{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Scaling, Accuracy Example\n", "\n", "---\n", "\n", "In this notebook, speed comparisons between the BAPE algorithm and the \"brute force\" method of just using your forward model for Bayesian parameter inference using MCMC (see https://github.com/dfm/emcee for our MCMC algorithm). We run the BAPE algorithm on the Wang & Li (2017) Rosenbrock function example and consider cases where instead of the ${\\sim}10\\mu$s runtime of the analytic Rosenbrock function, it took anywhere from $10^{-3}$s to $10^{4}$s. This exercise allows to us crudely estimate how slow a forward model must be before using approximate methods such as ```approxposterior``` is warranted." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from approxposterior import approx, likelihood as lh, gpUtils as gpu\n", "\n", "import george\n", "import corner\n", "import emcee\n", "import numpy as np\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "mpl.rcParams.update({'font.size': 18})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Initialize and run the example.**\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Define algorithm parameters\n", "m0 = 50 # Initial size of training set\n", "m = 20 # Number of new points to find each iteration\n", "nmax = 3 # Maximum number of iterations\n", "bounds = [(-5,5), (-5,5)] # Prior bounds\n", "algorithm = \"bape\" # Use the Kandasamy et al. (2015) formalism\n", "\n", "# emcee MCMC parameters\n", "samplerKwargs = {\"nwalkers\" : 20} # emcee.EnsembleSampler parameters\n", "mcmcKwargs = {\"iterations\" : int(1.0e4)} # emcee.EnsembleSampler.run_mcmc parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Sample initial conditions from the prior\n", "theta = lh.rosenbrockSample(m0)\n", "\n", "# Evaluate forward model log likelihood + lnprior for each theta\n", "y = np.zeros(len(theta))\n", "for ii in range(len(theta)):\n", " y[ii] = lh.rosenbrockLnlike(theta[ii]) + lh.rosenbrockLnprior(theta[ii])\n", "\n", "### Initialize GP ###\n", "gp = gpu.defaultGP(theta, y)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Initialize object using the Wang & Li (2017) Rosenbrock function example\n", "ap = approx.ApproxPosterior(theta=theta,\n", " y=y,\n", " gp=gp,\n", " lnprior=lh.rosenbrockLnprior,\n", " lnlike=lh.rosenbrockLnlike,\n", " priorSample=lh.rosenbrockSample,\n", " algorithm=algorithm,\n", " bounds=bounds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**This time, turn on the timing option with timing=True in the run method.**\n", "\n", "---\n", "\n", "Setting ```timing=True``` allows the code to profile how long various parts of the algorithm take to run. If ```timing=True```, then the code keeps track of, for each iteration, how long it takes to find $m$ new design points retrain the Gaussian Process, run the MCMC, fit the Gaussian Mixture Model approximation to the joint posterior distribution, and estimate the KL divergence between the current and previous joint posterior distributions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Run!\n", "ap.run(m=m, nmax=nmax, estBurnin=True, mcmcKwargs=mcmcKwargs, cache=False,\n", " samplerKwargs=samplerKwargs, verbose=False, timing=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Estimate Time Scaling as a Function of Forward Model Time**\n", "\n", "---\n", "\n", "Now, imagine that our forward model takes anywhere $10^{-5}$s to $10^{4}$s for one evaluation. In the \"brute force\" method, for each iteration for each walker, the MCMC algorithm runs the forward model, typically resulting in $>10^5$ forward model evaluations! Obviously for slow forward models, this readily becomes computationaly intractible. Here, we show how the \"brute force\" method scales compared to ```approxposterior```'. In this section, we take care to accurately time all facets of the algorithm while factoring in different forward model evaluation times." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Create synthetic forward model times in seconds\n", "ns = np.logspace(-5,4,10)\n", "\n", "# Number of evluations in the MCMC chain\n", "niters = mcmcKwargs[\"iterations\"]\n", "\n", "# \"Brute force\" times are the number of evaluations times the forward model evaluation time\n", "bruteTimes = ns*niters" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Compute GP training time factoring in synthetic forward model run times\n", "gpTimes = np.zeros(len(ns))\n", "\n", "for ii in range(len(ns)):\n", " # The algorithm initializes with m0 forward model evaluations\n", " gpTimes[ii] = m0*ns[ii]\n", " \n", " # Loop over iterations\n", " for jj in range(len(ap.trainingTime)):\n", " # Add time of running forward model to get m new points and training GP, running mcmc, \n", " # change in KL divergence, and GMM estimation times\n", " gpTimes[ii] += m*ns[ii] + ap.trainingTime[jj] + ap.mcmcTime[jj]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot the scalings to see where both methods are faster!**\n", "\n", "---\n", "\n", "Below, we plot the total time it takes for the full Bayesian parameter inference (y axis) as a function of forward model evaluation time (x axis)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9,8))\n", "\n", "ax.plot(ns, bruteTimes, \"o-\", lw=2.5, label=\"MCMC\")\n", "ax.plot(ns, gpTimes, \"o-\", lw=2.5, label=\"approxposterior\")\n", "\n", "# Reference year, month, week, day, hour timescales\n", "ax.axhline((365*24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax.axhline((30*24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax.axhline((7*24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax.axhline((24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax.axhline((60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "\n", "# One minute forward model reference\n", "#ax.axvline(60, lw=2, ls=\":\", color=\"k\", zorder=3)\n", "\n", "ax.text(1.0e-5, 4.0e7, \"Year\")\n", "ax.text(1.0e-5, 3.5e6, \"Month\")\n", "ax.text(1.0e-5, 7.0e5, \"Week\")\n", "ax.text(1.0e-5, 1.2e5, \"Day\")\n", "ax.text(1.0e-5, 4.4e3, \"Hour\")\n", "\n", "ax.set_ylabel(\"Total Computational Time [s]\")\n", "ax.set_xlabel(\"Time per Forward Model Evaluation [s]\")\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.legend(loc=\"lower right\")\n", "\n", "# fig.savefig(\"scaling.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two clear regimes in this figure. For very fast forward models, $t<10^{-2}$s per evaluation, it's slower to train the Gaussian process then actually run the MCMC using the true forward model, so in this case it's not worth using approximate methods. For slow forward models, $t>10$s per model evaluation, most of the time is spent running the forward model to give training points to the Gaussian process, so the actual MCMC inference is relatively computationally cheap.\n", "\n", "The turnover when it's faster to use ```approxposterior``` occurs once the forward model takes ${\\sim}1-10$s to run. Once the forward model takes a few minutes to run, however, the approximate method completes in of order hours while the brute force method can take up to a month -- a massive speed-up! \n", "\n", "Strictly speaking, this scaling plot applies to the Rosenbrock function example from Wang & Li (2017). Scaling plots like the one above depend on how many MCMC iterations you use, the MCMC algorithm, how many samples the GP is trained on, and probably the GP kernel. For example, longer MCMCs have a raised floor for the flat region of the GP approximation curve and dictate when the turnover occurs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**For slow forward models, the approximate methods are clearly faster. But how accurate are the results?**\n", "\n", "---\n", "\n", "Above, we used the exact algorithm parameters Wang & Li (2017) used for their Rosenbrock function example. In the True_Rosenbrock_Posterior example notebook, we ran an MCMC inference using the true Rosenbrock function likelihood and algorithm parameters from Wang & Li (2017) to derive the \"true\" joint posterior distribution. Below, we visually and numerically compare the approximation to the joint posterior distribution derived above with true distribution to see how accurate the approximate method is." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Load in the true chains from the True_Rosenbrock_Posterior example notebook\n", "trueMcmc = np.load(\"trueRosenbrock.npz\")\n", "trueFlatchain = trueMcmc[\"flatchain\"]\n", "trueIburn = trueMcmc[\"iburn\"]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7,6))\n", "\n", "bins = 20\n", "\n", "# Plot GP approximation to the joint distribution\n", "samples = ap.sampler.get_chain(discard=ap.iburns[-1], flat=True, thin=ap.ithins[-1])\n", "corner.hist2d(samples[:,0], samples[:,-1], \n", " bins=bins, ax=ax, color=\"C3\", plot_density=False, plot_contours=True, plot_datapoints=False,\n", " label=\"GP Approximation\")\n", "\n", "# Plot the true joint distribution\n", "corner.hist2d(trueFlatchain[trueIburn:,0], trueFlatchain[trueIburn:,1], bins=bins,\n", " ax=ax, color=\"black\", plot_density=True, plot_contours=False, plot_datapoints=False)\n", "\n", "# Formating\n", "ax.text(-2.2, -1.5, \"Truth\", color=\"black\")\n", "ax.text(-2.2, -2, \"approxposterior\", color=\"C3\")\n", "ax.set_xlabel(\"x0\")\n", "ax.set_ylabel(\"x1\")\n", "\n", "fig.savefig(\"accuracy.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The true and approximate distributions look nearly identical! How do the 0.16, 0.5, 0.84 quantiles compare for the 2 parameters, x0 and x1? " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "approxX0 = np.percentile(samples[:,0],[0.16, 0.5, 0.84])\n", "approxX1 = np.percentile(samples[:,1],[0.16, 0.5, 0.84])\n", "\n", "trueX0 = np.percentile(trueFlatchain[trueIburn:,0],[0.16, 0.5, 0.84])\n", "trueX1 = np.percentile(trueFlatchain[trueIburn:,1],[0.16, 0.5, 0.84])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x0\n", "True\t [-2.4136162 -2.32461971 -2.27654002]\n", "Approx\t [-2.17418768 -2.11799219 -2.08216416]\n", "\n", "x1\n", "True\t [-1.70102134 -1.40117241 -1.25195281]\n", "Approx\t [-1.64048781 -1.3753925 -1.22776931]\n" ] } ], "source": [ "print(\"x0\")\n", "print(\"True\\t\", trueX0)\n", "print(\"Approx\\t\", approxX0)\n", "print(\"\")\n", "print(\"x1\")\n", "print(\"True\\t\", trueX1)\n", "print(\"Approx\\t\", approxX1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The answers are consistent - great!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot them together**\n", "\n", "---\n", "\n", "Good for posters and stuff." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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izhiayC+W5faLQAxIZowYYCyGwaKKSo4mJ7E/TCCm3afDh3Hbvv20vP0OqTfd2EszFEKcTpwbNmIdOZKGKEuUlNZMLCujNCcHV2Ls2yZai4oJZGdjpKeHHdMesPHnxj4YJAaPBx54gKeeeorKykqeeOKJTvs///xzAIqLizvVkQE6lhzt2bOHpUuXdmx/5513eO6559iyZQu1tbX4T8rQamxsJCMj44Rtc+bMwSKdEYUQQpyCJk+AH39Uzv6aYPZw/gg7/3bBcBIt/ScfRX7CiQFlbnUNqT4f74zNi9oStiQ5mYqMdMyvvELKt69FWfuuOJMQYvAxPB5cX35J2jXXQEN9xLHDa2tJdrv5cuqU2E9Ea6xFRXinTY04zFJeDkAgDpk5YvAwmUzYbDYA7HZ7p/21tcFmUK+//nrE87S0fFNE//HHH+ehhx4iKyuLCy+8kNGjR2O321FK8dZbb7Fr165OXZwAhsWw45gQQojTR0Orn4dWl3OoPtjg4MxRSfz4/GEkmGPYPCEGJBgjBgxrIMDZlZUcSknhaBfT7LeOG8fwwi04P/iQ5CuviPMMhRCnk9avCtBuN0nnLoZVqyKOnVRahsdi4ciQITGfh6m6GlNTE/7xEyKOM5eVE0hPR3eh0LAQ4aS1ZaWuXr2aiy++OOp4j8fDY489xqhRoygsLCQn58SldJ988knYY1UsO44JIYQ4LdQ4/fxwdRmljcHmBkvGJvMv5w7FYup/P1P6T46OEFHMq64m2e9n3YjhXT6mJDsb68SJNL70Elo6KwkhYsi5cQMqMRH7/PkRx1l9PsZWVlI8YgQBc+zXKFuLigHwTYwSjCkvl6wY0WNnnnkmwAk1YSKpqKjA6XSyePHiToGYxsZGtm/fHvM5CiGEOD1VNvu4//3SjkDMxRNT+GE/DcSABGPEAJEQCHBWZRUHUlMp605bS6VIu+MOfIcO4WortCmEED2ltca5YQOOhQswRakBM66yEothsH9kblzmYi0qwnA4CAyPEKg2DCwVEowRPXfttdcyatQonn76adasWdNpv9aaTZs24fUGU8Nzc3OxWq189dVXuFyujnFer5d7772XxrbC0kIIIURPlDR6uf/9MipbgjXJrpiSxn3nDMHcTwMxIMuUxACxsOoYjkCA9afwQSLpogtpePZZGn//Io7zzpO0ZyFEj/kOH8ZXUkrG7bdHHTuptIz6pCSqoxQdP1WWoiL848ZBhHbZppoalNcnxXtFjyUmJvL222+zfPlyLr74YhYtWsSsWbNITEykpKSEr776isOHD1NfX09CQgJWq5V7772Xp59+mpkzZ3LFFVfgdrtZu3YtLS0tLF68uMtZNkIIIUQoh+o8PLS6nAZ3AIBvn5HOP8zL6vef+yQzRvR7iX4/C6uq2JueRmWSo9vHK4uF1BUr8O7ciXvz5jjMUAhxunFuCH54TFq8OOK4VKeTYfX1HBiZG7Xo+KlQTieWigp8EyIvUZLivSKW8vPz2bFjBw888AC1tbX87ne/4ze/+Q1btmxhwYIFvPbaa6SmpnaM/9WvfsUvf/lLLBYL//3f/80777zD2WefTUFBASPk36QQQoge2F/j5sEPyzoCMbfOyRwQgRiQzBgxAJxVVYXNME4pK6Zd8pVX0PDb39L44otR6zsIIUQ0zg0bSBg/Hmtu5KVHE8vKMIADUcadKkt7vZgJ4yOOM5dJMEZ03eHDh6OOGTZsGE888UTI9tcns1qt/PCHP+SHP/xhp31/+tOf+NOf/nTCtilTpqC17vJ8hRBCnJ52VbXyr2sqcPmCtUHvmp/FtWdk9PGsuk4yY0S/5vD5mH+sml0ZGVSHaLF5PKU1uS1OCPEGzmSzkXbzzbg//wLP7t3xmq4Q4jRgOJ24Nm8m6dxzIw/UmomlZZTlZOOKUlfmVFmLi9BmE/68vIjjzOXlBLKy0HGahxBCCCFEb9pa7uLhj8o7AjH/dFbOgArEgARjRD93dmUVFsNgQxc6KC0pL+eOffuYVVsbcn/Ktd9CJSfT+NLLsZ6mEOI04vz8c/D7gy2tIxhRW0eK283+OGXFQLCTkn/0GLDZIo6zlJVJVowQQgghBoUvS5w88rcKPH6NScEDi4ZwxZT41OaLJwnGiH4r2eslv7qar7MyqYvyNHeE08nZlVUYwJLyCiwh2libUlJIve7buP72N3xHjsRp1kKIwc65YSOm5GTsc+ZEHDeprBSPxcKRoUPjMxGfD8uhQ/ij1IvB78dcVYU/jkEhIYQQQojesOFQCz9ZW4EvoDEreGjJUC6amBr9wH5IasaIfuucyipMWrMxUrtWwGIYXHXoMM1WKx+MGc0NRcUsrDrGp8OHdRqbetNNNL32Rxpf/gPZ//ZIvKYuhBiktNY4N27EcfbZKKs17Dir309eZRVFI0YQMJvjMhfL0aMovz96vZjqapTfT6ALGYZi4CksLAxbpPC3v/0td999NwDPPfcc99xzT9jzHF+jJT8/ny1btoQcd9ddd/Hcc891XHvevHlhz7l582by8/MBuPvuu3n++edDjps7dy6FhYUdX0cquij3JPcEvX9P+fn5rFixgmXLlgGwevVqnnnmmbDXX7VqVcef77vvPoqLi0OOW7ZsGffeey8AxcXF3HfffWHP+dRTTzF+fPD1/plnnmH16tUhx40fP56nnnqq4+srr7wy7Dnvvfdeuac2ck8D457u+MlvKB+1FJQJAn7UVy/xH/+7m/+I0z3Fm2TGiH4pzeNhbk0N27KzaYiSfn9+WTlZHg/v5Y2hKC2NfWlpnF1ZicPn6zTWnJVF8lVX0vKXv+A/dixe0xdCDFKevfsIHDsWdYnS2IpKrIEA+0fGc4lSEUDUTkrmtk5KkhkjhBBCiIHqvb2NlI++MBiI8Xuwfv485sqBXQtUSbX6b8ybN09vHoCtj+P9d1heXh7X1mDf//73sZ70hPmyI0eYUVvHM2dMpzkhIeyxY5qbuXX/AQpyclg9ehQAWW439+zazeacHLbmz+UXv/jFCcf4ysoou+rvSL3pJjJ/ED5i2lWJcSyIORBasgkRK/F+LTNCLF/srtrnnqP2//6acevWYcnJ7tj+4IMPnjDu8i++wO7x8ua5i2PS0joxMZHly5efsC3lmWewlFdQ/+8/i3isY9Uq7O/9ldr/918Q4fV00aJFPZ5nOCaTqVBrHf4xtjhlA/W9ixADSUFBwQnt2oUQvevPO+t5riBYF9RhVTx20QjOGBq5uUtPTZkyJe7vXWSZkogqEAjE9fxVVVV4vd6Or4cEAsxsauZjWwLbS0vDHpeoNfc0NVNlMvE7nxfvwYMAHASmJCSwuLqar44c5ejRo50PXrSIpjffpHnZxaiUlB7Nf9KkST06XgjRO+rr63sc4Gz6+BMskyfTYrVAQ0PH9p07d3a8Vmb7/Qyvq2dVagrbd+zo0fXajR8/Ho/H880GrckoKsY9ffqJ20NIKiklkJ2NR2sIM1YCv0IIIYTob7TW/HF7PX/YWgdAcoKJn188gsk5g6M7pARjBoF4v4keNqxz7ZVYGjJkyAn3cPXREgJKsW3cOEZFqMlwRWkZWYbB78ePY2hS0gn7Nvt8nL1vP5fW12EydV6Np679FoH161EffIDphhtidzNCiH5LKdWj10ujsRHfrl0k3X5bp/NorbFYgj9Sz2xpwQAKU1I6tvWUYRjMnz+/42vfoUNUt7Qw4oKlTDxueyjHnnwSy/RpjI4yTgIyQgghhOgvtNb8vrCW//k6+PArPdHML5aNYFxm5BIWA4nUjBH9So7bzcyGBr7KzqIlQiBmQnMz8+rq+Cwnm5KTAjEALVYrn+VkM66yCr13b6f9Ki8PNX8+xqq/oN3uWN6CEGKQ8nz5JRgGtrPOCjtGac38Fif7ExNpjFEgJhTXe++B2UzimWdGHKe9XvwlpVjGjovbXIQQQgghYsnQmv/+sqYjEJPtMPPE8txBFYgBCcaIfua8qmP4TCY+zckJOybRH+CqklKO2Wx8EqFl7GfZ2bhsNgK/fzFkLQrTt6+F5mb0R2tiMnchxODm/exzVHo6lqlTw44Z7/GQFQjwVXLnIDHA8oYGFjc192gehsuF691VJJ5/HuYobbP9R45AIIB1vARjhBBCCNH/BQzN058e4909jQAMTbbwH5eOZHR6+Lp3A5UEY0S/MbS1lTMaG/k8OxtXhCfKy8vLSfL7+d9Ro/CHWILUzms2s3nCBNizB/3Fl532q6lTYfo0jLffRofovCSEEO10IIDnyy+xnXkmKsLrzoIWJ61K8bW9c1G5NL+fixqb+FZ9PZNaW095Lq1/fR/d3ExyF5ZY+tpqaVnGSTBGCCGEEP2b39D8amMVqw8EH1yNTLXyH5eOZFhK+BUTA9mgDcYopW5VSum2X3f29XxEdEurqmg1m/j8uA4lJ5vS2MjshgY2DBlChaPzhx3bScWG943MhZEjMV5+Ge33dxpvuvbbUFOD3rCh5zcghBi0fLv3oBsbIy5RSjAMZrlcbE1y4AsRsJnvdGICaixmbq6tJekUiqNrw6DljTewTp+G9Ywzoo73Fx8EsxnL6NHdvpYQQgghRG/xBjQ/+6SSdQdbABibkcCTl+aSkzR4y9wOymCMUmoU8F9AS1/PRXRNltvDlKZmPsvOwW02hxyjtObysnLKExPZMHRIp/1TGhv50a7djHI6O7ZpkwnT7bdBWVnIgIvKnwtjx2K8807sbkYIMeh4Pt0EJhMJCxeEHTPL5cKmNV8lJYfcP9fpothm43c5OTgCBpcd142py/P44gsCJSUkXX9Dlwru+vbswTJ6NCpCDS4hhBBCiL7k9husXFvB50eDn+MmZdv41SW5ZNgHbyAGBmEwRgXfnb4I1AK/6ePpiC6yB4JZK+Uhsl3aWQ2DFL+fnenpGCE+hExoDsbeRrlcJ2xXCxZASgp6585OxyilMC1dCoePoGtqenILQohBSgcCuD/4kIQFCzClpoYdN8vVSp3ZzGFb6DXNiYZBjcVCRUICdRYLdqNzLatoXKv+gik9HfvS86OO9R08iOerr0hcurTb1xFCCCGE6A0un8Eja8opLAt+hps+JJFfLhtBamLoB/SDyaALxgDfA5YCdwDOKGNFP9Ge0m81jLBjEtr2ecyh/9ladHB/utd7wnalFGriBHRRccjj1KyZAOjt27s3aSHEacH7xZcY1dXYr7wi7BibYTC5tZUdDgeEyVgJKIWlrZh4kmHQEqH2TMjjGxpwb9yIffklXcp0afnDKyi7neTrr+vWdYQQQgghekOzJ8DDq8vYURnsbjtnhJ2fXzyCpITBH4iBQRaMUUpNBX4J/F+ttRQBGUC6E4zxhvkAk9ZWhDfL4+28c8JEOHIE7fF03jdmDKSnobdJMEYI0ZnrT3/ClJOD7Zxzwo6Z5nZjBXZEyO7zK4UZjdIah2HgDBNYDqf1w9Xg9+O4/PKoY/3l5bR+9BGOq/8OU1pat64jhBBCCBFvDe4AP/ywjL3Vwc9nC0c5+OkFw0m0DqoQRUSD5k6VUhbgFeAo8KM+no7opm+CMeHT9qMGY7zBYEymt3PARU0YD4YBhw513mcyoWbOQm/fHrIFthDi9OXbswdvYSGO66+PmI0y09VKs8nEIZst7Bi/AosOZsWYgBZT9576uN57D+uUKVgnTIg6tuXVV0Epkm+8sVvXEEIIIYSIt1qXnwffL6W4LvgQfXFeMo+cP5wEy6AJT3TJYLrbfwPmALdrrbvcM1QpdbdSarNSanN1dXX8Zici8qnuZMaE+ACjNaltmTHpXh/mk86j2j686OIIS5Xq66GkpNtzF0IMXs5XX0MlJ2O/6sqwY7THw3S3mx0OBzpCUd0ACrPWJLd1UepOZsyQlhb8Bw50KSsmUFuL6y/v4bjsMsxDOhc7F0IIIYToK1UtPu5/v4yjjcHPbheOT+HhJUOxmqM3JhhsBkUwRim1gGA2zH9orT/vzrFa6+e01vO01vNycnLiM0ERlc8U/M9n1ae2TCkpEMCqNaV2OyYg46S6MWRnB5ciHSgKeW41ezaALFUSQnTwl5TgWbcO+zVXY0pKCjvOW1BAotYRlyjBNzVjktpey7qTGTO96hhYrdgvvijqWOfrr4PfT/Ktt3T5/EIIIYQQ8VbW6Hxe0dsAACAASURBVOX+98uoaA4GYi6bnMr9i4dgNp1+gRgYBMGY45Yn7Qce6ePpiFMUUAqDKJkxgbZgTIinyWltwZeDycGWspmhiviOn4AuChOMGTIEhg+TIr5CiA6uP74OViuO6yIXwHWvW49LKYoSEyOO8yswo0luey1r6WJmjFlrplZXk7jk3Kj1X4ymJpx//l/sF1yAZdSoLp1fCCGEECLeDtd7eOCDMqqdwS6635qezv85KwdThKziwW7AB2OAZGASMBVwK6V0+y/g0bYxz7dte7rPZikiUwqfyXTKNWPai/e2B2OyQhXqnTABSkrQbnfoKcyajf76a3TbEgIhxOkrUFtL6wcfYL90OebMzLDjtN+PZ9MmdtrtBKK8mQigsGhINtqWKXUxM+YMVyt2vx/HFeG7ObVzvvkW2uUi+bYVXTq3EEIIIUS8Hahx8+AHZdS1Bt8D3Tw7g7vmZ6FO40AMgKWvJxADHuB3YfbNJVhHZhOwD+jWEibRu3xKRakZE/zPGzIY01a8t9KeiMts7pQZAwTbW7cX8Z06tfP+2bPQH34IBw7AlCmnehtCiEHA9eabwc5FN90UcZx32zZ0UxPbs7KintOvgjVjkrqZGbPA2UJzQgLD58+POM5obcX5xhvYFp2DdeLELp1bCCGEECKedh9r5V/XVOD0Bt///MO8LK6bkdHHs+ofBnwwpq1Y752h9imlVhIMxrystX6hN+clus9nMp1yzZg0nxevUrSazdQlJIRsb91RxPdAESpUMGbGDFAKvX07SoIxQpy2DKeT1v99G9t552EZOTLiWM8n6yAxkb1RlijBNzVjko0ALpPC6MLToDS/n6mtbr4aOZLJ5siZNK533sVobCTlttuinlcIIYQQIt62Vbh49G8VuP3B1Q//uDCbq6al9/Gs+o/BsExJDBLBZUqRgzEGwafLJ0vz+WhMSAClqLXZyAyxTEllZUFGRvi6MampMG4chhTxFeK01vruu+iWFpJujpwVow0Dz4YN2M46q6MIeSTH14zp6hKleU4nJmDX0MhdkbTXS8trr5Ewdw4JM2d26dxCCCGEEPFSUOrkkTXBQIwCfnDOEAnEnESCMaLf8JlMWKLUjPGaTBAqGOP10Wi1AlBnSyDN58MSIrCjJoQv4gttLa737g1bV0YIMbhprxfXn94gIT8fa4gMuuP5du3CqK3FtmRJl87dXjMmyTC6tkRJaxa2OCm22WiwR+7U5PrgA4zqapJvu71LcxFCCCGEiJdNh1tYubYCb0BjUvDQkqEsm5Ta19PqdwZ1MEZrvVJrrWSJ0sDgM0WpGRMwQi5RgvbMmGAwpjYhIXR7a4J1YygtRbe2hjyPmjUb/H707t3dvwEhxIDn/ugjjJoaHLfcHHWsZ916sFqxnXN2l87dXjMmORDoUlvrPI+XIX4/XyWHb6sNoAMBWv7wCtYpU7AtXNCluQghhBBCxMrHxU3c+j+HueTFIr79x4M89kklfgOsJnjk/GGcNy6lr6fYLw3qYIwYWHwqes2YUMEYs2GQ4vcflxljAyAzRN0Yxk8AreHgwZDXUNOmgcWClqVKQpx2tGHgfPU1LBMnkrAgclBDa41n/XoS5s3DlBQ5WNKuvWZMkmHgDBNYPt5CZwsepdjmcEQc5/74YwKlpSTftuK070oghBBCiN71cXETT39azTGnHw00eYKf58wKVl44nLPHJPftBPsxCcaIfqMrra29IVL7U9vaWjdYEwCoTQgGY7K8IerGTBgPBIv4hqISbaipU9Hbt3Vv8kKIAc+z6VMCR4/iuPnmqEEN//4DBMrLSTz/vC6fP1gzhmBmTJRivAmGwRyni20OB54IgRutNc0vvYwlbwyJ53V9LkIIIYQQsfBiYR2eQOfPcCk2M/Nyu/bA6nQlwRjRb3SlgK83RGp/Wlswpn2Zkttixmk2h+6olJkJWVno4kh1Y2bBwUPoxqbu3oIQYoDSWuN69VXMI0aQuPT8qOM969eByYRt0aIuXyOAIkFrLERvaz3T1Uqi1nwZZYmS59PP8BcVkbxiBaoL2TZCCCGEELFU7fSH3N7oDvTyTAYeeecm+g1/tJoxYZYppXmDwZimtmVKECziG6qjEgSzY8JlxkBbEV9A79jRpXkLIQY+3/bt+HbuxHHjDSiLJep49/r1WGfPxpTe9a4AgeOybaItU1rY0kK1xcLBtmWXoWitaX75JczDhmFftqzL8xBCCCGEiAWtNXZr6Pc0OUnR30+d7uQ7JKLSOvzSoVioq6vDMAya3B4sgQDV1dUhx5m9Xpq17rTf2twCQHFjY0fb63Ktmehupb6+njVr1pwwfoxSjCsr4+P3/krAltDpOsowWJSQwLG//pV97tCFftvZbDbGjh3b5XvtLnOUpQw9JfUlRHfF8/UgEAjE9d/ktm3bwp4/49n/xpqczP5Ro2Bb5GWK5spKhhw6TN38+RxtG1tTU4MRIZgMUO//5glRSWMTlS0tIccN0ZqJXh9vmM1UVlUBkJycTCBw4hMm79Zt+HZ8TcoP7sNQCgLyBEoIIYQQvUNrzW++qsHl6/z+x2ZW3JGf2QezGlgkGCOiSkjoHLCIpUsuuQSlFKMKCrB9vZPLLrss5Li0P76Ob+RILjt38QnbZ2zciPtoCcsuv7xjW/rWrWQWbiHJasV7Ulel+szgC0NieTn1uSNCXqtmZC45RUXsnT8PX2Ji2LmbTCYJaAgRI0qpuP5/Cnd+S1k5iTt30nzF5agImSjt7G0Fvj2zZ3ecb8yYMaSkRO4UkFNZCSWlAAydOJGZYZYgLS4rQ5dXcGz6dGa2BYzT0tJITT2xJWTZH/+IOTOTITfdhCnC65QQQgghRCwFDM1/fV7NB/uDZR1SbQqryURda4CcJAt35GeydLy0so5GgjGi3whYLJgNA2UY6BAp/Ba/H7+18z9Ze4sT90kfapxtH1rSW92dxjfl5ACQWlMdNhhTnJ/P0EOHGb95M3u7URNCCDHwJK35CCMhAde553ZpfOK2bXjz8jAyMrp1HUN987rmCvFaBoDWzKip5VBqKs0hMvfaefbuxfXpp2T98z9LIEYIIYQQvSZgaJ7cWMXHB4MZvrmpVn65bARDkq1RjhQnk5oxot8ImIMfTkz+EEWgtMbs8xGwdP5Pnuh00pp0Yss0Z1oaAOmtnZcZee12WpOTSQuzHAqgJSuLkmlTGbVrN8l1dd25DSHEAGKqqyOxYDOt55yDTo7eetFUW4v16FHcc+Z0+1oB0zdZOa4wdWnymptJ93rZkZ0d8VwNr/0RZbeTdv113Z6HEEIIIcSp8AU0/76usiMQMyY9gSeX50og5hRJMEb0G4G2J8WWtu5Ix1NaY9IaI0QHkkSXC6/9xCfDbkcwUybF3TkzBoLZMRnlFagINRaK5s8nkJDApC++7PI9CCEGFsf69QA4L7ygS+OT1vwNAM/sWd2+lv+4zBhfmAK+U2vrcJvN7MsIXxjYcLtpfv99Ui6/DHOqpAALIYQQIv48foOfrK3g0yNOACZk2XhieS6ZDllsc6okGCP6jfYAit3p7LRPm0y0OhwkhWg37UxN7bQ9ta4WgLokR8hrlU6ZTKLLxYj9B8LOx5eYyOGZM8k5epTk2tou34cQYoAwDOwFBXimT8PIjF5kzr5xI0nr1+NcupTAkCHdvlzt8cuJwtTGyWltpdLhIBCh25Jn9260x0PSkiXdnoMQQgghRHe1+gweWVNBQZkLgKk5iTy+bARpifFtNjLYSTBG9BuulOASAXtzc8j9zVmZpIRYMtSYkx1ccnRcl5es8goMk4nytuVKJ6sZPZrGnBzGbdkSMTumZPo0/BYLY6N0VxFCDDzW4mLM9Q2458+POjZh7z5S//QGnunTab7m6lO63jGHPeqYTI+H+sTIRYTdO74GIHHGjFOahxCDVV5eHnl5eX09DSGEGFRaPAEeXl3O9spg+YdZw+z8YtkIkm0SiOkpCcaIfqO1rROJozl0u9emzCySGxownRQ8acjJwerzkdzQ2LEtu6Kc+iE5+MO1hlaK4vy5OJqbGX4gcnZM6bSpDCsqJrEpdJBICDEw2QsKMBIS8MycGXGcubqG9Oefxz90KA3/8Pdwii3nAyYT27KzWTNqZMj9iX4/Dr+fOlvkgrzur3dgyc3FkpV1SvMQ4mTtncZMJhPFxcVhx51//vkdY1966aXem2Cb8847TzoYCiFEL2p0B/jh6nL2VAdLPywY6eCxi4Zjt0oYIRbkuyj6jYDViicxEUeYzJimzAxMWpPU0HDC9oa27kjtBXktHg9pNbXUDg/dKald9ZgxNGZnM37LVpRhhB13ZOZMUIq8HTu6cztCiP7M7ydxy1Y8s2aho7SzTvrwA/D7afjud9H26Nktkbw/No+CYcNC7stoq3FVF6U7knvH15IVI2LOYrGgteZ3v/tdyP0HDhxg/fr1WMIUnxZCCDG41Lr8PPhBGUW1HgAWjUni35YOx2aREEKsyHdS9CuulJSwwZjmzOBT4NSTliq1pKXhs1pJbwvGZFZWorSmdsTwyBdTiuJ5+TiamiJmx7iTk6mYMIHcvXuxhikILIQYWGx79mByOnHPnxdxnHK6sBdsxr1gAYGcyB2OeirTHXyzUxdhmZK/pgZ/RQWJMyUYI2Jr6NChzJs3jxdffBF/iK6GL7zwAlprLr/88j6YnRBCiN50rMXHA++XcaTBC8AF41P40XnDsJolOzGWJBgj+hVXSkrYmjHOtFQCZnOnYAwmE43Z2R3BmKyKCgJmMw1dKLBZPWYMTdnZjC/cEjE75tDsWVj8fkbv3Nn1mxFC9FuJBZsxkpLwTJ0acZz9889RPh+uJefGfU6ZHjcG0BAhU8fdlqGXOCPy0iohTsVdd91FZWUl77333gnbfT4fL7/8MmeffTbTp08Pe/yBAwdYsWIFubm5JCQkMGLECFasWMGBEA88Vq5ciVKKdevW8dZbb7FgwQIcDgeZmZnccMMNlJWVdYw9fPgwSinWt3U/a18qpZTivPPO63Rul8vFgw8+yOjRo7HZbEyYMIHHH38cfVxtOSGEEKGVN/m4//0yypuDHW4vnZTKA4uHYDZJICbWJBgj+pXWlBTsLS0QIjCiTSaaMzJIqe1cxLchJ4fUujpMfj/Z5RXUDR2K0ZW6Du21Y5qaGH6gKOwwZ2Ymx8aMZvTOXZhDtN4WQgwcyuPBtn077rlzINKSC8PAsWED3vHj8Y8MXeclljLdHhptCRE7Kbl3fA0WC7apU+I+H3H6ufHGG0lKSuKFF144YfuqVauoqqrirrvuCntsQUEB8+bN49VXX2X+/Pk88MADnHnmmbz22mvMmzePzZs3hzzu2Wef5ZZbbiEvL497772XM844gzfeeIMLL7wQjyeYLZaens6jjz7KmDFjAHj00Uc7ft1+++0nnM/n83HxxRfz5z//meXLl3PnnXfS2trKQw89xE9/+tMefHeEEGLwO9Lg5f73SznmDGZIXj0tje+dnYNJ6nXFhSz8Ff2KKyUZk9bYnc6Ogr7Ha87MYMjRkk7bG3NyMBkG2eXlpNbVsXde5KUHxzuWl0dTVhbjtmyhYuIEdJgPQodmz2bhu6vI3bePo2ec0fWbEkL0K7YdOzB5vbRG6aKUsGcPlupqGq64olfmlel2Ux+1eO/X2CZNwhSlrowQpyIlJYUbbriBl156idLSUka2BSGff/55UlNTue666/j5z3/e6TitNStWrKCpqYlXX32Vm2++uWPfG2+8wQ033MAtt9zC7t27MZ30M/bDDz+koKCAGcfVQbrpppt4/fXXeffdd7nuuutIT09n5cqVrFu3jiNHjrBy5cqw91BeXs6sWbNYs2YN9rYaT48++iiTJk3iqaee4kc/+hFWq7Un3yYhhBiUims9PLy6jEZP8KH4jTMzuG1uphROjyPJjBH9iqstAGMP21EpE5vbjc3lOmF7w5BgEd9xbSn8UevFHK8tOyapsZFhReGzYxqGD6d+6FDGbN8RcUmTEKJ/SywoIJCRjm/8+IjjHOvXE0hNxT1ndvwnpTUZHk/EejE6EMCzc6fUixFxdddddxEIBPj9738PwJEjR1izZg0333wzDocj5DGfffYZe/fu5ayzzjohEANw/fXXs2jRIvbt28emTZs6Hfu9733vhEBM+xwAvvrqq1O6h1//+tcdgRiAIUOGcNVVV9HY2Mi+fftO6ZxCCDGY7a128y8ffhOIuSM/k9vzsyQQE2cSjBH9iqujvXW4Ir6ZAKScVDfG7XDgdjjIqqzCZ7XSmN29QpvHxo6lOSuTcVu2hlwi1e7QnNk4mpsZFqH1pxCi/1ItLdh27aZ13jyIsBzIXFODbecuWhedE3kpU4wk+f0kBgIROyl5Dx7EcDqlXoyIq4ULFzJjxgx+//vfYxgGL7zwAoZhRFyitGXLFgCWLl0acn/79q1bt3baNy9EJuuoUaMAqK+v7/b809LSmDBhQkzPKYQQg9mOylYe+rCMFm/wM9B3FmRzw8zMPp7V6UGCMaJfcScno5WK0N46dEcllKKhrdNJ3bBhYZcahaUUxfn5JDc0MDxCoKV6zBhaMtLJ27YdpBCgEANO4tZtKMPAHWWJkn3jRlAK1+LFvTKvjrbWEZYpuXd8DSCZMSLu7rrrLo4cOcKHH37Iiy++SH5+PnPmzAk7vrGxEYDhw0NnpbZvb2ho6LQvPT2907b29tmBQKDbcw91vp6eUwghBqvNZU7+9aNyWv0aBXz/nByunh76dVTEngRjRL+iTSZak5LCBmN8iTZak5I6ZcYAuB1JADRlZZ3StavGjqU5M5NxhVvCZ8coxaFZs0itrSW7pHPtGiFE/2YvKMA/bFjkgrw+H45PP8MzaxZGmA92sdaVttbur3dgSk3B2lbEVIh4ufXWW7Hb7dxzzz2UlZVx9913RxyflpYGQGVlZcj9FRUVJ4wTQgjR9z470sLKv1XgCWhMCv7l3KEsnySv071JgjGi32mN0N4agkV8U0N0VDo6ZTKlEydQNiFyHYiw2mrHJDc0MOzgwbDDKiZOxJ2UFMyOEUIMGKa6eqxFRbTOnwcR1kAnbi7E5HT2SjvrdpluNwGlaIzY1vprEs+Ygepu5p8Q3ZSens61115LaWkpSUlJ3HjjjRHHt2fNrFu3LuT+9u1z587t0bzMbV0SJbtFCCF65pODzTz2SSU+Aywm+Nfzh7F0fOfmKSK+5B2d6HdcKck4WkIX8IXgUqXkhgbUSW/GmrOy2L5kCc4ePMmuGjeO5owMxhcWhs2O0WYzh2fOIKu8nJQwTwGFEP2PvbAQpTXuKN3WHOvX4xs+HO+kSb00M8j0eGiwJaDDBImsfj/eoiISZ0q9GNE7fvazn/H222+zevVqUkJ0NzzeOeecw+TJk9m0aRNvvfXWCfveeustNmzYwKRJk1i0aFGP5pTVlvl69OjRHp1HCCFOZ6v3N/H4+ioMDQlmxcoLhnPOmOS+ntZpSVpbi37HlZJCosuFye/HCFE4sykzA5PWJDc00HyKS5LCUoqD+XOZ9be1DDt4kMoQRQABSqdOZXzhFkZtLozt9YUQcWPfvBlvXh6BIUPCjrEcPkzCkSM0XX99xOyZWMt0uyPWi8lpbgbDkHoxoteMHj2a0aNHd2msUoqXX36Ziy66iOuvv56rrrqKKVOmsG/fPt555x1SUlL4wx/+0KmtdXddcMEFvPnmm1xzzTVceuml2O12xowZw6233tqj8wohxOni3d0NPPtlDQCJFsVPLxzOrOGhO+WJ+JPMGNHvfNNRKXR2THO4Ir4xUjluHC0ZGYwv3BK2SG8gIYGj06eTXVSE9/DhuMxDCBE7nuJirCUluOdHzopJWr8Bw2ajdeGCXpoZx7W1Dh+MGdrYBEDiDAnGiP5p4cKFFBQUcNNNN/H555/zxBNP8Nlnn3HjjTdSUFDAwoULe3yNO++8k4cffpjGxkZ+9atf8cgjj/C73/0uBrMXQojB740d9R2BmKQEE79YNkICMX1MgjGi32ltC8bYW0LXjXGmpRIwm+MWjMFkCtaOqa+P2ML66Iwz0GYz9S++FJ95CCFipvn999FK4c7PDztGtbSQuHkz7oUL0HZ7r80txefDahjURyjeO7SxEeuoUZgzMnptXuL0obWmtLS0S2N/9rOfobXm9ttv77Rv8uTJvPLKK1RUVODz+aioqODVV19l8uTJncauXLkSrTXnnXdep315eXlorXnppZdO2G42m/n5z3/OwYMH8fl8aK1PqFNz+PBhDod5QBLpekIIMZhprXl5Sy2/L6wFINVm4vFlI5g2pPfe64jQJBgj+p1vMmNCB2O0yURzRkbIjkqxckJ2TJjaMV6Hg8ppU2l691381TVxm4sQome01jT99X28kydjROjm4vjsM5Tfj2vJkl6cXXCJEhA5M6apSZYoCSGEEKJbtNY8V1DLH7fXA5BpN/PE8lwmZod/zyF6jwRjRL/jsdsJmM1hgzEQvqNSzJhMFOXnB7NjInRWKsnPRwcC1L/6SvzmIoToEffOnfiOHg12UQrHMLBv2Ih34kT8I0b03uQ4rq11mE5KKV4vyR4PiTOkeK8QQgghusbQmv/6vJr/3dUAQE6ShSeX55KXET4TV/QuKeArotJh6qbESkuIzkktSUlY6+tpDhOQqU5KYpTbjbe6Gk+Ep8m1tbV89tlnpzQvpTXDbTZGbNzE21VVIbucDBkyhMVLzqXhT2/At76FKSnplK4VTnZ2dkzP19tULxZAFQOfy+WKy3kb3nkHrFZWVVXR+u67IceMPnaM5bW1rBk1koNhxkS8RkMDfr//lObnaGzApxRHnU50iO/ByLbXSNuMM+L+ejxQKKWuicFpdmut98bgPEIIIUS/EjA0/7npGH8rDn6WGp5i5fFLRjA02drHMxPHk2CMiCreH6hvuummTtuMomLS6upC7gPQO75Gb93GNXPmoObMCXvuBx98EFuYp83RaGDd0CFcf7SE6Q0NfB2iZbbFYsFxww00fLIOz6q/4LjpxlO6VjgSzBCnk3j8e9eBAK6P1mBfdA6l9fWYzeaQ4y4qPkiz1cq2hASMhoYT9iV5vUyvqaE0JYXyMC1+J0+ezIUXXnhKcxz96msEEmysCFGDA2Do6tUY1TU4zjgDU4gOc6eptwi+TPfET4CfxmAuQgghRL/hC2ge31DFxsPBhzmj06z88pJcshzyHqK/kb8R0T8NGwa7dqH9flSoDx9j80Ap9J69EYMxPbU7NZUqm42za2pDBmMALJMnY507F/fbb2O/8QYJoAjRj7i/+AKjthbHskvgz2+FHJPmdjOusZFNI3MxQrTenV9RycKKCgB+M3sWjRGy8bpNaxIrK2nNzQ07xFFaimf4cEwJCbG77uDwQduv7lLAr2M8lz5TWFgY9ufOb3/7W+6++24AnnvuOe65556w5zk+6yo/P58tW7aEHHfXXXfx3HPPdVx73rzwy/82b95MflvR7Lvvvpvnn38+5Li5c+dSWFjY8XWkn6NyT3JP0Pv3lJ+fz4oVK1i2bBkAq1ev5plnngl7/VWrVnX8+b777qM4TEOIZcuWce+99wJQXFzMfffdF/acTz31FOPHjwfgmWeeYfXq1SHHjR8/nqeeeqrj6yuvvDLsOe+99165pzaD5Z7e+t93eOyTSr4qDWbaqoZSKv/6W+54yTlg76kv/57iTYIxol9SZ0xH//WvsH8/TJvWeX9KCnrGDFi3Dn3D9agQH6BiQSvFjvR0LqqqIsXno9kaOrXPtmwZLb/4Bf59+7BOmRKXuQghuq/lzbcwZWVhX3Ju2GDMjOoaNLAjJyfk/tyWZjTBT/BDXK6YBmMSKypIaGyk+vzzQg8IBLCXlVM/f37MrjmIfKW1Dv/uLQKl1KAJxgghhBAA2pzAv62tYGt5KwB2ZyWBTf+N8rX28cxEOErWn39j3rx5evPmzX09jX4n3v9G9u/f3/maLS3oW1fAtddiujnMUqV169FPPYX62WOoGaG7jPRkmVK7HLeb/3OgiFUjRrA5K/OEfbm5ufz4xz/GaGqi7sqrsN94I0n33N2j6x1PasaI/iaerwdOpzP6oG7wl5ZScfU1pN55J2n33M13v/vdTsuUlNZ8Z+s2aux23pzaOZBqMgy+v7mQ3dlZzDpWzbpRo/gyt3OBX5vNdkrLlIas+Rs5mzax918eJBCi5lRiWRkTfvNbSm+4ngsffbTb5++OeP5/VUoVaq0jVFDu9vk+AV7UWv+hL47vT+S9ixDxV1BQQGpqal9PQ4iwnN4Aj6ypYNexYIfGmcMS+cmFI3BYpV/PqZoyZUpM37uEIn87ol9SyckwcSJs3Rp+0FlngsOB/vjjuM6l2majzmplcoTuTqbUVKxz5uBdv14KbArRT7S89RaYTCRfc3XYMWMaG0n1etkxJHRWTHZrK1bD4EhqGs0JVrJaY/h0SWvSdu/GmTcmZCAGwHG0BADX6NGxu+4goLU+vyeBlJ4eL4QQQvQXTZ4AD60u7wjE5Oc6eOwiCcQMBPI3JPotNXcOFBWhm5pC77fZYNE58OlnaFcc0++UYl9qKuNaWrAaRthhCUuWECgpIXDoUPzmIoToEqOlhZZ3V2FfuhRzmOVHADOrq2m1WCjKyAi5f3hbJ6Py5CRq7faYBmNsx6qx1dTQNG162DGOo0fxpqXhT0uL2XWFEEIIMTjUt/r5lw/K2F/jAeDs0UmsvGA4iRb5mD8QyN+S6L9mzwatYceOsEPUBReAxwOffRrXqexLTcGqNeNDtOFuZ1u8CJTCu35DXOcihIiu+bXX0M3NpN62IuyYRL+fiXX17MrOIhCm7tSIFicui4VGm43aRDtZ7tbg61IMpO7ehVaKpmlTw45xlJTQOmpUTK53OlJKpSilLlJKndPXcxFCCCFiqdrp54H3yzhU7wXgvHHJ/Pj8YSSYpUzAQCHBGNF/TZwISUnoSEuVJk+G3Fz02vguVTqclESrPRKDSgAAIABJREFUycTkMFk6AKasLCwzZuBZvz6ucxFCRBaor6f5tT9iv/BCEiIU1J5WU4NF67CFeyGYGVORnAxKUWtPxBYwSPb5YjLPtF27cY0ahT9Mu2xLYyMJjY24RkswJhql1N8rpdYqpTKP2zYD2At8CGxQSq1TSsWwFZYQQgjRNyqafdz/fimlTcH3JJdMTOVfFg/FYpJAzEAiwRjRbymzGWbOhK3bwtZhUUqhli6F3bvRba1n48FQiqKUFCY1t6AiPBW3LTmXQHExgdLSuM1FCBFZ04svod1u0r4TvpUqwMxj1VQkJVEdpl5LQiBAdmsr5cnB/bV2O0BMliol1NaSWFVF0/TO3eLaOUra6sWMknoxXXAzkKa1rjtu25PAMOBNYD2wGIhdhXUhhBCiDxxt8PLA+6VUtfgBuGpqGv98Tg5mCcQMOBKMEf2amjsHamuhJEJw4/zzwGSKeyHfvakppPj95Eb4IJawZAkAHlmqJESf8FdW0vLWWyRdfjnWvLyw44Y4nQx1ufg6QlbMsJYWFAQzY4C6tmBMZgyCMam7dgHQNC1yMMawWHAPG9rj650GJgMdaZRtGTIXAC9rrW/QWi8FtgG39NH8hBBCiB47WOfhwQ/KqHEFALh+RjrfXZiNSTqYDkgSjBH92+zZwd+3hV+qpLKyguM+/gQdCMRtKgdSUggAk5vCd1UyDx2KZcoUvLJUSYg+0fTCC6A1qXffFXHczGPV+JVid3ZW2DHDW4KttivaMmdarFY8ZjNZre4ezzN1925cuSPwpaeHHeM4WkJrbi7aYunx9U4D2UDVcV+fDSjgz8dtWw+M7c1JCSGEELGyr9rNgx+U0eAOft65bW4mfz8vGyWBmAFLgjHi/7N33/FV1ffjx1+fO7P3nhBA9kYE2VMcqBWr1oF119H2S2vVWlSwavur26oViq1b6xZRhhhARlRA9l6BkEV2btZd5/P744YI5K4EbkLC5/l43Afkns85531Dwr3nfT6f9/usJhISXDVhNm32Pm7SRCgthW3bAhZLg17PkdBQelo8140BMI0bi2PXLpzFxV7HKYpyZtkPH6b2y0WEXT0DQ1KSx3F6TaNPaSl7Y2Kwekl0JNfWUB5kpsFodD0hBGVBQae9TMlYWUlIfoHXWTHCbieosFDVi/FfJRBzwtfjAAmcWN3dAYS0ZVCKoiiKciZsL67noaX51NhcnV3vGh7H9QNjfOylnO1UMkY5+w0eDNu3I202z2OGD4ewsIAX8t0THk5Sg5UoL7GYx7qWKtlWrw5oLIqinKzqtXkIk4mIW27xOu688gqCnU62JnheogSQUlNDYWjYSc+difbWETt3AlDd13NL6+CCAnROJ3Wqk5K/dgOXCSEihBChwLXARill5QljMoGidolOURRFUVrpp4I6Hl5aQJ1dIoDfjYznqr6eZ9YqHYdKxihnPTF4ENhssHOX5zEmE4wZA99/j/TSfvp07Y5wdT3xulQpIx19VlesK9VSJUVpK7bde6j/5hvCr/8V+hjvd4r6lxyjymTicESExzFhNhvhNntTvZjjyoKDCbfbMTkcrY41YsdOGhITscV6XiL1c/FelYzx08tAGnAEyAVSgfnHNwohdMAoIHDTJ0+DECJZCPGmEKJECNEghNgphBjX3nEpiqIo7ev7I7U8urwQq1OiE3D/mAQu7RXZ3mEpZ4hKxihnv379wGDw3uIaEBdNBZsN+fHHAQul3GymxGyml8+lSuNwbN2KVl7udZyiKGdG1b/+hS4igvAbvddnjbBa6VJVzbaEePCyxjq5MalbGHZyp6XyYFdn5NiG1tWNMVgshOTlUeVliRK46sVYY2JwnpIMUtyTUn4M3I9r5ksZMEdK+foJQ6YCicDydgjPKyFEFK7lVAK4FOgN/BY41p5xKYqiKO1r1SELj2cXYndK9AIeHp/E5O6ebyQpHY9KxihnPREUBH16w2YfdWO6doVJk+DLRcj8/IDFszs8nMzaOsxeigWbx44DKbGtWROwOBRFcbFu3kzD2rWEz5yJLjzc69h+JSUAXrsogSsZ4xSC4lPaXpedZkeliJ27EFJ6bWmNlATn5alZMS0kpXxOStmr8fHXU7YtkVIapZQvt1d8XjwAFEopZ0opf5RSHpJSfiul9Dwd9Bx34403IoTg6FEvnRYVRVE6sG/2VfP3VcU4JRj1gscmJTOmi7pB09l0mmSMEOL/CSG+FULkCSHqhRDlQohNQojHhBCe54IrHYIYNBhyc5E+ZpqImTeByYR8/T+ndT6DpmHykGzZExGOQUq6Wzwvh9J3y0KXlqqWKilKgEkpqXz5FXSxsYRdd62vwfQvKeVwZATVZrPXoSk1tRwLCcGpO/ltstJsxilEq+vGRG7fjjU2FmtCgscxxooKjDU11GVktOocypklhLhaCPFPIcRqIUS1EEIKId7xsU+aEOI/QogCIYRVCJErhHhBCBHtZviVwA9CiP8JIY4JITYLIe4TbdQeY+PGjQghGDFihNvt7733HkIIhBAcOnSo2fb6+nqCgoIICQnBarUGOlxFUZRO78vdVTyz5hiaBLNB8NfJyVyQHup7R6XD6TTJGGAWEAp8A7wIvIurc8IcYKsQQt1i7MgGH29x7WN2TFQU4tprYONG5IYNrT7dNUfyuPlQrttteSEh1Or1XrsqCSEwjxuH/aef0Cye68soinJ6GnJysG3eTMTtt6ELCvI6tovFQpTVytZ4z4kQACElSbU1zZYoAWg6HRVB5la1tw45fJjQ3Fwqhg31ukQq5EhjvRjVSckjIUSIEKLVPb9buP9s4D5gEOBz2qUQohuwEbgF+BF4HjgI/B7IcXODKAu4p3HMRbg+w/wduNfP+E7L4MGDiY6OZsOGDVRXN39fy87Obmqbmp3dvEj+2rVrsVqtjB49GrOPJKeiKIri3cfbK3g5xzWLN8So429TUxicohoBtqXw3CVkfXE5Q5N1QwN9rs6UjImQUo6QUt4qpXxISvlbKeX5wFNACvDndo5POR1dukBkpM8W1wBceqmrHfaC19FrWotPFWO10stiIb2+nkg3XZOkEOwND+c8Sw3Cy/FNY8eC04lt7VqPYxRFaT2paVS98ir61BTCrrzS5/gBJaU06PXsjXE3OeFnMfX1mJ1as+K9x5UFtaKjkpQkLl+OPSyMsuHDvQ4NycvDaTZ7nT2jYOH03tdbsv8s4DwgArjbj/GvAgnA76SUVzZ+JpmIKynTE3jylPE64Ccp5Z+llJuklP8FXqKNkjE6nY7x48fjdDpZtar5bM7s7GzGjx9PbGys22TM8ecmTZoU8FgVRVE6Kykl72wu59/rywAIN+v4x7QU+iYGt3Nk55bw3CUk/fgUxrq2ab7YaZIxUkpPtyk/bPyzR1vFopx5QqdzzY7ZvBnpI8EijEbE7bdBYSGjKyu9jnVnWHkFx8/Qw8NSpD0R4YQ4nSR5Ob6hd290CfHY3Hy4VRTl9NVnZ2Pfs4fIO+9CGI1ex2rV1fSqqGBHXFyzpUenSqmpBaDAQzKmPDiYKKsVXQuSvWEHDhCae5iS8eOQJpPXsSFHjlCflgo+4jzHicZHwPeXUq6QUu6TUkqfBxUiC1ex4FzglVM2PwbUAjc1tt8+rhDYecrYXUCbrVM7nkg5NdmSm5vLoUOHmDRpEuPGjWPFihXN9vWUjHn33XcZP348UVFRBAUF0adPH5566ilsbm5yAOzcuZOZM2eSlpaGyWQiKSmJG264gX379vn9OjZt2kRycjKRkZFuE0eKoihnm+wD1dz0YS7T3jjA25tc5Riig/U8PS2VHnHeZ/wqZ178llfROVvXpKE1Wj3FtwOZ3vjn1naNQjltYvBg5MpVcOgQdOvmfeyQIcjzz2fShg1sj4ujxseF2nEGTWNwRQW7IiJIbqinp8XChtjmbXL3h4XhEILMYyWeYxAC09ixNCz8EllXhwhRUwwV5UyRDgdV/3oNQ1YWIdMu8jm+btkyDFK6uij5kFxTg1Wvp9zDsqey4CD0UhJltVIe7McdKylJWL4cW1QUFUO9z3jVWa0EFRdTMk51NfbD9UKIYa3c12dipZUmNv65TEp5UrZOSmkRQqzFlawZAXzbuGktrhkzJzoPOBygGJuZONEV9rfffnvS88e/njhxIpGRkXz66afs3LmTPo3dwKqrq9mwYQNRUVEMGTKkab+bb76Zt956i4yMDK6++moiIyNZt24df/nLX8jOzmbp0qXo9fqm8V999RVXX301TqeT6dOn061bN/Ly8vjkk0/46quvWLVqFQMHDvT6GpYtW8bVV19NREQEq1evZsCAAWfke6MoihIo2QeqeWFtCVbnyW9JM/pG0jVGLftsD4Y2mhHTdL42PVsbEELcD4QBkcAwYDSuRMzf2zMu5QwY1Fg3ZtMmn8kYAHHbreg3bGBKUTGfpaf5dYo+VdWEOp2sj42hZ7WFYeXlGDUN+yl3qG16PYdCQ8k85r3zqHncOBo+/gTripUEXXqJXzEoiuJb7Vdf4zh8mNhnnkaccFHnSc3ChRSFBDfrjuROck0NhaGhHuu6HO+oFFtf71cyJnzXLkLyCzj6i18gDd7fdoPz8xFSqnox/jmv8XE2OZ5U2eth+z5cyZjz+DkZ8zywTgjxF+B/wGDgd8DDAYzzJL179yYlJYXt27dTUlJCfGO3sezsbMLCwjj//POJiIhoeu54MmbVqlU4nU4mTJiArvF9csGCBbz11lv88pe/5K233iLohKTmI488whNPPMFrr73Gvfe6VmGVlZVxww03EBYWxurVq+nVq1fT+K1btzJy5Ehuv/121q9f7zH+N998kzvuuIPzzjuPxYsXk646kSmK0gH8d2N5s0QMwMJd1fyyf/ObwUpghRT92Obn7IxzoO/HNRX4/3AlYpYAU6WUbqcwCCHuFEJsEEJsKCnxPMtBaX8iKgq6dvWvbgwgkpNZHRXF4MpK0mvr/Nrn/PJyykwmDoWGsjc8HKOUdG1csnCqPRHhRNXV4ThyxOPxDAMGYOjVi9p581QhX0U5Q6TVSvX8+Zj69iXYjxkktn37sO/cxda4OJ9jDZpGQl2dxyVKQFMCxq+6MZpG4rfZWOPiqBzo+059SOP/J3Vp/iWQz2HhZ+DxtwDEFdn4Z5WH7cefjzr+hJRyPa6OStcA23HVlHkEV+0ZtwLx2WXChAlIKU9airRixQrGjBmDwWCgb9++JCQknLT8x90SpRdffBGTycSCBQtOSsQAPPbYY0RFRfHuu+82PffGG29QVVXFE088cVIiBmDAgAHceuutbNiwgb173ee3nnzySX79619z4YUXsmbNGpWIURSlQ3BokmO1DrfbSjw8rwROaP5qUlf9AUHgps660+lmxkgpkwCEEInAhbhmxGwSQlwmpfzJzfj5wHyAYcOGteX3Xmnkaf24O7pBAxELv8RWfAyio3yO/wjJ+UCvI0dYHex93WWQlGTW1fGJycShw4fJk5JrgLSCfJaVN9+3WtO4BMh99V+UXnmFx+Oapl1E+osvcfDJp7yOa7afyRTQgohSSgw+7tIrHY8fZS1Oi9PpJFAdd/fs2ePXsfVr1mAqLqbull9T5auehJSYnnkGncnEoupqKsrLvQ6P0jR0QFlJCdur3V9Px2gaTqC6qJjtFRUAdO/enbq65knf2O07CDp2jP1XXkGdH21/Q/bspS4hnhop4YTj6fX6gP/btlEn5TNCSuk+S372O/5NPukfU0r5FfCVvwcJxGeXSZMm8e6775Kdnc0111zDrl27KCwsZNasWU1jxo8fzzfffIOmaeh0uqZkzOTJkwGwWCxs376dxMREnnvuObfnCQoKYteuXU1f5+TkAK56L3PmzGk2fv/+/QDs2rWL8847eSLUb3/7Wz7//HOuueYa3nrrLdXNSVGUDsHm0HhyZbHH7fGh6vN5Wwo/8g3J6x5FSCdS6KnofhXh+auB/QE/d6f9l5ZSFgOfCSF+wjVd+C2gX/tG1TEF+gN6Nz+WHB1nnzmTgs8+J27rFiJvvdXn+MjERAptNro4NdJ83GmOsNth/wFETAxpjYmevfkFnF9by/LUVDQ334etFRUMzMmhcsQF2BMT3R7XmpJC9fDhRObkUDlyBHY/O6RomtahLo6Uc4MQImA/l/4eW5/zPTI2Ftm/v8/x+pWr0G/ajP3mmRS++y5GH/WjyoAcvY6pdjtLdTrKdc2Pf6XNjgZ8o9PhdDqbnr/oopNr10iHg+q33kZ068aw3/3OVYjcC+fRfKqPHiX4zjubHQs6VrLkHHY8gxfpYXvEKePOGseT/8frxJxYL+a48ePH8+GHH7Jp0yYyMzPZtm0bqamp9OzpWp1V3pjsLC4uZu7cuR7PdeKNgLIyV+eQefPmeY2vpqZ5Qf3vvvsOgOnTp6tEjKIoHUKDQ2Put4X8VOCaXXvqTAyzXnDLULVEqa1EHFxE0o9PIKSGpjNRMPpv1KaOoWTYn9j4YK+NgT5/Z1ymdBIp5WFcXQr6CiF8z1FXzmrGzEzMw4Zh+fQzn12Vjis1mYi32cDHXWVT4/HsJ1x8bQ8PJ9TppIubO94AazMy0Ewm4hd5v6FZdtFUNJORuK++9itmRVE8qKlBt3UrzpEjfHcbKinB8PbbOPv0wTl1qt+neN9gRADXOezNtqVqGuOcTr7R6yl1k6g5kW3JUrT8fIJuu81nIgbAtmwp6HSYpkz2O1blrLOn8U9PtWyOd3b0VFOm3WRkZNCtWzf2799PXl4e2dnZREVFMXjw4KYxEyZMAFzLk7Kzs5FSnjSDMzLSlYM6//zzkVJ6fNjt9mb77Nixw+s+N9xwQ7OYFy5cSFZWFjfffDP//e9/A/J9URRFOVNqbRp/WVbQlIjplxjE7y+MJyHUgAASQg3836h4JnaL8H4g5YyI2vcxyT887krE6IPIH/cctalj2jSGTp+MaZTS+KfT6yilQwi/egbOggIacr73a3yJyUyQphHu8L7+0qS5kjW2Ey6a9oSFYhWC/tXu673UG42UT55E6J49hOze7fHYzrAwKiZOJGzXLoJb0KZTUZST6X/4EeF04rzwQu8DpcQ4fz5IieM3d7WoTXSpTrDYoGe0U6PbKUnfa+0OGoAvjN4nlkqbjfq33kLfuzfGkSN8nlNqGralyzAMHYou3nfHJ+WsdbzgylQhxEk/dEKIcGAUUA/49wbWxo4nVpYvX86qVasYN25cU2FegF69epGcnNyUjDlxH4CoqCh69uzJtm3bqKys9OucI0a4fj9Wr17d4ngzMzP57rvv6NGjB7fddhuvvfZai4+hKIrSFqqtTv68NJ/txa62yUNSgnlyagoX94zk7Wu6sOSW7rx9TReViGkj0bveIXHDPwBwGkM5OuEl6pKGt3kcnSIZI4ToJYRIcvO8TgjxJJAArJNSVrR9dMqZFjJhArqYGCyffuLX+GNmE4BrdowXpsYupCcmYxw6HXvCwuhrsSA8zKypvPBCbHFxxC9aBE7P+b7KUaOwR0cT/+Ui8HNWj6IoJ9Pl5KAlJSG7dPE6TuzejX77DhzXXotsRXLjC4OBSuBGu71pVl0Pp8YwTeNLgwGLjyVD1kWLkMeOEXzbbX4tL3Js2YJWXIzZjzbdytlLSnkAWAZ0Ae49ZfNcIBR462yteXN8SdLzzz9PeXl500yYE40fP57Vq1ezbNkygGa1zf7whz/Q0NDAbbfdRlVV89VY5eXlbNq0qenr2267jYiICB599FE2bNjQbLzT6WTlypUeY05NTWXVqlX07duXu+++mxdeeMGv16ooitJWKusdPLgknz2lrtpxI9JDmTspmSBDp7gU71ikJHbbv0nY/BIATlMEeRNeoT5+ULuE01lqxkwDnhZCfAccwLXsPxEYB2QBRcAd7ReeciYJo5Gwy6dT/fY7OI4dw+CjBkuJyZWMSbDaOOilra2xMUFiO/lmJtsjwhlgsdClrp5DoSHNdzQYKL3sUlLeeJPI77+natQot8eXRiOll15C8jvvErF+PdUXXOA1bkVRTlFRgW7nTpy/uNJj2+njDF8vRoaF4ZzY/GLSHw1C8KHRwJ12Bxc4NX7Q6/iVw04FsMTgvZW2bGig4e13MAwahGHoEL/OZ1uyBEJDMY4e3ap4lcARQlyJq9sRwPEbPyOFEG80/r1USnn/CbvcA6wDXhJCTAJ2ARcAE3AtT/pLwINupYkTJyKEYNu2bU1fn2rChAm8//77HDp0iJ49e5KamnrS9jvvvJONGzcyf/58Vq1axdSpU8nIyKC8vJyDBw+yevVq7rjjDl5++WUA4uPj+eijj5gxYwbDhw9n8uTJ9OnTByEEeXl5rF27FovF4rZmzHGJiYmsXLmSKVOmMGvWLKxWKw8++OAZ/M4oiqK0Tmmtg4eW5pNX5VqeOa5rGA+MTcTgY6mzEgBSEr/5n8TsfgcAR1AMeRNexhbVvd1C6izJmOW4ugqMAgbiahlZi+tDz9vAS1JK7y00lA4l7Be/oPqNN6n5/HOi7rzT61iLwUCDTke8zXsnE3c1YwD2hIVhE4J+lmr3yRigtndv6np0J3bZN1gGD0YLcT+upn9/6rt0IXbpMmoGDkQL8t7hSVGUn+l/+AEhJc6RI72OE8XF6DZuxHnFFdCYjG2NVXo9Ux1OfuVwIIWBXprkdaMBq69ZMZ9/jqyoIPjxuX7NipF1ddhWfYdpymSEKkJ6NhoE3HzKc1mND4DDQFMyRkp5QAgxDHgc182iS4BC4CVg7tn8eSQ+Pp7+/fuzdetW4uLi6Neved+DE2fLeOr4N2/ePC699FLmzZvHN998Q2VlJbGxsWRmZvLAAw9w4403njR+6tSpbNmyhWeeeYZly5bx3XffYTabSU5OZurUqcyYMcNn7LGxsWRnZzNt2jQeeughGhoaeOyxx1r4HVAURTlziix2HlqaT6HFVSphSvdwZo1KQK8SMW1PaiRsfJbofR8BYA9JIG/CK9gjMts1rE6RjJFSbqf5dGClEzOmpxM0YgQ1n31O5K23Iry1aBaCEpOJOF/LlNzUjAGw63TsDQujb7WFRYmJSHcXV0JQctllZLzwIjHfLKf0iss9xzL9MjL++TLRK1ZQdvHFXmNSFOVn+nU5aBkZSB+d0fRLl4FOh2PKlNM6nxSCd4wGZtvs/J/NTqEQrNT7mBVTW0vDe+9juOACDP37+3Ue26rvoKEBs5sOSkr7k1LOAea0cJ884JZAxBNoW7Zs8bq9e/fufrVZv/zyy7n8cg/vhW5kZWXx6quv+jX2nXfe4Z133mn2fFRUFN9/f1aW41EU5RxztMrGg0sKKK1zJWKm94rknhFx6FRnxLanOUn68UkiDy0CwBaaQt7EV3GEpfjYMfDUQjWlwwqfMQNncTH1a9f5HFtiNpFg9ZWMaV4z5rjt4eFEOJ1k1Nd73N+WnEzViAuIysnBWFzscZw1PZ3qIYOJWr0GQ/lZe4NUUc4qoqQE3b59vgv31tWhX7kSbeRIiIk+7fPu1OvJbfzg9KHRgNPHh6iGjz9GVlcTfKv/1+G2JUvQpaWh79v3tGJVQAjRXQgxWwjxrhDi8xOeTxNCXCKEUJURFUVRlIDKrbBy/+L8pkTML/tFca9KxLQPzUFyzqNNiRhrRBfyJs8/KxIx0ElmxijnpuCxY9DHxVLzySeEjBvrdWyJycyQqmpMTic2D3e23RXwPW53WCj2xq5Khz0sQQIonzKF8E2biV/0FQW33epxXNm0aYRt207c4sUUuWnXqSjKyXQ5OQBoPjoT6VeuQtTX47h42hk796NmExLf7fi06moaPvwI45gxGHr29OvYzsJCHFu2uNpfqw9pp0UI8QDwBD9/tjlx+kYw8CVwH/CvNg4toDZu3OjxZ2fevHnc2biUd/78+dx1110ej3PibJehQ4fy008/uR13xx13MH/+/KZzDxs2zOMxN2zYwNChQwFXLZl///vfbscNGTKEjRs3Nn3t7XdBvSb1mqDtX9PQoUOZOXMmFzXOYFy6dCmvvPKKx/MvXLiw6e+zZs3iwIEDbsdddNFF3Huva3L/gQMHmDVrlsdjPv/883Tr1g2AV155haVLl7od161bN55//vmmr73NULv33nvVa2p0pl7TrMef45WdOixW13WFfucSvvhsGQtPGdeRXlNH/Xd68I//x4ujKumZ5ipVsbvCwC2f1lI+73a/X1OgqZkxSocljEbCrryS+rVrcRQUeh3rT0elppoxbt6IbXo9+0JDvXZVAlcLa39aXTuioqgYN5bwLVsJys31GruiKI1LlLp3R3or2K1p6JcuQevZE5mV5XlcCzmEcM2I8VUr5oP/QV0dwbe0YFbM0mUgBOapp7ek6lwnhPgF8HdchXNHA8+euF1KuQ/YBFzR9tEpiqIo5wItpgsvbKUpEdPHtgfDnmWoWy1tT+9s4F9jK5jYmIjZWmZkZnYM5Vbvy83bmvBn3e+5YtiwYdJdW0UlsOrq6lq9r6OgkPzp04m87Vai7rmn2fbrr78eIQTxViuzDh7iw5RkNkdGuj3WtOJjjKioYE4v93e0B1ZVcW1BIf/KzCQvJBiAmJgYrrjilM/2DgeZzz0POsHhWbPAw0wcYbPR5R9P44iMJO/ee+CUGTlGo5GpU6f6+ha0mpQSvY/6F6dL3elve4H+P13TtID9u27evNntsUV+Pub7/4R95k04vdRZ0q1fj+m557HN+j+04cObbb/pppswGo1nNObjhmRlcf+Bg5hGjyJ09my/9pGaRvUNN6JLSSH82Wd8jk9MTDzdML0K5O+rEGKjlNLzbezTP/53QBrQR0rZIIR4DHhUSqk/YcybwFgpZddAxdEe1GcXRQm89evXExGhVjkqnm0uqOPRbwuxOlyfw+4bEc/03u6vOZTA0tlrSF01i5ASVw20uvhB5I97Ds0Y1qLj9OrVK6CfXUDNjFE6OENKMsGjLqTm8y+QdrvHcWUmE04g3kvdGJOmYXf1BjCcAAAgAElEQVSzROm43WFhOBq7KnkPytXq2nSshEgvhQSlyUTptGkE5eURvtl7wURFOZfpc3KQQuC8wPsSJcPXi9Hi49G8TF0PlNHFx8BmI+jXv/Z7H8e2bWiFhZhU4d4zYRCwWErZ4GVMARDYjJaiKIpyzvkhr5bZy12JGJ2A+0cnqERMO9FZq0jLvq8pEVObdAFHx7/U4kRMW1HJGKXDC5sxA2dpKfWrV3scowlBmclEgpf21iapYfPSas6q17MvNIR+1RbwMfvgxFbXOi8zfyxDBtOQmkrs4sUIH92eFOWcJCW6nBy03r29FuQVhw6h270b50VTm80yC7QYTTKsrAzTtGnofXR6OpFtyRIICcE0ZnQAoztn6AFf/4nG+TFGURRFUfy2OreGx7MLsTslegEPjUtkSg81i6o96BvKSc++m+DynQBYUseSP/ZZpCGonSPzTCVjlA4veNQo9ImJWD751Ou4EpPJx8wYiU14/5XYHh5BtMNBWoO3m680tbrWNTQQ881yz+N0OkqmX4axqoooL8kkRTlXidzD6AoK0S4c6XWcYfFiZFAQzgkT2iiyn/3C4UAAQTNv8nsfWV+PbeUqTOPHIYKDAxfcueMA4HHqlHCtwboQ2NVmESmKoiid2vL91Ty1sgiHBkYdPDoxmXFdw9s7rHOSoe4Y6cvvIqhyPwDVGVMoGP13pN7UzpF5p5IxSocnDAbCrryShpwc7EePehxXYjYTY7Oh8zCrxahpbjspnWhXeBgOcM2O8cHfVtcNWVnU9OtHzIqV6Kt8LIFSlHOMPicHqdfjdFMDpklFBbp1OTjHjwMv3c4CIUHTGOd0sjE2Bn1Skt/72Vavhvp6TNPOXNenc9zHwHAhxG88bP8/oBfwv7YLSVEURemsvt5TxTOrj6FJMOsFcyenMCIjtL3DOicZa/JJX34nZsthAKq6Tqdw5OOgO/sbR6tkjNIphF15Beh01Hz2mccxJSYTBiDGw3Igs4+aMQANej0HQkPpZ/G9VAlcra41k4n4L7/0Or700ksQTiex7dRWTVHOSlKiz8lB698fwj3faTIsXw6ahrMdEhszHA40YHULi+valixBl5KCoX//wAR27nkW2A28IoT4FpgEIISY0/j1M8Bm4NX2C1FRFEXpDD7dUcmL60qQQIhR8OTUFIamtu3NIMXFWH2Y9OV3YaotAKCixy8puuAvoDu7uiZ5opIxSqdgSEwkeMwYar5Y6LGQb4mP9taumTG+u4lsjwgnxm4npcFz/ZnjnGFhlE2dSujefYTu9Dw73h4bS+WoC4nYuBHz0Xyfx1WUc4HYtw9RWorT2xIlmw39N8vRhg5BBrjb0KlSNY1RTo1lBj01LejS5CwqwrFpM6aLpqqOY2eIlLIWGAd8BozH1d5aAI8CE4DPgSlSSlUzRlEURWm197aUM+/HUgDCTDr+flEq/ZPUcuP2YK7YR8byuzDWHwOgrPdNHBt6P/goO3E26TiRKooPYVdeiVZeTsP69W63l5gakzEe6saYpO+aMQA7w8Nxgu+uSo2qRo7AmphI3JdfIrx0fCqfNAlnSAhxixb5NetGUTo7/bocpNGINnSo5zFr1yIsFq8trwNlhsOBFfjS0LJpsLZl34CUmKaqLkpnkpSyVEp5NZAB/BL4DfAroKuUcoaUsrxdA1QURVE6LCkl/9lYxps/ud5KooL0PH1xKj3jz97isJ2ZuWwn6dl3Y7C6/j1K+99F6cD7oIPd5FLJGKXTCBp+PhgMNKzf4Ha7Va+nymAg3kNHJZMfNWMA6huXKvX3o6sSAHo9JZdfjqm83GuRXi04mPIpUwg5eJDQHTt9H1dROjNNQ//992iDB3uuAyMl+q8Xo2VmurottaFMTWOEU2OxQY+lBW/8UkpsS5diGDQIfbL/NWYU/0kp86WUn0gp50sp/yelPNzeMSmKoigdlyYlr/1Qyv+2VgAQG+JKxGTFmNs5snNTcMlm0rPvRW9z3Rg/Nuj3lPW7rcMlYkAlY5RORBccjLl/f48zYwBKvXRU8jcZA7A9PJxYu534Ws9tq09U36O7q0jvt9kYKis9jqu6YDjWhATivvoKHA6/jq0onZFu505EVZXXJUq67dvRHT2K4+KLm78BNzRg+tMDGF95FWpqznh8v7Q7qAG+buGsGOf27Wj5+ZimqVkxiqIoinK2c2qSF9eV8PmuKgASwww8e0kaGVFnd5eeziqk6EfSVvwOvaMWgKJhD1LR+4Z2jqr1VDJG6VSCzj8f2+7dOKvdLyE6ZjaRYLO5ndHib80YcHVVcgI9y0r9jq3ksktBSuK+Xux5kF5P6WWXYiorI2LNGr+PrSidjW5dDjIoyDUzxgP94iXIiAi3ba/1q1ejO3oU3dq1mB94ELF37xmLrYdTY4imschgoK6Fd2GsS5ZCUBCmsePOWDyKixDCKIS4RQjxohDiEyHEQjePL9o7TkVRFKVjcGiSp1cXs2Sv67oiLcLIs5ekkRzuf5045cwJzV9N6qo/oHM2IIWOwhGPUdVjRnuHdVpUMkbpVIKGDQVNw7pli9vtxWYzQZpG9Km1W6TEqdMR7NT8Ok+twcCesDCGFhT6XXDXERND5ZgxhG3ZgqGiwuO4ul69qOvejYiVq5BOp1/HVpROpboa/bp1OC8YDib3d57E4SPoN23CMXUquCmeq9t/ABkRgf3hhxEVFehzcs5IaEYpuc1upwJYamhZpX7nkSPYli3DNHkSIkQV+zuThBC9gP3AAuC3wC+Ayzw8FEVRFMUrm1Py1IoiVhx0za7tEmXimUtSiQ89+9sld0ZhR5aTuvoBdJoNKfQUXPgE1V0vbe+wTptKxiidiqlPH9DpsG3f4Xb74WDXBVBmff3JG4TgcHAwXer8W3YE8FlyEvUGA8lvvYneYvFrn6oRFyCkJGLjRh/jRmCoqqLu++/9jkdROgvD11+DzYZz+nTPYz77DBkcjPOiqW63y9gYsFgQhw4C4DxDM1F+6XCQISXzTUasLawVU/fCCwiTieBbbz0jsSgneRFIB54G+gHRQLibR0R7BagoiqJ0DA0OjbnfFrL2iGspzHlxZp6+OJXoYJWIaQ8RBxeRsm42QjrRdCbyx/yDmozJ7R3WGaF+opR2p2n+zUbxS1AQxqwsrDu2o2ka1dXVJx2/UkrqhCC5opIVp5x3pxBcabNhLyujxo/aMRXAuxnp3H7wEOYXX+LjAf3R/NhvRlQkEd+tZlF9vcdCU3pN4y6TiZIP/kd9z54+j9la8fHxATu2lBKdnzV4ziVSyoC2M9Y0LaDHt1gsATv+kiVL0NXVcclXX3M0I50fNm2CTZuajYuorGTKDz+wu19fdqxc6fZYXQoLGSYlhvfepzQ+npU7tlNbW3ta8Q0QOi4xGlmkOVllaThpW11dHQ4vdZ7s32bj+GkT5t/9Di0iAk3VhDrTRgNfSCkfau9AFEVRlI6rzq7x2PJCtha5btz2TQjir1OSCTW1bDascmZE7fuYxA3/AEDTB5E/9hnqkoa3c1RnjkrGKO0uxFOnlNYeb+BALMuXExwczA033NDswtH68ScMrarCMHPmSc+H5efDu+9x+8iRlPuZAHnvvff4LC2Va47kMWrnTr5MTfVZyXt9eDgzKquIzM/ncFiYx3H7kpPot2YNsqYGXXi4X/G0VCAv2pX2IYQI6L9rII9fWVnJ8F27MTocbOrRg/pTZ7A1GrplKw6Dga2Zmdg8jClvXLokgJ1du1BfX0+PHj1IT09vVWxmh4ObN22mUqfjwKCBTNSf/KEsOjqahIQEt/s6q6vJmz8fc7++pN7ya4S+dR/o1O+rV3W4likpiqIoSqvUWJ3M/qaAXSWuzquDkoOZOymZIKO6udgeone9S8LmFwFwGkPJH/c89fGD2jmqM0v9ZCmdTtCA/mhVVdjz8txur05LJaSsDMMpF3G1SUk4DQYi8o626Hw7oqL4Lj6eYeUVnF9W7nP8rshIGnQ6Bld47qoEsDc1FWw2bNnZLYpHUTqqxLIyeu/bx/7MTKoi3K8mibBY6HL0KHuysrCZPbeUrD0hyXskJeW0Y5t48BBhNhtfn9cDewuTKeX/fBlnRQXxsx9pdSJG8WkVMKS9g1AURVE6psoGJw8syW9KxAxPC+Gvk1Uipl1ISez2BT8nYkwR5E14pdMlYkAlY5ROKKh/fwAatm51u92SmgZAeP7JhXelXo8lNZUID0kcb7KTEtkTHs7FBQV08dFG167TsSMqkj5VVZi8FOgtjYhAn5WF1Vv3JUXpJLSaGsb8tIma0FDWD+jvcVz/3Xtw6vXs7NHd6/Fqg4PZl5nJhv79kKe5XO680lL6lpSQk55OUQtnqTVs3071hx8Sed11mPv0Pq04FK9mA0OEEPe1dyCKoihKx1JW5+BPi/M5UG4DYEyXMB6dmIzJoC6V25yUxG15mbht8wFwmGM4Muk1rLF92jmwwFA/YUqnY+7eHREcTMO2bW631yQnoen1hLvpglSdnk5oSUmzWTO+SCH4JCOdcrOZaw4fIcpm8zp+U3Q0Zk2jT1WV50FCYL54Go5du3Dk5rYoHkXpaCr/8TShDQ2sPX8YDjfdkQDCa2rokpfHnqyuWL3MigGQOh3fDx3Crh49TiuuYLudyQcPUhQayvfpaS3aVzqdlPz1CfRxccTcd+9pxaF4J6XcjatuzFwhxDYhxJtCiJfcPF5s71gVRVGUs0dxjZ0/fp3PkUrXZ/fJ3cL587hEjHq1NLjNSY2Ejc8Qu+ttAOwhCRyZPA9blPcbcB2ZSsYonY4wGAjq04f6bdvdbpcGAzVJiYTnN1+OVN1YTyL8aMuWKgFY9Xre65KJDsmvcg97nfWSFxJCqcnkc6mSeepU0OuxLlazY5TOq27JEuqXLGHzeedRGhPjcVy/3XvQdDp2nmaCpSUmHDqE2eFkSY/uyBbWbKn+3/+w7dpF3J/uR+elPpRy+oQQicA7uLoo9QVuAu7z8FAURVEU8qtt/PHrfAotdgAu7RnBH8ckoNepREyb05wk/fAE0fs+AsAWmsKRSfOxR2S2c2CBpZIxSqcU1L8/1p07ER4SIpbUNMIKi9DZ7Sc9X5OchGYwEHGk5UuVAMrNZj7KyCChoYErjx5FSOl+oBBsjommS20t0Varx+PpoqMxjhiBdekypOq+onRCjoICKv/fPzANGMBWL0uPwmprycrLY19WVxqCgtoktqzycvqUlPJDWiqloaEt2tdRUkL5y68QfOFIQi+6KEARKid4ARgI/A+4FBgM9HfzGNBeAZ7NjhfmPv4wm83Ex8czZMgQbr/9dhYvXozTyw0GRVGUjia3wsr9X+dTUuv6fH1V3yh+OzIenSqW3/Y0B8k5jxJ5aBEA1ogu5E2ejyPs9Gv+ne1UMkbplIIHDEDabISUlLjdbklLRadphBYVn/S8NBiwpKS0qm7McQfCw/kmOYm+VdWMPXbM47jN0dFowOCKCq/HC7rkYmR5Ofb161sdk6KcjaTTScVjcwBJ9Ny5Xmu79NuzBykEO9poVozJ4WDKgYOUhITwfVrLlicBlD39DNJmI/7hh1UXpLYxFciWUv5KSrlYSrlFSrnD3aO9Az2bPfbYYzz22GM88MADXHfddURFRfH2229zySWXMGLECPbu3dveISqKopy2/WVW/rQ4n/J6V5L5hkHR3Hl+rHq/bgfCaSV1zYNEHPkGgIao7uRNeg1HiPsOlZ2Nam2tdErHi/iGFRZRl5zcbLslNRWAiKNHsZxSB6I6PY20tevQNzTgbOUd+HVxcSTWNzCx+BjFQUHsjoxsHoPRyIHwMAZWVLIiMdHjEgjjiBGIyEisixdjGjmyVfEoytmo5s23sG3ZQvTcORhSPd/9CK2ro9vhI+zt2pX64OA2iW1c7mFCbTa+6NUTrYUFgOtycqhZsoTou+/GmJERoAiVUxiAn9o7iI5uzpw5zZ4rLi7mt7/9LR999BGTJ09mw4YNHtu4K4qinO12Hqtn9jeF1No0AG4dGsu1A6LbOapzk3A0kLr6T4QW/QBAfUwfjo5/Ec3c/Lqps1IzY5ROyZCSjD42lvDCQrfbHcHB1MXGeqwbI3AlalpNCL5MS+VocDBX5R0lrqHB7bBN0dFE2e10ran1fCijEfPUqdjWrkPzVvBXUToQ244dVP/73wRPnULwtGlex/bds9c1K+a889oktvTKKgYWF7MxJaXF3ZM0q5XSJ5/CmJlB1K23BChCxY31QK/2DqIzSkxM5IMPPmD8+PHk5eXx1FNPnbR948aN/P73v2fgwIHExMQQFBREjx49+OMf/0jFKTM/X3vtNYQQPP74427PVVRUhNFopH9/zx3VFEVRWmtLYR1/XlrQlIi554I4lYhpJzp7DWkrf9eUiKmLH8TRiS+fU4kYUMkYpZMSQhA0oD9hRe6TMeBaqhSeXwCadvLzKSloev1pLVUCcOh0fNAlEyElI0vL3I7ZExFBvV7H4Ipyr8cyXzwN7Hasy789rZgU5Wyg1dVR/uij6OPjiXrwQa/TgkPq6uiem8v+zEzqQgI/K8bodHLRgf1UBAWxNiO9xftX/ue/2I8cIe4vf0Hno+OTckY9AkwVQlzW3oF0RjqdjtmzZwPw/vvvI0+oh/bvf/+bDz74gJ49e3LLLbfwm9/8huTkZJ577jlGjRqFxWJpGnvjjTcSERHBggUL3Nag+c9//oPD4eCuu+4K/ItSFOWcsv5oLbO/KaTBIRHAH0YlcEWfqPYO65yks1aRln0fISWbAahNuoCj419CM557zQ5UMkbptIL79ye4rBy9hwK51WlpGKxWQkpLT3r+eN2Y2N17MNR6nrHiD4vRyM7ISPpVVmI4JekDroTNtqgoeldVY/ZSHNHQvTv6Hj2wfv3VSR+CFaUjqnrueZxH84meMwedj5knfffuQwA7erbNrJhRR44Q1WBlafduOPT6Fu1rO3yYigULCJs2jZARIwIUoeLBSGAp8IUQYpEQYq4Q4g/uHu0daEc1evRoDAYDx44dIzc3t+n5P//5zxQUFPDhhx/y7LPP8sILL/Ddd9+xYMECdu3axauvvto0NiwsjJtuuom8vDwWn9IlUErJggULCAkJ4aabbmqrl6Uoyjlg7eEa5nxbiM0p0Ql4cFwiF50X0d5hnZP0DeWkZ99NcPlOACypY8kf+wzS0DbNGc42KhmjdFpB/fsjgNCiIrfbj9eNCc/Pb7btyLixGOrr6f3Jp+hsttOKY1NMNEGaRu+qavfbo6MxSkm/Su9LkIKu+gXOffuxfv75acWjKO2pfsUK6hYuJOzmmzEPGex1bHB9PT1yczmQmUFtSEjAY0u2WBhaUMjmpESOuqnz5JWUlD71FDqzmdg/3R+YABVvngGmAwK4BNdMmWfcPJ5urwA7OrPZTGxsLAAlJxTHz8zMRO8mcXnrrbcSERHB0qVLT3r+7rvvBmDevHknPb9s2TIOHTrEtddeS2RLf/8URVE8yD5g4YkVRTg0MOrgkQlJTMhq2RJk5cww1B0jffldBFXuB6A6YwoFo/+O1J+7M4lVMkbptIL69QMgzEPdGGtkJLawMCKONk/G1KSksO/y6YQWF3PeFws9tsj2x+HQUCqMRo9dkwqCgyk2m30vVbrkEowXDKf2lVdxnHBXUlE6CuexY1Q8+RTG3r2JuPMOn+P77tuHkJLtPXsGPDa9pjFt334sJhPfZWa2eP+uhYXU53xPzG/vwxAfH4AIFR+m+/m4vL0C7AyOz8w8cWmh3W7n5ZdfZvTo0cTExKDX6xFCoNPpqK6uJv+UGx59+/Zl7NixLF68mLwTlgPPnz8fgN/85jdt8EoURTkXLN5bxT++K0aTYNIL5kxO5sLMc28pzNnAWJNP+vI7MVsOA1DVdTqFIx8H3bndT+jcfvVKp6aPjKQ+OtpjEV+EoDo1lXAPhXorunfn4NSpdFu6lKwlSzlwycXQipZ3Ugg2R0cz7tgxIm02qkymZnFsjonmosIi4hoaKPXQwUkIQdhDD1H561uo+esTRL72L4TR2OJ4FKU9SE2jYu7jYLMR/fjjCIP3t5+ghgZ6HDzEwYx0akJDAx7fiLyjxNbX83Gf3th8xHYqk8PBiB07MffpQ8Q11wQoQsUbKeVX7R1DZ9fQ0EB5ueumQfwJCcdrr72Wzz77jKysLK644gqSkpIwN9ZLeuGFF7C6WSp8zz33NC1lmjt3LkVFRSxcuJBBgwYxfPjwtnlBiqJ0ap/vrORfP7hKEQQbBI9PSWFAUtt0ZFROZqw+TPqKezHWHQOgoscvOTb0jyDUvBD1HVA6NUtyMmEFheChzoolPQ2zxYKp2v0SomMDB5A3ahQJO3aQ8d3qVsexOSYaHTCwotLt9q1RUTiBQR62H6eLjSXswQdx7ttH3YLXWx2PorS1mvffx7p+PZF/+APGTN/tnvvs24dO09pkVkx8TS0XHD3Kjvh4cqNb3lVh9JEjBFutxD0yG9HCOjOK0lGsWbMGh8NBYmIiXbp0AWDDhg189tlnTJ48md27d/Pf//6Xv/3tb8yZM4dHH30Um4dlvldddRWJiYm8/vrrOJ1OVbhXUZQz6n9bK5oSMWEmHX+flqoSMe3EXLGPjOV3NSViynrfxLGh96tETCP1XVA6tZrkJEy1tZhqatxur26sG+OtjfXRC0dSNHAgqT/8QNLGn1oVR6XJxMHQUAZVVLhNDNUYjewLD2dgRQU6HwV6TaNHYZ4+nYYPPsC+aVOr4lGUtmTbu5fqV/9F0LhxhFzhe5WI2Wql58FDHMpIxxIW2OnEOk1j2v791BuNrOjapcX7J9bUMKiwiF2ZmQT17XvG41OUs4GmaTz55JMAXH/99U3P79/vWvd/+eWXYzxlpuaPP/5IfX292+MZjUZuv/128vPz+fLLL1mwYAFhYWHccMMNAXoFiqKcC6SUvLGxjP9sdHUxjTTr+Me0VHrFn5vFYdubuWwn6dl3Y7C6ZlWW9r+T0oH3tWqlQWelkjFKp1aTnAx4rhtTFx+Pw2Qi3E3dmCZCcGjKZMq7d6fLt98Ss3tPq2LZFBNNrM1GZm2dx+0RDgdZFveJoxOF3ncvutRUap58Cu2EtqGKcrbRGhqoeOQRdJGRRP3lYa9trI/rs28/eqezTWbFDCsoILG2luVZWTS0cNmfkJIpBw5QbzSysVfgY1V+JoSwCCGqhBDdG7+u9vPhvVK60syxY8e47rrrWLlyJRkZGTz88MNN247PkFm5cmWzfe69916vx73zzjvR6/Xcd999HDp0iOuvv55wH93VFEVRPJFSMu/HUt7f6qrRGBOs55lL0ugWe+4Wh21PwSWbSc++F73Ntfrg2KDfU9bvdpWIOYWqGaN0arXx8Wh6PWEFhZSf56Y1rk5HTWoK4fmeZ8YcH7dv+mX0/vBDenz1FbtCgqnO8L3U4kS7IiNpyC9gUEUFh8Oa18DYFx5OrV7P4IoK9kd4/0AqgoMJf2Q2VffcS+1zzxH26KN+XeQqSlur/uc/cRzKJfafL6GPivI53mS10vPgQXLT0qgO8IVZTF0dFx7JY29sDPviYlu8/8CiIpJqall0Xg9sqn5TW9sDSOB4QZK9jV8rp2HOnDmAayZMZWUlO3bsYM2aNdhsNoYPH867775LXFxc0/jzzz+fUaNG8emnn3LhhRcyevRoiouLWbx4MT179iQlJcXjuTIyMrj00ktZuHAhgFqipChKq2lS8s91JXy913Xhnxhm4O8XpZISod6b20NI0Y+kfnc/OmcDAMXDHqCyx9XtHNXZSSVjlE5NGgzUJiR4nBkDUJ2aRvqaNegbGnB6KJ4LoBmN7LnqKvq+9z49P/2MbTNvalEsdp2OHZGR9KuqYnFKMrZTaks4dTq2Rkdxflk5IQ6Hz+MZevcm+JZbqF+wANvIkZinTm1RPIoSaA05OdR+9DGhv/oVQRdc4Nc+ffftw+BwsC3QM02k5KL9B7Dr9SzPymrx7qE2G6MPH+FwZCS74+JoeaUZ5XRIKYd5+1ppnblz5wJgMpkIDw8nMzOTmTNnMmPGDKZOnYpOd/KEar1ez8KFC5k9ezZff/01L730Eqmpqdx+++3Mnj2bPn36eD3frbfeysKFCxk2bBhDhgwJ2OtSFKXzcmqSZ9cc49sDrpniKeFG/t+0FBLCVCKmLYXnLiF+y6sY6ooAEIAUOoqGz6Y667L2De4sppIxSqdnSU0ladMmdDYb2qmdjIDKrl3IWLOGuJ07KfbxYdARHMyuq2cwZN584nbuanEsG2JjGFpRwaiSUlYkJTbfHhPD8NIyJhUV8ZMf7XWDb7ge+48/UPPscxj69EGfltbimBQlEKSUVL/6L/Tp6UTec7df+wQ3NNBr/wEOZqRTFRER0PiyKipItVhY2q0bdW7+X/BKSi7Zuw+9lCzvlqWm3LYTIcRVwE4p5e72jqWjkz5qlXkTExPDq6++6nZbbm6u1303NdY9U+2sFUVpDbtT8vdVRaw5XAtAZpSJv12UQmyIusRtS+G5S0j68ammmTDgmqpa0X2GSsT4oGrGKJ1eRffu6JxOog4dcru9NjkZS3IyyRt/8th16US2yEjqY2MJKypqcSwFISFsjYrkwpISImz2ZttLg4L4Pi6OYeUVJJZX+Dye0OsJe+QRhMGAZc5cpIfOFYrS1qzrN2Dfs4fwmTMRZv/Wa/c9cBCdprGtV6/ABiclFxzNp9psYkdCvO/xpxien09mVRXZXbtSEay6M7SjjwHVS7yDslgsvPbaa8TExPCrX/2qvcNRFKUDyT5QzY0f5nLZWweaEjHdY808fXGqSsS0g/gtr56UiAHXzJjw/NZ3oj1XqGSM0ulVp6ViDwoiprHrgztFQ4cQXFFB1KFcv45Zk5xEaFGRX8mbUy1PSkIAkzwkc1YkJVJpNDJmxw6kvXnC5lT6xETCHnoI59691M2f3+J4FCUQat5+G11sLCEXT/NrvLOykl65ueSmB76DUlp1NZ3bvnQAACAASURBVKkWC+tTU9F0LXsbTK62MPrwEXbHxbItMSFAESpK5/XVV1/x17/+lUmTJlFcXMzDDz9MSEhIe4elKEoHkX2gmhfWllBS+/OSfgFcel44kUF6zzsqAXN8aVLz54vbOJKORyVjlM5Pp6OiWzeiDhwETXM7pKxnT2yhoSRt3OjXIWuSkjDV1RHtdPocm1xXf1K76iqTiZz4OAZVVpJS17yzkl2n46vUFGJqaqj/4AO/4jGNGU3QjKto+PAjbOvW+bWPogSKfe9erD/8QNi11yD8XAJU+/4HGJxOtvd0U2j7DLvgaD51RgPbElqWTDE7HFy2dy/VZjPLunVTy5MUpRU++ugjHn30UY4cOcKf//xnZs2a1d4hKYrSgby+oQyr8+SboRJ4f2tl+wR0jovZ+SaePg05QpqXZFBOpuZxKZ2apbHtc35qCgk7dqDfs5eKVPfdHQ736U2P9RtwHj5MbbT3cpwiPIIsIK6yipxKz//5R0vJY1YbHxj0fGn4+dftiJQMBMYdOMhck7HZRd1eYHBUFL3++wZbw8Oxx/ru9CL696fLuhwcj/+Vg/fdhyPSe82NoKAgJkyY4PO4rSWlJDhASziklM0KSZ7p4weyO9Xp1GfwxWazBTT2zZs3+zx++OuvYzKbOdijB3LzZp/HFHV1xLz/PltDQli8ffuZCrUZh8NBSHExXSsrWZ6YQHltrf87S8m1R/IIs1p5vVsWpackUo2qm5Ki+OWNN97gjTfeaO8wFEXpgKoanJTWub8ReuJMGaUNSEnstnnE7fiP60s4KSmj6YMoGXhPu4TWkahkjNLuAnnheNlllyGEQNbXY1+xkhE6HYbp092OlWPGYL/514ytqcUwc6bX40q7HfuXX9LFYWe9lw5MGQ4nOmCsprFYr29KujhwFTu4zWpjpBCsNzT/VVyUmEDP+nqSPv+C3Jtn+r4Lr9Nx5JdX0/21eaR8+CGHfn0zeElYOByOgLfDVu223Qvk90UIEdDja5qGXu95GrCurAzz+g3UT5yADG3ewt2d4OwV6BoaeAuocAbuw1SvXr24RW9ACwqi7/3306cFSyNCVq8havsOqq68ksumTG62XafTqYRM+wgWQsS0ZAcpZXmgglEURVECo7zOwUNLCzxujw9Vl7VtRkriNz1PzB7XDH5HUCzlPa8jet8nGOqKcYQkUjLwHixd/Fuqfi5TP7XKOUEEByMGDUL7/nvkHbe7vVgVUVHoxo9H+/Zb5MybEF7qVgijEdGlC1kHD3o9b5J0LYtK0yQZmsaREy5iVxkMTLHbuc5qY5Nej+OUmCxGI0VTJpO66Cuitm6jcuAAn6/z/7N33+FRldkDx7/vnZaZ9J6QEEIvUqVbABEE7NjLz7ZrWXVta9e1F3TV1dVFV91VV91dda1Y6CAgvQsovYU0Ukkyfea+vz8msJSZSSaFAfJ+nmceNPe9d85oQmbOPe85nrQ0is49h/ZffkXGvHnsbcXKF0UJxjprNgDOM49MWAQjXC6ss2fj7tuXnet+JsK5RhFJdbuJ2bSOurFjkBEkYozFxSR+8QWunj2xnzm6FSNUmuCB+kdjSU6w9z4rV64MmYB9++23ufnmmwF45513uOWWW0Je5+CKvYEDB7Jq1aqg62666Sbeqe9PtnLlSgYNCj1VfMWKFQwcOBCAm2++mXfffTfoupNPPpmVB20TDpdQVq9JvSY4+q9p4MCBXHvttYwbNw6A6dOnM3ny5JDPP2XKlAP/fM8997Bt27ag68aNG8ftt98OwLZt28Ju23v11Vfp3LkzAJMnT2b69OlB13Xu3JlXX331wL+ff/75Ia95++23HxevKa9HPxxDb6Swpr6Xou4H7aAbQz4PFT9+zPkfrzpuXtPx+v/pzclvcErl51zexQlAoV3j+m8Fu+u+qH9N/3v+4+U1hfv/1NpUzxilzdCGDYXSUuSuXaHXnH8+uFzoM2Y0eD3RrSuddB0RZstJpq7jIVAJc4rv0LJKKQT/NlvIkJKzQjTqrRw0CEduLtnTpmEI0l8mmOr+/anq14+MH+cR28iGxIrSEoTdjvWnn3APHoye2rhihZh589DsdhznnN3K0cGpe/eC0Yg9wiRl/Pc/II1Gqq+9Jmy1mRIVLqAygkfDY+oURVGUY4aMTWVn54kHEjETuiVgWPkfcFQGBmk4KjGs/gzjnuBJPKUF6T6uif3pQCJmR42Bq2elsrvuhLrHcVSJ1uxdcDQIIVKBicA5QB8gB/AA64D3gfellMG7th5m0KBBcsWKFa0VqhJCa34Pbtu27cBdDllZhffaazH839UYrrgi5DneBx9ClpVhevcdRJjtGP7pM/C//jr326yUhPiA9geni1SpUyY0Ouo6d9usyMPuuvzB6aK73899sTZqDzqWn5/PZZddRkxJCV3+9jZVA/pTeMEFjXrdmttNl7+9jeb1suXW3+EPsl3EYrFw1llnNep6TdHaPWNau6dLa12/tWNv7Z4xCxcuDLlNyfbDD8R+/Q2Vjz+GPze34Yu5PaQ+8gi+9u3Zd/dd3HLLLZgb2fA3UilS8obXh+v009h3+eWNPs+wt4yMp5+mbuwYasP8/GmaxqhRo1og0tCO521/QoiVUsrQt7Gbdk0deFJK+XRLXvd4o967KErrW758OQkJ4XvxKS1vd7WHB6cVUukM3NC8sFcivxuSdlz/PjxeCb+H7IWPEF84HwB3YmcKzngDvzUtypG1nh49erT4e5fDnQi3+C4F3gWGAkuB14AvgN7A34HPhPqJVQCRkozo3g19ydKw6wznnx+ooFkafp3o1hWATv7Qub5MXadUaCwyGUmRkp5B1v7HYsYMXOT2BL2GKyuL8uHDSVm5CtvO0FU9B9MtFnZfdikGu53cr75u0ghuRYmI14t1zlw8J/VqXCIGsP70E1pt7VGpijnH70dISd2Yxm2f2i9uzhwwGLC3cqJFURRFUZT/2Vbh5r6p/0vEXNk3WSViokT4XOTMv/dAIsaZ0pPdZ751QidijpYTIRmzGTgfyJVSXi2lfFhK+RugB1AAXAxcFM0AlWOHNnQYcssWZHl5yDVi2FDIyMD/zZSQawBEXh5uoKMevKu7JiUZUlKiaaw2GHACp/qObE5arGnMMRkZ7fOREyKxU3rGKDxJSeRMmYLwBE/aHM6VnU3JuLNI2LyZ1CVLGnWOojRVzJIlaDU1OOr3/zbI68U6fTqebt3wdu3aqrHFScmZfp11yUn4GzGZbD+tthbbkiU4hgxBT0xsxQgVRVEURdlvY5mLB6YVss8VeI99/ckpXD8wVSViokDz1pH7453ElgRuUjvS+7Fn9GR0S1KUIzsxHPfJGCnlHCnlt4dvRZJSlgB/q//XUUc9MOWYpA0bBoC+dFnINcJgwHDeucj169G3bA27bqcmQlbGpEqJESjVBF4hWGY0MtjnwxSkSuUrsxkncGWIRIs0m9lzwflYKirI+fbbRle6VAwdSk2P7mTNmElMUegO9IrSLLqOdcZMvHl5eLt3b9QpMYsWY6iuxnF261fFjPf7iQF+ysiI6LzYefPA56NuzJmtE5iiKIqiKIdYV+LkoWmF1HkC769/NySNK/tFNDRPaSGau5rcObdjK1sDgD1rKHtGvY5uCj3kRInMcZ+MacD+rqhq8LwS0D4X2rVDb6BSRBs3DqxW9K+/Crtum9DooOtoQZIjmXrgl8j+fjKLjEaswADfkZU0dULwtdlMP7+fPkGqZwDsnTuz94xRJK/9mZTG9gcQgj0XXogvNpa8z/6L5nY37jxFiYBt6jSMpaU4x49reAQ7gM+Pbdo0vB074u3Zo1Vji5GS8X6d5ZqgLMwY+sMJl5vYefNx9e2DPzOzFSNUFEVRFAVgRaGdR2cU4fRJBHDXKelMPElVYESDwVlO3uxbsVb+CkBtzggKR7yCNLZOP8i26oRNxgghjMC19f86LZqxKMcOIQTasGHIn39GhplOJGJj0caPQ5+/AFlWFnLddk3DAuTqR1bHZOmBBE1p/YfTXw0alUIE3aoEMNNkpEQIrvJ4giZ3APaOGEFt165k/zAV6549IeM6mN9mo+CSSzBXVdHu2+9U/xilRZnXriX2m29wDR2Cu36MaEMsy5ZiqKjAcc45jUveNMOZfp044JswzbiDsS1ejOZwRNxjRjmq4oFJ0Q5CURRFab5Fu+p4clYxbr9EE/DAiEzO7q62CEeD0V5K3uxbsOwLjJCu6XAWRae9gDS0zpCFtuyETcYALxBo4vuDlDLk4HAhxM1CiBVCiBVlYT50KycObdhQ8PnQV64Mu85w/vkA+Kd8G3LNdi3wQbJjkGRMptRxAdX7pzkJwWKjkb5+P3FBEiJ+IfjEYiZXl4wKkbBB0yi4+CJ88fHkffoZBrs97GvYz5HfIVBV8/PPJK1Z26hzFKUhhuJi4v/xHt68PGqvuaZxiRVdx/bDVLzt2+Pp07tV4zNKyTl+P+uFYGskI6n9fmLnzMHduTPeTp1aL0ClWaSUdimlt+GViqIoyrHsx+21PDO3BK8ORg0eHZXF6M7x0Q6rTTLVFpA3+2bMtQUAVHe+gOJhT4Gmxle3hhMyGSOEuBO4F9gIXBNurZTyHSnlICnloPT09KMSnxJdokcPSExENrBVSWRkoJ12Gvq0aSGraEqEwA50DNI3JkuXlGraIR9QFxkNGIGhIZItKw0GftU0LvZ4sPiDNwb222zsuuJyjHV1tP/8CwiSCApm74gR1OXnk/Pdd5jDNDBWlMYQDgcJk98Ek4ma226FRo6ktqxYgXHv3kCvmFauihmh66QAXxsjq4qxrl6NsbKSurGqKkZRFEVRWtP0zTW8MK8UXYLZIHjyzGxOy1c9SaLBvG87ebNvwWQvBqCy2xWUDn4EtMjeRymNd8IlY4QQtwN/AX4BzpBSVkY5JOUYIwwGtCGD0ZevQIaqQKmnXTQRHA706TNCXEyww6DRKVhljK4f2KK0325No0ATnOIN8bxC8C+LmTgJI8NUarnataPonLOJ37aNjB9/DPsa/vdiNAouuRjdZCLv088QXnVDWWkiXSf+7//AUF5Oze9uQU9pZGO9+qoYX3Y2ngH9WzVEg5Sc5/ezTQjWR5L0kZK4mbPwZmXhPumk1gtQURRFUdq4b36p5s8L9yKBGKPgmbHZDM6NjXZYbZKlciPtZ92C0Rm4YVt+0m8oO/meVr9x1tadUMkYIcTdwF+B9QQSMSVRDkk5RmlDh4Hdjly3Pvy6rl0RJ52Ef8oUZIhKlR2agfa6fsiUJE1K0uvHWh9CCBYZjXTTddJDVLTsMhj4yWhkeEUlpsrQucSqgQOpHNCfzB/nEb95c9jXsZ8vIYE9EydiLS0l48uvkI2sqlGUg8V+/TWW9eupu/LKiMZSm9eswVhUFKiKiWTbUBOM8+tkS/jCYIjojYRl40ZMe/YEJii1coyKoiiK0lZ9tq6KN5cGPvjHmjUmjWtH/2xblKNqm2LKfqb9nFsxevYBUNbvdir6/k4lYo6CE+adphDiQeBVYA2BRMzeKIekHMPEgP5gsTQ4VQnAMHEi7N2LvmhR0OPbDRpGIO+gxEZa/VjrEu3Iv8QWGwN7Lk8JU5XzX7MJHciaOSvMixAUnXMOzqwscr/4ElNVVYOvBaC2ezdKzziDxFWrqHzlFaRq6KtEIGb5CmzTpuMcMQLXyBGNP1FKbN//gC8jA/fgQa0XIJAoJZf4/azSBKuC/AyGEzdrFv7ERJyDWjdGRVEURWmLpJR8uLqCf6yoACDBovHiuHb0ylBTeqLBVrKM9nN/j8Eb6ENZOvB+KntdF+Wo2o4TIhkjhHiMQMPelcCZUkrVEEMJS8TEIPr3R1+6tMFkhBg6JDAO+8uvgq7dXn/3/OC+MVn1iZnSIHfWKzSNXzUtsFUpxHNXaxoL0tNI2rAB267dIWOTZjO7L78MIWVEW4/2jhpJ1amnUvvv/7DvnXcadY6iuH/9lcSPPsLbpQt1V1we0bnm9esxFRTgmDA+bMXJWL+fe71eDM1IEl7l82MCPjQYI7qrY9pdgGXjJurOOANMpiY/v6IoiqIoR5JS8u7yCv61JnADMcVq4KUJOXRNi4lyZG1TbOECcub9Ac3vQgqN4qGPU93t0miH1aYc98kYIcR1wNOAH1gA3CmEePKwx/VRDVI5JmnDhkJZGXL79rDrhKZhuPBC5ObNyF9+OeJ4pRBUC3FI35j9Y61LRPAfsYUmI+2kDDqF6cCatDS8CQlkT5sWtkmvJzWVgokTsRUVkT11atjX8r8XJSg79xzizj+P6r+9Tc2//92485Q2y1dRQcnd96DHxbLvd7eAMYKu+lJi+/57/KmpuIcOC7ksTsKVPj+DdcllIbYFNqSbrjNS1/neoAWtTAsndtYs9JgYHKed2qTnVhRFURQlOF1K3lhcxhcbqgFIjzXy8oQc8pMtUY6sbYrfNZOcBQ+g6R6kMFB0yrPUdDo32mG1OSfCjKqO9X8agLtDrJkHfHBUolGOG9qQIfiFQP9pIVrnzuHXnjka/8cf4//yK7TDm3oKwQ5No7PfH6h0EYJMqeMGakJ8FlxrCHQlH+bzscMQvEO5V9MoGXMm7b/8iqS1P1MdpuFpbc8e7D39NDIW/IQjrwPV/fuFfT2BF6WR+thj6HV1VL70MiIujvj6cd6KcjDp9VJ6/wP4KyupuuceZEJCROebft2IafsOaq++CsJMNpoA2IC1QnCeX2epph+oPGtcoJLrfH4qgK9C/FyFYigtxbpqFfYzz0RaVan0sU4IMaWJp0op5QUtGoyiKIoSll+X/PmnvczaVgtAdryJF8e3IzNOVaFGQ8L2b8la9hxC6uiamaLTJmHPOT3aYbVJx30yRkr5JPBklMNQjkMiKQkxbCj6N98gzzoLkZ0Vem1MDNq556D/+z/oO3ei5ecfcny10cBv3H76+P2sMxrZKzQsBO7Sbz7sQ2GGrnOXy4UOFDbwQbO6b19Slq+g3dSp1HXuhC/Mh+DS0aOJ3V1Au++/p65jPr7ExAb+C4AwGkmfNInSu+6m4qmn0axWYseObfA8pW0pf/FPuFasIGPS8xQnJRFRmkPXif3qS/zJybhOOSXs0pOBTULwtsnImx4vnaQkfN3aofKlpLOUvGs04I6k6ZzXS8p77yNtVupGnxHBMypR1NTbd6pJlqIoylHk9UtenF/Kgp11AOQlmnhhfA6ptuP+Y+hxKWnzZ2SufBkA3Wil8PSXcGQNiXJUbddxv01JUZrDeMstoGn4Jk9usHeM4fwLwGpF/88nRxybbzRSJgSXeLwgJXNNRqqF4BK355C+MAN8Pp52OEnWJS/FWJjfUF8KTWPPRRMRfj+5X30dssdMIEADeyZeiNB1cr+ZEn7tQYTZTMafX8HSty9ljzyKY8GCRp2ntA37Pv2Mms8+I+k3NxB/zjkRn29ZsRLTrt3YL7wgfB8Wr5eOwBZNsL+1daQ9/E/RdXzAkginICV+/gWmPXuouvZa9EYkMZVjQnwTH5GVdSmKoihN5vHpPDO3+EAipnOKmZfOzlWJmChJ+eWfBxIxflMcBaPeUImYKFPJGKVNE+npGK6/Hrl6NfrsOeHXxsehnX8++sKF6Lt2HXLMLwRfmU100nVO9vvxCMEUk4meuk4vv46QkkvcHv7gclOqaTxus7K+kT03PKmpFI8fR/y2baQsXx5+bUoKJWPHEL91K8mrVzfq+gCa1Urm63/B3LUre++7H+eyZY0+VzlxOZcvp/zFF7GNOJ2UO+6I/AI+H7Fff40vNxf30KFhlxr37MEMbBHagdKFiH5BSclwv87PmsAeQVWMdcUKYn/6idqxY3D37h3JMypRJKW0N/UR7dgVRVHaApdX5/HZxSwtcADQI93Ci+NzSIqJbBux0gKkJO3nt0hfOxkAnzmRgtFv4krvG+XAFJWMUdo87ewJiJ498b/7LrKB8dCGCy+AmBj0Tz874thCo5FiIbjY40HUV8eUC8ENbjf3u1xc4PUy12jkWWsM5RHeua8cNIjaLl3Inj4D0759YddWDBlCXX4+2VOnNbj2YFp8PJlvTsaUl8feu+/BtXZtRDEqJxbvnj2U3Hsfprw8Ml94ARFhDxYA67z5GMrLqbtoYtgJSgDGHTsA2KoJ9rerFhFsKOkqJenA4gh+tgylpST++z+4O3Wi9rzzGv9kiqIoiqKEZPf4eWRGEauLnAD0yYxh0rgc4i0qEXPUSUn6qldJ3fA+AD5rGgVj3sad0iPKgSmgkjGKgtA0jHfeAS4X/nfeDb82ISHQO2b+fGRBwSHHdCH40mwmT5cM9vnxCcE3ZhNZUtLHr/N3i5n3Yix4I+llceCJBYXnnQtSkjVzZvi1msaeCy9A6Do5EWxXAjAkJZH51psY0tIo/f0duDdujDxW5bin2+2U3HkX6DrZr/8FLS4u4msIpxPb99/j6dEd7+FNr4Mw7dhBJVABB5IxkfyCGq7reIAVjU3GeDyk/OM9pNFI1W9ugCYkm5RjkxAiWQhxkhDi5GCPaMenKIpyIqtx+3loehEb9roAGNjOyrNntcNmUh87jzrdT+ay50jZHGix4I3NZveZ7+BJ7BTlwJT91E+FogAiLw/D5Zejz5+P3sAWHcPEiWA24w9SHbPUaGCPFqiO0aRkgdHI7TYbf7TGMK+h/jAN8CYnU3bqqST9vA7brt3h16akUHLW2MB2pVWrInoeY1oaWW//DS0ujtJbb8OzLZIWqsrxTuo6ex99FM+OHWS+/BKmvLwmXcc6fTpaXR32iy+GRiQgTdt3sBlAiAPblBqbthRSMsyvs0YTOBuZ7Ez8/AtMhYVUX3ctenJyI59JOZYJIU4TQiwFyoGfgeUhHoqiKEorqHL6eGBqIZvL3QAMz4vlyTHtiDGqj5xHne4je/ETJG0PDB/0xOex+8x38MbnRjkw5WCqe5ISdQ01zm0On8/X8KL9cVx4ASyYj++vk+GvPRChxtvabDBhPPqUb0nweSnU9UMOfygEjxiM9KupYa6UVADhUyfBOZ1Ovv/++0O+ZvL7uclkwvbJf/jvSSeF/5ArJVfGx5P53fd8s2sXtRbLIYfz8vJo3759yNPF/fdjeeYZCm+8EfcTjyMzMyOKX9M0unXrFtE5jaXrOjExMa1ybQC/34+hlSolPB4PWoTb1CKxc+fOZsXu//hfyDlz0W66ibLsbDisP9J3332H1+sNew2by8VVPy1kS1Yms5YvhwZ6HcV4PNxQVsYGr4dKex0xALFxuJwOKht4LoA+mkaK1cZMh5NKf23IdS6XC5fLReyqVcQuXEjV6NHs69wZXK4Gn6Mhmqa16t9lAKIpVXVthBBiADALqAU+AG4AFgM7gFOAfOAH4NfoRKgoinJiK7P7eGhaIXtqAr+3R3WM4/4RmRg19bvraBN+N9kLHyW+cD4A7sQuFJzxBn5rapQjUw6nkjFK1LXmB4z8/PyIru967jmKrr2OhG+mkPbwQyHX+e68k4Jp07kjLY0ZPbofelBKSlev5rc+P4ZBA9Gb+MF71apVQT9Uf5+awpUlpXTetYsVDUx++SQ1lbvr6hizeQvv5bQ7JHkTGxsb9lyZnYX74YewPPMs5ueex/PE48jUxv8lrut6q/2/FUK06vdNa16/tWNvTkJAX/AT8tNPEWPHIM4LPjl4x44dDSbCztm1G01KpqWmUl1e3uDzdqnvbbQ7xkrPzp0x6TrsKSQzI4OeYca57zexshK33UF1l870DPPzlp6eztDcXMofexxjv370fPopRCMbaTeGSpZE1aOAHxgipdwhhLgBmC6lfFoIYQReAH4L3BPNIBVFUU5ExbVeHpxWSGld4CbouK7x3HVKBgaViDnqhM9JzoIHiC1ZCoAzpRd7Rv0F3aKmRR6LVM2Yohwkpm9fEq68gppPP8W1Zk3IdcbUVBIuuYSee/eS6HQeelAIFuXnk+hycVJpaYvHuCY+nh0xMYwvr8Di94ddW2k2MTU9je4OB4NraiJ+Ltm+Pe6HHkLY7ZifnwQRNARWji9y2zb0116Dnj3Qbr21yYmFNKeL/hUVrEhLo/qwaqxQcuwOdGB7/VPq9c/dmAa+mpT0dzjZYI3B01CTYL+fqkceRZjNJD/zdIsmYpSoOw2YIqXccdDXBICU0gfcD+wCnolCbIqiKCes3dUe7vthz4FEzAU9E7n7VJWIiQbNU0fuj3ceSMQ40vuzZ/RfVSLmGKaSMYpymJQ77sCYlUX585PCVhkkXn8duqYx+LBGvgA7k5MpSohn6K7dGA7bxtRsQvBtRjqxfj+jK8NPfwJYkpjINquVc8vKSWrElo/DyU4d8dx/P6KyEsvzk6CurilRK8cwWVWF/9nnICEBw8MPI5rR32h0URFeTeOnrMZva8ux2ymzxuCuT8L8b7R1w9mYri43cbrOKputwbVnbN+Bb9s2kp58AkNGRqPjU44LyQS2JO3nBQ6U/8nAX+bzgDOOclyKoignrO2Vbu6fWki5I3Bz8LI+Sdw6NA1NVYoedZq7mvZzb8NWFpiGas8ayp5Rr6ObIh/CoBw9KhmjKIfRbDaSbrkFz6ZNuMI08zWmp/NzVia9SveScHjPCSFY1KED8R4PfYqLWzzGwpgYViYkcFpVFWkeT9i1Ugj+m5WJkJKLS/dGNF1pP71Hdzx/+AOiuBjLCy+Cw9HU0JVjjPR68U+aBDU1GB59FNGMZra5dXV037ePRZmZOBqb0JGSHIeDPQdtm4ukge/JDgdOIfg1VI+neoPsdvqWlhJ73XVYhg1rXGzK8aQcOPjW316g42FrNA5K0CiKoihNt6nMxf1TC6l2BRIx1w1I4TcDU9WW3SgwOMvJm30rMZWBKai1uSMpHPEK0th6/RWVlqGSMYoSRNzZEzCkpFD94Ydh163IzUUCg3cfWR1TkJREQWIiQ3YXYGxgO1FTTEtLxadpnFPWcE+OKpOJH9LT6OZwMGRf5NuVAPQ+vfHccpkMEwAAIABJREFUdRdi1y7ML78CbneTrqMcO6SU6G+9Bb9uRLv7bkSXzs25GGMKi6g1GVmakd7o01LdbmL8fgptQZIxDeQNDVLS1+Fgnc2KL8ybvwyvl8sqqyhISCD+phsbHZtyXNkCHDyrczkwVgjRAUAIkQpcBGyLQmyKoignlPWlTh6aXkidJ1D9ffPgVK7qn6ISMVFgtJeQN+sWLPsCv95qOoyj6NRJSIM5ypEpjaGSMYoShGaxkHDFFTh/WohnW+j37nUWC+uzsjiptJT4YNUx+R2I9Xo5c8vWJlWkhFNnNDI7JYVedjvd7PYG1y9NTGSr1co55U3brgSgDzwZ7223om3ahPnV16CJ11GODXLKFOTMWYjLL0M7/bRmXav7vn20t9uZl52NN4JpTjn137uFsQdtMxICnYYrY3q4XNikZHWYLUomXeeG8go8QvB9926qT8yJaxowSgixvzrmDSAeWCOEmEtgilIW8NcoxacoinJCWFXk4JHpRTi8gfe1dwxP5+LeTa+qVZrOVLubvFk3Y64L3BSu7nwhxcOeBE291zleqGSMooSQcOklCIuFfR9/HHbd8vrx0IML9hxxrCgxkUUdOtBr717GtEJCZmFyEmUmE+eVlaE1cG0pBJ83c7sSgH/4cLw33Yjh558xv/FXiGB8uHLs0GfNQv/7PxDDh6FddVWzrqVJyejCIsotFtZEMHELAs17XZpG+WETmiQNJ2NOtjuwaxqbwkx3uriqmiyvl49SU7E3sqGwclx6BziX/zXtnQtcB+wDRgJu4H4p5btRi1BRFOU4t2S3ncdnFeP2SzQB952ewbk9VHPYaDBXbyNv1i2YHCUAVHa/ktLBD4PW+BtiSvSpZIyihGBISSHuvPOo++57/BWVIdfVxVjYkJXJSSUlxAXZurM0rz1L27enT0kJZ2zb1qIJGb8QfJeeRobHyynV1Q2urzKZ+L5+u1LfPYVNf95Ro/Bcew2GFSswvf0OtHSTYqVV6T/OQ3/9DcSAAWj33Ydo4vj1/cbu2UOa282snBxkhCXKuXY7RbGxh4xdh0AyJlwDX5Ou09vpZK3Vij/Ecw6y2xlutzMzIYFNVrVv+kQmpayUUs6WUlYf9LWPpZT5gElK2V5K+efoRagoinJ8m7ejlqfnFOP1SwwCHh6ZxdguCdEOq02yVP5K3uxbMLoqACjvfSNlA+4+4r2UcuxTyRhFCSPx/65Gejzs++zTsOuWt2+PAAYFmay0f7vSitwc+hcVM2L7jhZNyGyMjWWTzcaYikpiG1GlsjQxkV9iYzl9yxa0MA2KG+IfPx7v5ZdhXLgQ0/sftHjVj9I69IUL0V99FdG7N9ojjyDMzdtTfHJZOUPKylmckcGWpMjujhl1nQyn89AtSvvjFCJsz5heLhcxUrI6yLkAVl3n0soqtlgsTEtUbxbbMillyzftUhRFaUNmbqnhhXml+CWYDILHz8xmREc1pScarGVraT/nNgyeQA/Ivf3voKLPzSoRc5xSyRhFCcPcsSO2ESOo+fQz9MN7whykJiaGXzIz6VNcQmywxrZCsKBjR1a3a8fAwkJO3bmr5ZIXQvBdejpmXeesiopGrf93dhYliQmY/zoZbd36Jj+174IL8J53HsbZszF++lmTr6McHfrSpegvvQzdu6M99kdETPO27XSorWV8QQFbEhKYndMu4vOzHQ40oDD2yAE3DW1TGuBwUKtpbA2x9WhonZ0YKfkyOQldvUFRFEVRlCb5duM+Xv5pL7oEi1HwzJhshrVXg+miwVayjNy5d2DwBvrtlQ56gKqe10Q5KqU5VDJGURqQeM016FVV1P3wQ9h1y9vnoknJoD1H9o4BQAh+7NyJn7OyGFJQwLDduyOKo39NDTfu2YMpyJagvRYzi5KSGLKvhmxXw1OOvJrGd337IrOzMf/5z4itTR8w4rvicnxnjsY0ZQrGb79t8nWU1qWvXIn+wovQuTOGJ59ANDAKuiFJbjeXbN9BlcXCVx3zI96eBIEtSgCFQRrwhtumZNZ1TnK6WG2zBU20CCk5ra6O7RYzRc2s/FGOH0KIwUKIT4QQ24UQVUKImiCPfdGOU1EU5Xjx+foq/rq4DACbSeP5s9oxoF3opvlK64ktXEDOvHvQ/C6k0Cge+jjVXS+JdlhKM6lkjKI0IGbwIMzdu7Pvo4+RYXqj7LNa+TUzk77FJdg8nuCLhGB21y5syMxk+K7dQUdiB2PWdc4rK6erw8mIqqqga2anpuAwGDi/rKxRVTdukwn3Qw8iExKw/OlPiMIm9pARAu8NN+AbPhzTfz7BMHtO066jtBp97Vr05ydBXh6Gp55EhJk+1Bhmv5/Lt21HAJ907ow7gulJB8uxO6gym3GYTEccC1cZ09vpxBxmilI3l5t0n4+f4lQJdVshhBgD/ARcRmCK0k5gU5DH5iiFqCiKctyQUvLxmkreXR6ouI63aLw4vh29M5t3I0dpmvhdM8lZ8ACa7kUKA0WnPEtNp3OjHZbSAlQyRlEaIIQg8dpr8W7fjnPRorBrl+a1R9N1BoaqjglckJndurIxPZ3Tdu5kQCMa6Z5WVU2c30+BxcKoyqqgo6mdBgMzUlPp5HTSp66uwWsCkJyM55GHwWjEMmkSoqyscecdTtPw3vo7/P37Y3rvPQyLFjftOkqLkxs2oD/zLGRnY3j6aUQzExRCSibu2Emay8XnHTtS1YytTjl2e9AtShC+Z8zJDgfVBgM7LMGrXk6rq6NW01jTzKSTclx5hkAO7xIpZbqUcoCUcnCwR7QDVRRFOZZJKfnHigo+Wh0YXpEUY+Cl8Tl0S1ON8KMhYdsUshf9ESH96JqZwtNfoi5vTLTDUlqISsYoSiPEjTsLQ3o6+z78KOy6fVYrGzMy6FdUjDVUdQyBMdPTenRnS1oqo7Zvp19RUci1Vr+fkVVVrI+N5eN22QhgQnl50LXLEhMospg5p6wcYyMnHMnMTNwPPQguN+YXXoR9TaziNxrx3HUnevfumN56C231mqZdR2kxcuNG/E89DenpGJ55GtECjWzH7i2jW00N09vnsjMhvsnXifd4SPB6gzbvhdCVMVZdp6fTxWqbNejWqGSfj95OJ0viYkNOWVJOSP2Az6SUX0Y7EEVRlOOVLiWTl5Tz3/WBwXRpNgMvn51Dx5Tm9ZhTmiZp06dkL3sWgUQ3Wtkz6jXsOadFOyylBalkjKI0gjCZSLzqKpxLl+LeuDHs2mV57THoOoMaqHiRQvBDjx5sS0lh9NZt5FcGH589rHofMbrOjLRUqk0m5iUn07+2jswgjYKlEExJTyfZ52N0ZfDtTEFjycvDc999iIoKLC/+CRyORp97CIsFz333Itu3x/zaa7hWrWradZRmkxs24H/yKUhKxPDsM4jk5GZfU587l5EVFaxIS2NFWlqzrpXldAJQG2SLEgQSMcF6xvR2ODECq0JUvQyrC/ShWai2KLU1TmBvtINQFEU5Xvl1yasL9/LtxsBNuaw4I6+cnUv7RNV7LRpSNrxP5qpXAPCb4ig44w2cmYOiHJXS0lQyRlEaKf6SixFWK/s++jjsuiqbjU0Z6fQrKgrdO6aerml836sndWYzfYpLgq+pv7nvqO/LUVf/Z6i7/jtsNlbGxzOqspL2ztAToI54nh7d8dx1F2L3bsyvvgZBtkI1is0W6EWTlkbpXXfj2aRaNBxt+sKF+B97HJKSMDz7HCI1tdnXlFu2oL/xV7bbbExvn9vsEYqFNhvVZjPn7dpNh9raQ45ler3E6jrFQRI1fZ1OqgwGdodozNvT5WKHxUyV0dis+JTjzo/AkGgH0VxCiEeEEFII8ddox6IoStvh0yUvzi9lxpbA7+PcRBMvn51LVnzwGyZKK5KStLVvkv7zWwD4LEkUjH4LV1rfKAemtAaVjFGURjIkJBB/4YXUTZuGr7Q07NolHToEqmMKwvSOqefXNDanp5FfWYnZ5zvi+Ob6nhrd7IFqlZPsdew1mygPMyVmSkY6NUYjl5eUBJ2+FIo+oD/eW27GsGED5slvQgTnHiIhAc/DD6HFxlL6+9/jDddDR2lZ336L/uKfoEtnDH96EZGR3uxLyqoq/M89D8nJ/Cc3p0VGRTtMJj7o1pUas5mrtm6je3X1gWN9HYGqmXWHTXwy6To9XK7A14PEYNF12ns8bLGofe1t0ENAbyHEPdEOpKmEEMOAm4Cfox2Loihth8en88ycEubtCPQb7Jhs5uUJOaTHqpsaR53UyVj1Z1J/+QAArzWdgjPfxp3SPbpxKa1GJWMUJQKJ/3c16Dr7/vNJ2HXV9ZOV+hUXExtkO9HhNqenY5SSzhUVRxwrNpupMRjo5rAT4/fTyeFkQ2z4LRgug4FPszJJ9Xo5N8KmvP7TT8d79dUYli3D9P77jZrMFIxMSyNz8mSk10vprbfhC9HnRmkZUtepeOlleO99xLChGJ55BpHQ/B4x0uvFP2kS1NVhePQRHC1YcVJrNvPPbl0psVq5ZPsORtYn//o6Hew0m9l32HN1d7kxS8k6W/BpDp3dbjRgazOaCivHrTuA5cDLQoj1QogPhRCvB3n8JdqBBiOESAT+BfwWaPweU0VRlGZw+XSemF3MkoLAFt9uaRb+NCGHZKtKxBx1up/MZc+RvPlTADyx2RSMeQdPYscoB6a0JpWMUZQImHJziR09mtrPP0dvoK/Kkrw8hJQMKWh4fHVxfDw1FgvdyoIkLIRgS6yNrnYHPex2DMCvccEn0Bxsh83G/ORkhu2roUdjpyvV851zNt7zzsM4ew7GL76I6NyDmTt3IuP1v+AvL6f09t/jP2w7itIydLebvQ8+xL6PP4ZzzkZ78EGEpfkJCSkl+lt/g183ot19F6JTpxaI9lBOo5GPu3ZhR3w8t/t1JlZVkefx8nOQhEsfpxOHEGwN8dq6uNz4gJ1hqsaUE9bvgbEE2g31Av6v/mvBHhERQlwihHhDCLFACFFTv40o7H5VIUSuEOI9IUSREMIthNgphHhNCBGqedM7wOdSyjmRxqcoitIUdo/OozOKWFUUqEY9KTOGF8blkGAxRDmytiV+5zQ6fXMe3T4dTtL2bwFwx3egYMw7eONyohyd0tpUMkZRIpR47TXotbXUfvV12HU11hg2ZGbSp7iEeFcDvVuEYHN6Gh2qqrAE6dWy2WYjVtcZW1FJrcHA7pjGbcOYkZpCkcXMJaV7iQ2yBSoc3xWX4xs1EtOXX2GYMSOicw8W07cvGa+8jHf7dvbefQ96Q/8tlIj4a2ooufU27DNmkPKHe+C3v0UYWuaNlPzhB+TMmYhLL0U7rfW693sNBj7t3InFQjCqNpA4/PmwLUpCSk5yOvnVag25Taqr28VOiwWvpn61tUF9Gvloyqb7PxJI4vQHwndmB4QQnYGVwA3AMuBVYDtwF7BYCJF62PqbgC7AY02ITVEUJWI1bj8PTy9kfWngPdmAdlaeH9uOWLP6/Xk0xe+cRtay5zA5Sg9MkJQIqrpdhs+WGdXYlKND/cQpSoRi+vXD0q8v+/71L0QDW3iW5bUHYHAjqmM2p6djkJIuQbYqbamfHJPm9fJrbGzQkb7B+DWNT7KyiNF1Li7dG9mWIyHw/va3+AeejOmfH2JYvLjx5x7GesoppD3zDO7Vqyl76GFkhIkhJThfcTFF112Pa+1aMl6YRNJ11zW7se5++rp16O/+HTF4MNr/Xd0i1wzHr2m8ZtD4ITGBd9PSKDuseW++x0O8rh/RR2a/GF0n1+MNWTWjnNiklBsa+2jC5e8BugEJwK2NWP8mkAHcKaW8UEr5kJRyNIGkTHfguf0LhRDdgeeBq6WU4Tu+K4qiNMOcbTVc89lOxr+/lSs+2cGm8sA2+mHtbTx9ZjYxJvWx8GhLX/tXNP+h7QwEktRfP4pSRMrRpn7qFKUJkq69Dl9hIV3Kj0ycHKw2Job1WZn0LiltsDqmNC6O6piYoFuV7Af1zvilEVuUDrmuxcK0tFROstsZXFMT0bkYDHjuuAO9WzdMb76Ftm5dZOcfJG78OFIefADnvHlUPPsssom9aJQA96ZNFF5zLf6yvWS/9RZxEya02LVlaSn6Cy9CdjbavX9AHKVKEykE0xMTWR9si5LDiQ/4xRq8Kmx/v5gtql+M0sKklHOllFtkI/7SEkJ0As4CdgKTDzv8BGAHrhFC7P+LfDiQBqwXQviEED5gJHBb/b+rb2hFUZptzrYaXltYxl67Dwn46+czdE+z8NjobMxG9ZHwaDM4KzA69gY9ZnSEHxSinDjUT56iNIHtjFEY27dnYGGDFessb7+/OqaBiUL1W5XyqqqICbJV6Zv0dPZYLGytr5KJxMKkJLbYrJy3t4zUBsZtH8FsxnPfvch27TD/+VXEtm0RP/9+CZdfTuItN1P3zRSq/nJM9tE8LjiWLKHoht+AptHu/fexDhncYteWLldgcpLfj+GPjyJiI0v+tZbeTidbYmJwh0gMdXW58AI7VWVMmyaE6Fvfm2WeEGKtEGK+EOJVIUS/oxTC6Po/Z0gpDxlHJ6WsBRYCNmBY/Ze/JrB9qv9BjxXAJ/X/rKplFEVptvdXVuL2H5lPrnL6MWotU1GrNJ6prpC8WTcR6r+82qLUdqhW2coJr1UqMDSNxKuvot0LL5JQXMyeMB9Ya4A1Kcn0KylhdnIStWGai662WhkC5BbsweVysX379gPHtgMfA+zc2aSQX5aSV6Tkwp27eMygYbPZ+Pzzzxt9vrV3b8bPm4fxmWeZMXIENfHxYdenp6fjCZb4GTaMmC1bqfnnh5Q6XXjOjryiQ0pJp1ZoJrtfXV0dCS0wiSiYgoICbE1IqEmXC1athqVL4KeFkJuL/7E/Umg0wo4dB9bNmDEDvakjyaWk36zZZO3cycrx4ylfvRpWrz4ifqfT2bTrN8Dn81ETpHory+8n0+djuskY9DhAR4eDrUYDlWGaRDscjqb/t1GOeUKIh4BngMObJp0G3CGEeEJK+dyRZ7ao/fNHN4c4voVA5Uw3YLaUshqoPniBEMIOVEop14d6EiHEzcDNAHl5ec2NWVGUE9xee/Dt4WUhvq60HkvVZnJ/vBOjqxIAKQwI6T9wXDfEUNbvtmiFpxxlKhmjRJ1ooR4XwVha8S556qWXUvb6G1wdF0/N724Ju1YrL8fw2OP8LiODuiuvDL1QSnyPP8G42Fg+pGXjtwMf+Hz83u3hUs3AD7t2kZwcarDHkaqAL/r05tJVqzlj/gL+O/Bk7GHi8/v9IRNhzquvQtTVYf3sM2RcLJ7TT4/otXi93lb9vpFSttr1/X5/w4v2x1FTA8tXBBIwa9aCxwPxcTB6NFx/XdCqldLSUuLiwo8+D6XbunVkb9/O+pNPpiA9DYIkXbZu3Yq5laYV9evXj2uvvfaIr2cuWgRz5tL/pps4KUiSzOBy0eHlVygecTq/HzEi5PXNZjOJiYktGvPBWvN7UglPCHE+gd4rJcALwBygGMgmUK3yEPC0EGK9lPKbVgxl/zfYvhDH9389qTlPIqV8h8AEJgYNGqT2fCqKEtLOKjeaAD3I3xTpseqj4NFkLV1JzoL7MHgDo8Qrel2PO6Ej6T+/hdFRis+WSVm/26jNHx/lSJWjRf0EKkoTaTYbzhEjsE2fjqGsDH96esi1eloarlOGY/1pIY7x49FDJUGEwD1oELapU0nUBC09d2iJ0cgAn5+JXi+/NqGJ7j6bjW/69eXi1Wu4cO1aPh8wAPdhjVYbRdNw3HQjwm7H+v4H6HFx+AYMiPw6JyBZVg5LlwYSMBt+AV2HtDQYOxaGDYVevVpsWtLBsgoK6LV6DQUd89lyUq+Izk0VghutNj52OSlshcqTpM2bsWdn4Q1RrRS3ezcCqO3QocWfWzlu3A1UAAOllMUHfb2CQD+Wz4G1BCYatWYypiH/G5gRgpRy1NEJRVGUE92WchcPzygKmoixGAQ3DEw5+kG1UXEFc8le9BiaHqgaLz35Xqq7Xw5AbceW6/unHF9UzxhFaQbnGaNA07DOmt3gWvuECaDr2KaHHxPtGjQQISVDW6nB7T8tZqqE4M46O4kOR8Tnl8XH812f3iQ5nJz38zqMEVR6HMJoxP772/F3zCf2zbcwbNrUtOucAGRBAfK/nyPvux9uugn+/neoqoaLJsLLL8G77yBuuhHRp0+rJGLiq/cx6KeFVKeksGr48IgmMpmBZ+LimWCx8HhsXItn+I11dcTuKaS6W7eQa+J37UI3GrHn5LTwsyvHkZOB/x6WiDlASlkE/Ld+XWvaX/kSqgQr4bB1iqIorWJDqZMHphVR6w7cJBnVMZaMWCMCyIg1cvep6Yzu3DpbspVDJW79mnYLH0bTPUhhoGj40wcSMUrbpipjFKUZ9KQkXEMGY120CPv55yHD9I7R09JwDR+GdcECHOPHoScFr1L35+Tgy87m1OJi5rVCzA4heDHGwuMuNxPXrOXzkwdQFxN8Qk0oe5KTmd6rJxM2/MKEDRv4vndv9KZM3ImJwX733cRNeoG4v7xO3UMP4m8D/Q+klLBlS6ACZslS2N8IumtXuOb/YNgwxFFKLJg8HobNnYvfYGDpGaPQjZH9WrjHFksvo5GvXC4mxsTwG6uVd1qwp0zili0IYF8DyZi6nBxkhLErJxQzgRZd4dTUr2tN+7PKob5hu9b/GaqnTFTs32IXrsdafn4+u3btYseOHeTn5x+lyBRFaYo1RQ4en12M2xf4mb59WBrn92zW7kilKaQkZcN7pK97GwDdaKXwtBdwZA+PcmDKsUJVxihKMznGjEF4PFjnzW9wbaOrYwYOpAeQ1ErNRos1jVfiYrH4fExcsxZrpBOWgK0ZGczt1pWOFZWM3rQZmljJI+Pjqbv3XqTVStykSZgWLW7SdY510ufDs2IF5n9+CDfeBA88CF99DampcPNN8Pd3ES/9CXHxxUctEYOuM2j+Amx2O8tGjsQZ4eSkiywWJlgsfOB08heng2/dLq6wxNC/BZMiSZs3405MxJmREfS4wenEWlJKbb7aotTGbQfGixCNe+q/Pg7YEex4C5pb/+dZQohD3mMJIeKBUwEnsKSV41AUpY1aWmDnj7MCiRhNwB9Oy1CJmGiQOhkrXz6QiPGZEykY/aZKxCiHUMkYRWkmf24unp49sc6dC0FGUh9MT0/HNSxQHaPtC12l7h48CA0Y0tQtQI2w22hkSt8+xLndXLj2Z8wNxB7M+pwcluZ3oFdJCcN3NP0zjkxNofaRR/C3zyP23Xexvft3cLV0x5yjT0qJd/Nm6l77CxUXXsi+u+/BNH8+dOkCd90J//wA8fRTiLPPRqSlHe3g6LNyJVlFRawdMoSKzODJjlBONhq53WpjgcfDP12BSpjJDgeFus7DsbHEtUAzW83jIWHHTqq7dwu5dWp/v5g61S+mrfsM6At8IoRof/ABIUQO8FH98U9bMwgp5TZgBpAP3H7Y4aeAWOBDKaW9NeNQFKVtWrCzjqfnFOP1SwwCHhyRybiuaivSUef3kr3ocZK3/BcAry2LgrHv4ko9KcqBKccalYxRlBbgGDsGQ00NMcuXN7z27Ang94etjvFnZbETGOZrvWQMQHFSEt/37k2K3c75Tez/sjQ/n/XZ2QzetZu+e/Y0ORaZmkLdgw/gOv98TIsXE//kUxh27mry9aJJr6zE8cknVF1/PdW/+S3Ob77BfPJAEp57DvubkxEPP4Q44wxEA+PBW4vQdU5etJguv25ka88e7OzWteGTDpKlaTwRG8du3c/z9roDnUhdwLP2OlKFxj1NGN99uITt29F8vsb1i2nXrtnPpxzXXgKWA5cCW4UQvwghZgshNgDbgKuAlfXrIiKEuFAI8YEQ4gMCU5kAhu//mhDi5cNOuQ3YC7wuhPhaCDFJCDEHuIfA9qRHm/ICj2WzZ89m/PjxpKSkEBMTQ7du3XjooYfYF+SmQ35+fshtTk8++SRCCH788cdDvi6EYNSoUZSUlHDjjTeSk5ODwWDggw8+aPkXoyjHqVlba3j+xxJ8Opg0eGx0NqM6Red9RlsmvHZy5/+BhN2B9/nuxE7sHvsunoT86AamHJPUBntFaQGeXr3wtWuHbdZsXA00QPWnp+MaOgTr/PnYx49DhpgQs0gTXKXrpOg6lU3px9JIu1NTmNarFxM2bODcdev5tm8f/JE8nxDM7dYVm9fDyC1bcZjNbA2xpaRBBgOuiRfi7dmT2HfeIe6553BdegnusWMjaiobDdLjwbNoEa6p0/AsWQJ+P8aePYm79w9YzjwTbf//52ZUELUEg8/HkHnzySos5Ne+fdnYr29E51uF4LnYOATwaF0dh3eH2eT384HLyY1WG4u9XmY1YQvcfombt+CLiaEuTB+h+F27qMvNVf1i2jgppVMIMRJ4DLgB6FH/gMC46/eBZ6WUTWlo1B+47rCvdap/AOwC7jsolm1CiEHA08B44GwCY7ZfB56SUlY2IYZj1ttvv82tt95KbGwsl156KRkZGfz444+8+OKLfPvttyxcuJCkED3SIlFZWcmwYcOIi4vjoosuQtM0MjMzW+AVKMrx74dN+3h9URmSwJSkJ87MZmBO82+KKJExuKrImXc31spfAXCm9WHPiD+jW0L1dFfaOvXuVVFaghA4xowh4cMPMf/6K55e4UcDOyZMIGbJUmJnzKDukkuCrlksBFchGer3M7UVkzEA2zLSmeXvwVkbNzJuwy9MPakXMoLnlJrGtF69uHDNWsb98itOk5naEEmmxvD36E7t009h+8d7WP/zCcZffsHxm9+ETFxFi5QS36bNuKb+gHvmLGRNDVpqKtYrriBmwniMx1iTS7PLzfA5c0guL2f10KHs7B664iQoKfljQiL5BgMP1NVSFKKn0b9dLoaaTNxts7He56OkKb2PdJ2kLVvY16ULhPheNDidWEv3UjRyZOTXV044UkoXgaqTR4UQWQQmGu2TUpY087pPAk9GeE4BgaTQceXJJ58MeaxJbYbMAAAgAElEQVS6uvqIr+3atYs777yTuLg4li1bRo8ePQ4cu+2223jrrbd44IEHeOedd5od27p167jmmmt47733MKrkq6Ic8OWGat5eVg6A1Sh4Zmw7+mRZoxxV22OsK6L9j3dirt0NQF27Uyk6dRLSGNmQDKVtUb/NFKWFuIYMJvbrr7HOnNVgMsafmRmojvlxHvazzgqaZCgRgh2aYKjPz1STqbXCPmBjdhYWv4+RW7YyZuMmZvbsEVE1is9g4Nu+fbh01WrOXb+OqcnNuxMq4+Kw33kH5tmzsX76GfFPPIHj5pvx9ezZrOu2BL2iAteMmbimTsW/fTuYzVhOP42YCWdjGjQQcQx+ULDW1XHqrNnY6upYNnIkRR0in1rVfd06esXEMNnhYKXPF3KdDjxnt/OPhEQetsVyT10tkaZj4gr2YHQ6A/1iQojftQsBqnmvcoT6BEyzkjBt0VNPPRXR+o8//hiPx8O99957SCIG4LnnnuPjjz/mo48+4o033sBisTQrNrPZzMsvv6wSMYpykH+vreSfqwLFdnFmjefOakePdPXh/2gzV28l98e7MDnLANiXfzYlQ/8Imvr7SglP9YxRlJZiMuE84wwsv/yCYf+o4jAcZ58NPh+2mTNDrlliMNJF10lvpalKh1ubm8vijvn0LC1l5JYtEU9IcptMfN2vL17NwNjFSxAVFc0LSAg8Y8ZQ+9gfkTFWYl96mZgvvoRWbGwcivR4cM+dy74HHqDioouxT56MsFqJu+8+Ur/+moSnnsI8bOgxmYhJqKpi5NRpWJxOFo4d06RETFZBAb3WrGWa08l/3Q03Vy7RdV5z2OlnMnFlhKPTITBFSTcYqOnUKeSauF270Y1GHKpfjKK0CCllyEeHIE2yV61aBcDo0aOPOJacnMyAAQNwuVxs3Lix2bHl5+eT0dQtsIpygpFS8t7KigOJmMQYA3+akKMSMVFgLVtD3qxbDiRiKnv8HyXDHleJGKVRVDJGUVqQc+QIpNmMbeasBtf6MzNxDx6M7cd5iNraoGuWGg0ADG3lRr4HW96hA6va59KvsKhJE5LqYmL4pl9fTD4fca/8GVFX1+yY9Lw8ap98As9ppxLz3XckvfQy/uLiZl+3IVJKvBs3UvvnV6m44EJqHnsc35atWK+6kuR//4vkt/+G9cIL0BKO3QZ5qaWlnD5tOgALxo+jogk9FuKrqxn000KqUlN5oSb0FLDDzfR4mONxc0OMle4GQ+OfUEoSN2/+f/buOzzKKnvg+PdOb6kkpEJo0juhgyhV7C72tqu7YP9Z1srae193XXdX1LXtoq5rRVdRkI70EnoPgZBGeqa+M3N/f0xgEZLMJKTC/TxPHszMfd85CZi8c95zz6GyUyeCddxNj9q/n6oOHZD1ObdyShBCZAkhNgohMo75PJKPjS0d+6nkSIPelJSUGp8/8nhNW5zqKzk5+aTPoSingqCU/H3lYT7JKgWgnU3Py1PT6Bp/ctVnSv3Zc5eQvuAO9FroOr5w4B0UDfo/EOotthIZ9S9FURqRtNtxjxqJZdUqdBFcfDrPOxc0DdsPNVfHHNbp2K3TMdrvR9SzSqXBhGBp165HJyQNyjlQ71MUOxzMHz4MXVER9tf+BF7vycdlNuO+8UacN81Af+gQ5TfciHv2bORJNIg9nvR60bKyCHz2OeUz/0DJxRdT9rvpeL75BtPw4cS8+grx//kUx003YaijqWxrkbYvm9E/zsNrtbJo6jlUxMXV+xwGTWP4wkUE9HpWnDWO+n63X3W5KJWS26yRNxK05edjKS2tc4qSsbwCW2EhlWqk9ekqtfpDf8znKRF8qDKqRhQTE2pKmZ9f846wvOqk+ZF1ADqdDn8t2xzrStqIVt7EXVGaQyAo+dPyIr7cFkqEJjkMvDw1nY6xphaO7PQTvXcOaUvuRxfwIoWevOGPUtrrupYOS2ljVP2UojQy98SJWBctxrpgIc5LLq5zbSA5Ge/QoVgXLcI1eRKyhlHHPxoM3OLzMSQQYE1zbYERggU9umP2+xm7Zw9uk5Ht9bwrWZCQgOumGdj++jfsf38T5+23QSNUMGgjRuDp2JHkb7/F9fc38Xw9B9vNN2Mad2a9L9YDBYX4N2/Gv2VL6GPXLqh+k+BPS8OYmYlx0CDMZ52FzuE46dibjZR037SZPhs2UJyYyIqzz8LXgK1CAANWrsJRWcmSSZPw2O31Pr5KSg4Hg2j1OCZ56VL8ZjOlfWrvvZS8fDlBnY6Svn3rHZPS9kkpE+r6XGkegwYN4vPPP2fhwoVMmDDhF8+VlZWxYcMGLBYLvY7p9RUXF0dWVhaapmE8rh/amjVrmiVuRWmL/EHJy0sKWLA3VHGcFm3k+SmptHc0fV9B5RhSEr/tQxI3/gWAoN7ModHP4kwb28KBKW3RKVEZI4S4VAjxuhBiiRCiQgghhRD/bOm4lNNTIDER76CBWBcvRnjC99ZwnncuwuerdWvTzwY9eUJwiaY1X3UMIIXgh969OBAby4TtO8hoQP8XLTMT97XXYtywAev7H9S7B01tgomJRD//PFGvvIwwm6l69FEq/u9O/Dt21HqM9PnQNm/G/cknVD76KKXTLqXsssuoeuIJPHPmgMmE5fLLiXrmGQz//JB2n3xM9COPYD3//DaViNEFgwxevpw+GzZwoHMnlk6e1OBETIc9e+i4dy/b+/ejOLlhI2T1QBe9nt2B2hv+Hsuan0/cjp0UDh9GoJa4jeUVJGzYQPHAAfhi1bhIRWkp1157LUajkddff53du3f/4rlHHnmEiooKrr322l807x02bBh+v5933333F+vfe+89li1b1ixxK0pb4wtInl2QfzQR0ynWxMtT01QiprnJIInr/3Q0ERMwRnHg7DdUIkZpsEa/zS6EeACYIqU8sZtb03kYGABUAQeBnnUvV5Sm5Zo0Ccu69ViWLcN93N3C4x2tjlm4ENekiSdUxwSF4EujsfmrY4CATse3/fryq/UbOHfzFj4fOJCCmPqNl/aNPxtdWSmWOd8gY2Pw/OpXjRafaehQjO+8jffb/+J6+23KZ9yE+Zwp2KZPD42d3rIF/+bqqpedO0EL1WfokpMxDOiPoU8fjH36oO/W7ReNdz0VFY0WY3OSlZVMWLqM5MOH2da/P9sH9K/XRKxjOcrLGbhyFUVJSWzv16/BMaXpdJiFYE+ETZeTly3HbzZTOGxY7WuWLwMpyR81usFxKacWIcTXwGwp5cd1rLkcuFZKeWHzRXZq69SpE6+99hq33XYbgwcP5vLLLycxMZFFixbx888/07NnT1544YVfHHPHHXfw7rvvcssttzB//nw6dOjAxo0bWb58Oeeffz7ffPNNC301itI6efxBnvopnzW5LgDOaGfm2cmpRFtUv7RmFfSTvPIpYrK/A0CzJnLwrD/ji+3awoEpbVlTvKvrCYxrgvPW5W5CSZjd1a+9oJlfX1F+wd+lC75u3bDNn4/7rLPCbs9xnncu5tWrsf04D+evLjnh+Z8Nei7WQtUx6/R6gs24d95nMPDVgP5ctm4dF27K4j+DBlFaz+0qnksuQZRXYJnzDcHYWHw1TN5oKGEwYLnoQkwTxuP+8EM8n/4H7w8//m/iksmEoUcPLNOmHU2+6BLaNdrrtxYyLw+eeprEkhLWjBnNgTqmEIWjCwQYungJAb2eNWNGg67hRZTd9KFfM7sjSMbE+/3Ebd9OwYgRdVfFrFdVMcoJzgfC7XE5AzivGWI5rdx6661069aNl19+mc8++wyXy0WHDh247777mDlzJrGxsb9Y37t3b+bNm8fMmTOZM2cOBoOBsWPH8vPPP/P555+rZIyiHMOlBXlsXh5Z+W4Aere38PSkFOwmlYhpTsLvJnXpQzjylgPgjcrg4Nl/xm+vuXm5okTqlOgZI6U8mnxRDd6U1sI1aSKxf/s75nXr8A4dWufaSKpj/mMycofXx1TNz7em5i1LdZtMfDVgAJetXcdFG7P4dMhgnHVMuTmBELivvw5dRQXWf/4LGRWNNjSzUWPUORzYb7kFy4UX4vnqa3QJCRj69sVwRjeE8dQu45Vbt8JzzwOSeWNG4+rU6aTO13ftWmJLS/l5/NkN6hNzrG4GPT4pyYkgGXNmZSUIQWEd/zaSl4e2MaiqGKUBLEBk++VOMzKCLaTZ2dm1Pjd58mQmT54c8euNGTOGxYsXn/B4//79efzxxxsUn6Kcaqq8AR7+8RDbikJDEAamWHl8QgpW4ynRZaLN0HnLSF90D9bizQC443uTe9ZrBMyxYY5UlPDCJmOEEE/W85yDGhiLopxSfP37409KwvbDj3gzM8NuFzlaHfPDjzinnbiVZ6Vez0i9nmmaxjqDnryTqFZoiHKrla8G9Gfa+g1ctDGLzwYNxFufJIdej/Pmm3C89DK2WbNwRjnw92z8HYX6tDTst97S6OdtreSixfD669A+ER5+mMJ58ziZDjcpOQfoun0Hu3v1JD89/aTj66bXsz8QCPsO2AaMrHJS2rs3WnTNW+FUVYwSRq3v2IUQ7YDJwKHmC0dRFKVhyjwBZs7NZU9JaIbhsHQbD5+djNmgEjHNyeAsIH3h/2Gu2AeAM3k4uWNeQBojnxCpKHWJpDLmYUIXOPUpOVG3MBRFp8M1cSLR//oXxp070Xr0qHP5keoY28KFuCZPOnGBELxrMvGC2810r4+nLGZkM1eCFUVF8U2/vly0MYsLNm3iiwEDCNRnQpLZjPOuO3E89xz2P79O5UMPEuzQoekCPoVJKeHf/4aPPoY+veGBBxC1JDEiZXU6Gbx8OaXx8WwZPLhR4uyqN7BKCz9L6VyzGYuU7BseplcMqipGCRFCHN/c6Q9CiPtqWKonVBUD8ErTRqUoinJyil1+Hpx7iJyyUCJmTIadB8clY9Sr6v/mZCrfR/rCOzC6CgGoyJhM3vDHQH9qV1srzSuSZIwbyAWeifCcvwNGNTgiRTmFeEYMx/H551iWLw+bjIFfVsfUpFwn+NBk4hafjyl+P9+3wPabg3FxzO3di6lbtjJ161a+7dMHWY8qHelwUHXPPUQ98yyOV1+l6g9/IJigptLWh9Q0eOOvsHAhnH0W3HrrSW/FEsEgmUuWIoJBVp85lmAjjCGPF4J2Oh17wkxS0gPTzBb2mE24UlNrXKOqYpQa7OR/N38GA8XUXPkSqH5uPvB684TWfNauXVvrFu0333yTGTNmADBr1ixuuummWs9z7FagIUOGsG7duhrXTZ8+nVmzZh197czM2rcVrlmzhiFDhgAwY8YM3nrrrRrXDR48mLVr1x79vK4t5+prUl8TNP/XNGTIEK6//nqmTJkCwNy5c3njjTdqff2vv/766H/ffffd7Nmzp8Z1U6ZM4bbbbgNgz5493DXzSXxjbgFH6LpIl7OaVV9+wrTXgvzxj3+ka9dQs9g33niDuXPn1njOrl278sc//vHo5xdeWHvP8ttuu63Jv6a777671nO21q9pQDsfb44rxWgO/dtc6OlFysgnQeja7Nd0vFPh7+l4TfE1NbVIkjGbgG5SyvcjOaEQ4izaUDJGCDEDmAHQsWPHFo5GOeWYTHiHDMGyahVVV12FDDNi+NjqmGgp8dawZplBz/CAjst8Guv1egoasF1JJ+VJjZne3b49CzWNs3fuYvzOnczv0aNeU3tku3ZU3XM3jueex/7KK1TNnHlCnxylZrKsDF58CbZuhauvhssubZReWT2zskgoLGT1mDE4T7LC5oiuETbvHWM0kqLX805UFANrWXOkKiZvtKqKUUKklEffiQkhgsCbUsr6bq1WFEVpFQrdEt+Zt4MtDgDdvuUYNnyGUBsOmtWZKV7+NKYMmyH0fX91o4PsDkO5TagtYkrjE+Gaogkh/g5MBzpJKQ+EPaEQ7wLXSylbpM13dTJoAfAvKeW19Tk2MzNTrlkTbhiD0pY0ddO/mhoQHs+4axdxL79CxQ2/wTNiRNj1+vx84h9/gq+A/9isNa6JCwZ53u3hgE7HMw3YrvSM2w1Cx9LBgyh2NLzDyPC9+xi+fz9rOnZgeddfjvaLjo7m4osvrvN4/c6dOF56mUDHDlTdfz9E2BRY0zR6NkG/mSMqKipOmADSWPbt20dUAxJPUkpYshTeegs8HrjjDsSZY09Y98EHH+Co599pQl4eY36cR07XrqwbXXcu/aWXXsJkMkV03ivNFm622Ti/rJSqOv5ffD0qinih46VOGVz361+f8LyxvJy+b/yV4oEDyTl3akSvXROTycS0adMafHw4+kaoJjpVCSHWHps8aYLz9wEKpZRFTfUarZW6dlGUprd69WqiG+lGRU2yS708NPcQJe7QzYtf9YlhxtAENZikmUVlf0/KiicQMoAUOgqGPkh517qvZZVTV8+ePZv02gUiq4xZDVwB9ALCJmOApScVkaI0oqZOxni9NdWuHLcmPZ2o+HhMy3+mfFAE/a3j4rAMGcw5q9fwaXk5xzdFACgH3hKCuzAwprKKb2SwXnGn6w3ohSRt9Ro+Nxr5xmho0LjsVVJSaTAwMecAu/LyfzHlqU+fPnz22Wdhz5ExYADj166l8tFH+TEzM6ItT/Hx8eTk5NQ73kh5PB7atWua8dfbt2+v9zFml4uBK1aScuAAJQkJrB9/NpXFh+GLL05Yu2nTJsrLyyM+d1QwyCMlpRTo9bxcUY7v++/rXB8IBPB4PBGdu7PFQp7fz2G3u9Y1fYxG+hmMvFpeTkBKXC7XCWu6LQolPfcNHoS3hucjFYhgopPSNkkpt7R0DIqiKA2xu9jLQ3NzqfCGruWuHhDH9YPiVSKmmcVtn0379a8BENSZyBv9NFXpZ7VsUMopL2wyRkr5DvBOpCes73pFaUpN/Yts+PDhEa2ruOgiqt5/n8wuXdAnJoZdryUlUXDFldx3RndW9ayl14yU5KxZy42lpUSPGU2lLbLO7iZNQz9vPu87q+hgNHE5MMDt5gW3i+xg/ZI6AM8DOquNq4Dc8nL+q4UazgWDQQZH0AS21GIm2LULk/fsZeyKlczr2gVnmMqL4uJikpKS6h1rpA4dOtRklTG7du0iOTk5ssVS0iUnh8ysTegDAdb068v2bt1ClVCVlTUesmzZMswRVhgJ4FmbHavBwO+rKtlbUhz2mPT0dPr06RPR+Qft3EWxycTkQbVtPoLLcg7grqzENXIE/TIyuOCCC37xfLCggIo/v47p/POYfM01Eb1uXXTNPIVMaV5CiDhgHJAG1Pg/gpTy1WYNSlEUpRZbC908/GMeTl/o+uvGIe24on9cC0d1mpGShI1v0G7bBwAEjHZyz3wFd/vGGWSgKHVpkqtSIUQkFTeKctqwnTsVgkHcc3+IaL2xUyd2JyfTJycHi9dX8yIhWNK3DxIYt2lzxD1gzNWTbQ4EAjztdvGY00l7nY6/O6K4ymyu9w+FIPC828VKTeNuq5Wxhvo3ks1KTmZBp050Li3lxnXrGXzoEKKJq5paO5vLzdnLf2b02nWURUfzzYTxbDvjjEadoHWV2cxwo5G/etzsbUAiri6GYJAEr5cCa+19kmJ8PnqXl7M2Ph5fLVt8PLNnA2C5+upGjU859VRPUjoIfAb8GXgJeLn6z2P/W1EUpcVtzHPx0NxDRxMxtwxPUImY5hb0k7Tq6aOJGL+lHQcmvKkSMUqzqdf7LiHELCFEnR1IhRCdaeatSkKIi4UQ7wkh3gMerH545JHHhBAvN2c8inI8Q8eOGPv0xvXddxEfs6ZLZ/SBAP337at1jdNqZUWvnqSWlNArJ5JdhGDxhZIxFdVvvpf4NW6sqmS5pjHdYuUvdgcZ9awe8AOPu5xsDQT4g83GYH3987Fr01J5b9BADkVFMX5fNtdt2EhqRU2btE5xUtJtXzYXzJtH8uHDrO7fnx/OHEtlIzY4NgL3WK38zmJlgc/H175aEn4nob3Hgw7Iq6Np9fDiEgBWtouv8flgQQG+/36H6dyp6JqwEkpp+4QQlwIvABuA3xAq/PqIUIP+j6qXfQLUPtpBURSlmaw+6OThH/Pw+CUCuHt0ey7u3TQVuUrNhN9D6tIHid07BwCfowM5k97GG9e9hSNTTif1vQn+O2CVEKLGzpnVF0PrgKEnG1g9DQR+Xf0xpfqxLsc8dmkzx6MoJ7BNnYp/9260XbsiWl9mt7MnNaW6Oqb23jTb09M52K4dw3fswFFHb44jzNXbiMqD/6s8KZeSJ90unnA5SdHpeNMRxRWm+lXJeIGZTicHgkGestvp2oBKizKrlc969+Krnj2w+P1cvWkz5+zaha0JkgWtkd3lYsKy5Yxcv56S2FjmTBjP9m5d6zWpKpz2QvAnu4PzTWb+5fHwjLvhPVjqklzdVybfWnMTalMgQGZJCVtjYiivZVuaqopR6uF2IB8YL6X8sPqxnVLKt6ub+U8DLgO0lgpQURQFYNn+Kh6fn4cvINEJuP/MJM7p3nTNgZUT6XwVpC+8g6jcUE86T1wPcibOQnOktXBkyummvsmYZ4DewBohxA1HHhRCmIQQfyV01ykAXNJ4IYYnpXxcSinq+OjUnPEoSk0skyaBXo/ru7obpB5rXdeu6AMBBuzLrn2RECzu1xeAMyPYrnRkm1JFDU1/F2mhKpkVfo2brFb+ZHfQoR5VMk4k9zurKAkGecDro11Dmq0Kwa527Xh38CBWpqXRq+gwN65bz4C8/FN365KUdN+7lwvmzSexpISVAwfw49gxVJ3EpKuaDNIb+Lsjig56PY84nbzj9dC4m5P+J8XtwaPTUWasedvaoNIyLMEgyxNqbpT8v6qYc1VVjBKJAcA3UspjM9dH975JKb8E5gMPNXdgiqIoR/y0p5KnF+TjD4JBBw+fncz4ro1X+aqEp3cV0XHeTdiKNgLgTMrkwIS/EbA2zeAGRalLvZIxUspHCFWeVAJvCyE+FEJkAquAm4HlwEAp5deNHqmitHH62FjMo0bi/uEHZIRTXcodDvakptA7THVMldXKyh49SC8upufBg3We8/htSscrlZLHXS6ecjlJ1+l4yxHFZfWokimVkvucTjTg0i1biYlw8s7xNL2eJZ0yeH/gAAoddibt3cs1G7NIrqVxbVvlcDqZtGQpwzdspCg+njkTJ7CzS5dGrYaBUH+YF+12yqTklqpKlvmbtkAg2eOhwGKpsceNkJKRhw+TY7ORW0vjac+/qqtirlFVMUpEzMCxY63dwPG3mjcCEYy0UxRFaXzf7SznxcUFBCWY9ILHJ6QwOqNxb7oodTNW7Cdj3u8wl+8BoLLDeHLHvUbQqP4elJZR7wa+Usr5hO5AzQOuBlYCfYCngXFSyrrfCSrKacw2dSrBoiK8a9ZEfExE1THAto4dyI2PZ8S27djr2K5kqd6mVBmmymRBdZXMKr+fW6xWXrM7SI+wSiZfBnnObMIQDHLplq0ntc2oxGbj3336MKd7dxw+H9dkbWLynr0YItiS1apJSc/de7hg3nziy8r4edAg5o8ehTPCqViRsgFP2GxMt1hZrGncWlXJwUZu1ns8ISVJHg/5tfSL6VlRSbym1V4Vk5+P77vqqpj27ZsyVOXUkQ8cW0J1kNC1ybHaQ5MVgymKotTqy61lvLasCAlYDIKnJ6UwNN3e0mGdVszFW+k4bzpGZx4Apd2mcWjUM0h93RM8FaUpNXSaUhWhO1Ci+qMcWCxlDfseFEU5yjJmDMLhwF2PrUqRVscc2a4kgLGbt9S6XcmsaXgNBiKpzSmVkkddTp5xOelYXSVzaYRVMgd1Oj7v3Qu7z8elW7di9vsjOKoWQrAjMYF/DB7E2tQU+hcWMuidf9A+a1PEU6Rak6jKSqYsXszQrCzyExKYM3Eiuzt3avRqmAydjr85ohhlMPJXt5un3C4aVqdUP7GahiUYJK+WSUqjDh+mxGhkW3TNe+Q9s0P9VlVVjFIPWfwy+bIQOEsIcYkQQieEGEeoZ0xWSwSnKMrp6+OsEv628jAAdpOO56ekMSClcW+8KHWz5a+i40+3YvCWAXC473QKM+8HXc2THBWludQ7GSOEGECoSe9VwFxC25NMwPdCiGeEEE0yLltRTgXCbMY6YTyeBQsI1qOfSqTVMZU2G6u6d6fj4cN0z82tcY3Zp+GtpY9HbeZXV8ms9fu51WrlVbuD1AiqZPKioviqV0/audxcsnUbhgi3Z9XGZzCwsHNn3u/fD3d8PN3mzqXfv2ZjLyg4qfM2m2CQobmHOH/+T8RUVLJsyBAWjBqJy1Zzk9uTMc5g5K+OKOxC8HtnFf/x1ZHIa2TJ1VVL+ZYTv65Ul4sMl4uVCe1q3MKkqmKUBvovMFwI0an68xcAF/AfQv3FfyI0SOzRlghOUZTTj5SS99YW8+7a0OTAGLOOF89Jo1f7OgfTKo0sav+PpC+6C53fhURQkHk/xf2mN/oNMEVpiPqOtr4N+JnQpKKZUsqpUspZwBBCd5seBJYIITo2eqSKcoqwTp2K9HjwLFwU8TFHqmP67N9PlLPuJM6WjI7kxcUxctt2bDX0a7FoGp5aptfUpURKHnY5ec7lpLNex9uOKC4xmQj3q2x/bCzfdj+D1MpKLtyxA10jbJEpstvZfNWV7Jo6FXN5Of0//Ced581H38D+NM3BXFBA51lvcdb+/eQlJTFn4kT2ZnRs9IsBPXCzxcJjdjt7AwFurqok6ySTYPWV4gk1Bi60mE94btThYjw6Hevi4mo81vPxJ4CqilHqp/paxCilzK7+fC8wEvgQWAHMBsZIKRe3WJCKopw2pJS8ueowH2WVAhBv1fPSuel0a3fi70Wl6cTu/Dcpyx9GBP0EdUYOjX6GsjPUkF2l9TDUc/3rQA5wlZTy5yMPSil3CSFGAK8AtwHrAdWSWlFqYBowAH1KCs6PP8I6eRLCENn/hqu6dyejsIgxW7fwXWZm7W/ihWBRv75cunQZI7dtZ/6ggb942hAIoA+e+OZcB0QLQZwQxAkdcbrj/hSCeJ0gVuiwIl/OB8kAACAASURBVDAIwR1WG3nBICvCbEHamZDAj/4AU/bs4Zzdu/nvGWecfBJCCIr69qGkW1c6Ll1K8oYNxO3dw/aLL8HVPvHkzt1IhM9H9NatxK5bj2PvXvw2G3POOIOyvn2a5o6MlDwSHcMks4UvvV7+6nFzEpvDGqyj00WR2Yz/uOqpKE2jT3k5KxLa4dWfWBps9Pvx/bQA08SJqipGqTcpZeC4z7cBv2mZaBRFOV0FpeT15UX8d2cFAO3tBp4/J5W0aNWbpNlISbtNs0jY8g4AQYON3LEv4Uoe2sKBKcov1TcZ8xVwo5Sy9PgnpJQ+4A4hxHzgncYITlFORUKnI/r/7qD0oZlU/uNdomdMj+g4p9XKmjO6MWrbdjoWFpGTVPub1Qq7nY1dOjNk9x6yysooio09+tyutFTO3LyFbxIS2RMIEKcLJVpihEBfQ4JAk5JSKSkNBikOSnZLjdJg6LHDwSBrI+wFsyk5Catf48z9OVSZTCzu1Cmi48IJWCzsmziRot696fHV1/Sb/S92T51KcY8ejXL+epMS68GDxK5dR8ymTei9XnxxcRSOH0/JsKFsX7yY5CYqjR2yaTO9LRbe8rj5qK7+Qk0o0eOhi9PJvBr+fQ4tLkEAK9vVnKvvVFAAXi+m885t4iiVU40Q4h5guZRyRR1rhgOjpZSvNl9kiqKcTgJByStLC5m/JzT5MTXKyAvnpNLeUb/t4cpJCAZIWvMisXu+AMBvjuPgWa/hje/VwoEpyonqlYyRUl4SwZovhRBrGx6Sopz6rOPH4zn3XKreew/LqJGY+vaN6LgtHTvSK+cAI7dv52BiAsE6+rZkde5Mr5wDDN++g2+GDztaibEjLQ2T5qfT1q3YhCA/GGSbDFYnWIJHEy+hPyVV1N4g1wyMMhhZ4tciGlGyKi2NKK+PYbmHqDKZWJeaGtHXHYmq1FSyrruOHl99RY+v5+BM+JnyjAzKMzpS3qEDwQZszaoPQ2UlMRs2ELtuPZaiIoJGIxV9elM6eAiuThkQ4SSqhuq1axe9d+/mU5eLj7SGT686WcOLS9CEYE18/C8e1weDZJaWsDMqirJa/i66HcpDl5yMvs/xQ3AUJayXgccJbUmqzUTgSUAlYxRFaXRaQPL8onyW7ncC0DHWxPNTUmlnq++9b6WhRMBLyvJHiTq4AACfPYWDZ7+OFqU6aCitU5P8dJBSHmiK8yrKqSTm9/fgW7eO0sefIPHDD9BZwzdxlTodP/fqyblr1tI3ez9ZXTrXulYzGFjXrRtjtm6lY1EROdXbPqROR1aXzvx+yWLM5pPbuzzUYOQxu51Fmo+nXa7wE5qE4KcunbFrPsbvy8ZpNLEjMeGkYjiW5rCz5corSF6/nri9+0jauJHUtWsJ6nRUpaRQntGRsowMqlJSkDVsk6kv4ffj2LGDuHXrcezahQgGcXXsSO7FF1HRty/BWkY7N7ZOBw6QuWkz+9NS+fP69RhP8u+1oSyBAANLS9kUG4PruO13fcorcPgDtVbF2DU/acXFGK++GqGa6ilNw4Aaba0oShPw+oM8vSCfVQdDff26xZt5dkoqMRY1rae56HxVpC25D1thqCbAE9uNg2f9mYC18a4zFaWxqVStorQQncNB7COPUHzbbVS8/hdi778vouMOJiayPzGRwbt3systFXcdb7y3dUinb3Y2w3bs5EBCArKRqzPM1e+ZxxlNGGyCJ11OtDDHSCH4tnt3rFu2MnXXLlxGIwdiYxotJqnXk5eZSV5mJsLvJyr3ELH79xOzfz/pP6+gw/KfCRiNlHfoEKqaycjAlZBQrx4u5rw84tatJ2bjRgwuF1pUFIfHjKZs0CB8ic3brya5sJBRa9aSn5DA0sxMguvXN+vrH2twSSkmKVlRQ8JleHExRWYTex32Go/tU16OTkpME8Y3dZjK6asfUNLSQSiKcmpxa0Een5/HhrzQJMFeiRaenpSCw6wSMc1F7z5M+sK7sJTtBMCVOIjcM18maIpq4cgUpW4qGaMoLcicOQT71VfhnP0RlrFjsIwcGdFxK3r15LIlSxm6cxeL+9W+xUnqdKzu0Z1J6zfQPfcQOzqkN1boABirZyl95PVwldnCkzY7j7mchNskE9Dp+LJXT67atImLt2/n4359KbLX/Cb9ZEiDgYqMjlRkdATGovd4iMk5QMz+/cTu30/83r0A+Gy2o1uayjIyajyX3uUiJiuL2LXrsOblEdTrqezZk7LBg6nq1hUaodKmvuLKyhi3YiUVUVEsHDGcYAvEcISQkmHFxWTbbeQfV+WV6nLRwe3mm5SUGsdZA/QvL6M4KorYzrVXeynKsYQQXx/30NVCiMwaluqBjkBvQqOuFUVRGoXTF+DhH/PYWhia5tg/2cqTE1OwGpt2a7LyP8bKg6QvvANTVS4AlenjyBv5FNKgRogrrZ9KxihKC4u++Wa8K1ZS9vQztJ/9L3Qx4atEyu12NnXKoP++bLZ07EBxHcfsS0qiIDaGzF272J2aQqAR37Abqt9Xf+b1cigQ5G6rladtdh5xOcMe6zUY+E/v3lydtYlpW7Yyu38/Kpp4W0/AYqGk+xmUdD8DAFNFRXXVTA4x+/eTuG0bAD2iotB276aqa1ekwUDs+vVEbduOLhDAnZJC3nnnUT6gPwGbrUnjrYvd6WT8suVoRiM/jRqF1sQ9ccLpXllJvKbxQ0ryCc8NLy7Bq9OxMS62hiMhzuejo8vNyu7d6drUgSqnkvOP+W8JdK/+qIkb+Ba4q6mDUhTl9FDhCTDzh0PsKg41zB+aZuOR8cmYDSoR09Sisr8nceNfMbjyAR2iegdqWZcLKRj6IOjUW1ylbVD/UhWlhQmzmbjHH6Poxt9S9sKLxD3zdEQ9M9Z17Ur33EOM2radOcc06D3xBQQrevTkopUr6ZedzYaujfd298hsAD/wreZDQ3Kf1cZzdgd/krU3/j2iymzmsz69uSprE9O2buOjfn3xGJtv4oAvOprCfv0o7NcPpMR2+DAx+3Mw79hB0oaNxK9aDYDfZqN02FDKBg/Gk5LSbPHVxuT1MmHZcvTBIHPHjsFlC99vqKmNPFxMmdHI9ujoXzxu9/vpV17Omvi4GsdZA/QrKwNgT2rLf2+VNuVI/bkAKoBngedqWBeQUnqaLSpFUU55JS4/D809RHZZqBZ4dEc7D56VjEmvep41tajs70le9Sy6wJEf66FETGXqWAqG/aFe284VpaWpZIyitALGHj2Imj6dyr/9DfeZY7Gdc07YYzSjkdXdz+DMzVvokp/P3jqSBAXxcWS3b8/APXvZnt4Bj7lxqij01duU/NWJlx80DT8uHrLaeNDnY67fj89Q94+ZYpuNL3r14rItW7hi8xa+6tmDsgiaGTc6IXAlJuJKTCQ3JZnePXpgPXgQvceDs7pCpjXQ+/2c/fMKHC4X88aMpvy45EdL6FZZSRenkx+SkwgedxE0pKQEg5Ssiq+5cS9S0r+snGybjaqW+HtX2iwp5dESPCHEHcDKYx9TFEVpCoVVGg/OPURuRahL3vguDu4dm4Rep5IAzSFx4xvHJGL+x1K2SyVilDZH1dEpSivhuO5ajP37Uf7SywQKCiI6Zkd6OoejohixfQf6QN2zjFb16I4hEGDQnj2NES4Axurfecc27f1J03jS5aJrUHLZlq2Y/f6w58mNieaLXr1w+HxctzGL7ocPN1qMDabX487IoKpHj1aTiDF5vUxcuozEkhKWDM2kMKHlJwSkuN1ckXOAPIuFVceNs9ZJydCSEnY77By21NxoOsnjob3XS1ZszVuYFCUSUso3pJRrWjoORVFObYcqNO79LvdoIuac7tEqEdOMTGV7MLhqvkau7XFFac1UMkZRWgmh1xP32GMQCFD61FMQwTYfKQTLe/fC4fEwYO++OteWORzs6JBO75wcopyuRon5SIri+DTQEr/GayYjiU4nl2/egkULN2MJ9sfF8uGA/hRbrVy4Yydn792HLqim0B7hcDo5Z9Fi2pWVsXj4MA6kpbV0SMT6fFybvR+XXs8/O2XgO24bUs+KCmI0f63jrAH6l5UTALbGtHyFj9J2CSEGR/rR0rEqitI25ZT5uPe7gxRUhW4yXdw7hrtGJapETHMI+mm3+R06zb2O2r7bfltSs4akKI2hddzuVRQFAEN6OtF33Un5c8/Tv0d3tnbpEvaY/Ph49iQnM3DvXnakp+GsY6vHmm7d6HYoj2G7djZOvAgCUlJTymSdXs+X3bpx8bbtXLF5C5/26Y0rTJPZCouFj/v15czs/WTm5ZFaWcmcHt2bvLFvaxdfWsb45cvRBYPMGzO6VVTE2Px+rt+XjV5K3u3cmcoaev0MLy6m1GhkZ1TNoyWFlPQrL2d3VBQug4H4GlcpSkTWEGriGwk1b1ZRlIh8uT6Xl+buILfMjeB/P2Su7B/HbwbHR9TjTzk55pIdJK986ujYagkg9Aj5v1uBQb2FogG3tkyAinISVGWMorQytosuwjxmNCN27Sa2qiqiY1b27AHA8B11J1ncFgtZnTrRNS+fno2w9cYgQs17a5MdF8fnvXsR6/FwxeYt2H3hhl5DUKdjYZfOfNWjB/FuN9dtzKJLSclJx9pWpRQUMHnJEgI6Hd+PO7NVJGKMwSDXZO8nRtOYndGxxi1I7T0eOjtdrGoXX+s4644uF7GaRlZs+AliihLGq7V8/APIItTk9/vqxxRFUcL6cn0uD32+idwyN/C/RMzYDDs3DGmnEjFNTAR8tMv6Oxk//OZoIsYb05X9k98jb8RjaLZkJALNlkz+sJlUdgrfb1FRWhtVGaMoJ0FGsJWoIWIeeojSiy7mzHXrmd2/H0Fd3XnTCmB1aiojDx5kdUI7cuto6ro0IYGeOTk8Hh3D9MNFlJ7MViC9Ab/RhNN5Ys/MQCDAypUrWQlsEfCQ281Fq9fwhF5HSQQXMCuBeUju8Qf41bbtfCkEH+kEQSHo0qULX331VcPjDiM6OpoNGzY0ybkrKyvZunVrRGtHe32c5XZzSKfjj0YDZWvCt8QIBAJURZjEa4j4mFgu3ruXNLeHdxPascnvh/LyE9ZNKSnBJwQL9XpcNTwP0LOkBK8QrJISX3k58fHxBML0PjpZTfX/LKAuzFuQlPLeup4XQtwOPAXc3TwRKYrS1r00dwdu7cTfSTsOe1sgmtOLpXgrySufxFy+FwAp9BT3/g0lfW5A6k142/VWyRfllKCSMcopranfHEU31SSb6Giyb7mZ5Nf/wm2J7fFdOi38MV4vwfsf4PLKSly//z3UlcDZtZv2Tz3FGympPGk04G3g9yle8xMIBuncufMJz23atOno938bsMdi4W+paTzs83Fj7kHyImjsuw1YJgQPJiZyeUws6VVO7svLo6ioiNTU1AbFHInCwkISmqgCZffu3Vgi2HZ1vc3G7+wO1vh8zKwox1UQWRIhEAhgt9tPNsxa3eNw0K+qirwLzmfkiBGMrGGNzu2m+wsvUj54MNf96pKaT+T30/35F3D278cNl18OgMlkIimpafd8q4TJ6UlK+RchxDRCo68j+IGqKMrp7khFzPGKnOGvX5SGEQEv7Ta9Rfz2fyJk6GahJ7Y7+SMexRvXvYWjU5TGp7YpKUor5c/MRBszBtOcOeh27w5/gNmM94or0Gfvx7BkaZ1Lg2d041UBnaXkbs2PvoHVAgbq3qZ0rA0eD9NzDxKt1/N+egc61NBjpCY+KXmysJAH8vPobbbwn44ZDGkl042agh641xHFDLuD7z0e7i0vw9WE1Rz1ca3FwqiqKg6feSalI0bUui527Tp0mkZJHWscu3djcLsp7z+gKUJVlJqsAc5q6SAURWn9ftxa+2SeRPupew3SkixFWWR8dy3ttn2AkEGkzkBRv5vYP+U9lYhRTlkqGaMorZjn2muQ8fFY35wF3vBlsf6RIwh064b500/BXfMdnSPWCMFbBj0DpWSGPxDR9KbjGThxklJdNnu9/Db3IFadjnfT0ukUYUIG4NvKSq7MyaE0EOAlRxS/0vyIVpKkaCxm4JnoGC62WvnQ5eTpyoqIk11N7RyTid9Zbay22ymcPKn2hcEg8StX4MrIwJuaUuuymI1Z+G02qs7o1gTRKkqNUoHTuxu4oihhzdl4iJv/ubbG58x6wQ1DVLv5xiT8HhLX/ZGO86ZjrtwPgDu+F9lTPqSk729Bp5JfyqlLJWMUpTWz2fDMmI4oLMT80Ufh1wuB59pr0FVUYPr667DLF+j1/FuvZ1wwyJUN6NVhAPz13PWx3evlxoMHMArBe+kd6BJmwtKx9mo+rjqQw48+H5f6/Tzg04g+RRIysULw59g4RplMvFpZyZs19OFpKcMMRu6z2VmtaXyS0A7q2Orj2LkLU0kpJSNrr4oRXi9R27ZR0bcv6NVgG6XpCSGuBC4D1rd0LIqitF7/XnOAOz9eTyAoMRt0zBjbmbRYKwJobzdw1+hExndtoi3qpyFr4To6fXc18Ts+QiAJ6kwUDbiNnEnv4Ivt2tLhKUqTU6lGRWnlAr16oZ0zBdN33+MfNIjAgLq3dQS7dEEbOwbT93PRxo1DJifXuf5zvY44Kbk4EKRUBJhbjzfHeiR+6t+DY5fPxw0HD/J2ejrvpqUzPfcgOyOYtATglpLnXE72O+z8RvPzrMfL6yYTO/RtN7ecqtPxSkws7fV6Hq4oZ3GE34vm0F2v5wmHg72BAI9WVdIzTM+V+BUr0KKiqOjdu9Y1Udu2odM0ygf0b+xwldOUECKrlqcMQBrgIFTI93CzBaUoSpvywc/ZPPrVFgBsJj1vX5/JqG4JzDyvN6tXr266PoGnIaG5SNz4BnG7Pj36mDuhH/nDH8EX3anlAlOUZtZ2370oymnEO20agfR0LO/8I+z2IwDvZZeB0Yj5o4/Dn1wI/mHQs1on+LU/wPBA5NOV6rtN6Vh7NR+/OXgATUr+kd6BXuYTxyPXZaHBwKNmEz4heNjn4/w2um2ph8HA3+PiidbpuLOstFUlYlJ0Op53RFEeDPJAVSXh/uWZDh/GsWsXpcOG1VnxErMxC19sDO6OHRs3YOV0lgqk1PDRDsgD/gWMkFIubKkAFUVpvd5ctOdoIibKbODD3w5jVLemaeR/urPlr6LTd1cdTcQE9WYKB91FzoRZKhGjnHZUMkZR2gKTCc9vb0RXVob5q/Dbj2RsLL4LL8S4fj36TZvCrxeCPxsM7BKC2/1+ekU47togI2/gW5McTePXBw/gDAZ5Jy2d/hFMGfrF8TodfzCbWKPTcbXfz+99GvY2lJAZYTLxemwsHim5uayUzRFMmGouMULwoiMKPXB/VSUlEXxf41auROr1lA7NrHWN3unEsXs3Ff371z3xS1HqQUqZIKVMrOEjSUrZU0p5vZRyXUvHqShK6yKl5I8/7uS577YDEGcz8tGMEQzJUH1hGpvOV0XSqufosOB2TM48AFyJg8ieOpvSnleDTm1bVk4/6kpYUdqIYNeuaGPHYJw7F5GfH3a9b8pkgu0TMc+eDRH0g9GE4EWjgQIB92p+OkSQkNHT8MqYI3L9fn598ABlgQDvpqUzrZ5lwG4h+JPJyHtGA/2DQZ71eukSYTKpJZ1rtvB8dAwH/AFuLi3lQAN69jQVM/CcI4r2Oh0zq6rIieD7KbxeYteuo6JvHwJRUbWui968GREMUh5mu52iKIqiNCUpJc99t50/zd8FQILDzMczRtI3LaaFIzv12A79TKfvriR2zxcABA1WCobcy4EJf0OL6tDC0SlKy1HJGEVpQ45uP/riy/CLjUa8V12FPvcQxgULIzq/UwieMxrxAg9pfhLCVEN4BfSQkvs1jd9ofs71BxgaCJIRDOKoR9VDvt/PNQcPsE/z8URSMvb6VkwIwQ8GA0+YQ82AH/P6uN3nY6LfT8dgsFVtX9IBt9jtzIyOZq3m4/byMkpk60oe3W6z0VOv5ylnFVsCkVXrxK9Ygd7rpWTEyNoXBQLErViJJykJb1JSI0WrKCcSQnQRQgwSQnRp6VgURWl9gkHJI19tZtbivQCkxlj49OaR9Eiu/WaCUn86XwXJK56kw6I7MboKAXAmDSV76mzKul8OQr0VVU5vqoGvorQhMjYWbdyZGOfNR1xxOTK+7jJa/+DB+Hv0wPTFF2ijR4HVGvY1ioXgOaOBxzQ/MzWNx4xGKmtp2vqBwUB2IEBmUNJTBrEd+2S3MygPBMjVNHL9GrmaxkFNI1fzH33Me0ySxBMM0l5vYLGzCmcDK1v26HQ8bDZzrabRJxBkVHX/GxewS6djp07HDp1gj06HN0wj2qZglZJXEhIZa7XyhdvFa1VVJ11Z1NiGGYxcYLbwkcfNUk2L6BhDWRmJCxdR0asX7o613+GKW7UKS2EhOddcU+dEJkVpCCFENPAE8Gsg5pjHy4H3gceklBUtFJ6iKK2EPxDkgc828dm6gwB0jLcxe/pw0uNsYY5U6sN+cDHJa57H4D4MQMBgp2jQ/1He9WJ1DaAo1VQyRlHaGN+kSRh/+BHj/Pn4Lrus7sVC4L3yCuxPPInp2//iu3RaRK9xQKfjRaOBhzU/D2p+njIa8NTwi7NQCP5jMPAfACmxA4lS0l5CIO8Q6UYTaUYjXYwmxtrsWI6reDns94cSNH4Ni9ARbzAwK68ksm9ELSqF4G8mE0hJopR0D0p6BIN0DwaZ5vejI7S1KlsIduh07NSHkjRlTXlhICUpEu7x+0mxWHi5spIvPeEbMTc3hxDcZ7ezL+Dn3QgaRQMQDJL26adIoODcqbUu0zudtJ83n6puXanq1bNxAlaUakKIdsASoAfgAdYB+UAy0Bu4E5gihBgrpSxusUAVRWlRWiDIXZ9s4NusUM+Sbu0d/Ot3w0mKrl/POqV2Om8ZSWtfIXr/3KOPVaWMpGDoTPx2VRWrKMdSyRhFaWNk+/b4Bw/G9NMCfBdeCGGmEAW7dkUbPhzT99+jjT87bDXNETt1Ol4zGPi93889mp8XjQb8dSUshMBJaKtTNrCptBRx3Pp2ej3pRiNpRiPphtCfaUYj/c0Wko1GljidbPB4IoovLCEoEoIiHSwj1BTOJiVnBINHkzMTAgHOre7VUiAEO3WhBM3POh0uKZG1fb1SYgWigSgpiZEQjSRKQgySaAnRUhLN//40ApXAbUWFbGmld4Rut9qIF4KHq5xEOtMpYeFC7Nn7yb3sUrQ6/m0lzpuPzucj/7zz1B0xpSk8A/QE3gL+IKU8fOQJIUQC8CzwO+Ap4NYWiVBRlBbl0QLcPnsd87aFtsv0Sonmn78dRjtH/aY5KrVzHPiJpNUvYvCGbqwFjA4KB99DRWf1u19RaqKSMYrSBmlTJmNcuxbjsuVo488Ou9572aUY1qzB9MUXeH/724hfZ51ex5voudUf4FZ/gNcN+toTFBEoDgQoDgTYWEPCpTGaAYfjEoKNej0bq8cu66Wkk5T0CISSM/0DQcYGgvzO7qDKp7FTJ8gXgigZSrpEAzFSEgWYankND1ABVAhBqYD9QkeFgAoEK/Q61nq9WOo5Nao5jDIaOcds5gO3mx0RNhO27t9P4k8LKBs4gPKBA2tdZ87LI271akpGjMDXvn1jhawox7oIWCGlvOn4J6oTMzOEEP2BS1DJGEU57bh8fmZ8sJalu0N52oEdYnn/hmHE2IwtHNmpQe8pIWnNi0Qd+OnoY1VpY8nPfJCALbEFI1OU1k0lYxSlDQr06EGgUwbGuXPRzhoXdkSwbN8ebeJEjD/8gDZlCsH09Ihfa7FeT7SEawMBKvzwnkHfJHc3WqJ3SkAI9ohQD5n/AkhJkpQkl5WTabfTQwbpHZRHkytlAnKOSa784k8hqAB8bfDOT7QQ3Guzs9vv54MIt0/p3G7S/v1vtLhY8i+4oPaFUpL87X8JWK0UTRjfSBErygligAVh1vwE3NUMsSiK0opUejRufG81q7NLARjWOZ5//GYoDrN6G3TSpCRq/w+0X/syBl85AAFTNAVD7qUyY4qqhlGUMNRPIUVpi4TAN2UK1jdnod+8hUD/fmEP8V54IcYlSzB//Anue39fr5f7xqAnBskFgSAVAcHnBn1DI2/dhKBACDb5NdYbT58fj3fabEQLwf0uJxHNTpKSlC+/wlhRyb4ZMwjWUekTtWUL9n37yLvwQoIRNJBWlAbaBYQru2pfvU5RlNNEmcvH9f9YRdbBUKJg7BkJzLouE6vpFL2OaUZ692GSVj9PVO7io49VdhhPwZD7CFjbtWBkitJ2qHliitJG+YcPJxgTg2nu3PCLAaIceC+4AENWFvotW+r9erP1ehbpdFweCDAxwm0sSus3zmhkgsnM+x43uyP8e41du5aYzZspnDQRT4faq6yEppH03fd4kpMpHZrZWCErSk3eAK4QQvSo6UkhRC/gCuAvzRqVoigtpqjSy5WzVhxNxEzqncTbv1aJmJMmJdF7v6Hzt1ccTcT4zXHkjn6WQ2OeV4kYRamH0+fWr6KcagwGtIkTMH/2ObrcXIJpaWEP0SZNxDRvHuaPP0EcM1Y6ElIIZhn0RPklN/oDVCJYqVf53LYsVgjuttnZ4fczO8LGye19GsnffEtV1y4UjxlT59p2S5ZiKisj+7c3ht1KpygnaQ2hbUhrhBBvAYuBAiAJGEeoee88YK0QYvCxB0op1zVzrIqiNLG8cjfXvL2SvUVOAC4YkMqrlw/AqK5bTorBVUDSqudw5C0/+lhFxmQKB/+egCWuBSNTlLZJJWMUpQ3Tzj4b09dzMP7wA94bbgh/gMmE99JpWN+cxdkiNAe2PgJC8JrBwB80P7f7/VQJA1vUm+w2SQ88YLdjE4LnnM6IevaYgOuLiggajRy69NI6EyyGsjISFi+mom8fXF26NFbYilKbNYAEBKG+MHce89yRpgUXVn8cT90mV5RTyIESF1e/vYIDJaEeaJdnpvPcr/qj16n+JQ0mJTF7viJxw5/Qa6EEl9/SjoKhD1KVPq6Fg1OUtksls+amzQAAIABJREFUYxSlDZPR0WijRmFcugzvpZdBlCPsMf6RI/EvWMj0nTspCgbZXs9kik8IXjQaeFzz83vNz5NGA9kqIdOm6ICZdjsjjSZedTrJDka2PWmG1UaappFz5RX4o6PrXJs09weQkoJzzmmEiBUlrFcJJWMURTmN7Smq4pq3VpJfEar2/PXIDB67oA86lYhpMEPVIZJXPYu9YNXRx8o7nUvh4LsJmmNaMDJFaftUMkZR2jhtymRMixZhWrgAX11TbY7Q6XDfeSflt93GfZqfJ4wGcuqZTHEKwbNGA0/6NB7S/DxvNLBPJWTaBAHcZ7MzwWTmby4XX/u8ER033GDkUouFxVFRJPTsWedaa3Y2MVlZFJ19FlqcKltWmp6U8t6WjkFRlJa1La+C695ZyeEqHwA3j+vKA+f0QKiJPg0jg8Tu+ozEjX9B5w9VGWnW9hQMewhn6ugWDk5RTg3q3ZOitHHB9HT8fftgnDcP/BHNwoEoB08J8AAPan4S69k/BqBUCJ41GvEBj2t+Rqimvm3CnVYbU81m3nW7+MQbWZ+YeCF40B4afT0nXHIlGCT52/+ixURz+MwzGyFiRVEURanbxgNlXDlrxdFEzD2TuqtEzEkwVh6kw0+3krT2paOJmLKuF5F97scqEaMojUglYxTlFOCbMgVdaRmGVasjPuawEDxnNGACHtI0ohqQkMnTCf5gMrJPCO7yB7jU7693Y2Cl+dxitXKxxcJsj5v3I2zYK4CZdgdWIXjSWYU/TKl37Lp1WA8domDKFKTJ1AhRK4qiKErtVmeXcM3bKyl3awA8fF4v/m/CGSoR0xDBAHHbP6LTd1dhKwz1NtdsyRw463UKhv2BoCn8dnhFUSKntikpyikg0K8fgZQUTHPn4h85AiK8ADmo0/GSMdSQ9wHNz1NGA956XrxUCMHTRgO/9Qe4NBCkg5T81aB+tLQ2N1isXGGx8rnHwyy3O+LjLjdbyDQaednpJCcYpK6BlTqPh/Y//IgroyMV/fuffNCKUg9CiETgdmAgkA4Ya1gmpZQDmjUwRVGazNJdh5n+wRrcWqg69+mL+3LtiIwWjqptMlbs/3/27ju+qXr/4/jre5Im6d6bJXvPMgQXoILr6nVfFdzce/257nVPwL33nijg1iui3utAREXZe8pepZTR3aQZ5/v7I6UWaKVNm6Ypn+fjkUfSk3O+550CIeeT7yBz7v1E7llWta2g4zns7nstOiI6hMmEaLnkikmIBtBB7AXidrvr9a2OGjGCmKlTMVetxtup42H393g8eL1elgCPA7crgxsq3DygzTqtrHOwZ4CNKC7TivE+N1dbreTVddhUAHJzc2vcbgNG2exYFRSbmhKtKdFm5b2mVOvDvj6lFDt37mz0zOD/O+OqY6+UQCilcLvdB2wbExXNpZGRfFFezpMlxXWe5bSb1crVkZHMdLn4rLQEANM0a82f/d33WMrK2PK3C3FV1G0umuq01kH9NyVaLqXU0cA3wP6vbYuA4L0BCSFCbsbqXfxz6iLcXhNDwePn9uGcAa1CHSv8mF6S1rxH8vLXMEz/5wd3TDZ5g+7GmT4gxOGEaNmkGCNEAxhBnLS2X79+9SrGmF27kjt9OhkLFpB6/nmH3f+OO+4gIuKPL463LV5C/6+/5vVefdj0lzPq3LvmYBvXr+eoz6fxSfsOPBfpYL2l8VeNXbx4cY2/+yyrlSfTM+jhcPzp8SU+H8WmSbHpo9hnUlT5uMjnvy/weP547POxx+ulwOdrlKVaEhMTSUlJaYSWataqVStGjhxZ9XOH1Wvos2ABW49qh3foUG6q499Zq8fDiK++wu0zKb3gfG622wGIi4tj1KhRh+zv3bqVgocexnHG6Rx32WUB56/+dzIYpNt6i/UkEAlcA7yrtS4PcR4hRBB9tWwnN3ywGK+psRqKZy/sx2m9M0MdK+zYijaQMed+IvetAkCjKOh8AXv6/BNtjQxxOiFaPinGCNFCGJGRxPz1rxRPnow3NxdrVla9jt/Try8RZWVkz5qFJyaa7dUu6OujqGNH1lw6luTXXudOp4s37TZmB/kCG2BYZBQPp6djADfs3MkSl5N4i4U4wyCu8j7esBBnOfA+1jDoYLP5n7dYsNVyse7Vmr1eL7t9XvZ4fez2etnt9bLH5/3jsdfHHp8XdzPp3dHu93X0WbCAHW3asHDoUKhH8bDPvPlEl5bx00kn4aksxPyZsuefRzkcRI8b15DIQgSqH/CB1vqVUAcRQgTXJwu3c+snSzE12KwGL1/cn5Hd0kMdK7yYXpJWvUPKyjdRpr8ToTu2DXmD78GZKiM5hWgqLaYYo5RqBdwHjAaSgZ3A58BErXVBKLMJ0VRiLjif4ilTKPnwIxL/dWO9j985bCjWslIy5szFEx3NriFDAsrhSk3ldgW3GQb/qHCTbWo+tkWgg9ArQQF/T0zkH4lJrHO7+XdeHtu8/kn8Ckyz3u05lCJaa+IMC/EWg0SLlVSrhRSrlVSLlVSrlTSrlR4OB0kWC5YaXlNRZW+aA4s1Pn4uK2VfQ19wHbXZsJF+c+eSl53FvGOGoetRiGm9cRNtN25kde9e7E1PO+z+ru+/x/3bHKL/7/8wZClrERqFQH6oQwghgmvynC3c8/kKACIjLLw+NodjOgWvt2lLErv5f6QufQlreR7asGJUFmG0MijochF7eo1DW/+8Z7EQonG1iGKMUqoD8CuQBkwD1gCDgBuA0UqpYVrrvSGMKESTsKanE3XiSEo//5z4cVdjRNdzwjWl2HbSSUSUldN6xg94oqPZ16tXQFlKleIxh4MxFW7O8HjINk1edthxNWJBJt4weDg9nWOiovmipJgHdu/G1cBeKS6tKfV62VWH6SYMIMliIdXqL9KkVBZrUqxWUqz+7X0iIkm1WnEYBjfrVGZWVDAN2NKglH8ue8sWBvz2G7szMphz/PHoegwViy4poe+8eexJTWVNHf7sfbm5lD7+BNZePYk879yGxBaiIf4HHBPqEEKI4Hn9p408+PVqAGLsVt6+fCAD2yWFOFUYMH0krplKyvJXMUz/l1X7e8N4HCnkHvsYrpSeoUwoxBGrRRRjgJfwF2Ku11o/v3+jUuop4F/Ag8A/QpRNiCYVe9FFlH/zLWXTpxN74YX1b8Aw2PSXM7A6y2n35Vd4o6Io7tAhoCw+pZjksLPNYzCmws29TidPOxzsboS5drrb7TyZnkGq1cp9u/P5pLi4wW3Wlwns8fnY4/Ox+jAT1qZYLFyUmMiYxCRGGgZztOZDbbKxkTP1dLkY+PMv7E1N4bcTTsCsRyFGmSYDf/4FDcyvQ28a7fVSPPE+UIq4e+9FySpaInTuAOYppR4H7tJauw93gBAiPGiteW7Gep7+/ncAEqIiePeKQfRulRDiZM2Q1kSUbsexb7X/tncVjoK1GN5aptEyLFKIESKEwv6Ts1KqPXAysBl48aCnxwPjgDFKqZu01mVNHE+IJmfv2RNb796UvP8BMeedhwpgAl1ttbL+3HPpMnkKHT79jN8vvpiy7PrNQVPdjIgI8pTBdS4XE8udPBPp4PcGTOx7RmwsE9Mz2Ov1cumO7awMYOWeprbH5+O5PXv43DQZm5zCX5RiiGFhvta8rk12NcI5+gBX7SugMDmZX4cPxxdRv7f47kuWkrR3L3OPOxZnTMxh9y9/6228K1cSO3EClkyZOFGEjtY6Tyk1HJgHXKaUWoV/RaUadtVnNm06IUSgtNY88r81vDrL/9VFSoyNKVcNpmtGXIiTNQNaYy3f9UfRpbIAY/GU1LkJa7mM7hQilMK+GAOMqLz/Vmt9wAQRWusSpdRs/MWaIcCMpg4nRCjEjbmEPbfcSsl77xM35pKA2jDtdtZdeAHd3nmX9p9/zsqrr8K02QLOtNJqYXxUJP92urjV6eIJh4M11sAKMmMSErEpxUsF+8KiEFNdidZ8iOZrrXkcg4FK8btWfNTAtZq6Ancqg11WK4tHjsBbzz+rlF276LxyJZs6dmRH27aH3d+zfDnlU6bgOPVUHAFO9ixEY1FKdQJmAvsnLTq2ll2bx+zaQojDMk3NxOkreec3/8DejDgHU68eTIfUw39Z0BJZnHv+6PGybzWOvauxVtQ+E51WFioSOuFK6kbMthlY3Yf2IPZGycTHQoRSSyjGdKm8/72W59fhL8Z0Roox4ggROXw4kSecQOGLL+IYPAhb584BteONiWHTGafTdfIUsn+cxbaTT2pQrl2GwYORkdzhcnKzy8VjAfaQuX5nLs9mZnF/WjrZ1gheLtgXVldYycCtyiBTKb7QJp81MH074B5lsBd4ITmJQXVY/ag6q9tNzuxfKYuNZVnOgMPur10uSh58CCMtjegbbwgosxCN7GkgC3gMeAfIhTpM/CSEaJZ8pub2T5fx8cLtALROiuS9q4bQOikqxMmahlFReEjhJcJZey8WrQzccUfhSuqOK7kbrqRuVCR0RFv8nwfK0/qRMe8hDJ+r6hjT4mB3n2uC/lqEELVrCcWY+Mr7mrojV99e48BSpdQ4/EOZaNOmTeMmEyJElFIk3X03Oy+4gL13303G5Mmoel6g71fapg35A/qTNn8++7p3o6xVqwZlKzYUjzgc3Ol0cbPTxeORDtbVsyCT5/VyWe4O7kpJ5R9JSXSz27kzfxclAaye1NQGRNi4TxnYgcdMk9kNLMRkAhOVgQsYr03sARS3+sxfQGR5OT+OOhlfHZYhL3vlVXzbtxP/3LMYUUfGB2PR7B0DTNNa3x7qIEKIhvH4TP790VKmL80FoH1qNFOvGkxmfGSIkwWH4S7FXrDmgOFGtrLcPz2mIrYtFUn+oosruTuuxM5oa+2/n5J2owEqV1PahTcqnd19rqnaLoQIjZZQjDmc/Uu31HjFo7V+DXgNICcnJ5y+XBfiT1kSE0ieMJ7d111P4QsvkHjTTQG3tX34cOLXrafdV1+x6sor0Q2cqLXIMHg40l+QucXp4tFIBxvqWUSo0Jp7d+ezssLFrSmpvJfdin/tymO9u3nO26mAcUnJXJuQwA7gEW2yo4FtJuMvxCjgXm2yG6hvqSxry1b/Mta9elGQmnrY/RN37MD5+TQc55yNrX//AFILERQm/p6wQogwVuH1ce17i/lulX8mta4ZsUy+cjCpsYF9odTcKK8TR8HvVUUX+77V2Ev+fH1Fd3TWH0WXpG5UJHbFtNV/qFZJu9FSfBGimWkJxZj9PV/ia3k+7qD9hDhiRA4dSswF51Py3vs4hg0jcsiQgNox7Xa2nHoqnT/4gMxffiH3hBManK2wsiBzV+UcMo9EOtgUQK+OD4uLWet282R6BlOyW3Fvfj7flpU2OF9DxRsGR9nstLfZOMpuo19kJP0jo/jW5eRNmw3X4Zv4U7H4CzGxwN0BFnYc5eX0mzuXgqQk1vQ+/DLWVo+H7jN+wNKqFTH/kAXqRLPyM3D4MXZCiGbL6fYxbvICfl63B4A+reJ554pBJEQFPl9dKCmfG3vhuqphRo59q7AVb0Lp2nvxeiLTqoYZ7b+Zdlk1SoiWqiUUY9ZW3tc2KUanyvva5pQRokVLuO56XPPms2/CRDI+eB9LQmD/qRd3aM+e3r3I+G0OBV274cxo+KRvBYbBQ5UFmdsqCzKbAyjILHG5uHD7Np5Iz+CJjAymFRcztaiQAp+PQtOkQgen05sFaBURQTubjfY2O0fZbFW3pGq9hypMky0eNxPz8vjWUKSkpDTovJHABGWQBkzQJhsCaEOZJgNm/4rV663TMtYAPRcuwlFSQuyjj6AiW2Z3cRG2bgPmKKWu1Vq/EOowQoj6Ka3wcsWk+czb5J+QdmC7RN66bCCxjsMPnW0WTC/2oo049q2qLLysxl60HmXWPnWV155Y1dtl/80X2bDPB0KI8NISijEzK+9PVkoZ1VdUUkrFAsMAJzAnFOGECDUj0kHK/feTd9ll7HvoIVIefRSl1OEPrMG2E08kfsNG2n31FasvvwzqcAF/OPuqFWTudLp4wWFnWQDDoHb7fFyZu4PbUlK5ID6eM+P+WPbSaZoUVhZmCn0+Cn0+ikwfhT6TQtNXuc3/uMjnY7fPpLzaN1cxhlFVZGlvs3FUZeGlrc1GRLXf5R6vl01uN9+XlrDR7Waz281Gt5tcj4f9rSUmJtIQNuAuZdAOeEibrAqkEa0Z8OtvpOflsWDo0ZTG19ax8A9pubm0X7eOzX37kta7dyBnFSKYrsG/rPWzSqm/A4uofWlrmXVaiGakqNzD2LfnsXRbIQDHdEzhtbEDiLI1g8uUZR/BjPvIKdr+xzwrbU7CVrLlgDle7IXrMHy1r+7oi4g9YKiRK6mbfyWjAD+PCSFahmbwLtcwWusNSqlv8a+Y9H/A89WenghEA69qrctCkU+I5sDWrSsJ//wHhc+/QNmXXxFzxukBteOLjGTL6FF0/PQzMubMIW/o0EbJt9cwuD/Swb9dFdzkqmCKTfOdrf7fhnmBB/fsZlJhAV3tdhIMCwkWCwkWo+pxvMUg02onwWIhzjAwavkg5NGaQp8PBaRUKw55tGar280mt5uZpaVscrvZ6K5gs9tNcZAnELbhX766B/CU1iwMsJ2eixbRZtMmVvbty9YOHQ67f4TbTf/f5lAcH8/GwYMYGOB5hQiia6s97lF5q4kGpBjTklReLFO0HeJbwch7off5oU4VmCPwtewprWDMm/NYvdO/7PKJ3dJ44aL+OCLq30u23rQGnxu8FdXuK8Dr9t+v+S/88hT4KlBARHkemb+NJ2PO/RjaU2uzpjUKV1LXaj1euuOJyZbCixDiEGFfjKl0DfAr8JxSaiSwGhgMDMc/POmuEGYTolmIHTMG5+xfKXjsMRz9+gbcTmHXruzr2oWsn36moEsXKpKTGyVfgWHwQKSDf7oqGOt2k6lNpthsmAF8eNnh9bLDe/hVbQ0g1jBItFiINyqLNhYLcajKIo4FA9jkqezlUuFmu8cdkvVy7fh7xPQCntOanwNchanTylV0XrWa9V26sLZnbderB+q9YAEOp5NZxx+H2cDJm4UIksNPeiT+0FIu+pd9BNOvB4/T/3PRNv/PEH6v50h4LaYPup1RVfjYXVjMLR/Mh4Ji+igPx3eI5/qhkVg3fV97gaTqvqLmQorPU4djK+999Z/wX6FR1QoxpsVORWLnqqKLK6kb7tg2YDRBMUkIEfZaxKfqyt4xOcB9wGjgVGAn8BwwUWu9L5T5hGgOlMVC8n0T2XnBhey9dzycdGLAbW0dNYq4zVto99VXrB0zptG+7alQimcddi5wezjN4yHd1LzgsOMM0rdJJlBkmhSZJvDHhytvHQo5TckB3KMMugHPaM2sAAsxrTdupNeiRWxv25ZlA3Pq9OeWsX07bTdsZE3PnhSkpBB32COEaHpa65WhzhA2arpQ/s/fYdbjEJMW2mz1tX2+/6K6Oo8Tpl0LCyf9+bEBzSUWwDF1PU/uokOLAx4nTPs/mPuq/9xVbe1/rKudQ1eLV5d9D36+Edst3wMHT1LrccLn//DfKqUCk8D/bQPAdmDqn/yOmgkN7Bp0l39lo/j2YLSIyykhRAi0mHcPrfU24PJQ5xCiObNmZpJ0++3svecesuPiyD/u2IDa8cbEsO2kEzlq+pekLlzI7pycRsuoleIDu42dhuKyCjf3Op085XCwuxHmpwlHkcC9yqAL8HQDesSk78hlwK+/kZ+RwYJhQ+tUiLFVVNB/zhwKExNYXYfVloQQgVFK3QGcDXQBKvDPc3eH1npFo59sxn1/FGL20ybs/d1/awl8FbBldqhTNA6fG3YsCHWK5sdiB6sdLLZa7u1gtdVyX8f9p9/gLywdxBuVQVGHM0PwooUQLU2LKcYIIeom6pTROH/+iVbfz6CkS2ec6YGtirS3Vy+SVq6i1Q8zKW3dOuB2ajMrIoLdyuB6l4sJTifPOBysC2ClpXAWBYxXBp2AJ7TJrwG2k7h7D4NnzaI4MYE5xx+HWcffY59587C5Kpg9YgT6CPvdi/CklOoNXAH0AxLwT+K7EJiktV4aymyHcQLwEjAfUPh7+n6vlOre6L17i7bX/lzbYxr1VEFXU88Y8F9Itx4UnHMG1FOzDsdsnVPza7Ha//hzUeqPtvY/rsqjanieeuxbn3ZV1VM17rv8Y3DXMFWjPZ78ftfyzrydFFQo3Fg5pms2Zw5oh7I6DlNIqSycWGxgiWia+Vc85Qf2IgNMi4Pdfa4J/rmFEEcEKcYIcYRRSpF4220Uzp7NUV9MZ/UVlwd2oa0Um087lW6T3qHze++x9uKLcaU1bhf3VVYLE6Iiucnp4nanizfsdn6LODLetqLxL1/dHnhMmwEvBxdTVMTQmTNxRUYye8QIvDZbnY7L2rKF1pu3sKpPb4qSkgI8uxBNRyl1O3A//lXnqzsGuE4pNV5r/WDTJzs8rfWo6j8rpcbgLyQNA6Y36sniW/mHJh2yvTVc/lWjniroDh5yBRARCWc8F/7zrED4vpa2w2p8LVuPvo8zf8qioNw/X9kNIztx5omdAl7hMej2/95n3IeuvppSu9GhzSWEaDGOzH7/QhzhLAkJbDx5FFH5+WT+/EvA7Xji4lh7ycVoi5UuU9/DsXt3I6b0yzMMJkZFstEwuKaigr9W1H/CvXATA9ynDI4CHm1AIcZRXs6wGT+glWL2yJFUREbW6Ti700W/ufMoSE5ibc+eAZ5diKajlPoL8BCwG7gR6I1/SorelT/nA/cppQIaW6CUOlcp9bxS6melVLFSSiulphzmmFZKqbeUUrlKqQql1Gal1DNKqbqsbx+L/zNaQSB5/9TIe/0X+dVFRPq3h5ve5/uLFfGtAeW/D8fiBbT417Lx6Ic4bWYmBeX++dnuOKUr/zqpc/MtxOzX+3z41woWnPYdG8/8QgoxQohGdWR8xSyEOERBp47s6d2LzF9/pbBzJ8qzsgJqpyIpibUXX0SXKVPpMvU91l5yMa6UlEbNWqoUj0Q6uKLCzdkeD46MDO7dvRt3QBMwNm+x+AsxrYGHtRnw8tURbjfDZvyAraKCn08+ibK42LodqDV9587F6vGwYOhQ9BE6V48IOzcCe4EBWuud1bbvBVYopT4BluJf1npaAO3fDfQBSvFPM9r1z3ZWSnXAv8pjWuX51gCDKs8/Wik1TGu990+aeBZYAvwWQNY/V+3b/rBfTQn8ucM1+8Fa6Gv5df0ernp3AeVu/+T4953Zg7FHtwthOCGEaB6kGCPEEWzbSScRt2kzR02fzqorr0QHuGxxRXIyv1cWZDpPmcraMZc0clLwKcXrlRP7XhAbR3aEjRvydrLP52v0c4VKHP5CTDbwoDZZHGA7htfL0TN/JLa4mNkjhlNYj+XHW2/aTPa2bSzv34+ShIQAEwjR5PoD7x1UiKmitc5VSn0MXBRg+//CX4RZDxwPzDzM/i/hL8Rcr7V+fv9GpdRTlW09CPyjpgMr9zkGOEZrHZw3uJZ00S+apc8X7+Dxb9ayo/CPoUqGgkfP6c15Oa1DmEwIIZoP+cpTiCOYz+Fg8+mnEblnL9mzZjWoLVdKCmsvvgiFpsuUqWQGo9eKUnxps3Hjzlw622xMzW5FxzrOgdLcxQMPKIMs4IEGFGKU1gz8ZTYp+fksGDqU3ZmZdT7WUV5On/nz2Zuayrpu3QJMIERI2IDiw+xTXLlfvWmtZ2qt12l9+Dc2pVR74GRgM/DiQU+PB8qAMUqp6BqOfRr4GzBCa70xkKxChNrni3dwx2fLDyjEAFwypK0UYoQQohrpGSNEA9Thc3nATNMM6lhql8uFx+OhPCODmF69yJwzl7w2bSjOzg64zfLoaJaefTa9P/mUCabm3rIydgXhNSwuLWWndzvPZ2bxbnY2N+flMbu8vNHPEyxO54EfUBOV4n5HJOnAPS4XS8zAvww/v7CQbKeL+b17szYtFcpqWNGiJloz6NffMHw+fu7Xl7KDMu5ns9kwTTPgfIePEdyhZ81+fgIRqI34h//cUVPBRPn/4EcBm5ogy4jK+2+11gf8Y9FalyilZuMv1gwBZlTL+CxwIXCC1npNE+QUIige/2YtTs+h/4/NWJ3PfbIitBBCVJFijBANEMwLu+jo6KC2f9ZZZ1W1r088kZKrrqb/L7OJfeN1VB0neq2N7/jjUddexzM2G2vHjMGd2LjDXT799FNSU1OZVlHBmStW8pJh4ccOHViaHdi8Nwdbv349Rx11VKO0dTCn00lOTk7Vz/ayMgZ9+RWOsjIWjh7N8KxMhgfYdscFC+m0aBHGeecy7LLLGFaPY33ffovvP59j+fs4zv/LX/503+R6DHuqLymWiAB9BEwAPlBK3ay1rlouSCmVDTyKfzLfiU2QpUvl/e+1PL8OfzGmM5XFGKXUi8AY4CygQCmVUblvqda69OAGlFLjgHEAbdq0abzkQjSCg3vE7Jdby3YhhDhSyTAlIQQqKoqoW2/FzM3F+dprDW7P0qEDy889B8PtpvOUKdgKixoh5aFK7XY+6tuHTUlJjNiwgeHr16PCaFJfR2kpg7/8Ekd5OQtOPYV9WXUfUnSw1qtW0WnRInK7dcNy6aX1Olbn5+N77XVUr14Yp58ecAYhQuhxYD5wHrBeKbVKKTVDKbUS2IB/rpiFlfsFW3zlfW1vfPu3V69SX4N//u4ZwM5qt5trakBr/ZrWOkdrnZOamtrwxEI0kjd/qb3zWVZCw77oEUKIlkaKMUIIAKx9+2A/9xzcn0/Ds3BRg9srS0vj94svwlJRQecpU4goCk5BxmOxML1Hdxa0yqZv7k7OXLESm9cblHM1JkdpKYOnf4m93Mn8U0+hICPj8AfVIn3jJnr8Mpv8Nq1ZO2J4vXqXaNPE+8yzAFhvvAElqyeJMKS1duKfWPdh/CsodQWGA92AfZXbj6/cL9T2/wOtqhxrrVUttwmhiShE/b3wwzru/3JVjc9FRli4ZVSXGp8TQogjlXzqFkJUcVx1FUb9aRLDAAAgAElEQVTrVpQ//hi69JCe8fXmzMxk3UV/w+J00mXyFGwFBY2Q8lBaKX5u357vOnWkTWEhFy5ZyoBt2+m4ew+ppaXYm1lxJrqwkMHTpxNRUcG8006lMD094LYSd+6k7w8/UJiWxuITT6z3UtTmf/+HXroUy5VXohpQEBIi1LTWLq31XVrrLCALfyEmS2udVbm9qQox+yvP8bU8H3fQfkKENa01j/1vDU986x+Zlxxt45ZRXchOiEQB2QmRPHx2L87qF/icdEII0RLJnDFCiCrKbifq9tspve56yp98iqh772nwHB7lWVmsu+hvdHr/A7q9+Rab/3IGRZ07N1LiA63IzKTI4WDU2t85btOBXaVdVitFDgdFDgfFlff+m50ShwNfU/QI0Zq+e/YydNlyTIuFeaedSnEDhhjYy8ro9/0MymNjWTh6FGY9lybXeXn43noL1b8fxuhRAecQornRWucBeSE6/drK+9re6DpV3tc2p4wQYUNrzcTpq5j062YA0uPsTL1qMB3TYvm/4R1DG04IIZo5KcYIIQ5g7d4dx5VX4Hr9Ddz9+mH/yxkNbrM8O5vVV15B+08/o+NHH5N39NHsGH4CBKEAsi0xkTeGDMbu8RDvqiDO5SK+8hbncpFSVkb7vXuxVptbRgOlNhtFkf4CTafycoz8fAodDpwREfiUQiuFhnrfU1nMsnu9nLx+A1327mVPVhbLhp9ARfQhK9vWmTJN+n4/A4vHw7zTT8PjcNTreO3z+YcnKYX1uutk4lwRlpRS9wLRwN1aa08t+9iAB4BirfUDTRBrZuX9yUopo/qKSkqpWGAY4ATmNEEWIYLGZ2ru+s9yPpjvny87OyGS964eTNvkwP9vE0KII4kUY4QQh7BfeCHexUtwvvAC1h7dsXTo0OA23YmJrL3sUlp/+y0Zv/1G9I4dbPzrWXhjYxsh8aEqIiLIj4ggPzbm0Ce1Jsbt9hdpnK4DCjZtCgrp4XZDyfpGyaH5Y2IIrRQzsrJwn3pKgwtRXebOJWnXLpaMGEFpYmK9jzc/+gi9fDmWG29EpaU1KIsQoaCUGgmMB26trRADoLV2K6XygMeVUr9orX8MZi6t9Qal1Lf4V0z6P+D5ak9PxF88elVrXcd154Vofrw+k5s+Xsq0JbkAHJUSzdSrBsskvUIIUQ9SjBFCHEIZBlF33kHJVVdTNvE+Yl99pcHLXQNoq5Wtp55KaevWtPn6v3R/4002/vUsStu1a3jo+lCKUrudUrudHfGHTuuwed06emdkklDhwub1EWH6/IdpUGgMrf0zcFb/ufIxcMDP1bevS05ms8VCTgMLMRkbN3LU8hVs7tGDnR3rXygzV6zA9977GCecgHHiyAZlESKELgEKgRfrsO+LwJ3ApcCP9T2RUuos/MtOA+yfXOlopdSkysd7tNbVVz66BvgVeK6yaLQaGIx/UuHfgbvqm0GI5qLC6+P69xfzzcpdAHRJj2XyVYNIi61fD00hhDjSSTFGCFEjIzGRqLvvouymmyl/5lmi77i90dre16sX5RkZdPjkUzpPfY/cE44nb+jQqiE9oeZVioKoSAqigvANn7Nhc4jG5+fTa9ZPFKSlsWbI4Hofr4uL8T72OGSkY/m/a2R4kghnQ4EZWmvX4XbUWlcopWbgHyIUiL74CznVta+8AWyh2jLUlb1jcoD7gNHAqfiXqn4OmKi13hdgDiFCyuXx8ffJC5n1+24AemXH8+4Vg0iMtoU4mRBChB9ZTUkIUauIfv2wjx2D59tvcf/vm0Zt25WayuorLqegWzeyZ/5Ixw8/xFJe3qjnaEmUadJh0SKGTPsCj93OkhNHoi2WerWhtcb79NNQVIT1tttQUVFBSitEk2gFbKjH/psqj6k3rfWEP1l+Wmmt29VwzDat9eVa60yttU1r3VZrfYMUYkS4Kq3wctnb86oKMQPaJjL16sFSiBFCiABJzxghxJ9yjBmDb+kyyp99Fku3rljatm20tk27nU1/PYvSNq3JnvEDfZ96mryjh5CfMxBPfNzhGzhCRBUX0/uHmSTm55PbsQMrhw3Da7fXux3ziy/Q8+Zj+fs4jI6yyoUIewqoT0VSuoEJEaAip4fL3p7H4q2FAAztkMzrY3OItsulhBBCBEreQYUQf0pZLETddSclV4/zzx/z8kuoAAoBtZ9AsTsnh+L27cma+SPpc+aSPmcuBd26sWvwIMqzsxvvXOFGa1qtXUu3X39DGwZLRowIaI4YAHPdenxvvY0aPBjjjIavkCVEM7CL2pePrkmXymOEEPWwr8zNmDfnsjK3GIDhXVJ5+ZIBOCLq1ztTCCHEgaQYI4Q4LCMlhag77qDstttwvvAiUTf9u9HPUZGUxKZzzmZHYSFp8xeQsmQJSatWUdqqFbsGD6KwS5egLIXdXNmcTnr+9DPpW7awJyuL5SccjyumhpWh6kCXl+N97FFISMB64w0yT4xoKeYCpymlkrXWe/9sR6VUCnAiML1JkgnRQuQXu7j4jbmsyy8F4JSeGTx7YT9s1iPn/2MhhAgWKcYIIeokYtBA7Bf9jYr33sfary+2ESOCch53QgLbTzqR3OOOJWXpUtLmzafDp59RER9P/qCB7OnbNyjnbU5St26l16yfsLrdrB4yhM29egY8ubHWGt+LL0LeLqwPP4SKk+FfosWYDJwPTFJKnV3b8tZKKSvwFhAJvNuE+YQIazsKnVz8+hw27/XP53Z2v2weO7c3VosUYoQQojFIMUYIUWeOyy/Hu3QZ5U8+haVLFyxBHEJk2u3kDxpEfk4OCb//TtrcebT+7nuyZv1EWUw0a2NiKY5sWctoWjweus6ZQ5vVayhOSmLeaadSmpTUoDbN77/H/HEWljGXYPTs2UhJhQg9rfVXSqlvgNOA+UqpR4AftNb5AEqpVGAkcBvQG/hGa/3fkAUWIoxs3lPGxW/MZUehfwXAiwa34YEze2IY0rNSCCEaixRjhBB1pqxWou+5m5Krx1E+cSIxL7yAsgV5FQXDoLBrVwq7diUqN5e0ufM4euVKhu6bz4aUZBZlZ5MbF9dslsUOVHx+Pn1mziSqqJiNvXuzbmAOZj1XSzqY3roN38uvoHr3xjjvvEZKKkSz8jdgGnAsMBVAKeWtfG7/ZxwF/FS5rxDiMNbtKuHiN+aSX1IBwJXHHMXdp3WTIa5CCNHIpJ+hEKJejPR0om67Fd+69ThfebVJz12elcXmv57F4x07sKB1K1oXFnHB0mX8bckSOufnY5hmk+ZpDMo06bhwIUOmfYHh9THv9NNYO2RwwwsxFRV4H30UHA6sN9+EamB7QjRHWutCYATwT2AJoIGIypsGFgP/AEZqrYtClVOIcLFiRxEXvDanqhBz3YiOUogRQoggkZ4xQoh6ixg2DPu551Dxyaf++WOOPbZJz18cEcHsrCzmtmlD91276L8jl9PWrKXEtokl2Vksz8igIiKiSTMFIqqoiD4zfyQhP58dHTuyatjQgJasronvjTfRmzdjnTgBlZzcKG0K0RxprX3Aq8CrSqkoIB1/b5g8rXV5SMMJEUYWbS3g0rfmUeLydy67dXQXrjmhY4hTCSFEyyXFGCFEQBzjxuFdvgLnY49jxMdj7d27yTN4LRaWZWWxLDOTo/bto/+OHRy7aTNDtmwlNy6OvNhY8uJiyYuNpTzYw6nqQ2tar1lD19/moA2DxSNHkNchsCWra2LOno359dcYZ5+NkZPTaO0K0dxVFl82hTqHEOHmtw17ueqd+ZS5fQCMP6M7lw87KsSphBCiZZNijBAiICoigqjx91J2y62U/uvfOK66CvuFF4SmK7NSbEpOZlNyMimlpfTKyyOzuJiB27ZVjcUsttvZFRvjL9DExrIrJgaPtenfAqM9HgZ88y1pW7eyJzuL5ccHvmR1TRzFxXjfehvVuTOWsWMarV0hhBAt049r8/n75IVUeE2UgkfO7sUFA9uEOpYQQrR4UowRQgTMkplJ7KuvUP7447heew3vihVE3X4bRmxsyDLtiYlhZkd/t2qrz0daaSnpJaVklJSQUVJCpz17Af9kEnujoqqKM3lxseyNisI0gjeVVvt9+xi1bj0OrVl19NFs6dmjUSceVqZJj2++Aa2x3norKgyGagkhhAid/63I47r3F+HxaSyG4qnz+3Bm3+CtlCiEEOIPUowRQjSIio4mavx43J/9B+crr1A67u9ETRgf6liAfxhTbnw8ufHxVdscHk9VYSajuIQOe/fSc9cu//6GQX5MDGt8Psp27yEvNoYiux1Da6ymWXWLqPbYappYfQf9fMC+PqymSUyFm44FBeRFRrKoEZasrkmn+QuIz9uF9fbbUZkZjd6+EEKIlmPakh38+6Ol+ExNhEXx/N/6M7qn/N8hhBBNRYoxQogGU0phP+dsLN26UTZxIqXXXU/mscdSdPSQZrfktCsigs1JSWzeXwzRmniXi/SSEjIqe9AcU1aG7fffATAJfNk5E3+Bx2sx8BgW5mZnMyM1hX5BKMSkbNtGh6VL2dGjB0cde0yjty+EEKLl+HD+Vm7/bDlag91q8OqYAZzQJS3UsYQQ4ogixRghmjGtddDa9vl8jT6/i+rSmeiXX8b56CN0/OEHdu/YwfqTT8LXyJPnejweysrKGq29MiA3OhqioyEjnR1bt9InMYns8nISPG48ysBrKDyGgVcZeAyF1zDwGAYe9cdjr6rcp/Jns4bfr8/no7y8cRd4cZQ76fXDTIoS4lk5ZDCtvd5Gbb86pVRQ/14KIYQIrkmzNzFh+ioAomwW3rx0IEd3kFX3hBCiqUkxRogGCOZktUYQ5y4ByMzMDE7DGRnoN95g+/PPk/rmW2Q4ncTefx/W9u0b7RRdu3YlphEnvT3Y1q1byc4Ozpj50tJS2jfi70L7fLjuvBMTSHz8cc5s3ZqsrKxGa78mFoslaG2HZAJoIYQ4Qrz043oe+99aAGIdVt65YhD92ySGOJUQQhyZgnu1J4Q4IinDIPLii4l75mnM0lIKx/2dipk/hjpWi+T56GPMxUuwXXMNRtu2oY4jhBCiGdJa8+S3a6sKMUnRNt6/eogUYoQQIoSkZ4wQImhs/fqR+NabFN9zLyUTJqA9d+I4+eRQx2oxzE2b8EyejOX447COHhXqOEI0GaXUvwM9Vmv9VGNmEaK501rzwFerefOXTQCkxdqZetVgOqWHbuVDIYQQUowRQgSZkZxM/JNPUHz77ZQ+8CD4fDhOOSXUscKe9vmoePIpiI7Gfu21MrxHHGmewL9CfX3/4mtAijHiiGGamrunreC9uVsByE6IZOpVg2mXEh3iZEIIIaQYI4QIOhUZSdyjj1J8552UPvyIvyBz+umhjhXWPJ98gvn779jvuhNVbeluIY4QZ4Q6gBDNnddncusny/hs8Q4A2iVHMeWqwbRKjApxMiGEECDFGCFEE1EOB3EPP0zxXXdT+uhjaK+PyLPODHWssGRu3Yrn3clYjhmG5bjjQh1HiCantf4q1BmEaM7cXpMbP1zM18vzAOiUFsPUqwaTFucIcTIhhBD7yQS+Qogmo+x24h56kIihQyl78kmcn3wa6khhR/t8VDz1FDgc2GR4khBCiIO4PD7+MWVhVSGmR1YcH4wbIoUYIYRoZqQYI4RoUspmI+6B+7Edeyxlzz6L84MPQx0prHjefRdz1Wrs//wnRlJSqOMIIYRoRsoqvFwxaT4/rMkHoF+bBN67egjJMfYQJxNCCHEwKcYIIZqciogg9r6J2E44gbIXX6R86tRQRwoLnmnT8Lz/AdZTTsEyckSo4wjRrCilkpVSjyqlliildiulimu4FYU6pxDBUuzyMPatefy6YS8AQ9onMfnKwcRHRoQ4mRBCiJrInDFCiJBQViux4++lxGKh/JVXwesl6tJLQx2r2fL+9BPul17GcvQQbNdfJ8OThKhGKZUOzAHaApuAZGAn/tWTsip3WwOUhSSgEEFWUOZm7FvzWL7DX288vnMqr44ZgCPCEuJkQgghaiM9Y4QQIaOsVmLvvgv7ySdT/sablD7xJL6dO0Mdq9nxLV1KxaOPYXTvjv3OO1EW+XAtxEHuBdoAZ2mtO1Rue1Vr3QroAswCKgDpUiZanPwSFxe+NqeqEDOqRzqvjZVCjBBCNHfSM0YIEVLKaiXmzjtQsbG4Pv8c1/Tp2IYOxXHOOUQM6H/E9wDxbdiAa/wEVFYmjokTUHYZ9y9EDU4Bvtdaf3HwE1rrdUqps4CVwATgpibOJkTQ5BY6ueSNuWzc4+/0dWbfLJ48rw9Wi3zfKoQQzZ28UwshQk5ZLMTceAOJH35A5MUX41m+nOJ//YvCsZfi/M/n6PLyUEcMCTMvj4q77kZFReF48EFUXFyoIwnRXGUBy6r97AOqlo7RWhcB3wBnN3EuIYJm695yznvlt6pCzIUDW/PU+X2lECOEEGEirN+tlVIRSqkblFJvV07Y51ZKaaXUVaHOJoSoP0t6OtHjribp00/8vWXsdsqeeop955xL6XPP49u+PdQRm4wuKsJ1511otxvHQw9ipKWFOpIQzVkJUH1MRiF/zBWz3z4gvckSCRFE6/NLOe/VX9lR6ATgsqHtePjsXliMI7s3qRBChJNwH6YUDTxT+XgXkAe0Dl0cIURjUHY7jlNOwT56NN6VK3F9+hmuzz7D9fHHRAwZTMSgQTB4MBhhXU+ulXa6cN19Dzo/H8cjD2O0axfqSEI0d1s58P//5cBwpZRda11RuW0EsKPJkwnRyFblFjPmzbnsLXMDcM0JHbhlVJcjflivEEKEm3C/kikHTgWytNYZwFshziOEaERKKSJ69iR2/L0kffIxkZdfhvf3dcQ/9zy2m27G8t//QgsbwqS9XioefBBz3Trsd9yBpWfPUEcSIhz8AJyglNr/JdMU/MWZH5VS45VSM4C+wGehCihEY1iyrZC/vT6nqhBz88mduXV0VynECCFEGArrnjFaazfw31DnEEIEn5GSQvQVVxA1Zgyb33uP6FmziHh3MtaPPsZ37LH4Rp2Mzs4OdcwG0VrjfvoZfPPmYbvhBqzDhoY6khDh4i3AhX8Y0g7gbeBo4EpgcOU+XwL3hSSdEI1g3qZ9XDFpPqUVXgDuOb07Vx5zVIhTCSGECFRYF2OEEEceFRFBxeDBRIwcidqwEes332CZORPrd9/h69kT36hRmP37heUQJs9bb+P97jsixowh4rRTQx1HiLChtV4N3FPtZw1crZR6AOgIbNZabwhVPiEa6ud1u7n63QW4PCZKwYNn9eKiwW1CHUsIIUQDSDFGCBG2dIf2eK75J1x8EZYfZmL9/nssTz6JmZqKOWgQZt8+mF27grX5v9V5/vM5ng8/xHraqURccnGo4wjRImittwBbQp1DiIb4btUu/m/qItw+E0PBk+f34a/9WoU6lhBCiAZq/lcoQaaUGgeMA2jTRr5hECIsxcfj++tZ+M44HWPBAiw/zMTyv/9h/eortN2O2bMnZp8++Pr2gdTUUKc9hHfWLNyvvIJl6FBs114rY/+FqCelVDHwoNb60T/Z5xbgbq11fNMlE6Jhpi/N5V8fLsFraiIsiucu7McpvTJDHUsIIUQjCHkxRim1GWhbj0Omaq0vaazza61fA14DyMnJ0Y3VrhAiBKxWzCFDMIcMAZcLY8VKjKVLsCxZimXhQiIAMzsbs0+fP3rNRESENLJv8RIqHnsco0d37HfcjrJYDn+QEOJgMYD9MPvYKvcTIix8vGAbt326DFODzWrw6iUDGN41LdSxhBBCNJKQF2OADfgn3aur3GAFEUK0IA4HZs4AzJwBeLVG5eZiLFmCsWQplm+/xfr11/5eMz16+Aszffuim7jXjG/DBlwTJ6KysnBMnIiyH+5aUgjRAPFAxWH3EqIZmPzbZu6ZthKAKJuFN8bmMLRjSmhDCSGEaFQhL8ZorUeGOoMQooVTCp2djS87G99pp/l7zaxcibFkKcbSpUQsWgSAmZWF2bcPUZlZkJYW1F4z5s48Ku66GxUVheOhB1GxsUE7lxAtkVKq/0GbsmrYBmAB2gB/A9YFPZgQAfp88Q4e/2YtOwqdVdti7VYmXTGQAW2TQphMCCFEMIS8GCOECA2tdVDnJjFNM2jte71ePB5P4A1YLNC7t/+mL8HYuRPLsmVYly3D8u13tPJ60ZMn4+neHW/XrnjbH4UvOxsiIxuc3e12483bhfvOO9BuN7YnnkAnJeHz+RrcNvh/7/6FZIInmO3LfDmiHhYA+/8yauDqylttFDA+2KGECMTni3dwx2fLcHrMA7aPO669FGKEEKKFkmKMEM1UsC9KrUFeYSgtLS1or2HgwIFYGnNuld69YdQoAEynk+LZs/HOm4/z55/xrVgBXi8A1uxsIjp1IqJjR2ydOhLRqRPWVq3qNc9Lxdat7L32WigsIvuVl4ns27fxXgf+QklEiOfBEaKJPIW/CKOAfwO/Ab/WsJ8P2Av8oLVe2HTxhKi7x79Zc0ghBuCD+du4bmSnECQSQggRbGFfjFFK3Q50rfxx/1XN5UqpYyof/6K1fqPpkwkhwpERGYl92DDiRoxA33Yrvrw83OvW4Vm3Ds+69bjXrcP5009g+j80K7udiI4diOjYkYiOnbBVFmssiQmHtO3ZuJHd/7wGPB6y33wDR48eTf3yhGgxtNY373+slLoU+I/W+okQRhIiIKap2VFY8/SJudWGLAkhhGhZwr4YA4wGjj9o29DK235SjBFC1JtSCmtmJtbMTDjuuKrtpsuFd9Nmf5Fm/Trc69bj/OlnyqZ9UbWPJSXF34umU0dsnTqhYmLYN2EiWK1kv/0W9k7yTacQjUVr3fzWrBeiDnym5rZPl9X6fFZCw4fHCiGEaJ7CvhijtT4h1BmEEEcWw+HA1q0rtm5dD9ju27u3shfNejzr1uFevx7X+x9A5fw2lsxMUl54XgoxQgSRUqov0A9IAIqARVrrJaFNJcShPD6TGz9cwlfLdgL+8XbVZ+SKjLBwy6guIckmhBAi+MK+GCOEEM2FJTmZyORkIocMqdqmPV6827bi2bwFe98+EB8fwoRCtFxKqR7AJOCQFZWUUouBy7TWK5o6lxA1cXl8XPveIr5fnQ9At8w4Lhrcmld+3EhuoZOshEhuGdWFs/plhzipEEKIYJFijBBCBJGKsBLRvj0R7dsDNNqqSUKIPyil2gKzgCRgMTAT2AlkAifgL9DMVEoN1FpvDlFMIQAod3v5++SF/LxuDwB9WifwzuUDSYiyMWZIu9CGE0II0WSkGCOEEEKIcHcv/kLMlVrrtw9+Uil1GfAmcA9wZdNGE+IPJS4PV0yaz/zNBQAMapfEm5flEOuQVfCEEOJII8UYIYQQQoS7k4EvairEAGitJyml/lq5nxAhUVju5tK35rF0exEAx3ZK4bUxOUTaLCFOJoQQIhSMUAcQQgghhGigNGDlYfZZAciqSyIk9pRWcOFrc6oKMSd2S+eNS6UQI4QQRzLpGSOEEEKIcLcXONwyZR2BgibIIsQB8opcXPTGHDbuLgPg9N6ZPH1BXyIs8p2oEEIcyeR/ASHqKCcnh5iYmFDHEEIIcagfgb8qpU6v6Uml1GjgbPwT+wrRZLbtK+e8V3+tKsScN6AVz17YTwoxQgghpBgjQkspVa/bpEmTgpbl3HPPRSnFnj17gnYOIYQQQXE/UAFMU0r9Vyl1q1JqjFLqFqXUV8BXlc8/ENKU4oiyYXcp57/6G9v2OQEYe3RbHj2nNxZDhTiZEEKI5kCGKYmQGj9+/CHbnnnmGYqKirjhhhtISEg44Lm+ffs2VTQhhBBhQmu9Wil1CjAZGMWBE/UqYCswVmu9KhT5xJFnTV4xl7wxlz2lbgD+fnx7bh/dFaWkECOEEMJPijEipCZMmHDItkmTJlFUVMSNN95Iu3btmjyTEEKI8KO1/lkp1QEYCfQH4oEiYDHwvdbaF8p84sixbHshY9+aR2G5B4B/ndiZ60d2lEKMEEKIA8gwJRGW9s/f4nQ6ufvuu+nYsSM2m41rr70WgJtvvhmlFAsWLDjk2BUrVqCUqtq3tLQUpRSffvopAKmpqVXDonr27HnI8W63mwkTJtC+fXvsdjtt27blnnvuwev1BvEVCyGEqE4pNVYp1bv6Nq21T2v9rdb6Ea31HZX330ghRjSVBZv3cfHrc6sKMXed2o0bTuwkhRghhBCHkJ4xImyZpsnpp5/O2rVrGTVqFMnJybRt27be7dhsNsaPH89HH33E6tWrueWWW4iKigIgLS3tgH211px99tksWbKE0aNHEx0dzfTp03nggQcoLCzk+eefb5TXJoQQ4rAmAROAZaGNIYTf7PV7uOqdBTg9/trf/Wf1ZMyQ+n8uEUIIcWSQYowIW06nk5KSElasWHHI3DL1YbPZmDBhAitWrGD16tXceuutpKSk1LhveXk5BQUFrFy5kvj4eADuv/9+unfvzmuvvcb999/foCxCCCGECD8/rNnFP6Yswu01MRQ8dm4fzh3QKtSxhBBCNGMyTEmEtYcffrjJix9PPvlkVSEGIC4ujgsuuAC3282SJUuaNIsQQgghQuvr5TsZ9+5C3F4Tq6F4/m/9pRAjhBDisKRnjAhrgwYNatLzGYZBv379DtneunVrAAoKCpo0jxBCCCFC59OF27nlk6WYGmxWg5cv7s/IbumhjiWEECIMSDFGhK2oqChiY2Ob9JyRkZHY7fZDtlut/n9KPp/MESmEEE0oQSnVpj4HaK23BiuMOLJMnbuFu/6zAoDICAuvj83hmE41D3MWQgghDibFGBG2/mxlAsPwj8CraYWjwsLCoGUSQgjRpG6ovNWVRj77iEbwxs8beeCr1QDE2K28fflABrZLCnEqIYQQ4UQ+kIgWKTExEYBt27YxZMiQA56rablrAIvFAkjvFiGECCPFgFTYRZPRWvPCD+t58rvfAYiPjODdKwbRp7VM3i+EEKJ+pBgjWqT9c8m8+eabnIUQwK8AACAASURBVHPOOVU9ZTZu3MjDDz9c4zHJyckAbN26lfR0Ge8thBBh4Gmt9X2hDiGODFprHvtmLS//uAGAlBgbk68cTLfMuBAnE0IIEY6kGCNapOHDh5OTk8M333zDkCFDOO6449i5cyfTpk3jtNNO46OPPjrkmJEjR/Lyyy8zduxYzjrrLKKjo0lLS2PcuHEheAXBp7UOavumaVYVwRqb1jqo+cO17aY6x58NERRCiJbINDX3fbmKSb9uBiAjzsHUqwfTITUmtMGEEEKELSnGiBbJMAy+/vprbrnlFr788kuWLVtG165deemll+jfv3+NxZhzzjmHBx98kEmTJvHUU0/hdrvp0aNHiy3GBPuC2mq1Bu0c0dHRQc3vcDiC1r7WOuyLGeGeXwgh6sNnau78bDkfLtgGQOukSN67agitk6JCnEwIIUQ4U03xLW24yMnJ0bXNJyJESxPsf/vBLDoEu6ARztmbQrjnF01PKbVQa53TyG2awIQjfZiSfHYJLo/P5KaPlvLF0lwA2qdEM/XqwWTGR4Y4mWhK8+fPJy5OhqMJcSTp2rVro392OZj0jBFCCCGEEOIgFV4f1723mG9X7QKga0Ysk68cTGqsPcTJxP+zd+dxNpb/H8dfn5kzwwyzYGyTEGWpbymJSqJ8o75F4luRVBSt32j9qpRUqu9P+56ErNGmqEQhabFFWkjKvhtmMYzZrt8f58w0yxkMM3POmPfz8TiPY677uq/7c9+Xc859Pue6r1tE5FigZIyIiIiUO8650pmUSgTYn57FzROWMn/1TgBOqxfDuH6tiY0MD3BkIiJyrFAyRkRERETEZ++BTG4cu5iFa3cDcFbDarx9w1lEVw4LcGQiInIsUTJGRERERARI2pfB9WMWsXxjIgDnnRjHyOvOJDJcp8wiIlKy9MkiIiIiIhVewt4D9Hl7Eb9tTQagY7NavNq7JZXDQgMcmYiIHIuUjBERERGRCm17chq9Ry1kzY69AFx6al1e6Hk6YaGamkhEREqHkjEiIiIiUmFt2rOP3qMWsj5hHwA9Wtbjfz1OxaNEjIiIlCIlY0RERESkQlq7K5Xeb/3AlqQ0AK49uz6Pdf0HISEW4MhERORYp2SMiIiIiFQ4q7en0HvUQnamHACgf7sTePBfzTFTIkZEREqfkjEiIiIiUqH8sjmJPm8vZM++DAAGdjyJQf88SYkYEREpM0rGiIiIiEiFsXT9Hm4Ys4iUtEwABl/SjFvaNw5wVCIiUtEoGSMiIiIiFcJ3f+7ipneWsC89C4DHLj+F685pGNigRESkQlIyRkRERESOeXN/38Et45dyIDObEIOne5zGVa2OD3RYIiJSQSkZIyIiIiLHtJm/bOU/k5eRkeUIDTGev/p0uraID3RYIiJSgYUEOgAREX/WX3c9q5qfHOgwRESknJu2bDO3T/ImYsJDQ3i9d0slYkREJOCUjBGRQ0r86CNWNT+ZxI8+CnQoIiLHJDO7zczWmlmamS01s3aBjulYMHnRBu6aupysbEflsBBGXd+KTqfUCXRYIiIiukxJRIJT/NNPkZ2WFugwRERKnZldDbwI3AYs8D1/bmYnO+c2BDS4cmz0grU8NuM3AKqEhzL6hrNo06hGgKMSERHx0sgYEQlKYfHxVGrUKNBhiIiUhbuBsc65t5xzK51z/wG2ArcGOK5y69W5a3ITMdGVPUzsf7YSMSIiElQ0MkaCQuKHH7F37lzSVq4kc+dOzOOhUpMmVOvVk5iuXfPVXd/nOvYtXkzTFT+x67XXSJ4+g8wdO/DUqUPM5ZcTN6A/Fh6eb52VzZoTedZZxD/zDDuefYbUBd+SnZpKpcaNqd63LzFdLstXP3XhIjZcfz1xt99O1fbns/PVV9m//Ceyk5Jo/OWXhNc7DoD9v/xKwptvsm/pUrJTUgitGUfV9u2Ju/VWwmrVym1v/08/se7aPoTVrs0JH31IaFRU7rKMHTtYe0V3svfv54T338tNQBzJfgKkfv89CW+PZv/PP+P27yesbl2iOl1EjQED8m0XIH3jRhLeGsW+hT+QuX0HVrkSYbVqE9HyDGoOHERotVjWX3c9+xcvBmDbgw+x7cGHctdv9OVswo/zHguXmUni1PdI+vhj0v/8E5eVRfgJDYnt0YPYXr2wkL9zv+mbN/PXPy8iuls34gYMYOdLL7Fv0SKy9uzh+LFjqNK6de52m638LV/MLjubxClTSfrwQw789Sc4qNS4MTHduxN79VX5tgOwqvnJRJx1Fsc9+ww7X3yJ1G++IXPXLuo88TixV1xR6PiJiBRkZv8G2gOnAy2AKGCic+7ag6xTD3gMuBiogTe5Mg0Y5pzbk6deOHAm8EyBJmYB55bgblQIzjmemfU7r879E4AaVcIZf2MbTo6PDnBkIiIi+SkZI0Fh27BhVGrcmMhWrfDUrElWYiJ7589ny/3/5cDatdQaOLDQOpsH3UXazz8T1bkz5vGQMmcOu155hbRffqHe669hZvnqZyUns75XL0Kio4ntfgVZySkkz5zJlvvuI3PHdmrceGOhbexfvpyEkSOJOPNMYrt3J2vPHiwsDICUuXPZfOdAHBDdqRNh8fGk/foriZPfZe9Xc2gwaVJu0iaiRQtqDRrEjhEj2PrwI9R74XnAm1jYcv9/yUpIoO5TT/kdCVKc/dzz7hS2DRtGSEQEURdfjKdGdVIXLSLhrVGkzJ1Lw0mTCI32npBm7tjJuiuvIjs1larntyPqok649ANkbNpM0ifTqXZNb0KrxRJzRTdCo6PY+9Ucqna8kErNmuVuLye54zIy2HTb7aQuWED4CScQfdmlWHg4+xYtZvsTw9n/0wri/+9/hfYtY+MG1vXsSXjDBkRfdhnuQBqhVaoe9P/K1v/+l+QZn+KpW4fYHv8GM1K+/JLtjz3G/h+XEj9iRKF1spOSWNezFyGRkVS96J9YSAieGvqFVEQO2xC8SZi9wCag2cEqm1lj4DugFvAxsApoDQwELjazts65BF/1OCAU2F6gme3AP0tqByoC5xyPzfiNMd+uA6B2dCUm3tSGE2tFHXxFERGRAFAyRoJCo+mfEF6/fr4yl57OhgE3k/DWKKr17ElY7dr5lqf/+SeNZkwnNCYGgJp3DWLDddezd948kj/5hJjLL89X/8DvvxN18cUc99yzuaMnagzoz9oe/2bHCy8S1akT4ccfn2+d1G+/pc6jj1Kt59X5yrNTU9n6wIO4rCwajHuHyFatcpfteustdj77HNseeYT6o9/OLa/ery/7Fi0iZeZM9rx7NtV6Xs2u115n3w8/EHN5V2Kv6Ob32BzufmZs3sz24cMJiYyk4XtT8yV2tg4bRuLkd9kx4hnqPv4YAMmzviA7KYlaDzxA9ev65N+/ffvAd4xyRo94kzEd/Y4m2fXmm6QuWEBs72uo/cADWGgozjnIzmbbI0NJ+vBDojp3Iqpjx3zr7V/6IzUG9KfmXXf53feCkj/9lOQZn1KpeXMajB9HSJUq3mMy8E42XHc9yTM+pUr79sRcln+k04HVq4nu2pW6w5/APHrbE5FiuwtvEmYN3hEycw9R/zW8iZg7nXMv5xSa2XO+toYDtxRYxxX42/yUSQHTlm1mxBe/syVxPxHhoexLzwLguNgIJvVvQ4MaVQIcoVRU2dnZZGVl4ZzznhOJSMCYGWZGaGgoISHBM1OLvpVIUCiYiAGw8HCqXdOLfT/8QOr33xPbLX+yIu62W3MTFAAhlSpR8+672XD99SR+8GGhZAyhodS69558l7GE16tH9WuvZderr5L08SfUvOP2fKtUat68UCIGIGXOHLISE4m+9NJ8iRiAGn37kvjuFFK/+46MLVsIi/fePtPMqPv0U6ztdgXbn3oKl53FrtdfJ/yEE6gzdGiRx+Zw9zNp+nRcRgbV+/YtNMKm1qBBJH8ynaRPPqH2w0MIyXN5U0jlSoW2GRIZWWQ8BbnsbBInTiI0Lo7agwdjoaF5Ggqh5v33kfTRRyRPn0HVCy/0reQ9KQmtUYPqt9120JOUvMsSP/gQgBqDBmGRkbnLLCKCuLvvZtONN5L0/vtEX3ppvjYsLIya990LOUmiQ8jOzi61N+qyOCErOCpMRI6Ocy43+XKo15eZNQI6AeuAVwssHgoMAPqY2T3OuVRgF5AFFLzFTy0Kj5aRPKYt28wDH/7M/gxvAiYnERNXNZz3bjmH+NiIQIYnFVh2djaZmZnUqFGDqKgoPB6PPptFAsQ5R2ZmJikpKSQkJODxeIImIaNkjASFjC1bSBg1itTvfyBj61ZcgbvoZG7fUWidyLPOKlzW6kzweEhbubLQsrC6dQmvV6/wOq1bw6uv+l0n4tRT/cab9qt3HpPIs9sUWmYeD5GtWpG0eTNpK1fmJmMAPNWqcdwzI1h/Q1+2P/Y4VqkSxz3/3EGTH4e7nzkxVfETU2hMDJWbN2ffkiWk//UXlZs1I/rCC9n1/Atse/wJUhd8S5XzziOy5RmEn3hioRMGw3KfCy5LX7+erMREwhs0IOGNN3PLXZ4fdK1yZdL/+uvvdX3PlZs1I7RS4WRQvm3n2V7ab79BSAhV27QuFEeV1mdBaChpK1cVWhZ23HGExcUddDt5hYSElNpJU1mcjOmETySgfFlnZjnnsvMucM6lmNm3eJM1ZwNfOefSzWwpcBHwXp7qFwEflEXA5dWIL37PTcTk5QkJUSJGAiorK4saNWpQvXr1QIciUuGZGWFhYbmvx927dysZUxLM7CSgO9AZOAmoDewBfgBeyPtLlgSv9I0bWXflVWQlJxN55plUaduWkKiqWEgoGZs3kzRtGi49vdB6oX6+XFtoKKGxsWQlJBRaVtQcIZ6a3nayU1IKLyviC3zW3hTfujX9t1nLW56VXLjNyqedRljdumRs2kRkm9ZUbnbQqQcOez8PP6ZkwJugaPjeVHa+8gqp3ywgZfZsb726danRt2+hS5eKkpWYCHiTMrteLfgj8N+y9+0rVOZv3w4me+9eQmNi/E5cbB4PodViyUrYfdTbERE5Ck19z6uLWP4H3mRME+ArX9lzwHgzWwR8i/cSpnjgDX8NmNkAvCNsqO9nZGlFsSVxv9/y7clpfstFyopzjqgozVUkEmyioqJI8PM9MVDKdTIGeBy4GvgN+AzYjfckqCvQ1cwGOudeCmB8chh2jxlLVmIidZ98ktju+ecjSZrxKUnTpvldL2vXLkLyjDoBcFlZZCUmElK18CSwmUW88DJ37gIgxN+HZhEjDEKrRuXG4LfNHTu99aIKx7F9+JNkbNpEaLVqpM7/hqTp04np0sVvOznbOJz9zIkpc9cuKp100kFi+ns/KzVuTL3nn8dlZpK26ndSv/+OPRMmsv3JJwmJjCD23/8uMq4cOTFEXfRP6r2cOzXC4V2OU8wRHCFVq5KVlITLyCiUkHGZmWTt8d/3xd2OiMhRyLmuNKmI5TnlsTkFzrkpZlYD70TBdYFfgH8559b7a8A5NxIYCdCqVasKORlF6oFMwjwhpGdmF1qmUTESaM45PJqjTiToeDyeoJrDKTjG5xy5mUBL59wpzrmbnXMPOOe6Ax2BDGCEmdUNbIhyKOkbNgAQ1alToWX7fLdU9sffsn1LlkJmJpWbNy+0LGPrVtI3bS68zqJFAH7XKUrlk711U33r5uUyM9n344++eifnW5Y8cyaJU6cS2aoVJ3z4AaHVq7Nt6KOkr1tX5LYOdz8PFlNWcjJpq1ZhlSoR3rhxoeXm8RDxj1OI69+f45713l015cuv/l4e6nuryC48HLxSo0aEREezf/lPuIyMIvejJFRu3hyys737X8C+JUsgK6vQMRcRCTI52eF8Z4POudeccw2dc5Wcc2c65+YHILZyIWl/Bn3eXug3ERMRFsp9nZv6WUukbOmSYZHgE2yvy3KdjHHOjXXOLfNT/jUwDwgHzi3ruKR4wo7z3v55X4Ekwt5vFpD4/vtFrrfrtdfJSvr7h8fsAwfY+dxzAMR0L3zHH7Ky2PHsM7jsv0/e0jdtYveECeDxENO16NEpBUV17EhoTAzJn37G/uXL8y3b/c44MjZupMq55+SbLyZ940a2PvwIobGxxD8zgrC6dYn/39Nk79/PprvvJtvPpVjF2c/oLl0hLIw9EyaSvj7/j6k7X3yJ7L17ienaJXfy3v0rVpDpZ2RP5i7vCCKLqJxbFhrr/QE3Y8vWQvXN46H6tb3J3LmTbcOHk51WeHh45o6dHFizxu/+FUdMj+4A7HrhebL3/z08PXv/fnY+93y+OiIiAZLzhh1TxPLoAvWkGHanptN71A/8uMF7iWzzOlHEx1TG8N5B6anup9LtjOMCG6SIiMhhOJbHz+X8RJ8Z0CjkkKpd04ukDz9k86BBRHXqhKd2LQ788Qep3ywg+pKLSf7sc7/rhTduzF+XdSGqc2fM4yFlzhwyNmygavv2he+kBFRq2pS0n1awtse/qdr2XLJS9pL8+edkJydT6757/d7RqSghVapQ98nhbBp0F+v7XEfUxRcTVrcuab/+Suq33xJaM446w4bl1ncZGWy++x6yU1Ko99qrhNXx3jSjart2VO/bl92jR7Pjf/9HnYeHHPF+htc7jtoPDGb7Y4+ztnsPoi65GE+16uxbvJj9y5cT3qgRte65J7d+0owZ7Jk0mcizWhFevwGh0dGkb9zI3rlzsfBwql93XW7diNNPxyIi2D1uHFlJSXjivPPvVLv2WkKjooi79VbSVv1O4rtT2Dt3HlXObkNorVpkJewmff169i9bRs1BA6l04omHfYz9ibnsMvZ+NYeUmTNZ26UrVTt2BDP2fvUVGZs2EXXxxQe95EtEpAz87ntuUsTynOtIi5pTRoqwIyWNa0ctZPX2vQBc8o86vNjzDMI95fq3RRERqaCOyWSMmTXAe6nSPkDDfINc5aZNqf/OO+x88UX2zp8PmZlUataMei+/REhUdJHJmONeeJ5dr71G8vQZZO7Ygad2beLuuIMaA/r7HYIWGh3N8SNHsuOZZ0j88COy9+4l/MTG1Oj7MDFdLit23FEdO9Jw0kR2vfkmqQsWkLV3L564OGJ7Xk3crbcRVrtWbt0dzz5H2s8/U61PH6Jybu/sU+uuQexbsoQ9EycSeXYboi+66Ij3s/o11xBevwG7R48mZdZs3P79eOrWpfqN/Yi7+WZCo6Nz68ZceikuPZ39y5aT/NtKXFoantq1if7Xv6je9wYqN/n7e0RoTAz1XnqRXa+8SuJHH+F8k/FGd+lKaFQUFhZGvVdfIfmTT0j8aBop874me18qnmrVCatXj7g7/0P0ZcU/xv7EP/sMe85qRfKHH5E4dSoA4Y0aUXvIEGJ79SyRbYiIHIWcmwd0MrOQvHdUMrMooC2wH+/NBuQwbUncT+9RC1m7KxWAK844jhH/Pg1PqBIxIiJSPlkwTWBTEsysEt67E7QF7nfOjThE/bx3JDhz/Xq/c+VJEFnf5zr2LV5M81WFb0VdlJXNmhN51lk0GD+uFCMrWUeyn8GkNN9bnHOles1nabdf2spz7HJsMrOlzrlWgY6jJJhZB7wJl4nOuWuLqPMF3jsm3emcezlP+XPAXcCbzrlbSiKeVq1auSVLlpREU0FrfUIq17y1kM2+uyf1al2f4d3+QUiI3uukbCxevJjoPD9oHcqBAwdo0qSowXEVR0SEdzJtM+OXX36hUaNGfut17tyZ+fO9v5+PHDmSPn0K39EzNTWV0aNH8+mnn/Lbb7+RmJhIZGQkJ554Ih07duSGG27ghBNOyK3fv39/JkyYAMCDDz7Iww8/7HfbEyZMoH///gC0a9eOWbNm+a331VdfMX78eH744Qd27NiBc474+HjatGnD1VdfTefOnQ/zqEigrV69mkqVKh2yXrNmzUr93CXgPyeY2Tozc8V4TDhIW6HAeLyJmCnAM4favnNupHOulXOuVc0ibgksIiIiFZeZdTOzsWY2FhjsKz4np8zMCp5v3AbsAF4ys2lm9pSZzcGbiFkNPFRmwZdza3akcOUb3+cmYvq1PYEnr1AiRqS8yLl7zdixY/0uX7NmDd98881B7z61cOFCTjvtNO6//37WrFlD586dGTRoEL1796Zy5co8++yztGjRgmXLCk0lisfj4Z133iErq/BNKABGjx590G2npKRw1VVXcdlll/Hxxx/TvHlz+vfvz+23384ZZ5zBF198Qbdu3Rg8eHCRbYgUJRguU/oTKDzjZ9G2+Cv0JWImAFcCU4Fr3bE27EdEREQC4XTg+gJljXwPgPXAvTkLnHN/mlkr4DHgYuBfwFbgJWCYc253qUd8DPh1SxLXvb2IhFTvBPf/ufBE7r6oiUb/iZQjtWrVok6dOowfP55HHnmkUOJjzJgxOOe45JJLmD59eqH1f//9d7p27crevXt5/PHHGTRoUKE21q1bx0MPPURKSkqh9XPanTVrFpdcckm+ZatWreL777+na9eufPLJJ4XWzc7Opnfv3syePZv27dszevRo4vPcnAO8o6Deeust1pTAjSqk4gn4yBjnXEfnXLNiPO4v2IaZeYDJQE9gEnCNc04T94qIiMhRc8496pyzgzwa+llno3Our3OurnMu3DnXwDk3UImYw7Nswx56jfwhNxFzX+em3NOpqRIxIuVQv3792LZtG5999lm+8oyMDCZOnMjZZ5/NySef7Hfdu+++m+TkZO655x7uvfdev6NYGjZsyMSJE2nTpk2hZT179iQiIoLRo0cXWpZT1rdvX7/bnjJlCrNnz6Zx48Z88MEHhRIxAJUqVeKOO+7gf//7n982RA4m4MmYo2Vm4cD7eEfEjAP6OOf8j0OTY0KD8eOKPY9K81Ury9V8MXBk+ykiIlLeLfwrgWtHLSQ5zfu72tAuJ3P7BUd3Nz6RY9H0FVu58Plvaf7oV1z4/LdMX7E10CH5ddVVV1GlSpVClyrNmDGD7du3069fP7/rrVu3jjlz5lC5cmXuvvvuQ27H3zwgsbGxdO/enZkzZ7J169/H58CBA0yaNIl27dpx0kknFVoP/k7WDBo0iCpVqhR72yKHUq6TMb7Jej8CLgfeBvrmvWuBiIiIiJQfX6/eyfVjFpGanoUZPN39VPq2PeHQK4pUMNNXbOXh6avYkpSGA7YkpfHw9FVBmZCJioriyiuvZNasWWzatCm3fMyYMURHR9OjRw+/63333XcAnHHGGcTGxh7x9vv27UtmZmbuhL4AH3/8MQkJCUWOisnMzGTRokUAXHDBBUe8bZGDCYY5Y47GG3ivw94FbAYe8TN8dZ5zbl4ZxyUiIiIixTDr123cMWkZ6VnZhIYYz13VgstPPy7QYYmUqCc/X83KbYXnNimunzYlkZ6Vf3rMtIxsHvp4JVOX+p1is1ia14niwUtK7o5Qffv2ZezYsYwbN44HH3yQ9evX89VXX3HTTTcRGRnpd52ckSzHHXd07wNt27alWbNmjBkzhnvvvRczY8yYMVSrVo0rrriCzZs3F1pn9+7dpKenl8j2RYpS3pMxOT+VxAGPHKTevNIPRURERESOxCc/beGuKcvJynaEhRov92rJxf+oE+iwRErcym0pLF6fWGrtp2e5Um3/SLVu3Zp//OMfvPPOOwwePJixY8eSnZ1d5MgUgJx7sZTEXFE33HADgwcPZt68edSvX5+vv/6aW2+9lcqVKx902yKlqVwnY5xzHQIdg4iIiIgcuamLN/LfD1fgHFTyhPBmnzPp0LRWoMMSKRXN60SVSDv+RsYAhIcaLerFHHX7JRVnXn379uWee+5h1qxZjBs3jpYtW3L66acXWT9nwlx/I1eKq3fv3gwdOpQxY8ZQv359nHNFzlUDUKNGDcLDw0lPT2fLli00atSoyLoiR6pcJ2NEREREpPx657t1DP3kVwAiw0N5+/qzOKdxjQBHJVJ6SurSn5w5Y9Iy/p4us3JYCI93aUaX0+qWyDZK2jXXXMOQIUO444472LJlCw8++OBB65977rkA/PjjjyQlJRETc+RJpri4uNxbWEdHR9OmTRtOOeWUIut7PB5at27NggULmDt3rpIxUirK9QS+IiIiIlI+vfH1n7mJmKjKHibc1EaJGJHD1OW0ujzepRnxMZUxID6mclAnYsB7Z6OcOVqqVKnCVVddddD6DRs25MILLyQtLY3nn3/+kO0fOHDgoMv79evHgQMH2Llz50FHxeStD/DCCy+wb9++o9q2iD8aGSMiIiIiZcY5x/Nf/sFLX/0BQPUq4Yzr15p/HHf0l1aIVCRdTqsb1MkXf4YOHcrll19OXFwcUVGHvhTqueee4/zzz2fEiBHExsZyxx134PHk/wq7YcMGHnroIfr378/5559fZFvt27fnvffeIzs7m4suuuiQ27766quZPHkys2fP5sorr2TUqFHUrZv/eKenpzN69GhWrVrFCy+8cMg2RfJSMkZEREREyoRzjic/W8lb36wFoGZUJSbd1IaTapf8/BQiEnzq169P/fr1D7t+06ZN+eSTT+jVqxcPPPAAr776KhdccAF169YlNTWVn3/+me+//x4z45577jloW2bGZZdddtjbDgkJYeLEifTr148ZM2Zw8sknc8EFF9C0aVNCQ0PZsGED8+bNY+fOnQwaNOiw2xXJoWSMiIiIiJS67GzHwx//wsSFGwA4LjaCiTe1oWFclQBHJiLBrE2bNqxYsYLRo0fz6aefMnPmTPbs2UNkZCSNGzdm4MCB3HjjjTRs2LDEtx0VFcV7773Hl19+yfjx41m4cCFz587FOUfdunW54IIL6N27N506dSrxbcuxz3Tbrr+1atXKLVmyJNBhiBwTSvO9xTlXIrc5DFT7pa08xy7HJjNb6pxrFeg4jkXl5dwlMyub+z9YwYc/eu+K0qBGJBNvakO9apEBjkzk0BYvXkx0dPRh1z9w4ABNmpTMRL0iUrJWr15NpUqVDlmvWbNmpX7uopExIiIiIlJq0jOzuWvKcj79eSsAJ9WqysSbjKPcdAAAIABJREFU2lArunKAIxMREQkcJWNEREREpFSkZWRx+8Qf+WrVDgBOrhvN+BtbU6PqoX+VFBEROZYpGSMipaI0L5Up7ctwdJmPiMjR25eeyYBxS1mwZhcAZ9SPZWzf1sREhAU4MhERkcBTMkZERERESlRyWgb9xixmyfo9AJzdqDqjrj+LqpV06ikiIgJKxoiIiIhICUrcl851oxexYlMSAOc3qcmb155JRHhogCMTEREJHkrGiIiIiEiJ2JlygD5vL2TVthQAOp1cm5evOYNKHiViRERE8lIyRkRERESO2tak/fR+ayF/7UoFoGuLeJ69qgVhoSEBjkxERCT4KBkjIiIiIkdlQ8I+rhn1A5v27Afg6lbH82T3UwkN0YToIiIi/igZIyIiIiJHbM2OvVw7aiHbktMAuOHchjxy2cmEKBEjIiJSJCVjREREROSIrNyaTJ+3F7JrbzoAt3ZozP2dm2KmRIyIiMjBKBkjIiIiIsX208ZErhu9iKT9GQDc26kJd1x4UoCjEhERKR+UjBERERGRYlm8bjd9xyxm74FMAIZc2pyb2jUKcFQiIiLlh5IxIiIiInLYFvyxi5vGLSYtIxszeKLbP+jdpkGgwxIRESlXdK9BERERETksX/62nX7veBMxIQbPXtlCiRgRETksnTp1IiIiItBhBA0lY0RERETkkGas2MItE5aSnpmNJ8R45ZqWdG9ZL9BhiYjIERg/fjwRERGMHz8+0KFUWLpMSUREREQO6v2lm7j//Z/IdhDuCeGNa1tyYbPagQ5LRETKkVGjRrF///5AhxE0lIwRERERkSKN/2E9D0/7BYCIsFBGXd+KtifGBTgqEREpb+rXrx/oEIKKLlMSEREREb/emv9XbiImqpKH8Te2ViJGRA7L+PHj6dmzJ82bN6datWrUqlWLCy64gMmTJxeqmzOXyIEDB3j00Udp1qwZMTExnHzyyQwfPpz09PRC60RERNCpUye2bNlCv379qF+/PtWqVePcc8/l3XffLVR//vz5RERE8MQTT7B48WKuuOIK4uPjiYiIYP369bn1fvzxR3r27En9+vWJiYmhSZMmDBw4kK1bt+Zrb9GiRURHR9O8eXOSkpLyLdu6dSsNGjQgLi6O33///aj2E2Du3Ll07dqV+Ph4YmNjOfXUUxkyZEih7QKsXbuW22+/nVNOOYVq1aoRHx9Pq1at+M9//kNCQkJuHAMGDABgwIABRERE5D7yHovMzEzefPNNzj//fGrVqkX16tU5++yzef3118nOzs633fXr1xMREUH//v35448/uPbaa6lfvz6RkZHMnz8/3/4XlJ2dzVtvvUXbtm2Ji4ujRo0atG3blpEjRxbaDvzd99u2bePWW2+lUaNGVKlSpdxdcqWRMSIiIiKSj3OOl75aw/NfrgYgNjKM8f3acGq9mABHJiI5Qn79AM/XT2LJm3HRx5HZ/kGyT+kR6LBy3XnnnTRv3pzzzjuPOnXqsHv3bmbOnEm/fv1YvXo1Q4cOLbTOtddey5IlS7jiiisICwtjxowZPPHEE/z444+8//77mFm++omJiVxwwQXExsbSp08fkpKS+OCDD+jbty9btmzh7rvvLrSNhQsXMmLECM4991yuu+46EhISCAsLA+Czzz6jV69eOOe44oorqF+/PsuWLWPkyJFMnz6duXPn0qCBd9Ly1q1bM2zYMB588EFuu+02Jk6cCHgTC/369WPHjh289dZbNG3a9Kj2c9SoUdx5551UqVKF7t27U7NmTebPn8+zzz7LZ599xpw5c4iNjQW8SaDzzjuP5ORkLr74Yrp160ZaWhrr169n0qRJ3HLLLdSoUYM+ffoQExPDjBkzuOyyy2jRokXu9mJivO/zGRkZ9OjRg9mzZ9OkSROuvvpqKlWqxPz587n77rtZvHgxo0ePLrRvf/31F+effz4nnngiV199NWlpaURFRR30/0q/fv2YMmUK9erV44YbbsDM+OSTTxg4cCDfffcdY8eOLbTOnj17aN++PVWrVuXyyy8nJCSEWrVqHXQ7Qcc5p4fvceaZZzoREREpWcASFwSf88fiozTOXbKzs92Tn/3mGvx3hmvw3xnuzMdnu5Vbk0p8OyLlxaJFi9yqVasO+/HTTz+5/fv3l+rjwJIJLvvx2s4Njc59ZD9e2x1YMqHUt324j19//bVQWVJSkuvQoYPzeDxuzZo1ueXt2rVzgDvxxBPdli1bcsv37NnjWrdu7QD39ttv52sLcIDr3r27S01NzS1fuXKlq1atmgsLC3O//fZbbvkXX3yRu87LL79cKLadO3e6GjVquJCQEDd79ux8yx5//HEHuI4dO+Yr37dvn7vkkkvytTlkyBAHuGuuuabQNoq7n6tWrXLh4eEuKirKLV++PF9bAwYMcIDr169fbtmzzz7rADdixIhC2961a5fbvXt37t8jR450gBs5cqTf/nvooYcc4G655Ra3d+/e3PK9e/e666+/3gFu6tSp+WLNOb733Xef3zZz9j9v2dixYx3gTj/9dLdz58588bZs2dIBbsyYMX77/pprrnEpKSnF+n/5008/HdbruCzOXTQyRkREREQAyM52PDr9V8Z97x2mXjemMhNvakOjmlUDHJnIscHz5RBCtv961O3YlqVY1oH8ZZn7CfvsLtzyCUfdfnbtU8j85xNH1UajRo0KlYWHh3PzzTczb9485s2bR+/evfMtf+CBB6hWrVru35UrV+bxxx+nc+fOvPPOO1xzzTX56oeGhjJ8+HBCQv6efaNhw4bcdtttDB8+nEmTJvHQQw/lW6dFixbcdNNNhWKbPn06CQkJXHXVVZx33nn5lg0aNIhRo0bx1VdfsWHDhty5T8yMkSNH0qZNG+677z6ysrJ46qmnaNKkCS+99FKRx+Zw9/Pdd98lPT2dgQMHFhph8+ijjzJ58mQmTZrEc889R6VKlXKX+bsUqEqVKkXGU1B2djZvvPEGderUYcSIEYSGhuYuCw0N5emnn2bcuHG8++67dOnSJd+6tWvXLnTMD2bcuHEAPP7441St+vdnTZUqVXjiiSf417/+xdixY+nZs2e+9cLDw3nqqafweMpvSqP8Ri4iIiIiJSYr2zH4gxW8t3QTAPWrRzLxpjYcXz0ywJGJHDtCtv9KyMbvSq19yzqAlWL7xbFhwwaee+455s6dy8aNGwvdRWfLli2F1imYBAFo27YtHo+Hn376qdCy448/noYNGxYqP//88xk+fDjLly8vtKxVq1Z+482p26FDh0LLPB4P5513HuvXr+enn37KNxFtXFwc77zzDhdffDGDBg2icuXKjB8//qDJj8Pdz2XLlhUZU7Vq1WjRogULFizg999/57TTTuPSSy9l6NChDBo0iNmzZ3PRRRdxzjnn0Lx580KXeB3MH3/8QUJCAieeeCJPP/203zoRERH55sPJceqpp+ZLDB3K8uXLCQkJ4fzzzy+0rF27doSGhvrt+wYNGpS/y5IKUDJGREREpILLyMrmrinLmbHCO0Fl45pVmHjT2dSJqRzgyESOLdm1TymRdvyNjAFwoZVw8WcedftHG+fatWtp164de/bsoW3btnTs2JGYmBhCQ0NZv349EyZM4MCBwvHXrl27UFloaCg1atRgx44dhZYV9WU8p53k5OTD2kbeunXq1PG7PKfc36S5rVq14vjjj2fdunW0b9+e0047zW8bB4vB334WN6YGDRrwzTff8MQTTzB79mw+/vhjAOrVq8egQYO4/fbbDxpXjpyJftesWcPw4cOLrLd3795CZUUd36IkJSVRvXp1wsPDCy3zeDzExcX57fvibicYKRkjIiIiUoGlZWRxx6RlfLlyOwDN6kQx4aY2xFU9/F82ReTwHO2lPzlCfv2AsM/vwTL/Hm3iPBFkXPJsUEzi++KLL5KQkMDIkSPp06dPvmVTpkxhwgT/l1Jt37690O2Ps7KySEhIIDo6ulB9f1/Sc9oB/K5T1AiRnLo56xa0bdu2Itu89957WbduHXFxcXzxxRdMnjyZXr16+W0nZxuHs595Yzr55JMPK6ZmzZoxYcIEMjMzWbFiBXPmzOH111/n3nvvpUqVKtxwww1FxpUjZxLfrl27MmXKlEPWz6s4I3BytrV7924yMjJyJ1LOkZmZya5du4rVj+WJbm0tIiIiUkHtT8+i/7gluYmYFvVieHfA2UrEiAS57FN6eBMv0fVwGNnR9YImEQPeO+oAdOvWrdCyBQsWFLmev2XffvstmZmZ+e74k2Pjxo35bsWcI+dWyqeffvphx5xTN2fdvDIzM/nuu+/8tvnBBx/w9ttvc9555/Hdd99Rs2ZN7rzzTtasWVPktg53Pw8WU2JiIitWrKBy5co0a9as0HKPx0PLli259957eeeddwDvvDg5cuaBycrKKrRu06ZNiY2NZdGiRWRkZBS5HyWhRYsWZGdn+z0mCxYsICsrq1j9WJ4oGSMiIiJSgUxbtpm2T8/hhMGf0mLYLL75YxcArRtWZ8JNbYiNLDxUXESCT/YpPUi/bSkHBm8j/balQZOIAXJv/1wwiTB79mzGjBlT5HpPPfUUe/bsyf07LS2Nhx9+GIDrrruuUP2srCweeughsrOzc8vWrVvHa6+9hsfjOejolIK6dOlC9erVmTp1KgsXLsy37OWXX2bt2rVceOGF+Ua0rF27lttvv50aNWowZswYjj/+eEaNGkVqaip9+vTxeylWcfazV69ehIWF8frrr/Pnn3/ma2PYsGEkJyfTq1ev3DlaFi9e7HdkT84IorwT+1avXh3wJrQK8ng83HrrrWzbto177rmn0Hw/4L2N9sqVK/3uX3Hk7O/DDz/Mvn37csv37dvHkCFDALj++uuPejvBSJcpiYiIiFQQ05Zt5oEPf2Z/hveX0PQs7xeYprWr8k6/1kSEhx5sdRGRwzJgwADGjRtH79696datG/Hx8fz222/MmjWLHj168P777/tdr1mzZrRs2ZIrrriCsLAwZsyYwV9//cUll1xS6E5K4J0sdvHixZx77rl07NiR5ORk3n//fRITExk+fLjfOzoVpWrVqrzxxhv07t2bTp060b17d44//niWLVvGl19+SZ06dXjllVdy62dkZNCnTx+SkpJ47733qFevHgCdOnVi4MCBvPDCCwwePJjnn3/+iPezQYMGjBgxgkGDBnHOOefQo0cP4uLi+Oabb1i4cCFNmzbliSf+vvRtypQpvPnmm7Rr147GjRsTGxvLX3/9xWeffUalSpW44447cuu2adOGyMhIXnnlFXbv3p07B8utt95KTEwMDzzwAD///DNvvfUWn376KR06dCA+Pp6dO3eyZs0avv/+ex599FGaN29+2MfYn549ezJjxgw++OADWrZsSZcuXTAzpk+fzrp16+jRo0exkmrliZIxIiIiIhXEiC9+z03E5JWSlqlEjIiUmFNPPZWZM2cybNgwvvjiCzIzMzn11FN59913iY2NLTIZM2HCBJ566ineffddtm7dSnx8PEOGDOHee+/1O0dIbGws06ZN46GHHmL8+PEkJyfTvHlzBg4cWOhWyIejS5cuzJkzh//7v//jyy+/JCkpidq1a9O/f38GDx5MfHx8bt0hQ4awdOlSbrvtNi677LJ87Tz22GMsWLCAN954gw4dOnD55Zcf8X7efPPNNG7cmBdeeIFp06axb98+6tWrx1133cX9999PbGxsbt2rrrqK9PR0fvjhB5YvX87+/fuJj4/nyiuvZODAgZxyyt8TM1erVo3JkyczfPhwxo8fT2pqKuAdjRMTE0NYWBhTp05l8uTJjB8/ns8//5y9e/cSFxdHw4YNGTp06BEdY3/GjRtHu3btGDduHG+//TbgTVgNHDiQAQMGlMg2gpE55wIdQ9Bo1aqVW7JkSaDDEBEROaaY2VLnnP97icpRKe65ywmDP8XfmZ8Ba5++tMTiEjmWLF682O8EokU5cOAATZo0KcWIjj2dOnXim2++8Xs5TFEiIiJo164ds2bNKsXIStaR7KeUrNWrVx/WrbebNWtW6ucumjNGREREpIKIj40oVrmIiIiUDiVjRERERCqI+zo3JSIs/+VIEWGh3Ne5aYAiEhERqZg0Z4yIiIhIBdHtjOMA79wxWxL3Ex8bwX2dm+aWi4iISNlQMkZERESkAul2xnFKvohIUDmSeV/K47wr5Wl+Gyl9ukxJRERERERERKQMKRkjIiIiIiIiIlKGlIwRERERERERESlDSsaIiIiIiIiUIOdcoEMQkQKC7XWpZIyIiIiIiEgJMTMyMzMDHYaIFJCZmYmZBTqMXOU6GWNmx5vZa2a20My2mdkBM9tiZt+YWV8zCwt0jCIiIiIiUnGYGSkpKYEOQ0QKSElJCapkTHm/tXVjoDewEJgG7AZqAJcAo4HrzOwi55xS0yIiIiIiUupCQ0NJSEgAICoqCo/HE1RfAEUqEuccmZmZpKSkkJCQgMcTPCmQ4InkyHwHVHPOZect9I2ImQV0ALoDU8s+NBERERERqWhCQkLweDzs3r2bhISEoJunQqSiMTPMDI/HQ0hI8FwcVK6TMc659CLKM8xsGt5kzEllGpSIiIiIiFRoISEhQfWlT0SCzzH5DmFmocC/fH+uCGQsIiIiIiIiIiJ5leuRMTnMLA64AzCgJnARcCIwCZgRwNBERERERERERPI5JpIxQBwwNM/fDngGeNAd4iJNMxsADACoX79+qQUoIiIiIiIiIgJBcJmSma0zM1eMx4SCbTjnVjnnDG9yqQFwF94Ey3wzq36w7TvnRjrnWjnnWtWsWbNU9lFEREREREREJEcwjIz5E0grRv0tRS1wzmUBG4AXzWw7MBl4DO8lTCIiIiIiIiIiARfwZIxzrmMpNf2577lDKbUvIiIiIiIiIlJsAb9MqRQd53vODGgUIiIiIiIiIiJ5lOtkjJm1MbNIP+VVgRd9f35atlGJiIiIiIiIiBTNDnGzoaBmZtPwXob0Nd65YvYBxwOXALHAd0Bn59zew2xvJ7C+VII9PHHArgBuv7zR8So+HbPi0fEqPh2z4qkox6uBc06z5JeCIDh3CRYV5bVU3qhfgo/6JDipX4JPU+dcVGluIOBzxhylt4BU4Cy8SZlIYA+wFJgKjHbOHfZlSoE+UTSzJc65VoGMoTzR8So+HbPi0fEqPh2z4tHxkqMV6HOXYKHXUnBSvwQf9UlwUr8EHzNbUtrbKNfJGOfcp+gyJBEREREREREpR8r1nDEiIiIiIiIiIuWNkjHBZWSgAyhndLyKT8eseHS8ik/HrHh0vERKhl5LwUn9EnzUJ8FJ/RJ8Sr1PyvUEviIiIiIiIiIi5Y1GxoiIiIiIiIiIlCElY0REREREADN70Mycmb0S6FgqOjN7wMwWm1myme00s+lm9o9Ax1VRmNltZrbWzNLMbKmZtQt0TBWdXhPB7Ug+P5SMCUJmdryZvWZmC81sm5kdMLMtZvaNmfU1s7BAxxhszOwkM/uvmc0xs41mlm5m283sYzO7INDxBRszCzOzgWY2xsyW+46XM7ObAh1boJlZPTMb7XvNHTCzdWb2gplVC3RswcjM/m1mL/ven5J9/48mBDquYGVmNczsJjP7yMzWmNl+M0syswVmdqOZ6XNZJEDM7GygP7Ai0LEIAB2A14BzgQuBTOBLM6seyKAqAjO7GngReBI4A/gO+NzM6gc0MOmAXhNB6Ug/PzRnTBAysw7Ax8BC4C9gN1ADuAQ4HpgHXOScywxQiEHHzN4FrgZ+AxbgPWZNga5AKDDQOfdS4CIMLmYWC+zx/bkdSMf7f6u/c25UwAILMDNrjPeEoxbe1+AqoDVwAfA70NY5lxC4CIOPmS0HWgB7gU1AM2Cic+7agAYWpMzsFuB1YCswF9gA1Aa6AzHAB8CVTh/OImXKzGKAH/GeTD8C/OKcuyOwUUleZlYVSAK6OeemBzqeY5mZLQRWOOf65yn7A3jfOfdA4CKTvPSaCA5H8/mhX+CC03dANedcJ+fcLc65B51zNwON8SZiOuA9cZe/zQRaOudOcc7d7Jx7wDnXHegIZAAjzKxuYEMMKvuAfwHxzrk6wOgAxxMsXsObiLnTOdfNOTfYOXch8Dze5N7wgEYXnO4CmgDRwK0BjqU8WI03SVzPOdfb917VD28SayPQA72/yzHuSEbUlcGoxZF4v2jOKaH2yp0g7Ze8ovB+d9lzqIrHutLsKzMLB84EZhVoYhbeERlShAC8hvSaOIQy6pMj/vxQMiYIOefSnXPZfsozgGm+P08q26iCm3NurHNumZ/yr/EmsMLRB0gu3/+xz51zWwMdS7Aws0ZAJ2Ad8GqBxUOBVKCPmVUp49CCmnNurnPuD43kODzOuTnOuekF3+Odc9uAN3x/dijzwETK1hDgDuB0YPOhKvtGLS4F+gKL8CbI/wIGAt+bWY2jCcbM+gMnAg8fTTvHgKDqFz9eBJYD35dwu+VRafZVHN5R5dsLNLMdqHPUkR/byvo1pNfEoZVqnxzt54eSMeWImYXiHc0Aup65ODJ8z7qsSw7mQt/zLD9flFOAb4FI4OyyDkwqDL1XSUVR3BF1xRq1aGZP+H79PNijg69uU7zzYvR2zqWX3C6WS0HTLwWZ2XPAeUAP51zWke/iMaNU+8qn4I8s5qdM8iuLfgH0miiGUuuTkvj8UDImiJlZnJk9ambDzOw1vPNXdAImATMCG135YGYN8F6qtA+YH+BwJLg19T2vLmL5H77nJmUQi1QwZuYBrvP9OTOQsYiUtuKMqDvCUYsvAM0P8Vjkq3sO3pEAv5hZppllAu2B23x/VzqyvSx/gqxf8m7reaAXcKFz7q9i7tYxqZT7aheQReFRMLUoPFpG8iiD11DOunpNHKZS7pOj/vzwHP6uSADE4e34HA54BnhQlwQcmu8FMBGoBNzvnNP1lHIwMb7npCKW55THlkEsUvE8DfwD+Mw590WggxEJIgcdtWhm3+I9eT4b+MpXvgvvF8rDMQ1YUqBsDN4E/JN4J7iXwkq7XwAwsxeBnkAH59yqo466YipWXznn0s1sKXAR8F6e6hfhnWReSkaxX0Og10QpK26fHPXnh0bGlBLfRD+HGoqZ91FoIiHn3CrnnOFNmjXAO8xqADDfjsFbmJXEMcvTVigwHmgLTMGbxDqmlOTxksNivmclQqVEmdmdwD14Rz/2CXA4IsGmVEctOucSnXO/5H3g/fVzt+9vvef7V+qjSc3sVbzzNvQC9phZHd+j6pG2WUEdSV89B9xgZjeZWXNfAiCev+c2k6NX7H7Ra6LUFatPSuLzQyNjSs+fQFox6m8paoHvOsANwItmth2YDDyGdzKiY0mJHDNfImYCcCUwFbj2GD2ZKrH/YwL8PfIlpojl0QXqiRw1M7sd7wR8vwEdnXO7AxySSLDRqMXgVBb9cpvv+asC5cOAR4+i3Yqm2H3lnJvim6h0CFAX+AX4l3NufalFWfEcyWtIr4nSVeafN0rGlBLnXMdSavpz33OHUmo/YErimPnmXZiENxEzCbjuWJ3UqhT/j1VUv/uei/oVL+cOZkVly0WKxcwG4Z0Q7he8iZgdAQ5JpDwq8VGLzrkOJdVWBXbU/eIbHS6lz29fOedewzuZqQRGoX7RayLgDvm+VtzPD12mVP4c53vW3TYKMLNw4H28iZhxQJ9jNREjpWKu77mTmeV7bzSzKLyXvO0HfijrwOTYY2b/xZuIWQ5coESMSJE0ajE4qV/KD/VVcFK/BJ8y7xMlY4KQmbUxs0g/5VXxDmcH+LRsowpuvsl6PwIuB94G+haceEnkYJxzfwKzgIbA7QUWDwOqAOOcc6llHJocY8zsYbwT9i7FOyKmWBNailQwGrUYnNQv5Yf6KjipX4JPmfeJLlMKTg8AHczsa7xzxewDjgcuwXuN2nfAU4ELLyi9AfwL7yz9m4FHzAqN5JvnnJtXxnEFLTMbDDTz/Xm677mvmZ3n+/cC59yoso8soG7D+/p6ycw6AiuBNsAFeN94HwpgbEHJzLoB3Xx/5twG8xwzG+v79y7n3L1lHliQMrPr8c75lQV8A9zp571qnXNubBmHJhKs8o1azPtDi0YtBpT6pfxQXwUn9UvwKfM+UTImOL2Fdybms/DODRMJ7MH7K+pUYLRzTpcp5XeC7zkOeOQg9eaVfijlxsVA+wJl5/oeOSpUMsY596eZtcL7ZflivAm+rcBLwDBNrurX6cD1Bcoa+R4A6wElY/6W814VCgwqos7XwNgyiUYkyPnel2fhvZ3o7cDLeRbnjFp8U6MWy5b6pfxQXwUn9UvwCUSf2LF5kxkRERERCUZ+RtR1Bv7CO1oMCoyoM7PGeEct1gI+pvCoxXOdcwllE/2xS/1SfqivgpP6JfgEe58oGSMiIiIiZcbMHgWGHqTKeudcwwLrHM/foxZr4B21OA2NWiwx6pfyQ30VnNQvwSfY+0TJGBERERERERGRMqS7KYmIiIiIiIiIlCElY0REREREREREypCSMSIiIiIiIiIiZUjJGBERERERERGRMqRkjIiIiIiIiIhIGVIyRkRERERERESkDCkZIyLlmpmdbGZTzWyHmaWZ2e9mNszMIgIdm4iIiIiIiD/mnAt0DCIiR8TM2gBzgDDgfWAjcCHQCvgW6OicOxC4CEVERERERArTyBgRKZfMLBQYA0QC/3bOXeOc+y/QBvgAaAvcFcAQRUTkKJjZPDPTr4YSEGb2qJk5M+sQ6FiOVEm9hsxsnZmtK4GQAsLMGvr6cmygYynIzMb6YmsY6Fhy+Prb5XmcfYTtvFKgnUdLONRyT8kYEQkaZjbN92b9Hz/LHvctG+Urag80B+Y75z7Jqeecywbu9/15i5lZqQcuIiJFKnAyfjiPGwId87HIzxesgo9HAx1jeZYneePM7J2D1Gufp966MgyxzBzG/7UK8zovx0m9JGCY77HpCNv4zLd+ka+His4T6ABERPLoBywDRpjZAufcMgCrRxe5AAARVklEQVQz6wg8CPwG3Omre6HveWbBRpxzf5nZaqAJ0Aj4s7QDFxGRIg3zUzYIiAFeBBILLFvue74O7+hHKVn+jjnAvDKO41iVCVxpZgOdc/6Oc39fnYrwPayo/2vw9+u8onsAeBrYHOhACkh0zj16NA045z4DPvMloq4viaCONRXhTUBEygnn3G4z6wV8DUwxs5Z4T8QnAAeAq5xz+3zVm/qeVxfR3B94kzFNUDJGRCRg/J3Q+34VjwFecM6tK2K9DaUaWMVV5DGXEjED6Ab0Bl7Nu8DMqgE9gOnAFWUfWpnT/7VDcM5tBbYGOg4JDF2mJCJBxTn3HfAwcBLwJt5ETB3gTufcr3mqxviek4poKqc8tjTiFBGR0uVvvgsz65BzSY2ZtTKzmWaWZGZ7zOwDMzveV6+Rmb1rZjvNbL+ZzTWzFkVsJ9LMHjCz5WaWamZ7zex7348DxYl3ne8R45srYbPvLn+/mdmdRV02a2ZtzOx9M9tmZulmttHM3jSz+KKOiZmFm9kj5r2D4IHSmAvDtx9P+baR5jvGX5jZP/3Uzdsvrc3sUzPb7Str6DueB8ysSoH15vvqvF2g/GRf+bg8ZfG+ff42z7HaYmaTzKy5n5hy5wkxsyZmNsW8d17MznvJiJmd6ft/lGJmyWb2pZmdcxSHbibeyzr6+1n2/+2df7hVVZnHP18I1MTRgBwzM8Qkn0lDDBythIvkoE1pDWmSNZHhmA0zqFOJI4aaA2OkUvk0o5ihDY6aP8JEC4cL+gBpoKSZ1fiL1CkhBgeSFAXf+eNdm7vuZp/LPfccLyDv53n2s+9da+31Y++1zznrXe+PzwC7AjNrXSyph6QvSFqa5uL69PeZkirXbpJOkfRgmuurJH2/av6Urhkt6S5Jq9OzeVLSdEnd+rspvXsm6R9r5O8raZOkpaW0Ts+FDtqu6VNH0jhVmFNJGinp6vRer0v3/FFJUyTtWiq7ApiS/l2gzEwrK1PTZ4ykk9M7sja184t0v3apKFt8/rw5Pcdn0nN9QtK5UvPM9iUdLelHkp5LbTwv6X5JU7Z+dZATmjFBEGyPXAq0AJ9K//+nmV1Tu3glxZdOOH8MgiB44zEMOBfXpJwJHAr8DXCopBOARcCvgeuBd6a8eyQNNLMXi0rSwrMVGAI8BFyLb1aOBm6Q9B4zm1xHv3oD/4VvBNyY/h+Dm2u8G/j7vLCkz6X+bwDuwKMCHgSMBz4q6cgaGkK3pntwN/BDYFUdfdwq6b4sBv4CWArMAPoDJwPzJJ1pZldVXHoUbnaxCL+X/YFXgPnAkcDRJPNiSW/Gne4DjCrVU5giz8/ShgOTgAX4+F/E79UngBMkfcDMHq7o04HAA7gm7WxgN2Bd6sP78efVG7gNeAI4DDfZaq1xe7bGJnzsX5U01MyWZXmnAytSm7X4Pv7751ngGvx3zMeB7wAfxDVuNiPpbOBy3Bzo+nQeDSyhxoaVpK/i5oNrcE2eVcB7gS8BH5Z0lJmt6/SIG+N64BLcjOVbFfmfxt/J3O9IV+dCMzgXOBi/v3Nx4doHgAuBFkkfMrNNqewMXEtqROr/is42Imkq/i6tBm7Ax3g8MBUYLelYM3u1dFkvYB6wL/7ZsDG1/6+pn1Umo3Uh6Th83Ovwz6z/Afrifhy/2Iw2dirMLI444ohjuzuAM/AfIAYcUZH/g5Q3psb1d6b847f1WOKII4444mh/4IsSAwZ0UGah/1Rtl9aSfTecWsr7bkpfA5xfyrsg5U0spc9K6V8ppe+KCw1eAw6rc0yLgF2y9L64uawBw7P0Qbig4gng7aW6jsEX9bdX3RPgEaB/F+/5DHzhmB9nlcpelcpeBShLPwhf4G/In13puZxR0fYxKW96ljY6pc1L5wOzvNtT2juytL2BPSrqHowvVO8upQ/I+jS14jrhAjsDTizlTcyubenk/b0wlR8P7J+e31VZ/pEp/3x8Q9yAFaU6xqb0h4A+WfruwLKU96nSGDfgcz5/Hj1wIYWx5Ts0MqUvAfYq5Y1LeVdUzJ0VnbkPnZhrxbFrVv4nqfwhFXX9En9P+jVhLsyqep9qjKG4F+NK6QPJ3oks/Wup/CdrzIvKeUTbZ1D+/I5Kac8A+2Tpb8JN3Az45xr3/C5gt9K9+r909Krj+VU+72xeDa7Iq/xMou3z4cLOzqGd5QgzpSAItjskHQR8A3gB/yF8TVn1E/hNOg+qUc1B6VzLp0wQBEGw47LIzGaX0oqd87X4TnBOYe5yWJEgqR++677MzL6eFzazl/EdcNGmpdlZzjOzDVlda/CFGsDnsnJn4jvZE82snfNOM2vFd50/KmmPijYuMLPVdfarYCJuOpEfZxWZknrh9+XFNJbNGqZm9jiuvdAbd7Bc5udWrTGzBHiZ9howo/Cd+ynZ/yRTnBbgcTN7Nmt7lZn9sVyxuQZEKzAy9b3MSqp369+PayvdZ2ZzSnlX0oC/OXNtpnnAWLWZZp2OC2i+18Glp6XzJMs0uMxsPT4fwYU9Bafiz+LblvlmMY8s+WX8N1SZwhzodCs5GDazWbhj3VPLF3WRqrlWHPnvuuLdbefkVdJQXDvrTjP736yfXZ0LDWNmT+XvRMaMdB7dhGaKeXCJmT2ftb0R+Cf8uY6vuhA3638pu2YVMAc37393jWu6wkvlhAY+k3ZawkwpCILtimQHexO+C3Qcrop6Pv4l94WsaGtKPw6YVqpjIC6k+S3w1Ovf6yAIgqCbWVaR9rt0/rm1mQkUFMKO/bK0YUBPoFZY52Ix12kfFLhwYUlF+sJ0HpKlFX5JRkgaVnHN3ql/g4AHS3k/q6NPZQ6wjp2qHow7z1+cBEllWoHJtB9Lh/0ys5clLcEXyf3SwvoYYKmZ/VTSSlwYczVwOG7mdVO5Hkl/jf8WGIqbQJXXMv3Z0hnqw7lwLOPwdL63or+bJC3CTZy6ykz8N8opkn4AfBKYa2a/k1RrDXY4vtBeWJF3Ly7MGVIqX+S1wzyy5LO4mV7OUcCreMSnkyra6Q28NXtOjbC1uVZwOy5E/bSkSdn7WwhnZpUv6OJcaJgkXJuIm44NAvagzTQe4O1NaKZ4rluYypnZf0t6DjhA0l4lgdpaM3uior5CqPmWJvRtNm72+YCkm3BTscVm1tXw1zs1IYwJgmB74xv4D41LzWyepPn4DtkZklrN7OZU7l7gV8BwSSeY2R2weUft0lTm32vsXgRBEAQ7NlW+MDbWyjOzjcl/Zb5b3i+dh6WjFn3q6NfqCkEQQLG7vWeWVrT/5a3UWdX+8xVpzaLoY62FbJFe5ei1o37NxwUwI9N3+xDc/wX4ovPY5GR0VFZ+M8nB6zdxrdl7cBOOP+HmDx/DTVS2cGzaQZ+Kca6skd/oPb4j1TEen3e704Hj3qxPa8zslXJGmsOrcSFdXh46HkNZGNMPXwNO2bJ4O/oAjQpjOoWZvSTpZlx76K+Au5Nmy1jgD7j/k800MBcaIvWpFTgCeBQXGP4BF26B39NmtNuZd3D/VC4XxtQKI158NvZstGNmdpukj+AaOqfhbgWQ9CCuSXdPo23sTIQwJgiC7QZJHwMm4I72JsPm3amxuNrsTEnLkoropuT4sBW4RdIt+JfxKHyXZDFwxbYYRxAEQbBDUAhtrjCzc5pUZ39JPSsEMvuU2sz/3tPqdJb6Om80FP3ap0b+20rlcjrqV7HL/yFc+6MHbQKXVnzhPRj/Hjd8xx2ApElyES5cONw8HDBZfkfRj2r1qej/n9fIrzX+TpGEJ7NwR7P74RGW7u7wIu9TX0m9rOScNd2D/iTnw1l58DHkEScLqsawFuhhZn23Ooju5TpcGPNZ/D59BBccfTO/Fw3OhTKvFXUmE6CcKmHjibgg5jozG1dq921sXcDVWfJ3sMpcrqN38HXHzOYCc5OW0F/iz+pM4E5JQ8zssW3Rrx2R8BkTBMF2gaT98egDa4Gx+Zdishk/Dfgz4EZJvVP6A/hu5hx8J+VsfJfgYuDYGmrJQRAEQQBuUvMaHuGnWbwJ90VSpiWdl2dp96dzM9tvBr/BtQwOk1Rl1jAynR+qs96luCBhFK4h8xLw05RXCGU+jEemeaTkf6I/vjheUrH47kObWUc9FP0fUc6Q1BOPXNQoRTSk/YBra2hN5SzH12fDK/KG45oN+X3vaAwDgXdU1HM/8BZJ79lKX7oVM1sMPA6cKGlP2kyUrisVbeZceCGdq+7T0Iq0d6XzrRV5WzyDRPHM69FKKT4nWsoZkt6Fz6enyz5/uhszW29mrUmYPRU3cTt+W/ZpRyOEMUEQbBeY2TNm1tfM9jKzpyvy55iZzOyIXH3XzB4zs5PMrL+Z7WJmg8xsSu68LAiCIAjKJMeWs4Ghki6o8uMh6UBJB9RZ9bTk/6yooy9J25P2zluvxM0brpC0hTN6Sb0ldbugJn3HzsbNVC4u9elA3AHsq3gI5nrq3QTchy9oT8KdMG9IeU/jEVwm4v5qyr4yVuECovelBXfRn164uUr/evqSWIILnoZLOrGUN4HG/MUAYGZP4n5jPk512OYy16bztBT6G9gcBrxwSv3drPxs/Fn8g6QBWfkewHSq13qF1vBMSfuWMyXtLunITvT19eA63LHvF3HB3CNmtrxUpplzofBxdHqeKGkUrqlVZkU6t5TKD6TNRL5MYeq1fx39KubBZElvzdrpiZvz96D9POg2JI2StFtFVqFh9qfu7M+OTpgpBUEQBEEQBDsrE/DoexcDn0lOW1cC++KOe4fhi7ItNglq8HvcZ8Sjku7AfYV8Ajcr+I6Z3VcUNLNfSzoNX3j9UtKP8QiAvfCF29G4P4qDGx1kF5iU2p+QnAsvwBe5J+MOSydUbZx0gvm4ScPelHzCpP8/n/29GTN7TdK3Ur9+IWkOvgs/Eg8dvoA2jZ1OYWYm6fO4z5FbJd2GhxkfjJtS/RgXpDSEmc2ro+wNSTB0Mj4nfkibH5QDgJvzKGJmtkLSJOAyYHlyqLoWj+izFx4C/b2lNuana6YBj0u6C5/ffXD/MiPw8OwNjx04S1It7Y2FZrawlHY9/i5ehL8HZa2YZs+F7+E+m86TNBh4DHfKezzuVHhMqfyP8DlyjqRDcQ2W/fE5PZdqgcsCXANvmqRDSNo4ZnZJrU6Z2RJJXwe+gn+W3AKsT/06BH8+0zs5xmZzGTBA0kJcOPUK8D5c2+23wI3bqF87JCGMCYIgCIIgCHZKzGydpBHA3+EhrMfgO/MrcZOJs/HFemd5BV/ITwVOwQUYT+FaDd+uaP8/JD2MO8MciZvcrscjQ91CRUSh7sDM1iTfG+fhkVPOwc2KfgZMr0fAUCIXspS1XwphzEZcg6bMBbhwajzuNHQt/mwmUx26equY2eKkffQvtJlXPIBrPoymOQKJehmLBynY7BwVD1hwGfBv5cJmdrmk3+NChXHAH4Gf4Av5G6oaMLNLJS3GtZw+iPtCWYtHHbu61nVdYOJW8heW+vWspAW0hT0vh68vaMpcMLNV6f2fjpuBjcAjtR2LC7/GlMqvl3QM/j634ALLp/DQ9ZfjEbPKbfxK0meBL+EaP0VI75rCmHTduZKW4wLjv8WFU0+mMV5W5eS5m5iKa3oNpc3/0zMpfYaZvdDBtUEJRaCRIAiCIAiCIGgMSSsAzGzAtu1JEARB12n2Z5mkFlxD6CIzu7AZdb5RCJ8xQRAEQRAEQRAEQRAUvFOSpaNLPoQkXSmpXWS0oD1hphQEQRAEQRAEQRAEAcAM2of2fq6L9dwF5FHRFna1Q29UwkwpCIIgCIIgCBokzJSCIAiCeghhTBAEQRAEQRAEQRAEQTcSPmOCIAiCIAiCIAiCIAi6kRDGBEEQBEEQBEEQBEEQdCMhjAmCIAiCIAiCIAiCIOhGQhgTBEEQBEEQBEEQBEHQjYQwJgiCIAiCIAiCIAiCoBsJYUwQBEEQBEEQBEEQBEE38v91zjqCXze8IQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mpl.rcParams.update({'font.size': 20})\n", "\n", "fig, ax = plt.subplots(ncols=2, figsize=(16,8))\n", "\n", "# Left: Accuracy\n", "bins = 20\n", "\n", "# Plot GP approximation to the joint distribution\n", "corner.hist2d(samples[:,0], samples[:,1], \n", " bins=bins, ax=ax[0], color=\"C3\", plot_density=False, plot_contours=True, plot_datapoints=False,\n", " label=\"GP Approximation\")\n", "\n", "# Plot the true joint distribution\n", "corner.hist2d(trueFlatchain[trueIburn:,0], trueFlatchain[trueIburn:,1], bins=bins,\n", " ax=ax[0], color=\"black\", plot_density=True, plot_contours=False, plot_datapoints=False)\n", "\n", "# Formating\n", "ax[0].text(-2.2, -1.5, \"Truth\", color=\"black\")\n", "ax[0].text(-2.2, -2, \"approxposterior\", color=\"C3\")\n", "ax[0].set_xlabel(\"x0\")\n", "ax[0].set_ylabel(\"x1\")\n", "\n", "# Right: Scaling\n", "ax[1].plot(ns, bruteTimes, \"o-\", lw=2.5, label=\"MCMC\")\n", "ax[1].plot(ns, gpTimes, \"o-\", lw=2.5, label=\"approxposterior\")\n", "\n", "# Reference year, month, week, day, hour timescales\n", "ax[1].axhline((365*24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax[1].axhline((30*24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax[1].axhline((7*24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax[1].axhline((24*60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "ax[1].axhline((60*60), lw=2, ls=\"--\", color=\"k\", zorder=0)\n", "\n", "# Shade region or typical vplanet runtimes\n", "ax[1].axvspan(0.1, 1.0e4, color='grey', alpha=0.3)\n", "\n", "ax[1].text(1.0e-5, 4.0e7, \"Year\")\n", "ax[1].text(1.0e-5, 3.5e6, \"Month\")\n", "ax[1].text(1.0e-5, 7.0e5, \"Week\")\n", "ax[1].text(1.0e-5, 1.2e5, \"Day\")\n", "ax[1].text(1.0e-5, 4.4e3, \"Hour\")\n", "\n", "ax[1].set_ylabel(\"Total Computational Time [s]\")\n", "ax[1].set_xlabel(\"Time per Forward Model Evaluation [s]\")\n", "ax[1].set_xlim(5.0e-6,1.0e4)\n", "ax[1].set_xscale(\"log\")\n", "ax[1].set_yscale(\"log\")\n", "ax[1].legend(loc=\"lower right\")\n", "\n", "fig.tight_layout()\n", "\n", "fig.savefig(\"acc_scal_shaded.pdf\", bbox_inches=\"tight\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }