{ "metadata": { "name": "LossFunctions" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "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 loses*. 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} ) = -\\hat{\\theta}\\log( \\theta ) - (1-\\hat{ \\theta})\\log( 1 - \\theta ), \\; \\; \\hat{\\theta} \\in {0,1}, \\; \\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 who's 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 the 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 not considering 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": [ "\n", "##### 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 snowblower 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", "collapsed": false, "input": [ "\n", "import scipy.stats as stats\n", "\n", "figsize( 12.5, 9 )\n", "\n", "norm_pdf = stats.norm.pdf\n", "\n", "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 = Rectangle((0, 0), 1, 1, fc=sp1.get_facecolor()[0])\n", "legend([p1], [sp1.get_label()])\n", "\n", "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 = Rectangle((0, 0), 1, 1, fc=sp2.get_facecolor()[0])\n", "legend([p2], [sp2.get_label()])\n", "\n", "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 = Rectangle((0, 0), 1, 1, fc=sp3.get_facecolor()[0])\n", "legend([p3], [sp3.get_label()])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vHEdNahj0OrKsRrJtJpwWIybD+bn3pdPpsJkN2MwG8kldUMTUJP5oHF9EpTUQpdUfxXas\nVyKqJvi4I0CWxcjM0hxmeHJkGNF5lpWdM6jLf2Zl55x13X9cK//4v2OxGMuWLWP//v0UFRVx7bXX\n8sMf/hBIrbDz4osvUlRUxOTJk3nvvfd46aWX+PrXv8748ePJzc3lxz/+cXoi7unW4z/xudLSUt58\n802++93v8sMf/pCcnBx+9KMfcckll/Czn/2Mhx9+mMcee4zrrruOe++9l/b29lPaezrLli3jvvvu\n40c/+hEPP/ww3/72t3nppZe477778Hq9zJw5kz/+8Y/pO/T/WP5b3/oWb775JjNmzKCgoIDHHnuM\n9evXn/G9+0dz5syhu7ubCRMmkJWVxSuvvEJubu5J9c/ki1/8It3d3Tz00EN89atfZeLEiaxdu5ay\nsjJee+01vvOd7zB37lwUReHCCy/kscceA+Ctt97iO9/5DqqqcsUVV/DKK69gsVjOeJ7zRacNEJ22\nbdvGt771LVRVZenSpSdNMDlu2bJlvP7669jtdlatWpXeIe9MdQOBAIsWLeLIkSNUVFSwdu1anE4n\nACtWrOC5557DaDSyYsUKrrrqKiC1zFNbW1u6O+d//ud/KCgoOPnFnMUatEIIIUaGpKZxsCNI7dEe\nmn0REkktvRpQJJ5Ar9eRbTORazPhshqH5aTdeCJJXyROT1ghFEug06UmHBc4zWRZTBgNOqYVZzG3\nPI8C59BfJIxGcq0gVq1axfPPP8+f/vSnoW7KaZ3pd3Swfnf7vf2QSCS45557ePvttykpKeGyyy7j\nuuuuY+rUqekymzdvZs+ePezdu5edO3eyZMkSduzY0W/dRx99lCuuuIJXX32VJ554gscee4zHH3+c\nffv2sXLlSnbt2oXX6+W6666jrq4une5++9vfnjS5RAghxOiX1DQ+avXzl/puukMKMTVJZyBGT1gh\nkdRwmA2U5trItZsx6IdfADiRyaCnwGmhwGkhGk/QE04tb3q4M47VlPqeoib5oKWPKUUuPjMxn3HZ\n1oEPLIQQZ6nfMFBbW0tlZSXl5eVAap3ajRs3nhQGNm3axOLFi4FUl4vP56OtrY36+voz1t20aRNb\nt24FYPHixVRXV/P444+zceNGFi5ciMlkory8nMrKSnbu3MncuXOBc7OTnBBCiJEhqWl82OLnz0e6\n6I3EiSgJ2gNRfOE46CDXbqbQaR6xk3CtJgPjs20UZ1nxReJ0BWI090Zo64tS6LSgJjUOdASoLHBy\nzeQC3C4JBUKcCwMNIRpr+v0E9Xq9J+125/F42Llz54BlvF4vLS0tZ6zb3t6eXv7K7Xanx5e1tLSk\nL/yP1zm+zBOkgoNOp+NLX/oSDzzwwGnbvHz58vS/q6urqa6u7u8lCiGEGGY0TeNQZ4ithzrpCMYI\nKwna/FH6InEMeh1FWRYKnZbzNg9gsOl1OvLsZvLsZkIxlfZAjFZ/lI5gjAKnhURS43BXkGnFWVxd\nUUCe49RVSoQQmVu8eHH6RvZwtmXLFrZs2TLo5+k3DGSamjK5Y69p2mmPl2k6+81vfsP48eM5evQo\nt99+OxMmTDhpq+zjTgwDQgghRpY2f5S3D3TQ6AsTiydp9UfoDccx6nWMy7ZS4DRjHOJl+AaTw2Jk\nksWY7gVpD0TpCsZwu1Kh4EB7gFmlOVxdUYDVdOblIIUQI98/3tR+5JFHBuU8/YaBkpKS9JbTkNp4\n4sR1aU9Xprm5GY/HQzweP+X542vFut1u2traKC4uprW1laKiojMe63id4xs4TJgwgbvuuova2trT\nhgEhhBAjT0hR2VrXxR6vj3giSas/SndIQafTUZxlpchlGfbzAc4lm9lAeb4DdzxBa1+Ulr4onUGF\ncVlW3j3ay0etfj5bWcgMT/awnCgthBg5+r29cumll1JXV0dDQwOKorB+/XpqampOKlNTU8OaNWsA\n2LFjBzk5Objd7n7r1tTUsHr1agBWr17NvHnz0s+vW7cORVGor6+nrq6Oyy+/nEQikV4/1+/384c/\n/IHp06ef23dCCCHEeZfUNN5r7OX/236EvzX7aD+2cVh3SKHAYWFasYtx2dYxFQROZDMZmFTgYHKR\nE7NRT2NvmAMdAToCMd7c38aqHUdp6YsMdTOFECNYvz0DRqORlStXMn/+/PTyoFOnTuXZZ58F4N57\n7+Xmm29m27ZtTJ8+HYfDwQsvvNBvXYAHH3yQRYsWUVVVlV5aFGDatGncfffdzJ49G6PRyKpVq9Dp\ndESjUW688Ubi8ThZWVl8/vOfP+020EIIIUaOdn+UN/a10eKP4o+qeH1hovEkWTYTJdlWGQZzAqfF\nyORCB75InJa+KHWdQXLtJuJqktU7jzKrNJdrKmXoUCZyc3Nl8qgY1k7c7+B8GHCfgZFE1g4WQojh\nL55Isu1QF+8e7SWWSOD1peYFWEx6PNk2smymoW7isJbUNDoCMdr9UXQ6HeOyrBQ4LbgsRm6Y5mZK\nkWuomyiEGASDdZ0rYUAIIcR509Qb5vWP2ugJKXSFFFr6ImiahvvYvAAZ/565mJqguTeCP6piNxso\ny7VjMxuYVpzF9RcWjdglV4UQpydhIAMSBoQQYniKJ5JsqevkvcZeYmqSxp4wgZiK02qkNMcmw1vO\nkqZp9EXiNPsiqEkNt8tKcZYFh8XIjVOLudAtvQRCjBYSBjIgYUAIIYaf1r4omz5soTuo0BWK0dIX\nBaAkx0ae3STjt88BNZnE64vSE1KwmQyU5dmxmw1MH5/N9RcWYTFK2BJipJMwkAEJA0IIMXwkNY0d\nDT386VAX0XiCo71hAlGVLKuR0lw7ZuPo3S9gqPgjcRp9EdREkmKXFXeWlVy7ic9fPI6yXPtQN08I\n8SlIGMiAhAEhhBge/NE4mz5opbE3TG9Yobk3QhLwZFvJc5ilN2AQqckkzb4ovSEFh9nIhDw7VpOe\nKyflc1VFgczLEGKEkjCQAQkDQggx9Oo6grz2USvBmEpzb4SesILDYmBCnl2Gq5xHvWGFpt7UHgSe\nHBt5DjNlOXZqqsaRZZUVm4QYaSQMZEDCgBBCDB01mWRLXRe1R3uIKAnqu0MoiWR6Uqv0Bpx/iprk\naG+YYFQlz27Gk2vDaTHy+YvGMbnIOdTNE0J8AhIGMiBhQAghhkZfJM4f9rbQ0hehMxDD2xfBaNBT\nnmfHaZElLoeSpmm0B2K0+aOYDXrK8x3YzQY+U57PNZNl2JAQI4WEgQxIGBBCiPPvcFeQP37QSiCm\n0tgTxheJk20zUZZrw2iQScLDRTCm0tATJpFIUpJjo8BpoSzXzryq8RLYhBgBJAxkQMKAEEKcP5qm\n8ecj3fzpcBfhE4YFjc+2UeiUScLDkZpIcrQnjP/YsKHSXBtZVhPzLhkvqw0JMcxJGMiAhAEhhDg/\novEEf/ywlbrOID2h1ERVg15Heb4MCxrujg8bavVHsRkNTDw2bOi6KUXMKs2RECfEMCVhIAMSBoQQ\nYvB1hWL8freXrqCC1xehMxjDaTVSnmfHJMOCRoxANE5DTxhNgwl5drJtJqrGZ3PjVLcM7xJiGJIw\nkAEJA0IIMbjqOoJs+qCFkKJS3x0mGFMpclkYn22VO8ojkKImqe8OEVYSjMuyUpxlZXy2lX+eUYJL\nlh8VYliRMJABCQNCCDE4NE3jrw09bK3rJKQkqO8KoWoaZbk2cu3moW6e+BSSmkZTb4SekEK2zZTq\nJbCa+OLMEsZn24a6eUKIYyQMZEDCgBBCnHtqIsnmfW182OqnN6zQ2BPGaNCnx5qLkU/TNLpCqWFf\nVqOBSQWpn+3N04q5eHz2UDdPCMHgXecOOChw27ZtzJo1i6qqKp555pnTllm2bBlVVVXMnTuXAwcO\nDFg3EAgwb948qqqqmD9/PsFgMP29FStWUFVVxaxZs9i+ffsp56qpqWH69Omf6EUKIYQ4O8GYyovv\nNfFhi5+WvigN3WHsZiNTipwSBEYRnU5HodNCRYGDeCLJx+0BfOE4mz5s5f8OdsqNNiFGsX7DQCKR\n4J577mHDhg3s2rWL559/nv37959UZvPmzezZs4e9e/fy9NNPs2TJkgHrPvroo1xxxRXs3buXuXPn\n8thjjwGwb98+Vq5cya5du9iwYQNLliwhmUymz7VhwwZcLpeMSxVCiPOgPRBl1c6jNPeGOdIdot0f\nJd9ppqLQIRNMRymX1cQFbidGg55DXUG6ggp/bejmD3taiCeSAx9ACDHi9PtpXltbS2VlJeXl5ZhM\nJhYsWMDGjRtPKrNp0yYWL14MwJw5c/D5fLS1tfVb98Q6ixcv5tVXXwVg48aNLFy4EJPJRHl5OZWV\nldTW1gIQDAZ56qmneOCBB+QOhRBCDLK6jiAv1jbSHYxxsDOIPxrHk2ujNMcmO9aOchajgQuKnLis\nJpp6wzT3RjjQHuA37zYSjKlD3TwhxDnWbxjwer2UlpamH3s8Hrxeb0ZlWlpazli3vb0dt9sNgNvt\npr29HYCWlhY8Hs9JdVpaWgB48MEH+e53v4vdLpuiCCHEYHr3aA+/3+2lNxLn444gippkUoGDQqdF\nembHCINex6R8O4UuC53BGEe6QzT7Iqza0UB7IDrUzRNCnEP97gyT6Yd+JnfqNU077fF0Ol2/59E0\njd27d3PkyBGeeuopGhoa+j3P8uXL0/+urq6murp6wLYJIYRIrSrzvx938G5jL75wnKM9YYwGHZML\nndhMMj9grNHpdHhybFiNepp9EQ52BqnId/BibSPzLhlPRYFzqJsoxKi2ZcsWtmzZMujn6TcMlJSU\n0NTUlH7c1NR00p3705Vpbm7G4/EQj8dPeb6kpARI9Qa0tbVRXFxMa2srRUVF/R5rx44dvPfee0yc\nOBFVVeno6ODaa6/lnXfeOaXNJ4YBIYQQmVHUJBs/aKGuM0hHIEaLL4LdktqdVjYSG9sKnBYsRj31\n3WEOdgSZVODgd+97uWGam5menKFunhCj1j/e1H7kkUcG5Tz9fsJfeuml1NXV0dDQgKIorF+/npqa\nmpPK1NTUsGbNGgB27NhBTk4Obre737o1NTWsXr0agNWrVzNv3rz08+vWrUNRFOrr66mrq+Pyyy/n\n61//Ol6vl/r6erZv384FF1xw2iAghBDikwvGVH77XiMHO4I090bw+iJk201UFjolCAggNbF4cpET\ndFDXGcQXUXhjX5usNCTEKNBvz4DRaGTlypXMnz8fVVVZunQpU6dO5dlnnwXg3nvv5eabb2bbtm1M\nnz4dh8PBCy+80G9dSI3/X7RoEVVVVVRUVLB27VoApk2bxt13383s2bMxGo2sWrXqlCFEZxpuJIQQ\n4pPrDimsf7+JnpBCQ0+YvkhcdhQWp2UzpSYWH+kKcaQrhCfXzl8buvFH49xycTFGvQRHIUYi2XRM\nCCHGqGZfmN/9zUsgGudIV4hwPIEnx0aB0zLUTRPDWCKpcfRYcHS7rIzPtjIhz84/zyjBKnNLhBg0\nsgNxBiQMCCFEZg60B9j0QQuhWILDXUHiSY3yPDvZNtNQN02MAJqm0eyL0BVUyLObKcuzUeS08qXZ\nHrKs8jskxGCQMJABCQNCCDGw9xp7+Z8D7QRjKke6QqCDSQUOHOZ+R44KcRJN01KTzfuiuKxGJuY7\nyLWZ+NLsUgqld0mIc07CQAYkDAghxJlpmsaWui7+2tBNXyROQ3cYk1FHRYEDi1GGd4iz0xNWaOwJ\nYzUZqChw4LKY+OLMEspyZV8gIc4lCQMZkDAghBCnl0hqbN7XxgctfXQFFZp7w9jNBiYVODDKikHi\nUwpE49R3hzHoU+HSaTFSM308F7pdQ900IUYNCQMZkDAghBCnUtQkG/Z4OdIdorUvSps/SrbNxIQ8\nOwa9rBgkzo2wkuBIVxBNSw07c1qM3DDVzazS3KFumhCjgoSBDEgYEEKIk4UUld+934y3L0pTb5ju\nkEK+w0xprk2WDhXnXExNpiakqxrl+akJ6VdNyufqigL5fRPiU5IwkAEJA0II8Xe+sMK695vpDsao\nP7YUZHGWleIsi1yYiUGjJpKppWqVBKW5dvKdZmaU5HDjNDd6+b0T4qxJGMiAhAEhhEhpD0RZv6uZ\nvkicw90hQopKqewhIM6TRFKjoTuEP6oyLstKcbaVyYVO5leNlzkqQpwlCQMZkDAghBDQ2Bvmd39r\nJhhVOdwu22/1AAAgAElEQVQVIqomKM+zk2M3D3XTxBiiaRqNvRF6QgqFTgueHBuluTZun+mRzcmE\nOAsSBjIgYUAIMdZ93BFg494WgrFUEEgkNSYWOHBZZA8Bcf5pmkZrX5T2QIxce2rSuttl5UuzPLhk\nczIhPhEJAxmQMCCEGMt2N/t4c187gVicI10hdDqoKHBiM8tdWDG0OgIxvL7I3zcns5tZOLuUfIf0\nVgmRKQkDGZAwIIQYizRN4y/13Ww91IU/klrv3WTQUVEom4mJ4eP45mS2Y5uTZVlN3DHLw/hs21A3\nTYgRQcJABiQMCCHGGk3TePvjDt5t7KUnpNDYm7rYmlTgwCQTNcUw4z+2OZlJr6Oy0InTYuQLl5Qw\nqcAx1E0TYtiTMJABCQNCiLFETSZ57cM29rX5TxmGIZuJieEqFFOPDWP7+27Fn794HBeNyxrqpgkx\nrEkYyICEASHEWBFTE2zY00J9V4iWvkh6gmZZnl3WchfDXjSeSE9wn5TvwGk18v9MKeKyCXlD3TQh\nhi0JAxmQMCCEGAtO3FW4sTdMT0ihwGnGkyO7CouRQ1GTHO4KoagJJuQ5yLGbuHJiPp+tlN2KhTid\nwbrOHXBA6bZt25g1axZVVVU888wzpy2zbNkyqqqqmDt3LgcOHBiwbiAQYN68eVRVVTF//nyCwWD6\neytWrKCqqopZs2axffv29PM33ngjM2bMYPbs2SxbtuysXqwQQox0vkictbWNeH0R6rtD9IQUxmVb\nJQiIEcds1DO50IHNbKShO0R3UOHP9d28sa+dpNzYE+K86TcMJBIJ7rnnHjZs2MCuXbt4/vnn2b9/\n/0llNm/ezJ49e9i7dy9PP/00S5YsGbDuo48+yhVXXMHevXuZO3cujz32GAD79u1j5cqV7Nq1iw0b\nNrBkyZJ0AnrllVfYvXs3tbW17Nq1i3feeedcvxdCCDGsdQRirK09SmcwxqGuEP5onNJcG8VZVgkC\nYkQyGvRUFjhw2Uw09oZp64uy2+tjwx4vaiI51M0TYkzoNwzU1tZSWVlJeXk5JpOJBQsWsHHjxpPK\nbNq0icWLFwMwZ84cfD4fbW1t/dY9sc7ixYt59dVXAdi4cSMLFy7EZDJRXl5OZWUlO3fuBMDpdAIQ\niURQFAWLxXIO3wYhhBjeGnvDrH33KD0hhbqOICFFpTzPToFTPgvFyKbX65iUbyfPYabVH6W5N8LB\n9iAv7WoiGk8MdfOEGPX63ZLS6/VSWlqafuzxeNIX5/2V8Xq9tLS0nLFue3s7brcbALfbTXt7OwAt\nLS3MnTv3lGMdd8MNN7B161b+/d//nSuvvPK0bV6+fHn639XV1VRXV/f3EoUQYtj7uD3Axg9O3lW4\notApuwqLUUOn01GWa8Oo19ERiKEmk2hovPhuo+xWLMasLVu2sGXLlkE/T79/STLtds5kMoOmaac9\nnk6n6/c8J37vrbfeor29nTvuuIONGzdy2223nVL+xDAghBAj3ftNPv57/8m7Ck8ulF2Fxeij0+ko\nybFhMujw+qKoyRBJDVbXNrJglkd6wcSY8483tR955JFBOU+/w4RKSkpoampKP25qasLj8fRbprm5\nGY/Hc9rnS0pKgFRvQFtbGwCtra0UFRWd8VjH6xzndru5/fbb+b//+79P9EKFEGIk0TSNbYe6eHN/\nG76IwqHOEAa9jslFEgTE6FbksjIhz04wpnKoM0h3KMbad1OT5oUQ516/YeDSSy+lrq6OhoYGFEVh\n/fr11NTUnFSmpqaGNWvWALBjxw5ycnJwu9391q2pqWH16tUArF69mnnz5qWfX7duHYqiUF9fT11d\nHZdffjmhUIjW1lYgtRLRq6++yvTp08/tOyGEEMNEUtN4c18724900RNSONIdwmrSM7nIicUoQUCM\nfnkOM5MKHETVJHUdQXzhOL99r4m6juDAlYUQn0i/w4SMRiMrV65k/vz5qKrK0qVLmTp1Ks8++ywA\n9957LzfffDPbtm1j+vTpOBwOXnjhhX7rAjz44IMsWrSIqqoqKioqWLt2LQDTpk3j7rvvZvbs2RiN\nRlatWoVOpyMUCnHbbbcRi8XIzc3l1ltv5e677x7M90UIIYZEPJHk1b0t1HUGafNHae2LkmU1Ui67\nCosxJstqorLQwZGuEAc7A1QUOPn9bi83TnMzw5Mz1M0TYtSQTceEEGKYiCgJfre7mebeCM2+CJ3B\nGLkOM2W5NtlVWIxZsXiCQ8cmzpfn28mymvhsRQFXTsqXJXXFmCI7EGdAwoAQYqTyReKsf7+JrkCM\nhp4wvkicIpeF8dmyh4AQ8USSI10hIvEEZbmpZUhnluRwwzS3BGUxZkgYyICEASHESNTmj/Ly+830\nRVMrBgUVFU+2jUKXrJ4ixHGJpEZ9d4hAVGVctpXiLCuVBU7mVY3HbOx3CqQQo4KEgQxIGBBCjDSH\nO4P8Ye/f9xCIqQkm5NnJtZuHumlCDDtJTaOxN0JvSKHAacaTY6ck28oXZ3pwyr4bYpSTMJABCQNC\niJFkj9fHGx+1E1JSQSCpaUwscMhmYkL0Q9M0Wv1R2v0xsm0myvPs5DvM3DGrlHyHhGgxekkYyICE\nASHESKBpGn863MX2I934o3EausMY9DoqChxYTbJ0qBCZ6ArGaPZFsJuMTCqw47Ka+OKMEkpz7UPd\nNCEGhYSBDEgYEEIMd2oyyeaP2viw1U93SKGpN4zVZGBSgQOzQcY9C/FJ9EXiNPSEMel1VBQ4cVgM\nfP7icUwrzhrqpglxzkkYyICEASHEcBaNJ3hlt5fGnjAt/ijtftlDQIhPK6So1HeF0DSYWODAaTHy\nucmFzC3Pk5W4xKgiYSADEgaEEMNVb1jh5b810xWMcbQnQm9YId9ppjTHJhcsQnxKMTXBka4Qipqk\n7NgE/BklOdww1S1BW4waEgYyIGFACDEcNfWG+f1uL4GoypHuEMGYyvhsK0UuiwQBIc4RNZmkvitM\nMKYyLstKcbaViXkO5l8yXubiiFFBwkAGJAwIIYabj1r9vPZhK2ElweGuIPHE3+9cCiHOraSm0dQb\noSekkHds9+4Cp4UvzfSQI//PiRFOwkAGJAwIIYaL1IpB3Ww/0kUwqlLfHQIdTMp34JClQ4UYNJqm\n0R6I0doXxWkxMinfgctq5AszSiiTlYbECCZhIAMSBoQQw0E8keS1D1vZ3x5IrxhkMRqYVGDHYpTh\nCkKcD71hhcaeMCaDnooCJ3azgZumFVNVkj3UTRPirEgYyICEASHEUAtE47yy20trXxRvX4SOQAyX\n1Uh5vh2jXpYOFeJ8CsVSvXJJDSYe6yGYW55H9eRC9DJfR4wwEgYyIGFACDGUvL4Iv9/tpS8a52h3\nmL5onEKXhZJsq0wUFmKIxNQk9V0homoCT05qDkFlgZOa6eNkYrEYUSQMZEDCgBBiqOz19vHGvjYi\n8dQShydeeAghhlYiqXG0J0xfJE6B04wnx06B08wXZ3jId8jEYjEySBjIgIQBIcT5ltQ0/vfjDt5t\n7CUQVWnoDgFQnm/HZTUNceuEEMdpmkarP0q7P4bTYmRivh2Hxci8qvFUFDiHunlCDGiwrnMzGsC6\nbds2Zs2aRVVVFc8888xpyyxbtoyqqirmzp3LgQMHBqwbCASYN28eVVVVzJ8/n2AwmP7eihUrqKqq\nYtasWWzfvh2ASCTCLbfcwtSpU7nyyit58sknz+oFCyHEuRJWVNbtauLdxl46AzEOdwYxGfRc4HZK\nEBBimNHpdIzPtlGebyesqHzcEcQXjvPy+838pb5bbiaKMWvAnoFEIsGUKVN4++23KSkp4bLLLuOl\nl15i6tSp6TKbN2/mF7/4BZs3b2bnzp1885vfZMeOHf3Wvf/++ykoKOD+++/niSeeoLe3l8cff5x9\n+/bx5S9/mXfffRev18t1111HXV0d0WiU2tparrnmGoLBIFdeeSVPPPEEN954499fjPQMCCHOkzZ/\nlFd2e+kLKzT5InSHFHJsJsry7LLjqRDDXFhROdIdJpHQKMuzkWs3c2GRi89fPA6zUSb6i+FpyHoG\namtrqayspLy8HJPJxIIFC9i4ceNJZTZt2sTixYsBmDNnDj6fj7a2tn7rnlhn8eLFvPrqqwBs3LiR\nhQsXYjKZKC8vp7Kykp07d2Kz2bjmmmsAcDqdfPazn8Xr9Z67d0IIITL0QUsfa2qP0hWMcbAzSHdI\noTjbSnm+BAEhRgK72ciUotRyow3dYby+CPvbA6zeeZTukDLUzRPivBpw5xuv10tpaWn6scfjYefO\nnQOW8Xq9tLS0nLFue3s7brcbALfbTXt7OwAtLS3MnTv3lGOdqLu7m9dff53777//lPYuX748/e/q\n6mqqq6sHeolCCJERNZnk7QMdvN/sS88P0IBJBQ6ybTIsSIiRxGTQU1nowNsXpSMQIxJPkEgmWbWj\ngVsuHseFbtdQN1GMcVu2bGHLli2Dfp4Bw0Cmy+Fl0m2hadppj6fT6fo9z4nfU1WVu+66i//4j/84\nKWgcd2IYEEKIc8UXifPqHi8tfVHaA1Fa+6JYTAYm5ttleUIhRiidTocnx4bNZKC5N8zH7UHK8+1s\n2ONlzoQ8PneB7Ecghs4/3tR+5JFHBuU8A4aBkpISmpqa0o+bmprweDz9lmlubsbj8RCPx095vqSk\nBEj1BrS1tVFcXExraytFRUVnPNbxOgD/8i//wpQpU7jvvvs+6WsVQoizcrgzyKYPWwnG1PTyhLl2\nE6W5MixIiNEg32HGZjLQ0B2irjNISY6NnUd7aOmLcFvVeLJkQQAxig04Z+DSSy+lrq6OhoYGFEVh\n/fr11NTUnFSmpqaGNWvWALBjxw5ycnJwu9391q2pqWH16tUArF69mnnz5qWfX7duHYqiUF9fT11d\nHZdffjkADzzwAH6/n6eeeurcvQNCCHEGiaTGOwc7WP+3ZnpCCh+3B/BH43hybUyQicJCjCp2s4EL\n3E6yrCaaeyM0dIc52hNm5V8bONwVHLC+ECNVRvsMbN26lW9961uoqsrSpUv5xje+wbPPPgvAvffe\nC8D3vvc9Xn/9dRwOBy+88EJ6taHT1YXU0qKLFi3iyJEjVFRUsHbtWpzO1Dq/Tz/9NM899xxGo5EV\nK1Zw9dVX09zcTFlZGVOnTsVsTm0Qct9993HPPff8/cXIakJCiHOkLxJn4wctNPsidAVjeH0RDAY9\n5Xl2nJYBO1WFECOUpml0BGK0+qOYDXom5juwmQ1cMTGfqysK5CaAGDKy6VgGJAwIIc6Fj9sDbN7X\nRjCm0tQbpjccJ8tqZEKeHaNBlh0UYiwIxlKLBCSS4Mmxke8048mxUTN9PDmyYIAYAhIGMiBhQAjx\naaiJJG9/nFotKKwkaOgOoSSSjMuyUuSyZLygghBidIgnkhztCROIquTazZTm2rCbDdw8rZipxVlD\n3TwxxkgYyICEASHE2WoPRNm0t5XOYCy1WpA/ismgZ4IMCxJiTPvHYUMT8uw4LEYuKcnmuilFWIyy\nmpg4PyQMZEDCgBDik9I0jdqjvWyp6ySqJtJ3AXPsJkpzbRj1MixICAGhmEpDT5j4sd5Ct8tKrt1E\nzfTxlOTYhrp5YgyQMJABCQNCiE/CH43zxw9aOdobxheO09QbJgl4sq3kOcwyLEgIcZJEUkvPI3Ja\nUvOIrEYDV0zK58pJ+TK5WAwqCQMZkDAghMiEpml80OLnfz5uJ6wk8PoidIcU7GZD6o+7bCImhDgD\nTdPojcRp7o0AqcnFeQ4zxS4rt04fR6HTMsQtFKOVhIEMSBgQQgwkEI3zxr52DnUFCUZVGnvDKIkk\nbpeV4iyZJCyEyExMTdLYEyYYU8m2mSjLtWExGvhsZQFzyvNk52JxzkkYyICEASHEmRzvDXj74w7C\nikpLX5TOYAyLUU+ZTBIWQpwFTdPoDMZo7Yui1+kozbWTYzcxPtvGLRcVSy+BOKckDGRAwoAQ4nR8\nkThv7GujvjtEKKZytCdMTE1S6LIwLssq43yFEJ9KNJ5afCCsJMi1m/DkpHoJrpyUz9yJebIQgTgn\nJAxkQMKAEOJESU1jV2MvWw91EYknaD3WG2A+1hvgkt4AIcQ5omka7YEYbf4oBp0OT66NXLuZIqeF\nm6YVy4pD4lOTMJABCQNCiONa+6K8ub+NVn8UfyROky+CkkhS6JTeACHE4InGEzT2hgnFEmTbTJTm\n2DAb9cz05FA9uVAWKBBnTcJABiQMCCFiaoJth7rY1egjlkitFNQbjmM1GSjLteGQ3gAhxCBLzSVQ\naPVH0QHFWVYKnRZcFiP/NKWIacUuWaxAfGISBjIgYUCIsUvTND5s9fPOwU5CMZWuUIyWviiapuHO\nslLkssjqHkKI8yqmJvH6IvRF4tjNBkpz7djNBspy7dww1S0TjMUnImEgAxIGhBib2v1R/vtAO02+\nCKGYSrMvQlhJ4LIaKc2xYZFueSHEENE0jb5InGZfBDWhke8wMz7bhsmgZ3ZZDldXFMjQIZERCQMZ\nkDAgxNgSjKlsPdTJXm8f8USSlr4o3SEFk0FPSY6VHJtJuuKFEMNCIqnR5k8tYmDQ6RiXbaPAYcZu\nTu1NMMOTI72Xol8SBjIgYUCIsSGeSFJ7tIe/1vcQUxN0BhXa/FGSmkaRy4LbJROEhRDDUySeoNkX\nIRhVsZkNeLJtOK1GCh0Wrr2gkEkFDrmJIU5rsK5zM1r4dtu2bcyaNYuqqiqeeeaZ05ZZtmwZVVVV\nzJ07lwMHDgxYNxAIMG/ePKqqqpg/fz7BYDD9vRUrVlBVVcWsWbPYvn17+vkf/OAHlJWV4XK5PvEL\nFUKMfElNY4/Xx7Pbj7D1UBcdgRj72wJ4fREcFiMXul2Mz7ZJEBBCDFs2k4HKAgcT8+0kkhp1nUGO\ndIVo9kVY/7dmXtrVRGtfdKibKcaQAXsGEokEU6ZM4e2336akpITLLruMl156ialTp6bLbN68mV/8\n4hds3ryZnTt38s1vfpMdO3b0W/f++++noKCA+++/nyeeeILe3l4ef/xx9u3bx5e//GXeffddvF4v\n1113HXV1deh0OmpraykrK2Py5MkEAoFTX4z0DAgxKmmaxsHOIFvruugKxQjFUjsIB2MqVpOBkhwr\nWVbTUDdTCCE+kaSm0RmI0RaIoWkaBQ4LxVkWjAY904qzuLqigHyHeaibKYaJwbrOHXCNvdraWior\nKykvLwdgwYIFbNy48aQwsGnTJhYvXgzAnDlz8Pl8tLW1UV9ff8a6mzZtYuvWrQAsXryY6upqHn/8\ncTZu3MjChQsxmUyUl5dTWVnJzp07mTt3Lpdffvk5fvlCiOFM0zSOdIXYdriLVn+UWDxJS18EXySO\nyaCjNNdGvsMsXepCiBFJr9PhzrKS5zDT5o/SFYrRE1YocllIJjUOtAWYXpLFlZMKyLHJDQ8xOAYM\nA16vl9LS0vRjj8fDzp07Byzj9XppaWk5Y9329nbcbjcAbreb9vZ2AFpaWpg7d+4pxxJCjB2aplHf\nHWb7kS6afREUNUmbP0pPSEGv1zEuO7VmtwwHEkKMBiaDntJcO4VOC619UVr7onQFU6Eg0ZTkwxY/\nVSXZfGZivoQCcc4NGAYyveOWSbeFpmmnPZ5Op+v3PJ/krt/y5cvT/66urqa6ujrjukKIoaVpGoc6\nQ/y5vpuWvghxNUlbILVCkA4odFkoclkwGTKa7iSEECOK1WRgYoGDUEyl1R/F64vQGYjhzrLwflOS\nvd4+Lh6fxWfK88mT4UOj3pYtW9iyZcugn2fAMFBSUkJTU1P6cVNTEx6Pp98yzc3NeDwe4vH4Kc+X\nlJQAqd6AtrY2iouLaW1tpaio6IzHOl4nEyeGASHEyJBIahxoD/DX+m46gjEUNUm7P0p3WAEg32HG\nnWXFLCFACDEGOCxGKgudBGIqrX1RmnojtPtjFLksqIkkH3j9THE7+czEfIqzrEPdXDFI/vGm9iOP\nPDIo5xnwL+ull15KXV0dDQ0NKIrC+vXrqampOalMTU0Na9asAWDHjh3k5OTgdrv7rVtTU8Pq1asB\nWL16NfPmzUs/v27dOhRFob6+nrq6OpkrIMQoFVMTvHu0h19tP8LGD1po7A1ztCfMvjY/PWGFfIeZ\nacVZlObaJQgIIcYcl8XI5EIHlYUOzEY9zb4IH7UFaPVH+LDVz8odDby0q4nDXUFZQEWctQF7BoxG\nIytXrmT+/PmoqsrSpUuZOnUqzz77LAD33nsvN998M9u2bWP69Ok4HA5eeOGFfusCPPjggyxatIiq\nqioqKipYu3YtANOmTePuu+9m9uzZGI1GVq1alR4mdP/99/PSSy8RiUQoLS1l6dKlPPTQQ4Pyxggh\nBo8vrPBek489Xh8xNUkwptIRiNEXiaPX6yh0Wih0WSQACCHGPJ1Oh8tqwmU1EYyptPmjtPRFaQ/E\nKHCYiSeS1HeHKHRYuGxCLhePy8Ion53iE5BNx4QQ54WmaRzpDvG3Zh+HOkIkNA1fRKEzoBBSVIyG\nVAgocJjlD5kQQvQjrCToCETxReIA5NrMFLks2MwGbCYDl5RkM9OTQ65d5hWMJrIDcQYkDAgx/IQU\nlQ9a+vhbk4/eSBw1kaQrpNAVVIgnklhMeoqcFvLsZvSyOpAQQmTs+A7sPSGFRFLDaTFS6DSTbTOj\n00FFgYMZJTlUFjpl9bVRQMJABiQMCDE8JDWN+q4Qe7x91HUGSWgawZhKV1DBF1HQNHBZjRQ5Lbis\nRtknQAghPoVEUqM7pNB5bAEGk0FPvsNMgcOMyajHYTYyfXwWl5TkyCZmI5iEgQxIGBBiaLUHonzY\n4uejVj9BRUVNJOkJx+kOKUTjCQx6HXnH/kBZTYahbq4QQowqmqYRiKp0hhT80Tg6DbKsJvIcZrJt\nJnQ6GJ9tY/q4LKYWu7CbB5w6KoYRCQMZkDAgxPnXG1bY3xZgX5ufjmAMTQN/NE5PSKEvGkfTUsvk\n5TvM5NpMMhRICCHOg5iaoCeUuhkTT6R6C3LtJvLsZmxmAwadjon5Di4al0VloQOLUW7QDHcSBjIg\nYUCI86M7pHCwI8CB9gCt/ihoqbkBPWEFXziOmtQwGXTk2s3kSy+AEEIMGU3T8EfVk27Q2EwG8hwm\ncmxmzEY9Rr2OygInU9wuKgoc8pk9TEkYyICEASEGh6ZptPqjHOoM8nF7kM5QDICwotIbjuOLxFHU\nJHq9jmyrkTy7WeYCCCHEMKMmkvgiqZ7bkJIAUj23uXYTOVYTJqM+3WNQWehkcqEDl9U0xK0Wx0kY\nyICEASHOnWg8QUNPmMNdQQ51hggpKpoGoZiKLxKnL5oKADpdakxqjt1EttUkK1YIIcQIEFMT+MJx\neiNxIseDgdlIjt1Its2MxZha4rnYZaWy0MGkAgfjs23o5SbPkJEwkAEJA0KcPTWZpLUvSkNPmPru\nEC2+KEk0EkkNfzSOP6Lij6aGAOl14LKayLaZyLYZMeplXwAhhBipovFE6iZPJE74WDCwmgxkW41k\n20zYzUZ0OrAY9UzMc1Ce76A8z06u3SQ9wOeRhIEMSBgQInPHL/6bfBEae8I09UaIJ5OgQTiu4o+o\nBGJqukfAaNCRZTWRbTXikh4AIYQYlWJqEv+x3t9gLPX5b9DryDr22Z9lMWI61muQZTUxIc9OWa6N\n0hwJB4NNwkAGJAwIcWbBmIq3L4LXF6HFF6XFH0FNaqBBVE0QiB67+I+pqed1YDcZyLIaybKasJsN\n8iEvhBBjSCKpEYjG8UdV/DGVuJoEUj0ELqsRl8WI02JM7xrvMBvx5NgoybFSkm1jXJZVdpQ/hyQM\nZEDCgBApYUWlPRCj1R+lrS9Kqz9KXzS1bb2maUTiCYKxBMETL/5JfcA7Lcb0h7x8iAshhIDU346o\nmiQQVQnGUl+JY387rCY9TrMRh8WIw2zEYkr97TDodBQ4LYzPsjIu24rbZaXQZZahpWdJwkAGJAyI\nsSaR1OgJK3QEYnQFY3QEY7T7o/hjarpMLJ4kHFcJKwlCSoKIonLs8xuLUY/j2J0dp8WYnjAmhBBC\n9EfTNMJKgqCiEjp2c+l4ODAZ9NjNBhxmA3azEbvZkB5aatDpyHeYcbssFLosFDotFDktOC2yAt1A\nJAxkQMKAGK0iSoKesJL6Cil0hxS6Qgq9/z979x/d1H3fj/959cOWLNvYGCyD5GCwm0CKxY8Q8Gh2\n6oasP2jj2kv3GWlHTdiHw1l32qX9freVbfQLB9Ym67qV0HXlLEANXRvajgFLSNpkieOQxHZiwA6/\nggEbZFmSLduy9Vu6uu/vHwKD+WGMsH0t+/k4x8fS9ft970u8hXRf933f73cwivjV97wQidkhgtE4\nQrGrP9H44FV/jQQY03QwpWmvXr3RQs8r/0RENAqu9RwEIjIC0TiCURnhmDL493RdIkEw6q//6G+4\nAJWu02CGKR15psT6NNNNacjLSENOhp49CVcxGRgBJgOUquS4gv6wjP5QDAPhxLz9fcEo+kNXp32L\nxQfLXjvpD8sKIrE4QjEF4VgcYTmOa29/jZSYCcKYpoVJr4UxTQejXsOrLkRENG7iikAwmuiZDl69\nQBWRrycIOo2U+K7Sa2HQa5CuS/y+8UKVhMTsdblGPXKvJgfTDImZ7KYZ9DCl66bMdKdMBkaAyQBN\nNMrVbtRARB7sSvVFYoODdX1hGQOR61O5XSMEEJUVROIKonLiwzPxk3h849s8Tae5+mGquf6hquOJ\nPxERTTxxRQz2XodvuKB17RYjIDF7UboukRwkfid+0nSaW3q0tZKEzHTd4GxHWemJMW833gJrSkvs\nJ9W/F5kMjACTgcmntrYW5eXlaocBIHH1PiwrCMtxRGLKTR9m12/PCUYTP4GYjHBUgYJb35PxuEA0\nriAWVxCNi8RvWUE0nviJyUNraQY/GBM/Bp0W6frE71Sa4vNScyPmLVqudhg0Stiekwvbc/JJlTYV\nQiCmCERi13q9r37XXv1evPELUSNJSNNJSNMmkoM0bSJBuPZbr5Wguc33ok4jJcYv6LUwpV+/VSlx\n6z7q5JsAACAASURBVJJu8IKaQZe4uJZ+9Xt2IvU6jNV5ru5uBerq6vDss89ClmVs2LAB3/zmN28p\ns2nTJrzyyivIyMjAz3/+c8yfP3/Yuj6fD2vXrsWlS5dQXFyM/fv3IzMzEwDwwgsv4MUXX4ROp8ML\nL7yAxx57DABw9uxZrFu3DqFQCE8++ST+8R//cdT+EWjiutdkQBECclxAVhTISuJxTFGub4snPnBi\nV0/EY3GBiHztpPyGE/KrV+Kj8etX5GVlmP+AIjFvf1zBDccTkOPK4PNrx5XjCm7elSRh8MMsM12H\ntIzEh1z64AedlPJXNACgrSU1vphoZNiekwvbc/JJlTaVJAlp2sQJftZNf1OESHw3D/aWX/+eDoZi\nkOO3fjdrNYl96TQSdFe/Q3UaCfrBbRJ0Gg20GumuF9TStde+j7WJ39rEd7P+6vdzIimRoNdc33bt\nGHqtBnqNJvH4aiw6TSIWrWbifK8PmwzE43GsX78eb7zxBiwWCx599FE88cQTWLBgwWCZo0ePorm5\nGS0tLWhoaMC6detQX18/bN1t27Zh5cqVOHToEJ5//nls374dzz33HM6cOYM9e/agqakJDocDTzzx\nBFpbWyFJEqqrq/GTn/wEy5cvx+rVq/Haa6/h85///C0xn+zw3tc/yL3kW/eWnN258I37uV2pm7NA\nccuDW+sJiMH93lz+5r+JmwpcO1EVIlH2+uPrsSgi8VhcraZc3ee1MoN/v+FvytXtGHycqK8oie2K\nEIgLMeR5fXsv/uXN1sTfFDE4WHa0JY4pEBeJx9fiiAuBuALEr57ox4Vyw/PECf+133ejvfpBZErX\nDV69uHYlQ6eVcKePhERiM7qvVy2xuIJgVL57QUoJbM/Jhe05+UymNtVpJei0iRmKbqQIDF7Qi8XF\n4IW+WDzRw6BEhn/9koTBxODaSbpWI0Er3fD46nONRoJWSnyfa6Rr2zAmJ/USEr0gOk3iuGM54cew\nyUBjYyNKSkpQVFQEAFizZg0OHz48JBk4cuQIqqurAQArVqyA1+uFy+VCW1vbHeseOXIEb7/9NgCg\nuroa5eXleO6553D48GE8/fTT0Ov1KCoqQklJCRoaGjBnzhz4fD4sX57Ibr/+9a/j0KFDt00Gjp5x\n3fc/Co0NcS1zEMDgue3VZAHiemJyY7ISjMrwBCJDtt/4WBl8fC0BuZ6MKOLGJOR6+WvPBx8rAmOT\nYgwVVwTiShxXp/ufknoCUXzs9qsdBo0StufkwvacfNimdyeuJhOx+N3L3okkJU7cEz+JW3sHH1/9\nLV37jcTfEnWGbpekxL6uPdZIiQuFkjQ2Ccc1wyYDDocDhYWFg8+tVisaGhruWsbhcKCzs/OOdd1u\nN8xmMwDAbDbD7XYDADo7O1FWVnbLvvR6PaxW6+B2i8UCh8Nx25j//nMLbrudUtc7v/p3tUOgUXTm\nyG61Q6BRxPacXNiekw/blO5m2GRgpFnISAYzCCFuuz9JGr17pjh4mIiIiIho5Ia9AcliscButw8+\nt9vtQ67Q365MR0cHrFbrbbdbLBYAid4AlytxO4/T6UR+fv5d99XR0XHbfRERERERUXKGTQaWLVuG\n1tZWtLe3IxqN4sCBA6ioqBhSpqKiAvv27QMA1NfXIycnB2azedi6FRUVqKmpAQDU1NSgsrJycPtL\nL72EaDSKtrY2tLa2Yvny5SgoKEB2djYaGhoghMD+/fsH6xARERERUXKGvU1Ip9Nhz549qKqqGpwe\ndMGCBdi1axcAYOPGjVi9ejXq6upQWloKk8mEvXv3DlsXADZv3oy1a9fCZrMNTi0KAA8//DCeeeYZ\nPPLII9DpdPj5z38+eAvR3r178cwzzyAYDOJLX/rSbQcPExERERHRPRCTxNtvvy2WLFkiSktLxQsv\nvKB2OHSDZ555RuTn54uFCxcObhsYGBBf/vKXRWlpqaisrBQ+n2/wbzt27BClpaViyZIl4p133hnc\nfubMGbF8+XJRWloq/u7v/m5wezQaFevXrxelpaXi8ccfF06nc3xe2BR15coVUV5eLh5++GHx6U9/\nWuzdu1cIwTZNVaFQSCxfvlwsWrRIrFixQvzLv/yLEILtmepkWRaLFy8WX/rSl4QQbM9UN2fOHFFa\nWioWL14sHn30USEE2zSV+f1+8fWvf10sXrxYLFiwQNTX16vanpMiGZBlWRQXF4u2tjYRjUbFokWL\nxJkzZ9QOi66qq6sTx48fH5IM/PVf/7V4/vnnhRBCPPfcc+Jv//ZvhRBCnD59WixatEhEo1HR1tYm\niouLhaIoQgghHn30UdHQ0CCEEOILX/iCePXVV4UQQvzbv/2b+Iu/+AshhBAvvfSS+NM//dNxe21T\nkdPpFCdOnBBCCNHd3S3MZrM4c+YM2zSFBQIBIYQQ4XBYfPKTnxTnz59ne6a4H/3oR+KrX/2qePLJ\nJ4UQ/MxNdUVFRaKnp2fINrZp6vr6178udu/eLYQQIhaLCa/Xq2p7Topk4L333hOf+9znBp//4Ac/\nED/4wQ9UjIhu1tbWNiQZeOihh4TL5RJCJE4uH3roISGEEN///vfFc889N1juc5/7nHj//fdFZ2en\nmD9//uD2X/3qV2Ljxo2DZerr64UQif9UM2bMGPPXQ9d96UtfEq+//jrbdBLweDxi/vz54vLly2zP\nFGa328WqVavEm2++OdgzwPZMbUVFRcLj8QzZxjZNTV6vV8ydO/eW7Wq259gtZzaO7rTWAU1cw601\nceOMVTeuW3GntSZubH+dTodp06aht7d3vF7KlHbhwgWcPn0aZWVlbNMUpigKFi1aBLPZjL/8y7/E\nAw88wPZMYd/+9rfxwx/+EBrN9a94tmdqkyQJjz/+OJYsWYL/+I//AMA2TVVtbW2YOXMm1q1bh4UL\nF2LDhg0IBoOqtuekSAbGclU2GnujudYEjR+/3481a9bgX//1X5GZmTnkb2zT1KLRaNDc3IwLFy7g\npz/9KU6cODHk72zP1PHyyy8jPz8fS5YsuePaO2zP1PPuu++iubkZv/zlL/H9738f77zzzpC/s01T\nhyzL+OCDD/DUU0/hgw8+QCQSwW9+85shZca7PSdFMjCS9RBoYhmNtSautbHFYsGVK1cAJP6T9ff3\nY/r06eP1UqakWCyGp556Cn/2Z3+GL3/5ywDYppNBUVERVq9ejbfffpvtmaLee+89HDlyBHPnzsXT\nTz+NN998E2vXrmV7prhZs2YBABYsWICqqio0NjayTVOU1WpFXl4ennzySRiNRjz99NN47bXXUFBQ\noFp7TopkYCTrIdDEMhprTVw7Cb1xX7/97W+xatUqdV7UFCGEwJ//+Z/jk5/8JJ599tnB7WzT1OTx\neOD1egEAPT09ePXVV1FaWsr2TFHf//73Ybfb0dbWhpdeegmPP/449u/fz/ZMYcFgED6fDwDQ3d2N\no0eP8v9oCisoKEBJSQkaGhqgKApeeeUVrFq1Ck8++aR67Znc8IeJp7a2VixevFgsXLhQ7NixQ+1w\n6AZr1qwRs2bNEmlpacJqtYo9e/YMO4XWj3/8Y7Fw4UKxePFiUVdXN7j99OnTYvny5WLhwoXiu9/9\n7uD2aDQqnnnmGbFw4ULxmc98hlOijbF33nlHSJIkFi1aJBYvXiwWL14sXn31VbZpimppaRFLliwR\nNptNfPaznxUvvviiEGL4aQvZnqmhtrZ2cDYhtmfqunTpkli0aJFYtGiRePzxx8XPfvYzIQTbNJV9\n/PHHYsWKFaK4uFhUVlYKv9+vantKQtzhpkIiIiIiIprUJsVtQkREREREdO+YDBARERERTVFMBoiI\niIiIpigmA0REREREUxSTASIiIiKiKYrJABERERHRFMVkgIiIiIhoimIyQEREREQ0RTEZICIiIiKa\nopgMEBERERFNUUwGiIiIiIimKCYDRERERERT1H0lA3V1dVi6dClsNht27tx52zKbNm2CzWZDWVkZ\nzp07d9e6Pp8PlZWVsNlsqKqqgt/vBwAIIfBXf/VXeOSRR7By5Uq8+OKL9xM6EREREdGUl3QyEI/H\nsX79ehw8eBBNTU3YvXs3zp49O6TM0aNH0dzcjJaWFuzYsQPr1q27a91t27Zh5cqVaGlpQVlZGbZv\n3w4A+N3vfoeLFy+iqakJv/vd77B9+3Z4vd5kwyciIiIimvKSTgYaGxtRUlKCoqIi6PV6rFmzBocP\nHx5S5siRI6iurgYArFixAl6vFy6Xa9i6N9aprq7GoUOHAADZ2dkIBoMIBoPwer2QJAkZGRnJhk9E\nRERENOUlnQw4HA4UFhYOPrdarXA4HCMq09nZece6brcbZrMZAGA2m+F2uwEAK1euRFlZGcxmM+bN\nm4ef/exnSEtLSzZ8IiIiIqIpT5dsRUmSRlROCDGiMrfbnyRJg9tffvllfPDBB7hy5Qq6u7uxatUq\nnDx5Enl5efccExERERFRqhnJefW9SjoZsFgssNvtg8/tdjusVuuwZTo6OmC1WhGLxW7ZbrFYACR6\nA1wuFwoKCuB0OpGfnw8gMeD4qaeeQm5uLnJzc7Fy5Up88MEH+PznPz/kmGPxj0ST05YtW7Blyxa1\nwxhXQgg4/ud/0fm7dyBkGUGHG6HOLoh4HJAkSDotJK0WSjgCQIIuy4QMixnpM3KRs/AhzPt6JXSm\nqXd73lR8r1Dy+H6hkeJ7he7FWF30Tvo2oWXLlqG1tRXt7e2IRqM4cOAAKioqhpSpqKjAvn37AAD1\n9fXIycmB2Wwetm5FRQVqamoAADU1NaisrAQArFq1Cq+99hqi0Sg8Hg8+/PBDPPbYY8mGTzTlCEVB\n2y8Oo/N37yDs6kbPBx8haHciLXcacpc8jBkrl2LGisXIW1aK3EcWwjRnNoQsY+DcRfgvXoG35SxO\n/+Bn8F+y3/1gRERElBKS7hnQ6XTYs2cPqqqqIMsyNmzYgAULFmDXrl0AgI0bN2L16tWoq6tDaWkp\nTCYT9u7dO2xdANi8eTPWrl0Lm82G4uJi7N+/HwDwxBNPoK6uDp/61KeQkZGBrVu3IjMz835fP9GU\nEI9GcWnPb9H30ccIXOlE8Eon9DnZyJxbCJ3JeEt5ndEAXeEsGC1mBC47EHK4EfMFkD1/Hs7t2IuH\nvvl1ZJUUjf8LISIiolEliUl0X40kSbxNiEastrYW5eXlaocx5pRYDB//ZD98rZfhu3gZYVc3DPkz\nkPmJOSPucoz0eOFrbQMgIdc2H+l5OVjw//xfGGfNHNvgJ4ip8l6h0cH3C40U3yt0L8bqPJfJANEk\nJoRA2y8Ow/P+CQx8fAkRTy+M1gKY5lju+d7DeCiMvpaPIWk0yF00H8ZZ+Xj4//2/0Gezh46IiGis\njdV57n2tQExEE5vnvePw1J9AwO5ExNMLU5EVmUXWpAYhaY0GTHu4BCIWQ/+ZCwh39eD8v/8n4pHo\nGERORERE44HJANEkFbjswOXfHEW0rx9BeyfS8/NgtJjva5/6LBOy5hdDDgQxcO4iApcdaP/PI6MU\nMREREY03JgNEk5AcCOLCi79GzBfEwMdt0GYYkVX8wKhMS5Y+fRoyix9AtK8fgSud6Gn6CL0nzoxC\n1ERERDTemAwQTULtv/wfRDy9GDh3ERAC2fPnQdJqR23/xoKZMOTPQLDDBdkXwOWXXkbMFxi1/RMR\nEdH4YDJANMl4T51H78kzCFzphOwPIOvBudAZDaN+HNM8KzR6PXyt7YgN+HD510dH/RhEREQ0tpgM\nEE0i8WgUl399FPFgGEGHG4b8GUjPyxmTY2l0OmSWzIEcDCFwxYne46d4uxAREVGKYTJANIk4X6tD\npKcPvouXIWm1MM21jOnx0qdPS9wu5Lh+u5AcCI7pMYmIiGj0MBkgmiRCzm4433gP4a4exPp9MBVZ\noNHrx/y4Q24X8vnR+VrdmB+TiIiIRgeTAaJJQAiBy79+BUokgkBbB3RZmTCYZ4zLsTU6HTLnFUIO\nhhB2e+B+uxHh7t5xOTYRERHdn/tKBurq6rB06VLYbDbs3LnztmU2bdoEm82GsrIynDt37q51fT4f\nKisrYbPZUFVVBb/fDwD4z//8TyxZsmTwR6vVoqWl5X7CJ5o0+prPYuB8G/ztDiiyjKyS0ZlGdKTS\n8nKgy8pE4HInlGgMHUf+d9yOTURERMlLOhmIx+NYv349Dh48iKamJuzevRtnz54dUubo0aNobm5G\nS0sLduzYgXXr1t217rZt27By5Uq0tLSgrKwM27dvBwB87Wtfw4kTJ3DixAns378f8+bNg81mSzZ8\noklDKAocL7+FeDCMsNsD46x86EwZ4xqDJEnInGuFEosh6HCh9/gp+Ns6xjUGIiIiundJJwONjY0o\nKSlBUVER9Ho91qxZg8OHDw8pc+TIEVRXVwMAVqxYAa/XC5fLNWzdG+tUV1fj0KFDtxz7l7/8Jdas\nWZNs6ESTSm/TKYScXQhcdkDSaJBRWKBKHPrsTKTPyEWoww0lGoP9v38HIYQqsRAREdHI6JKt6HA4\nUFhYOPjcarWioaHhrmUcDgc6OzvvWNftdsNsNgMAzGYz3G73Lcf+9a9/jSNHjtw2ri1btgw+Li8v\nR3l5+T2/NqJUocTjcLz8FmR/EJEeLzIKC8Zl0PCdZMyxINLjReByJzRpenhbziF30QLV4iEiIkpV\ntbW1qK2tHfPjJJ0MjPR+5JFcGRRC3HZ/kiTdsr2hoQEZGRl4+OGHb7uvG5MBosmup/4kwp7eRK+A\nTgujxaxqPDqjAcZZ+Qg5u5BhMaPjf95Ejm3+uI5fICIimgxuvqi9devWMTlO0rcJWSwW2O32wed2\nux1Wq3XYMh0dHbBarbfdbrEk5kM3m81wuVwAAKfTifz8/CH7fOmll/DVr3412bCJJg0lFoPjaC1i\nA35E+/qRYTFDo0s6vx81GYWzIGk0CNg7EXJ2oa/57N0rERERkSqSTgaWLVuG1tZWtLe3IxqN4sCB\nA6ioqBhSpqKiAvv27QMA1NfXIycnB2azedi6FRUVqKmpAQDU1NSgsrJycH+KouA3v/kNxwsQAeg+\n1oSodyDRK6DXwzg7/+6VxoFGr4OhYCYinj7EQ2E4f/cOxw4QERFNUElfRtTpdNizZw+qqqogyzI2\nbNiABQsWYNeuXQCAjRs3YvXq1airq0NpaSlMJhP27t07bF0A2Lx5M9auXQubzYbi4mLs379/8Jh1\ndXV44IEHUFRUdB8vmSj1KbIM5+vHEPP6EguMzSuEpNWqHdagDIsZIWcXgh0uaI0GDJy9gGkPf0Lt\nsIiIiOgmkphEl+wkSeIVSJoSut8/gbZfHEL/qfOQgyFMX1YKSTOx1hD0X7qCkLMb0x8pRc4nS7Dg\nO3+udkhEREQpa6zOcyfW2QMR3ZUQAq7Xj0H2BxH1DsA42zzhEgEAMFoSU5yGHC74Ll6B70K7ugER\nERHRLSbeGQQRDcv70ccIuT0IdrggabUwFMxQO6Tb0qanwZCfh5DbAyUaQ+drdWqHRERERDdhMkCU\nYlxvvIt4OIpITx8MBTMnxAxCd2K0FgBCIORwo//sRQQuO9QOiYiIiG7AZIAohfguXoHv4hWEHInp\ndyfKDEJ3ojMaEqsSu7oh5Dhcb9WrHRIRERHdgMkAUQpxvX4MSkxGyO2BYWYetOlpaod0V8bZZoh4\nHGG3B73HTyPqHVA7JCIiIrqKyQBRigi5utH30ccIObsARYHRqu5qwyOlzzJBn52JkLMLQo6j650P\n1A6JiIiIrmIyQJQiut5uBBQFYWc30qbnQJdhVDukETPONiMejiDS60XXOx9CicXUDomIiIjAZIAo\nJcihMDz1JxHu7oMSi034sQI3S8vLgSY9DaFON+RAED2NLWqHRERERGAyQJQSeupPIh6NIuTsgjbD\nCP20LLVDuieSJME4Ox+xfh9kfxCut+q5QCAREdEEcF/JQF1dHZYuXQqbzYadO3fetsymTZtgs9lQ\nVlaGc+fO3bWuz+dDZWUlbDYbqqqq4Pf7B/924cIFrFq1CosXL4bNZkMkErmf8IlSghAC7rcbEBvw\nQ/YHYJyVD0mS1A7rnhnMMyBptQh1uhFydmHg40tqh0RERDTlJZ0MxONxrF+/HgcPHkRTUxN2796N\ns2fPDilz9OhRNDc3o6WlBTt27MC6devuWnfbtm1YuXIlWlpaUFZWhu3btwMAZFnGU089hR//+Mc4\nefIk3n77bej1+mTDJ0oZA2cvINzdi5CzK7HIWP50tUNKikang8Gch7CnD0o0BvebnGaUiIhIbUkn\nA42NjSgpKUFRURH0ej3WrFmDw4cPDylz5MgRVFdXAwBWrFgBr9cLl8s1bN0b61RXV+PQoUMAgN//\n/vew2WwoLS0FAOTm5kKj4V1ONPm5axuhRGOIePoGr66nKsOsfEBREHJ50H+mFRFPn9ohERERTWlJ\nn007HA4UFhYOPrdarXA4HCMq09nZece6brcbZnNiykSz2Qy32w0AOH/+PCRJwh/90R9h0aJF+NGP\nfpRs6EQpI9zVg/4zrQi5ugEhYJg1U+2Q7ovOaIA+JxthVzeEoqDr3Q/VDomIiGhK0yVbcaT3LI9k\nkKAQ4rb7kyRpcLssy3jttddQX1+PjIwMfPazn8VXvvIVzJkzZ0idLVu2DD4uLy9HeXn5iOIkmoi6\n6hoh4lenE82dBp3RoHZI9804Kx8DZy8g0tsPz3snYPniZ6DRJf1RRERENCnV1taitrZ2zI+T9Dew\nxWKB3W4ffG6322G1Woct09HRAavVilgsdst2i8UCINEb4HK5UFBQAKfTifz8xBSKhYWF+PSnP415\n8+YBAL7whS/gtddew8aNG4cc88ZkgCiVKbEYPPUnEelJzelE7yRt+jRo0tIQdnYhPS8HfSfPIm9Z\nqdphERERTSg3X9TeunXrmBwn6duEli1bhtbWVrS3tyMajeLAgQOoqKgYUqaiogL79u0DANTX1yMn\nJwdms3nYuhUVFaipqQEA1NTUoLKyEgDw2c9+FidPnkRfXx8CgQDeeustrFq1KtnwiSa83qbTkENh\nhFzd0BjSoc/JVjukUSFJEgwFMxD1+hAPhbkiMRERkYqS7hnQ6XTYs2cPqqqqIMsyNmzYgAULFmDX\nrl0AgI0bN2L16tWoq6tDaWkpTCYT9u7dO2xdANi8eTPWrl0Lm82G4uJi7N+/H0BiwPAPf/hDPPbY\nYwiFQnj66adRUlJyv6+faMLqOvYh4sEwYv0+mIqsKTmd6J0YCmYgaHci7PLAZzQg6HAjw2JWOywi\nIqIpRxKTaOUfSZK4kBFNCsEOF0794N/hv2RHyNmFvEdt0KRNrql0B85dRNTrw4zlNpjLyzDnT7+o\ndkhEREQT1lid53JuTqIJqPvdJkBREO7qQXpe7qRLBADAUDATQpYR9vTB09CMeJiLCBIREY03JgNE\nE0w8EoWnoRlhTx+ELMNQMEPtkMaEfloWtEYDQs5uxCMR9DadUjskIiKiKYfJANEE0/vhR4hHIgg5\nu6E1GqCflqV2SGMiMZB4JmSfH3IghK53m9QOiYiIaMphMkA0wXQd+xByIATZ54ehYOakGjh8M0N+\nHqDRIOzqRuCyAwG7U+2QiIiIphQmA0QTSOCyA4ErnQi7ugGNJnGyPIlp9Dqk5+Ug3N0LKAo87x1X\nOyQiIqIphckA0QTS/f6JoQOH9ZN/Zd4hA4kbWxCPRNUOiYiIaMpgMkA0QcQjUfQ0tiQGDsfjk3bg\n8M302ZnQGg0IuzyIh8PoO3FG7ZCIiIimDCYDRBNE34kziEciCLuuDhzOzlQ7pHEhSRIM5hmIDfgQ\nD4bR9e6HaodEREQ0ZTAZIJogut69uuLwgB8G84xJPXD4Zob8PECSEHJ3w3/JjmBnl9ohERERTQlM\nBogmgGBnV2K1YXc3IEmTfuDwzTRp+sRAYnfP1YHEnGaUiIhoPNxXMlBXV4elS5fCZrNh586dty2z\nadMm2Gw2lJWV4dy5c3et6/P5UFlZCZvNhqqqKvj9fgBAe3s7jEYjlixZgiVLluAb3/jG/YRONKF4\n3j8OKAoiXb1Im54zKVccvhuDOTGQONLjhaehGUospnZIREREk17SyUA8Hsf69etx8OBBNDU1Yffu\n3Th79uyQMkePHkVzczNaWlqwY8cOrFu37q51t23bhpUrV6KlpQVlZWXYvn374P5KSkpw4sQJnDhx\nAj/96U+TDZ1oQlFkGZ6GZkR6+6HEYjBOkYHDN9PnZEFjSEfY7YEcDKGv+dzdKxEREdF9SToZaGxs\nRElJCYqKiqDX67FmzRocPnx4SJkjR46guroaALBixQp4vV64XK5h695Yp7q6GocOHUo2RKKU0Nd8\nDnIgiLCrG5r0NOhzstUOSRXXBhJHvT7Ew5FEbwkRERGNqaQnMXc4HCgsLBx8brVa0dDQcNcyDocD\nnZ2dd6zrdrthNpsBAGazGW63e7BcW1sbSktLkZeXh+3bt+Oxxx67Ja4tW7YMPi4vL0d5eXmyL5Fo\nXHjea0I8HEXU60PGA7Om1MDhmxny8xC80omw24P+c5cQ8fQhfUau2mERERGNu9raWtTW1o75cZJO\nBkZ6wiKEGFGZ2+1PkqTB7bNnz4bdbkdubi5effVVfPnLX0Z7ezuysrKG1LkxGSCa6CKePvSfu4Sw\nuxuQAIN5at4idI02PQ1pOdkIu3tgemA2ut9rgrXiCbXDIiIiGnc3X9TeunXrmBwn6duELBYL7Hb7\n4HO73Q6r1TpsmY6ODlit1ttut1gsABK9AS6XCwDgdDqRn58PAEhLS0NubuIK4Re+8AXMmTMHra2t\nyYZPNCF0v38cEAJhdw/ScrKhTU9TOyTVGQpmQIlGEe3rh+f9kxCKonZIREREk1bSycCyZcvQ2tqK\n9vZ2RKNRHDhwABUVFUPKVFRUYN++fQCA+vp65OTkwGw2D1u3oqICNTU1AICamhpUVlYCADweD+Lx\nOADg+PHjuHjxIubNm5ds+ESqE4oCz/snEO0bgBKNTvlegWvScqdB0usRcnkQHfCh/zSTfiIiBYhp\nHwAAIABJREFUorGS9G1COp0Oe/bsQVVVFWRZxoYNG7BgwQLs2rULALBx40asXr0adXV1KC0thclk\nwt69e4etCwCbN2/G2rVrYbPZUFxcjP379wNITEX6ve99DzqdDiUlJTh48CBycnLu9/UTqab/dCui\n/T6EXN2Q9HqkTZ+mdkgTgqTRwGDOQ8jhhhKNofvdJuSUPqR2WERERJOSJEZyU3+KkCRpRGMUiCaC\n1l2/Qs+HH6HngxYYZ5uROdd690pThBwKo6/pFExzLDDNsWDRtm8jbYrOskRERASM3XkuVyAmUkG0\n3wfvqfMId/UAQsAwRdcWuBOd0QD9tCyE3R6IuAJP/Um1QyIiIpqUmAwQqcBTnxgYG3Z1Qz8tCzqj\nQe2QJhyDeQbi4Qhi/T543j/BXj8iIqIxwGSAaJwJIeB57zhi/YnFtThw+PbSZ+RC0mkRcncj7OmF\n73yb2iERERFNOkwGiMaZr7UdYU8vQi4PJK0W6XkcCH87kkYDQ34eIj1eiJiMrmNNaodEREQ06TAZ\nIBpn3e82QcgyIj19SM/Pg6TVqh3ShGUwzwAUBeHuHnhbziLmD6gdEhER0aTCZIBoHMmBIPpOnkkM\nHFYUGDlweFg6UwZ0WSaEXB4ochw9Dc1qh0RERDSpMBkgGkee+pNQ5DjCLg90mSboTBlqhzThGcwz\nEA+GEBvwo5sDiYmIiEYVkwGicSKEQPd7xxEb8EMOhjid6AgZZk6HpNUi7PYg5OyC/5Jd7ZCIiIgm\nDSYDROPEf/EKQq5uhK8OHDbMnK52SClB0mqRPiMXke4+CDmO7veOqx0SERHRpHFfyUBdXR2WLl0K\nm82GnTt33rbMpk2bYLPZUFZWhnPnzt21rs/nQ2VlJWw2G6qqquD3+4fs78qVK8jMzMSPfvSj+wmd\naNx1v3ccQo4j7OlF+tWr3TQyhoKZEEoc4e5e9B4/BTkYUjskIiKiSSHpZCAej2P9+vU4ePAgmpqa\nsHv3bpw9e3ZImaNHj6K5uRktLS3YsWMH1q1bd9e627Ztw8qVK9HS0oKysjJs3759yD6/853v4Itf\n/GKyYROpQg6G0Hv8FMLdvYCicG2Be6TLzIDOlIGwqxtKNIaexha1QyIiIpoUkk4GGhsbUVJSgqKi\nIuj1eqxZswaHDx8eUubIkSOorq4GAKxYsQJerxcul2vYujfWqa6uxqFDhwb3d+jQIcybNw8PP/xw\nsmETqaKnsQVKTEbY1Z2YISeTA4fvhSRJMBTMhBwIIuYLoOvYhxxITERENAqSTgYcDgcKCwsHn1ut\nVjgcjhGV6ezsvGNdt9sNs9kMADCbzXC73QAAv9+Pf/qnf8KWLVuSDZlIFUIIdL/bBNkXgBwIwlAw\nE5IkqR1WykmfOR2SRoOwqzsxkPjiFbVDIiIiSnm6ZCuO9GRmJFfvhBC33Z8kSYPbt2zZgm9/+9vI\nyMgYdp83Jgvl5eUoLy8fUZxEY8V/8QqCnW6EXN2ARoP0mblqh5SSNDot0vPzEO7qQebcQnQd+xBZ\nJXPUDouIiGhM1NbWora2dsyPk3QyYLFYYLdfn+LPbrfDarUOW6ajowNWqxWxWOyW7RaLBUCiN8Dl\ncqGgoABOpxP5+fkAErcl/dd//Rf+5m/+Bl6vFxqNBkajEd/4xjeGHJM9BzTRdL3zAYQsI9zdC0N+\nHjS6pP/bTXkG8wyEXd0Id/Wg7+QZyIEvcK0GIiKalG6+qL1169YxOU7StwktW7YMra2taG9vRzQa\nxYEDB1BRUTGkTEVFBfbt2wcAqK+vR05ODsxm87B1KyoqUFNTAwCoqalBZWUlgMTsQ21tbWhra8Oz\nzz6Lv//7v78lESCaaGK+wE0rDs9UO6SUps8yQZdpSgwkjsnw1J9UOyQiIqKUlvQlSp1Ohz179qCq\nqgqyLGPDhg1YsGABdu3aBQDYuHEjVq9ejbq6OpSWlsJkMmHv3r3D1gWAzZs3Y+3atbDZbCguLsb+\n/ftH4WUSqcPz/gkochwhpwe6LBMHDo8CQ8EM+C9cRmzAj65jH8L8+B9wDAYREVGSJDGJpuSQJIkz\njNCEIYRAy/+3A/5LV+D96GNkfaKIU4qOAhGPo6exBenTc5D10FzM/1Y1sh+ap3ZYREREY2qsznO5\nAjHRGBk4ewGRnj6EnN2QdDqkc8XhUSFprw4k7umDEpPRVfeB2iERERGlLCYDRGOkq+4DKNEYIj19\nMJjzIGn43220GGfNBBQFYVc3+lrOIdrXr3ZIREREKYlnJ0RjINrXD+/pVoTdHkAIGDhweFTpMozQ\nT8tGyOWBiMfRdexDtUMiIiJKSUwGiMaAu64RIh5HyNUNfU42dEaD2iFNOsZZM6FEIoj09qP7WBMU\nWVY7JCIiopTDZIBolCmxGLqPNSHS44USicI4K1/tkCaltLwcaNLTEHZ2IeYPoPf4abVDIiIiSjlM\nBohGWc8HH0EOhhBydkFjSEfa9GlqhzQpSZIEY8FMRL0+xINhDiQmIiJKApMBolEkhIC7tgGyP4hY\nvw/GWTM5B/4YMphnABIQcnbB32ZH4LJD7ZCIiIhSCpMBolHku3AZQYcLoc4uQKPhugJjTJOmR/rM\n6Qh39UDEFbjfblQ7JCIiopTCZIBoFHXVNkCJyQh7emHIz4NGl/Qi3zRCxln5EPE4wm4Peps+QmzA\nr3ZIREREKYPJANEoifR40ddyDmFXN6AoMM7mwOHxoM8yQZeViVCnG0osDncdeweIiIhG6r6Sgbq6\nOixduhQ2mw07d+68bZlNmzbBZrOhrKwM586du2tdn8+HyspK2Gw2VFVVwe9PXOVrbGzEkiVLsHjx\nYqxatQqvvfba/YRONOq6rk0n6rw6nWiGUe2QpowMixnxcASRXi+66j5APBpVOyQiIqKUkHQyEI/H\nsX79ehw8eBBNTU3YvXs3zp49O6TM0aNH0dzcjJaWFuzYsQPr1q27a91t27Zh5cqVaGlpQVlZGbZv\n3w4AKC0tRVNTE06ePIldu3bhW9/6FoQQyYZPNKri4Qi6jjUh4umDEo2yV2CcpeXlQGNIR8jhghwI\noqehWe2QiIiIUkLSyUBjYyNKSkpQVFQEvV6PNWvW4PDhw0PKHDlyBNXV1QCAFStWwOv1wuVyDVv3\nxjrV1dU4dOgQAMBoNEKjSYTr8/mg1Wo5SwtNGN3HmhAPhxF0uKE1GpCWy+lEx5MkSTDOzkdswI+Y\nLwDXm+/zYgEREdEIJD260eFwoLCwcPC51WpFQ0PDXcs4HA50dnbesa7b7YbZbAYAmM1muN3uwXKN\njY342te+ho6ODrzzzju3jWvLli2Dj8vLy1FeXp7sSyQaEUWW4XrrfcS8A5D9AWSWzGGiqgJD/gwE\nL3ci5HBDn2VC/6nzyCl9SO2wiIiIklJbW4va2toxP07SycBIT3ZGcnVOCHHb/UmSNGT78uXL0dra\nimPHjuHJJ59ER0cHtFrtkDo3JgNE46G36RSi3gEEHW5Iej0M+XlqhzQlaXRaGApmItTpRjwchevN\n95kMEBFRyrr5ovbWrVvH5DhJ3yZksVhgt9sHn9vtdlit1mHLdHR0wGq13na7xWIBkOgNcLlcAACn\n04n8/FvvvX7sscdgsVhw6tSpZMMnGhVCCLjeeA+yP4hoXz8yZudD0nCSLrVcG6sRcroxcL6Ni5AR\nERHdRdJnLcuWLUNrayva29sRjUZx4MABVFRUDClTUVGBffv2AQDq6+uRk5MDs9k8bN2KigrU1NQA\nAGpqalBZWQkAaG9vhyzLAICWlhZcuHABc+fOTTZ8olHRf+YCgp3uRK+ARgPDrJlqhzSladPTkD4j\nF2GXB0KW4fz9MbVDIiIimtCSvk1Ip9Nhz549qKqqgizL2LBhAxYsWIBdu3YBADZu3IjVq1ejrq4O\npaWlMJlM2Lt377B1AWDz5s1Yu3YtbDYbiouLsX//fgDAsWPH8Nxzz0Gv1+Ohhx7CoUOHkJ2dfb+v\nn+i+uN54F0okioinF8ZZ+VxkbALIsBYg0t2LYGc3pJNnEOzsQgZndyIiIrotSUyiKTckSeIMIjRu\n/G0dOPPP/wH/JTtCzi5Mf2QhtIZ0tcMiJHpsYgN+5D1qw4yyxShe95TaIREREd2XsTrP5c3NREnq\nfPVtiJiMsNuD9BnTmQhMIBmFsyBkGWFnN3qbTiHc3at2SERERBMSkwGiJPjbHfCePo+gwwURjyOj\nsEDtkOgG+iwT9DnZifaRZbhe59gBIiKi22EyQJSEzqO1EDEZIWc30mdMhy7DqHZIdJOMwllQYjGE\n3D3orj+JaF+/2iERERFNOEwGiO5R4PK1XgF3olfggVlqh0S3oc/OhD47E8EOF0RMhvONd9UOiYiI\naMJhMkB0jxxH377aK9DFXoEJTJIkGK2zoEQiCHf1oPvdJvYOEBER3YTJANE9CFx2wHvq4+u9AoXs\nFZjI0nKzocsyIWDvhBKJwnG0Vu2QiIiIJhQmA0T3wPFK7dBeARN7BSYySZJgmmOBEoki5OyGp/4k\nwm6P2mERERFNGEwGiEZooLX9phmE2CuQCtJyshMzC3W4oMRkdLz8ltohERERTRhMBohGQAgB+3//\nHkokimBnF9Lz89grkEJMcyxQYjEEHW70Hj+FgN2pdkhEREQTwn0lA3V1dVi6dClsNht27tx52zKb\nNm2CzWZDWVkZzp07d9e6Pp8PlZWVsNlsqKqqgt/vBwC8/vrrWLZsGWw2GyorK3HsGOcNp/HTe/w0\nApcdCFx2AABMD8xWOSK6F/osE9LychFyJGYWchz5X7VDIiIimhCSTgbi8TjWr1+PgwcPoqmpCbt3\n78bZs2eHlDl69Ciam5vR0tKCHTt2YN26dXetu23bNqxcuRItLS0oKyvD9u3bAQAzZ87Eyy+/jJaW\nFnznO9/Bn/zJnyQbOtE9UWQZHYffgOwPItzdC+OsfK42nIJMD8yGiMcR7HDBe6YVA63taodERESk\nuqSTgcbGRpSUlKCoqAh6vR5r1qzB4cOHh5Q5cuQIqqurAQArVqyA1+uFy+Uatu6Ndaqrq3Ho0CEA\nwOLFi1FQkFjl9Q//8A8RDocRi8WSDZ9oxLrf+RCRnj4E2jsgabVcbThF6UxGpOfnIejsQjwcxZXf\nvAqhKGqHRUREpKqkkwGHw4HCwsLB51arFQ6HY0RlOjs771jX7XbDbDYDAMxmM9xu9y3H/tWvfoWV\nK1dCr9cnGz7RiMjBEByvvo2odwBR7wAyCmdBo9OpHRYlyTTHAgAItNkRdLjQfaxJ5YiIiIjUlfRZ\njSRJIyonhBhRmdvtT5KkW7afPn0a3/ve9/D666/fdl9btmwZfFxeXo7y8vIRxUl0O46X34LsDyDQ\n1gGNIR3GWTPVDonugzY9DabCWQhcdiDmHUDH//wvpj/ySehMGWqHRkRENERtbS1qa2vH/DhJJwMW\niwV2u33wud1uh9VqHbZMR0cHrFYrYrHYLdstlsQVO7PZDJfLhYKCAjidTuTn5w8p98d//MfYv38/\n5s6de9u4bkwGiO5H4LIDXe98gJCzG3IgiOz58yBpOAFXqjNazAi5PfBfskM/LQuOl9/CnD/9otph\nERERDXHzRe2tW7eOyXGSPrNZtmwZWltb0d7ejmg0igMHDqCiomJImYqKCuzbtw8AUF9fj5ycHJjN\n5mHrVlRUoKamBgBQU1ODyspKAIDX68UXv/hFPP/88/iDP/iDZMMmGhGhKGg/8Ari4QgClx3Q52Qj\nLS9X7bBoFEgaDTLnWiEHQwg5u9F17EMEO1xqh0VERKSKpJMBnU6HPXv2oKqqCo888gjWr1+PBQsW\nYNeuXdi1axcAYPXq1bDZbCgtLcWzzz6LvXv3DlsXADZv3oz3338fNpsNDQ0N+Id/+AcAwE9+8hNc\nvHgRW7duxZIlS7BkyRJ4PFxJlMZG97tNCFx2wN9mhxACmcUPjPjWOJr40qbnQJ+TjcCVTiiRKC7/\n+pUR3dJIREQ02UhiEn0DSpLEL3S6bzFfAB9tfQEhZxe8p84jo3A2THO4rsBkIwdD6DtxBoaZ05H1\n4FzM+T9fhPnTy9UOi4iI6LbG6jyXN0AT3eTKf70GORCE7+IVaAzpnEp0ktJlGJFhLUC4qwfRvn50\nHHodkR6v2mERERGNKyYDRDfoPXkGPR+0INDhQjwURlbxAxw0PIllFM6CNsMI34XLkIMhtP/qCHsX\niYhoSuFZDtFVsQE/2n/5P5B9AQTtTqTPzENa7jS1w6IxJGk0yPrEHCjRGPztHeg/exGe90+oHRYR\nEdG4YTJAhMRaF+2/PALZ58fA+XZo9HpkFhfevSKlPH1WJoyz8xF2eRDr9+HKf/0O0b5+tcMiIiIa\nF0wGiAB43j+Bvo8+hr/dgXgohKxPFHGl4SnE9MBsaA1p8LW2Q/YHcHHvb6HE42qHRURENOaYDNCU\nF+7qwZXfvoaY14dQZxeMs/ORlputdlg0jiStFlkPzkU8EoXvwmX4Ll6B4+U31Q6LiIhozDEZoCkt\nHoniwn8cgOwPYKC1DVpjOkxzLGqHRSrQZ2fC9MBsRDy9CDm74fz9MXhPt6odFhER0ZhiMkBTlhAC\nbb84jKDDhYGPL0GJych6cC4krVbt0EglRmsB0nKnwd9mh+wP4lLNQUS9A2qHRURENGaYDNCU5X7z\nffQeP4XAZQei3gFkFT8AfZZJ7bBIRZIkXR0vosXAx5cQG/Djwou/hhKLqR0aERHRmGAyQFPSwPk2\n2A+9joinD8EOFwwFM2Ewz1A7LJoANGl6ZD00D/FwBAPn2+C/ZMelmv/m+gNERDQp3VcyUFdXh6VL\nl8Jms2Hnzp23LbNp0ybYbDaUlZXh3Llzd63r8/lQWVkJm82Gqqoq+P1+AEBvby8+85nPICsrC9/8\n5jfvJ2ya4oIdLrTuegmyPwhfazt0WZnInMdpROm6tGlZMM21ItrTB3+7Hb0nTqPjyBtqh0VERDTq\nkk4G4vE41q9fj4MHD6KpqQm7d+/G2bNnh5Q5evQompub0dLSgh07dmDdunV3rbtt2zasXLkSLS0t\nKCsrw/bt2wEABoMB27dvxz//8z8nGzIRIp4+nP+3XyDWPwDv6fOQtBpkz5/HVYbpFhmzzTDOzkfI\n4R4cUNz9bpPaYREREY2qpM+AGhsbUVJSgqKiIuj1eqxZswaHDx8eUubIkSOorq4GAKxYsQJerxcu\nl2vYujfWqa6uxqFDhwAAGRkZ+NSnPoX09PRkQ6YpLjbgx8c/2YdITx+8p1sh5DimPfwJaNPT1A6N\nJijT3EKkTc+B/9IVRHv70f7Sy+g9cUbtsIiIiEZN0qsqORwOFBZev7XCarWioaHhrmUcDgc6Ozvv\nWNftdsNsNgMAzGYz3G73kH1KkjRsXFu2bBl8XF5ejvLy8nt6XTQ5yYEgzv/0Fwi5PPCeuYB4OIJp\nn/wEdJkZaodGE5gkSch+aC68LR9j4ONLmKb7BC7u+Q3wzFcwfekn1Q6PiIgmsdraWtTW1o75cZJO\nBu52Un7NSAbdCSFuuz9JkkZ8nGtuTAaIACDa78P5n+xHsMOJgXMXIfsDyJ4/D2nTstQOjVKApNUi\n+5Ml6P/oPPpPt2Law5/Axb2/BQAmBERENGZuvqi9devWMTlO0rcJWSwW2O32wed2ux1Wq3XYMh0d\nHbBarbfdbrEkFnoym81wuVwAAKfTifz8/GRDJELE04dz/7IHAbsT3tMXEO3rR2bxHKTn5aodGqUQ\nbVoappU+CE2aHv1nWhHt68fFvb+Fp7FZ7dCIiIjuS9LJwLJly9Da2or29nZEo1EcOHAAFRUVQ8pU\nVFRg3759AID6+nrk5OTAbDYPW7eiogI1NTUAgJqaGlRWVg7ZJ6f3o5EKOtw4+6PdCDm74D31MWID\nPmQ9OBfGAk4hSvdOm5aGnNKHoElPQ//pC4j29uNSzUE4XnmLn0tERJSyJHEf32Jvv/02nn32Wciy\njA0bNuBb3/oWdu3aBQDYuHEjAOC73/0uXnnlFZhMJuzduxcLFiy4Y10gMbXo2rVrcenSJRQXF2P/\n/v3IzMwEABQVFcHn8yEajSI3Nxe///3vMX/+/OsvRpL4pUwAgJ6mU2j7xSHIvgC8p1sRD0eQPX8e\n0qfnqB0apTglGoP31HnEQ2FkFc+BoWAGpi9diLlrvwxtGgejExHR2Bir89z7SgYmGiYDpMTj6Dj0\nOlxvvo9Yvx8D5y5CKAqyHy7hGAEaNYosY+DcJcS8A8iwFMBUZIWpyILiZ74Cw8zpaodHRESTEJOB\nEWAyMLVFPH24tP+/4btwGaFON/xtHdAa0pE9vxg6k1Ht8GiSEULAf8mOsLMLadNzkP1gEXQmEx74\nyucx4w+W3PPkB0RERMNhMjACTAamJqEocL9Vj46X30Q8GIbv4mVEunuRNj0HWQ8WQaNLetIsorsK\nObvgv2SHRq9H9oNF0OdkI9c2H0VfrYA+y6R2eERENEkwGRgBJgNTT8DuxOWXXoa/vQPRXi98F65A\nicVgemA2jNYCXp2lcRHzBeA734Z4KAKjJR+ZcyzQZmTAsvrTyP/0ciakRER035gMjACTgakj3N0L\nx8tvoufDj6DEZPgvXUGkuxfaDCOyPlHEK7I07kQ8Dn+7A2FnF7RGAzLnFiJt+jQYzTNQWPVZTFv4\nIJNTIiJKGpOBEWAyMPmF3R643qpH93vHoURjCHW6EexwQSgKMgpnIcNaAEmT9Iy5RPct2tcP/yU7\n4qEw0nKnIXNuIbQZBpgKZ2HWZ/8QuYsX8D1KRET3jMnACDAZmJyEEBg4ewHutxrgPdMKKApC7h4E\nr3RCicWQNj0HpiILdBkcJEwTg1AUhJxdCF5xQigKDDPzkGEtgDbDAEN+HvIfW4a85YvYg0VERCPG\nZGAEmAxMHkIIBO1O9Hz4EXqbTiHqHUj0BDi7EHZ5oMRi0E/LgmmOBfrsTLXDJbotJRpDsMOJkMsD\nCIH06TkwWszQZ2dC0mqRs/BB5C23YdqCEmjTuUYBERHdGZOBEWAykNri4QgGzrdh4OxF9J+5gLCn\nF1AURL0DCHf1ItLTBwiBtOk5MM7Oh35aFu/BppRwLZENObsg5Di0GUYY82cgPX86NGl6aPQ6ZD84\nDzmlDyL7oXlInzmd720iIhqCycAIMBlIHYosI9zVi6C9E/62DgTaOxDs7IKIxyHiiQQg2utFpMcL\nIcuQdDoY8vNgmDUTOqNB7fCJkqLIcUQ8vQi7eyD7/IAkQZ+dhfTp05CWlwOtIR0AkJadhcziB5A5\n14oMawEyrAXQmTJUjp6IiNQ0IZOBuro6PPvss5BlGRs2bMA3v/nNW8ps2rQJr7zyCjIyMvDzn/8c\n8+fPH7auz+fD2rVrcenSJRQXF2P//v3IzEzcBvLCCy/gxRdfhE6nwwsvvIDHHnts6IthMjBhCCEQ\nD4UR6/cj2pc4qY/0eBHp7kXI1Y1wdy9EPJ4oK8cR8wcg+wKIegcQG/ADQkDSapGWl4P0GdORlpM1\n6oMumxzteMRSNKr7pMlpLN4rcjCESFcvIr1exIMhAIDWaIA+Owv6aZnQZ2dBa7h+61BaTjaMBTOQ\nPmM6DDPzkDYjB2k505CWk5W47YiDkieM2tpalJeXqx0GpQC+V+hejNV5btKTX8fjcaxfvx5vvPEG\nLBYLHn30UTzxxBNYsGDBYJmjR4+iubkZLS0taGhowLp161BfXz9s3W3btmHlypU4dOgQnn/+eWzf\nvh3PPfcczpw5gz179qCpqQkOhwNPPPEEzp8/Dw2/AO9q8I0jBISiXP0thj6PKxCKkvh99eq8IssQ\nchwiLkOR41CisSE/8XAE8UgE8VAE8VAYciAIORCCHAghNuCDEpOHBqIoiIejkENhxIMhyMFE2Xgo\nDFyNUWfKgNFiRlpO9pif4BzvvMxkgEZkLN4rugwjdEUWmIosiIcjiPR4EfMOXO056AYAaPR66ExG\n6EwZCJuMCPz/7N17cJz1nef7d9+vul9aN4PACkQECzDGVvASO5czNZNJNHaldsfMxtiwS9jZUyRk\napeFXTIHTqjZUJstBpjNFlsBx7hmB2q3XNgHHDYzIbK5WBIYYgffEFjGUrfUuvb93v2cPxoLG2xZ\nGMltSZ9XIVB3P79+vq166O7P8/s9v9+pAFaXE5Pt7Lduk9mM1ePG6nVj87qxetxYXE4sbmfxv3Yb\nZrsNi9OByWbFbCsOTTJbrZisFkxWK2aLGZPFgsliBrMZk9mMyWw6+3eT6ZP/J00mDWU6D33Bk9nS\nsSKXg4sOA319fbS1tdHa2grApk2b2LVr11lhYPfu3WzZsgWANWvWEAqFGBkZYWBg4Lxtd+/ezd69\newHYsmUL69ev52c/+xm7du3i9ttvx2az0draSltbG319fXR2dp5d1//9/1zsS5KLUShQyBWKgSGb\nx8jlKORynwoOGfKpDIVMFpg50eZTafLDY6SGx+a99MTwMOO5d+d9P7LwXcpj5cyzPoVslkwoSyYU\nOWsbk9WKxWEvXm/gsGNx2Itf6G3FH5PVitlqKX65t1ouSd3yCf9be+kb02eRXJiOFbkcXHQY8Pv9\nLFu2bPp2S0sLvb29F9zG7/cTCATO2zYYDOLz+QDw+XwEg0EAAoHAWV/8Tz9XyV2SUUkz7MQ4/+OG\nwfQZdzCmNzNOt/n4McP4+Hfjk9+LPQeF4u1CoXi7UKBQKMB0L0K+eP8MzB+fkbR6L78pFK3RQZy+\n2lKXIQvA5X6sFLI5yObIJz/7mMlkAosZs9kClk+d8beYi4+fPst/5u9mE2DCZIKP/3X6nzP/9fFj\n0//59N7P+s85H7uU1JEhIvIZFx0GZts9PJuxTYZhnPP5TBfohj7XY2t+8f/Oqi4RgOc++H2pS5AF\nQseKfB6/fGtvqUuQBULHipTaRYeB5uZmBgcHp28PDg7S0tIy4zZDQ0O0tLSQzWY/c39zczNQ7A0Y\nGRmhoaGB4eFh6uvrz/tcp9ucpouHRURERERm76Kvzly1ahX9/f2cPHmSTCbDCy+8QFe6rDO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jLqGsrJZPIMD04Rj6V5Z/8JDvad1GxDIiJzZFbrDOzdu5f77ruPXC7H3XffzQ9/+EOefvppAO65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\nhLHhMKPDEVLJYtdyOp0lEcuQi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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "\n", "import pymc as mc\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 = mc.Normal( \"true_price\", mu_prior, 1.0/std_prior**2 )\n", "\n", "\n", "prize_1 = mc.Normal( \"first_prize\", data_mu[0], 1.0/data_std[0]**2 )\n", "prize_2 = mc.Normal( \"second_prize\", data_mu[1], 1.0/data_std[1]**2 )\n", "price_estimate = prize_1 + prize_2\n", "\n", "@mc.potential\n", "def error( true_price = true_price, price_estimate = price_estimate ):\n", " return mc.normal_like( true_price, price_estimate, 1/(3e3)**2)\n", "\n", "\n", "model = mc.Model([true_price, prize_1, prize_2, price_estimate, error ])\n", "mcmc = mc.MCMC(model)\n", "mcmc.sample( 50000, 10000) \n", "\n", "price_trace = mcmc.trace( \"true_price\" )[:]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 50000 of 50000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "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, normed= 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\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 28, "text": [ "" ] }, { "output_type": "display_data", "png": 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ColVx7927F0uXLoVMJkOPHj2wdetWAICrqys++ugjvPHGGzAyMsKqVauwfft2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\n1ak9H3/8MYsWLeLAgQMA+Pj48PDDD5OYmMitt97qrFBFG5C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} ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that because of our two observed prizes and subsequent guesses (including uncertainty about those guesses), we shifted our mean price estimate down about $15 000 dollars from the previous mean price.\n", "\n", "A frequentist, seeing the two prizes and having the same beliefs about their prices, would bid $\\mu_1 + \\mu_2 = 35000$, regardless of any uncertainty. Meanwhile, the *naive Bayesian* would simply pick the mean of the posterior distribution. But we have more information about our eventual outcomes; we should incorporate this into our bid. We will use the loss function above to find the *best* bid (*best* according to our loss).\n", "\n", "What might a contestant's loss function look like? I would think it would look something like:\n", "\n", " def showcase_loss( guess, true_price, risk = 80000):\n", " if true_price < guess:\n", " return risk\n", " elif abs( true_price - guess) <= 250:\n", " return -2*np.abs( true_price )\n", " else:\n", " return np.abs( true_price - guess - 250 )\n", "\n", "where `risk` is a parameter that defines of how bad it is if your guess is over the true price. A lower `risk` means that you are more comfortable with the idea of going over. If we do bid under and the difference is less than $250, we receive both prizes (modeled here as receiving twice the original prize). Otherwise, when we bid under the `true_price` we want to be as close as possible, hence the `else` loss is a increasing function of the distance between the guess and true price." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For every possible bid, we calculate the *expected loss* associated with that bid. We vary the `risk` parameter to see how it affects our loss:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 7 )\n", "#numpy friendly showdown_loss\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 );\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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YDBgwAP7+/oiMjFT4UbEDBgyAt7c3hgwZghUrVsDV1RX5+fk4efIkNDU1MX78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\nG01PoCohFLsfxeiEeBMifADF6EAZFSqMTipR/YU4yuowC2YTzi6i1xWgT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} ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### 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", "collapsed": false, "input": [ "import scipy.optimize as sop\n", "\n", "ax = subplot(111)\n", "\n", "\n", "for _p in risks:\n", " _color = ax._get_lines.color_cycle.next()\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 )\n", " plt.scatter( _min_results, 0, s = 60, \\\n", " color= _color, label = \"%d\"%_p)\n", " plt.vlines( _min_results, 0, 120000, 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)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "minimum at risk 30000: 14629.68\n", "minimum at risk 54000: 13319.39" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 78000: 12716.49" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 102000: 12281.71" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 126000: 12281.71" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 150000: 10972.57" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "pyout", "prompt_number": 28, "text": [ "(-1000, 80000)" ] }, { "output_type": "display_data", "png": 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+/fVX+uuvvyg+Pp7Wrl1LIpFIWK34xYsX5OrqShMmTKC0tDRKS0ujkpKSSnVc\n/rlVq1a0ZcsWio+Pp19//ZU4jlO4LkaNGkV2dnZ0+fJlevjwIU2ZMoX09PTIw8Oj2muBYZjmizUW\nGIZRmufPn5NYLKbDhw8LYR9++CH17du3xuO6dOmi0AiwtLSkwYMHV9qvYmMhJiaGOI6jM2fOKOzT\nvXt3mjp1KhHVrbHw+++/k66uLuXk5NS5nAMGDCA7O7tK4RUbC1lZWcRxHF2+fLnKOMrzFhAQQOPH\njycHBwdKTk6uNe2XbygnT55MEyZMUNinqKiINDU16dixY0REtGHDBjIwMBBuCIuLi8nAwIA2bdpE\nRESXLl0iDQ0NevHihUI8U6ZMobFjxwqfK95I1ve85efnk7q6Oq1fv14h/O2336aBAwcqlKequq/o\nq6++IgsLC5JKpULY/fv3ieM44Ya8IcpcXkfffPONwj6Wlpa0ceNGhbDAwEDiOI6ys7Nrrfvk5GTi\nOI4CAwMVwqtqLHAcR/fv3xfCVq1aRRzH0d27d4Wwn376iYyMjGo4Y0RjxowRrk0iosGDB9OUKVMq\n7VdVY2Hu3LkK+3Ts2JH+97//ERFRdHQ0cRxHFy9eFLZLpVKysLBgjQWGaaFYNySGYZRGT08Po0eP\nFhYTk0qlOHDgACZNmiTsk56ejjlz5qBjx47Q19eHtrY2Hj58qDDrDcdxcHZ2rjGt8PBwAFAYIFr+\n+eHDh3XO85AhQ2BtbQ0rKyu8//772Lx5MzIzM2s9rkePHjVu19fXx/Tp0zF06FB4enri+++/R3R0\ndKX9pkyZgrCwMAQFBcHc3FwIv3r1KrS1tYWfl7t+lAsODsbRo0cV9jUyMkJxcTFiY2MBAO+99x4K\nCgpw6tQpAMCpU6dQUFAALy8vIY6SkhKYmZkpxLN3714hjtc9b7GxsSgpKXnt+gKAhw8fok+fPgqD\nyTt37gxdXV0hroYsc8VrMT09HUlJSZg3b57CcZ6enuA4DrGxsXWu+7rgOA5OTk7C51atWgnlrRiW\nmZkpjIEoKCjA/Pnz0alTJxgaGkJbWxt//PHHK88s1bVrV4XPbdq0wbNnzwD883vYp08fYbtIJELP\nnj1fKS2GYZoeaywwDKNUkyZNwtmzZ5GRkYHTp08jPz8fEyZMELb7+fnh2rVrWLVqFYKCghAaGoqu\nXbuipKREIR4tLa1XSp8qDBrleb5SGFDWiKmYzp07d3D06FF06NABGzZsgI2NDe7evVttGhzH1Sl/\nmzZtQkiv8gcuAAAgAElEQVRICDw8PBAYGIhOnTph06ZNCvuMHDkSCQkJOHPmjEJ4r169cP/+feGn\nqrEg5WWbNGmSwr73799HdHQ0pk2bBqCs4TJq1Cjs2rULALBr1y6MGTMGOjo6AAC5XA5dXd1KcURE\nRFTK1+uct4bCcVylOn1ZQ5a5Yl3L5XIAwJo1axSO++uvvxATE4NOnToBqFvd1wXP8wqrtpf/X0VF\npVJY+Tn57LPPsHfvXixevBiXL19GaGgoPD09UVxcXO/0AUBNTa1SWPl5eDkP5WqrH4Zhmi82GxLD\nMEo1ZMgQGBgY4MCBA7h48SJGjRqlMBXj1atXsWrVKowcORIAkJ+fj7i4OIWnp3VRPltOYGAghg8f\nLoRfuXJFeOpvbGwMAAqDbp89e1ZpEC7P8+jfvz/69++PJUuWwMHBAfv27UP37t3rlafq8uno6Ih5\n8+Zh9uzZ2LRpk8JaDD4+PnB1dcXkyZNRWloqvIXR0NAQBr7WpGfPnrh//36t+06ePBnjxo1DdHQ0\nzpw5ozCQt1evXsjOzkZhYWG9ZiGqz3mzsbGBuro6AgMD4eDgIIQHBgZWqvuXbzxf5ujoiO3btyvM\nTHT//n28ePFCuFlXVplbtWoFCwsLREZGCo2xmvJZVd2X33zLZLI6p1sfV69eha+vL8aPHw+g7MY+\nKioKpqamwj5qamooLS19pfgr1k95XV6/fl0YkF5aWoqQkBDY29u/ahEYhmlCrLHAMIxSiUQieHt7\nY926dYiPj8dvv/2msN3Ozg579uyBi4sLSktL8fXXX0Mulys8iazuqWTF8Pbt2+Pdd9/FnDlzsHHj\nRrRt2xbr169HeHg4Dhw4AAAQi8VwcXHBypUrYW9vD6lUigULFkBdXV2I5/jx40hISED//v1hbGyM\nkJAQJCcn13gDSWXjv2oMj42NxebNmzF69GiYm5vj6dOnuHr1apXdl7y8vKCqqgofHx9IpdJab0Ir\n+vLLL+Hs7AxfX1/MnTsXRkZGSExMxPHjxzF37lxYWVkBAIYNGwZ9fX14eXnBwMAAw4YNE+IYOHAg\nBg8ejHHjxmHlypVwcnLC8+fPcf36dYjFYkyfPr1SuvU9b5qamvjPf/6DhQsXwtjYGJ07d8aRI0dw\n4sQJXLhwodJ5rMlHH32En3/+GX5+fvjyyy/x/PlzzJkzB66urnBxcRH2a+gyl1u+fDmmTZsGfX19\njB49GqqqqoiIiMDZs2exYcOGWuveyMgIEokEf/75Jzp27Ah1dXXo6+vXWOb6sLOzw7FjxzBu3Dho\naWnhxx9/REpKClq3bi3sY2VlhUuXLiE+Ph46OjrQ09Or8xohFa9zW1tbjBo1Ch9++CE2btwIIyMj\nrF69Gjk5ObU2+hiGaZ5YNySGYZRu8uTJiIyMhJ6ensJTfwDYvn075HI5nJ2dMW7cOHh6eqJXr15V\ndrV42cvhW7ZswdChQ+Hr64uuXbvixo0bOHXqFDp06CDss23bNkgkEvTt2xfe3t6YNWuWwhNWAwMD\nnDx5EsOHD4ednR3mz5+PhQsXYsqUKdWWj+O4KvNYMVwikSA2NhYTJkyAnZ0dxo8fDxcXF/zyyy9V\nlmfcuHE4dOgQPv74Y2zYsKHatF8+zt7eHtevX0deXh6GDh0KR0dHzJw5E0VFRQrrPqioqMDb2xt/\n/fUXvL29hS5a5U6cOIFx48Zh3rx56NixI0aOHIkzZ87Axsamyjy8ynlbvnw5ZsyYgf/+979wcnLC\nvn37sHfvXri7u1d5DqtjYmKCc+fO4fHjx+jVqxdGjRolND4qaogyV5UXX19fHDp0CKdOnULv3r3h\n7OyMJUuWCGNOaqt7nufx66+/4tChQ7CwsFBoQL6cXnXXWU1hP/30EywtLeHu7i4svjZ+/HiFffz9\n/WFkZIQuXbrAxMSkXiuJv1xH27dvR6dOnTB8+HAMHDgQ5ubmGDJkSJOvGcEwzKvhiHUkZBiGYRhG\nSWQyGezt7TF27FisWrWqqbPDMEw9NdqbhW+//RaOjo5wcnKCt7c3iouLkZWVBQ8PD3To0AFDhgxB\ndna2wv62trawt7dXWLQoJCQETk5OsLW1xdy5c4Xw4uJieHl5wdbWFn369MGjR48aq2gMwzAMw/zt\n6tWrOHLkCOLi4hAaGoqpU6ciKSkJfn5+TZ01hmFeQaM0FhITE7F582bcvXsXDx48gEwmw4EDB/Dd\nd9/Bw8MD0dHRGDRokDAVYHh4OA4ePIjw8HCcPXsWc+bMEfpDzp49G1u3bkVMTAxiYmJw9uxZAMDW\nrVthaGiImJgYzJs3D1988UVjFI1hGIZhmApkMhmWL1+Orl27YuDAgUhMTMSlS5fqNXCcYZjmo1Ea\nCzo6OlBVVUVBQQFKS0tRUFCANm3a4MSJE5g8eTKAsj7Nx44dA1A2UO7999+Hqqoq2rVrBxsbG9y6\ndQspKSnIzc0V5rieNGmScEzFuN555x0EBAQ0RtEYhmEYhqnAzc0N9+7dQ25uLrKyshAYGIi+ffs2\ndbYYhnlFjTIbkoGBAfz9/dG2bVuIxWIMHToUHh4eSEtLExaUadWqFdLS0gAAT58+VVjQxdzcHE+e\nPIGqqqrCIkVmZmbClIdPnjyBhYVFWaFEIujq6iIrKwsGBgbC/qwBwTAMwzAMw7yJBg0apJR4G6Wx\nEBcXh//7v/9DYmIidHV18e6772LPnj0K+9RlxouG0BDzpDO1+/777xu9K9iz038hLzwFxp5O0HZs\n06hp10X8J0YQy+XQXvQXJPrmtR8A4MCmW3ic+BxeM5xhYWVQ+wHVpb12N6KXr4fVR76w+2rOK8ej\nLF/8EYt7T3Px3fD26G6mU+O+TXFtMf8er3t9pZ97iNz7j6HT1QJGHg61H/AapE8fImOVK8CrwnhB\nMEQGFkpNT9nCk0Kw/NAcyOSlmDNiKVwdRzR1lhoc+/5ilEWZC2A2SjekO3fuoG/fvjA0NIRIJMK4\nceNw48YNtG7dGqmpqQCAlJQUmJiYACh7Y5CcnCwc//jxY5ibm8PMzAyPHz+uFF5+TPnS9aWlpXjx\n4oXCWwWmcZXXRaPiOIBvnEbnq5CDR32XPOJVOPAqDVAengOnKgJXYZXX5kSFB0Q8Bw61l7VJri3m\nX+N1ri9ZoRR5D58CAHS6t22oLFUr9/Q3ABE0Xaa0+IZC+oun+On455DJSzGyl+8b2VAA2PcX0zI1\nypsFe3t7LFu2DIWFhdDQ0MCFCxfg7OwMLS0t7Ny5E1988QV27tyJsWPHAgBGjx4Nb29vfPLJJ3jy\n5AliYmLg7OwMjuOgo6ODW7duwdnZGbt378Z//vMf4ZidO3eiT58+OHLkiNJexTDNl4mnE0w867fq\nb2Oy+fFZvY95b5pzg6Rt/aEvrD/0bZC4lGHFsKrn7meYliT3r2RQqRzidoZQM5QoNa2S+Fsofvgn\nODUtSDw+UWpaylZUUohVv3+C3MJsdLF6C94D/tPUWWIYpoJGaSx06dIFkyZNQs+ePcHzPLp3746Z\nM2ciNzcX7733HrZu3Yp27drh0KFDAMqWi3/vvffg4OAAkUiEdevWCU+L161bBz8/PxQWFsLT01NY\ngXPatGmYOHEibG1tYWhoKKzYyjSN999/v6mzwLyh2LXFKNOrXl8kl+PFvbI34ro9LBsyS5XTIkLu\n6WUAAC232VDRNlZqesokJznW/7EISekxMNW3xH9GfQueb55vQBsC+/5iWqJ/1aJsAQEBbMwCwzAM\n0+DyolLx7MR9qOprwnxaP6V2hyyKCMDzje+C09SHycJ74MU1j/Npzn67thmHr22AWE2C5ZN2oo1B\nu6bOEsO0SHfv3m3ZA5xbgszMTBQXFzfb/u4tzYsXL6Crq6uUuIkI6urqMDQ0VEr8TPMWFBSEfv36\nNXU2mDfUq15fL0LKFgLV6WGp1L8jJJcLbxUkg//bohsKt6Mv4fC1DeDA4T+jlv8rGgrs+4tpiVhj\nAUBeXh4AoE2b5jeDTktlamqq1PgzMzORl5cHiUS5/YIZhmFqU5z6AsVPssGri5Q+E1vR/RMoffwX\neF1TaPWbrtS0lCkpPQa/nl4IAHh/wMfo1p7dQDNMc9UosyE1dzk5OWzmpBbGwMAAOTk5CmEkl4Nk\ncpC8efaskxbnQ1qcD7lcXudjZDI5ZKWvXyaSySAvkUJeWt/5mBpHqZwglckhr0OvSPZUjlGm13mr\noN3ZHLya8p7BkawUuX+sAABIhn4GTk2stLSUKafgOX743R/F0kL0cxiOUc6TmjpLjYZ9fzEtEWss\n/I11P2pZqqqv9DNhSPjxPPIiUpogR7VL/p8lMr6wQMGLp3U+5vDWYPz09Tk8fvT8tdJOWLcP59oO\nQMx3m14rHmVZcDYOI7bfR+jT3KbOCsPUS2leMfIiUwEO0Omm3OlSi0KPQZYeCxUja2j29lFqWspS\nKpPi/47Px7MXT2Dd2gEzh37F/v4yTDPHGgtgDYWWitXbv1NQUFBTZ4F5g9X3+sq5nwzICZo2JlDV\nVe6T/vygrQAArYEfgVNRVWpayrLr4o8IT74DPS0jfPr2aqipajR1lhoV+/5iWiI2ZoFhGIZhXgGV\nypEb2jjTpUqfPoQ04RY4dW2Ie4xXalrKEnD/KM7dOwSRiir83/4BBtomTZ0lhmnWZDI5iotKUVQo\nRXGhFEWFpSgukqJUKodcLodMRpDLyv4VKXEIJ2ss1MDIyAiOjo4gIqioqGDlypXo1atXU2erWjk5\nOThy5AimTp0KoGxV7C+//BLbt29XWpr79++Hu7s7WrduXeu+O3bsgFgshpeXV5Xbv//+e0gkEnz4\n4YcNnU3mDcL6/DLKVJ/rKy8yBbKCEqgZa0PDXF+JuQIKrm0DAIh7eYFXb3kTO0Q+vodt578DAMwY\nugC2bZrvAprKxL6//n1KS+UozC8pu9kvkqK4sOzmv6hQqtgQKCr9u0HwT7i0RFbndAaOV17jmzUW\naqCpqYnAwEAAwMWLF7F06VKcPHmyiXNVvezsbGzdulVoLJiamiq1oQCUNRY6duxYa2NBJpPBz89P\nqXlhGIZpLEQkDGzW7anc6VLlRbkovHMYAKDpMlVp6ShLRk4Kfjz2GWTyUnj29MGATqOaOksM0yCK\ni0qRm1OEvBdFyMspQm5OMfJeFAlhuTnFKMwveeX4OQ5Q11CFhlgV6mJR2b8aIqiqqoBX4aGiwoFX\n4cHzHICChivYS1hjoY5ycnKgr1/25CgvLw8TJ05EdnY2pFIpFixYgOHDh+O7776Dnp4ePvjgAwDA\nN998A2NjY8yaNQtr167F8ePHUVxcjJEjR+KLL75Afn4+pk6dipSUFMhkMnz22WcYO3asQrq7du3C\nrl27UFJSAmtra6xfvx5isRjPnj2Dv78/Hj0q+2O1evVqbNiwAYmJiRgwYADc3d0xbdo0eHl54fr1\n6ygqKsKnn36K0NBQiEQifPPNN+jXrx/27duHs2fPorCwEImJiRgxYgQWL15cqfyrVq3Cn3/+icLC\nQjg7O+Onn37C8ePHERoailmzZkEsFuPs2bPQ0Pin/+moUaPQuXNn3Lx5E++88w5yc3OFNwcbN27E\njh07IBKJYG9vj82bNwP4ZxzCrl27cOrUKezatUshzhpxHMBzzXYsgxw8SlH3mZAAgFfhwKs0QHl4\nDpyqCJxK81wZVYUHRDwHDrWXlc1TzihTXa+vosfPUfIsF7ymGrTsa3+z+joK7xwGFedBrX1fqJra\nKzWthlZUUogffvdHTsFzOLXrAx+3/zR1lpoU+/5qGUhOKCwoQe6LIuTlFCvc/OflFCH3RdlPXZ78\n8zwHsZYaNDREUBcr3vhraFRsBPyzrfz/amoq4Pi63QPcvXv3dYtdLdZYqEFhYSEGDBiA4uJipKam\n4vjx4wAAsViMXbt2QVtbG5mZmRg6dCiGDx8OHx8fTJo0CR988AHkcjmOHj2KgIAAXLx4EfHx8bhw\n4QLkcjl8fHxw48YNZGRkwNTUFAcPHgSASlOBAmU33JMmlU0rt2LFCuzZswczZszA/Pnz0a9fP+ze\nvRtyuRx5eXlYvHgxIiMjhbchSUlJwo3z1q1bwfM8goKCEBMTg3feeQfBwcEAgLCwMAQGBkJNTQ3O\nzs6YOXNmpTUnZsyYgc8++wwAMHv2bPz5558YM2YMtm7dimXLlqFLly6V8s5xHKRSKQICAgCUdTMq\nz8+aNWsQGhoKVVVVhXITETZv3owrV65g7969UFVVxY4dOwCg1jcTJp5OMPFsvq+2bX58Vu9j3pvm\n3CBpW3/oC+sPfRskLmVYMcymqbPAMPWSE5IEANDpYg5epLxGOBGh4FrZwOaW9laBiLDhzGIkPotC\na30LzB39LVR4dtvBNB+lUhmeZxQg81mewk92VgFkstqn8hapqkBbVx0SHQ1o62qU/aujDomuBrR1\nNCDRUYemRP3vJ/8tF/utrYFYLBZuvIODgzF79mxcv34dcrkcy5Ytw40bN8DzPFJTU5Geng4LCwsY\nGBjgwYMHePbsGTp37gw9PT1cunQJly5dwoABAwAABQUFiI+PR58+fbBw4UIsWbIEQ4cORZ8+fSrl\nITw8HMuXL0dOTg7y8/OFpbyDgoKwceNGAADP89DR0UF2dna1Zbl16xZmzpwJALC1tYWFhQXi4uLA\ncRxcXV2hra0NALCzs0NycnKlxsKVK1fwyy+/oKCgANnZ2ejYsSOGDh0KoOwPQnXefvvtKsMdHBww\nc+ZMeHp6wtPTUwg/cOAAzMzMsHfvXqj8/RScdV9iKmJP5Rhlqsv1JX1RiPzYNIDnoNNVudOlShNu\noTQlArzEGBqdRyo1rYZ27OY23Iy6ALGaFj4b9xMkGi13temGwr6/moa0RIas9DxkPsuv1Cio7hZG\nQ6z6dwNA/Z+GQPlnHQ1IdDWgriFqtr0ZGhJrLNRRr169kJWVhYyMDJw7dw6ZmZm4fPkyVFRU0LVr\nVxQXFwMAJk6ciH379uHZs2fw9f3nSe68efMwefLkSvEGBgbi3LlzWL58OVxdXYWn9+U+/PBD7Nu3\nDw4ODti/fz+uX78ubKvpJr0q1e2vrq4u/F9FRQUymeJrtaKiInz++ee4ePEi2rRpg++//x5FRUXC\n9pp+UTQ1NavMw8GDB3H9+nWcPXsWP/74ozCdnIODA8LCwvDkyRO0bavcP8IMwzCvIudeEkCApGNr\niCTqtR/wGvL/Htis+dZEcCI1pabVkO7EXMbBq+vAgcPHI5fDzNCqqbPE/AuUFJciM71CgyCt7N8X\n2YVAFbdAHAfoG2nC0EQCIxMJDP/+0TfSgqpa8+y22xRYY6GOoqOjIZfLYWBggNzcXBgbG0NFRQVX\nr15FcnKysN+IESOwYsUKyGQybNmyBQAwcOBAfPvttxg/fjy0tLTw9OlTqKmpobS0FHp6enj33Xeh\no6ODPXv2VEo3Pz8fJiYmkEqlOHz4MMzMzAAArq6u2LZtGz744APIZDLk5+dDIpEgLy+vyvz36dMH\nhw8fRv/+/REbG4vHjx/D1tYWoaGhlfZ9uVFR3hAyMDBAXl4ejh8/LoytkEgkyM2t30JaRITHjx+j\nX79+6N27N44ePYr8/HwAQOfOnTF16lR4e3vjyJEjdZplifl3YX1+GWWq7fqSl5Qi96/HAACd7sqd\nLlWWm46i0OMAx0H8VuWHTc1Vcnosfjm1EAAwwfVDdLfp38Q5aj7Y91fDkEplyHqWh/S0PGSm5SLj\n70ZBTnZRlfvzPAd9Yy0YmmgJDYLyRoFIxJYcqw1rLNSgfMwCUHaDu27dOvA8j3fffRfvv/8++vXr\nh27duqFDhw7CMaqqqujfvz/09PSEJ+7u7u6Ijo4Wuu1IJBJs2LAB8fHxWLRoEXieh5qaGn744YdK\nefjyyy/h4eEBIyMj9OjRQ7ip/vbbbzFv3jzs2bMHKioqWL16NXr27InevXvDxcUFHh4emDZtmpCH\nadOm4dNPP0W/fv0gEomwbt06qKqqguMqDwh++bOuri4mTZoEFxcXmJiYoGfPnsK2999/H/7+/lUO\ncK4Kx3GQyWT44IMPkJOTAyLCrFmzoKOjI2zv3bs3li5digkTJuD333/HiRMnALDuSAzDNL288KeQ\nF5dCvY0eNEx1lZpW4a29gEwKdcdhEBlYKDWthpJbmI1VR/1RJC2AS8dhGN3br6mzxLRgcjkhO6sA\nGWm5yEjNQ0ZqLtLTcpGdWXX3IRWV8kaB4psCPUNNqKiwRsGr4qi+fVlasICAAHTv3r1SeEpKCkxN\nTRskDblcDnd3d+zYsQNWVuy1qzK9XG8kl5e9ZuS4Os8e0JikxWUNPRVVMXi+bl9aMllZmXj+9cpE\nMhlIJgd4Dryo+T0jKJVT2XomPAf+X9D/k2mZiAiPt12DNCsfJqO6QKLEWZBILkP6N90hy0qG/sxD\n0HAYrLS0GopMXopvD3+MsEe3YdXKHou9t0BdVbmrWjNvBiJCfm4xMtLykJ5a9qYgIy0Xmc/yUCqt\nPItgWfchLRi11oZxKwmMWmnDsJUEevpi8P/SRsHdu3eFca0NrfndNbRgkZGR8Pb2xsiRI1lDoQmk\nnwlDXngKjD2doO3YpvYDGlny/ywhlsuhvegvSPTN63TM4a3BeJz4HF4znGFhZfDKaSes24fo5eth\n9ZEv7L6a88rxKMuCs3G49zQX3w1vj+5mbBAk0zwVJmZCmpUPFW0NaNkqd/Xh4ogAyLKSoWJoCXX7\ngUpNq6HsD1yLsEe3oatlCP+3V7OGAlOl0lI5nj3N+btR8Pcbg7RcFBZIq9xfW1cDRn83CIxaS2Dc\nShsGxloQqbIxBY2FNRYakL29vVLnuWUYhvX5ZZSrputLWIStmwU4JT+9LF+xWbPvFHB1fBPZlKIe\nh+J08F7wnAo+GbsKRjpsvFlV/o3fXwV5xXiSlI2nj7Lx5NFzpD15UeW0pOoaIhi10oZxawkM//7X\nqJU2NMSqTZBrpiLWWGAYhmGYWpRk5qEwIQOciId257q9GXxVpZmPUBxxHlBRg7i3t1LTagglpcXY\neHYZCISxffxgZ1Z53R3m34HkhMz0PDx5lI2nSWWNg+zMyisLGxproZWZLoz+bhAYtZJAW1fjXzEN\naUvEGgsMw7Qo/7anckzjqu76yrlbtgibxKENVMTKncK04MZOgAjibmOhIjFSaloN4bdrm/A0KxFm\nhlYY99b0ps5Os/amfX9JS0qRkvzi7zcHz/E0KRvFRaUK+4hUVWBqoQuztnpoY6mPNm312NuCFoY1\nFhiGYRimBrIiKXIfPgUA6HZX7vovVFqMwptl02i3hBWb41MjcPL2bnDg8MHwRVBtQWtBMPWXk11Y\n1p0oqaxh8CwlFyRX7FKkrauBNpZ6MGurjzaWejBurc1mImrhWGOBeXNwHMBXngq2uZCDRykqz+pQ\nE16FA6/SAOXhOXCqInAqzXNAmAoPiHgOHGov67+xzy/TeKq6vnIfPAFJZRBbGkDNWFup6RfdPwl5\nXgZEbRyh2q6XUtN6XaUyKTacWQI5yeDZ0we2bZyaOkvNXkv7/pKWyJAYk4GYh2lITshC7gvFdQw4\nnkMrMx20aasHs7/fGujosYHtbxrWWGDeGCaeTjDxbL5/rGx+fFbvY96b5twgaVt/6AvrD31r37GJ\nrBhm09RZYJgqkVyOnLtlA5t1eih3ETagworN/aY12wcf5Y7f3IGk9Bi00jOHV//ZTZ0dpoGUFJci\nPiod0Q/TEB+ZjlKpTNimriFSaBiYWuhCVY3dSr7pWA0zDNOitKSnckzL8/L1VRCbjtKcIoj0NKFp\nbazUtKVPwyGNvwlOXRviHuOVmtbrSk6Pxe83tgAAZg1byKZJraPm+v1VXCRFXEQ6osNSkRiTgdLS\nf96CtzbXRYdOrWBtZwxDY0mzXMeIUS7WiewNM2vWLHTs2BGWlpbo1q0bVq9eLWwLDAxE7969YW5u\njjFjxuDx48cKxy5evBg2NjawsbHBkiVLFLYlJSVh9OjRMDc3R58+fRAYGKiw/ciRI+jcuTMsLCww\nceJEZGdnK6+QDMMwjUSYLrV7W6U/6S+fLlXcywu8ukSpab0OmbwUG84shUxeisFd3oFD255NnSXm\nFRQWlCAs5DF+2xmCX5dfxB+H/0JsxDOUlsphZqkH9xH2mPn5APjOeQvOrtYwaqXNGgr/Uqyx0AQS\nswoR8iQHmflVL0DyOubNm4d79+7h0aNHOHToEDZv3oyAgABkZmZi0qRJWLBgAeLj49G1a1dMnfrP\n4LkdO3bgzJkzuHr1Kq5evYqzZ89ix44dwvbp06ejS5cuiIuLw4IFC+Dn54fMzEwAZYvR+fv7Y9Om\nTYiMjIRYLMann37a4GVjGKCszy/DKEvF66v4WQ6KHj8Hp6YC7U5mSk1XXpSLwjuHADT/gc1/3NmP\nuNSHMNRuBW+3/zR1dlqUpv7+Ksgrxv3byTi8LRjrVlzC2d/CkBCVDpITLKwNMGhUR3ww3w3vz+qD\nHi7t2PgDBgDrhtSootLz8cv1x0jOLkKBVA5DTVV0MBLjc7d20FJrmIGn9vb2Cp9FIhGMjIxw6tQp\nODg4YPTo0QCAL774Ara2toiNjYWNjQ3279+Pjz76CKampgCAjz76CDt37oSfnx9iY2Px4MEDHD16\nFOrq6hg1ahQ2btyIkydPws/PD4cPH8awYcPQp08fAMCXX36JPn36ID8/H1paWg1SLoZhmMZW/lZB\n28kcvLpy/1wW3jkMKs6DmvVbUDW1r/2AJpKSlYRDQesBADOGLoBmM34DwpTJyylCzMM0RD9Mw+OE\nLNDfkxdxPAdLG0N06NQatg4m0JSoN21GmWaLNRYaSVaBFCsuJiIlt0QIyyyQ4kaSFIvPx2PVCNsG\nS+vTTz/FgQMHUFxcjJUrV6JLly44cOAAOnXqJOyjqakJKysrREZGwsbGBlFRUXB0dBS2Ozo6Iioq\nCkDZm4N27dop3Ph36tQJkZGRwvbyhgIAtGvXDurq6oiLi0Pnzp0brFy1IbkcIAAc1yxflUqL8wEA\nKq8dq0cAACAASURBVKpi8HVckVUmKysTz79emUgmA8nkAM+BFzW/X/tSOYGIoMJz4Gvp6tFc+/wy\nb4by60uWX4y8iBQAjTBdKtE/Kzb3m6bUtF6HnOTY9OcySEuL4eo4El2tXZo6Sy1OY31/5eUUIfKv\nVESHpeJp0j/dgnkVDu1sjGDXqRXadzSBWJNNdcvUrvndNbyh9t5LVWgoVBSTUYCw1Dx0at0wT2h+\n+OEHrFq1CteuXYOfnx86d+6M/Px8GBkpLu6jra2NvLw8AEB+fj50dHSq3aatrThdoEQiQVpaGgCg\noKBA4diXj28s6WfCkBeeAmNPJ2g7tmnUtOsi+X+WEMvl0F70FyT6dVsB9vDWYDxOfA6vGc6wsDJ4\n5bQT1u1D9PL1sPrIF3ZfzXnleJRlwdk43Huai++Gt0d3M53aD2AYJcu5/xiQETRtjKGqp6nUtKQJ\nt1GaEg5eYgyNziOVmtbruBD6GyKS70JXyxCTBn7S1NlhqpCVkY/gKwl4eO8J5LKyVwgqIh5WHYzQ\nwbE1rO2N2YJoTL2xxkIjScouqnZbgVSOK/HZDdZYAACO49CvXz+MGTMGv//+OyQSCXJzcxX2ycnJ\ngURSlqaWlpbC9pq2VbU9Jyen2u0M05Ba2jzlTMsSFBQEl7f6Iie0bMVm3e6NMV3qVgCAuI8vuGa6\nqFn6ixTsu7wGADB18BeQiHWbOEctk7K+v9KevMCtKwmIDkv9+w07YONgAvvOprC2M4aakrvRMW82\ndvU0ktq6VmiqKWesuVQqhYGBASwsLLB//34hPD8/H4mJicIYB3t7e4SFhaFbt24AgLCwMIVtjx49\nQl5entAACAsLg5eXl8Kx5RISElBSUoL27dsrpUwMwzDKlBeZCll+CVSNJNBo++pv9OpClpuOotAT\nAMdBs6+fUtN6VUSEzX9+gyJpAXrbDUZvu0FNnSUGZfXyOOE5bgXGITGmbMIRXoWDYzcz9HK1goER\nGzPINAw2G1IjcbbQqXZtWkNNEUZ1fP35uzMyMvD7778jPz8fMpkMAQEBOH78OIYPH44RI0YgIiIC\nJ0+eRFFREVauXIlOnTrBxqZsMawJEyZg3bp1SElJwdOnT7Fu3Tp4e3sDAGxsbNCpUyesXLkSRUVF\nOHny5P+zd+dxVZWJ48c/9172C6jgAsqmoCKLuYtaaWZFFFppWpZK6dii1TT5TbN+MzUzmvoqZ75N\nQ6upY+NemViSS99cUnFFQQERWQVc2e6Fu5/fHzevkiggdwOf9+vlC+95zrMcODyc5zwbWVlZJCYm\nAjBhwgRSU1M5cOAAarWahQsXkpiYKCY3CzYhehUEWxoxYoRlE7Z2A0NtvlxqXdp/wajDPepBXPyC\nbZrX7dqduYUTBQfw9mjHc2PedHRxWjVr1F+SSeLMqfOs/jSNdV8epCD3Mq5uCgbdHcYf5ozkoSdi\nRENBsCrRs2AniVEd2VtQycnz6nrHPVzk3BPWHn9ly8cQymQyli9fzhtvvIEkSURERPDpp58yYMAA\nAFauXMncuXN58cUXGTRoEMuWLbPETUpKoqCgwFKRTZ06lWnTplnCly1bxqxZswgPDyc4OJiVK1fi\n52d+4xYZGcnSpUuZOXMmFRUVjBo1io8//rjF1yMIgmBv2tJKtOXVyD1d8e4TaNO8JJOR2n0rAPAa\n4ZwTmytUF/nPz+b9eqbe/wbtlf4OLtGdy2g0kX2ijIO787l83jwn0NPLlf7DQ+kfFyImKws2IxoL\nduKmkPP+wxF8efAcmeUqtAYTvh6u3B/RgbFR1tkV1N/fn5SUlJuGjxw5kgMHDtw0/N133+Xdd99t\nMCw4OJjNmzffNO748eMZP358k8tqEzIZyGU2fxN4u0zIMWBq/MTryBUy5AorXI9chszVBZnCOkv0\nWptCDi5yGbKb9r9dI+YsCLa0/b+biZYF4Ns3CLmrbX9ftNk/Y7xShMI/FPfI0TbN63ZIksRX2xeh\n1tbQv8fd3BOV4OgitXq3U3/pdUYyj5RwaE8B1ZV1APi082DQ3WH0HRyEq5t4lBNsS9xhduThImf2\ncOfsZm4LOifE0jkh1tHFuKmIpReaHWfi9CFWybvHrGfpMetZq6RlCwvjIxxdBEHAWKdDU1IBIQH4\n9rftcqkAtXvNvbtew5OQNXE5ZXs6kLODQ7m/4OmmZPqDbznti5i2SlOnJz2tiCO/FlKnNq+m6NdR\nyZCR3elzV1cULs53zwhtk2gsCILQqoheBcFWVFnlDAzug2dYR1x8PGyal+FKEdqs7aBww3PoMzbN\n63ZU11awfMdiAJ4d9Uc6+gY4uERtQ1PqL3WNlsO/FnA8rQid1ghAQDdfhozqQUSfLsidcB8hoW0T\njQVBEARBAFQnzwHYZZ+W2n0rQJLw6DcOhXfHRs+3t5U7P6C6toLokEGMvutxRxfnjlB5uZZDe/LJ\nPHoOo8E8ZDUk3J+hI7sTEu4venYEhxGNBUEQWhUxZ0GwBd1lFdryao6U5jA+YoxN85IMWuoOfA2A\ncsTzNs3rdhw9s4dfs1Jxc/Fg5kPviIdUK2qo/tJpDez+6TTH04qQzPuo0TOqC0NGdicwuL0DSikI\n9YnGgiAIgnDHU50sBcAzxM/mE5s1x7dgUl3CpWs0rt2tMy/JWtSaGr7YtgCAp+6dRZcOYp6dLRXl\nXSb120yqK+qQy2VE9e/KkHu7499ZbGoqOA/RWBDaDMlk+m3nShkyJxzTqdeal81VuHoib+JkRqPR\nfE1yecuuSTIakYwmkMuQuzjfr73BJCFJEgq5rNENDEWvgmBtkkmi5rfGwpgnH7F5fld3bPYa8bzT\nvbX/7y//pEJ1kV5d+xI/YJKji9PmXK2/dFoDu1NzSE8rBqBzoA/xE2LpHOjryOIJQoPEVHqhzbi4\nNZP8pdtRZZU5uigNKn4rlEtzg6mtKm1ynA3LDvGPP2+jpLCiRXnnJ69mW8hIchd93qJ0bOXt1Dwe\nWX6c9NIaRxdFuAPVFV3BqNLi0s4T9262HfahLz2F/uwBZO4+eA6cYNO8miujII2fT2zCReHKCw//\nGbncOZdabu0Kz1xmxf/+SnpaMXKFjBFjInjm5WGioSA4Lbs0FnJycujfv7/lX7t27fjoo4+4cuUK\nDzzwAL169eLBBx+ksrLSEuf999+nZ8+eREZGsm3bNsvxI0eOEBsbS8+ePXnttdcsx7VaLZMmTaJn\nz57ExcVRWFhoj0sTBMHO9u7d6+giCG3M9RObf/31V5vmVbtvOQCegyci9/CxaV7NodHV8vlPfwdg\n/PCZdPPv7uAStT1ajYF/LvqaDV8dorqyji5dfZny8nCGjY5AoRDvbgXnZZe7s3fv3hw7doxjx45x\n5MgRvLy8ePzxx1m0aBEPPPAAp0+f5v7772fRokUAnDp1inXr1nHq1ClSU1N5+eWXkX6b9fPSSy+x\nbNkycnNzyc3NJTU1FTDvMOzv709ubi6vv/46c+fOtcelCYIgCK2YSWdAnWveA8XbxqsgmTQ11B1a\nB5iHIDmTtXv+zcWqUsI69yZxyBRHF6fNKci9xMqP9pKXfQG5QsbdD/Zk8ktxdAp0ngajINyM3Zuy\nO3bsICIiwrIj8LRp0wCYNm0amzZtAuD777/n6aefxtXVlbCwMCIiIkhLS6OsrIyamhqGDDFPCJs6\ndaolzvVpjR8/np07dzaY/6xZs1i8eDGLFy/mk08+aXNvKRMTE+natSshISGEhIQQFxd3wzlLlizB\n39+f3bt31zv+7rvvEhERQUREBO+99169sKKiIsaOHUtQUBBxcXHs2rWrXvjGjRvp27cvwcHBTJky\npV4vka1UVVXV+/kdzErnSOEpy+e9e/fWC3f05yPlEgfLaVb802dPWC3/U6ZajhbnO8334/efa/LS\nOX7oQKPnXx3z6+jyis9t47P69HkkvZGM2mLSMo/a9P76ecUiJK0Ktx7DSMu77BTXD5BTks6a71ZQ\nWazjxYf/govC1Wl+Pq39s1ajZ9t3mXy44D9knDrK0MFxTJ01HINLGfv373N4+cTn1vv5k08+sTzP\nzpo1C1uSSVdf2dvJ888/z6BBg3j55Zfp0KEDFRXmsdiSJOHn50dFRQWvvPIKcXFxPPOMeaOaGTNm\n8PDDDxMWFsa8efPYvn07AHv27GHJkiWkpKQQGxvLTz/9RNeu5jdDERERHDx4ED8/P0veO3fuZMCA\nATeUqaysjMDAQFtfukVNdh7a85fx7t0dj4BOVk177NixTJw4kWefbXi33vz8fMvDfHJyMvfeey8A\nK1as4JNPPrE0vp544gleeOEFkpKSAHjwwQcZOnQo77zzDtu2bePVV1/l8OHD+Pv7k52dzUMPPcS6\ndeuIjY3l9ddfx2Qy8eWXX1r12n7v9z+3Cz+cQHWqjE4JsXZZJ725zv6pI54mEz5/OYF3h6AmxVn7\neRolBRVM+sMQgrv7NR7hZnn/axWnF3xC99nP0vudl287HVuZ++MZjpXWsOjhcAZ0E+N2BfspXXsI\nTfEVOj4UjW/fpv1e3g5Jkri05B4MZadoP+ULPAeOt1lezaEzaJm3YjKlVwp4fNh0Jt3jfPVDa5V/\n+hLbvsukpkqDQiFj+JieDL47DLkYciTYwNGjR7n//vttkrZd71idTkdKSgpPPvnkDWEymczpVoWw\ntqr0LPY/PIMDiS9yeNIf2R8/nSPT3sRQo7ZqPrdq/7355pu8++67uPxuRZw1a9Ywe/ZsAgMDCQwM\nZPbs2axevRqAM2fOkJGRwbx583B3dycxMZHo6GhSUlIA2LBhA/Hx8cTFxaFUKpk/fz5btmxBrbbu\ndTVKJgO5895HJuQYmhlHrpAhV1jheuQyZK4uyBTOOWFRIQcXuQwZjV/r9W9XBKEl9FV1aIqvIHOR\n4927C2C7+0uffxBD2Snk3h3xuOtRm+RxO7759XNKrxTQzb87Twyb4ejitAlajZ6fvs3kmxWHqanS\nEBDUjimvjGDoyB7su643QRBaC5fGT7GerVu3MnDgQDp1Mr9N79KlC+Xl5QQEBFBWVkbnzp0B6Nat\nG8XFxZZ4JSUlBAUF0a1bN0pKSm44fjVOUVERXbt2xWAwUFVVVa9XwdG0Fy6T/uKfqSs4d+1Y+SUu\nlu/laNJchnzzsdXy+tvf/sZf//pXIiIieOeddxgxYgQAmzZtwsPDgzFjxtwQJycnh+joaMvn6Oho\ncnJyAMjOziYsLAylUmkJj4mJITs72xJ+/XCnsLAw3N3dycvLo2/fvla7rsZ0Toilc0Ks3fJrroil\nF5odZ+J066zB3mPWs/SY1XBvkzNYGB/h6CIIdyDVKfPKZF49OyN3d7VpXupfvwLAM24KMhd3m+bV\nVGfLs0g5uAoZMl58+C+4urg5ukit3tmci2z7LhNVtRaFi5wRYyIYNEL0Jgitm13v3jVr1vD0009b\nPo8dO5aVK1cCsHLlSh577DHL8bVr16LT6cjPzyc3N5chQ4YQEBCAr68vaWlpSJLEqlWrGDdu3A1p\nbdy40WZdMbfrzNKv6jUUrld1IoeKgycaDGuuv/zlLxw7doxTp04xbdo0Jk+eTGFhITU1NSxYsID3\n33+/wXhqtRpf32vDP3x8fFCpVJYwH5/6k7C8vb0tPQe1tbX14v4+viBYk9hnQbAGSZIsG7H5RHez\nHLfF/WVUXUKT/j3IZHgNn2b19G+Hwajn063vYZKMPDxoMj27Ou+LltZAU6cn9ZsMvl15BFW1lsDg\ndkydPZwh9/ao11AQ9ZfQGtmtZ0GtVrNjxw6++OILy7F58+YxceJEli1bRlhYGOvXrwcgKiqKiRMn\nEhUVhYuLC8nJyZahJcnJySQlJVFXV0dCQgLx8fEATJ8+nSlTptCzZ0/8/f1Zu3atvS6tSVSnb76U\nq7FGTdn3O+kwpOVv4QcOHGj5/1NPPcU333zDtm3bKCwsZOLEiZaeGKg/XEmpVFJTc22N++rqary9\nvRsMayi8urr6puGCIAjORltahb6iFoXSHc9Q2/ZC16X9F4w63KMfwsUvxKZ5NdX3aSsouphL5/ZB\nTLrnJUcXp1U7m32BbZtOWnoT7n6gJwNHhCF3ws1BBeF22K2xoFQquXTpUr1jfn5+7Nixo8Hz58+f\nz/z58284PnDgQDIyMm447u7ubmlsOCOZy607cVx8lLcMv+18ZTIkSWLPnj2Ulpby1VfmrvBLly7x\n/PPP88c//pFXXnmFyMhIMjMz6d+/PwCZmZlERkYCEBkZSWFhISqVytIAyMzMZNKkSZbwzMxMS575\n+fnodDrCw8Ntck3CnW3v3r3i7ZzQYld3bPaOCkR23Y7q1r6/JJOR2n0rAOdZLrX44hm+3WdegOKF\n+Hdwd/V0cIlaJ02dnv/7IZuTR82jBrqGtOeh8TH4d7r5izJRfwmtkRhEZyedRg8HecPfbveAjoQk\nPd7iPKqrq9m5cycajQaDwcCGDRvYv38/Y8aMYdOmTezbt4/du3eza9cuAgIC+Mc//sH06dMBcy9E\ncnIyZWVllJaWkpyczOTJkwHzylIxMTEsWbIEjUZDSkoKWVlZJCYmAjBhwgRSU1M5cOAAarWahQsX\nkpiYWG+OgyAIgrMwGYyos807vdt65TRt9s8YLxei8AvBPXK0TfNqCpPJyGepf8NoMjDmrvFEhwx2\ndJFapZKCCpb/cy8nj57DxUXOqITePDVz6C0bCoLQWtl1gvOdLPS5Jzj/4y9U/m5ugtzLgy6P3meV\nJVT1ej3vv/8+ubm5yOVyevXqxddff02PHj1uOFehUNC+fXu8vLwASEpKoqCgwPLGY+rUqZZ9K8C8\n6d2sWbMIDw8nODiYlStXWiaQR0ZGsnTpUmbOnElFRQWjRo3i44+tN2G7qSSTCSRAJkPmhN2/eq15\njofC1RP5TRqOv2c0mq9JLm/ZNUlGI5LRBHIZchfn+7U3mCQkSUIhlyFvZDUr8VZOaKnavIuYtAbc\nOvvg1qn+fCxr31+1v01s9hrxHDK541cj+/Hwas6UZeLv04XJo151dHFapZwTZfy4MQOjwUTXkPbE\nT4jFr2PTXo6J+ktojey+z4IjOXqfBWOthpy/J1ORlo6xVoObf3u6jo8n5LknbJ53WyT2WWhG3mKf\nBUGwKP/2KLV5F/EfHUm7gaE2y8dwIZeL78eB3JXO72Wi8O5os7yaouxKEW+ueAq9Qcu8CR/Rr8cI\nh5antZEkiUN7Ctidal4psF9cCKMf7SPmJghOwZb7LDjfK8Y2TOHlQdTCPzm6GILQqokxv0JLGNRa\nas9eArkM78iAG8KteX/V/Pg+SBJeQ552eEPBJJn4/Ke/oTdouSf6EdFQaCaT0cTPP2STfqAIgJEP\n92bQ3WHN3tdH1F9CayQaC4IgCMIdQ51VZn6A79EJhdJ2+x3oS06gSd8ELu54PzTHZvk01Y70b8gq\nPko7pT/TRr/h6OK0KnqdgS1rj5OXfRGFQkbCk33p3df2oxEEwVmIxoIgCK2KeCsntIRlFaSYhocq\nWq9XYQEAyruno2jfrZGzbetiVRmrf/kIgOfHzMXbs51Dy9OaqGu0fPefI5Sfq8bD05XHpvQnKOz2\nh4SK+ktojURjQRAEQbgjaC/UoLtQg9zDBWWPzjbLR3f2ANpT25G5e6Mc80eb5dMUkiTx5bYFaPS1\nDO11P0N7O9eGpc7s8kUV36w4QnVFHe06eDI+aRB+ncQqf8KdRyydKrQdMhnIZc0eQ2ovJuQYmhlH\nrpAhV1jheuQyZK4uyBSOX42lIQo5uMhlyGj8Wvfu3WuHEgltkerUb70KkYE33fumpfeXJEnUbPkb\nAMpRLzt8rsLuzC0cz9+Pt0c7nhvzpkPL0poU519hzadpVFfUERDUjskvxlmloSDqL6E1Ej0LQpvR\nOSGWzgmxji7GTUUsvdDsOBOnD7FK3j1mPUuPWc9aJS1bWBgf4egiCG2cZDKhujoEyYarpelyfkZ3\ndj8yrw4oRzl25bEK1UX+8/OHAEy9/w3aO7jh0lpkHy9j68YTGI0S4X068+ikvri6iccl4c4l7n5B\nEFoVMeZXuB11BZcx1upw7eCFe+DNx+y35P6SJImaH8xzFbzH/BG5p+OWAZYkia+2L0KtraFfjxHc\nE5XgsLK0FualUfPZnXoasM3SqKL+Eloj0VgQBEEQ2rya63oVbDVUUXNiC/ridOS+ASjvnm6TPJrq\nQM4ODuX+gqebkhkPznfa4ZnOwmQ08fOWLNLTioHbXxpVENoiMWdBEIRWRYz5FZrLqNFTm2seBtjY\nho23e39JJiOqHxcC4P3gHGRuXreVjjVU11awfMdiAJ4Z9RodfW/cT0K4Rq8zsOm/x0hPK0bhIifx\n6X4Mvqe7TRoKov4SWiPRWGhDgoODCQkJsfzr1KkT8+bNs4T/8MMPDBs2jNDQUIYNG8aPP/5YL/67\n775LREQEERERvPfee/XCioqKGDt2LEFBQcTFxbFr16564Rs3bqRv374EBwczZcoUKisrbXehgiAI\nzaDOKUcymvAI8cPF19MmedQd2YDhfA4KvxC84hw7P2jlzg+orq0gKngQo+963KFlcXbqGi1rvzjI\n2eyLeHi6MnH6YHrHisaVIFxPNBYc4FJ5DQW5l1BVa6yabnFxMUVFRRQVFZGVlYWnpyePPfYYABcv\nXuSFF17g73//O4WFhfz1r39l5syZXL58GYAVK1awdetW9uzZw549e0hNTWXFihWWtGfMmMFdd91F\nXl4eb7/9NklJSZa42dnZvPHGG3z++edkZ2fj6enJnDn234RIMpmQjCYkk2T3vJtCr1Wj16oxmUxN\njmM0mjAaWn5NktGISafHZGjuekz2YTBJ6I0mTFLj1ynG/ArNdXVic2O9CnB795dk0KHauggA74fn\nIXNxa3Ya1nL0zB5+zUrFzcWDF+LfQS4Tf+Zv5vIFFf/95ADnz1XTzs+TyS/F0S20g03zFPWX0BqJ\nWsSOykqq+Dp5P6s/O8DG5YdZlbyf71YdQaux/gPc5s2b6dSpE3FxcQDk5+ejVCq5/37zGtsPPPAA\nXl5e5OfnA7BmzRpmz55NYGAggYGBzJ49m9WrVwNw5swZMjIymDdvHu7u7iQmJhIdHU1KSgoAGzZs\nID4+nri4OJRKJfPnz2fLli2o1WqrX9etXNyaSf7S7aiyyuyab1MVvxXKpbnB1FaVNjnOhmWH+Mef\nt1FSWNGivPOTV7MtZCS5iz5vUTq28nZqHo8sP056aY2jiyK0MfrKWjTnKpG5KlD26mKTPGoPrMJ4\npQiXLr3xHPikTfJoCrWmhi+2mSdYT7rnZbp0CHZYWZxdcf4VVn96gOrKOgKD2/HMi3H4dRR7KAhC\nQ0RjwU7UNVp+WJtOeUkVOq3RfKxaS17WRTZ9fdTq+a1du5ZJkyZZPkdHR+Pi4sJPP/2E0Wjkhx9+\nwN3dnejoaABycnIs/796fk5ODmDuOQgLC0OpvFaRxsTEkJ2dbQmPiYmxhIWFheHu7k5eXp7Vr0sQ\nxJhfoTmuTmxW9uyCvAnLXzb3/pJ0tai2fQCAd8J8ZHLH7WXy31/+SYXqIj27xvLwwKccVg5nl3W8\nlI1fHUKrMRDRpzMTpw/By9vdLnmL+ktojcRqSHay/+czVF6pazDs/LkqzhVU0C3MOt2fxcXF7Nu3\nj48//thyTKlUsnTpUqZPn45Op8PNzY3ly5fj6Wkev6tWq/H1vbbMn4+PDyqVyhLm4+NTLw9vb2/O\nnz8PQG1tbb24v48vCILgCJIkXRuCFGObvRXUe77EVH0e1+B+ePR91CZ5NEVGQRo/n9iEi8KVF+L/\njNyBjRZnJUkSh3bns/sn89Ko/YeFcN8j1l0aVRDaItGzYCeXL9z8wVmnNZKdYb2hM+vWrWPYsGEE\nB1/rgj5+/Divv/46P/zwAxcuXCAlJYXXXnuNkydPAubGRE3NtSEg1dXVeHt7NxjWUHh1dfVNwwXB\nmsSYX6GpNCUVGKrqUPh44BHs16Q4zbm/THXVqHb+LwA+j7zjsGU2NbpaPv/p7wCMH/4Hgjr2cEg5\nnJnJaGLH96fMDQUZjEqItPoeCk0h6i+hNRKNBTtprEJy97BeJ8+6det46qn6XdC7d+9m0KBB3HXX\nXQD079+fgQMHWlY1ioyMJDMz03J+ZmYmkZGRlrDCwsJ6PQW/D78+bn5+PjqdjvDwcKtdkyAIQnNZ\nehWiApHZ4KFQ/UsyUm0FbhEjcOt9n9XTb6q1e/7NxapSwjr3JnHIVIeVw1nptAY2fX2M4wevLY0q\n9lAQhKYTjQU76d67E9ykXvL2caff0BCr5HPw4EHKy8sZN25cvePR0dHs37/f8lB/4sQJ9u/fT1RU\nFABPPfUUycnJlJWVUVpaSnJyMpMnTwYgIiKCmJgYlixZgkajISUlhaysLBITEwGYMGECqampHDhw\nALVazcKFC0lMTKw3x8EuZDKQy5z2D4AJOc2dyi5XyJArrHA9chkyVxdkCuccmqCQg4tchuxmvyTX\nEWN+haYw6Y2ocsoB80ZsTdXU+8uouoT6l2QAfBIc16uQU5LOT0fWIZcpeOHhP+OicHVIOZyVukbL\nui8OcjbnIp5evy2NGuO4pVFF/SW0RmLOgp30iwsl9+R5zhXW33/A1VVOr5guePt6WCWftWvXNvig\nPnr0aF599VWmTp3KpUuX6NixI3/6058YNWoUAElJSRQUFFi6SKdOncq0adMs8ZctW8asWbMIDw8n\nODiYlStX4udn7taPjIxk6dKlzJw5k4qKCkaNGlVvvoS9dE6IpXNCrN3zbaqIpReaHWfi9CFWybvH\nrGfpMcuxa7/fysL4CEcXQWhjas9cQNIZcQ9sh5u/9YdEqnf8E0mrwj3qAdx6DLV6+k2hM2j5LPVv\nSEiMGzqN7l0iHVIOZ3XpgopvVxyhurKO9n5ejE8aSAex4pEgNJtMkpqwsHkbsXPnTgYMGHDD8bKy\nMgIDA22ev15nZHdqDiWFFeh1Rry83OjTvyv946zTq3CnsdfPTRCE1qdsw2HqCi7jP6YP7fpbcKUE\nlAAAIABJREFUt441Vp7jwt8HgUFLxzm/4BrU16rpN9WaXf/i+7QVdPULY1HSatxc7LOiT2tQnH+F\nTauOotUYCAxux+NTB+KldNz+F4Jga0ePHrUsj29tomfBjlzdFNw/NsrRxRAEQWjTDCoNdYWXQS7D\nO9L6Q05UP30ABi0e/R5zWEPhbHkWKQdXIUPGiw//RTQUrpOVXkrqNxkYjRI9o7qQMLEvrm7OOQRT\nEFoDMWdBEIRWRYz5FRqjOlUGEijDO6PwbN7b5MbuL8PFs9SmfQ0yOT4Jb7WkmLfNYNTz6db3MElG\nHh70NL26OabB4mwkSSJt11l+WH8Co1FiwPBQEif3c6qGgqi/hNZI9CwIgiAIbYYkSZaN2Jozsbmp\nalIXg8mI59Bncenc0+rpN8X3aSsouphL5/ZBTLz7ZYeUwdmYjCZ2bD7FiUMlIIP7EiIZOCLM0cUS\nhDZBNBaENkMymUACZDKbLJPYUnqtGgCFqydyedM69YxG8zXJ5S27JsloRDKaQC5D7uJ8v/YGk4Qk\nSSjkMuSNrCoj1ikXbkV3oQb9JRVyT1e8enRsdvxb3V/60lNojm4EhRveD/1PS4p524ovnuHbfV8C\nMPOhd/Bw83RIOZyJTmsgZe1x8nMu4uIiJ2FiX3o5cMWjWxH1l9AaiWFIQptxcWsm+Uu3o8qy3gZ3\n1lT8ViiX5gZTW1Xa5Dgblh3iH3/eRklhRYvyzk9ezbaQkeQu+rxF6djK26l5PLL8OOmlNY2fLAi3\nUJN5DgDvPoHIFNb9E1ezdSFIEl4jnsPFL7jxCFZmMhn5LPVvGE0G7r/rCWJCB9u9DM5GVa1h3RcH\nyf9tadQnpw922oaCILRWorEgCEKrIsb8CjcjGU2WlwU+tzkE6Wb3l67wMNqMH5G5eeH9wOu3XcaW\n+CVjM2fKMvH36cIzo151SBmcyaULKlZ/eoDzpdW09/Ni8otxdAvt4Ohi3ZKov4TWyPnGIwiCIAjC\nbajNv4SpTo9rR2/cuvhaNe2aHxYA4HXvCyh8Ols17aYwGPV8u988/Ojpka/g5e5j9zI4k+KzV9j0\n9dWlUdvz+NQBYmlUQbAR0VgQBKFVEWN+hZtRZZqH+PlEd73tHZUbur+0p3ehO70Lmacv3qNfaVEZ\nb9cvGZu5VF1ON//uDI980CFlcBZZ6aVs/SYDUytcGlXUX0JrJBoLgiAIQqtnrNOjzrsAMvCOst5m\njZIkWXoVvEe/ityrvdXSbiq9Qcd3+5cBMGHEC8jlrePB2NokSeLgrrPs2ZYLwIDhoYxKiETuhAta\nCEJbIuYstCFffPEFo0ePJjAwkNmzZ9cL27VrF0OHDiUoKIhx48ZRUlJiCfvXv/7FiBEjCA0NpX//\n/nz88cf14hYVFTF27FiCgoKIi4tj165d9cI3btxI3759CQ4OZsqUKVRWVlrCtFotr7zyCqGhofTp\n04fk5GQbXPlvZDKQy277jaKtmZBjaGYcuUKGXGGF65HLkLm6IFM450OGQg4uchkyGr9WMeZXaIgq\nuwxMEp6h/rh4e9x2Or+/v7Qnf0JfeBi5dye87p3Z0mLelv/L+J7LNecJ7hjB0N622aHV2ZmMJrZv\nOmluKMjgvkciGf1on1bXUBD1l9AaiZ4FByi+eIYK9SWCOobj593JaukGBgYyZ84cfv75ZzQajeX4\n5cuXmTZtGh999BHx8fEsWLCA559/nm3btlnO+fTTT4mOjubs2bOMHz+ebt268fjjjwMwY8YMhg4d\nyoYNG9i2bRtJSUkcPnwYf39/srOzeeONN1i3bh2xsbG8/vrrzJkzhy+/NI+tXbx4Mfn5+WRkZFBe\nXs64cePo3bu3TbYk75wQS+eEWKunay0RSy80O87E6UOsknePWc/SY9azVknLFhbGRzi6CEIrpzp5\ndQhSN6ulKZlM1PzwdwC8H/wTcndvq6XdVDqD9rpehZnIZXfeOz6d1kDKmnTyT19y+qVRBaEtEo0F\nO8orO8XyHYs5d6WAOq2KDt6d6NGlD7Me/RteVvgj9OijjwKQnp5Oaem15Tm3bNlCnz59GDt2LABz\n586lZ8+enDlzhoiICF555doY3IiICBISEkhLS+Pxxx/nzJkzZGRk8N133+Hu7k5iYiKfffYZKSkp\nJCUlsWHDBuLj44mLiwNg/vz5xMXFoVarUSqVrFu3jn//+9/4+vri6+vLtGnTWLNmjU0aC8KdQYz5\nFX5Pd0WNtqwKmZsCr54tm3x8/f2lOfYdhrJTyNt3w2t4UgtLeXt+Pv4dFaqLhHTqyeBe9zmkDI6k\nqtbw7X+OcqG0Gk8vVx6fOoCuIc694tGtiPpLaI3uvFcUDlKpusRHKW9xpiyTOq0KgArVRY7k7ebD\n796wal6SJNX7nJ2dTUxMjOWzl5cX3bt3Jysrq8G4+/bto0+fPpa4YWFhKJVKyzkxMTFkZ2c3mHZY\nWBju7u7k5eVRWVlJeXl5vfCoqChLXEEQBGu42qvg3TsAuat1htpJRj01W98HwCd+LjIXd6uk2xw6\nvYZNB5YD8OTdL9xxvQqXztew+tMDXCitpr2/eWnU1txQEITW6s6qeRzom31fcr6ypMGws+VZ5JSk\nWy2v34/ZV6vV+PjUX2bPx8cHtVp9Q9zFixcDMHny5JvG9fb2tsStra3F17f+EoU+Pj6oVCrLOdeH\nXw0ThNslxvwK15MkiZqrjYXb3Fvhelfvr7qDazBeOouiUwSeg59qcbq3Y8fxb6lUXyKsSySDIkY5\npAyOUlpUwZrP0qiu1BAY3J7JL8bRoaOy8YhOTtRfQmskGgt2cu7y2ZuG1enU7M/ZbrW8ft+z4O3t\nTU1N/Z1xq6ur8fauP/Tpiy++YP369axduxZXV1cAlErlLeMqlUqqq6sbDL/aG3F9/IbyFQRBuF2a\noisYazS4tPPEI8g6b50lvYaa1CUA+CS8hUxh/xG7Wn0d36etAODJES847cINtlCQe4n1yw6j1RiI\n6NOZiTMGiz0UBMGBRGPBThSNLHXn5Wa9B+jf/1GJjIwkMzPT8lmtVlNQUEBkZKTl2Ndff81HH33E\npk2bCAwMrBe3sLCwXm9AZmamJe7v087Pz0en0xEeHk779u0JCAggIyPDEn7y5EnLECdrk0wmJKMJ\nySQ1frID6LVq9Fo1JpOpyXGMRhNGQ8uvSTIaMen0mAzNXY/JPgwmCb3RhElq/DrFmF/hetUnzD22\n3i3YW+F6d999N+pfv8JUVYpLtxg87hrX4jRvx/ZjG6lSX6ZHQBQDwu9xSBkcISeznG//cwSD3kj0\ngG6MndwPVysNLXMGov4SWiPRWLCTfj1GILvJt7uDdyfG9J/Q4jyMRiMajQaDwYDRaESr1WI0Gnnk\nkUfIysoiJSUFjUbDkiVLiImJISLCvALNhg0bWLBgAd988w0hISH10oyIiCAmJoYlS5ag0WhISUkh\nKyuLxMREACZMmEBqaioHDhxArVazcOFCEhMTLb0KkyZN4sMPP6SqqoqcnBxWrVrF008/3eJrbcjF\nrZnkL92OKqvMJum3VPFboVyaG0xtVWnjJ/9mw7JD/OPP2ygprGhR3vnJq9kWMpLcRZ+3KB1beTs1\nj0eWHye9tKbxkwXhN/qKWtQ55SCX4RtrnVWQTJoa1Dv+CYBPwjvI5Pb/M6nR1bH54ErgzupVyDhc\nwpY16ZiMEgOGhxL/RAxyhXhMEQRHs9tvYWVlJRMmTKBPnz5ERUWRlpbGlStXeOCBB+jVqxcPPvhg\nvfX533//fXr27ElkZGS9JT6PHDlCbGwsPXv25LXXXrMc12q1TJo0iZ49exIXF0dhYaG9Lq1JHuw/\nkV7d+t5w3N3Vg6G977fKEqoffPAB3bp143//939Zv349Xbt25cMPP8Tf35+VK1eyYMECwsPDSU9P\nZ9myZZZ4CxcupKKigjFjxhASEkJISAhz5syxhC9btoz09HTCw8NZsGABK1euxM/PDzD3LCxdupSZ\nM2cSGRmJRqPhgw8+sMSdN28e3bt3p2/fvowbN45XX32V0aNHt/hahTuXGPMrXFV5MB8k8Inqiouv\np1XS3PHpfEyqS7h2H4J71ANWSbO5th1bT3VtBRGBMfTrMcIhZbC3Q3vy+enbTCQJho+J4L5HIpG1\nsj0UmkLUX0JrZLeBmK+99hoJCQls3LgRg8GAWq1mwYIFPPDAA7z55pssXryYRYsWsWjRIk6dOsW6\ndes4deoU586dY8yYMeTm5iKTyXjppZdYtmwZQ4YMISEhgdTUVOLj41m2bBn+/v7k5uaybt065s6d\ny9q1a+11eY1ydXFj/sSPWb3rI7JL0tHq6/Dx7MA9UQk8OOBJq+Qxd+5c5s6d22DYyJEjOXDgQINh\nx44du2W6wcHBbN68+abh48ePZ/z48Q2Gubm58dFHH/HRRx/dMg9BEITmMFTXUZN5DoB2Q7tbJU2T\nVo0m/XtoDz6PvOOQN/p1OjUpB/8DwJN3v9jmexUkSWLv9lzSfjHP6xv9aB8GDA91cKkEQbieXRoL\nVVVV7Nmzh5Urzd2qLi4utGvXjs2bN1t2A542bRqjRo1i0aJFfP/99zz99NO4uroSFhZGREQEaWlp\nhIaGUlNTw5Ah5o2qpk6dyqZNm4iPj2fz5s289957gPnh9fc7GDsDd1dPnhvT8MO8IAhNI8b8CgCV\nhwvBJKHsHYCbn3VWyak7tJbB7VW4hg3GPcIx99lPR9dTU1dJr2530TcsziFlsBfJJLEz5RTpacXI\n5DLin4gheoD1NtVzRqL+ElojuzQW8vPz6dSpE8899xzHjx9n4MCB/POf/+T8+fN06dIFgC5dunD+\n/HkASktLLZt8AQQFBXHu3DlcXV0JCgqyHO/WrRvnzpnfLJ07d47g4GDzRf3WGLly5YpluMxVs2bN\nsozL9/X1JTY2lvDwcNtdvGAzVVVV5OXlWSrfg1np1BVeJh7zLs5Xu3uvhjv685FyCTcTXN2Orinx\nT5/NwksebJX8T5lqqSjOp3cz8rfn55q8dI4fusiAbg86RXnEZ+f9bFRr+b/vU8EoMXbaMKukv2fP\nHqr++w8GeoBy1EsOuT6tvo6UDHOvQoT7MH799Ven+H7b4vPu3Xs4uOss1HVB4SKna28tFbX5QDen\nKJ/4LD47++eMjAzLapRFRUVMnz4dW5FJv19n0wYOHz7MsGHD2LdvH4MHD+aPf/wjPj4+fPzxx1RU\nXJu46efnx5UrV3jllVeIi4vjmWeeAWDGjBk8/PDDhIWFMW/ePLZvNy8zumfPHpYsWUJKSgqxsbH8\n9NNPdO1qXmc7IiKCgwcP1mss7Ny5kwEDBtxQvrKysnorAAmtw+9/bhd+zECVVUbnh2PxjnK+n+eZ\nP3XG3WSgw19O4N0hqElx1i87SElBBU8+P5jg7n6NR7iJs//+mtxFn9P95Wfo9dYLt52OrcxPPUN6\nqYoFD4XTv5vPLc/du3evpcIU7kxXdp+mMi0fr/BOBDxxY51+OzQnf6Lii6c5UtuJRz456ZDlUr/d\n9yXr935CZFB//vL0F212CJJeZyRlTTpncy7i6qbg8SkDCAn3d3Sx7ELUX4KtHD16lPvvv7/xE2+D\nXWrDoKAggoKCGDx4MGBeQef9998nICCA8vJyAgICKCsro3PnzoC5x6C4uNgSv6SkhKCgILp160ZJ\nSckNx6/GKSoqomvXrhgMBqqqqm7oVRDats4JsXROiHV0MW4qYumFZseZOH2IVfLuMetZesx61ipp\n2cLC+AhHF0FoJYwaPVXHzH8f2sf1sFq66l8+AcA9NtEhDQW1poYfDn0NmHdrbqsNBa1Gz3f/OUpJ\nQQUenq6Mf24QgUHtHF0sQRBuwS6rIQUEBBAcHMzp06cB2LFjB9HR0SQmJlrmMaxcuZLHHnsMgLFj\nx7J27Vp0Oh35+fnk5uYyZMgQAgIC8PX1JS0tDUmSWLVqFePGjbPEuZrWxo0bbda6EgTBscRbuTtb\n9bEiJJ0BjxA/PLq2t0qa+nOZ6HJ3I3P35v4Zf7ZKms219cga1NoaooIHER0y2CFlsLVatY71Xx6i\npKACb193nnph6B3XUBD1l9Aa2e31yb/+9S+eeeYZy4Zdy5cvx2g0MnHiRJYtW0ZYWBjr168HICoq\niokTJxIVFYWLiwvJycmWtyzJyckkJSVRV1dHQkIC8fHxAEyfPp0pU6bQs2dP/P39nWolJEEQBKHl\nTDoDVUfMy2J3sGavwq5PAfAc+gxyT1+rpdtUKk01Pxz6L2DuVWiLqivr2PjVYa5cUtPez4snnx9E\nOz8vRxdLEIQmsMucBWch5iy0LeLndmcSY37vXJWHC7jyfzm4B7aj6zNDrTJUx1hzgQvv9gWTnk5v\nH+ZA9jm731/r93zCt/u/JCZ0CO9M+sSuedvDlUtqNiw7RE2Vho4B3kxIGoS3r4eji+UQov4SbKXV\nz1kQBEEQhJaQDCaqDhUA5rkK1hrTX/vrcjDqcI9NwKVjd+CcVdJtqpq6SrYeWQOYd2tua86XVrNx\n+WHq1Dq6hrTniWkD8fB0dXSxBEFoBtFYENoMyWQCCZDJnHLnT71WDYDC1RO5vGnThYxG8zXJ5S27\nJsloRDKaQC5D7uJ8v/YGk4QkSSjkMuSNPASKt3J3pprMcxhVWtw6+eAV3vId7wEkvYbavebd7JUj\nXwLsf3/9cOhr6nRq+obF0Tuon13ztrWSgit8u/IoOq2BsJ7+jHumP65uzlf/2JOov4TWyC4TnAX7\n+OKLLxg9ejSBgYH1NqU7dOgQTzzxBOHh4fTq1YvnnnvOsqfFVcePH+eRRx4hJCSEyMhIPvvsM0tY\nUVERY8eOJSgoiLi4OMtGeldt3LiRvn37EhwczJQpU6isrLSEabVaXnnlFUJDQ+nTpw/Jyck2unq4\nuDWT/KXbUWWV2SyPlih+K5RLc4OprSptcpwNyw7xjz9vo6SwovGTbyE/eTXbQkaSu+jzFqVjK2+n\n5vHI8uOkl9Y4uiiCE5JMJioP5gPQPq671XoV6o5sxKS6hEtQX9zCh1slzeaorq1g6xHz/Lon737R\n7vnb0tmci2z86jA6rYFeMV14bMrAO76hIAitlWgsOIC+LAtN9i8Yq6z7UBsYGMicOXMs+1NcVV1d\nTVJSEsePH+f48eP4+PjUa0xcvnyZiRMn8vzzz5OXl8eRI0e47777LOEzZszgrrvuIi8vj7fffpuk\npCQuX74MQHZ2Nm+88Qaff/452dnZeHp6MmfOHEvcxYsXk5+fT0ZGBt9//z3/+te/2Llzp1WvW7iz\nXN2cRrhzqLLKMVTV4drBC2WvAKukKUmSZWKzcuRLlgaIPe+vLQdXodXX0a/HCHp2dd5ln5sr+3gZ\nm1YdxWAwETsoiEef6oeLi3jcAFF/Ca2TaObbka7oGNUb38RwIRdJU428XQCuQf1pP+UT5B4tX4Hj\n0UcfBSA9PZ3S0mtvr38/4WX69OmMHTvW8jk5OZn777+f8ePHA+Dq6kqvXr0AOHPmDBkZGXz33Xe4\nu7uTmJjIZ599RkpKCklJSWzYsIH4+HjLjtvz588nLi4OtVqNUqlk3bp1/Pvf/8bX1xdfX1+mTZvG\nmjVrxNK2giA0iSRJVKadBaD90B5WG2KoO70LQ9kp5L4BePZ/3CppNkeV+go/HVsHwIQRM+2ev60c\nP1jM9u9PggSD7g5j5MO92+yeEYJwpxBNfTsxVp+ncuUM9EVHkDTm7blNVeVoT26l4sspVs2rsQWu\n9u3bR2RkpOXzkSNHaN++PfHx8fTu3ZvJkydz7px5kl92djZhYWEolUrL+TExMWRnZ1vCY2JiLGFh\nYWG4u7uTl5dHZWUl5eXl9cKjoqIscQXhdogxv3eW2twL6C+rUfh4WHVndvUu86pDXndPR+biZjlu\nr/sr5eBKtHoNA8LvISIwpvEIrcDhvQVs32RuKNz9YE/RUGiAqL+E1kg0FuxE9dMHGC/nNximL05H\nezbNanndqnI+efIkH3zwAX/9618tx86dO8eaNWtYtGgRJ06cIDQ0lBkzZgCgVqvx8fGpl4a3tzdq\ntXmybm1tLb6+9XtFfHx8UKlUlnOuD78aJgiC0BhJkqg48FuvwpDuyBTW+ZNlOH8a7ant4OqBcniS\nVdJsjkrVJbYd2wjAhDayAtLpk+X88qP5RdCYcVHEjQoXDQVBaCNEY8FO9OdzbhomaWvQHPvOannd\nrGfh7NmzTJo0iUWLFjF06FDLcU9PTxITE+nXrx/u7u68+eabHDx4kJqaGpRKJTU19SedVldX4+3t\nDYBSqaS6urrB8Ku9EdfHvz6u1clkIJc57R8oE3IMzYwjV8iQK6xwPXIZMlcXZApFy9OyAYUcXOQy\nZDR+rWLM752jruAyuvPVKLzc8IntZrV01bvNCzh4DpqI3Nu/Xpg97q/NB1eiM2gYFDGKHgF9bJ6f\nrZWXVPHj+hMA3PtQL/oNDXFwiZyXqL+E1kjMWbATmfzWD2kyD59bhjcrrwYelouLi3niiSf4n//5\nH5588sl6YdHR0TdNKzIyksLCQlQqleUhPzMzk0mTJlnCMzMzLefn5+dbdulWKpUEBASQkZHBqFGj\nAHPPRp8+tvnj2Dkhls4JzjtJMGLphWbHmTh9iFXy7jHrWXrMetYqadnCwvgIRxdBcEKV+/MAaDc4\nDLmrdRq6JnUFtQfNKxApR9p/BaIrqotsT/8GaBtzFWqqNHy36igGvYmYgd0YfG93RxdJEAQrEz0L\nduLe5wGQNfztlvsGoLz7+RbnYTQa0Wg0GAwGjEYjWq0Wo9FIaWkp48aN4w9/+APTpk27Id7kyZPZ\nsmULmZmZ6PV6PvjgA4YNG4aPjw8RERHExMSwZMkSNBoNKSkpZGVlkZiYCMCECRNITU3lwIEDqNVq\nFi5cSGJioqVXYdKkSXz44YdUVVWRk5PDqlWrePrpp1t8rcKdS4z5vTPUFV9Bc64SuYcLvv2CrZZu\n7f6VoK/DPXI0rgGRN4Tb+v7afGAFeoOWIb1GE9alt03zsjWd1sB3/zmCukZLcHc/HhgX7bQ9u85C\n1F9CayR6FuxEec90NBlb0J89UD/AzQuPfmNRtGv5xL0PPviAJUuWWD6vX7+eN998E5lMRmFhIYsX\nL2bx4sUAlmMA99xzD//v//0/nnrqKWpraxk2bBiff35tPf5ly5Yxa9YswsPDCQ4OZuXKlfj5+QHm\nnoWlS5cyc+ZMKioqGDVqFB9//LEl7rx585gzZw59+/bF09OT1157jdGjR7f4WgVBaNsqf5ur0G5A\nKHIrrc8vGfWo93wJgHLUS1ZJszku15xn5/Fvgdbfq2AySfyw7jgXymro4O/F2Gf6oRDLowpCmyST\nGls6pw3ZuXMnAwYMuOF4WVkZgYHWW2XjZiRdLdWb30V39gCSrha5tz+egyaivHu6zfNui+z1cxOc\ny969e8XbuTZOW17FuVUHkLkqCHnhXhSebo1HaoK6IxupXDUTl4DedJy7r8G34La8v77avohtxzYQ\n13sMfxy32CZ52MsvP2ZzeG8BHp6uTH4pDr+OysYjCaL+Emzm6NGjNluWXvQs2JHMzYt2E5Y0fqIg\nCMId7OoKSL79gq3WUJAkCfUv5uVSr9+EzV4uVZfx84lNyJAxvpX3Khw/WMzhvQXI5TLGTu4nGgqC\n0MaJxoLQZkgmE0iATGa1jZusSa81LyWrcPVELm9ad73RaL4mubxl1yQZjUhGE8hlyF2c79feYJKQ\nJAmFXIa8kYc48VaubdNdUlGbewGZQk67QWFWS1efn4a++BgypR+eA5+86Xm2ur827V+OwahneJ+H\nCO4YbpM87KHwzGV2bj4FwAOPRRMS7t9IDOF6ov4SWiMxwFBoMy5uzSR/6XZUWWWOLkqDit8K5dLc\nYGqrShs/+Tcblh3iH3/eRklhRYvyzk9ezbaQkeQu+rzxkx3g7dQ8Hll+nPTSmsZPFtq0q7s1+8R2\nw8Xb3WrpWnoVhj+HzM3Tauk2xcWqUv4v43tkMjnjh//Brnlb0+WLKjavPobJJDH43u7EDgpydJEE\nQbAD0VgQBKFVEeuUt136ylpzY18uo90Q6y3BabhciCbjB1C44tXIHDFb3F/f7V+G0WRgRJ+H6Obf\nOpcWrVXr+HblEbQaAxFRnbn3wV6OLlKrJOovoTUSjQVBEATBKVQezAcJvKMCcW1nvbf/tbs/B8mE\nZ/8nULQLsFq6TXG+soRdmVtada+CwWDi+6+PUXWlji5dfXlkYl+nHOopCIJtiMaCIAitihjz2zYZ\najTUZJ4DoP3QHlZL16SppvbA10DTlku19v11tVfhnqgEAv1CrZq2PUiSxPbvMjlXWIG3rzuPTRmA\nq5WWsr0TifpLaI1EY0EQBEFwuKpDBWCUUPbugpuf9VbXqUv7L5K2BreIEbgG9bVauk1RcD6H3Zk/\nIJcpeGL4DLvmbS1pu85y8lgpLq4KHp8yAJ92Ho4ukiAIdiYaC0LbIZOBXOa0O4iakGNoZhy5QoZc\nYYXrkcuQubogUyhanpYNKOTgIpcho/FrFWN+2x5jrY7q48UAtI+zXq+CZDKi3m2e1K8c2bRN2Kx1\nfxmMej7d+h4myciDA54koIP1dqG2l5yMcvZuywUZPDKpL126tXN0kVo9UX8JrZHoSxTajM4JsXRO\niHV0MW4qYumFZseZOH2IVfLuMetZesx61ipp2cLC+AhHF0FwoKojhUgGE149OuHe2ddq6WoyfsR4\nuRBFx+64Rz9ktXSbYnPaSgou5NC5XTeeume2XfO2hrLiSrZuOAHAvQ/1pmdUFweXSBAERxE9C23I\nF198wejRowkMDGT27Gt/nIqKivD39yckJMTy78MPP6wX99133yUiIoKIiAjee++9emFFRUWMHTuW\noKAg4uLi2LVrV73wjRs30rdvX4KDg5kyZQqVlZWWMK1WyyuvvEJoaCh9+vQhOTnZBlcu3EnEmN+2\nxaTVU3W0CLBurwKAetdvy6XeOxOZvGm9ata4v4ov5fHNvi8AmBn///Cw81KtLVVdWceQ/jTKAAAg\nAElEQVR3q45iMJiIHRTE4HvCHF2kNkPUX0JrJHoWHEB3sQaDWotbR29cvK03/jMwMJA5c+bw888/\no9FobggvLCxscIjOihUr2Lp1K3v27AHgiSeeIDQ0lKSkJABmzJjB0KFD2bBhA9u2bSMpKYnDhw/j\n7+9PdnY2b7zxBuvWrSM2NpbXX3+dOXPm8OWXXwKwePFi8vPzycjIoLy8nHHjxtG7d2+bbUkuCELr\nUnWsGElnwCPED49u7a2Wrq7oGPqzB5B5+OA5ZLLV0m2M0WTg0x/fw2gyMOau8cSEDrZb3tag0xr4\n9j9HqFXpCO7hx5ixUU47tFMQBPsQPQt2pC2r4tzXBzi3Oo3yDUc4958DlH97FJO2uSPZG/boo4+S\nkJCAn59fg+Emk6nB42vWrGH27NkEBgZaeiVWr14NwJkzZ8jIyGDevHm4u7uTmJhIdHQ0KSkpAGzY\nsIH4+Hji4uJQKpXMnz+fLVu2oFabdytet24dc+bMwdfXl169ejFt2jTWrFljlesV7kxizG/bYdIZ\nqDpcAFh3BSS41qvgNWwqcg+fJsdr6f314+HV5JWfxN+nC5NHvdqitOzNZJLYsvY4l8pVdOjoxbhn\n+qNwEY8J1iTqL+F2mQwG9FU1aEovUFt4DnVeEarTBdRk5VGdedqmeYueBTsxqLWc33IcQ2Wd5ZhR\nraU27yLlm47SdZJ1xqaDeam7htx1110A3Hfffbz33nuWRkVOTg7R0dGW86Kjo8nJyQEgOzubsLAw\nlMprq5PExMSQnZ1tCY+Li7OEhYWF4e7uTl5eHiEhIZSXlxMTE2MJj4qKYsuWLVa6UkEQWrOaEyWY\n6vS4B7bDM7Thlxy3w1hZiubYJpDJ8bpnptXSbUzplQLW7zE3Uv7w0Dt4uXvbLW9r2LU1m7M5F/Hw\ndOWJqQPx8HR1dJEEodWSJAljbR36K1XoK2swqGsxquuufVXVYrz+/7XmrwZ1LUZVLQZ13XXn12LS\n6G6ZX+cfP7bZtYjGgp1U7Mur11C4nra8Gk1JBR5BHayS1++7jP39/fn555+JjY3l8uXLvPnmm8yc\nOZONGzcCoFar8fW9NqnQx8cHlUplCfPxqf9Wztvbm/PnzwNQW1tbL+718a/2LtwsbWuTTCaQAJnM\nKTcM0mvN3w+FqydyedPe1hmN5muSy1t2TZLRiGQ0gVyG3MX5fu0NJglJklDIZcgbGfIgxvy2DZLB\nROWhAsA8V8GaQ13Ue78EkwGPfuNw8WveKkS3e3+ZTEY+2/o39EYdI2MS6ddj+G2l4yjpaUUc+bUQ\nuULGuGf706Gj9ZavFa4R9VfrZdRo0V+pQnelEt2VKvSWr1XoLtc/prtSif5KFSbtrR/wm0Uux0Xp\nicLLE7m7GzKFHJmLAplcgUxh2x5A53tqaKP0l2/+gCzpjKhyyq3WWPh9z4JSqbT0KnTq1InFixfT\np08f1Go1SqUSpVJJTU2N5fzq6mq8vb0tca8Payi8urq6wfCrvRE1NTX4+/vfENfaLm7NRHWqjE4J\nsfhEd7VJHi1R/FYoniYTPn85gXeHoCbF2bDsECUFFUz6wxCCu9/+m9f85NWcXvAJ3Wc/S+93Xr7t\ndGzl7dQ8jpXWsOjhcAZ0s95qOILzqjl5DqNKi1snb7zCO1ktXUlXS+2+FQAoR9rvXv/p2HpyzqXT\nXtmRKaP/ZLd8raEg9xI7U7IAePCxmBbVNYLQ2hhUaupKyqkrKUdTfN78tfzidY2BSnSXqzDWNvzC\n91YUnh64+rfD1dcHhbeX+WHf2wsXL69rn5WeuHh7mb8qlb999bzhfLmn+y1fqhw9erQl34ZbEo0F\ne2nkrbDc3Xo/iqa+obs6hyEyMpLMzEz69+8PQGZmJpGRkZawwsJCVCqV5SE/MzOTSZMm1Yt7VX5+\nPjqdjvDwcJRKJQEBAWRkZDBq1CgATp48SZ8+faxyncKdae/eveLtXCsnmUxUpuUD5rkK1uxVqD20\nDqm2EtfQQbh1b/7k4tu5v85XlrB2t3kIwIwH38Lbo/U0eC9dULF5dTqSSWLIyB7EDOzm6CK1aaL+\nsi9JktBfqbrWGPjtq+X/xWXoK2saTwiQubrg5tceV792uPm1x82vHa7+1/+/A26/hbn6tcOtQzsU\nXm1jE0PRWLATr+4d0RReaTBM4e2Ob7+Wb9hjNBrR6/UYDAaMxv/P3n2HR1GtDxz/zpb0HgiBEFJI\n6KETQbr0gICgoIKgYkNUruUnoHKvigIXFa8NryVeAQvFgvReBASCdAmQQAIJKZCQtmmb7M78/ohE\nEZBNMpvdTc7neXwed7Nz5p1wMjunvceM0WhEq9Vy7NgxvLy8aN68OXl5ecycOZPevXtXTi+69957\nWbRoEQMHDkRRFBYtWsQTTzwBQEREBO3atWPBggW89NJLbNmyhVOnTnHnnXcCcPfddzNkyBD2799P\nVFQUc+fO5c4776wcVRg/fjzvvPMOnTp1IjMzk6VLl/LRRx/V+FoFQXBchaczMeWXoPNxw71loGrl\nKrJM0a7/AuDez7JN2GpKVmQ+3TgHY3kpPVsPpWtkv1o5rxqKi8r4cfEhyowmIts2ovegSFuHJAhV\nosgyxstXKEm9vjFQkppB6cVLtxwR0Dg74dI0ENc//efSpCFO/r7o/X0qGwBaD7d6mxlMNBZqiXen\nEIoTL1OalnfN+5Jeg3uLRqqkUH377bdZsGBB5esVK1YwY8YMIiIimDNnDtnZ2Xh6etK/f38+++yz\nys89+OCDnD9/vrK3Y9KkSUyePLny57GxsUybNo3mzZsTHBzM4sWLKxdHt2rVioULF/LYY4+Rm5tL\nv379+PDDPxbZzJw5kxdeeIH27dvj6urK9OnTueOOO2p8rUL9JXrlHJuiKOTtTwLA57YwVdcXGU9v\nw3w5EY1PE1zaj6hWGVWtX9uP/cjJlF/xcvNl8oAXqnVOWzCVm1m19DD5uSU0CvIi5p72drnWq64R\n96+qUcxmSjOzf3/wz6xoFKRmVDYGStIuoZSV/20ZWg83XIMbX9sYCP7j/50a+CJZuI6wvhKNhVoi\n6TQE3tOVnF0JlF7MRS43o3XT49GmCd6dmqlyjhkzZjBjxowb/mzMmDF/e+yrr77Kq6++esOfBQcH\ns3r16pseO3bsWMaOHXvDnzk5OfH+++/z/vvv/+35BUGoH4rPZlF+pQitp4vqa4uKdv6+CVvvx5C0\n1s/kk12Qwdc73wPgoYEz8HJTZ92ZtSmywobvT5Cekoentwt3PdAZvZNlm9YJgppkkwljRlbFg39q\nxu+NgT+NDKRfQjGZ/7YMvb9PxYP/nxoAfx4p0Hl71tsRAbWIxgI3TzWqNo1eS4OBYr6+Wq77d5Mk\n0Eh2e1OQ0WDixntd3IxGK6HRqnA9GglJr0PS2ucDgVYDOo2ExK2vVcz5dWz5hy4A4NM1RNUMHuXp\n8ZQl7ERycsOtx6Rql2Np/VIUhc82vUlJWRHRLe6ge8uB1T5nbduzNZEzxzNxctYyZlIXPLzqxrxq\nR1Af71+KomC8lE1hwnmKEpIpTLxAUeJ5ilPSKU3PgpvsAXWVc4B/xcN/cOM/GgS/jxS4BAeic3Os\nHdIdkWgs/E5RFLt9yBSud6MGXkBMFAExUTaIxjIRCy9X+ZhxU9TZfyN82kTCp01UpSxrmDs0wtYh\nCLXAeNlAaWoOkl6LZ5RlGcEsdXWtgmv0/Wjc1NsJ+mZ+/m0tx5L34e7ixcMDZzjM98eJXy9yYGcS\nkkbizvs60bCx5RvWCcLfUWSZ0rRLFJ5JpjDhPIWJ5ylKOE9hQjImQ9GND5IkXJoE/NEY+PMIQXBj\nXIIaoXVxrt0LEa4jGgtU7AOQk5NTmd5TsH85OTnX7e8g1A/1rVeuLik4kgKAZ7sgVTPAmQ1ZlBxa\nCZKEe9/Ha1SWJfUrpzCLJdvfAWDygBfw8WhQo3PWlgtnr7Bl1UkABo5sQ1gLx4i7LqkL9y/ZZKLk\nfBqFiRcoTEimKPF8xahB4gXMJaU3PEbv64VHyzDcI0PxaBGGR2QIbmFNcWkcgMZJbP5n70RjgYpN\nxoxGI+np6Q7TO1SfKYqCs7Oz1fZrEARBfeaSMgrj0wHw6qzOOq2rivd+ASYjzm2HomvYXNWy/0pR\nFGI3z6PIaKBT8170bhNj1fOppSJF6hFkWaFb71A6RNc8A59Q95mLS8k/Gk9u3HEMJ89WjBYkpd50\nUbFzowa4R4ZUNAhahOLRIhT3FqE4+fuK5ysHJhoLvxOjCuqqj/Myhdoh6pZjMpxIQzHJuIY1wMlP\nvd2BFZOR4j1fAOqkS71V/frl1CYOnd2Fq5MHjwx+ySEegIoMRn5YfAhjaUWK1D5DWto6pHrL3u9f\nxuwc8uJOkBt3jNwDxyk4ceaGC4xdmjaqbBD8ebRA7yNG/Osi0VgQBEEQrEqR5copSN4qjyqUHP4e\nuTALXZO2OEVY9yEsvyiHL7e9BcAD/f+Bv2cjq55PDeVlZn5cepiC3BICm3qLFKlCJUVRKE5KJTfu\nOLkHjpEbd5zipNRrP6TR4BXVAp9u7fHu0Or3qUQh6NzdbBO0YBOisSBYhS16ThRZBgWQJLv8Miw3\nVizw0upd0ViY09lsrrgmjaZm16SYzShmGTQSGp39/dmbZAVFUdBqJDS36Km151454caKz2ZhKihF\n5+OGa5h68+SVshIKN1bsLePe70lVevn/rn59uW0BhpI8okJuo3/70TU+l7UpssKGlcfJvJiPl4+r\nSJFqB2x5/5LLyin4LYHcA8fJjTtGXtwJyq7kXvMZrasL3l3a4ntbB3y7ReHTpR06T/VGAgXHZH9P\nDYJQTVkbfqMwPoOGMVGq529XQ+qsEFxlGc9/HcfD17JMMCtjD3LxfC7jH40mOMyv2udOXvQNCW9+\nTNhTE2n5ypPVLsdaXt54jiPpBuYPa07nIDGMXdfkH/5jVEHNaTuFOz/CnJOCrnEbXLvco1q5NxKX\nsJ19p7fgrHflsaGvOMT0o583J5Bw8hJOzjrGTO6Mu6fIKlOflOcbyPv1N3IPHicv7jh5h08il5Zd\n8xmnhn743tYe3+gO+Ea3x7NtJBq9eDQUrlVrNSI0NBQvLy+0Wi16vZ64uDhycnIYP348Fy5cIDQ0\nlBUrVuDjU5Hybt68eXzxxRdotVref/99Bg8eDMChQ4d48MEHKS0tJSYmhvfeq9gQx2g0MmnSJA4f\nPoy/vz/Lly8nJCSkti5P+At7n5cpOC5RtxzLNelS2wWpVq45N43CLe8C4DV2PpJWna+zG9UvQ0ke\nsVvmA3B/32do6G1/nRF/dSwulYM/J6PRSIya0JEGjUSKVHtg7ftXaUYWmWu2k/nTNvIOn4S/pBl3\nbxGKb3R7fLu1x/e29riGBDlEw1ewrVprLEiSxM6dO/Hz+6N3dP78+QwaNIgXX3yRf//738yfP5/5\n8+cTHx/P8uXLiY+PJy0tjYEDB5KYmIgkSUydOpXY2Fiio6OJiYlh48aNDB06lNjYWPz9/UlMTGT5\n8uXMmDGDZcuW1dblCYIgCDdgrXSpBWv+BeUluHQYhbOV1yos2b6Q/KIrtA7uzKBOd1v1XGo4n5jN\n1tXxAAwc1YaQCJEitS4zZudwae1OMn7aSu7+Y5UNBEmvw7tj699HDaLw6RqFk7/19yAR6p5aHWv6\n60Zaq1evZteuXQBMnjyZfv36MX/+fH766Sfuu+8+9Ho9oaGhREREcODAAUJCQjAYDERHV2xUNWnS\nJFatWsXQoUNZvXo1r732GgBjx47lqaeeqs1LE/5C9PwK1iLqluOwVrrUsnP7KD38A+hd8Bz1umrl\nwvX16/C53ew+uQ4nnQuPD/0nGkm9XaetITvTwOpvjqDICtF9w2nfTaRItSdq3b/Kcgu4vGEXGT9t\n48ruXyt3QdY4O9Fw4O0EjhpAw4G3i92NBVXU6sjCwIED0Wq1PP744zz66KNcunSJRo0qskk0atSI\nS5cuAZCenk737t0rj23atClpaWno9XqaNv1jrndQUBBpaWkApKWlERxccVPU6XR4e3uTk5NzzUgG\nwLRp02jWrOJLy8vLi6ioqMo/3j179gCI1w76Ou7UUUouXGEoUXYRz19fH8pUcJJhAFh8fELSKdw0\nwaqcP14uJjc1matJE239+/jra8O5oxw7mEXnoMF2EY94XfPXhaczaGHywjWsAXHxR1Qpv+ftPcj/\nYSZxmeDabTSD/dT5+7jR69KyYr4/vRCA9l4DOXvyAoG9rHe+mr4uKS4j+aiGMqMZ2TkTyc0daGE3\n8YnXNXttLi4lIt9E5k9b+Xn7DhSTmTYaNyS9jrQOIfj36sLwZx5H5+nOnj17OHf4kF3FL16r+/rE\niRMUFBQAkJKSwpQpU7AWSflrd7+VZGRk0LhxY7Kyshg0aBAffPABI0eOJDf3j5X4fn5+5OTk8PTT\nT9O9e3cmTJgAwCOPPMKwYcMIDQ1l5syZbNmyBYDdu3ezYMEC1qxZQ1RUFJs2baJJk4q5pBEREcTF\nxV3TWNi2bRudO3eujcut9/bsqf155ZfXn6DwVAYBw6LwaNO4Vs9tibPPBeAsm/CtwgLnFbFxXDyf\nyz0Pd6vRAuekj74icf6nhD05gRazarbDrTW8tPEsR9MLeXNIczoF/f3calvULaHqFFkm9bPdmApK\nCRzbGbfwhqqUW/zLYvJXPIvGJ4iAlw4gOambwvHP9evTjXPYfnwVkU2ieO3+WDQa+80kVF5mYvln\ncWSmFdA42Idxj3RDr7ffeOurqt6/TMUlZG39hcxVW8natg/Z+PsCZY0G/95daTxqAAHD+uLkKxJD\n1HeHDx9mwIABt/5gNeisUuoNNG5c8fDWsGFD7rrrLuLi4mjUqBGZmZkEBgaSkZFBQEAAUDFikJr6\nR67fixcv0rRpU4KCgrh48eJ17189JiUlhSZNmmAymcjPz79uVEGo2wJiogiIibJ1GDcVsfBylY8Z\nNyValXOHT5tI+LSJqpRlDXOHRtg6BEFl1kiXKhfnYVj3BgBeo15XvaHwZ8fP72f78VXotHqeGPYv\nu24oyLLCuuXHyUwrwNvXlbse6CQaCg7MXGoke8cBMn/ayuVNezCXlFb8QJLw7dGRxqMG0mhEP5wb\niGccoXbUyuTL4uJiDAYDAEVFRWzevJmoqChGjhzJ4sWLAVi8eDGjR1fkrR45ciTLli2jrKyM5ORk\nEhMTiY6OJjAwEC8vLw4cOICiKCxdupRRo0ZVHnO1rO+++85qrSvBMqLnV7AWUbccgzXSpRo2LUAu\nuoJT89tx6WidfQ569epFSVkRn22saJTc3fNxgvzDrHIutfy88QxnT13G2UXHmAe74OYhUqTaq5vd\nv2STiaxt+zj+zBx2RI3gyEMzyVi1FXNJKT5d2tHq9en0O7yK235cRLMHx4iGglCramVk4dKlS9x1\n110AmEwmJkyYwODBg+natSvjxo0jNja2MnUqQJs2bRg3bhxt2rRBp9OxaNGiyi+bRYsW8eCDD1JS\nUkJMTAxDhw4FYMqUKTzwwANERkbi7+8vMiEJgiDYiDXSpZZnnqZ492cgafAaM8+q6R6/3fUhWQUZ\nhDdqzZ3RD1jtPGo4sj+FX/ecR6OVGD2xM/4NPWwdklAF5lIj6Ss2kPThV5SkpFe+7xXVgsDRA2k8\ncgCuwfY3rVaoX2ptzYI9EGsWao+YVy5Yi6hb9i9r00kMxy/i1akZDQa2rnF5iqKQ89+7KTuzA7fb\nH8R73EIVoryxr3/4gjVnP0Kr0TF30leEBERa7Vw1lXQmix+XHEJRYOjdUbTrrN4+FoJ1XL1/mYqK\nSV3yE+f/+y3GS9kAuIUG0WRcDI1HDcC9uXrZw4T6oU6sWRAEQRDqPmukSzX+toGyMzuQXL3xjHlZ\nlTJvxGQuZ23cV+AHd/V42K4bCpczCljz7VEUBXr0by4aCg7CZCjm7DtfcOHzFZTnVmSy8WwTQfj0\nSQSO6I+kFWtNBPsjGguCVdii51eRZVAASULS2N+OlOXGIgC0elc0GsuWC5nNFdek0dTsmhSzGcUs\ng0ZCo7O/P3uTrKAoClqNhOYW00vEqIJ9M5xIQzHJuIY1wMnPvcblKeWlFKx6BQDPYTPRePjXuMyb\n2X58FYpfPo19Qxjd/WGrnaemDPml/LD4EOVlZlp3aMztA0WCAHtnvHyF8/9dRvniHzlbVAyAT9d2\nhP9jMg0H3C52URbsmv09NQhCNWVt+I3C+AwaxkTh2baJrcO5TuqsEFxlGc8qpE5dGXuQi+dzGf9o\ndI1SpyYv+oaENz8m7KmJtHzlyWqXYy0vbzzHkXQD84c1p3OQSAHoqBRZrtyx2VulUYWinR9jvnIe\nXWBL3Hpa7wG+pKyI7/Z+AsB9fZ9Gp9Vb7Vw1UWY08ePSwxQWGAkK8WXImHbiQdOOlaRmkPzR11z8\ndm1l2lP/vtE0nz4J3x6dxL+d4BBEY0GwCjGvXLAWUbfs19V0qXpfddKlmvPSKdxSsT7B6655SFZ8\ngF8Tt4SC4lzci4PoFtnPauepCVlWWLv8GJfTC/Dxd2PUxE7oRIpUu1SYeIHkD5eS/v0mFJMZgEYx\nfbncux3dHppg4+gEoWpEY0EQBEFQxdV0qV6d1EmXalj7OkpZEc5Rw3Fu2a/G5d1MTmEW6w5+BcDA\njmPttrf31z3JJJ3OwsVVz9jJXXBzd7J1SMJf5B8/Q9L7i7m0bhcoCpJWS5O7hxD29AN4tgyv3IlX\nEBxJtRoLJSUlaDQanJ1FLmfhxkTPr2Atom7ZJ7XTpZYlH6Tk1xWgc8Zr1BwVIry57/Z+grG8lOgW\nd3Df6MlWPVd15WQVsXfrWQCGj2+Pb4OarwcR1JOz/yhJ7y8he/t+ACQnPU3vHU7YtAm4hfzx9yDu\nX4IjsmiV5fPPP8+BAwcAWLduHX5+fvj6+rJ69WqrBicIgiA4hqtrFTzbBaFxrtmgtSLLFPwwAwCP\n/k+haxBa0/Bu6mJ2EjuO/4RG0nJfn6esdp6akGWFjd+fwGySadcliLAWDW0dkkBFSt+s7fs5MGoq\ncaOfJHv7frSuLoQ+cS99476j7YIXr2koCIKjsqix8PXXXxMVFQXAa6+9xldffcXq1at5+WXrpbAT\nHJtNhlolCTSS3U4hkNFgquIxGq2ERqvC9WgkJL3ObtPyaTWg00hI3PpaxTC+/VE7XWpJ3NeUpx5F\n490E94H/qHF5f+fbXR+gKDIDO46hsV+IXdavo/tTSE/Jw93TmX4xrWwdjkDFSMK+IQ9z6P7nyD1w\nDJ23J82ff5i+h36k1avP4BJ44wadPdYvQbgVi7p/SkpKcHNzIzs7m+TkZMaOHQvA+fPnrRmbIFRJ\nQEwUATFRtg7jpiIWXq7yMeOmRKty7vBpEwmfNlGVsqxh7lCR+tGRqZkuVS4pwLD2DQC8Rr6Kxtl6\n023iUw5x6NzPuOjdGHP7o1Y7T03k5RTz86YEAAaNbouLq31maaovynILSJjzERe/WQOAU0M/Qp+4\nl2aT7kLnKaaGCXWTRY2FyMhIvv76axITExk0aBAAWVlZuLm5WTU4wXGJeZmCtYi6ZV/UTpdauGkB\ncmEW+rDbcOk8tsbl3YyiKHy98z0A7rxtEj7uFfs32FP9UhSFTT/8hqncTKsOjYloHWDrkOotRVHI\n+HELp//5HmXZuUhOepo/M4mwaRPRulq+ftOe6pcgWMqixsKiRYuYPn06Tk5OxMbGArBp0yYGDx5s\n1eAEQRAE+6ZmulTTpQSKfv4UJAnvMfOtOqVw/5mtnMs8iY97A4Z3tc9Rt+MHL5KalIOruxN3jGht\n63DqreILaZyc8RZXdsYB4NujI20XzMAjMsTGkQlC7bBozUJ0dDT79u1j165dRERUTBeYOHEiS5cu\ntWpwguMS8zIFaxF1y76olS5VURQKVr0MsgnX2yaiD+6gVojXMZnL+fbnDwG4p9cTuDi5Vv7MXupX\nQV4JuzacBmDgna1FmlQbkMtNJH24lD39JnJlZxx6H0/aLZxF9PcfVruhYC/1SxCqwqLGwvbt20lK\nSgIgIyODSZMm8dBDD5GZmWnV4ARBEAT7pWa6VGP8ZoyntiG5euE5/BWVIryxLUe/43LeRYL8w+gX\ndadVz1UdiqKwZdVJyoxmIts0okVUoK1DqnfyDv3GL4MfIuGNj5FLjDQeO4Ree76l6f13ImksenQS\nhDrDohr/5JNPotNVzFh67rnnMJlMSJLEY489ZtXgBMdli3mZiiyjmGUUWan1c1ui3FhEubEIWZYt\nPsZsljGban5NitmMXFaObKpqPqbaYZIVys0ysnLr6xRzfu2HWulSFZORgh8rsut5DHkRraf1UoMW\nGw388MvnANzf9xm0mmvjtof6FX8kneSEbFxc9QwY2dpuM7zVReUFhcTPfJv9Ix6n8NQ5XEOC6Lrs\nXTp89C+cG/jVuHx7qF+CUFUW3d3T09Np1qwZ5eXlbNq0iQsXLuDs7Ezjxo2tHZ8gWCxrw28UxmfQ\nMCYKz7ZNbB3OdVJnheAqy3j+6zgevk0tOmZl7EEuns9l/KPRBIdV/4sqedE3JLz5MWFPTaTlK09W\nuxxreXnjOY6kG5g/rDmdg7xsHY5gATXTpRbt+gRzdhK6Ri1w723drESrDyzGUJJH6+DOdG7e26rn\nqo7CglK2rz0FQP/hrfDwcrFxRPWDoihcWreTU6+8izEzG0mnJWzq/TR/9iG0buLfQKjfLBpZ8PLy\nIjMzk59//pm2bdvi6emJoiiUl5dbOz7BQYl5mYK1iLplH9RKl2rOz6Rw89sAeN31JpLWeqlBrxgu\nse7XbwCY0G/6DXvsbVm/FEVh6+p4jKUmwlo0oE0n++v0qItKLmZyePIMjj7yMsbMbHy6tOP2LV/S\n4uWpqjcUxP1LcEQWjSw8/fTTREdHYzQa+c9//gPA3r17ad1aZGcQBEGob9RMl2pYNwfFWIhz26E4\ntxqgRng3tXLPfyk3GenRahARjdtZ9VzVkXAik7Pxl3Fy1jJodFsx/cjKZJOJlJVjH80AACAASURB\nVC++J3H+p5iLS9B5utPipakETx4t1iUIwp9Y1FiYMWMGo0ePRqvVVmZDatq0KZ9//rlVgxMcl5iX\nKViLqFu2p1a61LILv1IS9y1onfAa/YaKEV4vJSuRXSfWoNXouLf3tJt+zlb1q7iojK1rKqYf9R3W\nCi8f11scIdRE/vEznHxhPgXHzwDQ6M7+tJ7zj5vuvKwWcf8SHJHFK9LCw8PZt28fBw8eJCgoiNtv\nv71y0bMgCIJQf6iRLlWRZQq+nwWAe7+p6BqGqxbfjXyz6wMUFAZ1uptGvsFWPVd1bF9zipKiMpo1\n96N9N8vWNAlVZyoq5uyCzzn/2QqQZVyCGtFm/gsEDOpp69AEwW5ZNM52+vRp2rRpw/3338/777/P\n/fffT6tWrTh16pS14xMclE3mZUoSaCS7HbqX0VDVXEQarYRGq8L1aCQkvQ5Jq615WVag1YBOIyFx\n62sVc35tS610qSW/Lqc85RAar0A8Bj2nYoTX++1CHEeT9uLq5MGYHo/87WdtUb8S4y9x+ngGOr2W\nwXe1s9t7mKO7vGUve/pO4PwnywAIffxeev38da02FMT9S3BEFg0NTJ06lccee4wXXngBSZJQFIV3\n3nmHJ598kh07dlg7RkGwSEBMFAExUbYO46YiFl6u8jHjpkSrcu7waRMJn2afu9QCzB0aYesQBAtV\npkuNqn66VLnUgGHt6xXl3PlPNC6eqsV33bkUma93vgfAqO4P4uXma7VzVUdpSTlbf4oHoM+QFvj4\nudk4orqnJDWDU7P/w+WNuwHwat+Stm/NwLtDKxtHJgiOwaI7/dGjR9m6dWtlb4ckSUyfPp033rDu\nHFPBcYl5mYK1iLplO9ekS+1U/YXNhZvfQS64hD6kK65dxqkV3g39cmoTyZdO4+cRwLAu997y87Vd\nv3asO02RwUhQiA+dutdssbhwLdlYRvLH33DuvcXIJUa07m5EvvgIzabcjcZG06jF/UtwRBb9tTRp\n0oSdO3cyYMAfmSp2795NUFDNduwUBEEQHIca6VJNWeco2vUxAF5j5lk160y5qYzlP38EwLjeU3HW\n29ei4eSELE4eTkOr0zBkTBSSRkw/Ukv2rjjiX1pI8bmKkbDGowfS8tWnrb6AWRDqIosaC/PmzWPU\nqFGMGDGCZs2aceHCBdatW8dXX31l7fgEB7Vnzx7RgyJYhahbtqFWulTD+rlgLsc1+n6cQrqoFd4N\nbTq8nKyCDIIbRNCn7XCLjqmt+mUsNbH5x5MA9BwYgV/D6u9VIfyhNP0yp//1PplrtgPgHhlCm7nP\n49+7q40jqyDuX4IjsqhLZ+TIkRw+fJi2bdtiMBiIiori0KFDjB492trxCYIgCHZAjXSp5enxlB75\nEbROeA6bpXKE1yosyefHfbEATOj3DBqNfS3u/3njGQz5pQQGedG1Z6itw3F4crmJ5I++Znev+8hc\nsx2tqwstXplKz21L7KahIAiOyuJJey1atGD27NnWjEWoQ2zRc6LIMiiAJNnlcH65sQgArd4VjYVT\nL8zmimvSaGp2TYrZjGKWQSPZbK7u3zHJCoqioNVIaG6RCUb0ytmGGulSCzfOB8Dt9slofa07jXXV\n/v9RZDTQtlk3OoTdbvFxtVG/Us5d4VhcKhqtxJCxUWi0YgOwmsj55TDxM9+hMCEZgEbD+9HqtWdw\nbRpo48iuJ+5fgiO66VPDAw88cMuDJUliyZIlqgYkCNWVteE3CuMzaBgThWfbJrYO5zqps0JwlWU8\n/3UcD1/L8qivjD3IxfO5jH80muAwv2qfO3nRNyS8+TFhT02k5StPVrsca3l54zmOpBuYP6w5nYO8\nbB2O8BdqpEstTz1K6fG1oHfBY+CzKkd4raz8dDYerkiPOaHfdLtKRVpeZmLTj78B0L1/cxoGWi8T\nVF1XeimbM69/RMb3mwBwCw2i9dznaXhHdxtHJgh1y00bC82bN69Mk3oz9nQDFuyLmJcpWIuoW7VP\njXSphg3zAHDvNQWtt3V7fFfs/hiTuZyerYcSHti6Ssdau37t2ZJIfk4JDQM9ua2PdTeiq6tkk4mU\n//3A2QWfYTIUoXFxIvyZyYQ9eT9aF2dbh/e3xP1LcEQ3veu/+uqrtRiGIAiCYI/MxTVPl1qWfBBj\n/BYkJ3fcB0xXM7zrJF86ze749ei0esb3tq9RtLQLuRz65QKSRmLI2HZodWL6UVXlxh0nfubbGOLP\nAtBwUE9av/ksbs3sbzRZEOoK+5u8LNQJoudEsBZRt2pXzs8JKCYZt/CG1U6XatgwFwD3vo+j9aje\n4mhLKIpSuQHbkM7jCfCp+pQpa9UvU7mZTd//BgpE9wkjMMjbKuepq4zZOSTM+Zi05esAcA1uTOs3\nnyVgsGPdD8T9S3BEorEgCIIg3FBpWh6GE2mgkfDr37JaZRjP7qUsYReSiyfu/aapHOG1jp/fz28X\n4nB39uSu7g9b9VxV9cv2c+RkF+HX0J0edzS3dTgOQzGbSV3yEwnzP8GUb0By0hM+bQLhT09C6+Zi\n6/AEoV4QY6CCVezZs6f2TypJoJHsdi2NjAZTFY/RaCU0WhWuRyMh6XVIWvtKH3mVVgM6jYTEra/V\nJnWrHlJkmeyt8QD4RIdVa1RBURQK1/8+qtB/Ghp3X1Vj/DNZNleOKozu8TAertXrubdG/cq8mM/B\n3ckgwdCx7dDp7fPv0N7kHznFvphHiZ/1NqZ8Aw3630avnV8ROeMxh20oiPuX4IjEyIJQZwTERBEQ\nE2XrMG4qYuHlKh8zbkq0KucOnzaR8GkTVSnLGuYOjbB1CMJfFBxNpeyyAZ2XCz7dq7cQt+zMDsqS\n9iG5+eLe9wmVI7zW7vj1pGQl0sArkCGdx1v1XFVhNsls/OEEiqzQpWcoTZpZr8FUV5iKikmc/ykX\nPl8JioJLkwBavT6dRsP72W1nkCDUZTdtLMTGxlb+USqKctM/0Icftq+hXsE+iHmZgrWIumV9piIj\nObsrFpD639EaTTV6whVFwbC+IgOSxx1Po3GxXkrcsvJSVuz+GIBxvZ/ESVf9jDhq168Du5LIzizE\nx8+NXoMiVS27Lsravp/4GQsoSc1E0moJffxemj//EDp3N1uHpgpx/xIc0U0bC0uXLr2msbB3714C\nAwMJDg4mNTWVzMxMevXqJRoLgiAIdUzOzjMoZSbcwhviFtGwWmUY4zdTnnIIjUdD3Ho/qnKE19pw\neBlXDJcICWhBrzbDrHquqjifmM3+HecAGDKmHXonMf3oZsqu5HHqn+9V7pngFdWCtu/Mwrt99dbK\nCIKgnpuuWdi5cyc7duxgx44dREVF8dZbb5Gamsovv/xCSkoKb7/9Nu3atavNWAUHIuZlCtYi6pZ1\nlaTmUBifgaTT4D+gVbWmfSiyjOHqWoWB09E4Vy+LkiUKinNZte9/QMUGbBqpZkvx1Kpfl9MLWP3N\nEWRZIbpPGMHh1d9UsS5TFIX07zexu8/9ZHy/CY2LEy1nT6P7hs/rZENB3L8ER2TRmoWlS5dy5cqV\nyteSJDFt2jQaNGjABx98YLXgBEEQhNqjmGWyt54CwOe2cPQ+1Zv6UXpiLaa0E2i8G+N++0Nqhnid\nFbs/pqSskPah3Wkfah879+bnlvD94kOUGc20at+Y3oNb2Doku1SSmsnJGQvI3r4fAL9eXWj71gzc\nwyzb4V4QhNphURdMYGAgP/300zXvrVmzhkaNGlklKMHx2WJepiLLKGYZRb75ruO2VG4sotxYhCzL\nFh9jNsuYTTW/JsVsRi4rRzZVNR9T7TDJCuVmGflvdoy/Ssz5tZ78wymUZxei83HFOzq0WmUospnC\nDfMB8Bj0HJKTq4oRXuvAmW1sPfY9Wo2OCf3+oUqZNa1fJcVl/PDlrxQZjASH+zH07igkjViU+2eK\n2cz5z1awp+8EsrfvR+ftSbv/vES3le/X+YaCuH8JjsiikYUPPviAsWPH8vbbb9O0aVNSU1M5efIk\nK1eutHZ8gmCxrA2/URifQcOYKDzb2t9unqmzQnCVZTz/dRwPX8u+EFfGHuTi+VzGPxpNcFj1pzEk\nL/qGhDc/JuypibR8xb52tQV4eeM5jqQbmD+sOZ2DrLcQVrg5k6GU3L0Vi5obDGyDRle9+fWlR37E\nlHkarW9T3LpbLwPX5bw0Ptn4OgAT+/+DkADbLx42lZv56asjXMkqokEjD0ZN6IRO7NJ8DcPpc/z2\n3HzyD58EIPDOO2j95rM4B/jbODJBEG7GorvYoEGDSEpK4oknnqBLly5MnTqVpKQkhgwZUqWTmc1m\nOnXqxJ133glATk4OgwYNokWLFgwePJi8vLzKz86bN4/IyEhatWrF5s2bK98/dOgQUVFRREZGMn36\n9Mr3jUYj48ePJzIyku7du3PhwoUqxSaoS8zLFKxF1C3ruLLjDEq5GffIRriFVW+XZcVswrDx3wB4\nDP4/pBpkJfo7JnM57695iWJjIV0j+jG0872qlV3d+qXICutXHufi+Vw8vJwZM7kLLq561eJydLKx\njMQFn/HLwAfJP3wS58AGdPpyPh0/e6NeNRTE/UtwRBZ3eTRo0IB+/frRp08fJk2aRIMGVf8yee+9\n92jTpk3lgrn58+czaNAgEhISGDBgAPPnVwxdx8fHs3z5cuLj49m4cSNPPvkkyu/TE6ZOnUpsbCyJ\niYkkJiayceNGoCLVq7+/P4mJiTz77LPMmDGjyvEJgiDUR8Xnr1B0JhNJr8X/juovKi35dTnmrHNo\nG4ThGq3eA/xfLd+9iLMZv+HvGcgTw/5pF7n3d244TcJvl3By1jH2wa54+Vhv+pWjyT1wjL0DJ3Nu\n4f9QTGaCH7yLXj9/Q6OhfWwdmiAIFrCosZCSkkLPnj1p3bo1AwcOBGDlypU88sgjFp/o4sWLrF+/\nnkceeaTywX/16tVMnjwZgMmTJ7Nq1SoAfvrpJ+677z70ej2hoaFERERw4MABMjIyMBgMREdXbFQ1\nadKkymP+XNbYsWPZtm2bxbEJ6hPzMgVrEXVLXYpJ5srvOzX79ghH51W9h1zFVEbhprcA8BjyIpLW\nOr3qR5P2siZuCRpJyzMj51Z7p+abqU79+nVPMof2XkCjlRg9sRMNAz1VjclRmQxFnJz5FgdGTaUo\n8QLuEc2IXrWItvP/D72Xh63Dswlx/xIckUVrFh577DFiYmLYvXs3/v4Vw4WDBw/m+eeft/hEzz77\nLG+99RYFBQWV7126dKlykXSjRo24dOkSAOnp6XTv/kdWi6ZNm5KWloZer6dp0z/megcFBZGWlgZA\nWloawcHBFRel0+Ht7U1OTg5+ftfO8542bRrNmjUDwMvLi6ioqMo/3qvDg+K1Y76OO3WUkgtXGEqU\nXcTz19eHMhWcZBgAFh+fkHQKN02wKuePl4vJTU3mar+xrX8ff31tOHeUYwez6Bw02C7iqS+v2+qa\nUJ5bzNHcJBoa3ehNeLXK2xb7OkXxKdzeoQWuXe62SryG4jx+OPMuAB28B5GVbKBlEDb9/TXwas7O\n9We4kB5P9/7Nadbc36bx2Mvrte8uIvnT5UTmliPptOSO6onb2CH4de9oF/GJ1+K1o78+ceJE5TN1\nSkoKU6ZMwVokRbl1+hE/Pz+ys7PRaDT4+vqSm5sLgLe3N/n5+bc8ydq1a9mwYQMfffQRO3fu5J13\n3mHNmjXXlHX1PDk5OTz99NN0796dCRMmAPDII48wbNgwQkNDmTlzJlu2bAFg9+7dLFiwgDVr1hAV\nFcWmTZto0qRiYWtERARxcXHXNBa2bdtG586dq/DrEaprz549lZW6tlxef4LCUxkEDIvCo03jWj23\nJc4+F4CzbMK3CgucV8TGcfF8Lvc83K1GC5yTPvqKxPmfEvbkBFrMerza5VjLSxvPcjS9kDeHNKdT\n0N/3ytqibtVV5fklXPxiD4pJpvG4rriGVG/uuFJeyuU3uiLnp+Mz+QtcO41WOVKQZTNvLJ9KfOoh\n2od2Z+Y9H9R4T4UbqUr9Sk3O4bsvDmI2K/QZ2pLoPmGqx+NojFk5nHr5XTJXV4zue3dqQ7uFs/Bs\n3dzGkdkHcf8SrOXw4cMMGDDg1h+sBp0lHwoMDCQxMZGWLf+YyxofH09ISIhFJ/nll19YvXo169ev\np7S0lIKCAh544AEaNWpEZmYmgYGBZGRkEBAQAFSMGKSmplYef/HiRZo2bUpQUBAXL1687v2rx6Sk\npNCkSRNMJhP5+fnXjSoIdVtATBQBMVG2DuOmIhZervIx46ZEq3Lu8GkTCZ82UZWyrGHu0Ahbh1Av\nXdl+GsUk494qsNoNBYDifYuR89PRNWmLS4eRKkb4hx/2fU586iF83Bvw5PDXrdJQqIrsSwZWLT2M\n2azQqUczuvUOtWk89iBj1RbiZ75NeZ4BrasLkS89QcjDY5G0YudqQXBkFt1tX3jhBUaMGMEXX3yB\nyWTi22+/Zfz48bz44osWnWTu3LmkpqaSnJzMsmXLuOOOO1i6dCkjR45k8eLFACxevJjRoyt6o0aO\nHMmyZcsoKysjOTmZxMREoqOjCQwMxMvLiwMHDqAoCkuXLmXUqFGVx1wt67vvvrNa60qwjOg5EaxF\n1C11FJ/LovjsZSQnLf79q7+oWSkrpnBLxdQgz2GzkDTqP8SfTDnI93s/Q0LiqRFz8HG3XvYcS+qX\nIb+U7788hLHURGSbRvQf3touFlnbiiLLJMz7hGNP/IvyPAMN+t9Gr5+/JvTRcaKh8Bfi/iU4IotG\nFh5++GH8/f3573//S3BwMIsXL2bOnDmVD/dVdfWmOnPmTMaNG0dsbCyhoaGsWLECgDZt2jBu3Dja\ntGmDTqdj0aJFlccsWrSIBx98kJKSEmJiYhg6dCgAU6ZM4YEHHiAyMhJ/f3+WLVtWrdgEQRDqOrnc\nTPa2ip2afXtGoPNwqXZZRXtikQ2X0Qd3wrndMLVCrJRflMOHa15BQWHM7Y/QLkSd0bbqMpaW88Pi\nQxjyS2nSzIeY8e3R1ONN10xFxZx4eg6X1u9C0mpp9fozNHv47nrdeBKEusaiNQsHDhzgtttuu+79\nuLi4ysxEjkCsWag9Yl6mYC2ibtVczt6z5P1yDqeGHgRN6lHt0QC51MDlOZ1QinLwfWwFLm0Gqhqn\nrMj8+7tnOJa8j1ZNOzH73v+i1VjUx1Vtf1e/zCaZ7xcfIuXcFfwauHPfE7fh6uZk1XjsWcnFTA5P\nnoHhZCI6Lw86fvYGDfo6zjOBLYj7l2At1lyzYNE3xNV0qX9V1U3ZBEEQBNsqzy0m/0AyULFTc02m\nDRX9/ClKUQ76sGicW6v/JbU2binHkvfh6erD03e+afWGwt9RFIWNP5wg5dwV3DycGPtgl3rdUMj9\n9QT7hk7BcDIRt/Bgeqz/TDQUBKGO+ts7ryzLlXsiyLJ8zc/OnTuHXi92pxRuzBY9J4osgwJIEpId\nTgsoNxYBoNW7orHwAc1srrgmjaZm16SYzShmGTQSGp3tHrhuxiQrKIqCViOhucX0BdErV32KopC9\n7RSKWcajbRNcmvpWuyy5JJ+iHR8C4DnsJdWnnSSkHWfZzx8BMDXmVfw9G6la/s3crH7t3pzIqaMZ\n6J20jJncBW8/t1qJxx6lrdzIb8/PQykrx793Vzp8+gZOvl62DsshiPuX4Ij+9olFp9Oh1+spKipC\np9Nd81/r1q2ZOnVqbcUpCLeUteE3khduofBUhq1DuaHUWSFkzwimOD/d4mNWxh7k3X9u5uKF3Ft/\n+G8kL/qGzc36kjj/0xqVYy0vbzzH8P8d42i6wdah1GnFiZcpSc5G46zDv2+LGpVVtGMRSkk+ThG9\ncG6h7k68haUFvL9mFrJiZkS3iXRu3lvV8qvqyP4U4nYlIWkkRt7fkcAgdTeCcxSKLHPmjUWcePp1\nlLJymj04hi7fLBQNBUGo4/62sZCUlERSUhJNmzYlOTm58nVycjIFBQW89tprtRWn4GCubiAiCGoT\ndat65DIT2dtPA+DbOxKtu3P1yyq8QtGu/wLgGfOSKvFdpSgKn2x4jeyCTCIat+PePk+pWv6t/LV+\nJcZfYtuaih2uh9zVlrAWDWs1HnthKirmyMOzSP7wKyStljbzXqDN/BfQ6O1vpNKeifuX4Ij+9q88\nNDQUgISEBDQaDU5Of8zPLCsrw2g04uxc/S8cQRAEoXbk7U/CbCjFqZEXXh2Ca1RW4fYPUIwGnFvd\ngVN4d5UirLD5yAoOJu7EzdmDZ+6ci05ru+mu6Sm5rFt2DBS4fWAE7bpYtpliXVOSmsnhyS9iiD+L\nztuzYiFzn262DksQhFpi0cTpwYMHc/jw4WveO3TokFjgLNyUmJcpWIuoW1VXdqWQvIPnAWgwsHWN\n1r+YDZcp3vM5AB4qjyokZ55i6Y6KPRseGzqbAJ8gVcu3xNX6lZNdxI9LDmMyyUR1bUqP/vVzB+Lc\nuOMVC5njz+LWvFnFQmbRUKg2cf8SHJFFjYXjx49flyI1Ojqao0ePWiUoQRAEQR2KopC99RTICp7t\nm+LSxKdG5RVtfQ+lrBjndsNwaqZeKuqSsiLeWzMLk7mcQR3vpntLddOwVkWRwcj3//uVkuJywlo2\nZNCoNvVy34C05euJu/tpyq7k4t+nGz3WfYp782a2DksQhFpmUWPBx8eHS5cuXfPe5cuX8fDwsEpQ\nguOzybxMSQKNZLdf6jIaTFU8RqOV0GhVuB6NhKTX2e1uqloN6DQSEre+VjHnt2qKTmdSmpKDxlWP\nX5/IGpVlzkujaO8XQMVuzWpRFIXPN80lMzeVZg0jeeCO51Qru6p27tjFD0sOkZ9bQmCQF3fe2wGN\nVv1dqe2ZYjZzZs4iTkx/o2Ih88N30+Wbd9D7iIXMNSXuX4Ijsmhl0tixY5kwYQLvvfcezZs35+zZ\nszz33HPcc8891o5PECwWEBNFQEyUrcO4qYiFl6t8zLgp6uQtD582kfBpE1UpyxrmDo2wdQh1kmw0\ncWXHGQD8+rRA61qzfQEKt7wLJiMuHUehD2qnRogA7Dyxmr2nNuKsd2X6yHk46WyzFk5RFPbtSEJv\naoy3nyt3TeqCk3P9WsBrKizi2JOvkbV5D5JWS+u5z9Fs8l22DksQBBuyqLvkjTfeoHXr1tx22214\neHjQvXt3WrVqxbx586wdn+CgxLxMwVpE3bJc7i9nMRcZcW7ijWdUzeb/m3JSKN6/FCQJj6EzVIoQ\nUrPP8b+tCwCYMmgmQf5hqpVdVUf2paA3NcbFVc/YB7vi7lm/EniUpGawf8TjZG3eg97Hk67L3xUN\nBZWJ+5fgiCzqMnF1deWjjz7igw8+4MqVK/j7+1u8qZQgCIJQ+8qyDOQfSgHp952aazg9r3DT22Au\nx6XLPegDW6kSo7G8hPdWz6LMVErfdiPo026EKuVWx+WMAnZtqEgtO2RMO/wauNssFlvIPXCMIw+/\nRNmVXNwjmtF5yVu4h9csa5YgCHWDxU/8p06d4o033uDVV19Fo9Fw+vRpjh8/bs3YBAcm5mUK1iLq\n1q0pikL2lnhQFLw6NsO5Uc3mmpuyzlFy8FvQaPEc+qJKUcLibW9zMfscTfxCeWigeqMVVVVeZmbd\nsmOYzQo6r2wi29bObtH2Im35uj8WMveLpvu6z0RDwUrE/UtwRBY1FlauXEmfPn1IS0tjyZIlABgM\nBp57znaL0ARBEIQbKzyZTmlaHlo3J3x71Xw9iGHjApDNuHa7D11DdVKI7o3fyPbjq9BrnZg+cj4u\nTm6qlFsdO9ef5kpWEX4N3enYvf5k+1HMZk6//iEnpr+JUm4i5JF76PLV2+i9PW0dmiAIdsSiaUiz\nZ89my5YtdOzYkRUrVgDQsWNHkTpVuClbzMtUZBkUQJJqlEfeWsqNRQBo9a4WT+MzmyuuSaOp2TUp\nZjOKWQaNhEZnfws2TbKCoihoNRKaW0yXEXN+/565tJycXQkA+PVridalZpualV34ldLD34FWj8eQ\nF9QIkczcVD7b9CYAkwY8T0hAzbI01UTiyUsci0tFq5UYcW8HAhrXj4w/5XkFHHvyVbK370fSVezI\nHPzAKFuHVeeJ+5fgiCx6YsnKyqJ9+/bXHyzWLQh2JGvDbyQv3ELhqQxbh3JDqbNCyJ4RTHF+usXH\nrIw9yLv/3MzFC7k1Onfyom/Y3KwvifM/rVE51vLyxnMM/98xjqYbbB2Kw8vdexZzcRkuQT54tGlc\no7LkknzyFj8CioJ7n8fR+dW8173cVMZ7q2dSWl5M95YDGdhhbI3LrC5DfimbfvgNgD5DW9abhoLh\n9Dn2DZ1C9vb96P286br8P6KhIAjCTVn0tN+5c2eWLl16zXvLly+/bqM2QbhKzMsUrEXUrZszXjZQ\ncKRiUbN/DRc1K4pC/rLpmHNS0Ad3xHP4y6rE+P0vn5J86TQB3kE8NvQVm+2LIssK61cep7SknLAW\nDeh8ewhQ9+tXxupt7B/2KMXn0/CKasHtm77Av2cXW4dVb9T1+iXUTRbNR/jggw8YNGgQsbGxFBcX\nM3jwYBISEti8ebO14xMEQRAsoCgKV7adAgW8OjfDOaBm886L9/6P0mOrkZw98Zkci6TC3gcXLiew\n+sASJCSmjZiDm7Pt5sYf/DmJ1KQc3DycGDo2ym43c1SLYjaTMPcTkj/6CoAmdw+h7Vsz0brWr/Sw\ngiBUnUWNhVatWnH69GnWrl3LiBEjaNasGcOHD8fTUyyCEm5MzMsUrEXUrRsrOpVJ6cVcNG5O+Pas\n2aLm8rQTFKyqGEnwvvc/6BrUfO8DWTbzycY5yIqZIZ3H0zKoQ43LrK6M1Dz2bD0LwLC7o67ZT6Eu\n1q+ynHyOTf0XV3bFIWm1tHrtaZpNuafON5DsUV2sX0LdZ/FKR3d3d3r27ElYWBhBQUGioSAIgmAn\n5DITV3Ze3ak5skaLmmVjIblfTgGTEdcek3DtpM6mXBsOLSMpMx5/z0bc22eaKmVWR5nRxNrlx1Bk\nhS49Qwlr0dBmsdSGgpOJHHloFiUp6Tj5+9Lxszn43d7Z1mEJguBALFqzzS1J+QAAIABJREFUkJKS\nQu/evQkNDWXEiBGEhITQu3dvLly4YO34BAdlk3mZkgQayW57y2Q0mKp4jEYrodGqcD0aCUmvQ9Jq\na16WFWg1oNNISNz6WsWc3+vl/nKuYqfmxt54tqvZTs0FK/8Pc9ZZdI1b433XXFXiu5yXxoo9iwCY\nMmgWrk622/Bs6+p48nNKCGjsSe8hLa77eV2qX+k/bmH/iMcoSUnHq0MremyKFQ0FG6tL9UuoPywa\nWZg0aRJdunRh48aNuLu7U1hYyOzZs5k8eTI7d+60coiCYJmAmCgCYqJsHcZNRSy8XOVjxk1RJ4lA\n+LSJhE+bqEpZ1jB3aM33Aqivyq4Ukn+oouOmwcDWNWosF8d9S8mvy0HvWrFOQYW9DxRFIXbLPIzl\npfRoNZjOEb1rXGZ1xR9NJ/5IOjq9huH3dkCnq5sZ/WSTiYQ3P+b8x98CEDQ+hjbz/0+sTxAEoVos\naiwcPnyYzZs34+TkBICHhwf//ve/8ff3t2pwguMS8zIFaxF16w8Vi5pPg6zg2aEpzoHe1S7LdCmB\ngu/+DwDvuxegD2ylSox74jdwLHkf7i5eTB6gzj4N1ZGXU8zWn04CcMeI1vg39Ljh5xy9fpVdyePo\n47PJ2XMISael1Zx/0OzBMXY74lrfOHr9Euoni7pVunfvTlxc3DXvHTx4kB49elglKEEQBOHWihIv\nUXLhChoXHX69qr+xmVJWQu6XD6OUFePS5R5co+9XJb6C4lyWbH8HgAf6P4uPu206mMxmmXXLj1Nm\nNBPZthFRXZvaJA5ryz9+hn1DHyZnzyGcGvjS7bsPCHlorGgoCIJQIxaNLISHhxMTE8OIESNo2rQp\nqamprF+/nvvvv5/Zs2cDIEkSr7/+ulWDFRzHnj17RA+KYBWiblWQy81c2f77oubekWjdnKpdVsFP\nr2DKiEfbsDne97yt2sPl0u0LMZTk0bZZN/q2u1OVMqtj3/ZzZKTm4entwuC72v7t9Tlq/Ur/biO/\nvTAfubQM705t6BQ7F5cmAbYOS/gLR61fQv1mUWOhtLSUMWPGABW7OTs7O3PXXXdRWlrKxYsXURRF\n9FwIgiDUorwDSZgNpTgFeOLZPrja5ZQcXUXx3v+B1gnfybFoXNTJdHcseR+749ej1znz6JCXbfYd\nkZqcw/6d50CCmHHtca1Bo8oeyeUmzsz5iAufLgcg6L4RtJn3PFoXsT5BEAR1WNRY+PLLL60chlDX\n2KLnRJFlUABJQtLYX+O13FgEgFbvikZj2cJKs7nimjSaml2TYjajmGXQSGh0FmdMrjUmWUFRFLQa\nCc0tHipFrxyU5xaTF5cM/L6ouZp1w5R9nvxl0wHwGj0HfdP2qsRXWlbM55veBOCeno8T6Fv9xkxN\nlBSXsX7FcVCge79wgsP8bnmMI9UvY3YOxx77Jzm/HEbS62j9xrMETxotOu/smCPVL0G4yqInlq++\n+uq692RZZt68eaoHJAjVlbXhN5IXbqHwVIatQ7mh1FkhZM8Ipjg/3eJjVsYe5N1/bubihdwanTt5\n0TdsbtaXxPmf1qgca3l54zmG/+8YR9MNtg7FIVzZfhrMCh5tm+AS5FutMhRTGXlLHkEpNeDSfgRu\nvR5RLb4Ve/5LVkEGoQEtGd5tgmrlVoWiKGz+8SSG/FIaB3vTY0DdyriVf/QU+4ZMIeeXwzgH+BP9\nw0c0m3yXaCgIgqA6ixoLr776KuPGjSM3t+KB5dy5c/Tu3Zt169ZZNTjBcYlc0oK11Pe6VXTuMsVJ\nWUhOOvz6Xr9PgKUMa1+nPOUwWr9gvO99X7WHzHMZJ9lw6FskScNjQ2ej1dhmJOvErxdJPHkJJ2ct\nw8d3QKu1bDTPEepX2vJ1HBg1ldK0S/h0bUePzV/g281+00YLf3CE+iUIf2XR3fPo0aN4e3vTvn17\nZs+eTbdu3RgxYgQ///yzteMTBEEQfiebzBWpUgG/ns3RuVdvXnrpyU0U7VwEGi0+D3yOxs1HlfhM\n5nI+2TgHRZEZ3nUC4YGtVSm3qq5kFbJ9bcXvaeCotvj41Xy/CHsgm0zEv7SQE9PfRDaWETxpNNHf\nf4hLYN3ehVoQBNuyqLHg4eHB3Llz8fHx4c0332TkyJHMnDnT4nnXQv0j5mUK1lKf61b+wfOY8kvQ\nN/DAq3OzapVhzksj7+snAfAcPhunsG6qxbf24FekZCUS4B3EPb0eV63cqjCZZNYtO4ap3Eybjk1o\n07FJlY631/qlyDInn59PyhffITnpafv2DNoueBGNc91asF3X2Wv9EoS/Y9HT/tq1a2nfvj39+/fn\n2LFjnDlzht69e5OUlGTt+ARBEASgPL+EvP0V99wGA1ojVaOzRjGbyFvyGEpxLs6t7sC9/1OqxZeR\nk8L3eyvWxDwy5CWc9a6qlV0VezYncDnDgLefKwNGtrFJDGpTFIXT/3qftOXr0bq60G3FewRPHGXr\nsARBqCcs+raZOnUqS5Ys4f333ycqKoo9e/YwZMgQunbtau34BAdlk3mZkgQayW4X+MloMFXxGI1W\nQqNV4Xo0EpJeh6TV1rwsK9BqQKeRkLj1tdbXOb85O86gmGTcWwXi2uzWWX1upHDTAsqS9qHxCsR7\nwsfVanDciKIofLbpTcrNZfRtN4L2od1VKbeqkhOy+HXPeSSNxIjxHXB2qfp6CXusX+fe+YILn61A\nctLT6cv5+HXvaOuQhGqyx/olCLdi0Z302LFj+Pn98eWk1WqZPXs2MTExVgtMEKoqICaKgBj7XeQX\nsfBylY8ZNyValXOHT5tI+LSJqpRlDXOH1q1MNWorPp9NUeIlJL0W/34tq1WGMWEXhVveAUnC54FP\n0HqqN89954mfiE/9FS83Xyb2f1a1cquiyGBkw3cnAOg5MILGweqsw7C185+t4OzbsaDR0OHj12jQ\nV517giAIgqUs6lby8/Nj8+bNPPzww4wYMQKAX3/9lfz8fKsGJzguMS9TsJb6VrcUs1y5qNn39ubo\nPF2qXIbZcJm8r54ARcFj8P/hHNlbtfhyC7P4asd/AJh8xwt4utb+Q7qiKGz8/gTFhWUEh/sR3Se8\n2mXZU/1KW76e07MrfrftFs4kcHg/2wYk1Jg91S9BsJRFjYUPPviAqVOnEhkZWZkBycXFhVdeecWq\nwQmCINR3+YcuUJ5ThN7XDe8uIVU+XpFl8r56ErngEk4RPfEY8n+qxvfltrcpMhroGN6T21sPUbVs\nSx3+5QLJCdm4uOqJuac9GjvclLGqLq3fxYln5wLQ6rVnaHrvCBtHJAhCfWVRY+Hdd99l69atzJo1\nC+3vc55bt27N6dOnrRqc4LjEvEzBWupT3TIZSsn95RwA/gNbI/0/e/cdH0WZP3D8M7O76T2kQHpC\nKIFAAAlYOEEEARXBAqKg3g9PD8HeAD099VCO89BTD8sdenZBVIpKF0FA6YQSICGQkF432ZTNtpnf\nHwvYKJtkN7uB5/168Qozu88zzyTPzj7fmac4uFbALzV+9xrmI98h+4cTMvltJNl541Z25n7PtiPr\n8Nb5MnXELLeMF6ooMbBp1REArrmxN4HBLX/y8kueUL+qNu1g75+fAUUh5dH/I/HeW91dJMFJPKF+\nCUJLOfTN09DQQFxc3K/2mc1mvL1bN8e3IAiCcH7VG4+gWmz4pUbil9ipxenNx7ZR/+0cAIJvX4Am\npGXTiJ5Lk6mBd9f+HYBb/zCdiODOTsvbUdUVDXzx/i5sNpW+mXGk9opq9zI4W+2uA+y5ayaq2UL8\n1Fvo+thUdxdJEISLnEPBwpAhQ5g7d+6v9r3++usMGzbMJYUSOj539MtUFQXVpqAqarsf2xEWUyMW\nUyOKojicxmZTsFnbfk6qzYZitqBYWzofU/uwKioWm4Kinv88L5Y+v8bCGhoPlSFpZcKH9WhxeqVR\nj/6Du0Gx4T9sBj5pI5xavs82vUFNQwVdO/fmmn4TnJq3I6rK61n03+001puITwlj6JiW/47OxJ31\nq/5QHrtufxRbk5EuE0bT84UHPXZ2N6F1Lpbrl3BhcXjMwldffUVCQgINDQ1069aNRYsW8c9//tPV\n5RMEh1WuPMDx+WtpOFTq7qKcUeGsBKqejKOprsThNJ8v3MErz6yhqEDfpmMfX/AJa+KvJHfuO23K\nx1WeWpXHte9lsbek3t1F8QiqTaFq3SEAQgYlowtu2ZoFqqpS+9n9KLXF6OIHEHitc8eXHSnay5o9\nn6ORtdwz6mlkJ3ZtckRlaT2L/rOdpgYzCV3DGT9lADovz5wW2FFN+UXsnPgQltp6IkcNoff8WU6b\n2lYQBKEtHLoSdenShR07drB48WI+/vhjPvjgA3bs2EHnzu3/2FnoGES/TMFVLoa6ZdhbiKWqAW2w\nL8GZiS1O3/TDO5j2f4vkG0TInf9F0jpvlV+L1czbq14AYOygO4mPSHVa3o6oKDGweOF2jE0Wkrp1\nYtyU/k4NFNxRv5rLKtkx4SFMFdWEXTGAvm89j6xt+RoRgue7GK5fwoXH4dsWsiwzaNAgJkyYwODB\ng5FbcMejubmZQYMGkZGRQVpaGrNmzQKgpqaGESNG0K1bN0aOHEltbe3pNC+99BKpqan06NGDNWvW\nnN6/a9cu0tPTSU1N5cEHHzy932QyMXHiRFJTUxk8eDAFBQUOl08QBMFTWBtN1Gw+CkD4VT2QtS1r\nCFuK92NY9iwAwbe+hja85TMoncuybe9RUpNP59AExl/avv3py4vrWLxwB8YmC8ndI7jh9n7odB37\niYK5po6dEx7CeKKE4H5p9P/fXDQ+YjygIAieo12ecfr4+LBhwwb27t3Lvn372LBhA5s3b2bu3LmM\nGDGCnJwchg8ffnpcRHZ2NosWLSI7O5tVq1Zx3333oZ7syzxt2jQWLlxIbm4uubm5rFq1CoCFCxcS\nHh5Obm4uDz/8ME8++WR7nJpwFqJfpuAqF3rdqtmUg2q24pvcCb+Uli2cppqbqP3gT2Az43fZXfj2\nHevUshVW5fHVj+8CcM+op/HStl+jtrTIHig0Gy2k9Ixk7O390LogUGjP+mVtaGTXbY/QkHOcgO7J\nDPhkPtoA/3Y7vtD+LvTrl3BharfnnH5+foB9FiWbzUZoaCjLly9n48aNANx5550MHTqUuXPnsmzZ\nMiZNmoROpyMxMZGuXbuybds2EhISqK+vJzPTvoLlHXfcwdKlSxk1ahTLly/nueeeA+Cmm25ixowZ\nZyzH9OnTiY+PByAoKIj09PTTH95TjwfFdsfc3n5oL8aCakaR7hHl+e32rjIVLwWGg8Ppc44dwk+O\nc8rxs5Um9IXHObX+r7t/H7/drs/bS9aOSvrHjPSI8rhj21zVQGKuBBqJI3615G3Z0qL0jRv+TZ/q\nHLRR3dkXeS3S5s1OK98PP/zA/9bNw+ZvZXjfG6kuaGJzgfPyP9d2yYlaXn7hfSwWG1dfPYzrbu3L\njz9tdfvfqy3bm77bQM7f3iQ2uwjfhBjMj97K9oP7PKZ8Yltsi23P3t6/fz8GgwGAEydOMHWq6570\nSqrqwPQjTqAoCv379ycvL49p06Yxb948QkND0evtAzdVVSUsLAy9Xs/999/P4MGDuf322wG4++67\nGT16NImJicycOZO1a9cC9i+vefPmsWLFCtLT01m9ejVdutinBuzatSvbt28nLCzsdBnWr19P//79\n2+N0L3qbf9FIaS8V3+6n4VApkaPTCUjzvPE0Rx+JxFuxEvrsPgJCYx1Ks3jhdory9dzyfwOJSwo7\nf4KzOPbvj8id+w5J991Ot1n3tjofV5m96ih7SxqYc00K/WICz/led9St9qAqKsUf/YS53EDI4GTC\nhrRsLIAxawW1790JGi86PbIOXUxvp5Zv9e7FvLfu74T6d+LlqUvw9zn338lZigv0fPG/nZhNNrr1\njuLaiX3RtGK9CUe1R/1SLFb23v0UFat/wDuqE4OWv4lfQoxLjyl4hgv1+iXYqaqKyabSbLHRZFEw\nWhSMFhsmq4LZpmK2/fzTYlMwWX/eZzn12q/e++t9p95jU1QUVFBBsf9gVpqF4cOHn7eMraF1Sa5n\nIMsye/fupa6ujmuuuYYNGzb86nVJksQUcUKbRI5JJ3JMuruLcVZd51e0OM2EqZlOOXby9MkkT5/s\nlLxc4cVRXd1dBLer31eEudyAJtCHkEFJLUprqy2mbpF9DFfQ2L86PVCoMpTx6cbXAfjjiJntFigU\n5dfwxf92YTHb6NGnM2NuSUd2YaDQHlRF4cDDc6hY/QO6kEAuWfSKCBQEwc0UVaXBZKOu2Yqh2Uq9\nyYbReqrBbzvZ6P/1/5tO/d9qw2hWMFrtr3vo7O1t0m7BwinBwcFce+217Nq1i6ioKMrKyoiOjqa0\ntJTIyEgAYmJiKCwsPJ2mqKiI2NhYYmJiKCoq+t3+U2lOnDhBly5dsFqt1NXV/eqpgtC+xJ0TwVUu\nxLplM5qp+SEXgPBh3ZG9HL80q4qN2o+moTbV4t3zavz+4NwnR6qq8t7av9NsaWJg6jAyu7XP+jqF\nx2r44v1dWC02emZ0ZvRN7RMouLJ+qarKoadfpWTJajT+fgz49BUCe6S47HiC57kQr1+eRlVVjBYF\ng8lKXbOVumYbhuZT/7cHA3Wmkz+b7QFCvcnqtEa+TiPhp9Pgo5Xx08n46jR4a2W8tBJeGhkvjYS3\nRkan+fW+0z+1P2/rfvGat1Y6va2RJSTsN9plCSTg2KH9zjmBM2iXYKGqqgqtVktISAhGo5G1a9fy\n7LPPMnbsWN5//32efPJJ3n//fcaNGwfA2LFjue2223jkkUcoLi4mNzeXzMxMJEkiKCiIbdu2kZmZ\nyYcffsgDDzxwOs3777/P4MGDWbJkicsexQiCIDhbzcYclGYLvglh+Hdr2SrEjetfw3x0M3JgJMG3\n/dvpT2i/2PoOu/I24esVwB9HtM/EEQVHq/nqw11YLQq9+sdwzY29keWO/+T56Lz/cOLdJcjeXvR/\nfy4h/dLcXSRB8GhWRaXBZMXQbKPeZL/jb/jNz/pmK4ZfPBWoM1mx2Fre8g/w0hDkoyXYR0OgtxZf\nnYyfToPvyQa/r1a27/M6FQiceu3k6yd/ai+Aa9VvtUuwUFpayp133omiKCiKwpQpUxg+fDj9+vVj\nwoQJLFy4kMTERBYvXgxAWloaEyZMIC0tDa1Wy4IFC05/AS5YsIC77roLo9HImDFjGDVqFABTp05l\nypQppKamEh4ezmeffdYepyacheiXKbjKhVa3GnPKqd9fDBqJ8OE9W9TYNxfspH7liwAE3/ZvNIEt\nmz3pfFZs/4AlW95BkmSmjfkrYQHOzf9M8nOrWPrhbqxWhfRLYhk5rhdSO375uqp+HX/rU/Je+R+S\nRkPft58n/IpLnH4MwfNdaNevlrApKrVGK9VGC/omCwaT7WSXnzM3/utNVposSquO5a2RCPbVEuyt\nPRkA/PzT/n+N/f8nXw/y0V6QjXxnaZdgIT09nd27d/9uf1hYGOvWrTtjmtmzZzN79uzf7R8wYAD7\n9//+UYu3t/fpYEMQBKEjsBqMVK4+AED4ld3xCg9wOK3SXE/tB/eAYsN/6DR8ejr3aeraPZ/z8ff/\nAmDamL+2S/ej4zmVLP1oDzarQp+BsYy4oX0DBVcp+vRrjvzVPuaj9yuziRr1BzeXSBCcx2xTqGmy\nUNNktf80WqhpslB9at/J7brmlnf1kSX7Hf9Ab3sDP9BbS5C3/Wegt/1JQODJ7eBfBAU+2o49tsnT\ntPuYBeHi4I47J6qi2KcEkCSPbGBYTI0AaHS+Di9qaLPZz0mW23ZOqs2GalNAljxyZViroqKqKhpZ\nQj7PnfUL5a6cqqhUfLsfpdmKX3IEQf3jW5Te8MWT2Krz0cb0JvC6Z5xatk0HvmbhWvu6N1NHzuIP\nva51av5ncuxwBcs+3oPNppIxOJ7h1/V0y+fY2fWrbMUGDjxq/132nPMwMRNGOzV/oWPpaNevJrON\n0noTxQYTlQ0/BwK/DAzqTTaH8wv20RLmqyXMT0ewj/ZXQUCgt4ag3wQB/l6a834nCK7nea0GQWil\nypUHaMguJWJMOoG9uri7OL9TOCsBX0UhsAVTp36+cAdF+Xom/imzTVOnHl/wCTlz3iRpxmS6P31f\nq/NxladW5bGnpJ65o1PoHxPk7uK0i9ptx2gu1KPx9yJidO8WdT8y7lqCccdnoPMlZMp/kJy4ONq2\nI+t5c6V9zZrJQx9iRMbNTsv7bI4eqmD5J3tQbCr9L0tg2LU9OvzseKqicOz1Dzk677+gKHR9/G4S\npt7i7mIJwu8Ymq2UGEyU1psoMZgpMdiDg5I6E7XN1vOm10gQ6qsjzE9HmJ89EAj30xH2m32hvjrR\n1aeDEsGC4BIXc79MwbUuhLrVXFyLfkseABFj0tH4eTmc1lpdQN3njwIQPP5FdNHdz5PCcXvyNvPa\nitmoqsLNl9/DdZlTnJb32eQeLGfFp3tRFJUBlycydEx3twYKzqhfpopq9s14nupNOwBIeeSPpDzy\nR2cUT+jg3HH9UlWV2mYrJXX2IKC03h4QnPp3ricDXhqJzkHexAR5E+HvRfjJhv/pf772bj/i7v+F\nTQQLgiAI7UgxWaj4Zh+oKsEDE/FL7ORwWtVmpfbDe1Cb6/Hpcx2+l97htHJln9jJ/GVPYFOsXDdw\nMjdddo/T8j6bI/vL+HpRFqqiMnBIEn8Y1a3DP1Go2ridfdOfw1ylRxceQp/X/kLE8EvdXSzhIlHX\nbOVIZRNHKhvJ1zefDgiM5xgo7KuT6RLkTZdAb7oEedn/H+xNlyBvwv10IhAQRLAguEZHv/MreK6O\nXLdUVaVyTTbWOiPe0UEtXqW5YfU/sOTvQA7uQvDEV53WsM4t2c/fv3gIi9XE1Rk3c/vQh1zeaD+c\nVco3n+9DVVQGDU3mihGpHhEotLZ+KRYrR//xX469/iGoKmGXD6DPv5/BJ9r1M0gJHYczr18mq8LR\n6qaTwYE9QCgxmM/43gAvjT0ICPo5IIg5GRSE+Gg94rMneC4RLAiCILSThoMlNB4uQ9JpiLyuD1IL\nFhkz5W2lYe0/QZIImfwmsr9zFp3MLz/C3M/vx2QxMiRtDP834kmXNxyy95aw8vN9qCpcelUKlw3v\n2qEbK8aiMrKmPUvtjv0gy3R9/G5SHrwDSaNxd9GEC4SiqhTWNnP4VGBQ0cixGiO/XU7AWyOR2smP\n7hH+dO3kaw8IgrwJ8hHNPaH1RO0RXMIt/colCWTJYxsdCjJWWjZntKyRkDVOOB9ZQtJpPbbxopFB\nK0vY16Q8t446ZsFc00jVukMAdLq6J7pQf4fTKk211H54L6gKASMewTt1iFPKVFx9nBc/n06jqZ6B\nqcP485hnkSXXTjl45EAZ336+D1S47OquXHZVV5cer6VaWr/KV27iwMNzsNTW4905gr4LniPs0gwX\nllDoyBytX1WNZo5UNnG4sonDFY3kVjX9bs0BWYKkUB+6R/rTPcKPHhF+JIb6ohGDiAUnE8GCcMGI\nHJNO5Jh0dxfjrLrOr2hxmglTM51y7OTpk0mePtkpebnCi6M8q8HobKpNoeLrfagWG/49owlowWxd\nqqpSt+hhlNpidPEDCBjlnFWUy2uL+NuiaRia9PRNuowHrn8Rjezar4TSwlpWLrYHCpePSOXSYSku\nPZ4rKSYzh5//NycWfg5AxIjLSX/1KbzCQ9xcMqGjUVSVnMom9pY2cKSykcMVTVQ3WX73vgh/HT1+\nERh0DffDz8szbwAJFxYRLAgu0RHv/AodQ0esWzU/5GIuN6AN9iViRFrLpknd9jHNWcuQvAMIueMd\nJI2uzeWpri9nzqL70DdU0jOuP4+Mm4dO6/iMTK1Rpzfy1cmVmfsMjGXw0GSXHq+1HKlfjXknyPrz\nMxj25yDptHR/+j4S7pnosU81Bc9xqn41mKzsKq5ne6GBHYWG301R6u+loXsnP3pE2rsUdYvwI9yv\n7Z99QWgNESwIgiC4UFN+FXU78kGSiLy2D7K341/41opcDF/OBCDo5n+g7ZTU5vLUNdYwZ9F9VNQV\n07Vzb5646VW8db5tzvdcTM1WvvpwF00NZuJTwhk+tmUBkycpWbKKg0++jK2xCd+EGDLefp7gjJ7u\nLpbg4VRVpaC2me0nDGwvMnCgrOFXqxlHBugYGBtEr6gAukf4ERPsLWYhEjyGCBYEl+io/coFz9eR\n6pat0UTlN/sBCL08BZ8Yx7uoqFYz+g/uQTU34TPgZnwvmdDm8jQY65iz+D5KavKJj0hl5s2v4evl\n+NiJ1lBsCl8vyqKqrIGwTv6MvS0DTQsGdre3s9Uva5ORQ7PmU7zoGwCib7iaXv94Al1QQHsXUegg\nmq0KWSX2pwfbCw2UN5ipz9tLYEoGsgTp0QEMigsiMz6IhBCfDhtACxc+ESwIgiC4gKqqVKw6gK3J\njE9cKCGDWtbtpv7bOViLstCExRN888ttbkgYzY3MXfIAJypz6RyawOwJ/ybAN7hNeTri+5VHOH6k\nEl8/HTfeOQAf347XlaI++yh77/0LjbkFyL7e9Pzbw8Tedr1o3Am/U1ZvOh0c7C2px/yL6YqCfbR0\niw3ilqsSGRATSIC3aIIJHYOoqYJLuOPOr6oooAKShOSBs0FYTI0AaHS+yLJjd1ZtNvs5yXLbzkm1\n2VBtCsgSstbzPvZWRUVVVTSydN5H7x3lqYJh9wmMx6qQfbREjklv0d/PdOR7Gr97HWQNIVP+g+wb\n1KaymCxG/vHFwxwtPUBEcBeevvVNQvzD25SnI/b8dILdWwuQNRI3TO5HSLify4/ZVr+sX6qqUvjB\nUg4/8y8Uk5mAbkn0/c8LBHb3zPEWQvuzKioHyxvsAcIJAwW1zb96PbWTL4PigsmMC6JbhB+y5LmT\ncAjC2Xheq0EQWqly5QEaskuJGJNOYAtmm2kvhbMS8FUUAp/dR0BorENpPl+4g6J8PRP/lElcUuvn\n1T++4BNy5rxJ0ozJdH/6vlbn4ypPrcpjT0k9c0en0D+mbQ1jT2BILl/HAAAgAElEQVSqMFC98QgA\nEdf0Rhvk+JgAW0MVtR9PAyDgmifwShrYprJYrGbmL32C7MJdhAZE8PSEBYQHRrUpT0ccz6niu6/t\nU8VeM743sYnOWReivVjq6jnw2FzKV2wAIPb2sfR84SE0fj5uLpngblZFZUehge+O1rCzuJ5Gs+30\na346mQEx9q5FA2ODCBODkoULgAgWBJfoSP3KhY7F0+uWYrFRsWIf2FQC+8bi383xhrmqqtR9ej+K\noRyv5EsJGPFIm8piU6y8/vVTZB3fSqBvCE9PfJOo0Lg25emIqvJ6Vny6F1VRGTw0mV79Y1x+TGfZ\nvHkzvf1Cybr3GYyFpWgC/Oj98pN0HjfC3UUT3OyEvpnVudWsy61Bb/x59qL4EB8y44LIjAuiV5Q/\nunOMyfH065cgnIkIFgRBEJyoesNhLDWN6ML9CR/Wo0VpmzYvxHRwNZJvMCFT3kaSWz+HuqIqvLXy\nebbnfIefdwCzJ/ybmPC2z6Z0Pk0NJr78YDdmk5Vu6dFcfnWqy4/pTOXffE/jh6tRrTaC+vag71vP\n45/k2JNA4cLTaLax6Zie1Tk1ZFc0nt4fF+LNNanhDEkKoXOQtxtLKAiuJ4IFwSXEnRPBVTy5bjXm\nlFOfVYSkkYm8ri+yzvHGvqX0EIZlfwEgeOKraBzsqnYmqqry7tq/88PBb/DW+TLz5tdJimpZ4NIa\nVouNpR/twaA3Eh0bzOibWzZWw51UVeXovP/g/963qEDivbfS7alpyF6iG8nFRlVV9pc1sDqnhk3H\nazFZ7Ssn++lkhiaHMrJbOD0j/Vo1wN2Tr1+CcDYiWBAEQXACq8FI5eoDAIQN7YZ3ZKDDaVWzkdoP\n7garCd/Bk/HNuKHV5VBVlY+//xfr9i5Bp/Hi8RtfoVtMn1bn15LjrvryACUnagkK8WH8lP7oWhAs\nuZOqqhx+9jUK3lmEpNHQ+9WniLlllLuLJbSzykYza3NqWJNbTYnBfHp/n84BXNMtnCGJwfh0kDot\nCM4kggXBJdzSL1OSQJY8djpDBRkrSovSyBoJWeOE85ElJJ0WSeOZX3QaGbSyhMT5z9UT+/yqikrF\nN/tRmq34JUcQ1C/e8bSqiuGr2VhLD6GJ6ErQ+BfbVJYV2z/g6x0fopG1PDxuHr0T2jZA2lE/fpfH\n4axSdF4axk8ZgH9gx+iaodpsHHziHxR9vBxJp8X80EQRKFxEzDaFnwrqWJ1Tza7i+tMLpXXy0zGy\nWxgjUsOJCXZeXfbE65cgnI8IFoQLRuSYdCLHeO60dF3nV7Q4zYSpmU45dvL0ySRPn+yUvFzhxVFd\n3V2ENqn96RjNRXo0/l5EjO7dooC18bvXafrxfdB4EXrHO8jerV/ka+P+FXyy8TUA7hvzHP1ThrQ6\nr5Y4lFXC1vVHkSS4flIGEZ0df6riTorFyv77n6d06TpkX2/6vzuXwzqLu4sltIO86iZWHanhu7wa\n6k322Yx0ssSQxGCu6R5Ovy6BaDpIFzpBcDURLAguIe6cCK7iaXWruViPfmseABFj0tH4eTmc1rhr\nCfUr/gpAyJS30MVltLocu4/+wNurXgDgzuGPcXla+9wdLy7Qs+oLe/erYdf2JLl7RLsct61szSay\n7n2GitU/oAnwY8CHLxN2aQaeVbsEZzI0W9mQp2d1TjVHq42n9yeH+TKqezhXpYQS5OPaZpGnXb8E\nwREiWBAEQWglW7OFiq/3gaoSPDARv8RODqc15f5A7SfTAQgc9zd8M8a1uhxHirN4dflMFNXGuMH/\nx+gBk1qdV0vU1TSx9KM92KwKGYPi6Hep492v3Mna2MSeu2ZS/cNOdCGBXPLpqwT36+nuYgku0GCy\n8uMJA5uO6dlVXI/1ZD+jQG8NV6WEck23cLp28vzFAgXBnUSwILiE6JcpuIqn1C1VValam43V0Ix3\ndBBhQxyfItRSko1+4WSwWfC/choBQ1u/UF5hVR7zvngIs7WZq/qMY+KQ9ll0z9Rs4csPdmNsNJOY\nGs5V1/X02PFCv2Spq2fX5Meo3bEfr4gwBi7+F4E9U06/7in1S2i9RrONrQV1bDquZ1fRzwGCLMGA\nmEBGdQ/n0vhgvLRnXw/BVUT9EjoiESwIgiC0QsOBEhoPlyHpNERe1wfpHAsx/ZKttpiadyagNtfj\n03csgTe80OoyVBlKeWnxDBqbDQxMHcrUkbPapcGu2BRWfLqX6ooGwiMDuH5SBrKD5+9O5io9Oyc9\njGF/Dj4xUQz8/DX8k12/SJ3geo1mGz/+IkCw/CJA6Ns5gCuTQ7k8MZhQXzEVriC0lAgWBJdwx50T\nVVFABSTJI+d2t5jsC/podL7IsoMNS5v9nGS5beek2myoNgVkCVnreR97q6KiqioaWUI+T2PXE+7K\nmWsaqVp/CIBOV/dEF+rvUDrFaKDm7YkotSXokgYRcvubSA7Whd8yNOl5cfEMahoq6BHbj/uvm4NG\ndv3fVlVVvvvmMPm51fj6e3HjHf3x9vH8BlhzWSU7JjxIY04+fkmxDFz8Gr5x0b97nyfUL8ExjWYb\nP52oY+OxXwcIEvYA4Q9JIVyRFOJRAYKoX0JH5HmtBkFopcqVB2jILiViTDqBvbq4uzi/UzgrAV9F\nIfDZfQQ4uODW5wt3UJSvZ+KfMolLCmv1sY8v+IScOW+SNGMy3Z9un24qLfHUqjz2lNQzd3QK/WOC\n3F2cc1LMVsqX7kG12PDvGU2Ag3VNtZrRv3cn1tJsNJGphN39MZKXb6vK0Gw2Mu+LhyipySc+oiuP\n3/gKXjqfVuXVUnt+PMHen06g0cqMm9yP4DDP7+9tLCxl+80PYCwoJqB7MpcsfhWfKMfHlwie41SA\nsOlYLTuLDVhsPwcIfU4FCIkhhPl5ToAgCB2dCBYElxD9MgVXcWfdUlWVim/3Y6luRBfuT8SIXg51\n+1FVlbrPHsCcsxE5MJKwexcj+7cu+LPaLLyy7AmOlh4gIrgLM295A3+f9pmq9NjhCjZ8Y3+iMurG\n3sQkhLbLcduiIbeAHRMewFRaSVBGDy755BW8woLP+n5x7fI8TacChOO17Cj6dYCQHh3AlckhXJ4Y\nQngHCBBE/RI6IhEsCIIgOKj2x2M05VYge2uJGtcP2duxS2jDt3Mw7lyM5OVP2D2foQ1PaNXxFVXh\nrZXPkXV8K4G+Icy+5Q3CAtpnqtLK0npWfJaFqsJlw7vSM8Pznt79luFgLjsnPIS5Wk/ooL4M+Ohl\ntIGOdRkT3KvZYuPHE3VsPHamAMGfPySFckVSxwgQBKGjE8GC4BLizongKu6qW41HK9BvOQpA5HV9\n8ApzrNHZuOU9GtbOB1lDyF3vtXotBVVV+WjDq2zOXom3zpeZt7xO57DWBR0t1Vhv4ssPdmEx2+jR\ntzOXXpVy/kRuVrvrADtvexRrXT3hQzPp9+5LaP3O3+1LXLvcx2JT2FVcz/d5erYU1GGy2le8PxUg\nDEkKZUhiCOH+HTdAEPVL6IhEsCAIgnAe5uoGKr7ZB0DYH1LxS3bsbn7zgVUYljwOQPCE+fikXd3q\nMqzY/gHf7vwYjazl0fEvkxKd1uq8WsLYZOarD3dTX9dMl/gQRt3YshWq3aF6yy52T3kCW5ORyNF/\nIOOt55G9HV8sT2g/iqpyoKyB7/L0/HC89vRqygA9I/0YmhzKkKQQOvmLv58guIsIFgSXcEu/TEkC\nWfLYhoyCjBWlRWlkjYSsccL5yBKSTouk0bQ9LxfQyKCVJSTOf67tXbdszRbKv9qDarbh3z2a4Mwk\nh9KZC3ahf38qqAoBo57Eb/CUVpdh4/4VfLLxNSQkpl/7PH0SB7c6r5YoOaFnxadZ1Nc1ExTqy7jJ\n/dDqPLMOnVK5bit77p6N0mym803XkP7qU8g6x7/qRJ9y11NVlaPVRjbk6fk+T09Vk+X0awmhPlyV\nEsrQ5FA6B3m7sZSuIeqX0BGJYEG4YESOSSdyTLq7i3FWXedXtDjNhKmZTjl28vTJJE+f7JS8XOHF\nUV3dXYQzUhWViq/3YdE34RURSMQoxwY0W6uOo//PJLAY8R10OwHXPNHqMuw6uom3V9nXYrhz+GNc\n1vOaVuflKFVR2bE5n81rclAUlc5xwVx3awZ+AZ7deCtb/h1Z0/+KarESd8c40uY+1uqpaQXnK6pr\nZkOeng15eorqTKf3RwV4MTQllKtSQkkKa90MYYIguI4IFgSXEHdOBFdpz7ql35yL8XgVsq+OqPH9\nkL3Of8m0NVRR89YtKA1VeHW/iuAJ81v9tOtIcRavLp+JotoYf+lURg24tVX5tISxyczKz/dz7Egl\nAJdckciQkd3QuGG125YoXvQN+x9+CRSFxGmT6P7MjFb93sW1y7mqGs1sPFbLd3k15FYZT+8P9tFy\nZXIIw1JCSYv099gnws4m6pfQEYlgQRAE4QwaDpdRu+04SBJR1/dFF3z+O56quQn9f2/DVnUMbUw6\noX98D0nTusGYhVV5zPviISxWE1f1GceEK6a1Kp+WKC7Q8/Vn9m5HPr46Rt2cTteekS4/blsVvLuE\nQ7PnA9D1samkPPp/F03j0xMZmq1szq9lQ56efaUNqCf3++lkLk+0Bwj9ugSi8cDFMwVB+D0RLAgu\nIfplCq7SHnXLVFFP5aoDAIQP7YZvQvh506iKDf2H92DJ34kmNJawexYht3L9gypDKS8tnkFjs4GB\nqUOZOnKWSxu/p7od/bAmB/UX3Y6CQz27S4i1sYncv/+HgncWAdD92ftJmjapTXmKa1frqKrKtkID\n3x6uYmdRPdaTqynrZIlB8UEMTQllUFww3h7+hMrVRP0SOiIRLAiCIPyCzWg+vUJzQK8uBA04//Sk\nqqpi+HImpv3fIvkGE3rv52iCo1t1fEOTnhcXz6CmoYIesf24/7o5aGTXXao7arej8lWbOPTUKzQX\nl4Ms02vuY8TdMc7dxbro2BSVLfm1fLK3nGM19m5GsgT9YwIZlhLK5QnBBDi4HokgCJ5JfIIFl3DH\nnRNVUUAFJAnJAx9vW0yNAGh0vsgODrq02eznJMttOyfVZkO1KSBLyFrP+9hbFRVVVdHIEvJ57qC7\nsm6pikLFiiysdUa8o4PoNCLNoTv6jd+9TtPmhaDxIuzuT9BFd2/V8ZvNRuZ98RAlNfnER6Ty+I2v\n4KXzaVVejvhtt6PRN6eT4uHdjoyFZRx6+hUqVv8AQFCf7vSa9wTBGT2dkr+46+sYm6KyIU/Pp1ll\nFNbaByuH+Wm5qXckw7uGESYWSzsjUb+EjsjzWg2C0EqVKw/QkF1KxJh0Ant53uqyhbMS8FUUAp/d\nR0BorENpPl+4g6J8PRP/lElcUlirj318wSfkzHmTpBmT6f70fa3Ox1WeWpXHnpJ65o5OoX9MkNvK\nUbMxB2NBDRo/L/sKzQ5ME2rctYT6FX8FIGTKW3ilXNqqY1ttFl5Z9gRHSw8QEdyFmbe8jn8ruzGd\nj73b0XF+WJN7sttRCNfd2tejux0pFisF7yzi6MsLsRmb0QT40W3WvcTfdaPHTgl8ITLbFNbm1rAo\nq5yyejMAkQE6JvaJ4ppu4Xh5+BMpQRBaTgQLgkuIfpmCq7iqbtUfLKFuZwHIElE3ZKANPP8dfVPu\nD9R+Mh2AwHF/wzejdd1gFFXhrZXPkXV8K4G+Icy+5Q3CAhxb+K2lmhrNrFyyn+Mnux0NHJLIFSO7\nodF4biNPv30fB5+YR8PhYwBEjx1Oj+cfwCfa+b8jce06s2arwqojVSzOqji9LkJMkDeTMqK4qmsY\nWg98muuJRP0SOqJ2+XYoLCxk2LBh9OrVi969e/Paa68BUFNTw4gRI+jWrRsjR46ktrb2dJqXXnqJ\n1NRUevTowZo1a07v37VrF+np6aSmpvLggw+e3m8ymZg4cSKpqakMHjyYgoKC9jg1QRAuAKayOqpW\nHwSg0/Ce+MSGnjeNpfQQ+nengM2C35V/JmBo657YKIqN99b+nc3ZK/HR+THzltfpHHb+cRKtUVyg\n58M3tnL8SCU+vjrGT+nPlaN7eGygYNYbOPDoXLaN/TMNh4/hmxDDgE/mk/HOCy4JFITfazTbWJRV\nzpTPDrLgx2Kqmiwkhvowe1gi/725JyO7hYtAQRAucO3yZEGn0/HKK6+QkZFBQ0MDAwYMYMSIEbz3\n3nuMGDGCJ554gr///e/MnTuXuXPnkp2dzaJFi8jOzqa4uJirr76a3NxcJEli2rRpLFy4kMzMTMaM\nGcOqVasYNWoUCxcuJDw8nNzcXBYtWsSTTz7JZ5991h6nJ5yBuHMiuIqz65a10UTZ0r2oNoXAvrEE\nZcSdN42ttpiat29BNRrw6TuWoBteaNWxzZZm3vjmL2zP+Q6tRscj4/9BSnRaq/I6lzN1O7p+Ul+C\nQjyz25GqqpR8vorDz72OpboWSaclafrtpDx4Fxpf1y4MJ65ddoZmK8uyK1l6sJJ6kw2Abp38uK1f\nFIPjg887tkg4M1G/hI6oXYKF6OhooqPtM4MEBATQs2dPiouLWb58ORs3bgTgzjvvZOjQocydO5dl\ny5YxadIkdDodiYmJdO3alW3btpGQkEB9fT2ZmfZVbe+44w6WLl3KqFGjWL58Oc899xwAN910EzNm\nzGiPUxMEoQNTbQoVy/Ziq2/GOyaETsPPP0jWVldG9b/Ho9SWoEsaRMjtbyLJLe8zX2+s5R9fPkJO\ncRZ+3gE8Nv6fpMVf0prTOKffdztK4oqRqR77NKEhJ5/smS9Ts3U3AGGX9SNt7uMEdEt0b8EuErVG\nC1/sr2D5oSqMFgWA3lH+3NYvmgExgWL9CkG4CLX7mIX8/Hz27NnDoEGDKC8vJyoqCoCoqCjKy8sB\nKCkpYfDgwafTxMbGUlxcjE6nIzb254GhMTExFBcXA1BcXExcnP2OoFarJTg4mJqaGsLCfj0odPr0\n6cTHxwMQFBREenr66Uh/8+bNAGLbCdun/t+ex99+eC/GwhpGS33cfv5n2t5RJqFTYOTJ34sj6Y/m\nH8ZPE9f248sSh2QTtcUFnJqnx92/j19ua2RoOp5F1o5K+seMPOf7T+1zxvHrdhbQ09IJTYA3RyOb\nOP7j1nO+X2mqpeeuOdgqj7LLmkRwrwcY4uXb4uNX1Bbz4NwpVDeUkdoriZm3vEbB4VI2n9js1N9v\nVXk95Ud9qa9rprQqh0FDk7lydHen//2csb1p/QZKvlhF6IofUS1WcgJk4u8az8CnHkGSpHYrz6l9\n7v59tPf21+u+Z2OensNeSZhsKvV5e0nt5Mdjt11Ln84BbN68mS35nlPejrp9ap+nlEdsd9zt/fv3\nYzAYADhx4gRTp07FVSRVVdXzv805GhoauPLKK/nLX/7CuHHjCA0NRa/Xn349LCyMmpoa7r//fgYP\nHsztt98OwN13383o0aNJTExk5syZrF27FoAffviBefPmsWLFCtLT01m9ejVduthnwenatSvbt2//\nVbCwfv16+vfv316ne1HbvFkM4hJcw1l1y5BVSNWabCSNTOdJmfh0Dj7n+20NVdS8MRZr2WG0ndMI\nn74MOeD8i7X9Vl5ZNvOWPEhdUw3xEanMvPk1wgKdO13pb7sddYm3z3bkqd2OqjZs4+DMlzEW2G/+\nxE4eS7fZ0/AKO/ffxBUutmtXqcHEon3lrMmpOb2Q2qXxwUzKiKJHpL+bS3fhudjql9B+du/ezfDh\nw12St9YluZ6BxWLhpptuYsqUKYwbZ58xJCoqirKyMqKjoyktLSUy0v6FGRMTQ2Fh4em0RUVFxMbG\nEhMTQ1FR0e/2n0pz4sQJunTpgtVqpa6u7ndPFYT2Iy6Ggqs4o241F+upWncIgE4j084bKCgN1dT8\ne5w9UIjuTth9X7UqUNiTt5lXl8/EZDGSnjCIh8fNw887oFXncDbNRgvfLt53epG1gX9I4ooRntnt\nqLmsksPPvEbZ8vUABPRIpte8JwjN7OO2Ml0M1y5VVckub2TpwUp+yK9FUUECrkwK4daMaFLCPTOo\nvBBcDPVLuPC0S7CgqipTp04lLS2Nhx566PT+sWPH8v777/Pkk0/y/vvvnw4ixo4dy2233cYjjzxC\ncXExubm5ZGZmIkkSQUFBbNu2jczMTD788EMeeOCBX+U1ePBglixZ4rLoShCEjs1a30z5sr2gqAT1\njyewd8w536806ql+80aspdloIlMJu28pmsCWz8SzPusrFq55CUW1MaTXtdw76i9oNc5duKq6ooGl\nH+5GX92Ej6+OMbekk9zD8xZZU202TvzvS3JeehtbQxMaXx+6PjaVhHsmIuva7R7WRcdsU9h4rJal\nByvIrfp5teURqWFM7BtFfIjrFgAUBKHjaper8pYtW/joo4/o06cP/fr1A+xTo86cOZMJEyawcOFC\nEhMTWbx4MQBpaWlMmDCBtLQ0tFotCxYsOD2oasGCBdx1110YjUbGjBnDqFGjAJg6dSpTpkwhNTWV\n8PBwMROSm4lHrYKrtKVuKVYb5cv2Yms04xMfRvjQc6+0rBjrqHnrJqzF+9FEpBA+fSmaoKgWHVNV\nVT7f8hZfbv0vAOMvncqEK6Y5faBo3qEKvlmchdlkIyI6kHFT+nvkImsNuQXsm/EchqzDAESMvIK0\nOY/gGxft5pLZXYjXruomC98cquLrQ1XUNlsBCPLWcG3PTlzXsxMR/l5uLuHF40KsX8KFr12ChSuu\nuAJFUc742rp16864f/bs2cyePft3+wcMGMD+/ft/t9/b2/t0sCEIgvBbqqpSvfYQptI6tEE+RF3f\nF+kcXXMUo4GaN2/GUrgXTXiiPVAI7tyiY1ptFv6z+m9sPPA1kiRz94hZDM+4sa2n8iuqqvLT98fY\nsi4XVOieHs2om3qj8/K8O/Tlqzaxb8bz2Bqa8ImJouech4ka9Qd3F+uCdbjC3tVo0/Ha0+MRksN8\nGNcrkmEpoXiL1ZYFQXCA532bCBcEd9w5URUFVECSkDxwkSCLqREAjc4XWXbsS9pms5+TLLftnFSb\nDdWmgCwhaz3vY29VVFRVRSNL552/vbV1y7CnkPoDxUhamajx/dD4nf1uqtJcT83bt2A5sQtNWDzh\nM5ajCTl3d6XfajI18MqyJ9mf/xPeOh8evH4u/bsOaVXZz8ZssrJqyX5yDpaDBENGppJ5ZbLHTW+p\nKgpHX15I3vz3AIi+/ip6vzILbYDnDaDt6Hd9LTaFzfm1fHWgksOVTYC9q9EVicGM6xVBenSAx9WP\ni0lHr1/CxcnzWg2C0EqVKw/QkF1KxJh0Ant1cXdxfqdwVgK+ikLgs/sICI11KM3nC3dQlK9n4p8y\niUtq/YD94ws+IWfOmyTNmEz3p1u30rArPbUqjz0l9cwdnUL/mCCn519/sITq7052exndG+/Isx9D\nMTVQ885ELPk70ITGEjZjORoH/16n1DRUMm/Jg+RXHCHIL5Qnb/oXKZ17tekcfqu2pomlH+2mqqwB\nL28t103s45HjEyx19ey77zkq128FWab7U9NIvO820WB1slqjhW8OV7PiUCU1TfauRgFeGkb3CGds\nzwiiAkVXI0EQWkcEC4JLiH6Zgqu0pG6pikrNphzqduQDEHJpMgE9zt6VSDE1on/nVizHfkIO6ULY\n9OVow+JbVL6iqmPMXXI/VYYyokPjmXXza0SFnn9V6JYoOFrFik+zaDZaCOvkz7gp/QmL8Ly79PVH\njrHnrpk0HS9CFxpE37eep9OVme4u1jl1tGtXblUTSw9W8n2eHsvJrkYJoT6M6xXB8JRQfHQtXzBQ\ncJ2OVr8EAUSwIAjCBUoxWShfsQ/j8SqQJToN70FQxtkb/qq5Cf1/b8ectxU5uDPh05eh7ZTYomMe\nKtzNy18+QqOpntQu6Tx+4ysE+YW28Ux+UUZVZdeWAjauPIyqQnKPCK6d0AdvH+fOquQMZSs2sP/B\nv2FrMhLYO5V+776EX7znPfHriGyKypb8WpYerORAub17o4R9fYRxvSLI6CK6GgmC4DwiWBBcQtw5\nEVzFkbpl0TdS9uUeLDWNyL46osZm4Bt/9m5cqqWZmoVTMOduQg6KInz6UrQRKS0q19ZDa1jw7TNY\nbRYGpg5lxnV/w1vnvNmILBYb65Ye5OCeEgAGD03m8qtTPW58jmqzkfPS2xx/4yMAOt90Db3/8SQa\nv44xLacnX7uarQrLDlayPLuSykYLAH46mVHdwxmbFkGXIG83l1A4H0+uX4JwNiJYEAThgtKUX0XF\n8iwUkxVdpwCix/dDF+J31verVhP6d6dgPrIBOSCCsPuWoo1Mdfh4qqryzY6P+Oj7VwEY2W8Cdw1/\nDFl2XveP+rpmln20m7JiA1qdhtE3p9M93TOmGv0ls95A1rRnqP5+O5JGQ/dnZ5DwpwniLrcTbC+s\n442tRZTVmwGIC/bmhl4RjEgNw1d0NRIEwYVEsCC4hFv6ZUoSyJLHNkwUZKyceQrhs5E1ErLGCecj\nS0g6LZLGMxsVGhm0soTE+c/1bHVLVVUMu09QveEwqODXNZLIa9ORzzGFqD1QuBPTofXI/uGETV+K\nLvrcay/8kqLY+GDDfFbtsq/rcvvQB7lu4BSn1sHiAj3LPt5DU4OZoFBfxk3uR2Rn5w8CbyvDwVz2\n/HEWxhMleIWHkvGfFwi7rL+7i9VintanvKrRzJs/FfPD8VrAPvXp1IExDIgNPO/MYYLn8bT6JQiO\nEMGCcMGIHJNO5Jh0dxfjrLrOr2hxmglTnTMYNHn6ZJKnT3ZKXq7w4qiubUqvWhWq1mVTv78YgJDB\nyYRe0fWcjXbVZkH//lRM2WuQ/ELtgULnng4f02xp5o1v/sL2nO/QanTcN+Y5Lut5TZvO47f27Shk\n3fJsFJtKfEoY192agZ8HLqBV8uUaDjz6EorRRFDfHvRb+CK+sZ735KMjsSkqy7Mr+d+uUowWBR+t\nzJ0DOjOuVwQaD+t6JgjChU1SVVV1dyHay/r16+nfv+Pd6RIE4eysjSbKl+3FVFyLpJWJGN37nDMe\ngT1QqP3gTzRnLUfyCyH8vqXoYvs4fExDk56Xv3qUnOIs/EbGwK0AACAASURBVLwDeGz8P0mLv6St\np3Kazaqw4ZtD7N1WCED/yxIYOro78jkWkXMHxWol528LyH/L/mQlZuK1pM19DI2v6DvfFocrGnlt\nSyFHq40AXJ4YzLTBsUQGeF6gKAiCZ9i9ezfDhw93Sd7iyYIgCB2WqdxA2Vd7sNU3own0IXpcBt7R\nwedMo9qs1H54rz1Q8A0ifNqXLQoUjpcfZv5Xj1FpKCU8MJqZt7xGXKeWDYY+l6YGE8s/2UtRvh6N\nVmbEuF707t+yBeHag7lKz94/P0PN5l1IWg09X3iYuLvGe2w3wI6gwWTlvZ2lfH2oChWIDNAx49I4\nBiecu04LgiC4kggWBJcQ/TIFVzlVtxqOlFH57X5Uq4J3lxCixmWg9T/3HW1VsVH7yX00712K5BNI\n2J+/QBeX4fCxNx38hv+snoPFaiIluhePjn+ZsEDnLYRWXlzH0o/2UF/XTECQNzfc3o/OcSFOy99Z\n6rIOs2fqLJqLyvGKCKPff+cQOqivu4vlFO64dqmqyvfH9Lz1UzF6oxWNBDenR3J7v2ixTsIFRnw3\nCh2RCBYEQehQVFWlZstRarfmARDQuwsRI3ohac/dRUdVbNR9MoPmXUuQvAMIu3cJXgkDHDqm1Wbh\no+9fPT2QeVifcfzx6ifw0jqvu82hvSWs/vIAVqtCl/gQxt6WQUCQ5003Wrx4JQcf/zuKyUzIgN5k\n/HcOPp0j3F2sDqu4rpnXtxSxu6QegF5R/jx4eRyJYc6bdlcQBKEtRLAguIQ77pyoigIqIEkeN/c8\ngMVkXzxJo/NFlh3re26z2c9Jltt2TqrNhmpTQJaQtZ73sbcqKqqqopGlc87wopitpFYHUJubBxKE\nDe1O8ICE83Z9UW1W6hY/jHHnIiQvf8LuXYxX0kCHylbbWM2/ls/kUOFuNLKWP179BMP73ui07jZm\nk5VNq3PY+9MJANIviWX42DS05wl+2ptisXL4r69zYuHnAMROuYG0vz2M7H1h9aNvr2uX2aqwaF85\nn2WVY7GpBHpr+FNmDCO7hYlZji5g4qmC0BF5XqtBEFqpcuUBGrJLiRiTTmAvz1sptnBWAr6KQuCz\n+wgIjXUozecLd1CUr2finzKJSzr7omLnc3zBJ+TMeZOkGZPp/vR9rc7HVZ5alceeknrmjk6hf8yZ\npwW11Bkp/2o35soGZG8tkdf3xS+p03nztpRkU/fp/VgK94DOl9B7PsMrebBD5TpaeoD5Xz1OTUMF\nof6deHjcP+gW4/j4hvPmf6iC9cuzqa9rRpYlhl3bg4zB8R7X799UWcPePz2F/qcsJC8daS8+Qtzk\nG9xdrA5rd7GB17cUUWwwATAyNYy7M7sQ4ut5K3ELgiCIYEFwCdEvU3AmY2EN5cv2ohgt7K3J47rH\n78QrzP+caVSrmYa182lYOx8UK5rQWEImv41XyqUOHXPDvqUsXDsXq81C95gMHrphLqEBzulu02Bo\nZv2KQ+QeLAcgOiaIkeN7E9nFs9ZPsBgaKPpoOflvfYqpohrv6E70W/giIQN6u7toLuPKa1dNk4V3\nthXzXZ4egPgQHx64PJY+nQNdcjzB84jvRqEjEsGCIAgezZBVSNW6Q6Co+CaG02mA93kDBXPBLuo+\nvR9r2WEA/K6YSuB1zyD7nL9RZrGaeX/9y6zL+gKwr8h8x1WPoNW0/a6vqqhk7Shk06oczCYrOi8N\nQ0Z2I2NwPLIHdZ0zFpZR8N/FFH68HFtDEwChg/uS8c7f8I4Md3PpOh6bovLt4Sre3VlKo9mGl0Zi\ncr9obkqPROdh0+EKgiD8lggWBJcQd06EtlJtCtUbDmPYY19rIPiSBMKu7Ebnc4z3UM1N1K98icbv\n3wRVQdMpmeBJr+GdcplDx6xpqOSVpY+TW7IfncaLu0fO5sr0651yPlVl9axZepCSE/aVeFN6RDB8\nbBpBIZ4zkLV2Tzb5b35K+Tffo9psAIRdPoDEabcScdWlSA6OtenInH3tOlLZyBtbizhSaQ+6BsYG\nMeOyWDoHibUoLkbiu1HoiESwIAiCxzFV1FO9/hDNRXrQSESM7EVg73OvNWA6uoW6zx7EVnUMJBn/\nq+4ncNRMJC/HGuOHi/bwyrInqWusJjwwmkfG/4OU6LQ2n4vFYuOnDXns2HQcRVHxD/Rm+PU9Se0V\n5RFjE1SbjYo1W8h/61P027IAkLQaOt90DYn33kpwn+5uLmHHU2ow8f0xPRvy9OTrmwEI99Nx36Wx\nXJEY7BF/d0EQBEeJYEFwCbf0y5QkkCWP/SJWkLGitCiNrJGQNU44H1lC0mmRNJ45Z7tGBq0sITea\nqPhmPw3ZJfb9fl5EjeuHT8zPaw38tm4pzQbqVzxH05b3ANB27knwpNfxindstXZVVVmz53M++O6f\n2BQraXGX8NANcwnyC23zeZ3Iq2bN0oPUVtvvKmcMimPINd3w9nH/QFZrk5HiRd9S8M4imo4XAaAN\nCiBu8g0k3H0LPl2ct35ER9Laa1d1k4WNx/R8n6fn8MmnCACB3hqu6RbO7f2i8ffyzM+f0H7EmAWh\nIxLBgnDBiByTTuSYdHcX46y6zq9ocZoJUzOdcuzk6ZNJnj7ZKXm5wgtXxlP70zHqvt5Dg00FWSKo\nXzyhg5PR+J19as7m7HXULX4YpbYYNDoCRjxCwNUPI2kdm87TbGlm4dqX2HjgawCuHTiZ2668H43c\ntktjU6OZjSuPcHB3MQDhUQGMHNeLmIS2ByBt1VxexYl3v6Dwg6+w6A0A+MZ1JuGeicROuhZtwLnH\ngwg/MzRb2Zxfy4Y8PftKG1BP7vfRylyWEMzQlFAGxASKcQmCIHRokqqq6vnfdmFYv349/fs7drdR\nEATXUyw2DLsLqN12HMVkBSCgZ2dCr+iKLsTv7OkaazB89RTGnYsA0MX3J3jS6+g693T42FWGUuZ/\n9TjHyg/hpfXhnlFPc0Xa6Dadj6qqHNpbyoZvDmFssqDRylw6LIWBQ5LQuHndhPrso+S//RklX65B\ntdh/18H9e5H050lEjvmDR66/4YmMFhtbC+r4Pk/PziIDtpPfoDpZYmBcEENTQhkcFyRWXhYEoV3t\n3r2b4cOHuyRv8e0gCEK7UxWF+gMl6LccxdZgn2veNyGcsCu74R117ulDjXuXYVjyBEpDJeh8CBw9\nG/8r/4ykcfxydqBgB/9aPpN6Yy2RwTE8Ov5lEiK7temcaqubWLvsIAVHqwGISw5jxLhehHVy3516\nVVWp/n47x9/6lOqN2+07JYmoa4eS+OdJhA703CdxnsRsVdhRZOD7PD0/najDdDJCkCXoHxPIsJRQ\nLk8IJsBbfKUKgnDhEVc2wSVEv0zhTFRVpSmvkppNOViq7Stae0UGEnZlN/wSz73Ams1QjmHJE2xa\ns4LMaPBKuYzgW/+FNiKlRcf/dufHfPT9v1BVhT6Jg3ng+hcJ8A1u9TnZbAq7Nuezdf1RrFYFH18d\nQ8f0oFf/Lm4bP6OYzJR8uYb8tz6j4cgxADS+PsRMuo7Eeybgl+jYooAXo1PXLpuisrekng15erYU\n1NFotp1+T68of4alhDIkKYRQsZCa0ALiu1HoiESwIAhCu2gurqVm4xGai+1Th2qDfQm7IhX/ntHn\nbFSrqopxx2cYlj6F2lSLpPMl6OYX8LvsrhZN5dlsNvLO6hfYemg1AOMG/5EJV0xDllvfXaS0sJY1\nXx2ksqwegLSMLgy9tgd+/o6NmXA2xWyh6NOvyXvlPUxlVQB4R3Ui4e5biJ18A16hnrXomycqrjPx\nxtZCNh2rpbbZenp/Srgvw5JDuTI5lKj/b+++4+Oo78T/v2Zme1GvlmTJluQiW7iBbYpDC2DsAE6A\nYBIgCebuF0IIl0tyhLRL8kuC4b7JJSHHXYrJlyNHCeToxTbdDmCDC7aRiyzb6r1r+87M94+V1xaS\nsFxWxX4/H4997M5n2mfWH4/2PZ/mHZt/XyGEGAsSLIiEGIsnJ6ZhgAkoCso4muDqsEgo9iRdszpR\nR/gjV9dj16SqJ3dNpq5j6gaoyqi3TQ93+Oh4ex/+ylgHb9VpJfXcYpLmFKD0t+OPGiamaaKpCupR\ngYPeWUf3E/9EaM/rANhnXsryz/87WurIn4ybpsmu6s088savqGndj8Pq4mvLf8LCaZec8DWFghE2\nrq9k23s1YEJympPLrplFUekn144kiqnrNDy1lv2/fIhATWwkKc/MYqbc/gVyV3wa1SZPv4/lQEeA\n/97SyDuNadAYC7Tyk+1cXBwLECanOMY4h+J0ILUKYiKSYEGcNlpf3kVfRSOZy8rxzpo01tkZpPae\nQpyGgfdfd+AZ4Y/dJ9e8T92hTm74h4UUTEk74XMffPBR9v38P5ny9ZuY/oOvnfBxjke0L0TnO/vp\n3VEPpoliUUk+u4iUhUWo9oE/Xr//ShXbGnpZfWUx8/OSMEI+Au89Qu9Lv8AM9aG4Ukj67C9wnn3D\niJv2mKbJ1qoNPP3uGvY37gIgJ3Uy3/7sL8nPmHpC12QYJjs/qGPj+koCvjCKqnDOp6Zw7sXFWMdg\nWEzTMGh64Q32/9uf8FVWA+CeVkTpd/6B7OUXnhGTqJ2s6s4Aj2xt4u2DsRovu6Zw5YwMLitNoyTd\nOW6HYhZCiNEiwYJICGmXeeYyQhG6Nh+ie0s1ZkQHRcE7J5/U84qxeD756azWcYDuzX8lsPlRzEBs\nWE/HnKtJuvY+tKRs4NhlyzB0Nu97naffe4jqln0AeJ0pLDv7iyxdcANO24l1OK6paueNF/fEmxzl\nFaZw6dVlZOWOftMe0zRpXf93Ku/7I70fVQLgnDyJkm+vYtK1l4/b+TTGk7ruIH/Z2sQbVZ2YgFVT\n+MyMDIr8+7ny3LljnT1xmpK/jWIikmBBCHFKmFGDng9r6Xy3CiMQAcBVmkXaklJs6Z7h9zN0pra8\nzaWHHidr1wccns7KOmUhnku+gaN82YjOH9UjvLN7Lc+892caOg4BkOrO4DMLb+HSOZ/DMcKZnD+u\ns93HWy/vZX9FrBlVUoqTC5dOY1r5J/e1SATTNGnf8AGVq/9A99aPALDnZlLyza+Qd+NnUK1ySz+W\nxp4Qf9nWxGv7OzDM2GSAV05PZ+XcbDLdNjZuPDTWWRRCiHHljPvLUrX6SSJ6CwG9E58ZIOJ04C2e\nxqxPX4EzOeXYBxAjIk9Ozhy6L0TPjjp6ttfGh0F15KWQduH0ATMvf5zR145/01/w//0hru6oBcC0\nOHCdfR3uC27Dmn/WkPt9vGxFomHe2vU8z216mJbu2CRomUm5XL34y1w4+ypsFvsJXVcoGOG9Nw6w\n5Z1DGLqJ1aax6KKpLDi/COsYjKHf+f5OKu/9PR3vbAXAlp7K1LtuoeCWFWiOE7vGM0lzb5jHtjex\ndl87ugmaAsump3Pj3JwBHZbl3iUSScqXmIjOuGBB0ZKwaUnYgPhgiQeg8ffvYuhthPQ2/EYPQVVH\nzcigaNG55M5ZMOIOqUKcKUJN3XRvraFvTyOHZ6ayZnhIW1KKqzhz2Kfu4eot+DeuIbDtaYjGgosu\nZx4vJ1/Fxdd9lXklk0d2/kiA1z98huc3/zcdfbGn/rmphaw49yucP3MpFu3EOvV+vF8CwKz5eSy5\nvBRP0uh3cu3esZfK+/5A22vvAmBJ9jLla1+g8LbrsbiHn7hOxLT5wjy2vZmX97YTNUxUBS4vTeOL\n83LITZIgSwghjuWMCxY6yyJ0VHyIxd+LBysuLQW7loGqZaJasnBasog3VuiF0KsdHFr/ItFoC0G9\nHT9+ok4byVOLmXrBRbgys6QD3BDGpF2mooCqjNt/DwOVKMZx7aNqCqp2Cq5HVVCslpNuy27qBr7K\nZrq31BBq6Iqnu0oySZ5fiGNy2pDfvxkJEtj2NP6Na4jUxJ6MoyjYyy7HdcFtPFA9me2Nfi52ph4z\nD6+9sZ4+Zx0vfvA/9Pg7AZicWcKKxatYPP3SkxoKdXC/hFQu/swMcvJOfB6GE9W79wD7/+1PNL/w\nJgCa20XRP36eoq/eiDXZO+r5mWg6/BGe+LCZF/a0EdFNFOCS4lRump9DfvLwQZ+0KReJJOVLTESK\naZrmWGditLz22mvMnz9/yHU1+/az78316M21OKM6Xs2FU0vFqmWjaMM3pTCNAFG9lZDRTZAgpttO\nWslUJi1YhCsnb1wO4Tka5IZ4etH9YXo+rB3Q1Ei1W/CW55E0bzLWlKGfcEc7avD//c/433sE09cB\ngOJKwbXoJlzn34olo2jEeegLdPPylsd45G9/wpUbu20V58zis+etYn7xElTlxGv/huyXcOV0ps3O\nHvXg03+ojv3/Zw0Nf1sHponqsDH5K9cy9Y6bsGUcO5g603UFIjy5o4XnKlrjMy1/akoKN8/PoTD1\n2P1W5N4lEknKl0iUrVu3cumllybk2BIsHENfb4Dtb75O1+6t2H3deBQLHi0Jh5aOpmWCOvzIKqYZ\njTVtMroIKwHw2EmZWkT27Lk48grQpDOiGOdCzT10b6nGt6cpNk8DYE13kzy/EE9ZLqptcBk2DYPw\nvjfxbfgToYq10H+LseTPwX3BKpzzP4diG3nzmS5fOy+9/z+s2/YkwUis+/PMgvl89txVlBcuOqkf\n87F+CVVsead6zPslBOqbqfr3P1P/2IuYuo5itVDwxauZeteXcORmjmpeJqKeYJSndrbwzEetBKOx\nsnpeYTK3LMhlatqJdW4XQoiJIpHBgvxaPQaP18kFVy2Hq5YPSNcNgwO7D7HvnTeINFbhjAbwKhbc\nmgenloZFy0TRUtEsObjIwQUQAnZD8+59YO7BMLoIG51ElABKko2Ukilkzp6PIycHRZM+EmJsxJoa\ntdC9tZpQ/VFNjYozSZpfiLNw6KZGhr+LwPuP4dv4EHprVSxRs+GYew3uJbdhLTz7uH7Yt3Y38uL7\nf+G1HU8T6e/bMGfKuaxYvIqZBfNO6hrHS78E0zTpen8n9Y+/SP1Tr2CGI6Cq5K1cTsm3bsVZkDtq\neZmomnvDrN3Xzv/uasEfiQUJiwqSuHlBLtMypE+HEEKcLAkWTpCmqpTOmkrprMGTOwWCYXZv20fV\n1o0YzVW49QDJmgWP5sGppWLTMkDLQNXScGhpOAD8EN0BjTt2Yprb0PU2wmYXusPAPTmXzLJy3FNK\nsThtg843HklV68RzIk2NDH8XwV0vEdz2DKF9b4EeGzJVTcnDff5XcC6+Gc07sqfihmlwsHkP26o2\nsHX/Bg40746vO6f0IlYsvpXi3Fls3LgRCk78OsdDv4RgUysNT75C3eMv4q+qiafnXPNpSr+zCndJ\n4ajlZaJp6QvzYWMfOxp7+bCxj6becHzdgjwvtyzIZWbWic2lAXLvEokl5UtMRBIsJIDTYWP+ubOZ\nf+7sAemmadLa3sfu9yuo3rUZtesAHjNAsqaRZPHg1jKwadkoWiYWSw4WckAHDkL7wTraqcPQuwgb\n7UQtIWxZyaRPn0bK9HIsqUnjtmOvGN9CzT10b63Gt/uopkZpbpIXTMZTNmlQUyPD30Vw54sEtz87\nIEBAUbFNvxj3+V/BPmspinbs20sw7Gdn9Sa2Vm1kW9VGunxt8XU2i4NzSi/imsVfZnJm6Ulf51j3\nSzBCYVrW/Z36x1+k9Y33wIh91/bsDCZdv5T8lcslSBhCS1+YHY19fNjYy47GPhqPCg4APDaNOZM8\nfG52FuU5w8/nIYQQ4sRIn4VxIhTROXigiT2bttNe9T6uUDOpmkGK1YVXS8OhZaFouaAOPdSfaYSI\nGq2ElV7UZBtJUwpJnz4b+6RJaPYTG0JyojENA0xAUcZlx/JIyAeAZnWOeCheXY9dk6qe3DWZuh4L\nBFQFRVUJt/QSrOvEt6+Z4KCmRpNxFqYP+AFt+DpjNQjbnyG09y0worEVioqtdAmOudfgKF8+olqE\n1u4GtlZtYGvVBj6q+YDo4WADSPdmM794CfOLlzBr8tnYrCfXJKi7M0DV7hYqK5qpO9SJacT6JSzu\n75dgGYV+CT279lH/+Is0/G0tkc7YrNSK1ULWFReQt3I5GRctQrXIc5vDWn2Hg4NY7UFDz8DgwG3T\nKM9xMyfXy5xcD1PSnGjj8P+7EEKMJumzcAawWzVmTM9jxvQ84Ej/CN0wqWvoYM/mCmp3b8bac5BU\nNUyq1U6SJQmXlomm5aJoKVjVfKwAfRDZCU079wB7MPQuImYnui2CPTuZlClTSSqeiS0jFcVy+vSN\naH15F30VjWQuK8c7a9JYZ2eQ2nsKcRoG3n/dgSc1f0T7PLnmfeoOdXLDPyykYEraCZ3XiOgcevBJ\n2l7fRtp5i9EcXsywHl+v2CwknTW4qZHh64zVIHz47OAAYdqFOOeuwH7WcjRPxief39CpbNjZHyBs\npLZt/5FzozBt0lm06GVUB6bznc9cyIL8E28OZJombc197K9oprKihZaGnvg6VVWYtSCPCy5LfL+E\ncEc3jU+vo+6xF+jdVRlP95aVkHfjZ5j0ucuxpcskkBCbByEWGMQChIae0ID1LqtKea6Hublezsr1\nMFWCAyGEGFUSLIxzmqpQmJ9OYf4SYEk83TRNWrv87Nu6j/0fbifSuokUs5c0q0ayxYtbTcOuZYEl\nG1VLwU4KGEAj9Db66H3nA0zTwDA6iCq94FZwT8okZWopjsIpWJPdJ/UkW9pljh09GCFU30WgrpNg\nXSeh5m7QU8m44BIAzLCOJcWJIz8VZ0Ea7mnZ8aZG8QBh+zOE9r19JEBQNWzTLsI595oRBQi+YC8f\nHnyXbVUb2Hbg7/QFu+PrnDYPc6YsZn7xEuZOPZ8kVyp3v7QfvaF3RM2BPl62DMOkoaarP0Boprsj\nEF9ntWlMmZZBaVk2U6Zn4nAmrpbN1HXa3txM/eMv0rx2Q6yzMmBN8ZL7uSvIW7mcpPJpZ3xzwWBE\n572aHrY3xPoc1A8VHOR4OCvXw5xJXopHOTiQe5dIJClfYiIalWDh1ltv5cUXXyQrK4udO3cC0NHR\nwQ033EB1dTVFRUX89a9/JSUl9qTt3nvv5aGHHkLTNH77299y+eWXA7Blyxa+/OUvEwwGWbZsGb/5\nzW8ACIVC3HLLLWzdupX09HSeeOIJCgtP77a/iqKQleom69J5XHDpwJFhuv1hDnxUzY6tH9Fe8z7u\nSBMpWjRWG6El4dLSsfT3jdC0DDQyIADRKmiragAaMM0IutGBbglgSXXgzcvFUzgVW+4krEnOcdnM\n50wV7QsS7A8MgnVdhFt7B2+kROjcuhXv7EKmfmMlFs+R5myGrwP/1sN9ED4WIEy/OBYglC/7xADB\nMA3q2qrYcfA9tlZtZE/dNgzzSO1FTmoB84s/xfziJczIn3vCsyvHrzmiU1PVTmVFC/t3t8RHNAJw\num2UzMyitCyLycXpCW9q5Kuqof6Jl6j/60uEmvr7XCgKGZcsJm/lcrIuvwDNITMF13QFeWF3G+sr\nO/AdVbPlsqrM7g8O5uZ6KU6XmgMhhBhPRiVY+MpXvsKdd97JLbfcEk9bvXo1l112Gf/yL//Cfffd\nx+rVq1m9ejUVFRU88cQTVFRUUF9fz6c//WkqKytRFIXbb7+dNWvWsHDhQpYtW8Yrr7zC0qVLWbNm\nDenp6VRWVvLEE09w99138/jjj4/GpY1LyS4b884pZd45pcCKeHowanDoUDP7t+yjZm8FetsWkrVu\nUq0qqVYnXjUFp5qJaslG0dKwaNlYTKAD/B0m/p1VQFVs/gizC9MWxpJkw52bhStvMrZJk7CmuFCt\nmjw5SRDTNIl2+eO1BsHaTqLdgYEbaQr2nGSc+ak48lOxT0qh+o+P0/r6K3hmfgECdQQP7CbStIdw\n1XuEK4cOEBzly1E96UPmIxINc6Cpgj3129lTt419dR/iCx0JUlRFY9bks+P9D3LTTj54DwYiHNjb\nSkeNm/949XUiR/3gTE5zUlqWTUlZNpMmp6Am+MdmtNdH0wtvUPfYC3Rt3hFPd03JJ2/lcvKuvxLH\npKyE5mEiiBom7xzq4vndbXzY2BdPn5nl4vzCFM7K9VCa4RpXwYHcu0QiSfkSE9GoBAtLlizh0KFD\nA9Kee+453nrrLQC+9KUvcdFFF7F69WqeffZZbrzxRqxWK0VFRZSUlLBp0yYKCwvp7e1l4cKFANxy\nyy0888wzLF26lOeee46f/OQnAFx77bV8/etfH43LmnAcFpUZJbnMKMkFLoyn64ZJXVsvBz88QO2u\nStobdmONVpNuDZFmt5GiuXGrKTjUDBRLdmz+CCUDokAH+DoMfB8dAg4BYJg9YA1iSbLhysrAkZsb\nCyRSXagO6xnfDOOTmKaJEYwQ7QkS7QmSFQqR4oToe1XUv7OPSFcAwz+ww6di1XDkpeA4HBzkJKNo\nCnpnLdGmrQT+vgdr84uUXn4QZ/tPaf35jwaeVNWwTb+kP0BYNmSA4A/1sq9+B3vqYsFBVeNHRPSB\n+chIymFmwQLmTb2AOVPOxe3wnvT30dsdZP/uFvZXNFN7oAPDODIeQ/akJErKsigpyyYj25PwcqUH\nQrS++g6Nz6yn9dV3MEKx69dcTnKuvoS8lctJXTRHyjexTsov7Wnn5b1tdPhjgajDonJJSSpXzcyg\nOF3mPxBCiIlizPosNDc3k52dDUB2djbNzc0ANDQ0sHjx4vh2+fn51NfXY7Vayc8/0ik0Ly+P+vp6\nAOrr6ykoiA28brFYSE5OpqOjg7S0wR1C77jjDiZPngxAUlIS5eXl8Uh/48aNAGfkcmFWErXOPqac\nk8vNF1wPwIYNG+gORjFTCqjYvp/3/v4aocBmZuQqpNujNLb24FbtnF9QilPNYGtDD2gpLCgsZ0tV\nXf833sCCwihQy5bqCkzCLCguRHWobG84hNXl5NxzFmFJSWXz/j1odgsXXPgpNKeNdz54D0VRRnw9\nm/dsJ1DbwZXKWWP+fQ61/H6TgtXQuKQnTKC3nQ1vbUD3hzm7aBbRngDvbnsf3R9mQd4MALZUVwCw\noLAMs66Dd/qXz5k5F2deKtvb92PN8PKpJTPQW/byDHx4xwAAIABJREFU9vrH0dfVcLa3g2jTXjbV\nxEZfWpgT+4++NQw0weIZk7DmzuSDLi9a+hQuXvk1VE96LL/bd3PBBRfQ0dfKk8/+DzVt+4kmt1PT\nUkl7TWz25LTJsdlwLd1pFGSWsPzyq5mRP5c9O2ITsZ038/i/H00xiezfxtsvHCQ6cy5tTX28+947\ndHX4KZxUBkBN424yc7zkF6Xyuc8vY+dHW9BpIjOnJGH/fmZUZ4Zhp/GZ9bz+7AsYgRBlqgsUhbqy\nSaRftIirvnUHFrcrtv/f/z5uyttoL2/YsIHKtgA1nhLeq+mme/92AGYvWMxVZRm4WnbjoJfi9Mnj\nIr/DLR9OGy/5keXTa/lw2njJjyxP3OWdO3fS0xMbxKOmpoZVq1aRKKM2dOqhQ4e46qqr4n0WUlNT\n6ezsjK9PS0ujo6ODO++8k8WLF/PFL34RgNtuu40rr7ySoqIivvvd77J+/Xog9ofp/vvv5/nnn6e8\nvJy1a9cyaVJsBJySkhI2b948KFgYz0OnTiSmadIdjHKwppWa7ftp3VtNV0s9Ub0Bl62ZFGeU5pYe\nziuYRJKSgkvNQNWyMC3ZoDqP40wGiqaj2hU0hwXNbUfzerAkedHcDjSnDdVpQ7VbQDcwD7+iR33W\nDUzdHLgcNcAYarvYthgmKMSGYFWU+GcUhl7mcNrh9f3LKChKbLKzaG+QaE8A3Rf+hOuNUWwWLEmO\n2MvrQHNraDYdzRJEoQezpxK9aTeRpt1Em/ZgBnqGPI7qzcKSOxNLzgys/e+WnOmozoGjDZmmSUPH\nIfbUbWdvf81BS3f9gG001UJx7ixm5M1lRv48puWdhcd5YqMWhYIRWpv6aGvupa25j7amXlqbegkF\no4O2tVhVikozKCnLpnhGJk6XjY0bE9tB0DQMOjfvoPGZ9TQ9/waR9iNDyybNnUHuisvIvebTOHJH\nNtnc6a4nGGVdZTsv7G6Pj2RkURXOL0rmqpmZlOe4J1RtS6LLlzizSfkSiXJaDp2anZ1NU1MTOTk5\nNDY2kpUVa9+bl5dHbW1tfLu6ujry8/PJy8ujrq5uUPrhfWpqapg0aRLRaJTu7u4haxXEqaEoCilO\nK/OmT2Le9IFDlPYEo1S39FC96wB7P6qmr6YRX6AZxbIDh7OVJGeQVE3Fo6i4FBtuXDhwY1M9qIoX\nVC+mloSpekF1Y+oquh90P9ARAkJA+1hc9qmhgOZU0RwGqjWCagmg0otqdkC0DSXUiBlowWzqwjjY\nRdTXSVT/5ABDcaUeCQYOBwc5MwY0JwpHgnT62uhsP0BnXxudfa109rXS2FHD3vrt9Aa6BhzTaXMz\nLe8sZuTPY0b+PIpzyo57zgM9atDR6qO1uTcWEPQHBr3dwSG3dzitZOZ4Sc/2kJnjJSPbQ1ZuElbb\nwA7KifhDa5omvbsqaXx6PY3Pvkqwvjm+zl1aGAsQPnsZ7qknMXX0acQ0Tfa2+nl+dxtvHugkosee\nOWV5rCyfkcHS6emkJnDkqUSSH3IikaR8iYlozIKFq6++mocffpi7776bhx9+mBUrVsTTv/CFL/DP\n//zP1NfXU1lZycKFC1EUhaSkJDZt2sTChQt55JFH+MY3vjHgWIsXL+app55KWGQlji3JYaF8chrl\nk9Ng2dnxdF9Yp6bDT/W+Olp2HaD+UBPh1k6MYC+mJUDEESDi6UZ19mGz9GA3O3HTR5JpkIyDJNx4\nTBdOxY1N8YCa1B9YeDEVJ4oZAaJgRsGMoJhRINK/HD1qfST2IhrbxuzfhsiRZQ5XtqmxWgKU2Of+\n6gNTOfI5nq5w1GcVVBtoNhSLDSKdEKhFjbaB0YnCkco8k9gk3Ue66g7B6kR1pfS/UtEyi+PBAZkl\ndKsq7b4jAUBn/VY6966LBQf9ab7g0LUPh6W4M5iRH6s1mJ4/l8LMUlR1ZKMIRcJRutoDdHb46Gg5\nHBz00dnmG9DH4DCLRSU9y0NGtoeMHC8Z2V4yczy4vfZRfwLtq6qJBQjPrMe3vyae7sjPJveay8j9\n7KfxziqdUE/GEykY0XmjqpPnd7exvz3WsV4Bzsn3ctXMTM4pSBpXnZWFEEKcvFEJFm688Ubeeust\n2traKCgo4Kc//Snf/e53+fznP8+aNWviQ6cClJWV8fnPf56ysjIsFgsPPvhg/A/1gw8+yJe//GUC\ngQDLli1j6dKlAKxatYqbb76Z0tJS0tPTz+iRkMaLj1e1um0aM3O8zMyZCZ+aGU+P6AaNPWFqOv3U\nH2ikY181fQfrCDZ2gM+PHonQZTEJJCv0Jan4PSZBexCr0ozDrMAR7cRm+jAVHdPU+3+3mxz9cyXe\nUsiEwyuO/sGuHElGATTTxHr0CxOraWA1TewoOBQVu6JiN+lfZ2LRdTRDR9MjqMbQP/1NuxvDkY1h\n96DbPeh2F7rVRdTuJGJ1ErE5CVvshK12QhYbIc1KULMQURSiepSoHiGih+jyddB54E06dzw5qEZg\nOJpqIdWTQaonc8Ar3ZvNtEnlZKXkf+IP4lAwQle7n652P50d/iOf2/34ekND76RASrqLzGwvGTmx\nwCAz20tKuuukRis62Wr8QH0zTc++RuMz6+nZsTeebktPJeeqi8n93OWknD0bZYSzbJ/uwrpBTWeQ\ndZUdA4Y9TbJrLJ2ezvIZGeQmnT5Dw0ozEZFIUr7ERDQqwcJjjz02ZPqrr746ZPr3vvc9vve97w1K\nX7BgQbzPw9Hsdns82BATi1VTmZzqYHKqA6amwadnAUf6RdR0hajrClBf3UK4sobooTpsh5pJ6rXi\nCWViN0Cx2NBtdgybg4jNRsRhIWq3ErVrRGwaUZuKoRqYRDGUCIYSPfK5/z22HMUggqGEiSoBdCWI\nrgQwtBC6EiBCAPOT6wAAUD4WaIQVhaCiYsR/jOugd4O/+xOPMxKqopHiTj8qAMj42Hvs5XEmoyrD\n//g1TZOAPxwPAI4OBro6/APmMfg4TVNITnORkuYiNcNNZo6HjGwv6VmeQU2IRptpmoSa2vAfrKV3\ndxVNL7xB57vb4+s1j4uc5ReRu+Iy0pYsQLWMWWXrmNINk5a+MPU9Ieq6Q9R3B2PvPSFa+sIcXUFU\nlu3mqpkZLClKwXYazQAvhBBiaKPWwXk8kA7Op4ewbtDQE6K2K0Rdd5DGpi66GtrwNbcRbu3E0dON\nu68HV18v7r4enH29uPwB7JEwimZBtznQ7Q4MmyP22eaIBxu6zYHucBF1eYi6vOjWI09MTUwMIuj9\ngUQsoDjy2dRCKPYIWEIYlliAESWAoihoqgVNUdFUKxaLDYtqwaJZ+1+xz1atf51mwWqxYrXY4tvY\nrVZsNjtWixWvM41kZxpeezpOSxKGAXrEIBo1iEZ1ohEDPWoQjej9aQbRcDT20k103SQajW0TDEbo\n7g8KhupgfJjFqpKS5iIl3UVquouUdHd82ZvsOOl5DaKGiWmaaKqCepxNfkzTJNTSjv9gXex1oBbf\nwVr8B2LLemBgHwnVbiPzsvPIXXEZmZeeh+Y8fZ6KfxLTNOnwR6nv6Q8E+oOBuu4QjT0hIkM0GQNQ\nFcj22Jif5+UzMzMpTj+eQQqEEEKMhtOyg7MQJ8qmqRSlOilKPfyjJQeAlhd30FPRiOWmT+PLS6Wl\nL0xzb5jmvjBV/Z8727qxdHXh7uvF1deDu/dIUOFubcTV24O3twtXX2yCMUPTiDo8RJ1uok5PLIhw\nxpaNlDT0pCyiDhdhzY6OCoFhMn0MBrGu28M06IlTVAXT8AN+oO4YWx8fq00jNcNNSnp/LUG6K/7Z\n47UndNbu779SxbaGXlZfWcz8vKRB603TJNze2R8A1OI7cFRQcLAe3ecf/rrSU3BPycc1tYD08xeQ\nvexCLF53wq5lrOmGyaHOAAc7gtR1B6nvORIYBCLGsPtluKzkJdvJS7aTn2wnP8lBXrKdHK8NqyY1\nCEIIcaaSYEEkxFi1y1SBdLtGUbaHWdmD15umSU9Ip7kvTEt/INHcF6alP6Bo6QvTG9KxRMJ4uzpJ\n6urA29VBUv8rraeT5NZqHF0dKB97EqtbrP2BRCyYMNPSISsbPB4Uh4NIxwEUi4ZaMBvV4ca0WDA1\nC6aqYSoqOmDoJrpuoEdj7wFfGMMwUVUFwzAx+89psahYrBqaRcViVbFYtP40Fc2i9af1p1tVfB/t\no/u9baTNLyP7koXxfW02C8lpTlLTXTjdtlHpyGsaBro/QLTXT7TXR9TnJ7ViHyX1nQSiB6i2GrH0\nXj/B+iZ8/TUG0Z7YDMAVhj8218FRrCleXFMKcE0tiAcG7ikFuKbmY00++cnhxrO+UJTdLX4qWnxU\nNPvY0+obNihIsmvkJ8eCgLykWFCQl+wgL8mGwzq2TcbGC2lTLhJJypeYiCRYEGcURVFIdlhIdliY\nljH0LLI9weiAttu1/e9bukOE+oeIVHQdT29XPIhI7uogy9dNek8n7s52XI0HUKr3DJOLtcNlDmuK\nF2tqMtaUJGypydS3heiJWJh5fgnpJTlYkjxY3A4sTgea04HqsKM57KhOO5rTEfvssKNaB/7XPlC3\njX0fvMaUxblMv6h4xN+XaZoYoTC6P4juD6D7ArHPgQDRo5f9sfeoz0+014/e5yPa1x8M9PqIHrWs\n+wLwsdaPc/tfvcDuYfJiSfLgmppPuluhePG58aDANaUAW+rg2ojTkWmaNPSE+KjZFw8OqjuDfLwB\n0aQkG6Xprv5aAgf5yXYmJdlJcsgtXwghxPGRvxwiISbyk5Mkh4Ukh4WZWQObqhimSZsvQt3hzp/d\nOdR1x/pN7P1YJ1BME5evl6SuDjx+HxlGkOSmClL6OkhKKcAbiWD1+dD6eqGnj2hnN9FeH5HOHiKd\nR4Y5tQEZQGvFJlqP4xoUTYsFEs7YS/fH2u03/G0tPTv2xoMMxWrBCARjP/z9wf4f/0cCgKgvAMbw\nTVdOlOZyYvG6sXhdaB4Xh0IqHViYPTWTrKwULJ5YuiMnM15bYE1PQVEUzjvluRm/QlGDyjY/Fc2+\neIDQ/bG+JVZVoTTTxawsN2XZsddEneNgPJjI9y4x/kn5EhORBAtCjJCqKGR5bGR5bMzPG7gurBs0\n9YSp6wlS1xWiridEfbeH2q40moJR9gPMWDDssVMcFnJcKrlmhCwzTEY0QEokyKF3Kok0tDF3RgpO\nIkQ6e9ADQYxgCD0Yir0HgrHPgTB6/7Kp6+g+/6C2/KHGVkKNxxN2gGKzYnE50NwuNJcDzeVEczmw\nuAYua27ngCDA4nFj8bhiyx432uHPbieKNrDJy7Mv7WdbQy/nXVlM2RB9Fs4U7f5If2DQR0Wzj/3t\nAaIfa+6W6rTEgoIsN7OyPZRkOLFJnwIhhBAJIsGCSIgxaZepKKAqYzKBlu3oIWALB64LRg1a+8Js\n++UKei3p+C79Ed26I95XorUvTFcwSlcQYg2XrP2vJFiQBQvgWU0h22sn22Ml3W0jw2Ul3W0l3WUl\ny2Ulw20lyWFBVRRM08SMRI8EE8EQ1Q89RfWfniR3xWXkXXdFfJ0R0WO1Dy4nlv4f+/EAwB37PBrD\niWoqWFQFhWP/2030Nr++sE5Tb5im3lD/e5imvhCHOoI09w0colYBpqY5KMv2MKs/QMjxjk7fkjPV\nRC9fYnyT8iUmIgkWxGkja1k5WcvKxzobgzgsKgUpDgr+/1eGXK8bJh2BCC39wUNL35HPhwMKf8Sg\npitITVdwyGNA7Md2uisWQKS7rfGAIsPlIP3/+wrl3/xH0t02HONwbPxfLC0Z6yycMmHdoKUvfCQQ\n6A3ReFRw0Bsafq4Ol1VlRpY7Fhhku5mR6cY9xnNVCCGEOLPJPAtCTAB9oSjNfRFa+8K0+SO0+cK0\n+yO0+yO0+WLvn/Qj9GgemxavlUh3WXFZNVw2FadVw2VVcVk1nFYVty327rRquPvTHFb1uOdBON3o\nhkm7PzKwZuCoz+3+yKAOx0ez99cS5XhtR16e2JClk1McaAkcolYIIcTpSeZZEOIM57Fb8Ngtnzgh\nVihqHBU8hI989kVo6w8s2n0R+sI6fWGd6s7haymGo0A8gHDZjgQWrv5Aw23T8NgteO0aHptGkt2C\nx67FlvvTx3v7+sPBQPNR83QcDgaa+5uN6Z8QDRyexCwWCNjJOfqz10aq0yLNiIQQQkwYEiyIhJB2\nmaPPblGZlBQbInM4h+eZOFwb0RmIEIjo+MIGgYhOIGLgC8fe/REdf3+aP6zjjxgEowb+SOzVPvw8\naJ+cT03BGw8iYgFELLjoDzLsR4IMp0XFoilYNRWLqmBVFbZufpfzzz8fq6ZiVRUs2vHN+jxcMHB4\nueUYwQBAust6VEBwJBDI8drIdNukdmACk3uXSCQpX2IikmBBiDPI0fNMfFItxXB0w+wPGHT8RwcV\n4di7r7/Wojek0xuK0hc68vnwe0g3CfljtR0norfqIN5DyQPSNAUsmopNU7CosdfhYMLan6apCp2B\nCC19kUEjDH1cmstCjsdOttdGtsdGttdGTv97ltuGbRz2+xBCCCESQfosiNOGaRhgAoqCMg6f7EZC\nPgA0qxNVHdmPTV2PXZOqntw1mbqOqRugKqMyutGw+TBjwUZvaGBA0RWM0heK0heOBRyH14eiBhHD\nIKKbRA2TiG4SMQyiA5aP/xaW5rT0BwL2eCCQ45VgQAghxMQkfRaEGIHWl3fRV9FI5rJyvLMmjXV2\nBqm9pxCnYeD91x14UvNHtM+Ta96n7lAnN/zDQgqmpJ3wuQ8++Cj7fv6fTPn6TUz/wddO+DgnS1EU\nnFYNp1Ujy3Mk/e7+eRZWX1nM/OOcZ8E0TXQTIroRDx5iwcRRy/2BRarTQpbHhl2CASGEEGJE5C+m\nSIiNGzeOdRbEaerjZUtRYs2MnFaNJIcl1p/AayMv2UFRmpPSDBczs9ycleuhIMUhgYL4RHLvEokk\n5UtMRPJXUwghhBBCCDEkCRZEQshoDyJRpGyJRJLyJRJJypeYiCRYEEIIIYQQQgxJggWREGPSLlNR\nQFXG7YRXBirR49xH1RRU7RRcj6qgWC0omnbyx0oATQWLqqBw7GuVNr8ikaR8iUSS8iUmIhkNSZw2\nspaVk7WsfKyzMaySX7Uc9z6fX7XwlJx76h03MfWOm07JsRLhF0tLxjoLQgghhBiCzLMghBBCCCHE\nBJbIeRakGZIQQgghhBBiSBIsiISQdpkiUaRsiUSS8iUSScqXmIgkWBBCCCGEEEIMSfosiNOGaRhg\nAoqCoo6/EZEiIR8AmtWJqo4sTtf12DWp6sldk6nrmLoBqoJqGX/jGkQNE9M00VQFdZyOZiWEEEKM\nV9JnQYgRaH15Fwd/tZ6+3Y1jnZUh1d5TSNvdBfi7G0a8z5Nr3ufff7SOuurOkzr3wQcfZd3kC6lc\n/YeTOk6ifP+VKpb/+UO2N/SOdVaEEEIIcRQJFkRCSLtMkShStkQiSfkSiSTlS0xEEiwIIYQQQggh\nhiTBgkiICy64YKyzIE5TUrZEIkn5Eokk5UtMRBIsCCGEEEIIIYYkwYJIiDFpl6kooCoo43Q0HQOV\n6HHuo2oKqnYKrkdVUKwWFE07+WMlgKaCRVVQOPa1SptfkUhSvkQiSfkSE9H4G0NRiBOUtaycrGXl\nY52NYZX8quW49/n8qoWn5NxT77iJqXfcdEqOlQi/WFoy1lkQQgghxBBkngUhhBBCCCEmMJlnQQgh\nhBBCCDHqJFgQCSHtMkWiSNkSiSTlSySSlC8xEUmwIIQQQgghhBiS9FkQpw3TMMAEFAVFHX8jIkVC\nPgA0qxNVHVmcruuxa1LVk7smU9cxdQNUBdUy/sY1iBompmmiqQrqOB3NSgghhBivpM+CECPQ+vIu\nDv5qPX27G8c6K0OqvaeQtrsL8Hc3jHifJ9e8z7//aB111Z0nde6DDz7KuskXUrn6Dyd1nET5/itV\nLP/zh2xv6B3rrAghhBDiKBIsiIQYi3aZpm7E3g1j1M89Iv11eIYx8sq8w9sa+sldkxGOxN4jxzvT\nw+iI9v+bjeQypc2vSCQpXyKRpHyJiei0ChZeeeUVZsyYQWlpKffdd99YZ0eMkkhPgMantuCvagWg\nY0Mlres+igcPY23H2vvZ9v2pHI4Wdv+fJXzwxF2fuE9rUy9P/HEzTfXdAKz93128vXYfx9tqMOrz\n8+Ht/8qhP/0VgPrHXmDbbd8j0j0+nuBXdwb4l5cq2dPiB+A3G2v446Z6jDOndaQQQggxrp02fRZ0\nXWf69Om8+uqr5OXlcc455/DYY48xc+bM+DbSZ+H0Y4Qi1D+6mUhb36B1rtIsclbMG4NcHVHx+m+w\nvPhzvHqUgKLgNE0CKJiKQueilZy98neD9unu9PPkmvfp6ggMSNc0hdln53PZNbNGdG7TMNh87dfp\nfHf7oHXJ88pY9Nx/oVrHrv9Cmy/Mt1+spKEnPCDdosKnS9L4508VjlHOhBBCiIlF+iyMwObNmykp\nKaGoqAir1crKlSt59tlnxzpbIsG6Nh0cMlAACNZ2EGob2yfogdd/h1cf3PTHZRpYtz+PPsS6jesr\nBwUKALpucmBPK35feNC6obSs20j3tt1DruvZtY+Gp14Z0XES5f9+0DgoUACIGrClvpfOQGQMciWE\nEEKIo42/YVFOUH19PQUFBfHl/Px8Nm3aNGi7O+64g8mTJwOQlJREeXk5F1xwAXCkLaEsn/zy0e0y\nE3m+9rf2UO6I/btvqa4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} ], "prompt_number": 28 }, { "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 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 the 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 be 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", "collapsed": false, "input": [ "figsize(12.5, 4)\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 - 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\" )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 32, "text": [ "" ] }, { "output_type": "display_data", "png": 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FMzQ05MaNG1y6dAmVSkWLFi2oVav4JXM9PT3Onj3LgwcPaNCggbKPzZs3M3bs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} ], "prompt_number": 32 }, { "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", "collapsed": false, "input": [ "## 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\" )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 56, "text": [ "" ] }, { "output_type": "display_data", "png": 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rVqxIcnIyt2/fBuRiT1E4np2/39raulD3LWd8jIfk2jhIno2D5Dlvx44d4/Dh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\nH9fT5v6PHz+uWoK5pZXvtHLzbFhYGBQKRaPXV6xYgejoaJSU/LfNxN7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} ], "prompt_number": 56 }, { "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", "collapsed": false, "input": [ "import pymc as mc\n", "from pymc.Matplot import plot as mcplot\n", "\n", "std = mc.Uniform( \"std\", 0, 100, trace = False ) #this needs to be explained.\n", "\n", "@mc.deterministic\n", "def prec( U = std ):\n", " return 1.0/( U )**2\n", "\n", "beta = mc.Normal( \"beta\", 0, 0.0001 )\n", "alpha = mc.Normal( \"alpha\", 0, 0.0001 )\n", "\n", "@mc.deterministic\n", "def mean( X = X, alpha = alpha, beta = beta ):\n", " return alpha + beta*X\n", " \n", "obs = mc.Normal( \"obs\", mean, prec, value = Y, observed = True)\n", "model = mc.Model( {\"obs\":obs, \"beta_0\":beta, \"alpha_0\":alpha, \"prec\":prec} )\n", "mcmc = mc.MCMC( model )\n", "\n", "mcmc.sample( 100000, 80000)\n", "mcplot( mcmc )\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 100000 of 100000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Plotting prec\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " beta\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " alpha\n", "\n" ] }, { "output_type": "display_data", "png": 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iIzXVPYC6uN7QjP8YyeemkOf+g1Y8+UWB2gLu638owq7E9mF/+YtDe6kzfWRL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6D+MZcifpM1QtahYj7/FqBP+XLcTXjyce/O/y74g/cFllWPL2wyacKX0gL0MW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bDSzffZ5TbVYYG4MR7n9alRvPwVFU1tzGz7MLYJhiaMyODW9r2eNW+f7NOlLF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} ], "prompt_number": 11 }, { "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", "collapsed": false, "input": [ "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 - sign(price[ix])*pred + abs(price[ix])\n", " sol[ ~ix ] = abs( price[~ix] - pred )\n", " return sol\n", "\n", "\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", "plot( trading_signals, opt_predictions, label =\"Bayes action prediction\")\n", "plt.legend( loc=\"upper left\" )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "output_type": "display_data", "png": 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tWiE7O5ubp6Ghwf1bUVERBQUFH7wfQgghhPBXWGZ+rW5IN6s7+iEhIR/0rbEu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\nc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} ], "prompt_number": 13 }, { "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 try to *predict* the best (according to a *`stock-loss`* definition of *predict*). That honor would go the *sparse prediction* model. The least-squares model is trying to find the best fit of the data *with respect to the squared-error loss*.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Kaggle contest on *Observing Dark World*\n", "\n", "\n", "A personal motivation for learning Bayesian methods was trying to piece together the winning solution to Kaggle's [*Observing Dark Worlds*](http://www.kaggle.com/c/DarkWorlds) contest. From the contest's website:\n", "\n", "\n", "\n", ">There is more to the Universe than meets the eye. Out in the cosmos exists a form of matter that outnumbers the stuff we can see by almost 7 to 1, and we don\u2019t know what it is. What we do know is that it does not emit or absorb light, so we call it Dark Matter. Such a vast amount of aggregated matter does not go unnoticed. In fact we observe that this stuff aggregates and forms massive structures called Dark Matter Halos. Although dark, it warps and bends spacetime such that any light from a background galaxy which passes close to the Dark Matter will have its path altered and changed. This bending causes the galaxy to appear as an ellipse in the sky.\n", "\n", "\n", "\n", "\n", "The contest required predictions about where dark matter was likely to be. The winner, [Tim Salimans](http://timsalimans.com/), used Bayesian inference to find the best locations for the halos (interestingly, the second-place winner also used Bayesian inference). With Tim's permission, we provided his solution [1] here:\n", "\n", "1. Construct a prior distribution for the halo positions $p(x)$, i.e. formulate our expectations about the halo positions before looking at the data.\n", "2. Construct a probabilistic model for the data (observed ellipticities of the galaxies) given the positions of the dark matter halos: $p(e | x)$.\n", "3. Use Bayes\u2019 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 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, and 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", "collapsed": false, "input": [ "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\" );\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Data on galaxies in sky 3.\n", "position_x, position_y, e_1, e_2 " ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\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]]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "output_type": "display_data", "png": 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zUa+eiaFDszCZJCwWgYcHlCsn1JXYe6Q0yoO7o9ORb33VosadZcHfH/z9XUPZ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\nBL9GYqLMBx84qFIlcB369PHQv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4dC5aABOBwOBEHA/Hep4unTp5EkierVq4d1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\nskrXrv5RYOcTaNGwNgg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SWVkyrVr5sFpDfTW1E6sVUlN9HDoEH31kIiFB5aGHHKWqzFJT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\nIiMFsbFgNMLMmXl88EE4R46oPPigne7d7T5bDp6QIFixwoROp732zTc76Nz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} ], "prompt_number": 1 }, { "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 ) $$\n", "\n", "and in PyMC, \n", "\n", " exp_mass_large = mc.Uniform( \"exp_mass_large\", 40, 180)\n", " @mc.deterministic\n", " def mass_large(u = exp_mass_large):\n", " return np.log( u )\n", "\n", "(This is what we mean when we say *log*-uniform.) For smaller galaxies, Tim set the mass to be the logarithm of 20. Why did Tim not create a prior for the smaller mass, nor treat it as a unknown? I believe this decision was made to speed up convergence of the algorithm. This is not too restrictive, as by construction the smaller halos have less influence on the galaxies.\n", "\n", "Tim logically assumed that the ellipticity of each galaxy is dependent on the position of the halos, the distance between the galaxy and halo, and the mass of the halos. Thus the vector of ellipticity of each galaxy, $\\mathbf{e}_i$, are *children* variables of the vector of halo positions $(\\mathbf{x},\\mathbf{y})$, distance (which we will formalize), and halo masses.\n", "\n", "Tim conceived a relationship to connect positions and ellipticity by reading literature and forum posts. He supposed the following was a reasonable relationship:\n", "\n", "$$ 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", "collapsed": false, "input": [ "def euclidean_distance( x, y):\n", " return np.sqrt( ( ( x - y )**2).sum(axis=1) ) \n", "\n", "def f_distance( gxy_pos, halo_pos, c):\n", " # foo_position should be a 2-d numpy array\n", " return np.maximum(euclidean_distance( gxy_pos, halo_pos), c)[:,None]\n", "\n", "def tangential_distance(glxy_position, halo_position):\n", " # foo_position should be a 2-d numpy array\n", " delta = glxy_position - halo_position\n", " t = (2*np.arctan( delta[:,1]/delta[:,0] ))[:,None]\n", " return np.concatenate( [-np.cos( t), -np.sin(t) ], axis=1)\n", "\n", "import pymc as mc\n", "\n", "#set the size of the halo's mass\n", "mass_large = mc.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 = mc.Uniform( \"halo_position\", 0, 4200, size = (1,2) )\n", "\n", "\n", "@mc.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 )\n", " \n", "\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "ellpty = mc.Normal( \"ellipcity\", mean, 1./0.05, observed = True,\n", " value = data[:,2:] )\n", "model = mc.Model( [ellpty, mean, halo_position, mass_large] )\n", "mcmc = mc.MCMC( model )\n", "map_ = mc.MAP( model )\n", "map_.fit()\n", "mcmc.sample(200000, 140000, 3)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 200000 of 200000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 18 }, { "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", "collapsed": false, "input": [ "t = mcmc.trace(\"halo_position\")[:].reshape( 20000,2)\n", "\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", "scatter( t[:,0], t[:,1], alpha = 0.015, c = \"r\")\n", "plt.xlim( 0, 4200 )\n", "plt.ylim(0, 4200 );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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ixAm2bdvGkCFDspiTMiphwcHBGI1GPvnkE06dOsWaNWt49tln3VZr0pSu/v3789BDDzFn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CCaN29O7969eeCBB5g4cWLB+1zrkRPtPgQCgSRfr6W2QCAQeAnLly9n6dKl7Ny509NLEQgE\ngjIjPGoCgUAgEAgEKkUYagKBwCcoKbQoEAgEakeEPgUCgUAgEAhUivCoCQQCgUAgEKgUYagJBAKB\nQCAQqBRhqAkEAoFAIBCoFGGoCQQCgUAgEKgUYagJBAKBQCAQqBRhqAkEAoFAIBColP8HVtRHtLs1\n+CsAAAAASUVORK5CYII=\n" } ], "prompt_number": 20 }, { "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", "collapsed": false, "input": [ "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]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 3.00000000e+00 2.78145000e+03 1.40691000e+03 3.08163000e+03\n", " 1.15611000e+03 2.28474000e+03 3.19597000e+03 1.80916000e+03\n", " 8.45180000e+02]\n" ] } ], "prompt_number": 13 }, { "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", "collapsed": false, "input": [ "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]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "True halo location: 1408.61 1685.86\n" ] }, { "output_type": "display_data", "png": 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ixAm2bdvGkCFDspiTMiphwcHBGI1GPvnkE06dOsWaNWt49tln3VZr0pSu/v3789BDDzFn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} ], "prompt_number": 24 }, { "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", "collapsed": false, "input": [ "mean_posterior = t.mean(axis=0).reshape(1,2)\n", "print mean_posterior" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 2324.07677813 1122.47097816]]\n" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "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", "\n", "\n", "\n", "print \"Using the mean:\"\n", "main_score( nhalo_all, x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, sky_prediction)\n", "\n", "#what's a bad score?\n", "print\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 )\n", "print" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Using the mean:\n", "Your average distance in pixels you are away from the true halo is" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 31.1499201664\n", "Your average angular vector is 1.0\n", "Your score for the training data is 1.03114992017\n", "\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Using a random location: [[2755 53]]\n", "Your average distance in pixels you are away from the true halo is" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 1773.42717812\n", "Your average angular vector is 1.0\n", "Your score for the training data is 2.77342717812\n", "\n" ] } ], "prompt_number": 25 }, { "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", "collapsed": false, "input": [ "from pymc.Matplot import plot as mcplot\n", "\n", "def halo_posteriors( n_halos_in_sky, galaxy_data,\n", " samples = 5e5, burn_in = 34e4, thin = 4):\n", "\n", " #set the size of the halo's mass\n", " \"\"\"\n", " exp_mass_large = mc.Uniform( \"exp_mass_large\", 40, 180)\n", " @mc.deterministic\n", " def mass_large( exp_mass_large = exp_mass_large ):\n", " return np.log( exp_mass_large )\n", " \"\"\"\n", " \n", " mass_large = mc.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 = mc.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", " @mc.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", " \n", " return _sum\n", " \n", "\n", " ellpty = mc.Normal( \"ellipcity\", mean, 1./0.05, observed = True,\n", " value = data[:,2:] )\n", " \n", " model = mc.Model( [ellpty, mean, halo_positions, mass_large] )\n", " map_ = mc.MAP( model)\n", " map_.fit(method=\"fmin_powell)\n", " \n", " mcmc = mc.MCMC( model)\n", " mcmc.sample(samples, burn_in, thin)\n", " return mcmc.trace( \"halo_positions\" )[:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "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])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "#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 )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 1050000 of 1050000 complete" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "\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", "\n", "colors = [\"#467821\", \"#A60628\", \"#7A68A6\"]\n", "\n", "for i in range( traces.shape[1] ):\n", " plt.scatter( traces[:, i, 0], traces[:, i, 1], c = colors[i], alpha = 0.02 )\n", " \n", " \n", "for i in range( traces.shape[1] ):\n", " plt.scatter( halo_data[n_sky-1][3 + 2*i], halo_data[n_sky-1][4 + 2*i], \n", " label = \"True halo position\",\n", " c = \"k\", s = 90)\n", " \n", "#plt.legend(scatterpoints = 1)\n", "plt.xlim( 0, 4200 )\n", "plt.ylim( 0, 4200 );" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 14, "text": [ "(0, 4200)" ] }, { "output_type": "display_data", "png": 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P8/rrHo2NcPzxpV6Vu+5KMW/e7p2Qur04/vjjd8q4nTuXErX163fPDP1UCvr2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ZzorqSriOIqpMzYKVkpPSvqd5x4Mlcj5ebLHFICnVyOByASku14HvgRkdagJCKU+K5PlM9Rdhzb\nEnUlmaYGUCGqFBGWSzieT1go4zsu2tXWgLg3SFtBTP6dDCSk+rMhRr0mv43iwAMVt9zSyUc+UuZD\nHwr46U87eeSRNq69tsQuu9gdO9Tak9dek1x5ZZ5HHtm2+P3g8trgnnu6a4p2333wX6ITJ2p22aVy\nvzvu8Hn99YF9iKdNU9x0UyG93NoqufDCxi1uo/W2Fm++KfnoR/Mcd1wLM2e2MHt2E7//vceGDVv0\ndKMWw6HL2nPPyvs9YYLmpps6+eIXS91OmqMNo0WjNtBMzmrssYfm618vMXduG3PmtHHPPW089FD7\nZv2gmTt3bjrBl1SNEj8tKaUd1nMcpO/a+CEqvmN9IZ+H2bMjPvvZgPPOC5Cy9jU+8IDHP/9zlo0b\nB33IKSZNMkydqpkypTtJA9salJ5b08qzmaTWS01KiaGy/vMWzk91fqQtWWO1bEZXTHKpEs4LgfR9\nvHwON5/B9b04t9XDyWTi1rCI0x4G5h82GFTr3HBdhAERGVAGsgLhuLgNeWRLE9l8o60cRoqwbRPR\nug7K7R0xOVdpVay3z4aJ26rxpSELde8N29YZt44UO+1kuOCCgAsu2DrRNitWCD72MdtmWLJEMmdO\n+6g/AW0OhLDTZg8/XLlu0iQ1oJZlgs5OWLTIwXUNn/98ka98JSmhCR56yOOQQ/p/LM+DM84IWLFC\n8t3vWs3TmjWSyy7L89vfdrDbbkNb7Vq2TLJwYYWgrljhcOWVjVx8cZlvf7uwTbcktxamTNE88EAb\n69YJxo83adupjv5R00oagPdUNRwH9tpLs9deQ3s80nHRJv6sxr5k1SdkVS6nxyw9M6BW3kEHKW6+\nuZOrr84TRRVi8cc/Zvj0p8vDXl2uiTuqatel1hdRBJi0upiSVq0BEVeOYmLWw2RsEr+VxG1BVeUx\nIeJJTBMSZwAeYz0/h6hpfQKWOGk75CFd1w58uBKjInB8XFfiNmVobtwFFUZITyK1gVCjTYQKyqgo\ntNXT/oiXqa2ebW4e6EBRr6htxxhKf6T77vNTLciqVZLOzqHflK+/Lrnuuixnn53n8svz/PGPHitX\nbvnzDHYdPvrRMtOnRziOYfbsgN/9rmPAFbVCAf7jP7LMnt3Eccc1M3myttNdMf7yF4/yAOc8Ghvh\nsstK/OM/FtPrXnvN5Y9/9NGb1yXpdS1220336M12220Znn9++/s9N1zeYRMnGqZP19sUSRsNPmo1\nrSw9+MraUKB6HUwcCG6nCeNqWtXJWyuFUXGWqCEOGO8fngcf+lDInDntnHhimF6fyWydYaBqbzKj\nDSoI7FBApGzV0HVBSGYedTRG6aq8Udv+Tdqh6fBDFTkxxqYimCiuSFWZ7hpj0EqhymWiUmDjq/qZ\nHkomU5NJ1WoIx05lyjhD1BiThryD9bFzMxmkI5GOh9+QxZswhuyEcXiZDH6+ATfjI3M5HNfBFEtW\nhxh7yiXTuL1+NhLLtCieAI4joYYL2983cB1DjtWrBT/6USVjajiqvKtWCT7ykUaWLav8wrrjDp8p\nUyJuvbWTfffdel5vU6Zo7rijnY4OybhxmsbG/u+T4PXXHb7znSzJJ/nzn2/gxhsLXHFFHhCsWyco\nFGpNX/vCuHHwmc+UyOXg+uvt4/7Lv+Q44YSQqVOHbk322kvzu9918LGP5Vm+vPZXbtcUhDrqGHJU\nGYBCL/5lWxFCiJSsJS3Prn+vOeZBHK7rwowZil/8ooO335Zs2mTzlofyO+6RR1x+9asM554bMGNG\n1KPHolEqJZ92EtR6nvW09sJ1EUqBTjRhPdhVhKFNZ4jXSwidVpzsNKZtnYqETBnrO9ZbJbIree9q\nOiuESCuxxujYGiMeLFARUjo4DTnwXGShiArKuKUQdsmgNKhNbaggIgrsL2df2AlcEdtu9BXEnlTs\n0kldgyWeXaquQ4V6RW07xlBpT5YvlzXO1EceGQ250Fwp6Ojo/uF//XWX//7vzOb6QAKbtw7jxsHk\nyYMjaWAnRqu/tVevdthpJ81PftJJJmM49thw0C3jMWPgqqtK3HVXBxMnKoJA8Le/bZ5gta+1OOgg\nxT33tPPzn3dwySUlZs8OuOmmTg47bPsTw48WXdZowGhYizSDU1S1srYyqtchyR5NhPddyYuQ0mZ5\nShH7bg3eK6+xQTF1SsBRR5TZbz81pD+Aw9D+0L344kbOPruRBQscoqi7N1mqyYs94HBsFWzevHnx\nbdISGkLaNTHGoKIIVS7balLc0ky/o+MUgQRG68o0bUKGqjNXe0M/f68dKhA1vnaO5yE9F9f38DI+\nbjZDprmF3I7j8ZrHkG1qxM3lcP0MQjq42QbwPXRoUEpTLAqee05y3XULeemlXvzbqiqGtrJmp2jL\nJUV7ez+vbZCoV9Tq6BfVJA3gjDPCIR9s2XVXw7//e4FLL82jVO0ndMMGkZg4j3r09GWrlODcc0Nm\nzGgjmzVszlR6Q4M1ip0zp51XX3WGrbU2ebJh8uSQc84J+79xHXUMESoxPKMH/R2P43kYRw/YXb4a\nNSQjiUdy3SH7nps+XfG+90W8/LL1WDvzzCZ++MMCH/xgQHOz1aU5rpO2QoXrpJUtY0ysE6x6T+LX\naLROHfiNI0hM0lL9XvK6ulYh49go6bkYFcUt5b6rT8JxKj52/ZjDJnqxpHWZPK5wJMI4dvijRSIz\nLrKzjI4CjCPRHQWcbAaRcW3VSkUsXdHEj25u4vbf+UCO/fZzOOCA7tXOJJc28dxbuSbDo49l+N/b\nM2zcKLn00hLnnBMOSSpJ3Uetjn5x++0en/ykLS1JaXj88bYhbbslCEN49VWHX//a5+GHPYyBk08O\nufLKEnvuuW1s05dflpxwQnNKNseO1TzySBuTJ28bx1/Hew9r1wo2bLCmycNtyVKHRUVTZb/3nnwm\nw89+lsX34ZxzAo44Ysu6FsYYnn/e4dRTmwnDCsH56leLXHllqca8e6BCeKM1KghSXR5UPMyk59b6\n0HVJZ6gOV0fKSlFvC8l5T35qPSEJTdeRQgVlomKJqBQQFYoQhOC5IBz+tnZPPn7F+NiTDnzf8NBD\nbUyb1vv5TivF228JrvpUM089XVtZ/fWv2zn11IF1JOo+anVsEaozJ7/+9SL77DM8ejHPs7YjBx5Y\nZONGK6AfM2bbqKQlmDJF85//aae6WloMP/tZR52k1TFqsXy54KMfbeTFF1323jvippsKHH64Gg4r\nqPckbKyQSTlK8mVWPbn4yms+555byQG9806fSy4p881vbsG0tda8b/+A226Fiy+pkLUbbsgRRfDp\nT5doaaFyLF1QLsPGjYIgEGgNTU2GsWOlDaVXOg1Cr25hpoavPTzmQBMGBoveEg2qkVQBcSSOFDix\nbYgOAqJ8FuG4RKFi4QsTuPhjY2uI7b/8S/dUmOrBAem6YAz33JvrRtLASnqGAqOr1lzHkGKotCf7\n7adobtacf36ZCy4Itsp00tix9r8t+VyXy7BokeSXv5zPu+9uHbbneXDOOSHz57fx4INtHH306DJz\nHQ16pNGA+jpYLF7s8OKLdi3eeMPlrLOaePrp7ZelJZOJXbM6Ycv3RJKnmTy20Tp16VelMioI7f/L\nASoIMHH4+foN3aOwbr01wwsvDLyOkuZ3xgRCRxG6UODoA9fx69tayWYrPxZvvDHHY4/1rqlbtEhy\nwQXPMGtWM4cc0syhhzYze3YTF1+c59b/yTJvYYZ1rVmcjG/1eVVajq6ToNUYrgGRvp4ziXqyCROV\n66VrvfAyLS14jXmeX7xjN5J2wUeK7Dj+AQR2uECHESoIYy85O1ShymW0Ujz3XPf13HPPiGnTar//\njVLplOhgsFWIWqlU4ogjjuCggw5i6tSpfO1rXwPg29/+NpMmTeLggw/m4IMPZs6cOel9vvvd77Lv\nvvuy//7785e//CW9/tlnn+WAAw5g33335XOf+9zWOPz3PKZM0Tz6aDs33lhIzXRHOzo74Ze/9Jk5\ns5lrrslzwgnNPPywu9XyJCdP1tvMWtXx3kVXvWQUCb7xjRybNo3M8Qw3UnuKxGl/Sx9P2+qSDgJU\nKUCFIVHJttZ0YD0uTRRhQoUuB5bIxZmhJgjBGHbbTZPLdf+uWLduYKdnSwxNFxNZgYoUJgo5ctpa\n7rlrI7vsUiEHV1+dZ9GiXtqEGv76V4cNMYHUWrBsmcP99/tcc02es85q5tQPNHPnXRnWrhudpD7x\nhjPxsEOPiNuwy9/NcOUnalvEF11Y5NovttLodhBV+eVhTCWtIiaAUjpccUWRxsbKNMVpHyjz61tb\n2XXnUlp9TNu0JragGcT+22oatUKhQENDA1EUMWvWLG688UYeeughmpqa+Md//Mea27766qtcdNFF\nPP3007zzzjucdNJJLF68GCEEhx9+OD/+8Y85/PDDOe200/jsZz/LqaeeWnP/0aBRW7lS8MQTHs8+\n63DBBcGwRv/U0R3PP+9w4om1uYuOY5gzp51DD62/F3XUAfZ76uSTm7sNDD3xxKY+dTnbKrpmXgq3\n+0TngB8r9gwzQqTeYYm/Wuq/Fgv2ddkaqWJsiLmM46iEa+OYHnnE5ZJLGtNYwFzOZgMPJN9XxYQv\nbT8I6+sWdpbQQWg1ZL7L8nUt/Po3WX784yxKCX78404uuqhnw/TXX5f87nc+N9+cpVzufX0uvLDM\n9dcXajRvowGJJi6pbFYMfOOhA+K2tDb8+JY83/4/DfE9Dd/+Zifnn72JJq/D5pU25xFRhON7Nuw9\nimzkVhDaIQzpYIzirRUNrFmlaWpUTJzQSUaW8Zvz9n6Jhk+bdFq0q6ZuVGjUGhrsQgRBgFKKsWPH\nAvTIdu+++24uvPBCPM9jjz32YJ999uHJJ59k9913p729ncMPPxyASy65hLvuuqsbURtprFwpuPba\nHHffbc2yHn7Y5f77O7YoeHco0NpqHeh9H/bbTw+LH9poQRhC1/lupQQvv+zUiVoddcTYZRfDf/1X\nB+ee25RmZfr+1jFfHQmIKkd7mzE+yGnN+MSP1pikMmKsBsoIYSsukcII7PShSaYiJULI9CRvczMl\nQmuECyeeGPHgg20sWeJQKsHf/Z0a0MCWnR5VyfClzdF07ESlk/PBaITnIR3BnruV+OqXI845J2DR\nIoc99uj98adM0XztayU+/OGAN9+UPP+8w8MPeyxZ4tDaKvE8w447Gg44YPR9l1pdoP13hQhVGd4p\nDa6NzSoGhnvv8wHD8cdHfOlLRaZPLeDoiHBTgDCgCiV0OcDNZZGhws35COlgHAVx7qsOFbtPLLBL\nQztRqQRFDZ4fV/Y0RmqMsntDOAaBwXEHaKbJViRqWmsOOeQQ3njjDa666iqmTZvG73//e370ox9x\n6623cuihh/L973+fMWPG8O6773LkkUem9500aRLvvPMOnucxadKk9Ppdd92Vd955p8fn+/SnP83k\nyZMBaG5u5oADDkhdhhMtwnBd/tGPFnL33VngeACWLn2Cxx4rcO65R2+V56/WWsyaNYu5c+eyfr3g\nrrtO5u67M3jeI1x/fYHLL9+6x7M1L2/aJDjqqPezYIEH/DtwEHA8Y8eaUXF8I3W5694Y6eMZqcsv\nvfQSV1111ag5npG8/NxzP+aGGw5kwYKTeP11h5NOeoB33onYd9/RcXxDeVk4DnPnPwHAMcccU/P3\n5Da93X/mzJkYpZk3bx4qiph55JEYY5i/YCE4gmNmHYPBsGDhQqSUHHXEEQjpMu/JBRilmHX0TJyM\nx7wF8zFKc/QRR6INzJ3/KNJ1mTVrFvvvr5k7dy4bN4IQA3h9xrBg4ZMYYzjqsMMwxvDEvPngCI49\n9jhcz2XufPt8s445Bk/Apg2PsPPODoce2v/nY8oUzZrVjzLzSMPnrp7FxlbJvPnzcF3BMcfMYvx4\nw7x5o+f9BZg3bx5GKWYePROA+QsXgBDMPOro9O9IwTHHHksuJ/jYx/7MxRfD2WcfTXMzzJ37NGGp\nxGH7v4+5C+ZjigHCdznmuOMQUjJv/gKk43DU4UfY9/+phehIcdRhR+BkfOY//XiuFZwAACAASURB\nVCRaK2YeORNh4IknnkB6LkcddgQImD9/LjgOju8zf/58li1bBsBll11Gb9jq9hybNm3i/e9/Pzfc\ncANTp05lhx12AOCf/umfWLlyJT//+c+5+uqrOfLII/n7v/97AC6//HI+8IEPsMcee/DVr36VBx54\nALAL8L3vfY977rmn5jlGsvW5cqXg2GObWb++Uq466KCQe+7pIJ/v447DgLlz5zJr1iyUgu9/P8sN\nN1TGN089NeDWWzs3y9NrW8Fbb0l+9KMMv/rVAoQ4nk9+ssQnPlFm553tll+7FnyfdPrpvYBkT7zX\nUV+HCqq/J8pl69n3XkR/eyIRpgNEpTIYk04zOrmM9ReLRedGWQf+xCDWuuaLOOTctiZTWwkpasLS\n+3p+jLH2FnElsPqYVKmSTWcAN5epZHlWR1zFGZ8DXYuafFD6tsEYTUj0em++7TJnjs/ixZILLgg4\n5KAynt/3a4gKJcJiiSceepgZ75uO43m4uQxeU962tWXFuFfE/m1REGAiFQ+NBCDs++q4DtL3iYpl\ndDlA+h6O7+LmczXvw6hofSZoaWnh9NNP55lnnuH4449Pr7/88ss544wzAFspW758efq3FStWMGnS\nJHbddVdWrFhRc/2uu+661Y59IFizRtSQNIBPfaq81UkaVH5hrFghuemmbM3f1qyRKNVdTLw9YY89\nNDfcUOSaaw5G6zZ22UXjeRAEsGCBw5IlDgsWuASBYMaMiGOPjZg6VQ043mlbxEiQk3LZZqDGaodR\ngTpJqyBZC8cZXSStVILWVuvvNphWrG0rDt6Ett89URUbJV0nPlEL69if3CT+zxjAicPME0ImJEjb\nHrUCcxHfUKZh5YnAvKsBcE1ovVbgVpG65MmlsM+R3CZODEisKYzSaRpBXzDGcPSRR9qIpOQ4HCfV\nwY10vNdAIRyHtWsFV1zRyF//ak90v/pVhjlz6FX+kpBhjUFKycxZx6DK5VhPKHF8F+FUTbnGGkch\nBG42i4pjtKTn2qgsGxILGKQrMZFNgVBBhKGIiNMT+iPpW4UWr1u3jtbWVgCKxSIPPPAABx98MKtW\nrUpvc+edd3LAAQcAcOaZZ/Lb3/6WIAh48803Wbx4MYcffjg777wzzc3NPPmkLfX+z//8D2efffbW\neAkDRiZjResJzjqrzLHHjmwET3s7qUg1wWGHRds1IUngeTBpkmHyZEvSAF580eGVV1y+9KUG7rgj\nw733+vyf/9PAySc38dOfZujoGNlj3p6wfr2t5n7wg00899zIT4itWCFYvFgOecRLHT0jiRcaLBYv\nllx9dQPHHtvMxRfnWbDAiXWnfSMxNrUVq3g6L57MHKwlQlckuY5JBUx6XnpZSGnHJY2tVkk3FqyH\nkR0kULFNR6FodUqeZ6thcQC40Sa1fehpIrXbGiZTjSrOuBQCN5uJNXgKhLQautiyIzGltUMM/RC1\n6slYpSsB7NWVvGFsxKUWKrHVyZbgtdeclKSB1Sk/+mjP1iTJehptcH0PJ+fjZF385ib8pkb8psaU\nqKb/UcmFNfHek45jA99dBxAYTGrr4WQ8VBCgI0VUKKE7i0SFYr+vc6sQtZUrV3LiiSdy0EEHccQR\nR3DGGWcwe/ZsvvzlLzN9+nQOPPBAHnvsMX7wgx8AMHXqVM4//3ymTp3KBz7wAW655ZZ0g9xyyy1c\nfvnl7Lvvvuyzzz6jbpBg7701//qvBaZNi/jWtwpcd12RHXccmSGCpHefz1Mz/u37ho98pOdpn+0R\n1RqUQgGuvz4XC6dryavWgm9/u4EXXxx5QjFc2Nr+YX/9q8uNN+Z47TU71ba1/Ox6wtKlkuOPb+aI\nI5qZPftZ/vQnb7u1oRgMhmJP9ORNZu0RVOwlNvATrjHw7/+e5Q9/yLBuneTBB33OPLOJZ58dSGuw\n9nIi5k4tEaozKJVCB0GaVzmQdUjImnRdW02JKyrJ60/IhXAca8NhNIiKpUNCyoRI2p22YpUY41YO\nrofXpyrkU8eebSoM0WGIills4msmPdeeMzfn1GPsntC9WFsk0669/X1LUd1mHYiNSqlErz+u29q6\nX7dmTS+ea13WX3oeT77wPDLjIX3XViuVrvjVxaVToxRRqUTYWcIEERiFIa6mGgVKx/tGosIIE4RE\npSK6HBCVQ3Rgr+sLW6XxdcABB/Dcc891u/7WW2/t9T7XXnst1157bbfrZ8yYwUsvvTSkxzeU8Dy4\n5JKAD384GJF2Z0+YPFlz002dfOpTeZqbDf/xH51Mnz76pnW2BlaskDz+uMtee2lmzQqZO7f7r6uu\n1cc6Nh8PPlhZ33fflbz1lmTixJHZe8ZAe7sl6EuWuFx8cSPnn1/mG98oMmlS3fNuc1EdHWTba0ku\nZO2Jb6DO9MUivPJKLSlTSnDddTluv72j9/ZsT4/dhUgYYxDxMeswPm6hN6tikWRf2slPg1FJtpJA\nhyHS8xExUdTKTnsKx6laqwijIFQK4UicjIeIj0TIXtbJJKWumHhGyhICKWNNnBOH2lesOgbbqlRB\nmahURhXLCM9WBxPSa4+B9P9JRulIIQjgBz/I8qc/eXzpSyWOPz6kubny94kTK+9JghNO6JkUJZUx\nAK0iVCmyJEsKTKhBGoTjEAVBqhV0MxlUEKDKoW1xCxCuixAGx/fQQYhR2v5bG6RroCEHpQBVDpDY\nz0lU7rtwMvoVgdsgpGRUkLRq7cmZZ4YsXNjG44+3cdJJ0XZtzdEV1dqTzk4wRvCLX/jsvrvmn/6p\nwDHHhEycqJkyRXHTTZ3MmDGyrerhxNbUZgUBPPdc7Zf46tUjt/EmT9Zcc00pvnQ8ALffnuHyy/Ms\nX/7eJeebuyd6bWsm123mkjY0wMUXl7tdv3697NOwOqlaJEIx4TgVXVlym+SLryqvMiE9M2fOHPzB\npuQlGQywFS3hyJgwEYv3HYwxlgCp0P5NOrZNmdwXEZ/onRrNUlIpFLHtBnGlzAaQ24vJ4yfHYCt1\nol/tU1foMEQHiqMOPRytrDecCoKKUavSNRWu4dCr2deYXCCtOPa011atkvzgB1leecXl4x9v5JZb\nshQKlb9PmaL49reLCGHf8IsvLjNjRs8/FBOSa7T1whNGcNRhRyCMQXhWo6dKZVRnCRNqVCEgLBYx\nkSbs6KS8fgOltRsINraho8juA98DTMXDLW4fOxkPpyGL25AF2f9wx3YsJa+jGp4He+65/RlYDhb5\nvA2W11rwq19l+PKXC9x2WwelksD3zXtqAnS44brQ2Dh69pznwUUXlXniCTe2bbF46imP22/P8PnP\nl+oZlwNEdRUNo2PBNDVideE4aauxWt80EHzwgyFPPVXm979PhLSGz3ymWFMt6QldRfhARQhP1bHJ\nymCAPea+Y4hSIb2UFS81Q/oAyfVaa5tIIEDGonNjjNUptRUwGJxshrIp4Eor8E+qkNX6p9oXJbof\nS4w0XzOp3BmQnoP0eo+I6g1pm1hgW3wQt2+BTPXaVvnQDcMHRgiBqMoGrdlrXSZOPc/Q0mJYv96u\n0fe+l+XIIyOOP94y+nwerryyzAknhGhtz4F97aF0ilMZkAJVDlFKsnxNnrZ2hx3GlpnQULbvg4qI\nOhXCEZhQEZUDhBR4MgvaoFWESYWV1m9NGoESAuF5+A12wM9EVa3eXvAeqqu891DPM7SoXofJkzXf\n+EYR3zdcemmJj340oKkJdtjhvUHStuaekBJOO622zbDDDiNL3CZPNvz0p52cfPIDNdffeGOWd955\nb34dDnZPVBuKAta4Na4gdc19tML6/gXsXbHzzobvfa/AnDlt/Pd/d/DnP7dz9tkDmCboAakQvuoY\nhOPgZHykK1NrjJ7WITUs1fH/E51Y+vrtRKVwJML3bExUEGECRVgo2LWKIoLWdqJyQFQKCDqKqNY2\nwo4CKjbAFVhi0FOrQ8SZoCKeGE0qa8JxEBkPN+sj3EolD0TPlc6BQEqk5zHvyQW2PWxii5E48sgo\nZYuR2pKL4dKpQVUrsovusBoTJhhOOaV6Xwi+8pUcq1dXyG02CwccoDnwwL5JWgopU2b0xMJneHDu\nWE6YPZ5T3j+Ws87bgRUbxlhNoDH290kUgiNwshlkJouOq6RJEoH0fYwRmCCyOrd4whfAifder63u\n5JAGcNh11LHdIJuFK64o89RTbVx/fZFdd61rk4YTRx4ZkcnYNd5zz4i99x75CtukSYbLLitx++3t\nHH98iOMY9thD1Uxr1zEIiF4qWVuIMWPgiCMUZ54ZcthhasjlJDZaybcEp7dqXw8at26PExNBe3LW\nmDAiLJRQbQVQGh0phDZgNLpcRBeLMeGQSClxG7LIbMYmCvQRaC4cO7xQfZ1MKkApqdn8PSyEQMak\n08lm8JrzOK4DSdsOq8uyLdCKt9qWTtP2hJQU9vN6PA8uv7yMlJXbLV7ssnjx5u9FKSVuNov0HJat\nbODSf2iiWLTvy7JlDg8+mkd6LsZ1kb6PyGSRrovX0IAjHaQQIIWtasoKMTNg28ihqkyYAm42g/T7\nroDWW5/bMepeURZd1yGfh3x+5AnDSGBr74lp0zR33dXOnDkeH/lIMGqC6k85ZRYQMXNmB2vWSPJ5\nw4QJo+PYtjYGuydSX67E82sb7xcnhGDm0Ud3/2MX4pSQ0VQ3JpPBCU1UKFJubbNVFClBWu2S1hoc\nBxOGdgrWASFz6LCMwZ7InYYcWimcfshu0mLt+tyJJ5u14tAIYU/tybRtQvRSUtVLK1o4Do4QHHfi\nCXYiVmv7nEqDI0ApSNu/BpnoAocQNZ5xIpmupNdW6/veZ3Vo3/xmZcpkwwYJbB6BTA1+hSSMjkPr\n2nVas1Yisz5RWwEVRAgpcBqziDDCacjY98Bx0Soe8pACo+w6qlBhVATSszYtMCBvuzpRq6OOOoYN\nQtiqyBFHjM4p41wOdt996Eh7dTb29ozhqKB1xUCnRLfoOapIQWKhUdMiFcKayyYmulV/02GEMQKR\nDAl0lgCDCsoY38fxMxilkEIgcz4Sg9uQi201FNJzcDIuOA5aaRyl0SKq6M6S569Cb+ueXG9M3EKl\nyzSuMWgVpIa4RoW9tqRTMiglMuNXCF6SZRpG6UY3WtdU+aDSntzc/dHVJqO/JATPg/PPDyiVBN/5\nThYQjB27BT+6EiIsBK2t3Z/3iMMDTKGEjsJ4aFjiKxeRySEEqHJA1NEBRmIc8PLZ2MbFvg6d+NLF\nr6u/QQKotz63a9Q1ahb1daigvhYWXddh4UKHOXMGL8BO8OqrkmuuyfGxj+V58EF3m/JnG217IjE8\nHU6vrurnSjBv3rweb1MxupXpfaJSOTXWjcoBUUfRCs/DABxrfquDEIPVnRkDsiGHm8ng5XO4TQ3I\nrB2UUEGALgcVu43B+s9VTbaKLmSy9sXG/1MKE9mWbG+PP2/Bgtiaw63cN6nKGW1fYzxVWk0l05ae\n0pttVtvXMEVv2HFHw2c+U+Khh9q5++52pk/f/Mn96j0xYcIjNW3Vs88uc+Dfddr2sOtBaEmdKofI\neE10FKGCiKhYIOwoEGzsQAcROggBYcPdXQfH9wZMZusVtTrqqOM9jaVLJRdc0IiU8MQTbYPWLW7a\nBJ//fAPPPGOJ3r33+lx7bZGrriqNCpue4URvlZ8tQrVY38SXh6m9mrb10iv6fh1JwoAJVUpUiCKM\njO8babTRiGzW2jo41oMMrXAbMqDt63GlQIWKsK2DKAxxfZ/Qc8g0NVpvsmSKdgD+c7YV7XSrZNW8\nNmErU4kVSeqvVvX4qcYtzgY1YYTBWK2VI+KpUhO7n4h0PfAqNGJzvfNqXo/jkLYtBxFZlc3CwQdv\neeU+rSAa2GevkPvubeNvrzvsMEFx8AElxubLIDwEIUbY99LJZjAqsmslBFEYostl2+6M96/l0wKn\nIYOb8UEKO5gxAEK71UPZtwZGMpS9jjrq2Lbwu9/5fOITllE9/vgm3ve+wbVCV6wQHHpoC0FQU1vg\nwQfbOeSQ0dnyHQpUB4JvjmdXr49brVEa4sfu8fmSScIBkAId2vQFm0CgMBhrbuu4hMUiqr2IlgYv\nk0MFZZxcDqG0nc7MZXA8B1zX6tWUptzWiYkUUkpkxsNrytvpWVk1NOD2PmSQvoYaXVfFlyshX2k1\nUKk4w9NJb5sQkyQoXsUtUxGvicx6SCGt1g6sCawjU9NXp0oIX2OlMYDw99GM6jB6FesLpevaNAhl\n7TmMMvb98lzcXAatNaqzSHHdBqJSgJQCJ5O1VVUpcD0XtzGPm/GQvpcSXoDnX3px9ISy17Fto6MD\nlixxePVVh9dekyxe7FAqWYH+SSeFvO99iunTt+9g8zq2H7S2ws03Vzbr5qRSjB1rOPHEkPvvr04O\nFyxa5GzfRK2qEmW0sc7tQ1BZs+21JDVg+IcVBqWlioXficGsFOC4LjoIkVKgXQepNapUwsl6cdKj\nwXQWKbR34LoewnfwGnJobRBIBDpxY7OTn06tRm4ga9pbJUvE/mzp4zkOUsp0qCAZTFBBmOrOdGQd\n+R3ftyRPG3TV+2FEPCwB3WwlarzzHKffilpKhoDH52b56U8zHHNMxBlnBOy22yioISXpCwhUpIEI\nx/OQnsZoD1UspxOdSGmzXRF4jU3glpCADiKkI5BC4rguRArj27ayrlr3vlDXqG3HGGrtydtvSz7x\niTwnntjEZz6T5+abc/zlLz6PP+4zZ47PF76Q59RTm3jiidHF/0ebBmckUV8Li2Qd1q6VNdmum+M0\nkM/DF79YIputPbE0N4+CE80AsNl7ourcUp1zORRNmiSvcmtWZAaU9SllSh5lQqiMwcikjaiIymV0\nYA1WVWQ9vpTSqEIxzniMCNs7EVLi5jxkxsXNeLiNDakxcOo/1wtJTSpj6RTnIPhx8vjW1qOiu1OB\nrRoJbZj/1JOVdikmbqMqdKiqopKcbsdX/dhJla6vPZFUrJa+6XHxxY38+c8+3/hGA9dck2flypGf\nypk3b15Kgt2cbz33Mh5uLgdGx3YmdthEhxEogxC2wpZtakDmsnjjmvGaGpHSsa1Oo9MYM6M1Wuna\n9nsPqBO1OgaM116TzJnj09e3wrhxhh13fG9aX9Sx7cEGNFf2c2Pj5j3OwQcr7ruvnZNOCpgwQfPx\nj5c48MDtN4oMSKN+jNaV6s0w+WqNFLoSjDQiSsaifSFRSmOiyJIYjHX1F8J6tEnHar1UiDa2MmME\nKG0AjZPN4Lc04zU2VCKh+qkgJtYYid5Mx+73xmhMko01CLJsK0YV81qZ9XGyvjUEzniIWHdF1aRi\nMhVpjElbx8laGWOs7qqrzrDHJ7f/27BR1FSzH37Y44knNn+4ZyiQ2NAQR6cKx0G6Lk78/tRElMWv\nUUiB41q/O5nN4OdzeJmMbRdnfaTr2H3hefaHTRjZNAvT9zmzrlGrY8DYtAkWLPC44w77ISoWbUzQ\njjsapkxRnHdewLRpij32qBO1OrYN3HuvyyWXNAE2Wuzpp9u2KGqtWIS2NsH48YZtWJ4zKFRr1YBR\nrU0yVa7wvXmJJUj1Vj0Y+iaasKhYspWoMEIFIeVCJ6ajiMjn8GJ7DoXC87OoQhGZz+K4Po7v4uRz\ntg0G9nI2O7A2Z7WlSBwplZA7Y3RlEGEA74OOIpukgMFoY4mG56XEJCFjuhwHjwuQvpe2aI3SMVlT\nse7NVpQSb7rk+Xuz2EjW+I03XY46ekyNZ9nRR4fccUcHvt/tblsV1e3ZahuUqFxGdRYBYYm76+B4\nnm33uk6q+dOxHhFXxiRPIDwXVSyhiqU0DeLVt96oa9Tq2HK0tMCpp4acckrI2rUi8T6kocEMLJqj\njjpGGTZtqpw89t5bM3bslv3IyOUgl9vufvv2iWoT1q2hKdsSJPYRxH5jTi8sIHk9aXUwOVOmgfMi\njVFCCLQ2aKUQwkFmMqhymVAriOyUJJksTlMjru8gXBfHc9PUAjsxaIiKRRzfT8lANVGsIVxSgomf\nOxb020Mzti2ZLP8AtqFNOzCglPV/00Ae3GrSqHUcuWUreALiWCmdrqk9zri6JmN9WlyhS6uPPUC6\nLkZrJk3SXHRRwG23VfSi77wj6eiAceP6fx3DiSR7NEFClI2KX68RCBETM89NI8mUUukeMQaEMhjX\npj8Qt62NBpTC9KOTrLc+t2MMlx5JSthpJ8PEiYaddx79JK2uy6qgvhYWyTqsXFn5Cpw5M2TMmJE6\nopHDUOwJ6bq23dNXHNMII83tTLI7I42uatPWrEMsqrcZl8ZO/SX30yauGGl0FMb6rQhdtEanYXsH\nSkXoQhkVhYRBmbC9gOt7OLmcrbqouD2YJAoobUmWSSqUVUHdXdrJFR2YRHiV9RZxdFHlhv2viW1X\nx/oqYhKhDHMfe6xmLSBu/SVEpKoa2dv7PVCdoZCSXIPkc58rsd9+FbnA6aeP/Oex1/xXk6QyuAjP\ntUTMcRDSsfslCDHKoENFVAowUYgqJhU4wJE4SXyZ4yDdvn/c1CtqdQwbymV4+GGXefM8Lr20xN57\nv7cqDXWMfowZU6mgnXTS5oV+12ExWglaAnt8Vd9BwnpYaW26kZpEc2dM4jkm0wlGHUUViwsDUWeB\nqFAmKHSigwC0wRQVyoCT9XAcD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/vtXmr2uDWxerXgC19o4KSTmrnooibOO6+J445r5rTT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oLKK10+rillVFqMwYWq4+D1HD70fqEQ011WG3gpYoPlnMWLCyTiHx2JA7QTVyfjRnLeStWR9H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D4JlnEby46V/bfvDyilwG88Gepob4cPPrBYuFDS3CwYPVozaZLHlluqYso0PcI6WaNWRRU9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nnxy46qrtN7OVh8+y7IgbGcbIzMxK8uUpInRkB0Kbtnq1MDkpzM4q3va2DrffbviTPxmw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\n9NBDPProo+R5zpe//GXOOOOMF/q0atSoUaNGjRo1nnfsd6VPay2f+tS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} ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks pretty good, though it took a long time for the system to (sort of) converge. Our optimization step would look something like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "_halo_data = halo_data[n_sky-1]\n", "print traces.shape\n", "\n", "mean_posterior = traces.mean(axis=0).reshape( 1,4 )\n", "print mean_posterior\n", "\n", "\n", "nhalo_all = _halo_data[0].reshape(1,1)\n", "x_true_all = _halo_data[3].reshape(1,1)\n", "y_true_all = _halo_data[4].reshape(1,1)\n", "x_ref_all = _halo_data[1].reshape(1,1)\n", "y_ref_all = _halo_data[2].reshape(1,1)\n", "sky_prediction = mean_posterior\n", "\n", "\n", "print \"Using the mean:\"\n", "main_score( [1], x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, sky_prediction)\n", "\n", "#what's a bad score?\n", "print\n", "random_guess = np.random.randint( 0, 4200, size=(1,2) )\n", "print \"Using a random location:\", random_guess\n", "main_score( [1], x_true_all, y_true_all, \\\n", " x_ref_all, y_ref_all, random_guess )\n", "print" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(10000L, 2L, 2L)\n", "[[ 48.55499317 1675.79569424 1876.46951857 3265.85341193]]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Using the mean:" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Your average distance in pixels you are away from the true halo is" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 37.3993004245\n", "Your average angular vector is 1.0\n", "Your score for the training data is 1.03739930042\n", "\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Using a random location: [[2930 4138]]\n", "Your average distance in pixels you are away from the true halo is" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 3756.54446887\n", "Your average angular vector is 1.0\n", "Your score for the training data is 4.75654446887\n", "\n" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "1. Antifragile: Things That Gain from Disorder. New York: Random House. 2012. ISBN 978-1-4000-6782-4.\n", "1. [Tim Saliman's solution to the Dark World's Contest](http://www.timsalimans.com/observing-dark-worlds)\n", "2. Silver, Nate. The Signal and the Noise: Why So Many Predictions Fail \u2014 but Some Don't. 1. Penguin Press HC, The, 2012. Print." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "" ], "output_type": "pyout", "prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }