwHOpeVO2GBMRut6OoqEhM5i9V0UahUIhj5qmiDSH+NSq5/+STTwAADodD/BkAOI5DeHg4HnrooZaJjhBCSKvjXFVQWI5CYT4MufmI34dMuaXhsISNhi10GJiEOnhI4zSlok1CQoKYzEdHR9N9foRcwiWT+59++gkfffQRAGDhwoWYMWNGiwdFCCGk9Uns56HRb6n3qbECr4RdMwDW0GFwKZPoybHkkjwVbTzJPFW0IaTlXTK5/+abbzB+/HgAwJ49e1o8IEIIIa2ICZCbj0Bl3AmF5ajfJg5lV1jDRsMe0g/gmv7QQtLxeSraeJL5wsLCRlW08STzVNGGkMt3yXfp+Ph4LFu2DDqdDi6XC5s3b/bb7oYbbmj24AghhLSQmoo36so/IHWW+cx2KLvCrukHh6Yv3PKYIARI2oumVrTR6XTQ6XR03x4hzeySyf2MGTOwdu1a/Pnnn3C73fjjjz/8tqPknhBC2riaijdKUy6UVXl+K97YNf1gjriuetgNIX7UrmhTWFgIg8HQYHuqaENI67pkcp+QkIDHH38cAPD6669jzpw5LR4UIYSQ5sO5zVCYD0Fl2OH36bECr4Q1dDhsYcPhlkUFIULSljkcDpw7d05M5svKfL/pqc1T0cYz1CYiIoIq2hDSigIaPDlnzhxUVlbixIkTqKqq8rrDnXruCSGkDREcUJoOQG4+BIX5cMMVb8LSwHhlEIIkbZHL5cL58+fF8pRU0YaQ9iWg5H7nzp348MMP0aVLFxQUFCApKQkFBQXo06cPJfeEENIGSBxl1U+PNe4A7zb7zGecFDZtKmwhg+FUdaOKNwSCIKC0tFRM5ouLi+Fyueptz/M84uLixGQ+Li4OUindaE1IWxHQb+OKFSvwxBNPYNSoUZg2bRreffdd/PrrrygoKGip+AghhDSEMUgd56Ew5UFhPgKp47zfZk5FEmwhA2ELHQwmCWnlIElbUreizblz52C32xtcJjo6WkzmqaINIW1bQMl9WVkZRo0a5TVtzJgxePTRR/HAAw80a2CEEELqx7mtUFbthsqwE1Jnqd82bmkYrKFpsGsGwK2Ia+UISVtSVVUl9swXFhbCbPb9Vqe28PBwccw8VbQhpH0JKLkPDQ1FZWUlwsPDERMTg2PHjkGr1UIQfMdyEkIIaWbMBbnlBJRVeyE3HwHPfOuHM0jgUKfAFjoUdk1fgKMHAHVGnoo2nt75xlS08STzSUlJVNGGkHYsoOR+7NixOHLkCEaOHIlbbrkFr732GjiOw8SJE1sqPkII6dwYg8x2Bsqq3VCYDvktXylwcjg0vWEPuRIOdQoYrwhCoCSYqKINIcQjoOQ+IyND/HnMmDHo378/bDYbdDpdc8dFCCGdGifYoTTugsqwo95hNy5ZLCzho2EPuRJMQsMmOhNPRRtPz/yFCxca/Ba9dkUbnU6HmJgYqmhDSAd1Wbe3R0dHN1cchBBCGIPUUQylYSeUplzwgu9Njm5pGGwhg2DTpsItjweot7VTuJyKNjqdDvHx8VTRhpBOgn7TCSEkyCT281Ca9kNhyoPU6TucQuDksIdcCVvoUDiVV1D5yk6AMQa9Xi8m81TRhhDSWJTcE0JIEHAuE+TW41AZd0NuPem3jUsWDWvYKFhDhwE8JWodXaAVbcLCwsRkniraEEI8KLknhJDWwgTILUegNO6teWqs26dJ9c2xfWANGwGnshv10ndgVqtVHDNPFW0IIc0loOR+7dq1uO2223ymr1+/nirmEEJIPXiXESrDdiirciFx6f22sat7V5evVPemXvoOyuFwoKioSEzmqaINIaQlBJTcr1y50m9yv3LlyoCSe4fDgVdeeQUulwtutxsjR47E3XffDZPJhMzMTJSWliImJgYzZ85ESEj1kxRXr16NzZs3g+d5TJs2DampqYGETgghrYsJkFtPQFGVC6VpPzjme/OjU6GDXdMXNm0qBFlkEIIkLakpFW26dOki9sxTRRtCSFM0Krk/cOAAgOq79T0/e1y4cCHgcX4ymQyvvPIKlEolXC4X5syZg9TUVOzcuRMDBw5ERkYGsrKykJWVhSlTpqCwsBDbtm3DggULoNfrMXfuXCxcuJDe9AghbQ7v1ENhPgKV4U9IneU+8wVeBWtoWnW1G0WXIERIWkrtijaFhYUoKipqsKINx3GIj4+nijaEkGbVqHeRTz75BEB1j7vnZ6D6jSksLAwPPfRQQBvlOA5KpRIA4Ha74Xa7wXEccnJy8OqrrwKorqP/6quvYsqUKcjJycHo0aMhk8kQGxuL+Ph4nDhxAr169Qpou4QQ0hI4txXKqj3givIQbTnrt41T3gWWyBtg1/QBOErgOoLaFW1KSkpw6tSpRle00el0SExMpIo2hJBm16hPmI8++ggAsHjxYjz11FPNsmFBEPD888/j/PnzuOmmm5CSkgKDwYCIiAgAQEREBIxGIwCgoqICKSkp4rKRkZGoqKholjgIIaRJBAcU5oNQVuVCbjkBDr7DLQReCZt2CGzawXApEqkmfQfQ1Io2nrHzarW6lSIlhHRWAXUfPfXUU8jLy8Off/4Jg8GAF154ASdPnoTVasWAAQMC2jDP83jvvfdgNpvx/vvv4+xZ/71dQHXvSGNkZ2cjOzsbAPD2228H9SFbUqmUHvLVSdG57+CsxeCKfwHKdoATHD6zGScFQnuBRQwCYkZDKVFCGYQwSfMwm83Iz8/HqVOncOrUqUt2LIWEhKBHjx7iv/Dw8NYJlAQFvd93Xm353AeU3P/000/44YcfMHbsWGzfvh0AIJfLsXTpUrzxxhtNCkCj0aBfv37Izc1FWFgY9Ho9IiIioNfrERoaCgCIiopCefnFsasVFRWIjPS9+Sw9PR3p6eni60tVImhJ0dHRQd0+CR469x0P5zJBVbUHiqpcyBzFfts4FQmQJFyPciSDSWrSeb0JgKn1AiWXLdCKNnK5HDqdDn379kV4eDgiIyPFijYul4veCzo4er/vvIJ97hMSEuqdF1By/8MPP+Dll19GbGws1qxZAwBITExEUVFRQAEZjUZIJBJoNBo4HA7s378ft99+O4YNG4YtW7YgIyMDW7ZsQVpaGgBg2LBhWLRoESZOnAi9Xo/i4mIkJycHtE1CCAkU76yEunIrVMad4JjTZ75LFlMz7GYQBFkEoqOjweiDvl1xu904f/68mMxfqqKNRCJBQkKCT0WbYH/QE0KIR0DJvdVq9fkKwuVyBXx3v16vx0cffQRBEMAYw6hRozB06FD06tULmZmZ2Lx5M6KjozFr1iwAQFJSEkaNGoVZs2aB53lMnz6dKuUQQloGc0NuPgKlaR8UpoM+Y+kZJHBoesMSdhWcqu40jr6dEQQBZWVlYjLfmIo2cXFxYjJPFW0IIW1dQO9Qffv2RVZWFiZNmiRO+/HHH9G/f/+ANtq1a1e8++67PtO1Wi3mzJnjd5lJkyZ5bZcQQpoT57ZBZdwJVeWfkLiNPvOd8i6who+GPWQAGE+j6NuL2hVtCgsLUVhY2KiKNp4HRyUkJEChULRStIQQcvkCSu4feughvPPOO9i0aRNsNhtmzJgBtVqN559/vqXiI4SQlsMYJI7zUBv+gqJqH3jme4OsQ9UDlvBr4FD3pl76dqKqqkp8cFRBQQFVtCGEdCoBJfdhYWGYN28eTp48idLSUkRFRSE5OZmGyBBC2hfBAYX5MNSVWyGzF/rMdku0sIUOhS1kENyK+CAESAJhtVrFXvmCggJUVlY22F6tVovJfFJSkli8gRBCOoJGJ/eCIOD+++/HV199heTkZLqhlRDS7vDOSqiMu6AybAcv+PbmuuRxsISNhi10CD1oqg1rakUbT0Jfu6INIYR0NI3+9OJ5HgkJCaiqqvJbhpIQQtokwQmlaT+Uxl2Q2/J9ZjNOCrumL6xho+BUdqOhN21Q7Yo2hYWFOH/+fJMq2hBCSGcQUNfU1VdfjXfeeQcTJkxAVFSUV89HoA+xIoSQliRxlEJZtRdKYw4kbt9a825pGKyhw2ANHQkmDQlChKQ+l1PRRqfToUuXLlTRhhDSaQX07rdx40YAwPfff+81neM4LF68uPmiIoSQJuDcJijMR6E07vbfSw8eTlV3WEOHwx7Sj4betBGMMVRWVorJPFW0IYSQpgvok+2jjz5qqTgIIaRJeKceCvMRKEz7IbOd8alLD1TfIGsNvwo2bSoEaVgQoiR1BVrRJjQ0VBxmQxVtCCGkftRtRQhpf5gAmfUUNPotkFtP+G8CHg51L9i0g6mXvg2gijaEENI6Avq0W7Fihd/pMpkMkZGRSE1NRXh4eHPERQghPnhnBdSV26CsyvVb7QYAHMqucKh7wxY6hHrpg8hT0caTzJeWljbY3lPRxpPMU0UbQghpmoCS++LiYuzcuRPJycmIiopCeXk5Tpw4gaFDh2L37t1YsmQJnn32WaSmprZQuISQToe5ILecgNK0D4qqPJ9hNwwcHOoUONS9YQ8ZAEFKPbzB0NSKNp5kPjY2liraEEJIMwgouRcEAc888wyGDx8uTsvJycHWrVvx5ptv4rfffsPy5cspuSeEXDbeWQGVYTtUxhzwgs1nviAJgS1kACzh10CQUXne1sYYQ2lpKVW0IYSQNiagd9Z9+/bhmWee8Zo2dOhQsVLOtddeiy+//LLZgiOEdC6c2wq59SQUpv1QmPaDA/Np41D1gCX8ajjUvQGOenpbS92KNufOnYPN5vtHV21RUVHiTbBU0YYQQlpHQMl9fHw8Nm7ciPHjx4vTNm7ciLi4OACA0WikN29CSGCYGwpTHlTGXZBZ8/0m9G5pBOwhA2DX9IFT2Z0eNNVKTCaTmMxTRRtCCGkfAkruH3vsMcyfPx9r1qxBZGQkKioqwPM8nn32WQBAUVERJk+e3CKBEkI6Fs5tg7JqN9T63yFxG/22qe6lvwYOdS/qpW8FNptNvAG2sLAQer2+wfZqtVocM08VbQghpG0IKLnv0aMHFi5ciOPHj0Ov1yM8PBy9evUSx03269cP/fr1a5FACSEdA+/UQ23YBqUhBzzzflARAweXIgEOdQrsIQPhUiQEKcrOwel04ty5cwFVtElMTBSTeapoQwghbU/AdzMdOnQIW7duhdFoxAsvvICTJ0/CarViwIABLREfIaQjEBxQmA9BacqD3HzEZ+iNIAmBJWwEbKHDqdpNC3K73bhw4YI4zIYq2hBCSMcTUHL/448/YsOGDRg7dix27NgBoLonZ+nSpXjjjTdaJEBCSDtV86AptWEbZJaT4JnDp4lLFgtL+GjYtIMBXh6EIDs2T0UbT898UVERnE5nve05jkNsbKzYM08VbQghpP0J6F17w4YNePnllxEbG4s1a9YAABITE1FUVNQiwRFC2h/ObYbKmANV5V8NjKVPhiV8NFW8aWaXU9FGp9MhMTGRiiIQQkg7F1Byb7VaER0d7TXN5XJRzw4hnR0TILcch8K0D8qqPHBw+zRxyaJg0w6BPWQg3PKYIATZMXkq2nh6500mU4PtqaINIYR0bAFl5X379kVWVhYmTZokTvvxxx/Rv3//Zg+MENLGMQapvRAK00EoTfsgcVX6NBEkGtg0A2ANvwpuWTSVsGwGgVa0UalUYiKflJSEsLCwVoqUEEJIMASU3D/00EN45513sGnTJthsNsyYMQNqtRrPP/98S8VHCGlLasbRK037IbcchcRl8NvMqUiENWwkbNpUgKNv9i6H0+lEUVGRONSGKtoQQghpSECfuhEREZg3bx5OnjyJ0tJSREVFITk5maonENLBca4qKE15UFf+CYnLf0+xwGtg06bCpr0SLkUS9dI3UVMq2nTp0kVM5qmiDSGEdG4Bd6lxHIfk5GQkJycDAM6cOYOVK1di1qxZzR4cISSImACZ7QzU+t8htxz1++RYgVfCrukLe8iAmgdNUS99oKiiDSGEkObUqE8Eu92O1atX4/Tp0+jSpQvuuusuVFVVYdmyZcjLy8OYMWNaOk5CSCuROEqhrNoDZdVev8NuBF4Fm3Yw7Jr+cKq6ApwkCFG2X4wxGAwGsWe+sLCQKtoQQghpNo1K7pcsWYL8/HwMGjQIubm5OHv2LIqKijBmzBg89thjAT9yvKysDB999BEqKyvBcRzS09Nx8803w2QyITMzE6WlpYiJicHMmTMREhICAFi9ejU2b94Mnucxbdo0pKamBryzhJD6SeznEVLxC+Tmw3576R3KrrBpB1NN+iZoSkUbzw2wSUlJVNGGEEJIozUqud+3bx/effddhIWFYcKECXjiiSfw6quvom/fvk3aqEQiwf33348ePXrAarXihRdewJVXXonffvsNAwcOREZGBrKyspCVlYUpU6agsLAQ27Ztw4IFC6DX6zF37lwsXLiQxpUScrmYCwrTgep/5sPg4D22W+BVsIcMgCX8arjlsUEKsv2hijaEEEKCpVHJvc1mEz9soqKioFQqm5zYA9U35kZERACo/lBLTExERUUFcnJy8OqrrwIAxowZg1dffRVTpkxBTk4ORo8eDZlMhtjYWMTHx+PEiRPo1atXk2MgpDPj3BaoDNuhMvwFidu3F9mu7gNb6FDYNX1oHH0jeCra7NmzB8eOHUNJSUmD7WUymZjI63Q6REVFUUUbQgghzaJRn9putxsHDhzwmlb39YABA5oUQElJCfLz85GcnAyDwSAm/RERETAaq59uWVFRgZSUFHGZyMhIVFRUNGl7hHRaTIDUXgxl1S4ojXvBM7tPE4eqB6qib4VbER+EANuPy6loo9PpEBcXR988EkIIaRGNSu7DwsLwySefiK9DQkK8XnMch8WLFwe8cZvNhvnz5+PBBx9scEwpY77jf/3Jzs5GdnY2AODtt9/2eZpua5JKpUHdPgmeNnXuBSdQeQCcPg+ozAPnNPo0YbIwsLgxQNQwSFVdEBGEMNs6QRBw4cIFnDp1CqdOncKZM2fgcDjqbc9xHBISEtCjRw/06NEDV1xxBWQyWStGTFpbm/q9J62Gznvn1ZbPfaOS+48++qjZN+xyuTB//nxcc801GDFiBIDqPyL0ej0iIiKg1+vFG3WjoqJQXl4uLltRUYHIyEifdaanpyM9PV18XVZW1uxxN1Z0dHRQt0+CJ+jnnrkhs+ZDYT4IZdU+8ILVbzOXLAaWiOtg0w6qrnhjBmCmaxZoWkWbyMhI9OrVC9HR0T4VbQwG/w/7Ih1H0H/vSVDQee+8gn3uExIS6p0XlMG0jDF8+umnSExMxMSJE8Xpw4YNw5YtW5CRkYEtW7YgLS1NnL5o0SJMnDgRer0excXFYp19Qkg1iaMUKsNfUFblgRfMftsIvAoOdQqsocPhVHUHOBoa4mEymcSbYAOtaKPT6aDRaIL+Zk8IIYQEJbk/evQofv/9d1xxxRX45z//CQC45557kJGRgczMTGzevBnR0dHig7GSkpIwatQozJo1CzzPY/r06TRelRBU3xirrNoDpXE3ZI7zftu4pRGwaQfBru4DlzKJEvoaNpsN586dE5P5xlS0qV2ekiraEEIIaYs41tgB7e1QUVFR0LZNPXidV4uee8YgcVyAwnIUcvMRyGxn/Nakd0tCYQ/pD7tmAJyqbpTQ42JFG0/vfGlpaYP388hkMiQmJorJfGMq2tDvfedF575zovPeeQX73Le5YTmEkAAJTiir9kBlzIHMfs5vE8ZJ4VCnwBI2Ck5Vz06f0Hsq2niS+eLi4gYr2vA8j4SEBKpoQwghpF2j5J6QNox3GaA07oLa8Bd4t+84egYOLoUOttAhsGkHg/EKP2vpHBhjKCsrE2+APXfuHJxOZ73tOY5DbGysONQmISEBUim9JRJCCGnf6JOMkLaGMchsZ6Cq3AqF+ZDPsBvGSWHX9IVD3Qd2dS8waUiQAg2upla08fTM63Q6r4o2hBBCSEdAyT0hbYXggLJqL1TGXZDZC31mu6VhsIRfXd1DL9EEIcDgM5vNXsl8VVVVg+21Wq04Zt5T0YYQQgjpyCi5JyTIJI4yKKt2Q2ncDYnbN1l1qHrAGpoGe8jA6nr0ncjlVLTR6XQICwu75E2whBBCSEdCyT0hQSK1noG6cisU5oO+Q28ggS10CCxho+FWxAcpwtbndDpRXFwsJvMtUdGGEEII6cgouSekFXGCHYqqXKgMOyBzFPvMd0tCYIkYA3vIIAhSbRAibF1utxslJSViMt+YijZdunQRk/nY2FhIJJ3r2wxCCCGkIZTcE9LSmBvKqn1QmA5AbjkGDm6fJnZ1L1hDh8Oh6dOhh95QRRtCCCGkZdGnJCEthbmgNO6FRv8rJC7fseIMEti0qbCEX91hh954Ktp4as0XFBRQRRtCCCGkBVFyT0hzcxqhqvwT6sqtkLgqfWa75HGwhg6DTTsMTKJs/fhamKeijSehb2xFG0/vPFW0IYQQQpqOkntCmonUVgC1/ndwJw5BC+9x4wKvhjVsJGzaVLjlMUGKsGXY7XavnvlLVbRRKpVe5Smpog0hhBDSfCi5J+QySBxlUJj2QWE+BJm9yGe+INHAEn4NrGEjO8zTY2tXtCksLERJSQlVtCGEEELaCEruCQkQ57ZBYdoHlXE3ZPYCv22ciiTYQgfDqh0K8PJWjrB5UUUbQgghpP2g5J6QxmAC5NYTUFTlQmE6CJ45fJtAArumL+Q974Te0n576RljKC8vF5P5S1W0AYDY2Fgxme/SpQtkMlkrRUsIIYSQ2ii5J6Q+TIDCfAhy82HILcf9Pj2WgYdD3Rs27SA41L3BJEpEq6MBS1kQAm6auhVtCgsLYbVaG1wmIiJCTOYTExOhVHa8G4MJIYSQ9oiSe0Lq4J2VUFbtgcqwAxK30W8blywW1rDhsGlTwSTtr7qL2Wz2ugk2kIo2Op0OISEhrRQpIYQQQgJByT0hqH5yrNx8GCrDDshtp/22EXglbNohsGkHw6VIBNrRTaGeijaehL6ioqLB9kqlUixNmZSURBVtCCGEkHaCknvSqUltZ6Gu3AqF+TA45vKZL0g0sGqHwR7Sryahbx83hrpcLhQVFQVc0caT0EdHR1MyTwghhLRDlNyTzkdwQmE5Ut1Lbz3pM5uBh0PVE3ZtKmzaQe0ioRcEARcuXBCT+eLiYrjd7nrbU0UbQgghpGOi5J50GhJ7MdSGv6AwHwbvNvnMd8rjYQ8ZAFtoGgRpaBAibLzLqWij0+mQkJBAFW0IIYSQDoiSe9LhSa1nEFLxS7299DbtIFjDr4FL0SUI0TWewWAQk3mqaEMIIYQQfyi5Jx1TTRlLtf53vw+ackvDYNMOhU07GG55dBACvLTaFW0KCwthNPqv3OMREhIiJvNU0YYQQgjpnCi5Jx0K76yE0pQHlWE7JC691zwGDnZNf1jDRsGp6trmxtJTRRtCCCGEXC5K7km7x7lNUBl2QWHaB5njvM98BgnsIf1hjryxTfXSu1wuFBcXi0NtqKINIYQQQi4XJfekfWIC5JZjUBp3QWE+Ag6+lWEEXgVr2AhYw0a1iRtkPRVtPD3zja1o40nm4+LiqKINIYQQQhoUlOT+448/xp49exAWFob58+cDAEwmEzIzM1FaWoqYmBjMnDlTHDO8evVqbN68GTzPY9q0aUhNTQ1G2KQN4J2VUBl3Qlm1BxKXwWc+gwQOdU/YQ66ELWQgwMuDEGVNLFTRhhBCCCGtLCjJ/XXXXYfx48fjo48+EqdlZWVh4MCByMjIQFZWFrKysjBlyhQUFhZi27ZtWLBgAfR6PebOnYuFCxeC5/lghE6CgbmhMB+CqnJbvU+PdSp0sIaNgj2kPxivaN34ajEYDDh9+jSOHDmCgoICqmhDCCGEkFYVlOS+X79+KCkp8ZqWk5ODV199FQAwZswYvPrqq5gyZQpycnIwevRoyGQyxMbGIj4+HidOnECvXr2CEDlpTTLraSiNOyG3nITE7VspRuDVsIUOgTV0GNzyuCBE2PSKNp6hNlTRhhBCCCHNqc2MuTcYDIiIiABQ3ZvpSZIqKiqQkpIitouMjKy3ikh2djays7MBAG+//Taio4N386RUKg3q9tstwQGU7wJ34XdwJv916RHWByz2WiBiEJS8FK3Z122z2XD69GmcOnUKp06d8vkjtS61Wo3u3bujR48e6NGjByIjI+km2A6Mfu87Lzr3nROd986rLZ/7NpPc16eh6iF1paenIz09XXxdVlbWEiE1SnR0dFC3364wATLraaiMOyE3HwbPHD5NBEkIrKFpNTfHagEGoKKyxUNrSkWbbt26IS4uzqeijWcMPum46Pe+86Jz3znRee+8gn3uExIS6p3XZpL7sLAw6PV6REREQK/XIzS0urpJVFSUV0JUUVGByMjIYIVJmpHEfgFKUy6UVXvruTmWg02bCmvoCLiUulapS9+Uijbx8fHiuPm4uDjExcXRmz0hhBBCgqLNJPfDhg3Dli1bkJGRgS1btiAtLU2cvmjRIkycOBF6vR7FxcVITk4OcrSkqaS2QihMB6CwHIbU4X9Ii0sWDZt2CGyhQyBIw1o0HsYYKioqvCraOBy+3xzUFhsbK46Zp4o2hBBCCGlLgpLcf/DBBzh06BCqqqrw+OOP4+6770ZGRgYyMzOxefNmREdHY9asWQCApKQkjBo1CrNmzQLP85g+fTpVymlvmBsKUx7Uhu2Q2c76bSLwathCBsIWNhwueRegBcelGwwG8QbYxla08STzOp2OKtoQQgghpM3iWCCD2tuZoqKioG072GOx2gLObYOyag/UlX9A4qr0mc84Kezq3rCHXAm7pi/At0wPuMVi8UrmW7qiDZ37zovOfedF575zovPeeQX73LeLMfek45Dai6AybIeyai845vKaxyCBXTsQtpCBcKiSW+QhU3a7HefOnROT+UvdxKpUKqHT6cRkPjw8nCraEEIIIaRdouSeNAuJoxRyy1EoTAcgt53xmS/wGljCR8MWOgyCNLRZtx1oRRupVIrExESxdz4mJoaSeUIIIYR0CJTckybjXQYozIegNO6CzO5/CJRLHgdr6AhYQ4c2Wy+9IAgoKSkRk/mmVLSRSFq+8g4hhBBCSGuj5J4EhHOboTAdgLJqH+S2fL9tGHjYQwbAGjocTlV3gLu8G6CbUtEmJiZGTOapog0hhBBCOgtK7kmjSBwlUFduhdK4Bxx8e8kZJ4VDnQK7ug/sIf3AJIHdhFqX0WgUk/nCwkJYLJYG29euaJOYmAiVSnVZ2yeEEEJI22HQu1FZ4YLbxSAwgAmAIACCwGA1C3C5WfUDLuvwN0q3sdPgb5WMgQGQyWyIiAZS+ra9CnqU3JP6CQ4ozEegrtwKmb3AZzYDD6eqG+ya/rBpU8Ek6iZvymKxiDfANqaijUajEXvmdTodtFptk7dNCCGEkMvHGIPLBTChOgEGu5g0e/+feb+uSaIFN4NB7764DladwJddcKK8tP7ht8Hhhlze/EVBmgMl98QH57ZBZfgL6sqt4AXfHnOnQgebNhV2TV8IsqY9LbgpFW08N8FSRRtCCCEk+BhjqDIIqChzobzUhYpSF2zWDlthvd2g5J6IJI4yqIw7oDTuAi/YvOYx8HCoU2AJv7ZmHH1gibWnoo0nmb9w4QJVtCGEEEIug8vJoK9wVQ9LcQFuF4PbzSAI1fOsFsFruInXx27tISc1M1jdefUsy1j1+u12AS5nc++VfxwHxCZIoVbz4HgOPF89jec5KJQcFEr/9/f5TR04r/8FNq1mQnhYOKz2hkcZBAsl952d4IDKuAsqww5InSU+s93SCNi0Q2ANS4MgDWv8amtVtCksLERRUVGjKtp4xs3Hx8dTRRvSLjDGwITqn91uBsHN/A379LNggy8btUyjmvhdhgXapHGzm9Bh15THKDJWfazrGyN7OdvybeN/IZ92gg2VlS4/DRsVGtwu7/1pZBhNbu/TvEnnIbCFAt5GoL8jl2rfDL8/glCdOHuml5yrhMlsF8dh112mdoLs83PdtrUa1D1WglB9jXjGmAtuwFQlwGhwN+n3riXxEkAiqU6HOe5ici0m2VxNssxx4PxMV6p5hGh58DwHriaBl8s5dEmSQ625vAIdzSk6WoWyMnOww/CLkvtOSmI/D5VxJ5RVueAFq898lywKlojrYdOmAtylk+zLqWij0+mQmJjY6SrauFzVSSHzjD2sGZvo+QdW/UZeVOhE0VkHXM7638GbI9EK9IO3qUlZYAvUfRlYhtMiSXbd9qz2fhkas0XSIZmCHQAJCt/Pz85GruAQGSNFVIwUkdEShIZLwPP0TXswUXLfiXBuMxTmw1BW7YXcespnPuOkcKh6who2Ag5170uWsAy0ok14eLg4Zr6jVrRxOgQUFVhQXu6o7mFxM5iMAirKXTBXCRDcgFDT0ysIwY6WEEJIu8YBoWE8QsMkkMk5SKQcJJLqISu8hINSVf1a7C2vWaa+nz0/cLVe1/ezVMZBLucgV3A0bLaNoeS+o2MuKMyHoTJsh8yaD85Pv6RbGglL+FWwhQ4F4xX1rooq2vhy2AWUl7pQXuJCeakbxko3gLY5Bo+0HI6D+CHp+Q1r1EddIxr5G+vZMsv4adSEz+umfMY3ZRmJhPPqf/A3TtZnO5fVpv4gOa76PiGXy8+wnFptGsJLcMnezkCPU6ucC67uy0uswKd9oOtvSkyBtW9oNsdzqD1iVKVSwWar6b3nOJ9LpnYyLP5Y+3XdWGsn2HXaSWU1SXvNeHO5kkN4pBQyGSXWxBsl9x2U1HYOCtM+qIy7/Va8YeBqHjSVBqeqp99eervdjqKiIjGZ74gVbRirvmtIEIfC1IyhZoDVIsBkFOCqGefodjO4nNVjHZ1OBn25C1WGpne/czwg4VH9AcBx4tjE2uMTOa6656VrTwUioyUBZ20tnQw06fQ2+4f7pVfYnB/u/iZ4xpdGR0ejrKzsUlsjHRCd+86Jzjtpiyi570iYC0rjXqiMOyCzn/OdDQ4uZVJ1XfqQgRBkEV7zm1LRJiEhQUzm23JFGyYwVBkFFBU4UGUQYKx0+1QRaBYcEBWtgFTmBl/z1ahSxSMiSoKwCCmk0upeF46r7qlrq8eLEEIIIe0TJfcdAO8yQq3/Hcqq3T4lLAHALQ2DTTsY1rBREKSh4vT2WtGGMQa3u/rpdJ5edruNoaLMBbuNobKieny708nEygZCCz37guOA8EhJ9Y1EsVJERkvRpUsM9eQQQgghJCgouW/HpLYCqAx/QVmVBw7e2SsDD3vIANi0qeLNsYwxVJSXiz3zhYWFjapo40nmExISWv1pbIxV35BaXuqCvswFq5XVPH66ebcjDonhLw6Hkck4aMN5KOS8OB5WKuMgqel9DwnlERkthVRKve+EEEIuYoxBqFX20lPmUqgZBuoSn+B6sb68T415cdmLXzGL0+s+9bXW/XQ1o01hc/l+O113+brLos58v9Vm/S3rp4yr17J+1lc3Zp/tNGJe9XzfBk43Q0vXrAitBBRuG5KjlC28pcBRct/OcIIdSuNuKKv2+B1645ZGwBo2EtbQNDCJqrqizaHDYkLf2Io2Op0OOp2uRSvauJwMZpMbFrMAp8NTv7d6CI3bDRj0blSUueCwN8/YGbmCQ1SsFPEJMmjDeIRoJTQ0hpBGYDU1vD1JQ+1EpfonzzwmtgFD9YcrY3CLyzGv9qi13MVteX+oVyc9FyfaXAzumm/sascl1No2q7W92tMEMNhdrLpiFaupXAXUJFxMvPfG87O7JgET11U7vlrbBAClygSjyQKnW/DaP8/+wmfaxXrm3olK7WX8tKl9zGtNY7WW8Ldtt8DgEi7O8DrOdTZed91e+1Cnne9+eU9zuAW4hTrn2M9yXnF4zat/W/Wvj/m09d1XP9uss3EBgMtdc13UtKh7jQFHfa8N0mnc0CMMM0Z1CXYYPii5byd4ZyWUVbuhrtzqd+iNQ9kVlogxqMQVKDx3DgV7tqGwsBAGQ8N1twOtaCN+ONf6YK79f7er+ol4DgeD2Vj9gA1PPXdBYLDbGGw2AS4HQwOFJS6pumJAdeWC6ifUAaHh1fV1NSE8wiOlkCs4scddUtOWdB5uwfOhfDEB87z2/Azxg7pO8lpnmt0leCWA7pr/CwKD3c3gdFcnTtJSN0oqqqsl1d6uVzJbJwEWEylPrH6muwQGq0sQewPFZLVWcupJZAUG2N0CXDXJnLsmRrPDLfYaetYj4OLPnv87ayWBtXJBQggh7QQl920ZEyCznoLKuBMK00Fwdb5kYpDAoh6AfFt3HDllR2HhXpSV/dLgKmVSBSIiuiAyIhGRYQlQqcIAxsFexbDjNycc9koxoQB8k/dgkMm56jHtMRKEhknEp9d1lh53xhicAoNb8JNcsurEssruhsPN4HALqLS5q7+SrN2rWau9xSl4JXPVyeHFBM8l1HydCz9Jb61kWXzt0+bia3ethNN3fRd7foU666n+2rq6x8/T+yvUsw2h5oKtuy43JaaEkCCq/fRVz89cTYlLmaTm6ay42Eh8XfOi1oNbG9WmbhlNhYSDxE+nlriMn1KvXmU/L1F5rPb2Glq3v0/q2sel7kSvbfhZCec7yWdZCQe/+96cFAo5eka0zTS6bUbV2QlOKMyHoNH/Cqnjgs9sGxeGo8YrsOMUUFBUCsZK6l0Vz0sRoo6DlIuDUtYFcmkEOI6H3QAUGwCg4TH3LYnnAZWGh0pd/Y+vGe/ueeS0WsMjKkaKkNC2mci7BAabS4DNJUBvdaHK7obdzcDOu1BWaYTFKcDqFOBwC3C4GVzu6uEEbnaxV1lgTEzKXcLFr87NTgFOtwCnuzqxpx5U0hbwtT6QaycqF6dxteZd/D/PeycyF3/2Tla4mome5VBrHZ7/yiXcxcSI48DX2ZZYVtYzv048MgkPqWc5DuBr2ktq/s9zF9cr8dmfi689x4Or2YkQjRo2ixUKKSceG/jsQ+399D5+F/fQNzGq/f4XaBvPzzxXfdxq87sufwmWn0Ss9j54zauTcEp4DvKa7fqLEXXW7Sff9NlGQ0mn/3mc33kNJaCeWOX8xTLFnnWJvwccEB0VjfLycq9pdc8H6ZjachlUSu7bEN5lgFr/B5TGHPDMN+kuNmvx50kZ8s7JITD/FxQHDmpVDGR8PJTyLlDKosFxLVDRxvMGXuf/HA+o1DwUCh4KFYewCAkUios3pEokgEbLQyqrvmH1ct8APT20tYcgOIWL42o9SXTtnm6rszoh9yTTblbd3uaqTsQtdeZ7knirU4BTqO75rrS6YHEKNL6yDeNwMVHzTTi5Oq+rf+BrFuRrXnsST7mUg4Sr/sfz1evlaxJAuYQXE84QlRIyVj3erPZ6/SWztZOougly3ek8B6hlkurhZaiTmML3Z4WEh6ym107KA1KOg0Yh8UlqPfshvgYglXCQ8r5JLWlYW/6gJy1HLuV9/mgiJNgouQ8mxiC1F0Fh2g+poxhyy3HUfYKs3cVhT6EKOWfVKDHJ/K5GIYuEQhYPlbwLlLJY8Lz/dhptdU+4UsX5PDSJ4zmEaHlEREvFD3SGml5mVp0AV48r9k6UL/ZAV0/39E575lcILjjcAuxOJibgTj0Tx/W6asYq290C7K7q6U43g7NmzLCnl9tVk4RbnBd7wZ01SXdn6NWW8tW9iLyYXHKQcBf/H6qUQFGTZGoVEiilvJi8ear/8DVJq0LKQ8ZztZI6eLXlOQ4qKS/+DFxMlKsTX+5iksp55lW3u9h7xdX02lW3F68zXNwm4J2QiuupiVPCe/fQikls9QYu9sjWSdb5mixawl+Mq7VQgkcIISTYKLkPBsEJrnI3NJV/Qi34TwTKzBLkFamw/bQGFqf302OlEi1U8i7Vybw8DhLefxkmp0yAReGGUepGCeeEDQLc5dUJs8BqnrrKahJu4WLy7aKhII3CAVDJqhPqcKUUYUoJFFIe0Vo1eMEJpZSHWsZDIeUgl3gS6uqk1dMDLOGqe0kVEg5SCSe+Vsl4MQmX1fSkEkIIIYRcCiX3rcQtMBw6VwyV4U8Mkh2ARuJ/rPupcjm2ntLgWKkCnlGAEl5Vk8hX985LJRqf5YzMhf2CBUa44GIMBrhgczHA2pJ71TZ4bpyR8jXDELjq3unqJPpir7SEvziMQiPnxURaWpNAq6Q85FIOipr5nnkSrnrMqEYugUxS/XOUWgaNjPd7ww713hJCCCEkWNpVcp+bm4ulS5dCEASMHTsWGRkZwQ7pksqMehSe3IUuroO4LqwEEqXvsJvDFxQ4XqpEQaUMFRYpeE4OtSIeKnn1uHmZJNRnzKv5/7d37zFN3f0fwN+9yqUCbaHyEy8I4hzq8IKPDq9csj3bdFeHcXMZaBYvw+tchotbTJzZ8mTMK4hRVGIymUumi8tc8igqOnTB4TKnQy6iYQ4stFVgUEp7vr8/0D4iMHGgLe37lVTa0+/3nM/pp+DnfPs9p8KBamFDIxy4KVrxh2h5JPO/FbK2m/LOTS3HnYL5ztSJ++4r5f/r07ZMtBXbckAl/996lHJAJQOUcgGVrO2+j6Ltp+rOcyqZcK7rbgw+ctFuXf3utG2vk1ei04sj/80rdu9lOjttJ+75t/1mWwIDIG7Xd9FXAK2tXW+X+jRrQH+I+gZXh0EuwNx7J+bde1kD+kMofSAbGunqUDroM8W9JEnIycnBunXroNfrsXbtWsTGxmLQoEGuDq2DerMJv538BkN8y/GE1oLoTi4dX2+V48dKf/xc5YcWuwo+agPUyhAE+fWDo9UOu9UM260SCOlXNAsJMkiQSRJkcEAGAZkQCAMgEwJPQtxZBsjvXB1bLtp+qiU7/O3N8LNboZZaoRAS5EKC4s5NLiQohQMqyQ6l5IBCOKAUEpSSHUrh6HAFAXf0qL+F7mHdcnUA5DK3XR0AuQxz752Yd+91G4AsLhGy1BWuDqWDPlPcl5eXIzQ0FAMGDAAAxMXFoaioyO2K+2sntmDcwBoM7yKsSpMaZyo1qKrVI7TFhqnmSvxfowVqqQX9Wm51OKGWiIiIiKi7+kxxbzabodfrnY/1ej3KysratTl27BiOHTsGAPjss88QHBz8WGMEgDJJBdV9V56ssqhQagzEzRv+GHDTiOmNV+AjJOfXrMoC5IDcHzK1rvOL9N4/ft5pk27066pdp8PzD+7b7cvjdbrNRxxvt7fZWbPuxtH5+mQyOYSQum6nUvPSgh5KJpM5v8WZvAtz752Yd+8lk8mgenIM/FxQaz5InynuO/vlub9ASkpKQlJSkvOxK05qbO03HEAVahrUuGIMRoviCUT+Kw5jJmow5gF9+9qfh74W7+PCE2q9F3PvvZh778S8e6+7uW9yUf4HDhzY5XN9prjX6/UwmUzOxyaTCVqt1oURdW7Ev2biv8WBmP7vf+PJWxZXh0NEREREXkT+4CbuITIyEtXV1TAajbDb7SgsLERsbKyrw+pAqVYjZvIkqJSP4FthiYiIiIj+Rp8ZuVcoFFiwYAE2btwISZIQHx+PwYMHuzosIiIiIiK30WeKewAYP348xo8f7+owiIiIiIjcUp+ZlkNERERERH+PxT0RERERkYdgcU9ERERE5CFY3BMREREReQgW90REREREHoLFPRERERGRh2BxT0RERETkIWRCCOHqIIiIiIiIqOc4cv+IpKenuzoEchHm3nsx996LufdOzLv3cufcs7gnIiIiIvIQLO6JiIiIiDwEi/tHJCkpydUhkIsw996LufdezL13Yt69lzvnnifUEhERERF5CI7cExERERF5CKWrA/A0v/zyC/bu3QtJkpCYmIiXX37Z1SFRD9XV1SEzMxO3bt2CTCZDUlISnn/+eTQ2NmLTpk2ora1FSEgIVq1aBY1GAwA4dOgQ8vPzIZfLkZqairFjxwIArl69iszMTNhsNowbNw6pqamQyWQu3Dt6EEmSkJ6eDp1Oh/T0dObdi/z111/Izs5GVVUVZDIZlixZgoEDBzL/Hu67775Dfn4+ZDIZBg8ejKVLl8JmszHvHigrKwvFxcUIDAxERkYGAPTq3/jW1lZs374dV69eRf/+/bFy5UoYDIZHv2OCeo3D4RBpaWmipqZGtLa2ijVr1oiqqipXh0U9ZDabRUVFhRBCiKamJrF8+XJRVVUl9u/fLw4dOiSEEOLQoUNi//79QgghqqqqxJo1a4TNZhM3b94UaWlpwuFwCCGESE9PF1euXBGSJImNGzeK4uJil+wTdd+RI0fE5s2bxaeffiqEEMy7F9m2bZs4duyYEEKI1tZW0djYyPx7OJPJJJYuXSpaWlqEEEJkZGSIEydOMO8e6tKlS6KiokKsXr3auaw3c/3DDz+InTt3CiGEOHPmjPjiiy8ey35xWk4vKi8vR2hoKAYMGAClUom4uDgUFRW5OizqIa1Wi4iICACAr68vwsLCYDabUVRUhBkzZgAAZsyY4cx1UVER4uLioFKpYDAYEBoaivLyclgsFjQ3N2PEiBGQyWSYPn063x9uzmQyobi4GImJic5lzLt3aGpqwu+//46EhAQAgFKphL+/P/PvBSRJgs1mg8PhgM1mg1arZd49VHR0tHNU/q7ezPX58+cxc+ZMAMDkyZPx22+/QTyGU105LacXmc1m6PV652O9Xo+ysjIXRkS9zWg0orKyEsOHD8ft27eh1WoBtB0A1NfXA2h7H0RFRTn76HQ6mM1mKBSKDu8Ps9n8eHeAHsq+ffswf/58NDc3O5cx797BaDQiICAAWVlZuH79OiIiIpCSksL8ezidTofZs2djyZIlUKvViImJQUxMDPPuRXoz1/fWhQqFAn5+fmhoaEBAQMAj3QeO3Peizo7GOL/Oc1itVmRkZCAlJQV+fn5dtuvqqPxxHK1T7/n5558RGBjo/NTmQZh3z+JwOFBZWYlnnnkG//nPf9CvXz8cPny4y/bMv2dobGxEUVERMjMzsXPnTlitVhQUFHTZnnn3Hv8k166qCzly34v0ej1MJpPzsclkch79Ud9mt9uRkZGBadOmYdKkSQCAwMBAWCwWaLVaWCwW55H4/e8Ds9kMnU7X6ftDp9M93h2hbrty5QrOnz+PCxcuwGazobm5GVu3bmXevYRer4der3eO1E2ePBmHDx9m/j3cxYsXYTAYnHmdNGkSSktLmXcv0pu5vvucXq+Hw+FAU1NTh2lAjwJH7ntRZGQkqqurYTQaYbfbUVhYiNjYWFeHRT0khEB2djbCwsIwa9Ys5/LY2FicOnUKAHDq1ClMnDjRubywsBCtra0wGo2orq7G8OHDodVq4evri9LSUgghUFBQwPeHG3vjjTeQnZ2NzMxMrFy5EqNHj8by5cuZdy8RFBQEvV6PP//8E0Bb0Tdo0CDm38MFBwejrKwMLS0tEELg4sWLCAsLY969SG/mesKECTh58iQA4Ny5cxg1atRjGbnnl1j1suLiYuTm5kKSJMTHx+PVV191dUjUQyUlJfj4448xZMgQ5y/lvHnzEBUVhU2bNqGurg7BwcFYvXq184j8m2++wYkTJyCXy5GSkoJx48YBACoqKpCVlQWbzYaxY8diwYIFnLrVB1y6dAlHjhxBeno6GhoamHcvce3aNWRnZ8Nut8NgMGDp0qUQQjD/Hu7gwYMoLCyEQqFAeHg4Fi9eDKvVyrx7oM2bN+Py5ctoaGhAYGAgkpOTMXHixF7Ltc1mw/bt21FZWQmNRoOVK1diwIABj3y/WNwTEREREXkITsshIiIiIvIQLO6JiIiIiDwEi3siIiIiIg/B4p6IiIiIyEOwuCciIiIi8hAs7omIvFRmZiby8vJcsm0hBLKyspCamoq1a9f26rqNRiOSk5PhcDgAAOvXr8fx48d7dRtERO6K31BLROQm3n33XdhsNmzbtg0+Pj4AgOPHj+P06dNYv369a4PrZSUlJfj111+xY8cO574SEVHPceSeiMiNOBwOfP/9964O46FJkvRQ7WtraxESEsLCnoiol3HknojIjbz44ov49ttv8eyzz8Lf37/dc0ajEWlpaThw4AAUCgWAtikn06ZNQ2JiIk6ePInjx48jMjISJ0+ehEajwbJly1BdXY2vvvoKra2tmD9/PmbOnOlcZ319PTZs2ICysjIMGzYMaWlpCAkJAQDcuHEDe/bswdWrVxEQEIC5c+ciLi4OQNuUHrVajbq6Oly+fBnvv/8+nnrqqXbxms1m7Nq1CyUlJdBoNHjppZeQlJSE/Px85OTkwG6346233sLs2bORnJzcru/dfRk2bBhOnToFrVaLhQsXYsyYMQDaPuVYtGiRc5sHDx5ETU0Nli9f/revb01NDXbs2IFr165BqVRi9OjRWLVq1UNmiYjIfXHknojIjURERGDUqFE4cuTIP+pfVlaGoUOHYs+ePZg6dSo2b96M8vJybN26FcuWLcOePXtgtVqd7c+cOYPXXnsNOTk5CA8Px9atWwEAVqsVn3zyCaZOnYrdu3djxYoVyMnJQVVVVbu+r7zyCnJzczFy5MgOsWzZsgV6vR47d+7Ee++9hwMHDuDixYtISEjAO++8gxEjRmD//v0dCvt798VgMCAnJwfJycn4/PPP0djY+I9el7vy8vIQExODvXv3YseOHXjuued6tD4iInfD4p6IyM0kJyfj6NGjqK+vf+i+BoMB8fHxkMvliIuLg8lkwpw5c6BSqRATEwOlUomamhpn+/HjxyM6OhoqlQrz5s1DaWkp6urqUFxcjJCQEMTHx0OhUCAiIgKTJk3CuXPnnH0nTpyIkSNHQi6XQ61Wt4ujrq4OJSUlePPNN6FWqxEeHo7ExEQUFBR0e18CAwPxwgsvQKlUIi4uDgMHDkRxcfFDvyb3UiqVqK2thcVigVqt7vSghIioL+O0HCIiNzNkyBBMmDABhw8fRlhY2EP1DQwMdN6/W3AHBQW1W3bvyL1er3fe9/HxgUajgcViQW1tLcrKypCSkuJ83uFwYPr06Z32vZ/FYoFGo4Gvr69zWXBwMCoqKrq9LzqdDjKZzPk4JCQEZrO52/07M3/+fOTl5eHDDz+Ev78/Zs2ahYSEhB6tk4jInbC4JyJyQ8nJyfjggw8wa9Ys57K7J5+2tLTAz88PAHDr1q0ebcdkMjnvW61WNDY2QqvVQq/XIzo6Gh999FGXfe8tvO+n1WrR2NiI5uZmZ4FfV1cHnU7X7djMZjOEEM7t1NXVITY2FgDQr18/2Gw2Z9vuvg5BQUFYvHgxgLYr9mzYsAHR0dEIDQ3tdlxERO6M03KIiNxQaGgonn76aRw9etS5LCAgADqdDqdPn4YkScjPz8fNmzd7tJ0LFy6gpKQEdrsdeXl5iIqKQnBwMCZMmIDq6moUFBTAbrfDbrejvLwcf/zxR7fWGxwcjCeeeAJffvklbDYbrl+/jhMnTmDatGndju327ds4evQo7HY7zp49ixs3bmDcuHEAgPDwcPz444+w2+2oqKjATz/91K11nj171nlAc/eEZbmc/xUSkefgyD0RkZuaM2cOTp8+3W7ZokWLsHv3bhw4cAAJCQkYMWJEj7YxZcoUfP311ygtLUVERITzajO+vr5Yt24dcnNzkZubCyEEhg4dirfffrvb616xYgV27dqFRYsWQaPR4PXXX+9wRZ2/ExUVherqaixcuBBBQUFYvXo1+vfvDwCYO3cutmzZgtTUVERHR2PKlCndOtm2oqIC+/btQ1NTE4KCgpCamgqDwdDtmIiI3J1MCCFcHQQREdG97l4Kc8OGDa4OhYioT+FnkUREREREHoLFPRERERGRh+C0HCIiIiIiD8GReyIiIiIiD8HinoiIiIjIQ7C4JyIiIiLyECzuiYiIiIg8BIt7IiIiIiIPweKeiIiIiMhD/D8nc1ST0tSJbAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#train 10000 times\n", + "for strat in algos:\n", + " strat.sample_bandits(10000)\n", + " \n", + "#test and plot\n", + "for i,strat in enumerate(algos):\n", + " _regret = regret(hidden_prob, strat.choices)\n", + " plt.plot(_regret, label = strategies[i].__name__, lw = 3)\n", + "\n", + "plt.title(\"Total Regret of Bayesian Bandits Strategy vs. Random guessing\")\n", + "plt.xlabel(\"Number of pulls\")\n", + "plt.ylabel(\"Regret after $n$ pulls\");\n", + "plt.legend(loc = \"upper left\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Like we wanted, Bayesian bandits and other strategies have decreasing rates of regret, representing we are achieving optimal choices. To be more scientific so as to remove any possible luck in the above simulation, we should instead look at the *expected total regret*:\n", + "\n", + "$$\\bar{R}_T = E[ R_T ] $$\n", + "\n", + "It can be shown that any *sub-optimal* strategy's expected total regret is bounded below logarithmically. Formally,\n", + "\n", + "$$ E[R_T] = \\Omega \\left( \\;\\log(T)\\; \\right) $$\n", + "\n", + "Thus, any strategy that matches logarithmic-growing regret is said to \"solve\" the Multi-Armed Bandit problem [3].\n", + "\n", + "Using the Law of Large Numbers, we can approximate Bayesian Bandit's expected total regret by performing the same experiment many times (500 times, to be fair):" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#this can be slow, so I recommend NOT running it. \n", + "\n", + "trials = 500\n", + "expected_total_regret = np.zeros((10000, 3))\n", + "\n", + "for i_strat, strat in enumerate(strategies[:-2]):\n", + " for i in range(trials):\n", + " general_strat = GeneralBanditStrat(bandits, strat)\n", + " general_strat.sample_bandits(10000)\n", + " _regret = regret(hidden_prob, general_strat.choices)\n", + " expected_total_regret[:,i_strat] += _regret\n", + " plt.plot(expected_total_regret[:,i_strat]/trials, lw =3, label = strat.__name__)\n", + " \n", + "plt.title(\"Expected Total Regret of Multi-armed Bandit strategies\")\n", + "plt.xlabel(\"Number of pulls\")\n", + "plt.ylabel(\"Exepected Total Regret \\n after $n$ pulls\");\n", + "plt.legend(loc = \"upper left\");" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "[pl1, pl2, pl3] = plt.plot(expected_total_regret[:, [0,1,2]], lw = 3)\n", + "plt.xscale(\"log\")\n", + "plt.legend([pl1, pl2, pl3], \n", + " [\"Upper Credible Bound\", \"Bayesian Bandit\", \"UCB-Bayes\"],\n", + " loc=\"upper left\")\n", + "plt.ylabel(\"Exepected Total Regret \\n after $\\log{n}$ pulls\");\n", + "plt.title( \"log-scale of above\" );\n", + "plt.ylabel(\"Exepected Total Regret \\n after $\\log{n}$ pulls\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Extending the algorithm \n", + "\n", + "\n", + "Because of the Bayesian Bandits algorithm's simplicity, it is easy to extend. Some possibilities:\n", + "\n", + "- If interested in the *minimum* probability (eg: where prizes are a bad thing), simply choose $B = \\text{argmin} \\; X_b$ and proceed.\n", + "\n", + "- Adding learning rates: Suppose the underlying environment may change over time. Technically the standard Bayesian Bandit algorithm would self-update itself (awesome) by noting that what it thought was the best is starting to fail more often. We can motivate the algorithm to learn changing environments quicker by simply adding a *rate* term upon updating:\n", + "\n", + " self.wins[choice] = rate*self.wins[choice] + result\n", + " self.trials[choice] = rate*self.trials[choice] + 1\n", + "\n", + " If `rate < 1`, the algorithm will *forget* its previous wins quicker and there will be a downward pressure towards ignorance. Conversely, setting `rate > 1` implies your algorithm will act more risky, and bet on earlier winners more often and be more resistant to changing environments. \n", + "\n", + "- Hierarchical algorithms: We can setup a Bayesian Bandit algorithm on top of smaller bandit algorithms. Suppose we have $N$ Bayesian Bandit models, each varying in some behavior (for example different `rate` parameters, representing varying sensitivity to changing environments). On top of these $N$ models is another Bayesian Bandit learner that will select a sub-Bayesian Bandit. This chosen Bayesian Bandit will then make an internal choice as to which machine to pull. The super-Bayesian Bandit updates itself depending on whether the sub-Bayesian Bandit was correct or not. \n", + "\n", + "- Extending the rewards, denoted $y_a$ for bandit $a$, to random variables from a distribution $f_{y_a}(y)$ is straightforward. More generally, this problem can be rephrased as \"Find the bandit with the largest expected value\", as playing the bandit with the largest expected value is optimal. In the case above, $f_{y_a}$ was Bernoulli with probability $p_a$, hence the expected value for a bandit is equal to $p_a$, which is why it looks like we are aiming to maximize the probability of winning. If $f$ is not Bernoulli, and it is non-negative, which can be accomplished apriori by shifting the distribution (we assume we know $f$), then the algorithm behaves as before:\n", + "\n", + " For each round, \n", + " \n", + " 1. Sample a random variable $X_b$ from the prior of bandit $b$, for all $b$.\n", + " 2. Select the bandit with largest sample, i.e. select bandit $B = \\text{argmax}\\;\\; X_b$.\n", + " 3. Observe the result,$R \\sim f_{y_a}$, of pulling bandit $B$, and update your prior on bandit $B$.\n", + " 4. Return to 1\n", + "\n", + " The issue is in the sampling of $X_b$ drawing phase. With Beta priors and Bernoulli observations, we have a Beta posterior — this is easy to sample from. But now, with arbitrary distributions $f$, we have a non-trivial posterior. Sampling from these can be difficult.\n", + "\n", + "- There has been some interest in extending the Bayesian Bandit algorithm to commenting systems. Recall in Chapter 4, we developed a ranking algorithm based on the Bayesian lower-bound of the proportion of upvotes to total votes. One problem with this approach is that it will bias the top rankings towards older comments, since older comments naturally have more votes (and hence the lower-bound is tighter to the true proportion). This creates a positive feedback cycle where older comments gain more votes, hence are displayed more often, hence gain more votes, etc. This pushes any new, potentially better comments, towards the bottom. J. Neufeld proposes a system to remedy this that uses a Bayesian Bandit solution.\n", + "\n", + "His proposal is to consider each comment as a Bandit, with the number of pulls equal to the number of votes cast, and number of rewards as the number of upvotes, hence creating a $\\text{Beta}(1+U,1+D)$ posterior. As visitors visit the page, samples are drawn from each bandit/comment, but instead of displaying the comment with the $\\max$ sample, the comments are ranked according to the ranking of their respective samples. From J. Neufeld's blog [7]:\n", + "\n", + " > [The] resulting ranking algorithm is quite straightforward, each new time the comments page is loaded, the score for each comment is sampled from a $\\text{Beta}(1+U,1+D)$, comments are then ranked by this score in descending order... This randomization has a unique benefit in that even untouched comments $(U=1,D=0)$ have some chance of being seen even in threads with 5000+ comments (something that is not happening now), but, at the same time, the user is not likely to be inundated with rating these new comments. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just for fun, though the colors explode, we watch the Bayesian Bandit algorithm learn 15 different options. " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.01316003 0.0470422 0.10278464 0.02769084 0.0282016 0.02893928\n", + " 0.13485387 0.02336669 0.02246445 0.03354184 0.05025746 0.12199161\n", + " 0.01499722 0.01608101 0.12336017 0.03335515 0.0600726 0.05795924\n", + " 0.0643701 0.03606559 0.09241004 0.05762127 0.15399929 0.02956034\n", + " 0.10352865 0.25244598 0.01693866 0.00323096 0.06597221 0.00389394\n", + " 0.13672946 0.17195421 0.06365645 0.06637099 0.01518599]\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.0, 8)\n", + "beta = stats.beta\n", + "hidden_prob = beta.rvs(1,13, size = 35)\n", + "print(hidden_prob)\n", + "bandits = Bandits(hidden_prob)\n", + "bayesian_strat = BayesianStrategy(bandits)\n", + "\n", + "for j,i in enumerate([100, 200, 500, 1300]):\n", + " plt.subplot(2, 2, j+1) \n", + " bayesian_strat.sample_bandits(i)\n", + " plot_priors(bayesian_strat, hidden_prob, lw = 2, alpha = 0.0, plt_vlines=False)\n", + " #plt.legend()\n", + " plt.xlim(0, 0.5)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Eliciting expert prior\n", + "\n", + "Specifying a subjective prior is how practitioners incorporate domain knowledge about the problem into our mathematical framework. Allowing domain knowledge is useful for many reasons:\n", + "\n", + "- Aids speeds of MCMC convergence. For example, if we know the unknown parameter is strictly positive, then we can restrict our attention there, hence saving time that would otherwise be spent exploring negative values.\n", + "- More accurate inference. By weighing prior values near the true unknown value higher, we are narrowing our eventual inference (by making the posterior tighter around the unknown) \n", + "- Express our uncertainty better. See the *Price is Right* problem in Chapter 5.\n", + "\n", + "plus many other reasons. Of course, practitioners of Bayesian methods are not experts in every field, so we must turn to domain experts to craft our priors. We must be careful with how we elicit these priors though. Some things to consider:\n", + "\n", + "1. From experience, I would avoid introducing Betas, Gammas, etc. to non-Bayesian practitioners. Furthermore, non-statisticians can get tripped up by how a continuous probability function can have a value exceeding one.\n", + "\n", + "2. Individuals often neglect the rare *tail-events* and put too much weight around the mean of distribution. \n", + "\n", + "3. Related to above is that almost always individuals will under-emphasize the uncertainty in their guesses.\n", + "\n", + "Eliciting priors from non-technical experts is especially difficult. Rather than introduce the notion of probability distributions, priors, etc. that may scare an expert, there is a much simpler solution. \n", + "\n", + "### Trial roulette method \n", + "\n", + "\n", + "The *trial roulette method* [8] focuses on building a prior distribution by placing counters (think casino chips) on what the expert thinks are possible outcomes. The expert is given $N$ counters (say $N=20$) and is asked to place them on a pre-printed grid, with bins representing intervals. Each column would represent their belief of the probability of getting the corresponding bin result. Each chip would represent an $\\frac{1}{N} = 0.05$ increase in the probability of the outcome being in that interval. For example [9]:\n", + "\n", + "> A student is asked to predict the mark in a future exam. The figure below shows a completed grid for the elicitation of a subjective probability distribution. The horizontal axis of the grid shows the possible bins (or mark intervals) that the student was asked to consider. The numbers in top row record the number of chips per bin. The completed grid (using a total of 20 chips) shows that the student believes there is a 30% chance that the mark will be between 60 and 64.9.\n", + "\n", + "\n", + "\n", + "\n", + "From this, we can fit a distribution that captures the expert's choice. Some reasons in favor of using this technique are:\n", + "\n", + "1. Many questions about the shape of the expert's subjective probability distribution can be answered without the need to pose a long series of questions to the expert - the statistician can simply read off density above or below any given point, or that between any two points.\n", + "\n", + "2. During the elicitation process, the experts can move around the chips if unsatisfied with the way they placed them initially - thus they can be sure of the final result to be submitted.\n", + "\n", + "3. It forces the expert to be coherent in the set of probabilities that are provided. If all the chips are used, the probabilities must sum to one.\n", + "\n", + "4. Graphical methods seem to provide more accurate results, especially for participants with modest levels of statistical sophistication." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Example: Stock Returns\n", + "\n", + "\n", + "Take note stock brokers: you're doing it wrong. When choosing which stocks to pick, an analyst will often look at the *daily return* of the stock. Suppose $S_t$ is the price of the stock on day $t$, then the daily return on day $t$ is :\n", + "\n", + "$$r_t = \\frac{ S_t - S_{t-1} }{ S_{t-1} } $$\n", + "\n", + "The *expected daily return* of a stock is denoted $\\mu = E[ r_t ]$. Obviously, stocks with high expected returns are desirable. Unfortunately, stock returns are so filled with noise that it is very hard to estimate this parameter. Furthermore, the parameter might change over time (consider the rises and falls of AAPL stock), hence it is unwise to use a large historical dataset. \n", + "\n", + "Historically, the expected return has been estimated by using the sample mean. This is a bad idea. As mentioned, the sample mean of a small sized dataset has enormous potential to be very wrong (again, see Chapter 4 for full details). Thus Bayesian inference is the correct procedure here, since we are able to see our uncertainty along with probable values.\n", + "\n", + "For this exercise, we will be examining the daily returns of the AAPL, GOOG, MSFT and AMZN. Before we pull in the data, suppose we ask our a stock fund manager (an expert in finance, but see [10] ), \n", + "\n", + "> What do you think the return profile looks like for each of these companies?\n", + "\n", + "Our stock broker, without needing to know the language of Normal distributions, or priors, or variances, etc. creates four distributions using the trial roulette method above. Suppose they look enough like Normals, so we fit Normals to them. They may look like: " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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wLAOGZQGGARgGYpgDGAasRgW5XgtFQR7U5SXIOX8ODAvOgSIvNwEl+1J1dTXOPvvshF4jFdDnNTPEaxYmSiAIidF1110ndQgxa3ME8VGrC70eDhY/BxnDIF8jR4lOAaWMgUajgT8QQDgiIsgJMPt4WPw8+rwcanp8WDbDgNIcpdTFICnIYDDA4XDAaDTC4XAgNzexN3MkvUV8AVg/+AzOvYcQttgRNtsBQYAi3wBlcQE0ei1YxdBbF1EUIXI8IoEgeLcXvhOt8Dd3wnusGfaP9sJ4+YXIv+oiyDTqhMScCXUAIeNFCQQhMdqyZQvuvfdeqcOYEFEUUdvrxydtLnS4woAIlOqV0CnYYc3/LMNALe9vgTCoZXCHIugd7ObEY8mMPJxVqJGoJCRVLViwALt27cKKFSuwa9cuLFy4UOqQSAoSBQGufYdh3fEZAm3dCJnMkOXooJlSBlmO7ozdkRiGAaNUgFUqoDDkQD2pFBGPD2GzHe6aeoT6bHDtP4qCqy9G3iXn9bdexFE61wGETNSYCcRI0/Jt3rwZBw4cgFwuR0lJCVauXAmdTjfs2J/85CdQq9VgWRYymQxr1qyJfwkIkdiiRYukDmFCIoKIXW1uHDT50OEMIV8jR6FWHlW/YYZhYFDLkauSodfLockeQjjigCPAY9EkfdL6HpPU8vzzz6O+vh4ejwc//vGPceONN2LFihVYt24ddu7cicLCQjz44INSh0lSTNjqgOkf78B3vBmBdhNYhRy6s6dPuMWAYRjIc/WQ5+rB+/wIdvQi3GdDuM8Gb10TSr/3dSgMOXGLP13rAEJiMWYCcdVVV+Haa6/Fhg0bBrd95StfwS233AKZTIZXX30Vb775Jm699dYRj3/iiSeoyZpkNJ/PJ3UI48YLIrafcOCYxY8edxjlOUrkqsffIMkwDMpylLD7ObQ6guAiItyhCJbNMFASkYXuv//+Ebc//vjjyQ2EpA3P0Qb0vv4+/I1t4FweaCaXQW7Mjdv3h1ynhe7saeCdHvhbOsC7PQj1WlBywzXImTcrLtdIxzqAkFiN2Y430rR85557LmQyGQBg9uzZsNvtiYmOkDRw9OhRqUMYF1EUUdXsRL3ZD5OHQ2WeekLJw6nytQpU5KrQ6Q7hkMmHzzs8cYqWEJKJRD4C89sfo/vlN+CuPQaB55Fzziwo8uP/8IFhGCiMudDPm4WIPwB3TT26//IvWLbvgijEPj11utUBhMRDzGMgdu7ciUsvvXTU15955hkAwLJly4bMsHG6bJvCLxumCsuGMgLAj370o7Qq585GKxocEViCAmaX5EKjkI15DMMyUKvP3J1ArQZUKhXa7X4csnKoKJJjwZS8OEWdeNnyeSVEakIojJ7/fQuu6iMItHZBVVYMZUlBwlstWYUc2llT+7sy1TdBCHHgXG6U/sfXhw3MHo+77747jlESkh5iSiDeeOMNyGQyXHHFFSO+/tRTTyE/Px8ulwtPP/00ysvLMXfu3BH3zbYp/LJhqrBsKCMAvPDCC2kzgO5Qrw8fNrvQ5gxhUq4STIRDMMKNeZxarUYwGBxzPwWAQg2Lhl43+HAIkaAXM/ITM/NJvGXL5zVeU/gRMhERfwDdf90Kd009gt290M6aCrlem7TrMwwDVWkhZFo1/E3tEHkeEW8A5bd9a8JjLjZt2pQ2dQAh8TLhqQg+/vhjHDhwAPfdd9+oTw3y8/MB9E/jt3DhQjQ1NU30coSkrIHPeaprcwSxq9WFDmcIpXoF9MqxWx4mIk8th1EjR7szjB1NDpi9YycohJDMx7u96HxxC1z7DiPY0wfdWdOTmjycSp6rh+7s6Qh0mODcU4vOF14D75nYWIZ0qQMIiacJJRC1tbXYtm0bfvWrX0GlUo24TzAYRCAQGPz34cOHMWXKlIlHSkiKWrx4sdQhjMkXjuDDFhc6XWEYNXLkxTjmYSyFWjk0chYdrjA+aHaCi8Tez5gQkr54txedL7wG14E6hK0O6OfMgEwz8v1Dssi0aujnzkDY0j/da9df/oWILzDu86RDHUBIvI2ZQDz//PN47LHH0NPTgx//+MfYuXMnNm3ahGAwiKeeegoPP/wwXnzxRQCA3W7H7373OwCAy+XC448/jocffhiPPPIILrjgApx33nkJLQwhUnjzzTelDuGMRFHEzpPJA8P039wnGsMwKM1RIMSLaHOG8BkNqiYka0V8AXT95V9wHz6OiNsL3ZzpYJUKqcMCALBKBXRnTwfncMF98GQSERi7u+apUr0OICQRGFEURamDGElPT4/UISRUNvS3zoYyAkBdXR3mzZsndRijOtTrwwdNTnS4wphhVEEhG3/DY7RjIE4X5AW0OUOYblThW2fnY3oKj4fIls9ruoyByPQ6AMiOz5xRn4Pa3/8Zruoj4GzO/uRBnnpr2AphDr7jLVAWF8Bw0XxMuvMGsCplVMemeh0QL9nwec2GMsarDojvcoyEZCGTySR1CKOy+jl81u5GlzuM8hzFhJKHWKjlLIq0cnS5w9jZ4oI3HEnq9Qkh0hE4Hs0v/gPug/UIW+zQnTUtJZMH4GRLxFnTEOqzwrW/Dj2v/htiJLrvq1SuAwhJFEogCIlRY2Oj1CGMKCKIqGp2odsdhl4pQ65Kmoo7XyOHjGHQ6Q7hoxYXUrTRkxASR6Ioou+f78O2pxahHjP0Z6dOt6XRsCplfxLR0wfXgaMwb9sZ1fdVqtYBhCQSJRCExChV5wA/1OtDuzMEPyegVC9dxc0wDCpylXAEImi0BdFkH39XKEJIerHv3APHFwfhbemEbva0qLsDSU2mVkE7sxKBlm7Yd1fD8cmBMY9J1TqAkESiBIKQGG3atEnqEIZxhyLY1+WFyRNGWY4SbIIXaBqLnGVQolPA5Anj03Y3wjQrEyEZy3P4BCzv7oa/sR05syoh06bu2KeRyPVaaKaWw9fQBvNbO+GpO3MLQyrWAYQkGiUQhMSotLRU6hCG+bTdDZMnDI2cTdh6D+OVp5ZBBNDj5rC30yt1OISQBAh29cL02rvwNbRBVVYEpdEgdUgTosg3QFmcD19DG0z/ux3BHvOo+6ZiHUBIolECQUiMLrzwQqlDGKLNEcQJSwCOIC9p16XTMQyD8hwl+nxh1Jp8sPhogTlCMgnv9aN787/ha2iFTKeBsqRA6pBioiorgkyjgr+pDab/fXvU6V1TrQ4gJBkogSAkRtu3b5c6hEFcRMAn7R6YvGEUaZM/69JY1HIWeWo5er0cdrW6IdCAakIygigI6H3tHfhOtEDkeWgqy8FI3HUyVgzDQDO1ApFACN5jzeh9/b0RB1WnUh1ASLKk5nxqhKSRpUuXSh3CoIMmH7pcIUSE/tmPUlGRVoEmexBtzv6WkjnFWqlDIknw9ttvY+fOnWAYBpMnT8bKlSuhVKbHwFoyNtuHe/qna+2zQT9vJhg2tR5eTBTDstDNqoS3vhmu/UehnlKGgqsWDdknleoAQpIlM37DCZFQqkzh5w1HUNPjQ5+PQ6lekbJP/2QsgxK9Ar0eDnu7vOBoQHXGs9vtePfdd7FmzRqsXbsWgiDg888/lzosEie+hjZY3/8U/uZOaGdMTvnpWseLVSmhmTYJ/qYOWN7ZDV9T+5DXU6UOICSZKIEgJEbt7e1j75QE1V1e9Pk4aOQsdCkycHo0BlV/fCZPGId6/RJHQ5JBEASEw2FEIhGEw2EYjUapQyJxwLk8ML32DvzN7VCWFECeq5c6pIRQ5OVAWWSEv6kdvVveBe/xDb6WKnUAIclECQQhMUqFOcBtfg5HzX7YfByKdan/9I9h+lsh+nwcDvR44edohepMlp+fj29+85u49957cc8990Cr1eLcc8+VOiwSo/5xD/0zLjEyFqqyIqlDSihVeTEg9re49P7z/cHxEKlQBxCSbKnZSZqQNLJp0ybce++9ksbwRacHZh8Hg1oOlTw9ngvolDKoZSz6vByqu7xYPC09p3skY/N6vaiursaGDRug1Wrxxz/+Ebt378aVV145uE9VVRWqqqoAAGvWrEFhYaFU4SaNXC5P63Ka3v8EoeOtEJ0eGM87G6xi+MMLhmWhVqfXOhBnopw7E85DxxGqb4ZwtBklX70YzzzzDB599FGpQ0u4dP+8RiMbyhgvlEAQEqPKykpJr9/lCqHRFoQryGNmvkbSWMarRK9AqzOII31+fKVUB2OKDvwmsTly5AiKi4uRm5sLAFi0aBEaGhqGJBBLly4dMhjVarUmPc5kKywsTNtyBjpN6Hh9OzzHm6CZNgnhSASIDG9JVKvVCAYza/V55eRSOOub0Px//waXn4PJkyen7fs4Hun8eY1WNpSxvLw8LucZs7beuHEjampqYDAYsHbtWgD9T5PWrVsHi8WCoqIiPPDAA9Drh/d7rK2txcsvvwxBELBkyRKsWLEiLkETkkpmzZol2bVFUcTnnR6YvRwKNArI2dQcOD0alZxFrkoOs4/Dnk4Pvj6b+sVnosLCQjQ2NiIUCkGpVOLIkSOYMWOG1GGRCRJCYfT+4x34mzuhyM+DwpAjdUhJpTDmgnd54G/ugOm1dzDj2kVjH0RIhhmzr8NVV12FRx55ZMi2rVu3Yv78+Vi/fj3mz5+PrVu3DjtOEARs2rQJjzzyCNatW4fPPvsMXV1dcQuckFQx0O1CCq2OEDqdYfg5AQXa9Hx6X6xTwBng0WALwOylxeUy0axZs3DxxRfjV7/6FX7xi19AFEWa+jKNmd/aCe+JVgihMNSTSqQORxLqKWWI+IPwHW/FmxtfkjocQpJuzARi7ty5w1oXqqursXjxYgDA4sWLUV1dPey4pqYmlJaWoqSkBHK5HJdeeumI+xGS7pYvXy7JdQVRxL4uL8y+MIq0crApOm3rWOQsA6NGDouPx94uj9ThkAS58cYb8fzzz2Pt2rX42c9+BsUI/eVJ6vPWN8HxeS1CXX3QzpicMes9jBfDstBOn4xgpwnncqphU7sSkukm9JvvcrkGp+AzGo1wu93D9rHb7Sgo+HIZ+4KCAtjt9gmGSUjqOnDggCTXbbYH0eUOIcSLyEvzsQMFWgXcQR7N9iBMnrDU4RBCRsB7/eh7swqBlk6oyosg02TO4OiJkOk0UJYU4NCxOvS+/j4igcwa60HImSTsrmOk5d7PtLBVts3AkQ0j/bOhjABgNpuTXk5BFHGksQP2EFBh1EGrSeyKvgzLJHwmlRKegZMTUOcQMX9a8j832fJ5JWQiRFGEeduH8De1AywDZUnB2AdlAVVZEezH/PA3tcP81kcou/HrUodESFJMKIEwGAxwOBwwGo1wOByDM2ucqqCgADabbfBnm812xoWDsm0GjmwY6Z8NZQSAO++8M+nlPGbxo7nXiUAojAodm/BZTpIxk0quXESjPYQjXTacnQdMylUl9Hqny5bPa7xm4CDZxVN7HK79RxAyWaCfNzNlV7pPNoZh8B8XX4nQiQ4499RCP3cGcs6ZLXVYhCTchLowLViwALt27QIA7Nq1CwsXLhy2z4wZM2AymWA2m8HzPD7//HMsWLAgtmgJSUGbNm1K6vUigoj93T6YfRyKdIqMqchlLIMCjRwWH4d9nd4RWzEJIcnHu70w//tD+Fu6oJ5cClaV2BbPdPNWaz1UFSUItHTBvG0neK9f6pAISbgxE4jnn38ejz32GHp6evDjH/8YO3fuxIoVK3D48GHcd999OHz48OD0rHa7Hb/73e8AADKZDHfddReeeeYZPPDAA7jkkkswefLkhBaGECkkexrX49YATJ4wIoIIg0qW1GsnWr5GDm9IQJszhE4XjYUgRGqiKKJvaxX8LZ1gFTIoCmmq5dNNNuRDWZwPsAz8Te2wvP2R1CERknBjdmG6//77R9z++OOPD9uWn5+P1atXD/58wQUX4IILLph4dISkgbKysqRdKyKIqOnxwZJhrQ8DZCyDQq0cFj+H/d1eTDYoM66MhKQTT+1xuGvqETbbqevSKIp0OWAYBtppk+Cta4Jz32Ho589Gzjzp1ggiJNGyc/41QuJo9+7dSbtWg62/9YEXRORmWOvDAKNGDl9IQLszhG6akYkQyfAeH8xvfwR/axfUk0rAKmnq3ZHU9PRP4cqqlFBVFJ/syvQhIv6AxJERkjiUQBASo+uvvz4p1xHEzG59GCBjGRSc0gpBCJGG+a2d8Dd3gJVT16UzuWra2YP/VhYXAAzgb+qA+S3qykQyFyUQhMRoYEKBRGu0BdHj7m99yLSxD6fL18jhDQtoc4TQ46ZWCEKSzXOkAa7qowj3WqGZWpGxDyzi4aDpy0XkGIaBZtokBHvMcO49DO+xZgkjIyRxKIEgJEbJWCBREEXs7/bC4udQqM3c1ocBMpZB/snVqff3UCsEIckU8Qdg/vdOBFq7oJpUQrMujcEVHNpVSaZWQV1ejEBrF/q2fgghRA9BSOahBIKQGN19990Jv8bACs3hiIg8dWa3Pgwo0MjhCfNosQfRS2MhCEkay/Zd8Dd3AAwDZVG+1OGkvG/POX/YNmVJASAI8Dd3wPJu8sbJEZIslEAQEqNErwMhiiIOdJ8c+5AFrQ8DZCyDfLUCVj+1QhCSLL6GNjj31CLUY4FmGnVdisa2YweHbRvoyhTq7oXj0xr4WzoliIyQxKEEgpAYnXPOOQk9f6sjhG53GCFehCFLWh8G5GvlcAd5NNuDsPg4qcMhJKMJoTD6tlYh0NYNVVkhZOrkrgafrmbkF4+4XaZVQ1lcgEB7N/rerILA8UmOjJDEoQSCkBjpdLqEnVsURRzo6R/7UKCVg82yp4FylkGeRt7fCkEzMhGSUNYdn8Lf1A6B56EsLZQ6nLShUYw+va2qrAhCMAR/YxtsH36RxKgISSxKIAiJ0d69exN27k5XGJ2uMAKcAKNmzHUfM1KBRgFXgEejLQB7gJ7gEZIIgY4e2D85gGCnCdqpk6jr0jgc7ese9TWGZaGZNgmB9h7YP96LYI85iZERkjiUQBASoxtvvDFh5x5sfdBkX+vDAIWMgUEth83Po4bGQqQtn8+HtWvX4v7778cDDzyAhoYGqUMiJ4l8BH1vfIBgWzeUhfmQ6TRSh5RWls2cd8bX5XotFAUGBNp70PfGBxAFIUmREZI4lEAQEqN33nknIeftcYfR5gzBF87e1ocBBVo5HAEexywBuILUCpGOXn75ZZx33nl4/vnn8eyzz6KiokLqkMhJ9l374DvRiog/AFXFyP35yeg+a28ccx91RQl4lxfe481wfFqThKgISSxKIAiJUTicmClGD/R4YfXxyNfIIWOzs/VhgFLGIkfV3wpx0OSTOhwyTn6/H8eOHcPVV18NAJDL5QkdO0SiFzLbYPvwCwTau/sXjGPptmC8wpHImPswMhk0UysQbO2GdcenCNuciQ+MkATK7seahMTB9773vbifs88bRos9CE+Ix8wC6k4AAIVaOVqdQdSb/VhQroc+w1fjziRmsxm5ubnYuHEj2tvbMX36dNxxxx1Qq9WD+1RVVaGqqgoAsGbNGhQWZv4gXrlcLmk5RVFEw+a3wPdYoC0qgL44/rEwLDvkfc5EX5s9P6oyqkvVgNuHSI8Fvg++QNlPbk2rsSZSf16TIRvKGC+UQBASo82bN+Pee++N6zkP9Phg9fMwauSQZ3nrwwCVnIVOIYP1ZCvEFVNzpQ6JRCkSiaC1tRV33XUXZs2ahZdffhlbt27FTTfdNLjP0qVLsXTp0sGfrVarFKEmVWFhoaTldO6pRV/1IfjNVuScMxvBYDDu11Cr1Qk5byrZfrwWt55zUVT7ysoK4T3aiN4vasDOmgLDhWceP5FKpP68JkM2lLG8vDwu55lwAtHT04N169YN/mw2m3HjjTdi+fLlg9vq6urwhz/8AcXF/X0qFy1ahO9+97sxhEtI6jn//OGrkMbC5ufQZOvv60+tD0MV6RRod4Zw1OzHhRU6aBXUCpEOCgoKUFBQgFmzZgEALr74YmzdulXaoLIc5/LA8s5uBFq7oJlSDkZOv0sTdVZhadT7sgo51JNL4W/tgmX7x9DNngp5DnXnI+lnwglEeXk5nn32WQCAIAj40Y9+hIsuGp6Bz5kzB6tWrZp4hIRkmYHWB4OaWh9Op5az0ChYWH0cDpn8uGRKjtQhkSjk5eWhoKAAPT09KC8vx5EjRzBp0iSpw8paoijCvPVDBNq6wapVUOQbpA4pqygK8sDZnfC3dML81kcov+UbUodEyLjFZbTUkSNHUFpaiqKionicjpC0cvDgwbidyxngccIagCMYQaGWehiOpEjbv7Dc4T4fgjxNh5gu7rrrLqxfvx6/+MUv0NbWhuuvv17qkLKW5/AJuA/WI2yxQ1MZn+4M2eyEtXdc+zMMA01lBcK9Vrj2H4G3vjlBkRGSOHG5Q/nss89w2WWXjfhaQ0MDHn74YRiNRtx2222YPHnyiPtl2wC6bBiokw1lBIA777wzbuXcV98HN8egUK9GTgrNxc6wTMoMhFSrAXsIcPMs2v1yXDY9Py7nzZbPq1SmTp2KNWvWSB1G1ov4AjC/tROB1i6oJ5WAVY6+ijKJzvKzvjLuY1iVEqqKYgRau9G37UNopk+CTK1KQHSEJEbMCQTP8zhw4ABuueWWYa9NmzYNGzduhFqtRk1NDZ599lmsX79+xPNk2wC6bBiokw1lBIC///3vuPvuu2M+jzsUwb5WM/rcAUw3ptbAw1QbCJmnBHocPnzSYMI0HQ+lLPbG1Gz5vMZrAB1JT5Z3diHQ0gXIWCgKjVKHkxHeb6zDTXMvHPdxyuICcDYX/M0dsL67GyXXL0tAdIQkRsy17sGDBzFt2jTk5eUNe02r1Q4+tbzgggsQiUTgdrtjvSQhKUWpVMblPAd7vLD5eOiVsrjcEGcynVIGOcvA7ONwtM8vdTiEpAVfQxuce2oR7DH3r/mQRlOIpjKlbGID0BmGgWZqBUJdvXB8VgN/c2ecIyMkcWK+SzlT9yWn0wlRFAEATU1NEAQBOTk06JFkluuuuy7mc3jDEdSZ/bAHeBRpqUtBNIq0Clj9HGpNPnARGgtByJkIoTD63vwAgdZuqMuKqLtMHF1WOWvCx8q0aihLChBo60bfGzsghLk4RkZI4sSUQIRCIRw+fBiLFi0a3LZjxw7s2LEDALBnzx489NBDePjhh/Hyyy/j/vvvpyceJONs2bIl5nPUnJx5SatgoZJT60M0dEoWLBj0eTnUmQNSh0NISrO8uxu+xnaIkQiUpTTWJ54+aKqL6XhVWRGEMAdfYztsH3wep6gISayYxkCoVCr85S9/GbLtmmuuGfz3tddei2uvvTaWSxCS8k5NoCfCd7L1webnUZlHTwWjxTAMinQK9Pk4HDR5Ma9YC4WMHlAQcjp/Syccn9Yg1NUL3dnT6UFenJ1TUhHT8QzLQjOtAv6Gdth27YP+K7OhmVwWp+gISQx61ElIjHw+X0zH15p8sPg4aBUs1NT6MC56JQsWQJ+XQ72FxkIQcjohzKHvjQ8QaOuCsqQAMm1qzKaWSQJc7N2O5DotFIV5CLZ1o++NDyDykThERkji0N0KITE6evTohI/1cxEc7utvfSiksQ/jxjAMCnUKWHw8Dvb4wAui1CERklJsH3wOX2MbhDAHVRmt1ZQIzXZzXM6jrihBxB+A73gLbDu/iMs5CUkUSiAIiVEsU7jWmnyw+jhoFP0rLJPxy1H2/3/r9YZRb6ZWCEIGBNq6Ydu1D8GOHmimVYBh6TsmEb495/y4nKe/K9Ok/vdt5x4Eu/ricl5CEoG+TQiJ0aZNmyZ0nJ+L4HCvH1Y/zbwUi/6xEPL+VggTtUIQAvR3Xer91w4EWrugLMqHXKeVOqSMte3YwbidS56jg6IgD4HWLvT+633qykRSFiUQhMQoP39iKyEfNPlg8XNQy6n1IVY5yv552Hs91ApBCABYd3wG34lWCMEQVOXFUoeT0QxqTVzPp64oQcRHXZlIaqO7FkJitHjx4nEf4wufbH3w8SjWUetDrAZaIcw+Hgd6vOAi1ApBspe/tQv2XfsQ7OyBZvok6rqUYOeXVcb1fIzs9K5MvXE9PyHxQN8qhMTozTffHPcxB3q+nHmJWh/iY7AVwsuhjlohSJYSQmH0/fP9k12XCqjrUhJ83Ho87ucc7MrU0oXe19+DwPFxvwYhsaA7F0JidOWVV45rf28ogqN9Ptj8PIqo9SFuGIZB8ckZmfpbIWh1apJ9+heMOznrUjnNupQMF5THtwVigHpSCSKBILzHW2B9/9OEXIOQiaIEgpAYmUymce2/v8cLy8lVp2ndh/jSK1mwDGD2cjjcS60QJLv4TrTC8cl+BDtN0FLXpaSx+DwJOS/DstBMn4RgRw/sH++Dv7kjIdchZCLo24WQGDU2Nka9rzvI46jZD5ufo7EPCTDQCmH2cTho8iHEUysEyQ4RXwC9/3of/pYuqEqLINPGd2AvGV2ny56wc8t1WiiLCxBo7UTvP99HJBhK2LUIGQ9KIAiJ0XjWgaju9sLq45GjlEFFrQ8JoVOwULAM+nwcDvXGtko4iR9BEPDLX/4Sa9askTqUjCOKIvq2VsHf2A5AhLK0UOqQskq81oEYjaqsGCIfga+xDZa3PkrotQiJFt3BEBKjaNeBsPk51JsDsPs5GvuQQP0zMilgOdkK4edoHvVU8M4776CiokLqMDKS+2A9XNVHEDJZoJ0+GQzDSB1SVonnOhAjYVgGmumTEezqg+OLg/AcPpHQ6xESDUogCIlRaWlpVPvt6fTC7ONgUMuhlNGvXiLplDKoZSz6vByqu7xSh5P1bDYbampqsGTJEqlDyThhqwPmrR/C39IJ9ZQysCql1CFlnQKtPuHXkGlUUE8qgb+5E31vfADO4Ur4NQk5E3ksB//kJz+BWq0Gy7KQyWTDmqZFUcTLL7+MgwcPQqVSYeXKlZg+fXpMAROSai688MIx9+l2h9FoC8AV5DGzgPomJ0OJXoFWZxBH+vw4t1SHPE1MX3ckBq+88gpuvfVWBAKBUfepqqpCVVUVAGDNmjUoLMz8bjhyuTymcgo8j4aXt4LrMEGVo0dORWnKtT4wLAu1Wi11GAk1t6QiKWVUTS6HxxcE12GC++3dmP3z25M6UD7Wz2s6yIYyxkvMNeoTTzyB3NzcEV87ePAgent7sX79ejQ2NuKll17Cb3/721gvSUhK2b59O+69995RXxdFEV90eNDn41CgVUDOplYFn6lUchY5SjksPg57ujy4dpZR6pCy0oEDB2AwGDB9+nTU1dWNut/SpUuxdOnSwZ+tVmsywpNUYWFhTOW0vLsb5n21CFhsyJk3C6FQ6g2wVavVCAaDUoeRUJ+0nkClzpCUa8knlcBb14TevQeB1wtRsOSSpFwXiP3zmg6yoYzl5eVxOU9CH8nt378fV155JRiGwezZs+Hz+eBwOGA0UkVOMsepNz0jaXGE0O4KwR8WUFFA3QuSqVgnR7M9iBPWAM4v06FET///k+3EiRPYv38/Dh48iHA4jEAggPXr1+O+++6TOrS05mtog+3DPQi0dUE7ayoYuUzqkLLWRZOS17OCVcihnT4J/pZOWN//FNoZU6CZSmOLSPLFnEA888wzAIBly5YNu5Gy2+1DmoIKCgpgt9tHTCCyrfk6G5rJsqGMAPDee+/hkktGfgoUEUQcauyAPSiiwqiDVpOeN7AMy6RlNwQ1gOIIC0dYwCGbgJsrC0bt4pEtn9dku+WWW3DLLbcAAOrq6vDWW29R8hAj3u1F7z/fg7+5A8qSQsj1tNq0lDpdNszOS953hzxXD0VBHvzNnej5v+2o/Nmt9BkgSRdTAvHUU08hPz8fLpcLTz/9NMrLyzF37tzB10VRHHbMaJV3tjVfZ0MzWTaUEQBaW1tHLeehXh+aep3wh8Io17Fp25Sfzt0QDHIRjfYQjnbZUZ0DTM8fORHKls9rvJqviTREQYDptXfgO9EKMICqjFablprJk/wBzeqKUviOt8Df0Ire199FxR3fSbnxLySzxTT6Jj8/HwBgMBiwcOFCNDU1DXm9oKBgSIVss9mo+xLJOKOtA+HnItjb6YXJG0apXklf7hKRsQyKtXL0esP4rMMDXhj+YIMkx7x587Bq1Sqpw0hrtg8+h7v2OMIWO7QzaMrWVJDodSBGwrAMtDOnINRrhbumHvaP9yU9BpLdJpxABIPBwRk1gsEgDh8+jClTpgzZZ8GCBdi9ezdEUURDQwO0Wi0lECTjjLYOxL4uL3q9YShZFnolTdsqJaNGDl4Aut0h1JpocTmSnrzHmmH94DMEWjqhnTEFrILWk0kFiV4HYjSsUgHN9EnwN3fC8u5u+Js7JYmDZKcJd2FyuVx47rnnAACRSASXX345zjvvPOzYsQMAcM011+D8889HTU0N7rvvPiiVSqxcuTI+UROSQiorK4dtM3s5HO71werjMM2opqeEEmMYBmV6Bbo9Yezv9uLsQg30Khp0StIHZ3ehd8u78Dd1QFVaCHmOTuqQyEllOcmZgWkkCkMOIoV5CDR3wPSP7Zjy0+9DYciRLB6SPSacQJSUlODZZ58dtv2aa64Z/DfDMPjhD3840UsQkhZmzZo15GdRFPFpuxt9Xh55GjlUcmp9SAU6pQwaef/icp93enDNzDypQyIkKkIojJ6/vwVfYzsYuQzKUhrsn0omGwokvb6qogS+E63wHm+B6e9vYdL/uxGsgta9IYlFdzaExGhg9rABjbYgWp0heMMRFGmpi0EqKdErYPNzOGb2w+QJSx0OIWMSRRF9b3wAz5EG8E43tNNp3EOq2dfVIun1GYaBdsYUcHYnPIdPwLytasRJbAiJJ0ogCInR8uXLB/8d4gV81uGGyRNGsU4BGS0al1KUMhb5WgV6fRx2tboRoQHVJMXZd+2Dc08tgh090M6qpPUeUtDllbPG3inBWIUculmV8Ld1w/FpDZx7aqUOiWQ4SiAIidGBAwcG//1Fpwdd7jAYAHlqquhTUaFWjiAnoN0ZxEEaUE1SmPdYMyzbd8HX2A7NtEmQadJvLZZscMxikjoEAIBMq4Gmshz+xnaYt30If3OH1CGRDEYJBCEx6u3tBQB0u8M41OuDxcejPIembU1VLMOgLEcJk4fDvi4PnAFe6pAIGSbUa4HpH+/A39gOZXE+FMZcqUMio7D5vVKHMEhZkAd5fi58J9rQs/nfCJltUodEMhQlEITE6O677wYviPi41QWTh0M+DZxOeXqlDDqlDCYvh4/bXNRfmKQU3u1F9ytvwnesGaxSQYvFpTgp1oE4E/WkUjByGbzHm9H91zfBe6illcQf3eUQEqNNmzahpseLTlcIYV5AoZZmv0gHJXoF3MEImmxBHLcEpA6HEAD9My51v/ImPHVNEDgOmumTqDUzxUm1DsRoGIaBdvpkCIEQvEcb0fPqvyFw1NJK4osSCEJiVDxpKqq7vDB5OJTlKMFSZZ8W5CyDEr0CJg+Hzzo88ISogiXSEiMR9Pzv23AfPgHe4eofNM1SNZ3qJhvypQ5hGEbGQju7EmGLA+6Dx9D7+rsQBUHqsEgGoW8mQmLACyJag2p0e8LIVfV3iyHpw6CSQc4y6HSF8E59H3VlIpIRRRF9b34AV/URhHr6oJ09FaycWjPTQZEuNRduYxUK6GZPRbDTBMfnB2He+iF9x5G4oQSCkBjs6fTgi88/QYATUKKnNR/SDcMwqMhVwhmMoK7Xg8N9fqlDIllIFEVY3v4I9l37EWjphHZmJWRqldRhkSjV9LRLHcKoZFo1tDOnINDUCdvHe2F9/1OpQyIZgh5vEDJBna4QDvR4YZh3OSblqqjrUpqSs/2zMnU4AvhM4DApV4kCWgCQJJHtg89hq/oC/qY2aGZMhlyvlTokMg5XTTtb6hDOSJ6jg2b6JPgb22B9n4VMo0b+4oVSh0XSHLVAEDIBQV7Ah80udLvD8LcegUZBv0rpLFclQ45Sjm43h6pmFy0wR5LGvns/LO/uhq+hDZqpFVAYUrM7DBndQVPqtkAMUOTlQD2lHL4TbTD/+0M4vkitgd8k/VALBCHjJIoiPmpxodMVgigCsrBH6pBIHJQb1Kg3BdHqCOKzDg+unErz7seL1WrFhg0b4HQ6wTAMli5diuuuu07qsCTX9+Hn6NtaBd+JFqgnl0JhNEgdEpkAVzA9ZnFTFuRBjETgPd4C/PN9QBBhvOwCqcMiaYoSCELGqabHhzqzH1Y/j2lGFSq+fqPUIZE4kLEMJuUq0e4K40CPFyV6Bc4q1EgdVkaQyWS47bbbMH36dAQCAaxatQpf+cpXMGnSJKlDk4zto71w7/gcvuMtUJeXQFlolDokMkGptg7EmaiKCwCgP4l4YwcgijBefqHEUZF0NOEEIponSnV1dfjDH/6A4uJiAMCiRYvw3e9+N7aICZFQhyuEzzrc6HSFUZ6jhFLG4vN3X8el371b6tBIHGgUMhTrFOh0hbGzxYkCrRyFNB4iZkajEUZj/w2yRqNBRUUF7HZ7ViYQoijCVvUFLO98jGBTJ9QVxVAWpd40oCR6244dxK3nXCR1GFEbTCKOtUAUP4AYEWhMBBm3CScQ0T5RmjNnDlatWhVzoIRIzR2KYEejE52uMIwaOXJU/VO2lkydJXFkJJ6MahkCnIAOVxjvNjhx4zkFtLJ4HJnNZrS2tmLmzJlSh5J0oijCsn0XbFWfw3eiFYaZlRBzaMB0upuRXyx1COOmKi4AAwa+483oEwVEfH4Ufv1KWrSQRG3CCQQ9USLZhIsIeK/BgXZXCCzDoOiU1aaVGroByCQMw6AsR4FWRwitjiB2NDmx/CwjzbIVB8FgEGvXrsUdd9wBrXbo701VVRWqqqoAAGvWrEFhYaEUISaMwHFo27wNnl37EGzqgGHWVKiLCzJ+cS+GZaFWq6UOI6G0SlVallE9pRwqjRrexg64ZQpowKLy+98CIxt5PSO5XJ5xv5eny4YyxktcxkCc6YlSQ0MDHn74YRiNRtx2222YPHnyiOfI9MrjdNnwIc2UMkYEEW8cNqHdKyAYYTCrOAdy9subyc7jhzDrwssljDDxGJZJywpyPE4v4yyFCg0WL5pdERy0ibjmrEJ6OhcDnuexdu1aXHHFFVi0aNGw15cuXYqlS5cO/my1WpMZXkJFAkH0bP433DV1CLR1QztzCkS9BqIgIBgMSh1eQqnV6owv45HeTpxbWCZ1GBOTo4WysgyOoycQ9Pvg7LOg/JZvgFUph+1aWFiYUb+XI8mGMpaXl8flPIwY47KEwWAQTzzxBL7zne8MqxT8fj/Yk08fampq8Morr2D9+vVRnbenpyeWsFJeNnxIM6GMoijio1Y3qru96HaHMS1PNaw7i8dqQk66Vh5RyoabgJHK6Oci6HCFUWlQ4cqpuVg4SS9RdPETr8pjPERRxIYNG6DX63HHHXdEdUym1AFhqwM9r/4bnsMnEOq1Qje7EjJt/+D8bP29yjR9QR9K1Dqpw4gJ7/XD39gOVUUJcubPRsVt34Yif+isYJlQp48lG8oYrzogpo69Yz1R0mq1g0/0LrjgAkQiEbjd7lguSUhS7ev2oqbHi25XCFMMyhH7wjfs2yVBZCQZtAoZynOUg4Pn68y0UvVEnDhxArt378bRo0fx8MMP4+GHH0ZNTY3UYSWc70QrOv7r73DtPYywxQ79nOmDyQPJHJ+1N0odQszkei10c6Yj3GeFa+8htG/4O/zNHVKHRVLYhLswiaKIP//5z6ioqMA3vvGNEfdxOp0wGAxgGAZNTU0QBAE5ObRIDkkPh3t9+LzDg05XCBW5KmgVI/cL5blwkiMjyZSrkoEXFGh3hvBhsxNqOYsZ+ZndnSvezj77bGzZskXqMJJGFEXYd+2DZfsu+BvbwSjk0M+dMWrfcpLewpGI1CHEhUytgn7uDPibO+E+WI+Iz4/ib16NvEvPp+6bZJgJJxADT5SmTJmChx9+GABw8803Dzb9XHPNNdizZw927NgBmUwGpVKJ+++/nz6EJC3Umnz4uNWFdmcIxTrl4IxLI/nKVcuTGBmRQr5GDl4Q0e4M450GB66dlYdZBfQkmQzHe/3o+9cOuA4chb+pA8rifKjKiqjuy2BfmzVP6hDihpHJoJ1ViVBXHzxHGiAEQvC3dKL0hmukDo2kmAknENE8Ubr22mtx7bXXTvQShEhif7cXn7S50eYMoUingFFz5l+Tgx9spXUgskCRVg6IQKsjhHcbHIjMBM4uoiSCfMnX2Ibe19+Dr6EN4T4rNFMnQWGkFc0z3fYTh9NqHYixMAwD9eRSyHQa+BrawHu8CHX3QXfvrYCBZh0k/WglakJOEkUR+7q8+KzDc7LlYezkAQDKZ81NQnREagzDoFivAOPrTyLeb3IgIoiYV0IVarYTwhxsH3wO20d74W/pAERAP28WWCUtQpgNzioslTqEhFDkGyDTaeBv7oSr+iiO+zdBd8m5KFh6KVgF3T5mO/oEEAKAF0R83OpCrcmHTlcYJXoF8tT060GGK9IpwABoc4Swo9kJV4jHxZNzaJ2ILOVv7kDfGx/A19iOYGcPlCWF1GWJZAxWpYTu7OkIdffBcbAePrMV3mPNKL3ha9BUJn9GN5I66A6JZD0/F8E7DU40WgMwecMoz1Eh9wxjHk7X01iPqedeksAISaop1CkgYxm0OoLgIiIcgQiWzTRAKaMVq7NFxBeA5b3dcH5Ri0BrNwSOg3bWVMj11CKVbU5Ye7GwdIrUYSQMw57s0lRaBOfxZoRtToR6rTBeej4Kr7mMZhbLUpRAkKzW5w3jvUYnWhxBuAIRTM1TQz3CVK1ncv6yFYkJjqQ0o0YOpYxBpzuMcESEJxTBtbPykBdFtzeSvkQ+AueeWtg+/AKB9h6EesxQlhZCW1oEhqVWh2y0/KyvSB1CUihydNDPm4lQjxneIyfA2ZzwHD6BgmWXIm/RuWBYeoCSTaimI1lJEEXU9Piwp9ODLncYEUHE9Hz1kBWmo3X44+1Y9O0fJCBKkup0Shmm5anQ6QrhKC/AGeRxxdRczC3SUBeWDCOKIrz1TbC+9yn8zR0IdprAKhXQzZkBmUYldXhEQu831uGmuRdKHUZSMCwL9aRSKPLzEOwwwWW2I2y2wbXvCAqXXQrdnBn03ZclKIEgWccd5FHV7EKTPYhudxgGtQzFucoJ92GXK5RxjpCkE5WcxTSjGiZvGCdsAfjCAtocIXx1eu6oa4eQ9DGQONg/3NOfOHT1QghzUE8ug9ygp5slAmUWru8h06qhPWsqeKcb/tYuhHqtCLR2QTurEoVLL4V29lT63chwlECQrMELImpNPuzv9qLHE4YrGEFFrhJ6ZWxf/rMvWhynCEm6krEMJuWq4AryaHcF4Q1HYPKEcfHkHMwt1tAA6zQk8hF4jpyA45MD/YlDdx8i/gBUZcVQFuVTdyUy6LLKWVKHIAmGYaAwGiA35CBsscPX0Ipgdx/8Te3QzqiE8fILkTN/Fi2gmKEogSAZTxRFtDtD+KTdg253CL1eDpqTqwlPpMvS6Y58/A6tA0EAAAa1HBoFix5PGPWWABwBHvVmP66YmouyHGqpSge8xwdX9RE49xxCsKcPYZMVkUAAqrIiaGdOoX7eZJgPmuoyah2I8WJYFqqSQigL8xE22+A73opgZy98x1ugnlyKvIvPQ+6F82iCgQxDCQTJWKIootMVxv5uL9qdIfR6w+AiIspzYm91ONXkOefG7Vwk/SllLCoNKnhCEXS7w7AHeZg8YcwoUGNBuR6llEikHJGPwNfQCteBOnjrmxC2OBDuswEMoCopgLaAEgcyunNKKqQOISUwMhaqsiIoSwrAWZ0ItHcj0NEDf3MHLO/tRs45s2FYcA60syrp9ykDUAJBMk5E6G9xqOnxocMVgsXPwRcWUKSVI18jj3u/zHDAH9fzkfTHMAxy1XLoVTJY/Tya7UFY/DyabEFMM6pxQbkOk3KV1EdYQmIkAn9LJ7xHG+Gta0Koz4qw1QHe7oYsVwtNZRlkOTp6j8iYAhwndQgphWFZKIvzoSgygnd5EbbYEOwwIdjWA+feQ1AVF0B/zizkzJ8NzbRJlEykKUogSMZwB3nUWwI4bgnA4uNgC/AIcAIKNHKU5yshS1Cf5b62RsxYcGVCzk3SG8swKNYpkK+Rw+bn0OIIwuLj0WQPolinwNwiDeYUa2iwdZLwHh/8Te3wNbbDd7wFYasDnN0FzuHqv+kpNEL9lVlgFbSCNIles92MS8qnSh1GymEYBoq8HCjyciCEOYStDgRaOhFo7oT3RCvsH+2FosgI3expJ/9U0poSaYQSCJLWnEEerY4QWk7OqOQM8nAGeUDsn6d/UgyzK0Vrwdf/I6HnJ+lPzjIo0StRqFXAHuDR6Qyhxx1GuzOELzo9mGxQYZpRhen56rh2r8t2vNuLQHtPf1eK1m4Eu3rBuzzgXV5wLjcYmQyKfAN0syrBatTU2kAm5Ntzzpc6hJTHKhVQlxdDVVYEIRAEZ3fB39wBsbEdvrpmyPNyIDfkQF1RAs20SdBMq4CmsoLGTaQwSiBIWglwAno8YXS7w+hyh2D1cXCHBLhD/a0NOSoZyvRKaBVs0m4G9r/7Og2iJlGRsQyKdAoUauXwhgU4gjz6vGF0ucOoM/uRo5ShRK9ARa4SFblKlOUooRrnwobZSBRF8G4vwr1WBHvMCPWYEezuA2d1gPf4wHt9iHj8iASCkOu1kBtyoCudTus3kLjYduxgVg+iHg+GYSDTaiDTaqCqKIEQDIN3eRDus8Hf0gnf8RbIcnSQ5+gg12uhKDRCPakE6opSqEoLoSwthDyXpk9OBTElELW1tXj55ZchCAKWLFmCFStWDHldFEW8/PLLOHjwIFQqFVauXInp06fHckmSJURRhCcswBngYfVzsPp59Hk5OIM8/JwAXzgCX1hAONKfNOSr5dAbZJJMl6nNzUv6NUl6YxgGOSoZclQyRAQRnnAE7lD/1K8drhDqzCx0Shl0ShZGjRzFOgWKdAoUaOTI08ihS2KCHC9j1RdjEUUREY8PnMsDzuYCZ3eCszkRtjoQNtvAe/yIBIMQfAFEfAFE/AEIHA+5XguZXgv1pBLI9Frqb03izqCmbjcTwTAMZBoVZBoVVKWFEAUBEa8fvMeHkMkCvz8AViGHTKeFTKcBq1VDplFDnqODsjgfygIjFIVGKPINUBhzocjLpXFLSTThBEIQBGzatAmPPfYYCgoKsHr1aixYsACTJk0a3OfgwYPo7e3F+vXr0djYiJdeegm//e1v4xI4SV+iKCIUERHgBPg5AX6uPxnwhCLwhCPwhCJwBnkEOQGhiIgQLyBw8g8XEaGV999cleUooJazks+xP3X+QkmvT9KbjGWQp5YjTy2HIIr9vxNhAWYfh6BLgErGQi1noVYwUMtYqOQMNAoZ8tQy6JUy5Kpk0Kv6/62Rs9AqWWjkLJQyJmUq0mjqi9OZ/72zv/XA4wPv8YJ3eSGEwhDDHIRQGJFgCEIoDCEYQiQQAgOA1agh06khz8uBqqIYrFqVMv8PSOY6v6xS6hAyAsOykOfqIc/VAxX99wpCIISIz4+IPwjO4YYQCAIAWI0KrFoFVqWE7OTfjFIBmVoFea6+vxUjt78lQ6bT9rd66DWQadT93xOnHE8PFSZmwglEU1MTSktLUVJSAgC49NJLUV1dPaRC2L9/P6688kowDIPZs2fD5/PB4XDAaDSOef46c2bPbGMIueBynVZGcWLnOv0wcYQTieLp+wzfLqL/F3Zgu3jybwFi/88iIIgihNP+joj9Mx8JYv9ibQN/FGof3B4fwoIIPiKech0RgjB0X14QwQkiwhERXEREOCJAEAGW6V/pVyNnUahRQCVnwODLG4IQL078f1ycHNr9Pi76TmZ3YRLYCEKcIHUYCZUqZZSd0johQkSQFxHkBDgDEYQiHEQRYFlAJWOhkDFQsMzg33KWgWzg79NunBUyBkoZg9Xl5UkvUzT1xelMr70DgeMgcjzEMA8hzA1+YTEqBWQqFVi1Eoq8XKjK1GBOG4guCgIi/kDiChUHHB8BHwpJHUZCZUMZPzxxGN8/6wKpw0g4qd5LVqsGq1VjYGoDMcxDOPkAgXd7ETbbIYZPzoTFMmAVCjBKORiFAqxSDkbe/4eVy07+WwZGxoKRywEZi1O/KTvUaoQ4DoxSAVZx8ljFwDGyL/+WsUP+Bsv0JyIs27/IJHOylXhgOwOA6f+7f/vJpGXg5/5/nLYNX24b+PcIz0OGPiQ5wwOTk/uVXx+fOmDCCYTdbkdBQcHgzwUFBWhsbBy2T2Fh4ZB97Hb7iAlEVVUVqqqqAABr1qzBXlN4oqGlBabPClEY4UY/ATfDpycPZ3r91OuLJ/9z6t8Dr/cnFOKXScZp/xZEAB4f+IiAyECiIZz8I4ojxDTwCwTI5f1/ThUWgTAHgJM+YTidZtq5MAekv/FMJCYYHEwuM1Vql5GFXM4O+70QAISE/j/9vvz9YJj+1g0Z059UsAwgY6UpXzT1xel1ABMMQwYArAxQywD1COMVQhzEEIeI25fA6BMnwjAp/JmLj2wo45yICnyXWeowEi7V3ksGgJxhAY26/8/pIgIQCAMIQwQQGe08pyQD/GAyIANzalJw8qafYU8mBYPJwEBy0J8AMMyXiQAzeMPPfLkP0P8QdOA+nxncMjRZGHztjBu+PP9YTt3l+mvH3j8KE04gRvoQnd5UHM0+A5YuXYqlS5cO/hwMBicaWlpQq9VpXcaTt/tnfGFoGRnIZSzUMgYqOTvs9ySd6WYsg8+fnjcw0dJpdVTGNCMIQCgiIMQL4CXOb6OpC06vAwxfXZTwuKSm02nh82V2a3s2lPHaLCgjkKHvpShCONktUgxzULLsGe/NxNP+HuPkX/6des8+YzbhBKKgoAA2m23wZ5vNNqxloaCgAFar9Yz7jGblotKJhpYWCgsLh/y/yUTZUEYgO8pJZSSxiKa+OF3lT7+f6LAklw2fOSpj5siGcmZDGeNlwiNHZsyYAZPJBLPZDJ7n8fnnn2PBggVD9lmwYAF2794NURTR0NAArVYbdQJBCCEkM0RTXxBCCEkfE26BkMlkuOuuu/DMM89AEAR89atfxeTJk7Fjxw4AwDXXXIPzzz8fNTU1uO+++6BUKrFy5cq4BU4IISQ9jFZfEEIISU8xrQNxwQUX4IILhs48cM011wz+m2EY/PCHP4zlEoQQQjLASPUFIYSQ9MSIqTSknhBCCCGEEJLSUnL1jFWrVkkdQsJRGTNHNpSTypg50qGc6RBjPGRDOamMmSMbyklljF5KJhCEEEIIIYSQ1EQJBCGEEEIIISRqKZlAnLqYUKaiMmaObCgnlTFzpEM50yHGeMiGclIZM0c2lJPKGD0aRE0IIYQQQgiJWkq2QBBCCCGEEEJSEyUQhBBCCCGEkKjFtJDcRHm9Xqxbtw4WiwVFRUV44IEHoNfrh+23ceNG1NTUwGAwYO3atYPbt2zZgg8//BC5ubkAgJtvvjklFyiKtZzRHi+laGOsra3Fyy+/DEEQsGTJEqxYsQJAar+Xo8U8QBRFvPzyyzh48CBUKhVWrlyJ6dOnR3VsqoiljD/5yU+gVqvBsixkMhnWrFkjQQmiM1Y5u7u7sXHjRrS2tuKmm27Ct771raiPTRWxlFGK9zIb6oFsqAMAqgeoHqB6IFUktR4QJbB582bxzTffFEVRFN98801x8+bNI+5XV1cnNjc3iw8++OCQ7a+99pq4bdu2RIcZs1jLGe3xUoomxkgkIv70pz8Ve3t7RY7jxF/84hdiZ2enKIqp+16eKeYBBw4cEJ955hlREATxxIkT4urVq6M+NhXEUkZRFMWVK1eKLpcr2WGPWzTldDqdYmNjo/i///u/Qz6PmfRejlZGUZTmvcyGeiAb6gBRpHqA6gGqB1JBsusBSbowVVdXY/HixQCAxYsXo7q6esT95s6dm5JPW6IVazmjPV5K0cTY1NSE0tJSlJSUQC6X49JLL03Jspwqmpj379+PK6+8EgzDYPbs2fD5fHA4HGlT3ljKmE6iKafBYMDMmTMhk8nGfWwqiKWMUsmGeiAb6gCA6gGqB1If1QP94lkPSNKFyeVywWg0AgCMRiPcbve4z/H+++9j9+7dmD59On7wgx+kZAUTaznj8f8p0aKJ0W63o6CgYPDngoICNDY2Dv6ciu/lWDEP7FNYWDhkH7vdHtWxqSCWMg6858888wwAYNmyZSk7/V0s70cmvZdjSfZ7mQ31QDbUAQDVA1QPUD2QCpJdDyQsgXjqqafgdDqHbb/ppptiPvc111yD7373uwCA1157DX/729+wcuXKmM87EYksZ6qItYziCDMFMwwDILXey1OdKeax9onm2FQQSxmB/s9Ffn4+XC4Xnn76aZSXl2Pu3LmJCTYGsbwfmfRenkmi3stsqAeyoQ4AqB4YQPXA0H2oHkgdya4HEpZA/PrXvx71NYPBAIfDAaPRCIfDMThwKlp5eXmD/16yZAl+//vfTzTMmCWynLEeHy+xlrGgoAA2m23wZ5vNNvjkIpXey1OdKeZT97FarcP24Xl+zGNTQSxlBID8/HwA/Z+BhQsXoqmpKSUrjmjKmYhjkynWOBP1XmZDPZANdQBA9QBA9cBI+1A9kDqSXQ9IMgZiwYIF2LVrFwBg165dWLhw4biOP7Xv3b59+zB58uS4xhcvsZYz1uOTIZoYZ8yYAZPJBLPZDJ7n8fnnn2PBggUAUve9PFPMAxYsWIDdu3dDFEU0NDRAq9XCaDRGdWwqiKWMwWAQgUAAABAMBnH48GFMmTJFimKMKZb3I5Pey9FI9V5mQz2QDXUAQPUA1QNUD6SCZNcDkqxE7fF4sG7dOlitVhQWFuLBBx+EXq+H3W7HCy+8gNWrVwMAnn/+edTX18Pj8cBgMODGG2/E1Vdfjf/8z/9EW1sbGIZBUVER7rnnnpTMBmMt52jHp5Joy1hTU4O//vWvEAQBX/3qV/Gd73wHAFL6vRwp5h07dgDob3IXRRGbNm3CoUOHoFQqsXLlSsyYMWPUY1PRRMvY19eH5557DgAQiURw+eWXp2wZgbHL6XQ6sWrVKgQCATAMA7VajT/+8Y/QarUZ816OVkaPxyPJe5kN9UA21AEA1QNUD1A9kCqSWQ9IkkAQQgghhBBC0hOtRE0IIYQQQgiJGiUQhBBCCCGEkKhRAkEIIYQQQgiJGiUQhBBCCCGEkKhRAkEIIYQQQgiJGiUQhBBCCCGEkKhRAkEIIYQQQgiJGiUQhBBCCCGEkKhRAkEIIYQQQgiJGiUQhBBCCCGEkKhRAkEIIYQQQgiJGiUQhBBCCCGEkKhRAkFICmEYBq+++qrUYRBCCEkBH3/8MRiGQVdXl9ShEDIEJRAkbTAMc8Y/U6dOBQDYbDbcd999mDZtGlQqFYqKinDFFVfg//7v/wbPdccdd2Dp0qVRXXf+/PmQyWQ4fPhwIoo1hMlkwne/+92EX4cQQtJRb28v1Go1SktLwXHcsNevuuoqMAyDhx56aNhrzz//PBiGwcyZMwe3jVWv7Nq1CwDw5JNPgmEYXH/99cPOO3XqVDz99NNxLOWXLr30UphMJpSXlyfk/IRMFCUQJG2YTKbBP9u2bQMA7Nu3b3BbdXU1AOCGG27A7t278cILL6ChoQHvvfcebr75ZthstnFf8/PPP4fZbMbdd9+NF198Ma7lOVU4HAYAlJaWQq1Wx+VchBCSaf7yl79g+fLlKCgoGKwHTjdlyhT89a9/HfZd+D//8z+orKwcsu3UemXgT1NTE2bOnIlFixZh0aJFg/uq1Wps27YNH3/8cdzLNZJwOAylUonS0lKw7MRv1wRBQCQSiWNkhFACQdJIaWnp4J/8/HwAQFFR0eC2oqIiOJ1O7Nq1C08//TSuueYaVFZW4sILL8TKlSvx05/+dNzXfOGFF/D9738fP/zhD/Hqq6/C7/ePeQzDMPjTn/6EG264ATqdDuXl5fjjH/84bJ/169fjlltugcFgwPe///3B7ad2YTKZTLjpppuQl5cHjUaDq666Cvv37x98faB5e/v27bj88suhVqsTmugQQohUBEHA//zP/+D222/H7bffPup33ZIlS5CTk4M333xzcNunn36Kzs5O/Md//MeQfU+tV0pLS1FSUoKHH34YoVAIW7duHfJAp6KiAjfeeCMefPBBCIIQddwD39NvvfUWLrroIqjVasybNw8ffPDBsH1O/y4fqQvTnj17cOWVV0Kj0cBoNOKWW26B2WwefP3JJ5/EzJkz8dprr+Hss8+GUqnEsWPHoo6XkGhQAkEyil6vR05ODrZt2wafzxfTuRwOB15//XXcfvvtuOiii1BRUYEtW7ZEdexvfvMbXHXVVTh48CB+9atf4Ze//CXeeOONYftccsklqKmpwTPPPDPsHKIoYsWKFTh+/Djefvtt7Nu3DyUlJVi2bBmsVuuQfR966CH88pe/xLFjx7BixYoJl5kQQlLVjh074PP5cN111+G2227Dxx9/jJaWlmH7sSyLu+++G//zP/8zuO3FF1/ELbfcAp1Od8ZrPProo9ixYwf+/e9/o7S0dNjrv//973Hs2DH89a9/HXf8Dz74IB5//HEcPHgQF198Mb71rW+hu7t7yD5jfZf39vbimmuuwaRJk7Bv3z689dZbOHr0KG644YYh+/X09GDjxo145ZVXUF9fP6zlhZCYiYSkoU8++UQEILa2tg577Y033hALCgpEhUIhXnjhheJ9990nfvjhh0P2uf3228UlS5ac8RrPP/+8eN555w3+/Pvf/1685JJLxowNgHjrrbcO2XbzzTeLl1122ZB97rrrrhGP3bx5syiKolhVVSUCEOvq6gZfDwaDYmlpqfib3/xGFEVR/Oijj0QA4t/+9rcx4yKEkHS2YsUK8f777x/8+etf/7q4evXqIfssXrxYvPvuu8Wenh5RoVCITU1NosPhEDUajXjgwAHxiSeeEGfMmDHi+Tdv3iyyLCtu3bp12GunHrdq1SqxrKxM9Hq9oiiKYmVlpfjUU0+NGvfA9/RLL700uI3jOHHKlCnio48+OmSf07/LB7Z3dnaKoiiKjz32mFhRUSGGQqHBfWpra0UA4q5duwZjZRhGbG9vHzUmQmJFLRAk41x//fXo7u7Ge++9hxtuuAH19fVYsmQJfvKTn4zrPC+++CJuv/32wZ9vu+027Nu3D0ePHh3z2EsuuWTIz5dddhnq6+uHbLvooovOeI66ujoUFBRg7ty5g9tUKhUWLVqEurq6cZ2LEELSmclkwttvvz3kO/mOO+7Ayy+/DJ7nh+1fVlaG6667Dps2bcLf/vY3zJkzBxdccMGo59+zZw9++MMf4ne/+x2+/e1vnzGWRx55BJFIBL///e/HVYZT6wW5XI6LLrpoQvXCxRdfDKVSObjt3HPPhcFgGFIvlJSUYMqUKeOKj5DxoASCZCSVSoWrr74aq1evxgcffICnnnoKGzduRFtbW1THf/rpp6ivr8dDDz0EuVwOuVyOyZMnIxKJTGiMgSiKw7aN1ZQO9I+JGOlcp2+P5lyEEJKuNm3aBJ7nsWDBgsHv5FtuuQW9vb3497//PeIx99xzD15++WW88MILuOeee0Y9d0dHB1asWIGbbroJv/zlL8eMJScnB0899RSee+65mKZXjWe9cPp2qhNIolECQbLCnDlzAAAWiyWq/V944QUsW7YMhw4dQm1t7eCfP/3pT9i8eTMCgcAZj9+zZ8+Qn7/44ovBGKI1b948WK3WIU+oQqEQ9u3bh3nz5o3rXIQQkq4EQcBLL72ERx55ZMj3cW1tLW699dZRH+pce+21UKlUaG9vxy233DLiPj6fD9/61rcwa9ascT0cuvvuuzFz5kysXr066mNOrRd4nkd1dfWE6oUvvvhiyAxThw4dgsvlonqBJJVc6gAIiSebzYYbbrgBd955J84991zk5eXh6NGjWL16NaZNm4bzzjtvcF+v14va2tohx6vVahQXF+Of//wnXnzxRZxzzjlDXp82bRpWrVqF119/HT/4wQ9GjePtt9/Gf/3Xf+FrX/sa3nvvPbz22mv4xz/+Ma6yXH311bjoootwyy23YMOGDTAYDHjqqacQDAZx7733jutchBCSrt577z10dHTgRz/60bBuOXfeeSeWLVuGtra2wbWABrAsiyNHjkAQBOTk5Aw7ryiK+P73v4/e3l68+uqrsNvtw/bR6/XQ6/XDtstkMqxduxZf+9rXhnQnOpM1a9agtLQU06ZNwx//+Ef09fWN+7v8pz/9Kf70pz/hjjvuwCOPPAKn04mVK1fi8ssvxxVXXDGucxESC2qBIBlFr9fj0ksvxYYNG3D11Vdjzpw5uO+++3D11Vdj165dUCgUg/vu3bsX559//pA/K1aswF//+leIojhiP1idTofly5eP+aTq8ccfR1VVFc4991z89re/xe9+97txLxDHMAy2bt2Ks88+G8uXL8fChQvR29uLDz74AIWFheM6FyGEpKsXXngBixYtGrFP/+LFi1FUVISXXnppxGNzcnJgMBhGfK2jowPbtm1DX18f5s+fj7KysmF/nnvuuVHjWrZsGa677jqEQqGoyvHcc8/h17/+Nc477zx89tln2LZtGyZNmhTVsQNKSkqwY8cOdHV1YeHChfjGN76Bc845B//617/GdR5CYsWII3XCI4RMGMMw2Lx5M2699VapQyGEECKxjz/+GF/96lfR2dk57oSBkFRFLRCEEEIIIYSQqFECQQghhBBCCIkadWEihBBCCCGERI1aIAghhBBCCCFRowSCEEIIIYQQErWUXQeip6dH6hASqrCwEFarVeowEiobyghkRzmpjJmjvLxc6hCikul1AJAdnzkqY+bIhnJmQxnjVQfENYEQBAGrVq1Cfn4+Vq1aBa/Xi3Xr1sFisaCoqAgPPPDAiAuyEEIISW9WqxUbNmyA0+kEwzBYunQprrvuOqoHCCEkA8W1C9M777yDioqKwZ+3bt2K+fPnY/369Zg/fz62bt0az8sRQghJETKZDLfddhvWrVuHZ555Bu+//z66urqoHiCEkAwUtwTCZrOhpqYGS5YsGdxWXV2NxYsXA+hfLbK6ujpelyOEEJJCjEYjpk+fDgDQaDSoqKiA3W6neoAQQjJQ3LowvfLKK7j11lsRCAQGt7lcLhiNRgD9lYvb7Y7X5QiJWjDAoafdhYqpeVCpU3bYDyEZw2w2o7W1FTNnzoy6HqiqqkJVVRUAYM2aNSgsLExavFKRy+UZX04qY+JFIjyOtO2DJ+CCRqmFWqlFjjYPU4pmgmGYuF1H6nImQzaUMV7icjd14MABGAwGTJ8+HXV1dRM6R7ZVHtnwIU2FMvJ8BJ/tb4Cl1w1RkGPRlTPjfo1PP/0Ul19+edzPm0pS4b1MtGwoYzIEg0GsXbsWd9xxB7RabdTHLV26FEuXLh38OdMHMgLZMWAzG8pYV1eHefPmSXJtu9eMT+q3o9PahEDIBxkrg4yVQ63UYlb5V3DF3OVQyJRxuVY2vJfZUMaUGkR94sQJ7N+/HwcPHkQ4HEYgEMD69ethMBjgcDhgNBrhcDiQm5s76jmyrfLIhg+p1GUURRF1NSa0N9vhsgfA82HkFythLIz+piYa1dXVOPvss+N6zlQj9XuZDNlQRiCxszDxPI+1a9fiiiuuwKJFiwBgXPUAIemopqYm6QmEIAqo79yPA00fw+ToQCDsh0GXD0GIgOP8sHp6EeQC8AZdWDL/O9Cp6feOxFdcEohbbrkFt9xyC4D+TPytt97Cfffdh82bN2PXrl1YsWIFdu3ahYULF8bjcoREpa3Rhu42JzzOIDQ6BdyuEJqPWXDh5VPi2qx73XXXxe1chKQrURTx5z//GRUVFfjGN74xuH3BggVUD5CMJkUdUN24EzUtn6DX0QGtKgeVRbPAsrLB1418EN22NoT5EIJhP5Z85TsoyClNepwkcyV0IbkVK1bg8OHDuO+++3D48GGsWLEikZcjZJDF5EHzMSscNj8MBRoYjBqEQzzsFj/6ejxxvdaWLVviej5C0tGJEyewe/duHD16FA8//DAefvhh1NTUUD1AMl6y64AuWwuOtO9Fj70NRYZylORNGpI8AIBSrsaUopkIhn1o6j2KqkP/RIgLjHJGQsYv7iNK582bN9iUl5OTg8cffzzelyDkjERRxIkjfXBYfdDlqKDWKAAAOQY13M4AWo9bUVSqh0wWn/x5oKsGIdns7LPPHvVGiuoBksmSWQcEwn58duwdmBztMOqLoFcbRt1XxsoxqWA6umwtMDk6UN30MS6f8/WkxUoyW0JbIAiRgscZRMDHQRAAXc6Xg8c0OgUEQYTTHkB3mzNu1/P5fHE7FyGEkPSSrDpAFEV8cfw9dNvbAABGXdGYxzAMi5K8SbB5+nC8qwY9J48lJFaUQJCM47QHEAryUKpkQ8Y6MAyDnDw13M4gOprtEEUxLtc7evRoXM5DCCEk/SSrDmjsOYxG0xE4vGaU5kU/lk8pVyNPV4g+Zye+OPE++AiX4EhJNqAEgmQch82PUIgfcc0HlVoOiCICfg5edygu17v77rvjch5CCCHpJxl1QCDsx97GD2FytKPIUAGFfHxTs+bri8FHOHTb21Db+lmCoiTZhBIIklEEQYTLHkA4xEM5QgLBMAwUKjnCoQjcjmBcrrlp06a4nIcQQkj6SUYdUNdRDZunFwqZErka47iPZxgGJXmTYXH14HDbF7B7zQmIkmQTSiBIRvE4gwgGeLAsO+ogaaVKhnCIh8sZnxkp8vPz43IeQggh6SfRdUCIC+B41wHYveaYpmJVK7XI0eTB5unDkbY9cYyQZCNKIEhGcdj8CAdH7r40QHmyBcJlj08CsXjx4richxBCSPpJdB1Q33kANm8flHI11MrYFkI16ovg8tvR3FcPT8AZnwBJVqIEgmQUp+3kAOozJBByBQshIsDv5RAK8jFf880334z5HIQQQtJTIuuAMB9Cfdd+2D1mFOiLYz6fQqaEXp0Lp9eCus7qOERIshUlECRjCIIIl+Pk+AeVbNT9vhwHwcPtiL0V4sorr4z5HIQQQtJTIuuAY101sHn6IJcpoFHp43JOo74YDp8VDd2HEAj743JOkn0ogSAZw+0IIBTgIZOPPv5hgFIpAxeOwBWHgdQmkynmcxBCCElPiaoDuEgY9R3VsHv6UJBTErfzqhRqqBVaOLwWnOiuidt5SXahBIJkDKctgFCIh1I19gLrgwOp49AC0djYGPM5CCGEpKdE1QEN3Ydg9fSCZWTQKOPT+jAgX18Eu8+CY5014CLhuJ6bZAdKIEjGGBhAfabxDwMUKjm4cAQeVxCRiBDTdWkdCEIIyV6JqANEUURDzyE4fVbk64ujXjQuWmqlDjJGBqunD409R+J6bpIdKIEgGSESEeA+Of5BdYbxDwNYloFMziIcjMDjim1BOVoHghBCslci6oA+Vxcs7h6E+RB06ty4n59hGOTnFMPhNeNY1wGIohj3a5DMRgkEyQhuRxDBYP/4B3aM8Q8DlHEaSF1aOvF5uQkhhKS3RNQBjT2H4fLZYdDmx731YYBOlQte4GB196LP1ZWQa5DMRQkEyQhuZwDhUCSq8Q8DFCoZwuHYx0FceOGFMR1PCCEkfcW7DghxQbSaj8EdsCNXm7hF6hiGQa7GCLffjiYTdWMi40MJBMkIXncYfDgChXLs7ksDlCo5wsH+mZhiab7dvn37hI8lhBCS3uJdB7T21cPls0Ml10ApV8X13KfL1ebDHXCgte84OD627rwku1ACQTKCzxMCx0UgV0T/kZbJ+puFg34OAR834WsvXbp0wscSQghJb/GuAxpMh+Hy25GrS1zrwwClXAWlXAWX34Y284mEX49kDkogSNoTBBF+bxg8L0ChiL4Fon9Budinc6VpXAkhJHvFsw6wunvR5+xCiAtArzbE7bxnkqvN7+/G1Hs0KdcjmYESCJL2/N4wuHAEMhkLhh3fYLOBBeW87ok33ba3t0/4WEIIIektnnVA48nWhxxNHlgmObdoOWoD/CEfeuxtcPsdSbkmSX+UQJC05/WEwHPCuLovDZArZOA5AX7vxBfSoXUgCCEke8WrDuAjPJp76+D222HQFsTlnNFgWRn0mly4/Q4aTE2iRgkESXs+d//4h/F0XxogV8rAcxF4PRNvgaB1IAghJHvFqw7otrfA7bdDxsqhUqjjcs5o5Wry4TrZjUkQY1tclWQHSiBI2vN5wv0DqMcxA9MAmYxBRBARCvDgwpEJXb+ysnJCxxFCCEl/8aoDWvrq4Qk4kaPJi8v5xkOj1EEUBdi9Zpgc1C2XjC36SfPHEA6H8cQTT4DneUQiEVx88cW48cYb4fV6sW7dOlgsFhQVFeGBBx6AXq+P12UJgc8TAh8WoMgbfz7MMAwUiv5xED5PCHkF2nGfY9asWeM+hpBMtHHjRtTU1MBgMGDt2rUAgC1btuDDDz9Ebm7/aro333wzLrjgAinDJCSu4lEHcHwIXdZmeIMuTCmaHYeoxodhGORojfD4nWjrO46K/GlJj4Gkl7glEAqFAk888QTUajV4nsfjjz+O8847D/v27cP8+fOxYsUKbN26FVu3bsWtt94ar8uSLMdxEQT8HARBgEw+sQY1uYIFz0fg84YnlEBUVVVREkEIgKuuugrXXnstNmzYMGT78uXL8a1vfUuiqAhJrHjUAR3WJrj9DijlaihkyjhFNj456jx021vQbmnAxWctg4yN2y0iyUBx68LEMAzU6v4+e5FIBJFIBAzDoLq6GosXLwYALF68GNXV1fG6JCGD4x9kChkYZnwzMA2QK2TgwwJ8nokNpF6+fPmEjiMk08ydO5damEnWiUcd0Np3HG6Jui8NUCnUYBkZXH47euzUjYmcWVzTS0EQ8Ktf/Qq9vb342te+hlmzZsHlcsFoNAIAjEYj3G73iMdWVVWhqqoKALBmzRoUFhbGM7SUI5fLqYxx4HVYwDJyaLWqwQR2vESBhccZAISJxbtt27aM75JBn1cSi/fffx+7d+/G9OnT8YMf/GDEJCPb6gAgOz5z2VDGWOuAYNgPq68bQd6HycXTIJcp4hjd+BQYihHkfbAFunB+4aIhr2XDe5kNZYyXuCYQLMvi2Wefhc/nw3PPPYeOjo6oj126dOmQ1RytVms8Q0s5hYWFVMY46O4yw+8NgJWzCAaDEzqHIAgI+EMw99phsVjG3ZLR09ND72UGyIYyAkB5eXlSr3fNNdfgu9/9LgDgtddew9/+9jesXLly2H7ZVgcA2fGZy4YyxloHNPQcgsXRCwWrBM9FwHMTm9AjHlQyLSzOZtS1HMQ55ZdBLvvyNjEb3stsKGO86oCEzMKk0+kwd+5c1NbWwmAwwOHoX5jE4XAMDqQjJB58noEpXCf+UWZlDERRRCgYmdBMTLQOBCGjy8vLA8uyYFkWS5YsQXNzs9QhERJXsdYBrX3HT86+ZIxTRBOnlKsgY+Vw++3osbdKHQ5JYXFLINxuN3w+H4D+GZmOHDmCiooKLFiwALt27QIA7Nq1CwsXLozXJUmWE0UxpilcBzAMc3JBuciExkHQOhCEjG7gARIA7Nu3D5MnT5YwGkLiL5Y6wB/yosfeCn/IC706NR6w5mjy4A460Wo+LnUoJIXFrQuTw+HAhg0bIAgCRFHEJZdcggsvvBCzZ8/GunXrsHPnThQWFuLBBx+M1yVJlgsFeYSDPAAGLDuxAdQD5Ar2ZAIRgrFwfDMx0QxMhPR7/vnnUV9fD4/Hgx//+Me48cYbUVdXh7a2NjAMg6KiItxzzz1Sh0lIXMVSB7RbGuAJuqBR6VJm1qMctQEd1iZ0WpvARzhJx2SQ1BW3T2tlZSX+8Ic/DNuek5ODxx9/PF6XIWTQlytQsxOegWmAXCEDx01sJqaysrKYrk1Iprj//vuHbbv66quTHwghSRRLHdBmPtl9SZ0Xv4BipJCroJAp4fbb0WVrwdTis6QOiaQgWomapC2vJwyeEyBXTLz70gCF8mQXJm9o3Mfu3r075usTQghJTxOtAwJhH3odHQikUPelAXqNAZ6AE63mY1KHQlIUJRAkbQ0OoI5h/MMAuYIFd3IMhCiK4zr2+uuvj/n6hBBC0tNE64AOSyO8QTc0Sj1YNvZ6LJ5y1HnwBl3osraAj3BSh0NSECUQJG35PCHwXATyGGZgGtA/hoJBOMQjHBrfTEwDkwQQQgjJPhOtA/rHPzih1xjiHFHsFHIlFDIVPAEneuxtUodDUhAlECQtiaIInzcMPhyfLkz9MzGx4DkBXvf4ujHZ7faYr08IISQ9TaQOCHEB9Njb4A96Uq770gC92gBv0Ik2ywmpQyEpiBIIkpYCPg48J4CRxT4D0wCFQgYuHIHfO76B1LQOBCGEZK+J1AEd1iZ4gy6oldqUmX3pdHpNLrxBNzqtzYgIvNThkBRDCQRJS35vGHw4EpfWhwEDLRA+z/haIGgdCEIIyV4TqQM6LA3wBFzQp9DsS6dTytVgGRncfjt6HR1Sh0NSDCUQJC35vCFwvBCX8Q8D+qdyHf9icuecc07cYiCEEJJexlsHcHwI3bZW+ELulO2+NECvMcAbcKHd0ih1KCTFUAJB0pLfy50cQB2/FgjFwGJy3vHNxKTT6eIWAyGEkPQy3jqg09YCT8AJlVyd8ou05agN8AZd6LA2QhAEqcMhKYQSCJKWfN4QeE6AQh6/jzArYwGGARfiEQpG399z7969cYuBEEJIehlvHdBuOQFP0AW9OvVmXzqdUq4GwMDls8Fkb5c6HJJCKIEgaUcUxVNaIOL7EVacsh5EtG688ca4xkAIISR9jKcO4CMcuqwt8KVJAsEwDPSaXHgCTjSb6qUOh6QQSiBI2gkFeXAhHmCY/laDOJIrZOA5YVwzMb3zzjtxjYEQQkj6GE8d0G1vhSfghEKmgkKuTGBU8TOwqFyL6di4F1olmYsSCJJ2fJ4weF6AIs6tD8DJmZj48SUQ4fD4Bl0TQgjJHOOpAwYXj0uD1ocBKoUGgijA5umD1W2SOhySIiiBIGnH7w2Di/MA6gH9LRAR+LzRT+X6ve99L+5xEEIISQ/R1gERgUentRm+oBt6TWrPvnQqhmGgVxvg9jtpNiYyiBIIknb83jB4Lr5TuA4YWAvCP46ZmDZv3hz3OAghhKSHaOuAXkcH3H47WEZ2cnBy+uhPIBxot5ygbkwEACUQJA35vOH+AdRxnIFpAMsyEEURoWAEXDgS1THnn39+3OMghBCSHqKtA9otjfAGXdBr0qf70gCNUgc+Eobda4bDZ5E6HJICKIEgaaV/BqbQyRaI+HdhYhjmy25M41xQjhBCCBmJIArosDbCG3AhJ43GPwxgGAY5GiO8ASc6LA1Sh0NSACUQJK1w4QhCwQhEUQQrYxJyDfnJBeWiHUh98ODBhMRBCCEk9UVTB5hd3XD5bACQdt2XBuRq8+AJutBmpgSCUAJB0ox/oPuSQgaGSVQC0T+Vqy/KBOK2225LSByEEEJSXzR1QIeloX/xOI0hYXVXomnVOeD4EKxuE1x+u9ThEIlRAkHSit8bBs/HfwG5U305lWt0MzG99tprCYuFEEJIahurDhBFEe3mBngD6TV96+lYhoVOlQtv0EXdmAglECS9+DzhhI1/GCBXyMCFI1G3QCiV6bEYECGEkPgbqw6wefrg8FkhCALUCm2SokoMvcYAb9CFdurGlPXkUgdAyHj4ff0JhFaVuI+uTMZAEEWEAjy4cAQK5ZmTleuuuy5hsRCSTjZu3IiamhoYDAasXbsWAOD1erFu3TpYLBYUFRXhgQcegF6vlzhSQuJnrDqgzXyiv/VBk5u23ZcGaFU56HV0wuzqhjfohl6dPutZkPiKWwuE1WrFb37zGzzwwAN48MEHB5d293q9eOqpp3DffffhqaeegtfrjdclSRbqb4FIbBemU2diimYg9ZYtWxIWCyHp5KqrrsIjjzwyZNvWrVsxf/58rF+/HvPnz8fWrVulCY6QBDlTHSCKItotx/vHP6jzkhdUgrAMC61KDw91Y8p6cbsLk8lkuO2227Bu3To888wzeP/999HV1UWVB4kbnosgGOAQiYiQJWANiFPJ5Sw4TohqRepFixYlNBZC0sXcuXOHtS5UV1dj8eLFAIDFixejurpaitAISZgz1QF2bx/sHjP4CAeNUpfEqBJHrzHAG3CizXxC6lCIhOJ2F2Y0GjF9+nQAgEajQUVFBex2O1UeJG5OXYE60c3AX07lyo25r8/nS2gshKQzl8sFo9EIoL+ecLvdEkdESHydqQ5oM5+AJ+BEThrPvnQ6vSoXgbAPvY4O+EMeqcMhEklIR3Kz2YzW1lbMnDkz6sqjqqoKVVVVAIA1a9agsLAwEaGlDLlcTmUcp4DHBpaVQ6NVQa1O7DzaQoSBzx0EIyrGLEN9fT2uv/76hMYjNfq8kkTLtjoAyI7PXDaUcbQ6QBRFmA91IsD7UGqcnPB6K9FYlh0sg0FvRFgIwBHqxZSKaRJHFj/Z8HmNl7gnEMFgEGvXrsUdd9wBrTb62QaWLl2KpUuXDv5stVrjHVpKKSwspDKOU3enBT6vHwzLIBgMxu28IxGECAL+MMy99jHLcOedd9J7mQGyoYwAUF5entTrGQwGOBwOGI1GOBwO5OaOPOgy2+oAIDs+c9lQxtHqAJunD13mVgRDAbCiPOH1VqKp1erBMqjlethcZtQ27kVF7iyJI4ufbPi8xqsOiGtHcp7nsXbtWlxxxRWDfQIHKg8AZ6w8CBmLzxMCzwlQJHAK1wEyOYtIREDAz4HnhTPuu2nTpoTHQ0i6WrBgAXbt2gUA2LVrFxYuXChxRITE12h1QLv5BDwBF/TqzOm+NECnykEg7EOfoxPeIHVLzEZxSyBEUcSf//xnVFRU4Bvf+Mbgdqo8SLx43SFw4QjkY0yrGg/9MzENLCh35pmY8vPzEx4PIeng+eefx2OPPYaenh78+Mc/xs6dO7FixQocPnwY9913Hw4fPowVK1ZIHSYhcTVSHSCKItosA+Mf8pIfVIKxrAxaVQ48QSfaaTB1VopbF6YTJ05g9+7dmDJlCh5++GEAwM0334wVK1Zg3bp12LlzJwoLC/Hggw/G65Iki4RDPIIBHqIoQiZLzpOcgalcfZ4QcvNG77s6MEkAIdnu/vvvH3H7448/ntxACEmikeoAu9cMm6cvo2ZfOl2OJg8uvx1t5uOYN4UeDmebuCUQZ5999qhzIVPlQWLldYdOrv8gS1pTcP9MTAJ8njO3QLz55pu49957kxITIYSQ1DJSHdB+cvalTOy+NECnykWfsxO9zk54Ay7oNQapQyJJlNjJ9AmJE58nHNWq0PGkUMjAhSPwus+8FsSVV16ZpIgIIYSkmtPrgIHuS96T07dmKpZloVPlwhtwoc1C3ZiyDSUQJC0MDKBO5ArUp1MoBxKIIERRHHU/k8mUtJgIIYSkltPrAJunF1Z3L7gIB41SP8pRmUGvyYMnSIvKZSNKIEha8LpD4LjktkCwMgYigFCQRzgUGXW/xsbGpMVECCEktZxeBzT31sETcCBHk5ex3ZcG6NQ5CIYD6HN2wh1wSB0OSSJKIEjKE0XxZAtE/xiIZGEYBgoF298K4Rp9/u677747aTERQghJLafWAYIQQav5ONx+B3I1RgmjSg6WYaFT58ITcKKlt17qcEgSUQJBUp7fxyEcjoBhGbBscp/myJUycJwAr2f0cRC0DgQhhGSvU+uAHkc7HF4LwDBQKTQSRpU8uZo8uP0OtPTVn7G7L8kslECQlOdzn1xALondlwYoFDLw4Qi87tFnYiotLU1iRIQQQlLJqXVAS189PIH+1odM7740QKvKARcJw+ruhcXdI3U4JEkogSApz+sJgQ8nt/vSgFMHUo/mwgsvTGJEhBBCUslAHcBFwmg3N8ATcCI3AxePGw3DMMjVGOH229HcWyd1OCRJKIEgKc/nOTmAOokzMA34cjVqDhFeGHGf7du3JzkqQgghqWKgDuiwNMLtt0MhV0EhV0kcVXLlao3wBJxo6zuOiMBLHQ5JAkogSMrrn4FJgFyCLkwMw0CuYMGdXJF6JEuXLk1yVIQQQlLFQB3Q0lcPdyA7Bk+fTqXQgGVYOH1WdNtapQ6HJAElECSl8byAgK//6b9cLs3HVT7GgnI0jSshhGSvxsZGBMI+dFtb4Au6kaPOkzokSeRojXAHHNSNKUtQAkFS2sAAarmClWxAmkI5MJB65ASivb09yRERQghJFe3t7WjprYc74IRGqYdMJpc6JEnkaozwBF3osDYhxAWkDockGCUQJKUNjn+QoPvSAMXJLkyjTeVK60AQQkj2uuuuu9DQcxguvw0Gbb7U4UhGLlNArdDC7bfTytRZgBIIktK8nrBkMzAN6F8Lon8q15HmuKZ1IAghJHv96b/+CIu7G2E+BJ06V+pwJDUwG1Njz2GpQyEJRgkESWn9A6ilmYFpgEzGggGDcIhHwM8Ne72yslKCqAghhKQCRsvB5etvfciWtR9Go9cYEOT8MDk7YHX3Sh0OSSBKIEjKEkURXncQHBeRZAamUw2sB+EbYRzErFmzJIiIEEKI1EJcABG1D+6AM6u7Lw1gGRa5mnw4fTac6D4odTgkgSiBICnL6w4hFODBsixkMmk/qnKlDDwXgWeEBKKqqkqCiAghhEitubcOh6rroFJosm7th9EYdPn9i8r11SHEjb4IK0lvlECQlOV2BBEOR6BUSdv6AJwcSD1KC8Ty5csliIgQQoiURFFEQ88hlM7OhUFbIHU4KUMpV0MlV8Plo5WpMxklECRluRwBhEO8pDMwDejvwiTA4woNG0h94MABiaIihBAiFbOrG2ZXN3raLNBn+eDp0xl0BXD6rGjoqR1x8hGS/iiBICmrP4GIQKmSfk5tmZyFIIoI+MMIBfghr/X20kAxQgjJNg09h+Dy2SAEZVk/ePp0erUBYT6EPmc3+pydUodDEoASCJKSQkEefi8HIdK/iJzUGIaBUiVDOBiB0z50gRxaB4IQQrKLP+RBS1//4nGLr10kdTgph2EYGHQFcPltONFdK3U4JAHi9mh348aNqKmpgcFgwNq1awEAXq8X69atg8ViQVFRER544AHo9fp4XZJkMPdA9yWVPGWe7ChVcoRCPFz2AEonfdlcvWnTJtx7770SRkZI6vvJT34CtVp9clIEGdasWSN1SIRMWH1nDexeCzRKHQ58fAyLv7VA6pBSjkGbj3ZLA1rNx7Aw9FVoVTlSh0TiKG4JxFVXXYVrr70WGzZsGNy2detWzJ8/HytWrMDWrVuxdetW3HrrrfG6JMlgLkcQXDgCZQqMfxigVMng8oXhtPuHbKdpXAmJzhNPPIHcXOorTtIbx4dwvLsGTq8FpcYpKCoTpA4pJSlkSmiVejh8VtR17sfCmV+VOiQSR3HrGzJ37txhrQvV1dVYvHgxAGDx4sWorq6O1+VIhhtogUiFGZgGKJQyRHgBXk8Y4dCX4yDKysokjIoQQkgyNfQchsNrgVymgEapQ24+9awYTb6+GA6vBce7DiLEBcY+gKSNhI5OdblcMBqNAACj0Qi32z3qvlVVVYPz6a9ZswaFhYWJDE1ycrmcyjiKSEQAF+qAEGGQk6sDK/EaEKfS6sJgRBkgqFBY2P/Z/vTTTwcT5UxFn1cSD8888wwAYNmyZVi6dOmQ17KtDgCy4zOXaWWMRHi01tTBHbSjtGAS1Go1Wuo7MXPeFKlDSziWZaFWq8d1jFqthitghTfsRLe7CRedldqtEJn2eU0k6ae3OWnp0qVDKhSr1SphNIlXWFhIZRyFyx6Ay+kDGAFhLgxwCQhughiZCI/bh/ZmE5SaCADg29/+Nr2XGSAbyggA5eXlklz3qaeeQn5+PlwuF55++mmUl5dj7ty5g69nWx0AZMdnLtPK2Nx7FB19zeC4MORQIRgMYv5FsxEMZv6CaWq1ekLlzFHno8/ehb11H2Fy3llQyJQJiC4+Mu3zOpJ41QEJfbRrMBjgcDgAAA6Hg/q+kqi4BrsvpUx+O0ipkiMcGjoT065duySMiJD0kJ+fD6C/Xli4cCGampokjoiQ8RFFEUfa98HutcCoLx6c4KOpvkPiyFKbRqkDy8hg9fSiofuQ1OGQOEloArFgwYLBm6tdu3Zh4cKFibwcyRADK1ArUmj8wwClSgaOi8DrDoLj+lsg7Ha7xFERktqCwSACgcDgvw8fPowpUzK/ywfJLJ3WJvQ5OxHmgsjV5A1u93uob/+ZMAyD/Jxi2L1m1HVWIyLwYx9EUl7cHvE+//zzqK+vh8fjwY9//GPceOONWLFiBdatW4edO3eisLAQDz74YLwuRzKUKIpwOQLgQjxyDCqpwxmGYRgolDKEgv3TuRaW6GkdCELG4HK58NxzzwEAIpEILr/8cpx33nnSBkXIOAiigJqW3bC6TTDqi8AwXz5/vXjpuRJGlh50qlzY3L2wuE1oNtVhdgX9P0t3cUsg7r///hG3P/744/G6BMkCQT+HgJ+DIPav/pyKBroxDSQQtA4EIWdWUlKCZ599VuowCJmwpp4j6LG3I8yHUJ4/dchre6oO0ToQY+hvhSiBzd2Lg62fYlrpnJQeC0HGlpp3aCRrOWxfTt+aKgvInU6pkiEc4gfHQZxzzjkSR0QIISRRuEgYB1s/gdXdg8LcsiGtDwBQNqVIosjSi15tAAD0ubpwtH2fxNGQWFECQVKKpdeDYICHWqOQOpRRKVVycOEI3M4gIrwAnU4ndUiEEEISpL5jP8yuHgDM4E3wqZTq1K2vUgnDMCgylMPqNuFI+x54g6NP7U9SHyUQJGVwXAR2sw+hAA+1JvVmYBrAsgxkChnCQR4uRwB79+6VOiRCCCEJEAj7cLh9D6xu08nWh+Et4+0NPRJElp40Sh00Ch0s7h7UNO+WOhwSA0ogSMqw9fkQDPBQKNmUWjxuJCq1HMEAB4vJixtvvFHqcAghhCRAbetnsLpNUMrV0KpGXnH6/MvmJDmq9FaYWwanz4aGnkMwu7qlDodMUGrfpZGsYjF5EPRzUGtTvzlYo1Ug6OdgNnmwfft2qcMhhBASZ73OTtR1VMPuNaMwt2zU/eprmpMYVfpTyJUwaPNhdZtQ3bgToihKHRKZAEogSErgeQE2iw/BQHokEAqlDAzLwO8Nw26lfpyEEJJJuEgYnx17B32uLhi0BVAp1KPuy59cE4hEL19fDH/Yiw5rE+o790sdDpkASiBISrD1eRHwcVAoZZClePelARqdEgEfh0UXLpE6FEIIIXFU07wb3bY28HwYBTnFZ9z3gsvnJimqzMGyMhQbKtDr6MD+po9g95qlDomMU3rcqZGMZ+n1pk33pQEarQLBQBhbXv8/egJFCCEZotfRgSPte2Fx96DEOGXYtK2nq/74SJIiyyx6tQFaVQ5Mzg58Ur8dfIRWqE4nlEAQyUV4oX8AdZBL6elbTyeTs5ArZKgomQFLr1fqcAghhMSI40P47Pi76HN2Ik9XALVCM+Yxk6aXJiGyzFSUW4ZAyI8OSxMOttCsTOmEEggiOZvFh4A/DLlclrKrT49Go1MiFOTQ103jIAghJJ0JooBddW+j09oMXuCRry+ROqSMx7IylBmnwOzqwqG2L9Btb5U6JBKl9LpbIxnJ3ONBIM26Lw1QaxVobjsOu8WPYICTOhxCCCETtL/pIzT01MLm6UOZsXLENR9G0tXSm+DIMptaqUWergAmRzs+OrIVDq9F6pBIFCiBIJLyeUIw9/SvPq1JwwSCZRlccfG1CPg5mHs8UodDCCFkAk5016K29TOYHB0oM1ZCKVdFfezCq+YnMLLskK8vgYyVo9PahA8OvQ4frVKd8iiBIJJqbbDB4wpCo1WkXfelAbX1nyDgC8PU4YIg0HzWhBCSTrptLfjs+HvotrWiMLds1AXjRlPzaX2CIsseDMOg1DgFfIRDu7kBHxz6J0JcUOqwyBmk5x0byQhuZxC9XW74vWHoDdE/7Uk1Wq0akYgIh82PrlaH1OEQQgiJUrulAVWH/oluWwtyNHkwaPPHfQ65QpaAyLIPy7Aoz58KX8iNVvMx7DzyBiURKYwSCCIJURTRctwCjysIbY4qbdZ+GMmF51+OXKMaLkcQbQ02hII0FR0hhKS6hp5DqDr0L7RZGqCUq1GQM7HZlOZeMCPOkWUvGStHRf50OLwWHO+uxbs1f4c34JI6LDKC9L1rI2nNYfX3r/0Q4KHPTd/WBwD49IsPoNYoIFewcDkCaD5OA8AIISRViaKIQ21fYFfdW+iwNkKvzkWxoSLqQdOnO/jZsThHmN0UciUmF8yEy2dFQ89hbD+wGVa3SeqwyGkogSBJJ4oiWk5Y4XEGoc9VgWUn9qWdKs6aeQ4AINeogdcTRk+7C06bX+KoCCGEnM4f8uDDw//CFyfeR6elCUZdIQpySiecPABA5ezyOEZIgJNJROFMhLkgmnvrsP3Aq2joOQRRpHGGqUIudQAk+7Q22GDr8yEciiCvQCt1ODELhgIAALmchU6vhNsZRGOdBQuumBJTpUQIISQ+RFFEa98x7Gn4ACZHO5w+G4oNk5CjMcR87nCQpvBOBBkrR0XBNPS5utDadxyBsA+tfcdwyVlfQ67WKHV4WY9aIEhStTfZ0FxvgcPqhyFfAybNWx8AoL2zefDfeoMK4RAPa58XdTUmmpWJEEIkZnZ144NDr6Pq8D/RZDqCYNiPyqLZcUkeAMDUQd1WE4VhWJQYJiM/pxg9tlYcbtuDrXs34VDbFwjzIanDy2rUAkGSprPVgYajZtgsPuQa1Wm5cNxIln3124P/ZhgGxkItHJb+Lkw8J+CcBeWQp+kUtYQQko5EUYTF3YNDbZ+j3dwAm6cP3qATBTllMGjz49o6fPHSc+N2LjIcwzDI1RihU+bA7O5Bc28dnH4bjrTvwZxJF2Du5AXQKHVSh5l1KIEgCReJCOhsdqDpmAV2sw85BjU0OqXUYcXNBx9tw7evu3XwZ6VKjvxiHexmH4SIAJ6L4CsXVUCpol83QghJJLffgZa+OrT0HYPN3Qu71wJv0AmDtgBTi8+GjI3/9/CeqkNY/K0FcT8vGUomk6PMOAX+kAc2jxk2dy+sbhOOdlRjcsF0VBafhSmFM6EYxyKAZOKSckdTW1uLl19+GYIgYMmSJVixYkUyLkskJkQEdLU50N5oh9sZhNsRgC5XBa0+c5IHAMjRD28GVyhlKCjVw272IdLhgt8bRtlkAyZNy8uo5ImQaFE9QOJNFEV4gy6YXd3oc3ai19kJh9cCd8ABj98JLhKGQZufsMRhgDZHk7Bzk+G0qhxoVTkIhH1weC2wenphsrfhWFcNcjR5KDVOQbGhHMWGSSjKLaOEIkESnkAIgoBNmzbhscceQ0FBAVavXo0FCxZg0qRJib40SbJIRIDfG4bbEYTLEUDQ34O+Hge8riBEhoEhXwOVJjO6LZ1q3pzzR9wul7MoKNHBaQugp8MFlyOAzlYHCkv0MOSroc9VI8egopYJkvGoHiDjJYoi+EgYIS6IEB9EIOyDP+iBP+yBJ+CCy2eDy29HIOxDIOxHIOxFIOwFF+GgV+WiIKcUWpU+KRNZzJw7JeHXIMNplDpo8nXgIxw8QRfs3v+/vfsJbaLN4wD+nZlkkqbZpmlaLIK+0IrLlvdU2ktXlGqV97CIiEhlFw/C66F6UTzUBU9aqItaQRA8SFcLQr2Ihz0oulIPPVitf0BBW1FekWpt0sRaG5vMPHtIk221f8ZOJzOd+X7AP0mfJ/39fKZ+8zTNzChGkn/gXfw1SvwhlKilCKohhIMRlIUqECmtQDgYQUgNoyQQRokaQsBfAtUXsHSD6VaW/4sNDw+juroaa9asAQA0NTVhYGBgyeC4959XVpdmq2DwD6TT7rrCotAFtKyO6WkN09+y0DUJ6fQ0ZFlCsETB1NcMpr6672wV9/pu47fm1gU/rigShE/G59Q3fPn8DanEFPyqAr+qwKcqq+I0tm48Xr/nhR4B4O+/F/+Uk8vJgX//91/FKs82wWDQ9cecmR51oUPXNWh6Flk9i6yWQVabRlbL4Fs2jelMGrrQC+MDviDCwTJIkPAlncSXdHKFuljcwL2XaPztz0X5XHby+1VkMtN2l7Eg1ReALCuYmp7EZPpz4X6/okL1BeD3BeBXVPgUP3yyD4rihyIrkCWlsNH0wtfkP/9xfkUex/INRCKRQCwWK9yOxWIYGhr6YdydO3dw584dAEBnZyeCwaDVpdlKliTn9bjY+ZUFIArDcjd0ISCEgK4JaJoOXQcABaqqQFXV3BufhPtf2v31L/UI/2l5p6PVswAkCbIiQZYlyIoMScq9aSz/H5pU+G2WIp8e1pHH6wrzQo92MZIDXssAAJBl2T19zuTH3BQRAARU1T/rY2LmXP65P4UQM1miQ0CHruuFjYPIP5oEyAqgKn6ocN6r2Bt+/QVl4XK7y7CcJMkQAX3pgbarNDBGQMM0tJl2ZEmGLCvQv2VymSzJuRyGPDePJQlSPpAlaVY0z8rrwl3O/+agGZZvIOa76Md8Lym2tLSgpaWlcNsfcPfpL0tDIUx+nbS7jEX9/4sk/yRWKjy5zT/hVRQZPr+MQNCXO9PQrKWNRMqRSiVtqLy4mrbuXX6fAtA0gcy0hsy0hmxWg67nNmW6LmYyObdhy38piZlQLqbVcLya5YUe7WIkB77PgLC/3OqybBcqDeHr5Cq+6OR3ayjNuk9C7klXaWkpvk5+hTTzhAwAZEmBLEmQZBmK5IMsK1BmfvkUFX7FD5+iQpGUIje0PJG/RpBKpuwuw3KRcnf2KSBmXt3KIBQuQWI8jqyWyW1k85vZ/N+FPncDXNgQz2SzEAuns8sugmf5BiIWiyEejxdux+NxRKNLXwCkYdMvVpZlu8rKSoyNjdldhqVyPdpdhfW80Kd3jld392iX5eTA3xr3W12W7bxwzHmmx1J39wh4o08vHK8rxfKT09fW1mJkZASjo6PIZrPo7+9HQwNPd0ZE5BXMASIid7H8FQhFUXDgwAF0dHRA13U0Nzdj3bp1Vn9aIiJyCOYAEZG7FOW8VfX19aivry/GpyIiIgdiDhARuYck5nt3GxERERER0Twsfw/EcrS3t9tdguXYo3t4oU/26B6roc/VUONK8EKf7NE9vNAnezTOkRsIIiIiIiJyJm4giIiIiIjIMEduIGZfTMit2KN7eKFP9ugeq6HP1VDjSvBCn+zRPbzQJ3s0jm+iJiIiIiIiwxz5CgQRERERETkTNxBERERERGRYUS4k970vX76gq6sLnz59QlVVFY4cOYJwOPzDuIsXL2JwcBCRSARnz54t3H/9+nXcvXsXZWVlAIB9+/Y58gJFZvs0Ot9ORmt88uQJuru7oes6tm3bhl27dgFw9louVHOeEALd3d14/PgxAoEA2traUFNTY2iuU5jp8dChQwgGg5BlGYqioLOz04YOjFmqz/fv3+PixYt48+YNWltbsXPnTsNzncJMj3aspRdywAsZADAHmAPMAacoag4IG/T09IgbN24IIYS4ceOG6OnpmXfc8+fPxevXr8XRo0fn3N/b2ytu3rxpdZmmme3T6Hw7GalR0zRx+PBh8eHDB5HJZMSxY8fEu3fvhBDOXcvFas579OiR6OjoELqui5cvX4rjx48bnusEZnoUQoi2tjaRSqWKXfZPM9JnMpkUQ0ND4tq1a3OORzet5UI9CmHPWnohB7yQAUIwB5gDzAEnKHYO2PIjTAMDA9iyZQsAYMuWLRgYGJh3XF1dnSO/22KU2T6NzreTkRqHh4dRXV2NNWvWwOfzoampyZG9zGak5ocPH2Lz5s2QJAkbN27E5OQkxsfHV02/ZnpcTYz0GYlEsGHDBiiK8tNzncBMj3bxQg54IQMA5gBzwPmYAzkrmQO2/AhTKpVCNBoFAESjUXz+/PmnH+PWrVu4f/8+ampqsH//fkcGjNk+V+LfyWpGakwkEojFYoXbsVgMQ0NDhdtOXMulas6PqaysnDMmkUgYmusEZnrMr3lHRwcAYPv27Y49/Z2Z9XDTWi6l2GvphRzwQgYAzAHmAHPACYqdA5ZtIE6ePIlkMvnD/a2traYfe8eOHdizZw8AoLe3F1evXkVbW5vpx10OK/t0CrM9innOFCxJEgBnreVsi9W81Bgjc53ATI9A7rioqKhAKpXCqVOnsHbtWtTV1VlTrAlm1sNNa7kYq9bSCznghQwAmAN5zIG5Y5gDzlHsHLBsA3HixIkFPxaJRDA+Po5oNIrx8fHCG6eMKi8vL/x927ZtOH369HLLNM3KPs3OXylme4zFYojH44Xb8Xi88J0LJ63lbIvVPHvM2NjYD2Oy2eySc53ATI8AUFFRASB3DDQ2NmJ4eNiRwWGkTyvmFpPZOq1aSy/kgBcyAGAOAMyB+cYwB5yj2Dlgy3sgGhoa0NfXBwDo6+tDY2PjT82f/bN3Dx48wLp161a0vpVitk+z84vBSI21tbUYGRnB6Ogostks+vv70dDQAMC5a7lYzXkNDQ24f/8+hBB49eoVQqEQotGooblOYKbHdDqNqakpAEA6ncazZ8+wfv16O9pYkpn1cNNaLsSutfRCDnghAwDmAHOAOeAExc4BW65EPTExga6uLoyNjaGyshJHjx5FOBxGIpHApUuXcPz4cQDA+fPn8eLFC0xMTCASiWDv3r3YunUrLly4gLdv30KSJFRVVeHgwYOO3A2a7XOh+U5itMfBwUFcuXIFuq6jubkZu3fvBgBHr+V8Nd++fRtA7iV3IQQuX76Mp0+fQlVVtLW1oba2dsG5TrTcHj9+/IgzZ84AADRNw6ZNmxzbI7B0n8lkEu3t7ZiamoIkSQgGgzh37hxCoZBr1nKhHicmJmxZSy/kgBcyAGAOMAeYA05RzBywZQNBRERERESrE69ETUREREREhnEDQUREREREhnEDQUREREREhnEDQUREREREhnEDQUREREREhnEDQUREREREhnEDQUREREREhv0P0lvcEyo52wIAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(11., 5)\n", + "colors = [\"#348ABD\", \"#A60628\", \"#7A68A6\", \"#467821\"]\n", + "\n", + "normal = stats.norm\n", + "x = np.linspace(-0.15, 0.15, 100)\n", + "\n", + "expert_prior_params = {\"AAPL\":(0.05, 0.03),\n", + " \"GOOG\":(-0.03, 0.04), \n", + " \"TSLA\": (-0.02, 0.01), \n", + " \"AMZN\": (0.03, 0.02), \n", + " }\n", + "\n", + "for i, (name, params) in enumerate(expert_prior_params.items()):\n", + " plt.subplot(2, 2, i+1)\n", + " y = normal.pdf(x, params[0], scale = params[1])\n", + " #plt.plot( x, y, c = colors[i] )\n", + " plt.fill_between(x, 0, y, color = colors[i], linewidth=2,\n", + " edgecolor = colors[i], alpha = 0.6)\n", + " plt.title(name + \" prior\")\n", + " plt.vlines(0, 0, y.max(), \"k\",\"--\", linewidth = 0.5)\n", + " plt.xlim(-0.15, 0.15)\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that these are subjective priors: the expert has a personal opinion on the stock returns of each of these companies, and is expressing them in a distribution. He's not wishful thinking -- he's introducing domain knowledge.\n", + "\n", + "In order to better model these returns, we should investigate the *covariance matrix* of the returns. For example, it would be unwise to invest in two stocks that are highly correlated, since they are likely to tank together (hence why fund managers suggest a diversification strategy). We will use the *Wishart distribution* for this, introduced earlier." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's get some historical data for these stocks. We will use the covariance of the returns as a starting point for our Wishart random variable. This is not empirical bayes (as we will go over later) because we are only deciding the starting point, not influencing the parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [], + "source": [ + "# I wish I could have used Pandas as a prereq for this book, but oh well.\n", + "import datetime\n", + "import collections\n", + "#import ystockquote as ysq\n", + "import pandas as pd\n", + "import pandas_datareader as pdr\n", + "\n", + "n_observations = 100 # we will truncate the the most recent 100 days.\n", + "\n", + "stocks = [\"AAPL\", \"GOOG\", \"TSLA\", \"AMZN\"]\n", + "\n", + "enddate = \"2015-04-27\"\n", + "startdate = \"2012-09-01\"\n", + "\n", + "CLOSE = 6\n", + "\n", + "stock_closes = pd.DataFrame()\n", + "\n", + "for stock in stocks:\n", + " data = pdr.get_data_yahoo(stock,start=startdate,end=enddate)[\"Close\"]\n", + " #x = np.array(ysq.get_historical_prices(stock, startdate, enddate))\n", + " #stock_series = pd.Series(x[1:,CLOSE].astype(float), name=stock)\n", + " stock_closes[stock] = data\n", + "\n", + "stock_closes = stock_closes[::-1]\n", + "stock_returns = stock_closes.pct_change()[1:][-n_observations:]\n", + " \n", + "#dates = list(map(lambda x: datetime.datetime.strptime(x, \"%Y-%m-%d\"), x[1:n_observations+1,0]))\n", + "dates = stock_returns.index.to_list()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here let's form our basic model:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Added new variable covariance_c to model diagonal of Wishart.\n", + "Added new variable covariance_z to model off-diagonals of Wishart.\n" + ] + } + ], + "source": [ + "import pymc as pm\n", + "import pytensor.tensor as pt\n", + "from pytensor.tensor.nlinalg import matrix_inverse, matrix_dot\n", + "from pytensor.tensor.basic import diag\n", + "prior_mu = np.array([x[0] for x in expert_prior_params.values()])\n", + "prior_std = np.array([x[1] for x in expert_prior_params.values()])\n", + "\n", + "init = stock_returns.cov()\n", + "\n", + "with pm.Model() as model:\n", + " cov_matrix = pm.WishartBartlett(\"covariance\", np.diag(prior_std**2), 10, initval = init)\n", + "\n", + " mu = pm.Normal(\"returns\", mu=prior_mu, sigma=1, shape=4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are the returns for our chosen stocks:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 4)\n", + "\n", + "cum_returns = np.cumprod(1 + stock_returns) - 1\n", + "cum_returns.index = dates[::-1]\n", + "cum_returns.plot()\n", + "\n", + "plt.legend(loc = \"upper left\")\n", + "plt.title(\"Return space\")\n", + "plt.ylabel(\"Return of $1 on first date, x100%\");" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(11., 5 )\n", + "\n", + "for i, _stock in enumerate(stocks):\n", + " plt.subplot(2,2,i+1)\n", + " plt.hist(stock_returns[_stock], bins=20,\n", + " density = True, histtype=\"stepfilled\",\n", + " color=colors[i], alpha=0.7)\n", + " plt.title(_stock + \" returns\")\n", + " plt.xlim(-0.15, 0.15)\n", + "\n", + "plt.tight_layout()\n", + "plt.suptitle(\"Histogram of daily returns\", size =14);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below we perform the inference on the posterior mean return and posterior covariance matrix. " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Sequential sampling (1 chains in 1 job)\n", + "NUTS: [covariance_c, covariance_z, returns]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [6000/6000 00:26<00:00 Sampling chain 0, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 1 chain for 1_000 tune and 5_000 draw iterations (1_000 + 5_000 draws total) took 26 seconds.\n" + ] + } + ], + "source": [ + "with model:\n", + " obs = pm.MvNormal(\"observed returns\", mu=mu, cov=cov_matrix, observed=stock_returns)\n", + " # step = pm.NUTS()\n", + " # We use chains=1 for quicker progress\n", + " trace = pm.sample(5000, tune=1000, chains=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(15,6)\n", + "\n", + "#examine the mean return first.\n", + "mu_samples = trace.posterior.returns.data[0]\n", + "\n", + "for i in range(4):\n", + " plt.hist(mu_samples[:,i], alpha = 0.8 - 0.05*i, bins = 30,\n", + " histtype=\"stepfilled\", density=True, \n", + " label = \"%s\" % stock_returns.columns[i])\n", + "\n", + "plt.vlines(mu_samples.mean(axis=0), 0, 500, linestyle=\"--\", linewidth = .5)\n", + "\n", + "plt.title(\"Posterior distribution of $\\mu$, daily stock returns\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "(Plots like these are what inspired the book's cover.)\n", + "\n", + "What can we say about the results above? Clearly TSLA has been a strong performer, and our analysis suggests that it has an almost 1% daily return! Similarly, most of the distribution of AAPL is negative, suggesting that its *true daily return* is negative.\n", + "\n", + "\n", + "You may not have immediately noticed, but these variables are a whole order of magnitude *less* than our priors on them. For example, to put these one the same scale as the above prior distributions:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(15.0,8)\n", + "for i in range(4):\n", + " plt.subplot(2,2,i+1)\n", + " plt.hist(mu_samples[:,i], alpha = 0.8 - 0.05*i, bins = 30,\n", + " histtype=\"stepfilled\", density=True, color = colors[i],\n", + " label = \"%s\" % stock_returns.columns[i])\n", + " plt.title(\"%s\" % stock_returns.columns[i])\n", + " plt.xlim(-0.15, 0.15)\n", + " \n", + "plt.suptitle(\"Posterior distribution of daily stock returns\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Why did this occur? Recall how I mentioned that finance has a very very low signal to noise ratio. This implies an environment where inference is much more difficult. One should be careful about over-interpreting these results: notice (in the first figure) that each distribution is positive at 0, implying that the stock may return nothing. Furthermore, the subjective priors influenced the results. From the fund managers point of view, this is good as it reflects his updated beliefs about the stocks, whereas from a neutral viewpoint this can be too subjective of a result. \n", + "\n", + "Below we show the posterior correlation matrix, and posterior standard deviations. An important caveat to know is that the Wishart distribution models the *inverse covariance matrix*, so we must invert it to get the covariance matrix. We also normalize the matrix to acquire the *correlation matrix*. Since we cannot plot hundreds of matrices effectively, we settle by summarizing the posterior distribution of correlation matrices by showing the *mean posterior correlation matrix* (defined on line 2)." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cov_samples = trace.posterior.covariance.data[0]\n", + "mean_covariance_matrix = cov_samples.mean(axis=0)\n", + "\n", + "def cov2corr(A):\n", + " \"\"\"\n", + " covariance matrix to correlation matrix.\n", + " \"\"\"\n", + " d = np.sqrt(A.diagonal())\n", + " A = ((A.T/d).T)/d\n", + " #A[ np.diag_indices(A.shape[0]) ] = np.ones( A.shape[0] )\n", + " return A\n", + "\n", + "\n", + "plt.subplot(1,2,1)\n", + "plt.imshow(cov2corr(mean_covariance_matrix) , interpolation=\"none\", \n", + " cmap = \"hot\") \n", + "plt.xticks(np.arange(4), stock_returns.columns)\n", + "plt.yticks(np.arange(4), stock_returns.columns)\n", + "plt.colorbar(orientation=\"vertical\")\n", + "plt.title(\"(mean posterior) Correlation Matrix\")\n", + "\n", + "plt.subplot(1,2,2)\n", + "plt.bar(np.arange(4), np.sqrt(np.diag(mean_covariance_matrix)),\n", + " color = \"#348ABD\", alpha = 0.7)\n", + "plt.xticks(np.arange(4) + 0.5, stock_returns.columns);\n", + "plt.title(\"(mean posterior) standard deviations of daily stock returns\")\n", + "\n", + "plt.tight_layout();\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looking at the above figures, we can say that likely TSLA has an above-average volatility (looking at the return graph this is quite clear). The correlation matrix shows that there are not strong correlations present, but perhaps GOOG and AMZN express a higher correlation (about 0.30). \n", + "\n", + "With this Bayesian analysis of the stock market, we can throw it into a Mean-Variance optimizer (which I cannot stress enough, do not use with frequentist point estimates) and find the minimum. This optimizer balances the tradeoff between a high return and high variance.\n", + "\n", + "$$ w_{opt} = \\max_{w} \\frac{1}{N}\\left( \\sum_{i=0}^N \\mu_i^T w - \\frac{\\lambda}{2}w^T\\Sigma_i w \\right)$$\n", + "\n", + "where $\\mu_i$ and $\\Sigma_i$ are the $i$th posterior estimate of the mean returns and the covariance matrix. This is another example of loss function optimization." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Protips for the Wishart distribution\n", + "\n", + "If you plan to be using the Wishart distribution, read on. Else, feel free to skip this. \n", + "\n", + "In the problem above, the Wishart distribution behaves pretty nicely. Unfortunately, this is rarely the case. The problem is that estimating an $NxN$ covariance matrix involves estimating $\\frac{1}{2}N(N-1)$ unknowns. This is a large number even for modest $N$. Personally, I've tried performing a similar simulation as above with $N = 23$ stocks, and ended up giving considering that I was requesting my MCMC simulation to estimate at least $\\frac{1}{2}23*22 = 253$ additional unknowns (plus the other interesting unknowns in the problem). This is not easy for MCMC. Essentially, you are asking you MCMC to traverse 250+ dimensional space. And the problem seemed so innocent initially! Below are some tips, in order of supremacy:\n", + "\n", + "1. Use conjugancy if it applies. See section below.\n", + "\n", + "2. Use a good starting value. What might be a good starting value? Why, the data's sample covariance matrix is! Note that this is not empirical Bayes: we are not touching the prior's parameters, we are modifying the starting value of the MCMC. Due to numerical instability, it is best to truncate the floats in the sample covariance matrix down a few degrees of precision (e.g. instability can cause unsymmetrical matrices, which can cause PyMC3 to cry.). \n", + "\n", + "3. Provide as much domain knowledge in the form of priors, if possible. I stress *if possible*. It is likely impossible to have an estimate about each $\\frac{1}{2}N(N-1)$ unknown. In this case, see number 4.\n", + "\n", + "4. Use empirical Bayes, i.e. use the sample covariance matrix as the prior's parameter.\n", + "\n", + "5. For problems where $N$ is very large, nothing is going to help. Instead, ask, do I really care about *every* correlation? Probably not. Further ask yourself, do I really really care about correlations? Possibly not. In finance, we can set an informal hierarchy of what we might be interested in the most: first a good estimate of $\\mu$, the variances along the diagonal of the covariance matrix are secondly important, and finally the correlations are least important. So, it might be better to ignore the $\\frac{1}{2}(N-1)(N-2)$ correlations and instead focus on the more important unknowns.\n", + "\n", + "**Another thing** to note is that the implementation of the Wishart distribution has changed in from PyMC to PyMC3. Wishart distribution matrices are required to have certain mathematical characteristics that are very restrictive. This makes it so that it is impossible for MCMC methods to propose matrices that will be accepted in our sampling procedure. With our model here we sample the Bartlett decomposition of a Wishart distribution matrix and use that to calculate our samples for the covariance matrix (http://en.wikipedia.org/wiki/Wishart_distribution#Bartlett_decomposition)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conjugate Priors\n", + "\n", + "Recall that a $\\text{Beta}$ prior with $\\text{Binomial}$ data implies a $\\text{Beta}$ posterior. Graphically:\n", + "\n", + "$$ \\underbrace{\\text{Beta}}_{\\text{prior}} \\cdot \\overbrace{\\text{Binomial}}^{\\text{data}} = \\overbrace{\\text{Beta}}^{\\text{posterior} } $$ \n", + "\n", + "Notice the $\\text{Beta}$ on both sides of this equation (no, you cannot cancel them, this is not a *real* equation). This is a really useful property. It allows us to avoid using MCMC, since the posterior is known in closed form. Hence inference and analytics are easy to derive. This shortcut was the heart of the Bayesian Bandit algorithm above. Fortunately, there is an entire family of distributions that have similar behaviour. \n", + "\n", + "Suppose $X$ comes from, or is believed to come from, a well-known distribution, call it $f_{\\alpha}$, where $\\alpha$ are possibly unknown parameters of $f$. $f$ could be a Normal distribution, or Binomial distribution, etc. For particular distributions $f_{\\alpha}$, there may exist a prior distribution $p_{\\beta}$, such that:\n", + "\n", + "$$ \\overbrace{p_{\\beta}}^{\\text{prior}} \\cdot \\overbrace{f_{\\alpha}(X)}^{\\text{data}} = \\overbrace{p_{\\beta'}}^{\\text{posterior} } $$ \n", + "\n", + "where $\\beta'$ is a different set of parameters *but $p$ is the same distribution as the prior*. A prior $p$ that satisfies this relationship is called a *conjugate prior*. As I mentioned, they are useful computationally, as we can avoided approximate inference using MCMC and go directly to the posterior. This sounds great, right?\n", + "\n", + "Unfortunately, not quite. There are a few issues with conjugate priors.\n", + "\n", + "1. The conjugate prior is not objective. Hence only useful when a subjective prior is required. It is not guaranteed that the conjugate prior can accommodate the practitioner's subjective opinion.\n", + "\n", + "2. There typically exist conjugate priors for simple, one dimensional problems. For larger problems, involving more complicated structures, hope is lost to find a conjugate prior. For smaller models, Wikipedia has a nice [table of conjugate priors](http://en.wikipedia.org/wiki/Conjugate_prior#Table_of_conjugate_distributions).\n", + "\n", + "Really, conjugate priors are only useful for their mathematical convenience: it is simple to go from prior to posterior. I personally see conjugate priors as only a neat mathematical trick, and offer little insight into the problem at hand. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Jefferys Priors\n", + "\n", + "Earlier, we talked about objective priors rarely being *objective*. Partly what we mean by this is that we want a prior that doesn't bias our posterior estimates. The flat prior seems like a reasonable choice as it assigns equal probability to all values. \n", + "\n", + "But the flat prior is not transformation invariant. What does this mean? Suppose we have a random variable $\\textbf X$ from Bernoulli($\\theta$). We define the prior on $p(\\theta) = 1$. " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 5)\n", + "\n", + "x = np.linspace(0.000 ,1, 150)\n", + "y = np.linspace(1.0, 1.0, 150)\n", + "lines = plt.plot(x, y, color=\"#A60628\", lw = 3)\n", + "plt.fill_between(x, 0, y, alpha = 0.2, color = lines[0].get_color())\n", + "plt.autoscale(tight=True)\n", + "plt.ylim(0, 2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, let's transform $\\theta$ with the function $\\psi = log \\frac{\\theta}{1-\\theta}$. This is just a function to stretch $\\theta$ across the real line. Now how likely are different values of $\\psi$ under our transformation." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 5)\n", + "\n", + "psi = np.linspace(-10 ,10, 150)\n", + "y = np.exp(psi) / (1 + np.exp(psi))**2\n", + "lines = plt.plot(psi, y, color=\"#A60628\", lw = 3)\n", + "plt.fill_between(psi, 0, y, alpha = 0.2, color = lines[0].get_color())\n", + "plt.autoscale(tight=True)\n", + "plt.ylim(0, 1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Oh no! Our function is no longer flat. It turns out flat priors do carry information in them after all. The point of Jeffreys Priors is to create priors that don't accidentally become informative when you transform the variables you placed them originally on.\n", + "\n", + "Jeffreys Priors are defined as:\n", + "\n", + "$$p_J(\\theta) \\propto \\mathbf{I}(\\theta)^\\frac{1}{2}$$\n", + "$$\\mathbf{I}(\\theta) = - \\mathbb{E}\\bigg[\\frac{d^2 \\text{ log } p(X|\\theta)}{d\\theta^2}\\bigg]$$\n", + "\n", + "$\\mathbf{I}$ being the *Fisher information*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Effect of the prior as $N$ increases\n", + "\n", + "In the first chapter, I proposed that as the amount of our observations or data increases, the influence of the prior decreases. This is intuitive. After all, our prior is based on previous information, and eventually enough new information will shadow our previous information's value. The smothering of the prior by enough data is also helpful: if our prior is significantly wrong, then the self-correcting nature of the data will present to us a *less wrong*, and eventually *correct*, posterior. \n", + "\n", + "We can see this mathematically. First, recall Bayes Theorem from Chapter 1 that relates the prior to the posterior. The following is a sample from [What is the relationship between sample size and the influence of prior on posterior?](http://stats.stackexchange.com/questions/30387/what-is-the-relationship-between-sample-size-and-the-influence-of-prior-on-poste)[1] on CrossValidated.\n", + "\n", + ">The posterior distribution for a parameter $\\theta$, given a data set ${\\textbf X}$ can be written as \n", + "\n", + "$$p(\\theta | {\\textbf X}) \\propto \\underbrace{p({\\textbf X} | \\theta)}_{{\\textrm likelihood}} \\cdot \\overbrace{ p(\\theta) }^{ {\\textrm prior} } $$\n", + "\n", + "\n", + "\n", + ">or, as is more commonly displayed on the log scale, \n", + "\n", + "$$ \\log( p(\\theta | {\\textbf X}) ) = c + L(\\theta;{\\textbf X}) + \\log(p(\\theta)) $$\n", + "\n", + ">The log-likelihood, $L(\\theta;{\\textbf X}) = \\log \\left( p({\\textbf X}|\\theta) \\right)$, **scales with the sample size**, since it is a function of the data, while the prior density does not. Therefore, as the sample size increases, the absolute value of $L(\\theta;{\\textbf X})$ is getting larger while $\\log(p(\\theta))$ stays fixed (for a fixed value of $\\theta$), thus the sum $L(\\theta;{\\textbf X}) + \\log(p(\\theta))$ becomes more heavily influenced by $L(\\theta;{\\textbf X})$ as the sample size increases. \n", + "\n", + "There is an interesting consequence not immediately apparent. As the sample size increases, the chosen prior has less influence. Hence inference converges regardless of chosen prior, so long as the areas of non-zero probabilities are the same. \n", + "\n", + "Below we visualize this. We examine the convergence of two posteriors of a Binomial's parameter $\\theta$, one with a flat prior and the other with a biased prior towards 0. As the sample size increases, the posteriors, and hence the inference, converge." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(12.5, 15)\n", + "\n", + "p = 0.6\n", + "beta1_params = np.array([1.,1.])\n", + "beta2_params = np.array([2,10])\n", + "beta = stats.beta\n", + "\n", + "x = np.linspace(0.00, 1, 125)\n", + "data = stats.bernoulli.rvs(p, size=500)\n", + "\n", + "plt.figure()\n", + "for i,N in enumerate([0,4,8, 32,64, 128, 500]):\n", + " s = data[:N].sum() \n", + " plt.subplot(8,1,i+1)\n", + " params1 = beta1_params + np.array([s, N-s])\n", + " params2 = beta2_params + np.array([s, N-s])\n", + " y1,y2 = beta.pdf(x, *params1), beta.pdf( x, *params2)\n", + " plt.plot(x,y1, label = r\"flat prior\", lw =3)\n", + " plt.plot(x, y2, label = \"biased prior\", lw= 3)\n", + " plt.fill_between(x, 0, y1, color =\"#348ABD\", alpha = 0.15) \n", + " plt.fill_between(x, 0, y2, color =\"#A60628\", alpha = 0.15) \n", + " plt.legend(title = \"N=%d\" % N)\n", + " plt.vlines(p, 0.0, 7.5, linestyles = \"--\", linewidth=1)\n", + " #plt.ylim( 0, 10)#\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Keep in mind, not all posteriors will \"forget\" the prior this quickly. This example was just to show that *eventually* the prior is forgotten. The \"forgetfulness\" of the prior as we become awash in more and more data is the reason why Bayesian and Frequentist inference eventually converge as well." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Bayesian perspective of Penalized Linear Regressions\n", + "\n", + "There is a very interesting relationship between a penalized least-squares regression and Bayesian priors. A penalized linear regression is a optimization problem of the form:\n", + "\n", + "$$ \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) + f(\\beta)$$\n", + "\n", + "for some function $f$ (typically a norm like $|| \\cdot ||_p^p$). \n", + "\n", + "We will first describe the probabilistic interpretation of least-squares linear regression. Denote our response variable $Y$, and features are contained in the data matrix $X$. The standard linear model is:\n", + "\n", + "\\begin{equation}\n", + "Y = X\\beta + \\epsilon\n", + "\\end{equation}\n", + "\n", + "where $\\epsilon \\sim \\text{Normal}( {\\textbf 0}, \\sigma{\\textbf I })$. Simply, the observed $Y$ is a linear function of $X$ (with coefficients $\\beta$) plus some noise term. Our unknown to be determined is $\\beta$. We use the following property of Normal random variables:\n", + "\n", + "$$ \\mu' + \\text{Normal}( \\mu, \\sigma ) \\sim \\text{Normal}( \\mu' + \\mu , \\sigma ) $$\n", + "\n", + "to rewrite the above linear model as:\n", + "\n", + "\\begin{align}\n", + "& Y = X\\beta + \\text{Normal}( {\\textbf 0}, \\sigma{\\textbf I }) \\\\\\\\\n", + "& Y = \\text{Normal}( X\\beta , \\sigma{\\textbf I }) \\\\\\\\\n", + "\\end{align}\n", + "\n", + "In probabilistic notation, denote $f_Y(y \\; | \\; \\beta )$ the probability distribution of $Y$, and recalling the density function for a Normal random variable (see [here](http://en.wikipedia.org/wiki/Normal_distribution) ):\n", + "\n", + "$$ f_Y( Y \\; |\\; \\beta, X) = L(\\beta|\\; X,Y)= \\frac{1}{\\sqrt{ 2\\pi\\sigma} } \\exp \\left( \\frac{1}{2\\sigma^2} (Y - X\\beta)^T(Y - X\\beta) \\right) $$\n", + "\n", + "This is the likelihood function for $\\beta$. Taking the $\\log$:\n", + "\n", + "$$ \\ell(\\beta) = K - c(Y - X\\beta)^T(Y - X\\beta) $$\n", + "\n", + "where $K$ and $c>0$ are constants. Maximum likelihood techniques wish to maximize this for $\\beta$, \n", + "\n", + "$$\\hat{ \\beta } = \\text{argmax}_{\\beta} \\;\\; - (Y - X\\beta)^T(Y - X\\beta) $$\n", + "\n", + "Equivalently we can *minimize the negative* of the above:\n", + "\n", + "$$\\hat{ \\beta } = \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) $$\n", + "\n", + "This is the familiar least-squares linear regression equation. Therefore we showed that the solution to a linear least-squares is the same as the maximum likelihood assuming Normal noise. Next we extend this to show how we can arrive at penalized linear regression by a suitable choice of prior on $\\beta$. \n", + "\n", + "#### Penalized least-squares\n", + "\n", + "In the above, once we have the likelihood, we can include a prior distribution on $\\beta$ to derive to the equation for the posterior distribution:\n", + "\n", + "$$P( \\beta | Y, X ) = L(\\beta|\\;X,Y)p( \\beta )$$\n", + "\n", + "where $p(\\beta)$ is a prior on the elements of $\\beta$. What are some interesting priors? \n", + "\n", + "1\\. If we include *no explicit* prior term, we are actually including an uninformative prior, $P( \\beta ) \\propto 1$, think of it as uniform over all numbers. \n", + "\n", + "2\\. If we have reason to believe the elements of $\\beta$ are not too large, we can suppose that *a priori*:\n", + "\n", + "$$ \\beta \\sim \\text{Normal}({\\textbf 0 }, \\lambda {\\textbf I } ) $$\n", + "\n", + "The resulting posterior density function for $\\beta$ is *proportional to*:\n", + "\n", + "$$ \\exp \\left( \\frac{1}{2\\sigma^2} (Y - X\\beta)^T(Y - X\\beta) \\right) \\exp \\left( \\frac{1}{2\\lambda^2} \\beta^T\\beta \\right) $$\n", + "\n", + "and taking the $\\log$ of this, and combining and redefining constants, we arrive at:\n", + "\n", + "$$ \\ell(\\beta) \\propto K - (Y - X\\beta)^T(Y - X\\beta) - \\alpha \\beta^T\\beta $$\n", + "\n", + "we arrive at the function we wish to maximize (recall the point that maximizes the posterior distribution is the MAP, or *maximum a posterior*):\n", + "\n", + "$$\\hat{ \\beta } = \\text{argmax}_{\\beta} \\;\\; -(Y - X\\beta)^T(Y - X\\beta) - \\alpha \\;\\beta^T\\beta $$\n", + "\n", + "Equivalently, we can minimize the negative of the above, and rewriting $\\beta^T \\beta = ||\\beta||_2^2$:\n", + "\n", + "$$\\hat{ \\beta } = \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) + \\alpha \\;||\\beta||_2^2$$\n", + "\n", + "This above term is exactly Ridge Regression. Thus we can see that ridge regression corresponds to the MAP of a linear model with Normal errors and a Normal prior on $\\beta$.\n", + "\n", + "3\\. Similarly, if we assume a *Laplace* prior on $\\beta$, ie. \n", + "\n", + "$$ f_\\beta( \\beta) \\propto \\exp \\left(- \\lambda ||\\beta||_1 \\right)$$\n", + "\n", + "and following the same steps as above, we recover:\n", + "\n", + "$$\\hat{ \\beta } = \\text{argmin}_{\\beta} \\;\\; (Y - X\\beta)^T(Y - X\\beta) + \\alpha \\;||\\beta||_1$$\n", + "\n", + "which is LASSO regression. Some important notes about this equivalence. The sparsity that is a result of using a LASSO regularization is not a result of the prior assigning high probability to sparsity. Quite the opposite actually. It is the combination of the $|| \\cdot ||_1$ function and using the MAP that creates sparsity on $\\beta$: [purely a geometric argument](http://camdp.com/blogs/least-squares-regression-l1-penalty). The prior does contribute to an overall shrinking of the coefficients towards 0 though. An interesting discussion of this can be found in [2].\n", + "\n", + "For an example of Bayesian linear regression, see Chapter 4's example on financial losses." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### References\n", + "\n", + "1. Macro, . \"What is the relationship between sample size and the influence of prior on posterior?.\" 13 Jun 2013. StackOverflow, Online Posting to Cross-Validated. Web. 25 Apr. 2013.\n", + "\n", + "2. Starck, J.-L., , et al. \"Sparsity and the Bayesian Perspective.\" Astronomy & Astrophysics. (2013): n. page. Print.\n", + "\n", + "3. Kuleshov, Volodymyr, and Doina Precup. \"Algorithms for the multi-armed bandit problem.\" Journal of Machine Learning Research. (2000): 1-49. Print.\n", + "\n", + "4. Gelman, Andrew. \"Prior distributions for variance parameters in hierarchical models.\" Bayesian Analysis. 1.3 (2006): 515-533. Print.\n", + "\n", + "5. Gelman, Andrew, and Cosma R. Shalizi. \"Philosophy and the practice of Bayesian statistics.\" British Journal of Mathematical and Statistical Psychology. (2012): n. page. Web. 17 Apr. 2013.\n", + "\n", + "6. http://jmlr.csail.mit.edu/proceedings/papers/v22/kaufmann12/kaufmann12.pdf\n", + "\n", + "7. James, Neufeld. \"Reddit's \"best\" comment scoring algorithm as a multi-armed bandit task.\" Simple ML Hacks. Blogger, 09 Apr 2013. Web. 25 Apr. 2013.\n", + "\n", + "8. Oakley, J. E., Daneshkhah, A. and O’Hagan, A. Nonparametric elicitation using the roulette method. Submitted to Bayesian Analysis.\n", + "\n", + "9. \"Eliciting priors from experts.\" 19 Jul 2010. StackOverflow, Online Posting to Cross-Validated. Web. 1 May. 2013. .\n", + "\n", + "10. Taleb, Nassim Nicholas (2007), The Black Swan: The Impact of the Highly Improbable, Random House, ISBN 978-1400063512" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.core.display import HTML\n", + "def css_styling():\n", + " styles = open(\"../styles/custom.css\", \"r\").read()\n", + " return HTML(styles)\n", + "css_styling()" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "pymc_env", + "language": "python", + "name": "pymc_env" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/requirements.txt b/requirements.txt index 1ea9f4ac..c8604dce 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,7 +1,7 @@ ipython>=2.0 matplotlib>=1.2.1 numpy>=1.7.1 -pymc==2.3.4 +pymc>=5.0.1 pyzmq>=13.1.0 scipy>=0.12.0 tornado>=3.0.2