{ "metadata": { "name": "LawOfLargeNumbers" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Chapter 4\n", "______\n", "\n", "##The greatest theorem never told\n", "\n", "\n", "This chapter focuses on an idea that is always bouncing around our minds, but is rarely made explicit outside books devoted to statistics. In fact, we've been used this simple idea in every example thus far. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Law of Large Numbers\n", "\n", "Let $Z_i$ be $N$ independent samples from some probability distribution. According to *the Law of Large numbers*, so long as the expected value $E[Z]$ is finite, the following holds,\n", "\n", "$$\\frac{1}{N} \\sum_{i=1}^N Z_i \\rightarrow E[ Z ], \\;\\;\\; N \\rightarrow \\infty.$$\n", "\n", "In words:\n", "\n", "> The average of a sequence of random variables from the same distribution converges to the expected value of that distribution.\n", "\n", "This may seem like a boring result, but it will be the most useful tool you use." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Intuition \n", "\n", "If the above Law is somewhat surprising, it can be made more clear be examining a simple example. \n", "\n", "Consider a random variable $Z$ that can take only two values, $c_1$ and $c_2$. Suppose we have a large number of samples of $Z$, denoting a specific sample $Z_i$. The Law says that we can approximate the expected value of $Z$ by averaging over all samples. Consider the average:\n", "\n", "\n", "$$ \\frac{1}{N} \\sum_{i=1}^N \\;Z_i $$\n", "\n", "\n", "By construction, $Z_i$ can only take on $c_1$ or $c_2$, hence we can partition the sum over these two values:\n", "\n", "\\begin{align}\n", "\\frac{1}{N} \\sum_{i=1}^N \\;Z_i\n", "& =\\frac{1}{N} \\big( \\sum_{ Z_i = c_1}c_1 + \\sum_{Z_i=c_2}c_2 \\big) \\\\\\\\[5pt]\n", "& = c_1 \\sum_{ Z_i = c_1}\\frac{1}{N} + c_2 \\sum_{ Z_i = c_2}\\frac{1}{N} \\\\\\\\[5pt]\n", "& = c_1 \\times \\text{ (approximate frequency of $c_1$) } \\\\\\\\ \n", "& \\;\\;\\;\\;\\;\\;\\;\\;\\; + c_2 \\times \\text{ (approximate frequency of $c_2$) } \\\\\\\\[5pt]\n", "& \\approx c_1 \\times P(Z = c_1) + c_2 \\times P(Z = c_2 ) \\\\\\\\[5pt]\n", "& = E[Z]\n", "\\end{align}\n", "\n", "\n", "Equality holds in the limit, but we can get closer and closer by using more and more samples in the average. This Law holds for almost *any distribution*, minus some important cases we will encounter later.\n", "\n", "##### Example\n", "____\n", "\n", "\n", "Below is a diagram of the Law of Large numbers in action for three different sequences of Poisson random variables. \n", "\n", " We sample `sample_size= 100000` Poisson random variables with parameter $\\lambda = 4.5$. (Recall the expected value of a Poisson random variable is equal to it's parameter.) We calculate the average for the first $n$ samples, for $n=1$ to `sample_size`. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "\n", "figsize( 12.5, 5 )\n", "import pymc as mc\n", "\n", "sample_size = 100000\n", "expected_value = lambda_ = 4.5\n", "poi = mc.rpoisson\n", "N_samples = range(1,sample_size,100)\n", "\n", "for k in range(3):\n", "\n", " samples = poi( lambda_, size = sample_size ) \n", " \n", " partial_average = [ samples[:i].mean() for i in N_samples ]\n", " \n", " plt.plot( N_samples, partial_average, lw=1.5,label=\"average \\\n", " of $n$ samples; seq. %d\"%k)\n", " \n", "\n", "plt.plot( N_samples, expected_value*np.ones_like( partial_average), \\\n", " ls = \"--\", label = \"true expected value\", c = \"k\" )\n", "\n", "plt.ylim( 4.35, 4.65) \n", "plt.title( \"Convergence of the average of \\n random variables to its \\\n", "expected value\" )\n", "plt.ylabel( \"average of $n$ samples\" )\n", "plt.xlabel( \"# of samples, $n$\")\n", "plt.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": 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xM8a04IXOgGCMNTjXrl0jiURSZUKkXC6nyZMnk7m5OZmZmVFgYCCtWLGCJBKJ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\nahSrVq0CQFEUnn76aU4//XQGDhzIjTfeSEtLS4+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mFv3DH/5wQip43DqlQHVPN9Kpw7GR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YNHgFKJLuDH5/GSUnmIyuz+9NPD2ft24KprxNnUQnleIU0JyTiNJqJjzcwyuRhuq6Pa5uJQTArm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\nXrZM1mhqarJ1CfQfwaxQTzAvZC1mheyRz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} ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the above plot, it is clear that when the sample size is small, there is greater variation in the average (compare how *jagged and jumpy* the average is initially, then *smooths* out). All three paths *approach* the value 4.5, but just flirt with it as $N$ gets large. Mathematicians and statistician have another name for *flirting*: convergence. \n", "\n", "Another very relevant question we can ask is *how quickly am I converging to the expected value?* Let's plot something new. For a specific $N$, let's do the above trials thousands of times and compute how far away we are from the true expected value, on average. But wait — *compute on average*? This simply the law of large numbers again! For example, we are interested in, for a specific $N$, the quantity:\n", "\n", "$$D(N) = \\sqrt{ \\;E\\left[\\;\\; \\left( \\frac{1}{N}\\sum_{i=1}^NZ_i - 4.5 \\;\\right)^2 \\;\\;\\right] \\;\\;}$$\n", "\n", "(We take the square root so the dimensions of the above quantity and our random variables are the same). As the above is an expected value, it can be approximated using the law of large numbers: instead of averaging $Z_i$, we calculate the following multiple times and average them:\n", "\n", "$$ Y_k = \\left( \\;\\frac{1}{N}\\sum_{i=1}^NZ_i - 4.5 \\; \\right)^2 $$\n", "\n", "i.e., we consider the average\n", "\n", "$$ \\sqrt{\\frac{1}{N_Y} \\sum_{k=1}^{N_Y} Y_k} \\approx D(N) $$ where $N_Y$ is some suitably large number." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 4)\n", "N_Y = 250\n", "D_N_results = [] \n", "N_array = np.arange( 0, 50000, 2500 )\n", "lambda_ = 4.5\n", "expected_value = 4.5\n", "\n", "def D_N( n ):\n", " Z = poi( lambda_, size = (n, N_Y) )\n", " average_Z = Z.mean(axis=0)\n", " return np.sqrt( ( (average_Z - expected_value)**2 ).mean() )\n", " \n", " \n", "for n in N_array:\n", " D_N_results.append( D_N(n) )\n", "\n", "\n", "plt.xlabel( \"$N$\" )\n", "plt.ylabel( \"expected squared-distance from true value\" )\n", "plt.plot(N_array, D_N_results, lw = 1, \n", " label=\"expected distance between\\n\\\n", "expected value and \\naverage of $N$ random variables.\")\n", "plt.plot( N_array, np.sqrt(expected_value)/np.sqrt(N_array), lw = 3, ls = \"--\", \n", " label = r\"$\\frac{\\sqrt{\\lambda}}{\\sqrt{N}}$\" )\n", "plt.legend()\n", "plt.title( \"How 'fast' is the sample average converging? \" )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "" ] }, { "output_type": "display_data", "png": 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6OtKvXz+ddA4fPkyTJk2wt7dn6tSpCCHyfXh//Pgx48ePx9HRkWbNmnH27Fmd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6s+n3zyCZ599lkAQHx8PK5fv47Gxsa7nitjESYiWaqrq+1dAo0jzAvJxayQLZgXGgtk3UF45pln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\nAABJRU5ErkJggg==\n" } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the expected distance between our sample average and the actual expected value shrinks as $N$ grows large. But also notice that the *rate* of convergence decreases, that is, we need only 10 000 additional samples to move from 0.020 to 0.015, a difference of 0.005, but *20 000* more samples to again decrease from 0.015 to 0.010, again only a 0.005 decrease.\n", "\n", "\n", "It turns out we can measure this rate of convergence. Above I have plotted a second line, the function $\\sqrt{\\lambda}/\\sqrt{N}$. This was not chosen arbitrarily. In most cases, given a sequence of random variable distributed like $Z$, the rate of converge to $E[Z]$ of the Law of Large Numbers is \n", "\n", "$$ \\frac{ \\sqrt{ \\; Var(Z) \\; } }{\\sqrt{N} }$$\n", "\n", "This is useful to know: for a given large $N$, we know (on average) how far away we are from the estimate. On the other hand, in a Bayesian setting, this can seem like a useless result: Bayesian analysis is OK with uncertainty so what's the *statistical* point of adding extra precise digits? Though drawing samples can be so computationally cheap that having a *larger* $N$ is fine too. \n", "\n", "### How do we compute $Var(Z)$ though?\n", "\n", "The variance is simply another expected value that can be approximated! Consider the following, once we have the expected value (by using the Law of Large Numbers to estimate it, denote it $\\mu$), we can estimate the variance:\n", "\n", "$$ \\frac{1}{N}\\sum_{i=1}^N \\;(Z_i - \\mu)^2 \\rightarrow E[ \\;( Z - \\mu)^2 \\;] = Var( Z )$$\n", "\n", "### Expected values and probabilities \n", "There is an even less explicit relationship between expected value and estimating probabilities. Define the *indicator function*\n", "\n", "$$\\mathbb{1}_A(x) = \n", "\\begin{cases} 1 & x \\in A \\\\\\\\\n", " 0 & else\n", "\\end{cases}\n", "$$\n", "Then, by the law of large numbers, if we have many samples $X_i$, we can estimate the probability of an event $A$, denoted $P(A)$, by:\n", "\n", "$$ \\frac{1}{N} \\sum_{i=1}^N \\mathbb{1}_A(X_i) \\rightarrow E[\\mathbb{1}_A(X)] = P(A) $$\n", "\n", "Again, this is fairly obvious after a moments thought: the indicator function is only 1 if the event occurs, so we are summing only the times the event occurs and dividing by the total number of trials (consider how we usually approximate probabilities using frequencies). For example, suppose we wish to estimate the probability that a $Z \\sim Exp(.5)$ is greater than 10, and we have many samples from a $Exp(.5)$ distribution. \n", "\n", "\n", "$$ P( Z > 10 ) = \\sum_{i=1}^N \\mathbb{1}_{z > 10 }(Z_i) $$\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as mc\n", "\n", "N = 10000\n", "print np.mean( [ mc.rexponential( 0.5 )>10 for i in range(N) ] )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.0058\n" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What does this all have to do with Bayesian statistics? \n", "\n", "\n", "*Point estimates*, to be introduced in the next chapter, in Bayesian inference are computed using expected values. In more analytical Bayesian inference, we would have been required to evaluate complicated expected values represented as multi-dimensional integrals. No longer. If we can sample from the posterior distribution directly, we simply need to evaluate averages. Much easier. If accuracy is a priority, plots like the ones above show how fast you are converging. And if further accuracy is desired, just take more samples from the posterior. \n", "\n", "When is enough enough? When can you stop drawing samples from the posterior? That is the practitioners decision, and also dependent on the variance of the samples (recall from above a high variance means the average will converge slower). \n", "\n", "We also should understand when the Law of Large Numbers fails. As the name implies, and comparing the graphs above for small $N$, the Law is only true for large sample sizes. Without this, the asymptotic result is not reliable. Knowing in what situations the Law fails can give use *confidence in how unconfident we should be*. The next section deals with this issue." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Disorder of Small Numbers\n", "\n", "The Law of Large Numbers is only valid as $N$ gets *infinitely* large: never truly attainable. While the law is a powerful tool, it is foolhardy to apply it liberally. Our next example illustrates this.\n", "\n", "\n", "##### Example: Aggregated geographic data\n", "\n", "\n", "Often data comes in aggregated form. For instance, data may be grouped by state, county, or city level. Of course, the population numbers vary per geographic area. If the data is an average of some characteristic of each the geographic areas, we must be conscious of the Law of Large Numbers and how it can *fail* for areas with small populations.\n", "\n", "We will observe this on a toy dataset. Suppose there are five thousand counties in our dataset. Furthermore, population number in each state are uniformly distributed between 100 and 1500. The way the population numbers are generated is irrelevant to the discussion, so we do not justify this. We are interested in measuring the average height of individuals per county. Unbeknownst to the us, height does **not** vary across county, and each individual, regardless of the county he or she is currently living in, has the same distribution of what their height may be:\n", "\n", "$$ \\text{height} \\sim \\text{Normal}(150, 15 ) $$\n", "\n", "We aggregate the individuals at the county level, so we only have data for the *average in the county*. What might our dataset look like?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 4) \n", "std_height = 15\n", "mean_height = 150\n", "\n", "n_counties = 5000\n", "pop_generator = mc.rdiscrete_uniform\n", "norm = mc.rnormal\n", "\n", "#generate some artificial population numbers\n", "population = pop_generator(100, 1500, size = n_counties )\n", "\n", "average_across_county = np.zeros( n_counties )\n", "for i in range( n_counties ):\n", " #generate some individuals and take the mean\n", " average_across_county[i] = norm(mean_height, 1./std_height**2,\n", " size=population[i] ).mean()\n", " \n", "\n", "#where are the extreme populations?\n", "i_min = np.argmin( average_across_county )\n", "i_max = np.argmax( average_across_county )\n", "\n", "#plot population vs. average\n", "plt.scatter( population, average_across_county, alpha = 0.5, c=\"#7A68A6\")\n", "plt.scatter( [ population[i_min], population[i_max] ], \n", " [average_across_county[i_min], average_across_county[i_max] ],\n", " s = 60, marker = \"o\", facecolors = \"none\",\n", " edgecolors = \"#A60628\", linewidths = 1.5, \n", " label=\"extreme heights\")\n", "\n", "plt.xlim( 100, 1500 )\n", "plt.title( \"Average height vs. County Population\")\n", "plt.xlabel(\"County Population\")\n", "plt.ylabel(\"Average height in county\")\n", "plt.plot( [100, 1500], [150, 150], color = \"k\", label = \"true expected \\\n", "height\", ls=\"--\" )\n", "plt.legend(scatterpoints = 1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "output_type": "display_data", "png": 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lGI1GHnroIZ5//nnefPNNMjMzef/99x2Of/vttykuLub06dMsXbqU0aNHAzBl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cgPdVOTM+QPrOVsQxSknL0SuU2WZbQ65T/IHk+SFDL5+qIqyNi91fig8Vo3NO4+7jEZrFCQxoZp\n6hw97NLqruW8bboM+wsy4PBBm40vSeaBnxReqDBMmI+97yzeb9LGPxQY+O21mm9481xqhFF/haYp\nOK6B7Rq8fDIgy6QuCjcxj34oDcrZW76SJE5ZL4P3vhdv+W4S77i/egfW8ceu7f06bsUiiQTJOp+s\nMUz9exncuzs1yjWb4dVSJheqUuSENPNgzO39Gsv8+XEck/lkLZN3XcX8Hkbat9f/K5z3f6oVBjHr\n5YbOthSxpbJJreky7C/lkI4Seju1d0wxrW6Zepzy9Isr5hMfzVCYDddUGw7zyZpRf8neYRPTMtje\nf39TGl4teFmwhecEQYS3CthsQkxTkkfdkslmIwVx/0zMoYEf5Tr2LqqqsFpu+PzLXwuaMpcM1Fsl\nxoNVkSJYbzhs7deLA8D3Qr76zbmYjhSV5WLDRz8SycL2QV1GxblG1S0ZXJ5OC+LG8GpZ3Px0XaVW\ndzg9HrFaShIeGZy9mlCp2tSbLt5SNOW6rtLb/m79W5ZlLKY+tispd74XUWu40hFNpUM6n4hRqly1\nmI19wjxB7uMf7WDZBj/82b5EsftRIYFqtFxqLYfh5RIjP5SCTUSwkfF7qWyimyq1mg2qwsaLinCg\nt2+1pqVzejym0S5JyuxQtNBkMHdk1Hr0sMNssma8fMXt+z8lyzJefD0gCiSZTVGlSx+HEr7kuib+\nWkZdYZSIjU2RThKKaAzJQ6u+vW7McyDd5TTNpNj6B0o3+xdzLk+nlCvC/s9SiU1XNfWbkC+k06Qo\nKlEsErAnv+ujqBLiMh547N2qi84V6cCP+ysmI5FB3X3cJctSurlJ++vfXkr+gaYQR/I6j66XjPor\nylWHUsmQaUYeQHXrTpP+hVwia02XUtnCcnRmU596yyWJE3q7FTRN5cWX/dxMGvHVk5c47iPCMKbZ\ndjEtjfFgxWwimQAn6ghNVdisI0xLZT7dsJz6jIceSZKwd9QkDlNGVys0VcV2jPxSJYFYvheh6ULO\nqjVcHNdkvQz4+Mc7zCY+w/6K7lYV3ZDLdLNTIgyl8OxtV2XCF8YYeZ5Dte5QqdlyibJ0Gm2XOBZt\nu2VreG9NSLxlQKX6zWFv2Tq+LzSOJJZGhFsyMG054L5LWzq4XBBGUqB5q02hAdZUhd5uldOXE9I0\nw7Q0ag2XJJ/tSnddsgxApHatjrwXZ6+nxUj36EGH7k71PR3pxo9IkpTp0MNfy4VGVRR631HIBeuI\n05cT4kjSf7f36nlycVLsp5fnMz7+8S637rQwDY0wiIuJymTkYdvGO3INVVMJ89yLJJHnfjb0aHcr\nRFGSv4Y3krmM+/c67N9uEoVJXujmfqLJJs8zkAvg4f12vmfHNLslTl/Ja7icbwjDmDfPR2RZhm5o\njIdSiCxnG9lTJj7+OqLVK7+T3aF+6wOuoHB4v82bF1LEHdxpvSfb8FYBx19f8+zzfnGpvvdRjzBI\n+PnPf87//L/8T7Q6ZS7P58wmPl//7pIHn2wV3fsPBYLppo5btshY5EWaiu+FfP6rM8oVi/sfSxBf\nuWbx6AfbZClMhx5pmtJousRJwuR8RbNTJo6FF9/slD5o1JxPfeaTNeOBJw0oFK4vF/z4z27lhU3K\nehVQbTh89JPd4iLrLYP8MyOvh2XrcsGLYxqdEv4q4OWTAVu7tXcC7CpVu9Buv73efu2zLOPV82HR\nlT59Mca2Da7PF2i6GOFv32t98OdZLTZ8/dvL4jN951GH6Uh+vi+++jU//dM/46Mf7/xej49pae94\nIsYDj/U6eqconU3WeKsA1xX50Giw5M3znFRnafjrSDx0Xsinf7r/waaP4xjvNNw2fkSwid+BBsjE\nS2HtSWOnsyVTubeXnhfmi5nP4GqBpqp096rMxh4XJ3MUhIz2+0zDWZaRJJJyjaJQrlislgGVmiWX\nrEyyYhRFETJZmhVBkTfAD1VVsFxDpIGnU/lsdsrYjv7OM+BWzPf2qj921eoOvhfy9e8uCXK4wJ2H\nHbo7H97bbozxcZTQ2amKf+Wt6aX51lRntQgJczm07Rrolkq15rK1V8V2/ziJ0ncW7w8fPuTpUxnL\n7e/vf/DPKIrC6enpH/UF/0uuV8+GRbBMuWrR2domDGLeHI9QFdl8z16NKVVMmm9pocIgxluJ5mwx\n81mvQ+ySgVu23kmA/NBav6Wbtxydp5/3iaNEaCxJApnCxZsJ+3daPPndJZOh6PD3D5uUKxYnz4dk\nKISBmEpvjDC2bTDsL/n1f3rDfOJj2joHd5qYtk47J5+slgFX5/Oi26Cq8PCTbTRdCpPb+WHw9LMr\ngk3M1n6NxcwXMkcKm3X4Dq6x1a1w/HQgX79koCiCM7Nsg1v3WiRJRr3p/N5Y5pskxWanTFxP0AyV\natNBQfSqogvX2LvdzE1zUsAkcUoQJvR2Krx6PsJ2xTdwg9vzvZCHP9ih061wmSPLKnUnN/opVBoO\noBDGCZapM7hccPiwQ5pmtHvi4j55MYI0o9Z0MUyNLM04fNDGzDWTvheymgfs3qrzk392m1//dsVm\nHbHMR8Ig4R3BJqS3W2ezDtneq2E5BvOJx9qTbvXoekW94fDgky36598g1nZvNTi4834giVMyufO4\ny4sv+qSpyLdWi4DFbMZqGVBvumzv1YpuTJqkDPvLYgR+s1GulgGvn0k3w3Lgxdd9ymUbRVVotF2S\nOCXNMi5PZlydLXDLJrXUQd/WqNRtLFt0nqal8eAHO0Xht1psiJOUydAjy2Skv38kBXi4iQnDpCg0\nri8XlKsWpy/HJHFWXGAk+VQ22FJZgpqiTYKqKkzGHo9/tEuSnLNZRxw92KHRcnn6xTVZljG6XlGp\n2Qyulmy3U9arMDf3tBlcLSmVTJq9Ek8+69NouTRaLqPrFdOhjP2nY08Mp1FGuW6xmGxIs4zuVgVN\nVcgU2K3XmYw8mZQlKaRQrdtohkqzU8G0DQkoc3T2Dt8vrG6WYercedRDMzVO8nGr6xr8xX9/l3LN\nLoKqKnXBLIo5XXwQpYpNZytl7UVcnE0L4/reYQPT1Gh+3GN4tUTTVeaTNRenYk7e3qsXn8ksg/H1\nkjTvWt6QJUpVm3LFolITiUqpLIFrWZqxtVfj4mTK/mGD9TpC1xScssnJywmL+YbxtVdcLM9ei8n6\n26vTK3N9McdfR7hl0ZtfnE7p7lQ/KJ+JIvlca6hYhiYXppbLKjeHgRjf16uQdk8wm2+vmz3w7X3n\n9p02cZTw5LMrKcB+fsLt+21M26C1VS5CqG4SpkG6km9TNG7d7TD6u9e4ZYthf8XgcoFpapRrVl4o\nR8xdUwzFo7V4ceoOn/3iDMvSKVVMkiQr9PxuyWR4OSfYbL1TvItsx2c5k059d1soTt+mz4RBhO9H\nxGHKYioXzCyTy1gcpxIQZmmUq6Y0gVZBkSrpexGTgYe5bxDnncNvN11KORUl2MR4S5mGrNcySXv6\nWZ/eTpXHP9pme18Kv806pJ0nNi9mPnuHTZJIJlzziU+pavHiqz6tTpkwTChXbZrtEoMrQS+bts5o\nsCowraZloKgKSZzy5ngk1C9N5e7jLkmUFr6tUtnkwafbrL2AZ19cY5gqTz/vYzk65YqFkU+YDh+0\nWc43GIbGVp7MfHBHKDFxlNLbq74TpkQmz45uaqiKGIzJPQ1nL8cy4cpS7j3eek8+tpiLsVXIYSnT\n0brwUAD46wjfj39v8V5vl2hvVZiNhcZVrdtob32d6djj9bMRYRiTpRl3HnVF+hmlhRTv8F6LzSaW\ndO784v771mq+4emXfcJNLFjjT7YplS1UTX3Pu7C1W83lURuanRLtXpnNJuLl04E05DJYLjdMh55I\njys2r5+PqDXdD5prB5dzzk+muK7J6HrJYrqh0Xa486jLZLiit1NjPlujqSqGqdHqVYrJruMa7B82\nCUORxdXqDs++uOLzX4qsp9aw+elfHhXyV8PSaXfKXA6+n0797ZWlGWEYo+kauq6ymPkFBS3LYHjt\nfbB4z7KMV89GRZDhbLLm8Y932LvVYHi9pFy12HpL7vj2axRsYnZv1bl19x8WbvWd7/q//tf/uvjv\nf/Nv/s0/6B//p17zyTcb/2oR5JKSFYEvI4vz14J61E2NH/7MLm7TuqlhWwb9izmnryZEYUwUJtx5\n2P3gQfX2KldsLNuT4jTX486ngnlTFHjwyTaDyzn+OpTit+WyWgjnXdd1Mm4INhm39x5zcTqj3S1h\nuwanL8eFPj/cxERB/A6fWFVlkw/8TZ5UqYrxZLQh3MRousrLJwMuT2eEYYK/DnNtmxR9pW+Zw7b3\najz6dIfZZI1laURhwvHXA2zHwHZ0Hv9otyhagk1EHAluSdVUJkPpzFqWzu7thiAvNxJBbFk6/fM5\njmtiGBqWo7N/2OLs1bgo3k1bxymZNHNu83y2pn8muD/L1tEM+X4622UaeRJnqWIzbi6ZjDzcksVy\n4RcjTtPS2DmoFx1oEEkVaUYUJ5y8HJPGKftHLUoVk5//++NC3zkdr9nar7PXe8jxk0FuUBOGdhQm\nHBy1uX2vhaqqzGc+X//2gmF/yWy0Zu+wgW3rlGsWuq5x9mpMlsnfvTqf0dutvlf4Oa7J4HKJXTIp\nlUxMU+PqbMZitiFNM7m8WVqhhby+XBRUA0WBhz/YLvwBWSZdVE1TRb5Ri2i2XZbzDcP+Ek2TTTHO\n+bOr1aboPk+GHmEoBrr/8L89YfdWg3uPe9RbDv2LBdW6TZoXe6+eDlEUhY0vxehNyqfjCgv+5ZOh\nsJfbLrPJGseV6VOSZCTtUoFsBJgOV7R6glyt1Cy6W7UiUW4x81lMN9iOwZ/97M+F4JIjGas1m639\nKpOBR5YKN16BwhdiOyZhOCdNUkzTyA23Ij0pVy2iOCXLPQ+arnD/ox7j4YpSyUI3VcIozk3kzh/c\nB95e9ZZLa1HOZS+JFAaaUuBGb9a9xz1G1yvGoxWTwYrF1Gf7oE5FU/GWDo5j4q1kgndwp8WLr66J\nkxR/KjjUStVmsQwINnFxaQ+DiM064vTVBMPUqFRtbt/rFAW0pDHL14/jlMlgxWy6RkE6ya1umXrb\npX82l/fXE1lUKS88VU1FUZT3OlndnRqPUzitjtF1mfJUytZ7hftosGR4vcpzAkSS4JYtDu93qDUc\nXj0dFJpnVVP+KDJEvSUYzVFfppViSl3jry/5Wf2Ixz/cYbUMMG39O82Amqag6xrj6xWrRYCiyn7g\n+6KH37lVxynpjIcryDIUHCajFaqqyL7p6GztVdkEEZtVRJbJhfFGenCzLNvg4SdbhLlH6Kaofrsz\n7i0DXh8PGV97XJ5MqTYcWp0SpqMV08i92yJJdEtH8v2r38g5UWTy+vkvTlEUSWU9etB5D89az6df\npbJZEKSUXIMdBBFnr2e0tyoYho7tmnz84z1621VpjGyXuTqZ8eyLa5ySSbtb5sVXA4atFUmU0t2p\ncHEyxV+FqKpCFCbsHTYJg5hawxFpVpwyn665zt/3+XTNl785R1FEZmCYOt4qzKeKM64uZhi6XPg2\nXkiwjrj7Ua9I/5UchyWLmc+te23qLZdP/3Q/z1TRC6OttwxyDF9TCGVeyJ1HXRxX49mXQynWFLg4\nmdHbrVNrOEWeyHi4wlsEXF8t0XVJX55NfKo1myhc88lHP8llr7+/kDZNnU//ZJc3L8ekScrBUavw\nV62WGy7P5gz6C9yShesarFeCjRQpHJQrJteXC6ajNftHje8ltRgNVoQb8SPNRj5Xp1OOHvaKZk2W\nCd3JWwpW9O6jXvF3wzDm5IVcsmpNF9vUePHVdS75FEVBd6f6QSrWarHh5bMRCrCcL/FW8lm8qU1M\nU2c+9ak1HbJMzrmNHzGfeKwWcl7sHNS58/AbrPjl6az4bM2nG2Zjn6MHHRqtEm+OR3z12SUl44DZ\nxKPe/GZauVxsJO2+Yr43jUrilJPjEcPrFaalce9RL0+9F09dEMS47offVzFdf3O2JUlGEmcc3G2x\n/4HGXbNbZnsZMB56lCom3X+E1+07n7SbZC2Av/zLv/wHf4F/ylWqmMVYpVI1OfoVkVcAACAASURB\nVH05ZuPHwtIeerTaLhkQBQlhkBTFuxwgZkF5cVwHJx9Rva3xvNHN3eAeZ5M1o4EUj3GUcvdxh2bH\nlWLL1Gl1S6iakF1uOqSrxYbOVoWjhx3SWMI7QLq+tYYgxAxT57O/P5WCKPtmzJSmKVGOfrQd6QTu\n7NcZWUuUTJjgr54PmY190ryQ2viRbOQZJGlGreVg26YcQo7Bcu6j6SpuyUJRFQ7utnCuDMIgZtRf\nySQAoQIs51JETUYex19fE8cpnV6F7k6F519eF1OKOE6LcAuAZ1/2uTqbMbxaii7yfhvHNdm/08Ip\nWyRxQqNVKiKth1dLBlcL2tuV3ICaUqpYDK4WTEYeH//4m0vEzq1GQcGYjLyCOHN4v/2e5vbtUWS9\n6Yq8VKEwbbV6JabjtVyS/Kgw9ymKgm7ouYHMpNUtF0XMfLImChOiSCYHvi8IvnLNYrX0GQ88YRg3\nXZqdEpr2fhdyMvIgy6RQ8iKqTZcwkg2tVLXIkuyd4KK3DalZRhF2Ui5bdLbKLOcbJoMVuqExGa6w\nXYPR9Qp/HYrxpuFycEeio3s7VTq59t7bCzh9NebZF9ekqbCCTVtneLXEsmTkXssnL+OBGC3NHMPZ\n3aqwnPu4JdHEq5qMLhdTv9CwTsdrCURSFdIkAUUlTUR69J/+9xfEUUq1bvPpT/dptkvYjsHlqRz6\ntabDaLDMTYoaw6sli/mGcsVmMvS4OJnS7kk2w9Z+jXATYToadx91OX4yEIZ002G1DNg7bHB9PifK\ntby377VFN5pBEsl0olyxufuoR7Xh/F7N63eufMxvmDrL+YbR1aowQKmqQhgmWLZOs1vi/M2k6P5e\nnk7pbVcKrfV8ssay9SJg5/JkRqlqsZxueDbr47gyrbthSgebmOvLRcEhP3895cEnW6SZdL0Aejsy\nLXr55JqLkxmj/pLt/TqzsY+3DFnMfMo1m8CPCSORG128nsr076j5QQMriP8jSVJG10vm0zVhkHBy\nPGb/sIGao/ROj8fMZz6+JxesIEjo7lSKycHekUwXwyCh2XYpV22SWHT0USSfo99nmCuXLao1R0b6\nuortiMY92Aha8g/RMlRNLSaWliPG1JdPh9SbEq508mLE4YMOV6czNEMjWEeYtnR/TUsvQt2qdZtf\nHZ8wGUgwnaqo/Pl/577TFVU1FTsv2qVJk2FaBmsvYHi9ZDn1SZKMizdT8VmECWmScvdRV6LdGy5x\nlGA73/xMnZ0qs4nH4HJJq1fi6edXRGFCte5SrWdcX8zZu918V1OdF7NZJvKKmy6ubqhYjoFhqu/o\n72sN2QP653Oef3HNehWwc7vO5HrFfOIzHQvNKgO++PUFpYrFeilY0lrDIUtTPv7RLigZx19fE2wi\nSlWrILpNRmsabRfXFRhBuyeyp/nYI1hH6Jqa+1RUylWLdS6RXM43LOYBX/zirJA3ZJnCp3+6R5qK\nJCcKY3RT5+vfXjC4XGLaKuUcBeuUJBBx+6CHYYzRdDWfSBpCZFqHDC6XfPGrM9I0w1uG7BzU5PxQ\nFdySxWTosXfUIE0zOt3K7718TseeUGZKBp/+yR6KIqF94+GKUV+wk5ORyL4Gl/K+WY5eELiSRFj+\njW5ZclvSTAzVf+DCoGnyZ2eTtWTcVEwMc1JMha/O5vzyP74iCBJKZYOf/eWdYtJ1fT5ncCVm/sHV\nkoc/2GaU583opoZl6/R2a4z6S2kw1Ozi7yZxSpaKBDAjYzLwKFdtgo3C1o6CYsh0L44zVvMNjmPi\neyHTseTXhEHCeLCSALF8D6rWHQaXS5Q8C+Umv2M+XTMdehIQqQht8KZ4H+RS5yyVbv29j7fekUVN\nx17RQPDjlBdPromjlPPXE9yKSaVq8/KZ5Hfcutt6Z7Ki6SrtXqUABZQqEjA57C+lwWpolMtWsQ/p\nusrhgw4Hd1vv+CjDQIApN8bq7/I4vfO+/s3f/M3f/ME/9f/D9fr1a+4/PJQbUlVCQS5P52z8CCMP\nX+nt1TEM0bFt7dbeGSFmQOhHbHxJ3WzmBtPlzCeOU1aLgKef9+mfzzFsjf75gsHlnKef9dF0lVrD\nIfBjdvbr6KZGq1smChIqNYfOdoWDO01s26Bcszm40yIOY+FII3KSRrvEr3/zS/yZxWYjHZtKzcF2\n5SAQLJvJZOgRhTG2I6Npw9CYT30sx6BcsRn1VyRJJjjKxYatvRreIpBAjJ0qbsXi7qMelqXz8tmQ\nNy/GDK6W2I7OdLzm7NWEk+MxgR9ju0au51NQFGGN2o7B8VfXhSlkvQoxLY3FdPPO+3Gjdc2yjJPj\nMav5Bt+LiiS8OErY2qtTqdpU605xqCVxyusXQ5JYHmAJPDIZXC6YDDwgo7td+eAh7Lgm3Tzw5Q+l\ny2WpIByvrxb88v9+zfXFgvM3U7Z2a0RRQqVm8ctf/j3dzja2o3P+RlCTg/6S9TLk8myOZUnBNR2t\nRXety0GgKPDRT3YZXC6oNlyCIIZMkhy/jdDzvZDlYiOvpyhM6GxVGF4tGV2vmI/XtLcq7BzUi45Z\nGCQF+UhRxfRy8yw3OmXIMp58flUgDOstKVpt20TXFExHp1K32dqtc3i/je2IkdR2DJ5/2Wc1D0hz\n30WapIwHHvOJT7Vhc+tui3rL5cWX1yzngfhIdqv4XkgYJHl6qugZTUsr8GeDyyVpktHbrRJGCb3t\nKouZT6liMrpaMp9KoFiwiSnXbDFftUuoikK16ZDGKb/5zS85PLxFpWoXG+H56wm2azC8WhJHCctF\nQBylpHFGnGRs7VQ4etShVLbY2q3llCTBcYWhFMSGJYjQesNBN3RUVRj97V45p8Z42Jb+Bw/Ft5dl\n6axXAfPJmizLcMqmmPo0hcvTGWevpsLSr9uMBx5x3n2cT3yqTZsoSPFWAYauEYZCrSpX5YJ99nqC\n5RhMhh6rZYBbMmlvVVjON6iKytnJFH8ZYto6lZrFrXstPv/lOc+/vOb89ZTVKqBStXKilUxPZrkR\nrdaSy4pbsjAMlfZWmTfPRxLIloGRT+T+w3/4j9y5e/gOV1tRFKp1h/l4TRAkKIqkz5YqFutVwOe/\nOuf0pXyOGm2Xi5MpwSbG90J0Q0JoNE2lWndwSqbkL4QJg6sFJ8djKQxHHo1W6TtpILZj4LhSbJXK\nVt4QEFli4IuZ2FsFhbTnQ+vmIE+TjCTNSJMUw9KpNeycwKFQqti8fjaklJ813W0JNbt9r83h/Tar\nRcDlyUxkObp8r72dKteXC67OZlJ05yExIim5ZnztMZus+fp3V3irkNFgxXTk5ZpvufCVa3a+11vS\nsfQi2r0yf/+Ln3NwcCDj/iBmvQ45fz0lDhO6O1WOvxJSVP9iThQkgvet2cUkTlGVfAqacXS/Q7tX\nxrR1qlWbwwcd6U5mWVE0XZ5OefN8xNmrqfiOcv2yYaiUyjbLxQbd0Jjm3oRGp8Ry7rOYB3S3KzQ7\nJX7392ecHI+ZjX0sS8Mpm4XOfXu/ThjGKDla07J1Xj4dEIXSze/0qoB8P7fvtwmCiHrDZeNHBdnq\nRu++vV/n2RdXXJ3NGfVXwtd+OpTJCgqziZ9LVmV/7W3LGRLHKZals3Orzmyy5tnnV0xHMpGJwpRg\nE1GuWsSxmORvOrgHRy2OX3/B3ftH37k/XF8t+Lt/f8zLJ0P6FwtqTWGAj4ceJ8cjjr8a4q9DojAh\njgTwUKmJmXd4tcRydPlcrUPavTKKouK4RpHHEMdpoRV/b2+yDVaLDePBqshwWc582tsVdF3jxddC\nTNI0Fdc1sRydVo5tHPbFfGk5BlkmacKKQj7F0Lj3cY9SyeTNC5mqT4ayrziuKfkMa/Gp6ZpKlJOz\nShWbYBMzvFzQ6pXo7VSZ5SqKLMuIw4RSxSpku61umSROUTWVasNGzcP9dFMTRnwOIXj5dMTV6Zyf\n/+e/4+joMM+uiXj1bCgXe1uyGSo1u/DCAHirsJBfZ7lZX9dVZhOf8EbqOVgXz6rtGAVEJI4FglCp\n2dSaLnu3m/TPZ/TP5xx/PeD1s6Ho+6u2ZEcE31ANQSYbL58MOHkxYjpeU67ZZGnGiy/7JHgcHX33\nM/VftWHVKZnczvVCNzrd05fCar7/Ua8wwbW75fc2/1anjKIotLcqZIpCuIl49kUf2zFI0hTHMQsJ\ny8XrKcu5T6lso+kK3nJDpWoVJra1JwEudx532b3VwHYMFEXh4I50jE5fjbnK2eqarnJ0vw0qzP/d\nmqMfuFRqFlfnCwZXS3Rd5fEPd1guNwQbkcaMBx6DqyWGobN/R4gBUZjir0OqDTvXHdtkiYQL/fDP\nDojjGLdks71fK7rn4xxTlyYZV+cLlnOf4aWMnA1T5eEPtqnlxpFO75uo8TQTvV+aCDfcsox3qAQ3\nrNo4Ttl4IbWmU7BjbddAVZXvpFZoukq5Kt3UG7RSHCbMJxtsV0gfr5+PuL5YcDvv4L+9vivE4u01\nGXm8fi43b93QJAU1L/h1Q0WLFHwvpt52ixAmKboVhlcLDF0Ou+OvB3zyJ7ts36qzXoeUSiZOWTCQ\nZ6+mTEcene0KW7vV4oJ3s7Is4+JkyvnrKY5rUGvY1OoOqiaGS38d0WyXCmTm20zb3k61MGaWaha+\nF/Liy2tUTQyFbtmks1Whfz4XHnanRKtb5uLNjCiM2b3doLdT4fBB773XZv+wRRyl9C/mlKtWQT9y\nmjYKFB3AW3fb4ry3dGp1m8tTGbePByuRDJkqTsnJWdMiZ4lC8UAoKLx8NsJfh5IE2HQLNCuKEFIW\nM5FA3XnU4fzNlDhK2D+SFMDxYIVTMlkufCZDjyYuaSpymHrTwTDEiOtNZJN8dNhia6fG0y/6ctnM\nR+eNlitd5qpcSiaDFVGU4pZMOrsVPv/VOS+fiHlye6/Gz/7bQyz7+5mIbMfg4ac7VKoO/cu5SJhW\nIW7JYDwUFvN84jOvS2DKV7kZqlZ3ePKbPnced9ku13n1dFgcEvW2i1MymQw8HNeQolCRidpNY9Tz\nAu5/1KN/Pis48fOJz+BSQm0UFEZXK/x7gp0Ng4Stvao0PcpCdTFys+vFmxm6odLZrkrnO4z54pfn\n1JoOF2+Evf42ni5NpTt507l9+1nvn8/RNOms9S/m1JsOYZBimDC8XjGfrlkuNtx52EFVVZ5+flWg\nOm/kEJAzq73w93bQ21sVdFPj+mLGxcmMIIjJMoVf/ac3dLeqmLYuLHjXLMgib/t4dEO0tmQZszzU\naTH1CYOEUX/JxYl8Zu9+1MVxTXb2a3S2qkRRzHoR8OSzK1RVyDyKIs2Z3f0Gp68mnL+Z4nsh5arF\nvcdddm7VOf76mrNX04JA5nshwSamvVUiS+HBx1vFpKuzXeHqdE57q0y15rBZh3graZx4y4BnX/Y5\neTEiiVN6ezX65zOiXCIBGf46xluFjPOLX5wnaXa2K6yWAaOrmOH1Ek3TePCJBD1dnc959kUfLd9f\n6i2Rvd2kBEsOR8wPf7rPZhNxcjzCWwUoiqAxl/ONXO7DpAizmo7E9HqTEzAZrjl62ObBJ1tcnc75\n/FfnkJFr43UUMkplOdt6uxWOn15z644U7bPJmjgSD0J3q0K1Ib4OXZdGyGLuE0epdGF1lU1eFANs\nNjF7h3X8lWR5uBUTtyyFfLlmkyYpy9mGy5MZQV64ZZDneehU6y6KolKt2Wx8SRh2c9N3HEnAWppl\njK9XhGFMb7tCpeYIq/5MaoDVMuDqdMb2Xr0I6dIMhY0vhlTLFhmX7RgoqopTMhlei2xre6+Oll9u\nDu62MEydYX/JeW403T9qvucPsR2Dex/1SBLhmIeBhCneTIVtR0fXVSo1m/OTKUmaUmu49HZrNFql\n4gIUx0n+PooW33YMwSK/nuRTepkEXp7OyLKMZqfMnYddlosNs/EaPQ+3e/1iiFt26e3VODmeEEcp\nne2K4KFLBncfd0V/rqrUmi5f/uacjR/T3a6yf9jg8GGHr39zga5rTEZrMuR9j8KENJPL7Hi4QjdU\nrs7n9M+ERHX/ox6Nbuk9bGit6dBouVydz9F02f/mE6GpeSuZXquahPadvhozGa1p98o0WiVePx+S\nJGlu2pbJ93Qshf6NH0JoflORxWYZ2/t1bt1poaoK44FX4DtXi4DBhUxR59MN9vuxQu+s/6o77zcJ\nrSDUhelwhVsWk1alZlOu2OwftfBWAc+/vOL4iRBEag1HxmauSa0hB/ov/+NrLt7MGF4t6GxVSZMU\nPe+CialUQm+anTJRKDHgrU6JYX9Frely9KBDpeYQhkmhwwMKzdzNB2a9ksPO90IqTpPB1RLT1JmO\n1limTqZI0dPdkrAg09IYXC6EEJBlrFcR9x53IMcb6qaGpmm8fj4iTTOmI4+jB23uPtoiSVMu3syY\nT0QOMckfEhBT3XSyxlsGBZbNLZncfdTj9r12oXkFCbrqn88EOdly2T9s0Nmq4rgG3a0K3Z0qcZzw\n4qtrTnLTz+7tBp2tCr3tinRBD2rfKUcoV6UjZDuyka69kGrdobtdQVFE7xxHkg74+1JXP7SiMOHp\nZ5eEG0nn03SFwcWCq5MZGz9k91aD2chn40f85KePKVVs1qsQRZFN9vpCDJmBH6MZ0q1eLUSmNOqv\npDt/tSouerOJjIB39uvF5Qek434jNVp7Ia+eDUHJsCydLFOKTnKzW+bWt8gT0vmzJIEvSYt/J0lE\nt7x9UCcMpSNnWTpBmFCr2dQaDo12KR9zN98LxJlPfZ59ecX42qPZKXH3UQ+3pHP2WmgzYZDIv2nr\nrBaByAE0RSQziw3rVchstKbedLEsg2rD4fCeaGwrdYeNHxfP1+XplOV0I9ithk1nuwYKHBw28Neh\ndKanPuWaw97tJp2tKh998kB094lEeKt51zgMYvYOm1TqUigPr5bMxj7bezXsvAt7eTrj8nSem/bk\ns+LnRKfD+206W1VanTLdnQpbuzXiMOZ3//mskMqtFgE7txqUypZgHs/mRVd9vY7yWHEpRDwvKOgj\nKLIXjXL9pFu2C3Oarmui29+r5wjIDG8ZYOWkrEZbaFNxlNLqlujt1Li+mFOt26zmG9rdMpW6zfZu\njcMHHVzXZDFbM+wvKVVsWt0SSSIej9U8YJ1jIJsdl2rdEZ2qSjHiVVWV3l6VxWzD2asJtbrkWVyc\nzJiOPCo1B0WFzTrm6Oi2FP67VTEcJiknL8ccf9kXudRsI3zpus3Ofp3lfEOwiYmiGNMSnfF0tCaO\nU8bXS2pNl9fPh7glE9PSi+A4VZHpklzOFFRNYeeg8QdNebZjsPZCTo4nbDwp/r1lQKlsoRsa3nLD\nYiZkrflkTSPnLt+sStVmvY4YD1a4JZOtvRr9i7k0c+KMMEg4ethlOQ8wLRXPC+mfzjl+NmCQ7++9\nHZkupYl0KK/O5lxfzFktNiwXAVu7dWxH5+ln16BIwF8cxmztVZlPfdq9KqOrJZOxFKePfrjNq+cj\nJkOPwI+YTwUrNx37PHp8j+nIk9c0StF0jVF/SRgm7B+10HUFVRUKUrNTElnDWghog0uBEjz7ss9k\n4DEbC/XJsnU2fsyXvz4XoEAQc30uUe6GqZKSsZj4ZGT09qrcutOSohIpuusNl4M7LZptYbCHYUKt\n4WIYGrWmw3K2yRtOjpwjtxs4jsX5yZT+2Zwk/5wnSUq1YWNaBpal09urQSb6/pucBBWFV8+GbDYR\n7V6FnYMat+62OXrQJQhinn1xxeByyWy8prcjnX8UaG+V8Vch1aaLXZY9NomFFGUYGoYpgYM3oVHz\n2Zrejnz97f06jbZLpepQa9h0tit0tiukaUaj2uaLX13w5Isr3rwY4y0DXn495PpyQTM3K/fP5iiq\n7OcHRw16uzXiKGY+FUDCbLyms1VlnU/RRv0Vqgbke02pZOS5KjpJJOZlzwsYD1fMZ2v8VURGlhPl\n3j1r5WdTJbTS1Dl80KFUlvPAsgVPffJqQqksZ7C3DCSBtmYXht9aw8VbikG6u1Nh51adUV9M+C+f\nDgjDpDB0D66WVKoS5GY7RkFEVVXBZZYrMgnUdJm0TEaeXFDrjiQhTzdCmxmvmY590kTOTbdkkiZZ\n8RzIpSKl3SsXMIBGvYfrmjiuTASiKEVBzstq3Wa1DCiV7WJPEVmSTJRKZZMkTjEdXdDQOzLhNC2R\nL3W2azLFB14/HbBaBCRRyqun4hUc9mXfzzIKKlq55jAerooJ32q+odF2sWyRfo0HKzLIm6Eifx5e\nLbEr8T++8/63f/u3/It/8S/e+/V/+S//Jf/8n//z7/NP/JOsLJPDL8syNF3F9+PCxFqt2yS5Zvz4\n6wGf/UIO5pdPBuiG+o7DdzpaFZ2jGypLb6fKV7+5FASaKqOxydhD0xT+2f9wl/UqKkyEi9mGLJXk\n0jCIcUsG9z/ZQlFV3jwb8vyra2bjtRy8+zUZDUWp3BpTGdVqugqKEBfiOCEDDo6aLOc+UZyyXGxw\nHClMRoMVvh8xuV6xWoXU6w66phSmNoDlzOfp765EpqOphGHMwZ0ml6cy2t3OI9NJARVcV0gVb3eL\nb9ZyvmH3ViN3t0tKYLtXeQeFOBl6hbQjyIu27naVl08HqKpKRsbBnTaaJiYmTVeLMXYcp3jLgDiO\nKdcdtqhx/maKpmsEG79AfUbxuy7ymzh7FCT8xDGoN0WiMxl5xSg9TaRDOJusZWMzNJpdMW1mZNSa\nMh5HEcPvTTBTq1Pi3uOu3KSjhPZ2mbM3U8aDFWsvZGtHwpxefHXN1dkaVZNY8KMHHar175bxSKKp\nwnIWMhkMuPu4y9HDNkmScvdRj1rTzU1EwuAvV61CFpRl2TvpiWmakaUZqqqyXm7Yud2gVreZDIWE\noGky8v92Z1RRFE6OR9INyoSHTAZOyRKNa9lC04TYdO9xj81a+NxbW1XaW3IhuzibUcpZ5avFhihK\n+Oq35+i6xv5hk9v32/zi/1yI7hHyC6187SiUjupiFvDs8ysxcN9v41atAosYbCJJVE1SNE1l40fs\nHzbIMoWnn1/KextnubEMVF3kEr/9uxPaW5WCAGDoKpqjo2qCRfvi1+fcvteh1SkVr6tuiOn4xmvg\nVARL9vr5kOUiwPcCdEPjy9+cU6k5WLbO0YM2Z6+nwvK9WtDolNjeq+F7AW7Zotly8dchliuGx3a3\njG4oeYGeEAYpvh/Jxd2R/IX/5n8s0T+fC5qtv0BRFEzLoLdbo1KzBVVaMhlfr+jtVGl2KziuRRwL\nXWQ69ogDMQ5XGjbVmkupYpLmPpobnS0okiJ6qXB5OhX973Ij6M78a6y9gE5PmOkgBJCbce9ytuHy\njaBoVVX8I7futehsVYoMiDBM8b2Q7raEad191M3N8XrBu47zz7RuqLIvxilxnBZ61q3d2vcKiUmT\nlOHVSvCYx2NSUpyyRZpJx7Cg8wRpkb76bX3yzTg8SbLCID0ZrlE0BdcyiXIE7ZvjMcvphjCU1+n0\neJxfYHXIZA/YbCLskkG95ZIlcuHz1wHeMiSOY5ySxfBqge9FhGFCd7eGlkvc0iTDtnWGfY/h5ZJG\nu0SwiVkuAjEHphmL2VoK5CCm2XX5/JcXlCtW3s1bsnOrnnfIQy5PpsRxSq1pM5/6hGHCahG800xJ\n4oQ4ShgPlswn6yKrYb0KRBKjq2zt13n4w23qDZlQWrb8fMu5ZHMMLhb0dqvc/7hHo13i+Mk3OuMk\nkrTmGz/H7bttOts1xoMVaZJRrTty0d+EHNxtcnU2R9dV7j7u0ey4DK+Wwrd3BeE8vl7RaLtkqUzd\nf/RnBwWFazlbU6k6ZEAai1Thox/vgaLw2797g2nrnBxP2LvdEA/RQhKJNUPj7OWYLMsK42m96aKq\nivhu+gvSNMW2DUaDpUAlwoTeXo35dM3k2qPSsAj9GMc16O0KWnc2XlOuWDz4pMd8Jq+loqp4y0Ca\ngXHCl7+6oNktYzk6YRjDSiGJZAqwXMglNApTri8X3H1ko+oqTz67otF2uTydUW+5nL2a0Dh3qbdc\nmS7l0+4szRhdL5lN5SLT2amia9+899W6w8Gdlph+p+KDURSFL38tUzfd0OlfzHn1ZEi16dDbq5Kl\nQCZ6+dlEgikVTcn3biW/CEpTcNRf8uZ4xOnLCbarc3CnxWIqCcv1liu+RUU61G+ej+jtVonClLOX\nE5HJqAKAmIw8Lk+n3Lrbply1WEx9phPxCDz/qs/OQZ3LsxkKYmY3TA1VpcA9O66BgspqHnD+ZsLD\nT6X5++LLPk8+k7TiMIi5da/F4YM2W/s1ZuM1W7tSs6kKeOsI0ozLJzO5OOQQj/T/Ye5NmiTJz/vM\nx3cPD499zcg9a+8NO8ERtfEkGx1kJt5p/AL6ADQdddC30HUuc6CMHJuDZEYNSEogQGLpblR3VWVV\n7pEZ++oR4XvM4fUMEIQZhNFImgkzmMG6ga6uyIrw//99f7/n2f7yuZqmW0xTCIO9uzkoWzmDPG4Q\nM/9Dmm6p1Bx0XaHXXTIbi8Rz5QW/lfPlt5q8/7N/9s/41//6X//aX//n//yf88d//Mf/1V/kf8Tr\n8vKSbZTj/HWf/v0Sy9Zloq4plKoOpapDJ5twXbwdMOzJTS1JUmotdyeWkAuAmBStnIGuqzz/uEWx\nZGE7BlEUM5/5xGHCR9/sZNB9Obyl2RccCArt5mIsB7t1SKFky5RnumHU98SymTNotAusvQhd1/jR\nj3/I02dnOK5Fa79AkkC14VDLPgD+JqR3t6BUyTEdrZhNN1nEQC4LtxciWfGWIe0DmWy7BYvDsyrD\nntgHV16Ibqjouui/W50iewdlHNei0pCpSLCJ0TSVWssVYcTfy809opviOEVTVTrHlV/j4K6Wcjh+\nLM4Kem2BqolSvtddYFo68/GaizeC+HSLNmEQS4kpSOTQvwh4+nGL1n6Jaj0vDfnxWoq/LSEejPpL\nhr0ll2+G3F5OGPU9vLnP4GFBzpEp3vlXg2zjkVCu5ri5GBEFqRzqZhvqTRdNU7Byks07OK7yn//L\nf8bN1dANjbUXEIYJ/e6CRqfIydMamq7hr6NMGBFSaTgSe9lEO0tsvVXg+isxmAAAIABJREFU8Kyy\nkzgBuxzrY/ZwOlxRKEu2zbR1mTb4CY1WASdv8uHtkOv3I/rdOXdX0yxqksPOSSEySaSToapK9kW4\nkelEKrrxVqdIueYwHcqk2C1Y7J9UiKOE918PMqyjHJ7HfQ/dVFlMNlIOLJrMxpvdhU+cARatgxKH\nJxWqDRdVVQmCCH8TyUq+J5fJQsHKpu0hUZTgzX1Wy4Dhw5JayyXnmJy9bLJ3WKZ3N2flBay9cCfE\nEbJNcUfZ+d//t/+DeCOf6SRK6ZyUMS2dt188sFmLVG06XAFyGajW8kJj6MoWo9Z0d//Mn//1Db27\nhUTMXBvHMejdL+ShMFyhqArNvQJbthTKNk9eNOleTZmO11ydj6g3CiRxyqgn62xVVQk2MUmScns5\nycyZJpfvxqiaIp/XyZo0FXLU/nFF0IiLgEF3SZKmfPUzkbQ9/aiJYeq09yX7+f7rQTalk9KnnRGe\nKnUHby4HwPlkQxwndK9mIipZRzTaLkGQ0Lub42WXnn5XBHF2ziDcxMSxbGtyjkG/u8B2pKx+ezFl\ntQwwbYN80cLKGSTJls5hmVrT5ar7Fb/zDz7dxQ+DIOLqfLTDx0VhwsnT2u4yZFo6zb0C+ydlFFVh\n5QW7aeDV+YiVF/L0Y7kUTkZyoC+UbB5uBBc7HniYpsrBSfWXv6YfsZjK73vlBVy9GzHqy3fMNhWx\nUhQl1FsFVFWRw1kKlZpD3jV592WfyXDNfLahtferCMHp0JNCo6nj+zGqAsfP6liOQaXm8ORlg/69\n/Cy6l1PCIGE58ymUZJIXR1JmUxT597y9mDLPLv35gs3BaRkny4YLvjNiPhHa0CNOdO3J57HWcuVz\nvFdAUeChu6BcyZFzjIwRveUnP/sx28gl2EjUKPTjTBol9umjJ1U0TWM6WmOYGjnH5P5mRqFoo5sq\nZy8asnHNoo3PPmmzXoV0r2cUy2KBTGOJGAVBzGy0ZjZes1r4RHGCrmsYtvRGFLbc38wplG3Zsl3P\nsB2Dw7Mqe0dl2vtlet0ZcZRmJDODetPNLv4xbz5/kCy0a3L6vMFitpFfb7IhWEukaDwUAVMSJyxn\nASsvoN6WgmijVWD/pLL7bry9nHJ3NcW2ddqHJYqlHPWmy93lmMXMR9M1kli8AI+Ah4PTClfvRzzc\nzBg8LEnTLc8+alJruEwfB0HFHDcfxqTb7U4ENZ+uSZMtP/i//hKizJCriDNlPJCNbK2ZR0FFUaFY\nylGrO3jLQDblkxWDuwXXH6aMeoLNtGzxZJiWRqFkQSZpk+GUDJ+CjbwvhqmxXgbkizbT4Zp0u6VU\nzjEerMgXLLbplsvzMT//62sebudcvx/LoLE7FxxuFkO1bJ3NKmQ88Ng/LLNZh6zXEf27BXZO33UG\nvIWPrqmcvRJr7d3VhOlQhnZ2zuTrnz/sZJVrT/jxw77H2y96LBdifb98N8ayddysbBqFKXsH5Sxq\nIiKmxwFVNdscn78ekMTpridl2jooW3KOxWyygq0UyL77e6e8/fAFjfoemqpQabrYOYNa083M4Aqa\nrmU0t0J2GR8xm2zYrIUxn3ct/E2EpiooqkoYJCTJlsMnNdmC+QmrpcRT116wky+pqrqDRFyfjzBM\nAZ24BQu3aO/kTIdnNbylz8WboRSIXVOEcoZGGIgHo9522arr//bJ+5//+Z9n5JOEP//zP/+Vv/fh\nwweKxf/nWt//nq/u1XT3Q+53Fzz7uCW6+yBmOl7tbFnVhoumSy7QLVq7KUwYyPR8Pttw+rxOmm4p\nlW1KFYd3r3sYhsZkuJZMmq5yczHZTZeXc59cXtYexYoU7LZbmd6Uyg5f/+yeONmyTVPKNYfZSHjv\n5apDFIn8p5UVQu2c8Ezzri0xgL5HFMSZOdSjVLFl+rKJubscY1lSVLFsnThOMU2NvGuiKHKLXk5F\nFCIf7JDlzOfZRy0UVdmVbJI4JQoSFjOfxXxD6MdsNiJ4anV+ebFRFIX9kyqWLWvpR3bw39dxL2Yb\nxn2PlRfi5HV+71mdMIjoXs12K8jz133qbZF7xMuAh9spk+Ga24sxaQKnz+soGrz94oF+dynYpo9b\nWWNd5e5ywrAn5Z27i6lEJJBY0qtv7mXrtBXD3pIoiFkufHp384wKVCBfEItqqZxj7YUYlp7dfGVt\nF0UJ07EU5B616IVyjjefPzAblfjoWx3snI6mK+SLJtWGWPkCP9rxaKfjFffXMh3RdDl8nb/uSzvf\nUDl+WsPO6Vyej9FUlc++d0iwiXYlrbev+8RBTPdmhprFBsZ9b0eVyRdMjp/WabRFOX79fkz3dkYu\nm4KpmkL3ekapmuPFZ20UpBtiWjofvh7sijm3l1OOnlQZ1B3m0w2NvQKmpRKHkp0N1iG66exW86qm\n8vyTpsh1kpTXP+sy7HmslgFnLxrk8gbvvxJKh/waW0xTJ+eaHD+rEUUJx2dVaq0CYZBkvQ3J41bq\n8n47mS8gTbdEkZQNm5WUd7+QLoppawweF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lGzDsx0vObuaorjmtnloEq+YHP0pMpqGRBs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\nYk67X5J29mLD8GbJ+9/d2UZXbi5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XZjpecTdYsHevxnQsxUQFRfjFlo1l6VRqNr3dCvWm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FdHFCZYLejU3GiZ2DuqImSBCbsHFdRbFr78jDj0/jqGv6ZR2/7NGqGafHKac2+QNtyajvUq\nKo0nTlVj6XZrqJqEWtPAbLRBvWMhTXIc3mzAcBSsZj6CTQJZFxme7vXrzdIcr56OEQYUiLGY+vDX\nMTp79LDTDJk6u7r81sNHN2VcnszAmlTvFGmTkYeT5xOEmxitHRvLBXVRZ5MNRoM17IqO1q6N43sN\npAlRJC5eUgJorWkizwvUWhoGlwkF3OzakOTXGsYkJk65W9PRaFs4ez7FybMhwpBIOL/82RlUTYBd\nMWCxgCEyaeqYTzcwLfWt1/zNNFOeFWfLmQ9ZFaFqItKEot9F8fXnZzsaDm7Wcc20ygc367+2cH9z\nbUe72002z0jetJz5QA5YloLje803uk2MGJLQPZhlGfw1BbFQx1bF8b1mmQKYMt3ujQcN+OsY/fMl\nFrMALZZwSRMUHjxHHa6iKNhINEPOFejuuyUp480lK6RL3OrGmzs2vEUIUaRDjvWewj3PC5w+nxD2\nC9TtPLrTQKVGtKo0zZFEKfoXC4wHXonle/X1mAgTqgSbSbgAGt2nKaEy3zxcbJfGYtTjKGO+APrs\nDEZGWC0CYkAzNnQYvE2EUXWJEj+Zr+OEFauSLKDWsiDLQinDAFDKdmRJKENVCpAh8P7HXQwulzi5\nlIECWC1oerDls+uGgrsfdDCf+BAlAY22+a1d3fL9GXIZABaHKe593IVlq29Ra7apz0mSo1LTYDka\nioKSpHNmEo7CFM1O7y1a195hFbsHFeR5gfmEcKFOVS8PG1lKbO8tpx4gGWK9ZeHoNmUVaLqMm3db\nWC586LqMvKBmhWUpmE18LGc+LFtFp+fgxeNRKTdYTn08/N5ueU/KMlHIiqKAphNYgcKgRNy812J4\nSx+nz32IEjWRFtMADz/ZRb1JxYxT0ct9dcK02/WWiZ39Cr73ySE4DuV72z+uod40cH2+LKkpgU+T\nvjwHeJYTwQHv9bMAVKxNQAUo955cCV7gcchACbzA/crk7t92iUyGcXynwdJNxfe+3sWEGnaEPl7i\nh//t3awJQeTLDJjh1bJ8DwLTVwcbyiLYyhrcuo7ju0346wgyM7i7Vf0tTOebi+M4NDs2ur0Kbj/o\nYGc/euuQZ7skwXjx9RirBdFebt5rfaskFiA5z4SZy5MoQ71lIfQTmJaI3cMKdEMpQ7DuftCGqstv\n3c+SIqLKkmy3ElHTUb+1cN+u36RQf99qtC2615IcFpNevrnyvHjvXrxdnZ6LjRcjjlJUWC7Em0s3\nlXKSDRBdaWe/QjWNKLxuUH5j9S8WJbFvi7iuNclnlWZZmYUBUF5IrUl78fsSwvdvEg45STI0WuZb\nn9N8ssFsTPdm4CcYDT3cftAug7p+3X74267/mD/1G+tP/uRP8A//8A9oNpt49OjRW7/313/91/jz\nP/9zTCYTVKtVxHGMP/3TP8Vnn30G/n+z92YxkmTZeeZnm7v5vnvsa0Zm5L5WVS9VxWaz1VT3kGxq\nGRFoDNAjguCQECioQUAPehAE8k0SQIIC5kkSBEiYITEURFIjcKhuNZtVXb1VVlVWZlbuGZmxR3j4\nvrvbOg/X3DL2jNyqRal/IJHwiHBzc7Nr9557zn/+X5b5gz/4A77whS/se9xKUTgGVoptPzDMj8aZ\nPZHdsRBoAYVwJECr2QfPot512DOgbNvh0d0tv8Gl1zWZO5nfIai/nwLHAIl02N9FFzeb3PtkE0UW\nqjCDAakFFaqVNqlshHOBK0SjQbSAwshEgsJak25XNIX1uiaFtTqpTBg9EvCzL4GgyuypHAu3i0IH\nejKFBETiulisPVWJdrOPrAob6JWFCuViS9gu6yIrPLNLnhLEIn73xgblLUHXOXYyz+RMBj0UAFxy\nw1FcR5hMdTumH4g5tkM4IspSqqawcE8ELVfemiKZDhON69z8YFWU5AIyD29vUdwMCQ3bjnD706c0\nkMCybIbHEkwdS9Oo91h9XMG2XYZG4jvul+PJ0TmOK9ReUiGvNF0lPyYyeO2WcEGMek2mAOlshONn\nhmg3+4TCAbLbSohvvP5ZPv7xiqf6o1De6jAykWBrrUG/ZxFPhlBUYRgzPpUikQ5TLDQ5Np+l3xf8\nV2RYuFtkc6XuBdImlz837akCmSw+KBFP6pQLLRyPszkosYdCGo4Dq0t1TqcinDgzRLXcEfSipSo1\nz9Vy7vQQsbhOv2eSSIcwTYdeR2h1N2tdFu4WmZhNCz3ixRrJdBjXcYCdwfnIRNLjq7JjI+c6Ls16\nzy/XRqJBRiYSfpCwe8yPT6c8Q4wo+ZGYx6mO7ygTJ9JhMvkIrYbgLw7kEYNBxR/Xc6eHRMBmOaTS\nIRRFQnIR5jKNPpFYgEQ6RDoX8QOf6RNCR39oNC7uSUbYzm9XB9j+vR7dE3zioK6ycHeLoK4STwiq\n2ORcZg8tBKDjGYosL5TRwxqri1Vcj2qnBVRUVcY0BVXnwZ0tJODYqSFf1kzRNeY8WcbSZlNUbTRh\nt/7xj5ZJZkJCJtNTpep3TSqltlD8AUbGE9i2y8x8lmx+b8lbD2mcODtMYbWOrMp+UF8ptblzfZ2N\n5TpIrsji6ioTM08oVI2aoBsYfZt0LkwoIqTkCusNpESQR/eLLD+sMJY7STCo0u9be5IjsURo303I\nQZiYzfjUNdVzd3QddpSaVx9X2PBodJtrItMWjgSJJ0JoWsN3ce60+9QqXZLbMvaSJKEo0r6yeqqm\nkB+O0W6KfpFBM9n2YEqSJHIjMXIjMUqFJvc/EaWtVqNPudgSvgSeG/YgSAZRYTH79p7Ff22pyvKj\nCoGgQm44zuhk0s8iHzuZp9Mx6HdMFFU4nAZ1dcdcZ5o2929t0fJMXyqlFuP5E9z+eINUOsT4TNp3\n040lQuihtv9eRZGoVbosLQiHy1QujCIrTM2lSe7jSD7gr3c7wnwtldkbtMqeozkICVLLED1hu6lY\nz4PxqZSgHyiyqOB6xm7bZWi3n0duNE48bYnm+wMC7AESaTG+JUkikdIpbbWRZdD1J2thPBESAgS1\nnqDPHVEl5K233gLYd/4ob7V8Sm2nZbC1IczeDkLb6/NRVVGdkhWZi5+dQNUUwpEgzXqXOzc2BDsg\nIHPyvKgW7kZQ15g/NyzUbVT5lTElkukw566MYxg2obBGo9alXuuJeVhX921m3o54IsS518ewDEFr\n3C09q4c0Tp0foV7t+v4csiIfOOcM7kUgoNLmiaz09nkrk4mw3hHzyyA+PAyhkMb08eyhfzOA64rq\n8X4qgS8Tn0rw/qu/+qv8w3/4D/nGN76x4+crKyt8+9vfZmpqyv/Zv/7X/xpZlrlx4wbFYpGvfvWr\nXL16dd+Bd/fGpuhQr3ZRvczmyqMyelglFtP9h1nVFI6dzhNL6IxOJghHggR0lVBI20H/EdrZTya+\ndkOYbsRTup9hOEyLHDwpr+UaN66uEvD40Qt3hQRUpdji3o1NTNNBkSTBJ5XALokGz8Jag2BI5daH\na8ydGWJ0Molp2MyeEMYFA9im6ymnCASCCnOn8yiKzNpSlaWHopSmKDLxlA4S1LwmLy0gbNZbjd6e\nXXar0adaEgZNruPy4PYW49NJ+l1TBOV3Spy6MEwmH+H29Q0isQB6KMD6So2xqRTlotD+DYaEFXM8\nFfYzGoGgwsrjFqGQRnGzSTiiEUmHiadDZHJREqkQzVoX03DIjsRQPP7rQIFBUXded01TGJtK8eje\nlmjMjGikcxFMQ0jb1cpdHNelvVDxdWPjiRCSJBb1/RZ2wY/dVgLEZXg8SSQiaB1aQDQ8AtiWy+mL\no+SH40TeDPruub2uxa0P1vzM/uaq0OHXwwGGxxJUim2qxTZNrxpy6sII514b4/4nBdSAwuhE0pO7\ndGjUep6boIke1NhYq6OqEulsBNdxRYNazyKREmo1lunw0Y+WMPoWvbZBs94jkdKplNoUNppCzm0X\n9suSrDwqs7xQxjBtttabyLLEsfkcJ84PU9xo0G2b9DomqWyE0emUMByZTO7bgOZfSVeoX0yfyHpN\ngCqZXNSXch3z1BlGtnEiJ2czLD0seW5+Imi0LYezr4mJvts2qVbaovo1Eice11lbqlLaahONBZiY\nzewotbeaPVYeVZBkKBeabKw2yOQjBIIKlz435buEuq6LZdmCXiVL1MtdyqU2WkBl4U4RPaSxdL9E\nOh0hkQmztVan0zF4fK+Iqgqnx0d3t/j8l44RColFIahrTM9lGRpLYHSFutOal3DotA0c26XTNlha\nKItEQ0OougSCKtnhKCMTqUODo/2yg+Wtlj+3ZfMxKl4Dqm05nDwnMnaba3WM/iAD3WFiNsXdG5sE\ndZV6tUenbZLJRwRNYkQ4V7YaQio2uU9gdxSEQhpzp4Z4fK/IhicDuLXe4MyVcT/4qZSfzMODex2O\nBJmaTVPeanla8g63r61TK7U59/rEHk4xCG32Zq0rDM/yMUH1mMugBmRS2TCthkE2H91XvQrwq5oA\ntmX7CQsQgVUqG/apEjGvubbfE8/HIOGytlgDF4yeTWGtvqOMHooEOHNxjK0NQSXKj8T3ZOoMryo3\nwOZqHSsfpec1JQdDKv2uRaPeEwZ/lo1pCh3s3EiSzbU6juVQ3mrRrPeYmE2zcLfIhTd0nxYwgOpp\nZR8F9UqHe7c2USTRdB0IqgxNJBibTB0qLnAYEukwF96YwDAFpdG2bKKJEKF9+Nbj0ymhF69rpL0G\nwgGKG01R2Q1rjE6KxIMe0jh1YZT15RpryzWSKWG49/D2FtnhmL/GJ1LhfcfSp4Fquc2DWwW6HYNm\no8+x+RxjUyniySfnUym1fZqaZThC1eSAQFaSpKduqrptg07H8IQRVNLZyJ5x8TSEIgFC3l4wOxQT\nBl49i6hHl3kaNE1F299nc9vxn36c7ZiYzWDZgko6PLGTkjc+k0b33KWTmfAzH3s7UtkI6axQBArq\nKtl8hMUHJUEhHd5J9X2Z+FSC97fffpvFxcU9P//t3/5t/sW/+Bf88i//sv+zO3fu8MUvfhGAXC5H\nMpnkgw8+4PXXX9/32I7tYFrCHavXNalV2hTXG6z0qsyfHfKDx0g06GebV5cqLD0oAaLMOjad8ge5\nFlB8m/nlxxVP7F/l1PmRA3d6tUqHzZU6kix2e9VKB8eyMVxhkWxZNuvLVe7e2MRxoVkVcnNLa7eJ\nRC8zOimyn6GIJtQiuhZmXyglRGJBssOxHZuXQZbFcVxUVSYSf1KqGmhBA75MmetCMhmistX2jQn0\nfUpDqqb4+t4gArvH90seV15MlqbpkB+JYZqOMFv5eJ1YIkgoIrSolxcqBEMq41Mp9G28sEw+RqXU\n9krzYbodk0jMIRPTGZtK8fh+0c+0VcptTp4f4dG9or9JWbhXIhzTPUk1we/v9Uym5rKMTCQpF1oY\nfZtAUOHRvRKNapdUNozRt1hbrlLeanH8zNChXd9Xr/6I6ckzrCxWwBXlvGQyRCodZng8zoPbW4TC\nopHPshzKxRbRhKCxDDIpd69vkEiF/PuQTEf8xTioC1fYVqvvqb20+Ki9zOtvT3P5zSnPstti8liW\naqnjbxQatS6aptD2yvOr3vlJXiNnvdqjUuwQjogFyjYdXFls3lRNoVhoUlipk8lGnjpJNapdCusN\nTMuhVup4bqM61XKH1ccVuh2TR3dFn0Gu3sOybObPjTx1gVh9VPFdFaulDmcvj5EdijG+S0JyO+49\nvM6ZU5dwHNfrfRCqMZGoyMIl0jC8zR+gVGiy8lgExN224dnei2yJ47isLlaRZFE52So0Bb/RFOpD\nA81r07B4/KBErdwhEgsyezKP6zjE4zqlbsu7puK69nomxdubdFomlm1Tq/SIRMUmMhINkBuO79ns\nh0IaoZDmU2hAVJsKGw1sy6FVF/4BhiHOK5kWz21lq8PwZILh0YP9EHpd4WQaDAnaTCAgMnXpXJhA\nSEVtiD4Hx3ZEg384gLwrKeK6+Jv6Tktw36MJnULlAacio5S3WtTKXTbXGpy+NHpg0HAU1Gvb5yqX\nXsfwg/dkMkyhI8aLJEuomujXCUWDjM+kKG40WbgjOKuOI9w/dwdczXqXO9fXRQ+ErtKsi36eWEJn\nYibD2KSg1xwWqMSTui8NGNQ14p5fwcBvIJYIkUiGvTEaxjAs7t3YoNe10AIyc6fyBEOqUPBRFEzL\n2hPYbp8/9kMgqBKOBPy5MBwJ8NH1q5w+cQmAaqVDrSSUvQrrdaaPZ70GQ0H7qJba2IrjqT+Jz7Yt\nxzeOe15srjewTYe+ZbG+VBPzrWETDgeOnLHeD4OG2shTKDnZoRjhSADTcoh4btggNhUP7xT8BIrr\nuP7ar4dED0C39cRELpmN0OtaL0QBGvCsHcf1G+xBCExIkkQqG6Je6XoKUgdzoJt1IeEsjOc0wp5S\nGEC/Z7Bwp0i52MKxRVbbdXjmQHs7GtUuC3cLlLbavjra+FSKYyfz+yYqbdtha6MhNqe6hm2L/r/c\ncHRHZTaefDUB61EwuBfReJBzV8Z9meTtUDWF4bGjecs8DYGAyvEzQ/R7gr748HbRVzWsFNucODMk\nXOF1dY9ox4vgUwne98Of/dmfMT4+zvnz53f8/MKFC/zn//yf+frXv87y8jIffvghq6ur+wbvv/9/\n/g5DuVGh6qCEGMlP88brn6XTMvjkzjVWNyP8va//IiBuKMBrVz7D6uMqNz75EABJeo10PsJH164C\ncO7sFdYXq/zwRz+g3eqTG/oMluHw7f/6XfKjcb8ks/14929tcs17//lzr6HIcOfBdYqbTT7/+c8T\nSyT49re/y/pinfNnr6CHNRbXbtNzC2SHo8iyzN2HH7O11uSNNz5LZjjC7XvXMU2Lr/3tr+A6Dv/p\nj/+CftfkS3/jZ8mNxCm1FqiXOsxMnaFe7vEn//H/IzccY3L0FPVKh5u3PkRRZf7W3/0KW+sNNqsP\n0BIWZy++wehkkpu3PwKelJi+973vYfRt5k6fxTAs7j+6wUYFzp2+TLXY4c79j6m0kpy++DXqtS7v\nvvM9ofl+4iKRWJA//Y9/jmnaTI+dQdVkbt75kLad949/7fr7rC3WuHzpdSZmUnzwwY/pujEuf/4r\n2JbDt/7iL6mVO7BbcB0AACAASURBVBw/dp5YXGejeI+15Rqn58UCdePmBzR6i/zNr36JarnDf/rj\nPwcXzp25wvTxDJX2Y2zbJs0sgaDCg0c3MO5Y/MwX3iYa07l2/SoPlwL8ytd/AS2g+vdv+/385JNP\neOutt0hlwvzgR99nZWOD6bm3abf6vPNX79Ju9RnLnQTg5q0P2arFmZr76o7xcOH8FVqtHt///vfR\nQxrnXn8dRZX9358+fRFNk/nz//LfkCSJE8fOi5K2s4JtOXz2c28SjQX5o//r/xUc2jNX0AIKt+9e\no900uHjhNSRJ4jt/+V2K6y0+/+ab6CGNDz78EbFkiNHJOTaWa9x/dENI5LnHmZpNc+veNVYKd/jF\nr/08qqbs+P6u6/L973+fTrvPscmzgoa2dZd6ucuJY+dRFIkHj29QaoY5OXcRx3a5v3CDjbJOKvsz\nO77/7udj8Pqdd97F6NucO3MF23J45513iSdDe8bfZz/zOUKRAD/4wfe5efMmb731FmevjPGX33kH\nTVP4zMSxndf73BUc2+Xjmx9SK7fJJeb8+7O8HmL6+NcAePfdd3l4e4sL51+j3ZBpGcs06z2SrRmG\nxuN8eO19Nssp5mbPUdpscfOWmB+isS+RHYrx3/7bX+G6Lpn8BKFIgMW1W1jqBtm4OJ9bt69hmjaR\n2ElUFVrWMh99XOftt9/ecz1s2+H23WtsrtU5efwisiRx9/7HGIZNUp+hUevSMpagHSTVP8vSwzL3\nHtxACyr8H7/190jnorz33nu4rusf/1t/8R1WHlU4NX+JeFJnq/YQgLGhk4QiKv/lz75Fr2sxf+wC\nZt9mvXSf5FKYixdep90yeP/9HxJL6lz+/FdoNfr81XffpVnv8rnPfZ7yZov1wmOufqAzlp/Hth0e\nLNxgq5bma3/rb+74fp/5zOewbYerV3+EJEkHjof33nuPwlqdkew8ALfvXaPjZPkbXxaJm5XCHWrV\nDqfmL9HvW/zx//3npHIR/vb/+lXGp9O8f/VHrJeqXL74Bqqm8NH19yk1MzuOXym2ycaPEdRVvuPd\nvy984WeYO53n7oPrh47X7a9PXxrlu3/5DoG+yts/8xadlsG16+9z+94Gb731FkNjcd577z0WlmB6\n7DS9ruWPn3jyZ6hV2nz/ve8jKzL/2//+y+jhwFOfl+2vtYBCqbFAvdrh9SufJRwN8F/+4v/BNh0u\nXXwdRZa5eetDwceNz2GZDjdvfeg5TP8iWkDh3XfeJRjS+Jm336bdNtgsP6D23cdcuvAGkVjAX/+O\ncj6D16tLVWbGTmP0Le4v3CBW1nnj9c9imvYzfb9qqc23/utfomkKv/C1LxPUtWd6/+7X/b7lr+/n\nzlyh3erv+H0mG6HrLLNVaHH58hskUjofX79KIKg+1+cB3Lx5U8hmpo5jWy4bpXvoYY1EaBrLEPdj\nZCLBV9/8MlpAOfB483MXxPG88TMz/+T5WluqQmcIRZG4de8aw+MJvvSlnyU3Envu6zWam8dF4kc/\n/CEAr8c+Q7nYZmXzHbTA3utxbPIs66s1Pvzwx3S7Jm9+/k2Mvs2777zL+Ex63/mu1zX5s//0F/S6\nJl/68s8yOpHiBz/4/nPfXxDznWU5fOlv/OxTx4ssSy80no7y+oc/+gEg5r92q+/fv/m5Cyw+KPPj\n938IksTf/ZWvkh3a/37dvHmTRkMkLJaXl/m1X/s1DoPkHmH77TgO/+bf/Bv+6I/+iGKxyM2bN3n3\n3XfZ3NzkV37lV572dgAWFxf5pV/6JW7evEmn0+GLX/wi3/72t4nH48zMzPDBBx+QyWSwbZt//I//\nMd/97neZmprCNE1+4zd+g6997Ws7jved73yHdilKPBlk7lSecFRn5XGZq+8u4jguyXSIM5fH95QA\n+z2Tj3+8gusIhQ1Jljh5fnjPrns7/QSE0cfIPuXEVqPHjauigVNVZWRForDeYOlhmVhc93i6YcIR\nDcN02FptEEsEGRpPsL5UEy6KhugGzwxFSaXDZIaiHrdeaCEvL5R9Tn+3Y4jGk6CCbbk7aD7z54aJ\np0JsrTfo94R290DTeXgssaOpZXAtLNNBCyqsPq6K9/UFHaJcbBMOB3Bth74hMtozJ3IMjyW4/fEa\nRl/oqmuqQiIjstOSJNHrWRQ3miTSIV5/e8bnktqWw9JCmdKmsP8+dirvZ/gcx+F7//U+xc2WcMLU\nFL7wv5yk0+mzvCCyzOlchLlTeVRNYW25ytKDJ/cmOxzlxJlhbMvhxocrdFsmXY9HOnEsQ7PeZeVR\nlXg6xMxclrkzQ081wBqgUe9y9/qG71CqBRT6XZN4KsT0XHYHt9r2dJv7fYuA18A64L+6jku71QdJ\nolZu8aO/eozruKQyYUKRINmhiMiGjicYnxYSno+96pAIGoXkWavZY3QiQbPep1buYJoOpy+NMH92\nGC2gYhqifL62WGVro063bVGrdMjko6Rzwr1x5kSWZCZCvdoRGt3VrqiqWBZmz/Ey0X1yo3HufLyB\n67iMT6cxDRM1IJzzihtNcsMxZk/lGJ86OHs+wPbKihaUOXNpzH/mmnVRwdlab5IbjZEfjgltay97\n1Wn3WVuqYRrCgG2g+LCxUmPxQQnXhUw+wuhUivs3hSOiLEscP5P3/9Z1XR7cLlBYa7C5Uic7EiUa\nE7KG8YROv29z9tIY9Vp3x3M/PB5n+niO1ccVCut1onHBc8+NxIjFhLb24BmMp3RGxhOoAcWnaO1G\nt2uycLtAy7OoH5lIEIkGKaw3qJU61GsdXAcmZ9Pkx+LceH/Vl7qTZInX355mdFKovrQafeFaOJtm\naaFMYa0hbO/Lgkp04qxQeahXOlx/f4VqqYNhWCTTYd7+myd8SlG/Z1IqtDD7JtFEiEQqTGG9Lnjv\nrmeZokhEIkE+/vEyuMIK/a0vH99BP2vUuyzcFuZG2aEY08eze+ac7bAsh9JmE8O0SaX3583fvLpC\nc5v+9OmLoyQzYSzT5vH9IuWttuiXOJPfUwWolTvcub6OJEksPSz7MsDZkRinL4weeF4vgo2VGo/v\nP3luw5EAa0tVAkGVUFhjfCbNzImDs+xHRbvZp9sRqjVGz+LeTWFKJtTCBKVmfCYFrjBUsi0b14XJ\nYxlSuQiWYfPgVgHHWwdPXRzdl699GFrNPgt3trBth81Vz007JhqYj0pDaDX7fPLhqq/ukhuJcfz0\n0FPedTg67T63P1rH8AQqpo9n98QBpmFTKbUwPbnIZ/3uu2Fbwqm15ymiSLLE8Fjcn/MA8qMx5k4d\n/t0cx2VrvUGj3iUaE07lg3nw5tUVbn+84R//1IVhzr028ULnvbxQplgQ3jZGzyKZDTM8GufslfF9\nn917Nze4eXWNft/Etl3OXh6l17VQNZlLn5tE0/bmg7fP/SDilBepzGytN1i4KzTuw9EAJ8+P7Ctj\nOYDrumws1yisN9DDGlNzmVfSaD3AwzsFttaFWpRtO94zKsbiIFY5Cj766CO+9KUvHfj7I2Xe/9k/\n+2d861vf4pvf/Ca/+Zu/CcDY2Bjf/OY3jxy8b8fCwgKLi4tcuCB2maurq1y5coX333+ffD7P7/3e\n7/l/++abb3LixIl9jxOJBahXejy4vcWJM3lKm23GZlK0aj2icd0vcW5HUBeano/uF7l9bY1ILIgs\n4w2AJxNObkR0eNeqHVIZwc1u1LvourYjYNPDAY9jLdQWNtdrJDOCB+m6rtdMKLj0c6fz5IZiDI3F\nqRZb9A0x6F1XoVnrkRuJUdxsUtxsktnGwxyU9I2+RXmrRSQaRJJEg5QsS36Q0GmLjm0tKJxC202x\n6C09LBMKazsoI7Vyhwe3C5imTSoTplQQlID15Rpb601hr97oMzufo1rp0G4aLD0oEQgodNuigTIa\nD1IrdciPxZg9mWdjrc6DO1s+pWd1scL8uRFAdP3PnMgyPp1CUeUdzSOO45LKRLAsYWEfT+nIisTY\nZIpYXDSixhJP+JnRmO5/Bjwp0SmqzNzJPMuPqsQSQUYmknS7JksPS0QTQpKwUmqL8vy2hjDDEB4A\nrgvpXHhHw1nNM/4Coe+aHYoydnF0X8mr4kaT9WWhONKs95iay3Du9Qn0oMryowprS1UkSSygr781\nzcpiFUWWCIUD3LgqFrCBAk9+LA4ynktpiHBYpdPqk/QacWuVDtlh0Ryayj6h5mgBlWgsSL3aYXO1\nKfoVAgqKLFHcaDIymeTxgzIXU2Ee3Npi+WEFgNJmizOXR3Fsl2g0SHYoSqsuFBfS2QgP72yRSodJ\nZRX0aIDP/9wxAqEA6SPyngcuu+2WgdE3KRdaqOPC/vvxgxKrizUsw2b5QRlNU0hlu7582ON7JepV\nYcK0tlTh+JlhMrkIa0tVvzRer3bJDsU4eX6YbsciqCs7gkFJkhibTnmGIxrRWICHd4oYfUtItQZU\nZEUilQ1T3GzSaQljrOxwjPKWaD6veI3sA95+Ihlm9mRONATvM3b2Q2mj4cuodVqGb+gUigRo5LrC\nJTMqPCdsyyGRCfnBeyQqnDgLaw2/qX5jtS7UaWQJPaSy+KDkS50pqtfoGRVSuIoqekjGplM7Frut\nzSYrC2IcSKsNTl0YJZWJsPq46j9jiVQISRFJDCHlqu2wRgdYe1z1GzgL6w0S6TDZoYMXaVWVGR4/\nvHRtb7Oj1zSZarlFq9kjmYlw7NQQEzOi0XM/KcRkJszxM0OUCi2q5Q6WZbO5VvcdpncHbEIi0yCo\nq76vxrMiOyQ0qKvljpgjJCGX1+sKn4xWs09xo0l2KHpo/5RjOxQ2mrQaYi0bGo3vKP1HYkE/MRKJ\nBjlzeVQ4/w5MsSRhNvbovudq6ht5CT+Bh3cK/r01DZt6pfPMAWw0FuTs5TEsy2buVB7TsAnHgvvy\n0w9Cv2v6gTuIDeCLIhwJcuriKM16Dy2g7DFbA9GkOHQIBe1Z4bgO1ja3VNejtG5HcJ8m+t2QZeEC\nuv25GDT5JzNhNF3B7NkoikTqOYx/diM/GqfTNjh2Uqh6JTNhf43eD92O6VNlet0nDrHxZMg3i9uN\n7X0jgO+58LworDf8eb/TMjwZz4PHXK3SYXGhDK44f1mW/LjkVWBqLks0pmM7Dqoi+/RXENz+UqGJ\nY7skM6F9RSCOiiMF7//u3/07rl27Ri6X4x/8g38AwMzMDI8ePXquDz137hyFQsF/PTMzw4cffkg6\nnabb7eI4DpFIhG9/+9tomsbJkyf3Pc7DW2L3tbFSJ54MYZpCAz3mGQ0d1F0dT4Vp1vqEokFM0+Hh\nrS0yuSgTs8I+HAl0XWSHXdel3exz9/qGr5t74tywnzVWVZm503nhSOephgRDKomUTrdromkKkWhA\nNI2WOrzxs7OYfYtmvc/C45vMzZxDUSTi6RCWadNpG6iqwsZKnUgsSH4kTjITplxqexx3BS2oiEbF\ndIiWJ8corMk7vuydbe9cWHc/MGvLVf9n7WZf6LtGgzg2/qhoNfriIXY9221bZAXMviU4nZrM+EyK\nE+eGSWUj9PuWLyGmqsLdbXOtgabJBIKqkOeLBfcEvs1al/WVGvWqCF6i8SHPAdUmnd27yCVSIU5e\nGKFV7xEMaWS37eJjiRBnLj0J2izLoTTdpNsWQYVwd3wyyTi2w+N7IoN389aHvPXWm8yfG/H/ZsDl\nHkiSWaa9hycMYofdaRsYhi1UjYByoUW50CKVCbO+XPWOIzJhF94YJzcSo9+1uHVtzV/A2k2DrqfP\nPjL+JFvUqHX9rE4kGqRa6hAMacKjYJdqRL3axbZcLI/PnY0H0XQVSZFwbMc3del2nmQ0ZU9bd2D1\nPj6TIp0Ls7oo3PpcrylYDwfQAjIjk3ubXw+DpilEYkGWHpZxHJdauYtlOUwfz2IaNoNL6rr4Rkvv\nvfcen//c5/2AcCAHWso0d9hma0HRD3D7o3ViKaEzvjsQcR2X1UcVylttLMum2zI499oYhbUmiip5\netDiPacvjtLtmkKbWddY8Zq9BzB6Fj1vPAUC6lMD0ME96baNHeok4rzE/4oi+5uVARRV5sTZYUKh\nAO1WXxjuDMV4fL+44+9sy2FoLEGnI3i8oaho7up1Tc9pUeXE2SGhVuQ5MW9Hu/5kHLjeAjcIfAvr\nDbSAwvL6bWbGz2BZYl7t96w9jZXOrhrui3KqAcZnUzy8veVfj7UlocO9udbg7KXRPVKGu5Ediong\nTYKFO1vkRuKoqsLmSo25bRnedqvPnesbGF7V5sTZw/tj9oNtO0iy7Ovcb6zV2ViuMzmbxnFEVc5x\nXN9OfrtU3W4UN5s8vifuc3GjiSJLO/5+wOsd4CDFn0wuQmnziflOwhtjuyUDteDz8aYVVcguPm3T\nehDCkQABXcXwArzsSwhIYefm5tPAj3/8I2amzrDkBYn50ThD4wlchJRgLK4zdIR5YjfqVVH5tW0H\nWZF47c1pjJ5FLKm/lM2HHtI4eX7E3+w/DalMhHQ+gmU6ZPJREpkQoXCA/EjswHgrOxSlWu5sU595\nvo3xAMGQSvNJIn/PJmn3s2GZjmfyJwzbDjN1ehnQNMVfExzHxbRsKlttIrEgEq6vXhVP6syfG35u\nKckjvctxHKLRnQ9Vu90mFtur2LEfvv71r/POO+9QLpeZmJjgd3/3d/nVX/1V//fbb3qhUOArX/kK\nsiwzPj7Of/gP/+HA4w7WBlmRsEyHsakky48q2JbD6GTyQPkf4VAoAnQtIKxvXVw2VmosL5QBoUgw\nMi5ks0qewyiIha1SbPvBu+u4woEsGsQ0LPIjcQrrdWZP5UnnIqw+ElKHKc+dMxBQ2Fip0e2YZPIx\nhkYTpHMRRiYSbK7W6XW2qxuIlT0/GkcNqHTbfeoVEQQ4LvTaJuMzKaKxALYND26JQWFZjnBU8zL2\nelgjkQoJx79ad4+ToSxLpHIRSlsthsZiaJpMYa3J2HSKRDok3EcH11ySSA9HkVVZuJs6wsgChGFF\nZihKs9bDtm1hjnVvC1VThGuj13xz7GRuR5Wj37N9NRfLdKiW2ph9C9t2mZ139g2OVFUmnhKa3Idl\nsFRVNI2tPq5iO64vZThQGTI8l8MB6tUevZ5F1Avas8Mxul2TlUcVIR9ZbCMrMlOzGf9zS4Umiw/K\n6GGFbkvQWfSQcP51cf3qyCCYkWXJM09SkSVJWIV7TXHhiLavPFsorBGN67QaPYy+zfHTQ5SLLSQE\n7WF7mdqxXVaXKqSyYfJjcTRNUHhs08bo24xOxllaKJEdilHaFI2+2eEoiiLTafaRFIlysc3Jc8Oc\ne2OCVl3IavZ6QsLweC5Pv2c+dcHudQxazT6qKtwLe13Tz/YBntyexPhUinq1S2WrRSoXIT8Se2J2\no8jkR2IsP6rQ75nexC/RbvSZmc9QWG1i28LZN5bQ6bQMNldre8rTlmX7Af8gQ5TORZk8lt3RYAb4\nRlsDxBI6elilWRNzVTiqEd2nqncQKqU2929u4jhC73tQNYpEA2SGDnadFOpXLaKJIFPHn7jeDozf\nbMtzQ0wLtYS5k3lMw6HV6KEoQt96cLUDQY38yP73K5EOUSm1vestEYkF/M8ZlLcLlQeMeK69nbZB\nbii2Z5yOTSVot3pYhkM6FzlQG/tZkM3HiESC2LbDnesbfvbZ6Fl02sae4L1UaFKrdNBDGkOjCbSA\ncDxOpsMMjSawbQejb/lupAMM5lXbEkFSaav1TMF7pdji8f2S11SdJj+aIBoN+i7HiiYTTeg7GhkP\nQ7e7c5PX27XpOyqSmYjnkrnTfGd4PIFp2rTqPdK5CJmXFDQ/K0KRAKfOj1CrdPx56q8rRieTxJM6\njoMvTzw5mzlQyegoqFc6fiLOsV0c292x6XxZOErgDjAykcCyRIIqk4uQzobRQ4E98o7b8TzqM4dh\nYjqNY7t0OwZDXnLzMFimRa9rIMvCS2H4kE3zy4YsS4xPpRmfSmOaFtd+uOz/rlHr0emYJF5l8P7V\nr36V3/7t3+b3f//3ARHM/9N/+k/5pV/6pSN9yB/+4R8e+vvtGfzp6Wnu3r17pOPGkkEsyyXmWVxn\nh6JeCdslEtORvEXSNCw/gyorIktw6tII13+8ytpSVSxeRWEyIMq0LssPhR63BODiKUBYvnESiMB9\nQIfotA1iiSC4ntHTbIZEMoRtuqwtV5EliYnZjOik987l5HFBG0pnIyRSQp+6Vhb0gHBE8xc/SZKE\nDXsuQm7YZOFekdpiFVtXWV2sepx9DUWR/DJzOKJx7GQOo28TiQuazZ3rG75iwdBYHD2sYfYtT3Pa\nIJePoWgSY5NJTp4XcnndjkkmF6Fe7aLpCqMTCTbXGlSLbWRV4dQFwd/qtg1CkQDz54bptgxarT7L\nD8toAYXN1TqO4/h65ZZpMzuf8zNF0XgQTVOQJMk3oxpkOuuVzp7gfWO5xuJDwXXOj8aZOZHdl8bi\nj5NEiFMXQ2xtNFi8X0ILKORGYoxNpVA1hVA4QLvZ59yZKwR1odIxgBYQlufCzc3C9iTX8iNCWqzX\nM1m4W8S2HExTODNm8xE6nk10biiGHtKYOZFl+VEFSRK0i8FuW/cc/IK6im07jEwm95Up0wIq8+eE\n7rtjOzy+X0aWZZqNHp9cW+fiZyaIxkRAGdAV0rkoW2sNJEli/sIwpy+M0O9ZWJbN/U+Es6QkS8yf\nHyEaC5LKhlm4WxS6zaaD45kkJRI61a0WakAm4KoMjcapVjrIC2WOH8LdqxSbLNwtCdOisMbxM0PC\nHXKbmVDKkz8dGksQiQXp9y10r5qwvdlxfDolaCqZMEbX9LK+Mql0hOHRJBtr9R2lWWd3ChgRsMfi\nur9RC+iq0BSWJZ5m7Z5Mh7n8uWlPelFIyaWyRw9Mm7Wuf07djsn4dJJ0PkYweLCBh+lxujstQYWr\nV7qcODuMLEsk02ERkHVNQtEnNIWArnHqwjC1Sod6tcfmWp1SocnsfO7QQHRoLIGqyfS6FvGkvq9S\nxOBeHHbPk+kI51+fwDIdQiHtyAHB0zBY7JPpEEVPllFR5B3OoyDK4w9uPVEZcWxhGQ8isSD0trsE\ngsoe1R5JEpWyfs9COQKdZztM02bhbtGvZD66VyKa0EllI5w8P0yn2cd2XFYfV/z3PM0MJxbXfQdk\nSYJIYuffXzh3hYd3CsiS5D8/ti3M/AaUmUFyYb8sdCCocuzkXlOjnwQ+7Sz5q8Dg+XgWv4OjYLdf\nxX7+FZ8mBuOm3ezz4E6B1cdVkhlBHzzMAOplqs+EIoLnfhC2Z93r1S6LD8p+tTCdi5B/iXSpZ4Gi\nCJfglik27ooqE3gBpaAjjYTf+73f4+///b9PMpnENE2i0Sg///M/z7//9//+uT/4ZeDNLx0XjV/h\nAOls2JNBfJIR6/eErF21IigtwaBYsI+fHiKdjRJNBJkOZVFUiY2Vhp9xCkcCGD2L5Udl6pUuWxtN\nXNthdDJFKhMiNywWwk7b8OkQvY5BtdRm5kTWdzVLpsNMzqbJDEWRPS4riMWy2zE9LecIaS/bkMxE\nOPvaGEbfIhwJ+JlN07DYWBG25alsGMuwaTb6WOUO4UiAXscinY1y4uwwpa0WmiozNJHcwT2sFFs7\ntOFrlQ7nrowJ5ZBPNnFsQfmhC64r0Wn3nzQYajLz54eJxnRqlQ7lQotYUnDRH98vEQwKCcTjZ4dI\nZyNoyScD0nVdVE3G6AttekkSZaz15Rrz5wbBu86pS6M0az1M02LpQQnXlYR5QnTnLt00bVa3cZ23\n1hvkR2NPlawzDYulhyUUVWZ5ocLiwzKO7TB5LMvcqTyFtTqO6zI0Gt8zQcqKhGXZKKpMty342tF4\nkNkTOVF92JYZqRTbzJ7MCX5yQvdLekNjCdL5CLBXdzedjRBPCp17WZYONAIL6hrDYwkaNUEv6rT6\nlIttdF3j0Z0tjp0Szn1BXWNoLEEuH0VSRLZB1USgWC62PCdVQYXptIR9tSRJBDxraMd2MUwbWRJ2\n5ZYlNMjLBcHHd2zXd5XcD+1Wn4e3ily/uoLrCppTIKgwPp3m1IVRIX0ZVHaUyKNxnYPCS1mRyeSj\nxBI6W56kYjoX8bOI2XyEaqktAjNd3VcCTPLs6qMbDWzHJbutmfgoSKRCh+r1Hmbetvtzgrr2VH7x\n2mKVO9c2kGQhZ9uodqiV21TLHRGwjcf3DcgDQY1wVGfhThHXBcO2eXS/RDwVPrBJW0i9vZxslK5r\n8GJV8QMxNZchGNKwTEGn2x0A97om2xPqA/oaiOsyf3aYXle4Hu6595LE0FicSkmUt5Vn0Cl3nSfy\nuiA2jwO7iFQmQioT8ZtX280+4WhwB9VvP2TyUU6eH6HTNghHAzsoVUbf4sGtgk+jazb6nLowzMrj\nKgVPjnV8OsXEbPqVGfP8FJ8OssMxDEM4ZseSIXIjR2M7vGoU1up0PJfkSrFNMh1+pg3vpwXDk9xW\nVQVVVfb06XyakGWJYyfzrC1XsS2X4bH4C1UhjhS8JxIJ/uRP/oRCocDS0hITExOMjLw6wv9Rsd3R\ndD8MGpUatS6bq3WGxxPUPf3tk+eGiMZ0P9C2bYdEKsy1Hy4JXXcvyFheKOM6eE6WNlPH0n6TgSSL\nrLjRF9nAftek5mV29JC4tPVql8014bY5OpkiGgv6PLPvfe97zJx4e8c572dRvLFSZ3WxitGzeHS/\nKPSJbUcEWYbNwHo+ld1rLTyAFlB2NHmGIwH/e6iqzNZGQ9AbUmGCusra0hNOsWk6GH0bJSXv4LH2\nuiauIzSUbcthbalKt9Vnc61BKKwxNZelWet6Sil1yk6LofE4pmmzmw4bi+tomsKDW5uEozqdVp/8\naIzhiZ0qAYJyIjEoIksSXjD6dAyaI/tdCyRYfFAmOxTz9bzfe+895k69ted9QV1j9mSOxfslttYb\nJNMhyoU20ZjO6ESSkckk60s18Z1PZOj3LZYWyiiKxPRclpMXRtFD2r6d+CC4so/vFSluig71py28\nkViQ/GicOx+vI0sSwxMJ2m2TerUrsljRIDPHsxS8foOBStLqYoWVRxVqlY7n+GoJ6oMkce/mJg/v\nbZHOR4h7dn/MtQAAIABJREFUVvWSLInsZq1HIKCgajKKLNFs90llQ9y/tUkkppMfju7IIHdaBqZl\n+5SNXs9k0IIRS+hHbgbczV0MBNV9deH9wKxnEQjIBzYB6SGNiRcoYe8H07BZflSmVu4QT4WYOpbZ\ns/nLDcewbWG6FU/qO1x990O71Wd1sYKLi9kXrsGnL4/uyO42mz3OXBrbt+LkOs6O52tAE3sRvPfe\ne1y+9Dq1chdVlUnno0dWbHpZCAS1QykIkdgT+hlAatfaoGqKT4fbDVkSs2h2KIZru88U9AaCGqMe\nZRNXOBfvpmweZg53EA6azw3D5uoHP+bcmSuAUCBrtww/cAfRyDw0Fn9uLvpP8WzYPVe9LKiqoN7w\nnPOWadi+GWQyE3lpz+xu2tnL6G/ZjWa9S7UkhEByu9aYw7D9XsTiQfSQ6m90n7ZpftWIxIJHVpt5\nGo7MeQdhmpTL5fyfHTVo+klhMMBsy8E0bH+ANes9LMvl+Jk8G6t1AkGFoK7y4JOC0IzXFB7d3SI/\nGvdK9Iq3e5N3ZNfCEeEY+ckHawQ8Cb5GrcfIWIJMPkava3L/1qZPE+i2Tc5eebLgHnWB6LYNLNOm\nVGhi2y56uMXYdApFlpAV+VC+2QCxRIhjp/JsrdcJBFVywzHu3tigXhWqCCMTohqQHY4STwpb7EGm\nXlFlfzEa2NyXt9oEAirRhE7f42daps3qUg3bEhxkNaAw75W3xqZTLD+sUN5qoW4LKLejVunQ3NaA\na9vuniy1osjMzud4dK+IbbuMz6QPzGI2611aDQM9pJLKRhgeT/D4QQlJ9rrjNaG+0Wn1cd3DJ6Bs\nPkar3qPXfWKyYpk2kiwxNZvxm+IqhRbLjysYfdHYurnWIDMcY+IQM6Ju2/ADd8DbaMYPDEIVRSj3\nyLIw5TL6lmgG2tZ0ls5GdqgsNGpdP7gIhQO0WwYnPNOqrY0GN66uIisSW2slMvkIJ84NE0uEiMZ1\n0YjdMZiay9DtGqgBhbs3ClimTW4khtHNMDOfw7YdyoUWrWafREpneCxOabNFPKFzbP7F5fEG6PdM\n2i2DQFD17/1hgdmrRGmz6QdNxQ1BEdq9wVBUmbGpFGNT+x1hLyTEPc7korRbfbSgIuRbt/WedNsm\nlmnvG7xHYjojEwk2VkRz58Rs+oWt642+xd0bmz73eqTVfymShy8TsbjOqYsjNGs9AsGjW9sDxFMh\nFFlifalGPKWTzD4br3hsKkUyFcbB9dWwXhV0XfWrxCBoXUFd2UGbVFTpv/v1+ad4tbBth0f3tnxl\nqvyIUIV7GWNzeDRBoypEFBIpnXTu4N6d50G3bXDnxobvJNvtGM9F89LDAU5eEHOCFlD37Sf764oj\nBe+qqu5ouAMReCqKwujoKH/n7/wdfvd3f3dPU+urxs2rKyKAm02Rze/NaGRyYsHrdU0SmRCqKhPQ\nVSJxkaEJR4PEEiEhJfSgiKzKWH1LNLB5O9RRL6uZSIaYPpHdk8kYHksIneTNFr2ex9mNCcfTgaW7\n67rYlku/a2JbTxbco+zULctBUiRsxyWZFQF1KBRga6PJ2GQSWRGOkXeub5DM6Bg927euz+3qAM8N\nx8h5Wb/7tzapFNt02gaVrRazp/IEg66/Qx2bShHUVQzDIZkO+ZxETVOYOzXE2LSJLENhrUFxs0kw\nqJIdifn666ZpU9poIkmQyUVJ56LMzucYnUyibcuOdrsmW2t1TNPewZlzXVAP2JQkMxEufiaE4+7t\nNB+gXn3irihJMHdmiKGxBJffnGbpgaDPTEynqFU7npa8y/T0aQzDpFrqCOm/bGRHFjWdj7K12cQy\nHFRN9rNikiz5nL5qsY2iyL4ijeuC9BROtaIIfwDHX3jlpy68iiIzPi10nFvNPul85FBes+u4gwIN\nAY8+lhsR8nO26Xh282KMhaMB5k7l/LE+f/ZJpuDG1RXMvu2rQ5iGTc1rBF1brPp+BLZlc+61MRwH\nUrkw6cyzzw37PR+9jsHdGxt02iayIvkbkFcNx3YorDVEdSMRZGQ8iarKmLvKsNtVaZ4XoUiA8Zk0\nq4tVoUt8PEssHiQYUum0DBRFJpYI0u+ZSLK0h2sqyxJTc1lywzFkWfLpei+Cixde5+71Df91eavN\n1Fz2mQMB07DYWm9iGKLqk8y83EU/ngg9l+troyq44pNzohmuXu6Szh59XEmSRPQ55SWfFaqm8Pe+\n/otUisIxO52PEAioHDuVZ3lB9MJMH8/sK5/5U7wavIqs+4ui1zEpb/OBKW21fMneF0U0oXPutXHh\nRq+rL+Tyuh+6HcMP3EEojQ1EJp6G3fciHAm+Ul33nxSOFLz/q3/1r/jTP/1T/sk/+SeMj4+zsrLC\nP//n/5xf+IVfYH5+nt/5nd/hH/2jf8S//bf/9lWf7w4MzDsWbm8RjQb3KA+EI0FOXxrF6Fp0OgaF\n9TqKImR8grrQKV5fqdGodUkkdfIjMVYeVWg1+py5PAouZIcipDx+5XY+/XZk8zGqxTYSEIkHyeSj\n9DoGSw/LFNbrhCJBYjHRVHsQdWI/WJbD0oMia4tVLNOhUe8ydzpPu2kwdzLH+EyaaqnN2lINSYJK\nqYmiKPS6JqWtFpIs+cH6bvS9IH1Ah3BsUWrPe5w6VVMYHt+bHQcvEx/W6HUNhsfjjE+nkBXBly4X\nWtTKHdqNHiMTSYobLcpbbc5eETzf3Y1Ji/eLVEuiiTAYUsnkIzRqPfSwxsjkwRw6WZE5LLxt1bt+\nMOy6ovE1NxRjciZNNhfxA//r76/4fNXN1TqNWpd6VehwVzJtTpwd9jcI8USIs5fH6HVM9LC274SQ\nGYqJ8ZQW6j4j43EyB2hdm4aNaVoEghpzp/KsPK6geIHXUSbDQFBj9ojZiGhcJzcsfARkWWJiJuUH\nXtnhKJPH0n5m/viZIYL6/ly8WFzHNDoEggqmYaOqMsm0CJYqxTa9jontOASDKtF46MDx97yoVbt0\nPJlGx3YpbjRfWvDeaffZWhNyfrmR2I7ms/JW2zfNqpTaKLLM6GSSdDZMYa0uroUmv5QMlCRJjE+n\nyOQjSIiN+x0vcI5EgyQzIZr1Pp98uE4kFmD+7PCeuU+WpQPnq+dBUBfmXAPli2g8+FwZvNXFqt9L\nU1hvcPby2Es9z+eF4zhYlvgHYNk/OW7sURDUNUZ2UQqzQzGhGiMdvar7U/yPC1WT0TTFp9oFPIO9\nlwUtoD63zOHToIe1HeIGifT+pnf/M+PIDasfffQRyaSYLObn53nttde4cuUKCwsLnD9/nsuXL7/S\nEz0Mtu36k+5uBAKqT+/Ij+xsyipuNlh5JBQAamXRlHf8zDCGYQFCMq1caFEpdgnqKifPj+zbFR+J\nBTlzeQzTsAkExS508WFJKKfEQ3S7Bslsiqnj2R20m8N4cpbl8Ph+kZWFMsVCi2Q6TCYXRdNUpo7F\nCOgqm2t16pUuQV3Bslxcy2XxXsn/DD2sHRg8DY3GaTV6qJrC5FyW8akkAV0llX568DFwN3x0T3Bw\nT14Y9eQfNUbG45imhWHaNJt9dF00mBk9E3ZdO9t2fCMpEBuKuZN5Zk/mURX5UAnIpyGwq0IS2hbc\nDDKRwqDnyd98cucaczNnURQRONcqHWFytO28n7aLj8aCzJ8bZvJYBlmRCIWD+1YH2s0+D24XPBMm\noU1+8TOTr2yCUlSZ2ZM5whGNaqVLqdAiFA0Si+sEdY0rb04zO59DDSiHysaNzaRQNZl4Kohju8ST\nIZ/DLckSxUJTqDOFX1xtZPvz0e2aFFbrNOtdwWHsWeDiUdpEEF+tdAiHNYbHk8+cdbRth4U7RZp1\nb+NWFg3dg+pDr7dTqm9AFYvGdc5dGfNkC/ff0D0PJEnyj/X4fnGHVGCrIfvPTbtpUCm2GZ16Mfm1\np+Hax1c5e+4SxUJrh47xs6JRe9JLI+TeTJ+aVS21MU2bRDL0wnJyz4pUNkJxs0Wr0UMLyAyNfHpy\ncs+Dg9aOF5kzf4rnx6vivL8IgrpQ+VpfriFLEqNTzz4v/qQQjgSZPz9CrdQWnPdnaNT97/FevAoc\nKXhvNpt0Oh0/eAfodDrU6yKDMjQ0RLf74s5oz4vscPTQyd51XFrNHq4rFttBxqjfNYUcF4JH2Kz3\ncBF20cPjCYy+xSC66/csysX2gZJWkixTLTdpNfvEkyG/aUpRZaIxnXA48EzNIm3PiS+a0ClutmjU\nuoxNp3z3s08+WMO2haazrMjEkyFCkSCO66IgISsSRk9IF+6XIcuPelKRhk00HnymxqZ6tcvjByVq\nZXHPP/loldxQlHgqxNpSnX7XxuxZlDdbHDuVJxTR9i3dK4pMOhdlc1WMIz2soYe1Q/m59VqXlueo\nls5FDgx2M/koluVQr3SIxIIM7aPtKvoUciw+KOE6Lul8hFhc9zO7waB64GQ3COb0fa5bIKg91Tmt\nuNnwewoatR6VrRajU0c3PjINS2wWde3I46rTMlh+XPUrDbZV5Oxr40JpJqgytI9Ky24EAuqBTZ+K\nIjE5m8Y0bSLRoK/C8zIwqNC4jkun3Wd4PIGqKYxMJqmWOjy8uwUulBHP87NqKw8M0gYwehZm3/af\ni3hC96lNksQOoxE9HDjULKjbNsSmBsgNxZ45MN09xnc/z59WwJbMRF6Y5pJKR2h7KhXqtl6a9eWq\noK8Bekjl1KWxZ3LqfFHoISGz2euaaEF13+f6p/gp/rohmQ6/FL+FnwQSyRCJlygx+T8ajhS8f+Mb\n3+DLX/4y3/zmN5mYmGBlZYU/+IM/4Bvf+AYA3/rWtw50QX2VOHVxBNdxiafCB5aDXNdldbHKiqex\nOzqZZOpYBttxKRZarDyu4DrCfGBsOsni/TKBoEJuKMruuFBRD14kt9YbLD0UfO9yocXUXIZAQMEw\nbCH1tY9qwGG7Q0WRPJ1fl9mTojFs7nSeeDJErfzEuCESC+K6rlDB0VU67T7tRp9AUGVkPLFv4G5b\nNpbpEEvoz5XplWVpBx8NV8KyhfOi5N2GeDIk9NSHo+RH4gfy7CZn00SiQSzbJpU53F6+Uety5+N1\nnw5z7GTuwIBTliWGR+OEwxrOIVy53HCMZDqE67q8EZyl1egJXXrXZXgssa+urjDzEuNpYOb1aaLV\n6HH/kwL9nkkiHWbuVO5INsu2tVPSrt+3hcSh8nKCv0Fjt6YpGH3rhZskB8/H9gqNJEtEYjpjUymf\nLlMrd3w+P0B3myTqUREIqEJFyGvuinoc8wES6TCnL47SbhqEwtpTjUEGME2bB7cLvrRmrdzh9MXR\nZ+KI5kcFFavTNognQ4xPJ1leqNBuGSTToQNpWS8TLyuTNTqdIhBSMQ2bxLZemtLmk2bcXtei3eh/\nqsE7vFoawMvG/wyZxb9OOOr96PdMioUWruOSyUf+h+Ri/6TxP8uzcaSZ6l/+y3/J8ePH+cM//EM2\nNjYYGRnht37rt/j1X/91AH7u536OL37xi6/0RPfDbjvx3WjWu9SrXUpbTSRPP3tjpSZ43ZKQQMwN\nxzANm2BIpV7pEk/qVIptPnhvidOXRogldXodk3hSP5S/2+vsDBgcx+Xs6+MYPYtQWNt3UXBsh2Kh\nRa9jEEuEdvBlo3Gd6RM51harqKrMzHzWN+8RmeyAp5suMTqZ9IPYS5+dFHJumrwv/aG81eTj91do\nN/pMz2U5dWn0mYOsWDLEzIkst66tgSQxdSxN3GvWmjqWYeHuFpbpMndmiP+/vTuPjro+F/j/nn0m\nk5nJTPadAGELSUDAWhTrUi8HLdatVEDwgvXWez29V+nx6Ll6XKrWakuvtudne9vjiuLS/qr4EzdK\nLypVQQQhLAqErCRk32ef+f7+mGRgIIRJSCaT5Hmd4zl+v5OZ+cw8QJ75zvN5ntzJyQPWxmp1GtKz\no/uKurvTHU7cIXQVfqCrxbWVrdRUhDZQpmVaKJie2u+HvFNjk2g1MnXW2Wtw3S4fVeUt4XVUH23G\nnpww6E1AqZlW2ttcuHp8WG2GcK//aJw43hHqyU8oGWxpdJKZe+4PEGaLAZsjgY5WJ6hCH1ij6VQU\nrbzJyaAKbaBOy7QO2MZ1MPo6r9Sf8g3Nqd/kJFqNES0Co02sT9XXB95qT0AJBnGkntmazJpkGvSw\nEZ/XH1Ea1tPlwev1Dyp5D+3dycbvC6DvnRg6a44Rvz+ATqcd9JV3JRiaTqhWqwb8xmAkaLXqfvvw\nJ1j04W8+1GoVeuPY+HpfiGgFg0po7kzvoLiWxm5mzc0acLiREGcT1Z8atVrNHXfcwR133NHv7Ubj\n6G84Ol1Hm5Nv9tbj9QRoOtFF/tTk3ul5GgKB0AjsRKuxt0+5DovNRFtLT+9Ew9BGPGe3l7RMK+kl\ntlCbyAGuUlvsJhrqOlGU0C8fi82I0agb8OvX/2/TR6TapgKgUncwoyQj4gNJZo6N9N6OMaf+gjYY\ndcwozqCtxYVGq4pI0s9Vk314/wma60NXuQ7trScpJWHQJQZarZrpJZlk5FgJKqGNnH3lJUnJZkoW\n5BEIBDEYtcNWw93V6cbl9KM3avB7gwSDyhm9lE/l9fjDG+MgNGwoI8dKwK8QVBSsNtMZNdlDqZUb\nandbc6KBornZ+LyhDavRlL4E/EG6Ot3htqd97220b7FOr6GwKI3uDjcajRrrAEOHhsJk1kd0pjlf\np8Yjd0oyZosBvz9A0mkfliw2I7PmZNLV4cFg1A5506herx32b1H0ei1mq5Hu3lr6RJtxSL+stVp1\nxJ8RtUaNfggfvIJBharyFk7UtKNWq5g8PS2qetKRriPNnZyMTqvB7faTmpE4pI4xE8lEqesdK6KJ\nh8/rp7P33wEIlTF6XX5J3ofZRPm7EfWfmoaGBnbu3Elzc3NEy8i1a9eOyMLOV0e7m0Ag1PLRajfh\n9fgxGHXYU0wc/LoeFMjKs2F3GAkqoVpUa5KR/R11qNUqcgrsoQFIKqK6Mp2abkGrUeNy+kJXOKNI\njFxOL/TmCqFaXu8Z3yac7cqoMUFP5hCumnl7d573GerEMbVahf0srdR0eg06hu/KWVeHm4Nf1+H3\nBXD1eMnKt2O1G88YcX76+jRadXgjs1anoqHuZE/uga7ED8Ro0pE3JZnq8lCJVN6U5CG33tLpNFF/\n6xHwh3r2Np3oxmDSEgwq6HRqzFYDOoMGr8cXVemMXq+NSWvF4abVqknrZ99CH4vNNOyjyYeDVqdh\nWlF6uI9/aoZl2NuqDUZ3p5v66nYgtNG/qrwFR6r5vDcXny+TSUfBMM4CECLe6HQaEq2G8KBIY4IO\nvVESdzE0KiWK0Vhvv/02t9xyC4WFhezfv5/Zs2ezf/9+LrnkEv7v//4vFus8w9atWwfscNNQ10n5\nocbwcf5UB47kRPZ9VRtOWNVqFaUX5oY3kCmKQkebi4bjHXR1ujElGMJdVEZCfU07FYdD7edUKphR\nkok9xYyrx0tbc094LPxw7hCvqWhh1yeVeL0BMnJszL8kn4TEUOeQ/n6BB/xBmhu68fn82BwJva0C\nA6F2gPrBf2U/FHXV7VT2tukDSE5PjOoKb3urk8qjzQQDQXLyHVQcaY74sFKyIGfIbepcvV/xx6or\nRmeHi/27joePExL1ZOeFpjp63H4SEvXMKD6zZaAQp+rqcFF2yp8jg1HLnIvyhrWFnBCify6Xj+b6\nUDvavuneQvRn9+7dXHnllWe9PaqPfffffz/PP/88y5Ytw263s2fPHl544QX2798/bAsdbinpifh8\nfjpa3VhsBtKzbKHevb0fVUL1nlqOV7VithpJzwpt7rTajPR0ewgGFZLsJvQj2FopPSs0JMfl8mGx\nGbGnmPF6fHxbVh/ueNLd6WbqrMFN+zsbV48XV4+XmXMz0em1ZOXYCCqw/6taPG4/aZlWcgocETXq\nx6tODt7R1rQzqTCFmvJWfL4A6VlW8qckD2vddH8Mp12dMCVE92EqyZFA6YJcUEJ9m2sqWk9+cNOo\nzithiXUrO41aHd63AaHyh85ON57eYUnObi9tLc4hfRsz0pw9Hmp6P2SkZ1mj6mojRkai1UhugYO6\n6jbUGjWTClMkcRciRkwm3Vm7dQkxGFH9q11TU8OyZcvCx4qisHr1al5++eURW9j50mjU5OQ7KJqb\nRd7kZLQ6DUajjrwpoeTUYNJSXd7KV/+sZvtHRyj/phElqNB0oouqIy20NTupOBLqsT5SPvv8M9Kz\nbUyamhKuW3c5/eHEHaCtxYnPFzjbQwzK8ao2mht6aG1y0nC8E7fHT01FK10dHryeALWVbbS39kTc\np7X55LEKFZXfNuNx+wkGFOprOuhoG/kWoY5UM5Onp+JINZMzyT6ouuS+/QI6nYYpM9JIsOgxJYSG\nIp2egG/fvn24lz5szBYDU6anYDBqSTDrmTI9FfVpk1tHu/ThbKrLW2lp7KG708Oxb5voaI/uz0w8\nx2OsUqlCJYGlF+Ux5zu5JEe5UVpiEV8kHvFF4hE/JkosorrynpaWxokTJ8jIyGDSpEl8/vnnpKSk\nEAzG9xS6/mTmJpHkSKD6WGt48EkwoNBY10l2fhIu12nDWJy+/h5mxBgMmojJYubE/of8nIuiKLS3\nOPF6/L0DczT4fP6In/H7g+Hpa30C/sgqKovNGO5HrtaoCKpUcErpSRRVV+dNpVKRkWMb8mCYPknJ\nCZQ6csOPOdakZdlIybCi6p2gqDdocTm99HR7SU5LjNtadtcpf4cUBfze4fkwOh70dHvwuHyYEvQx\n+zZHpVJJH3MhhBjDokref/KTn7B9+3Zuuukm7r77bq644gpUKhU///nPR3p9I8Jk1mOxGkJlCL0t\n/wxGbWjYkc1IvSqUZBgTdKi1Ktwu34jUvfe3I9qYoGdGcSZNDV1oNGrSc2z9JprdHW5am3pQ69Sk\nZVjO6EfeUNfJsW9Dkxl7uj1k5yUBoRZsXneABLOORKuRzNxQ+7pgUMGaZMRmj6wBz53sQG/Q4vX4\ncaSYURQ4erABvz8Y6gphH3o7QK/XT9OJbgK+AI5Uc0zGpA+UtEe7Qz0YVPB5/ej02iGNiD8fpz6f\nyaxn5pwsAgFlSB/wYiU9y0rl0WZQwGzRk2iNrs5zvHcM6GxzcWhfPQF/EK1ezcySzEFtulUUhdZm\nJ26Xl0SLMapN8kM13mMx1kg84ovEI35MlFhEtWE1EAiER8YDVFVV0dPTw6xZs0Z0cQPZunUrxcWl\ngIJON/gd28FAkIojTRyvasecaCB/qoOU9FA3i7bmHro63FSVt6DRqNEbtcwozohJchkNt8vHoT11\n+PwBfN4gqRlmps3OjPiZA3uO09HqoulEF26nj0mFyQQCCjkFdsyJBswWQ/gDSU+XB78vgClRH1Xb\nKrfbR8AXxJSgO6969yMHG2iqD3Xh0Bu1zL4ge8Q2Bw8Xt8vHsW+b6OpwY7EZmTx95DY0jxeKotDe\n6gwPBpP3K6TySDN1vZ1fAHIKHORNdkR9/6b6Lo4eagi1p9WomFmaGZ4FIYQQYuw614bVc2Zefr+f\nxMREPJ6Tg0by8/NHNXHvs3dHNV9/URMe3jIYao2aKTPSueT7hcy9KC+cuAPYU8woioLBoMVg0qIi\nlND3JxgI4nH7CAYjPwMpioL/HLXqQ63Ncjt9eHx+Kr5tprailQN76mhvdUb8TELvxsW+Eou+9nQJ\nZj3JaYnhBMrnDdDe6qS1uSdimMxAjEYdZovhvBL3QCAYGhbUy+v2h1pnjqJo4tF8ois04dYfpL3F\nSXNvC0BxdiqVCnuymdQMy6AS9/Feu3h6m1CdbnB/nzranfRdegkGlHAv+ZEw3mMx1kg84ovEI35M\nlFic8zKrVqulsLCQ5uZmsrOzY7GmqHk9oeS46kgztiRjxNTFaJ0tAdXq1Hi9Abqbe1CrVZithojB\nOBDq017+TRM9XR5sdhOTp6eiN2hxu3xUfNtEd5cHe3IC+VNThrXdozFBFzECXqvVhOr3T7lol5Wf\nBISmsaKAz+cnLdNC0ml95I9XtVJXHfrw01DXSdHcbCy2kf+GQaNRY00y0dy7IVinV8d8HPpQnP4h\n7fRjIaKVmmXB5fLS0erCkWImJf3cw5JOlXBaZyHDGPj7I4QQ4vxFVW9yyy23sHTpUv7zP/+T3Nzc\niAT2iiuuOOf9165dy+bNm0lLS6OsrCzitvXr13PPPffQ3NyMw+HA7XazZs0aDhw4gN/vZ/Xq1dx3\n330DPn4wqDDcOZTFZkJRFJpPdOHzB3E5faRnWrGnnEx+G+s76eztttLa1IM1yUhWnp2G4x3hEciN\n9V2YrcZ+O6QMtTbLaNKRPyUFt9OHSq0i0WYMJemnMBhPDj3x+QIE/EH0hjNrtDvbT16tCwYU3C5v\nTJJ3gEmFKZgTQ1MzHanmmPUoDwSC+Dx+tHptRK14NPFITk+kpbEbl9OHKUFHcnp8bhIdD8Z77aJe\nr2XqzPQzLgpEKy3bhkJo06styRQxaXm4jfdYjDUSj/gi8YgfEyUWUSXvzz77LACPPPLIGbdVVFSc\n8/5r1qzhZz/7GatXr444X1NTw5YtW8jPzw+fe/311wHYt28fLpeLWbNmsWLFCvLy8s54XFXvxtKs\nvCTMw9ypQW/UotGo0eo06PShDZvtrc6I5P1sV2EDgcguPMHA8HflyZuajMmsw+3yYbWbBqx1HWiS\nZ1JyAt2doXIZjVaNKSF2QyP0Bi3Zk+wj8tid7S6qyltCA5om2UlOC13V9Lh9lH/TRGebi4REPVNn\npZFgjv41mxMNFF2Qjcftw2DUnbFRWIjBGmrnI61WTXb+yPz9EUIIEb+iKrKsrKyksrKSioqKM/6L\nxqJFi7Dbz/wls27dOp566qmIc5mZmfT09BAIBOjp6UGv12O19j8WvXhBLiULcsifkjzskz6NRh0p\n6Wa0eg0anRpHivmMYUGp6ZbwuYREffjKV0qaBa0+9NYaE3TYU/pPrM9Wm+Vx+zh6qIG9O6qpqWzt\ntzRDq1WTmZtEwbTU87rilp1nZ/KMVHImO5hZmhl1J5B45vcHKT/USFe7m54uL0cPNoYnorY0dNPe\n4iR8MQyhAAAgAElEQVQYVOju9NBYd7JmPdpaOb1Bi8VmksR9hE2U2sWxQGIRXyQe8UXiET8mSiyi\nzj58Ph9ffPEFdXV1/PjHP6a7uxuVSoXZbD73nfuxadMmcnJyKCkpiTi/ePFiNmzYQGZmJk6nk6ef\nfpqkpKR+H+Pe+9aFr8hbrVaKi4vDX5n0BfB8jv0+P8XzptPZ7uZY9X4OH2siK+974dsVRWHeBRcS\n8Af4as+XfLWnmksuuQSr3US3txqfN8C8iy/FYNT1+/hlZWX9Pv+J2g62btkGQHHRPEwmHd8c2Xve\nr+dsxxnZNrZv30718ZF5/FgfBwNBvtq9k0AgSHHRPAIBhe3bt2My6ynILQKg7MBXAGTmXXHOeAC8\nv/nvNNR3Mqd4PnmTkzn47Z64eb3j9XigeMhxbI/7yh3jZT0T/VjiEV/HEg85Pt/jsrIyOjs7Aaiu\nrua2225jIFG1iiwrK+Paa6/FYDBQW1tLd3c3mzdv5uWXX+aNN944192B0NX7pUuXUlZWhtPp5PLL\nL2fLli1YrVYKCgrYtWsXycnJvPLKK7z11lu8+eabtLa2smjRIt5//30KCgoiHm/r1q1YjFmkpCVi\nTzl55bmzw4Wzy4spQYfNMTxt0wKBIEpQoa6mna4ONza7CUeqmaojLXT3bladNC0lqjaLp/P7g6hV\nkRtnD+8/Ed7ICVAwLYXM3P4/wMRCIBDE7fSh1akxxGi4i7PHQzAY6o4z2F7qiqJQXd7K8ao2AJLT\nzEydmY5Gq8bl8nH0YANd7W4SzDoKizIwWwb+tsHr8bP3yxp8vRuktTo1pRfmxuy9EEIIIcTEca5W\nkVFlm3fccQePPPIIq1evDpe/XHbZZdx+++1DWlR5eTmVlZWUlpYCUFtby7x589ixYwefffYZ119/\nPRqNhtTUVC6++GJ27dp1RvIO8PUXNVhsRi66YjJJdjMdbU4O7a0nGFBQqVVMK0qPevz3QDQaNXXH\n26mtCCWDHa0uero94U2pzQ3dWKwGMvMGV39aX9tBbUUrGo2Kgump2Hs7wThSzbQ29RAMKugNGqwj\nOHzlXPy+AMcON9Hc0I1Wp6ZwVnp4nSOlsb6TY980EQwqZOTYmDQ1eVBtKVUqFbmTHViTjAQVBWuS\nCU3vxlSTSceMkky8bj86gyaqD1wBf5CALxh5PAL7GIQQQgghziWqjOjgwYOsWrUq4lxCQgIul2tI\nT1pcXExDQ0O4bj4nJ4fdu3eTnp7OjBkz+Mc//gFAT08PX3zxBTNnzuz3cYIBhY5WF43HQ3XLne1u\ngr0TU5WgEu4EMxw8bl/kscsfcewfZLubni4P77z1AT5vALfLT8W3TQT8oYQwJd3CrAuyKCxKp2hu\nNuYhtMAcLh1tLppPdIMCfm8w/AFmpAQCQarLT9b5n6jtoKszuv7zp1KrVdhTzCSnJvbTT1uD2WI4\nI3Hv+yrrdEaTjvTsk/su0rNtGE2x6YwzkZ0tHiL2JBbxReIRXyQe8WOixCKq5D0/P59du3ZFnPvy\nyy8pLCyM6kmWL1/OwoULOXz4MLm5ubzwwgsRt5/abeGnP/0pXq+X4uJiLrzwQtauXcvs2bPP+tgG\nkxZ171VVw2kbCIez77HNnhAu31BrVKRnWcO9240JOhwpZ78aHQwqNJ3oovpYK629w56CwSCcku8H\nAgrBUyqYrDYTqRkWTMPcRWfQTqtYGc6NwW0tPVQfbaHheEf4SrZKpUJ96p9KFZHHo0ClVpE/JZmZ\nczKZWZpJ/tTkQZfyCCGEEEIMh6hq3t99911uu+02fvrTn7J+/Xruv/9+/vjHP/LnP/+ZxYsXx2Kd\nZ9i6dSstNQYcKWZmlGRithgIBoKcqO2gvc2FxRbqra49S4vEoehod+Hu8ZKQqMdiM+F2+fC4/RhN\n2gHrnxuOd1D+TRMQSgRnlGRgSzJRcaSZhuOdqFSQX5hC1ijWtZ9NIBCk6mgLjfWd6PQaps5MxzYM\nZTwd7S4O7akLX2HPm+ogJz80Zaq1uYdj3zQSDChk5iWRM8k+5HZ6QgghhBBjyblq3qNK3gH27NnD\nn/70J6qqqsjLy+P2229n3rx5w7bQwdq6dSvTpxWh12vPOb3U6/XT2tiDoig4Us0x32h49FBDREvC\n/CkOsic5CAaCdHd5UKtVJFpjMxhpKJSggsfjR6NRD9uk2BO1HRz7til8nJScwKw5WeFjnzeAogTR\nG2RTqBBCCCEmjnMl71EVJDQ3NzN37lz+8Ic/8N577/HHP/5xVBP3PuZEQziZ7Opw8+3+E3yzt56O\nVmf4Z4KBIMe+aeLYt01UHG7m6MEG/L5AzNfZR6UCY+9QoM8+/wxrkimuE3cIfVtgNOmGLXEHMJ3W\nRcaaFPke6PSamCfuE6VWbqyQeMQPiUV8kXjEF4lH/JgosYiq20xeXh6XXXYZK1as4Prrrx9yb/eR\n4vcFOHqoAVdPaFNpZ6ebkvk56A29k1FbTibzHW1uPG5/RDlNa3MPzm4PCWYDjtThf21pWVZUKnA5\nfSTajDhOG9rU3NDF8ao2NFoNeQUONFo1Go0KY8L43RRps5uYXpxBR7sLg0FLWmb/g7iEEEIIIcRJ\nUZXNNDU18eabb7Jx40b27t3L0qVLWbFiBUuWLEGrHXxv8+GwdetWLrjgAgDcLh97d1QT6O0043J6\nSc+y4vH4yZ+cTG11G86u0IRNo0lL8fwcdL2dRlqbuvm27ASKErrNmKDDZNKTlmU9Z//v4eDs9rDv\ny1qCQQVFUfD7gyQm6vH5g0yenhq3Sa3fH6SloQufL0BSspnEGLxXQgghhBDj3bCUzaSmpnLnnXfy\nz3/+k/3791NSUsJ///d/k5GRMWwLPR8Ggzbczz0QCKJSq3A5fXhcfsq/aSR/SgoZ2VbSs6xMK8oI\nJ+4QKrdRFNAbNNTXdlB5pIX62g6OHDiBzzvy5TV+fzC8adPr8dPW3AMqFcGAQnV5C35/fPYTr61o\npfybJqrLWzn0dR2uHu9oL0kIIYQQYtwbdBO+xsZGGhsbaW5uDg9sGi1NJ7rwef2o1ComFaZQWJTO\nlBmpJNkTwol3IKig12uYPCONKTPTSLRF1labektTVGo1zi5vuJzG5fLj80X2ch9u27dvJ8Gsj2gz\nmZZlxReuyVcRr01W2npbXkJoc6lzHCTvE6VWbqyQeMQPiUV8kXjEF4lH/JgosYiq5uXAgQO89tpr\nvP766zidTpYtW8amTZu48MILR3p9AzpyoAFHipmpRelodRpSMyyh0hNfkNrK0DChjGzbgL3SUzIs\nBIMKPT0e8guTw0m/zW7CEIMNk1qdhikz00htd6FWQ0+Xl+NV7ej0agqmpaAZxGTRWLIkGXE5Q3sM\n1BrVsPbUF0IIIYQQ/Yuq5j0pKYkbb7yRFStWcNlll6HRhK5OB4NB1KM0QWfr1q2420L14CULciI6\ntihBhc4ONygKFpsRdZQJsMfto6UpdEU5Jc08Km0KFUXB4/aj0agiynvijdfjp+F4B15vgORUM0nJ\n8bWJWQghhBBiLDpXzXtU2WFDQwMGw8kNifv27ePll19m48aN1NXVnf8qz4NGqz5jEJNKrRrSICGD\nUTfqg5JUqlBbxninN2jJnZw82ssQQgghhJhQorokbTAYaGpq4umnn2bu3LnMmTOHL7/8kmeeeWak\n1zcga5KRwqL0MZHs9mei1GaNFRKP+CLxiB8Si/gi8YgvEo/4MVFiMeCVd6/XyzvvvMNLL73Ehx9+\nyKxZs/jRj35EVVUVb775Junp6bFaZ79mz8sJ/7/PFwBFGfFSE2ePm5pjbbicPlIzLGTlJqFSx+mu\nUiGEEEIIMa4MWPPucDhIS0tj1apVLFu2jMLCQgAyMzPZu3cvaWlpMVvo6U7t897c0EXF4WYURSF3\ncjKZObYReU6fN8CBPbV8u68BAINJx8IrppCWFZ+92IUQQgghxNhyXn3eS0pKqK6uZseOHezcuZOu\nrq5hX+D56On24PP6qTjcjM8bwO8LUnWkGWePZ0Sez+Px09158rG9Hh89XSPzXEIIIYQQQpxuwOR9\n27ZtHDx4kPnz5/PQQw+RlpbGD3/4Q7q7u/F6R7+v9/5dx+lqd6MET355oCgKygjNNdIbNFhsRlS9\nzdcNRh3WIWyM7TNRarPGColHfJF4xA+JRXyReMQXiUf8mCixOOeG1UmTJvHggw9y9OhRtmzZQlpa\nGmq1mtLSUu65555YrPGsAoEg7W1OciY7QsOMVJCVbydhgL7u50Ov1zJlZhpzF+Yxe1423718Sniy\nqxBCCCGEECMtqj7vp3O5XLz99tu8/PLLvP/++yOxrnPq6/OeM8lO3pRkero8KIDZrJcNpEIIIYQQ\nYkw6r5r3szGZTCxfvnzUEvc+KRmJpGeHNouaLQYSLQZJ3IUQQgghxLg1OuNRh8m0ogwMxrHZ4x0m\nTm3WWCHxiC8Sj/ghsYgvEo/4IvGIHxMlFmM6eRdCCCGEEGIiiUnyvnbtWtLT0ykuLj7jtvXr16NW\nq2ltbQXg1VdfZe7cueH/NBoN+/bti8UyY+6SSy4Z7SWIU0g84ovEI35ILOKLxCO+SDzix0SJRUyS\n9zVr1vDBBx+ccb6mpoYtW7aQn58fPrdy5Ur27NnDnj172LBhA5MnT6akpCQWyzxDwB+ktrKVQ3vr\nOV7VRiAwQj0ohRBCCCGEiEJMkvdFixZht9vPOL9u3Tqeeuqps95v48aN3HzzzSO5tAE11ndSXd5K\nW3MPVUdbaG4Y3iFVE6U2a6yQeMQXiUf8kFjEF4lHfJF4xI+JEgvtaD3xpk2byMnJGfCq+ptvvsk7\n77xz1tvvvPNO8vLyALBarRQXF4e/MukL4Pkcn6jtICt1OgBlB77iRIuFG5ZdPWyPX1ZWNqzrlWOJ\nx3g6lnjEz3FZWVlcrWeiH0s84utY4iHH53tcVlZGZ2cnANXV1dx2220MZEh93oeisrKSpUuXUlZW\nhtPp5PLLL2fLli1YrVYKCgrYtWsXycnJ4Z/fsWMHt99++1nr3bdu3cqcotnUbHib2o3v4qo9gT7V\nQfayJeSvvQmtxQyESl/qqtvoaHNhsRnJyrej02miWnNLUw9H9p8gGFRQq1VML8nAnmw+/zdDCCGE\nEEKIfpyrz7s2hmsJKy8vp7KyktLSUgBqa2uZN28eO3fuJC0tDYDXX3+dFStWDPg4u5avo/Wz3djm\nziLrR0vo/vYYR574X+rf2sKFf/t/0DtsNDV0UVPRBkBnuxudXktWXlJU60xONaMtzcTl9GFK1GNL\nMp3HqxZCCCGEEOL8jEqryOLiYhoaGqioqKCiooKcnBx2794dTtyDwSB/+ctfzlnv3vrZbop//yCz\nX/89jv9Yy/Q/Pcn8N5+h51gNhx//AwBeTyDiPh6Pb1BrtTkSyMixjUji3vfViYgPEo/4IvGIHxKL\n+CLxiC8Sj/gxUWIRk+R9+fLlLFy4kMOHD5Obm8sLL7wQcbtKFTkV9ZNPPiEvL49JkyYN+Lgpl3+H\nxO9/j4N76jj2TRMH99ajmjGT7GVLqPvbh/i7erDZTWg0ocdXq1Uk2ROG9bUJIYQQQggRKzGreR9u\nW7duJenzg+iuvpqaY63h8xk5Vkzf7GPvTx/k4o9fwTJ9Ml2dblzdXkxmHRablL4IIYQQQoj4FJc1\n78PFVV2PxRj5EoxGHc6qOgB0VgsAFqsRi9UY8/UJIYQQQggxnEal5n241P2/H5Lg6WLS1GSSkhPI\nKbCTlAA1L7+FY+FcjJmpo73EAU2U2qyxQuIRXyQe8UNiEV8kHvFF4hE/JkosxnTyrtJo2PnDf8f7\nwYdk+lpQfbadXT+8A09jK4X3/XS0lyeEEEIIIcSwGtM174VGKwfu+w3tO0/2grfMmsrMx+7CsfCC\nUVydEEIIIYQQgzeua94ts6Zy0Tt/pPtIFa6aegxpDixFhWd0rxFCCCGEEGI8GNNlM30SC/NJveIi\nrLOnjanEfaLUZo0VEo/4IvGIHxKL+CLxiC8Sj/gxUWIxLpJ3IYQQQgghJoIxXfN+wQVS1y6EEEII\nIcaPc9W8y5V3IYQQQgghxghJ3kfRRKnNGiskHvFF4hE/JBbxReIRXyQe8WOixEKSdyGEEEIIIcYI\nqXkXQgghhBAiTkjNuxBCCCGEEOOEJO+jaKLUZo0VEo/4IvGIHxKL+CLxiC8Sj/gxUWIhybsQQggh\nhBBjhNS8CyGEEEIIESek5l0IIYQQQohxQpL3UTRRarPGColHfJF4xA+JRXyReMQXiUf8mCixkOR9\nFJWVlY32EsQpJB7xReIRPyQW8UXiEV8kHvFjosQiJsn72rVrSU9Pp7i4+Izb1q9fj1qtprW1NXxu\n3759fPe732X27NmUlJTg8XhiscyY6+zsHO0liFNIPOKLxCN+SCzii8Qjvkg84sdEiUVMkvc1a9bw\nwQcfnHG+pqaGLVu2kJ+fHz7n9/tZtWoVf/rTn9i/fz8ff/wxOp0uFssUQgghhBAirsUkeV+0aBF2\nu/2M8+vWreOpp56KOPfRRx9RUlISvkpvt9tRq8dndU91dfVoL0GcQuIRXyQe8UNiEV8kHvFF4hE/\nJkosYtYqsrKykqVLl4brkTZt2sS2bdv4n//5HwoKCvjqq69wOBw888wzfPXVVzQ2NtLU1MTNN9/M\nPffcc8bjbd26NRbLFkIIIYQQIqYGahWpjeE6wpxOJ7/85S/ZsmVL+FzfZwifz8f27dvZtWsXJpOJ\nK6+8knnz5nHFFVdEPMZAL0oIIYQQQojxaFTqUcrLy6msrKS0tJSCggJqa2uZN28eDQ0N5Obmcuml\nl+JwODCZTFx99dXs3r17NJYphBBCCCFEXBmV5L24uJiGhgYqKiqoqKggJyeH3bt3k56ezuLFiykr\nK8PlcuH3+/n4448pKioajWUKIYQQQggRV2KSvC9fvpyFCxdy+PBhcnNzeeGFFyJuV6lU4f9PSkpi\n3bp1LFiwgLlz5zJv3jyWLFkSi2UKIYQQQggR12KSvL/22mvU1dXh8XioqalhzZo1EbcfO3YMh8MR\nPl65ciX79++nrKyMX/3qV7FY4oioqanh8ssvp6ioiNmzZ/O73/0OgNbWVq666iqmTZvGv/zLv9De\n3h6+zxNPPEFhYSEzZszgo48+Gq2lj2uBQIC5c+eydOlSQOIxWtrb27npppuYOXMms2bNYseOHRKL\nUfTEE09QVFREcXExK1aswOPxSDxiqL95KEN5/7/66iuKi4spLCzkv/7rv2L6GsaL/mJxzz33MHPm\nTEpLS7nhhhvo6OgI3yaxGFmDnRU0IeKhiBFTX1+v7NmzR1EURenq6lKmTZumHDx4ULnnnnuUJ598\nUlEURfnVr36l3HvvvYqiKMqBAweU0tJSxev1KhUVFcqUKVOUQCAwausfr9avX6+sWLFCWbp0qaIo\nisRjlKxevVp57rnnFEVRFJ/Pp7S3t0ssRklFRYVSUFCguN1uRVEUZdmyZcqLL74o8YihTz75RNm9\ne7cye/bs8LnBvP/BYFBRFEVZsGCBsmPHDkVRFGXJkiXK+++/H+NXMvb1F4uPPvoo/Gf83nvvlVjE\nUH/xUBRFqa6uVhYvXqxMmjRJaWlpURRl4sRjfDZQjxMZGRnMmTMHgMTERGbOnMnx48d55513uPXW\nWwG49dZbefvtt4FQ+8zly5ej0+mYNGkSU6dOZefOnaO2/vGotraW9957j5/85CfhDkcSj9jr6Ojg\n008/Ze3atQBotVpsNpvEYpRYrVZ0Oh1OpxO/34/T6SQrK0viEUP9zUMZzPu/Y8cO6uvr6erq4sIL\nLwRg9erV4fuI6PUXi6uuuio8c+Y73/kOtbW1gMQiFgYzK2iixEOS9xiprKxkz549fOc736GhoYH0\n9HQA0tPTaWhoAKCuro6cnJzwfXJycjh+/PiorHe8uvvuu/n1r38dMfhL4hF7FRUVpKamsmbNGi64\n4AJuv/12enp6JBajxOFw8POf/5y8vDyysrJISkriqquukniMssG+/6efz87OlriMgOeff56rr74a\nkFiMlk2bNpGTk0NJSUnE+YkSD0neY6C7u5sbb7yRZ555BovFEnGbSqWK2LB7uoFuE4Pz7rvvkpaW\nxty5c8NX3U8n8YgNv9/P7t27+Y//+A92796N2Ww+Y3+LxCJ2ysvLefrpp6msrKSuro7u7m5eeeWV\niJ+ReIyuc73/IjYef/xx9Ho9K1asGO2lTFh9s4IeeeSR8Lmz/U4fryR5H2E+n48bb7yRVatWcd11\n1wGhKygnTpwAoL6+nrS0NCD0SbCmpiZ839raWrKzs2O/6HHqs88+45133qGgoIDly5fzj3/8g1Wr\nVkk8RkFOTg45OTksWLAAgJtuuondu3eTkZEhsRgFu3btYuHChSQnJ6PVarnhhhv4/PPPJR6jbDD/\nNuXk5JCdnR0u5+g7L3EZPi+++CLvvfcer776avicxCL2BpoVNFHiIcn7CFIUhdtuu41Zs2Zx1113\nhc9fe+21vPTSSwC89NJL4aT+2muv5fXXX8fr9VJRUcGRI0fC9Vni/P3yl7+kpqaGiooKXn/9da64\n4go2bNgg8RgFGRkZ5ObmcvjwYQD+/ve/U1RUxNKlSyUWo2DGjBl88cUXuFwuFEXh73//O7NmzZJ4\njLLB/tuUkZGB1Wplx44dKIrChg0bwvcR5+eDDz7g17/+NZs2bcJoNIbPSyxib6BZQRMmHqO3V3b8\n+/TTTxWVSqWUlpYqc+bMUebMmaO8//77SktLi3LllVcqhYWFylVXXaW0tbWF7/P4448rU6ZMUaZP\nn6588MEHo7j68W3btm3hbjMSj9Hx9ddfK/Pnz1dKSkqU66+/Xmlvb5dYjKInn3xSmTVrljJ79mxl\n9erVitfrlXjE0M0336xkZmYqOp1OycnJUZ5//vkhvf+7du1SZs+erUyZMkX52c9+NhovZcw7PRbP\nPfecMnXqVCUvLy/8u/zf//3fwz8vsRhZffHQ6/XhvxunKigoCHebUZSJEQ+VokywQiEhhBBCCCHG\nKCmbEUIIIYQQYoyQ5F0IIYQQQogxQpJ3IYQQQgghxghJ3oUQQgghhBgjJHkXQggxatRqNceOHRvS\nfV999VUWL148zCsSQoj4Jsm7EEIMs40bNzJ//nwsFgtZWVlcffXV/POf/xzx5z2fRHjbtm2o1Wos\nFgtWq5UZM2bw4osvDu8Cz0NlZSVqtZpgMBg+t3LlSj788MNRXJUQQsSeJO9CCDGMfvvb33L33Xfz\nwAMP0NjYSE1NDXfeeSfvvPNOTJ7/fLr/Zmdn09XVRWdnJ08++SS33347hw4dGsbVnT/pbiyEmOgk\neRdCiGHS0dHBQw89xLPPPst1112HyWRCo9FwzTXX8OSTTwLg8Xi46667yM7OJjs7m7vvvhuv1wuE\nxq8vWrQo4jFPvZr+r//6r9x555384Ac/wGq1ctFFF4Vvu/TSSwEoLS3FarXy5ptvUlxczLvvvht+\nLJ/PR0pKCnv37j3na/nhD3+I3W7n0KFDeL3es65527Zt5OTk8MQTT5CamkpBQQEbN24MP85ll13G\nc889Fz7u7zX22bx5M3PnzsVms5GXl8cjjzwSvq3v9SUlJWG1Wvniiy/OeKzPPvuMBQsWkJSUxIUX\nXsjnn38esY4HH3yQSy65BKvVyuLFi2lpaTnn+yCEEPFGknchhBgmn3/+OW63m+uvv/6sP/P444+z\nc+dO9u7dy969e9m5cyePPfZY1M/xxhtv8PDDD9PW1sbUqVO5//77Afjkk08A2LdvH52dnSxbtozV\nq1fzyiuvhO/73nvvkZ2dTWlp6YDPEQwGeeutt+jo6KC4uJjHHntswDU3NDTQ0tJCXV0dL730Ev/2\nb//GkSNHAFCpVKhUqqheW2JiIq+88godHR1s3ryZP/zhD2zatAmATz/9FAh9QOrs7OSiiy6KuG9r\nayvXXHMNd911F62traxbt45rrrmGtra28M+89tprvPjiizQ2NuL1evnNb34T1bqEECKeSPIuhBDD\npKWlhZSUFNTqs//TunHjRh588EFSUlJISUnhoYceYsOGDVE9vkql4oYbbmD+/PloNBpWr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} ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do we observe? *Without accounting for population sizes* we run the risk of making an enormous inference error: if we ignored population size, we would say that the county with the shortest and tallest individuals have been correctly circled. But this inference is wrong for the following reason. These two counties do *not* necessarily have the most extreme heights. The error results from the calculated average of smaller populations not being a good reflection of the true expected value of the population (which in truth should be $\\mu =150$). The sample size/population size/$N$, whatever you wish to call it, is simply too small to invoke the Law of Large Numbers effectively. \n", "\n", "We provide more damning evidence against this inference. Recall the population numbers were uniformly distributed over 100 to 1500. Our intuition should tell us that the counties with the most extreme population heights should also be uniformly spread over 100 to 4000, and certainly independent of the county's population. Not so. Below are the population sizes of the counties with the most extreme heights." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"Population sizes of 10 'shortest' counties: \"\n", "print population[ np.argsort( average_across_county )[:10] ]\n", "print\n", "print \"Population sizes of 10 'tallest' counties: \"\n", "print population[ np.argsort( -average_across_county )[:10] ]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Population sizes of 10 'shortest' counties: \n", "[181 168 229 110 156 123 222 154 498 375]\n", "\n", "Population sizes of 10 'tallest' counties: \n", "[105 114 111 236 373 244 183 278 234 268]\n" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not at all uniform over 100 to 1500. This is an absolute failure of the Law of Large Numbers. \n", "\n", "##### Example: Kaggle's *U.S. Census Return Rate Challenge*\n", "\n", "Below is data from the 2010 US census, which partitions populations beyond counties to the level of block groups (which are aggregates of city blocks or equivalents). The dataset is from a Kaggle machine learning competition some colleagues and I participated in. The objective was to predict the census letter mail-back rate of a group block, measured between 0 and 100, using census variables (median income, number of females in the block-group, number of trailer parks, average number of children etc.). Below we plot the census mail-back rate versus block group population:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 12.5, 6.5 )\n", "data = np.genfromtxt( \"./data/census_data.csv\", skip_header=1, \n", " delimiter= \",\")\n", "plt.scatter( data[:,1], data[:,0], alpha = 0.5, c=\"#7A68A6\")\n", "plt.title(\"Census mail-back rate vs Population\")\n", "plt.ylabel(\"Mail-back rate\")\n", "plt.xlabel(\"population of block-group\")\n", "plt.xlim(-100, 15e3 )\n", "plt.ylim( -5, 105)\n", "\n", "i_min = np.argmin( data[:,0] )\n", "i_max = np.argmax( data[:,0] )\n", "\n", " \n", "plt.scatter( [ data[i_min,1], data[i_max, 1] ], \n", " [ data[i_min,0], data[i_max,0] ],\n", " s = 60, marker = \"o\", facecolors = \"none\",\n", " edgecolors = \"#A60628\", linewidths = 1.5, \n", " label=\"most extreme points\")\n", "\n", "plt.legend(scatterpoints = 1);\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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6kc1tv99PS0vmfnr33Xfp7OwE4PLLLx/1eg7oSqft7e2ce+652afEadOm8dZb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MmktVikezJlea1CuW7jOiHHeyPyBUPQQeZhOYoqU6pYBH5Mv+OALBwaTg7GyDKYOY3xwGPY8xj2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hEHLqQhVFk5hYLgc7XayBy+l7qwz6NlZ/wtxSjv2dHqIoMJl4LK/lcV2fQiWFIMYT5GRaRxRB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4\nDNMYStsAAAAASUVORK5CYII=\n" } ], "prompt_number": 89 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above is a classic phenomenon in statistics. I say *classic* referring to the \"shape\" of the scatter plot above. It follows a classic triangular form, that tightens as we increase the sample size (as the Law of Large Numbers becomes more exact). \n", "\n", "I am perhaps overstressing the point and maybe I should have titled the book *\"You don't have big data problems!\"*, but here again is an example of the trouble with *small datasets*, not big ones. Simply, small datasets cannot be processed using the Law of Large Numbers. Compare with applying the Law without hassle to big datasets (ex. big data). I mentioned earlier that paradoxically big data prediction problems are solved by relatively simple algorithms. The paradox is partially resolved by understanding that the Law of Large Numbers creates solutions that are *stable*, i.e. adding or subtracting a few data points will not affect the solution much. On the other hand, adding or removing data points to a small dataset can create very different results. \n", "\n", "For further reading on the hidden dangers of the Law of Large Numbers, I would highly recommend the excellent manuscript [The Most Dangerous Equation](http://nsm.uh.edu/~dgraur/niv/TheMostDangerousEquation.pdf). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: How Reddits ranks comments\n", "\n", "You may have disagreed with the original statement that the Law of Large numbers is known to everyone, but only implicitly in our subconscious decision making. Consider ratings on online products: how often do you trust an average 5-star rating if there is only 1 reviewer? 2 reviewers? 3 reviewers? We implicitly understand that with such few reviewers that the average rating is **not** a good reflection of the true value of the product.\n", "\n", "This has created flaws in how we sort items, and more generally, how we compare items. Many people have realized that sorting online search results by their rating, whether the objects be books, videos, or online comments, return poor results. Often the seemingly top videos or comments have perfect ratings only from a few enthusiastic fans, and truly more quality videos or comments are hidden in later pages with *falsely-substandard* ratings of around 4.8. How can we correct this?\n", "\n", "Consider the popular site Reddit (I purposefully did not link to the website as you would never come back). The site hosts links to stories or images, and a very popular part of the site are the comments associated with each link. Redditors can vote up or down on each comment (called upvotes and downvotes). Reddit, by default, will sort comments by Top, that is, the best comments.\n", "\n", "\n", "\n", "\n", "How would you determine which comments are the best? There are a number of ways to achieve this:\n", "\n", "1. *Popularity*: A comment is considered good if it has many upvotes. A problem with this model is that a comment with hundreds of upvotes, but thousands of downvotes. While being very *popular*, the comment is likely more controversial than best.\n", "2. *Difference*: Using the *difference* of upvotes and downvotes. This solves the above problem, but fails when we consider the temporal nature of comments. Comments can be posted many hours after the original link submission. The difference method will bias the *Top* comments to be the oldest comments, which have accumulated more upvotes than newer comments, but are not necessarily the best.\n", "3. *Time adjusted*: Consider using Difference divided by the age of the comment. This creates a *rate*, something like *difference per second*, or *per minute*. An immediate counter example is, if we use per second, a 1 second old comment with 1 upvote would be better than a 100 second old comment with 99 upvotes. One can avoid this by only considering at least t second old comments. But what is a good t value? Does this mean no comment younger than t is good? We end up comparing unstable quantities with stable quantities (young vs. old comments).\n", "3. *Ratio*: Rank comments by the ratio of upvotes to total number of votes (upvotes plus downvotes). This solves the temporal issue, such that new comments who score well can be considered Top just as likely as older comments, provided they have many upvotes to total votes. The problem here is that a comment with a single upvote (ratio = 1.0) will beat a comment with 999 upvotes and 1 downvote (ratio = 0.999), but clearly the latter comment is *more likely* to be better.\n", "\n", "I used the phrase *more likely* for good reason. It is possible that the former comment, with a single upvote, is in fact a better comment than the later with 999 upvotes. The hesitation to agree with this is because we have not seen the other 999 potential votes the former comment might get. Perhaps it will achieve an additional 999 upvotes and 0 downvotes and be considered better than the latter, though not likely.\n", "\n", "What we really want is an estimate of the *true upvote ratio*. Note that the true upvote ratio is not the same as the observed upvote ratio: the true upvote ratio is hidden, and we only observe upvotes vs. downvotes (one can think of the true upvote ratio as \"what is the underlying probability someone gives this comment a upvote, versus a downvote\"). So the 999 upvote/1 downvote comment probably has a true upvote ratio close to 1, which we can assert with confidence thanks to the Law of Large Numbers, but on the other hand we are much less certain about the true upvote ratio of the comment with only a single upvote. Sounds like a Bayesian problem to me.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One way to determine a prior on the upvote ratio is that look at the historical distribution of upvote ratios. This can be accomplished by scrapping Reddit's comments and determining a distribution. There are a few problems with this technique though:\n", "\n", "1. Skewed data: The vast majority of comments have very few votes, hence there will be many comments with ratios near the extremes (see the \"triangular plot\" in the above Kaggle dataset), effectively skewing our distribution to the extremes. One could try to only use comments with votes greater than some threshold. Again, problems are encountered. There is a tradeoff between number of comments available to use and a higher threshold with associated ratio precision. \n", "2. Biased data: Reddit is composed of different subpages, called subreddits. Two examples are *r/aww*, which posts pics of cute animals, and *r/politics*. It is very likely that the user behaviour towards comments of these two subreddits are very different: visitors are likely friend and affectionate in the former, and would therefore upvote comments more, compared to the latter, where comments are likely to be controversial and disagreed upon. Therefore not all comments are the same. \n", "\n", "\n", "In light of these, I think it is better to use a `Uniform` prior.\n", "\n", "\n", "With our prior in place, we can find the posterior of the true upvote ratio. The Python script `comments_for_top_reddit_pic.py` will scrap the comments from the current top picture on Reddit. Below is the picture, and some comments:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import Image\n", "#adding a number to the end of the %run call with get the ith top photo.\n", "%run top_pic_comments.py 2\n", "\n", "Image(top_post_url)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Version 2.0.14 of praw is outdated. Version 2.0.15 was released Saturday April 06, 2013.\n", "Title of submission: \n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "3 Wolves in Quebec, Canada\n", "http://i.imgur.com/aHes4aF.jpg\n" ] }, { "jpeg": 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sAUsrRIT72B9oV44y6zBbRSsp8wWm3c6ROWKL5EKHtUo5CrIXAdJFrd4pihKH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HEC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\nx3/YCVHC6QAApahcos2moI0zjYi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"output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "contents: an array of the text from all comments on the pic\n", "votes: a 2d numpy array of upvotes, downvotes for each comment.\n", "\"\"\"\n", "n_comments = len(contents )\n", "comments = np.random.randint( n_comments, size=4)\n", "print \"Some Comments (out of %d total) \\n-----------\"%n_comments\n", "for i in comments:\n", " print '\"' + contents[i] + '\"'\n", " print\"upvotes/downvotes: \",votes[i,:]\n", " print" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Some Comments (out of 49 total) \n", "-----------\n", "\"Shaggydog, Nymeria, and Ghost?\"" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "upvotes/downvotes: [134 17]\n", "\n", "\"I call bullshit. Not one of them is howling, nor is there a moon present.\"\n", "upvotes/downvotes: [80 13]\n", "\n", "\"That would make a badass t shirt.\"\n", "upvotes/downvotes: [10 0]\n", "\n", "\"That is the alpha male and he is alerting his pack that he has found a Tim Hortons.\"\n", "upvotes/downvotes: [2 0]\n", "\n" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ " For a given true upvote ratio $p$ and $N$ votes, the number of upvotes will look like a Binomial random variable with parameters $p$ and $N$. (This is because of the equivalence between upvote ratio and probability of upvoting versus downvoting, out of $N$ possible votes/trials). We create a function that performs Bayesian inference on $p$, for a particular comment's upvote/downvote pair." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as mc\n", "\n", "def posterior_upvote_ratio( upvotes, downvotes, samples = 20000):\n", " N = upvotes + downvotes\n", " upvote_ratio = mc.Uniform( \"upvote_ratio\", 0, 1 )\n", " observations = mc.Binomial( \"obs\", N, upvote_ratio, value = upvotes, observed = True)\n", " \n", " model = mc.Model( [upvote_ratio, observations ]) \n", " map_ = mc.MAP(model).fit()\n", " mcmc = mc.MCMC(model)\n", " \n", " mcmc.sample(samples, samples/4)\n", " \n", " return mcmc.trace(\"upvote_ratio\")[:]\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below are the resulting posterior distributions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figsize( 11., 8)\n", "posteriors = []\n", "colours = [\"#348ABD\", \"#A60628\", \"#7A68A6\", \"#467821\", \"#CF4457\"]\n", "for i in range(len(comments)):\n", " j = comments[i]\n", " posteriors.append( posterior_upvote_ratio( votes[j, 0], votes[j,1] ) )\n", " plt.hist( posteriors[i], bins = 18, normed = True, alpha = .9, \n", " histtype=\"step\",color = colours[i%5], lw = 3,\n", " label = '(%d up:%d down)\\n%s...'%(votes[j, 0], votes[j,1], contents[j][:50]) )\n", " plt.hist( posteriors[i], bins = 18, normed = True, alpha = .2, \n", " histtype=\"stepfilled\",color = colours[i], lw = 3, )\n", " #plt.title( 'upvotes:downvotes: %d:%d'%(votes[j,0], votes[j,1]) )\n", "\n", " \n", "plt.legend(loc=\"upper left\")\n", "plt.xlim( 0, 1)\n", "plt.title(\"Posterior distributions of upvote ratios on different comments\");\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " \r", "[****************100%******************] 20000 of 20000 complete" ] }, { "output_type": "stream", "stream": "stdout", 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FOH78OBeenJwMW1vbeskOlFsLa7sY/syZM3BxcUGPHj0gKyuL5cuX86yUwcHB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\no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} ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some distributions are very tight, others have very long tails (relatively speaking), expressing our uncertainty with what the true upvote ratio might be.\n", "\n", "### Sorting!\n", "\n", "We have been ignoring the goal of this exercise: how do we sort the comments from *best to worst*? Of course, we cannot sort distributions, we must sort scalar numbers. There are many ways to distill a distribution down to a scalar: expressing the distribution through its expected value, or mean, is one way. Choosing the mean bad choice though. This is because the mean does not take into account the uncertainty of distributions.\n", "\n", "I suggest using the *95% least plausible value*, defined as the value such that there is only a 5% chance the true parameter is lower (think of the lower bound on the 95% credible region). Below are the posterior distributions with the 95% least-plausible value plotted:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = posteriors[0].shape[0]\n", "lower_limits = []\n", "\n", "for i in range(len(comments)):\n", " j = comments[i]\n", " plt.hist( posteriors[i], bins = 20, normed = True, alpha = .9, \n", " histtype=\"step\",color = colours[i], lw = 3,\n", " label = '(%d up:%d down)\\n%s...'%(votes[j, 0], votes[j,1], contents[j][:50]) )\n", " plt.hist( posteriors[i], bins = 20, normed = True, alpha = .2, \n", " histtype=\"stepfilled\",color = colours[i], lw = 3, )\n", " v = np.sort( posteriors[i] )[ int(0.05*N) ]\n", " #plt.vlines( v, 0, 15 , color = \"k\", alpha = 1, linewidths=3 )\n", " plt.vlines( v, 0, 10 , color = colours[i], linestyles = \"--\", linewidths=3 )\n", " lower_limits.append(v)\n", " plt.legend(loc=\"upper left\")\n", "\n", " \n", "plt.legend(loc=\"upper left\")\n", "\n", "plt.title(\"Posterior distributions of upvote ratios on different comments\");\n", "order = argsort( -np.array( lower_limits ) )\n", "print order, lower_limits\n", "\n", " " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[0 1 2 3] [0.83778530918250105, 0.78945340111675133, 0.7676689367397137, 0.36240895835250453]\n" ] }, { "output_type": "display_data", "png": 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CERERuHHjBidXjx49uGnvy5cvw9jYGFeuXAEAXLlyhTfdHRMTAwsLCyQlJWHO\nnDmYM2cOT442bdogNja23vVjMBj1g61baz58Sn3dWkUOhPIbW6p+CGAWxbeAKYqVeP78OVRUVOqV\nZuTIkUhLS0N0dDTi4+Oxc+dOLmzx4sVYunQplJWVpVIEa1MmBQIBpkyZAj09PaipqWHBggU4evQo\nF56SkgJ7e/t6yQ6UWwtruxj+xIkTcHNzQ/fu3SEvL4+lS5fyrJTBwcFYtGgRNDU1oampiUWLFuHw\n4cMAyqe/KxTFqKgozJs3j6c4Ojo6cvkYGhpi/PjxEAgE8PDwQHZ2NnJzc7lwFRUVPH/+vN71YzAY\nDManT3cjNfQ1U4e9QQvuY62t3NRifRIwRbESampqePXqVYPSmpqaYt68eZySdObMGeTn53Nr/4io\nTqtiXejr63PfDQwMkJ2d/Vb5Xb16Fbm5uRg6dGiNcXJycqCnp8e5lZSUoKGhwbmzs7N51sjKcnXt\n2hVJSUnIzc3F3bt34enpiczMTDx9+hT//PMPT1Fs3bo1rwwAyM/P5/xevXrF7hlmMBqBT3XdGqM6\nn1JfC4UCmGoqcTe1dNBThYWmUlOL9UnQqHc9f+hYWVkhMTERHTt2bFD64uJiTsm5dOkS/vnnH7Rr\n1w4A8OLFC8jIyCAuLg779u2rllZJSQkFBQWc+/Hj6uspHj58yPuuo6PTIDkrOHjwIIYMGcLJLAlt\nbW3Ex8dz7oKCAjx9+pRz6+joICMjA5aWltXkUlJSgq2tLQICAtC+fXvIycmha9eu2LFjB0xMTKCu\nri61rA8ePOCt2WQwGAwGg/H+YRbFSri4uFQ7SqawsBBv3ryp9h0A9u3bx92dev/+fWzduhVDhgwB\nACxZsgTXr19HREQEwsPD0b9/f3zxxRfYvn27xLJtbGxw7tw5/Pvvv8jJyal2liMR4ddff0VmZiae\nPXuGTZs2wd3dvca61CY3ALx+/RqhoaG1TjsDwNChQ/HXX3/h2rVrKCoqwn/+8x+Ulf3v4vURI0Zg\n48aNyMvLQ15eHjZs2AAPDw8u3MnJCbt27eKshz169MCuXbt4m4akISoqCi4uLvVKw2Aw6s+ntG6N\nUTusrxnS0KQWxZNxTxB85zHelJS+tzJEsjIYadMag9u1qjOup6cnnJ2d8ebNG4hEIgCAvb09Hj58\nCIFAgJEjR0IgEODmzZswMDDA33//jTVr1qCgoAA6Ojrw8vLCjBkzAJSvqau83lFRURHKyso1Tp+O\nHj0aFy+mQa4BAAAgAElEQVRehK2tLcRiMcaMGcNb71hR/ogRI5CdnY1BgwZhwYIFXLiRkRGOHDmC\nbt261Sk3AJw+fRpqamp1vijatm2L9evXY8qUKSgoKMDMmTN5U+ALFizAy5cv0bNnTwDA8OHDeXI5\nOjpi69atnKLo6OiI/Px8ODg48OpWdf1mZXdMTAxUVFTQqVOnWmVlMBgMBoPxbhHQ2y6ck0BYWBg6\nd+5czT8rKwu6urqc2zvo3ntVEisQycrgt9HtpYq7evVqtGrVird7+UOgY8eO2LZtG5ydnZtalEbH\n29sb48ePR79+/ZpaFAbjo6bqO1gSkZGRzNLUTPgY+/pq+nOExj5GKQGGqiK4tdWsMW7eqyIcv5cL\ngQDQEMnBr49xo8n5oRETE9Pg39AmtSg2hpJY33KWL1/+HiVhNITffvutqUVgMBgMBqNZ8sFsZjk0\n1uad5+kZeOed58lgMBifMh+bhYnRcFhfM6Thg1EUGbXDrq9jMBgMBoPR2LBdzwwGg8Hg+JTO1mPU\nDutrhjQwRZHBYDAYDAaDIRGmKEpJYGAgBg4c2NRi1MmsWbOwdu3aphajyVmwYAE2btzY1GJUY8iQ\nIRIPXJeWyMhIdvA4473C1q01H1hfM6SBKYqVuHr1Ktzc3GBsbAwzMzMMGDAA//zzT1OLVS+kuVP6\nXTBkyBDo6enh0aNHnN/FixcbfKvNu2bTpk1YuHBhU4tRjbr6JykpCZMmTUKbNm0gFovRtWtXLF68\nGJmZme9VLk1NTaSmpnLuyMhI9O/fH8bGxujatSvOnTv3XstnMBgMxofJB7OZpal3KL948QKenp7Y\nsmULhg8fjsLCQkRFRUFBQaFJ5WoI7+FoTIkoKSlh48aN2LJlS6OUJy1lZWUQCj++/0DJyclwdXXF\nuHHjEB4eDl1dXTx58gTBwcG4du0aPv/88/dafuXn5tGjR1ixYgUcHBxw4sQJTJ48GcnJyR9luzLq\nx8d4th6jYbC+ZkhDk771RbIyH0w5SUlJEAgE+PzzzyEQCCASidCnTx+0b88/qPvrr7+GqakpOnXq\nhLCwMM7/wIEDcHBwgFgsRufOnbFnzx5eum3btqF9+/awtrbGvn37eBacp0+fYsyYMRCLxXBxccGa\nNWu4aW5fX1+sWLGCl9fYsWPx448/AgBu376N3r17QywWY9KkSdWu6tu7dy/s7OxgZmaGcePGITs7\nmws7f/487O3tYWxsDF9fXwwePFjqaVGBQICpU6fi2LFjPEtUBT/88AO8vb15fosXL8bSpUsBlFsk\n165di/79+8PIyAhjx45FXl4epk6dyrVDRkYGlzY+Ph7u7u4wMzNDt27dEBISwoXNmjULCxYswOjR\no2FoaIhLly7xpuD//fdfeHp6ok2bNjA1NcWYMWPqZaHz8fFBu3btYGxsjMGDB+P+/fu8sn19feHp\n6QmxWIzPPvuM1x4XLlxAt27dYGxsDD8/PxBRjYq8v78/HBwcsGrVKu5Q5IrD36sqiTt37oSlpSXa\nt2+PwMBAzv/FixeYMWMG2rRpA1tbW2zatIkrLzk5GYMHD4axsTEsLCwwefJkAMCgQYMAAM7OzjAy\nMkJISAg8PDzg5OQEoVCI7t2749WrV7y7yBkMBoPRPGhSRXGkTev3rixWXOFXF+bm5pCRkcGsWbMQ\nFhaGf//9t1qcGzduwMLCAklJSZgzZw7mzJnDhbVu3RqHDh1CWloatm/fjmXLluH27dsAym+q+fHH\nH3H8+HFER0dX22nm6+sLFRUVPHjwADt27MChQ4e46ckxY8bg2LFj3I99Xl4eIiIiMGrUKBQVFcHL\nywuenp5ITk7GsGHD8Pvvv3NpIyIisGrVKuzevRtxcXEwNDTklIO8vDz4+Pjgm2++QXJyMszNzREd\nHV2vaWtdXV2MHz8e69atqxY2atQohIWF4cWLFwCAkpISHD9+HJ6enlyc48eP46effsLdu3eRkpIC\nNzc3eHl5ITk5GW3atMH69esBAPn5+XB3d8eoUaOQkJCAXbt2wdfXFw8ePODyOnr0KHx9fZGRkYHu\n3bvzpniJCF5eXrh9+zZu374NkUgEPz8/qevp6uqK69evIyEhAba2tpg2bRov/Pjx4/Dz80NycjJM\nTEywevVqAOVt7O3tjeXLlyMpKQnGxsa4du1ajW0cERHB3RVeG48fP8bLly9x7949bNu2DYsWLeLa\n2c/PD69evcI///yDkydP4vDhwzhw4AAAYO3atejXrx9SU1MRGxuLqVOnAgBOnToFALh06RLS09Mx\nfPhwrqzS0lL4+vpiyJAhvCspGZ8uzMLUfGB9zZCGJp16HtyulVR3MDcGLVq0wOnTp7Ft2zbMnTsX\njx8/hqurK7Zu3QotLS0AgKGhIcaPHw8A8PDwwMKFC5GbmwstLS24urpyeTk6OqJPnz6IiopChw4d\nEBISgnHjxsHS0hJAuWUtODgYQPkP8cmTJ3HlyhWIRCJYWlpizJgxnDLZuXNnqKqqIjw8HL1798ax\nY8fQo0cPtGrVCleuXEFpaSl33eDQoUN590MHBwfDy8sLNjblh5mvWLECpqamyMjIwOXLl9GuXTvO\nmjRt2jRs3769Xm0mEAgwf/58dOnShWdlAwAdHR10794doaGhGD9+PMLCwqChoYEOHTpwaceOHQux\nWAwAcHFxQXx8PHdF4bBhwziL4F9//cXdfw0ANjY2GDx4MEJDQ7Fo0SIA5Vaxrl27AgC3XKBCuVZX\nV8fgwYM52b766isMGzZM6nqOHTuW+75o0SIEBATg5cuXaNGiBQQCAQYPHszdQz1q1Cjudp+zZ8+i\nbdu2nPI3Y8YM7Nixo8Zy8vLy0Lr1//7U/PLLL1i7di1KS0vh7u6OrVu3AgDk5OTg6+sLoVAIFxcX\nKCsrIyEhAR07dsTx48cREREBZWVlKCsrY9asWQgKCoKXlxfk5eWRnp6OzMxM6Onpwd7evs66+/n5\nIS8vj3teGQwGg9G8YAuOKtGmTRts374dd+/exeXLl5Gdnc1NlQLg/YgrKSkBKLd2AcC5c+fw2Wef\nwczMDCYmJjh79iyePXsGAMjOzoa+vj6XVk9Pj/v+5MkTlJSU1BgOlCulR44cAQAcOXIEHh4eXL5V\n7201NDTkvmdnZ/PcysrK0NDQQFZWFnJycqqVU9UtDZqampgyZQrWrVtXzVI2ZswYBAUFAQCCgoJ4\n1kQAnAIOACKRiOdWUFDg2jYjIwM3btyAiYkJ9zl69Chyc3MBlCudlduvKgUFBZg/fz5sbW0hFosx\nePBgvHjxQqq1nGVlZfj222/RpUsXiMVibrPO06dPuTiVnwuRSIRXr14BKG//qm1am5waGhq8pQFT\npkxBSkoKpk+fjtLS/11Dqa6uzlsrqKioiPz8fOTl5aG4uJjX5wYGBsjKygIArFy5EkQEV1dXODo6\ncpbGmnj9+jX27NmDX375hXveGZ8+7Gy95gPra4Y0MEWxBiwsLODp6Ym4uLg64xYWFmLChAn48ssv\nER8fj5SUFLi6unKKiI6ODm93cOXvrVq1gqysbI3hQLmV6vTp07h79y7i4+O59Yva2tqcElBB5XV9\nOjo6SE9P59z5+fl4+vQp9PT0oK2tzVunR0QN3ln75Zdf4tKlS7h16xbPf8CAAYiNjUVcXBzOnj2L\nkSNH1phHbVPeBgYGcHJyQkpKCvdJT0/Hhg0bapWrIs8dO3YgKSkJ586dQ1paGk6ePFnrWsHKHDly\nBGfOnEFISAjS0tK4G3KkSVu134moWt9WxtnZGSdPnqzmL62smpqakJOT4/X5w4cPOWW1devW2Lp1\nK2JjY7Flyxb4+vpKXF9awZMnT0BE1f6MMBgMBqP5wBTF/ychIQE7d+7klKVHjx7h6NGj3HRmbRQV\nFaGoqAiampoQCoU4d+4cLly4wIUPHz4cgYGBiI+PR0FBAe98PxkZGQwePBj+/v54/fo14uPjcfjw\nYZ7ipK+vj06dOmHGjBkYOnQoN7Vqb28PGRkZ/PTTTyguLsbvv//OO85nxIgRCAwMxN27d1FYWIjV\nq1fDzs4OBgYGcHV1RVxcHE6fPo2SkhLs2rULjx8/5tKmp6dDU1MTDx8+rLHeFcqLqqoqZs2ahe+/\n/54XrqioiCFDhmDKlCno0qVLNWtaZeWnNkXI1dUViYmJCAoKQnFxMYqLixETE4P4+Pga01ZWrvLz\n8yESiaCqqopnz55xax8r8Pf3x9ChQyWWnZ+fD3l5eaipqSE/Px+rVq2qsQ6S5H7w4AFOnjyJkpIS\n/PTTT7w2roqfnx+ioqKwfPly7g9AXl4e4uPjpVo7KiMjg+HDh2PNmjV49eoVMjIy8OOPP2LUqFEA\ngJCQEE5RbdmyJQQCAWeZbN26NVJSUnj56evr4969e2ynczODrVtrPrC+ZkgD+wX4f1RUVHD9+nV8\n9tlnMDQ0hJubG6ysrDjFQNL5dxXuFi1aYN26dZg4cSJMTU1x9OhRDBgwgIvXr18/TJ06FcOGDYO9\nvT2nfMrLywMA1q9fjxcvXqBt27aYNWsWRowYwYVV4OnpiXv37nHTzkD5WrW9e/fi4MGDMDc3R0hI\nCG8zRK9evbB06VJMmDAB7du3R1paGnbt2gWg3Pr03//+FytXroS5uTni4+PRsWNHTgl99OgRjIyM\narUmVW6PadOmQVZWVuL0c1xcHEaPHl1r+rra9+jRozh27BisrKzQrl07rFq1CsXFxbWmrfCbPn06\n3rx5AwsLC/Tv3x8uLi68+I8ePUL37t0l1tHDwwOGhoawtraGk5MTunbtKrXcFW383XffwdzcHCkp\nKTWWAwBmZmY4e/YsMjMz4ezsDLFYjIEDB0JPTw9LliyR2G5V8ff3h5KSEjp37oyBAwdi5MiR8PLy\nAlB+X7ibmxuMjIwwbtw4rFu3DkZGRgDKldRZs2bBxMQEoaGhAIDMzEzY2dlVU4ZHjx7NrZcEACMj\nI1y7dg0AEBUVxeXJYDAYjI8fAb2HQ/fCwsLQuXPnav5ZWVlsGgvAgwcP0KNHD+Tk5Ei01qxcuRJP\nnjzhbS6JiorCtGnTuJ3U75qysjLY2Njg559/hpOTEzZt2gQtLS188cUXb5Xvo0eP0K1bN9y/f/+D\n3TXbq1cvhIaGQk1NralFYTDeK9K8g9nZes2Hj7Gvr6Y/R2jsY5QSYKgqgltbzRrj5r0qwvF7uRAI\nAA2RHPz6GDeanB8aMTEx6NevX4PSMotiI3Hy5EkUFhbi33//xbfffosBAwZwSmJCQgJiY2NBRLhx\n4wYOHDjA7UYGgOLiYgQEBLy10laV8+fP4/nz5ygsLMTmzZsBAHZ2dgDKr8B72/LKysqwY8cOuLu7\nf7BKIgCEh4czJZHBYDAYDAl8MDezfOrs2bMHs2fPhoyMDHr06MHbiPHq1StMmTIF2dnZ0NLSwuzZ\ns7mp6wcPHsDFxQXW1tbcMTjviujoaEydOhXFxcWwtLTEvn373tlNNPn5+Wjbti2MjIy4HdsMBuPD\n52OzMDEaDutrhjQwRbGRqE1Z6tSpE65fvy4xzNLSkreT+V3i5+dXr4On64OysvJ7k5vBYDAYDEbj\nwKaeGQwGg8HBztZrPrC+ZkgDUxQZDAaDwWAwGBJhiiKDwWAwONi6teYD62uGNDBFkcFgMBgMBoMh\nEaYoMhgMBoODrVtrPrC+ZkgDUxSr8N133yEgIKCpxWhS/P393/lRPLVx5swZTJo0qdHKYzAYDAaD\nIR1MUazEkydPEBQUBB8fH87v1KlTcHBwgFgshoODA06fPs1LU3EFnrm5Ob799ttGk/WXX35B3759\noauri9mzZ/PC7t+/j759+8LU1BTGxsbo378/rl692miy1Zf+/fvj/v37uHfvXlOLwmA0e9i6teYD\n62uGNDBFsRIHDx6Eq6srd+h0bm4upk2bhtWrVyMtLQ3fffcdpk6diry8PADAb7/9hj/++AOXLl3C\npUuXcObMGfz222+NIquuri4WLlyIcePGVQvT09PD7t27kZSUhJSUFLi7u8Pb27tR5GooI0aMwJ49\ne5paDAaDwWAwGJVgimIlwsLC4OTkxLlTUlKgrKzM3Y/o6uoKJSUlpKSkAChXLGfPng1dXV3OshcY\nGCgx78jISFhbW/P8bG1tERERAaB8utfb2xuTJk2CWCxGnz59EBsbW6OsgwcPxsCBA6GhoVEtTFVV\nFWKxGAKBAKWlpRAKhdDW1q4xr7S0NAwePBhisRgjRozA06dPeeF//PEHHBwcYGJigqFDhyI+Ph4A\ncODAAYwdO5aLZ2dnx7PGWltbc3XQ1NTEb7/9hq5du8LExASLFi3ildGjRw/89ddfNcrIYDAaB7Zu\nrfnA+pohDUxRrMS9e/dgbm7Oua2srCArK4s///wTpaWlOHXqFBQUFGBlZQWg/Hq9iu8V8R88eCB1\neQKBgOf+448/MHz4cCQnJ2PkyJHw8vJCaWkpAMDX1xe+vr7V8iCiGvM3NjaGnp4etm3bVqulc8qU\nKejUqRMSExOxcOFCHDp0iJMtMTERU6dOxbp165CYmAhXV1eMHTsWJSUlcHJyQlRUFAAgKysLxcXF\n3A0zqampKCgo4LXPX3/9hbCwMERGRiIkJARhYWFcmIWFBdLT0/Hq1as6Wo3BYDAYjPqRX1yKX6Mf\n8T5/xeehtKzm31BGOUxRrMTz58+hoqLCuZWVlbF582ZMmjQJurq6mDZtGjZv3gxFRUUA5fcZq6qq\ncvFbtGjxVopOx44dMWTIEMjIyGDmzJkoLCxEdHQ0AGDDhg28+6ErqKpsViY1NRWpqalwd3eHj4+P\nRKXy4cOHuHnzJpYuXQo5OTk4ODjAzc2NCz9+/Dg+++wz9OrVCzIyMpg9ezbevHmDv//+G8bGxlBR\nUcHt27cRFRXFrZlMSEjA5cuX4ejoyCtr3rx5UFVVhb6+Pnr06IG7d+9yYRXt/vz58/o1GoPBeKew\ndWvNh+bU10WlZUh4UsD7XEh6ittZL5tatA8epihWQk1Njafo3bp1C/Pnz8epU6fw+PFj/P7775g7\ndy43naqsrIyXL//3kL148YKnaNYXPT097rtAIICenh6ys7NrTVObRREAlJSU8M033yApKUniZpGs\nrCyoqalxyi8AGBoact+zs7NhYGBQTa6srCwAgJOTEyIjIxEVFQUnJyc4OjriypUriIqKqqYotm7d\nmidXfn4+565o95YtW9ZaHwaDwWAwpEFdSQ5KckIQAWUSPgDwpKC4aYX8CKhVUZw4cSK0tbVhY2NT\nLWzTpk0QCoXV1rN9zFhZWSExMZFzR0REwM7ODra2tgCATp06oUuXLggPDwcAtG3blmcVu3v3Ltq2\nbSsxbyUlJbx+/Zpzl5aWcptiKnj06BH3vaysDJmZmdDV1a1V5tosipXLKisr4ymDFejo6ODff/9F\nQUEB55eRkcF919XV5bmJiCdXVUWxwn358mXees+6iI+Ph5GR0Vsp2gwG4+1h69aaD596XwuFAoyy\n0UZvE3X0NFbjPjoq8k0t2kdFrYqij48Pzpw5U80/IyMDZ8+ehVgsfm+CNQUuLi64fPky57ayskJU\nVBSnDFZMsbZv3x4A4OnpiZ07dyIrKwuZmZnYuXMnb3NHZczNzVFYWIizZ8+iuLgYGzduRGFhIS/O\nrVu3cPLkSZSUlCAgIAAKCgqws7OTmF9paSnevHmDkpISlJaWorCwkFvPePHiRdy5cwelpaV48eIF\nli9fDnNzc5iamlbLx9DQEB07dsS6detQXFyMq1ev4s8//+TChw0bhrNnzyIiIgLFxcXYsWMHFBQU\nYG9vDwBwdHREZGQkCgsLoauri27duiEsLAzPnj1Dhw4damzrqpbQy5cvw9XVtcb4DAaDwWDUFzlZ\nIcy1lGDZWpn7tFCQbWqxPipqba2ePXsiNTW1mv9XX32F9evXY9iwYTWmnTVrFoyMjACU78K1sbGB\nmZkZL076nuNIDTiI0oI3DRBdOmSURDCePgZGEz6vM66npyecnZ3x5s0biEQi9O3bF3PmzMEXX3yB\nJ0+eoFWrVvjqq6/Qu3dvAIC3tzdSU1O5dR5ffPEFJkyYIDFvVVVVbNiwAXPnzkVpaSnmzJkDfX19\nXpyBAwfi+PHjmDVrFkxNTbF3717IyMgAABYsWACg3JILABs3bsT69eu5tEFBQfDz88OiRYvw/Plz\nLF68GJmZmVBWVoaTk1ONu7GB8jMZZ86cCTMzM3Tt2hVjxozh1gpaWFggICAAfn5+yMrKQocOHRAY\nGAhZ2fJHx8zMDCoqKnBwcODqaWJiglatWvGsnVUtnwKBgOd37Ngx/PzzzzXKyGAw3g0VVqSK91ZV\nd4VfTeHM/em4e/To8UHJI4379vWryEx5Bu12XQAAMdfKN1R27uYgtTsp8yWgX77RMvbGNSjmqH4w\n9XtXbqDcAJOeng4Ab3WphYDqWOSWmpqKIUOG4M6dOwCA0NBQXLx4EVu2bIGJiQlu3LhR7YiWsLAw\ndO7cuVpeWVlZvKnUCIfR71VJrEBGSQTnqCCp4q5evRqtWrVq1JtJgPLjcVJSUprlrTBnzpzBkSNH\n8Ouvvza1KAzGJ03VdzCD8bFxNf05QmMfo5QAQ1UR3Npq1juP8KRnSMgrgIwA6GuuAVeL+ufxsRET\nE8Md9Vdf6mV/LSgowNq1a3H27FnOr67NFLXRGEpifctZvnz5e5SEIYn+/fujf//+TS0Gg8EA35rI\n+LRhfc2QhnopiklJSUhNTeU2dzx8+BBdunTB33//zdvR2hD63DrxVuklccF26DvP830izcYUBoPB\nYDAYjMaiXoqijY0NcnJyOHdNU8+M+uPn59fUIjAYDAazMDUjWF8zpKHWXc9jxoyBo6Mj4uPjYWho\niN27d/PCmQWMwWAwGAwG49OlVoviwYMHa02cnJz8ToVhMBgMRtPC1q01H1hfM6SB3czynvH39+d2\nUKenp0NTUxNlZWUS49ra2nKHedeXWbNmYe3atQDKB7+1tXW9ZJNExS0rjNq5du0a7OzsYGRkhD/+\n+KPO+HU9B++TLVu2YO7cufVO9zbPpjRUbZPRo0fj8OHD7628xuJTqQeDwWi+fDCnTn4IG09sbW2x\nbds29OrVq0nKr3q2YGOlrYnKSmJ9j+9JT09Hp06d4OLiwvuhnDZtGkxNTaVak6mpqYkbN27A2Ni4\n3rI3Jv/5z38wdepUTJ06VWK4ra0tfvjhBzg7OzeyZNWZP39+g9K9j+erNoKCpDvO6kPnY6wHszA1\nH1hfM6ShSS2KMkqiD6qcxv4xfNe8zVFF74uYmBhER0dz7vq28YdYp6o8fPgQlpaWNYYLBIKPoh6M\nt6MpLMQMBoPxvmlSRdF4+pj3rixW3MzytpSVlWHz5s3o0qULxGIx+vbti8zMTADAkiVLYGNjw/lf\nvXq1weXExMTAwcEBpqam+PLLL7lr/gIDAzFw4EBeXE1NTYk351Tl+++/h7W1NcRiMbp164aIiAgu\nrKioCDNnzoRYLIajoyNu3rzJhVVMN4aFhWHLli04fvw4jIyM6mVxnTNnDlavXs3zq6w07d27F3Z2\ndjAzM8O4ceOQnZ0NABg0aBAAwNnZGUZGRggJCamWNxFh48aNsLW1haWlJWbOnIkXL14A+N9U5qFD\nh9ChQwdYWFhg8+bNvLRbt25Fly5dYG5ujokTJ+Lff/+tsR41ydm5c2ekpqZi7NixEIvFKC7mXzA/\nffp0PHz4EGPHjoWRkRG2b9/OhQUFBdVbtop6BQYGcrcd7d69GzExMejRowdMTExqtdZWXm7w5s0b\nTJs2Debm5jAxMYGLiwtyc3NrTHvnzh307NkTxsbGmDRpEu8KypraZ926dVi8eDEAoLi4GAYGBvjm\nm28AAK9fv4auri53C1BlhgwZgn379gEof/YHDBiAr7/+GqampujUqRPCwsK4uGlpaRg0aBDEYjHc\n3d3h6+sr9YH5/v7+8PHxqXEMPHjwAEOGDIGJiQkcHR15V5rOmjULCxYswOjRo2FoaCjx3tzK9fhY\n+NTv/2X8D9bXDGloUkXRaMLncI4KQp9bJ97bxzkqSKrr++pix44dOHbsGIKCgpCWlobt27dDUVER\nQLmycOnSJaSkpGDkyJHw8fFBUVFRvcsgIgQHB+Po0aOIiYlBYmIid2VfQ0lISMCuXbsQFhaGtLQ0\nHD16lLtaESi/FWXEiBFITU3FgAEDsGjRIi6swvrXr18/zJ8/H+7u7khPT6/XWjUfHx8kJSXx0lRY\nFCMiIrBq1Srs3r0bcXFxMDQ0xOTJkwEAp06dAgBcunQJ6enpGD58eLW8Dxw4gEOHDuH3339HTEwM\n8vPzqylJ165dQ3R0NEJCQrBhwwYkJCQAAH766Sf88ccfOHnyJOLi4qCmpgZfX1+JdahNzpiYGBgY\nGODgwYNIS0uDnJwcL21AQAAXnp6ejtmzZ78T2WJiYnDjxg3s2rULS5YswZYtWxAaGoorV64gJCSk\n1rWlFe1/6NAhvHz5Enfv3kVycjI2b94MkUjyHzciQmhoKIKDg3Hz5k3cu3eP2+xWW/s4OTlxP0b/\n/PMPtLW1ERVVfqVWdHQ02rRpg5YtW0qUsbLlOSYmBhYWFkhKSsKcOXMwZ84cLmzKlCmws7NDUlIS\n/Pz8EBQUVC+r9Z9//ilxDBQXF2Ps2LHo168fEhIS4O/vj2nTpiExMZFLe/ToUfj6+iIjIwPdunWr\nsx4MBoPxscE2s0jJ/v37sXz5cu6+6vbt20NdXR0AMGrUKKipqUEoFGLmzJkoLCzk/ZhIi0AgwJQp\nU6Cnpwc1NTUsWLAAR48efSu5ZWRkUFRUhPv373MWncpr/hwcHNCvXz8IBAKMGjUKsbGxNebVkOlT\nJSUlfPXVV1izZk21PIKDg+Hl5QUbGxvIy8tjxYoViI6OxsOHD6XKOzg4mLtTXFlZGStWrMCxY8d4\nU4CLFi2CgoICrKysYG1tzdXvt99+w7Jly6Crqws5OTksWrQIJ06ckDh9+LZy1sTbyLZw4ULIy8uj\nT0jVIWsAACAASURBVJ8+UFFRwYgRI6CpqQldXV04ODjg9u3bNZZb0QdycnJ4+vQpkpOTIRAI0KFD\nB7Ro0UJiGoFAgKlTp0JbWxtqampwc3PjrvWsrX3s7OyQnJyMZ8+eISoqCl5eXsjMzER+fj6uXLkC\nJycnqdrK0NAQ48ePh0AggIeHB7Kzs5Gbm4uHDx/i5s2bWLJkCWRlZdGtWzcMGDCgXs9qTWPg+vXr\nKCgowLx58yArK4uePXvis88+443JQYMGoWvXrgAABQUFqcv8kGHr1poPrK8Z0sAURSl59OhRjZsq\ntm/fDgcHBxgbG8PExAQvXrxAXl5eg8rR19fnvhsYGHBTeA3F1NQUa9euhb+/PywtLTF58mRenlpa\nWtx3JSUlvHnz5p2vtfLy8kJubi7+/PNPnnUlOzsbhoaGnFtZWRkaGhrIysqSKt+cnBxeegMDA5SU\nlODx48ecn7a2NvddUVERr169AgBkZGRg/PjxMDExgYmJCRwcHCArK8tL+67krIm3ka3yTUgikaia\nOz8/v87yPTw80LdvX0yaNAlWVlZYuXIlSkpKaoxfuQxFRUUUFBQAqL19FBUV0bFjR1y+fJlTDO3t\n7XHt2jVcuXIFjo6OdcpZtWwlJSUAQH5+PrKysqCurs6zhFYeQ9JQ0xjIzs6ulpehoSE3fgQCQb3L\nYjAYjI8NpihKib6+PlJSUqr5R0VF4YcffsDu3buRmpqKlJQUqKqqNnjzQmUr1cOHD6GjowOg/Afs\n9evXXFjlG3IqqGmKa8SIETh9+jRu3boFgUCAb7/9tkGyNRR5eXksWrQIa9eu5bWLjo4O0tPTOXd+\nfj6ePn0KXV1dqfKtmv7hw4eQlZWV6jpJAwMDBAcHIyUlhfs8evSIa+/ayqmvnPWdeqyPbG9Tpqys\nLBYtWoSoqCicOXMGf/75Jw4dOlQvWYG628fJyQkRERG4c+cOOnXqBCcnJ4SFhSEmJkZqRbG2sp89\ne8YbG29r6a2c96NHj3jPbEZGhtT9/rHC1q01H1hfM6SBKYpSMn78eKxduxbJyckgIsTGxuLZs2fI\nz8+HrKwsNDQ0UFRUhPXr1+Ply5cNKoOIsGvXLmRmZuLZs2fYtGkT3N3dAQDW1ta4f/8+7t69izdv\n3sDf379aWknKaWJiIiIiIlBYWAgFBQWIRCLIyMjUWzZtbW2kp6c3WAH28PBAYWEhbxPCiBEjEBgY\niLt376KwsBCrV6+GnZ0dDAwMAJRbkSQp5xW4u7vjxx9/RHp6Ol69eoXVq1fD3d0dQmHdj7W3tzdW\nrVrFKRVPnjyp8QzEuuSsCy0tLak2HTVEtpqQpp8iIyNx7949lJaWQkVFBXJycvV6NirKqKt9HB0d\ncfjwYbRt2xZycnJwcnLC/v37IRaL3/r6T0NDQ3Ts2BH+/v4oLi5GdHR0Ncu1ra1tgxTgLl26QFFR\nEdu2bUNxcTEiIyPx119/cWNS2rHAdrwzGIyPGaYoSsnMmTMxfPhwjBgxAsbGxpg3bx7evHmDvn37\nol+/fujatSs6duwIRUXFagpE5R+t2iw9FWukRowYgc6dO8PMzAwLFiwAAJibm8PX1xeff/457O3t\n4eDgUC1fSeUUFRVh1apVaNOmDdq1a4e8vDysWLGiRnlqkm/YsGEAADMzM/Tt2xcA8NVXX3Hy1VSf\nCoRCIRYvXszbWdyrVy8sXboUEyZMQPv27ZGWloZdu3Zx4X5+fpg1axZMTEwQGhpaLX8vLy+MHj0a\ngwYNQufOnaGoqMhToGtr6+nTp6N///4YMWIExGIx3NzcEBMTIzFuXXLWxfz587Fx40aYmJhg586d\nby2bNNbCup4zAHj8+DF8fHxgbGwMB4f/Y+/O46Kq9/+Bv4ZhBxFFAdlBEFxIJFEB0xKRMsklEZfc\nsuueLSak1f12zdxSs0XNsrRcMy3tmplbtysChuC+YAoKskiyyL7O/P7gx7mMDDAwwAxzXs/Hg4dz\n5pzzOZ85b4Q3n/M55+2PwYMHIzw8XNWPJbTT2Pnx8/NDaWkp/P39AQCenp4wNjauM5pYX5+V3RBS\ne/nLL79EXFwc3N3dsXLlSowdO1a4qai8vBx5eXno379/o5/j8WVDQ0Ps2bMHJ0+ehIeHByIiIrBl\nyxa4u7vX26+G2o+JiVG4kWzDhg2YMGGCsDxhwgRs3Lix0fZaG+etiQdjTaqQyFvhz91Tp07B19e3\nzvsZGRk6f9mGiDTr5ZdfhqenJyIjIxEbG4tvvvkGX375paa7pRX4M5jau9iURzh8LQtVcsDRwhgh\nXlZNbuOPO7n4K7sYUgkwzL0zgj2a3kZ7k5CQgKCgoGbtyxFFImrXLly4gOTkZMhkMpw8eRLHjh0T\nnsM5aNAgJolNxHlr4sFYkyq0poQfEVFzZGVlYdq0acjNzYW9vT3Wr1+vUq1zIiJqHBNFImrXQkJC\nEBISoulu6AzOWxMPxppUwUvPRERERKQUE0UiIhJw3pp4MNakCiaKRERERKQUE0UiIhJw3pp4MNak\nCiaKRERERKQUE8XHLF++HF988YWmu9GqUlJSYGVlBZlM1ibHKysrw6BBg5Cdnd0mxyOi5uO8NfFg\nrEkVTBRrefjwIfbv34+ZM2cCACoqKjBjxgz4+PjAysoKZ8+erbPP+++/D3d3d7i7u+Nf//pXm/U1\nNzcXU6dOhaOjI/r27YuDBw+22bGbysjICFOmTNGK8mRERESkOiaKtezduxfBwcEwMjIS3vP398fW\nrVthY2NTp67rjh078Ouvv+LMmTM4c+YMjh07hh07drRJX5csWQIjIyMkJibiyy+/xOLFi3Hz5s02\nOXZzjBs3Dvv27UNFRYWmu0JEDeC8NfFgrEkVTBRrOXXqFAIDA4VlAwMDzJkzBwMHDoSeXt1TtXfv\nXixcuBDdunVDt27dsHDhQuzZs0dp21FRUXWqRfTt2xf//e9/AQBr1qzBjBkzMGvWLDg7O+OZZ57B\ntWvXlLZVVFSEI0eOYNmyZTA1NcXAgQMxcuRI7N+/X+n2MpkM7733Hjw8PODr64vjx48rrM/IyMDk\nyZPRvXt39O/fHzt37gQAlJaWws7ODrm5uQCA9evXw9raGoWFhQCAlStX4p133gEALFiwAEuWLMHE\niRPh7OyMESNG4O7du8Ix7O3tYWlpibi4OKV9JCIiIu3DRLGW69evw93dXeXtExMT0bt3b2G5d+/e\nSExMVHn/x0cof/31V4wZMwZJSUkYP348XnrpJVRVVQGoHkFcsmQJAODOnTvQ19eHm5ubsG+fPn3q\nHVH89ttvceLECfzxxx84ffo0fv75Z4Vjv/LKK3BwcMCNGzewY8cOfPDBBzhz5gyMjY3h6+srzGOJ\njo6Gk5MTzp07BwA4e/asQmL9008/ITIyEklJSXB1dcWKFSsU+tGjRw9cvXpV5fNDRG2P89bEg7Em\nVTBRrOXRo0cwNzdXefuioiJYWFgIyx06dBBG25rDx8cHoaGhkEqlmD9/PsrKyoQRuI8++ggfffSR\ncNwOHToo7Gtubl7vsQ8dOoR58+bBzs4OlpaWeOONNyCXywEAaWlp+PPPP/F///d/MDQ0RJ8+fTB1\n6lR8//33AIDAwEBER0ejqqoK169fx+zZs3H27FmUlpbi4sWLCAgIAFCd9I4aNQr9+vWDVCpFWFhY\nnaTQ3Nwcjx49avb5ISIiorbFRLEWS0vLJiV6ZmZmKCgoEJbz8/OblGg+zs7OTngtkUhgZ2eHzMzM\nRo/b2LEfPHgAe3t7YdnBwUF4nZGRgU6dOsHMzExhfUZGBgAgICAAUVFRuHTpEnr16oWhQ4fi7Nmz\niI+Ph6urKywtLYX9rK2thdfGxsZ1zmVhYaHC9kSkfThvTTwYa1KFviYPfvFcCs5H3UVFeVWrHcPA\nUIr+g13gM9Cp0W179+6N27dvw8fHR6W2vby8cPXqVfTr1w8AcPXqVXh5eSnd1tTUFCUlJcJyVVVV\nncfFpKWlCa9lMhnS09PRrVu3Om11794dlZWVSEpKEi4/X716FT179lR6bBsbG9y/f19Yrv26W7du\nyM3NRWFhoZBo3r9/X0ha/fz8cPv2bfzyyy8IDAyEp6cn0tLScOLEiSb/kLl16xYWLlzYpH2IiIhI\nczQ6otjaSSIAVJRX4XzUXZW2HT58eJ1H4JSVlaG0tLTOawCYOHEiNm/ejIyMDKSnp2Pz5s2YPHmy\n0rbd3d1RVlaGEydOoKKiAuvWrUNZWZnCNpcuXcKRI0dQWVmJL774AkZGRujfv3+dtszMzDBq1Cis\nWrUKxcXFiI2NxbFjxzBhwgSlxx4zZgy2bt2K9PR05OXl4ZNPPhHW2dvbY8CAAfjggw9QVlaGa9eu\nYffu3QgLCwNQneD27dsX27ZtE+Yj+vn5Yfv27cJlZwDCpez6pKenIzc3V+nnISLtwXlr4sFYkyo0\nmii2dpLY1ONMnDgRJ06cUEgGBwwYAHt7e2RmZmL8+PFwcHAQRuRmzJiBkJAQDB48GE899RSeffZZ\nTJ8+XWnbFhYW+Oijj/Daa6+hT58+MDc3V7gcDAAjR47ETz/9hO7du+OHH37Ad999B6lUCgBYvHgx\nFi9eLGy7bt06lJaWwtPTE3PmzMGGDRvg6emp9NjTpk3DsGHDMGTIEAwbNgyhoaEKN7N89dVXSElJ\nQa9evTBt2jQsXboUQ4YMEdYHBgaiqqoKvr6+wnJRUZFCoiiRSOrcnFN7+eDBg5g0aRIMDAyU9pGI\niIi0j0Te2FBQM5w6dUpIKmrLyMhQuJS6ZdXvwut5S59p6W40q/0VK1agS5cumDt3bov3pyFr1qxB\ncnKyTlaFKSsrw9ChQ/HLL7/AyspK090hEq3HfwYTtTexKY9w+FoWquSAo4UxQrya/jvljzu5+Cu7\nGFIJMMy9M4I9dP/3UkJCAoKCgpq1r0bnKGqjd999V9Nd0DlGRkaIjY3VdDeIiIioiXjXsxZ5/NIt\nEVFb47w18WCsSRUcUdQSkZGRmu4CERERkQKOKBIRkYDP1hMPxppUoTUjirVvPNFGunCziZWVFeLj\n4+Hi4lJn3Z49e7Br1y4cPXq01fvRt29ffPrppxg6dGirH6vGggULYG9vj2XLlqndVlRUFObOndsu\nyhGGhoZiwoQJmDp1ap119+/fR0BAAO7du8dpD0REpJRGRxQNDKVacxxHR0c4OTnByckJVlZWsLe3\nF5YPHDig1vH37NmDkSNHqtWGLlH2KB1dPGZLCQ0Nxc6dO5u1b0Of28HBASkpKQ2eF3WOTe0T562J\nB2NNqtBooth/sEurJ4s1lVkak5qaipSUFKSkpMDR0RF79+4VlsePH9+qfaS20QpPgmoTmkhw5XI5\nZDJZu02uiYioZWg0UfQZ6IRXFg/BvKXPtNrXK4uHqFS+TxXl5eWYP38+nJ2dERAQgIsXLwrrNm7c\niCeffBLOzs7w9/fHL7/8AgBITEzEW2+9hbi4ODg5OQkl92o7c+aMwlyRcePGYfjw4cLyyJEj8euv\nvwrthYaGwtXVFQEBATh27Jiw3eOjPw2NZObk5GDy5MlwdnZGcHAw7t69W+/nTklJgZWVFfbs2QNv\nb290794d27dvR0JCAgYPHgxXV1eFm3GSk5MxevRouLu7w8PDA3PmzEF+fr7SthMTE9GvXz/89NNP\nAIDffvsNQ4YMgaurK5599llcv3693n4tXboU3t7ecHZ2xrBhwxp9BE92djZefPFFODs7IzQ0VKGU\nYUNtlZSUYMGCBXBzc4O/vz8uXLig0G59sQeApKQkjBo1Ci4uLvDw8MCsWbMAVCdi77zzDjw9PeHs\n7IzBgwfj5s2bdfq8YsUKxMTEIDIyEk5OTnj77bfrbFNaWoo5c+bA3d0drq6uGD58OB4+fCisT01N\nxXPPPQdnZ2eMHz8eOTk5AP4XV5lMBqD6++fDDz/Ec889BwcHB8ybN6/RY5Pu4bw18WCsSRW8maUJ\njh07hhdffBF3797Fc889h4iICGGdq6srjh49inv37iEyMhJz585FVlYWPD09sX79evj5+SElJQVJ\nSUl12u3fvz+SkpKQm5uLiooKXLt2DZmZmSgqKkJJSQkuXboEf39/VFRUYPLkyQgKCsJff/2FNWvW\nYM6cObhz5w6Apl1eXbJkCUxMTHDz5k189tln2LNnT6P7JiQkID4+Htu2bcPSpUvx8ccf4/Dhw4iO\njsahQ4cQHR0tbPvmm2/ixo0biI2NRVpaGtasWVOnvUuXLiEsLAxr167F2LFjcfnyZSxatAgbN25E\nUlISZsyYgcmTJ6O8vFxpf3x9fXHmzBkkJydj/PjxmDlzZr3byuVyHDhwAEuWLMFff/0Fb29vzJ49\nW6W21q5di3v37uHChQs4cOAA9u7dq3Cu6os9AKxcuRJBQUG4e/curl27hjlz5gAATp8+jZiYGMTF\nxeHevXvYvn07OnXqVKff7777Lvz9/bF27VqkpKRg9erVdbbZt28fCgoKcPXqVSQlJWHDhg0wMjJS\n+NybNm1CYmIiysvL8fnnnys9RwCwf/9+bNy4Eampqdi0aVOjxyYiIt3GRLEJ/P39ERQUBIlEgrCw\nMFy7dk1YN3r0aNjY2ACorq3s5uaG+Ph4AI1f8jQxMUG/fv1w9uxZXLx4Ed7e3hg4cCBiY2Nx/vx5\nuLm5wdLSEufPn0dxcTFef/116Ovr46mnnsKIESOaPIeyqqoKR44cwdKlS2FiYgIvLy9MnDix0X6+\n9dZbMDQ0xDPPPANzc3O8+OKLsLKyQrdu3eDv74/Lly8DqE6chg4dCgMDA1hZWWHevHl1amhHR0dj\nypQp+OKLLxAcHAwA+PbbbzFjxgz4+vpCIpFg4sSJMDIywvnz55X2JywsDJaWltDT08P8+fNRVlaG\n27dv19v/ESNGYNCgQTA0NMQ777yDuLg4pKenN9rW4cOH8eabb6Jjx46wt7fH3LlzFc6VstgnJCQA\nAAwNDZGSkoL09HQYGhpiwIABwvuFhYW4desWZDIZPDw8hDaUaSg2BgYGyMnJQVJSEiQSCZ544gl0\n6NABQPUfD1OmTIGbmxuMjY0xZswYXLlyRWk7EokEkydPhqenJ/T09KCvr9/osUn3cN6aeDDWpAqt\nueu5Pejatavw2tTUFKWlpZDJZNDT08O+ffuwZcsWpKSkAACKioqES3yqCAwMxNmzZ2FnZ4eAgABY\nWloiOjoahoaGwuWBzMzMOvWhHR0dkZmZ2aTP8fDhQ1RWViq05eDg0Oh+1tbWwmtjY+M6y0VFRQCA\nrKwsLF26FOfOnUNBQQHkcjksLS2FbeVyOXbs2IHAwECFetGpqan4/vvv8eWXXwrvVVZW4sGDB0r7\n8/nnn2P37t3IyMiARCJBQUEBsrOzlW4rkUhgZ2cnLJuZmaFTp07IzMyEnZ1dg209ft4fj4Gy2Nfs\n+/7772PlypUIDg5Gx44dsWDBAkyZMgVPPfUUXnnlFURERCA1NRWjRo3C8uXLhQRPWf/rEx4ejrS0\nNMyaNQv5+fkICwvDu+++KyR69cVJmdrnSJVjExGRbuOIYgtITU3FG2+8gY8++ghJSUlITk5Gz549\nhZEYVX7RBgQE4MyZM4iOjsbgwYMREBCAqKgoREdHC8mUra0t0tLSFEZ4UlNThdqtpqamKC4uFtbV\nXP58XJcuXaCvr68wR6/26+aq+ZwrVqyAVCrF2bNnce/ePWzZskWYB1ez3YYNG5Camop33nlHeN/B\nwQFvvvkmkpOTha/U1FSMHTu2zrFiYmLw2WefYfv27bh79y6Sk5NhYWHR4OhXWlqa8LqwsBC5ubmw\ntbVttC0bGxuF81O7ncZib21tjY0bN+LatWv4+OOPsWTJEmE+6OzZs4VL0Hfu3Kn3knBj3z/6+vqI\niIhATEwMjh07ht9++w379u1rcJ/6PH4sJoniw3lr4sFYkyqYKLaAoqIiSCQSdO7cGTKZDLt378aN\nGzeE9dbW1khPT0dFRUW9bQwYMAC3b9/GhQsX4OvrCy8vL9y/fx/x8fFCoti/f3+YmJjg008/RUVF\nBaKionD8+HGMGzcOAODt7Y0jR46gpKQESUlJ2LVrl9JjSaVSjBo1CmvWrEFJSQlu3ryJffv2qZUU\n1E7QCgsLYWpqig4dOiA9PR2fffZZne3Nzc1x4MABxMTEYPny5QCAadOmYfv27YiPj4dcLkdRURGO\nHz+OwsLCOvsXFhZCX18fnTt3Rnl5OdauXYuCgoIG+3fixAmcO3cO5eXlWLVqFfz8/GBnZ9doW2PG\njMHGjRvx6NEjpKWlKYx4Nhb7Q4cOCYllx44dIZFIoKenhwsXLuD8+fOoqKiAiYkJjIyMoKen/L9j\n165dG7zZKCoqCtevX0dVVRXMzc1hYGAAqfR/TxNoyqXjx7dt7NhERKTbmCg2QX2jLV5eXliwYAFC\nQkLg5eWFGzduYNCgQcJ2Q4YMgZeXF7y8vNCjRw+lbZuamqJv377w8vISLhkOGDAAjo6OsLKyAlA9\nF23Pnj04efIkPDw8EBERgS1btsDd3R0AMG/ePBgaGsLLywsLFy5EWFiYQp9rv167di2Kiorg5eWF\nRYsWYcqUKU367A2tj4iIwOXLl+Hi4oLJkyfjhRdeULq/hYUFfvzxR5w8eRKrV6+Gj48PNm7ciMjI\nSLi5ucHPz6/ekbGgoCAEBQXBz88PPj4+MDExafDyec280rVr18Ld3R2XL1/G1q1bVWorIiICjo6O\n8PHxQVhYGCZOnKhy7C9evIiQkBA4OTlhypQpWL16NZycnFBQUIA33ngD3bt3h4+PD6ysrPDqq68q\n7fucOXPw888/w83NTekDw7OysjBz5ky4uLjA398fgwcPRnh4uNLYPH7DU2MjiMqOHRAQgIMHDwKo\nHol2cnISkuEffvhBYTrB4sWLsXjxYqWfi7QT562JB2NNqpDIW2Gm+qlTp+Dr61vn/YyMDOEyKRER\ntS1VfgZHRUXxkqRItMdYx6Y8wuFrWaiSA44WxgjxsmpyG3/cycVf2cWQSoBh7p0R7NH0NtqbhIQE\nBAUFNWtfjigSEZGgvSUO1HyMNamiwbueX375Zfzyyy+wtrYWHqmxZMkSHDlyBIaGhsKDlzt27Ngm\nnSUiIiJxiLn3CL/fyUFZ5f9uhpTxaV1trsERxZkzZypU/gCqn0V37do1XLp0CT169MCqVatatYNE\nRNR2OG9NPLQ91r/fyUF+WSVKq2TCV7lMhpq0Ucprom2iwdP81FNP1akWERwcLNydOXDgwBZ5rAoR\nERFRbWWVMsgByOV1v4z19eBlbabpLoqCWg/c/uabbzBp0iSl6xYsWAAnp+oayxYWFkKNYCIi0pya\nUaSa+WmPL9e8V996LuvO8uDBg7WqP8qW069XVzhbNOE5GOnr4eKfMQCAAf0DoacnQcK56mXfgf4A\noNLynfQCwL43AOBa/DmYPLDQms/bUssAcPbsWaEQxKxZs9Bcjd71fPfuXYSGhtYp+/Xhhx8iISFB\neExGbe35rufly5fD2toac+fO1XRX1BIaGooJEyZg6tSpbXK89957D25ubpg5c2abHI+Imq49/Awm\nqvF/x++gtEoGuRx4qZ8tjA2kje+kAt713DTNusK/Y8cOHD16FLt3727WQbXVw4cPsX//fiHZiYuL\nw7hx49C9e3f06NEDM2fOrLecXGvYvHkzevbsCWdnZyxatAjl5eUq7/v48/Ja28KFC7Fhw4YGHypO\nRNpP2+etUcthrEkVTU4Ujx07ho8++giHDx+GsbFxa/RJY/bu3Yvg4GAYGRkBAPLz8zFjxgxcunQJ\nly5dQocOHbBw4cI26cupU6fw6aef4tChQ7h8+TLu3r2L1atXt8mxm8PGxgY9evTAr7/+qumuEBER\nUQtpMFGcNGkSAgICkJiYCEdHR3zzzTd49dVXUVhYiODgYPTr1w/z589vq762ulOnTiEwMFBYDgoK\nwgsvvABzc3OYmJhg1qxZ+PPPP+vdv2/fvvjjjz+E5TVr1giXsFNSUmBlZYXvvvsOvXv3Rq9evbBp\n06Z629q3bx+mTp0KT09PdOzYEUuWLMHevXvr3f7333/HwIED4eLigsjISMjlcqEcm1wux7p169C3\nb194enpi/vz5yM/PBwDMnz8fmzdvBgCkp6fDysoKX3/9NQAgOTlZmFcaFRWFPn36YPPmzfD09ESv\nXr2wZ88ehT4EBgbixIkT9faRiLQfn60nHow1qaLBRHHv3r1IT09HeXk5UlNT8fLLL+Ovv/7CvXv3\ncOHCBVy4cEFIMnTB9evXhXJ4ykRHR8PLy6ve9apc7o2KisL58+dx8OBBfPLJJ0JiGRsbC1dXV2G7\nxMRE9O7dW1ju3bs3srKykJeXV6fN7OxszJgxA++++y7u3LkDFxcXnDt3TujL7t27sW/fPvz73/9G\nQkICioqKEBkZCaA6uau5/BAdHQ0XFxdER0cDqJ4IW7scW1ZWFgoKCnD9+nV8+umniIiIEBJOAPDw\n8MDVq1cb/PxERETUfvApRLU8evQI5ubmStddu3YN69atw/Lly9U6RkREBExMTNCzZ09MnjxZuBlo\n0KBBSE5OFrYrKiqChYWFsNyhQwcAQGFhYZ02T5w4AS8vL4SGhkIqlWLevHmwtrYW1h84cEC4C93M\nzAzvvfcefvzxR8hkMgQEBCA2NhZyuRwxMTFYtGgRzp07B6A6caydKBoYGGDJkiWQSqUYPnw4zMzM\n8Ndffwnrzc3N8ejRI7XODxFpFuetiQdjTapgoliLpaWl0kQsKSkJ4eHhWL16NQYOHKjWMezt7YXX\nDg4OyMzMVLqdmZkZCgoKhOWakTtliWxmZibs7OzqPc6DBw/g6OiocNzKykpkZWXB1dUVpqamuHLl\nCmJiYjBixAh069YNt2/fRnR0tMKl+E6dOgnP0AQAExMTFBUVCcuFhYWs0kNERKRDmCjW0rt3b9y+\nfVvhvdTUVIwbNw5LlixBWFhYg/ubmpqiuLhYWFZ2h3TtB5Tfv3+/3kdVeHl5KVzGvXr1KqytI2VQ\nVQAAIABJREFUrWFpaVlnW1tbW6SlpQnLcrlcYdnW1lZ4llLNcfX19YVRx8DAQBw+fBiVlZXo1q0b\nAgICsHfvXuTl5cHb27vBz1zbrVu3mrQ9EWkfzlsTD8aaVMFEsZbhw4fj7NmzwnJ6ejpGjx6Nf/zj\nH5g+fXqj+3t7e+PHH39EZWUlLly4gH//+9915iyuX78eJSUluHnzJvbu3YuxY8cqbSs8PBy7du1C\nYmIi8vLysG7dOkyePFnptiNGjEBiYiKOHDmCyspKbN26FVlZWcL6cePGYcuWLUhJSUFhYSFWrFiB\ncePGCaODgYGB2LZtG/z9qx9IOnjwYGG5KY/YiY6ObvZzmoiIiNra34UVuJReIHzdyCpCFQtKK1Cr\nMou6Tlw8gF/idqGsvKTVjmFkaILn/V5CsM/4RredOHEihgwZgtLSUhgbG2Pnzp24d+8e1qxZgzVr\n1gCovmHl3r17SvdftmwZ/vGPf8DNzQ0BAQEICwtDbm6uwjaBgYHo378/ZDIZXn31VTz99NMAgJiY\nGISHhwsjf0FBQXj11VcxevRolJSUYPTo0Xj77beVHrdz58745ptvsHTpUixcuBDh4eEYNGiQsP6l\nl15CZmYmnn/+eZSVlSEoKEj4PADg7++PwsJCYT7iwIEDUVJSojA/seaz1yczMxOJiYl4/vnn692G\niLRf7aospNsYa+BKZgGuZBYovOdkaYJ5/g4a6pH2abQyS3OoWpnl9a/GtGqSWMPI0AQb/3FIpW1X\nrFiBLl26tHhllpSUFPTr1w9///23wjw/XcHKLETaT5XKLEwexEObYi2Ty1FeKVN4b+Xvd1HWCpVZ\nLtwvQHx6PpQOfUiqL7X+K7g7DPV153e1OpVZNDqi2BZJYlOP8+6777ZiT3TXBx98oOkuEFEL0JbE\ngVqftsQ6s6AM357PQF5p21T26mVriqKKKuSUKB4vq6C8OnmUALz4/D8aTRRr27LgtxZvc96mkBZv\nUx1tWVKPiIioPTh/Px+5pRWo7/qmngTQb8Hfn0b6Ugx2rXtj6Pa4NHB6Yl26M66q5ZycnPDw4UOd\nvOxMRLqDz9YTD22JdXnV/68iBkCC6sSw5ktfTwJvG3Po69Bl4PZGa0YUiYiISNz62JpjgBOfx6tN\nmKITEZFAW+atUetjrEkVTBRVtGbNmha/E7q2CRMm4Pvvv1e7nT179mDkyJEt0KPGWVlZ4e7duy2+\nbVsKDQ3Fzp07Nd2NBvvRkt97ixcvxrp161qkrRqt8X/DyclJ4SHxLaWxvgYEBAi1zjVtwYIFWLly\npaa7QUQipzWXnjV944mjo6Nws0lRURGMjY0hlVbfir9hwwa12t6zZw927dqFo0eP1rvN/v37m9yu\nrj9ypy1IJBKtuMmorfqxfv36Vj9GU4WGhmLChAmYOnWq8F5rJImq0JYkEdDc96Y2PTKFWhdjTarQ\naHZhZGiiNcdJTU1FSkoKUlJS4OjoiL179wrL48c3/rBuTWqFR2EStTq5XA6ZTKYVibq24v9tItI0\njSaKz/u91OrJYk1llpZQXl6O+fPnw9nZGQEBAbh48aKwbuPGjXjyySfh7OwMf39//PLLLwCAxMRE\nvPXWW4iLi4OTkxPc3NyUtl370mNSUhJGjRoFFxcXeHh4YNasWUr3qamC4urqCmdnZ8TFxQm/dP/5\nz3/Czc0N/fr1w6lTp4R98vPzsWjRIvTq1Qt9+vTBypUrIZPJlLYfHx+PESNGwNXVFb169UJkZCQq\nKpQ/52rBggV488038eKLL8LZ2RmhoaEKda0B4D//+Q/8/Pzg6uqKiIgI4f3k5GSMHj0a7u7u8PDw\nwJw5c5Cfn6/0OED1ZexvvvkG/fv3h7OzM1atWoXk5GSMGDECLi4umDVrltDPR48eYeLEiejRowfc\n3NwwadIkpKen19v2rl274O/vDzc3N4wfP77OZ6ht5syZ6NmzJ1xcXDBq1CjcvHlT4XwsWbIEEydO\nhLOzM0aMGKFw6f3333/HwIED4eLigsjISMjl8gaTgoa+9zIyMjB9+nT06NED/fr1w5dffllvO7Uv\nZ2ZnZ2PixIlwdXVF9+7d8fzzz9fbh6VLl8Lb2xvOzs4YNmwYYmNj6z1GXFwcQkJC4OrqiiFDhiiU\nxQwNDcWHH36I5557Dg4ODpg3bx5iYmIQGRkJJycnofpQ7akKjZ3L06dPY8CAAXBxccGSJUswatSo\nBqcTNHQu+/bti//+978Aqr//hw0bBmdnZ3h5edX7jNWoqCj06dMHH3/8MTw8PODj44MDBw4I648f\nP46hQ4fC2dkZ3t7eClWRACA2NlY4X97e3ti3b1+dYxQUFOCFF17AsmXL6v1cLYUjTOLBWJMqNHrp\nOdhnvEql9bTFsWPHsHPnTmzatAkrVqxAREQEjh8/DqA6WTt69ChsbGxw6NAhzJ07F/Hx8fD09MT6\n9euxc+fOBi89177MtHLlSgQFBeHIkSMoLy9X+EVW29GjR+Hj44O7d+8Kl57/+usvxMfHY9KkSbhz\n5w527NiBRYsW4dq1awCqf+laW1sjPj4eRUVFmDRpEuzt7ZXWstbX18eqVavQr18/pKWlYcKECfj6\n66/rneN18OBBfP/99/D19cX777+P2bNnK3zm48eP49SpUygoKMAzzzyDkJAQ4Unxb775JgICApCf\nn4/p06djzZo1+PDDD+s9X7///jv+85//4P79+3j66acRGxuLbdu2wdLSEiEhITh48CAmTpwImUyG\nl156CTt27EBlZSVeffVVREZGKk0kjh49io0bN2Lv3r3o3r07Pv74Y7zyyis4duyY0j4EBwfj888/\nh6GhId5//33MmTMHf/zxh7D+p59+wg8//IAnnngC8+fPx4oVK7Bt2zZkZ2djxowZ+PzzzzFy5Eh8\n+eWX2L59O8LDw+v9vPV978lkMkyePBnPP/88vv76a6SlpWHs2LFwd3fHsGHD6rRT+/ts06ZNsLe3\nx+3btwEA58+fr3d0z9fXF5GRkbCwsMAXX3yBmTNn4tKlSzA0NFTYLj09HZMmTcLWrVsRFBSE//zn\nP5g+fTr+/PNPdO7cGUD1NIv9+/fDw8MDMpkMGRkZmDBhAl56qf4/6Bo6lzNnzsTmzZvx3HPP4auv\nvsJ3332HiRMnNvlc1pyfGkuXLsW8efMQFhaG4uJiXL9+vd42s7KykJOTg+vXryMuLg7h4eHw8fGB\nu7s7zMzMsHXrVnh5eeH69esYN24cvL29MXLkSKSmpiI8PBwbN27ECy+8gPz8fKSlpSnEKycnBxMm\nTEBQUBCWLl1abx+IiFoDJ7Y1gb+/P4KCgiCRSBAWFiYkXwAwevRo2NjYAADGjBkDNzc3xMfHA2j6\n5SNDQ0OkpKQgPT0dhoaGGDBggNLt6mvX0dERU6dOhUQiQXh4ODIzM/H3338jKysLJ0+exIcffggT\nExOhVOGPP/6otJ2+ffviySefhJ6eHhwdHTFt2rQG53CNGDECgwYNgqGhId555x3ExcUpjN69/vrr\nsLCwgL29PQYPHoyrV68CqE6yhw4dCgMDA1hZWWHevHkKo1DKLFq0CObm5vDy8kKvXr0wfPhwODk5\nwcLCAsOHD8eVK1cAAJ06dcKoUaNgbGwMc3NzvPnmm/W2vX37drz++uvw8PCAnp4e3njjDVy9elXh\nF3dtkydPhpmZGQwMDBAREYGrV6+ioKC6ZqhEIsGoUaPQr18/SKVShIWFCZ/3xIkT8PLyQmhoKKRS\nKebNmwdra+sGP29933sJCQnIzs7GW2+9BX19fTg7O2Pq1Kn46aefGmwPqP4+e/DgAVJSUiCVSjFw\n4MB6tw0LC4OlpSX09PQwf/58lJWVCQlmbT/88AOCg4OFPwCefvpp+Pj4KCRikydPhqenJ/T09KCv\nX/23akP/Rxo7lz179sTzzz8PPT09zJkzp9nnUtn5SUpKQnZ2NkxNTdG/f/8G2122bBkMDAwQEBCA\n4OBgHDpUXTY0MDAQXl5eAIBevXph3LhxwvfggQMH8PTTT2Ps2LGQSqXo1KkT+vTpI7SZkZGB0NBQ\njB07ts2SRG15th61PsaaVKE1N7O0B127dhVem5qaorS0FDKZDHp6eti3bx+2bNkiTMIvKipCTk5O\ns47z/vvvY+XKlQgODkbHjh2xYMECTJkyReX9a/+iNDU1FfqTnZ2NiooK9OzZU1gvk8ng4KC8+Pnt\n27fx7rvv4tKlSyguLkZVVRV8fHyUbiuRSGBnZycsm5mZoVOnTsjMzBTef7xfRUVFAKpHY5YuXYpz\n586hoKAAcrkclpZ1n5pfW+1YGBsbKyybmJjgwYMHAIDi4mK88847OH36NPLy8oRzIZfL64ye3b9/\nH8uWLcN7772n8H56ejrs7e0V3pPJZPjggw/w888/KzxIPScnBx06dKjzeY2NjVFYWAgACuekxuPt\nN/R5a3/v3b9/H5mZmXB1dVXom7+/f71t1SRlCxcuxJo1a/Diiy8CAKZPn47XXntN6T6ff/45du/e\njYyMDEgkEhQUFCA7O7vOdqmpqTh8+LDCKGxVVRWGDBkiLD/+2YHGqxY15Vwqa7+2hv4f1/bpp59i\n1apVGDRoEJydnREREYERI0YobdPS0hImJv+bRuPo6IjMzEwA1SO1y5cvx82bN1FeXo7y8nKMGTMG\nAJCWlgZnZ2elbcrlchw/fhzm5uZKR/yJiNoCE8UWkJqaijfeeAOHDx+Gn58fJBIJhg4dKvxCbupk\nfWtra2zcuBEAcO7cOYwdOxaBgYFwcXFR2K6p7drb28PIyAh37txR6S7pt956C3379sXXX38NMzMz\nbNmyBf/+97+VbiuXyxVG3goLC5GbmwtbW9t626/p/4oVKyCVSnH27Fl07NgRv/zyCyIjI5v02eqz\nadMm3LlzBydPnkTXrl1x5coVPP3000oTRXt7e7z11ltC4tSQH374AceOHcOhQ4fg6OiIR48ewc3N\nTaXRY1tbW4VL8o+fu6awt7cX5qc2lbm5OT744AN88MEHuHnzJkaPHo1+/fopJHUAEBMTg88++wyH\nDx8WRsbq+6wODg6YMGGC8P2rzOPnXZ2bWWxtbRWSUrlc3uAc1KZwc3PDV199BQD4+eefMWPGDNy5\nc0chIayRl5eH4uJi4Q+z1NRU9O7dGwAwe/ZszJ49GwcOHBBG22v+iHRwcEBCQoLS40skEkybNg15\neXkIDw/HDz/8ILTfmjhvTTwYa1IFLz23gKKiIkgkEnTu3BkymQy7d+/GjRs3hPXW1tZIT0+v90aQ\nxx06dEhIHDp27AiJRKI0sbOysoKenh6Sk5NVatfW1hbPPPMM3n33XRQUFEAmkyE5Obney8lFRUUw\nNzeHqakpbt26he3btzfY/okTJ3Du3DmUl5dj1apV8PPzq3d0p3aSUVhYCFNTU3To0AHp6en47LPP\nVPo89bVX+3XNo44sLCyQm5uLtWvX1tvGzJkzsWHDBuGmlPz8fOHy4eOKiopgaGgIS0tLFBUV4YMP\nPqi3P48LDg5GYmIijhw5gsrKSmzduhVZWVkqfc7H+fr6wtzcHJ9++ilKSkpQVVWFGzdu4MKFC0q3\nr92v3377DUlJSZDL5ejQoQOkUqnwSKjaCgsLoa+vj86dO6O8vBxr164VLrE/LiwsDL/99htOnz6N\nqqoqlJaWIioqSiF5e/zcdO3atcFnbDZ2Lm/cuIGjR4+isrIS27Zta/a5fNz+/fvx8OFDAICFhUW9\n/w9rrF69GhUVFYiJicGJEycwevRoANXfK5aWljA0NER8fLzCjS7jx4/HH3/8gUOHDqGyshI5OTnC\nZfWaz7127Vq4u7tj8uTJKC0tbZHPRkSkKiaKTVDfSIiXlxcWLFiAkJAQeHl54caNGxg0aJCw3ZAh\nQ+Dl5QUvLy/06NGj0eNcvHgRISEhcHJywpQpU7B69Wo4OTnV2c7U1BSLFy/Gc889Bzc3N+FmhIZG\nbDZv3ozy8nLhzt6ZM2fW+4t1+fLlOHjwIJydnfHGG29g3LhxCm09/nr8+PHCL7XLly9j69atjZ47\nAIiIiMDly5fh4uKCyZMn44UXXmhwlEnZusf7UrM8d+5clJaWwsPDA88++yyGDx9eb9vPP/88Xnvt\nNbzyyitwdnZGYGAgTp8+rXTb8PBwODo6ok+fPggMDBRGkpX14fE+1ty1vXz5cri7uyM5OVnh+0WV\nz1yzLJVKsXfvXly5cgW+vr7w8PDA66+/Xm8iV7tfSUlJGDduHJycnBASEoJZs2YhMDCwzj5BQUEI\nCgqCn58ffHx8YGJiUme6Qk2b9vb22LVrFz7++GP06NEDTzzxBDZt2qSQ7D3+WebMmYOff/4Zbm5u\nSu/qVeVcvv/++3B3d8etW7fg4+MDIyMjpZ9f2fHr+344ffo0AgMD4eTkhHfeeQfbtm2rt11ra2tY\nWlqiV69emDt3LjZs2AB3d3cAwEcffYRVq1bB2dkZ69atw9ixY4X9HBwc8P3332Pz5s3o3r07hg4d\nKsyZrP25N27cCDs7O7z00ksoKyvDhg0bMGHCBKGdx0dxnZyccO7cuXrPQUM4b008GGtShUTeCg/q\nOnXqFHx9feu8n5GRgW7durX04UgLLFy4EHZ2dm3y+A6i+shkMnh7e+PLL79UmvS2hqioKMydO1cY\nCdRmqvwM5kOYxUNbYv3j1Sz8mfoIMjnwhAZrPW+PS4NMDuhJgPeDu8NIX3fG0hISEoSbDJtKd84C\naRQfDEyacvr0aTx69EgYaQPQ6B3KVD9tSByobTDWpArezEItQltK4ZH4xMXFYfbs2aioqICnpyd2\n7tzZ4KXn1sDvfSLSVUwUqUV8/vnnmu4CiVRkZGSL3SXfHIMHDxae26kLtOVyJLU+xppU0aaXnnl5\nkohIc/gzmIiaqk0TRSMjI2RnZ/OHFRFRG5LL5cjOzlbpkjxHmMSDsSZVtOmlZysrKxQWFiIjIwMA\n5/UQEbW2mj/MLSwsYG5uruHeEFF70+ZzFM3NzfnDSodwjot4MNbiwDiLB2NNquDjcYiIiIhIKSaK\npBb+NSoejLU4MM7iwViTKpgoEhEREZFSTBRJLawVKh6MtTgwzuLBWJMqmCgSERERkVJMFEktnOMi\nHoy1ODDO4sFYkypYwo+IiIi0Vsmpsyg9egrysrIGt5N27QKz2ZOh382mjXomDhxRJLVwjot4MNbi\nwDiLR3uJddnJ/0JWUgJ5lazBr8oHWSg786emu6tzOKJIREREWkteXgHIAchkDW8o1YO8tLRN+iQm\nTBRJLZzjIh6MtTgwzuLRHmNtMiMMemaK1d0qzsWj/PxlDfVI9zFRJCIiovZBKoVEqjhrTq7HWXSt\niWeX1NJe5riQ+hhrcWCcxYOxJlUwUSQiIiIipZgoklra4xwXah7GWhwYZ/FgrEkVTBSJiIiISCkm\niqQWznERD8ZaHBhn8WCsSRVMFImIiIhIKSaKpBbOcREPxlocGGfxYKxJFQ0mii+//DJsbGzg7e0t\nvJeTk4Pg4GD06NEDI0aMQF5eXqt3koiIiIjaXoOJ4syZM3Hs2DGF91avXo3g4GDcunULQUFBWL16\ndat2kLQb57iIB2MtDoyzeDDWpIoGE8WnnnoKnTp1Unjv559/xvTp0wEA06dPx6FDh1qvd0RERESk\nMU0u4ffgwQPY2NgAAGxsbPDgwQOl2y1YsABOTk4AAAsLC3h7ewvzIWr+iuFy+18ePHiwVvVHzMvO\nnraoqKpA/J8J6NrRDk8PfUar+sfl9rFc85629IfL1cv+gwLw94MC/BkXCz2JBKNGj1Bp/5P7f0RV\nSSkG+fjCzM0RsZcuCOtb6+e3TC6Hbc8nAQAX/4yBnYVRg9snJucBXTwBAH9d+hP6GebwHegPAEg4\nF4OCh+noY1o9aHXxxhXoGRujXx8fAMCFqxdRkXIHvVDt0r3bMDkXo7A/AJWX02/EV4+gBXdvsfOh\niWUAOHv2LFJSUgAAs2bNQnNJ5HK5vKEN7t69i9DQUFy5cgUA0KlTJ+Tm5grrO3fujJycHIV9Tp06\nBV9f32Z3ioia7vWvxiIzt/qHwsev/IhunZ013CMiaikFj0qxdc1/AADmFkaY+/YzKu0XF7YI2WfO\nAwD67/8EXYb4tVYXBQVllXhxZ3XOYG4oxY/Tnmhw+x+vZuHP1EeQyYEnbM0xwKmjwvrcxcshKy4B\nZDKYzJoIqZmZwvqy2HhU/HkRkOrBaJAvzKeFNavf2+PSIJMDehLg/eDuMNLXnft9ExISEBQU1Kx9\n9Zu6g42NDTIzM2Fra4uMjAxYW1s368CkG2qPPJBuY6zFgXEWjzaJtVyOjEMnUVlQWO8mZllF6KZn\nhnR3r9btCzVLkxPFF154Ad9++y0iIyPx7bffYsyYMa3RLyJqIscubjAxNAUA6EsNNdwbImpJUqkE\nNnYWAAATM9X/f5u6OaLiUQEAQN/ctFX69jg9iQQeViYAAHnGA9z/9ZcGtzerkqGvTA5pWRlgP6Qt\nukhN0GCiOGnSJPzxxx94+PAhHB0dsXz5crz99tuYMGECvv76a7i4uGD//v1t1VfSQhx50B6Lx65v\n1fYZa3FgnLWTqbkRpi4MaPJ+vdcsqXdda8XazFCKTWOrRwcvzt2NCrkM8qoGZrnJqgDooVPWAzQ4\nF440osFEce/evUrfP3nyZKt0hoiIiHSThbcH9IwVR0PLMh+i/F66hnpEqtCdmZqkEbXvsCLdxliL\nA+MsHm0da6un/GDz7FCFLzN3lzbtAzUdE0UiIiIiUqrJN7MQ1cb5TOLBWIsD4ywe2hbrLg/SIdm5\nG/mmj6Um5eWa6RABYKJIpDNS/76NiqoKAIBDFzcY6htpuEdE1FKqKmX4+0H13ctSPT107dZBpf2K\n7qSgsrAYAGDm5gj9DmaN7KG+Kpkcd3JKAADpJh3RNTe//o31JMJLo5IiSFOKUSGV1N2u5pHPciXr\nqFXx0jOphfOZtMf6Q0uw7LuXsOy7l5Cdn9ni7TPW4sA4a6fionLs2hSDXZticPDb8yrvd/3tdYgJ\neRkxIS8j78J1hXWtFeviiiosPJSIhYcSsdXzqQa3Ne/hCkAPkioZJFWy6jugq2R1v+Ry6HXpDGkb\nPeKH/ocjikRERKQRRl064eG40ci8eRdyOWDbwQjOnYzrbqhvAH0Xx0bbq7x9FwXb9ihdJzEwgNHg\nATDozqpVTcFEkdSibXNcqPUw1uLAOIuHtsRabmqKh/ZOkMsBSytTGNiaN7utqoc5qHqYU+/6ypu3\n0fHDSEj0eEFVVTxTRERE1G5JneyrXyi7ZF37SyaHLL8A8jLeHNMUHFEktbAurHgw1uLAOIuHrsRa\n384WxhNeQNX9+h/cXRkbL9wP097c/eshLselorysstltuPWVNntfJopEOoK1nol0V3ut9Vx19+82\nOaa+bVfo23atd33luQuAXNYmfWlpiVczUVZaqbFEl4kiqUUX/hrVFaz1TC2BcdZO7brWc6scRTyq\nKqoTXLmGMkUmikRERETtQL9BTujQUcld4Q24dS0TQHGzj8mbWUgtfOaaeDDW4sA4iwdj3f5I9ACJ\nnqRpXxL1HlLORJGIiIiIlGKiSGrhfCbxYKzFgXEWD8aaVME5ikQ6grWeiXSXztZ6Jq3HEUVSC+e4\naA/WeqaWwDhrJ12t9Uzaj4kiERERESnFRJHUwjku4sFYiwPjLB6MNamCiSIRERERKcVEkdTC+Uzi\nwViLA+MsHow1qYJ3PRPpCNZ6JtJdrPVMmsJEkdTCOS7ag7WeqSUwztqJtZ5JU3jpmYiIiIiUYqJI\nauEcF/FgrMWBcRYPxppUwUSRiIiIiJRiokhq4Xwm8WCsxYFxFg/GmlTBm1mIdARrPRPpLtZ6Jk3h\niCKphXNctAdrPVNLYJy1E2s9k6YwUSQiIiIipZgoklo4x0U8GGtxYJzFg7EmVTBRJCIiIiKlmCiS\nWjifSTwYa3FgnMWDsSZV8K5nIh3BWs9Euou1nklTmCiSWjjHRXuw1jO1BMZZO2lrrefie2nIv3Sz\nzvvvSav/Tb98GlVqH4U0iYkiERERNVnJ/Uxce3sdINd0T6g1cY4iqYVzXMSDsRYHxlk81I11/pVb\ngByQV1VBXtnAV5UcekaG0O/QNpe+qWVxRJGIiIjUot/BDMYONkrX6elL0bFvT+gZcu50e8REkdTC\n+UziwViLA+MsHi0Za+NuXWE//tkWa4+0BxNFIh3BWs9Euqtd1XqWy3G3uHriop4EcDXlLLf2jNEj\ntXA+k/ZgrWdqCYyzdmpPtZ5LqoC3r5fh7etl+NfNslY5BrUdJopEREREpBQTRVIL5zOJB2MtDoyz\neDDWpAomikRERESkFG9mIbVERUXxr1KRYKzFgXEWD8a6bVRVyZCV/ghVVc17MrmsStbCPWoaJopE\nOoK1nol0V/uq9Qy4mUoAAMZSSZscU1vJ5XKcPHwN+Y9KNd2VZmOiSGrhX6Pag7WeqSUwztpJW2s9\nK2MqlWBNb+NWabu9KcwvQ/6jUshlgFq1DuWAnkQCI2ODluqaypqdKK5atQq7du2Cnp4evL29sX37\ndhgZ8bltRERERED1iGINiUQCc4vm5UkSPQlsunWEoVHbj+8164h3797FV199hRs3bsDIyAjh4eHY\nt28fpk+f3tL9Iy3HOS7iwViLA+MsHox129I3kKKfv7Omu9FkzUoULSwsYGBggOLiYkilUhQXF8Pe\n3r6l+0ZEREREGtSsRLFz585YvHgxnJycYGJigpCQEAwfPlxhmwULFsDJyQlAdWLp7e0t/OVS8zR4\nLrf/5cGDB2tVf7jMZS6rt1zznrb0h8va/fP7Uk4mIJMhAC4AgNiLCQCAQT6+Ki/fTC8ALF0BALdu\nXUHFQxP06+MDALhw9SIAqL3cA9Uu52TCPO4c+g8ZCgBIOBcDAPAd6A8ASL8RX/3cwODuLXK+Y2Oj\nkXg7GT3c+gIA/oyLBQAM8BvUqssAEBcXi7T0+8jPLcGyf76J5pLIa19AV9GdO3cQGho7phR9AAAg\nAElEQVSKM2fOoGPHjggLC8P48eMxZcoUAMCpU6fg6+vb7E4RUdOx1jOR7tLGWs8Pfv0vUr79CfKq\nKph7uMA+fGR1X5tY6/n0nRxce1AIuRxwtzJFH1vzFutjjaJNOyCXySCR6sFy3T+hZ1L3ZpvtcWmQ\nyav7/H5wdxjpq/+o6fy8Evz201XIZYCBoRT+w7qr3WZT3bqaCfOuRQgKCmrW/s06C+fPn0dAQACs\nrKygr6+PcePGITo6ulkdoPat5q8n0jzWeqaWwDhrJ9Z6Jk1pVqLo5eWF2NhYlJSUVD8j6ORJ9OrV\nq6X7RkREREQa1KxEsW/fvpg2bRr69++PJ554AgAwe/bsFu0YtQ+15zWRbmOsxYFxFg/GmlSh39wd\nIyIiEBER0ZJ9ISIiIiItov5MTRI1zmcSD8ZaHBhn8WCsSRXNHlEkIu3CWs9Euou1nklTmCiSWjjH\nRXuw1jO1BMZZO7HWM2kKLz0TERERkVJMFEktnOMiHoy1ODDO4sFYkyqYKBIRERGRUkwUSS2czyQe\njLU4MM7iwViTKngzC5GOYK1nIt2ljbWe69PUWs+k3Rg9UgvnuGgP1nqmlsA4ayfWeiZNYaJIRERE\nREoxUSS1cI6LeDDW4sA4iwdjTapgokhERERESjFRJLVwPpN4MNbiwDiLB2NNquBdz0Q6grWeiXQX\naz2TpjBRJLVwjov2YK1nagmMs3ZirWfSFF56JiIiIiKlmCiSWjjHRTwYa3FgnMWDsSZVMFEkIiIi\nIqU4R5HUwvlM4sFYiwPjLB6Mdf3O3suDgeR/N+JYdzBEjy6mkEjEd3MOE0UiHcFaz0S6i7We29aJ\nW9l13nveqysGu1pqoDea1f6iR1qFc1y0B2s9U0tgnLUTaz23PnNDfcgBVMnrfskBJOWUaLqLGsER\nRSIiIhK9Yd074VpWEcorZcJ7BeVVyC6u0GCvNI+JIqmFc1zEg7EWB8ZZPBhrRVbmhhhirvgw82sZ\nBYgReaLIS89EREREpBQTRVIL5zOJB2MtDoyzeDDWpApeeibSEaz1TKS7WOuZNIWJIqmFc1y0B2s9\nU0tgnLUTaz2TpvDSMxEREREpxUSR1MI5LuLBWIsD4ywejDWpgokiERERESnFRJHUwvlM4sFYiwPj\nLB6MNamCN7MQ6QjWeibSXaz1TJrC6JFaOMdFe7DWM7UExlk7sdYzaQoTRSIiIiJSiokiqYVzXMSD\nsRYHxlk8GGtSBRNFIiIiIlKKiSKphfOZxIOxFgfGWTwYa1IF73om0hGs9Uyku1jrmTSFiSKphXNc\ntAdrPVNLYJy1E2s9k6bw0jMRERERKcVEkdTCOS7iwViLA+MsHow1qYKJIhEREREpxUSR1ML5TOLB\nWIsD4ywejDWpgjezEOkI1nom0l26Uuu5QiZDSm4pKmVy4b380spW7xM1HxNFUktUVBT/KtUS6w8t\nQWZuCgDg41d+RLfOzi3aPmMtDoyzdqqp9QwA5hZGmPv2Myrtd/3tdcg+U10buv/+T9BliJ+wrrVi\nXVPrGQDMpMAOXxMAgFwux96LD5BfWtHix6TWw0SRiIiIWl1eaSXySytQazCxDnNDadt1iFTCRJHU\nwpEH8WCsxYFxFo+2jrW8VoKoJwE6mRgorO9kog9HS06Z0TbNThTz8vLwyiuv4Nq1a5BIJPjmm28w\naNCgluwbERER6SBDPSmecu2k6W6QCpp91/Nrr72GkSNH4saNG7h8+TJ69uzZkv2idoLP4RIPxloc\nGGfxYKxJFc0aUXz06BHOnDmDb7/9troRfX107NhRYZsFCxbAyckJAGBhYQFvb29hmLvmm5PLXOZy\nyy3X1HpOv52N+LiLGBXi3KLt19CWz8vl1lm+cuWKVvWHy9XLvj5+sLGzwF/JV1BWoA/gGZX2TzSW\nocjVCt4dukDf3LTF+3cpJxOQyRAAFwBA7MUElMrkcDPtDQDIu3MJsXoGGOTjCwBITboOGQAPd28A\nwIWrFwEA/fr4tOpyD1S7nJMJ87hz6D9kKAAg4Vz1DUK+A/2VLt+88Ccy/i6Cfa8nm3V+YmOjkXg7\nGT3c+gIA/oyLBQAM8BvUqssAEBcXi7T0+8jPLcGyf76J5pLI5fIGppUqd/HiRcyZMwe9evXCpUuX\n8OSTT+KTTz6BqWl1wfFTp07B19e32Z0iIiIi7fbg1/8i5dufIK+qgrmHC+zDRza4fU5xBfZczIBM\nDhhLpXjWy6qNegoUbdoBuUwGiVQPluv+CT0T1WpRX8soQExqPvQkQC9rc0x7sluTjpufV4LffroK\nuQwwMJTCf1j35nRfLbeuZsK8axGCgoKatX+zLj1XVlYiISEB8+fPR0JCAszMzLB69epmdYCIiIiI\ntFOzLj07ODjAwcEBfn7Vz2MaP348E0WRioriM9fEgrEWB8ZZPBqLdcGNO0j/4Rgq/v8Dux9XVVjU\nWl0jLdKsRNHW1haOjo64desWevTogZMnT6J3794t3TciIiLSkNTdh1H0VwqARmaoyQG5pE26RBrQ\nrEQRAD777DNMmTIF5eXl6N69O7Zv396S/aJ2giMP4sFYiwPjLB6NxboyrxCAHPKqRhJFPQk69HJv\nuY6RVml2oti3b1/ExcW1ZF+ISA2s9UykuzRd69nmuadgYNlR6TrDLpYwsLT4X18bqPVM7U+zE0Ui\ngPOZtAlrPVNLYJy1k6ZrPRs72MLYtqtK29ZX65naJ6b5RERERKQUE0VSC0cexIOxFgfGWTwYa1IF\nE0UiIiIiUoqJIqnl8fJupLsYa3FgnMWDsSZV8GYWIh1RU+sZAPSlhhruDRG1JKlUAhu76juLTcxU\n//9t6uaIikfVd0vrm5u2St8epycB3EyrH6xoLOUDFts7JoqkFs5x0R6Lx65v1fYZa3FgnLWTqbkR\npi4MaPJ+vdcsqXdda8XaVCrBmt6q1VIm7cdLz0RERESkFBNFUgvnuIgHYy0OjLN4MNakCiaKRERE\nRKQUE0VSC+cziQdjLQ6Ms3gw1qQK3sxCpCNY65lId2m61nNTsNazbmH0SC2c46I91h9agmXfvYRl\n372E7PzMFm+fsRYHxlk71dR63rUpBge/Pa/yftffXoeYkJcRE/Iy8i5cV1jXWrGuqfX89vUy/Otm\nWascg9oOE0UiIiIiUoqJIqmFc1zEg7EWB8ZZPBhrUgUTRSIiIiJSiokiqYXzmcSDsRYHxlk8GGtS\nBe96JtIRrPVMpLtY65k0hYkiqYVzXLQHaz1TS2CctRNrPZOm8NIzERERESnFRJHUwjku4sFYiwPj\nLB6MNamCl56JiIiIlJDL5LB5WADzyipIHhbgeEp2k/aXyeSt1LO2w0SR1ML5TOLBWIsD4ywejHXj\nKh8WwaqkHJDLgcoqPKqoamZLckja6X09TBSJdARrPRPpLtZ61gxZeWX1C3n1lzojhF1sVIuZtmGi\nSGqJioriX6VaYv2hJcjMTQEAfPzKj+jW2blF22esxYFx1k41tZ4BwNzCCHPffkal/a6/vQ7ZZ6pr\nQ/ff/wm6DPET1rVWrGtqPQOAmRTY4WvS4sdQhyw7FzIj5Y8Yklp2hMRAeWpUZWwAb59uzTqmoaEU\n5hbt805wJopEREQkGvmrPqt3ncTMFB0WvQx9B7u6K6V66Nyl9UdktU37HQ8mrcCRB/FgrMWBcRYP\nUcXa0ACQyyGvkjX4JSssQllMgqZ7q1WYKBIREZFOMxj0JCQdzAAjA6VfEqle9Q0rAOQVlRrurXbh\npWdSC+cziQdjLQ6Ms3iIKdaG3l4w9Paqd33ZmXOouHC1DXvUfjBRJNIRrPVMpLtY65k0hYkiqUUs\nf422B6z1TC2BcdZO7a3W8xtOEvw3OQ9FJVXYXn3Tdc2VXWpnmCgSERFRizp/Px8PCstQX26op8es\nsb3gzSykFtYKFQ/GWhwYZ/FozViXVMqqX8iVfzlatt2zFYtLqpD3qLLBr3xpBxR0tkNBp254JDdG\nzv085NzPg7y4vM36qa04okhEREStpo+NObqaGQjL/6+9Ow+S4yzTBP5kVmZ1VXX1fUqt1n02klqy\nZcvGl2Sv8cFgPNi72DuMCXzAECYchtgJHIZYAmLWDDCEV2FYgnVgGCMYYA2DbfABli0bWZYl677V\nkrqlPtT33VVdR+a3f2SfUnV3Vmbd+fyIxsquzPo+6ZW63/6uN09xwaOmZpyqszuCrp65dzGLwlpg\n7dhh2qoKaX8rAEDX9WR2LyswUSRbuJ7JORhrZ2CcnUEIgQUn23D098/MuHgw0jeQkLa8bheKvOrc\nNybB8Ihu/PbmmukWgICx8UYSgBgr1SeEmDw2J0XJbaZhokiUI1jrmSh3JbrW88DhU+ja8QEg5hgx\nG0uwJNllvq9CoFeXMQTFyLrSaGoOrCgCshx7F7YeCEAMBQAZkIoKoBT4AQAjIQ2BUBRhlwsFRanZ\nNZ5pmCiSLU46hyvTsdYzJQLjnJkSXes50tuPw73tWF9UMedom2deOdwVJab7GtSAt8J+QAUUoWMr\nMuMA60K/jHxf7IQ30tKG6OmzgEuGumEtfOvWAQDOdwfQ0jECCUCBwhFFIiIichhPTSUqbr8h5muS\n4oKnugKSxPMQnYqJItnCkQfnYKydgXF2jvrSaghNg5znhq92Xrq7QxnKmeOoRERERDQnJopkC89c\ncw7G2hkYZ+c43Nue7i5QFuDUM1GOYK1notyVbbWeSyQNEV2Hi3X7sh4TRbKF65kyB2s9UyIwzpkp\nGbWex9coJprPJeH2vBG0D4XGjqcpSngblDqceiYiIiKimJgoki1cz+QcjLUzMM7OwTWKZAYTRSIi\nIiKKyXKiqGkaNm7ciE996lOJ7A9lGa5ncg7G2hkYZ+eoL61OdxcoC1jezLJt2zbU1dVhaGgokf0h\nIotY65kodyW61nMyZVKtZ7LP0ohiS0sLXnvtNTz66KMQ3PruaFzPlDl++Md/xtMvfg5Pv/g59Awm\nfu0RY+0MjHNmGq/1vP3HH+D3//6R6edOPPVv+OCOh/HBHQ+j/+CJaa8la43ieK3ng2oJjirFSWmD\nUsfSiOJXv/pV/OAHP8Dg4OCM9zz++ONYuHAhAKCwsBDr1q2bmNIY/0LEa17zOnHX43ovBrH3w4/w\n6bsWJeX9M+X3y+vkXB89ejSj+sNr47p+3SYAwIW2E/D2qwC2mnr+cF8HBvUA6mTftNdXwQUAONLX\ngTyPjloY9hw6AAC4bsNVlq+DmgBQBwAYPHcYJ/o01Gy+BgBw8NghAMDGtRtScn3q7BGEwjpWLlkP\nADh66jAAYN3q+mnXq8f+PI73tEK54Ma12AIAOHPsI7T1jaJm5UYAwN59ewAA115zXUZfA8C+fXvQ\n2taCwb4gnv6fX4NVkohzSPBPf/oTXn/9dfz4xz/Gzp078cMf/hCvvvrqtHt27NiBq666ynKniCh+\nTz7/92jvuwgAePbRP2Be6aI094iIEmVoYBQ//d5OAIC/MA//9NRWU8/t+69PoOdvxgjkpt9tQ/nN\nRsLW9fYHaPq/v4PQNPiWLEDtP9yTsL4ORwW+cHAUAKAIHU9UR1FTmJ6lMOeaQgiO6oAASosl5Ptc\nMe+LHDqG6KmzgEuGumEtfHduAQCc7w7gSMcIJABLS7345Jry1HU+Qc4ca4e/YgS33Xabpefjnnre\nvXs3XnnlFSxZsgQPPvgg3n77bTz00EOWGiciIiKizBV3ovjMM8+gubkZjY2N+M1vfoNbb70VL774\nYjL6RlmA65mcg7F2BsbZOXiOIplhedfzOEmSEtEPIrKJtZ6JchdrPVO62EoUb7nlFtxyyy2J6gtl\nIZ65ljlY65kSgXHOTKz1TOnCyixEREREFBMTRbKF65mcg7F2BsbZObhGkcxgokhEREREMTFRJFu4\nnsk5GGtnYJydg7WeyQzbu56JKDOw1jNR7mKtZ0oXjiiSLVzPlDlY65kSgXHOTKz1TOnCRJGIiIiI\nYmKiSLZwPZNzMNbOwDg7B9cokhlMFImIiIgoJiaKZAvXMzkHY+0MjLNz8BxFMoO7nolyBGs9E+Uu\n1nqmdGGiSLZwPVPmYK1nSgTGOTOx1jOlC6eeiYiIiCgmJopkC9czOQdj7QyMs3NwjSKZwUSRiIiI\niGJioki2cD2TczDWzsA4OwfPUSQzuJmFKEew1jNR7mKtZ0oXjiiSLVzPlDlY65kSgXHOTKz1TOnC\nEUUiIiLKSJGIjv4BDbpubWRS0ziiaRcTRbKF65mcg7F2BsbZOZJ1jmIiXWiOIBTR090NR2OiSERE\nRJboQuDl4124NBSa+FwEEqCU2X5vIQRCEd04tNvmwKCAgFvlajsrmCiSLbt27eIIhEMw1s7AODvH\n4d52rC+qsPUejb1BtA6OYuqYX/SyexRJstXGOJ/X+rNejww1QxLF9oEmNHYfgxCpGSntGRrB1RXX\nWn6eiSJRjmCtZ6Lclam1nsPRsWRnyoifBMCvGycweFwSKv2q7XYEBMpK7L9Puo2EBvDa0eehp7AG\nthbVcDWYKFKacOQhc7DWMyUC45yZsqHWc7lPxfWLjV3Ofw8jYZQTNJqYK7qGW6ELAV1osD2fbpJu\nc+SSiSIRERHZJ0lwMTE0ze3yYl7RkqS309bdYut5JopkC9czOQdj7QyMs3MkYo0iWedR81E3L/5R\n4nj19+6w9XxmrOwkIiIioozDEUWyhSMPzsFYOwPjnBuErqPvo2OI9A7EfH3k7IWsOEeR0o+JIlGO\nYK1notwVb63npud/h+53PoQWCEJoxmYG2ZsHWUn+t31NCLSNHasoS0BNHtctZjNOPZMtrAubOVjr\nmRKBcc5M8dZ6Hj51HhA6hs80YmD/MQzsP4Zo/xCEpk18HO5uAwTgLi1KaF9DOvC/m42Pn9jbR0EZ\ngCOKREREuWrKCSzemkp45ldNXrcBJXXrUHrj1WnoWPZpGwzhPw5N/hAuSxKWlXmxaUFhGnuVfEwU\nyRauZ3IOxtoZGOfcVbblOhRfVTdxXZPGvmSNKcf9jEZ1jEann0nYNRzGslIvSnzZfxj4TDj1TERE\nRBTDvII8KJIxMHv5x7ih0OVFC3MLE0WyheuZnIOxdgbG2Tn2HDqQ7i5kPK9bxl2ryvHxhUXTPnwZ\nUjc6FTj1TJQjWOuZKHdZrfXs8nqgFhVAdqtw+TzJ6t40MoAFY4cu5OVAPuVySagsmP5nrnTIAOyV\nxssWTBTJFq5nyhys9UyJwDhnJqu1nvOXL0Lt5++Fb+H8K167bsNViejaFTwuCV9dmJS3TrizwX1o\njhyDvjAE1IwlfsolSEfenfW58NhaRQHgjaNyTte0ZqJIREREjtQSOQ5NjB86Lib+K8Tso4ViyipF\nXeiQEG+iKKDI2ZGC5cCgMKUT1zM5B2PtDIyzc3CNIqAhCiPtu+x/YvYPY9rZ+BBCQECP68Pt8mJx\n2dr0/uZNyo50loiIiCiJVu32Q5JdUFYtg+fjs58tua95CIGwsdv5usXFqC5IzfrPdOCIItnC9UzO\nwVg7A+PsHMlao0i5hSOKRDmCtZ6Jcle8tZ4nnguOInChFXooDM/8Kij53mR202jTYq3nYHQEZ4cP\nIRgdGfuMQK+iA8KYHO4fSc3Ylnb6HEbOnI/9okuBsnYlUJ4lu3USgIki2bJr1y6OQGSIH/7xn9He\ndxEA8Oyjf8C80kUJfX/G2hkY58w0XusZAPyFefinp7aaem7k7AU0/MsxAMCa7/6PaZVZ9hw6kJRR\nxfFazwDglYF/WWbuueMDH6A50DDtc5rL+K+AQCCanJ3F4rILIQEQIvbN0Qiix04Dt9QmpS+ZiIki\nERERpd1wdAAAoE85n3DKPmSIuHcWm+eRCiH73BCBwGWZ42UkGYhqMyeSOYiJItnCkQfnYKydgXF2\njlStUYxEdJjJ8Yzdw0aeVq7Mg0fyoy8wNvUsBAoKkjP17IKCEnU+lJsUQJs5AQy99V5S2s90TBSJ\niIgoKTRd4Mz5kKl7R1QBXTYSxchwOVS9CoUYq60sBKrVFKQsrlkyWgFTCW+u4a5nsoVnrjkHY+0M\njLNzpOQcRWHM0pr5mDblKzAxugiBnK58kuk4okiUI1jrmSh3ZWOt56gmgMhYxieJuKuXSFN+4fMy\nUUwXS4lic3MzHnroIXR2dkKSJHzxi1/EE088kei+URbgeqbMwVrPlAiMc2bKxlrPff0a2joiEADc\nioSqitlTjrZhCaGxanrFRTKKFVdS+kfxsZQoqqqKZ599Fhs2bMDw8DCuvvpq3H777VizZk2i+0dE\nREREaWJpjWJ1dTU2bNgAAPD7/VizZg3a2toS2jHKDlzP5ByMtTMwzs7BWs9khu01ik1NTTh48CA2\nb9487fOPP/44Fi40Ti4vLCzEunXrJqY0xr8Q8ZrXvM6e63GZ0h9eJ+f66NGjGdUfXlu7LoLhSF8H\nLp08ji1jU8/jyeH4tPNM15vrN+L80Dm8s/99AEBdnXFq9okT56Zd7/7oFNoGQ5i/dBEGhAv/uccY\nNFq5eimCozqONJ2DEMDyFUswGJRx9kwjAGD5yiUAMO06rI+gpaETAgKLVhv9P33mNABg1cpVGXF9\npqsDU/fVXGo4ib91erB+43oAQMPxY/C4ZNx6wybIkoTDhw4DAOo31ANAyq4B4MihI+ho70Bn3yXc\n9L8+AaskIayfGjk8PIwtW7bgm9/8Ju69996Jz+/YsQNXXcUakkRERImw4/B/4kzrYZj9lh242AY9\nEgWEgLu8BC63Gld7g9FBU/dpmkBYN/okSxLUKfOUug7oU7orm5jDFAIQ0LHIVY9ipTqeLidd6I2d\ngCxDkiScuPUTCET1Ge9dXOrF5tqiGV9Ppd3Hd+CmVZ/AbbfdZul5yyOKkUgE9913Hz73uc9NSxKJ\nKD1Y65koN3X0t2DvyR1AsBACApAEhHf2RE7zRCFUHZ7uMLSL3dBlCaMVbuie+DaICDFzMgQY51OP\n36NDgiYkCCFhRJSPHXmjI1/qMV43OSwlQYJPyowkayY+VcbIDImiBKB7JJLaDiWRpURRCIFHHnkE\ndXV1ePLJJxPdJ8oirAubOVjrmRKBcc48w6ODQDQPasPNAAChBDG65s1Zn9EhICRg0audKD4XBACc\n/tIiDK70T9zT3NCF2hUVc7Zf6i5DgVIQ87X+0QguDYUhAHhcMioLVISFig+G7gIAKCKMG8Wf4ZIB\nj8fMtggJRXIV3C6viXvTZ1mZF+pAGGFtMlmMagL9oWgae5UclhLF999/H9u3b8f69euxceNGAMB3\nv/td3HnnnQntHBEREU2X5/bilk2fnfWe5n//I8K9A8gfnFxQt65kPVxVtRPXx7obsLZqxazv41cK\nocozT1s39gbQ2TMIXQA+r4Ll/gKM6jIwZLwuwYWSyMegKkCpO3eOu8lTXVhZ6Zv2uYFgFAfbhtLU\no+SxlCjeeOON0PXZh6PJGTjy4ByMtTMwzplPllwoL5h9/V5/yI1w0AVZm/xcgVKIPHfZxPVNG8ti\nPEk0HUv4EREREVFMTBTJFp655hyMtTMwzs5x6NiJdHeBsoDtcxSJKDOw1jNRDpN06N5+uGQFRWXl\nph8TPjdc+T7IigLJm5qTECQIVKkhaBqAqDbn/ZTZmCiSLVzPlDlY65kSgXHOUGoY4RXvoji/HDdc\n899NP6bXVaPo77bAU33l7uYNa+sS2cMJebLAP1a0Y3BIQ3dPFJYPa6aMwKlnIiIiIoqJiSLZwvVM\nzsFYOwPj7Bxco0hmcOqZiIiyVjA8go8admIw0JfSdlUlDxuWfByVxTUpbZco1Zgoki1cz+QcjLUz\nZFuc3z7yRxw5vxsmSyAn1P6GnVi9YCMEpLlvtiEYTs4hzslao0i5hYkiUY5grWdyou6BSxAC0PTU\n7q6VJQmAjJPNB1PToC5BChZCF/kY6A6jqNzkyQYjYUQvdiEciEKpLoXsS/7XBV0AnRE3RjQNA5IL\nRSKU9DYpeZgoki2sC5s5WOuZEiGb47ywcgUKfcVJb+dY0z7oQgAihclpxAPv2a0IA3j/fCfufmSB\nqcdcJ9sx+P7vAQBl3/wH5K1fOvHaoWMnkjKqGBYytnfPAwCoioa/C59LeBuUOkwUiYgoJyysWIFF\nlbPXLk6ENbVX4ULHGYS11I2URYIyzp9KWXNEE5goki3ZOvJA8WOsnYFxnptb8WBFzfqUthkcjuI8\nWhP6nnONJuq6QEdvGMGwPuM9/UENfl2BAKCEXejsjiAkeKBKLmGiSERERFe41BNGc2cYYpadQroA\n8qECACQNGBrWEQYAFofKGUwUyZZsXs9E8WGsnYFxzh0j/lLk+frg6Q0AABpaggh7hideP3vuNJYv\nWzXj8+GIgBBi1soqV+SQM9ysqCY7TRmHiSJRjmCtZ6LcJckSiiuMf9d5XhmDxxswfOocMMOssDYc\nwODCdSgq74cU1QBJQkhWEZ4yjRyJCoRmmVaeSnVJKPTJCGsCuj6ZDY5ENPSNGKct5Ckyyr0qFAGU\niFHjOUlHgR/wejgdna2YKJItHHnIHKz1TInAOGcmj8+FWx80dhKHOntw7tmX53xGd6noueNmSKoK\nyFee9bhkyUpTdZgVF7CoWsXZnlG0DASvvEEyRhZdioJCvwsA8Nlp6yldJlqhTMVEkYiIKIuMtnUC\nkCB0fcap3mlkCbXlbigWv+PnqRIkSULHsLHLe6Yli6qU3IPHKT2YKJItXM/kHIy1MzDO2cXl98K/\ncnHM1zpkN4TLWBzoVgG3On3699jJU1i7ZrXptgQm81K3Ik+rR+N2Sagu4CH/uYiJIhERUZZSCnwo\nvmptzNfkU8OQorqpQcd4rSrPh1vhCKITMFEkWzjy4ByMdfbpGriEUy0HoAtzGxYAAMXAu8detdag\nEOgb7kaJvxxI0TTkUHAgJe3konhGE8m5mCgS5QjWeqapRsNB/OKt7yOqhdPdFUoAXRMY6DFiOTJs\nPglXevoghcIQYRWipgySNzW1nnt0Y4e2BKDcxb+D2YyJItnC9UyZg7WeM9vRpiHZiBwAABFRSURB\nVA+x++SbiERT801zKNgHANB0fdYDky/XfKYTtSsrk9WtpJFkCSX+inR3I2lCQQ3v/KYdAJDnzsMS\nk8+VvvYOvI3N0AHoX/ssXHWLJ16Ld42iWRHI+P1ILQDADQ0PFzYlvA1KHSaKREQp8PaRP2IkOIjZ\njy9OBqO9ZfNmL9c2Tu/xYdm8xbZa7BvpRpGvDHKqdsFKQG35chT6ilPTXpLpoyH0fXQU0cHJw7FD\nUReAhcbrkWiaekZOxESRbOEIk3Mw1vaMRoIQEND1ONYLJoAsy9i4/EasWbDR1P3Xcdla2rW/+jb6\nD5yY9rmI7AGqjERRRLWEtMM1imQGE0UicpzmrrN4bf9/YDg4mLI29bH1owDwiav/GxQ5NV9+PW4f\nvO78lLRFiRFs6wQgILTJ0efpywcEhGb8wOEuyY1RVMpcTBTJFq5bc45civUHp/6KnoH2lE8DCyEg\nyTJK8suhuDKz+O3+vQdw9bVXpbsbNMa7aB6UfC/CugqMzURLioKCuqVwFfhRsHqp5fdO1hpFyi1M\nFIlyBGs9mxeOGHVoUz0NLEnA0qq6jE0SKbP0z1+GznlLISkKdE2CKzw25eyScb50lfHrcyEAoZjP\nRzSBaGkxQqMho7qKJzVfFyQIlMtGn9xSav+NpUrw9XeuOAFK0nQsG40i4C/CSA4l4EwUyZZcGWHK\nBaz1bM01K7diQbn1UZl4KLICt+pJSVtWcTQxM0QUD4arFkLSJUhRI9nyVU5ubjG7n6Xnk7cCAJbX\nuCG7pldmSdZoolsSuN/fkpT3TisZwNg8hOjsvuJlCYBf0+EfHEB3gR9YW53iDiYHE0UicjS3yw1f\nnj/d3SCaRptSmNnuAgm/R4Z6WZI4GyEE2ofCGAxN3zSj66nesZ9ZpJISiN6+mYtdA5CEgJAkqMFA\nCnuWXEwUyZZcWrdGs2OsnYFrFBOnvzeAwb74E4Y+TylCxZObnxQXsKjS2rSxJGPGJHGmNYrtQ2Ec\n6xiO8YSzua9ZD627F4jE3nUeamkDuvtS3KvkY6JIRGkV1SJ458jLaOu7kLI2uwfaU9YWOVNP5zAO\n7rH2d1ovroGYsn5WliS4VfMjgnYNjBqJ0EwDZ6pLhtuR2YMEV3nZzC939wNgokg0DUeYnCNZsT52\nYR8+anhnttmcpJjY8ZyqQ6GzBEcTE6OnyxiRExamawUmp5slAKqSnL+jZtYo+lQZ/jzXxLUECRV+\n91jPyAmYKBLliGyt9TwwYiwK1/TEHCIcD1XNw/wElzokmkoA8HhUePPN73QfOdsNPRSCEICvqgyV\nJXnQdSAYMJIzSQJ8+eYSUL29Fxg1ykZKVSVx13r257lQW+yN6xnWes4tTBTJFq5byxy5UOu5uqQW\ny+evTWob4yRJRnXJAriVzN6FnGpco5h4BUUeLFw2y5TlZVoO7EW4uw9CCJQtKoRblREOASeOGMmX\n6hbYsMlc8hX51V+gnzSmwN2s9UwWMFEkooyR7ynEosqV6e4GERGNYaJItnA0MTf1DndBv2wqePX6\n5egeTPwmkGA4d46RyAUcTXQOVmVJnogu8OaZ6Wctlvnc2FhTAFeWrYtmokhEE4QQePHtf0NbT1O6\nu0JElF2m5H86BPqD009F7w9GUe5Tsbg0vjWf6cZEkWzhGsXkCkWCOHZhH0ZNjLqNhkcmfr3/7N9Q\n4j8Zd3vdg5fQ1tMEXQiIy7YhN5/pRO3KyrjfMx55bq4XTDeuUXQO1npOLMUFRDG2Y11ceVC6BCAQ\nTf2mPbuYKBJlsP+366do7mowda8udHjd+QCA/Wd32tr1LMYSRW+eb+JzbjUPHnfyfhIu9JVg5fz1\nSXt/omwmyYAv3zhbUYmjVLhUWQIpYNQ2j1Xr+Wx3AK2DIUytyGy3AosTaj3HIkGCS5YgyxKq/G5U\nVBsVn5oHRtEXNFlzMQMxUSRbOJqYXJd6L0IXAro+9xfb2rLl066jmr2fXGvKl2DLunsmP/FxW29H\nWYKjiZlJVYGP1UfmvvEy7n+8Y8bXVq1ciXcb+40fDGe4xyXFf9B3ztZ6NkmGBLfbhbyxI5E6hrP7\neCAmikQmdfS34K8HX8JAoDdlbUa00MSvF1Yugyy5Zrk7cTzufKxesCElbRFlqmgkinDY2g9c2gxl\n3gCB9j+9g2DzpZkP407R4fNRbXz2IPbrqktGeRznP1JuYqJItjhpjeLuk3/Bxc4GzPyzd3IIIQBJ\nYPOq/5LWM/+4ds0ZGGdDS1MvzhzvgK4lduo02NKBQFPbzPXxLiMpyfs2feL0KcBTBQBQZAlrKv3T\nXjfK9GXXDl1KPCaKlLUaO07hYueZlLV3qdc4tNbMNHCi1ZQv5cHQRCnUdrEfuqYnpLSk4p6cCdDD\nxvSxseFhljeXBDxV5VBLCu13wCR3kkoFUnZjoki2pGs08ULHGfzm3efS0jYArF+yGfPLlqSkLUVW\nUJRvvqpDsnCUyRlyKc7hUNTyiKAWNZ4TQkBRZEgWz77zeFWUV/ljvuYuLkDZLdfO/HCSz9urW7Ua\nuy70JbUNyn5MFClhguGRlNXrPdt+HIBRHzgRP/HHRRKoLV+BYn/6k7ep2vuaoenGzrrK4hqorit3\nOBJlC6ELBIPWNwGcPHQJfT0jc99owuKVFSiKs96xKZJkOhm0X+tZoKfAj4A8+W0/oiXniydrPecW\nJopky65du3DDDTfgt3/7P2hsP5Hy9oUACn3FqCiqSU2DkkBN2ZKMSxIB4Fc7t6FnyKic8rV7f4Dy\nwnkJfX+uXXOG8ThrUQ2azWNS3G5r32Ii4Sj2vteIYMB+ghH/D5KXHYAnAFc0Ai04mdDJqjLr2kER\njUKPxD4ORYStHZMSjdiv9dz42bswsHjya2Vr0znULF5mqT+ztslazzPqDURwpnvyBxhVllBb7IUi\nZ+60PxPFHNQ1cAkfnd2J0XAw6W395dX30DD6Adp7jUOaUz+8B8wrXYRNK7akvF2nOX2qgYmiA5w+\n1YCighpcPNebkPW49dfWwiXHd8RKe8sAgoGw/S8nY8e+KIq50wL0SAT6SHByw5oQUAf70Hlw1xX3\neuZXIH9p7RWfDzS1ItjSYafXSTX1z7SrvRXzFxmJYp4S/zE4NDOtvQuju/cDAApHwlAi+sTg8SWX\nC73zaxH2GufUNvQE8YkVmTf4MM5yovjGG2/gySefhKZpePTRR/H1r389kf1KCk2P4q8HX0JrGsqT\nLa5chVvr77W8ziUer+79Bdp7U3OGVXPbedT2GIc8jx/SrMRzGqxNxb5irKqpT1l7TjY8NJzuLjiG\nEMLWblsBIDAUtrRDv7uzD00N3WP9sNwFAMYU6eG9zdbfYCzRU1Vrx0K5FAnVNcUoq4y9RvByl15+\nC8GL7Zj7fBoJo21dGG3riv2ymPi/mQlhe0dz22AIZ7sDiMYY+fUoMuqq/Ig1YZ7vdkGVZchaGMUe\nFYoLqPJbP6CfphMQED190HuM9Z9+XcA39R+TJKGgpwdnrv04JAB9gQg0ITK2BrSlv6WapuErX/kK\n3nrrLdTU1OCaa67BPffcgzVr1iS6fwl18uIBHDz3t7Evfqkc+ZLQ2d+MC12nMa90UdJb6+hrgYC5\nQ5rt0oWYti5xcfVq3LBm5gNeibJBMBCe+Yw7EyRZgtdnbY3o8OAoDu9tTsi0qxVtF/tRtxLGDKwQ\nkCTEPSIYTdCRMgJAR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} ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best comments, according to our procedure, are the comments that are *most-likely* to score a high percentage of upvotes. Visually those are the comments with the 95% least plausible value close to 1.\n", "\n", "Why is sorting based on this quantity a good idea? By ordering by the 95% least plausible value, we are being the most conservative with what we think is best. That is, even in the worst case scenario, when we have severely overestimated the upvote ratio, we can be sure the best comments are still on top. Under this ordering, we impose the following very natural properties:\n", "\n", "1. given two comments with the same observed upvote ratio, we will assign the comment with more votes as better (since we are more confident it has a higher ratio).\n", "2. given two comments with the same number of votes, we still assign the comment with more upvotes as *better*.\n", "\n", "### But this is too slow for real-time!\n", "\n", "I agree, computing the posterior of every comment takes a long time, and by the time you have computed it, likely the data has changed. I delay the mathematics to the appendix, but I suggest using the following formula to compute the lower bound very fast.\n", "\n", "$$ \\frac{a}{a + b} - 1.65\\sqrt{ \\frac{ab}{ (a+b)^2(a + b +1 ) } }$$\n", "\n", "where \n", "\\begin{align}\n", "& a = 1 + u \\\\\\\\\n", "& b = 1 + d \\\\\\\\\n", "\\end{align}\n", "\n", "$u$ is the number of upvotes, and $d$ is the number of downvotes. The formula is a shortcut in Bayesian inference, which will be further explained in Chapter 6 when we discuss priors in more detail.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def intervals(u,d):\n", " a = 1. + u\n", " b = 1. + d\n", " mu = a/(a+b)\n", " std_err = 1.65*np.sqrt( (a*b)/( (a+b)**2*(a+b+1.) ) )\n", " return ( mu, std_err )\n", "\n", "\n", "print \"Approximate lower bounds:\"\n", "posterior_mean, std_err = intervals(votes[:,0],votes[:,1])\n", "lb = posterior_mean - std_err\n", "print lb\n", "print\n", "\n", "print \"Top 40 Sorted according to approximate lower bounds:\"\n", "print\n", "order = np.argsort( -lb )\n", "ordered_contents = []\n", "for i in order[:40]:\n", " ordered_contents.append( contents[i] )\n", " print votes[i,0], votes[i,1], contents[i]\n", " print \"-------------\"\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Approximate lower bounds:\n", "[ 0.85943711 0.83951434 0.8458571 0.84536604 0.86388258 0.83651439\n", " 0.89239065 0.7929375 0.85447643 0.70806405 0.79018506 0.82545948\n", " 0.70408053 0.79198214 0.60100251 0.6931046 0.6931046 0.6530083\n", " 0.7137931 0.60091591 0.60091591 0.60091591 0.60091591 0.60091591\n", " 0.52182581 0.60100251 0.53055613 0.53055613 0.53055613 0.56085485\n", " 0.51184301 0.4722123 0.43047887 0.43047887 0.43047887 0.53055613\n", " 0.43047887 0.43047887 0.43047887 0.53055613 0.43047887 0.43047887\n", " 0.43047887 0.43047887 0.43047887 0.43047887 0.43047887 0.43047887\n", " 0.43047887]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Top 40 Sorted according to approximate lower bounds:\n", "\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "22 0 Being as an ocean?\n", "-------------\n", "354 43 Ok, three-wolf-joke-in-my-second-language time:\n", "\n", "Un jours trois loups chassent ensemble dans la for\u00eat: un Qu\u00e9b\u00e9cois, un Franco-Ontarien et un Fran\u00e7ais. Soudainement, **PAF!**, ils tombent dans un pi\u00e8ge \u00e0 loup et ont chacun une patte poigner. \n", "\n", "\"Oh ben *tabarnak*\" dit le Franco-Ontarien. \"L\u00e0 on fait quoi, crisse? Les chasseurs vont nous tuer!\"\n", "\n", "\"J'ai une id\u00e9e!\" exclame le Qu\u00e9b\u00e9cois. \"Si on s'mange une patte on pourrait nous lib\u00e9rer. C'est ben plate, mais on n'a pas le choix.\" Aussit\u00f4t dit, aussit\u00f4t fait, et Qu\u00e9b\u00e9cois et le Franco-Ontarien s'en sortent. Alors qu'ils allaient sortir de la for\u00eat, le Franco-Ontarien dit \"Hey! Y'est o\u00f9 le Fran\u00e7ais d'abord?\"\n", "\n", "\"Osti d'sapp\u00e9,\" r\u00e9pond le Qu\u00e9b\u00e9cois, \"l\u00e0 on va avoir \u00e0 le sauver!\" Les deux retournent sur le lieu de leur capture et voient le Fran\u00e7ais, toujours emprisonn\u00e9, qui leur dit\n", "\n", "\"Bordel, vous avez fait comment les mecs? Je m'suis d\u00e9j\u00e0 bouff\u00e9 trois pattes et je suis encore bloqu\u00e9!\"\n", "-------------\n", "362 46 This was done by photographer Daniel Parent. [[Source](http://500px.com/photo/7505677?from=set/285118)] -- [Check out his collection of wolf photos here](http://500px.com/djlparent99/sets/wolves)\n", "\n", "Here are some of my favorites from the collection:\n", "\n", "- OP's one, called [\"Three Weary Wolves\"](http://i.imgur.com/dW2bsks.jpg) [707 x 900 Version]\n", "\n", "- [\"The Crossing\" (with 12 wolves)](http://i.imgur.com/J5bKJsu.jpg)\n", "\n", "- [\"Above and Beyond\"](http://i.imgur.com/bJHbrNa.jpg)\n", "\n", "- [\"On Patrol\"](http://i.imgur.com/TKyST9h.jpg)\n", "-------------\n", "44 3 Are they also in a Christian hard rock band?\n", "-------------\n", "33 2 Princess Mononoke?\n", "-------------\n", "805 126 / \\ _-' \n", " _/| \\-''- _ / /\\__/\\ \n", " __~' { | \\ / \\ \n", " / \\ | - - | \n", " / \"\u0ca0. |\u0ca0 } \\ /| \n", " | \\ ; \\ T / |\\ \n", " ', | \n", " \\_ __\\ \n", " ''-_ \\.// \n", " / '-____' \n", " / n, Sorry.\n", " / _/ | _ \n", " _' /' `'/ \n", " _-' <~ .' \n", " .' | \n", " _/ | \n", " _/ `.`. \n", " / ' \\__ | | \n", " ___/ /__\\ \\ \\ \n", " (___.'\\_______)\\_|_| \n", "\n", "-------------\n", "134 17 Shaggydog, Nymeria, and Ghost?\n", "-------------\n", "106 13 [Was this picture taken in Rivi\u00e8re-du-Loup?](http://www.badumtss.net/) \n", "-------------\n", "21 1 Dire Wolves. Fucking sexy ass Dire Wolves. \n", "-------------\n", "80 13 I call bullshit. Not one of them is howling, nor is there a moon present.\n", "-------------\n", "17 1 Yayy Quebec on the front page :)\n", "-------------\n", "10 0 That would make a badass t shirt.\n", "-------------\n", "23 4 where's moon moon?\n", "-------------\n", "11 1 Good Ol' Quebec, Canada. Land of wolves, maple syrup and Labatt 50. \n", "-------------\n", "22 4 No retarded comment from me. This is a nice picture!\n", "-------------\n", "6 0 I recognize this from a Being As An Ocean band t-shirt.\n", "\n", "Such a cool picture. \n", "-------------\n", "6 0 Looks like a boy band posing for their new album cover.\n", "-------------\n", "5 0 Is that Wolf+1's new album cover?\n", "-------------\n", "7 1 On a tu pris ces photos \u00e0 Rivi\u00e8re-du-Loup ?? :-)\n", "-------------\n", "7 1 Mon tabarnac c'est dont ben des beaux loups esti!\n", "\n", "-------------\n", "4 0 This image has actually been reprinted into a REALLY nice shirt by the band Being As An Ocean\n", "\n", "http://merchnow.com/products/149014/alpine-wolf-white\n", "-------------\n", "4 0 where, specifically in Quebec was that photo taken?\n", "-------------\n", "4 0 I like this one, one wolf is facing one way another facing the other way and the wolf in the back is like whaddya want from me\n", "-------------\n", "4 0 reminds me of princess mononoke\n", "-------------\n", "4 0 [As a Magic: The Gathering card](http://i.imgur.com/KI74xCc.jpg)\n", "-------------\n", "6 1 Winter is coming.\n", "-------------\n", "3 0 I suppose this is the time to post [this](http://www.reddit.com/r/pics/comments/1d1qs4/i_wrestled_those_wolves_in_quebec_canada/) picture.\n", "\n", "Me, in Quebec, joking around with some wolves.\n", "-------------\n", "3 0 Looks like the Christ + 1 album cover.\n", "-------------\n", "3 0 Where exactly was it taken?\n", "-------------\n", "3 0 J'adore!\n", "-------------\n", "3 0 Looks like Cartman tried to make an christian rock album cover\n", "-------------\n", "9 3 Did Eric Cartman stage this for an album cover?\n", "-------------\n", "5 1 [3 Wolf River](http://i.imgur.com/W01N0G4.png) saved my marriage! I used to wear boring 3-piece suits and platinum cufflinks, but my lady got tired of my buttoned-down looks; she wanted a wildman.\n", "\n", "Cue 3 Wolf River: this magnificent fucking shirt has not one, NOT TWO, BUT *THREE* stunning, predatory killing machines featured in a sharp art-deco arrangement. Also there's an awesome river, full of water and freshwater crabs and shit. My lady saw me sporting this bad boy and we had to send the kids away. Not for the weekend; *forever.*\n", "\n", "The amount of sheer manliness contained within these threads was not meant for mortal men, and yet *you* could own one of these majestic chest-hiders for *only $24.99!*\n", "-------------\n", "9 4 I hope those Stark kids pick up after them.\n", "-------------\n", "2 0 Dude i love how quebec looks, lived there nearly my entire life\n", "-------------\n", "2 0 3 wolf canada...\n", "-------------\n", "2 0 MAJESTIC AS FUCK!\n", "-------------\n", "2 0 For those of you who were wondering where those pictures came from, a lot of them were taken at Park Omega (http://www.parc-omega.com/)\n", "-------------\n", "2 0 That is the alpha male and he is alerting his pack that he has found a Tim Hortons.\n", "-------------\n", "2 0 Like an all wolf [Christian rock band](http://imgur.com/9yR3V6R.jpg)\n", "-------------\n" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can view the ordering visually by plotting the posterior mean and bounds, and sorting by the lower bound. In the plot below, notice that the left error-bar is sorted (as we suggested this is the best way to determine an ordering), so the means, indicated by dots, do not follow any strong pattern. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "r_order = order[::-1][:40]\n", "plt.errorbar( posterior_mean[r_order], np.arange( len(r_order) ), \n", " xerr=std_err[r_order],xuplims=True, capsize=0, fmt=\"o\",\n", " color = \"#7A68A6\")\n", "plt.xlim( 0.3, 1)\n", "plt.yticks( np.arange( len(r_order)-1,-1,-1 ), map( lambda x: x[:30], ordered_contents) );\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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c3d0ZN24cHh4e7Nu3j5CQEOLi4ggNDUWj0UjPGDx4MP3796dOnTqEhYURExMD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\nfWnfvj379u2Tji1ZsoQOHTqgUChwc3Nj8+bNQOnu85mZmTW2HR8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} ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the graphic above, you can see why sorting by mean would be sub-optimal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Example: Counting Github stars\n", "\n", "What is the average number of stars a Github repository has? How would you calculate this? There are over 6 million respositories, so there is more than enough data to invoke the Law of Large numbers. Let's start pulling some data. TODO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion\n", "\n", "While the Law of Large Numbers is cool, it is only true so much as its name implies: with large sample sizes only. We have seen how our inference can be affected by not considering *how the data is shaped*. \n", "\n", "1. By (cheaply) drawing many samples from the posterior distributions, we can ensure that the Law of Large Number applies as we approximate expected values (which we will do in the next chapter).\n", "\n", "2. Bayesian inference understands that with small sample sizes, we can observe wild randomness. Our posterior distribution will reflect this by being more spread rather than tightly concentrated. Thus, our inference should be correctable.\n", "\n", "3. There are major implications of not considering the sample size, and trying to sort objects that are unstable leads to pathological orderings. The method provided above solves this problem.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Appendix\n", "\n", "##### Derivation of sorting comments formula\n", "\n", "Basically what we are doing is using a Beta prior (with parameters $a=1, b=1$, which is a uniform distribution), and using a Binomial likelihood with observations $u, N = u+d$. This means our posterior is a Beta distribution with parameters $a' = 1 + u, b' = 1 + (N - u) = 1+d$. We then need to find the value, $x$, such that 0.05 probability is less than $x$. This is usually done by inverting the CDF ([Cumulative Distribution Function](http://en.wikipedia.org/wiki/Cumulative_Distribution_Function)), but the CDF of the beta, for integer parameters, is known but is a large sum [3]. \n", "\n", "We instead using a Normal approximation. The mean of the Beta is $\\mu = a'/(a'+b')$ and the variance is \n", "\n", "$$\\sigma^2 = \\frac{a'b'}{ (a' + b')^2(a'+b'+1) }$$\n", "\n", "Hence we solve the following equation for $x$ and have an approximate lower bound. \n", "\n", "$$ 0.05 = \\Phi\\left( \\frac{(x - \\mu)}{\\sigma}\\right) $$ \n", "\n", "$\\Phi$ being the [cumulative distribution for the normal distribution](http://en.wikipedia.org/wiki/Normal_distribution#Cumulative_distribution)\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Exercises\n", "\n", "1\\. How would you estimate the quantity $E\\left[ \\cos{X} \\right]$, where $X \\sim \\text{Exp}(4)$? What about $E\\left[ \\cos{X} | X \\lt 1\\right]$, i.e. the expected value *given* we know $X$ is less than 1? Would you need more samples than the original samples size to be equally as accurate?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "## Enter code here\n", "import scipy.stats as stats\n", "exp = stats.expon( scale=4 )\n", "N = 1e5\n", "X = exp.rvs( N )\n", "## ..." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "2\\. The following table was located in the paper \"Going for Three: Predicting the Likelihood of Field Goal Success with Logistic Regression\" [2]. The table ranks football field-goal kickers by there percent of non-misses. What mistake have the researchers made?\n", "\n", "-----\n", "\n", "#### Kicker Careers Ranked by Make Percentage\n", "
Rank Kicker Make % Number of Kicks
1 Garrett Hartley 87.7 57
2 Matt Stover 86.8 335
3 Robbie Gould 86.2 224
4 Rob Bironas 86.1 223
5 Shayne Graham 85.4 254
\u2026 \u2026 \u2026
51 Dave Rayner 72.2 90
52 Nick Novak 71.9 64
53 Tim Seder 71.0 62
54 Jose Cortez 70.7 75
55 Wade Richey 66.1 56
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### References\n", "\n", "1. Wainer, Howard. *The Most Dangerous Equation*. American Scientist, Volume 95.\n", "2. Clarck, Torin K., Aaron W. Johnson, and Alexander J. Stimpson. \"Going for Three: Predicting the Likelihood of Field Goal Success with Logistic Regression.\" (2013): n. page. Web. 20 Feb. 2013.\n", "3. http://en.wikipedia.org/wiki/Beta_function#Incomplete_beta_function" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "" ], "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] } ], "metadata": {} } ] }