{ "metadata": { "name": "" }, "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 losses*. But what's interesting is *how they measure their losses.*\n", "\n", "For example, consider the following example:\n", "\n", "> A meteorologist is predicting the probability of a possible hurricane striking his city. He estimates, with 95% confidence, that the probability of it *not* striking is between 99% - 100%. He is very happy with his precision and advises the city that a major evacuation is unnecessary. Unfortunately, the hurricane does strike and the city is flooded. \n", "\n", "This stylized example shows the flaw in using a pure accuracy metric to measure outcomes. Using a measure that emphasizes estimation accuracy, while an appealing and *objective* thing to do, misses the point of why you are even performing the statistical inference in the first place: results of inference. The author Nassim Taleb of *The Black Swan* and *Antifragility* stresses the importance of the *payoffs* of decisions, *not the accuracy*. Taleb distills this quite succinctly: \"I would rather be vaguely right than very wrong.\" " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loss Functions\n", "\n", "We introduce what statisticians and decision theorists call *loss functions*. A loss function is a function of the true parameter, and an estimate of that parameter\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = f( \\theta, \\hat{\\theta} )$$\n", "\n", "The important point of loss functions is that it measures how *bad* our current estimate is: the larger the loss, the worse the estimate is according to the loss function. A simple, and very common, example of a loss function is the *squared-error loss*:\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = ( \\theta - \\hat{\\theta} )^2$$\n", "\n", "The squared-error loss function is used in estimators like linear regression, UMVUEs and many areas of machine learning. We can also consider an asymmetric squared-error loss function, something like:\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = \\begin{cases} ( \\theta - \\hat{\\theta} )^2 & \\hat{\\theta} \\lt \\theta \\\\\\\\ c( \\theta - \\hat{\\theta} )^2 & \\hat{\\theta} \\ge \\theta, \\;\\; 0\\lt c \\lt 1 \\end{cases}$$\n", "\n", "\n", "which represents that estimating a value larger than the true estimate is preferable to estimating a value below. A situation where this might be useful is in estimating web traffic for the next month, where an over-estimated outlook is preferred so as to avoid an underallocation of server resources. \n", "\n", "A negative property about the squared-error loss is that it puts a disproportionate emphasis on large outliers. This is because the loss increases quadratically, and not linearly, as the estimate moves away. That is, the penalty of being three units away is much less than being five units away, but the penalty is not much greater than being one unit away, though in both cases the magnitude of difference is the same:\n", "\n", "$$ \\frac{1^2}{3^2} \\lt \\frac{3^2}{5^2}, \\;\\; \\text{although} \\;\\; 3-1 = 5-3 $$\n", "\n", "This loss function imposes that large errors are *very* bad. A more *robust* loss function that increases linearly with the difference is the *absolute-loss*\n", "\n", "$$ L( \\theta, \\hat{\\theta} ) = | \\theta - \\hat{\\theta} | $$\n", "\n", "Other popular loss functions include:\n", "\n", "- $ L( \\theta, \\hat{\\theta} ) = \\mathbb{1}_{ \\hat{\\theta} \\neq \\theta } $ is the zero-one loss often used in machine learning classification algorithms.\n", "- $ L( \\theta, \\hat{\\theta} ) = -\\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 do not consider the *loss associated with the result of that error*. Compound this with the fact that frequentist methods are almost guaranteed to never be absolutely accurate. Bayesian point estimates fix this by planning ahead: your estimate is going to be wrong, you might as well err on the right side of wrong." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Optimizing for the *Showcase* on *The Price is Right*\n", "\n", "Bless you if you are ever chosen as a contestant on the Price is Right, for here we will show you how to optimize your final price on the *Showcase*. For those who forget the rules:\n", "\n", "\n", "1. Two contestants compete in *The Showcase*. \n", "2. Each contestant is shown a unique suite of prizes.\n", "3. After the viewing, the contestants are asked to bid on the price for their unique suite of prizes.\n", "4. If a bid price is over the actual price, the bid's owner is disqualified from winning.\n", "5. If a bid price is under the true price by less than $250, the winner is awarded both prizes.\n", "\n", "The difficulty in the game is balancing your uncertainty in the prices, keeping your bid low enough so as to not bid over, and trying to bid close to the price.\n", "\n", "Suppose we have recorded the *Showcases* from previous *The Price is Right* episodes and have *prior* beliefs about what distribution the true price follows. For simplicity, suppose it follows a Normal:\n", "\n", "\n", "$$\\text{True Price} \\sim \\text{Normal}(\\mu_p, \\sigma_p )$$\n", "\n", "\n", "In a later chapter, we will actually use *real Price is Right Showcase data* to form the historical prior, but this requires some advanced PyMC use so we will not use it here. For now, we will assume $\\mu_p = 35 000$ and $\\sigma_p = 7500$.\n", "\n", "We need a model of how we should be playing the *Showcase*. For each prize in the prize suite, we have an idea of what it might cost, but this guess could differ significantly from the true price. (Couple this with increased pressure being onstage and you can see why some bids are so wildly off). Let's suppose your beliefs about the prices of prizes also follow Normal distributions:\n", "\n", "$$ \\text{Prize}_i \\sim \\text{Normal}(\\mu_i, \\sigma_i ),\\;\\; i=1,2$$\n", "\n", "This is really why Bayesian analysis is great: we can specify what we think a fair price is through the $\\mu_i$ parameter, and express uncertainty of our guess in the $\\sigma_i$ parameter. \n", "\n", "We'll assume two prizes per suite for brevity, but this can be extended to any number. \n", "The true price of the prize suite is then given by $\\text{Prize}_1 + \\text{Prize}_2 + \\epsilon$, \n", "where $\\epsilon$ is some error term.\n", "\n", "We are interested in the updated $\\text{True Price}$ given we have observed both prizes and have belief distributions about them. We can perform this using PyMC. \n", "\n", "Lets make some values concrete. Suppose there are two prizes in the observed prize suite: \n", "\n", "1. A trip to wonderful Toronto, Canada! \n", "2. A lovely new snowblower!\n", "\n", "We have some guesses about the true prices of these objects, but we are also pretty uncertain about them. I can express this uncertainty through the parameters of the Normals:\n", "\n", "\n", "\\begin{align}\n", "& \\text{snowblower} \\sim \\text{Normal}(3 000, 500 )\\\\\\\\\n", "& \\text{Toronto} \\sim \\text{Normal}(12 000, 3000 )\\\\\\\\\n", "\\end{align}\n", "\n", "For example, I believe that the true price of the trip to Toronto is 12 000 dollars, and that there is a 68.2% chance the price falls 1 standard deviation away from this, i.e. my confidence is that there is a 68.2% chance the trip is in [9 000, 15 000].\n", "\n", "We can create some PyMC code to perform inference on the true price of the suite." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import scipy.stats as stats\n", "from IPython.core.pylabtools import figsize\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "figsize(12.5, 9)\n", "\n", "norm_pdf = stats.norm.pdf\n", "\n", "plt.subplot(311)\n", "x = np.linspace(0, 60000, 200)\n", "sp1 = plt.fill_between(x, 0, norm_pdf(x, 35000, 7500),\n", " color=\"#348ABD\", lw=3, alpha=0.6,\n", " label=\"historical total prices\")\n", "p1 = plt.Rectangle((0, 0), 1, 1, fc=sp1.get_facecolor()[0])\n", "plt.legend([p1], [sp1.get_label()])\n", "\n", "plt.subplot(312)\n", "x = np.linspace(0, 10000, 200)\n", "sp2 = plt.fill_between(x, 0, norm_pdf(x, 3000, 500),\n", " color=\"#A60628\", lw=3, alpha=0.6,\n", " label=\"snowblower price guess\")\n", "\n", "p2 = plt.Rectangle((0, 0), 1, 1, fc=sp2.get_facecolor()[0])\n", "plt.legend([p2], [sp2.get_label()])\n", "\n", "plt.subplot(313)\n", "x = np.linspace(0, 25000, 200)\n", "sp3 = plt.fill_between(x, 0, norm_pdf(x, 12000, 3000),\n", " color=\"#7A68A6\", lw=3, alpha=0.6,\n", " label=\"Trip price guess\")\n", "plt.autoscale(tight=True)\n", "p3 = plt.Rectangle((0, 0), 1, 1, fc=sp3.get_facecolor()[0])\n", "plt.legend([p3], [sp3.get_label()]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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I5557jqqqqmE917e+9S3efPNNNm7cSDQaxe12s2/fPgD8fj9ZWVlYLBY++OAD/vSnPw17\n1Z1JkyZx+PDhePnqq6/mtdde4+233yYSibBmzRpsNhtz5sw57vF+vx+r1UpWVhZ+v5+f/exnw3re\nI7q7u3n88ceJRCJs3LiR+vp65s+fH79/qE7F9ddfz5o1a/jwww/RdZ3Gxkba2to477zzSEtL45FH\nHiEYDKJpGnV1dfFRmA0bNtDT0wNARkYGiqIck4I0Fk46MlBbW8udd96JpmncdNNNrFq16phjbr/9\ndl555RVSUlJ4+umnOeecc4as63a7+fa3v01zczMOh4MNGzaQlZUFwEMPPcQf/vAHjEYjjzzySHz4\n5LLLLqOzszPee3rttdfIy8sbmXdBJCy5SpVcJJ7JZSzj2TkQZle7j/qeADFdJ6hquIODK/9ouo5R\nUUi3Gkm3mkizDP7IPx0URcFuNmI3G8lJMaPrOmFNZyAcZSCk4fKpuHwqNpOBbJsZNRqjoTdAusXI\nrDPSOLsgbczSiCbq5zPDZuS6s/NPfuAXePzP65/3HTjyb1VV+elPf8rBgwcxm83MnTuXhx9+GICr\nrrqKDRs2cOaZZ+JwOHjjjTf43e9+x7//+78zc+ZMsrKyuOeee+ITcY+3t8FnbysuLmbDhg3cf//9\n3HHHHWRkZHDfffdx9tln8z//8z/cf//93H333XzlK1/hmmuuwev1HtPe4/nhD3/IqlWreOCBB7jr\nrrv4/ve/z2OPPcaqVavo6OjgS1/6Es8//zwmk+m4x99www288cYbnHXWWeTk5HDvvffy9NNPH/M6\nTuS8886jsbGR8vJyCgoKWLt2bfy36MnqXnXVVfT19XHzzTfT0dFBaWkpjz32GMXFxaxbt47777+f\nc889l3A4THl5OT/5yU8AeOONN7j//vsJBoOUlJTw+9//HqvVesLnOV0UfYiuj6ZpzJgxg9dff52i\noiIuuOAC1q1bR2VlZfyYmpoa1qxZQ01NDdu3b+eOO+5g27ZtQ9a9++67ycvL4+6772b16tX09fVR\nXV1NXV0dy5Yt47333sPpdPLVr36V+vp6FEXh8ssv53//938599xzT/hitmzZMuT9Qgghxq+YrnOo\nN8gu5wDtA2FiMR33J6sChaIxDCifbPBkIs1qTMhJuxEtRn9YwxOMEohoKAx2WnJSzKR/0mmZnpfC\necUZ5KaMn7Xpx5P29vYhc+RF8nv++ef54x//SE1NzVg35bhO9De6c+dO5s2bN+LPN+TYxI4dOygr\nK8PhcGA2m1myZAmbNm066pjNmzezfPlyAObOnYvH46Gzs3PIup+ts3z5cjZu3AjApk2bWLp0KWaz\nGYfDQVlZ2VG77SXr2s7ixGTd6+Qi8UwupyueMV1nf5efP+7s5G8HemjqC9LeH+ZAd4COgTAGRaEo\nw0pFfgolWTYybKaE7AgAmI0GclPMnJlrZ3peCnmpJgIRjaa+IAd7ArgGVPZ1+vjjzg7+ur8H14B6\n2tomn08hJqYh04ScTiclJSXxcnFx8TFbYR/vGKfTSXt7+wnrulyu+LJZBQUFuFwuYLAndOGFFx5V\np729PV5evnw5ZrOZ6667LmE2ahBCCDE6YrrOga4A21u9eENRQpEYXX6V/pAG6GTaTOSlmhNqEu6p\nsJoMFKZbyU+z0B+K0huI0j4QpsunkptqJhrTaegNMDXbzsWOTCalWsa6yUIkheOlRk1kQ3YGhvtG\nDeeKva7rx3284QbkueeeY/Lkyfh8Pq677jqeffZZrr/++mOOW7lyJaWlpQBkZmYya9aseB7kkase\nUh5f5SMSpT1SlnhKeXTjqes6L77yBh91+siefg5BNcae998lENEoqDiPvFQzvsbdaAYF+6wLAGja\nO7h6h2Mclg2KgqdhN0bgzBnn0u2PsO+DbRgUhYpz5qLFdN58+22Ks+x89+r5ZNvN4yqeiVgWE9vS\npUtZunTpWDfjhLxeb3y1oq1bt9LS0gIMbh43GoacM7Bt2zYeeOABamtrgcHJvQaD4ahJxLfccguX\nXXYZS5YsAaCiooK33nqLw4cPn7BuRUUFb775JoWFhXR0dHD55Zdz4MABqqurAbjnnnuAwc02Hnzw\nQebOnXtUu9auXcv7778f3476CJkzIIQQ41uXT+Wtxj6c/WHC0Rgun4o3FMWoKOSlmslNMWM0JP8V\nvWBEo9sfib/2SakWclNMmIwGZp+RxtzSTGymsV+FZDySOQMi0SXUnIHzzz+f+vp6mpqaUFWV9evX\ns3jx4qOOWbx4Mc888www2HnIysqioKBgyLqLFy9m7dq1wOAP+yMbVCxevJgXXngBVVU5fPgw9fX1\nzJkzB03T4ksxRSIR/vKXvzBr1qyRfSdEQpIc1uQi8UwuIxnPgKrxer2bdbs7ae4L0e4NU98TZCCs\nkZ9qYcakFPLTLBOiIwBgNxspzbJRnmsn1WKk0xfmYE+AHr/KLucAa99vZ0+Hj9gIzqWTz6cQE9OQ\naUImk4k1a9awcOFCNE3jxhtvpLKykscffxyAFStWcOWVV1JTU0NZWRmpqak89dRTQ9aFwSv/VVVV\nPPnkk/GlRWFwK+uqqipmzpyJyWTi0UcfRVEUQqEQixYtIhKJoGka8+fP53vf+95ovi9CCCFOg5iu\ns6fDx7vNXkLRGL3+CF3+I/sCmJmUasZsnLhXwG1mI1OyjfhVDdeAirM/jDsQ5YwMC28ccrOv08cV\nZdkUpo/98oTjhdFoJBAIkJKSMtZNEeIYgUAAo/H0zoMaMk1ovJE0ISGEGD+6fCpbGty4fCq+sEZ7\nf5iwFiPdauSMdCtWSYM5iq7r9Ic1OvrDRGKDE6jPSLdiMSp86Yw0Lp6SJe/ZMOi6TldXF5qmjXVT\nhDiG0WgkPz//uPNpRytNaMiRASGEEGKkRbQY77Z42e30oWox2gfCeENRrEYDjmwb6Vb5ajoeRVHI\ntJlItxrp8Ufo/qQTlZ9mYXe7j4aeIFeUZXNmrlzxHoqiKPEVDYUQJ5kzIMRYkxzW5CLxTC6fJ55O\nb5jndnWys22AnoDKwZ4AA6EoBWkWyvLs0hEYBoOikJ9moTwvhRSzgY6BMId6g/QEIvxlfw+vHOgh\nGDn1q97y+Uw+ElMxHHLWFUIIMeoiWox/NHvZ3T5AOKrT1h/Cr2qkWowUZUhK0OdhMRmYkm2Lpw4d\n6g0yKdWMrkOrN8zlZ2ZTniejBEKIocmcASGEEKPKNaDy94O9uAMRegMROgdUFAUK0y1k202y+c8I\n0GI6HQNh+oJRbCYDxRk27BYDM/NTuWxaNhbpbAkx7smcASGEEONKTNf5oG2Ad1u8hKMx2rwhfKpG\nusVIUaZ1Qq8SNNKMBoXiTBuZtihOb5hD7iD5aYOjBE5vmAXTcyjKtI11M4UQCUjOxCKhSb5jcpF4\nJpeh4jkQjvLy3i7eafbQF4hQ3xMgEIlRlGFlSrZNOgKjJN1qojwvhUybEZdPpdEdpMuv8tLeLt5t\n9g65L4F8PpOPxFQMh4wMCCGEGFGNvUFere8loGq096v0hSKkmI0UZ8rcgNPBaFAoybKRHozS3h+m\noSfI5AwL21u9tHlDLJqRKxO1hRBxMmdACCHEiNBiOu80edjZPkAwEqPVE0LVYkxKtZCfZpa5AWMg\nosVo9YbxqxpZNjNFGRZSLEYWlOcyLdc+1s0TQpwCmTMghBAiYfWHotR83EPngEqPf3CSsMkAU3Ps\npFpO726a4lNmo4Gp2Ta6/RG6fCrBiEZJpo3N+7s5vziDi6dkYpBOmhATmozXioQm+Y7JReKZXI7E\ns6kvyLrdnbR7w7T0hegYCJNmNVKWlyIdgQSgfLIvwdQcOzFdp9EdxB2I8H5bPy/v7cKvDu5JIJ/P\n5CMxFcMhIwNCCCE+F13X2d7iZVuLl2AkRssnaUFnpFvITZG0oESTahnsoLV5Qjj7w/jVGLGYzvO7\nOrmyInesmyeEGCPSGRAJ7ZJLLhnrJogRJPFMHuFojL7cChpbvHiCg8tZGiUtKOGZDApTPkkbcvlU\nQlGN0iwbf9rXzaXTZqPrunTikoicc8VwSGdACCHEKXEHIvx1fw+9gQgdA2F6AxFSLUZKZO+AceFI\n2lCK2UCrZ3Dn4pJMG//X2IfLp3JFWQ4mg3QIhJgo5KwtEprkOyYXief419gb5IUPXXT5VN79xzv0\nBiLkpZiZKnsHjDtpVhNn5tmxGBWaPUF27XiXOpefF/e48IWjY908MQLknCuGQ87cQgghTkrXdd5r\n7ecv+7vxBqM09AZQozFKMm2ckWGV1JJxymI0MC3XTpbNRF8wQrMnREd/mHW7XXQOhMe6eUKI0+Ck\nnYHa2loqKiooLy9n9erVxz3m9ttvp7y8nNmzZ7Nr166T1nW73cyfP5/p06ezYMECPB5P/L6HHnqI\n8vJyKioqePXVV495rsWLFzNr1qxTepFi/JJ8x+Qi8RyfojGdvx90D+4mHIzS6A6iKApzL76YLLtk\nm453BkWhKNPK7PMvYiAc5ZA7SF8wykt7u9jf5R/r5okvQM65YjiG7AxomsZtt91GbW0tdXV1rFu3\njv379x91TE1NDQ0NDdTX1/PEE09w6623nrRudXU18+fP5+DBg8ybN4/q6moA6urqWL9+PXV1ddTW\n1rJy5UpisVj8uV5++WXS09PlCpQQQpwmflXjpb0uDnT56RxQafWGsJsNnJlrx26WicLJQlEUclPN\nOLLtRDSdQ70BvMEofz/Yy9YmD0m0P6kQ4p8M2RnYsWMHZWVlOBwOzGYzS5YsYdOmTUcds3nzZpYv\nXw7A3Llz8Xg8dHZ2Dln3s3WWL1/Oxo0bAdi0aRNLly7FbDbjcDgoKytjx44dAPh8Ph5++GHuu+8+\nOSlNIJLvmFwknuNLt1/lhQ9dtHvDNHtCdPtVcuxmHDk2TAaFpr3vjXUTxQhq2vseaVYjZ+baMRkV\nDveF4vsR/O1ALxEtdvIHEQlFzrliOIbsDDidTkpKSuLl4uJinE7nsI5pb28/YV2Xy0VBQQEABQUF\nuFwuANrb2ykuLj6qTnt7OwD3338/d911FykpKZ/rhQohhBi+xt4gL+7pwh2I0OgOMRCOMjndyuQM\ni+xYm+SsJgPTcuykWQ04+8N09Idp6Anw0mc2KBNCJI8hOwPDTccZzpX6E61drCjKkM+j6zq7d++m\nsbGRq666SkYFJhjJd0wuEs/xYVf7AH/d34M3GOVQbwBVizEl20Zu6tEbiTlmXTCGrRQj7bPxNBoU\npmTZyEsx0xP4dGLxC7s76farY9hKcSrknCuGY8iZX0VFRbS2tsbLra2tR125P94xbW1tFBcXE4lE\njrm9qKgIGBwN6OzspLCwkI6ODvLz84d8rG3btvH+++8zdepUotEoXV1dXHHFFbzxxhvHtHnlypWU\nlpYCkJmZyaxZs+IfhiPDZVKWspSlLOVjyzFdJzb5bHZ3DPDRB9vo9kU4Y+Z5TMu20XngA3r59Afj\nkRQhKSd/2Woy8OF779JmNDLnoot5cU8X+Z6PKUy3JtTfr5SlnGzlI/9uaWkB4KabbmI0KPoQl9qj\n0SgzZsxgy5YtTJ48mTlz5rBu3ToqKyvjx9TU1LBmzRpqamrYtm0bd955J9u2bRuy7t13301ubi6r\nVq2iuroaj8dDdXU1dXV1LFu2jB07duB0OvnqV79KQ0PDUVeimpub+cY3vsHevXuPae+WLVs499xz\nR/gtEmNp69at8Q+HGP8knolL1WLUftxLoztIjy9Cp0/FbjYwJcuGyXj80dumve/J6EASGSqevnCU\nFk8YgwJTsu2kmo1cXpbNrMK009xKcSrknJtcdu7cybx580b8cU1D3mkysWbNGhYuXIimadx4441U\nVlby+OOPA7BixQquvPJKampqKCsrIzU1laeeemrIugD33HMPVVVVPPnkkzgcDjZs2ADAzJkzqaqq\nYubMmZhMJh599NFjUohkq3QhhBhZflVjc103nQNqfEfhTJuJ4kyrzA8QwOAGZdNyDDT1BTnsHtyx\neEuDG28oylemZMr3shDj2JAjA+ONjAwIIcSp6QtE2PhRN33BCK3eMP3hKHkpZgrTLfIDTxwjosVo\n7gsRiupMzrCQk2JmxqRUFpTnYDTI34sQo2lMRgaEEEIkr/b+MJvruvGFNZr6QoSiGpMzrOSmmMe6\naSJBmY1T4xpTAAAgAElEQVQGpubYafWGcfaHUTUd9MHRpW9U5mEznXQvUyFEgpFPrUhon51EI8Y/\niWfiqO8J8PK+LryhwR1nw9EYpVm2U+oIyD4DyWW48RxcachKjt1Mt1+l1Rum1RPixT0uBsLRUW6l\nOBVyzhXDISMDQggxwexuH+Ctxj78qkZzXwgUmJpjI8UiOwqL4VEUhckZFixGhU6fSjQWQ9d1Nnzo\n4uqz8slNldElIcYLmTMghBAThK7rvNPs5f22fvpDUVo9YcxGhSnZNqyS3iE+J08wQps3jM1kxJFt\nI9VqZHFlHkWZtrFumhBJZbTmDMjZXwghJgAtpvNavZv32/pxByK0eMLYzAam5dqlIyC+kCy7GUe2\nDVWLcag3SH8oyp8/6qa+JzDWTRNCDIN8A4iEJvmOyUXiOTZULcbmum7quvy4BlSc/WHSrINXcU1f\nYAUYmTOQXL5IPNOsJqbm2NDR4x2CmgM97OkYGMEWilMl51wxHNIZEEKIJBZQNf60t4umvhBOb5gu\nv0qO3cyULKssBSlGlN1sZFquHZNB4bA7hDcU5Y1Dfbzb7CWJMpKFSDoyZ0AIIZKUNxRl40fdn6QF\nhegPR8lPtZCfZpY9BMSoicZ0mvtCBCOx+F4EZxekcUVZtmxiJ8QXIPsMCCGEGLZuv8rGfd30h6M0\n94XwR2QPAXF6mAwKjmwbrZ4Qzv4w0ZjOPnwEIhpXVuR9odQ0IcTIkzQhkdAk3zG5SDxPD6c3xEt7\nuvCEojS6gwQi2invITAcMmcguYxkPI2GwVWqsm0mXD6V9v4wjb1BXt7XRSgaG7HnEUOTc64YDhkZ\nEEKIJHKoN8ArH/fiVzUOu0PEdB1Hjp002UNAnGaKolCUacVkVOj2R4jGdHTgpT0urj5rEmlW+Qki\nRCKQOQNCCJEk9nX6eKOhD58apakvhEGBKdk27GbpCIix1eNX6RhQSbMYmZJlI9Nu5tqzJpEtaWtC\nDJvsMyCEEOK4dF1nR6uX1xvceENRDrtDmAwK03Ls0hEQCSEv1UJJphW/qtHoDtEXiLBhj4vOgfBY\nN02ICU86AyKhSb5jcpF4jjxd13mr0cM/mr14glGaPSGspsGOgGWUNxOTOQPJZbTjmWU3MyXbRjga\no9EdxBvS+NPebpr7gqP6vBOZnHPFcEhnQAghxiktplP7cS+7Owbo8UVo84ZItRiYmmPHZJQVW0Ti\nSf9kc7JoTKfRHaA/HGVTXQ8fd/vHumlCTFgyZ0AIIcYhNRrjbwd6aO4L0Tmg0h1QybSZKM60ylru\nIuGFojGa3EFi+uC8llSLkUunZXPO5PSxbpoQCWvM5gzU1tZSUVFBeXk5q1evPu4xt99+O+Xl5cye\nPZtdu3adtK7b7Wb+/PlMnz6dBQsW4PF44vc99NBDlJeXU1FRwauvvhq/fdGiRXz5y1/mrLPO4sYb\nbyQSiXyuFyyEEONdQNX4077BXYXbvGG6Ayq5KWZKpCMgxgmbycCZuXbMRoUmd4j+UJS3Gvv4R7NH\ndisW4jQbsjOgaRq33XYbtbW11NXVsW7dOvbv33/UMTU1NTQ0NFBfX88TTzzBrbfeetK61dXVzJ8/\nn4MHDzJv3jyqq6sBqKurY/369dTV1VFbW8vKlSvjJ4WXXnqJ3bt389FHH+H1elm/fv2Ivxki8Ui+\nY3KReH5x/aEoL+7tonNApcUToi8UoSDNwhnpltO+q7DMGUgupzueZuNgSpvNbKDFE8YdiLCjtZ8t\nDX3EpEMwIuScK4ZjyM7Ajh07KCsrw+FwYDabWbJkCZs2bTrqmM2bN7N8+XIA5s6di8fjobOzc8i6\nn62zfPlyNm7cCMCmTZtYunQpZrMZh8NBWVkZ27dvByAtLQ2ASCSCqqrk5eWN4NsghBCJr8evsmGP\nix6/ymF3kIFwlKIMK/lpp78jIMRIMBkUpubYSLMacPaH6fKp7HP5+Nv+HqIx6RAIcToM2RlwOp2U\nlJTEy8XFxTidzmEd097efsK6LpeLgoICAAoKCnC5XAC0t7dTXFx8wudbuHAhBQUF2O12Fi1adMov\nVow/l1xyyVg3QYwgiefn5/SGeHFPF33BT3cVLsmykTOG67Q7Zl0wZs8tRt5YxdOgKEzJOnq34kOy\nW/GIkHOuGI4ht/8b7pWm4eT36bp+3MdTFGXI5/nsfX//+98Jh8N8+9vfZu3atfHRhc9auXIlpaWl\nAGRmZjJr1qz4h+HIcJmUpSxlKY+nckNPgN++VEsoGkObfDYxXcfY/hF93QYyP/kBdyTFwyFlKY/D\ncvO+99F1yHN8iZ5AhNaP3ic/1YIavZirz5rE7ve2AYnxeZSylE9X+ci/W1paALjpppsYDUOuJrRt\n2zYeeOABamtrgcHJvQaDgVWrVsWPueWWW7jssstYsmQJABUVFbz11lscPnz4hHUrKip48803KSws\npKOjg8svv5wDBw7E5w7cc889wOCk4QcffJC5c+ce1a5nn32W7du3s2bNmqNul9WEks/WrVvlykYS\nkXieuj0dPt48NLircHNfCCWBdhVu2vuejA4kkUSJZ7dfpfOfdiu++qxJ5MpuxadMzrnJZUxWEzr/\n/POpr6+nqakJVVVZv349ixcvPuqYxYsX88wzzwCDnYesrCwKCgqGrLt48WLWrl0LwNq1a7n66qvj\nt7/wwguoqsrhw4epr69nzpw5+P1+Ojo6AIhGo/z1r3/lnHPOGdl3QgghEoiu67zb7OWNQ5/uKmyU\nXYXFBDDpOLsVv7jHRUe/7FYsxGgYMk3IZDKxZs0aFi5ciKZp3HjjjVRWVvL4448DsGLFCq688kpq\namooKysjNTWVp556asi6MHjlv6qqiieffBKHw8GGDRsAmDlzJlVVVcycOROTycSjjz6Koij4/X6u\nuuoqwuEwuq6zcOFCvvvd747m+yIShFzRSC4Sz+GJ6TpvNPSxz+WjLxDB2a9iMxtwZNkSajOxRLiK\nLEZOIsUzy27GaFBo8YQ55A7iyLbx8r4uvjYjj2m59rFu3rgh51wxHLLpmBBCJJCIFuOVj3tpdAfp\n8qm4fCrpFiMlWTaMhsTpCAhxOgRUjea+ECjgyLKTajFyRVk2ZxemjXXThDjtxmzTMSHGkqyRnFwk\nnkMLRjT+vK+bxt4g7f1hXD6VLJuJ0uzE7AjIPgPJJRHjmWIxMi3XjkFRaHQH8YajvN7gZnuLVzYn\nGwY554rhkM6AEEIkgP5QlBf3dOHsD9PiCdEbiJCXYqZYdhUWE5zVZGBajg2rSaG5L0RfIMq7LV7Z\nnEyIESJpQkIIMca6fCqbPuqmPzy4YpA/onFGupW8VFk9RYgjtJhOiyeET9UoSLOQn2Zharadr1Xk\nYjHKtU2R/CRNSAghktBhd5AX93ThCUY51Du4mVhplk06AkL8E6NBYUq2jawjm5N5wzS6g/xpbxd+\nVRvr5gkxbklnQCQ0yXdMLhLPo33U6eMvdT30h6MccgeIxnQcOXYybUMu9JYwEjHHXHx+4yGeBkWh\nONPKpFQLvcEILZ4QHf1hNuxx0ReIjHXzEo6cc8VwSGdACCFOsyN7CLzW4MYbjnLYHQRgWq6dNIvs\nISDEUBRFoTDdQlGGlYFwlMN9IXr9EdbvceH0yl4EQpwqmTMghBCnkRbTea3ezYFu/6d7CJgG0x/M\nkvcsxCnpD0Vp9YQxGRUc2TZSLUYWlOcyfVLKWDdNiBEncwaEEGKcC0Vj/HlfFwe6/HQOqLT1h0mz\nGJiaY5eOgBCfQ4bNxNQcGzFd51BvEG8oSs3HPbzf1i9LjwoxTPLtIxKa5Dsml4kcT08wwoYPXbR6\nw7R6w3T7VXLsZqYk6B4CwzEecszF8I3XeKZYjJyZY8dkUGhyh/AGo2xt8rCloQ8tNrE7BBP5nCuG\nb3zMUhNCiHHM6Q3z1/3d+D7ZTdUf0ShMs5CXakaRPQSE+MIsJgNn5tpp7gvR6g0R1izsw0d/OMqV\nFXnYTHLtU4gTkTkDQggxig50+Xmt3k0gMtgRiGgxijJtZNnlWowQIy2m6zi9YTyhKNk2M0WZVnJT\nzFx11qRxs0qXECcyWnMG5JMhhBCjQNd1trX0s73Vi/+TEQFFgak5dlJkxSAhRsWRpUetJgMun4qq\nxYjpOi/s7uQblXkUZdrGuolCJBwZNxMJTfIdk8tEiWdEi1HzcS/bW730BSIcdocwGxXOTLKOwHjN\nMRfHlyzxVBSF/DQLJZk2ghGNQ71BPKEof9rXzUcu31g377SaKOdc8cXIyIAQQowgXzjKX/b34BpQ\n6RgI0xOIkGYxUpo1ficKCzEeZdlNWIx2mj0hDvUGKc2y8Vq9G3cgylccmRhkvo4QgMwZEEKIEdMx\nEOavdT0MhKO0eMIMqFFyU8yckW6RicJCjBFVi9HcFyIc1ZmcYSEnxczUbDuLZuRilYnFYhyROQNC\nCJHA6lx+tjS4CUZiNHuChKMxijKs5KSYx7ppQkxoFqOBaTl22rxhnP1hgpEYug7rP3Txzco8suUz\nKia4YXWJa2trqaiooLy8nNWrVx/3mNtvv53y8nJmz57Nrl27TlrX7XYzf/58pk+fzoIFC/B4PPH7\nHnroIcrLy6moqODVV18FIBgM8vWvf53KykrOPvts7r333s/1gsX4IvmOySUZ4xnTdd5q7OPV+l68\noSgNvQEimo4j2570HYFkyTEXg5I5nkaDQmmWlUmpFtzBCIfdQbr9Ki986KKpLzjWzRs1yXjOFSPv\npJ0BTdO47bbbqK2tpa6ujnXr1rF///6jjqmpqaGhoYH6+nqeeOIJbr311pPWra6uZv78+Rw8eJB5\n8+ZRXV0NQF1dHevXr6euro7a2lpWrlwZ30Xw7rvvZv/+/ezatYt33nmH2traEX0zhBDiVAQjGn/e\n182u9gF6/BGa+gYnCpfl2kmzJs9EYSGSgaIoFKZ/OrG4oWdwx+JNH3XzXqvsWCwmrpN2Bnbs2EFZ\nWRkOhwOz2cySJUvYtGnTUcds3ryZ5cuXAzB37lw8Hg+dnZ1D1v1sneXLl7Nx40YANm3axNKlSzGb\nzTgcDsrKyti+fTt2u51LL70UALPZzLnnnovT6Ry5d0IkpEsuuWSsmyBGUDLFs8un8vxuFy2eEG2e\nMB0DYdKtRqbl2LFMkDxkx6wLxroJYgRNlHhm2U1My7Wjow+uNBSM8k6zh78d6EXVYmPdvBGVTOdc\nMXpO+o3ldDopKSmJl4uLi4/5EX6iY9rb209Y1+VyUVBQAEBBQQEulwuA9vZ2iouLh3w+j8fDX/7y\nl1GZRCGEECezv8vPhj0u3P4Ih3qD9IUi5KdZKM2yyopBQowDdrORM3Pt2M0GWrwhOvrD1PcEWP+h\ni75AZKybJ8RpddIJxMNdAWM4w2u6rh/38RRFGfJ5PntfNBpl6dKl3HHHHTgcjmOOXblyJaWlpQBk\nZmYya9aseM/4SO6clMdPee/evfG0s0Roj5QndjxjMZ3o5LPY0+lj/87tdPlUJs04lylZNtz1u2jm\n06urR/Kvk7nc2fgxF171/xKmPVKWeJ5qeerZ59MxoLJ/13aaTEYuuPBi1n3oIsd9gOJMW0Kdfz5P\n+chtidIeKZ96/LZu3UpLSwsAN910E6PhpEuLbtu2jQceeCCen//QQw9hMBhYtWpV/JhbbrmFyy67\njCVLlgBQUVHBW2+9xeHDh09Yt6KigjfffJPCwkI6Ojq4/PLLOXDgQHzuwD333APAokWLePDBB5k7\ndy4A3/3ud8nIyOCXv/zlMW2VpUWTz9atW2WYM4mM53j2h6L87cDg/gHd/ggun4rVpFCaZZuwyxM2\n7X1vwqSWTAQTOZ59wQjt3vAnE41tpFiMnFuUziWOrHG9H8F4PueKY43W0qIn/QY7//zzqa+vp6mp\nCVVVWb9+PYsXLz7qmMWLF/PMM88Ag52HrKwsCgoKhqy7ePFi1q5dC8DatWu5+uqr47e/8MILqKrK\n4cOHqa+vZ86cOQDcd9999Pf38/DDD4/cOyASmpzEkst4jedhd5Dnd3fS3h+m2ROi0xcmwzY4P2Ci\ndgRg4uSYTxQTOZ7ZdjPTcu0oikKjO0SvP8JO5wAv7e1iIBwd6+Z9buP1nCtOr5OmCZlMJtasWcPC\nhQvRNI0bb7yRyspKHn/8cQBWrFjBlVdeSU1NDWVlZaSmpvLUU08NWRcGr/xXVVXx5JNP4nA42LBh\nAwAzZ86kqqqKmTNnYjKZePTRR1EUhba2Nn7xi19QWVkZv/r/gx/8gO9+97uj8sYIIYQW0/lHs5cP\nnP0EIzFaPCEiWozJ6VZyUkyykZgQScRuNlKWa6fVG6Z9IEwgohGL6Ty/q5OFM3JxZNvHuolCjArZ\ngVgkNBniTC7jKZ79oSi1H/fSPhDGHYjQ0a9iNEBJlo1UiywbChM7rSQZSTwH6bpOzyepgBajgdIs\nGzazgQuKM7iwNHNcLRIwns654uRkB2IhhDhNGnoCvN7gJqBqtPWH8YaipFuMFGfZMI2jHwJCiFOn\nKAqT0iykWIy0ekIc6g1yRoaF99r6cXrDLJqRS4ZNfj6J5CEjA0II8YloTOftxj72dPoIqjFavSFU\nLUZBmoW8VLOkBQkxwUQ1nVZvCJ+qkWUzUZRhxW42Mq88h+l5KWPdPDHByMiAEEKMom6/Su3HvfT6\nI/HVgkwGmJpjl7QgISYok1HBkW2Lpw0F1BglWVZqDvTQXJDKpVOzJ8wmgyJ5yV+wSGifXWtXjH+J\nGE9d1/mgrZ8XdrtwDag09QXjqwWV56VIR2AIR9ZqF8lB4nl8R9KGpuXYQYFGd4gun8pHnX6e291J\nR394rJt4Qol4zhWJR0YGhBAT1kA4yt8PumnzhugPRXF6w8R0KMqwkm2X1YKEEJ9KsQyuNtTeH8bl\nU/GFNUoybby4p4sLSjKYU5IxriYXC3GEzBkQQkw4uq5T1+Xn7UYPwYhGe79KXyiC3WykJNM6ofcO\nEEIMTdd1vKEo7f0qAGekW8lOMZGfamHh9FxyU81j3EKRrGTOgBBCjABfOMqWhj4O9wXxqxptnjCR\nWIz8VAv5aTJJWAgxNEVRyLKbSbEYafOEaesP0R82EdV0nt/dyUVTMjm3KH1c71wsJha5/CUSmuQ7\nJpexjKeu69S5/Dy7q5NDvQHa+8McdgdRlMFJwgXpFukInCLJMU8uEs9TYzEamJpjozDdgi8cpb4n\ngDsYYWuThw17XPT6I2PdRPkOFcMiIwNCiKTXH4qypcFNsyeEX9VwesOEtRi5KWYK0iyS5yuE+FwU\nRWFSqoV0q4k2b5gWT4hM2+AowXO7O5lbksH5xTKXQCQ2mTMghEhaMV3nww4f/2jyEo5qdPpU3IEI\nZqOBokwrabJSkBBihOi6Trc/QpdPxagonJFhJctuIi/FzLyyHM7IsI51E8U4J3MGhBDiFLgGVN44\n5MblUxkIaTj7B+cG5KWYyZfRACHECFMUhfw0Cxk2E05vmFZvCG/IRETT2bDHxazCNC52ZGGTBQpE\ngpG/SJHQJN8xuZyOeKrRGG8e6mP9hy6cnwzbN3mCGA1wZo6dMzKs0hEYIZJjnlwkniPDZjIwLcfG\nGelWfGGN+p4A3f4IH3b4ePaDDg50+TldSRnyHSqGQ0YGhBBJQdd1DnQH+P8OewioGr2BwR1DdV2n\nIM1CXqpZVvcQQpwWiqKQl2omw2akvV+lYyCMJxilKMNK7cFe9nX6uPzMHFmGVCQEmTMghBj3unwq\nbzb20d4fJqAO7hsQjGqkWYxMzpB9A4QQY0fXdfrDGh39YaIxyLabKEy3YDYYmD05jbmlmZI6JIZF\n5gwIIcQ/8asa/2j2UOfyE9F0OgdUPKEIJoNCSaaNTJtRlgsVQowpRVHItJlIsxjp8qn0BiJ4Q1EK\n0y3scg5woMvPRVMyObswTUYvxZgYVle0traWiooKysvLWb169XGPuf322ykvL2f27Nns2rXrpHXd\nbjfz589n+vTpLFiwAI/HE7/voYceory8nIqKCl599dX47T/5yU8oLS0lPT39lF+oGJ8k3zG5jFQ8\nI1qMHa1enn6/g32dfrp9EQ72BPCEIuSlminPSyHLbpKOwCiTHPPkIvEcXUbD4ApDZbkp2MwGnP1h\nGnqD9PgjvHGoj+d2dXLYHRzR+QTyHSqG46SdAU3TuO2226itraWuro5169axf//+o46pqamhoaGB\n+vp6nnjiCW699daT1q2urmb+/PkcPHiQefPmUV1dDUBdXR3r16+nrq6O2tpaVq5cGf9gXHXVVezY\nsWNE3wAhxPgR03U+6vTxzAcd/KPZS29A5WBPgA5fmBSLgfK8FArTZYKwECJx2cwGpmbbKM2yoek6\njX1BmvtCtPeH2VTXzcv7unENqGPdTDGBnLQzsGPHDsrKynA4HJjNZpYsWcKmTZuOOmbz5s0sX74c\ngLlz5+LxeOjs7Byy7mfrLF++nI0bNwKwadMmli5ditlsxuFwUFZWxvbt2wGYM2cOhYWFI/fqRcK7\n5JJLxroJYgR93njqus6h3gB/3NnJaw2Dy4U29gZp9oQwKODItuHItsvcgNPMMeuCsW6CGEESz9Pn\nSOpQeZ6dwjQLPlWjvicY3xl93YedvHKgh77AF9vFWL5DxXCcdM6A0+mkpKQkXi4uLo7/OB/qGKfT\nSXt7+wnrulwuCgoKACgoKMDlcgHQ3t7OhRdeeMxjCSEmHl3XaeoLsa3Fi8unEo7GcA2oeMNRzAaF\nogwr2ZIOJIQYpwyKwqQ0C1l2E12+CO5ABE8wSl6qmVhMp74nSGVBCnNLMsmwyTRPMTpOehltuF+y\nw8lx03X9uI+nKMqQzyNf9BOX5Dsml+HGU9d1mvuCvLini0113bR6wrR5wtT3BPGpGgVpFsrzUshJ\nMcv5YQxJjnlykXiOnSO7opfnpZBqMeLyqXzcE6DLr7Kv08/TH3SwpcFNfyh6So8r36FiOE7azSwq\nKqK1tTVebm1tpbi4eMhj2traKC4uJhKJHHN7UVERMDga0NnZSWFhIR0dHeTn55/wsY7UGY6VK1dS\nWloKQGZmJrNmzYoPkx35UEh5/JT37t2bUO2R8ujGU9d1imaez442L9v+8Q7RGNgdX6IvGKXn4w9I\nt5qYfcFFmIxK/IfLkdQGKZ/+cmfjxwnVHilLPJOhPCXbxoGd2+kLRomeOZsev4ravJdDViMfzZ5D\nZX4K0Za9pFtNJz3/HpEI538pn3r5yL9bWloAuOmmmxgNJ91nIBqNMmPGDLZs2cLkyZOZM2cO69at\no7KyMn5MTU0Na9asoaamhm3btnHnnXeybdu2Ievefffd5ObmsmrVKqqrq/F4PFRXV1NXV8eyZcvY\nsWMHTqeTr371qzQ0NBx19S89PZ2BgYFj2ir7DAgxPmkxnfqeAO87Bwa/+KI63X6VvmAU0MlJMTMp\n1YzZKHMChBATh0/V6BpQ8Uc0zAaFvFQLuSlmjIpCWZ6d84szyE+zjHUzxWkyZvsMmEwm1qxZw8KF\nC9E0jRtvvJHKykoef/xxAFasWMGVV15JTU0NZWVlpKam8tRTTw1ZF+Cee+6hqqqKJ598EofDwYYN\nGwCYOXMmVVVVzJw5E5PJxKOPPhrvCNx9992sW7eOYDBISUkJ3/ve9/iP//iPEX9ThBCnhxqN8VGX\nn53OAQbCUcLRGN2+CJ5QFOWTTkBeqhmLdAKEEBNQmsVIao4Nvxqjyze4k3GPXyU3xUIkFuNgT4Ap\nWTbOKUpnSpZN0ibF5yI7EIuEtnXrVlkNIYkciac3FOXD9gE+cvkJazH8qkaPP8JAOIqCQk6KiTwZ\nCUh4TXvfkxVokojEM/H5VY0un4pP1TAqCjn2wQsmJqNCboqZcyanU5GfiumT5ZXlOzS5yA7EQohx\nTdd1OgfC/KWum8PuEJqu0x+K0hOIEIhomBSF/DQLOSnm+BeZEEKIT6VajEzNsROMDF5A6Qmo9AQi\nZNpMBCMxegMRtjZ5OKsgjVmFqWPdXDFOyMiAEGJUBVSNui4/ezt9eENRopqOOzi4hF4kpmM1GshN\nNZNtN2GQIW4hhBg2NTrYAegLRtF0nVSzkdxUMxlWE4oCjmw7ZxekMjXHLpsxJgEZGRBCjBsxXae5\nL8RHLj+N7iAxXcevargDEbwhDR2dNIuRolQzaRaj5LkKIcTnYDEZOCPDSn6ahb5ghN5AlBZPCLNB\nIdtuJqLpNPUFSTEbmZmfylkFqWSnmMe62SLBSGdAJDTJdxxfuv0q+7v8fNwVwB/RiGo6nmAUdzBC\nWIvRe3AXM748h5wUs+wWnAQkxzy5SDzHL+NnVhryqRq9gQhdfpW6nduZOusCclJM+FWN9539FKZb\nqJyUyvRJKdjNxrFuukgA0hkQQnwhnmCEgz0BDnYH6AlE0HUYCEfxBKP0hwdHAVLMRopTraRm2Tgj\nwzrWTRZCiKSkKArpVhPpVhNqNEa02UQoqtHsiWIyKGR9Mregc0DlrcMepmTZmDEphWk5dixygWbC\nkjkDQohT1heIcMgdpL4ngMungg6BiIYnGB2cF6Dr8S+e7BQzNvmSEUKIMaHrOgNhjb5glIFwFB2w\nmYxk2Uxk2UyYTQomg4Ij205Zrp2pOXYZuU1QMmdACDFmdF3H5VM57A7R0BugNxABIKhqeEJRvCGN\nSCyGAYUMm5Esu0nmAgghRAJQFIUMm4kMm4loTMcbGhy57fSFcfnCpJiN8dWIGnoDGBWF0iwbU3Ps\nTMuxkWaVn4rJTiIs/n/27jw+qvpe/P9r9iyEhIRkAkkgQAIJexAFl/ZqY0Dwa9SqCFZNK1SEUkS8\nFerj3l7bWyXYh221aIVeaxELwm17gV+NqSxuLAEhYTMsiQSy75nss5/fH5OMiYQQQpKZJO/n46Hk\nc3I+57xnzicz530+n885Xk3mDHiO2e6kwGTmUk0zedVmmmwOlJYegFqznbqWBEAFBBi0hPvoCDBo\nO71jhYxJHljkeA4scjwHnm8fU63a9TyCED8dVrvTlRiY7RTXWyipt+Cr0zDUoKXZ5iCvppn9X0OY\nvw0SOsMAACAASURBVJ4xwb6MHuZDeIBe7vo2AEkyIIQAwOFUKK23UlBrJr/GTGm9FScKDqdCg8VB\nncVBvcV1+zo1MMSgxejjuoWd3LJOCCH6F71WTegQPaFD9JjtTurMdurMrh6D0gYwaNQMNbgmHpc1\nWDlSUItBoyYqyIdRQT5EBRkI8tFKD/AAIHMGhBikWk/+i+ssFNaaKa6zYHMqoECzzUG91UGDxUGT\nzYmCglalIsCgIcDHNQRIEgAhhBh4rA4ndWbXxZ9GqwMF0KhUDDFoCNBrGGLQotO4Pv8DDFqiAg1E\nDDUwMlCSg94mcwaEEDek0eqgtN5CSZ2VknoLZQ1W7C0n/xa7k3qrg8aW/xwt1wh8dRpC/XUEGDT4\n6tTyIS+EEAOcXqNmuL+a4f46V89wy4WheovrBhFgwaBR46/XMMRgp6bJRnZ5IwB+Og0jhxoID9Az\nIsCAMUAvT5TvByQZEF5N5gx0T7PNQUWDjbIGK2UNVsobrNRZ7AAoCphtDhqtThptDpqsDuwtJ/96\njZpAH23Lh7ymxz/EZUzywCLHc2CR4znw3Ogx1ahVBPpoCfTRoih6LPaW5MDqmjtW3ey6mURrcuCv\n11DTbCO3ynU3IrXKNUfBOERPeICeUH89w/110rPsZSQZEKIfczhdD/WqbLJS1WSjstFGRYOVeqvD\nvY7F7sRsc9Jkc9Bsc9Jsc+LEdfJv0KgJ8NHgr9Pgb9Cg18jt5IQQQlxJpVLho1Pho3P1GiiKQrPN\ndVGp0epslxxo1Sr8dK4e5TqzndJ6C2fKXAmAWqUi2FdL6BDXQ9KG++sY7qfDX+5A5zEyZ0CIfqDZ\n5rqFp6nZTk2zjeomO9VNNkxmO86WP2FFAavdSbPdSbPNgdnuOvFvHfKjxjXsx1enxk+vwU+nRicn\n/0IIIXqAoihY7ApNNofrP6sTi8Pp/r1eo8ZXp8ZHq8ZXq8FHp3bPPQDXxalgPx3DfLXuf4N8dQT5\nyE0qWsmcASEGMLtTod5sp85ip97i6n5t+5/Z/s0HqqK4JnhZ7E4sdgWz3YnZ7iorfHPib2i5d7Sv\n7psPYLnqIoQQoje07TkIRge4eq9dPdIOmlt6qV3zDlw0KhU+WjU+OjUGjZqqJhs+WjXaNkmCCtfd\n6wJbHpIW6KMlwKBxPTvBoMFPr5Hbnd4gSQaEV+vvcwacrd2oVteVktYJug0Wh3tSVkPL79pqPeG3\nORT3ib/Vobj/bT3pB9CpXR++AQat60NVq8GgVXnlib+MSR5Y5HgOLHI8Bx5PH1ON2nUXoiEGjXuZ\nw9lyEcvmdF/MMjXb3b3Y4EoS9Bo1Bq0avUaFodlOmca1rG2iAK5hR0Na5rkF6F1DXoe0zF/w17uG\nwfrpNeg13vm96A2umQykp6ezatUqHA4HS5YsYc2aNVess3LlSj766CP8/Pz4y1/+QkJCQqd1q6ur\nefTRR7l8+TLR0dHs2LGDoKAgANatW8ef//xnNBoNb7zxBnPmzAHg+PHj/PCHP8RsNjN//nxef/31\nHnsThPc6ffq01yQDdqfScjXe9Z+57X9trny4r4LYXMudXDkSz+FUsDla/nM63T9bHa6Tfbuz/Qm/\nGhV6resKylAfFQat6yqKQavuV92npRfPy8nGACLHc2CR4znweOMx1ahV7hP1VoqitHzHtnzPtlwE\na7I5MJmd7eqrUaFrSQz0GhXalp91GhVatQqdWoW6g+9FrVrlGiqrdQ2V9dGq2/Scu4Yt+bR8r/ro\nWpIQrXpQ9Dp0mgw4HA5WrFjB3r17iYiI4OabbyY5OZn4+Hj3OmlpaeTm5pKTk8ORI0dYtmwZGRkZ\nndZNTU0lKSmJF154gfXr15OamkpqairZ2dls376d7OxsioqKuPvuu8nJyUGlUrFs2TLeeecdbrnl\nFubPn096ejr33HNPr79BwrNqa2uva31nyweKw+n6t91/jvZlm/vK+zcn5FaHa7nVoWC1O90n51aH\n03UbzqtRwKF8s23HVfZra/n52wmCCtBp1OjUKvz1ateHnLbNh516YFzRMDfWezoE0YPkeA4scjwH\nnv5yTFUq1wm+TkO7XgRwfa+7L5bZlXa95s02xX03vLY0LdvTqFXo1Gq0atB+619Ny78dJQ5ttX4P\nt/9edi1zxfzN93Tr97hW7UpSXD+r3WWt2hWTVq1Co8Jrvtc7TQaOHj1KTEwM0dHRACxcuJBdu3a1\nSwZ2795NSkoKALNmzcJkMlFaWkpeXt5V6+7evZvPPvsMgJSUFO68805SU1PZtWsXixYtQqfTER0d\nTUxMDEeOHGH06NHU19dzyy23APDkk0+yc+fODpOBM6UNN/SGXM9s6uuben31ldtup6O1rlimtP7z\nzW++HUvbotLJ+koHdd0TUlv+p7TWVb5ZX0Fp+bd92VXfleUr1/jZ2bIBh+Kq61QUnN8qHy+q548Z\nhTidruXO63vTu8zpVNwxOVpjabNPR+vPTtfvHU4nduc3yYdTUa7Zdlo/nPy0LR8WmvYfHFf7TGhN\nJAYCu1Oh+VtDokT/JcdzYJHjOfAMpGOqVavQ6lX40f7GF04Fdy+73aFga3PhzWp10kjnr1+FCo3a\n9R3derKuUalQtyzTtJy4q1uXq2j517WOWnX17+8bocK1bY3atU+dRk2C5prVuqXTZKCoqIioqCh3\nOTIykiNHjlxznaKiIoqLi69at6ysDKPRCIDRaKSsrAyA4uJiZs+efcW2dDodkZGR7uUREREUFRV1\nGPPe3OrOX7HwmHZJT5uT59akAgX3FfPWZSWFBVQ32dokHso367ZJQtr+rLRsx728Jcn4ZpnrRF+h\nNQFonyj1Foei4LAPjJP67iooyCe3qtnTYYgeIsdzYJHjOfDIMb02BQW7E+woWLqZN6lwnbC7/mtJ\nFFSgUn2TLKhp+belR6D1ZF+lcp34u9dt+VnVsr7796ggqOded1udJgNd7b7oyt1JFUXpcHsqVc8N\nf2hoaOC7Q3pkU8JLzP3PVUCNp8MQPeW//x0wezoK0VPkeA4scjwHHjmmA0pDw42NfrmaTpOBiIgI\nCgoK3OWCgoJ2V+g7WqewsJDIyEhsNtsVyyMiIgBXb0BpaSnh4eGUlJQQFhbW6bYiIiIoLCzscFtt\n3X///V160UIIIYQQQgjo9IlDM2fOJCcnh0uXLmG1Wtm+fTvJycnt1klOTua9994DICMjg6CgIIxG\nY6d1k5OT2bx5MwCbN2/mgQcecC//4IMPsFqt5OXlkZOTwy233EJ4eDhDhw7lyJEjKIrCli1b3HWE\nEEIIIYQQ3dNpz4BWq2XDhg3MnTsXh8PB4sWLiY+PZ+PGjQAsXbqU+fPnk5aWRkxMDP7+/rz77rud\n1gVYu3YtCxYs4J133nHfWhRg4sSJLFiwgIkTJ6LVannrrbfcQ4jeeustfvjDH9Lc3Mz8+fPlTkJC\nCCGEEELcIJXSlQH/QgghhBBCiAGn02FC/Ul6ejpxcXHExsayfv16T4cj2njqqacwGo1MmTLFvay6\nupqkpCTGjx/PnDlzMJlM7t+tW7eO2NhY4uLi+Pjjj93Ljx8/zpQpU4iNjeXZZ591L7dYLDz66KPE\nxsYye/ZsLl++3DcvbJAqKCjgrrvuYtKkSUyePJk33ngDkGPaX5nNZmbNmsX06dOZOHEiP//5zwE5\nnv2dw+EgISGB++67D5Dj2d9FR0czdepUEhIS3LdZl2Paf5lMJh5++GHi4+OZOHEiR44c8ezxVAYA\nu92ujBs3TsnLy1OsVqsybdo0JTs729NhiRaff/65kpmZqUyePNm97Gc/+5myfv16RVEUJTU1VVmz\nZo2iKIry1VdfKdOmTVOsVquSl5enjBs3TnE6nYqiKMrNN9+sHDlyRFEURZk3b57y0UcfKYqiKG++\n+aaybNkyRVEU5YMPPlAeffTRPnttg1FJSYmSlZWlKIqi1NfXK+PHj1eys7PlmPZjjY2NiqIois1m\nU2bNmqV88cUXcjz7uddee0157LHHlPvuu09RFPnM7e+io6OVqqqqdsvkmPZfTz75pPLOO+8oiuL6\n3DWZTB49ngMiGTh06JAyd+5cd3ndunXKunXrPBiR+La8vLx2ycCECROU0tJSRVFcJ5cTJkxQFEVR\nXnnlFSU1NdW93ty5c5XDhw8rxcXFSlxcnHv5tm3blKVLl7rXycjIUBTF9Uc1fPjwXn894hv333+/\nsmfPHjmmA0BjY6Myc+ZM5cyZM3I8+7GCggIlMTFR2b9/v/L//t//UxRFPnP7u+joaKWysrLdMjmm\n/ZPJZFLGjBlzxXJPHs8BMUzoag8+E96rswfPtb19bduH2F3twXNtj79WqyUwMJDqann4XF+4dOkS\nWVlZzJo1S45pP+Z0Opk+fTpGo9E9BEyOZ//13HPP8Zvf/Aa1+puveDme/ZtKpeLuu+9m5syZ/OlP\nfwLkmPZXeXl5hIaG8qMf/YgZM2bw4x//mMbGRo8ezwGRDPTUQ8uEZ/Tkg+dE32loaOChhx7i9ddf\nJyAgoN3v5Jj2L2q1mhMnTlBYWMjnn3/OJ5980u73cjz7j3/+85+EhYWRkJBw1QeCyvHsfw4ePEhW\nVhYfffQRb775Jl988UW738sx7T/sdjuZmZksX76czMxM/P39SU1NbbdOXx/PAZEMdOXhaMK7tD54\nDuj2g+daj3FERAT5+fmA64+straW4ODgvnopg5LNZuOhhx7iiSeecD/zQ45p/xcYGMi9997L8ePH\n5Xj2U4cOHWL37t2MGTOGRYsWsX//fp544gk5nv3ciBEjAAgNDeXBBx/k6NGjckz7qcjISCIjI7n5\n5psBePjhh8nMzCQ8PNxjx3NAJANdeTia8C498eC51idOt93W3/72NxITEz3zogYJRVFYvHgxEydO\nZNWqVe7lckz7p8rKSvddK5qbm9mzZw8JCQlyPPupV155hYKCAvLy8vjggw/43ve+x5YtW+R49mNN\nTU3U19cD0NjYyMcff8yUKVPkmPZT4eHhREVFceHCBQD27t3LpEmTuO+++zx3PLs3/cH7pKWlKePH\nj1fGjRunvPLKK54OR7SxcOFCZcSIEYpOp1MiIyOVP//5z0pVVZWSmJioxMbGKklJSUpNTY17/Zdf\nflkZN26cMmHCBCU9Pd29/NixY8rkyZOVcePGKT/96U/dy81ms/LII48oMTExyqxZs5S8vLy+fHmD\nzhdffKGoVCpl2rRpyvTp05Xp06crH330kRzTfurUqVNKQkKCMm3aNGXKlCnKq6++qiiKIsdzAPj0\n00/ddxOS49l/Xbx4UZk2bZoybdo0ZdKkSe5zHDmm/deJEyeUmTNnKlOnTlUefPBBxWQyefR4ykPH\nhBBCCCGEGKQGxDAhIYQQQgghxPWTZEAIIYQQQohBSpIBIYQQQgghBilJBoQQQgghhBikJBkQQggh\nhBBikJJkQAghhBBCiEFKkgEhhBBCCCEGKUkGhBBCCCGEGKQkGRBCCCGEEGKQkmRACCGEEEKIQUqS\nASGEEEIIIQapG0oG0tPTiYuLIzY2lvXr13e4zsqVK4mNjWXatGlkZWVds251dTVJSUmMHz+eOXPm\nYDKZADCbzSxatIipU6cyceJEUlNTbyR0IYQQQgghBr1uJwMOh4MVK1aQnp5OdnY227Zt4+zZs+3W\nSUtLIzc3l5ycHDZt2sSyZcuuWTc1NZWkpCQuXLhAYmKi+6T/gw8+AODUqVMcP36cjRs3kp+f393w\nhRBCCCGEGPS6nQwcPXqUmJgYoqOj0el0LFy4kF27drVbZ/fu3aSkpAAwa9YsTCYTpaWlndZtWycl\nJYWdO3cCMGLECBobG3E4HDQ2NqLX6xk6dGh3wxdCCCGEEGLQ63YyUFRURFRUlLscGRlJUVFRl9Yp\nLi6+at2ysjKMRiMARqORsrIyAObOncvQoUMZMWIE0dHR/OxnPyMoKKi74QshhBBCCDHoabtbUaVS\ndWk9RVG6tE5H21OpVO7l77//Ps3NzZSUlFBdXc13vvMdEhMTGTNmzPUFLoQQQgghhABuIBmIiIig\noKDAXS4oKCAyMrLTdQoLC4mMjMRms12xPCIiAnD1BpSWlhIeHk5JSQlhYWEAHDp0iAcffBCNRkNo\naCi33347x44da5cMbN261d2rIIQQQgghxEDR0NDA/fff3+Pb7XYyMHPmTHJycrh06RIjR45k+/bt\nbNu2rd06ycnJbNiwgYULF5KRkUFQUBBGo5GQkJCr1k1OTmbz5s2sWbOGzZs388ADDwAQFxfH/v37\nefzxx2lsbCQjI4Pnnnuu3f6MRiMzZszo7ksSg0xqaipr1671dBh9SlEUytM/p2J/BordgbmkHEtp\nJYrDASoVKq0GlVqN02IFVGiH+OEzMhRdcBAB8TFEPDofrb+vp19GnxuMbUV0n7QX0VXSVsT1yMzM\n7JXtdjsZ0Gq1bNiwgblz5+JwOFi8eDHx8fFs3LgRgKVLlzJ//nzS0tKIiYnB39+fd999t9O6AGvX\nrmXBggW88847REdHs2PHDvf2Fi9ezJQpU3A6nTz11FNMnjz5Rl+/EIOG4nRS/L/p1Bw7jbW8iqbL\nxSgOJ7qQQHwjjKh9fdzD8hzNFqzVJqyVNTRcuITBOBycTr7+fTlRjyfjNzrCw69GCCGEED2h28kA\nwLx585g3b167ZUuXLm1X3rBhQ5frAgQHB7N3794rlhsMBt5///0biFaI9gbTrWmdVhuFf91NXXYu\n5sJSmgtL0QYG4Dd6JBq/K6/0a3wN+EYY8RkRSnNBKZaScuwNTQyJjebSH7cx+ulH8R8b1cGeBqbB\n1FbEjZP2IrpK2orwBvIEYjFoTZkyxdMh9Amnzc7l//lf6r7KpSmvkObCUvShwQyJG9thItCWSq3G\nb/RI/MePwWm2UHfmPLb6RvL/8g/MZZV99Ao8b7C0FdEzpL2IrpK2IryBSunK7X76iX379smcASHa\nUBSF4h0fUfPlaRpzL2GtMuEzMgyfqBFdviNYK4fZQv1XuajUKoZOGo8hPISxK55AG+DfS9ELIYQQ\nolVmZiaJiYk9vt0bGiYkhPBupqOnqDl2GnNRKdYqE76jRuIzMqxb29L4GBgyYQwN2bnUn7+ISqPm\n8p//xphnFqE26Hs4ciGEaE9RFMrLy3E4HJ4ORYheo9FoCAsLu+4LdjdCkgExaB04cIA77rjD02H0\nmuaCEkp27sVmqqO5sAz98GEYRoTe0Da1Q/zwj42m4UIeDTmXQK2i6G/pRP0guWeC9lIDva2IniXt\npXeUl5cTEBCAn5+fp0MRotc0NTVRXl7ep7fKlzkDQgxA9sZmCrbswt7QRGNuPho/H/zGRPXIlQbd\nsKH4RUe2JBml1J44S+2p8z0QtRBCXJ3D4ZBEQAx4fn5+fd77JcmAGLQG8pW74r//C2tVjevqvaLg\nHxuNStNzf+4GYwj60GDMxeU4Gpoo+cfH2Bsae2z73mYgtxXR86S9CCH6E0kGhBhg6s9+Td3p8zQX\nluFobMJv3Cg0voYe34/v6JGodVoavy7AXt9Ayc4rbwkshBBCCO8myYAYtA4cOODpEHqc02qjZOce\nHE1mzCXl6EOD0QcH9sq+1FotfmOicDQ301xYRu3JcwN2uNBAbCui90h7EX3pvvvuY8uWLR3+Lj8/\nn5CQEJxOZx9H1bMWLFjA9u3bPR3GgCUTiIUYQCr2HcJaXUtTXiEqjQbfUSN7dX+6YUPdw4X0wYGU\n/ONj/MeNQuvf+fMLhBCiJ1irTNhMdb22fV3QUPQhQb22/Z6gUqn69M4znrBjxw5PhzCgSTIgBq2B\nNq7XXFZJ5adHsVZUY69vwG9sFGpd7/+J+44eib22nsavC9D4+1K57zDhyd/r9f32pYHWVkTvkvbS\nd2ymOvLe3tZr2x/zzCKvTwa8md1uR6vt/vdQ66OwBnqy42k3NEwoPT2duLg4YmNjWb9+fYfrrFy5\nktjYWKZNm0ZWVtY161ZXV5OUlMT48eOZM2cOJpMJgL/+9a8kJCS4/9NoNJw6depGwhdiwFAUhZL/\n24PTaqPpcjHaAH/0ocF9sm+1Vovv6Agczc1YK6qpOngca2VNn+xbCCG8weuvv86kSZMYNWoUs2bN\n4vPPPwcgNTWVH/3oRyxfvpxRo0Zx2223ceLECXe98+fPc9999zFmzBhuu+020tPTAbh8+TJjxoxx\nr/fss88yYcIEd/mZZ57h7bffdpfz8vK4++67GT16NI8//rj73OnbSkpKeOyxxxg3bhwzZ87kvffe\nA8BsNjNy5Ehqalyf3a+99hphYWE0NDQA8PLLL/Piiy8CYLFY+M///E+mTp1KXFwczz//PGazGXAN\nkZs0aRJvvPEG8fHxrFy58ooYtm7dyj333MOaNWuIjo5u936Ba9jTyy+/zD333ENUVBSXLl26YijU\n5s2bmT17NqNGjeLWW291nw+WlJTw5JNPMn78eBISEti0adNVj1l1dTWLFi1i9OjR3H333bz88svM\nnz8f6Hh41bdjeP/995k9ezZjx47l4YcfprCw0P27F198kQkTJjB69GjuuOMOzp49C8CePXu49dZb\nGTVqFJMmTWLDhg1Xja8vdTsZcDgcrFixgvT0dLKzs9m2bZv7xbZKS0sjNzeXnJwcNm3axLJly65Z\nNzU1laSkJC5cuEBiYiKpqakA/OAHPyArK4usrCy2bNnC2LFjmTp1anfDF2JAjeutP3OBxq/zac4v\nRnE48I2O7NMrKbrgQLQB/jQXlKLY7JSlf37tSv3IQGorovdJexlccnJy+J//+R/2799Pfn4+f//7\n3xk1apT79//617/4/ve/z+XLl5k3bx4vvPACADabjccee4zExERycnJYv349Tz/9NF9//TWjR48m\nICDAfZJ7+PBhhgwZwoULFwA4dOiQuwdKURQ++OADNmzYwNmzZ9FoNKxdu7bDWJcsWUJkZCRnz57l\nL3/5C7/+9a/54osv8PHxYcaMGe62e/DgQUaNGkVGRsYV+/vlL39JXl4eX3zxBceOHaOkpITf/OY3\n7n1UVFRgMpk4deoUv/3tbzuMIzMzkzFjxvD111+zdu1annzySWpra92/37FjB6+//jr5+flERUW1\nGwq1c+dOXn31Vd5++23y8/PZunUrwcHBOJ1OHnvsMaZOnUp2djY7d+7k7bffZv/+/R3G8LOf/Ywh\nQ4Zw/vx53nzzTT744INOvzfbxpCWlsbvf/97tmzZQm5uLrfeeitLliwBYN++fWRkZPDll19y+fJl\n3n33XYKDXRfnVq5cye9+9zvy8/M5fPgw3/3ud6+6v77U7WTg6NGjxMTEEB0djU6nY+HChezatavd\nOrt37yYlJQWAWbNmYTKZKC0t7bRu2zopKSns3Lnzin1v3bqVhQsXdjd0IQYUxemk/F8HcDabsZRX\nYzAO7/Mx+yqVCt9RI3HabJhLyqk9eY6my8V9GoMQQniCRqPBarVy7tw5bDYbkZGRREdHu38/e/Zs\n7r77blQqFY888ghfffUVAMeOHaOpqYlVq1ah1Wr5zne+w9y5c/nb3/4GwO23386BAwcoKytDpVKR\nnJzMoUOHuHz5MvX19UyePBlwff4uXLiQuLg4/Pz8ePHFF9m5c6d7iE2rwsJCjh49yn/913+h1+uZ\nPHkyTzzxBB988AEAt912GwcPHsThcHD27FmefvppDh06hNls5sSJE9x2220oisKWLVv49a9/TWBg\nIEOGDGHVqlX84x//cO9HrVazdu1adDodPj4+Hb5noaGhPPPMM2g0Gh588EFiYmL417/+5X49ixYt\nYsKECajV6iuGGW3ZsoVnn32W6dOnAzBmzBgiIyPJzMykqqqKf//3f0er1TJ69GieeOKJdrG1cjgc\n/POf/2Tt2rX4+PgwYcIEFi5ceMV7djXvvvsuq1atIjY2FrVazXPPPceZM2coLCxEr9fT0NDAhQsX\ncDqdxMbGuh8gptPpOHfuHHV1dQwdOtRrLmp3OxkoKioiKirKXY6MjKSoqKhL6xQXF1+1bllZmftN\nMxqNlJWVXbHvHTt2sGjRou6GLgQwcMb11p44h7mskuaCUlQaNT4RfffUwra0Af7ogoMwF5ejWO2U\n/fOTLn+weruB0lZE35D2MriMHTuWV155hfXr1zNhwgSWLFlCaWmp+/dhYWHun/38/DCbzTidTkpK\nSoiIiGi3raioKEpKSoBvTs4PHz7Mrbfe6i4fOnSIW2+9tV29ttuJjIzEZrNRVVXVbp3S0lKGDRuG\nv79/u3Vb93f77bdz8OBBTp48SXx8PP/2b//GwYMHOX78OGPGjCEoKIjKykqampq46667GDNmDGPG\njGHBggXt9hUSEoJer+/0PRsxYsQVr7vte/bt96Wt4uLidkOoWhUUFFBaWuqOa8yYMfzud7+jsrLy\ninUrKyux2+3t9tPZPjva14svvujez7hx4wDXMKXvfOc7LFmyhBdeeIEJEybw3HPPUV9fD7iGN+3d\nu5fp06dz33338eWXX3Z5n72p27M6ujoEoSsnA4qidLi9jmbIHzlyBD8/PyZOnNjhtlrH5QEEBgYy\nZcoU9wdza/eXlKU8UMqK04nx0Fkcjc0cL7iIfvgwZrdMGs4qyQcgYcSoPis79XbGKgrNhSWcqCrm\nwlA1c59Y5DXvl5SlLOX+Ww4JCWHkyN69Q1p3PfTQQzz00EPU19ezevVqfvnLX/LHP/6x0zojRoyg\nqKio3TlQQUEBsbGxgOvk/L/+678YOXIkd9xxB7Nnz+b555/HYDBw++23t9tW2/HqhYWF6HQ6QkJC\naGpqci8PDw+npqaGhoYGhgwZ4l639T29+eabyc3N5cMPP+SOO+5gwoQJFBYWsmfPHvdxCAkJwdfX\nl8OHDxMeHt7h6+rK+WFrAtKqoKDAPV7/WtuIiIjg4sWLVyyPjIxk9OjRXTrBHj58OFqtlqKiIveJ\nfNsL2q1Pum5qanK/V20vTkdGRvKzn/2Mhx56qMPtP/300zz99NNUVlby1FNP8Yc//IEXX3yRMVDs\n1gAAIABJREFUhIQE3n//fRwOB5s2beKpp57i9OnTV9Svra11v8YDBw6Qn+/6vm0ditTTVEo3L91l\nZGTw0ksvuSe7rFu3DrVazZo1a9zrPPPMM9x5553uIT1xcXF89tln5OXlXbVuXFwcn376KeHh4ZSU\nlHDXXXdx7tw59zafe+45jEZjh+Ph9u3bx4wZM7rzcsQgdODAgX5/Ba/myEmK/pZOw7mL2BuaCJwe\nj0qr8WhMTZeKsJRWMnTqBPzHRDLu+af6/Z0gBkJbEX1H2kvvKC4uviIZaPw6v9fvJuQ/blSn6+Tm\n5lJcXMysWbNQqVSsXr0aRVF48803SU1N5dKlS+7Jvvn5+SQkJFBRUYHdbmf27NmkpKSwfPlyjhw5\nwmOPPcb+/fuJiYkBYOLEiTQ2NnL48GFGjhxJYmIiubm57Nq1yz1M5r777iMvL4+///3vREVFsXz5\ncgwGAxs3bmy3P7Vazb333svkyZP51a9+RW5uLg899BCbNm1yj12/5557OHv2LNu3b2f27Nn86Ec/\nYv/+/fzhD38gOTkZgJ///OeUlZXx6quvMnz4cIqLizl37hzf+973OHDgAM888wxnzpy56vu1detW\nVq1axX//93/z1FNP8eGHH/Lss89y8uRJgoKCSE5O5pFHHuGJJ55w10lOTmbBggU8/vjj7Nq1i//4\nj//g/fffZ+rUqeTl5aHX693vz4MPPsiPf/xj9Ho958+fx2KxkJCQcEUcixcvRqPR8Prrr1NQUMDD\nDz9MVFQUH374IQCTJ09m9erVpKSksG3bNp5//nlee+01Hn/8cT788ENeeeUV3nnnHeLi4qirq2P/\n/v088MADZGVl4XA4mDZtGlarlR/+8IfMnDmT1atXs3PnTubOncvQoUPZsmULr732WrsJ5a06auvg\nmmuRmJjYaXvsjm4PE5o5cyY5OTlcunQJq9XK9u3b3Q2lVXJysnumekZGBkFBQRiNxk7rJicns3nz\nZsDVnfLAAw+4t+d0Ovnf//1fmS8gBOC02SnfcxB7fSM2Ux0+I0I9nggA+EQYUWnUmIvKMJdVUn/m\ngqdDEkKIXmO1WvnVr35FbGws8fHxVFdX84tf/ALoeIRDa1mv17N161b27t1LbGwsL7zwAm+//bY7\nEQBX70DbHpHWHoFp06a1297ChQv5yU9+Qnx8PDabzX3zlbb7A/jTn/5Efn4+EydO5Mknn2Tt2rXt\nJrHefvvtOBwObrrpJne5sbGR2267zb3OSy+9xNixY5kzZw6jR4/m+9//Pl9//XWH+7uam266iYsX\nLxIbG8u6devYvHkzQUHf3MK1s23cf//9PP/88zz99NOMHj2aJ598EpPJhFqtZtu2bZw+fZoZM2YQ\nGxvbbojOt7366qvU1dURFxfH8uXLeeihh9oNb/r973/PH/7wB2JiYjh//jyzZs1y/+7ee+/l2Wef\nZcmSJYwePZrbb7/dPVG5vr6e5557jnHjxjF9+nRCQkL46U9/CriGuU+fPp3Ro0ezefNmNm7ceM33\nqi90u2cA4KOPPmLVqlU4HA4WL17Mz3/+c/cLW7p0KYD7rkH+/v68++677iv3HdUF162eFixYQH5+\nPtHR0ezYscPdQD799FNefPFFDh061GE80jMgBpOqA8co2bWP+uxcHM0WAqfHodJ4PhkAaM4vxlxc\nQeC0OPxjRzN25ZP9vndACOFZHV0tlYeO9T9bt27l/fffJy0tzdOhtPPSSy9RUVHBm2++6elQ+rxn\noNtzBgDmzZvHvHnz2i1rTQJaXe0eqh3VBQgODmbv3r0d1rnzzjuvmggIMZg47XYqPzmCvbYBe10D\nvqMjvCYRADCEh2IurcRcXI7a10DD+TwC4sZ6OiwhxACjDwmSk3XRLTk5OVitViZOnEhmZiZ//etf\neeONNzwdlkfc0EPHhOjP+vO9wGuzzmKra8BcXIZKp8NgDPF0SO2o9ToMYSFYKqtxWqxU7jvs6ZBu\nSH9uK6LvSXsR4uo6GjrlCQ0NDaSkpBAVFcWSJUtYsWJFhxepB4Mb6hkQQvQ9RVGo/OQIjsZmbLX1\n+I4aiUrtfXm9z4hQLGWVmEvKURv0NF4swH9s1LUrCiGEGLAWLVrkFbeHT0hI4NixY54Owyt43xmE\nEH2kv97toz47F0tFFebiclQaDfqwYE+H1CG1QY8+NBhrWTWK1U7Fvv47xK+/thXhGdJehBD9iSQD\nQvQzVZ8exWm2Yq0yoQ8LQa313g4+nxFhKCiYS8ppuHCJ5oKSa1cSQgghRJ+RZEAMWv1xXG/TpUIa\nLxViLi0HlWsojjfT+BrQBwdhKa9CsTuo+uK4p0Pqlv7YVoTnSHvpHRqNpt1DtIQYiJqamtD08Q1B\nvPeSohDiCpWfHEGx2bGWV6MfPgy1XufpkK7JMCIUa1UN1opqak+exXjvv6ELDPB0WEKIfiYsLIzy\n8nJMJpOnQ+kxtbW1BAYGejoM4UU0Gg1hYWF9uk9JBsSg1d/G9VrKq6jLzsVSVonidOIzom8/LLpL\nO8QPbYA/5tJKDOGhVB/OwnjPd69d0Yv0t7YiPEvaS+9QqVQYjUZPh9GjOrqXvBB9TYYJCdFPVB08\nDk4n5tJKdMMC0fj5eDqkLjOEh+K0WLDV1FJz+AROm93TIQkhhBACSQbEINafxvU6mi2Yjp3BWmVC\nsdsxhA/3dEjXRRcciNqgx1xSgb2pmdrMrzwd0nXpT21FeJ60F9FV0laEN7ihZCA9PZ24uDhiY2NZ\nv359h+usXLmS2NhYpk2bRlZW1jXrVldXk5SUxPjx45kzZ067sYGnTp3i1ltvZfLkyUydOhWLxXIj\n4QvRb5iOn8ZptWEurUTj64N26BBPh3RdVCoVBuNw7PUNOBqbqfriGIqieDosIYQQYtDrdjLgcDhY\nsWIF6enpZGdns23bNs6ePdtunbS0NHJzc8nJyWHTpk0sW7bsmnVTU1NJSkriwoULJCYmkpqaCoDd\nbueJJ55g06ZNnDlzhs8++wydzvsnTwrv1V/G9SqKQvXBTOz1jTgamzCED/eKpzdeL0NYCCqNBnNJ\nBeayShpzLns6pC7rL21FeAdpL6KrpK0Ib9DtZODo0aPExMQQHR2NTqdj4cKF7Nq1q906u3fvJiUl\nBYBZs2ZhMpkoLS3ttG7bOikpKezcuROAjz/+mKlTpzJlyhQAhg0bhtoLn7oqRE9rOJ+HpbIGS2ml\n6yFjw4d5OqRuUWk16EODsVWZUKx2qr6QJz8KIYQQntbts+mioiKioqLc5cjISIqKirq0TnFx8VXr\nlpWVue8WYDQaKSsrA+DChQuoVCruuecebrrpJn7zm990N3QhgP4zVrP6YCZOqw1rtQl9aDCqPr7/\ncE8yGIejKE4s5ZU0nL+Itap/3CKwv7QV4R2kvYiukrYivEG3k4GuDlPoyrhgRVE63J5KpXIvt9vt\nHDhwgK1bt3LgwAH+7//+j/37919f0EL0M5aKatdJc3kVKK6T6f5M42tAGxjgegiZ00nNkZOeDkkI\nIYQY1Lr9nIGIiAgKCgrc5YKCAiIjIztdp7CwkMjISGw22xXLIyIiAFdvQGlpKeHh4ZSUlLgfvBAV\nFcV3v/tdgoODAZg/fz6ZmZl873vfa7fP5cuXM2rUKAACAwOZMmWKe0xeawYuZSm3OnDggNfE01G5\n6mAm4xxOLGVVnFU142sqI8HX1b6zSvIBSBjRv8qTjMNpvJDHlxfOYjCVs3DO7ai1Wq94v69WvuOO\nO7wqHil7d1nai5SlLOWeKLf+nJ/v+v5csmQJvUGldPOWHna7nQkTJrBv3z5GjhzJLbfcwrZt24iP\nj3evk5aWxoYNG0hLSyMjI4NVq1aRkZHRad0XXniBkJAQ1qxZQ2pqKiaTidTUVGpqarj77rs5cOAA\nOp2OefPmsXr1aubNm+fe3759+5gxY8aNvytCeAGnzc75/36T5oISGnMvMyRuLLqgoZ4O64YpikJd\nVjYaXx+GxI8j6rH7CEyY6OmwhBBCCK+WmZlJYmJij2+328OEtFotGzZsYO7cuUycOJFHH32U+Ph4\nNm7cyMaNGwHX1fuxY8cSExPD0qVLeeuttzqtC7B27Vr27NnD+PHj2b9/P2vXrgVcE4ZXr17NzTff\nTEJCAjfddFO7RECI69U28/ZGtSfP4mg2YymrQm1wDa8ZCFQqFfqwEGy1DTibLVQfPuHpkK7J29uK\n8C7SXkRXSVsR3kB7I5XnzZt3xQn50qVL25U3bNjQ5boAwcHB7N27t8M6P/jBD/jBD37QzWiF6F9q\nDp/A2WzGXt+A76iR/fJ2oldjCAvBXFSGpbwKta8Bc0kFPiNCPR2WEEIIMejIvTnFoNV27oC3MReX\n05RfjLmsClQq9KH983aiV6PW69ANC8RSUQ1OJ9UZWdeu5EHe3FaE95H2IrpK2orwBpIMCOGFqo+c\nAKcTa2U1uuBA1APwAXsGYwiK3Y61ykTt8a9wmOWJ4kIIIURfk2RADFreOlbTabFSe/wrrFUmFLsD\nQ1iIp0PqFdqhQ1D7+mApq8JhsVJ38pynQ7oqb20rwjtJexFdJW1FeANJBoTwMrUnzuKwWF0Th30M\naIcO8XRIvUKlUmEIC8He0IijyUy1PHNACCGE6HOSDIhBy1vHalZnnMDRZMbe0IjBGDKgJg5/m374\nMFCrsZRX0VxQQnNRmadD6pC3thXhnaS9iK6StiK8gSQDQniR5oISmgtLsZRXglqNfniwp0PqVWqd\nFv2wQKyVronENUeld0AIIYToS5IMiEHLG8dq1nx52jVxuKIGfXAgat0N3f23X9AbQ1DsDtdE4sxs\nnBarp0O6gje2FeG9pL2IrpK2IryBJANCeAmnxUptZsvEYYcD/QCdOPxt2gB/1D4GLOXVOMwWak+f\n93RIQgghxKAhyYAYtLxtrGbt6fOuicPlLROHA/w9HVKfcE8krm/A2WymJsP7hgp5W1sR3k3ai+gq\naSvCG0gyIISXqMk42fLE4UYMYQN74vC36UOHgUqFpbyKpstFmEsrPB2SEEIIMSjcUDKQnp5OXFwc\nsbGxrF+/vsN1Vq5cSWxsLNOmTSMrK+uadaurq0lKSmL8+PHMmTMHk8kEwKVLl/D19SUhIYGEhASW\nL19+I6EL4VVjNc2lFTRdLsJS3vLE4eED64nD16LWtT6RuMY1kfjIKU+H1I43tRXh/aS9iK6StiK8\nQbeTAYfDwYoVK0hPTyc7O5tt27Zx9uzZduukpaWRm5tLTk4OmzZtYtmyZdesm5qaSlJSEhcuXCAx\nMZHU1FT39mJiYsjKyiIrK4u33nqru6EL4XVMR10Thy0VNeiGBaLWD7wnDl+L+4nE1bWYMs/gtNk9\nHZIQQggx4HU7GTh69CgxMTFER0ej0+lYuHAhu3btarfO7t27SUlJAWDWrFmYTCZKS0s7rdu2TkpK\nCjt37uxuiEJ0ylvGajrtdkzHz2CtqUOx2zGEDezbiV6NdugQ1AY91opqHE1m6s9c8HRIbt7SVkT/\nIO1FdJW0FeENup0MFBUVERUV5S5HRkZSVFTUpXWKi4uvWresrAyj0QiA0WikrOybhxDl5eWRkJDA\nnXfeKV1rYsCoP5ODvakZa3kVar0ebWCAp0PyCJVKhT4sBFttA06z1XWbVSGEEEL0qm7fxLyrkxsV\nRenSOh1tT6VSuZePHDmSgoIChg0bRmZmJg888ABfffUVAQHtT5yWL1/OqFGjAAgMDGTKlCnuzLs1\ngZCylAH++Mc/ekX7iMwuwmm2kll8GX1oMLNb2nxWST4ACSNGDZqy025jrAosFVV88fnn5EUGctf8\ne3r0/e5Oue3FB0+3Fyl7f1nai5S7Wm5d5i3xSNm7yq0/5+e7vi+XLFlCb1ApXTlb70BGRgYvvfQS\n6enpAKxbtw61Ws2aNWvc6zzzzDPceeedLFy4EIC4uDg+++wz8vLyrlo3Li6OTz/9lPDwcEpKSrjr\nrrs4d+7cFfu/6667eO2115gxY4Z72b59+9qVhejMgQMH3H94nmKtMnEhdSPmghKai8sJnB6P2qD3\naEye1nDuIo6mZgITJhKaeCvGef/m6ZC8oq2I/kPai+gqaSviemRmZpKYmNjj2+32MKGZM2eSk5PD\npUuXsFqtbN++neTk5HbrJCcn89577wGu5CEoKAij0dhp3eTkZDZv3gzA5s2beeCBBwCorKzE4XAA\ncPHiRXJychg7dmx3wxfCKz6Aa748BYqCpaIaXWDAoE8EAPRhITitNmymekxfnkFxOj0dkle0FdF/\nSHsRXSVtRXgDbbcrarVs2LCBuXPn4nA4WLx4MfHx8WzcuBGApUuXMn/+fNLS0oiJicHf35933323\n07oAa9euZcGCBbzzzjtER0ezY8cOAD7//HN+8YtfoNPpUKvVbNy4kaCgoBt9/UJ4jOJ0YvryNDZT\nPU6rDd/oCE+H5BV0QUNR6XRYyqvQDRtKw7mLBEyM8XRYQgghxIDU7WFC3kiGCYnr4enu2frsXC6/\n+3cazudhb2giMGEiKvXgedBYZ5rzizGXVBCUMInA6XGM+tFDHo3H021F9C/SXkRXSVsR18PrhgkJ\nIW5MzdFTKFY7NlMdhtBhkgi0oQ8NaRk+VUX92YvYaus9HZIQQggxIEkyIAYtT16NsdU1UJ/9NZbK\nKlAU9KGD89kCV6PxNaAdOgRrRbVrONWxMx6NR67ciesh7UV0lbQV4Q0kGRDCA0zHzqAoTqzl1WiH\nDkHj6+PpkLyOISwEh9mCva6Bmi9Pdek2xUIIIYS4PpIMiEGr7X18+5KiKNQcPYm9rgGH2SK9Aleh\nCw5EpdFgKa/CWmWiMfeyx2LxVFsR/ZO0F9FV0laEN5BkQIg+1vh1PtYqE5ayKlQaDfpguStWR1Rq\nNfrQYGzVtSg2OzVHTno6JCGEEGLAkWRADFqeGqtpOnoKxe7AVl2LfvgwVBr5M7wafWiwazhVVQ31\nZ3KwNzZ5JA4Z1yuuh7QX0VXSVoQ3kLMQIfqQvbGZulPnsVZWoyhO9GEhng7Jq2n9fdEM8cNSVoXT\n4cB0/CtPhySEEEIMKJIMiEHLE2M1TcfP4HQ4sJRVo/H3Q+vv2+cx9DeGsBAczWbs9Y2uXhUPTCSW\ncb3iekh7EV0lbUV4A0kGhOgjiqJQc+Qk9vpGHM3NGIzSK9AV+pAgVBoN1vJqzGWVNF8u8nRIQggh\nxIBxQ8lAeno6cXFxxMbGsn79+g7XWblyJbGxsUybNo2srKxr1q2uriYpKYnx48czZ84cTCZTu+3l\n5+czZMgQXnvttRsJXYg+H6vZdKnIdWec8paJwyEycbgrVBoNupAgrFU1KHYHNUdO9XkMMq5XXA9p\nL6KrpK0Ib9DtZMDhcLBixQrS09PJzs5m27ZtnD17tt06aWlp5ObmkpOTw6ZNm1i2bNk166amppKU\nlMSFCxdITEwkNTW13TZXr17Nvffe292whfCYmiMnUewOrFUmdC1Xu0XXGMJCUJyuicS1J8/haDJ7\nOiQhhBBiQOh2MnD06FFiYmKIjo5Gp9OxcOFCdu3a1W6d3bt3k5KSAsCsWbMwmUyUlpZ2WrdtnZSU\nFHbu3One3s6dOxk7diwTJ07sbthCuPXlWE1Hk5m6k+ewVtagOJ0YZOLwddH4+6Lx83VNJLbZMGX2\n7URiGdcrroe0F9FV0laEN+h2MlBUVERUVJS7HBkZSVFRUZfWKS4uvmrdsrIyjEYjAEajkbKyMgAa\nGhp49dVXeemll7obshAeY8r8CqfdjqW8ynViKxOHr4tKpcJgDMHR1Iy9oYmajBPyRGIhhBCiB3Q7\nGVCpVF1arytf2IqidLg9lUrlXv7SSy/x3HPP4efnJycBokf01VjN1onDjoYmHE3NGMJCuvz3I76h\nHz4MlVqNtawKc1klTZf6biKxjOsV10Pai+gqaSvCG2i7WzEiIoKCggJ3uaCggMjIyE7XKSwsJDIy\nEpvNdsXyiIgIwNUbUFpaSnh4OCUlJYSFhQGuYUl///vfeeGFFzCZTKjVanx9fVm+fHm7fS5fvpxR\no0YBEBgYyJQpU9x/bK3dcVKWcl+WEyKiMZdWcPR8Nramer4TMgWArJJ81+9HjJJyF8onyoswa6zE\nV9XgO3okH2/eRujdt3r8+EpZylKWspSl3Bvl1p/z813fh0uWLKE3qJRuXma32+1MmDCBffv2MXLk\nSG655Ra2bdtGfHy8e520tDQ2bNhAWloaGRkZrFq1ioyMjE7rvvDCC4SEhLBmzRpSU1MxmUxXTCL+\n5S9/SUBAAKtXr263fN++fcyYMaM7L0cMQgcOHHD/4fWmwq3/HzVfnqY28yt0w4fhPzbq2pVEh+wN\nTdSfuYBfdCS+keGM/4/lffKshr5qK2JgkPYiukrairgemZmZJCYm9vh2td2uqNWyYcMG5s6di8Ph\nYPHixcTHx7Nx40YAli5dyvz580lLSyMmJgZ/f3/efffdTusCrF27lgULFvDOO+8QHR3Njh07euBl\nCuEZ9obGb5447HRiMA73dEj9mnaIHxp/1xOJDeHDMR0/w/Dv3uzpsIQQQoh+q9s9A95IegaEt6n4\nJIOytM+oO3kONGqGTh7v6ZD6PUt5FU0XCwiYFIv/mChiXlgiczCEEEIMeL3VMyBPIBailyiKQk3G\nCex1DTiazdIr0ENan0hsKavEUllNY+5lT4ckhBBC9FuSDIhBq+0End7QcD4Pa3UtlrJKVFqtPHG4\nh6g0GvTDh2GrqkWx2ak+fKLX99nbbUUMLNJeRFdJWxHeQJIBIXpJzeEsFKsda3Ut+tBgVGr5c+sp\nBuNwFMWJpbyK+jM52Ex1ng5JCCGE6Jfk7EQMWr15BwebqY76sxexVFSBomAIC+61fQ1GGj8ftEMD\nsJRXoTgdVGf0bu+A3O1DXA9pL6KrpK0IbyDJgBC9oPpQForTgaWsCm1gABpfH0+HNOAYwkNwWqzY\nauqoyTiJ0273dEhCCCFEvyPJgBi0emusptNmp/rICazVtTitVpk43Et0wwJR6/VYyiqxNzZRd+p8\nr+1LxvWK6yHtRXSVtBXhDSQZEKKH1WZl42gyYymtRG3Qoxs21NMhDUgqlQq9MQRbbQPOZjPVBzM9\nHZIQQgjR70gyIAat3hirqSgKVQeO42hsxl7fgME4XO6B34sMYcGgAnNZJU35xTQXlPTKfmRcr7ge\n0l5EV0lbEd5AkgEhelDTxQLMJeVYSitArUYvE4d7lVqnQx8ShLWiBhxOqqR3QAghhLgukgyIQas3\nxmpWHcxEsdmxVpowhAaj1mp7fB+iPUN4KIrDgaWimroTZ7HXN/b4PmRcr7ge0l5EV0lbEd7ghpKB\n9PR04uLiiI2NZf369R2us3LlSmJjY5k2bRpZWVnXrFtdXU1SUhLjx49nzpw5mEwmAI4ePUpCQgIJ\nCQlMnTqV7du330joQvQ4a3Ut9WdyXLe7VJwycbiPaIf4oQ3wx1JagdPuoPqQ9A4IIYQQXdXtZMDh\ncLBixQrS09PJzs5m27ZtnD17tt06aWlp5ObmkpOTw6ZNm1i2bNk166amppKUlMSFCxdITEwkNTUV\ngClTpnD8+HGysrL4+OOP+clPfoLD4ehu+EL0+FjN6kOZLbcTrXTdTtRPbifaVwzhoTjMFmw1tVQf\nysJptfXo9mVcr7ge0l5EV0lbEd6g28nA0aNHiYmJITo6Gp1Ox8KFC9m1a1e7dXbv3k1KSgoAs2bN\nwmQyUVpa2mndtnVSUlLYuXMnAL6+vqhbnuDa3NxMYGAgGo2mu+EL0aMcZgs1R05irarFabVhCJde\ngb6kCw5EbdBjLinH3tSM6fgZT4ckhBBC9AvdTgaKioqIiopylyMjIykqKurSOsXFxVetW1ZWhtFo\nBMBoNFJWVuZe7+jRo0yaNIlJkybx29/+truhCwH07FjNmiMncZgtmEvKUfsY0AXJ7UT7kkqlwhAe\nir2+EXtDE1WfH0NRlB7bvozrFddD2ovoKmkrwht0e3ZjV2+X2JUvZEVROtyeSqVqt/yWW27hq6++\n4ty5c9xzzz3ceeedBAYGtquzfPlyRo0aBUBgYCBTpkxxd8O1/tFJWcoAp0+f7pHt3TZ7NlVfHONY\nzjmayouZNWUaKpWKrJJ8ABJGuNqjlHu3nO1ooLHZxIySCrRD/Njz1x34RUd4TXuTspSlLOVvl1t5\nSzxS9q5y68/5+a7vuyVLltAbVEo3L59lZGTw0ksvkZ6eDsC6detQq9WsWbPGvc4zzzzDnXfeycKF\nCwGIi4vjs88+Iy8v76p14+Li+PTTTwkPD6ekpIS77rqLc+fOXbH/xMREXn31VW666Sb3sn379jFj\nxozuvBwhus10/AyFH3xIw9mvsTeZCUyIR6WWG3V5QtPlYiylFQROjydgYgxjnlnk6ZCEEEKIHpGZ\nmUliYmKPb7fbZywzZ84kJyeHS5cuYbVa2b59O8nJye3WSU5O5r333gNcyUNQUBBGo7HTusnJyWze\nvBmAzZs388ADDwBw6dIl7HY7AJcvXyYnJ4fY2Njuhi9Ej1AUhcpPj+JobMZWW48hfLgkAh7k0zJX\nw1JaQePX+b32EDIhhBBioOj2WYtWq2XDhg3MnTuXiRMn8uijjxIfH8/GjRvZuHEjAPPnz2fs2LHE\nxMSwdOlS3nrrrU7rAqxdu5Y9e/Ywfvx49u/fz9q1awFXN8n06dNJSEjgkUceYdOmTQwdKuOyRfd9\nu5u2OxrOXcRcWoG5uByVWo3BGNIDkYnuUhv06IODsJRXo9gdVHxypEe22xNtRQwe0l5EV0lbEd5A\neyOV582bx7x589otW7p0abvyhg0bulwXIDg4mL17916x/PHHH+fxxx+/gWiF6HmVnx3FabFirTZh\nMA6Xh4x5AcPIMKxVNVhKK6g7fR5zaQU+4aGeDksIIYTwSjKeQQxarRN1uqvpcjGNX+djKakAwGeE\nnHB6A62/L7phgZhLK8HhpHL/jfcO3GhbEYOLtBfRVdJWhDeQZECIbqrYewjFZsdSUY2pEjfcAAAg\nAElEQVQ+JAi1Qe/pkEQLnwgjit2OuayS2hNnsVbWeDokIYQQwitJMiAGrRsZq9mUX0L9ua8xl1Sg\nOJz4jDT2YGTiRmmH+KENDMBSUoHisFP56Y31Dsi4XnE9pL2IrpK2IryBJANCdEPFnoOuXoGySvQh\nQWj8fDwdkvgWnwgjTpsNS3k1NV+exmaq83RIQgghhNeRZEAMWt0dq9lc8K1egQjpFfBG2gB/tAH+\nmEvKUewOKj892u1tybhecT2kvYiukrYivIEkA0Jcp/I9h9y9ArqQQOkV8FIqlQqfkUbX3Z4qa6g5\nclJ6B4QQQohvkWRADFrdGavZXFBC/dlcd6+Ar/QKeDVtUACaIX40F5bitFop33OwW9uRcb3iekh7\nEV0lbUV4A0kGhLgO5R8f/FavgK+nQxKdUKlU+EaNwGm1YimrwvTlGSwV1Z4OSwghhPAakgyIQet6\nx2o2fp3fbq6A9Ar0D7rAALSBATQXlaHY7ZT/64vr3oaM6xXXQ9qL6CppK8Ib3FAykJ6eTlxcHLGx\nsaxfv77DdVauXElsbCzTpk0jKyvrmnWrq6tJSkpi/PjxzJkzB5PJBMCePXuYOXMmU6dOZebMmXzy\nySc3EroQ10VRFEo//BSnxYqlpAJ96DDpFehHfKNGuJ47UFJO7clzNBeVeTokIYQQwit0OxlwOBys\nWLGC9PR0srOz2bZtG/8/e/ceHlV1L/7/PbdkMplcyB2SQIAEEi5yqYpW+62UxmulVj0I/R7Nr0pV\neBCxtkLrOX3aPlXCOba1Su0D32ORaovQ0x6gbUxVPF5QLkIiIAkQIPfL5DKZZO7X/fsjMCUSkhBI\nZpL5vJ6Hh6ydtfb+zLDYM5+919qrsrKyV52SkhJOnz5NVVUVmzdvZsWKFQO2LS4uprCwkFOnTrFo\n0SKKi4sBSE1N5W9/+xtHjx5l69atPPjgg0MNXQjg8sZqdh85gbO+GWd9C4oKYrIyhjEycbVpjQZ0\nSQk9d3W8Plrf+vCy2su4XnE5pL+IwZK+IsLBkJOBgwcPkpubS05ODjqdjqVLl7Jr165edXbv3k1R\nUREACxYswGKx0NLS0m/bC9sUFRWxc+dOAObOnUtGRs8XsBkzZuB0OvF6vUMNX4hBC/h8mN76AL/d\niae9E31Giqw2PArFZGWg+AO4mlqxnjyL/UxdqEMSQgghQm7IyUBjYyPZ2dnBclZWFo2NjYOq09TU\ndMm2JpOJ9PSesdjp6emYTBffzv/zn//Ml770JXQ63VDDF2LQYzU793+Gx9yFs64JlVZD9IS0YY5M\nDAeNIYao1HG4W9oJuDw079qDEggMqq2M6xWXQ/qLGCzpKyIcDDkZUKlUg6qnKMqg6vS1P5VKddH2\n48ePs27dOjZt2jS4QIW4An6Hi7Z3PsFnseLtsqLPTEOt1YY6LDFEMVkZKCpw1DXham6lc/+RUIck\nhBBChNSQv9VkZmZSX18fLNfX15OVldVvnYaGBrKysvB6vRdtz8zMBHruBrS0tJCRkUFzczNpaWm9\n6t177728/vrrTJ48uc+4Vq5cycSJEwFISEhg9uzZwcz7/Ng8KUsZ4Le//e2A/aNj7yGm2l046po4\n7unGEEhkPj3Km3uGmcwbP1HKo6icn5mOq76ZQ1Un0L3awgNz8tHGxvTbXy4c1xsu/VfK4VuW/iLl\nwZbPbwuXeKQcXuXzP9fV9Xx+LV++nOGgUgZz6b4PPp+P6dOns2fPHiZMmMD111/Ptm3bKCgoCNYp\nKSlh48aNlJSUsH//ftasWcP+/fv7bfvMM8+QnJzM2rVrKS4uxmKxBP/+6le/yk9/+lPuueeePmPa\ns2cP8+fP7/N3QnzR3r17g//x+uKsb+bsy2/gam7FUdNAbF4OUcmJIxihGA5KIED3kZOo1Grir5lG\n0k3zmfCtW/ttM1BfEeJC0l/EYElfEZejrKyMRYsWXfX9DnmYkFarZePGjdx2223MmDGDBx54gIKC\nAjZt2hQcwnPnnXcyZcoUcnNzeeyxx3jllVf6bQuwbt063nnnHaZNm8Z7773HunXrANi4cSNnzpzh\npz/9KfPmzWPevHm0t7df6esXEay/E7ASCND0P+8QcHtw1jejTYhDl5QwgtGJ4aJSq4mZNAG/04nb\n1EHnviO4mlr7bSMf1uJySH8RgyV9RYSDId8ZCEdyZ0BcLeZ95TT95W3sVbV4OruInz0dTUx0qMMS\nV4miKNhOnMVvd5AwpwBjXg45K7896LlQQgghxEgLuzsDQox2F47Ju5DPZsf01of4uqx4OjrRj0+T\nRGCMUalUGCZlovgDOGqbsNc0YP6k/JL1L9VXhOiL9BcxWNJXRDiQZECIL2jZ/b/47Q4c1Y2oo6PR\nZ8qjRMcijUGPfkIannYzXks3ppL38Zi7Qh2WEEIIMaIkGRARq6+xmt3HTmIpP46rqRW/y4VhciYq\ntfw3Gav0meloYvQ4zjbgd7ho+nNpn49DlnG94nJIfxGDJX1FhAP5liPEOT6rnab//gd+mwNno4mo\nlHHoEuNDHZYYRiq1GsOUbAJeL876ZmynarB8eizUYQkhhBAjRpIBEbEuHKupKApN/12Kz2bHfqYO\ntU5LTE5mCKMTI0UbF0t0RipuUwe+bhstf30Pr6W7Vx0Z1ysuh/QXMVjSV0Q4kGRACMDy6TG6K07j\nqGvG73RhmDpRVhqOIDFZGaj1UdjP1OOzOWj4w19R/P5QhyWEEEIMO0kGRMQ6P1bT3WamZfcefF02\n3C3tRGekokuIC3F0YiSpNGpip04k4PHgqK7HXtNA6z8uXkVWiMGQ/iIGS/qKCAeSDIiIFnB7qP/9\nTnw2R8/woJhoYrLHhzosEQLauFhisjLwdFhwm9pp+9/9WCvPhDosIYQQYlhJMiAi1kcffUTjn97C\n1dyK/XQtAZ+P2KkTUWnkv0Wkip6Qhi4xHmdNE367k8Y3/463yyrjesVlkf4iBkv6iggH8q1HRKzu\noyfpOnICZ30L3i4rhpwstEZDqMMSIaRSqTBMzQadBntVDT6rnfrf7yTgk/kDQgghxqYrSgZKS0vJ\nz88nLy+PDRs29Fln9erV5OXlMWfOHMrLywdsazabKSwsZNq0adx6661YLJbg9oULFxIXF8cTTzxx\nJWELge10LTm1nXg6LLiaTESnpxCdlhTqsEQYUOt0xOZOwu/2YDtdi6O2icn1nX2uPyBEX2QcuBgs\n6SsiHAw5GfD7/axatYrS0lIqKirYtm0blZWVveqUlJRw+vRpqqqq2Lx5MytWrBiwbXFxMYWFhZw6\ndYpFixZRXFwMgF6v5+c//zkvvPDCUEMWAgBXUyv1W/8Hn92B42w9GmMsMZMmhDosEUZ08UZiJk7A\n29mFs66RrqMnaX3rw1CHJYQQQlx1Q04GDh48SG5uLjk5Oeh0OpYuXcquXbt61dm9ezdFRUUALFiw\nAIvFQktLS79tL2xTVFTEzp07ATAYDNx0001ER0cPNWQh8HRYqP2vP+HtsrLv04OgVmOcliOrDIuL\n6MenEp2Riqu5jYPHj9H2v/vpPHAk1GGJUUDGgYvBkr4iwsGQvwE1NjaSnZ0dLGdlZdHY2DioOk1N\nTZdsazKZSE9PByA9PR2TydRrnyqVaqghiwjns9qp/a8deMwWbCfOogQCGPOnoI7ShTo0EaZiJk1A\nNy4BV0sb3s5umv78Nl1HT4Y6LCGEEOKqGfKqSoP9Uj6YcbaKovS5P5VKddlf/leuXMnEiRMBSEhI\nYPbs2cExeeczcClHXtlnd/KXf1+P29RBrsWL3+1Bnz2eY91tzIvt6S/lzXUAzBsvZSn/szw3dyJz\nPR72f1ZGzMTx8Abwf+/mmLUdCI/+LeXwKt98881hFY+UpSzl0Vk+/3NdXc/n0fLlyxkOKmWIs+L2\n79/PT37yE0pLSwFYv349arWatWvXBus8/vjj3HLLLSxduhSA/Px8PvjgA6qrqy/ZNj8/n/fff5+M\njAyam5tZuHAhJ06cCO5z69atHDp0iJdffvmimPbs2cP8+fOH8nLEGObttlH7/3bgajJhO1mDt9tK\nbF4OUUkJoQ5NjBIBjxdr5RkUjxfj9CnoEuLI+r93kzAnP9ShCSGEiBBlZWUsWrToqu93yMOErr32\nWqqqqqipqcHj8bB9+3YWL17cq87ixYv5/e9/D/QkD4mJiaSnp/fbdvHixWzduhXo+eJ/zz339Nqn\nPNFDXA5Ph4XqV/6Aq9GE7UQ13q5uDJOziEpKCF75FWIgRzqaiSuYiipKh+3kWbxd3TT84a9Yyo6H\nOjQRhi68qidEf6SviHCgHXJDrZaNGzdy22234ff7eeSRRygoKGDTpk0APPbYY9x5552UlJSQm5tL\nbGwsW7Zs6bctwLp161iyZAmvvvoqOTk57NixI3jMnJwcrFYrHo+HXbt28fbbb5OfL1fmRN9czW3U\n/r9zcwROnsVndxKbO4molHGhDk2MQuooHXEFU7FWnsF24izG6VNo2PY3PO2dpBbeJPOZhBBCjEpD\nHiYUjmSYkDiv67NKGne8hc/uwFZ5Br/bQ2zeJKLGydAgcWUCHi+2yjMEXG4Mk7OJSksiYU4+mUvu\nlMnoQgghhs1wDRMa8p0BIcKR4vdj+vsHtH/0Kb5uO/aqmuBTg3TxxlCHJ8YAdZSOuJl52KpqsJ+t\nw+90gQIecxfZ375b7jwJIYQYVeTh6mLM8HRYqNm0nfaPPsXd0oa18jRo1MTNzO0zEZA5A2KwvthX\nVFoNxvwpRKen4GpuxXaqGkd1A2defI3Og0dlblOEk3HgYrCkr4hwIHcGxKinBAJ07D1Ma+lH+J0u\nHNUNeDo60Y1LIHbqRFRaTahDFGOQSqXCMDkLdYweZ20j3UdPEDt1Io1/egtrxWkm3H8bWmNsqMMU\nQggh+iXJgBjVnI0mmv/yDxx1zXg7u3FU1xPw+tBnj0c/Ia3fSZ3nnycvxED66yv6jBS0RgP2M3VY\nK8+iH58CgQD2M3WkFt5E0pfnodbKqTaSnH9WuBADkb4iwoF8QolRydPeSevbe7GUV6B4fThqGvF0\ndKIxxBA3bTJaoyHUIYoIojUaiJ81DWddE67mNrydVmImTaDlr+/Ruf8IGd+4BWPBVHnikBBCiLAj\ncwbEqOJuM9P0l7ep+s//wnLoc1wNJro+q8RjtqDPyiBuVt6gEwGZMyAGazB9RaVRY5ichTF/CgoK\ntpNnsZ04i7Ouidotf+bsr7fSdeQESiAwAhGLUJJx4GKwpK+IcCB3BkTYUxQF28lqzHsPYz15FgIB\n3K1mXI0mAl4vunEJxGSPR2PQhzpUIdAlxhN/jRF3SzuuRhNdR08QnTKOgNONs9FEdEoS426cS+L8\nGTKnQAghRMjJOgMiLCmK0vNFqryCriMn8HZZCXi8eEztuFrNKF4v2ngjMdnj0cbJFyoRngJeL67G\nVtytHRBQ0CUloB+fijYuFpVaTdyMXBLnz8A4bTLq6KhQhyuEECKMyToDYszzu9zYz9RhO1WN7WQ1\nng4LBAJ4u2x42s14zF2ggG5cPNEZKWjjjTIGW4Q1tU6HIScTfWYa7pZ23C3tWM0WNDF6olKTCLg8\ndH9+CrVWS2zuJOJmTA2uki19WwghxEi4omSgtLSUNWvW4Pf7Wb58OWvXrr2ozurVq3nrrbcwGAy8\n9tprzJs3r9+2ZrOZBx54gNraWnJyctixYweJiYkArF+/nt/97ndoNBpeeuklbr311isJX4RQwOfD\n096Jq9GEo7YpOPFSCQTAH8DbZcVr6cZjtqD4/Ki0WqLTU4hOT0ETE31VYihvrpMnColBudK+otbp\niDn3hCtPhwVPmxlnXRPO+mZ0cUZ04+Lx2RxYT5wBQBdnxDA5k5hJmejHp6KfkI42NuZqvRwxzPbu\n3StPiRGDIn1FhIMhJwN+v59Vq1bx7rvvkpmZyXXXXcfixYspKCgI1ikpKeH06dNUVVVx4MABVqxY\nwf79+/ttW1xcTGFhIc888wwbNmyguLiY4uJiKioq2L59OxUVFTQ2NvL1r3+dU6dOoVbLHOhwpCgK\nAacbr9WGt7Mbb2cXHnMXng4LblM7nvbO4ERKxefHb3Pgsznwdlnx2eygKKg0GnTj4olKHoc2IQ6V\n+upeKa3qMEkyIAblavUVlUZDdFoy0WnJ+J0uPG2deDu7cNQ2Qm0jGr0ebXws2ngj7jYzXUdPBtvq\nEuKITksmKjmRqJRxRCUloE2IR5dgDA47EuHh2LFj8gVPDIr0FREOhpwMHDx4kNzcXHJycgBYunQp\nu3bt6pUM7N69m6KiIgAWLFiAxWKhpaWF6urqS7bdvXs3H3zwAQBFRUXccsstFBcXs2vXLpYtW4ZO\npyMnJ4fc3FwOHjzIDTfcMNSXEDGC00IUpecLuAIEAj3bA8q5vwMogQCKP4Di9/f87PP3/PH3/B3w\nelE8XgJeHwGPl4DbQ8Dtwe9yE3C58dkd+B0u/A4nvm47AZ+vdyCBAAG3F7/T1fPnXF2/001PUKCJ\njekZU50QN+xfcGwe97DtW4wtw9FXNDF6YiaOJ2biePwuN97Obnxd1p6EubUDAJVWizY2Bo0hBo9B\nj7OhBY0+GpWu96lbpVKjiY3pqRsbgybWgEYfjSYmGrU+GnV0FGqdFnV0NGqdBpVWi0qnRa3TotJo\nUGk1PX+r1ag0alCre5Jvlbpnm1oFajWo+Of/SZVKhjJdQldXV6hDEKOE9BURDoacDDQ2NpKdnR0s\nZ2VlceDAgQHrNDY20tTUdMm2JpOJ9PR0ANLT0zGZTAA0NTX1+uJ/fl9f9PkPNgz1JYmhOJ9A+PwE\nfH4Unw/F5yPg9V2QOPQkDQGPj/Nf+i+5O5cHt6sDt6lj2EN3tZiw+I8N+3HE6DeSfeXCZzooPl/P\nkLkua686Kq0GdVQU6ijduT9RqM59yVfrtD1f9jXq4Bd9MbJayz7m8w75LBIDk74iLsuywmHZ7ZCT\ngcFeERrMw4oURelzf6oBrjyFxVWpEXkWUz8HUfr5vfKF97/Xz6D0VOhpriiA0vNXIHCuGAjeOei5\no6Cg+AO97iIwwDPT1eeuPhIbfouAtbf6iU5NCnUYYhQI975yPgkHN/4v/lKluuBq/7kr/6qeq/0q\ntRrUqn9e5Vd94WfouRug6rkrcOE+//njP+tdbBC/G0kjdMgWq1ztFYMjfUWEgyEnA5mZmdTX1wfL\n9fX1ZGVl9VunoaGBrKwsvF7vRdszMzOBnrsBLS0tZGRk0NzcTFpa2iX3db7NeTabDeMwZU2ih+oL\nf49m6/j/Qh2CGCXGYl9RGKFrGRHo+8sK8YQ6CDEqSF8Rl8Nmsw3LfoecDFx77bVUVVVRU1PDhAkT\n2L59O9u2betVZ/HixWzcuJGlS5eyf/9+EhMTSU9PJzk5+ZJtFy9ezNatW1m7di1bt27lnnvuCW7/\n9re/zfe+9z0aGxupqqri+uuv73W8b37zm0N9OUIIIYQQQkScIScDWq2WjRs3ctttt+H3+3nkkUco\nKChg06ZNADz22GPceeedlJSUkJubS2xsLFu2bOm3LcC6detYsmQJr776avDRogAzZsxgyZIlzJgx\nA61WyyuvvBIew4SEEEIIIYQYpcbUCsRCCCGEEEKIwRszD6YuLS0lPz+fvLw8NmyQmfmRqL6+noUL\nFzJz5kxmzZrFSy+9BPQsZFdYWMi0adO49dZbsVgswTbr168nLy+P/Px83n777eD2w4cPM3v2bPLy\n8njyySdH/LWIkeH3+5k3bx533303IH1FXJrFYuH++++noKCAGTNmcODAAekvok/r169n5syZzJ49\nm29/+9u43W7pKyLo4YcfJj09ndmzZwe3Xc3+4Xa7eeCBB8jLy+OGG26gtrZ24KCUMcDn8ylTp05V\nqqurFY/Ho8yZM0epqKgIdVhihDU3Nyvl5eWKoiiK1WpVpk2bplRUVCg/+MEPlA0bNiiKoijFxcXK\n2rVrFUVRlOPHjytz5sxRPB6PUl1drUydOlUJBAKKoijKddddpxw4cEBRFEW54447lLfeeisEr0gM\nt1/84hfKt7/9beXuu+9WFEWRviIu6aGHHlJeffVVRVEUxev1KhaLRfqLuEh1dbUyefJkxeVyKYqi\nKEuWLFFee+016Ssi6MMPP1TKysqUWbNmBbddzf7xm9/8RlmxYoWiKIry5ptvKg888MCAMY2JOwMX\nLoCm0+mCi5iJyJKRkcHcuXMBMBqNFBQU0NjY2Gvxu6KiInbu3AnQ50J2Bw4coLm5GavVGpyg/tBD\nDwXbiLGjoaGBkpISli9fHnwEr/QV0Zeuri4++ugjHn74YaBn3ltCQoL0F3GR+Ph4dDodDocDn8+H\nw+FgwoQJ0ldE0Fe+8hXGjRvXa9vV7B8X7uu+++5jz549A8Y0JpKBSy1uJiJXTU0N5eXlLFiwoN+F\n7C58HO6Fi+JduD0zM1P60xj01FNP8Z//+Z+oL1jlWvqK6Et1dTWpqal85zvfYf78+Xz3u9/FbrdL\nfxEXSUpK4umnn2bixIlMmDCBxMRECgsLpa+Ifl3N/nHhd+LzFy7MZnO/xx8TyYA8VUhcyGazcd99\n9/HrX/+auLi4Xr8baCE7ERn+9re/kZaWxrx58y65MKL0FXGez+ejrKyMlStXUlZWRmxsLMXFxb3q\nSH8RAGfOnOHFF1+kpqaGpqYmbDYbb7zxRq860ldEf0LRP8ZEMjCYBdBEZPB6vdx33308+OCDwTUq\nzi9kBwy4kF1WVhaZmZk0NDT02v7FBe7E6PbJJ5+we/duJk+ezLJly3jvvfd48MEHpa+IPmVlZZGV\nlcV1110HwP33309ZWRkZGRnSX0Qvhw4d4stf/jLJyclotVruvfde9u3bJ31F9OtqfPac/96bmZlJ\nXV0d0HMho6uri6SkpH6PPyaSgQsXQPN4PGzfvp3FixeHOiwxwhRF4ZFHHmHGjBmsWbMmuP38QnbA\nRQvZvfnmm3g8Hqqrq4ML2WVkZBAfH8+BAwdQFIXXX3892EaMDc8//zz19fVUV1fz5ptv8rWvfY3X\nX39d+oroU0ZGBtnZ2Zw6dQqAd999l5kzZ3L33XdLfxG95Ofns3//fpxOJ4qi8O677zJjxgzpK6Jf\nV+Oz5/zCuxfu67//+79ZtGjRwAFc8bToMFFSUqJMmzZNmTp1qvL888+HOhwRAh999JGiUqmUOXPm\nKHPnzlXmzp2rvPXWW0pHR4eyaNEiJS8vTyksLFQ6OzuDbZ577jll6tSpyvTp05XS0tLg9kOHDimz\nZs1Spk6dqjzxxBOheDlihLz//vvBpwlJXxGX8tlnnynXXnutcs011yjf+ta3FIvFIv1F9GnDhg3K\njBkzlFmzZikPPfSQ4vF4pK+IoKVLlyrjx49XdDqdkpWVpfzud7+7qv3D5XIp//Iv/6Lk5uYqCxYs\nUKqrqweMSRYdE0IIIYQQIkKNiWFCQgghhBBCiMsnyYAQQgghhBARSpIBIYQQQgghIpQkA0IIIYQQ\nQkQoSQaEEEIIIYSIUJIMCCGEEEIIEaEkGRBCCCGEECJCSTIghBBCCCFEhJJkQAghhBBCiAglyYAQ\nQgghhBARSpIBIYQQQgghIpQkA0IIIYQQQkQoSQaEEEIIIYSIUJIMCCGEEEIIEaEkGRBCCCGEECJC\nSTIghBBCCCFEhNKGOoCr6e2330aj0YQ6DCGEEEIIIa66RYsWXfV9jqlkQKPRMH/+/FCHIUaJ4uJi\n1q1bF+owxCgQjn1FURS6Op0011tobbLidnkB8Lh9uF0+3G4fHrePgF8JtlGrVWg0atQaFWp1zx9U\nqvM7RFEgEFAIBAL4/Qp+X+CfB1RBlE5DVLSWKL0WvV6HWqNCpVKRmGxgfHYi6RPi0UXJBZlw7C8i\nPElfEZejrKxsWPY7ppIBIYQY69wuLw01nTTXd+GwuVEUcDo8uJxeXE5v8Mu/VqdGH6MjKlqLTqdG\nq9OgVvd8eR8sJaDg8wXwef14PH48bh92mweb1Q1AVLQWfYwOj8dHZ7udE0eaSc0wMmHSOFLSjZd1\nLCGEEKEhyYCIWHV1daEOQYwS4dBXujod1J0x09LYhRJQcDl9OOweXHYPAUVBrVahj9Gd+6NFrbny\nKWEqtQpdlAZdlIaY2J5tiqLg9fiDyUe3xUm3xUlUlAaDMQqv14+pqRuDMZqJU5KYMDERrS6y7haE\nQ38Ro4P0FREOJBkQEWv27NmhDkGMEqHqK4qiYG6zc+ZEG5YOO4GAgsPmwdbtwucLoFariInVYTBG\nERWtHZEr8SqVqmeoULSW+MQY/P4ATrsHh82DxezE0unEYIjC4/bhsLk5XdnKxKnJTJyaRFRUZHzk\nyLlFDJb0FREOVIqiKANXGx327NkjcwaEEKOeoih0tNo5e7IVS4cDvz+AtcuFw9pzFyAqWosxLpoY\ngw6VOnyG4ni9fuxWNw6bh0BAISpaQ1y8npjYKLRaDdlTk5iUmxwxSYEQQlxNZWVlMoFYCCHGOmuX\ni1Oft9DRasPnC2DrcmG3eUBRiDFGYYyLJio6PE/dOp2GxCQD8YkxOOw9dzA62uzoLC7iEvVUn2yj\nodrM5GmpTJySdFWGMgkx2iiKQmtrK36/P9ShiDCk0WhIS0sb0TlX4fmJIsQI2Lt3LzfffHOowxCj\nwEj0FbfLy+nKVppqLfj9AbotTuzWniTAEBdNXIIerXZ0fHlWq1UY46KJNUbhtHuxdrkwt9mxWlwk\nJMVw6vMW6qvN5M1MJ31C/JibaCznFtGf1tZW4uLiMBgMoQ5FhCGHw0Frayvp6ekjdkxJBoQQIoSU\ngEJ9tZnTFa14vX5s3S6sXS4CAYVYYxRxiTGjJgn4IpVKhcEYRUysDqejZ7Jxu8mGPkZHwrgYjh6s\nJznNSP6c8cQao0MdrhAjwu/3SyIgLslgMGCxWEb0mJIMiIglV+7EYA1XX+m2OKn8rImuTicupw+L\n2YHP6w9+WR4rz+xXqVQYYqOIMeiwW910W1yYmroxxkUTCCh0djiYPC2FyXkpY4Eb000AACAASURB\nVGLokJxbhBCjyaDOuqWlpeTn55OXl8eGDRv6rLN69Wry8vKYM2cO5eXlA7Y1m80UFhYybdo0br31\n1mAWZDabWbhwIXFxcTzxxBPB+k6nk7vuuouCggJmzZrFD3/4wyG9YCGECLWAP0DVcRMH3j+Lud2B\nuc1Ou8kKKKSkG0lJN46ZROBCKpUKY7yejMx4jHHR2KxuTI3d2LpdnKlsZf/7Z+nqdIY6TCGEiCgD\nJgN+v59Vq1ZRWlpKRUUF27Zto7KysledkpISTp8+TVVVFZs3b2bFihUDti0uLqawsJBTp06xaNEi\niouLAdDr9fz85z/nhRdeuCiWZ555hsrKSsrLy/n4448pLS294jdARK69e/eGOgQxSlzNvtJtcbL/\n/bNUn2o792W4C6fDQ3yinvQJ8ehjdFftWOFKrVGTmGwgbXwcGo3qXDJko6vTwcEPznK6spWAPzDw\njsKUnFvEWLdv3z4WLFgwYsdbsmQJ27dvH7HjRZoBhwkdPHiQ3NxccnJyAFi6dCm7du2ioKAgWGf3\n7t0UFRUBsGDBAiwWCy0tLVRXV1+y7e7du/nggw8AKCoq4pZbbqG4uBiDwcBNN91EVVVVrzhiYmL4\n6le/CoBOp2P+/Pk0NjZe8RsghBAjQQkonD3VxtmTbfi8fjrbHbicXqL1WsYlGyJuYS7oWcE4dXwc\ndqubrk4XpsZuEpMMnD3RSluzldnXZmKM14c6TCGGncPuweXwDtv+9QYdhtiofutkZ2cHJ/Pb7Xb0\nej0aTc956Ve/+hX33XdfsO6NN97IgQMHhi3eL9qxY8eIHSsSDZgMNDY2kp2dHSxnZWVd1AH6qtPY\n2EhTU9Ml25pMpuBM6fT0dEwmU6999vd0CYvFwl//+lfWrFkzUPhCXJKM6xWDdaV9xeX0cuxQA53t\ndhx2D5YOB4qikJgUQ2xc9Jh7ms7lOD90SB+jo7PDgbndjsPhIeBXOPD+WaZfM57MSYmj6j2Sc4u4\nXC6Hl0N7q4dt/9fePHnAZKC+vj7489y5c3nppZf4P//n/1xUz+fzodWOzJTT80thjab//6PRgMOE\nBvsPMJi1yxRF6XN/KpVq0Mfx+XwsW7aMJ598MnjH4UIrV66kuLiY4uJifvvb3/a6Xbt3714pS1nK\nUh7RcluzlX3vneajj/ay/8A+zG12tDoNHdaz1DZVBs99x0+Uc/zEP+dbRVr55JmjtHZWkZAUg9vp\n5eOPP+ZQ2UEqyhs5+mkD7//vh2Hx7yllKV+N8miyd+9eZs6cyUsvvURBQQGrV69m7969zJo1K1hn\nzpw5vPjii9x4441MmTKFVatW4Xa7+9zfH//4R26//XbWrl1LTk4OCxYs4MMPPwz+/u677+a5557j\n9ttvJzs7m5qaGu6++25ef/31YJ2tW7dyww03MHHiRG688UaOHj0KQHNzMw899BDTpk1j3rx5bN68\n+ZKvy2w2s2zZMiZNmsTXv/51nnvuOe68804A6urqSE5OJhD453DFL8bwxhtvcMMNNzBlyhTuv/9+\nGhoagr/70Y9+xPTp05k0aRI333xzcIj8O++8w4033sjEiROZOXMmGzdu7DO2rq6uYJ8pLi5m5cqV\nrFy58pKv5UoNuALx/v37+clPfhIcn79+/XrUajVr164N1nn88ce55ZZbWLp0KQD5+fl88MEHVFdX\nX7Jtfn4+77//PhkZGTQ3N7Nw4UJOnDgR3OfWrVs5dOgQL7/8cq94Hn74YeLj43nxxRcvilVWIBaX\nY+9eeRa4GJyh9BUloFBVYaKmqh2Px4+5zY7P6yc+UU9cgl6udPXDe+798nr9xCXoiU+MIdYYxZwF\nE4lLCP9hQ3JuEf1pampiwoQJvbaZ2+zDfmcgKTV20PUvvDOwd+9e7r33XlatWsUPf/hD/H4/hw4d\n4vHHH+fzzz8HepKBuLg4duzYgcFgYNmyZdx88808++yzF+37j3/8I2vWrOFnP/sZ3/3ud9m9ezdP\nPfUUR44cISEhgbvvvpu6ujp27NhBXl4egUCAe++9lyVLlvCv//qv7Ny5k2effZY//OEPzJ07l+rq\nanQ6HRMmTGDRokXcddddrFmzhsbGRr71rW/xwgsv8LWvfe2iOB555BHUajUvv/wytbW13H///Uyc\nOJG///3v1NXVMW/ePNra2lCre66bL168OBhDSUkJP/7xj9m2bRtTp07lV7/6Fe+88w6lpaXs2bOH\n5557jp07dxIfH09VVRXx8fGkp6dTUFDAli1buOGGG+ju7qampoZrrrnmotj66iMwfCsQD3hn4Npr\nr6Wqqoqamho8Hg/bt29n8eLFveosXryY3//+90BP8pCYmEh6enq/bRcvXszWrVuBni/+99xzT699\n9pWj/Nu//Rvd3d386le/GtqrFUKIEeB2+Tj8SQ01Ve3YrG7amq0oAYXUDCPxiTGSCAxAF6UhdXwc\nsXHRWLtctLVYsXa7OPDBWZrqRvb520IIUKvVrFu3Dp1Oh15/cUKuUqlYvnw5EyZMIDExke9973v8\n5S9/ueT+UlNTefzxx9FoNHzrW98iNzeXf/zjH8F9LVu2jOnTp6NWqy8akvT666/z5JNPMnfuXAAm\nT55MVlYWZWVldHR08P3vfx+tVsukSZN48MEH+4zD7/fzt7/9jXXr1qHX65k+fTpLly4d1CgXgC1b\ntrBmzRry8vJQq9U89dRTfP755zQ0NBAVFYXNZuPUqVMEAgHy8vKCw+J1Oh0nTpygu7ub+Pj4PhOB\nUBhw0JdWq2Xjxo3cdttt+P1+HnnkEQoKCti0aRMAjz32GHfeeSclJSXk5uYSGxvLli1b+m0LsG7d\nOpYsWcKrr75KTk5Or8khOTk5WK1WPB4PO3fu5J133sFoNPL8889TUFAQvPr/xBNP8PDDD1/1N0VE\nBrlyJwbrcvqKxezg6MF6nA4vnR12HDYP+hgdSSmGMfEM/ZGiVqsYl2wgWq+ls92Bqamb5FQjnx9u\noMvsYPrsjLB9P+XcIsaa5ORkoqL6n3OQmZkZ/DkrK4uWlpZL1h0/fnyvcnZ2dq/6F+7ri5qampg8\nefJF2+vr62lpaen1O7/fz5e//OWL6ra3t+Pz+Xodp79j9nWsH/3oR/z7v/97r+3Nzc185StfYfny\n5TzzzDPU19fzjW98g5/97GfExcWxdetWfvGLX/Czn/2MmTNn8uMf/5jrrrtu0McdLoOaAXLHHXdw\nxx139Nr22GOP9SpfatxTX20BkpKSePfdd/tsU1NT0+f2C8duCSFEuGmq66SivBmP20dHmw2vR4YF\nXSlDbBS6KA0drTbaWqwkjIuhvtqMzepmzvXZREWPzERGISLZYM5fFz7hsaGhgYyMjEvWbW5u7lWu\nr68Pjtcf6HiZmZmcPXv2ou1ZWVlMmjSJTz/9dMBYU1JS0Gq1NDY2MnXq1IviP79CtMPhwGg0AvR6\n0E1WVhY/+MEPej1h6UKPPvoojz76KO3t7Tz88MO8/PLL/OhHP2LevHm88cYb+P1+Nm/ezMMPP8yx\nY8cGjHe4hedlFSFGwGidzCVG3kB9RQkonPq8hc8PN+Kwe2ht7sbvC5CSLsOCrgadTkPa+HhiYnV0\ndToxt9kxt9k58MFZrF2uUId3ETm3iEijKAqvvvoqTU1NdHZ28stf/pJ77733kvXb2trYtGkTXq+X\nnTt3UlVVRWFhYa/9XcqDDz7Ixo0bOXLkCIqicPbsWRoaGvjSl76E0WjkpZdewul04vf7qaio6LUQ\n7nkajYZvfOMbbNiwAafTyalTp9i+fXvwXJ2SksL48ePZsWMHfr+fN954o9eF6u985zv88pe/DM51\n7e7uZufOnQCUl5dz6NAhvF4vMTExREdHo9Fo8Hq9/OlPf6K7uxuNRoPRaAw+ujXUJBkQQogr4PP6\n+exAXXB+QHurFY1GTdr4uIhYQGykqNUqklJiSRgXg8Puoa2lZ+XiTz+spq3ZGurwhBjTLvUkyAt/\nvv/++7nvvvuYP38+U6ZM4emnn77k/r70pS9x9uxZ8vLyWL9+PVu3biUxMbHf4533zW9+k6effppH\nH32USZMm8dBDD2GxWFCr1Wzbto1jx44xf/588vLyeOqpp7Ba+z4//Md//Afd3d3k5+ezcuVK7rvv\nvl5DoV588UVefvllcnNzOXnyZK9F1u666y6efPJJli9fzqRJk7jpppt47733ALBarTz11FNMnTqV\nuXPnkpyczBNPPAH0rJcwd+5cJk2axNatW4ND7kNtwKcJjSbyNCEhxEhyOb2U76vDanFiMTuwWd3o\nDTqSUmJRq+VuwHBxOjyY2xyo1SqS02KJ1uuYPjuDiVOTQx2aEAPq60kx4bDo2JXob12CL/rjH//I\nG2+8QUlJybDFMxQ/+clPaGtr4ze/+U2oQxnxpwnJYEshhBgCa5eL8n21OOwezG12XE7vucdgyvyA\n4RZjiCJt/Pl5BDaSUmM5cbQZp8PLtFnp8v6LUccQGzWsX9bFxaqqqvB4PMyYMYOysjL+8Ic/8NJL\nL4U6rJCQYUIiYsm4XjFYX+wrHa02Pv2wGrvNTVuLFbfTy7hkAwnjZH7ASDn/+FFdlJqOVhu2bje1\np9s5erAevz+0D5uQc4sQl3Y5C80OJ5vNRlFREdnZ2SxfvpxVq1b1+cCbSCB3BoQQ4jI011v4vKwR\nj8tHu8lGIKCQnG6U+QEhoNGoSUmPo7PdjsXswOfzA+D5pJa5CyaiiwqPyXlCjHWfffbZoOsuW7aM\nZcuWDWM0gzNv3jwOHToU6jDCgtwZEBFLngUuBut8X6k708GxQw24HF7aWnompclE4dBSq1UkpcZi\njI/G1u2m49yThj79qBqXc/jGYPdHzi1CiNFEkgEhhBiAoihUVZh6xqXbPbSbbGg06nPDVOTqc6ip\nVCoSk3qGaTntHjpabXRbnD1DuazuUIcnhBBhTZIBEbFkXK8YDCWg8IfXdlF9sg2btefKsy5KQ2qG\nEa1WTqHhJC5Bz7gUA26nl/YWK3arm08/qqbb4hzROOTcIvqjKEq/z9EXkS0U/UM+yYQQ4hICAYXP\nyxppa7Fi7XJh6XCgj9GRkm5ErZHTZziKNUaTnGbE6/XT2mLFYfdwaG8Nlg5HqEMTAoCEhATMZnOo\nwxBhymw2k5CQMKLHlAnEImLJuF7RH78/wNFPG2hr7iYrPZ+uTieG2CjGpRjC4kkY4tL0Bh0p6XHn\nHj1qJTU9jsMf1zD3hokkpxmH/fhybhH9MRqNuN1umpqaQh2KCEPR0dEYjcN/nrqQJANCCPEFPl+A\nIwfq6Gi1YenoWUwsNi6axCR5dOhoEa3XkpJupN1ko7Wlm9T0OMr31THn+mxSx8eFOjwR4ZKTZYE8\nET7kPreIWDKuV/TF5/VTvq+WDpMNc7sdm9VNU9tJSQRGoahoLanj41Choq3Fisvp4bODdZiauof1\nuHJuEYMlfUWEgwGTgdLSUvLz88nLy2PDhg191lm9ejV5eXnMmTOH8vLyAduazWYKCwuZNm0at956\nKxaLJbh94cKFxMXF8cQTT/Q6xuHDh5k9ezZ5eXk8+eSTQ3qxQgjRH6/XT9m+Wjrb7Jjb7ThsHuIT\n9cTGRUsiMErpdBpSxxtRq1W0m2y4nV6OHqynpaEr1KEJIURY6DcZ8Pv9rFq1itLSUioqKti2bRuV\nlZW96pSUlHD69GmqqqrYvHkzK1asGLBtcXExhYWFnDp1ikWLFlFcXAyAXq/n5z//OS+88MJFsaxY\nsYJXX32VqqoqqqqqKC0tvSpvgIhcMq5XXMjr8VP2SS2d7Q462mw47B4SxsUQnxjDzPx5oQ5PXAGt\nVkNKRhxqjYr2Fhsup5djhxporrcMy/Hk3CIGS/qKCAf9JgMHDx4kNzeXnJwcdDodS5cuZdeuXb3q\n7N69m6KiIgAWLFiAxWKhpaWl37YXtikqKmLnzp0AGAwGbrrpJqKjo3sdo7m5GavVyvXXXw/AQw89\nFGwjhBBXqicR6HniTEebDafDS2JSDHEJ+lCHJq4SrVZNanocGq2adlPPv/HnhxtpqhuehEAIIUaL\nfpOBxsZGsrOzg+WsrCwaGxsHVaepqemSbU0mE+np6QCkp6djMpl67fOLt+MbGxvJysoKljMzMy+K\nQ4jLJWM1BVyQCJiddLTacDm8JCYZMMb/MxE4fqK8nz2I0UKjVZOSYUSrU9PR2pMQHC+7+gmBnFvE\nYElfEeGg32RgsGNkB7M4gqIofe5PpVLJWFwhREhclAg4vYxLNmCMjx64sRiVNBo1KenDnxAIIcRo\n0e+jRTMzM6mvrw+W6+vre12h76tOQ0MDWVlZeL3ei7ZnZmYCPXcDWlpayMjIoLm5mbS0tH6DzMzM\npKGhoc99fdHKlSuZOHEi0LOwx+zZs4Nj8s5n4FKW8nl79+4Nm3ikPLLl99//kKrPW5g4YQYdrTY+\nrywjLl5PVk7PcMTzdwNm5s9jZv68XuUv/l7Ko6us0ahptVTR1ekEZpGcZmTHH//G5GkpfPPe24Er\n618333xzyPu3lKUs5dFfPv9zXV0dAMuXL2c4qJR+Luv7fD6mT5/Onj17mDBhAtdffz3btm2joKAg\nWKekpISNGzdSUlLC/v37WbNmDfv37++37TPPPENycjJr166luLgYi8USnEQM8Nprr3H48GFefvnl\n4LYFCxbw0ksvcf3113PXXXexevVqbr/99l7x7tmzh/nz51/N90cIMQb5vH4Of1LbM0fggjsCsXFy\nRyCS+P0B2k02fN4AyWlGYgw6Zl+bRUbWyK7+KYQQg1FWVsaiRYuu+n77HSak1WrZuHEjt912GzNm\nzOCBBx6goKCATZs2sWnTJgDuvPNOpkyZQm5uLo899hivvPJKv20B1q1bxzvvvMO0adN47733WLdu\nXfCYOTk5PP3007z22mtkZ2dz4sQJAF555RWWL19OXl4eubm5FyUCQlyuCzNvETl8vgBl++qwdDgw\ntw0uEZA5A2NTcMiQVh1MCo8darjidQjk3CIGS/qKCAf93hkYbeTOgLgcFw4REpHB7wtQvr8Wc6ud\njnY7TruHxKSYXpOF+3L8RLk8XnQM8/sDtLVYCfgUUjKMRMfomHN9Nmnj44e0Pzm3iMGSviIuR0ju\nDAgxlskJOLIE/AE+O1CH+dyCYs5z6wgMlAgAkgiMcRpNz2NH1doLFyZroN1kHdL+5NwiBkv6iggH\nkgwIIca8QEDhyKcNdLTaMLc7gguKyToC4jzNuXUIzq9U7HJ5+exAPeZ2e6hDE0KIYSXJgIhYMlYz\nMigBhc8PN9DW3I2lw4HD5iY+UX9ZiYDMGYgM59chUKlUtJusuF1eyvfVYjE7Lms/cm4RgyV9RYQD\nSQaEEGOWoigcL2+kpaELi9mJzeomLuHyEgERWbRaDakZRlRAe4sNt9NH2Se1dFucoQ5NCCGGhSQD\nImLJWM2xTVEUThxtpqnOQrfFha3bhTEumvhE/WUvdChzBiKLVqchJT0ORVFoM1lxOb0c/qQWW7dr\nUO3l3CIGS/qKCAeSDAghxqTTFa3UnzVj7XLRbXESa4wiISlGVjwXg6KL0pCSYUQJKD1zCBw9CYHD\n7gl1aEIIcVVJMiAilozVHLvOnmyj+lQbNqubrk4nhtgoEpMNQ04EZM5AZIqK0pKSbsTvC9DeYsVp\n93D44xpcTm+/7eTcIgZL+ooIB5IMCCHGlLozHZyuMOGwebB0ONAbdIxLGXoiICJbVLSWlPRYfD4/\n7SYrdqubwx/X4HH7Qh2aEEJcFZIMiIglYzXHnqa6Tk4cbcbp8GJutxOt15KcEnvFiYDMGYhs0Xod\nyalGvG4/7SYbtm43ZZ/U4vX6+6wv5xYxWNJXRDiQZEAIMSaYmro5XtaEy+nD3GYnKlpDcpoRlVru\nCIgrpzfoGJcai8fto6PVRlenk/J9dfh9gVCHJoQQV0SSARGxZKzm2NFusnH003rcLi8drTa0OjUp\naUbUVykRkDkDAsAQG8W4ZAMuZ8+dJ0u7nSMH6wj4eycEcm4RgyV9RYQDSQaEEKOapcPBkQN1uF0+\n2k02NFoVKelG1Bo5vYmrLzYumoSkGJx2D+YOB+0mG8cON6IElFCHJoQQQ6INdQBChIqM1Rz9rF0u\nyvbVnksErKhUKlLS49Bc5URA5gyIC8XF61ECCt0WF+pzXa1Cq2bGvAmoVCo5t4hBk74iwoEkA0KI\nUcludXP4kxrcLi9tJisAKRlGtFq5IyCGX1yCnkBAwdbtRq1WA51odRqmzUqXJ1cJIUaVAT81S0tL\nyc/PJy8vjw0bNvRZZ/Xq1eTl5TFnzhzKy8sHbGs2myksLGTatGnceuutWCyW4O/Wr19PXl4e+fn5\nvP3228HtW7ZsYfbs2cyZM4c77riDjo6OIb1gIc6TsZqjV8+KsDW47F7aWmwoAYWUdCM6nWZYjidz\nBsQXqVQqEsbFYDBG0W1xYut2U3u6nbMn2+TcIgZN+ooIB/0mA36/n1WrVlFaWkpFRQXbtm2jsrKy\nV52SkhJOnz5NVVUVmzdvZsWKFQO2LS4uprCwkFOnTrFo0SKKi4sBqKioYPv27VRUVFBaWsrKlStR\nFAWPx8P3v/99PvjgA44cOcI111zDxo0bh+P9EEKEOY/bx+GPa3DYPLSbrPh9fpLTjERFyY1OMbJU\nKhXjkg3EGHRYzA4cNg9nKlsxNXWHOjQhhBi0fpOBgwcPkpubS05ODjqdjqVLl7Jr165edXbv3k1R\nUREACxYswGKx0NLS0m/bC9sUFRWxc+dOAHbt2sWyZcvQ6XTk5OSQm5vLwYMH0Wq1jBs3DpvNhqIo\ndHd3k5mZedXfDBFZZKzm6OP1+in7pBZbt5t2kw2vpycRiNYPbyIgcwbEpahUKpJSY9HrtZjb7Tgd\nXuJ0E2mqswzcWEQ8+RwS4aDfZKCxsZHs7OxgOSsri8bGxkHVaWpqumRbk8lEeno6AOnp6ZhMJgCa\nmprIysrq1aahoQG1Ws2vf/1rZs2aRWZmJpWVlTz88MNDfc1CiFHI7wvw2f46ujqddLTa8Lh9jEuN\nRR+jC3VoIsKpVCqS0oxERWswt9lxOX0cL2uktVnuEAghwl+/l9MGOwlKUQZ+pJqiKH3uT6VS9Xsc\nlUpFd3c3q1ev5siRI0yePJknnniC9evX8+yzz15Uf+XKlUycOBGAhIQEZs+eHcy8z4/Nk7KUAX77\n299K/xgl5YA/wNZX/4cus4PxydNwOb2YzFV0uXTBq/bnx/UPR/nCOQMjcTwpj75y5anPUAIBUhPy\nOHhwHwlJMVScLOfBh+8hKdUYVv+fpBw+5fPbwiUeKYdX+fzPdXV1ACxfvpzhoFL6+Sa/f/9+fvKT\nn1BaWgr0TO5Vq9WsXbs2WOfxxx/nlltuYenSpQDk5+fzwQcfUF1dfcm2+fn5vP/++2RkZNDc3MzC\nhQs5ceJEcO7AunXrALj99tv56U9/CsCzzz7Lu+++C8CHH37Ihg0b+Pvf/94r3j179jB//vyr8saI\nsW/v3r3B/3gifCkBhWOHG2hp6KKzw4Hd6iZhXAxxCfoRi+H4iXIZKiQGxe8P8MknnzB10ixSx8cR\nExPFl26eRMI4Q6hDE2FIPofE5SgrK2PRokVXfb/9DhO69tprqaqqoqamBo/Hw/bt21m8eHGvOosX\nL+b3v/890JM8JCYmkp6e3m/bxYsXs3XrVgC2bt3KPffcE9z+5ptv4vF4qK6upqqqiuuvv54pU6Zw\n4sQJ2tvbAXjnnXeYMWPG1X0nRMSRE3D4UxSFyiPNtDR00dXpxG51E5egH9FEAGTOgBg8jUbNjTfe\niEqlor3FhsvpPTfPxRXq0EQYks8hEQ60/f5Sq2Xjxo3cdttt+P1+HnnkEQoKCti0aRMAjz32GHfe\neSclJSXk5uYSGxvLli1b+m0LPVf+lyxZwquvvkpOTg47duwAYMaMGSxZsoQZM2ag1Wp55ZVXUKlU\npKam8vzzz7Nw4ULUajU5OTm89tprw/i2CCFCTVEUqo6baKgx093lwtrlIjYumvjEkU0EhLhcWq2G\nlHQjbS1W2k1WUsfHcfjjWq77ymQMxqhQhyeEEL30O0xotJFhQuJyyO3Z8FZ9qo2q4yZsVjeWDgeG\n2CjGpRhCsqCTDBMSl+N8f/G4fbS12NBo1aRlxBEbH811X5ksk95FkHwOicsRkmFCQggRCnVnO6g6\nbsJh92DpcBBj0IUsERBiqKKitaSkx+L3+Wlvtfasmv1xDR63L9ShCSFEkCQDImLJ1Zjw1FRn4cSR\nZpwOL+Z2O9F6LUkpsSFNBOSugLgcF/aXaL2O5FQjXrefjlYbtm43Zftq8Xr9IYxQhAv5HBLhQJIB\nIUTYMDV1c7ysEZfTh7nNTlSUhuQ0Iyq13BEQo5feoGNcaixul4+OVhtdZief7a/D7wuEOjQhhJBk\nQESuC5/jK0Kvo9XGsU8bcLu8dLTa0OrUpKQZUYdBInDhOgNCDKSv/mKIjWJcsgGX00tnu53OdjtH\nDtYT8EtCEMnkc0iEA0kGhBAh19lh57P9dbhcXtpNNjRaFSnpRtQaOUWJsSM2LpqEcTE47B46Oxy0\nm6wcO9SAEhgzz/EQQoxC/T5aVIixTMZqhoeuTifl++pwu3y0m6yoVCpS0uPQhFEiIHMGxOXor7/E\nJehRFIVui4vz02A+L29k1vxMmSAfgeRzSIQDSQaEECFj63ZR9kkNLqeXthYrAKkZRrTa8EkEhLja\n4hL0BAIKtm43arUasKDVqMmfM14SAiHEiJNPXBGxZKxmaNmtbg593JMItLdYURSF1PQ4tDpNqEO7\niMwZEJdjoP6iUqlIGBdDrDGKbosTa5eL+mozpz43MYaW/hGDIJ9DIhzInQEhxIhzOjwc/rgGl91L\nW4sNv18hNcOILir8EgEhhoNKpSIx2YCi9AyVU6lU1J5uR6NVk1uQFurwhBARRJIBEbFkrGZouJxe\nDu2twWH30Gay4vf5SUmPIyo6fE9HMmdAXI7B9heVSsW4FAOKomAxO1Cpi4uCYgAAIABJREFUVJw9\n0YpGo2LytNRhjlKEA/kcEuFAhgkJIUaM2+Xj8Mc12K1u2k1WfF4/yWlGovXhmwgIMZxUKhVJqbHo\nY3R0dthx2D1UHTdRe7oj1KEJISKEJAMiYslYzZHlcfckAtZuN+0mG163n+RUI/oYXahDG5DMGRCX\n43L7i0qlIjk1lmi9FnObHafdw8ljzdSfNQ9ThCJcyOeQCAeSDAghhp3Hcy4R6HLRYbLicft6roYa\nwj8REGIkqNQqktOMREVr6Wi343R4qTzSRENNZ6hDE0KMcQMmA6WlpeTn55OXl8eGDRv6rLN69Wry\n8vKYM2cO5eXlA7Y1m80UFhYybdo0br31ViwWS/B369evJy8vj/z8fN5+++3gdo/Hw6OPPsr06dMp\nKCjgL3/5y5BesBDnyVjNkeH1+Cn7uJZui4uOVhtul4+klFhiYqNCHdqgyZwBcTmG2l/U6p7F9qKi\nNJjb7LicXio/a6KpThKCsUo+h0Q46DcZ8Pv9rFq1itLSUioqKti2bRuVlZW96pSUlHD69GmqqqrY\nvHkzK1asGLBtcXExhYWFnDp1ikWLFlFcXAxARUUF27dvp6KigtLSUlauXBl8zNpzzz1HRkYGJ0+e\npLKykq9+9atX/c0QQlxdXo+fsk9q6Op00tFqw+X0Mi7FgME4ehIBIUaSWq0iJc2ITqemo7XnDsHx\nsiaa6y0DNxZCiCHoNxk4ePAgubm55OTkoNPpWLp0Kbt27epVZ/fu3RQVFQGwYMECLBYLLS0t/ba9\nsE1RURE7d+4EYNeuXSxbtgydTkdOTg65ubkcPHgQgC1btvDDH/4weNzk5OSr9BaISCVjNYeX1+un\nbF8tFvMFiUCygVhjdKhDu2wyZ0BcjivtL/9/e/ceG1eZH3z8e86cuY/viS+xE7wbO9gmIYQNyfal\nVUEhwKaql4o2hFVpVpuokIjNonZL6CsqsaoKzh8rxDabiq2yNLt/QGjVJVRyLN6lyyVAEiBmF3Au\nDhknzvh+GXvu1+f9YzITmziODbbH9vw+kuN5zpxz5hnryTnn91x1k86SMheGWWewz08oGOOzjz0S\nECxCch8S88GkwYDH42H58uWZdFVVFR6PZ0r7dHV1XffY3t5eysrKACgrK6O3txeArq4uqqqqrjkm\n3Y3o6aef5lvf+hZbt26lr6/vK31hIcTsi8cSnHr/It7BIIP9qUCgsMSBM2/hBQJCZEMmIDD0TDD9\n2cceui+PZDtrQohFZtL5/Ka6LPpUVkxUSk14Pk3Tbvg58Xicy5cvc+edd/LTn/6U559/nh//+Mf8\n6le/umbf3bt3s2LFCgAKCgpYs2ZNpk9eOgKXtKTTjh07Nm/ys1jSGzf+Ea0fXOT9995jZCTEivJ6\nCkscXPS0AVf7U6drTxdC+pa6dfMqP5Ke3+mZLC91tWsZ6PFz/MQHFBTZSfui41Mg+//fJS1pSc9e\nOv360qVLAOzcuZPZoKlJnuSPHz/OM888Q0tLC5Aa3KvrOnv37s3s89hjj3HXXXexbds2AOrq6nj7\n7bdxu93XPbauro633nqL8vJyuru7ufvuuzlz5kxm7MBTTz0FwP33389PfvITNmzYQF5eHn6/H4DO\nzk6+853v8Nlnn43L75tvvsntt98+U38bIcQ0xaJXugYNBhnqT3VvKCx24MqXFgEhvqpEIslAj594\nPMmSstR0vKu/VUnF8sJsZ00IMYdOnTrFpk2bZvy8k3YTWr9+Pe3t7XR0dBCNRjl8+DCNjY3j9mls\nbMzU0B8/fpzCwkLKysomPbaxsZFDhw4BcOjQIR544IHM9ldeeYVoNIrb7aa9vZ0NGzagaRp//ud/\nzu9+9zsg9dB/yy23zOxfQuQc6as5s9KDhdNdg1KBgH1RBAIyZkBMx0yXF5NJZ0l5qsvQQO/VMQRd\nl2QMwUIn9yExH0zaTcgwDPbv3899991HIpFgx44d1NfX8+KLLwLw6KOPsmXLFpqbm6mpqcHpdPLS\nSy9Neiykav63bt3KwYMHqa6u5tVXXwWgoaGBrVu30tDQgGEYHDhwINOFaN++fTzyyCM88cQTlJaW\nZj5HCJF90WicU+9dHDdrkLQICDFz0gHBQI+fwT4/JaUuPj/lQSlF5U1F2c6eEGIBm7Sb0EIj3YSE\nmHvplYXT6whkZg2SwcJCzLhEIslAr594LElJqROb3Uz92mUs/2ZxtrMmhJhlWekmJIQQkwmHYnz4\nrlsCASHmiMmkszQz7WiA8JWVii+eH8h21oQQC5QEAyJnSV/NrycUjPLRu258I2EGen2ZBcUWYyAg\nYwbEdMx2edGvBARmi85Av59QIMrZT3u4cLZ/Vj9XzDy5D4n5QIIBIcS0BfwRPnzXjd8XYaDXTzQc\np3ipc0EuKCbEQpRahyAPi8VgsD9AMBDlfFsv7Z/3Tmm6byGESJNgQOSssesNiKnzjYT58F03QV+U\n/h4fsWic4lInDqcl21mbNem534WYirkqL7qusaTMhdVmMNQfwO+L4D7Xz5k/dEtAsEDIfUjMB5PO\nJiSEEGN5h4K0fnCRcChGf4+fRDxBSWlq3nMhxNzTdY0lpS4G+wN4B4OopKLzwhDxWJLVt1ei6VNb\nPFQIkbukZUDkLOmrOT2DfX4+fq+DUCBGX7ePZCLJkrK8nAgEZMyAmI65Li+arlFS6sTutDAyHGJk\nOER3p5ffn+wkkUjOaV7E9Mh9SMwH0jIghLih7ssjfPbxZaLhOP29PlCwpMyFxSqXECHmA03TKF7i\nwKuluvKpZKqb0Kn3L3LbxhWYLaYs51AIMV/JnVzkLOmrOTWXvhjk7Kc9hEMxBvv8aJrGkgoXZnPu\nPFzImAExHdkqL5qmUVjiQNd1fKNhkkmFUvDRMTe3/5+bsNoWfyveQiP3ITEfSDchIcSElFKcP93H\nmT90EwxEGej1o5s0llbk5VQgIMRComkaBcV2CorsBANRBvv8jHjDnHzHTcAfyXb2hBDzkAQDImdJ\nX83rSyYVn7d2ceFMHwFf6oHCbNEpLc/DMHLvsiFjBsR0zIfykldgo2iJg3AoxkDPKIHRCCffceMd\nCmY7a2IMuQ+J+SD37upCiEnFYwk+OX6RrovDjHrDDA8GsNnNLCnLQzfJJUOIhcLpslJS6iQWTdDX\n4yPkj/LxsQ76ukeznTUhxDyiqUU0GfGbb77J7bffnu1sCLFgRcIxWj+4xOhwiOHBIAF/BIfLQlGJ\nA02TKQqFWIgi4TiDfX7QYEmpC6vNTN2tFSz/ZnG2syaEmIZTp06xadOmGT+vVPMJIYDUDCQn3r6A\ndzjEQJ+fgD9CfqFNAgEhFjirzaC0Ig9d0+jv8RMKRDn9+y7OftqTmXVICJG7bhgMtLS0UFdXR21t\nLfv27Ztwnz179lBbW8vatWtpbW294bFDQ0Ns3ryZVatWce+99+L1ejPvPffcc9TW1lJXV8cbb7xx\nzWc1NjayZs2aaX1JISYifTWv6u/x8eE7bgK+CP3do4RDMYpKHOQX2iUQYH70ARcLx3wsL4bZdGXw\nv85Anx//aISL5wf4/clO4nFZiyBb5D4k5oNJg4FEIsHjjz9OS0sLbW1tvPzyy5w+fXrcPs3NzZw/\nf5729nZ+8YtfsGvXrhse29TUxObNmzl37hybNm2iqakJgLa2Ng4fPkxbWxstLS3s3r2bZPLqReq/\n//u/ycvLk4cTIWbQpS8G+eT4JYLBKH1dPuKxJEvKXDjzrNnOmhBiBplMOkvK87A7zHiHgngHg/R1\njfLRu27CoVi2syeEyJJJg4GTJ09SU1NDdXU1ZrOZbdu2ceTIkXH7vP7662zfvh2AjRs34vV66enp\nmfTYscds376d1157DYAjR47w8MMPYzabqa6upqamhpMnTwLg9/t5/vnnefrpp1lEwxxEFuX6/M7J\npOL0J12ZqUP7u30AlFbkxqrC0yHrDIjpmM/lRdc1ipc6ycu34vdFGOjz4x0KcuKtC4wMy0xDcy3X\n70Nifpg0GPB4PCxfvjyTrqqqwuPxTGmfrq6u6x7b29tLWVkZAGVlZfT29gLQ1dVFVVXVuGO6uroA\n+Kd/+id+/OMf43A4vtIXFUJcFY3E+fi9DjrdQ/hGwqmpQ806pcvyZKVSIRa51FoEDgpLUlOP9nf7\nCPgjfPhuB92d3hufQAixqEy6AvFUu+NMpaZeKTXh+TRNm/RzlFJ88sknXLhwgeeff56Ojo5JP2f3\n7t2sWLECgIKCAtasWZOJvNN98yQtaYB/+7d/y8nysXbNej45cYmPPjqBbyRMVXkddqeF7oGz9I9q\nmVrNdL9nSa8b1wd8PuRH0vM7vZDKy8qbVjPUH+D9998jv9BOMrEe/2iEnsFzaLqW9evVYk+nt82X\n/Eh6fqXTry9dugTAzp07mQ2TTi16/PhxnnnmGVpaWoDU4F5d19m7d29mn8cee4y77rqLbdu2AVBX\nV8fbb7+N2+2+7rF1dXW89dZblJeX093dzd13382ZM2cyYweeeuopAO6//35+8pOf0Nrayj//8z9j\nsViIx+P09fVx55138r//+7/j8itTi4rpOHbsWM410XZfHqHtlIdoNM5gX4BoJE5+oY28ApuMxZnE\n52da53XXDzG/LLTyEo8lGOjzE48nKSx24MqzUlLqYs0dVVgsk9YZiq8pF+9D4qvLytSi69evp729\nnY6ODqLRKIcPH6axsXHcPo2NjfzqV78CUsFDYWEhZWVlkx7b2NjIoUOHADh06BAPPPBAZvsrr7xC\nNBrF7XbT3t7Ohg0beOyxx/B4PLjdbo4dO8aqVauuCQSEmK5cugCrpOLspz18+mFnZqBwLJqgpNQp\nMwZNwUJ6sBPZt9DKi2E2UVqRj81mxjsYZHgwyECvnxNvXWDUG8p29ha1XLoPiflr0pDfMAz279/P\nfffdRyKRYMeOHdTX1/Piiy8C8Oijj7Jlyxaam5upqanB6XTy0ksvTXospGr+t27dysGDB6murubV\nV18FoKGhga1bt9LQ0IBhGBw4cOCah5TrdTcSQkwsEo7z6UedDPUH8I9G8A4HMQyd0jIZHyCESNF1\njZJSJ6PeML6RcKay4MN33NTftoxlKwqznUUhxCyRFYhFzsqF5tmhgQCffniZcCjG8GCAoD+KzWGm\neIkTXZegeqoWWrcPkV0LvbyEglGG+oNoOpQsdWG1GVRWF1F3awUmk6xVOpNy4T4kZs5sdROSzoBC\nLEJKKdznBvjidB+xaILBPj+xWELGBwghbsjusFC6zMRgn5/+Hh/5RXboGGZ0OMStG5bjdMkaJEIs\nJtIyIMQiEwnH+ezjywz2+QkGongHgqBB8VKnrB8ghJiyZFLhHQwSDESx2VMtiharQf1tFVQsl25D\nQsw1aRkQQtzQQK+Pz055iITieIeCBHwRLFaDkqVOTIY07wshpk7XNYqWOLDaDLxDQXq7Rile6uTT\njy4z0Oen/tYKDLOMOxJioZOnA5Gzxs7ju9AlE0nOftrDqfcvEhiN0Nc1SsAXIa/AxtJylwQCX9PY\neeOFuJHFVF40TcOZZ2VpeR6aDv09Pka9YbovejkuqxZ/bYvpPiQWLmkZEGKB842E+fSjy/hHw/h9\nEUaGQug6LClzSbcgIcSMsFgNSivy8Q4FGfWGCIdiFCeSnHzbzTdvXso3bl4qkxIIsUDJmAEhFiiV\nVHScH+D86T7isQTDA0HCoRg2u5miJQ6Z9UMIMSuC/ijDg0E0DQqLHThcFgqK7Kz+VhXOPBlcLMRs\nkTEDQoiMgC/C560evINBQoEow0NBVFJRWGzHmWeV2YKEELPG4bJgsZkY7g8yNBAgFIqRTCo++N0X\n1NSXctPKEjRpJRBiwZCqQ5GzFmJfTZVUuM/188HvvmCoP8BQf4DB/gCGSad0WT6ufJk2dDYspj7g\nYvblQnkxDBNLyl0UFNkJB6L0elLjlM591sPJd934R8PZzuKCsBDvQ2LxkZYBIRaIUW+I0590MTIc\nIhRMLSKmEkrWDhBCZIWmaeQV2LDaDYYHggz2+XE4LSSTiuNvXeCbNy+luqYEXbosCjGvyZgBIea5\neDzJhTN9XDw/SDyeZGQoNe+32WKiaIkDi0VieiFEdiml8I2E8XnDaCYtNZbAacGVb6P+tgqKSpzZ\nzqIQC56MGRAiB/V3+zjzh25CwSgBX4SR4RBKSWuAEGJ+0TSN/EI7doeF4YFUF8agP0o8nuTDd9xU\nVRdT01CKxSqPHULMN9J2J3LWfO6rGfBHOPXBRVqPX2R0JERft4/hwSBmi4nSZfnkF9olEJhDudAH\nXMycXC4vZouJpRV5FBbbiYTj9HpG8Y2Euewe4r3fttPpHkIlF02HhK9tPt+HRO6QEF2IeSQeS+Bu\nH+Bi+yDxeIJRbxi/L4yupVYCdTgtEgQIIeY1TdNw5duwOSx4h4KMDIcI+qMUljg4/UkXno5hbr61\nXLoOCTFPTKlloKWlhbq6Ompra9m3b9+E++zZs4fa2lrWrl1La2vrDY8dGhpi8+bNrFq1invvvRev\n15t577nnnqO2tpa6ujreeOMNAEKhEH/2Z39GfX09q1ev5h//8R+/0hcWIu2P//iPs52FDJVUXO4Y\n5thv23Gf7cfvC9PrGcU/GsbptFBWmY/TJVOGZsstdeuynQWxgEh5STEMnZKlTkpKnSil6O/xMdQf\nYHgwwIfvuPn9yU6CgWi2s5lV8+k+JHLXDYOBRCLB448/TktLC21tbbz88sucPn163D7Nzc2cP3+e\n9vZ2fvGLX7Br164bHtvU1MTmzZs5d+4cmzZtoqmpCYC2tjYOHz5MW1sbLS0t7N69m/QY5yeffJLT\np0/T2trKe++9R0tLy4z+MYSYa0opBnp9HH/rC9paPfhHwvR1p26YJkOjtCKPoiVOWUBMCLEgaZqG\n3WGhbFk++YU2QsEoPZdHGfWG6b48wvu/Pc/ZT3uIRuPZzqoQOeuGTxgnT56kpqaG6upqzGYz27Zt\n48iRI+P2ef3119m+fTsAGzduxOv10tPTM+mxY4/Zvn07r732GgBHjhzh4Ycfxmw2U11dTU1NDSdO\nnMBut/Onf/qnAJjNZm6//XY8Hs/M/SVEzsl2X03vUJCP3+vg1PsXGR4MMtgfoK/bRyKeoGiJg6Xl\neTLYbp7I5T7gYvqkvFxL01MDjMsq87E7zIx6Q/ReHsE3Gubi+QGOvdHOhbP9xOPJbGd1TmX7PiQE\nTCEY8Hg8LF++PJOuqqq65iH8evt0dXVd99je3l7KysoAKCsro7e3F4Curi6qqqom/Tyv18v//M//\nzMr0SkLMtlFviE+OX+Lk2xfo7/HjHQzS4xkhHIySX2ijrLJAugQJIRYlwzBRvNTJ0vI8TIbO8EAg\nM8j4fFsvx/7fOS59MUgikVtBgRDZdMNqx6k+kExlu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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as pm\n", "\n", "data_mu = [3e3, 12e3]\n", "\n", "data_std = [5e2, 3e3]\n", "\n", "mu_prior = 35e3\n", "std_prior = 75e2\n", "\n", "true_price = pm.Normal(\"true_price\", mu_prior, 1.0 / std_prior ** 2)\n", "\n", "\n", "prize_1 = pm.Normal(\"first_prize\", data_mu[0], 1.0 / data_std[0] ** 2)\n", "prize_2 = pm.Normal(\"second_prize\", data_mu[1], 1.0 / data_std[1] ** 2)\n", "price_estimate = prize_1 + prize_2\n", "\n", "\n", "@pm.potential\n", "def error(true_price=true_price, price_estimate=price_estimate):\n", " return pm.normal_like(true_price, price_estimate, 1 / (3e3) ** 2)\n", "\n", "\n", "mcmc = pm.MCMC([true_price, prize_1, prize_2, price_estimate, error])\n", "mcmc.sample(50000, 10000)\n", "\n", "price_trace = mcmc.trace(\"true_price\")[:]" ], "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": 8 }, { "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": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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qR8vK6NixY/D19a12PjMzs86529rm4+OD9evXY8CAAdoOhRpAGw8tq0lTv7+J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\nDRylpaW89957/XpiMCFE3+h/g/+Kfktu/elHYqufAnutu6s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"text": [ "" ] } ], "prompt_number": 9 }, { "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", "\n", "\n", "def showdown_loss(guess, true_price, risk=80000):\n", " loss = np.zeros_like(true_price)\n", " ix = true_price < guess\n", " loss[~ix] = np.abs(guess - true_price[~ix])\n", " close_mask = [abs(true_price - guess) <= 250]\n", " loss[close_mask] = -2 * true_price[close_mask]\n", " loss[ix] = risk\n", " return loss\n", "\n", "\n", "guesses = np.linspace(5000, 50000, 70)\n", "risks = np.linspace(30000, 150000, 6)\n", "expected_loss = lambda guess, risk: \\\n", " showdown_loss(guess, price_trace, risk).mean()\n", "\n", "for _p in risks:\n", " results = [expected_loss(_g, _p) for _g in guesses]\n", " plt.plot(guesses, results, label=\"%d\" % _p)\n", "\n", "plt.title(\"Expected loss of different guesses, \\nvarious risk-levels of \\\n", "overestimating\")\n", "plt.legend(loc=\"upper left\", title=\"Risk parameter\")\n", "plt.xlabel(\"price bid\")\n", "plt.ylabel(\"expected loss\")\n", "plt.xlim(5000, 30000);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EBQUhIiJC4VfFdu/eHf7+/ujfvz+WL18ODw8PPHz4EKdPn4aOjg5Gjx4NAFBX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\nGNFTBlwVBUTj2SwavngDY8YmFEs9AOqQKAIG/5KAIXfz1dF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ibKOnUql4+OGH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\nxe23387jjz8OQDqd5qGHHmLnzp0Eg0GeffZZ6usnt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Xk5nwuNaQmaBpI0dsc50BPn/feb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\noDlSqGo/arYdEkchsh8l24YihhurjvoLqhpayTSU4lrMwkpSvmLi7gLCT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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Minimizing our losses\n", "\n", "It would be wise to choose the estimate that minimizes our expected loss. This corresponds to the minimum point on each of the curves above. More formally, we would like to minimize our expected loss by finding the solution to\n", "\n", "$$ \\text{arg} \\min_{\\hat{\\theta}} \\;\\;E_{\\theta}\\left[ \\; L(\\theta, \\hat{\\theta}) \\; \\right] $$\n", "\n", "The minimum of the expected loss is called the *Bayes action*. We can solve for the Bayes action using Scipy's optimization routines. The function in `fmin` in `scipy.optimize` module uses an intelligent search to find a minimum (not necessarily a *global* minimum) of any uni- or multivariate function. For most purposes, `fmin` will provide you with a good answer. \n", "\n", "We'll compute the minimum loss for the *Showcase* example above:\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.optimize as sop\n", "\n", "ax = plt.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: 13945.51\n", "minimum at risk 54000: 12716.02" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 78000: 12063.18" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 102000: 11369.82" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 126000: 11273.77" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "minimum at risk 150000: 11273.77" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(-1000, 80000)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RRUVF0bp16+jff/+llJQUWrt2LQmFQn624idPntCAAQNo4sSJlJ2dTdnZ2VRW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3HwRz9Id5zenFVroGa9ma+Lb0AnRXBqYyaX3yNprTh+hrew3ftj/T2ttAS08d3b6xAQaApukU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\nD/8nA4ER+2N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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As intuition suggests, as we decrease the risk threshold (care about overbidding less), we increase our bid, willing to edge closer to the true price. It is interesting how far away our optimized loss is from the posterior mean, which was about 20 000. \n", "\n", "Suffice to say, in higher dimensions being able to eyeball the minimum expected loss is impossible. Hence why we require use of Scipy's `fmin` function.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "______\n", "\n", "### Shortcuts\n", "\n", "For some loss functions, the Bayes action is known in closed form. We list some of them below:\n", "\n", "- If using the mean-squared loss, the Bayes action is the mean of the posterior distribution, i.e. the value \n", "$$ E_{\\theta}\\left[ \\theta \\right] $$\n", "\n", "> minimizes $E_{\\theta}\\left[ \\; (\\theta - \\hat{\\theta})^2 \\; \\right]$. Computationally this requires us to calculate the average of the posterior samples [See chapter 4 on The Law of Large Numbers]\n", "\n", "- Whereas the *median* of the posterior distribution minimizes the expected absolute-loss. The sample median of the posterior samples is an appropriate and very accurate approximation to the true median.\n", "\n", "- In fact, it is possible to show that the MAP estimate is the solution to using a loss function that shrinks to the zero-one loss.\n", "\n", "\n", "Maybe it is clear now why the first-introduced loss functions are used most often in the mathematics of Bayesian inference: no complicated optimizations are necessary. Luckily, we have machines to do the complications for us. \n", "\n", "## Machine Learning via Bayesian Methods\n", "\n", "Whereas frequentist methods strive to achieve the best precision about all possible parameters, machine learning cares to achieve the best *prediction* among all possible parameters. Of course, one way to achieve accurate predictions is to aim for accurate predictions, but often your prediction measure and what frequentist methods are optimizing for are very different. \n", "\n", "For example, least-squares linear regression is the most simple active machine learning algorithm. I say active as it engages in some learning, whereas predicting the sample mean is technically *simpler*, but is learning very little if anything. The loss that determines the coefficients of the regressors is a squared-error loss. On the other hand, if your prediction loss function (or score function, which is the negative loss) is not a squared-error, like AUC, ROC, precision, etc., your least-squares line will not be optimal for the prediction loss function. This can lead to prediction results that are suboptimal. \n", "\n", "Finding Bayes actions is equivalent to finding parameters that optimize *not parameter accuracy* but an arbitrary performance measure, however we wish to define performance (loss functions, AUC, ROC, precision/recall etc.).\n", "\n", "The next two examples demonstrate these ideas. The first example is a linear model where we can choose to predict using the least-squares loss or a novel, outcome-sensitive loss. \n", "\n", "The second example is adapted from a Kaggle data science project. The loss function associated with our predictions is incredibly complicated. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "##### Example: Financial prediction\n", "\n", "\n", "Suppose the future return of a stock price is very small, say 0.01 (or 1%). We have a model that predicts the stock's future price, and our profit and loss is directly tied to us acting on the prediction. How should we measure the loss associated with the model's predictions, and subsequent future predictions? A squared-error loss is agnostic to the signage and would penalize a prediction of -0.01 equally as bad a prediction of 0.03:\n", "\n", "$$ (0.01 - (-0.01))^2 = (0.01 - 0.03)^2 = 0.004$$\n", "\n", "If you had made a bet based on your model's prediction, you would have earned money with a prediction of 0.03, and lost money with a prediction of -0.01, yet our loss did not capture this. We need a better loss that takes into account the *sign* of the prediction and true value. We design a new loss that is better for financial applications below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize(12.5, 4)\n", "\n", "\n", "def stock_loss(true_return, yhat, alpha=100.):\n", " if true_return * yhat < 0:\n", " # opposite signs, not good\n", " return alpha * yhat ** 2 - np.sign(true_return) * yhat \\\n", " + abs(true_return)\n", " else:\n", " return abs(true_return - yhat)\n", "\n", "\n", "true_value = .05\n", "pred = np.linspace(-.04, .12, 75)\n", "\n", "plt.plot(pred, [stock_loss(true_value, _p) for _p in pred],\n", " label=\"Loss associated with\\n prediction if true value = 0.05\", lw=3)\n", "plt.vlines(0, 0, .25, linestyles=\"--\")\n", "\n", "plt.xlabel(\"prediction\")\n", "plt.ylabel(\"loss\")\n", "plt.xlim(-0.04, .12)\n", "plt.ylim(0, 0.25)\n", "\n", "true_value = -.02\n", "plt.plot(pred, [stock_loss(true_value, _p) for _p in pred], alpha=0.6,\n", " label=\"Loss associated with\\n prediction if true value = -0.02\", lw=3)\n", "plt.legend()\n", "plt.title(\"Stock returns loss if true value = 0.05, -0.02\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0dOLj41GpVDRr1gxr68IX1NVqNadPn+bu3bvUq1cPT09PANauXcuoUaNwdHTE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\nmhf1KAeSPyPF1tnZg4aXt8FjswMAJPFK5K6/DdIk1bDnktHRecsfii1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vrKyETqeDyWTC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"text": [ "" ] } ], "prompt_number": 15 }, { "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": [ { "metadata": {}, "output_type": "display_data", "png": 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OVreTk5Px8vIqs09KSgqenp4afZycnHj++ec5evQoHTt2fOg4I0aMwMfHR923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\n3NxcuLi4wMPDo4VR6hd9z3VOTg5mzpyJ+/drpjGdO3cuPvvsM0gkEh1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"text": [ "" ] } ], "prompt_number": 17 }, { "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 pm\n", "from pymc.Matplot import plot as mcplot\n", "\n", "std = pm.Uniform(\"std\", 0, 100, trace=False) # this needs to be explained.\n", "\n", "\n", "@pm.deterministic\n", "def prec(U=std):\n", " return 1.0 / (U) ** 2\n", "\n", "beta = pm.Normal(\"beta\", 0, 0.0001)\n", "alpha = pm.Normal(\"alpha\", 0, 0.0001)\n", "\n", "\n", "@pm.deterministic\n", "def mean(X=X, alpha=alpha, beta=beta):\n", " return alpha + beta * X\n", "\n", "obs = pm.Normal(\"obs\", mean, prec, value=Y, observed=True)\n", "mcmc = pm.MCMC([obs, beta, alpha, std, prec])\n", "\n", "mcmc.sample(100000, 80000)\n", "mcplot(mcmc)" ], "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" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tqKiIwMBAGhoaqKysxNdXd/LvC1vewLNXc5LrTl270y0wTPVBUzps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sDAzDoEuXLsjIyEBYWBi++eYbo9qY7du3G7VHt4fX1tuaL3I+rq96iQvFHnPr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wNPoze+NXuC3thuso+ba4uABPZjejzTdMa//Xf7IXTdduadXv/bwqNJUX4+2p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"text": [ "" ] } ], "prompt_number": 18 }, { "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 - np.sign(price[ix]) * pred + abs(price[ix])\n", " sol[~ix] = abs(price[~ix] - pred)\n", " return sol\n", "\n", "tau_samples = mcmc.trace(\"prec\")[:]\n", "alpha_samples = mcmc.trace(\"alpha\")[:]\n", "beta_samples = mcmc.trace(\"beta\")[:]\n", "\n", "N = tau_samples.shape[0]\n", "\n", "noise = 1. / np.sqrt(tau_samples) * np.random.randn(N)\n", "\n", "possible_outcomes = lambda signal: alpha_samples + beta_samples * signal \\\n", " + noise\n", "\n", "\n", "opt_predictions = np.zeros(50)\n", "trading_signals = np.linspace(X.min(), X.max(), 50)\n", "for i, _signal in enumerate(trading_signals):\n", " _possible_outcomes = possible_outcomes(_signal)\n", " tomin = lambda pred: stock_loss(_possible_outcomes, pred).mean()\n", " opt_predictions[i] = fmin(tomin, 0, disp=False)\n", "\n", "\n", "plt.xlabel(\"trading signal\")\n", "plt.ylabel(\"prediction\")\n", "plt.title(\"Least-squares prediction vs. Bayes action prediction\")\n", "plt.plot(X, ls_coef_ * X + ls_intercept, label=\"Least-squares prediction\")\n", "plt.xlim(X.min(), X.max())\n", "plt.plot(trading_signals, opt_predictions, label=\"Bayes action prediction\")\n", "plt.legend(loc=\"upper left\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HmzZtknrM6Oho5OTkYOnSpeDzS79vlz2oW1kcDhw4gOHDh6Np06YAgIULF8LW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"text": [ "" ] } ], "prompt_number": 19 }, { "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 the parent folder. Though I suggest not reading it all, suffice to say the loss function is about 160 lines of code — not something that can be written down in a single mathematical line. The loss function attempts to measure the accuracy of prediction, in a Euclidean distance sense, such that no shift-bias is present. More details can be found on the metric's [main page](http://www.kaggle.com/c/DarkWorlds/details/evaluation). \n", "\n", "We will attempt to implement Tim's winning solution using PyMC and our knowledge of loss functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Data\n", "\n", "The dataset is actually 300 separate files, each representing a sky. In each file, or sky, are between 300 and 720 galaxies. Each galaxy has an $x$ and $y$ position associated with it, ranging from 0 to 4200, and measures of ellipticity: $e_1$ and $e_2$. Information about what these measures mean can be found [here](https://www.kaggle.com/c/DarkWorlds/details/an-introduction-to-ellipticity), but for our purposes it does not matter besides for visualization purposes. Thus a typical sky might look like the following:" ] }, { "cell_type": "code", "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\");" ], "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 \n", "[[ 1.62690000e+02 1.60006000e+03 1.14664000e-01 -1.90326000e-01]\n", " [ 2.27228000e+03 5.40040000e+02 6.23555000e-01 2.14979000e-01]\n", " [ 3.55364000e+03 2.69771000e+03 2.83527000e-01 -3.01870000e-01]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6CAgQqiVWxePQ6SiwvqpKyQkIgIAA9Z6WhPR0iIvTEhTkIDq6/EsYQhUo9bRx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3n5mVKw1IWnBTI4wJewdNqy0omaSmqurOVyPLhdsti9sWmjWT+PJLOz17egutf3TsmMgrr1w9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\nq50iTiecOKESGiq8mgPK6YQVK9ynMe+5p5TERO3H17mzi5dfLsHlqrpV2Rs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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Priors\n", "\n", "Each sky has one, two or three dark matter halos in it. Tim's solution details that his prior distribution of halo positions was uniform, i.e.\n", "\n", "\\begin{align}\n", "& x_i \\sim \\text{Uniform}( 0, 4200)\\\\\\\\\n", "& y_i \\sim \\text{Uniform}( 0, 4200), \\;\\; i=1,2,3\\\\\\\\\n", "\\end{align}\n", "\n", "Tim and other competitors noted that most skies had one large halo and other halos, if present, were much smaller. Larger halos, having more mass, will influence the surrounding galaxies more. He decided that the large halos would have a mass distributed as a *log*-uniform random variable between 40 and 180 i.e.\n", "\n", "$$ m_{\\text{large} } = \\log \\text{Uniform}( 40, 180 ) $$\n", "\n", "and in PyMC, \n", "\n", " exp_mass_large = pm.Uniform(\"exp_mass_large\", 40, 180)\n", " @pm.deterministic\n", " def mass_large(u = exp_mass_large):\n", " return np.log(u)\n", "\n", "(This is what we mean when we say *log*-uniform.) For smaller galaxies, Tim set the mass to be the logarithm of 20. Why did Tim not create a prior for the smaller mass, nor treat it as a unknown? I believe this decision was made to speed up convergence of the algorithm. This is not too restrictive, as by construction the smaller halos have less influence on the galaxies.\n", "\n", "Tim logically assumed that the ellipticity of each galaxy is dependent on the position of the halos, the distance between the galaxy and halo, and the mass of the halos. Thus the vector of ellipticity of each galaxy, $\\mathbf{e}_i$, are *children* variables of the vector of halo positions $(\\mathbf{x},\\mathbf{y})$, distance (which we will formalize), and halo masses.\n", "\n", "Tim conceived a relationship to connect positions and ellipticity by reading literature and forum posts. He supposed the following was a reasonable relationship:\n", "\n", "$$ e_i | ( \\mathbf{x}, \\mathbf{y} ) \\sim \\text{Normal}( \\sum_{j = \\text{halo positions} }d_{i,j} m_j f( r_{i,j} ), \\sigma^2 ) $$\n", "\n", "where $d_{i,j}$ is the *tangential direction* (the direction in which halo $j$ bends the light of galaxy $i$), $m_j$ is the mass of halo $j$, $f(r_{i,j})$ is a *decreasing function* of the Euclidean distance between halo $j$ and galaxy $i$. \n", "\n", "Tim's function $f$ was defined:\n", "\n", "$$ f( r_{i,j} ) = \\frac{1}{\\min( r_{i,j}, 240 ) } $$\n", "\n", "for large halos, and for small halos\n", "\n", "$$ f( r_{i,j} ) = \\frac{1}{\\min( r_{i,j}, 70 ) } $$\n", "\n", "This fully bridges our observations and unknown. This model is incredibly simple, and Tim mentions this simplicity was purposefully designed: it prevents the model from overfitting. \n", "\n", "\n", "### Training & PyMC implementation\n", "\n", "For each sky, we run our Bayesian model to find the posteriors for the halo positions — we ignore the (known) halo position. This is slightly different than perhaps traditional approaches to Kaggle competitions, where this model uses no data from other skies nor the known halo location. That does not mean other data are not necessary — in fact, the model was created by comparing different skies. \n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def euclidean_distance(x, y):\n", " return np.sqrt(((x - y) ** 2).sum(axis=1))\n", "\n", "\n", "def f_distance(gxy_pos, halo_pos, c):\n", " # foo_position should be a 2-d numpy array\n", " return np.maximum(euclidean_distance(gxy_pos, halo_pos), c)[:, None]\n", "\n", "\n", "def tangential_distance(glxy_position, halo_position):\n", " # foo_position should be a 2-d numpy array\n", " delta = glxy_position - halo_position\n", " t = (2 * np.arctan(delta[:, 1] / delta[:, 0]))[:, None]\n", " return np.concatenate([-np.cos(t), -np.sin(t)], axis=1)\n", "\n", "import pymc as pm\n", "\n", "# set the size of the halo's mass\n", "mass_large = pm.Uniform(\"mass_large\", 40, 180, trace=False)\n", "\n", "# set the initial prior position of the halos, it's a 2-d Uniform dist.\n", "halo_position = pm.Uniform(\"halo_position\", 0, 4200, size=(1, 2))\n", "\n", "\n", "@pm.deterministic\n", "def mean(mass=mass_large, h_pos=halo_position, glx_pos=data[:, :2]):\n", " return mass / f_distance(glx_pos, h_pos, 240) *\\\n", " tangential_distance(glx_pos, h_pos)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "ellpty = pm.Normal(\"ellipcity\", mean, 1. / 0.05, observed=True,\n", " value=data[:, 2:])\n", "mcmc = pm.MCMC([ellpty, mean, halo_position, mass_large])\n", "map_ = pm.MAP([ellpty, mean, halo_position, mass_large])\n", "map_.fit()\n", "mcmc.sample(200000, 140000, 3)" ], "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": 21 }, { "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", "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": [ { "metadata": {}, "output_type": "display_data", "png": 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ixAm2bdvGkCFDspiTMiphwcHBGI1GPvnkE06dOsWaNWt49tln3VZr0pSu/v3789BDDzFn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} ], "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" ] }, { "metadata": {}, "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", "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", "\n", "def halo_posteriors(n_halos_in_sky, galaxy_data,\n", " samples=5e5, burn_in=34e4, thin=4):\n", " # set the size of the halo's mass\n", " \"\"\"\n", " exp_mass_large = pm.Uniform(\"exp_mass_large\", 40, 180)\n", " @pm.deterministic\n", " def mass_large(exp_mass_large = exp_mass_large):\n", " return np.log(exp_mass_large)\n", " \"\"\"\n", "\n", " mass_large = pm.Uniform(\"mass_large\", 40, 180)\n", "\n", " mass_small_1 = 20\n", " mass_small_2 = 20\n", "\n", " masses = np.array([mass_large, mass_small_1, mass_small_2], dtype=object)\n", "\n", " # set the initial prior positions of the halos, it's a 2-d Uniform dist.\n", " halo_positions = pm.Uniform(\"halo_positions\", 0, 4200,\n", " size=(n_halos_in_sky, 2)) # notice this size\n", "\n", " fdist_constants = np.array([240, 70, 70])\n", "\n", " @pm.deterministic\n", " def mean(mass=masses, h_pos=halo_positions, glx_pos=data[:, :2],\n", " n_halos_in_sky=n_halos_in_sky):\n", "\n", " _sum = 0\n", " for i in range(n_halos_in_sky):\n", " _sum += mass[i] / f_distance(glx_pos, h_pos[i, :], fdist_constants[i]) *\\\n", " tangential_distance(glx_pos, h_pos[i, :])\n", "\n", " return _sum\n", "\n", " ellpty = pm.Normal(\"ellipcity\", mean, 1. / 0.05, observed=True,\n", " value=data[:, 2:])\n", "\n", " map_ = pm.MAP([ellpty, mean, halo_positions, mass_large])\n", " map_.fit(method=\"fmin_powell)\n", "\n", " mcmc = pm.MCMC([ellpty, mean, halo_positions, mass_large])\n", " mcmc.sample(samples, burn_in, thin)\n", " return mcmc.trace(\"halo_positions\")[:]" ], "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": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "(0, 4200)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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P8/rrHo2NcPzxpV6Vu+5KMW/e7p2Qur04/vjjd8q4nTuXErX163fPDP1UCvr2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ZzorqSriOIqpMzYKVkpPSvqd5x4Mlcj5ebLHFICnVyOByASku14HvgRkdagJCKU+K5PlM9Rdhzb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\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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\nkBIqhaL3nkbSQCcxDWNIs5TgDVk+4KGf/4zlh78YaxOCFrf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} ], "prompt_number": 14 }, { "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", "\n", "\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", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }