{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 5\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 a interesting loss function for their predictions. [2]\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 }, "outputs": [ { "data": { "image/png": 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lkz5MeyjNX/68jqZqL7n8uVw4v47Ino1A+X9ftaxlu5Y3b95MOBwGoK2tjbPP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XcDnwD2icgecpffvsTZbYr3WeBfABe5FUd+P53PRRXNt9G+ok7vb4F/ExE7cIzchpxWtL+oMYwx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\nffd1+zRMnyoX65w+Mcf46UU816dWdSkt1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import scipy.stats as stats\n", "from IPython.core.pylabtools import figsize\n", "import numpy as np\n", "import matplotlib.pyplot as plt\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": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 50000 of 50000 complete in 8.0 sec" ] } ], "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", "\n", "true_price = pm.Normal(\"true_price\", mu_prior, 1.0 / std_prior ** 2)\n", "\n", "\n", "prize_1 = pm.Normal(\"first_prize\", data_mu[0], 1.0 / data_std[0] ** 2)\n", "prize_2 = pm.Normal(\"second_prize\", data_mu[1], 1.0 / data_std[1] ** 2)\n", "price_estimate = prize_1 + prize_2\n", "\n", "\n", "@pm.potential\n", "def error(true_price=true_price, price_estimate=price_estimate):\n", " return pm.normal_like(true_price, price_estimate, 1 / (3e3) ** 2)\n", "\n", "\n", "mcmc = pm.MCMC([true_price, prize_1, prize_2, price_estimate, error])\n", "mcmc.sample(50000, 10000)\n", "\n", "price_trace = mcmc.trace(\"true_price\")[:]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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X+7dd4ZzbE7StrXPuLOdcY+dcvHMu3Tn3nXOujnOus3Ouu3Ouh3Pu71VzGrzh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\n5WRQYIwxfmbBgLkdLS0tvP766zQ0NPDuu++iqgA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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, 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=\"--\")\n", "plt.vlines(price_trace.mean(), 0, 1.1 * np.max(_hist[0]),\n", " label=\"posterior's mean\", linestyles=\"-.\")\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 about15 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": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zj3/8g1GjRpXY5rbbbqNnz5589tlnDB06lL/85S/Ex8cTExNDXFwc33zzTakB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XOIvOGFgEyGdz5l1UX87sMHKK7Mo3tyBj//wd8JDgpttuM1VVlxDZ8t2kvu8XIAouNCGDGhB70y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\nLg3GmGpjzIvTvI5lV13HuJ7K40QkSdDtSSml1CzTgEIppdS1/ImItItII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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": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "minimum at risk 30000: 14068.38\n", "minimum at risk 54000: 12967.09\n", "minimum at risk 78000: 12031.03\n", "minimum at risk 102000: 11991.21\n", "minimum at risk 126000: 11803.17\n", "minimum at risk 150000: 11803.17\n" ] }, { "data": { "image/png": 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4qWxlwUlNbV8G31NS20rfngxARLuGxabxBA7baTLXzwEg/PIyb9NRZVm57VuW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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 \n", "$$E_{\\theta}\\left[ \\theta \\right]$$\n", "\n", "> 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": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qjP+a0sXLmd4+zfX0B3vTKLOytyAKhUJhKWRZGb/tP6qnXXp1ofF9zvUokUKh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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": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rxGEScD7iw905LsvJtgDPXlCDmZbMLBdR/wxRwi8iIiJtkk25TrolQOPuxhfn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\nxAmnd67sm/Xj/nr+gXTsoDptyTxpWUR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"text/plain": [ "" ] }, "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$\\epsilon \\sim \\text{Normal}(0, 1/\\tau)$. The most common priors on$\\beta$and$\\alpha$are Normal priors. We will also assign a prior on$\\tau$, so that$\\sigma = 1/\\sqrt{\\tau}$is uniform over 0 to 100 (equivalently then$\\tau = 1/\\text{Uniform}(0, 100)^2$)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 100000 of 100000 complete in 17.2 secPlotting prec\n", "Plotting beta\n", "Plotting alpha\n" ] }, { "data": { "image/png": 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cg7VGrmHaKfexa5henArgXOM/8zbyuDch4CcntOPKY9ryxer4F/TetPsAG3bu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\nf4qIEvWRv1TVBSKyBLhLRKYAa4jOPEVVl4rIXcBSYCtwgZ+B6pxLmtf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BRLaKSL7/35igOveIyBoRKRSRC4L254jIUr+m9Qkv/DEMo+7iZDhyGxA8ZbGr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OA/PXMtlieTBjYP3eQ7y3chfTv9xiUboux41hS2V4p8zguTfum70m6NDu3NW7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pymc as pm\n", "from pymc.Matplot import plot as mcplot\n", "\n", "std = pm.Uniform(\"std\", 0, 100, trace=False) # this needs to be explained.\n", "\n", "\n", "@pm.deterministic\n", "def prec(U=std):\n", " return 1.0 / (U) ** 2\n", "\n", "beta = pm.Normal(\"beta\", 0, 0.0001)\n", "alpha = pm.Normal(\"alpha\", 0, 0.0001)\n", "\n", "\n", "@pm.deterministic\n", "def mean(X=X, alpha=alpha, beta=beta):\n", " return alpha + beta * X\n", "\n", "obs = pm.Normal(\"obs\", mean, prec, value=Y, observed=True)\n", "mcmc = pm.MCMC([obs, beta, alpha, std, prec])\n", "\n", "mcmc.sample(100000, 80000)\n", "mcplot(mcmc)" ] }, { "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, 1/\\tau_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": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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IpNxFCCGEENmXlPSYpKRB5GQS/0IIIUTWJiU9QgghhBBC5FCS8AshcgR3r68U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\n4xhDms0XERHpmtTDL50qUFvHjpfeZNND/6T0w6VN+3tNPpy8C87kkBl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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", "tau_samples = mcmc.trace(\"prec\")[:]\n", "alpha_samples = mcmc.trace(\"alpha\")[:]\n", "beta_samples = mcmc.trace(\"beta\")[:]\n", "\n", "N = tau_samples.shape[0]\n", "\n", "noise = 1. / np.sqrt(tau_samples) * np.random.randn(N)\n", "\n", "possible_outcomes = lambda signal: alpha_samples + beta_samples * signal \\\n", " + 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 donâ€™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 Bayesâ€™ 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": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data on galaxies in sky 3.\n", "position_x, position_y, e_1, e_2 \n", "[[ 1.62690000e+02 1.60006000e+03 1.14664000e-01 -1.90326000e-01]\n", " [ 2.27228000e+03 5.40040000e+02 6.23555000e-01 2.14979000e-01]\n", " [ 3.55364000e+03 2.69771000e+03 2.83527000e-01 -3.01870000e-01]]\n" ] }, { "data": { "image/png": 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RJB59NInRo1O5+eZktm+vvD5Ro193EWkJjADeDFp9LvBe4P/vAecF/j8K+Fgp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\n3nKoevMrTVwugZMnCzfV9HQxZD7q1YhWW1Aj+cdngbJpvfuugzp11Gu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80LFjUoFayVyq\nV5d45BE3zz8fWmfSt68XWYbVq43UqRPg88/t1K9ffu/RWEfTSVMhn39u5JdflE3j1Vct9O3ro2rV\n0nWYL1yAl16y8N13wahLroNmNsvUqaMtAmpFkpTuscOHRWw2AVFUujHr15dxh8xJlnnzTWeRUsGi\nCO3alf/TeYUKMG+ek/37RUwmuP76ALVrl9/DqUb4+N//9MyYYaZnTz8bNujZv1+kZk1lasBf/xrP\n+fMiS5eamDTJnaeJ1qpVgFatlPsqEIB33nHw8MNW3O6Ce/DJk4U7b5s3G1i92sbkyS5q1JC1OdMx\nTEw4aWlpaarq1jh1SmDevOARPiND5MIFodSdtP/9T89nnwULkfIHUZ980l2sGq9oQ222cDUkCfbu\nFfnqKyNz55pDFMpvvdXLggUOWrcOYDIpxc4zZzro0UMb7XIpDRpIhU7AiDZ70AjF6YQNGwx8/bWB\n9u399O3rIzW1eOtoYbaQlSVQvbrMP/+ppB5zufdeDwMGeFi2zMRrr5np29fHDTcUPPDodHDnnT6a\nNLGxfbuejRsNHDwo4vEING/up08fH0uXFhxq/uijbho10iQ4IoWa1oWYcNLURv4uHlBmLJZE5b8o\neL3w0UehL6LoRMkkJMAdd3gL7WjSiBxeL6xbZ2DMGGtIa38uw4d7807umzfb0OmUOYOx+D1KErhc\nSjMMKEXeBoPyGSYlRfbaNEqPvXt1jBxpBQQ+/9zEhx/6WbDATr16JT/wnjwp8N57pryMR3527NDx\n0ktOli0zEQgIvPmmif/+10l8fMG/I4rQuLFE48Zehg/34nQqdur1KjbbqFGAjh0DrFxppGJFiVGj\nvHTs6NMcNA2gDJ00QRBMwCbAePF1l8qy/KIgCBWBRUAd4AjwF1mWsy8+ZyowBvADj8myvObiz9sA\nHwJmYJUsyxOv9Npq8Yhzyd+WDcpNWtqjQBwO2L8/eNc3beqne3cfQ4d6GTEidrR41GYLV2LbNh0j\nRliR5VB7EUWZWbMcdO+uRMwEQZksEGs4nYpN792rY/lyAxkZIjk5AqIoM2mSh88+M3LmjMjo0W4G\nDPAVmjKKJnvQKIjS9Ri8P/bt07N0qYmnnnJf/kmX4VJbOH1aKNRBMxhkXn7ZRZMmARo18rN/v54v\nvzQydqyHTp2uXj4QF8clUkcSLVp4ePBBT17KNFY4dUrg8GGRunUlVUkpqWldKLMztyzLHqC7LMut\ngVZAP0EQOgBTgHWyLDcCNgBTAQRBaAr8BWgC9APeFoS88d9zgPtlWb4euF4QhD5l9T7CQWKijCAE\nDXL4cC8JCaX7mhUrwtSpLrp18zJ7toPPPrNTv77MzJlObrqp/NclRSMbNxpCHLS4OJkHH3Szfn0O\nd92lvk7csiQQgPnzTfTsmcAjj1hZvVpRjT96VEf16jJff21kyxYD+/frmDrVypNPhsolaJQPUlKU\nbEB+PvrIFJbvunZtiWeecWKxKH/fapUZMsTD2rU53Hyzn+rVYcYM58XXF5g+3cK5c8V/PbM5thy0\njAyBhx6y0q9fIuvWFXSG1URGhsAXXxiYOdPM2rX6y9YSlgZlmu6UZdl58Z+mi68tA3cCt1z8+XyU\nAWpTgAHAZ7Is+4EjgiAcADoIgnAUSJBledvF53wEDARWX+511ZRfBmVh6dPHx7ffGqlb189tt5VN\nDdHgwb68dvFcIilea7crnVCHD+vw+ZTh7E2aBKhWrfROVGqzhSsxapSHdu38eL3K/L+6dSXq1NHq\nVEBJIdWtG6BCBZkLF0IXzMREmTNnQs+f33xjZNQoD7feGtq9HE32oFGQBg0kxo71hNT46nQyQjH2\n0EttISkJHnvMQ/fufg4dEqlQQaZVKz/VqgWf06pVgLvu8vL55ya2bjXw8896eveOrg55rxeOHhUR\nRQqt2ywpO3eKLFhgQpLg1lt9tGoVIClJZvZsc14T2/r1BoYNKxuFg6KQ3xYkCWbPNvPOO0Eb69LF\nx9tvO6hVq/Sjf2XqpAmCIAI/Aw2A2bIsbxMEobosyycBZFnOEgQh9xZIAX7M9/SMiz/zA8fz/fz4\nxZ9HDVaroqdzzz1emjULxORQXZ8PPv7YxLPPhnqJ7dr5eOcdp9ZujjK2plat6FrwywpBgH79/Hz/\nvY3jx8W8VKfLJZCUJGG3C+zYEbq8bdhgKOCkaUQ3VitMnOimcmWZ119XNtFXXnEWSSewKBgM0LZt\ngLZtC882xMcrjtzy5Ua8XoGpUy00b26Pmm5MhwM++cTIs8/GER8vs2JFDs2bh2/tPXNGYNSo4Cis\nDz4wc9NNPqZNczF3brBG2qse/6wAOTnK2pGftDQDixYZeeIJT6m/fllH0iSgtSAIicCXgiA0o+Dg\nvLBbtxpPyvXrSzHtiJw5I1wUawxl+3YD335rYPz40jF+NdqCRvEJDqcO3UQzMgRWrvSRlhZcXPMr\nueei2UP0k5wsM2mSm7/8RWl+qlWreOtqcW2hSZMAzzyjDF//8089//ufnjvvjI4O623b9EydGgcI\n2GwCGzYYaN48vGuvdMnXsWuXnk2b9HnyTwDduqnr88pvC4mJytzWP/4ITWEsXWpi7FhPqTcmRaS7\nU5ZlmyAIG4G+wMncaJogCDWAUxd/LQOone9ptS7+7HI/L8DSpUuZN28eqampACQlJdGiRYu8LyB3\n9IP2uOwfV6ki0737Wr74wgR0Q2EjABZL+4hfn/Y4uh+npMiMGbOaNm10/PJLTzp0CFCp0nekpcmq\nuL7CHq9enUZWlkCtWkr1x4UL31O9unqvV02PDQbIyFBGfNWpU/avP3Cgj7feWs+ZMzpeeqkLnTr5\n+eOPzar5fAp7vG5dGtOmWYBeKGxk504P0CGsr/fCC90ZOzae3PW9c+ebWL3akPcYutGyZSDin8eV\nHo8Z4+brr7dw/LiO3P0qJWU9O3d66Nr12v9eWloaCxcuBCA1NZVq1arRs2dPCqPMJg4IglAF8Mmy\nnC0IggWlhuwVlHq0c7Is/1sQhKeBirIsT7nYOLAAuBElnbkWaCjLsiwIwk/Ao8A2YCXwpizL3176\nmrkTB7S6E3WSlSWwZo2B114zc/y4SOXKMmPGeBg92lNq6QLNFmKPQODyBdlqsIdAAHbu1PHssxa2\nbg1G/lJSAixfbo8J/UI1UFJbSEvTMWBAAiCwdGkOPXr4w3dxKJ2QX3xhJC1Nz+OPuy+bgi0qR4+K\ntG2bGBLRev11B6NGhTf3aLfDggVGnnsujkBA4N57PWzZos9LgbZr52PxYruqxtIVZgvp6QJbt+pZ\nv95Ay5YBbrutePOjC0MtEwdqAvMv1qWJwCJZlldddLgWC4IwBjiK0tGJLMt7BEFYDOwBfMB4OehR\nPkyoBEcBB01D/dSoITNypJd+/XzY7Up3U7VqslYYrxFW1G5PaWl6hgyJx+8PXaMzM0V86soClQqy\nrAg2//yznh9/1HP+vMCdd3rp2dNf6gLf4aRt2wCPPebmv/+1MGOGmbZt7WFNhX3zjYFnnlFqeDdv\nNrB2rY3rry++kyBJcoigucEg06ZNeB1LUOr2xozxctNNfn7/XY/VKrFzp3JTmkyKnImaHLTLkZoq\nk5rqY8iQsr0ptdmdGhphIBCA/ftFdu7Uc+KEiNksU7u2RLNm/ry5fhoal3LuHPTtm8jBg5d6kjIv\nv+zkr3/1YjRG5NIKEAjAoUMiTqdSBxaOLmy7HZYvN/DEEwXHJn36aQ59+oTfaShN0tNF7rgjnmPH\ndKxcaSuSblpRyM6G225LZO/eoJ383//ZS1T7ZrfDmDFW1q1TDOz11x15AtmlzYoVembMsPDPf7ro\n0sVfrG7c8oRaImkaGuWWzZv1DB0aX2CQclKSxIIFdk2LTkWcOwcej6CKqK0oQu3agRAnLSVF4rXX\nnHTu7FONgyZJ8OWXBiZMsOLxCKSmBnj7bQedOgVKtMH+8IOehx8uKNMvCHLYOjTLktRUiTlzHNxx\nRwILFpho29YZlu/QbhdITw+Vlbn08bUSHw8vv+xkwAAf9eoFaNQowIkTAkYjVKokYyhF6bK+ff3c\nfHOONg2kCMTEAJncgj0NjdKyhZUrDQUcNIDsbJHJk+PIzi6Vl9W4RnbtEunbN5GbbkrklVfMLF26\nJaLXU6ECzJ7t5PPPc1i4MIdvvrGxdq2NPn18hY4YihSnTgk8/XQcHo9i4+npOoYMSWDPnpJtIWvW\nFPQETCaZuXMdNG9etgebcK0N7doF+PvfXSxaZOTQofBssVZrbhdzkHA4sQ0ayAwa5OX8eYEhQ+Jp\n1y6Jrl0TGTHCypdfGkpNtFWvV/e4NjX5DFokTUMjDIwZ42HzZj1//BF6S4mizIQJ7lKfKKFRNL7+\n2pgXtZo500L9+hY6dBCKPZQ7HNSoIVOjhrrTepIEl1bGuFwCaWkGmjUrvmTD6NEe9u3TsWePjmrV\nZO64w8uAAT6aNQtE7QxaoxHuucfLb7/pOHJEpEmTkheXV6gADz3k4bHHlPVFp5Np0iQ8Tuzvv+sY\nOTKe3PFap08LrFljZM0aI126+Jgzx0FKSvRFNcsLMeGkRbp7q6w5f17RopFluP76AMnJsXODeb3K\nZnK5gfWlZQtNmkh89ZWd33/XcfKkiN0OSUkyTZsGaNQoNoeeqxGLJfTxn3/2ZNUqJw8+WPqilNFM\nzZoyU6a4mDIldBZZ/vF2xaF5c4nFi+1kZwvExckRja6Ec22oXl1m+nRXAUHlktC7t4+nnnKxbJmR\nF15w0qxZeJy0GjUkatWSLspLhJKWZuD333WkpKj7EBFu1OQzaI0D5ZD16/UMGaKEbqpXl3j/fTsd\nO0bvybQonDihyHl8/rkRrxeGDvXSq5cvohESDfXxyy86evVKCJmJWrdugHXrbFSqFMG4H7PZAAAg\nAElEQVQLiwJOnxb4+GMjM2dacLkEGjTw88knDho10iRCLofTGd7Re36/MiUg3M7swYMic+aY+PRT\nU0gDR+fOPt5800m9euH5jn/9VcfixUZatAjQrZsvaiYzlDZXahyICSdNDVpIZck33+gZNiyYXzMa\nZT7/PIfOnctn8brPBy+9ZOa//w0Nk7Ru7eeTT0JHtMSaLWiE4vHAp58amTRJUVmHjbRs2Zlly+wk\nJkb66tRPIKDoa2VnKx2e1auXn/0j1tcGj0eRfTl9WsDlggoVlA71ihUv/5xTpwQ8HiVlf7VGgxMn\nBHr1SiQrS4kW3H23h3/9y6VKmZWytoUrOWnlOLYSuzRoIGE0Bg3f6xUYPjyeAwfK59edk6PUGl3K\nL7/ow1a4q1E+MJmUKOuKFTkMHOilfXsfM2a4NAetiOh0yki71q2lcuWgaSj3Rt26Eu3bB+jaNUDL\nlld20CQJpkyx0KFDEk89ZWHbNh1u9+V///x5Ic9BA2Ws0k8/xUTFVYmIiR0s1k5H9etLvPGGI+Rn\n2dlinoBgeaNSJRg3ruDqYDbLVKgQupHEmi1oFMRigZtuCjBvnoOVK9vRvn35jDBrXBva2nBtiCK0\naBHA4xH46CMzffok8Pbb5st2hCYkEBI8AGUSQUCFt5+abCEmnLRYQ6+H22/38corDvLPq//zT3U4\nabKspEzWr9cze7aJqVMtzJ5t4uDB4pvjkCFe5syx06BBAKtVpm1bZdRIs2YSZ84I7NihY906PcuW\nGfjpJx0uVxjfkEZUIorKvVJc/H5lkPvhwwKnTgkFuh81NMo7Awb4qFIlt15N4J//tDBxYhzHjhV0\n1GrWlBg1KrRB5/BhHXZ7GVxoFBMTscZYrDVISIARI7w0bx7gs8+MHD0qcuutkZ8xs2+fyDffGHjj\nDQs5OaE3cvPmOVx3XfEKVCtXhqFDfdx6qw+nUyAhQebECYH33zcye7aZo0dzHdSNVKnSle++s2lt\n5RrFWhskSSmAfu89EytWGHE4lO7H4cM93Hefhzp1NLuKRmJxnygpDRpIzJvnYMiQoJD36tVGzp8X\nmDvXEdK4ZTDAuHEeNmzQc+iQ4np07+5TpTyRmmwhJpy0WCU3rdOxowtJKlnUoKR4vYoq/1//Go/d\nXvCUNWqUJywt5RUrKhIk775rZu5cM15v6GsZDIpQpuagaeTH6YTsbAGrVb5qfdru3Tpuuy0hxLYy\nMwVmzLCQnS3w8suumB9zoxE7dOniZ8kSO/fdF4/TqRj+//5n4IMPTEye7A7pbm3QQGLRIjvff2/A\nbhfo399XrlUHwkFMOGmX84hPnhQIBJQulnC2SasNUSTiN8JPP+n5y1/iQ6QPACwWmRdfdDJ4sDcs\nEgg//6xj9GgrGRkFU7tNm/qZPbsNLVvGluaPRuG4XFCpUlc+/VTPxx8b2b9fxyef2K86bzErSyjg\n/OdSmqN0NEoXtUROog1RhK5d/axaZeNvf7Oyf7/iVrz5ppn+/X20axd6P9WvL1O/vjcSl1pk1GQL\nMeGkXYrNBl9+aeSVVyw4nQI33ODnqafctGvnLyB2qREePv/cUECb6uGH3dx8s5/rrru62KssK061\n2610mFWsKBcYm3PggMjgwQmXpFFlbrzRz6RJblq2DGgdaRq4XLB3r44331TSlZKk2MvIkZ4iqbi3\nbq3Y7pw5prznGo1KunPsWI8WRdOISVq2VKJkmzYZePllC5mZ4sVuThV2BkQRMamTtnWrjn79Ls1p\nyLz1loN77tHCr6XBiRNCnhxGQoJMrVpXH6AcCCiO1/79OpYvN5CWZuDUKWUAcKdOfl55xRkipLlv\nn8iMGRaOHRNp3NhP+/YBWrQIUL9+IC+FpaZag0txuZShycrQbQmzOdJXVL6QJNizR+S998x8/LGR\nXJ006MYTT7h44AEP1aoVbT30eJTv6vRpxSOrVk0mNVVSzUB0jWtHzWtDtJGVJXD2rEDVqnKR7yk1\noSadtJiMpCkjg2RyZ5UpCDz9tJWbb86mdu3oMyq1k5wsk5xc9BNVZqbAF18YmT7dUmBwudcLP/yg\nzxv2nEvjxhLvvutAkojKzfKbbwyMHWtFFOFvf3MzbpyXOnU0Nffi4vUqHZhxcUoX5sqVRqZNs4TY\njcEgM3u2nb59r22guckEDRtKNGxYCheuoRHlKPNotX00HMREJO1SnE54910T//iHhfyOWoUKEt9/\nb9OctAhz9iw8/LCVNWsK97RSUgK8846Djh0D6NShKlJiPB4YMCCebduCRU2dO/uYO9ehjU65Rk6e\nFPjhBz0LFhiRJJgwwcPkyZa8jrJcBg708MQTbpo00WaramhoRA4tknYJcXFKK3DbtgH+7/8Ufa46\ndSSeeMKtOWgq4Nw5kZ9/DjVNnU6mc2c/I0Z4aN8+QGpq+YowmUzQpEkgxEnbssXADz/oueuuyEun\nRAuZmQKTJsWxerWRxo0DjBjhYeTIeByO4PrXqJGfl15y0batX5s0oKGhoWpiwkkrLL9stSodKZ07\n+3G5lE1S68xSBw0bSqxdm8Px40oXndmszAisWVMqcReumutOhg/38vHHppAGi48+MnLnnb6IyqdE\nE6tWGVi92kjVqhLDh3t4/nlLXnF/amqAf/zDRYcO/rwGEjXbg0bZotmCRi5qsoWYX/p1Oq6pFkWj\nbKhbV6Ju3UhfRdnSsmWA2bMdPPKINc+x0LpRr43ly5WT1gMPePjPf8zUqCHTr5+HAQO8XH+9Nm+y\nrDl4UOTYMRG/X2kYqlhRJilJpnLlqw/k1ohedu/WsWyZgRYtArRp49d0KUtATNakaWioFZ8Pdu3S\n8eWXRvx+ReS3SZPyldotTd5/38hTT1lp2dJPz54+UlMlevf2kpwc6SuLTQ4dEnn2WUu++lKlq7tp\nUz/9+vlp1sxPrVoyycnlrzP2wgUwm4nJLu0vvzRw//1K9CMlReKDD+y0axfQ5Gkuw5Vq0jQnLcbx\neMjrhiwvRfgasYvNBnv26Dh/XiA5WeK66ySs1khflXoIBJSOV6XDvWzInZ370ksWdu0qmLwxm2W6\ndvVx991eGjUKUKeOFPW1glu26Jk0KY5atQKMGOHlxhv919QAtHu3yJ49Olq1CnD99dF3SPvlFx09\neyaQ25hnNst8+qmdW27RhMQL40pOWkz0NKWlpUX6ElSHwwGLFhno3z+B229PYNgwKwsXGtmxQ4fN\nFumrKz00WyjfJCZCx44B+vXzc8MNV3fQYskejhxRolp//7uF7Oyye90qVWRuvdXPF1/ksHKljWHD\nPOh0QYfF7RZYs8bIuHHx3HJLIgMGxPPhh0Z27xbxeK7wh8NMOG0hI0PgwAEd331nZMyYeEaOtLJn\nz9W3W58P1q/X07dvIg8+GF+ggSpaaNw4wH33BacKuN0C990Xz88/R0ckQE3rQkw4aRoF8Xph3jwT\nP/+s59df9axZY+SRR6z06pXAkCHxbNqkx+WK9FWqlzNnBHbtEvnzTxEp+g66GlcgEFAOMeUpyZCV\nJfDEE3HMnWvmvffMHDxY9ptlpUrQqVOAmTOdpKXZWLAgh7vv9mCx5P+gBXbtMjBpkpVu3RKZMCGO\nLVv0nDtX5pdbIpo1C2A2B9/Xzz8buPPOBH799cqf+6+/6rjnnuAMTIOh7IzQ5VL2hXBgscCTT7po\n2jQYOXO5BB5+OI5Tp7Sc57WgpTtjmD17RMaOtbJvX2GnNZnJk9088ICbypXL/NJUi9sNaWl6pk5V\ndLfi4mQWLcqhc+fyOfokM1Pg55/16HQyLVsGym0BsCTB/v0iP/yg5/PPjTgcAoMHexk2zHvVyRjR\nQP4aIYDly21FttlDh0R+/12HIEClShINGkhhEyr1++HYMZGjR0V+/VXH4sUm9u0TCRUah3btfPzz\nny5atw5ERcOBLCuZivHjreR/L3Xr+lm2zE6tWgU/v4wMgUGD4jl4MLger1plo2PH0l1bXC5lTZs5\n04xOB/ff76FnTx9JSSX/2wcOKHvMb78F39OSJTn07KmlPfOj6aRpFErTphJLlthZscLA669bOHUq\nf2BV4NVXLbRv79duqHxs2GBg+PDgwut0CixfbqRz5/IZdlyyxMgLLyi6J+3a+XjvPWe5m4Jw+rQy\n3eLFFy243cF18rffdNx6qy/qnbRz52DGjNDq9WuZUfzhhyZmzw4+PyVF4plnXHTt6iux067XQ716\nEvXqSXTr5uevf/Vw4oRIRobIqVMiO3bo2L5dz9GjOsaOtfLRRw5atSqZ05KTA5mZIi4X1Kollcoh\nVBBgwAAfBoOD8eOteVNTjhzR8/PPemrVKqh9uGmTIcRBu/FGH9dfX/qHvx07dAwdGk/umvbjjwbe\nfNPB8OElD6s1bCgxf76dt98288EHyqzb3FFqGkUjJtKdasovq42UFJm//c3Lhg02vvoqhxdfdNKr\nl5fOnX08+KCbWrXK14ZcEls4ckRk/Pg4Lj3lN25cPqNoTid88UWw5W77dgNz5pjClhJRA+vWpTF3\nrompU+NCHDSAu+7ykpIS/fZ/7JgYEi1PTpau6X3dfrsXUQw6YxkZIg8/bOX22+Ovmr67VpKSoEkT\niV69/Nx3n5fXXnOxalUOmzbZWLcuh0aNin+v+Xzw8886hg+Pp1OnRLp3T2LOnKDzGe59Ii4OBg70\n8e23OXTp4kMQlM/QZivopJw9K/DvfwevRRBkXnjBRaVKYb2kQtm3T8ela9orr1jClpasW1fmH/9w\n8d13NhYuzKF9e/Wvl2ryGbRImgaQO1vTT9eufiZM8CDLaO3Sl3DmjIDNFnquqVvXT48e5TPSaDYr\nenW7dgV/9v77Jh54wE2DBtEdXcolPV1k5syCGgn33uvh7393Rn2XIcDJk6E2O2GC+5r04tq2DfDJ\nJ3ZGjozH7w8uCunpegYNimfZshxatCg9ZzYuDuLiSmZvdruioffoo1YCgeB7uHChdBc5nQ5atw7w\n6ad2jhwRcTiEQqelnDolkJ4e/J6mTHGXOGJYVAobgK7Xy2Ht9jeZoEULqVTtpLwSE5E0tSgHRxPl\n1UEriS1Ury5Rr16uQybTrZuPTz91lLsRVbmIItx99/+zd97hUVXpH/+cOyWTMkMgEHqNJPSugGSR\nIj9EBdm1UEWxgaJgWcVeFxV31bVhV4pSFMsqIEgRFQsKKkhTeg0RCCSTyfR7fn9ckskQIJlkJplJ\n7ud58pBcZpIzM+8953ve85Zgt5nfLzh2rPpMG927/w2brXCRkkyY4GTePDupqSq33ZbI5MnxZcrK\nq2rsdu3Y9nQhxsX7ktaurdK/f2htxkwmGDTIx8qVdq680l3kEQLIzVV45524UpMs/vxTYcUKI7/8\nYuDEiZD+fFhYvdrEpElJQQJNUWRQBmIk14nERGjfXuW88/ynjefzeqHQm3X77U7GjXNXWpmUc8/1\nMWRI4H1QFMljjzlJSakeG7HyEE2aQfek6VRLduxQ+PBDM3/+aSAz00u3bn7atvVXqLBk06aSTz/V\ndsRJSXDOOX6s1vCNORo57zwfQ4e6+fxzbcWIi9MqxlcXOnf289VX9pPZg4KXXopj1KjgD7VpU0m7\ndq4qGV9Z+OEHA/feG8+xYwYmTHBx+eUeGjUKfEaNG6vExWmekfffzy9X3S2DATp29PP88wVMmuRm\n3ToDv/xiJC9PcMUV3rNu6jZvVhgyxEZ+vvag/v29PPVUQaXV/zpwQOvnWhxFkbzyioOOHYO9VceP\na6+1sj2ozZqpvPtuPnXqSLp08VXqvNKggeT55wu44QY3x49rnr7OnaP/SLIq8fm0k5W4OEnt2pH9\nWzUiuzOa+nDpVA4vvBDHY48FJmYhJP/8p4sOHVYydGifKhxZ7HHwoGDRIjNLlxqZONHNoEG+IO9M\nLFM4N+zaJRgxIomdO0/dt0o++8xOZmZ0LloHDwoGDrQFJf1ce62LJ55wFtWIU1WttENSkqySwqjL\nlxsZMSJYdaSn+/jgg3yaNYv8+rNtm8L559so9FS1bOnjpZcKOPfcQKbozp2Ct9/+gRUr/o9atVRm\nzXIECV2dmsXZNMPBg4LXX7ewYIGZWrUk99/vZNAgb4WKZuvZnTo1jtatgxcjKQX//nc8F19spn9/\nvV9rKGjJJW4mTKjEyqKVzPLlphICTQjJs88W0KNHdAo00GKqgrOyYdasOMaPdxfF/ygKdOtWda+h\ncWMVk0kWZTgC/PmnkZ9+MtKsWWhHr+WheXOVTz6xc+CAgUaNVFq39heVwJBSSyYYNy6Jw4fjAQNm\ns3JyrLEr0o4eFWzbphAXpyU2VXePf2Xy3ntxvPyydiRz5Ahcd10i777r4LLLImPL1WQ/fHZ0L1rN\n47zzfFxzTUlRsWTJILZvj42q1zqRp3Bu0IKktUVZCMnFF3tYtszOqFGeqO69mJoqadEiWIBJKbDb\noyeoNCND5cUXHZwqeiortjE+Hi64wM+YMR769/cF1Sj7/nsDw4ZZOXxYAfoBMGGCi0aNYjfONC8P\nnn7awrBhNgYPtjF9eny17iITCc6kGfx+Lb4xGMFrr0Uu671GiDSdmkfdupIHHyzgxRcd1KoVmHBN\nJoJa0ujoAIwY4WH5cjuLFuXxzTd5vPmmgx49/JXa47I81KsneeGFAszmgE03beqnRYvoERkGAwwd\n6mXhwny6d/cCkvR0H5mZVZsVvWmTwlVXWYNKr9SvrzJ2rCcmCuaeiV27DLzzTmBnMWOGhV9+Kd+h\nmcdTmNSgA5otDx5cUo2lpMiIJdvViONOPSatZpKSAmPHeujb18v+/Qp2u+Do0a9p3776x6R5PFpd\ntz17FHJyBEYjpKWpdOgQGxXbK4vCucFq1UpNxCJ9+vhYsSKP7783YjRqP0dbPFVCAgwY4KNHj3xy\ncgRWK1WaPeh2wxtvWHA6AytrrVqr+PDD7iVCJWKN07XzW77cRL9+oYnin382MG2aBY9HkJHh56KL\nvLRpo1a7Ytan42ya4YorPGzaZODjj7UdXL16KlOnOiM2r9YIkaYTGnl5WkyD1ytISpI0bChjOlC8\nWTNJs2baArxmTXjr/0QbhUHib70Vx4cfmkuUHPjuuzwyMqr/JFuTUBTo0EGlQ4forzJss1Gs5EnV\n8ddfggULAoWae/b0Mm5cAR06xP69kZIiMRplUE278uQHbtpk4JtvtPfoxx9NzJploVYtlUceKWDw\nYC8NG4ZrxLFFkyaS554r4NZbXTidgsaNZUTLMNUIkaZ70crOvn2Cf/4zgRUrTIAgOVll8GAvV17p\noV2709f4iSWqsy14PLBsmYkbb0zE4ynpe+/Xz0dqauwvQuGkOttDTeLYMcHu3QonTgiaNlVL3Ygk\nJkruucdJVpbCJZd4ad/eT2pq9fCwt2yp8vjjTu6/vzC7XTJwYOhnlhde6GXAAC+rVgVcRD6fwO9X\nePTRBG64wR0T3QPKQ2nzgs0GXbpUzlxaI0pw6JSdnTsV+vcP1DQqTps2Pl57zUGnTvpCH41s2qTQ\nr58NVS352Y0d6+af/3RWSsmDSHP4sGDvXoXjxwWKAmlp/mrTAUEndLZsUZgyJYH16zUxkZiolU3p\n2rV6CoiykJMD339v4quvjFx4oZe+fX3lKhGRlSV45504XnjBgs8nuOYaN19/bWTPHgONG/v58MN8\n2rTR14OKcrYSHDF8iFV2oqkPV7TTqpXKvHl2kpNL3njbthkZOtTG1q2xazbV2Ra01iuBhalRI5Xb\nb3eybFke//pXQcwLtB07FN54w0z//jaGDLExerSVkSOtXHaZjcOHyxe1W53toSawZ4/CmDGJRQIN\nwOEQ7NgR+hxVnWyhTh249FIvzz7rZMiQ8gk0gIYNJffc42LVqjweeaSAtDQ/e/Zo8SIHDxrKnZAQ\n7USTLVTPd1in3AgBffr4WbLEzuefm3n11ThOnAhMeHY7ZGUptG2r756ijdatVT76yM6xYwqqCrVr\ny9P25YtF1q0zMHp0EkePllx8+/XzUrt29XidOqGxebOBvXtLLmMNG+r2EC5MpsKYRzdffx0c0Ltq\nlYmRIz0xHbMc7dQIkabHnYROmzYqbdq4GDXKzf79Cn/9pSAENGig0r597B4jVHdbqFMH6tSpXgL6\nzz8V/vEP62mP4K+4ws3Uqc5yl8qo7vZQ3VGUkmLsn/900rlz6OU9dFsonVM3Q7//bsBuh1q1qmhA\nESKabKFGiDSd8tOkiaRJEz8QfmGWlSX49FMTffv6aN++egkLnfBx7JigoCDwsxCSvn193Habi86d\nfaSkVN3Yoo3sbME33xjx+wUdOvg45xw1qovxno0jR7Ts8vj4Mz+mSxc/993n5MMPzbRq5Wf8eDc9\ne1Zu78uaREqKxGZTycvTXGd2u8Dtju3uDNFOjXBSRtP5sk6A3bsVHnggkeHDrWzbVjmmqNtC7NGt\nm5+VK+188IGdhQvtfPddHu+/n8+AARUXaNXNHg4fFkyYkMQttyTSr5+Np5+2cPBg9HQfKCvbtikM\nHmzlgQfiyco68/gbNpTcdZeLL7/MY/ZsB4MH+0hOLt/frG62EAnq15eMHRso9dKpk69ahhpEky3U\nCJGmE50UJhYfO6YweXJCuYO/dao3cXHQubOfCy/0MWCAjzZtVBISSn9erLJ7t8KsWWb+8x8Lq1cb\nOX687M9t2FDSurV21KeqghdfjOeaaxLZtSu2pvrFi83s2WNg5kwLn35qxn8WR76iQHIymM1nfoxO\neDAaYdw4N3XrqoDk2mvdenHsCKOX4NCpMn7/XeGCCwLBDHPm5HPJJXoPEp2aS04OjBiRFJStOH68\niwcfdFK7dtl+x7ffGrjsMisQ2PRkZPiYN88RVe2izoTTCcOGBd6DhAStCHNNqHQfK2zfrnDokEKP\nHuXPHNUJUONLcOhEJw0aSJo3D2yRp02zcOyY7k3TqbkcPy5Yvz44VPjddy38/HPZw4d79PDz+usO\nhAhswP/4w8j775tjog+j0QgGQ2AeKCgQHDqkzwvRROvWKhdcoAu0yqBGiLRoOl/WCVCvnmTSJFfR\nz9u2Gdm+PbImqduCTnGizR6SkyEjo+TZ3q+/ll2kxcfDZZd5+eCDfKzWgFB74QULe/dG/5RvMkGX\nLsHZmSdORF6kRZst6FQd0WQL0X/HVjEOh1bRetUqI7/9Zjht81qd8nP++T5MpsBC8v33eoCDTs0l\nJUXy0ksFJCUFh6F06hRadrXZDAMH+li6NI/773dSt65K3bqxE9qSmRks0qpxVI5OmMnJEXz3nZE5\nc8w884wW1+l2V/Woyo8ek3YWdu8WPPtsPHPnmgGBEJLZsx163FQY8Xrh0UfjefVVrU5Av34ePvzQ\nUa2boOvolMaWLQpr1hjZssXAhRf6yMz0ljtrEbSsTyG07LxYYN8+waWXWjlwQJsIVq7Mq9FtnnRK\nx+GAX3818MADCfz+e8DznJgo+eGHXJo0iV7bP1tMml4n7QwcOCCYODGRn38OeHakFPz2m0EXaWHE\nZILrrnPz2WcmDh40cOCAVhyxIgtSTcLj0eqI2WwyauND7HatnpLfrxXDTEqq6hFFP+3aqbRr5yn9\ngWWkQYPoXaBOR7NmkpkzHdx4YwIXX+wlLU0XaDpnxm6HN96wMG2aheIJMwDXX++K6c4rNeK4szzn\ny+vWGYMEmoakT5/QK1nrnJ20NJXZsx3Urq2SluYPKl7p88H69QaeecbCmDGJrF5trNDRRzTFGlSU\nLVsU7r47gfPPt3HVVUls2RI9t3NBgdbK6cEH4xkyxMr559s499xaXHppEnPmmDl6NDoCwauTPUSS\nP/5QmDnTzD33xPPIIxaWLDGxb19kP8Nu3fwsXZrP1KkubLaI/ilAt4Vw4HDAjz8a+OQTE3/8UXnz\n0fLlJqZNi+dUgTZ0qJuJE90hl2eJJlvQPWln4PjxUycgyeOPOzn3XF2kRYKuXf2sWGHH66WoxY/D\nAR9/bObOOxPw+7XPY+dOA8uW5VW7NiSh8scfCpddZuXYMW0i/OEHhbfeiuPZZ52IKtY/Lhe8+24c\nDz1UctLcuNHElCkm6tTRy61UhN27Ffx+OOecyJel2L1b4fLLkzh0KBCD8NJLUL++yoIFdjp1itwY\n6tWLXQ9ITUNK+PxzE7fckggI6tVTWbzYHnEbLSiAV18N7gtXr57KU08V0LevL6ZiMU9HjRBpZ+rD\n5XRqguB0zWEzM30MH+5m3TojvXr5GDfOTdeu/qg9UqoOtGwZuJlVVRNoU6YEv+Ft2/rP2iamNKKp\nJ1tFmDvXXCTQCjlyJDo8aVlZgieeKCnQCmnZ0nfaDMaqIBbt4ZtvjIwdm4TRKFm61E56euQXwcOH\nS9pWdrbC/fcnMH9+frU4wo5FW4gmduxQuOsuTaCBNh9t2WKIuEhLSIB//cvJF19ogiw93U+7dv4K\nxaBFky3UCJF2Kvn5mnv0tdfiOO88PxMnumjcOPgDbd1aZcaMAvLzBcnJEmONfKeqjp07Fe69N7is\nvKJIJk501fjK4gUF8PXXJbNgx41zV7kXDaB5c8mnn9p57jkL331nwu2G5GRJx44+Ro700qePN6qD\neKOZzZsVxoxJwuEQgGDrVkOZRdrOnYLduw3Uri3JyPCXWVilpalMn17APfckIGWwgTVpoupJPjoA\nHDig4HQG20fxnruRpGdPPz17RsfGL9zUCOmxZs2aIGX87bcmrr9em6F+/tlEw4Yqt9xSMkfXYgGL\nJbKLyR9/KBQUCNq18xcd8+nA3r3BN7zBIHn7bQfdulXsRjzVFmKRhAS47DIPGzcW3r6SO+900aNH\ndBzFKwr06uXnvfccZGcLpBSYTJK6dWXUtZCJNXv46ivTSYGmYbeXrsqlhFWrjFx3XVLR4x97rICb\nb3aXafNpscCYMR66d/fzww9GfvjBiM0myczUsk4r4tmOJmLNFqINo7HkWhlrCSuFRJMt1AiRVpyc\nHHj44eBZ5fPPzUyY4D7rjlBKwu6l+PlnA//4h5WCAnjzTQf/+Iceo1NI/foqVrUzX9wAACAASURB\nVKskPx969PDx+ONOunf36x7Nk4wa5SEjw8/Rowpt2mju/Wg7cjKboWlTCYQ2UTudcPCgQm6ulrWa\nmqrW+BhEgOPHYdaskrE3pbFrl8L48Unk5wcmsKeeiueSS7y0alU2L5zFAl26+OnSxc/NN8dw0Smd\niNG8uUpqqspff2lH4xdc4KVTp+jYOMYyNWLJK66I8/IEO3cGx1dYLCqqymlFmt0OCxaY+fJLE0OH\neunZ0xeWGBC7XROLhbvie+5JoFevPBo1is2dR7jp2FHl229zcbkEjRqpYRMg0bI7qigNGkguvrj6\nTYCHDgmeecbCe+/FoaoCkLRr52fKFBcDBnhJSQnv34slezh+PHjuMplkmfpZ7t2rBAk00Eq3qHor\nzCBiyRaikWbNJB99ZOf99+NIS/Nz4YU+6tSp6lGVj2iyhRoh0opjsWi1mopnb44d6znjMUxOjmDq\nVC0WY8UKM3XqqMyenU/v3v4KedYOHFBYuzbw9ufkKBw9KnSRVoxmzUL3wujENnv2KMyebSl2RbBl\ni5EJE5IYN87FE084sVqrbHgh4/VqYigcoQxmszZ/uU52Uhs71k1aWulKKzm58D4KTFhXX+2maVNd\npemEl/btVZ58Um/LE06iIx0swhSvedKggeRf/yqgcPG/6CJPiRYkxalVS9K9e+D/c3IU/vEPK2vW\nVEzfFgb+Fkff2UaeaKp/o1OSVq1Uevc+/bH/7NlxYe89GQl7UFUtwP/tt82MGJHIlVcmsWFDsJs+\nJ0cLd/jmGwPbtin4yuAUrVtXcsUVWoHbzp19TJniLlOMX3q6n8cecxIXJxFCcvXVLu64w63HwJ6C\nPjfoFBJNtlDjPGmgNR9u2dKOzwcZGepZa/EkJ8NDD7kYPtxYlNnk8QhuvDGRL7/MO+ntCR2t8XFg\nd5ucrJKSonuNdGo2DRpI3nzTwcKFZl5/3UJWlibKhJDcfLMr6gORDx8WLFxoZtq0eNzuwCYsJ8dV\n9P3Bg4IpUxJZtUpTWAaD5MEHnYwd6z7rca7FAnff7eSKKzykpflLZKSfiaQkmDjRzSWXePH7oWlT\nFYul9OfplI7LBWvXGlmyxETLliq9e/to316PndUJH3rvzjLgdsNnn5mYODExKAV93jw7gweXLy7I\nbodrrkli9Wpton7gASd33eUq5Vk6OjWH7GzBkSMCh0NQp46kcWOVhITSn1dV7NihcMstCaxbF+ze\n+tvfvLz5pqOoNc3ixSauvrpkkOWcOXqB31jjl18MXHihlcLNttEoee01B8OGeXWhplNmzta7s0Yc\nd1aUuDjN+/a//+XTpEmgBERF6gNZrfD00wX84x9u7rvPyahResaUjk5x6teXdOig0rOnn9ato1ug\nZWUJJk8uKdDatPHx7LMFQb0DExJOvzH+/nt9VY81HA4oHrbi8wkmTEgscbyto1NeaoRIC8f5stms\ndSFYvtzOF1/ksWRJXoXrUqWnq7zxRgF33+3SEwYqiWiKNdCpesJlD+vXG/nxx4BAUxTJ7bc7WbAg\nv0TF9U6d/IwbF+w1Nxgkl1wSvobqOqFTHlto2VKleXMf553n4+GHC7jvPie33eZi7VpdpMUy0bRO\n6Fu3EKlfX1K/fvgqG5+uJZWOjk5sYTRKrFaJzaaJrREjPGcsUJ2SovUBvvxyL1u2GLBYJO3b++nc\n+fTzyrZtClu3GkhIkHTs6Nc3dFFEkyaSuXPz+eILM48/rrl6GzdWefnl/CoemU51QY9J09HR0akg\nXi8cOSIwmcLbFPzwYcGgQTYOHtR2c2lpPmbOdNC+vZ4KHi0cPiy44AJbUO/ciy/28OabjmrTjUEn\nsugxadUElwsOHBAcPRoFDRp1dHSKMJmgUSMZVoEGcOyYKBJoADt3GrnmmkSysvQ5IFrw+6GgIPjz\nWLrUxF9/6Z+RTsWpESItms6Xy8vOnVrmWO/eNoYMSWL5ciNePREsZKqDLeiEj2i3h7p1JU2bBh+D\n7tpl5Pff9ZincFNeW6hTR3LBBcGTsZZUpou0WCWc84LXC7/9ZmDpUiMbN5atJmJxaoRIi3UcDnji\nCQuqKrj9djfDh3vZsMGgZxDp6EQAv18rkZOXV9Uj0WJgn3suUHy7kOJN1nWqlvh4uO8+J7VqBY6g\nJ0500bChfiStAz/9ZGDQICujR1sZONDGokUm/CGEtesxaTHAvn0KPXrYmDrVxbRpFgp3aCkpKk8+\nWUC/fr6wH7Po6NQ0du4U/PCDiWXLTOzapW2Ahg/3MGyYh4yMqltwXS749lsjt9+eSFaWQkqKyv/+\nZ6ddO10ERBPbtils3mwgLg7OPddH/fr6nFzT8flgzJhEli83F10zmSSrVuUFxZWeLSZNz+6MAWrV\nUmnf3sfPPxsYNMjH8uVaqv+xYwoTJiTRr5+Xp54qqNKFpDI5fhx27TLgdkvq15d88YWZjRsN3Hef\nk5Yt9YkxUrhcVNtK9evXG7jqqiSOHw8+XNi6NZ5580x88UV+lS26Fgsn7/s8/vpLkJIiadpUt/No\no00blTZtasYcrFN2TvWaeb2C/fuVMif/1IjjzmiPOymNWrXgueecbNpkpHt3H+npwZ/66tUmRo9O\nZNeu6n8EsnGjwhVXJDFokI2PP47jrrsSefjhBBYujOPrr0tvZBjrtlDZuN2au/7BB+MZOtTKihUV\n39fl5MCvvxpYs8bA1q1KSK7/cLNmzRp8PnjySUsJgVZImzYq8fFVL4oaNZJ06aLqAi1C6HND5XLs\nmCA7W0RlbHW4bMFohCuvLFn/sCw9dwupESKtOtC1q58lS/I4/3wPM2Y4uP56F8XjVHbvNvLss/G4\nq3HjgrVrDVx6qY1ffzVhtUpSUyXffBOw9kOHdHMOJ8ePw7vvxjFkiJUZMyysX29k8eIQZpfTsHmz\ngZEjkxg40MawYTYuuMDG8uVV69A3GmHSJPfJfroBTCbJ3Xc7eeopJzZbFQ1OR6ca8vPPBgYOtHLB\nBTauuCKJN980s2mTgqsadkbs18/HddcFXlhmppf27cu+M9Vj0mKU/HzYuNHAtGnx/Pij1vw9NVVl\n9eq8qG9CXR62blUYMsRKXp4mxMaMcfPjj0Z27gwkTzz3nINrr9WrtoeD3Fx49VULzzwTXOhp1qx8\nhg4t39Z3507tMzx6NFhMt23rZ+nSPKzWcg83LOzdq7B/v8DjESQmapuAJk3UkHa9Ojo6pbN1q8Kg\nQbag0iWKIhk50sONN7pp29aP2XyWXxBj5ObC9u0G3G5IS1NLrNF6TFo1JCkJzj/fz7x5+WRlKRw5\nIqhbV1ZLgQawaJG5SKABNG/u5/33i5dzl2es2H42jh4V/P67ge++M7Jvn8LQoV769/eSVLL/dY1i\n3TpjCYHWvr2PFi38bN2q0KiRSq1aof3O3buVEgINoHfv6Hi/mzdXad68qkeho1P15OaC0ykitp60\nbavy0Ud2Ro1K4sQJbU5QVcHcuXHMn2/msce0ftZ16kTkz1c6tWpBjx7li+uoEedD1TnWwGaDjAyV\nzEx/tQ1adTjg88+D+yK2bBn8WkeM8JCRUfpNUNwWduxQGDcukcsvt/Lcc/EsXBjHNdcksnNnjbgt\nzojDAc89F5whcM45Pm6+2cWAATb69LExcmQSW7aE9j6lpsoSsV29e3u5+WY3oorCKavz3KATGrot\naOTnwwsvWLjhhsSIFuTt2dPPokV2hg93Uzx0R1UFDz2UwNNPx5OTE7E/f1aiyRZ0T1o1JztbsG+f\nQn6+oHFjldat1SpbEMtLQgJcfbWHV14RdOnio3dvP3v3KtSvr5KdrdCtm5e773aSkFD237lvn2D0\n6ER27Ai+BRITiQqvTlXicoli8X2SK67wMHKkm5Ejrfj9mvGsXWvi73+3snSpvYRgPhOdOvlZvNjO\n998b8fshI8NPp07+auv91dGJRbZtM/Df/2qlnrZvV0hNjVxmT7t2Ki+9VMCECW7efz+OBQvMeL3a\nHPPWWxaGDfOSmRli9ddqRo0QaZmZmVU9hEqnoADWrDFy112JRW1lkpIkixfn0bFjbHnchIDx490M\nG+bh7bfN3HdfPElJWgFJhwMuvNBLq1ZlW+gLbWHDBmMJgaYoktdfzyctLbben3CTkiJ55x0HBw4o\nNGumkpbm54svTPh8wer+yBGFnTuVMos0gC5d/HTpUoXpnKdQE+cGndOj24LGl1+aKKzFmZWlAJG9\nXxMTNa9at24F3HKLi0OHFHJyBEYjNGlSNXNxNNlCjRBpNQ2PBxYsMHPXXQkUb02Sny+w22PMjXYS\no1Grvn7FFV7ee8/C4cMKDzyguc4uuCD00vBmc7Coa9rUz0svFdC7d83etRXStaufrl0Dk3O3bj5a\ntfKxa1fxKUNis1UPL5jPB5s2GVi71ogQkm7dNC/fmYKXjx/XWv/oWZ+l43DAwYMKBw5osbPHjytk\nZwvcbm0uSkqSZGT4qV9fpUULlSZNqodNxSK5uVr8byGaSKscTCa91tzpqBEibc2aNVGljCPNli0G\n7r47WKABnHuul3POie0bID1d5dNP7Tz5ZDxLlpjo189LixZlf02FttC7t49Fi/I4ckShXj2VVq1K\nZtzoBEhLk3zwQT4ffhjHokUmzGbJ1KkuOnaMvFdMSvj9dwO//mqgZUuVrl19YcsELbSHNWuMXHVV\nUpG3UFEkn35qJzMz+PVlZQkWLDDz3ntxxMXB1KlO+vf3VnlmajTi92tFgh9/PJ4fftAy0EujQQOV\n+fPtdOpU+fNUTVsnTkdenmDPnoAwS0qqmXNiNNlCjRBpNY2cHIGqBk+ImZleXnjBQWpq7N906ekq\nr77q4OhRgdUqSU4O/XfYbFp2bKRd+dWJVq00YXbrrS6EIKQYwIqwYYOBSy6x4nRqNv3yy/mMHh2+\nCpgFBTBtmiXoOFdVBS+/bOH88x0oxZwJH3xg5vHHAy/82muTmDfPzuDBugf2VFwuWLbMxPffGylL\ns/GUFJWJE13UrRv7c1Ss4nQKXK7AZ1VTRVo0USNEWrQo4sqibVs/jz1WwOLFZtq393HRRV66dPFX\nq/6e8fGUq/J6tNtCdrZWhfvYMYUTJwSqCvHxWr2uNm3UqKgdlJhYuX9v8WJTkUADePzxBPr3z6Nh\nw4rbc2ZmJidOQG5uyWOdxo3VIIF24gTMnRtX4nHz5sXpIu00JCbCXXe5GD7cw6FDCocOKezZo6Cq\noCiQnAypqSpWq6RxY5VGjdSwfKbFyc4W+HxaZnFp9e6qYm44elSgKFCnTnTMzadW/69dOzrGVdlE\n0zpRI0RaTaNhQ8ltt7mZONGtF+IMIzk58NdfCsnJ4a1H53RqGVUffmjm00/NHD5cUjBox2/5UZ/p\n5HRqx1zhzJD98cfgaeqvvxRyc0XYFvTkZHj4YSfjxiVS6PGx2VSuuSa4fYfVCj16+Ni+3RB0vWVL\n3Rt7JhISoGNHtUqSlX780cD11yeRny+YPNnFtde6SEmp9GGcFo8HVq0yMnVqAhaLZMaMArp3r7gd\nHTwo2LtXoWnT8rUP0zaBEu0+kKSmxnZ4THWgRhSEiqaaJ5WJLtBKUl5b+PNPhcsvt3L++bW4+OIk\nNm8Oz61z9KjgySctDBxo5bXXLKcVaADDh3tIS4tuMbB9u8LNNycyYkQSGzeGb2o5//xgYVq3rhq2\nhIVCexg40MuSJXaee87BjBkOvvyyZFyUwQCTJ7to0yYwnvR0H6NHV48uF8eOCQ4fjs3EolM5cEAw\nblwSWVkKdrtg2rR4Vq8++4RYmevEli0Gxo5NYv9+A9u3Gxk7NolDhyr23ufkwO23J3LppTYuvdTK\ntm2h34MpKbIoxrdvX1+NzXSPJs1QI0Sajk5FyMuDhx6KZ8MGzaOzZ4+Rxx6Lx+ms+O/+80+FGTO0\nmkSnkpQkGT7cw5IleTz3XEHYj4LCicMBjz4az2efmfnhBxPjxyeGbcG/5BIvCQmB137ffU4aNQrv\nexEfD716+bn2Wg8jR3pITz/94pSRofLxx/l8/nkeixfn8ckn+bRuHfsL2fbtCpdckkS/fjZmzjST\nF3rCdFRx7Jgo0d3ilVficDiqaECn8NNPhqC44exspcK9h3fvNrBypSZE9+838MQT8SF/jnXqSK67\nzo2iSP75T2elhzbolKRGHHdG0/myTtVSHlvIylJYvjx4F/7LL0Zyc0WJCvqh0q2bny+/tLN/v0JB\ngUBKqFNHPdniS8s4jQWP6P79CkuXBga6e7fWZqtBg4p7/zp18rN0qZ116ww0b65ld4aL8thDgwYy\nLK8rmli1ysiff2rLwZ13JqKqcO21nqCYvFgiPl4LESguhDweLcbzTFTmOnH8eMk3tqJFxt3Bp/N8\n8YWZXbtcIdclvPxyD716+crVZq+6EE2aoUaINB2dimAwlLzWpImfxMSKe3MsFuje3R+WeJSqJC9P\nlCixkJ8fvqOzDh38dOgQ2+9RNFPYP7GQBx5IoE8fHxkZ0e0lzMuD3383smaNkb17FS6+2EufPl6a\nNVOZPNnFf/8b6D97xRWeqCmV0qVL8EYjPd1Hs2YVe69r1ZIE4sk0ytPWqWFDScOG+r0WLcToPik0\noul8WadqKY8tNGyo8o9/FI87kjzyiCtqJvxowGaTCBEsWmMhM0yfGzQ6dQoWDW63YP/+6F4ejh2D\n//7XwtChVqZPj2f+/DjGjUvip5+MWCxwww1unniigG7dfNx3n5MRI84eO1iZttCli5/RozXXV8OG\nKjNmFFQ4+755c5XBg4PTM2PVE1rVRNO8oHvSyoDPp31ZLKU/Vqf6kZgIjz3mpGdPH3v3GhgyxBPz\nnq9w06SJykUXefniC61GSM+eXlq00N+jWKFjRz9Nm/rZvz/gNj71+Cza+OEHU5CnrBCHQ/MeNWok\nmTTJzXXXuYkv+bAqpX59yVNPFXDzzS7q1JFhiTdNSoIHHnDx449GcnMVkpPVkAp960QnQsro3+2W\nl5UrV8pu3bqV+/lHjwrWrzcwc2Ycdrvgnntc9O0b3SUQdHSqip07FV5+OQ6fD267zX3G4Hud6GTT\nJoURI6xkZSnYbCrLltmj+rjzoYcsvPJKsPpKTlb54ovoHnek2bpVYetWA+eco9Kpk75RqgoOHxas\nW2dk5UojDoegZ08fgwZ5adbs9Hrrl19+YeDAgac9mw5ZpAkhUoGgKkhSyl0h/ZJKoiIi7cABwX33\nxbN4caB4ZZMmflatsodcETsrS2sWW52KyeronA5V1do4nS6OTye6OXFC67F57JigXj1J27bRLXS+\n+UZr5eXxaGtb+/Y+XnnFUSUtpXR0CtmxQ+HaaxPZsiX4oHLYMA+vveY47Ync2URamU+shRAXCSEO\nAlnAjmJf28s+/Koh1PNlpxPeeCMuSKAB1K+vEhcXmtBau9bAwIE2rr8+scJ1cHQqTjTFGlRHFCW2\nBJpuDxqHDgnuvDOB/v1t/PabkSZNol/oZGb6WLkyjw8+sLN0qVYOpSICTbcFnULKawtSwjvvxJUQ\naKAVGvaXw7EZSkzaK8ATwCwpZRgqREUve/YovPJKsNwVQvLII86QgsV37FAYOzaJY8cUDh9W2LbN\nQKNG+nGpjo5OdLFunZFPP9U2pY8+mkC3bv6wdrfIyQG7XcFsDk/8FWgbgvbtVdq3j35BqVMzUNXT\nZ9SazZp+KE/duVByP2oDr8eiQAu15knhkU0hJpPk9dcdnHtuaDJ4/Xojx44F3uIzVZPXqTyiqf5N\ndeDYMcGOHdoRWSxSaA9SQm6u1mz9dKgq/PGHws8/G2K+0Ovp+Prr4P168Zp3FSEvDz77zMTgwTa6\ndbPxt7/Z+OQTE54obNKgzw06hZTXFgwGuP9+F+PGuWja1E+LFn4mTnSxYoWd888vX3xgKJ60t4Hx\nwDvl+ksxRKtWKvPm5fO//5np1MlPnz5e2rdXQ0pnVlX4/PPgiS4cdbV0aiYFBXD8uNaMOTVVVvmR\nosejLexTpyawZ4+Bdu18vPaagw4dYsurkZ0t+PZbI198YWbzZgPx8ZKmTVX69PHRoYOftm192Gyw\ndKmRG29Mwu0WzJqVz9Ch3hK/KycHvvnGxJYtBtxuLYMvNVVrYVX4ZbVK6taVUZdtaLcHi+wNGwxI\nWbECq14vzJwZx6OPJhRdy8kR3HRTIt99l6cnlpyGggLYtMnA/v0KKSmSTp181KlT1aPSCYVWrVSe\nfdbJ8eMuFEVW+PMLRaT1AiYLIe4FDhf/Dyll34oNI7KsWbMmJGUcHw+DB/sYPLj87v4TJ7T+bMVp\n0ECflKqaUG2hqsnN1UoNvPhiHJs2GTEaJffe62TUqKotzLl+vYGRI5OKCthu2aK1ypo3z4Exhgr7\nPP/8D7zxxpCgaxs2wKJFWimRHj28PP64kxtuSCwKUF+0yHRakVanDnTv7sPpFEyfbmHfvpJK2mKR\ntG/vY+BAH+3b+0lNVUlN1cRcVbbg6dPHx8KFgRjcdu38Fa6Av3+/4IknSqpRsxni4k7zhComknPD\nli0Ks2fH0aGDn4EDvac98vV6Yf58M//8ZwKFBWlvuMHFww87SUoq8XCdCFJRWzAYCDnB8EyEMp2+\ndfJLpwxYLAQ1gW7USKV5c12k6ZSdY8dg+vR43nqreHyk4N57E+nTx1dlsThSwttvW0p0GMjKUnA6\niakiv506+WnVyseuXaefCtetM/HCC5IePfx8/73mSj/bZqtpU8moUR4uvNDLzp0Kv/xiZNasOLZv\nVwCByyVYv97E+vUBL7vRqAm3Sy7x0aGDj0aN1JNeOFlhoVRWzjvPR2KiLKox9n//V1KEhooQAouF\noH6ZiiJ5+WVHhavrxxKHDglGjkziwAFNtN90k4tHH3WWyPLbvl1h6tSAQAN46y0L11zj1uPuajBl\nFmlSylmRHEgkqSzPiZRajZrDhxXatPFx1VUeNm40oiiSGTMcNGigH3dWNbHkRduwwXiKQNNo2FCt\n0mr+QnDaLOebb3bHlEADGD26D/375/PbbwY+/dTM+vXGIrHZoIGkXz8vnTv7eOKJwJFd796le9jr\n1ZPUq+enVy8/I0e62b9f4Y8/jCxaZGLNGmNQGyafT7Bhg4kNGwLCrX59lcGDPVx0kZeWLVWaNVMj\nekTatq3KJ5/YefFFC4MHe+nRo+JJAy1aqHz8sZ2nn7Zw+LCBTp18jB/vpmvXinvpIkGk5oYDB5Qi\ngQbw5ptxjBrlKdEbMy9P4PeXfGN8lZxrtnGjgY8/NpGRoZKRocVV1bQj12haJ0I6mBBCjAeuBhoD\nB4E5Usp3IzGwWOSnnwz8/e9WXC5BRoaPd95x8OKLDlq39tO1a/QVFXS5wO+nSo9ZdM5MXl7JCbt+\nfZU5c/Jp1KhqBf8NN7hZscLEkSMKiiK56y5XiZY0Z2LdOgPz55vJzPTRp4+vyusHar0KfQwZ4iMn\nBwoKBF6vdl8cOiQYMMBGoXejWTMfHTuGdi/XqQN16qh07uzh8ss9ZGcLsrMVDh0SrF9vZNkyM3/+\nqQQt0NnZCrNnW5g924LBIMnM9DF6tJt27fy0aBGZo9EePfzMnu0o/YFlRAg491w/c+c68HggISG2\nyrOEC+8pt4WUgoMHBZ07B19v1Eilbl2Vo0cDAv6iizyV7nVs2FDlwAGFF1/UdgVt2viYMMFNjx4+\n0tNVTOHJKdEpI2UuZiuEeAAYBzwL7AWaA3cA70kpp0VshBWgsJhtZcQhud0wZkwiq1aZi669/LKD\n0aOjMI0J7Sjtrbcs1K6tctNN0TnGSBBLMWmHDgkWLjTz0UdmUlJUhg710revl7S06PDI7tsnyMpS\nqF1b0ry5WqY4I7sdLrssid9+02b6MWPcPPigk/r1q+Y1lWYPW7Yo9Otnw+cTJCZKPvvMHvYNV16e\n1t3kr78U/vpLYeNGA6tXG9m+3VgioF8IyZAhXqZMcdGunV/fYIWRSM0N27cr/O1vtqKYRoB58+yn\njXneuFHh6afj2b7dwGWXeRg71lPU2unYMUFWliApiYi3ezpyRDB3rpknnohHVbVxG42S665zM3Kk\nhzZt/NW6TWJlrxNnK2YbiiftBqCflHJv4QUhxDLgGyAqRVplcvSo4KefgrcYixebolakLV1qZvr0\neNq18zF6tEcPTI1CGjWSTJ7s5oYb3MTFRZ8XolkzSbNmoQkWnw/y8wOegvffj6NNGz8TJ7qj7vUB\npKdrmd67dyv07h2ZOECbTYtfbdXKD/gZNszLnXfCiRMCh0OQl6d92e0CpxP8fsGBA1r2X6tWeqxS\ntNOqlco99zj517+0I/O4OHnG+OROnVTefddBQQHUrq1dy82F1atNPPpoPHv3GrBaJV9+mRfR1lf1\n6kluvtlNr14+br45gT17jPh8gjfesPDmm3GMHOnhppvctG3rx2wu/ffplJ9QPGl/AS2klAXFriUB\nu6SUqREaX4WoaO/OUDh6VDBggDUo9mDkSDczZpyh8FIVsmWLwuDBNhwOQceOPmbNyqdFi+jwzuhU\nf6ZPtzB9eiDAymyWrFmTxznn6IIjlsnNhePHFaSUGI1aBmdCgtQ3gGgFTpcsMbFkiYnJk12cf76/\nTCWdsrMF//mPhbffDnZbrV6dW2ntr/btE3z2mZmnnorH6Qw4exRFMnGii9GjPbRpE1qJqkjidGpx\ndVarJCNDjcrN36mEpS0UsBR4XwiRIYSIF0K0AWYBy8IxyFinbl3JTTe5g66dLk2/qnG7NQ9fYRZX\ncrJkzZoYqpmgE/MMGeLFZApsCjwewc6dUTLD65SL7GzBrbcm0qOHje7dkznvvFr0729jyBArt9yS\nwHvvmVm1ysimTcppK7JXd1JTJdde62HBAgeZmWUTaC4XvPhiSYE2eLAn4sedxWnWTDJpkptVq/KY\nMsWJwaDdu6oqmDEjnoEDbbz9tpns7Oj4XLdtMzBkiJX+/W0sWmTC5arqEVWMUGbGWwE7sBHIB34D\nHMBtERhXWKmsnmzDh3sYN85FYqLk7rudnHdeZNJy8vNhxQojK1YYOXw4gYdoWwAAIABJREFUtBtj\n82aFd98N3PTt2/tZs6bmRILq/fmqnvbt/bzyigMICDWXq2omeN0ewkP9+pInnyxg2jQnKSkqbrcW\nr7h5s5H58+OYPDmRK66w0rdvLQYOtHHnnfF8+qmJ334zkJtb1aPXqAxbCCWrdcsWA6+9Fhzo2bCh\nn4cecmKzhXlgpSAEZGSo3H+/i1Wr8pg82YnZrN2/brdg6tRExo9PZNOmqndb5eQIQOD1CsaPT+Sn\nn0J3QkTTvFBmkSalzJNSjgPigYZAgpRynJTyRMRGF2M0aSJ5+mknP/6Yy113uUhJicwR4v79Cldd\nZT35lcTGjWX7GKXUio4Wb09Vp45k4MDo8/jpVF8MBrj0Ui/z5+eTlqal+LdpE33Zzzqh0bSpZMIE\nN199lcfHH9u55hoXCQkl58CDBxVmzrRw3XVJDBhgZfjwJObPN7N1q1IiE7Imc+CAElSLsGdPLx99\nlE+7dlUXFmAyQceOKg8+6OKrr/J44AEnycnaeH780cRFF1n58ktjpZcNKU5SUnGbE9x5ZzxZWdHh\n5SsPZ41JE0K0kFLuOfl9qzM9Tkq5K/xDqzhljUk7fFjwyy9GNmww0LWrj/POi+5WHLt2KfTpY8Pt\n1gwvJUXl00/tpQY1u1zwwgtxTJ+uBbBarZJ77ingssu8NGmix6TpVD45OdqxSbiqc+tEDz6fJsgO\nHRLs36+wbJmZNWuMHDly+k2l0SiZMMHF9ddX7nFetPLnnwqvvRaHzwcXXeSjWzdfVNba3L9fsHOn\ngcWLTXz0kRm7XfDJJ3YyM6tm45WVJRg0yMahQwE7W7DAzqBBVagcS+FsMWmliTS7lNJ68nsV7Xzi\n1F8kpZRV7+M8DWURadnZgilTEvjyy0CKyosvOhg7NjqzMkGb/G69NYEPPgi4wjt08DF//tnrZ/n9\ncOWViaxerb3W8eNdTJ7sonnz6LvxdXR0qheqqpV2yMnRyo1kZwsOHjQUiTi7XdCggWT8eFe5Fvjf\nfjOwYoWJoUM9Ec18jHUcjsjUxlRVTSAdPy6Ii4PWravuM5g3z8ykSYEXOWaMm5deir4kvkLKnThQ\nKNBOfq9IKQ0n/y3+FZUCrThnO1/esMEQJNBAqwjtCF9Nx7BjNMKtt7qJjw+Iq02bjCxdevbYsoIC\nyM7WPi4hJCNGeGqcQIumWAOdqke3h8pDUbTYtbZtVS64wMdVV3m54w4X//63k/nzHXz+eT5vv+0o\nl0DLzhZcfXUSTz4Zz+jRiezbF/rxVnW3hSNHBDNmxHHxxVY+/tiE0xne368o0LixpEMHtUoFGkC/\nfl7S0wOesx07DCEdwUaTLZQ5Jk0I8eIZrv83fMOpfLZvL6kxW7ZUo772S4cOft54Izj4+qWXLBw9\neubJyeul6MacPNlVoi2Jjo5OdONywdq1Bj780MS8eWbWrDGUiLdxOOCPPxR27FDIz6+igZaDipRw\n0Lxy2i/YvdvIihU1JxmqrCxaZOLBBxP4/XcjN9yQyIYNUe9fKTcNG0pmz3bQrp2mzNq29bF/f2zG\npYVyW1x7hutXh2EcEeVslYMzMoKFisEgueUWV0y0vhg40MuMGY6icgZ79yrk5Z358VYrdO3qo0sX\nH9de6ylThfjqRqx0G9CpHGLNHr75xsiQIVYmTEhi0qREhg2zceGFNpYtM+J2a96SBx6Ip3dvG716\n2Rg3LokNG6p/eZPC+NxC5swxY7eH9jtizRZCITtb8MwzxZu/iqjIxIwk6ekqM2fmM22ag9q1JcOG\nWdm+vWz3QjTZQqm5qUKI6wofW+z7QloBR8M+qkqke3cf//2vgzfeiKNxY5U773TRvXtseJgsFrjy\nSi/t2tn57DMT8fGSOnXOfHxpMsH99zuJj6fKez9WJ/btE/z+u+Gkq9+PUS87pxMhtPqGwYIkK0th\n9OgkFizIp1YtldmztRI7qqpVql+/3sZnn+XRuXP1jdNKTpYIIYuyITdvNpKTo2C1Vt/XfCq5ubBr\nlwG/H1q29JOSEvg/u13rF1uc48erv3g3mwUPPZRQ1NrqiSfief11B/HxpTwxiijLp3T1yS9zse+v\nBsYCacA1ERtdmDjb+XLt2jBunIcvvrAzZ46Dnj39MVGhuBCDATp18vPggy7uustNcvLZH5+WJmu0\nQAt3rMGRI4IJExK5+morgwZZ+e47XaHFEtEUe1IWevXyccUV7hLXpRTMnBlH3bqyqNhoIXa74KWX\n4vHHxt6zXDRooNKpUyDoyOcTFIQYJx5rtlAcux2eflorLPt//2dj0qRE9uwJLO+JiZLatYMFa4cO\n0ZvtGC6kJGjTvHixiR07Spc90WQLpY5WStlfStkfeLrw+5NfA6SUo6SUP1bCOCOO1Uq54tCqsh6M\nTtWzc6fC2rXa2bjfL7j77vgaWVFdp3Jo2FAybZqT997Lp39/DxaL5kFKS/MzZYrrZK3GkurkyBHN\ns1ZdsVph8uSAeK1VS6VWrZqzGd261cDrrweKlH/5pZk33ogrEub160smTw6U3k9P99GxYzVW7Sep\nX1/l/PMDxfekFOzYEUNeGEo57hRCCBmo0fGwEOK0ok5KGdW3fyTOl7duVXjvvTh++cVIz55eRo/2\nkJ4e1W+DDuG3hdzcYEG2Y4eRAwcUUlOr/wRYHais2JPsbMHu3QpmM6Sn+yvUz7JePcnFF3sZMMBL\ndraC3y9JTpZFtR1HjPDQpInK9OkWNm0y0qqVn0ceiY0424pwwQVeRo92M3duHLfd5gq5plg0xSGF\nyuk6dnz4oZnJk7X3QVFgzBgPLVuqnDgh6NOnZtTGtFhg/HhPUdkpgN27DcDZqyZHky2UdjaTCxQ2\noPBRPJVQQ5y8FlvStIJs2aJw8cVW8vI0zbp2rZZNtHBhflQWG9SJHFZryc9br5quU5xt2xQmTUrk\n11+16fbJJx3cdJOnwg2pLRZo3rzkxjApCQYP9pGZmc+xYwqJiTJi3U+iiTp14F//KuD66900bVq2\n/pjVhcaNVaxWid0eEGsWC0GhO3XrSoYNq3mTU9euPtq187Fli3b/pabGljOlNDNuX+z7lmiJAsW/\nCq9FNeE+X16/3lgk0ArZssVIVpZ2bedOhW+/NbB6tZFffzXox19RRLhtIS1NpVWrwJm3yXT25A2d\n6CLSsSdHjggmTgwINIB//SuBgwcjPyckJkKzZmqNEGiFJCdD165+6tYN/bnRFIcUKmlpKrNm5Re1\nRFIUyfTpDurVqzmf/Zlo0kTyzjsOunb1YrVKunQpPUYpmmzhrJ40KeX+Yt/vLf5/Qoh4QJVSloxi\nreacLrHAZtMmwz/+ULjoIiu5uQER17Chyo03uujf30eHDrGVmKBzdurXl8yYUcCIEUnk5gqefLJA\nb2mjU8SuXQobNwZPs0ajDGkOyM3V5pyKHJHqVH/69fOxfHkeBw8q1K2r0qZN7MxDOTmQk6OQlqaG\n1IS+rKSnq3z0UT55eQrNmsXO+wKhFbP9jxDivJPfXwLkAMeFEEMjNbhwEe7z5cxMLz16BNzGdeqo\nzJ2bT7NmKnXqSFq2DI5HyspSePzxBAYNsvLee2ZO6C3pq4xIxBqcd56f1avtrF6dx6hRnmof+1Od\niHTsidNZcsWZMMFNw4aleziysgTz5pkZMsTGvfcmhJytqBMakbQFKWHPHoWffjLw228KO3cquFyl\nPy9UMjJUBgzw0alT9BdkL+TIEcHddyfwt7/Z+PbbyGXHJydTZoEWSzFpxRkDPHzy+4fRSnDkAs8D\nn4d5XFFNs2aS995zsGuXgsej/VzoPalXT/L22w6mTYvn44+Dq8X6fII77kgkLk4ycmTNiw2ozpwu\nNijayMoS7Nun0KWLv0YWMq4KzjnHT8uWPnbv1qbaSy5xM3asu1Rvwd692jFpYeZwbq4gP1+QkKAf\nX8Ui+/cLBgywcuKE5hcxGCR9+3q5+moPHTv6aNVKRsSDFAts3Gjgk0+0Cenuu+NZsiS/Rh3Rl0Yo\noZUJUsoCIUQK0EpK+ZGUcgXQPEJjCxuROF9OTZX06uWnb19/ieOtli0l//53AZ9/bmf8eBc2W/H/\nl+zapZ93VgZ//SX4+msj8+eb2LJFM/VoijWoTHbtUhg7NolrrkkqkZFak4m0PTRpIlm40MH8+XY+\n+yyPF14ooGlTbQE6ckSwerWR774zkJ0d+EyysgS33RYQaAB//7uHunX1hSuSRNIWGjaU3HlnwHXm\n9wu++srMddcl0a9fLZ55xsK+fTUo06EYn38esPPt241R8T5E0zoRiiftTyHEGOAcYDmAEKIuEOY2\nrdWD2rWhTx8fvXv7uPNOF4cPK3i9EB8vadUq+r0usc7mzQo33pjItm2aid98s4tp02qmqe7fL7jl\nlgR+/dVI+/Y+4uP1xb4yadlSpWXLkvf8zz8bGTtWCzRr0sTPm2866NzZz7vvxrFmTWDhMholl19e\n8WxQnarDZIJx49w0bapy662JJztHaDgcgunT4/ngAxPvvuugU6easz74/ZSoW+aOoSj3ggLYsUNB\nSmjVSsVqDf/fCOW2vwWYBAwAHjp5bTDwZbgHFW6q8nxZUaBxY0n37n569fLTuXNkPkidABs3Kgwd\nai0SaACtW2txgtEUayCl1gw7kjgc8J//xPPTT9qiP2aMR7e/YlS2PRSv+l+8uOyBAwaGDbPy9ddG\n3n8/OJjo+ecL6NRJr7sXaSJtCzYbXHaZlxUr8vjPfxw0aBAsxnbvNjJypDXijcDtdq1uX7QUYpen\n7BmjIbGurLawcqWJfv1s9O9vY+rUBPbuDf9OqsyeNCnlz8D5p1x7H3g/3IPS0SkvO3cKRo1KKor9\nALBYJL16lW1G8ni06t379wvS09WIFiheu9bAv/9t4ZlnnKSlRebvrFtnZM6cwKLftWuUzMw1jBMn\ntAl9zhwzjRtLhg3z0LKln8REWeRV8XoF112XxL33OnnkkQQAHn64gGHDPFGxcOmEh4wMlYwMDxdf\n7GX3boXNmw388YeBw4cVevf2ReSzzsoSbN5sYNUqE19/beLYMcFtt7mYNKlq3VYGA2Rk+PnhB20T\naTTKmOkU4ffDG2/EUdhLd/78OE6cELz0kiOob2pFCUn2CSH6CSHeEUIsO/lv//ANJXJE0/myTmRZ\ntcpEVlZglhNC8u67+WRkaCLobLbgcMCCBWYGDrQybpyVe+9NiJiny+WCZ56x8NVXZl5/PS4iBXAP\nHYJfflGKCiz37eslI0P3yBSnsuaG334zcuONSXzzjZl58+IYNcrK3LlmXnnFgRCSunVVWrb04/HA\nnj0GevTwMWdOPtdd59Y9n5VEZa8TDRpIevf2c8MNHv79bydz5ji45RZ3WHsrHzggmDvXzIUX2rjq\nKiuvvWZh61atdmfh6UJVM3x4YPIbPdodFSWMymILBgO0ahX8Hi5dai4qmhsuQinBcQPwAXAY+BjI\nAuYJIW4M64h0dMqJwwFz5gTSFs1myezZDvr395Upc+qrr0xMmZKIqmoP3rzZQH5+ZI4ejh4VrFun\n7R5nzowrU9PfUCgogI8+iuOFF+K54w4XoDJ1qpPk5LM/b88ehaNH9cSCcHO6OJtXX43HbJYsXJjP\nVVe5Oe88H1OnukhP9zNnjp1LLvFis5V8no5OaXg8sHq1kcGDbdx6a2JRoXXQMktfecVBnz7R4VXv\n1MnHww8XcPHFHm691R0zpUMArrzSw6mNmH7/Pbyu0FAk3z3AICnlhsILQogFwEfAm6U9WQjRBJgN\n1AdU4E0p5YtCiNrAArQs0T3AVVLK3JPPuQ+4Dq0l1RQp5Zcnr3cDZgIWYImU8vaz/e1oikPSiRxx\ncXDhhVo/w0sv9TB2rIfOnYPbw5zJFvbtE9x+e0LQtd69fSQnR8b17nCIIgHo8wn27FFo2zZ8O8i1\na4088kg8IFi3zsCkSW46dDj7zvnbb7VA9ilTnNxxR+llIqoDlTU3tG3rp0ULH3v2BE+5P/9sJCVF\nMmNGfNG1evVUOnb0kZrqrxGfQbRQXdYJhwM++sjMHXckIGWwAbVv7+Pf/y6gRw8/xsiVJAuJ5GS4\n9VY3Xq+b+PjSH18ZlNUWunTxc889Lp55JjDwcHecCWX7ngJsOeXaH0CdMj7fB9wppWwP9AYmCSHa\nAPcCK6SUGcAq4D4AIUQ74CqgLTAEmCFE0ZT1KnC9lDIdSBdCDA7hdehUU4xGuOsuF998k8fTTzvp\n2rXs/ft27jSQkxP84PHj3RGrJ2Y2S4rvwA4cCJ8nzemE55+3UBgrsWWLgauvPnvCwPbtCtdem4jd\nLpg5M45jx3R1EE6aNZPMn+8gMzNwtBMXJ+nf30vt2sGT+pEjCldeaeWXXyq2I5cyODlBp2awfr2B\n228PFmhduniZO9fOxx/n06tX9Ag00LzM27crrFtn4OefDZXSMi1cJCXBpEku5s2zM2iQh5tuctG7\nd3hjV0L5qNYAzwkhpp6sl5YIPAV8X5YnSykPox2VIqXMF0JsBZoAlwEXnHzYLGA1mnAbBsyXUvqA\nPUKI7cB5Qoi9gPVkIgNo3rnhwLIzDnzNmmqzS9I5O4mJkJh45p3MmWwhLy94YrjxRldEg+zj4qBW\nLVlUs+zUNPSKcOiQwtq1gVvbYNAaMJ+NJUtMHD+uCcXjx5WYSoOvCJU5N6Snq8yenc/u3QZOnBDU\nr6+17tm/XwY1gAatU8HTT1uYPdtRLu/C778beP31OLKzBY884qRDB12tlUZ1WScSE+HSS73UqiXp\n3dtHWpqf9HQ/tWtX9chKsmePwvPPx/H++3FFYSYNGmgdfLp0qbqYuVBswWqFwYN9DBrki0iZnFBE\n2kS0Y8lcIUQOmgfte2BUqH9UCNEC6AL8CNSXUmaDJuSEEKknH9YY+KHY0w6evOYDDhS7fuDkdR2d\ncpOWpmXaeTxwzz1Oxo3zRDQeKCVF0qaNn7Vrtbv68OHw3d2HDgm83oDo7NDBT2LimR//11+Ct96y\nFP2cnCxjKi4klihsAF6c5s1V3n3XwV13JQTVRzt8WClXmYTffjMwfHgSeXmaTRmNMGuWQ/9Mawjd\nu/uZPTvCtX3CgNutJU/Nnx98XHH4sMIjj1hYuNARUy32IlXHMJQSHFlA35OxZY2AQ1LKA6U8rQRC\niCRgIVqMWb4Q4lS3R9gOdBcuXMhbb71Fs2bNWLNmDbVq1aJjx45FCrkwg0P/uWb9XEjx/+/QQeW5\n5xYjJfz9730wmSI7nrg4aNNmJWvXWoB+1K+vhu33Oxz9Tr7C1QD079/jrI+3Wvty8KBS9PjMzN7U\nqyej5vOqCnuo7J9bt1aZOHEZgwcrFBT0x+uFxo1XsmGDPOvznU7Iz+/PgQMKJtNq6tVTeemlwScF\n2moA9u/PxOOBn36Kjvc7Wn8uvBYt46nuP69c+R1ffRUPDERj9cl/+9Gvn4+1a6tufJmZmRH9/WvW\nrGHu3LkANGvWjNTUVAYOLHwfghHy1EpyZ0EIkQxcwkmRBiyWUpa5XbgQwggsAr6QUr5w8tpWoJ+U\nMlsI0QD4SkrZVghxLyCllNNPPm4p8Aiwt/AxJ6+PBC6QUt586t9buXKl7NatW5lfn45OZbJxo4H+\n/a1I+f/snXd8U/X6x9/nZDRt0pZVNmWUvQsqyB5y2aiAyFIUvYqCICrXCXpRRJyIol6814UXFRFU\ncKEoKvgTELgge28om2avc35/HNs0tHQmzUly3q+Xr5fGJjlJnvP9Pt9nfB6Bt96yMWJEaGoZ1q3T\n0b+/EgY0GmV++CG70HTXypWKiGYOCxfaGDhQmy0bDZw8KdC5c0quLmCbNj5GjfLw8ssmTp9WHnvo\nISePPRaGad4aGmVk7Vodt95qyS21MJlk7rvPxbhxoZUiUTubNm2id+/eBRbjlUSCoxdK9+Vk4Grg\nPpRasYLdv4J5B9iR46D9xZfAbX/9+zjgizyPjxQEwSgIQn2UcVTr/6ptuyQIwjV/NRLcmuc5BXL5\niVkjflGTLTRu7OfRR11YLHKRnZcloUYNiYoVFafsn/900Lx54fVIec9pZrOsGv2k8mDNmjUcParM\neP3zTxGPJ9JXVDLS0mTGjQsUEG7ZomfmTEV2pX59P0ajzKBBmsNdHNS0NsQLnTv7+emnbL77Lpuv\nvsrml1+y+cc/XBF30NRkC/oS/O3rwF2yLC/OeUAQhJuA+UDTop4sCEJnYAzwpyAIm1HSmo8Bc4DF\ngiCMR4mSjQCQZXmHIAiLUTpKvcC9ciDsN5FgCY5vS/A5NDRUgcmkNCgMGuShadPQFXanp8t8+qmN\nU6dEOnTwFlkrkZwcWBCnTHGyb58Y1kkLasLlgieeSGL5ciOiKPPssw5uvtlDamqkr6x46PVwyy1u\nFi1K4MwZ5Yd2OASmT09k1iwHDRv6Q3oA0Cg5Lhfs3i1y/LhIdraAzydQqZJERoZEw4ZS3E+TSE+X\nSU/XbPRKFDvdKQjCRaCyLMv+PI/pgbOyLBchkRkZtHSnhkbRnDsn8NhjidSuLbFzp44//tDzyy/Z\nuZMKYpmjRwWuuio1qNHijTdsjBwZXdGnbdtERo2ycPx4YMevVk3i66+tBQ53jwWcTqVkYNcuHZUr\nK9FoNajV50XpXjTx4YfGfJplRqPMxx/b6NEjfF3kGtFBSNKdwEKUCFZe7kGRwNDQ0IhSBEFGp5NZ\nvDiBb781cvasyMWL0aNVVBaSk2UyMoJP8Q8/bA75oGS7XXEISzpmzGqF7dtF1q/XsWOHyIULBf9d\ny5YSS5fa6NMnkK/NyhLZti12wzQ//WRgwIBkpk41c+utFoYMsbB3b5ha7ErJ4sVGFi5MyOegAXg8\nQpm18DTKB78fPvjAyD33JLFuna5cyyJKYtGZwEuCIBwTBGGdIAjHgJeATEEQfsn5JzyXWTbUlF/W\niCyaLeTn6FGRjz82/dXhqQw5NpmKeFKMsG3bGqZMCS6qt1qFkDlp2dmwZo2OW26xcPXVqfzxhx5/\nMTM7Fy/CE08k0rVrKv36pdClSwp9+6bwwQdGDh7Mf32NGknMn+/g44+t9O/voW5df9QMqy4psgzv\nvx8cnTp2TMfrrycU+/u9nHCsDV27eoPKCXIwGGTuv9/511ghDbVxuS1kZQlMn57EJ58kMHBgMp9+\nagzLvOWCKElN2tsUY/yThoZGdJFTy5RD27Y+0tLUlTYKJz16+OjXz8O33waExESx7M7NiRMCc+ea\ngjToLlwQGDzYQvfuPm680VNo7Z/fL/Dbb3mXaIF9+3Tcf7+Z+vV9fPCBnRYtgp9fpYrM3/7mo0cP\nHzabELNOmiBAenr+727TJj0uF4XqApYn117rZ/XqbA4eVKLToqiIWFevLtGokaQq5X+NK5OQABUq\nSFitOiRJYMqUJBo08HPtteGvpSuRBEe0odWkaWgUzerVeoYODUhwvPGGnZEj4+uEf+qUwKefGvng\ngwSuvtrHU085qVq19GvjkSMiU6Yk8fPPATXOfv2U7zTHGaxTx8/y5VbS06/8Phs36rj5Zku+kWWg\njPr57DObKpXky4MdO0QGDUrOlR8BeOwxJw89pMmNaISeJ55I5I03AgeuJk18LFtmC0ntbmE1aaXy\n4wVB+FOW5VZluywNDY3LOXxYZO9ekawskebN/fnU6cNBjRoSJpOMyyXQoYOXHj2iq2g+FFSvLnPf\nfW7GjlWGPJcl3Xv0qJDPQatQQaJ7dy+PPpqU5+90bNmiJz39yt93+/Z+vvrKyhdfGHnzzQQuXQo4\nJFWrylx+xt6wQcfZs0Ju52C4VNDVQPPmEl99ZWXVKgObN+vp29ejFeFrhI1Ro9z85z8JuN2KL7V7\nt57t23VUrx5emyttsLVuSK8izORVkdaIb9RqC243/P67nrvuMuemH9u08fHVV1aSkop4chlp3Fji\ns8+s7N2ro1s3X1x0deZwuT2UNSrl9cKHHyYEOWjJyUoX32OPJZIz9D6H4iQymjSR+Mc/XIwe7ebk\nSRGbTSApSSYjQ6JSpeC//eQTI++8Y8JkkpkyxcWIEW7q14/d37NZM4lmzdxA2YfNqnVt0Ch/CrKF\nZs0kXnnFzr33WnIfO3Ik/ynI7VbSo6GitOes+Gj90tAoBxwOWLrUwNChlqD6sHbtfOUyb1EQlNqZ\nW2/1qE7CINrYvl3HSy8FwnC1avn58stsrrnGz4wZLnS6gMNUqZJE06bFj5TWri1z9dV+evb00aGD\nnypV8jtfw4Z5ACUqOmdOIkOHWti0SVcsZ1BDQ+PKiCL06+dl1ixHbs1qXmds2zaRZ54xMXBgMitX\nhq7YsCQ6aa8A78uy/D9BELrIsqz6NjmtJk0jGli7VsfgwcnkPfso45ysmhBpHk6cEDh4UBEEbdpU\nUqX+1+LFBiZMsCCKMrfd5mbCBDcNGyrX6fMpul5//KHDaIRrr/XRpEloP4PLBa+8YuKFFxJzHzOZ\nZD780Ea3bj6tUF0jLvH54Lff9Fy8KNC4sZ9GjUovIuz1wp9/6jh+XKRVKx9168qsXavn5pstOJ3K\nGt6rl4fFi+3FLjcIVU2aDvhOEIQzwEJBEA6VZsC6hoZGAJsNZs0KToMlJsp89JGN5s01Bw0UjbH/\n+z89kyaZc+dRzplj5+9/V19zQ8uWft5910a9ekqULO9JW6+Hdu38tGsXvt/VZILbbnNz6JDIp58q\nb+5yCdx8s4VFi2z06aPVbGnEHz4fzJyZyKZNehISZKZOdTFmjJtatUoeYjYYgu/jzZt1jBhhweUK\nrOGZmf6Q1YMW+2VkWZ6MMlj9EaAtsFMQhB8EQbhVEARL4c+OLJo2lkYOarMFh0PgyJHAka5tWx9f\nf51Nt26+mC76Li7nzsEbb5gYMcKS66ABpVpcCyLU9tC8ucT113tp08Yf0rqUklCjhszMmU7uuceZ\n+5jfL3DnnRZ27tSM6kqobW3QCB05hxcAt1vguecSueMO8xXFj4trC+fPw+TJSUEOmsEgU7OmxNmz\noakKK9EdK8uyX5blFbIsjwI6AmkoMzRPCYLwb0EQaoXkqjQ04oSYm//sAAAgAElEQVSqVWUWLrTx\nzjs2vvkmm08+sdGmjfrSeJHA64X3309g9uzgSGPbtj7at9ciQqCI5e7fL7Btm8iePSLHjws4nVCt\nmswjj7hYsMCG0ag4tFarotvm0hQqNOKQ3r29NG0aWDfWrzcwapSZPXtKf3A5eFDH9u15E5Iy06a5\neO01EydOhMZJK5FOmiAIKcBNwFigNfAZ8D5wBHgQ6CXLcuuQXFkICGdN2tmzArIMaWlaRa6GRjj4\n3/90XHddMpIUWOwaN1ZEXONlAPyVcDrh55/1zJqVyM6dutzvKDlZpkkTH3fc4aFjRx916kjs3Cmy\nbJmRt95Suj5/+SWbmjW1dUsj/ti+XWT48GSysgKOWaNGPpYutZUqOv/bbzoGDUoBlEktDz7o4qef\nDKxfr+fTT6307l28w2RIatIEQVgC9AV+Ad4CPpdl2Z3n/z8AXCru60Ursgxr1ui5774kBAEWLrTR\nsmV8bxgOBxw8KHLhgkDFijJNmkSXkvapUwJuNyQmUiYBU43QsmePGOSgjRrl5qGHnDEtKVFczp4V\nmDDBTHZ2cBTAahX44w8Df/xhoHp1RVqlRQuJpk1d3HqrB59PpkYN7fvTiE9atJBYssTKLbeYOXRI\n2aT27tXz5ZdGJkxwI5Qw+NWokcR//mPD6RSoU8fPtGlm9uxRyldstvJPd/4ONJJleaAsy5/kddAA\nZFmWgGohuaoQE8pag927RUaNsnDkiI7Dh3X885+JOBwhe/mo4/hxgSeeSKRbtxSGDEmhZ88Uvv7a\nUPQTI8TltrBxo47evVPIzEylV68U3n3XyJEjmsKMGmje3M/YsS4eftjJ8uVWZs92hNxBi9Y6pDp1\nZJYssdGy5ZVP6qdPC5w7pyzxOp0yRqlBA7nEG1G8EK22oFEyFEfNxqBBARfmuecSg9KTxbWFtDSZ\nG2/0Mnq0h8qV5aDUaahkb4od75Bl+cVi/E3MuysbNuhxOAI/5h9/6Ll0SRGXjDfsdpg9O5FFiwIV\n0j6fwOzZiXTv7iU1NYIXV0z+9z8dJ08qN9aJEwIPPmimTh0/H35oo1Wr+I6QRpqWLSXmzXMW/Ydx\nylVX+fn8cyu7duk4cUJkzx4dWVkCfr9Ax44+mjXz07q11iEcizgcSs1mNKyxaqRBA5nXX3dw771u\nFi82cvGiUGpJjhzq1ZO46SZPbld1qOYfR1FSqvSEUkV6y5bgX9JgIG5PpidPiixalF9ttVEjf5nG\n6oSTy22hXTs/RqOMxxP4EY8e1TFunJkvvrBRp078Od+xxKFDItnZkJICtWpJGC4L8ka7wnylStCp\nkx/wA9E1zuv4cQG7XcBkgpo1I18iUZQt2O1KSYQauq7ffTeBhQsTmDjRRZ8+3riaEhIqUlKgY0c/\nHTvmPwiWZl1ISoL77nPz/fcGqlSRQiYMrgJziy6qVQu+GW680RO3dUwJCTIVKwZ/9qpVJR55xBkx\n+YGS0qaNn/fes5GYGPw5Dh3Ss39/GY9WGhFl1So9Xbum0KNHKh07pvDkk4kcOhSnJyqV8ccfOnr0\nSKFjx1Q6dEjhwQcT2bBBF9bSEa9X6YT99Vcdv/yiY/NmHcePF98evv/ewNSpiWzdqkOKYJDd64Wv\nvzawZ4+OKVPM3HabucDxRBrlT8uWfr77zsqiRfaQyQTFxS8bylqDbt28uSMhUlMlxo1zq+JkFQnq\n1JFZutTK0KEeunTx8uSTDr780krz5upNE15uC6IIffv6+P77bKZMcWKxKL9tmzY+atVS7+fQKBy7\nHZ5+OhG7XdmEPR6Bt94yMXashaNHS157oqHUuO3aJbJ1q8i2bSJ79ypRytJw9mygXs7tFli40ETf\nvsnMnJnI6dOhd6QvXYLXX0+gS5dUrr8+hRtuSKF37xT69Elh+XIDNlvRtpCSIude52efGbiUp00u\nO1tpQPKXQ3bZYIDBgwNR0/XrDTzySCJnzmgHkFBRlnWhUSMpd8pIQezeLfLzz3p27RKL5ezHRboz\nlLRr52f5cisHDuho29anaoekPGjTRuLtt+34/UQ8XVFaBEERIX3iCRd33unG44HUVDnf8GqN6CEp\nSRm7tHVrsFHu2KFnyxY9depEV2owkhw6JLJ8uYEFC0wcP573RCrTqpWfe+910bu3r8BZoleiTRs/\n3bp5+eWXvPlngQULTCQkyDz8sIukpJB9BHbv1vH00/lf8NQpkXHjLHzxRXaRZSutWvlp3Vqxqbvv\ntjBhgpMHHnBz7pzAffclcfCgjltvdXP77W5q1w5vdqVTJ19Qmca33xr58ksvt93mKXNtlUb42LlT\npF+/FKxWAaNRZv58OwMHFr4WlUgnLdrQZncWn6wsgdWr9axebWDYMA+dO/tITCz6eRoaauXAAYGJ\nE82sWxdciLZokY1+/TQnrTj4fHDXXWY+/zx/7WleXn3Vzi23lGxM16FDIq++msD77yeQV6xYFGXW\nrbtERkbo9qYzZwQmTkzihx/yfw5BkFm+3PpXbV/hrFuno3//wJzdiROdpKdLPPywOfdvBgzwMG+e\nPayHPEmCDz80cv/9gfc1mWR+/TWbjIz4DhyomSVLDNx1V94BTTIrVlgxmTZcUSdN99RTT5XP1UWA\ngwcPPlWjRo1IX4bqcbng1VdNTJ9uZvt2PZ9+aqRHDy/p6bHrwGvENl4vVKmiqIxfdZUPg0EmLU3i\n0UeddOniDWmUJpYRRahUSeaHHwxBXe15adTIx4QJ7hLX5laoINOtm4/+/b1Ury6RnS2QmiozcaKL\njh1De0g0m6FHDx/XXqtEoHI+14ABHmbNctK+vb9YmYAqVZTn/vab4vhv2GCgQQMJi0Xm8GElhLV3\nr46//c0b1qYjQYD0dD9ut8DGjcqF+3wCvXt7NSdNxRw6JLJ0ad6CbQFBgMzMIzRo0OCfBT0nShNU\nJWPNmjVR38UVTvbtE3n11bztmAJr1hjo0iX22vc1Wyg+bjecOydQvbocFXWXdjts26Zj5UoDa9ca\n6N7dyy23uLnhBi833OBFkvJ35oXDHmQZbDZFzNLrFZAkGVlWUrBVqshRl47q2tXHjz9mc+CAjlOn\nBLKzFbkCi0X+S3tNKvXklaQkaN/eT/v2fiZPduXKSoSjYz4tTaZ/fy/9+3txOMDvV94/5/coji2Y\nTHDHHW527NDx1VdKVG7BAhOPPOLkxAmRvXuVF1NkfcK7flasCPff76J6dYlZsxLx+QQ8JQtmhoSC\n7qtoJ1z7RKNGEsnJMlZrwMC3by98QYgLJ02jcM6fF8ibbgAicrNrqIdjxwReecXE558bWbTIRocO\n6nbYT58WeO21BObPN5Fjy+vX67nqKh+1ayuCr+HcSBwOOHBA2aS/+srIzp2KZtnFi8JfUxNkqlaV\nadnSx403eunaNboi1bVry7nfY7gwm4v+m1BRlkhq1aoyzzzj5OhRMbfm8YUXTMya5eTJJxNxu4Vy\n6/ivVk1m4kQ3vXp5ycoSadasfO9Tr1eRA6lXz8911/lizlkLNY0aSSxcaGPsWEvuRILRo92FPker\nSSuArVt17N4tkpEh0aKFP2rkJErLli0iPXumkNdRW7Ysm+7d1b0xFwerVTkpa+mt4nPmjMA995j5\n8UclpXP//U5mzFDvVG6nE+bMMTFvXnB+TBBkfvjBSmZmeO343Dl44w0Tc+eakOXihIBk/vMfOzfe\nqNXFRTP794uMHWtm927FUatb18f48R4MBplRozwRFZq122HdOj3/+5+O3r19tGkTnntg/36Ba69N\nRaeDH3/MplkzLdVaHHbuFNm1S4fZLNOunZ8jRzZesSZN83sv4+xZgdtvT+Luuy306aO0Wsf62KeM\nDIkpU3I2YZnJk520axf9Dtr69ToGDkxm6FALa9ZEVtsomli/Xp/roIH6UxkHDojMm5dfPfmZZ5zl\nElkQBKW+KTm58ANv1aoSd9/t4ssvrfztb5qDFu1kZEh88IGdFi2UCOPhw3qMRpkJEyLroIEyGWf4\ncAvPPJPE4MHJbNsWnpv4wgURn0/A7Rb46afQjQOUZfjzT5H163WcPx+yl1UNzZpJ3Hijl7/9reiu\n6LhId5Ykv2y3w8GDSo5YlgUmTTJTs6aNHj3CG+qPJBaLUtvQv78XoxEaNvRjsRT9PDVz+LDIyJEW\nLl5UFqcRI/SsXJnNxYu/aDVphXDxIjz3XLDD07x55B12j0dxFgsq7s6piclxwi0WmeeftzNggLfI\nyRehqD2pVAnuucfN9dd7OHdO0f/yegPXm5QkYzbLVKkia8rwEeDsWQGfjyK/+9LYQqNGEosW2Zg/\n38SCBSaefTaJfv181K0b2RPhl18ayMmM2GwCX3xhpGXL0EfD8wYwXnvNxLBhnnyC76Vh+3aRvn1T\ncLkEBg92M3u2k5o1y+/eUVPtclw4aSWhYkX5Ly2cnFOBwOOPJ7JihZWKFSN6aWElNRWuuSbym3Go\nOHVKyHXQAFwu5aSXmRnBi4oCDh8W2b49sCyYTDItW0bWLn7/XcfMmYlUqSIzdaqTzMzgDbBJE4lv\nvrFy8KBIhQoyDRsqxezliSjm1G3JgBayVQvbt4u59T933ulmxAg39euHdrOvU0fm8ced9O3r5T//\nScBqDenLlxhJUlKxefnmGwOTJ7tITg7te+U9NGVliZw5I4TESdu/X4fLpTiZy5cnUK+exKOPulQ7\nbjCcqDyRERpyPGJJUk5VhaUvU1Jg8uTgQr6dO/Xa2I0oo6AOusOHRdWcjtRKjkJ/Dg8/7CxUPTvc\nHD8ucOutFn7/3cCKFUauvz6F//0v+Mc1GuHqq/2MGKGkD0rioGn2ENscOiRy+LCOc+dE5sxJ5Oab\nLezZU/BaXhZbSE6Gnj19vPOOPeIC56Ko3A95MZnCIzZ+eYo/Kys0+2RCQvDrvv666Yq/WzhQ07oQ\nN57H6dMCc+cm0KtXMjffbOHbbw1XPPF07eqjb9/g9sYcr14jOqhXT6Jt2+AUdbgLyGOB5GQZQVAW\nyAEDPAwb5oloTVp2tsDZs4ELsNkEnn3WFPN1osXlwAGRf/0rgddeS2D1aj0XLkT6itSFkuIMbPj7\n9um54w5z0Giw4uD3K1G5RYuMTJuWyIcfGjl1Kv9rGI3qqOEcMCAwvhBg8GBPWMTJK1SQg+YeX7oU\nmn2ydm0p6PplWSh2oMTjiS11AhWYU/hZs2YNmzfreOaZJI4d07F2rYHRoy18+qkRXwGlZmlpMi++\n6GDCBBc6nUxmpjfiNQYaJaNKFZnXXrPTqJHyA/fqpcgeaLMaCyenRfy992y88IIj7ONtisJgkKlZ\nM/je+/lnA6dPh2bpinZ7+O03PY8+msSTTyYxdGgyU6YkceCAdqDMoVEjP8OGBe/Y27fr840Lgyvb\ngtUKCxca6d07hUmTzPznPyYmTzbz55/qFbxr1crPhx/ayMjwc9NNbm64ITxeS1qazKBBbqZPd/L4\n486QNWc1bChx113BGa3Lo/wFYbXCyy+bmDnTxMmTpb8P1LQuxE1NWkFq2Y88kkSnTj6aNs1vWbVq\nyTz1lJO773aTmCiXm+6NRuho0UJixQob584JpKVJVK4MR45E+qrUjckEAwaop0nG44Fx49zMnh0I\nA4iiOqIVaiA1NXhdWrEigb17dSxaZKd+fe1gmZIC06c7ycoSWbMm0H24bp2uyJmJoIzF+uQTI//4\nx+UibjIpKerdEwwG6NfPxzXXZGMyhU+CyGRS3ufOO83IMkyZ4qJfP2+ZG89MJrj3XhfbtulYs8aA\nIMjFKmPYu1fH888ra0W9ehJ33hn9IbW4WOq6dOlCkyZ+LJbgm8rnEwoNzxqNULeupDloUUxamkzT\npoqDBuqqNdAoGqtVZMMGPfff78RoVFJXzz7roFat0Dgg0W4PmZk+atcOTuPv3q3/q7tPAyA9XebN\nN+1Mn+6gYkUJvV6mS5f8B5GCbGHfPpHHHsvv4Uyc6KJFC/WXT1SqFF6NSJ8PPvrI+Jc+oMCrryay\nbl1oYj+1a8u8/badzz6zsny5jVativ6+80bPnn46iYMHS+fiqGldiAsnDaB5c4kPP7SRmhpY3Js0\n8VG7tnba1NBQK34//PCDga+/NjJ1qotly6yMHOmJutFK4aJ2bZlPPrGRkRHsdHz8cQKXLkXoolRI\nrVoyU6e6+fXXbNavz6Z79+JFi51OAZ8vePj7Y485mTLFHRGZoj17xAJr4SJFVpZA794+xo4NpCbn\nzg1dzWi1ajI9e/ro1MlXrM7OvLXjVqvA8ePq+a5KS1w4aTn55W7dfPz4o5XFi6189JGVxYtt1Kql\nRcniCTXVGqgdlws++8zAvHkJrFuni8imn5amNDLs2aPjX/9KoG5dOaQF0LFgD82aSXz2mZ1HH3VS\nvbqEwSAzfLg75qds+HywZo2OL780sH9/8TbjmjVl6tWTCpwiU5AtNGrk56OPrNx/v5PXX7fz00/Z\nTJniKlKANBxYrXDHHWYGDbKwY0fkt267HZ56KpFHH03C4RDo1ElJH+/YoSM7OzLOkdkc/LuUtna1\npOvCvn0i8+YlcN99SSxYYGT37tD9PnFTk5ZD/fqSVqtRBG43HDwocuCAiN0uIEmQkABpaRIZGZIm\nyBknyDK8+aaJTZuUZaJHDy+zZzto0qT87p9atSQGD/by5ZcGZs92UK+edu8WRHq6xLRpLm691Y3L\nJVCtmoQhxjOee/eKDBuWjNer1JwuXWqlRYvQ2ofFAn37+ujbN/J1mm63ov14/LjIqFEWliyx0ahR\n5O6H/ftFPvtMGTK/bJmBJ5908ttvBkymyNWMVq4cvDedPRt+Z/HkSYExY8zs3ZvjTiVQsaLEZ5/Z\naNu27CnxyLvj5YCa8stq5/RpgZkzE+nSJYWxY5O5+24L99xjYfx4C4MHp9C7dwpr10ZvrkmzheKT\nmAiTJgVUylevNjBgQDL/9386ymvkb1ISPPWUkxUrbAwaFPpRSrFmD9WqydStK8WF6OeFCwJer7IJ\nnzkjMmZMyaU18qJ2W6hUSaZ9e8VZPHpUxzPPmCIqnKtIYijftywLOJ3K49OmOSNWx12jhhRU0lTa\nsoiS2MK5c0IeB03hwgWR55834Q9B2WJcOGkaxefYMZG33kpAkgpe7E6eFHniiUSys8v5wjQiQteu\nPnr0CDhHFy6IDB2azM8/l18Qvl49iU6dfJgvb7CLcXw+ZeyOywVebdRnPipXloO0tI4c0fN//xe7\nySFRhH79AoawfHkCmzdH7sCc4yDnULWqzHffXWLo0Mh1VNauLTNjhjP3v8sj8l61qkzTpvkjrVlZ\nAq4QTOKKCyctFupOyouWLf18+qmNzEwveUUgQdGsuv56D/PnO0hJicz1lRXNFkpG5coyL71k55pr\nApuD2y0wdqw66mLKitrsYd8+kRUrDDz/vImRI80MGJDMwIHJDB6czK23mpk+3cQHHxhZs0bHoUNi\nyHSpopHataUgpwXgo48SSr0xqs0WCqJdO1+QeOzs2YkRaxC5fCqAySRz9dVSxPeGvn29DB7spl07\nL02bli6UVZQtuN2wdauOEycEqlaVeecdOx06BGzRbJZ55hlnSA6WsXvs0CgVRiP06uWjfXsbx46J\n2GwCfr+iu1OxokydOgUX3WrELvXry/zrXw6eecbEZ58pP77DIfDyyyZefdURdxGucHHwoMCQIcmc\nOlU859dslpk82cWYMe5yHT6tFsxmmDbNxerVhlwdzIMHlTpakyk2v4+GDSWmTHHx3HNK98y6dQZ2\n7tTRsWP5y4FUqhT8HV+u2RcpataUefVVB253aOaIFsTy5QbuvtvMHXe4efppJ02bSvz3vzYOHdLh\ndivRtYyM0JygBLm8iksiwKpVq+R27dpF+jI0NGKCc+fgu+8MPPlkEufOiQiCzMaN2Voxf4iQZfjz\nTx1LlhhYsiShWM5ahw5eXn3VQePG8fsbrF2rY+xYC5cuifz97y6eecYZ000T+/aJXHddMtnZin08\n+6yDCRPcRTyrcCRJmXN68qRAQoLSYHd5Ef7lnD8PN9yQzLZtehITZX7+OTuic37Li927Ra67LgW7\nXcBolFm3LrvME4k2bdpE7969C6wx0iJpcYbLBTt36ti/X8TtFujQwRcXN5ZG2alcGUaP9tKlSza7\ndyvNAxUrarYTKgQBWrf207q1n4kT3Zw6JXD+vIjDoeh1+f2KI6fXK1GMtDSJ2rUlKlaM9JVHls6d\n/fzwg5WTJwXq1w9NV+uOHSJvv51Az54+unTxUqlS2V8zVDRsKPHaaw7GjTMDAt9/r+fOO92lHqDu\n88HnnxuYPNmcqzPWvLmPBQsKHxZfqRK8/rqdf/wjifvvd4UscqR2Nm/W546o8ngELlyAunXD935x\n4aStWbNG9Z075cGxYwLvvJPA3LkmcrpyXn7ZTsOG0T86o7hotlB20tNl0tMjL0kQCtRqD9WqyX+l\nauJj4yspR48KbNigp107P/XqKdJAGRlle828trB6tYH33zfx/vswcqSbp56KXMdiQfTurcjhPPpo\nEhcving8lNpJ27VL5N57zUGivTt26Jk+PYn337cVKtrburXE0qW2qNfks1rhwAERl0sgLU3m2LFf\n6NYt/7ogSUo2IS9GY3ivLS6cNA3Yv19g4kQz69cHG1ioxusUxo4dSp1Imzb+sBu0hoZG7GOzCdx5\np4X0dD///a8t5PpoeWvaPv44gcxMH+PHq2fSRVISjB3roVkzCVGUy+Qk+XwCvgLOXDnZlsvHKRZ0\nLdHMuXMwZ04i//53AiCQmChz99162rUjn4N66ZJSkpBDUpJMcnJ4nffob88qBmo8KZcnNhu8/HJi\nPgetQwcvmZnhLzj9/nsD/fols3p15M8E8W4LkebSJfj5Zz2ff27g2LHIj2zR7CE6SUuTqVfPz5Ej\nOm68MZmtW8u+leW1hcsFz2fMSGLPHnVtl2azMkWnS5eyreENG/qZODG4JVYUZZ57zlFkXVossGuX\njn//O5BdcjoF5s7tz6ZN+T1yl0sIEsjt1MkbtuaEHNRldRphYe9eHR99FBzC6tzZy/z59nIZb+Lx\nCMiywN//bmHXLs3k4pXDh0UmT07ixhuTGT/eEnQi1dAoCVWqyEydqjgWZ8+KjBlj4eDB0Dn9rVr5\nadkyEF5yuwVWr47NbgSLBR56yMWKFdm8+qqdN9+08cMPVnr3jo2ShqK4Upp448b8/yMlRSY9PeDA\njxvnCXt2KC52zFDp32zfruOFF0w895yJlSv1nDwZ+UhAcZBlpSgZlPDss886WLDAToMG5XNKql9f\nOelZrQLPPx+64bulIRq0kGKRM2cEpk83sXy5uvRbNHuIXjp08JGUpKxhx4/rmDMnkQsXSv96eW2h\nShWZF190BInlrlqlLzAtGAukpkKnTn5uucXDzTd7advWH9Mdsnlp3NjP6NGXd8f+ROvW+SOUZjOM\nHKnUcHfp4uWaa8JvEJHPP0UJ588LjBtn5sCBwOm/YUMf77xjp2VLdRf3tmjh56efsrHbBWrWlKld\nWyrX2oq8Bbeff25k8mR3SGaaaRSNLOdoRyn1h5HqUvv+ewMrVgQcNEEIPpFqaJSURo0kZs92MGWK\nItS3eHEC/ft7uf760IxnyMz088YbdiZONOP3C4gi5TYOTaP8qFgR/vlPB3/7m5dly4xIErRt6+Ta\nawt2wG64wUP9+hItW/pISwu/QWg6acUkOxuGDLGwdWvw8aJyZYkVK6zlOnQ62jh2TKB79xQuXFAC\nt1OnOpk+PQTzMjSK5P/+T8ewYcm4XAIdOnh5+WUHzZqVr60ePizSrVsKVmsg8vzgg04eesilCSNr\nlInTp5Xh1hs3KutyaqrEypXWkA0e9/lgyxYda9fq6dbNpx0uNcJCYTppcZHuDAUpKTBrlhO9Ptip\nPXdOjOj8tGigdm2ZO+4IhJPfeSeBI0eiI1UczXg88OKLplzto3XrDIwaZQ767nftElm3ThfW1P2x\nY0KQg9aihY9bbnFrDppGmalaVeallxy5o5IuXRJZtMgYsnFZej20b+/Xov8aESMunLRQ1Z107Ohn\n6VIbNWoErwCarETR9O8fmAV66ZLI/v2RcWzjrQbp8kD5kSN6duxQvvtt2xTl7P79Uxg82MK2bYHl\nYPt2kcWLDfzwgz6om6k05N0w27Tx8e9/20lPV0cEP97sIRZp1Upi/nx77n8vWGDiwIGSb22aLWjk\noCZb0GrSSoBOB126+Pjuu2z27dNx+rQyXLV16xitJg0hjRv76d/fyzffKB7t/v0iPXtG+KJiHKNR\n6T5avTr4FJEzbmjnTl3uzMMDB/QMH57M119nY7WKDBqUnKuqfffdLp54ovTDghs1knj7bRtJSTKZ\nmX6qV1eHg6YRGwiCIu46c6aDGTOScDoFtm7VaZNUNGKCmI+k7d8vkJ3dg6+/1odM/qF2bZkePXyM\nGOGlRw+fqkaGqBVlGLITo1HZoDdvjsz5IN50sTp18jF2bN7OJZlmzZS0TU5nXA6nT4vs2KHnk0+M\nuQ4awIIFCRw8WPp7p3p1mWHDvPTv71OdgxZv9hCrJCfDbbe5efllO4Igs3ZtydcXzRY0clCTLcR8\nJO2661K4dEnZYMxmmWXLrFx1lVZb4PfDnj0iBw6IOBwCVarItG3rC+scwNatJV580cHkyWbOnNFq\n0sqDtDSZmTMd3Hijh8OHRRo18tOmjWL/DRtKJCbKOJ2B32LzZh2bN+vp2tVLnz5esrJE5s9P4MIF\n7ffSUDcWC4we7aFlSz/e0DR4amhEnJiPpCkO2moA7HaBOXNMMat1U1wuXYKFC4306JHCLbckc/fd\nFoYNS+bttxPwh9F/FUUYPNjDvHl2xoyJzLxQNdUalBcVKkDPnj5uu81D585+TCbl8caNlVoeQQhE\nt0QR+vd307evlxkzkti5U8eQIR7VRcBCRTzaQyxjNMJVV/m59tqSL2SaLWjkoCZbiHkn7XJyNqh4\n5tdfDTzwgBmvNzg6snKlAfflmn4hJjVVmTk3aFDJj7oOB8frqPMAACAASURBVGF1IuMNQYABA7x8\n/rmNHj089OnjYdgwDzfc4GX9eqW54McfDdx0kyffmBwNDQ0NjfAT8+lOhR4AGAwyEye6rjgGIl74\n+uuCpaQnTXKX27DckojpnjsHX31l5N13E6hdW+K229x07OgrVSG7mmoN1IDRCF27+ujQwYcoKpID\nZ88KQTWDe/fqGDgwNsPPmj1o5KDZgoLXCwcOiGRliVitymN16khkZEilbh6KNtRkCzHvrixebOX3\n3/UkJ8v06uWjeXMtFDNmjIcvvjDm1iJVrSrx0ksOundXZyHHb78ZuP9+ZXXYskVx2N5808aIEd7c\ncVeXY7fD+vV6vF5o3VrrKCyKvDIysgx+f+CLXbdOjyS5EeMu7l7+eDxw4YKAzaaUajgcSgq6cmVZ\nE8zWCDuHD4u8956R114zIUl5F1eZhx5ycd99LpKTI3Z5cUnMO2nXXefDZFodcc/4/Hk4fFiXqzlV\nrZpEerpEhQqhfR+PR4lSFRap6tTJx+rV2Zw+LWA0KuOCatZUrxOzd2/+DzNtmpmOHbOpW7fgjWvd\nOj3Dh1sAgb/9zcO8eQ6qVpVZs2ZNxG1B7RiNMhZLwB4OH9ZhsymCzrFGpO3h7FmBrCyBY8dEtm7V\ns2qVnoMHdX811ihrRc2aft5+2174C2mUmUjbQqRxOuGFF0wsWlSQyrTA228nMG6cm+Tksu8Vp04J\nbNmiQ5KgWTOJevXUdQBRky3EvJOmBvbuFZk0KYkNG4LTjF26eHnhBUdITsg5kaP58xMwGGDGDOcV\nx/8IgqJd1ahRmd+2XGjXzocihBs42dls4PNdebH47jtD7t+vXGnkl188DB+uzkih2khJUXTt9uxR\nnGOnk7hvtgkVdjscOyZy6JDIr78a+PJLA8eOieS17Rzq1vUzbZqLTp18qtvENGIPWVYO+QWRmirx\n7rt2atUKjYM2YYKZX35R9sNatfwsW2bTdO2uQFw4aZH2iBcuTMjnoAGsWWNg9uxE/v1ve5nq5Ox2\nePvtBGbOTCRnsW/b1k+zZrExH/Pqq308/bSTGTMSkWXl891zj7vQFObladC5c0306eONuC1EA4IA\n3bt7WbFCyYFWqiTFbMNNediD06nU+GzcqOeDD4xs3qzPtePLSUyUGTPGzfXXe2jcWCqXAc4aCvG+\nNiQlwZNPOhk0yMtXXxlwOATq1/eTmemndWsfGRmhscUdO3S5DhrA8eM6li0zMm2aevYrNdlCXDhp\nkaZnTy9vvJFwWY5f4eqrfWVuZNi8WRfkoEFsRT7MZrjzTjddu3o5cUIkOVmmZUt/oUWs7dsHfwEH\nDuiwWgVSU7VNrzh07OhDp5Px+wUGDfKWW0NJLHHqlMC2bTrefTeB774zFHj/g0zTphIjR7pp08ZP\n3boSdepIJWqs0dAIFbVqydSq5WXIkPBlHfLO8c1h/Xodspz/cK0RJ05apPPLyigpKz/+aOCbbwy4\n3QLt23sZPNibz5koKV4v/OtfJi5Pl/TqFVupvYQERQy3devihcQzM/1UrChx4YJS7W4yyeh0kbeF\naKFxY4nnnnMwc2YSffrEli3lJRz24HTChg167rsviaNHg70tUZRp2dLH4ME+WrXyUauWRK1aoa9N\n1Sg5xbWF48cF9u3TUb++XzUzaIvLhQtw/rxIxYpSxCbl1K0r5R4Ac+jSxacqB01N+0RcOGmRxmCA\n9u39tG/vZ+JEF34/IeuQsdlg167gjWD8eBctWsR3F2vDhkoNxejRFhwOgQcfdFG9usz+/ZG+sujA\nYFDU23v39lKvXnRtRJHm5EmRnTt1DB7sIS1NpmZNiYoVZVJTZSpVkqhWTcZiifRVapSWDRv0jB9v\noX59HwsX2mneXP21VLIM//ufjqlTk9i6Vc9113l46y17RBy1Fi38zJtnZ8oUMz6fQKdOSsBCo2AE\nWY7dBXjVqlVyu3btIn0ZYef11xOYMSMJvV7m0UddjBpVeL1WPLF3r8j58wKNGvm1GasaGhpl5t13\njTz4oFJrUb26xFdfZVO/vrrX240bdQwenIzLFQhXrV59qdiZiVDj88GhQyJWq0CdOhJVqqj7+ws3\nmzZtonfv3gXGErVIWgxwyy1uunXzkpgI9epJGArWqo1LGjVS/ylXQ0MjekhLC6wpp06JfPJJAg89\npF6R9HPnBCZPTgpy0AwGOaJ1pno9WjdnMYkLeUo1zeEKB6mpSr1Wo0aag1YUsW4LGiVDsweNHIpr\nCw0bShgMgcjP3Lkm9u0reit1OpWU49q1Oo4eLX4BVna20oRS2pF4+/aJ7NwZ7EHecov7ihqTGupa\nF+LCSdPQ0IhPbDY4fVpFFclRhtcLZ84ISNp+nktGhsTf/x6Qi/B4gseoXYmNG3X06pXM4MEp9OmT\nwooVBuxFaBSfOiVw000WunVL4f77k/j1V0VYuiQ4HMH2X6uWnwkT3FF7oN+zR+TRRxP58EMjp07F\n/r0dF06aWro0NCKPZgvxgSzDli0io0db6N075YqRDs0eCuf333X06pXCK6+YOHEitjfE4tqCwQC3\n3OIJUt7/44+iNVNOnQqIFp8+LXLrrWY+/9xQaIRMEODIER1nz4r8978JXH99Co8+msTBg8X/LTIy\n/LRqpUjqDB/ujmrh2HPnBO6808y//mVi8mQzb7yRcEUB3rKgpnUhLpw0DQ2N+OL333X075/CmjUG\njh8XOX5cW+pKw7Fjync3a1Yit99u5vBh7XsEaNJE4r33bCQkKI7axYtFfy8NGkgIQt4CeYEHHjCz\nffuVHbxq1WTmzHEEPfbf/yYwfLiF7duL91ukp8ssXWpj48ZsXn3VEbUOGsCJEwLbtgWilm+8YWL3\n7ti2ydj+dH+hpvyyRmTRbCH22b9fYPx4S1ChdMWKBW9MsWYPJ04I7N0rkpUVmqhXjRoBp2LDBgNz\n5pi4cCEkL606SmoLPXr4WLHCytixLu66q2i1/JYt/bzzjo3HH3dy221uALxegR07Ct+Ge/Tw8sAD\nzqDHDh7UM368mSNHivc7V64sk54ukZhYrD9XLW538OeVJOGvsWqhRU3rQlw4aRoaGqHH4VDSimrC\n54MlSxLIygosbc2a+UIyczAa+OQTIx06pNKrVwrTpyeyapW+TGnKBg38VK4ccHA//jiB33+P0mKm\nECMIiv7lvHlOOnQouqr/0CGROXMSmTUrkexsZdoMKI1fhZGSAlOmuHjrLRsmU8CO9+7Vs3JlfP0W\nlSvLQd8BgBjjXkyMfzwFNeWX83L4sBjzdR5qQ622EE1YrbB8uYHrr7ewaZO65hcdOSLy8svBg0Zn\nzXJSuXLBTlqs2cONN3pp29bHyZMi8+ebuOmmZPr0SeGjj4wcOlTy5T49XebFF4PTbQ88kMTx47G3\nboXTFs6cUWqpdu1SUnXff29k+nQHn31mpUOHooVck5Phppu8fP99NmPGuElMVOx550513X/hpm5d\niQcfDEQtRVGmRo3Qp2/VtC7EhZOmRrZuFenXL5lPPjFG+lI0NIrN6dMCr7xiYtw4Cxs3Grh4UV2b\ndVaWgNcbuKa773Zy1VUxNMi2COrVU2qlxo515z528qTIxIlm+vRJZvFiQ4k74jp29DJkSOD1srLE\nUjl88cyff+qCaqkkSfmtevb0FVtkWxCgRQuJV15xsHZtNqtWXQpyWOIBUYRRo9xMnuykVi2JN96w\n06RJ9NbYFYe4uNPUlF8Gpa164kQzWVki335rDEt3ikbBqM0WogmXCxYuTGDuXKWwRa+XqV1bXQtk\n3tTHuHFuJk50FzqCKRbtIT1dZuZMBwsW2KhQIfD7nDsnMmGChSFDLKxfryu27pbDIdCihZ+WLQPO\n7smTsbd1hMsW/H749NPgw/h113mpVq10KXi9XnHwMjMlataMjzR+XmrWlJk+3cWPP2YzfLiXhITQ\nvv7JkwKvvfZ/TJ9u4o47zLz0kokDByJn7yrVSI5tfv5Zz/btylcvCKhqsKxacbuVmg6PB9LTpSLr\nOKKF06cFTp0SycjwYzZH+moK5uJFpSD9xAkds2YFUokDB3qpV09dTlrDhn4+/NCGxSLTpo0vZuyk\npFSoAMOHe8nMzObLL408/3xibtH1vn16Bg1KZu5cB4MGeUhJKfy1TCZ4550Ehg/3cu21Pr77zkBy\nsowkxX49UChwu2HHjuC05O23R69OmRrQ6SAtLbQOqsMBa9bomTYtiaNHkwDlMLpsmbKuNGgQurUu\nK0sgK0ugQgWZ9PTCP0dc3GJqyi9fuACvvhrY6GrU0KYEFMXhwyKPPZZIly4pdO+eyqRJ5lJ3r6nF\nFrxeRSZi0CALN9xgITtbnZ76wYPKSJnPP09g8mQzOTpPer3MlCmukJ9iy0rlyjBggJdu3YrnoKnF\nHsJFRobMlClufvopm6efduRqe/l8ApMmmfnvf414iyiJqlFD5oEHXMyfb+LHHw107+5j+vRENmyI\nrXqocNlCQgLUrBnY4IcPd9OqVfyk4KMBjweWLDEycqSFo0d1QI/c/5eaKtG4cSnHPVyGywUrV+rp\n0yeZHj1S6dEjhd9/L/w+igsnTU0cPKjLLR4F6Nev6KLReObiRXjssUTefdeE3684CF99ZeTgweg1\n3QsX4N13Exg0KJl9+/QMHuy9YmF7JNm/X+Tmmy1s2mTA4RD+EuNUePxxJy1ahGbhKisej/q6TNWE\nKELTphITJ7pZvTqbJUusTJ3qpEkTP++8YypWfVnfvl5at/axf7+OhQsT2LdPz/jxlphsIAg1Oh1M\nm+YiM9PH9OkOZs50UrFipK9KIy979ohMnZpEziE0h7Q0ic8+s9GsWWiiaOvW6Rk50sKxY4pjdvGi\nyLvvFn7Sjd6drgSoqe7k8tx2w4bq2OjUyo4dOr75Jn9zRWmHGUfaFi5dgjffNPHII0lIkoBeL3PH\nHW6MKusfOXcO/vlPE/v26bn+eg9LlgQusEsXLzff7FFFBHjbNpFJk5JKHdWJtD2UN/XrS/Tq5WP6\ndBfffpvNd99lk5FR9AaUni6zYIGd9PTAenXypFioEGu0EU5baNfOz/LlVqZOdVO9unaiUCOVKgV+\nl+rVVzFvnp2VK620axeaPfrSJXjiiUQudwQrVCjcHrSatHLml18CX3mLFj4yMjQnrTDyCpLmcP31\n7pCFn8sTu12p7XnxxYCi5LRpLpo3V99n+fVXAytWKCe8ihVlTp9WDhfNm/t46SWHKjaazZt13Hij\nhexskWHDtO6bklLSer3GjSUWL7Zx331JbNigeOhal2fxSUqK9BVoXImWLSVWrcrm7FkRg0HmyBEn\nAweGdk1xuYTcdTQHg0Fm9Gh3oU08cXGHqanu5OzZwFf+4IMuKlSI4MVEAQ0aSDRqlFO/ITN0qJsn\nn3QVWex8JSJlC34/fPONgaefDqzUnTt7GTPGXeqoYFF4vRRZb1QQhw6J/OMfeXcUGUGQGTXKzaJF\nNho1inyzwM6dIsOGKQ4alF4rqTB72LtX5NgxLZ2Xl8aNJT76yMbSpVZmz3bQuXPs1FapaZ/QKH/S\n02XatfPTqpXEwIGdQ/76VarITJniBJQDbs2aEp9+aqNly8LXLi2SVs7kpIg6d/bSpUvsLHDhol49\niWXLbBw6JGKxyGRkSKrtgiyMDRt03Htv4MJr1fLzyiuOsLTQO53w++965s41MWSIhzvuKNmJcPdu\nMegwUbWqxNq12dSpo47v/tw5mDEjKXdeYvPmfurWDa3juGuXyJAhyXTr5uWVVxwkJ4f05aOaSpWU\nkUg9emjrl4ZGcdHpYNw4D507+3A6BerVk4qVkYiLSJqa6k5GjPBw7bVeXnrJQZUqkU8ZRQM1a8p0\n6uSndeuyOwmRsIXjxwUmTUrC51OiMlWqKNGIcAw6djrhvfeMDBtm4ddfDbz5poljx0r2Gr/+Gji7\ndenipU8fH02bqsNBA1i71sCqVYGCuKlTXaWW2riSPaxcaeDsWZGlS43aUPE4QU37hEZkCZctmM3Q\npo1Ex47+YpeMaJG0cqZnTy+dOnm17p4SYLXC5s16EhLkYs3IUxs//mjgwAHlVqtYUeLTT61FhrgL\nw+uFY8eUyOLlWkG//67n8ccDXUo1a0qcOSOWSHTW5RKoVUviH/9w0qCBny1bdPzxh6Lp07y5j8qV\nS33pZebIkeBUbMOGvpCn3LKyBN56K0cmR+D4cbFMv5dG6Dh5UmDLFh01asg0b+5XRfOKhkY4iQsn\nTU21BklJWgFpSfB6YfFiI9OmmTGbZX76KbtMEajytoWTJwWeeUZpFOje3ctzzznKNMYkOxs++CCB\nZ55JpFMnH2+8Yc89kR07JgRpmQFce62PpUuNZGYWb3yMwwFDh3pIS5OZPTsxSHYDYNkyK927Ry7N\n9fPP+jzFtzIvvOAsUxNDQfZw6VKw3IjdrtWlqYW9e0VGj05Gp5OZOdPJ8OGekImaqmmf0IgsarIF\nLY6voWq2bNHx8MOKV2u3C5w5E10bpsMhUL++n7fesvGvf5V9ztzvv+uZMSMJj0dg9WoDu3YFJBA2\nb9Zz/HhwLZnfDz/8YOTSpaJf+8gRgeeeMzFoUDJz5uR30Pr399C0aeQimRcvwptvBjSFxo93h2Uu\np9UabGPaRBD1kPhXY7TfL/D440m89VYCNltkr0lDI5zEhZOm1RpEJ5IES5cakSQh6LGyUN62kJEh\nsXSpjREjvFStWrYT//nzMH16YtBjdnvg39esyRsYl5k61cXbb5s4elTM53hczpEjArfeauH11/Pr\n+BiNMs89Z2fuXEep5w2GgqNHxVyntHVrH5MmucNSo3h5O3xiolY7qhbq1pWoXTvwA73ySiI//BCa\nnKe2T2jkoCZbiAsnTSM6OXFC4KOPAiKqoiiX2dGJBKFKb588KbJ3b3CFQl4nJacjU6eTmT3bwaef\nGrFaBRwOochh2nv26Ni6NfDagiCTmell/nw7P/+czfjxoUsrlZaLFwVAoHVrH++8Yw/b3NDL51Gm\npESfzcUqVavKzJrlDHps8mQzO3dqW5lGbKLVpGmolqwskUuXAotv586+oBl4pSGabeFyYd/kZDnI\nUZk0yUWLFn66dfNy/rzApk2B27uoCORVV/n47rtssrMFjEaZypVl6tSRVCU9UauWzHvv2cjM9FGn\nTvjqkNLSZEwmGZdLoEIFiTp1tKYBNdG1q5ehQ90sXaqkvm02gR9/NNCsmbtMrxvNa4NGaFGTLcSF\nk6YRnVwe/bnrrrKnt6KZ1FQZg0HG61WcteeecwQ5aZmZfjIzlS9t48ZArVrNmkXLZ1SoAFdfXXS9\n2e7dImvW6NHpoFYtidq1JRo0kMpl0HqDBsp7hZvq1SX69vXyxRdGJk1yh8wh1AgNFSrAjBkudu/W\nsX27soW9914Co0e7ta55jZgjLmLEasovaxSflBQZUVQ2yMGD3XTsWPYi8Wi2hbp1JebNs1O/vp85\nc+z07XtlkdqGDf20bauMG+jdO3SpyrNnRaZNM/PAA2ZuvjmZbt1SuO++JH77TU92dkjeolwpyB4S\nEuCRR5w8/riDESPKFp3RCA/p6RLvv29j5Ejl93E4hFwdwtISzWuDRmhRky1okTQN1ZKRIfHaaw6O\nHRO5+WY3lSuXzNHwehVdLVmG2rUlTKain6NmDAa46SYvffp4qVSp8L9NTYXnn3cyZoyO227zhKxD\nsXVrH7NmOXj8caXBwO8XWLIkgSVLErjuOg8PP+yibVs/uiifu92kiUSTJpqDVlp8Pti/X8TpVMbh\n1Kolh7xLtkEDmTlzHNx+uxudDk0cXCMmEWQ5dg171apVcrt27SJ9GRoR4OhRgQULTCxYkIAkwcSJ\nLu6/P/5mpZ44IVCjRmg3SKcTfvrJwD33mPN1jer1Mq+/bmfAAC8WS+jeUyO6WLbMwIQJZrxegdRU\nialTXQwd6qF27djdbzQ0SsumTZvo3bt3gat0XKQ7NeILux2efz6R+fNNeL1KtGfevEQOHIjy8E4p\nqFkz9BGMxEQYMMDLqlXZPPmkg6SkwMbr8wlMmGBhxQpNCj6e+eQTY27t5KVLIk89lcSUKWZtYL2G\nRgmJCydNTflljfCzb5/If/9rzPe4x6PZQihp2FBi8mQ3P/98iQULbHTq5MViURy2uXMTOXtW/Ruy\nZg/hYejQ/PWSP/1kCJmmWTjQbEEjBzXZglaTphFzuN2KnlZeWrb0kZEhsXt3ZK4pVhEEyMiQycjw\nMniwl9OnBaxWgdRUWasRimN69/YyaZLzL3HkAFu3xl80W0OjLGg1aRoxR1aWwK23mtmwQTm1N2zo\n47337DRvruldaWiUF5cuwcaNet59N4ENG/TUq+fn+ecdtG6t3Ydq48ABkZ07RdLSZK66yp9P0Fnj\nykiSMu1lzx6R1q39NG/uL3E9bmE1aVokLc45dUrg55/1LF9upHNnL+3b+6hShXLRowoX1arJvPee\nnT17dIgiNG7sj+g4Iw2NeCQ1FXr18tGtm49z5wSSkmRViSNrKOzdKzJ0qIXjx3UYDDJff22lffvI\nzeiNNi5ehKlTkzh4UAfIjBzp4bHHnCFrkokLf1lN+WU1ceyYwF13mbnnHgtff23k8cfNrF1rZOhQ\nCwcORLdp1Kgh0727j65dfUEOmmYLGnnR7CH86PXKwUntDlo82oLbDa+/nsDx40oa2usV2LxZS0mX\nxBYsFmjdOsepFfj44wSmTDFz/HhoanKjeyfWKBOff25kzZrgQl5FW0zHtm3ajaqhoaFRFLKs/BON\nHDsm8NFHweNCihohpxGM0Qh33OECAkbw008GXn7ZhNVa9tePCydNTXO41MKpUwJz5waru4qiMrMQ\n4Nw59XfmlQbNFjTyotmDRg6lsYVz5+DNNxN4/fUEbLYwXFSYsdvzT2rIO2ruSrhccP58bO4RUHJb\nyMz089hjrqDH3n03gd27yx7siAsnTSM/Xq8ySiUvt9/uZtkyRboiNTVKj4YaGhoa5cTq1QaeeCKJ\nJ59MDMmGXN6Yzco84ByaNvXRsmXh9WjHjgnMmJFInz7JfPONHq833FepfsxmuO02N5MnO/M8KrBh\nQ9nL/uPCSYvHWoOiqFFD5uGHnYCM2SzzwANOzpwR2bJFj14v07hxbBaOaragkRfNHjRyKKktHD0q\n8MgjSX/9l0BWVvRFltLTZZ591oEgyDRv7uPtt+3UrFn4Af2rr4z8+98mDh7UccstlpgsjSnNulCl\niszUqS7ee89GvXq+vx4re+5Y6+6MU/R6uPNONwMHejEYZL7/3sDLLyuaRk8+6aRJE60woTC2btWx\nbp2OXr0U/TUNDY344uhRkXPnAnEOlyv6nDSDAUaP9tCzp5fUVIqcj2y1wsKFAaFwSVKiRZmZsXmo\nLympqTBkiJeOHX1cvCiQlqY5acVCqzspGLNZUY0HuOEGLzVrWklOhjZtfBjUKwxeJkJhCzt3igwe\nnIzVKjBkiIe33rJH/fD2eEVbGzRyKKktnDwZnIhKTo7OEpHERGVYfXFwuQQuXgz+3Hv2RF9CTpJg\n7Vo9gqDsd5d3Hpd1XahaVaZqVU2CQyOEVKkiM2CAIlmRkhLpq1Evfr9SKJwzWHzlSgNZWdptpKER\nbxw5EpzmS0uLTietJKSmyrRr5wt6rFmz6IuiHT0qMmqUhSFDknnjDRMXL0b6iq5MXOwuWt2JRg5l\ntYWTJwW+/DIQ7ne5BFyuQp6goWq0tUEjh5LaQt77vkoVierVY7/swWiEv/89IDeh18tRKXzr88k4\nHMq/z5mTyIoVgTXd4YAfflDPuhAX6U4NjVBx/rxAdnbgbGM2y7lDxTU0NOKHpk0Dzsn06U6qV4+O\ndeDIEYGtW5WuzKZN/TRrVjLn8uqr/SxZYuOrrwwMH+6hVavoc9LMZiXyeeaMkhF57LEkOnb0cvGi\nyDPPJHL+fCKJiTpMJpmGDSVSUyN3rXHhpGl1Jxo5lNUWlOHtAbp184as9kCj/NHWBo0cSmoLzZr5\nSUmRyMz0c9110aFDceCAwJgxFnbvVrb+5GSZr7/OpkWL4jtqJpMy7qtXL1/Rf6xSqlWTuf12N88/\nrzTL2WwC+/fruOsuy1+lLNcxYYLE4MEeGjTwc+ednohda1ykOzU0QkWVKsG6QuPHuwtssjh5UuDb\nb/Xs3KndYhoasUjTphIrV1p5+207NWpEx0Htl18MuQ4agNUq8PXXxkKeEZsIAgwY4EWny/ndZHbt\n0uXWGgMcPy5SqZLM++8nhGRyQGmJix1EqzvRyKGstlC7tsRDDyk1Gfff7+Saa/KfJg8dErj7bjOj\nRyezZUvsaQiVhLNnBZYsMbBqlR67PdJXkx9tbdDIoTS20LixRJUq0eGgAfz5Z/71qLxrai9cgN27\nRbZvFyPq/DRr5ueBB5QPbzCAx5M3S7IaULpAW7b0k5SU//nlRVw4aRoaocJggDvvdLF2bTYPPeTK\n17p97JjAHXdYcmeipqREzwIeDr7/3sBdd1m46SYL69fHRXWFhoZq6dHj8kOlTI8e5ZOqdThg1So9\nQ4Ykc+21KXTtmsqDDyZx/ny5vH0+DAYYM8ZNz55evF6BChWCU74VKkh4PHD33W50ETxrC3K0ToYt\nBqtWrZLbtWsX6cvQiBNcLnjlFRMvvJD41yMya9Zk07x57Hd9FcTFizBw4P+zd97hUVRtH75ntiSb\n3U0oCSWB0BI60kRQQASkyWulCRaw8orYC+qnWLBXsDfE8qKCCmKnIwRBkaL0QIAAgdBCymb7znx/\nDGETkpCQZLOb7Lmviwt22DI7+8w5v/Ocp1jZvl0TZx06eFmwII969QL3mfn5sHevTMeO4XnNBYKz\nceIEzJoVyfvvRxAZCc8+a2fQIA9mc2A/1+nUiuBOmRIFFI3rXbs2h9atg3e/Hjwo8f33Rho2VJg9\nO4KVKw3Issq0aQ66d/dw/vkKciF31r59MvPnG1izRk+7dj4uucRLp06+SnlUN2zYwMCBA0ushiyW\ntgJBFbF5s45XX/VXtR0+3E2zZuErFvLzJdLT/UvQTKm1bwAAIABJREFUrVt1ZGXJ1KsXuGuyfr2e\n666zsHhxLm3bhu+1FwhKon59uPdeJ9df70KWqbakp61bdSUKtN69PVVSlb8yNGmiMnmyC0WB3r29\n/POPDotFpVUrH/HxxZ8/a5aRt97SFuJLlsBbb8HQoW6ee85BixZV/13CYrvzXGMNjhyRyMyseS0+\nBGUTqBikkyfh2WdNqKpmN5Kkcv/9roCvUEMZWQajsfAkIGGzBe7zvF749NMI8vMltm0r3/6EiEkT\nFHA2W1AUyMiQyMmpxhMKEHo9NGpUdRXxy4NW6qLonNqmjZfXX7dTt261ncZZkWWIj1cZNsyLJP1e\nokADSkwS+e03I889FxmQuNuwEGnlxemEefMM9O8fTd++0SxcqEcRi/GQwOOB1at1zJtnYP16XcgN\nltu26Vi1yp/mee+9zhpZibsqqVtXJSmp6DUIZGzH0aMSy5drmwOrV4tNAkHVcOyYxOuvR3DRRTHc\neKNFZGxXgHbtfIwf76RBA4Xu3T288UY+c+bYSE6ueRPs0KEeOncunjD2889GsrKq3rkjYtIKsWqV\nniuvtFCg+CMiVFauzK2RhlTb2L1bplevaBRF+21GjnTx2GMOmjcPDfudMSOCp5/WUoCaN/fy/fc2\nEhND49yCydy5Bv77XwsAzZr5WLw4L2DZcJs2yQwYoFWdbN3ax8KFuUEtQikojtcLhw5JyLK2zRQI\nsrMhPV0mNlYlIaHynzFvnoFbb7WcfnzhhR6+/tpWJGlo/Xod2dkS7dv7akw5jurG5YLsbAmrVQ1q\ntmRVcPCg1nnm7bcjycyUMBhg2jQ7N97orlAf57PFpIklwSl8PvjoowgKu2RdLikgyjgcyc3VCinu\n3y/hcJz76w0GitzY334bwfjxFvbuDf7v43LBL79oXrT4eB9ffJEvBNop+vb1MniwG51O5eWX7QEt\nV2C3+20hJ0cqVnhYEDx8Pti0ScfUqSZ69Yph1CgrJ08G5rPmzTPSv38MQ4ZE8/fflXPdut0wa1ZE\nkWNr1ug5dMg/dToc8PDDUYwaZWXsWAv//ium1ZKIiNCKyNZ0gQbaAmPSJBfLl+eydm0uf/6Zy003\nVUyglUVYWFN54k48HorceKDFFVmtYrKtDGlpEp98YmTYsGguuCCGnj1jmDTJzJ4952Z6iYkK991X\nVN1t3qxn2jTTOcUBBCIGyWCAFi0Uhgxx8913tnOq3l1TcbmgPE74xo1V3nknn5SUXPr3D2yF8sJ1\njlwuTRiUhYhJCzy5ufDNNwaGDLHy/vuROJ0SrVsHpvaUywVff62JqkOHZEaOtLB1a8XjE1WVYiEv\nkqT9KcBggIQE7Un//qvnqqusbNtWdVNraqrMG29EMHWqScRKVxPlHRcaNlRp3VqheXOlxKLmVUFY\niLTyEBkJw4YVbf1wxx3OgGRrhAtbt8pcdZWVBx80s327DkXRvBsLFhjLPXAWIEkwerSbwYOL/kbf\nf29k167gFoyVZXj2WQeffJJPmza1215OnID//c/IFVdYuf56M0uX6k83Ki6N+vWhTRsFfYDDxAqL\nMkUpn4gUBJYTJ2D69EgmTbLg8WgCQ69Xue8+BxERZby4AhgM2oKugNxcmRdeqHhAd0QEjBtXdMwZ\nOtRDkyb+z9DrtbGpgOxsmdtuM5ORUXlB9ddfOoYOtTJtWhRvvx3JgQNiyg43wuIXL29PtmuvdXPb\nbVrA9+OP25k0yYXJVPbrBMVxOODJJ01kZBQXUHXqKCQnn3tQfUKCymuv2bn99sIlsqVzqlodqF6N\nsbFqWNjKb78ZuftuM+vW6fn1VyOjRllYsMAQEoKocFKC2Uy5RKHo3Rk48vI0gTZ9euEbQ+XVV+0B\nq2Mny3DFFUVF1S+/GEhPL3uqK80WBgzwcOedDkwmlaFD3Tz1lKOYF7BrVy/JyX5P8fbteubOjcBT\njjqxx45J/PuvzPr1Ovbv9wu7HTtkxo61kJ1dcO4qFksI3GhhQCiNCyIFqhAJCSrPPefA4XAUqyQv\n0CpGGwyU261bt+6ZA4rKBRd4ee01e4VrWCUkqDz2mIMRI9xs26YjOloV9bCqkT//PFN0S0yZYqZv\n35yABYKXF38fPrBY1DPKfwiqm7Vr9bzzTlGBNn26nREj3AH1qnbr5qVZMy/p6QUfInH4sFzhotKN\nG6s8/riTiRNd1KtXckxVQoLKW2/Z+c9/rHi9mtB6+eVIrrjCRatWpdvh1q0yt9xiJjVVO9e6dRWe\necbOgAEepk0zcfKkX1z26OE9va0qCB/CwpN2LnEnej1nFWhpaRLz5xt48EETkyZFsWyZvkKB8DWJ\njAyJF1+MZPhwK1ddZeGLL4zs3Cmf1XtiMmlbgHPm5PHWW/l8+qmNpUvzmDOn8jFb0dHQo4eP8ePd\nXH21h7i48k/GIgapclx8cfG4Mreb01m3waRwC6727X3lWmgJewgMR45IPPCAX81YrSrffGNj9Gh3\nwGsHNmmi8tln+URH+8eZqKiyx4iz2UJEhPa+Z4uj697dx3vv5QPaZ7lcEmlppYdiuN0wdarptEAD\nOHlS5q67LGzcqHmqC5AkrQJ+dHSZX0NQBYTSuFBtnjRJkmYC/wGOqKp63qljdYE5QDNgHzBaVdWc\nU//3KHAz4AXuUVV10anj3YBPgUjgF1VV762O8/d64Y8/9EyYYC7kfoY5c4ysXJlbq4PF9+6Vefll\n/4p4zRoDUVEqzz9v5+qr3aVOhg0bqgwaFNhgcUH1csklXu65x8GMGZFomdBa1mZ8fPDtPy5OJSZG\nISdHZtAgT1D77YU7eXma98psVrnzTidXXummXbvqs5HzzlP45Zc8Fi7Uxqq2bQNfs1Cn0+LVZs/O\n5447osjNlXE6S1+8yHLJhVGjolRSU4sa77RpDjp3Du+6i+FKtdVJkySpD2ADPi8k0l4CTqiq+rIk\nSVOAuqqqPiJJUntgNtADaAIsAZJVVVUlSfoTmKyq6jpJkn4BZqiqurCkz6zK3p1//61j2DArPl/R\nm85qVfn991yaNw/+JBUo9u+XuOIKC/v3F9f0M2bkM26cW0yIYYTdDrt2yZw4IVOvnjYBBiL1/Fzx\neuH22818/72RefPySmgmLaguvF6tVpnBAE2aFO19GA7s3i2Tni6TnOw7azme1FSZW281s2WLf2xt\n0sTHbbe5ePLJKGRZ5dFHnUyY4KR+/eo4c0EwCInenaqqpkiS1OyMw1cC/U79+zNgBfAIcAXwtaqq\nXmCfJEm7gAskSUoHrKqqrjv1ms+Bq4ASRVpVsny5oZhAMxpVZs60BV2gnTghsXGjjq5dvQG5kRMT\nVb78Mp+xYy0cOFBUjT3+eBQDBniqpGikoGYQFQWdOyvA2e3e5dJi2E6elOnQwUdSUmDvE70errvO\nhcmksm+fhM8X2A4HgtLR66FVq9q7cC2LpCSlXPbeurXCd9/Z2L5dx7FjEmazSnKyD0WRiI/X5pZO\nnXwYjWW+laCWEuz1TQNVVY8AqKqaCTQ4dTwBOFDoeRmnjiUABwsdP3jq2Fmpiv3lCy7wEhmpCRFJ\nUhk0yM0vv+QxYEDwV+uHDkmMHm3lvfciyyyHUFHat1f4+ec83n/fRps2Bd9Z5Yor3OWK96gOytPC\nK5RiDWo7W7bouPpqKzfdZGHoUCubNwd+uFEUlaNHZR57zExaWtmfJ+xBUECwbCEuTuXii72MGOFh\n6FAvrVqpJCcrjBjhoXt3IdCCQSiNC6GW3Rkas30JXHyxl5Urc8nOlqhTRyU+XgmZyskF9aFefz2S\ngQM9XHhhYGIXmjRRGT3aw6WXesjK0ibAxo2VoDcRdzq1eMH3349g0CAPV1/tCWhle0H5OHRIPt1w\nPitLZsIEMz/+aCM+PnC/jSxLLF2qpR+vWaOndWt3Ga8QCATBJj1dZt8+ma5dvSI54gyCLdKOSJLU\nUFXVI5IkNQKOnjqeATQt9Lwmp46VdrxEvv32Wz7++GMSExNJSUkhJiaGTp06na6BUqCWy/NYkiAz\ncyUASUnn/vpAPk5I6Iskqajq70ya5OO337rTsKEakM9TFLBa+3HypISirCAzM/jfX5L6MXKkBfid\nJUsgOvp8xozxlPr8AgJxPi4XJCRcTGysyo4dq4JyPULl8YEDvwNm4BIA9u5NYc4cO/fdd2HAPl/r\nZDEcgLfeWkPjxg4GDz776wsI9vUSj4P7uOBYqJxPuDxOTu7LhAlm/vknhcmTHTzzTK+gn1+fPn0C\n+v4pKSl8+eWXACQmJtKgQQMGDhxISVRrg3VJkpoDP6qq2unU45eALFVVXyolcaAn2nbmYvyJA2uB\nu4F1wM/Am6qq/lbS51Vl4kAoc/y4xIABVg4e1AJwvvsuL2AteNas0XHllVa8Xvjxxzx69w5uxpHL\nBTfcYGbJEv+ewIABbr7+Oj/gFe7PxGaD996LPFWuxM2rrzpo0CB8PXoHDkhcemk0x475tx0fecTB\nww87z/KqyrFvn0yvXtGnWkSprF6dW61ZhQKB4NxYulTPqFFaiYD4eIUlS3Jp1Ci8xs2QaLAuSdKX\nwB9Aa0mS9kuSdBPwIjBIkqSdwMBTj1FVdRswF9gG/AJMUv1q8k5gJpAK7CpNoBXmzBVzbSM2VuXK\nK/3bOp99ZsQZgHnw4EGJW26xnCrWKLFzZ/CjsrOzJTZvLqrGTp6US630HUhb2LxZxwsvRKKqEj/9\nFMGWLcG/PsGkaVOVt97KR5L8A64U4HJqDRsqdO5csECR2Lfv7ENcbR8bBOVH2EJwWLnSP34fOiRz\n5Ejway6Gki1Um69BVdVxpfzXpaU8/wXghRKOrwc6VeGp1QoGDPDyzjvav3/6ycjevc4q9yDs2qUj\nM9M/6R05Euy8E60ESqNGSpFz+c9/3EFp0fTHHwYSExVGjXJjMEB+vkRWFtSrV/3nEir06+fl889t\nPPSQGY9HqyMVSEwm+M9/PKxb549LGzYsMF5lgUBQeXbvLrqYLejYINAI/ixbDYRSH65A0bKlgtWq\neSwURQpI0/ENG4pq+jZtgl9cMSoK7r7b7zasX1/hsstKFwKBtAVFUbnmGvepLU8T48dbmDzZzMGD\n4TvoRETA8OFeli/PZeXKXDp1CrzNFC76uWiRkezs0p8bDmODoHwIWwgOvjOGhF27ZJYv1xc7Xp2E\nki2EhUgLBxITFSZO9IuVb74x4nJV3ft7vbByZVHhl5gYGrE+gwZ5+O67PN5+O58ff8yjTZvgnJde\nD9Onm7Db/aLs77/1pKfLbN8uk5YmBWQbuibQsKFaYnX1QJCYqGAyaZ+1a5fM0aNimBMIQpVmzfzj\ntcmkkpam49prLWzfLu5bCBORFkr7y4FCkmDIEA8FVUxSUvScOFF1Hhy9niKp0e3aeWnRIjREmsUC\n/ft7GTfOfbrZuqoWX6FB4GzBbocffjizoJHKo486uP56C717x9CrVww33WRm2bKq/W0ERWnSRDm9\nraqqEtnZpV/rcBgbBOVD2EJw0OYtjZEj3fzwgxGPRwpqOE0o2UJYiLSaytatMrNnG/n6awPp6WX/\nVG3b+hg7VksgyMmRycurWiHQv792MxkMKjNm2KlfP/QycE6cgHnzDIwebebaa80sX66vFu+VyQTD\nhxetySXLKjqd9lsA+HwSCxcaGTnSys03m9m3Twi1QKDXw/jxfjdyYc+mQCDwoyiwapWeu+4y8fff\nwUl06tTJx+jRLjp18pKYqJwO1Snwhoc71VqCo7qpySU4/v1X5vLLo08Lrb59PcycmV9mkdbt22UG\nDYrGbpdYvDiX7t2rbmP/wAGJX34x0L27j27dfEX68R0/LiHLalCD5B0OeOWVSKZPL5w1oFZbqZAT\nJ2DtWj3bt+upU0ehSxcfDRsq3HefmWXLDMWe36ePh1mz8kNS7NZ0jh+XuPxyCzt36pk9O08kD9Qw\nFEVrd1enjoqh+K0jqCK2b5fp318rWWM2q/z2Wy4dOlT/DsmiRToWLIhgzhwjiiIRG6uwbFkuTZqE\nx9gYEiU4BOXH5YJXXjEV8YStWmUotZxAZqbE3r0SBw9KtGmj8PHHNgwGtcrbNTVtqjJxopvzz/cL\ntPR0meeei6R//2gGDYrm44+NZGYGx3Oxb5/MjBlndvqWyuWFrArq19eC5B980Mmtt2rXqWlTlTfe\nyOf++x0YDEV/j5QUAxkZ4evlKU8br8IcOiTx5JMm3n47oszfNDZW5amnHIDo31nTOHJE4q23Ihgw\nIJqUlGoudhhm7Nkjn6opqGWjr1oVHEVsNEp89VUEiqLVN3zrrfywEWhlERYiLZD7y4qirdpLq8tV\nEXJyJDZuLD44nVljau9emddei+SSS6Lp3r0OvXvH8PHHRnr29LJsWW7AA/vtdnjxxUhee81ERobM\n3r06Hn7YzP/+F0GBg9bngz/+0PHQQyZefTWS1NTAmZzPByU5hgvf7MGINWjaVOWRR5ysWJHLu+/m\nM3q0i6uvdvPBBzaaNg2NuL7qZPduTdiPGGFm69by20NKip633opk6tQo7rgjqsx6Sr16eXnkEQfx\n8aVf41CKPRHA4cMSkyebefrpKDIy5CI1tAJNONqCzVb0Hvr+ewPuIHRS69rVyzPP2Bk82M2cOTYu\nvji4nu9QsgWxTCmDEyckJKn0bbwVK/Tcc4+Zyy5zc8cdTpo3r7z6t1hUWrb0ceiQfwJr3dpbRHTt\n3i0zcqSF/fv9boK8PIlHHjHTs6eXzp0DP/mfOCExf37x7r+zZkVw440uGjRQ2bRJx1VXWU/Xvvni\nCyPz5tlo1arqz695c4V773We3u6UJM2b0qVL8Le69Hpo106hXTs3114bvv0kt22TufJKKydOaLad\nkuKlQ4fypSFv3eq39bVrDaxcqWfUqNJXRzExcNddTiLPdK4KQhKPB+bMMZ7uvQoELVM7XDiz/7TN\nJuF2U+1N3WNiYPJkF3fc4RKe7zMIC09aRWuerF6tZ+BAK0OGRPPMM5Fs2yYX8dS43fDqq5FkZMh8\n9FEkY8daqqQmVlQUTJtmJy5OG6Bat/Yya1Y+cXGFPUL6IgKtgNhYpdpinGJjVYYNKz5J9u/vITpa\nO4cNG3RFihMeOKDjjz8CszawWODee538+msuc+bksXx5Lrfd5iqSlRpK9W/CjcOHJSZNMp8WaMDp\n2n7l4czG7G++GUlu7tlfYzKdvcuBsIfQYft2Hc89VzSeNDm5+oplhaMttGrlQ5b991WHDj4sluCd\nT6gItFCyhbAQaRVl3z6Z/ft1pKXpmD7dxKBB0Xz3nQGbTft/nY4i/SF37tQzb56xxC23c6VzZ4Wl\nS3NZtSqHH3+0Fese0KiRQkG5jQKSkrzMnWurtr18kwmeeMLOjTc6MRhUIiJUxoxxcf/9jtPei5Im\n4UDGiEVHQ8+ePgYN8nLeeYrwooQQKSl6/v23sEBXSUoq/yTctm3R56am6s5aXkNQs5gzx4jP5/89\nr7/eTbt25bcPlwv++UfHjz/qAxpWUZto2VLhvvsK0t9Vxo0LXy9/qBIWllzR/eXOnb1ERvpFhsMh\ncfvtFr780ojHo4m0Mz1Jr75qIi2tai5rkyYqHTooRTxoBVx8sZcFC/J49lk7L76Yz5w5eXz/vY0u\nXaq3THPLliqvvOLgr79yWbs2lxkz7LRs6T/fjh19xRIYunYNXinpUIo1CCdcLvjss4gix8aNc9Oh\nQ/ltoV07H927++83VdXqoFUGYQ+hQVaWljleQN26CpMnO4ttx5VGRobE1KkmBgywMn68le+/P/f9\nunC0hchImDjRxZw5efz4Yx49ewY/NCQUCCVbEDFpZ6FDB4X338/nllvMRVZ4//d/UfTo4aNrVx8D\nBngwm1Xy87X/t9kkDh+WSEoK7LlFRUHfvj769g1+ayaDoWjV6MJ07Kgwf34ejzxi4tAhHbfe6uSi\niwLbv1EQeuTmSqSn+/cyEhN9PPCAA7O5/O/RoIHK9Ol2RoywcvSozLXXumnQQMQs1QYcDsjK0ha3\nMTEKs2fbaN26fL/tgQMS99xjZsUKv8g7W7JIuJGbq8UPx8SUHFsdG6syaJAQZ6GKqJNWBh4PrFun\n47//NXPwoH+S+eAD2+mg5W+/NXD77WZAE2rz5uVxySXC6AuTm6t5ImNj1ZCJOxBUH4qiZQK/8UYk\nY8a4ueceJ8nJFZtI9+6VOXBApmVLn0jTryV4vfDVV0YOHpS56ip3sfCO0jhxAqZOjeKrr/xeWoNB\nZcWK3HK/R21n5kwjDz0UxXnn+XjqKQe9enlFGEiIcbY6aUKklZMDByQ2bNCzYoXmfLz9dtfpQSA/\nH37/3cBjj5mIjlb58svqiwsTCGoKOTla94W4OAWTqeznCwRlsXixnjFjrEWOvf12PqNHu4vEC4cz\n115rZtGigu1flffey+fqqz3VnsEpKJ2wL2ZbFfvLTZuqXHmlhzfecPDGG44iqzSzGS67zMOSJXnM\nny8EWigTSrEG4UZMTEHz82CfiR9hDzUXpxM+/LBonOMjjzi4/PKKCbTaaguXXVY4vETLsP7zT7Gd\ncTZCyRbEWqMKKatlk0AgEAiqBrsd9uzRxEZUlMpzz9m56io3VmsZLywFnw927JBJT5ex27U2ScnJ\nCi1a1Oxt0169vNSrp5yO+VNVibvvNrN4cZ6Ys2oAYrtTIBAIBDUOVYW//9Zx5IhE69YKycnKWWvi\nnY3DhyU+/TSCGTMiT7dJAmjQQEt8qunxbSkpOkaMsOLx+L/bokW5nH9+8BPPBGff7hSeNIFAIBAE\njLQ0mX37ZKKjVdq29VXY03UmkgQ9elSNyPjmGyOvvFJ8H/7oUS1JpaaLtIsu8jF3ro3bbzdz7Jjm\nUauooBVULyImTRBWCFsQFEbYQ2D5808dQ4ZYGTVK69zyyScRVdrnuCrw+WD9ej2wotj/9e7tOada\nfqGKLEO/fl4WL87lq6/ymD8/j9ata/73ChShNC4IT5pAIBAIqpwjRyRuvdVyOhYK4NlnTQwZ4qFt\n29DxTOl08MQTDpxON1u3KjidkJzsY+JEFz17emncuPaEBCUmqiQmVm95KI9Hq6UpqBhhIdJCqQ+X\nILgIWxAURthD4MjMlMjIKLpZ4/NJIedJA0hKUpg9uwdZWbn4fFCnjhpSWcg1kR07ZJYtM/DzzwZ6\n9/Zyyy0uGjasGYI3lMaFsBBpAoFAIKherFaKdGMBrdVeQkLoeNEKo9drXS0ElcPng1Wr9EyYYCY3\nVxPpa9YYGDzYQ8OGYov1XBExaYKwQtiCoDDCHgJHy5YK772XT0SEJny6dfPw7rv5JbYmCgWELVQN\nf/yhZ/Roy2mBBmC1qtSrV3MEcCjZgvCkCQQCgSAgXHaZh9Wrc7HZID5eFXW5ajnHjkk8+KAJr7do\n6uhTT9lp2TI0PaihTliItFDaXxYEF2ELggJSUnRs3TqQxEQPiYliAgkEskyNmZzF2FB5MjMldu0q\nLCtUpk51cPXV7qCdU0UIJVsIC5EmEAgEZzJ/vpFZsyKZM8fLzJk2WrQo7uU5dkxizx6Zbdt0uN0S\nPh/ExKiYTCqRkSpRUVrcVVSUitmsEhmpVb+3WDSBcjYcDti1S8fu3TJHj8ocOSJhs0k0aqTSqJFC\ndLRK3boK9eppW0WNGgkvlCC0qV9f5ZJLPKxdq6dXLw/33OPiggu8IgmjEoSFSEtJSQkpZSwIHrXB\nFrKyYP9+HU2b+qhfP9hnU3NJTlaAFWzadAmTJpn59NP8YtlncXEqJpMPq1UlLU3HggVGVq7Uc/x4\ncQUmSSp166o0aKDSsKGP5GSFtm19xMUp1KmjEhOjEhMDVqtCnTpw9KjE9ddHcfBg2cNwgwYK48a5\n6NfPS9u2vhqTJVeTqA1jQ7CJj1f5/HMb2dkSsbHaoqUmEkq2EBYiTSCoLWRmSjz0kImff47g/vsd\nTJniFDWIKkjbtv5Msz//NLBkiYHrriu+LWOxQPv2Cu3bKwwf7uHIEYljxyQOH9b6PC5bZmD9ej0n\nTshkZUlkZcGOHTp+/734Z+r1KgkJCklJPrp08TFlihOdDrKyJPLyJA4d0jxraWk6jh6VAC225+hR\nmenTTUyfDh07evnww/yQqjUWihw/LrFhg46DB2W6d/fSubO4XtWBxQIWi1hEVBWid2cFSE+X2bBB\nx6ZNOurUURk61FPj24YIagYffGDk0UfNABiNKn/+mUuzZsL2KsKhQxLDhlk5cEBr0m02qyxblnvK\nw1Z+vF5NEJw4IXHkiMzhwzKrVun5+289+/fLxYKoS0OSVOLjVVq39tK+vY+4OG1s9vm0gqCZmTIn\nT0r06OFl8GAvSUnidy+NfftkHn3UxMKFRgDatvXyyy951KkT5BMTCEpA9O6sQrZtk7nuOjPp6f5L\n9/77CkuW5NK0ac0SvE6ntuI/cMDfV68mbKM4nVpNI30IWm9GhkROjkRUlLZFFRVVde995IjEjBn+\n4A63WyI7G5o1q7rPqGpWrdIzd66BCRPcdO8eWjWS4uNVnnnGwU03WQDIz5f47TcDSUmuc+prqNdz\nKo5MpUMHTThdd52brCzIzZXJzoasLM3Llpqq46+/dKSm6snM9HvKAFRVIiNDIiPDyPLlRT8jMlKl\nfXsvl1ziJSFB5fhxCUnStpRiYip7JWoXWVnwf//nF2gAJ0/Kpxqnh/74JhAUJgSnuaqnqvaXs7Ph\nvvuiigg00IKL7faaNQDk58Mnn0Tw1FMmVFWbKHr39vDhh/kh2wbl0CGJRYsMzJljpE4dlQcecHL+\n+ec28Qcy1mDzZpmRI60cOyYjyyqDBnm4/XYXnTt7q6Q2VGamRGamPxZKkrQA9VAlPV3m+ust5OVJ\nLFgQwS+/5NKxY2h5f2R5BT16DGHdOm3P+M03Ixk50l0l90C9elCvXsH3Lfjbg88HJ05I5OZKnDwp\nkZ2tCfu0NB3//KNj1y5t4aSJCg2nU2LDBgMbNvj3tmVZJSlJoU8fDxde6CU+XqFRI5XGjZUaGwtU\nFWzZoufXX41Fjl17ravM8h+hFIckCC6hZAsnTn3vAAAgAElEQVRhIdKqipwc6VQj3qJcc42b+PjQ\nmnzKYtcuHU8+aaLwSn71agMbN+pp3Dj0+rZkZ2t9/77+OuL0sZQUA0uX5tK6dcnXXlU1T8769Xq6\nd/fSrVvge9adOKFdT0WRWLjQyMKFRnr39vDKK/ZKxxDl5hZ173Tp4qVBg9C1u6NHtTgrAJtN4t13\nI3nzTXtIeUDr1lV58UUHl12mx+WSOHFC265s3DhwXj+dTqtsX7y6vQdV1Ww9L08TcTk5BX+089q3\nT2LvXh1Hj8ocPSqRmiqTmhrJJ59o72AwqPTu7eXaa920aeMlMVGhbt2AfZWQ5PffixqY1aoyapS7\nzGxbgSAUCaHhMnBUlSKOjVX5739dvPtuwTJVZfx4Fw884MRqrZKPqDZyc6GwQCsgVGMUU1N1RQQa\naNtTx45JtG5d8msKPDk2m/Y9p0xxMHFi4FZHbdsqvPGGnXvuieJM8TtqlIXvvrOVKijLQ0xM0d/m\nzjtdNcruvv/eyMMPO2nePHSEZZ8+fVBVH3Pn2hgzxoLT6ReWwUCSoG5dTTyW5pn3+SAvD+x2Caez\n4G8JhwNcLglV1d4nK0vGYoG6dUPnelcHhUMM6tRRmD3bRvv2ZV+DUPGcCIJPKNlCWIi0qsJshoce\ncnD55W7sdonYWIVWrao27qi6SE5WOO88L//+6zeBpCTv6ZiaUMNdQi3EyMizVzB3Ojkt0ABeeslE\nUpKPESMC4yk0GDSvav36Kg88EMWRI/6le0aGjvnzjUyZ4qzw+yckKFxyiYcVKwyMGuWiX7/Q83gW\nJi5OqyXmdGq/gdMpcfy4RPPmwT2vM5Ek6NNHCyxfuNBA06aheQ8UoNNBnTpaE3CN0FxYBYsrrtAG\nC6tVoV8/L23ahPbvKRCcjbAQaVW5vxwTAz17hlYAdEVo3Fjl00/zWbNGz8aNOrp29XHRRd6QzRRs\n1UqhSxcvmzZpJqvXq3z88dk9Uw0bKrRr52X7dr+ZT5nyF717dwtYYVCzWWuF06FDHps26fjoowh2\n79ah10PXrpXbbq1fH6ZPz+fQIZnk5NCvkdakicLll7v55hu/B/RcAvKrg4KxQZKgSxetLIagZpOc\nrPDAA+e+GAqlOCRBcAklWwgLkSYomebNFZo3dzN2bLDPpGwaN1b54gsb//6rw+ORaNHCR7t2ylkn\n/bp14ZFHnIwf74+uz8qS2b9fplGjwE7GzZopNGumMGiQh7w8CUmihBikcycxUSUxsWYICb0e7rrL\nxa+/GrHZJGJilJCOoRMIBIJQQ9RJE9RqsrNh+vRI3nzTX7pi6dJcunatGUKnNrBxo46vvjJyzTVu\nevUS110gEAgKI+qkCcKWOnXgvvucdO/u44svjFx0kZeWLYVQqE66dvXRtasj2KdRJl6vFu8Valuy\n4YCiwO7dMqmpOlQVevTwil6lAgEQFknJKSkpwT4FQRCJiYHLL/cwd24+55+/VBT/FJymYGzYvFnH\nuHFmJkww8/XXRrZulfEJLV8t5OfDggUG+vWL5sYbLYwfb2HjRl21n4eYJwQFhJItCE+aQCAIe5xO\nWLLEAEj8+KMRo1ErljxqlDukSobUNpxO+PZbI/fdV7RsTTgX4xUICiNi0gQCQdiTnw+vvx7JG2+Y\nihxv0sTHhx/mc8EFPlEMNQCsWaNj+HArhQVafLzCokW5xMfX3rlJICiMiEkTFMPp1GqPRUcH+0yq\nF1WF1FSZfftkcnMloqJUWrRQaNkyvFvphDtmM/z3vy7y8iQ+/thvCAcP6rjqKivz5uVx0UVi/7Mq\n8Xph1qwICgs0k0ll1iybEGgCwSnCYm0YSvvLwcbjgdWrdYwda2HYsGhmzzac6j4QHrz99hr6949m\n7FgrEydauOEGK337RvPSS5EcOyYixsONwmNDXJzK4487+N//bIV6bmqN7K+7zsKuXWExXFYbDgds\n3er3E8TGKsyfn0ePHsERw2KeEIDWVmzcuHUsWaInKyvYZxMmIk3gZ+1aPVdcYeX33w1s367jrrss\n/PNPeDhU3W746quI0xXwC1BViRkzTGzaVP3ByoLQIjpaK0a8eHEezz5rJyFBE2s5OTIHD4rhsiqx\nWuHFF+3cfruTDz6w8euvuVxwgfBWCoLLrFkR/PabkdGjrdx2m4X9+4O7eBcxaWFEfj6MHm1hzRpD\nkePvvmvj2mtDu8VQVbF4sZ6xYy0oStEbT6dT+eWX4K3iBaHJsWMShw9L+HwSzZr5qFcv2GckEAgC\nyUcfGZkyxXz6cd++Ht57Lz+gW/AiJk0AaA3J9+0r7i1q2rT2CvUzueQSL4sW5bF8uYFFiwz4fHDh\nhV6uuMIdlgVuHQ6tPpVOR7maUNdGFEX7oy9hNIyLU4mLC5/7QyAId3r18mIwqHg8mmZatcrARx9F\n8OCDTszmMl4cAMLCfy9iDTTi4lTGj3cVOTZhgpMOHSrXU7Im8eefKXTr5uOBB5z8+GMeP/2Ux7Rp\nDnr08JU4SddmDh+WeO21SPr1i+byy60cOBB+MXkzZ/7BDTeY+c9/rNx4o5knnojkm28M/PmnjoMH\nJZTw1K0VJicH/vlHx9KlenbvrlnTi5gnBKAtVu+447cix2bMiCQ1NTjhMGE2LYU3kgTjx7to08bH\njh06zj/fS5cuXurUCfaZBQejMdhnEDxsNq1d1kcfaZmMJ09K5OVJQHh5jSIjVf75R8+hQ8UFhdWq\ncvXVLi67zENSkpYBXBinE7KzJTweLVMxKgrq11fDTuyD1n5t7VoDL78cwaZNekBi5kwbSUlC5Qpq\nFjqdtrtiMDh47bWCkjwSGzbogrLbImLSBIIw5Pff9Vx9tYWC8gdWq8rq1Tk0aVJ7x4PSSE+XWbhQ\nz3PPRZ0SqsWxWlWeeMJO794ejhzRPEV//aVn714dOTmaUGvYUOX8871MnOikRw8fERHV/EWCxI4d\nMk8/bWLhQv+qp359hV9/zas1Ii0/H44ckVFVlYQEVZTrCQOysuD7741MnRqF3S4xbZqdO+90lf3C\nCiBi0gQCwWmOH5eYOtVE4fpUt93mDNteic2aKdx+u5uBAz3884+eL7808vvvBny+M8dMiTFjrBw8\nWPK2x5EjEj//bGTzZpmFC200bFi7r6fbDatX67n5ZjM5OX5PZESEypdf1h4v2s6dMs8+a2LhQgOK\nAvfe6+SOO5zUr1/x93Q44NgxGY9HiL5QpV49uOkmN336eDl4UKZFi+DYc80KGqggItZAUICwBcjI\nkNi82b8+s1pVRo50h+U2XWF7aNVK5ZprPHzxRT6rV+cyd24eTzxhp2tXDxde6GHjRrlUgQZaIdaJ\nE53MmZNf6wUawKpVekaOtBQRaHFxCvPm5XH++TUvCaeksSE9Xea668z8/LMRr1dCUSRef93Ejh0V\ni09yuWDdOh033WSmV69oevWK4csvwzjuIkQpsAVJgtatFQYM8AZNpIXhsCwQhDc5OYU9RCrvvJNP\n27a1w+tRFZhM2sDcurXCpZd6mTjRRV4e5OVJXHmlhyNHZLZu1WEwqMTGqjRpolCvnkpioo/mzVV0\nYVBub/NmHePHW1BVvy1dcYWL//s/J8nJtceWtmyR2bOn+DRZkYSSY8ckvvrKyNNPm4pct507w8Bg\nBBUmLERanz59gn0KghBB2IIWO2U2q0RGqrz3Xj59+oRPdu+ZlMceoqK0Pw0bqiQlhe+1Ksz33xuw\n2zWh0batl6eectCzp5eYmCCfWCUoyRZK6tfaq5eH1q3PTaV5PPD110aeeiqqyHGdTmXUKPc5vZcg\n8ITSPBEWIk1Qc1i0SM/SpQZGjnTTpYsPg6Hs1wjOjTZtFFauzMFohISE2r8tV1mOH5fw+cBoVImO\nplo8ZW63ljGqqtqWi8mk/R0qDB/uoXNnH/HxCq1a+ahbN9hnFBjOO8/Htde6+PprI0YjjBnj5p57\nHOe8nb1zp8wzz5iKHNPrVd59N5/OnWve1rCg+ggLkZaSkhJSylhQOjNnRrB4sZGZMyN48UU7Y8e6\nq7SAoLAFjRYthDiDsu3h668NPP+8CZdLwmpV6drVe6okh4+WLZVK26bdrgWQHzsmnfojs2WLjs2b\n9Tgc4PNp3pxmzRTGj3cxYIA3JMRat24+unWrXeKiJFtISFB55RU7997rxGiERo2UCgX522xSkUSU\nrl09vPSSg65dfWGxPV7TCKV5IixEmqDm0KuXj8WLQVEkHn44inr1VK66ylPitoNAEGjMZk717JQ4\ndgz27NHx3XcRgEqfPl4mT3bSo4f3nDxJx45J7N0rs26dnnnzDGzbpsflOrvyiojwEBenhIRACzfM\nZs55e/NM2rf3MX9+HtnZEnFxWrxjbKxYKBXG7YYDB2SaNVPCMompNESdNEFIsWaNjuHDrRSUhzAa\nVRYvzqNTp9q1ahfUDBwO+PNPPXffHVVqZufAgR6mTbOXmXxx+LDEsmUGXnklkv37y3afJCQo3Hqr\nkwsv9JKcXHu3FAUC0Go3jh5t4bPPbAwdGl6xn2erkyZEmiCksNng0UejmD3bXwl08GA3H32Uj9Ua\nxBMThDX790v8/beejz6K4M8/tYr6hWne3MuCBbZS++C63fDBBxGkpsokJqqnswM1z5iKyQRms0q9\neipms0JcnEp8vEqDBrV3fBYICrDbYcQIC3/+aSA2VmHZstywKqwd9sVsQ2l/ubaQnw8nTshYLAr1\n6lXd+1oscM89Tlas0JORoXkbFi0ysH+/TIcOlU/tF7YgKEx57SExUSUx0cOgQR7S02X275f5+289\nGRkyNptEv37eUmOLnE7YtElHRoZMSoqB9HRt+/RMLBaV88/3MG6cm06dvEKgVTNibAgehw5p9xPA\n8eMyqak6mjQJnjctlGwhLESaoGrZuFHHk0+aWLNGT+vWPqZNc9Cnj7fKemEmJSl8/nk+I0ZYyM7W\nJrSMjKoRaQJBZbBaoWNHhY4dFS67rHyTyI4dOq64worXe/aAMkXRsjj/+UdHo0YKkqRgMmkZpQLB\nuWK3w4kTEpIEsbFaV4PMTImsLIl69dSQ6jCiJcn474+jR0XwZQFiu1NwTqSnywwcaCUryx/JL8sq\nS5bk0aVL1caNpabKvP56JEuWGJgzx0b37iIuTVDz8Hi04q+rV+v5+WcD//6rx+ksOgkZjSozZuTz\nyScR7NihrZ3NZpU6dVQuuMBDr14+4uN9JCSoxMcrmEwlfZJAALm5kJJi4J13ItiwQbOlHj283HCD\ni2++MbJkiZEmTXx89ZUtZBa+W7bIXHyxv8jeY485ePBBZxDPqHoJ++1OQdVx4IBURKCBlom5Z49c\n5SKtdWuFN96wk50tia0fQY3FYPCXrLj1VhfHj2sN2X0+CVUFg0FFr9d6XtrtEo8/rsfhkMjLk8jM\n1Dxxn39e8F4qPXp4GTPGTY8eXlq1UkQtQUERVq40cOONliLHUlIMpKToeeEFB0uWGDh4UMfu3bqQ\nEWlRUSBJ6ulODB5PkE8ohAiLwgaiX2PV0aiRVq2+KCpNmwbmZjeZoHHjqmu1I2xBUJjqtgeTCZo2\nVWnZUiU5WSvF0KKFStOmKg0awPjxbpYty2XGjHwSEorfUx6PxB9/GLjnHjMXXxzNww+b+Pff0C20\npaqQk6PFsIY6tWVs2LevtGldwuEo6KKg0rhxaAg0gOjoonNIdHRwF+WhZAvCkyY4J1q1Upg928bk\nyVpJgrp1FZ591k779mIrUiCoLLKsdYRo08bNoEEe9u+XSU+X+flnI3/8oef4cf8E7PVKfPZZJHPn\nRrBgQWg0NbfbYfdumYMHZbZs0bNhg459+3RERKi0bKlwzTVuLrrIQ/36wT7T2st//uPh779d/PCD\nkYIElYL2U3v26FAUiUcecdChQ/DtpYDYWJX//tfFY49pbbPEfOJHxKTVUHJztca8Bw7IeL3Qtq3C\neecF3rAdDti6VebIEZmcHAlZ1iaW+vW1RtPNmlWsIrcg9PB4YNs2HcePSyQkKLRpI4qpBgufTyuC\nm5WldSXIz9e8aooCMTEqycm+Ust/VAeKomWwvvVWBAsW+MXBmURGqixZkkv79qHjxamN5OVphWGP\nHpU5eVJi1y6ZxYuN7N0r89RTDi67zF2lWflVwa5dMpdfbiUmRmHePFtYtawTMWm1iIIg5GeeMbFy\npT8YpUEDhRUrcgOesZOaqmPwYH+x2cJIksott7i46SYX7dqJQbims2qVVlxSUSRMJpWPPrIxZEjp\npSYEgUOn00INtPs79O6tjRt1XHaZFY+ndBXfubOXF1+0i7GhGrBaoX17hfbtFZxOSE6W6dfPS0KC\nErL1x5KTFX76KQ9JEj2FCyNi0moYv/+uZ8gQaxGBBtCli7da9vFbtvSdyrop/lmqKvHxx5EMG2Zl\n27bQNK3aZAuBxOGAl16KRFGkU48lbrrJwvbtofm7VhRhD1WDxaIyZIgHq1VFGxtUYmMVevf28Pzz\ndn78MY/vvsujZ09fyHpja6stREZqZWN69vSFrEADTiXRwKFDEj/9pOeXX/Rnia8LLKFkC8KTVoPY\nsUNmwgRLkXoyAHFxCk8/7SAqKvDnYLXCvfc6GTzYwyefRPDbb4ZTtcz8yDJl9iIUBI6sLC1bqjLb\nzpJEsaxBj0ciLU1Hx47CEyIoSps2Ch99lM/x4xIOh4QkqZjNULeuSkRE2a8X1AzS0mS2btWxcKGB\n/HyJiy7yMHy4p1KeL48Hdu6UWbDAyIcfRpKX5587Xnghn4kT3VVx6jWWsBBpoVI5uCzcbs5aEDYz\nU8ZuLyx+VK67zs1ddzkr3QD4XIiKgvPP99Gtm53MTIljxySys2VcLrBaVRo3VmnePDQn8ppiCxVl\n3jwDzz9vIjZWYcgQD336eGnb1nfOLbUiI+Hmm1388UdRpVbbGh/XdnuoTiIiCrapQtdbczaELZTO\nyZPwww9Gpk6NKiKifvjBSKtWeSQkVKw7QGamxMyZEUyfHlnM+RAbq3DxxcHpOhBKtlDLhtyaSU4O\nLFli4LPPIhg+3M2YMW7q1Cn+vHbtfHz0kY3du3UkJCh07OijdWtftXjQSkKWIT5e6zEYinEyZ+PA\nAYnDh2U6dvRfP5sNbDaJ+vXVGlt7ymCAPXt07Nmj46+/DIBK//5epkxxcN55vnPyrvXr52HKFAcv\nvxyJqkp06uTlvPPCq/GxQBDu5OfDhx9G8tJLxSsox8YqNG9esYS1gwcl7r/fzJIlxQfb9u29fPxx\nPm3b1qx5JRDUrgCTUgil/eWS+O03A7fdZiElxcCjj5pP9zA7k4YNVUaM8DBlipPrr3fTpUvwBFpN\npcAWjh6VGTrUysyZEdhssGePxPjxFi6+OJonnzRx8GDN3K7t3dvD5MmOQkckli83MGyYlWefjSQz\ns/zfq359rY/q77/n8uuvuXz9dekNxGsqoT42CKoPYQslk5Ym89JLxVd3jRsrfPttHq1aVWxMWL7c\nUEygNW/uZdYsG998YwuqQAslWxCetCCzf7/Eww+bixzbvVvHpZcKj0UgiY5WkWV48skoWrTwsX69\nnuXLtQHj/fcjyciQePNNOzExZbxRiFGvHtx3n5OmTRWeeCIKt1sTZaoq8e67JtLTdbz4or3cMSQF\nQccCgSA8sViga1cvGzdqnvnOnb3ceaeLnj29lVq0nXeej+uvd6KqEh07+ujUyUtSkiK6y5yBqJMW\nZNat0zFkSNEOyjNm5HPDDeEdLBlo7Ha4/noLK1YYuOQSNx6PxOrVRVd1ixblVmuB0BMnJN56K4JW\nrRSGD69cHSNFge3bZT78MJLZs42nszQBnn3WzqRJrio4Y4FAEA5kZcHx4zKyrCWqVffi1eHQYrZr\n2qK5vIg6aSHMmenokqTSrp2othxooqLgxhtdrFhhYNcuPUOHuouJtJMnq3fL899/dbz5phb3oShw\nww3uUy1czh1Zhg4dFF5+2c6ttzpZv17PokUG9u3TodNpxVFFvTOBQFAe6tWDevWC41Hft0/miSdM\npKbquP12J1dd5a6WjhWZmRJpaTJ6vVajMD7+3Pvk5uRAXp5EdLRKdHTZzy8JEZMWZJo2VejUyb+1\n+fjjDjp1EiItUBS2hU6dvERHK2RkyDRvrpyq8aQhyypxcdXrZT5+3C8KH344itTUyt+eERHQqZPC\nhAluPv88n19/zWXiRJcQaKcI5bGhKnA6terzgrKp7bZQU5k/38DPPxvZtUvHQw+Z+eKLiDIbsOfk\nQFqaRFZWxT4zJSWFjRt1XH55NMOGRXPhhdFMnWpi82ZduZq/Z2ZKfPGFkaFDo+nZM4ZrrrGwZUvF\nxvOwEGmhTMOGKjNn5vP++zbmzcvj5ptdoq7QOXD0qMSWLXK5bpwzadVK5YkntCD7116L5Mkn7Vx6\nqZt27Xx8/HF+tfe2K5yC7vFI7NxZtUpKry//dsHJk/DHHzoWL9bzxx86Dh+umYkU4crBgxL/+5+R\nK66wMHRoNI89ZmLHDjHcC2oeZybSPf+8ibS0km3Zboe1a3WMG2ehR48Y1q6teJp+y5YKdepo3kOn\nU+KDDyIZONDKu+9GkJFR+nh4+LDEffdFcc89Znbu1OFwSGzYYOCFF0xUJLosLLY7Q6XmiWZAek6e\nlGjXzne6f11SkkJSkgjOPleOHpWYPDmKZcsMfPmljcGDy062ONMWLr3US2yswvHjMg8/HMXLL+dz\n9dUe6tYN1FmXTsOGRW3g99/1XHllBdRnFbBggZH77/cntDRsqDBlioMBAzwkJtaeONZQGRuqkuPH\nJSZNMpOS4p+gtm/XBPeCBbZTJXMEZxKKtnDggMTu3TpMJpXu3X01tjRQZeje3cevv/ofe70SR49K\ntG1b9Hm5uTB7dgT/938mCtoW6vUVs3XNFhTmzLFxzTVW8vOl05/99NNR/PCDkZkzbTRvXvz9N2zQ\ns3Bh8YKnLVtWrPexWFpVI2lpMiNHWrjtNguDB0ezdKken9jZrDCbNulYskQLin/00agi24XlpVkz\nhddeswOgKBKPPGLm4MHg3BaJiQpGo/+mX7dOH7StqtjYooPPkSMy999vZvRoC7t3i2EjlNmzRy4i\n0ApIS9ORkyM8ojWB7GyYM8fAwIHRjBhh5ZprrOdUPqc2cemlHiIji45HZ+425efDzJkR/N//RVEg\n0BISlErvhvTo4eOnn3Lp0aPoYnnjRj13320u8TcpKZa5VSsvN9xQsWStsBhtQyXWwOGQKDAgu11i\n7FgL69dXb3BQerrE3r2142f/4Qf/amXvXl25apuVZAu9e3vo10+7Cb1eiXXrguNgTkxUGDPGfyNH\nR6uVau1UGXr29DJhQvFBJTVVzwMPRJGTU773ycrStk2/+cbAt98aWL1ax8mTlTs3p1PzorqrIAE6\nVMaGqqR+fZX69Yt75m+6yUViovDYl0ZZtpCWJpOSouPQocCKpcOHJZ55xsQdd1g4flwbqzt39lKn\nTnh6QDt18jFnjo3YWM12b77ZSZs2fvGlKPDzzwamTStcbFfl9dfzK9yuqrAtdO6s8MUX+cyaZSMh\nQSn0HAPbtxefv3v39jJmjAurVaVFCx+PPeZg7lxbhbsChcV2Z6jQpIlCw4YKR45oN57XK/HIIya+\n+85WbdtrW7boeP11E599ZgvpZrtl4XbDrl1FbxCPp2KDZ7168NxzdoYPt5KTI/PRRxFcfbW72rc8\nDQaYPNnFr78aOX5c5tJLPUHb3oiLU3n0UQd9+nh4/PEoMjP9wv6vv/RkZ0vExJzdfnbtkrnrrqhT\nnQ/83HWXg4cfdmI2l/LCs5CeLvPcc5GsXm3g4os9PPSQk5YthfAoTKtWCvPn2/jiCyNr1+qJjdUS\nR3r18lbomoc7x45JLF5s4NFHtZZIX36ZR3x8YOpYZmZKPPWUiW++KewqUpk61XHOrd1qC5IEfft6\nWbYsF5tNIj5eKZIpuXOnzD33mClwgAC88IKDvn2r7jdq0EDlyis99OiRy969MhkZMj6fRNOmxcee\nFi0U3njDzhNPOIiMVCtVSgnCRKSFSqxBfLzKk0/amTTJcvrYpk0G0tJ01VaP6+RJmY0btcKtNb0W\n25lBmAZD2aKzNFto317hiy+0+IOdO/VkZMjUrVv8BnQ4YOFCA1u26LjjDmeVp4InJyssWJDHhg06\n+vQJ7l54XJzKNdd46NUrl127dGRmSvh8Em3b+sosYulywSuvRBYTaKC1mLn1Vhdm87kvEr7+2si3\n32oT2Jw5EWzZouObb2w0alSZ2JPaR8eOPl56yUF+vrY1VNt6rgaCkmzh2DGJF1+MZNYsv0s7Ojpw\ni9uffzacIdDg+ee1lm61jePHJbKzJex2MJu1EhUFGfUej+YtL+wJ05wKxa/9r78acLkKBJrKs886\nuPZaV6V2IUobF7Q2iD7g7L9HZCRVFvspbt1qZtAgD9df7+J///PfiLm51RdrUBDz9NxzJvr399RY\nb5rRCC1a+E5n/phMaon9Ts+FCy/0MXu2jVtvtZzami7O5s06br5ZW7X16ePlkkuqfkXdrp1Cu3ah\n4x3SBqZz+56qCtnZJV/D++5z0rjxududx8PprhAFbN2qZ+dOHY0aiQ4dJXGunjO3W9vW83igTRsl\nrDPN8/LgzTcjigi0887z0rZtYARTWprEU0/5+/xJksrLL9sZM8Zd6zygq1frmTQpigMHZDQPmEpC\ngsqgQW4GD/bgcsFTT0Xx0095Z92y9Plg6VJtTGjcWOHVV+1cfLGnVl2v2hGcVAahFHdSvz48+aSd\n11/Pp1EjhbZtvbRoUX0TclSUZvBHj8ps2lSzNfro0X5P4KRJznLF25zNFnQ6GDTIy9KluTRrVrIX\n7Z13Iilwq+/ade63j80G69frWLVKR3p67b39IiM1D8DYsS5iYxWiolR69vQwe7aN225zVsizYzDA\nBRcUz3atTHJFKI0NwebAAYmXX46kb99o+vePZsuWqouXXbxYzyefGNmyRUYJnfVHEc60hd9+M/DO\nO/44J51O5YUX7JXeviqNo0fl01mEzdaXakwAACAASURBVJt7+fZbG9df78ZiKeOFNZBt22QOHNDh\n36KUyMiQ+fTTSMaNs/LCC1FMnuzixImzv49OB9OmOfj22zx++y2XYcOqRqCF0rhQs2fpGkr9+jBh\ngpthw7SYo3r1qs+bVfiGnz3byODBHozFs4VrBF26eHnwQQd798qMG1fx6vxnUlo5lKNHZRYt8nty\n9uw590ls9Wo9Y8dqwSV16ihMm+Zg+HB3pb2AoUhSksL06XZOnJDwejU7j4oq+3VnY9QoD59/HkFu\nrvZjR0aqJQpqwblx5IjE44+b+PHHqvfw5+ZqPXJ37NAREaEFdF95pafSthBI9u7VSvIUZvp0e0DD\nUlq1UvjqqzxMJmjTxkfDhjVzl6M8XHWVB6Mxn6lTtTi/M0lN1fH++xH07u2hpC3OwnTrVvu2ggsT\nFiItVONOgnETarW4VEBi+XIDBw9KtGxZMweD+vXhoYeceL1gMpX9fKicLZw4IRWKfShe16w8pKX5\nhV12tsxdd5k5flxi4sTKxVCEKgYDFY4XK4lOnXz89JONzz83cuKEzC23OCvVAD5Ux4bqxOuF774z\nFhFoOp1KkyZVI37NZm2bcMcOHS6XxJ13mpHlfK65JniJMSVR2Ba2btWRk+Nf9b34Yj5XXeUO6Pk2\naKAyZEh4bNvHxamMH++mTx8vu3fLrF+vZ/VqPenpOqKiVJo3Vxg82E10dHAWYKE0LoSFSBP4adhQ\noXlzhX37dLjdEvv26WjZsuYODAYD1TbQ5+cXfVxSZk9ZdOvmpUAkF/DMMyYuvNDLBRdUbEW4a5eM\nLKu0alUzxfa50rGjj5dfdgT7NGoNO3fKPPVU0VXO3Xc7K2TfJaHTwZgxbubOLRCBEpMnm2nZMo8e\nPULTC1Kwhd6kiY/XX7dz4YUiMzYQtGql0KqVwpAhXtLSJN5+OxKbTWb/fpnDhyUaNw72GQaf2hsU\nU4hQ2l8ONvXqwdCh/riezZtL37I7cEDihx8M/PCDodYUUqyMLShK0WvQqNG5T2KdO/t47DFnkWOq\nqlUVrwiHDklcd52ZkSMt7NsXFrdzlSLGBs276/X6bbt9ey/jx1etZ7dLFy/XXOOvu+fzSdx5ZxTH\njoXOuFLYFi66yMuvv+by2295XHqpEGjVwbp1Bj77LJLvvjOybp2egQO9FarQXxWE0rggRvUwpKBw\nK8BPPxmw24s/59gxibvuMjNhgoUJEyw8+6ypmCcpkNjtsGGDFmC/f39oDORxcX5RlpTkrVArL5MJ\nbr3Vybvv2k4XHJUklaZNK+ZR2LNHZvduPenpetaurXrHuMsF69bpmDo1knHjzLz0UiQ7d4pho6bh\ncGhFUjMyJA4flnAUckQWBKsDJCd7+eST/Cpv/VW3Ljz2mIOkJL/XfvdufYWSb6qDZs1Uevb0iRZa\n1YTbDV9+6Q+O7tLFE7As2pqGpFak42cNYenSpWq3bt2CfRohR2qqTO/e0fh8EgaDypo1ucUKgi5f\nrmfEiMLVE1X++COXtm0DHyNw7JjEW29F8PbbWiZl8+Ze5s/PD3qAeHY2jB9vYfVqPXPn2hgwoHLb\nxPv3Sxw6JGOxqCQnV6zcwdy5Bv77Xy0bpF07L7/8klfuJupl4fPBt98amDTJjKr6J/Jmzbz89JOt\nwtW8BdVLaqrM00+bWLNGj9crodOpJCf76N/fS9euXuLiFJYuNZKU5KNXL29AhcnOnTLjx5tJTdUW\nFB9/bOOaa4LTn1YQOhw9KjFgQDSHDmmi/dtv8yo9vtYkNmzYwMCBA0v0RoiYtDCkSROFvn29rFhh\nwOORSmzxs3PnmdtvUolZOIFgyRI9b7/tj5HZt0/P1q1y0EVanTrw+ut2Tp6U6Ny58qu8xESVxMTK\nvU/hRIbUVB0nT8rExFTNdcrIkHnwwaICDSA9XesBKURazcBiUXG7JbKzC7xWEn//LfP33wXBnAqD\nBnno1s0T8KK3bdoozJtnY8UKAwsXGirkjRbUPjwef13FyZMdXHBB+Ai0sghNX3MVE0r7y6FAVJRW\nV6wAu724+Dqz5U9EhFotpULy8uC994oHw1RVbEJlbaFVK4Xzz/eFTFZaRIT/N/H5JHJzq+69FaV4\nVwf4//buPD6q8lzg+O+ZyZ5JWGUNqyIgSxFlFUGICIqIV6GAgAJuRblyrcXdurUVi7Vu2Ou9WgpS\nFasoUriCBUWDSqmIC2sESiACYc0+ySzv/eNMNhIkJJnMmczz/Xz4MHNmMnNm5jnnPOc97/u8Vp/G\nNm0axsE1EvYNbdoYXn45n0WL8k4zSMjBRx/F8vOfJzNxoosdO4J7WGjTxnDDDcUsWpRvq0r6kRAL\ndtW0qWHkSA+zZrmZNaso5LXh7BQLEZGkqcp69fLRoYO1w3a7K2dA3bv7cDrLjtBz5xbWS9Fdv7/y\nHJxJSYbzz7fPztxOXK6KWVRxcd21dnbo4OeNN8omFU5KMtx3XyFPP13QIOu6NWTnnGMYO9bDypV5\nrFiRw7x5BVx0kadCkg/wzTdRLFgQh083N1WP4uPhmWcK+PWvC2s0G0lDpn3SItjKldFMm+Zi2bLc\nStMbeb3w5ZdOFi2KJTXVQ2qqt3RetWD7+9+juOkmF8YIzZr5Wbw4j0GD9KhRlS++cDJmTNlsw2vW\n5NR5wc3Dh4W8PGsOyDZtTJ0VDVahVVAAR444OHJEcAca1uPirAmimzVruMcFpexG+6SpKl16qYfH\nHy+osmhlVBQMGeJjyJAqhn4G2eWXe1m7NpfsbKF9e3+9TpsVbjp18tOmjZ8ff3QQHW1o3rzuD64t\nWxpatqzzl1UhlpBgtZZ26BDqNQmegweFPXscHDniICbG0LixoVUrQ/v2fp10XoWFiDgnttP1ZTtJ\nTobZs4ts13k3Lg769PExbFjdz2va0GKhVSvD/fdb9RSGD/fUaBaESNbQ4kGV2bPHwfXXuxg7NpmZ\nM11MnZrE1VcnM2hQMn/8Y1yl0j4aC6qEnWJBzyUiXKiKBaq6M3q0hwUL8ujb11ft6bHCgc9nlWzY\nu9eBMULXrj66dNEkNNJ5PNbcmpmZVutx9+4+mjWr/Lz8fKosEu3xCE89Fc/GjVH87//m0aRJPay0\nUjWkfdKUUrbj8cCHH0Zzyy2JpQNJzjnHz3vv5XLBBZqoRaoDB4SlS2OZNy8On8+Ki6VLcxk5svKo\nVa8X1q+PYvbsRA4frnzRqHNnq95fXc4tq1RNaJ80pVRY2bHDwc03J1aYrujIEQdbtzo1SYtQ6ekO\n7rgjga++qlj/Jiam6udHRUFqqpfVq3NIT3eye7eT9HQHfr817dOFF/o0QVO2p33SVETRWAgPWVmO\nCglaicaN6/agqvEQHo4dE+65p3KCNmKEh549f7rwafv2htRUL7fdVsT8+YX84Q+FXH+9p9IsKxoL\nqoSdYkFb0pRSIbF/v5CV5SA+3tCpk79Cf7qUFD+NG/vLVcmHG24ook8fLcUSib791klaWsUErV8/\nD/PmFVTZH02p+rJ7t3DggJMOHfx07Fj3rfwRkaQNGTIk1KugbEJjwR4+/jiKGTMSyclxIGKYMqWY\nuXMLadfOainr2tXPihW5fPJJNIWFws9+5qVvX2+dH5A1HsJDcXHZbafT8NBDhUyYUFynU5NpLISe\nz2cl5H/7WwxjxhRzySWhOSk7m1hYvDiWF1+Mp3lzP88/X8Dw4R7iKk+aU2MRkaQppexj714H06e7\nSueCNUZYsiSW887zcdddRaXP69HDT48eRad7GRVBLrrIy/vv5+LzQdu2Vu1Eu0zNpupGdjasXBnD\n3Xcn4PEIF1/sBezfcl6SkB096mDKlERefTWfsWM9dRaf2idNRRQ7xEJ6uoOvv3Zy7Fhk1j9xuyEv\nr/LyNWui6306IjvEgzqz5s1h6FAvw4d7Of/84CRoGguh43bDW2/FMnt2yWhuU6nPYH06m1i49NLy\nfSKF225LZPPmyqVfaioikjSl7CIjQ7jiiiRSU5O55hoXGzY48f50v+cGp317P9OmVW4hmzmzCGfd\n7duUqhP79wsbNjj5/nsHhYWhXpuGad26aB54oKxT6tVXe047X3NGhvDVV06OH6+vtftp3bt7ueqq\nsuvxfr/wi18kkJlZNyfhWidNqWo4cEDYtctJbKzh3HP9NR66/8MPDgYMSMYYawN2Og2LFuUxerQ3\noubEPHRI2LAhirffjiE52TB+vIdBgzwkJ5/5b5WqL8ePw/jxLrZsiUbEMHFiMXff7Q56UeVjx2Dj\nxmi+/trJkCFeBg70Ehsb1LcMme+/dzB6dDIFBdY+MS7O8OGHOXTt6mfduihiY61W1Kgo2LLFyaRJ\nLrKyHDz1VAG3326P7hDp6Q6uvdbFwYNlZ5lVzYl9Oj9VJy2CDgtK1czOnQ7GjXMxfnwSY8cmM2mS\niz17anaW1Latn9GjPaX3fT5hxgwXX30VWU1IrVoZrr/ew1tv5fM//1PAqFGaoCn7KSgQdu2yum4b\nI7z1VizXXeciPT14h063G157LY6pU1384Q/xXHedi40bG2b38WPHhF/9KqE0QQN44YV8evXys3Wr\nkylTXEya5GLXLmvmkWnTEsnKsr77P/85lpMnQ7XmFXXp4ufNN/No1qwsea+rGImIJE37GqgSNYmF\njz+OZu/esp3kt99GsXBhzYbvxMfDr37lJi6urCWuZJqa/PwavWRIud1Wq1hN+9eJhHZqMt03qBJr\n16axe7d1Ke3zz53s3Su0amWYMqVia01mppPf/Cauyn6VdSE93cG8eWX7F2OElSsb5iiJbduc/POf\nZZ/tl78sZNQoDyKwYUMUIHi9Qnq6k7Q0J5mZZSez0dGGqCDlrjXZL/Tu7efDD3OZO7eQLl18dOtW\nN62tEZGknY1t2xzs3Klfiypz8GDlLOKzz6IoKKjZ6/Xp42PJkjxiYsoStU8+iSIzM7zibutWBzNm\nJDJkSDIjRiSxYEFspUmrlbK7/fuFVauieeqpOAYMaMTIkclcfXUy06e7KCiA2293k5JSsX/UihUx\n7NsXnO316FEHUHE7qu8BNfXB54M33iibLmL6dDe3315EUhIUFMA775Q99sUXUaxdWzFRHTbMi8tV\nb6tbLeee6+e++9ysWZPD4MF109k4vI4KNVTdmif79wsTJ7p48MGEoJ0lNXQnT1pT+hw6ZM+DdU1q\nIV11lQeRin3QUlM9JCTUbB1EYPhwLytW5DJwoHXps1kzQ3x8+PQPPXRIuOEGF6tXx3D8uIP9+508\n8kgC99yTaJsOvdWhtbEi16FDwuuvx3D55clMnepi8+aR+P3WfsvhMDzySCHJydC5s+Gdd/JITS3r\nHB4TQ9BKgCQnV94PlO8i0VC43bB9u5OEBMPLL+fx618Xcs451mfPzxeOHStLT06cEI4fL5+uGMaN\nKyZYarNfcDigUSPqbBBUw7zQXUPbtlnNqT/+6ODgQUfQO4c2JB4PfP21kyeeiOfzz6O5555CHnrI\nHerVqhN9+vh4/fU8Hn00gcxMB5MmFTFtWu12ECLQr5+PN9/M48ABBwkJlBZyDQdut3DkSOVzvLVr\nozlwwEHTprrtKPtKT3dwzz0JlWYxAGje3M/ChXn071/WfHX++X5eey2f7dvdHD7soF07P+edF5wY\n79LFx6xZhfzpT/GA4a673PTr1/CGgCcmwksv5RMfD507+yt0e/B6qXSlok0bH2D9Xg895KZ37wbY\nvFiFiEjS0tLSzpgZe73w/vtW86oxVh+bLl3qY+3CX3Ex/N//RXPzzYmlZ6Jum+Zn1YmFU8XGwlVX\neRk4MIeCAqF5c1NnFaUbNYJGjcIvoWnb1s+99xbyxBMJpyz31fn8msFUk3hQ4e3gQWHatMTSAQEl\nkpPX8eijAxg2zEPnzpVjODkZBgzwEewCq8nJMHeum2uv9RATY40mt9tlvbrSs2fV+z6nkwqjWVNS\n/Fx3XTFut4MxY4oZMaJuq/qfqqb7hWPHYOdOJ3v3OjEG2rXz07Nn7WZKiYgkrTqOHxfWry87q8rL\ns+fluurIzBT+9a8ovvwyir59vQwd6qVly+AdONevj2LmzMTSshIAV17Z8M78mjaFpk1Dl4Dk5FgT\njxcWQpMmhlatgtdx9kyio2HGjCJ69fKxcGEsP/7ooF8/LzfdVET79uGTpKnIk50txMZaJ0dt2hj6\n9fMwbpyHEycKuO664F1COxuNG1st7ZHK5TJ07Ojj8GGrtb5LFz89evj5y1/sO7pq3z7hnnsSWbeu\nYuvs9OluHnussMaj1yMiSatORpyfD4cPlyUZ4VpUMyNDuPXWRDZ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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", " @pm.deterministic\n", " def mass_large(u = exp_mass_large):\n", " return np.log(u)\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": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def euclidean_distance(x, y):\n", " return np.sqrt(((x - y) ** 2).sum(axis=1))\n", "\n", "\n", "def f_distance(gxy_pos, halo_pos, c):\n", " # foo_position should be a 2-d numpy array\n", " return np.maximum(euclidean_distance(gxy_pos, halo_pos), c)[:, None]\n", "\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 * np.arctan(delta[:, 1] / delta[:, 0]))[:, None]\n", " return np.concatenate([-np.cos(t), -np.sin(t)], axis=1)\n", "\n", "import pymc as pm\n", "\n", "# set the size of the halo's mass\n", "mass_large = pm.Uniform(\"mass_large\", 40, 180, trace=False)\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, size=(1, 2))\n", "\n", "\n", "@pm.deterministic\n", "def mean(mass=mass_large, h_pos=halo_position, glx_pos=data[:, :2]):\n", " return mass / f_distance(glx_pos, h_pos, 240) *\\\n", " tangential_distance(glx_pos, h_pos)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 200000 of 200000 complete in 141.5 sec" ] } ], "source": [ "ellpty = pm.Normal(\"ellipcity\", mean, 1. / 0.05, observed=True,\n", " value=data[:, 2:])\n", "mcmc = pm.MCMC([ellpty, mean, halo_position, mass_large])\n", "map_ = pm.MAP([ellpty, mean, halo_position, mass_large])\n", "map_.fit()\n", "mcmc.sample(200000, 140000, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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0BgbP2dnC++87ymxda9JEcc892fzrX9lAYKdDh7RVqKx06WLy9tsZ1K9vfUCb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EsvWdm7N3/Tee3aCrfd5qNjxwD16ytlOsFm+3aZTp2SAAmDQTBypI977vEVuGPLn3/KPPxwAocO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\npDh11o4DjaWUWXmuWYH9UspaZTS+UlHS3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GAZgBCiBpB9wWdFIBYL53V1mUzQrZuPBQts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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = mcmc.trace(\"halo_position\")[:].reshape(20000, 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": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.00000000e+00 1.40861000e+03 1.68586000e+03 1.40861000e+03\n", " 1.68586000e+03 0.00000000e+00 0.00000000e+00 0.00000000e+00\n", " 0.00000000e+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": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True halo location: 1408.61 1685.86\n" ] }, { "data": { "image/png": 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0BgbP2dnC++87ymxda9JEcc892fzrX9lAYKdDh7RVqKx06WLy9tsZ1K9vfUCb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EsvWdm7N3/Tee3aCrfd5qNjxwD16ytlOsFm+3aZTp2SAAmDQTBypI977vEVuGPLn3/KPPxwAocO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\npDh11o4DjaWUWXmuWYH9UspaZTS+UlHS3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GAZgBCiBpB9wWdFIBYL53V1mUzQrZuPBQts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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": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 2324.2292868 1123.41563759]]\n" ] } ], "source": [ "mean_posterior = t.mean(axis=0).reshape(1, 2)\n", "print(mean_posterior)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": 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 42.3177214405\n", "Your average angular vector is 1.0\n", "Your score for the training data is 1.04231772144\n", "\n", "\n", "Using a random location: [[2712 364]]\n", "Your average distance in pixels you are away from the true halo is 820.025908676\n", "Your average angular vector is 1.0\n", "Your score for the training data is 1.82002590868\n" ] }, { "data": { "text/plain": [ "1.8200259086760613" ] }, "execution_count": 17, "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", "print(\"\\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": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymc.Matplot import plot as mcplot\n", "\n", "\n", "def halo_posteriors(n_halos_in_sky, galaxy_data,\n", " samples=5e5, burn_in=34e4, thin=4):\n", " # set the size of the halo's mass\n", " \"\"\"\n", " exp_mass_large = pm.Uniform(\"exp_mass_large\", 40, 180)\n", " @pm.deterministic\n", " def mass_large(exp_mass_large = exp_mass_large):\n", " return np.log(exp_mass_large)\n", " \"\"\"\n", "\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,\n", " size=(n_halos_in_sky, 2)) # notice this size\n", "\n", " fdist_constants = np.array([240, 70, 70])\n", "\n", " @pm.deterministic\n", " def mean(mass=masses, h_pos=halo_positions, glx_pos=data[:, :2],\n", " n_halos_in_sky=n_halos_in_sky):\n", "\n", " _sum = 0\n", " for i in range(n_halos_in_sky):\n", " _sum += mass[i] / f_distance(glx_pos, h_pos[i, :], fdist_constants[i]) *\\\n", " tangential_distance(glx_pos, h_pos[i, :])\n", "\n", " return _sum\n", "\n", " ellpty = pm.Normal(\"ellipcity\", mean, 1. / 0.05, observed=True,\n", " value=data[:, 2:])\n", "\n", " map_ = pm.MAP([ellpty, mean, halo_positions, mass_large])\n", " map_.fit(method=\"fmin_powell\")\n", "\n", " mcmc = pm.MCMC([ellpty, mean, halo_positions, mass_large])\n", " mcmc.sample(samples, burn_in, thin)\n", " return mcmc.trace(\"halo_positions\")[:]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": 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": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/maxwell/anaconda3/envs/bayes/lib/python3.5/site-packages/pymc/Node.py:403: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " self.__name__ = input['__name__']\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1050000 of 1050000 complete in 948.7 sec" ] } ], "source": [ "# there are 3 halos in this file.\n", "samples = 10.5e5\n", "traces = halo_posteriors(3, data, samples=samples,\n", " burn_in=9.5e5,\n", " thin=10)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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m3HST4bTTlrBu3cwH/AEHON773i5PfGJgzRpht92U/feffW2aJCFpNklazWmG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\nSF5/dQWm6cH0eNH1hIhvomh9V2nidYtKl1JqIbAw8f+dw