{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from ipywidgets import interact\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Piecewise Linear Interpolation\n", "\n", "References: https://cds.cern.ch/record/1456844/files/CERN-OPEN-2012-016.pdf\n", "\n", "We wish to understand interpolation using the piecewise linear function. This is `interpcode=0` in the above reference. This function is defined as (nb: vector denotes bold)\n", "\n", "$$\n", "\\eta_s (\\vec{\\alpha}) = \\sigma_{sb}^0(\\vec{\\alpha}) + \\underbrace{\\sum_{p \\in \\text{Syst}} I_\\text{lin.} (\\alpha_p; \\sigma_{sb}^0, \\sigma_{psb}^+, \\sigma_{psb}^-)}_\\text{deltas to calculate}\n", "$$\n", "\n", "with\n", "\n", "$$\n", "I_\\text{lin.}(\\alpha; I^0, I^+, I^-) = \\begin{cases} \\alpha(I^+ - I^0) \\qquad \\alpha \\geq 0\\\\ \\alpha(I^0 - I^-) \\qquad \\alpha < 0 \\end{cases}\n", "$$\n", "\n", "In this notebook, we'll demonstrate the technical implementation of these interplations starting from simple dimensionality and increasing the dimensions as we go along. In all situations, we'll consider a single systematic that we wish to interpolate, such as Jet Energy Scale (JES).\n", "\n", "Let's define the interpolate function. This function will produce the deltas we would like to calculate and sum with the nominal measurement to determine the interpolated measurements value." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def interpolate_deltas(down, nom, up, alpha):\n", " delta_up = up - nom\n", " delta_down = nom - down\n", " if alpha > 0:\n", " return delta_up * alpha\n", " else:\n", " return delta_down * alpha" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Why are we calculating deltas? This is some additional foresight that you, the reader, may not have yet. Multiple interpolation schemes exist but they all rely on calculating the change with respect to the nominal measurement (the delta)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case 1: The Single-binned Histogram\n", "\n", "Let's first start with considering evaluating the total number of events after applying JES corrections. This is the single-bin case. Code that runs through event selection will vary the JES parameter and provide three histograms, each with a single bin. These three histograms represent the nominal-, up-, and down- variations of the JES nuisance parameter.\n", "\n", "When processing, we find that there are 10 events nominally, and when we vary the JES parameter downwards, we only measure 8 events. When varying upwards, we measure 15 events." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "down_1 = np.array([8])\n", "nom_1 = np.array([10])\n", "up_1 = np.array([15])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We would like to generate a function $f(\\alpha_\\text{JES})$ that linearly interpolates the number of events for us so we can scan the phase-space for calculating PDFs. The `interpolate_deltas()` function defined above does this for us." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([-2.]),\n", " array([-1.91836735]),\n", " array([-1.83673469]),\n", " array([-1.75510204]),\n", " array([-1.67346939])]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alphas = np.linspace(-1.0, 1.0)\n", "deltas = [interpolate_deltas(down_1, nom_1, up_1, alpha) for alpha in alphas]\n", "deltas[:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now that we've generated the deltas from the nominal measurement, we can plot this to see how the linear interpolation works in the single-bin case, where we plot the measured values in black, and the interpolation in dashed, blue." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Events')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(alphas, [nom_1 + delta for delta in deltas], linestyle='--')\n", "plt.scatter((-1, 0, 1), (down_1, nom_1, up_1), color='k')\n", "plt.xlabel(r'$\\alpha_\\mathrm{JES}$')\n", "plt.ylabel(r'Events')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we can imagine building a 1-dimensional tensor (column-vector) of measurements as a function of $\\alpha_\\text{JES}$ with each row in the column vector corresponding to a given $\\alpha_\\text{JES}$ value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case 2: The Multi-binned Histogram\n", "\n", "Now, let's increase the computational difficulty a little by increasing the dimensionality. Assume instead of a single-bin measurement, we have more measurements! We are good physicists after all. Imagine continuing on the previous example, where we add more bins, perhaps because we got more data. Imagine that this was binned by collection year, where we observed 10 events in the first year, 10.5 the next year, and so on..." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "down_hist = np.linspace(8, 10, 11)\n", "nom_hist = np.linspace(10, 13, 11)\n", "up_hist = np.linspace(15, 20, 11)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we still need to interpolate. Just like before, we have varied JES upwards and downwards to determine the corresponding histograms of variations. In order to interpolate, we need to interpolate by bin for each bin in the three histograms we have here (or three measurements if you prefer).\n", "\n", "Let's go ahead and plot these histograms as a function of the bin index with black as the nominal measurements, red and blue as the down and up variations respectively. The black points are the measurements we have, and for each bin, we would like to interpolate to get an interpolated histogram that represents the measurement as a function of $\\alpha_\\text{JES}$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_measurements(down_hist, nom_hist, up_hist):\n", " bincenters = np.arange(len(nom_hist))\n", " for i, h in enumerate(zip(up_hist, nom_hist, down_hist)):\n", " plt.scatter([i] * len(h), h, color='k', alpha=0.5)\n", "\n", " for c, h in zip(['r', 'k', 'b'], [down_hist, nom_hist, up_hist]):\n", " plt.plot(bincenters, h, color=c, linestyle='-', alpha=0.5)\n", "\n", " plt.xlabel('Bin index in histogram')\n", " plt.ylabel('Events')\n", "\n", "\n", "plot_measurements(down_hist, nom_hist, up_hist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What does this look like if we evaluate at a single $\\alpha_\\text{JES} = 0.5$? We'll write a function that interpolates and then plots the interpolated values as a function of bin index, in green, dashed." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_interpolated_histogram(alpha, down_hist, nom_hist, up_hist):\n", " bincenters = np.arange(len(nom_hist))\n", " interpolated_vals = [\n", " nominal + interpolate_deltas(down, nominal, up, alpha)\n", " for down, nominal, up in zip(down_hist, nom_hist, up_hist)\n", " ]\n", "\n", " plot_measurements(down_hist, nom_hist, up_hist)\n", " plt.plot(bincenters, interpolated_vals, color='g', linestyle='--')\n", "\n", "\n", "plot_interpolated_histogram(0.5, down_hist, nom_hist, up_hist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can go one step further in visualization and see what it looks like for different $\\alpha_\\text{JES}$ using iPyWidget's interactivity. Change the slider to get an idea of how the interpolation works." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "43aea4eb4bf442199000e59952b87a27", "version_major": 2, "version_minor": 0 }, "text/plain": [ "aW50ZXJhY3RpdmUoY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTAuMCwgZGVzY3JpcHRpb249dSdhbHBoYScsIG1heD0xLjAsIG1pbj0tMS4wKSwgT3V0cHV0KCkpLCBfZG9tX2NsYXNzZXPigKY=\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = interact(\n", " lambda alpha: plot_interpolated_histogram(alpha, down_hist, nom_hist, up_hist),\n", " alpha=(-1, 1, 0.1),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magic in `plot_interpolated_histogram()` happens to be that for a given $\\alpha_\\text{JES}$, we iterate over all measurements bin-by-bin to calculate the interpolated value\n", "\n", "```python\n", " [nominal + interpolate_deltas(down, nominal, up, alpha) for down, nominal, up in zip(...hists...)]\n", "```\n", "\n", "So you can imagine that we're building up a 2-dimensional tensor with each row corresponding to a different $\\alpha_\\text{JES}$ and each column corresponding to the bin index of the histograms (or measurements). Let's go ahead and build a 3-dimensional representation of our understanding so far!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def interpolate_alpha_range(alphas, down_hist, nom_hist, up_hist):\n", " at_alphas = []\n", " for alpha in alphas:\n", " interpolated_hist_at_alpha = [\n", " nominal + interpolate_deltas(down, nominal, up, alpha)\n", " for down, nominal, up in zip(down_hist, nom_hist, up_hist)\n", " ]\n", " at_alphas.append(interpolated_hist_at_alpha)\n", " return np.array(at_alphas)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then with this, we are interpolating over all histograms bin-by-bin and producing a 2-dimensional tensor with each row corresponding to a specific value of $\\alpha_\\text{JES}$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 8. 8.2 8.4 8.6 8.8 9. 9.2 9.4 9.6 9.8 10. ]]\n", "[[10. 10.3 10.6 10.9 11.2 11.5 11.8 12.1 12.4 12.7 13. ]]\n", "[[15. 15.5 16. 16.5 17. 17.5 18. 18.5 19. 19.5 20. ]]\n" ] } ], "source": [ "alphas = np.linspace(-1, 1, 11)\n", "\n", "interpolated_vals_at_alphas = interpolate_alpha_range(\n", " alphas, down_hist, nom_hist, up_hist\n", ")\n", "\n", "print(interpolated_vals_at_alphas[alphas == -1])\n", "print(interpolated_vals_at_alphas[alphas == 0])\n", "print(interpolated_vals_at_alphas[alphas == 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have a way to generate the 2-dimensional tensor. Let's go ahead and add in all dimensions. Additionally, we'll add in some extra code to show the projection of the 2-d plots that we made earlier to help understand the 3-d plot a bit better. Like before, let's plot specifically colored lines for $\\alpha_\\text{JES}=0.5$ as well as provide an interactive session." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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RF+VyGTzPK8KhVCohlUrB6/U29Thy8rvc/pIkCW63GyMjIyee/E5i6OQ4zQPUh6HX63H27FmkUik8ePAATqcTU1NTSutMFEVoNBqwLEu7zgjVQ2KI6Ckaef/I1La/5BvwQcjJ73L7y2QywePx4MyZM3WJ3icJVYbUyW7RoYZqx0m16xwOB65du4b19XUsLCxgfHwcAwMDdecj/78cAEu7zgi1QWKIUD3tDD/vJyIaJb97PB5MTk6q8ttqvywWvSroTpPp4lFgGAZDQ0Pw+/1YWlrC2trantm82nPjeb5uwLpf3udE70JiiFAlR/X+kStDkiQhl8sp5odA1T9lfHwcFotF9TfhfqgMqf05PoxeiuM4aUGv0+kwNzeHdDqN27dv4/nz55ibm6vL1mtk2CjPExHESUFiiFAFtd4/tdEX7Tg/C4KAdDqNZDKJW7duwWw2w+Px4Ny5c9Dr9V28is7TD2Ko39j9eqjl9VHLeQCA3W6Hw+GAw+HAzZs3MTo6isHBwT27zmoDYDUaDXQ6nSqEJXH6IDFEnBi721+y+WE7AqhUKintr2KxCKvVCoPBgAsXLpz4t+WjQGLoZGm29aSGBVwtW/xrCQQCGBoawrNnz7CwsIBwOAyHw1F3jHzOgiAoVSKaJyKOGxJDxLFR6/3TqP3VimOzJEnIZrNK+4tlWXAcpyS/5/N5vHjxoqeFkAyJIXWjltdHbWJIFEXlcz07O4tsNovHjx/DZDIhFArVVWnJxZo4aUgMEV1ld/SFIAjKja+d9lcymUQsFkMqlYLVagXHcRgaGqqbSQD6p6LSLwtBr74WzZ63Gl4ntYmh3edjtVpx5coVbG1t4datWxgeHsbw8PC+rTPaik8cJySGiI4je/802v3V6je9YrGotL/K5TJcLhcCgQBCodCBN0iWZZW2Wy/TD6JOTQt0O/TK+athgLoWuTJUC8MwCAQC4DgOL168wPz8PGZnZ+FyufYcJz8GbcUnjgMSQ8SR6WT0hZz8Ho/HkUgkoNFo2kp+7wcRAfTPdRDdp5H4OEkOqlRptVqEQiHkcjksLi5Cp9MhFArVxdtQ64w4TkgMEW1RG31RO/zcieR3m80GjuMwMjLSdvI7VYaITlC7oMsRLdvb29DpdAiHw6rbndgrYkjGYrHg8uXL2N7exvvvv49gMIjR0dE9/kTUOiO6DYkhomlqh58rlYryc5ZlW/YIKRQKyvBzpVKB2+3G4OAg7HZ7R7719YuIoG/AJ0upVEI2m8Xdu3chCAI8Hg9GRkZQLBZx69YtjI6OquZ9praZIaD596/P54PH48Hy8jLm5+cxMzMDj8fT8LGodUZ0AxJDxL40ir6Qb7itVn9EUUQ6nUYsFqtLfp+dne1K8nu/iCEAfVHh6pXXQt6lGI1GkUgkAFTFfjgcVt6nlUoFdrsdwWAQS0tLyOfzSkXzJBFFsaeFgUajweTkJILBIBYXFxGJRDAzM1PXHqfWGdEtSAwRdTSKvmjX/LBSqSjtr+NOfu8XMdQPN3i1X4OcUReNRpFKpWCxWJQ2bTabxfb2NoxGI3geWFtj4HYDVmt17iUcDiMWi+HRo0dwOp2YnJxsu7XbCdT+XDeDyWTCW2+9hVgshrt378Lv92N8fJxaZ0RXITFEKNWfUqmEzc1N+P1+AK0PPwNAPp9HLBZDLBaDKIpKW+G4k9/7YVEA+kfUqQ2e5xGPxxGNRpHP5+F0OuH1ejE9Pb3nPS8IQCTCYG2NBc9XXxOb7c37S6PR4OrVq4hEIlhYWMDU1JTyGTpOer0ytBuO4+B2u7GysoL5+XlMT0/D6/XWHUOtM6JTkBg6hez2/pHbMJIkYWNjA8FgsOnHEkURqVRKaX8ZjUZwHKeq5PdehsRQ5ygWi4jFYohGo8r8z+jo6L5CXRSBzU0WDx9a4fezcLsljI6KMBj2vh4Mw2BkZAR+vx9PnjzB+vo6wuFwSzsgj4oaZ4aOCsuyGB8fx8DAAJ48eYJIJILZ2VmYzWblmN2tMwqAJdqBxNApoZnkd7kldhjyrppYLIZ8Pq+0vyYmJihssQuQGGqP3S7lWq0WHMfVzf80/nfA9jaDlRUGsZgWRqOI8+cFyCkSNXsH9mAwGHD+/HnE43HcvXsXgUAAY2Njx9K+6UcxJGM0GnHhwgUkEgncu3ev4f2GWmfEUSAx1Ke04/2z3410v+T3sbGxnkh+72X65bk9LkEnz//EYjHs7OzAbDbD6/VieHj40FkeSQLicQbLywwKBQZWq4RwuAxBKGJXnNaheDweXL9+HS9fvlSMBd1u9xGu7HD6WQzJuN1uXLt2DZFIBPPz85iamoLP59vjYg1Un49SqUQBsERTkBjqIzoZfSGKIpLJJOLxuLKo9Gryey9DbbLDked/YrEYcrkcnE6nklPXbFUgHgdWVljkcgzMZglzcyI8HgmJhIjXm8oUmn09WJbF5OQkBgYG8PjxY6yvr2NmZqZrn5/TIIaA6vM6OjqKQCCAp0+fKq0zq9WqHFP7PMgBsNQ6Iw6CxFCPI0dflMtl8Dyv3Khl759WPvjlchmVSgUffvghCoUCXC5Xy4sK0Vn6QQx1Y/GR539isRh4nofb7W5rUH9npyqC0mkGRqOEmRkRXq+Egx5C/oLRLGazGZcuXVIyuUZGRjA0NNTx50VNYug43rMGgwHnzp3Dzs4OHjx4AJfLtWc3X23rrFAoIJlMYnBwsOUvh0T/Q2Kox2jk/SPTTvSFPFORSCSUm8bExATMZjPdLFRAP4ihTiC3aqPRKOLxuBLTstuHplkymaoISiYZ6PUSpqZE+P0Sdn98OiUwajO5nj17hps3b2Jubq6j3kRqE0PHdS5OpxPXrl3D2toaFhYWMDExgUAgsKd1xvM8NjY24PV6odFooNVq6UseoUBiqAeQ219y5abR8HOzNEp+93g8OH/+PHQ6HW7dugWLxdKtSyFa5DSLIXmnYjQaVVq1HMfhwoUL0Ol0bT1mLgesrrKIxRjodMD4uIhgcK8I6hZarRazs7NIp9N49OgRHA4HpqamOuJNdFrFEFD9nAwPD8Pv92NpaQmRSAThcLhObIqiqFTL5dYZbcUnZEgMqZSDoi9a/TbTKPnd7/fvm/yuppvqUemHa+l1MdROTl00GkUul1N2Kh61VVsoVEXQ9jYDjQYYGRExOCjhMA3SrfeP3W7H1atXlWpGo0HgVlHTe/2kQmP1ej3OnDmDVCqFR48ewW63Y2pqCjqdTjkncrEmGkFiSCXsF33RjvOzJEnIZDJK+0tuKUxPT9f5czRCDjjthy3y8g2vl29wvXzutRwk6EqlkuL/U6lU4PF4MDw8DJvNduTrL5WA1VUGW1ssGAYYHBQxPCyhzcJSR6mtZiwuLmJtbQ3hcPjQz+h+qOm9ftLn4nA4cPXqVWxsbODmzZsYGxuD2WwmF2tiX0gMnSC7vX9k88N2BBDP80r7K51Ot5383k9iSL6WXr659WObbLdVA8uyR5r/aUSlUnWN3txkIUmA3y9iZESCGn1A9Xo9zp8/j0QigQ8++KBh/EQznLQAqUUNnzuGYTA4OAifz4dnz55heXm54QgAuVgTAImhY0U2NZTFD8/zyu9Ylm15bqBQKCjtLzn5PRgMYnZ2tu0Psiwg+oF+EBL9cA1A9b0vi/VkMgmTyQSv16vMqnUKngfW1xmsr7MQBMDnkzAyIqJdjXWcAsPtduP69etKcnur3kRqEkNyVVsN6HQ6hMNhrK6u4sWLF3j48CGmp6frLA6odUaQGOoy+0VftDP8LEkSUqkU4vE4EokE9Ho9PB5PR79R95MYYlm2b4RELyLP/8j/c7vd4DgOk5OTHV8oRRHY2Kjmh1UqgMdTjc7otb0ALMsqu6EeP36MtbU1zMzMNBVtoyYxpMacNKPRiMHBQVitVty6dQvDw8MYHh7es+uMWmenExJDXUD2/jko+qJZZEO5eDyOTCYDu90OjuMwOjralXTsfhJDDMP0/LWobUE5DHn+Rx7Wd7vdsFqtGB4ehtPp7PjfkyTg1SsGq6sMymUGLldVBHVqx/pJCVHZm2h7exu3b99uyptITWJITZUhGbn9PzAwAK/Xi+fPn2NhYQEzMzNwuVx1x1Lr7PRBYqgDtBN9cRBy8ns8HocgCHC73RgaGurIQOlh9JsY6tWqiozar2H3/A/DMOA4DqFQSKlWPn36tAt/F4hGq/lhxSIDu13CzIyALuitE1sAGYaB3++Hx+NRvInC4TDsdnvD49UkhtRYGaqdY9JqtZiZmUE2m8Xi4iIMBgNCoVBdBY5aZ6cLEkNtIre/crlcXQWi3eiL3cnvHo8Hc3Nzx5783k9iqB+uRY03XUmSlPwvef6H47iOz//sh5wfls8zsFgkzM0J8Hi6/mdPDNmbKJPJKNvFp6en91SG1SSG1HQuMo2Guq1WKy5fvqxU4AYHBzEyMkK7zk4hJIZaoNb7R46+eP/993HlypWWBVCj5HePx3Piye/9ICBk1F5V6SUEQVD8fzKZjOL/c5zv12QSWF5mkc0yMJkkzM6K4LiDozOOipoWdZvNhqtXr2J9fR0LCwuYnJyE3++vCyZVy7mqYTfZbvY7J7kCx3EcXrx4obTOdg+v7w6ApdZZf0FiqEl++tOf4kc/+hF+//d/X6n+yPlfoig2kYgt1bW/JEmCx+PB6Ohoy3lK3aSfxFC/DFCfFOVyWfH/ked/BgcHYbfbj/X9mkpVozNSqWp0xvR0NTpDJR+ZY4VhGAwNDcHn8+HJkydYX19XvInUJobUci4ycptrPzQaDaanpzE4OIjFxUVEIhHMzMzAaDQqx9ReE8/z4HmeAmD7BBJDTcKyLLa2tvZ8mGQx1AhRFJV2ws7OjtJOOHv2rGqT3/tJDPXDAPVxI8//xGIxZf6nGbPOw2hHlGazVRGUSFRF0OSkiEDg+KIzgMbVFjUIbL1ej3PnztV5E6lJgKh1gLqZc5KH16PRKO7cuYNAIICxsTFqnfU5JIaaxGKxIJ/P7/m5RqOpG5gul8tK+6tQKMDpdPZU8vvu6+llqDJ0OLJdg+xWLgv2c+fOdUywt7pA5/PV6IxolIFWC4yNVfPD1OgDetLvr1pvokwmg2QyCa/Xe6LnBPS2GJLxer3weDx4+fIl5ufnEQqFwHFc3TG1oqhUKkGj0UCn06lGlBLNQ2KoScxmM3K53J6fsyyLTCaDra0tZTeNPPvTi8nvVBnqf+T5H9mt3G63w+v1Ynx8/ETn1YrFqmv01hYLlgWGh0UMDR2eH9ZNGomd3Z/p4/6M5/IifvZz4MIZBgMDjOJNtLm5idXVVWxubjbtTdQt1FSlkmlnjollWUxOTiIYDOLJkyeIRCKYnZ3d4+smXysFwPYuJIaapLYyVCqVkMlkFP+fSqWCQCBwbLtpukm/iaGT/uauFuT5n1gshlKpBJfLdWS38s6dW1UEvXpVXagGBqr5YWrpJB/m7XNclMsSvv/jMn7wYyC+I+DTGQm/9YU3rpIMwyjtndu3bzc0FTwu1DS/JHOUoW6TyYSLFy8iHo/j7t278Pl8e748NNqKL7fO1PZcEHvpOzEUiUTwla98BVtbW2AYBr/7u7+LP/iDP8Cf/Mmf4C/+4i+UEvKf/umf4p133mn6cdPpNFKpFD772c8inU7jr/7qr5SUaa/Xu8e0q1dhWbYuJqSX6Sdh1w6N5n+mpqaOPP/TKXgeWFtjsLHBQhSr+WHDwxJq5lV7gm4vdIIg4V9/XsF3/1lEKs1gehL49V+XwJvy2Epr4LfXD/j6fD643W7FVHBubm5fb6JuocbdZJ1o3Xk8Hly/fh2rq6uYn5/H9PQ0fD5f3TG1oqhcLoNlWZon6gH6TgxptVp8/etfx6VLl5DJZHD58mV88pOfBAD84R/+If74j/+4qccRRRHvv/8+vvOd7+Cf/umfYDabkU6n8Y1vfANnz55Vjksmk30zYwP0l4A4bZUhSZKQTqcRjUaRSCRgNBo7Pv9zlHOTEYQ3+WE8D3i91fwwlWi0OvarcNRus+7e3wZuvF/B339fQCzGYGgQ+M3fYHFxTgdJ0uP2ShnPojl4LHpoNfULrWwqeJg3UbdQY5tMEISOCBKWZTE2NoZAIICnT58qrbPdIbDkYt1b9J0YGhgYwMDAAICqL0fvDkJnAAAgAElEQVQ4HMb6+nrLj/Ptb38b3/72t/Grv/qr+OpXvwqHw4HLly/XCSGg+sEgMaRO+ula9kMQBCSTSUSjUWX+h+O4E5//qeXNogBsbjJYW6tGZ7jd1egMq/WET/AIdKsddPdhBd/8RwHrGwy8HPA7X2Fx/S2dYifAMAxCfiveX93BcjyPKV/jJ3G3N5Gce9btBbkfBqgPw2g04vz580gmk7h//74yK1orOMnFunfoOzFUy/LyMu7evYtr167hxo0b+PM//3P89V//Na5cuYKvf/3rB7a2vvjFL+KLX/zioX/joK31vUg/CYh+rQzJOxaj0SiKxSLcbjcGBgZUMf/TCEkCtrc1WFpiUS4zcDgkhMMCjrlz0xMsPufx/32Hx4uXDJwO4Mv/kcEvXddDo9n7ujpMOgQdRkSSBQQc+/cWa72Jnj59ivX1dczNzXW1XSrngKmJbrXuXC4Xrl+/jkgk0tAME6Ct+L1A34qhbDaLL33pS/izP/sz2O12/N7v/R6+9rWvgWEYfO1rX8Mf/dEf4S//8i9besxGC2s/bUUHSAypFdmwMxaLQZIkJf19d2leTUgSEIsxePjQDJ1Oi2AQCIUE9NJ43WE+Q52qDC2v8/if3+Hx8DEDixn4wq8y+PTH9NDrD37sCc6C7UwJS9vZQ/+GXq/H2bNnkUwmce/ePXi9XkxMTHRlQe63AerDYBgGIyMjda2zcDgM666yJ7XO1EtfiqFKpYIvfelL+PKXv6xUd/x+v/L73/md38HnPve5jvwtjUaDSqXSkcdSA/0khnr5WuT5n1gshlwuh2fPnqnesLOWeLxqmJjLMWAYYGamgqmp3nwtDuMoC9mrbQHf/B6POx9I0OmBT38C+Nwn9LCYm1u09VoWE5wFT7ezKBSbe35dLheuXbuGlZUVzM/PY2ZmBp4Oh7udhjZZI2TBmUql8ODBAzidTkxNTR3YOkulUrBarTAYDCSKTpC+E0OSJOG3f/u3EQ6H8dWvflX5+ebmpjJL9K1vfWvP7E8rj1/7hqWZIfXSa5Uhef4nFoshlUrBZrPB6/XCbDbj/PnzJ316TbGzU80Py2QYGI0SZmZEpFJ5uN09tkXsNY0W9drPf7vvr2RKxDe/V8H8LYBhgI99lMG//5QOTnvri/Wg04jNVBHPsxJ4QdwzTN0IlmUxPj6OQCCAx48fY21tDbOzsx3zJlLjAPVx7nBzOBy4du2aMqs1Pj6OgYGBhq2zFy9eYGJiAgzDUOvsBOk7MXTjxg38zd/8Dc6dO4eLFy8CqG6j/9u//Vt88MEHYBgGY2Nj+MY3vtHyYxuNRpRKpbqsGpoZUi+9cC2VSkVpfxUKBbjdbgQCAczMzCg3zuXl5ZM9ySbIZKoiaGenGp0xNVWNzmAYIJ0+eafmTrN7UWuWTE7Ed35YwU/elcDzwNuXGXzhs1r4PO3P18jD1D/nJawkCpj0Nt86NZlMuHTpkpLa3ilvIjVurT/uc5Jntfx+P5aWlhTBudvmQJ6votbZydJ3YugXfuEXGt54W/EU2g+LxYJcLrdHDFFlSJ2otTK0e/6nlx3Lc7lqOyweZ6DTAePj1eiM2jWn166pFZp9fxVLVcPEf/6RhEKRwfmzwK/9ig5DA0cfMi6UBazvFLBTFPFoM42A3QCLobVb+25vonA4DIfD0fY5qXFm6KTOSafTYW5uDul0GouLi7BarZienlYMegVBgEajUeKDaNfZydB3YqibyC7Utf11EkPqRS3XIkkSMpmM4v+j1+vBcRzOnDnTdFtCbYtLoVDND9veruaHjYyIGBw82eiMbnDY837Y7wVBwg/freB7PxSRzjCYngJ+7XNaTI8dXQSVKgKWEwVspooAgJBbA4tei6fbWbw17Gz58Wq9iR4/frxn0W4FNVaGgJMV5na7HW+//TY2Nzdx8+ZNjI6OYnBwUBFD8vnRrrOToc9uXd3FbDbvCWtVy4LbKfrpek6yMiQIAnZ2dhT/H6vVCo7jMDo62rLxnXwdahBDpRKwulrND2MYYGiomh/W4yk0HUcUJdy4zePvvy8gnmAwPMTg//gyi/OzR3+iyryISLKAtWQBoiQh6DRhzG3C+zENRvxWPN3OYitdgt/e3vyPzWbD22+/jY2NDdy8ebMtbyK1vF/VBsMwCAaD8Pl8ePbsGW7evKm4VO8+DgAFwB4jJIZaQG6T1UKVIfVy3GJo9/yPy+WC3+9HKBQ68je7k273VSrV/LDNTRaSBAQC1eiME8wCPRYOe953L/qSBNx5UME3vyNgeU3EcJDF7/4mi2sX3xgmtgsvVEXQarIAQZQQsBsw7rHApH9TZRp0GrGRKuJZNAuPRdfUMHUjGIbB4OAgvF6v4k0UDoebtnJQa2VILWi1WszOziKbzeK9997Do0ePEAqF6naK1r6v5ABYnU5HrbMuQWKoBWrDWmX6UQyd9MLbKY5D2BUKBUUAiaIIj8eD8fFxWCyWjt2wTvLGx/NvojNEEfD5qtEZreaH9fJ76rDnX/79oyUe//MfebxcZqAx8Lj8iwX85jsOeGxHqwaJooT1nQKWEwVUBBGcVY8JzgJrg7kghmEQ8llxJ7LT8jB1I2q9ie7fvw+v19uUuzlVhprDarXCbDaD4zjcunWr4QD77tYZz/OKKCI6B4mhFmgkhvpta30/0Y3KkDz/E4vFEI/Hlfmfubm5jm1L3s1JtPsEQY7OYFGpABxXFUHteDz2+qIYK8TgqDhg0pn2/E6SJGxsa/DD/7uIx08YWC3AFz/P4BMfNeHOWgnP4zm4re21NyRJwmaqhJfxHEq8CLdZjwnODLtpr7iqfX84zToM2F87U7cxTN2IWm+ihYUFhEIhcBy37/FUGWoehmEQCATAcRxevHiB+fl5zM7O7klI2B0AS62zzkJiqAX2E0O9/K23n+lUZUgUxTr/H3n+Z2Rk5FiCL49TDIkisLXFYHW1mh/mclXzw2y2Y/nzqmIzu4nvrn4XkUIEn9F+Bh8b/hiAN8Jjc0vA//g7AT/7uRd+P/DZTzL4lX+ng9lUFQHTPisebKSxtlPEsGuvkNoPSZKwnSnhRSyPQkWA3ahDOGCD29K82eak14JotoSl7RwuDre/K6yWWm+ixcVFZau4sUGZkCpDraPVahEKhZDL5bC4uAidTodQKLTn+ZWfV7l1RlvxOwOJoRZoNDNEqJejiIhKpYJ4PI5YLIZ8Pg+XywWfz4fp6ekT+cbbbTFUzQ9jsLLCoFRiYLdLmJkR4Gx9U1LPs5ZZw7uRd/Fi5wWK+SKuBa7hSuCK8vtkSsT3/q6MW3c0EHgGly9k8X/9jh92a/37wmczwG3W40UsB59VD4Pu8LZGLFsVQdkSD4teg3NBO7y2wyuOu8WHXstinLNgaTuL7UwJviYeo1lMJhPeeustRKNRvP/++xgaGsLIyEjd31dbZaiXvrBaLBZcvnwZ29vbuHPnDoLBIEZGRuqeTwqA7TwkhlrAarUilUrt+Tm9+dRJq5Wh2vkfQRDg8XgwNjbW0fmfduj2347FqiIon2dgsUiYmhLgdnf1T6qa99bfw1ZuCx8f/Tg8RQ+cNidMOhMyORH/+C8CfvIuC4DBtbclfOoXJaQS+T1CSCbkt+LmchLPojmcCe6fTJvMl/EilkeqUIFJp8GZARt8tubjGRo5ZQ+9dqZ+8ioDj0UPDdvZ95HX693Xm0htlSG1iTOZg0Saz+eDx+PB8vLyvrEptBW/c5AYagGLxYLNzc2TPg2iSQ6rDEmShGw2q/j/aLXars//tEO32mSJRNUwMZtlYDJJCIdFeDzSkXc9NUKt38wlScLzneeYX5/HO5PvwG1y49Pjn4ZRa4Reo8fy8jKKJQnf/gGPH/0UKBRYzIUr+PXP6zE2pEc2yyOV2P/xzXoNhl0mrCTyCObLcJnrW13pQgUvYnkk8mUYtCxm/FYM2I1gWxQujZ7fZL6CfJnHciyPoNN05GHqRmg0GoRCIWSzWTx69EjxJlKb+FDb+cgcdl4ajQaTk5MIBoNYXFxEJBLBzMwMTKb6tisFwB4dEkMt0MhnSEZt34SOSj9cT6N5rt3zPxaLBV6v99jmf9qh02IolaqKoFSKgcEgIRQS4fN1RwQB6qycSpKEp4mnuLF+A6+yr2A32JEup+E2uWE3VCs4FV7CT2/pMH/bDJ5nEJoW8R8+y2BkgIXRWN+yOIgxjxnbmRKebmXx9qgLLMsgW+LxMpZHNFuCTsNiymvBoNPUdvWmtjK0k6/gRSyHnUIFRi2LCa8FkWQBAw4jzPru7ECyWq113kRqE79qFkPN7AqTW5OxWAx3796F3+/H+Pg4tc46iDrv/iql0QA18KYd0y9bHfvlehiGgSiKe+Z/nE4nvF7vic3/tEqnxFA2WxVBiUQ1P2xyspof1gNPQUcRJRH/9cP/is3sJlxGF96ZfAfnvOegYavvd1GU8O4tAd/9oYRIxIrREQn/65eAszPVXVzl8pvdo828LhqWwbTPgvvraSxtZyFKwKt0ESzLYNxjxrDL1LYfUO155CsS7q2lEM+VodewmPZZMegwghclvPcygadb2Y4NUzdC9iby+Xz42c9+hnv37uHMmTNNexN1E7WKIUEQWjovjuPgdruxsrKC+fl5TE9Pw+v11h1DrbP2IDHUAgeJoVpL9V6nH8RQsVjE1tYW0uk07t27B4/Hg9HRUVit1p77lnRUMZTPV6MzotFqdMbYWDU/rIdf3pYRRAEvUy8x5ZoCy7CY9czi7YG3McfNgWWqi4QkAe8/4PH335fw6hULv1/Cr/+HND5yyQifr37ep9WgVptBi3xJwA8eRzHjt2KCM2PEbYZee/QFKlvi8XQzjSdJAbPeCiY5C4Zcb6pMepbBRJeGqRuh0+lgNpsxOTmJ+/fvg+M4TExMnOj9RK1iqJ37rLyrb2BgAE+ePEEkEsHs7CzMZnPdcdQ6aw0SQy2wnxjqR+PFXnOhlud/ZP8frVYLt9sNk8mEK1euHP4AKqcdMVQsvskPY1lgeLganaHSbmBX4EUeH0Y/xHvr72GnuIPfOvdbCNqC+MjgR+qOe7Qk4FvfE7GywsLlAr78HyV87KoWy8sVsOz+2+IPaydXBBGriWp0hk7DwGXWgbPoMOWzHvna8mUBy/EcXqVLEPkKglYtPjLhhq5BlUkepn62ne3KMPVuRFGE2+3GtWvXsLq6ioWFhYZVjONCrWKo1cpQLUajERcuXEAikcC9e/caik5qnTXPKbotHp2DxFCviYeD6BUxJIoidnZ2EIvFsLOzA4vFAo7jMDw8DK1WC1EUsb29fdKneWRavWmVy2/ywwBgYKAanaFv3qam5+FFHne37mJhYwHpUhpBaxCfDH8SA9aBuuNeRgR887sinjxlYbUy+OLnJXzioxrotM3v4mr49wURaztFrCTyEEQJfpsB45zltX9QDolcuSXfoFpKFQEv43lspopgGQYjLhO8JhNelLcaCiGg3pl6OZ7vyjB1o7/JMAzGxsYQCATw+PFjrK+v7+tN1E3UKoY6UYGXRWckEsH8/Dympqbg8/kOdLGm1tleSAy1wH4+Q1QZOj54nlfmf3K5HJxOJziOw9TUVMOwQ7UNcrZDs9fB82/yw0QR8PtFjIyoIz/suF4HuVIjiALejbwLr9mLdybfwbhjvG5xWN8S8e3vC7j/IQODgcE7n5Lw6X+rgcl4uAg66FoaRmd4LLAaq7faEZeput19K4trY66Wdo2VeREriTzWd6op9YNOE0bdJhh0GuTz+UNFs9OsQ8Bu6PowdSOMRmOdN9Hg4OAe75xuolYxdJTKUC0sy2J0dBSBQABPnz5VWmdWa30Fklpn+0NiqAX2201GYqi7FItFxf+H53l4PB6MjIwcOv/TLx/ww8SQILzJD+P5N/lhpuZNj7vKcbwORb6I91+9jxc7L/DlM1+GQWvAb1/4bWVnmEw8KeLvfiDixoKEoiDgnY9r8Ku/rNnXJ0gWV3IIbzQaRTabhcvlQjgcVn4vR2csx3Mo8iJcZh0mODscu6IzWJbBjN+KD9ZSWEnkMc4dXqGpbbWJkoQBhxFjHjOMNSaOoig29TxPea2IZrs/TL0fsjfRixcvFG8i5zE4e6pZDHVylspgMODcuXPY2dnBgwcP4HK5MDk5WbdTdnfrrDbrrF/ume1AYqgF9hNDahMPR+Wkr2f3/I9Go4HX6z2R8rpaaCSGRFHOD6tGZ3g8VRFkPfo4Ss+Qr+Rxa/MWbr+6jRJfwrR7GkW+CLPOXCeE0lkR3/mhiBvzVfF44aKAsTNZvDVhgd3aOEi1VCohk8kgHo+DZVlwHKcsLJlMBrdu3YLP50OiIGD+ZfJ1dIYWs4dEZ7gtevhsBqwkCgjYjXWp87XIrbbVRB58TautUUWnWSsMvZbFhMeMpWgO0UypKXfrTqPRaDA9PY2BgQE8fvwYZrMZoVAIOt3RAm0PQq1iqFvn5XQ6ce3aNaytrWFhYQETExMIBALUOjsAEkMtoNFoGi5KVBk6Orvnf+Qk5wsXLnT1JtkL7L45SVI1P2xlpSqCnE4J4bAA+/4Gx33JVm4Lf/Pgb1ARK5hxz+CjQx+F3+KvO6ZYkvD9Hwv4158CpRJw7qyEL3xWg0G/ER+ul/EyXoDXqleqLPl8HtFoFLFYTHneR0ZGEAgElMcsl8vw+/1gzQ788OYDxNM5vGX14tygu2lxMe21IJ4rY2k7i/ND9RUaQZSwcUCrbT+aEUOiWPWTWo7noWEY/MIxDFPvh9VqxZUrV7C5uYmbN28qO6S6UZ1Qqxjq5i5khmEwPDwMv9+PpaUlJUvOtitosFYUlUqlUxsAS2KoRRq9QfpRDB3H9fA8j0QigWg0ilwuB4fDse/8z2lHkiRIUjU6Y3mZQbHIwGaTEAoJ2BVu3dekSinEC3FMOCfgNXtx0X8RF30XwZnrE9QrvIR/uSHgB/8KZLMMZkIivvBZFhMjb255Uz4Lbi3v4P5KDBybQzweh16vh9frxblz56DX6/Hs2TPod02e7xQqeBwtIVMW4fMHMGCNQhN/gayhCI9ltKn3rkGnwbjHjGc1FRpRlLCZLmI5nldS6sc5855WWyMOa5NJkoRX6RKW49Xw13GPBbkyf2zD1PvBMAyCwSC8Xi+ePn2K9fV1hMPhPbMuR0WtYug4zkuv1+PMmTNIpVJ49OgR7HY7pqam9nzJPO0BsCSGOsBxiYfjopuVoVKppMxe8DwPt9vd1PzPaYZhGCQSDJ4/Z5HLMTCbJczNVaMzeoWjDlAni0nMr8/jfvQ+zFoz/vPl/wyWYfHLY79cd5woSvjZTQHf/SGQTDIYGRHxf/5vDOam39z4JUlCKpVCNBpFaj2Ol7we16b8eOuttw50Ic8UebyI5xFNFWAzGzHjt8IgsIhu5zEzc0nJ6Jqbm1Myug5iyFkdpn66lUWZF7GaLKBQEeAw6TA3YNsT3XEQ+7XJJEl6vYOtKoJsBi0uDDrgserxcCN9IsPUjdDpdDhz5gx2dnbw4YcfdtybSK1i6Dj96RwOB65evaq4hI+NjSEYDO7bOiuXy9jc3MTg4CBYlu37+zOJoRbZr01WLpdP4Gy6QyetAiRJQi6XQzQaVeZ/OI5rmK9D7GVnB1hcNEOr1cLrBWZnRXBc96IzusFRbqLJYhI31m7gQfQBGIbBBd8FXA9eV4wSZSQJuHWfxz/8k4StLRaBgIjf/S3g8lkdGOZNDEs0GkUqlYLdbofX68Vnxsdxdy2LHUkCwzaexSnwIh5uZBDNlqHVMBj3mDAZcEKv0yIer+7iYllWmYN5+PAhHA4HpqamDhRXDAO4zHr8y5NtrCTymPZZFaHSKo3EUPT1Nv5cWYBFr8G5oL2ujTfltSD2ulV3Yej4h6kbIc+6rK6uYn5+HqFQqCPeRGoVQ6IoHusYQK1L+LNnz5TW2W7xLguilZUVeL1esCzb9/NEJIZapJHbdD+2yY4ihkRRRCqVQiwWQzKZpPmfNkinq9EZOzsMKhUWoVAFMzNiT4mgoyAv7ulSGo/jj3E5cBnXgtf27A4DgIdPq4aJq6ss3G4J//t/kvDRK1pIkohodFtpwzqdTvj9foRCobqbeshnwQdraawkCpjg3rj4FioCXiYrqGRzsNtYjHpMGHaZIPKVfedsrFYrrl69ikgkgoWFhX0X81i2hJexPDIlHm6zHgatBuGAFVZje5+PWjEUz5bxIpZDpsTDpNPgzIANPpthj1gy6DQnPkzdCJZlFW+ixcVFrK2tIRwOH2nzhFod9U8quUCn0yEcDiOTyeDx48ewWCyYnp6uawnL5ybHGpVKJeh0OtVmOB6V/ryqLiLvKKsdQiMx9Gb+JxaLIZvNKvM/k5OTff1totPkclURFI8z0OmAiQkRfn8eHo/hVAihzewmbqzdgN1gx6fGP4UR+wj+y6X/ApNubxXxxWrVMPHpEgubjcGX/r2Ej70tIbUTw4MHUZRKJbjdbgwPD8Nms+1boXKadfDbDVhLFhCwG6BlGawkCthMFREv8Jj16HF2zKkYGtbWgBtVZBiGwcjICHw+Hx4/foyNjQ2Ew2Ho9XokcmW8jOeRKlRg0mkwF7DBNeHGwnISz6L5tre7S5KETFnE7ZUdpIvVxw4HbAjY94qgWgadJmykiljazsLdoWHqTnlKGY1GXLx4EbFYDHfu3EEwGGzbm+i4KzDN0imfoXax2Wx4++238erVK9y6dQsjIyMYGhqqenXViKF+8Ww7CBJDLSK7UNeKoZPeit5pWJYFz/OHHifP/8RiMZTLZXg8HgwNDR248JwEzW47PkkKhTfRGVotMDoqYnCwmh/2/Lm6z70ZDruRrmXWcGPtBp4nn8OoNSpxGQzD7BFC61sivvVdAfcfsDCZGHzq35VxcTaGTDqGRw8FRYS3EhA6yZmxlSnhx0/jsBq1kCQJAbsBbt6AIY9pX2fng5CNBre2tvDjn98E7H5ozA4YdRrM+K0YsBsV08Xx19lhW+kS/PbWKjQ7+Qrub2SxFqtgwirseeyDYFkGIb8VdyNV36OJJnyPDqPTnzeO4+ByuY7kTaTmNtlJV6wYhsHAwAC8Xq8y9zY7OwuWZRv6E/UrJIZapFEkx2mpDMnzP7L/j+y9EgqFVDv/I3+jUeuHuFR6E53BMMDQUDU/rPZLbK9/KzvsuX9v/T38aOVHMOvM+KWRX8LlwGUYtHsFQTwp4lvfF3D7DgMJAs6fiePCzAYsJsCg92KozVYKL0rYTJeQKlSwmijirSEbLo06YdZr8DR18Lkf9t7KFnlsVYxgvJPYfrUJZzqBq1fOwmat/7wMOY14lSriWTQLj0XXVIp9ulDBy3ge8VwZhbKAUaceHxl3t+RqDVTnlvw2A1Zf+x4ddZi6G8JD9iYKBoN49OhRy95EahVDagr41mq1mJmZQTabxeLiIhiGgUEN9vXHBImhFjltYmj3/I/JZALHcTh//rwqy867UauQqFTeRGdIEhAIVKMzGuWHqfUa2kWSJLzYeQG7wQ6v2YuQOwSWYfGW/y3oNXufgHRWxD/8s4Af/4xHsVjC5FgMn/g3eUxOcOC4s3u2vjeLKEnYSBWxmiigzEuY8JjhsejBMoBOwyjnepiYa/T7XInHy3ge25kStCyD6YADH5/1I5NO4cP79xAIBDA2NqYs0AxTrdC8v1rNDjsoyDVb5PEinkMsW4aWZTDJWaB3iMhmhJaFkIw8TP2sge9Rq3Tzy4fFYqnzJmq0I6oRahVDajwvq9WKy5cv49mzZ4hEIlheXj7W6JSTgsRQizTKJ+s3MSQ7QD969AjZbBZ2u73jW12PC1nYqeW8eR5YW2OwsVHND5OjMw4qaPSLGJIkCUvJJdxYu4HN7CYu+i/incl34DF54DF59hyfK4j45nez+Jcf88hmK5gLl/Frn9NjLjR2pCFOxXMnUUCpIsJp1uHMgAkOkw6ZIo87kRRexgsI+Q5vGe1+XQplAcvxPF6lqyGqo24zRtxv2mwulwvXr19XWj612/AdJh2CDiMiyQICDiOshvprrBVYGpbBuMeMYZcJWg2Lra3MkQQIyzLQsAwWt7IYcBiPNEzd7QW+1ptoaWlJmck6yJtIjaIDUFdlqBaGYWCz2TA8PIxKpYKFhQXMzMzA7/cf/o97FBJDLdKoMtQPM0O18z+FQgEajQZjY2Oqm/9pFbUICUEANjYYrK1V88M4TsLoqAiz+fB/2w88Tz3Hd7a+g+3cNpxGJ96ZfAfnvOf2HCeKIrajCfzDP2fxkxt68LwRZ89o8BtfsGJqtL0KkIwkSYhmy1iOF5AvC7AZtZjxWeqiM2xGLYIOI9Z3igi8nt1ppjJUqghYfj10DQBDLhNG3WbotXsXYJZlMTU1hUAggEePHsFms2F6ehparRYTnAXRbBlPtrK4PFKdi8mXBSzHc9hKlxoKLPna2vmc1kZ+lAURDIBn0dyRhqmPqy2t0+kwNzeHVCqFBw8ewO12Y3JysqG4UKsYUut5AVDiOcbGxjA4OIjFxUUYDAa43e6TPrWuQGKoRRrlk/ViZUiSJCV6IB6Pg2EYcByH6elp8DyPjY0N2Psg34Fl2RMVQ6IIvHrFIBKpRme43VUR1IrBrry1tdcQJREMqoviVn4LAgR8fvrzmOPm6nyCBEFAPB7Hq1fbuHEHuPthADs5Dv5B4Pd+w4i56aPfpuKvd3FliwIsBg3OBm3g9vHzGefMiGbLeLqdhWWf511e7Mu8gNWdMtbEJKTXIarjHjMMusO/7VutVrz99ttKfpS8DX+Ss2BxK4OVeA6FiojNVLEareAyYWQfgdWqABFECWvJAlaTryM/LHqMcxZUBFEJkW13mPq4F3iHw3GoN5FaRYdaK0NA/bmZzWZcunSpJ0Yj2oXEUIs0apOd9ILbLLLzbiwWQyKRUOZ/5OgBmWw225OLbyNOSkhIErC9Xc0PK5UY2O0SZmcFNGFMvIdeq8zxIo8Pox/ivfX38MnxT8LIGHHFd9MQOjIAACAASURBVAXDwWHlWmpT4IvFEta2fZi/M46dlAEDAxJ+4xd5MI48bJwGR7lNpQoVvIjlkSrwMOpYzAas8Nv0Bz6nWpbBlNeMR5tZ5HICBhscUxFErCcKuB/JIl8QcHFQjzFP4xDVg5Dzo+Rt+Ovr6xifCiFVqOAfH2xhxm/DkMuEMbfpQIHVrBiSc89WEgWUBREeix7jHjPsNZEfvtfD1AMHhMgexElsWGAYBqOjo/D7/Q29idQqhtR6XkBVDO0eoO61e1ErkBhqEYvFgkKhcNKn0TSCICj+P+l0WvH/GR8f3/cbST+0/WROok0m54cVCgysVglTUwKOUllWS6vvMCpCBR9sf4CFjQWkS2kErUEYNNWbqY7VoVwuIxqNIhqNQhCqW+CL4gS+f8OAtTUWHo+Ir/wvwL+5pAXL6vDhemVPkGqzZIrV+ZpErgK9lsW0z4IBhwFskzdzn82AzXQJD9d5nBHePPeCKCGSLGK7UIAgAU6TFpMOI+YGjlZFNRgMmDt7HnefreG///A2rE4OVqMFPpseM/7Dy4iHCRBRlLCeqrbD5NyzMY8ZTvPeb/rTXgvi2cYhss1wkgv8bm+igYEBjI6OqlZ0qPW8AHVXrboBiaEWsVqt2Nra2vNzNS1W5XJZmf+RjeeCwSBmZ2ebUvadjOM4aY5T2CUSVcPEbJaBySQhHK5GZxyVXhFD/+3hf8NGdgPD9mG8M/kOxh3jKBQKeJZ8hlwuh83NTXi9XszOzmJ9W4//97sinj1jYbNL+PUvSPj4R7TQaN68P6d8FtxaSeFZNI+zQdsBf/kN+bKAl7G8Ep0x6TUj6DC2Nf8y7bXgwRNgOVGE22lXdp7lixUMuK2Y8tmQTfJH/nJUEUSsJgpY2ylAYEz4hcvnwO9s4MX2BtZiGox5LLAdkli/nxjaHf7qbCL3zKDTYJyrhsjGsiVw1taGqSVJOvEFXvYmevnyJRYWFpTIFDWi1moLiSHiQBoNUKsB2f8nFosp8z9TU1MwtzGh20/Bs8chJFIpYHmZRTrNwGCQEAqJ8Pk6mx+mRjFU5Iu4t30PlwOXoWW1+OjQR6FjdeC0HLa3t3F76Tb0ej00Gg2GhoYwPDyMyKaIv/hbAQ8eAiYTg899RsSnflELo2Hvk2XSaTDmNuFFLI9YtrzvjA8AFCsCluMFbGVeDxl7TBhyGtsyS5Qx6zXwmVksRQtIlGPQa1g4zVpMuQ0Icg6wLIss2l/MaoeXeVGCz2bAmMdc3UU27MJwPIFv/fwh/jWXwueuzR64MO0WQ6Iop9TnUORF2I06hAO2umHxgxhSnKlzcJv1LW3ZF0VRFQu8RqPB1NQUBgYGMD8/j6dPn2J2drZtK4bTBokh4kD2E0PHbe4nSRLS6TSi0SiSySQMBkPD+Z926Kc2WTevJZOpVoKSSQZ6vYSpKRF+v4ROfwFVw8JSS76Sx+3N27j96jaKfBFuoxs+jQ9MgsF2YhtZcxZerxcjIyPQarWIRCJIZ7X4f/57BXfuMtBqGXzi4yLe+bgGNsvBT9aQy4itTAlL0RycZh20uxblMi8q0RkAMOg0YtTdnmN0LdW09zISRQExsQKeKeGzZ7zgrIa6UOZ2RKogSlh/PbdTEURwVj0mPBZYd1V/OI8bv/Kxy/jxB8/xvZ/M4xcundnXeVm+90iShK10CS/j1ZR6u1GLGb+t5fBXlmUQ8lmVYerxFoap1WZyarFYYLFY4Ha7cevWraa9iU47jcRQPz9nJIZapNFuMuB4xNDu+R85efug+Z926NXdS43oRmUon6+KoFismh82Pi5iYKAandEN1PJ68CKPn0Z+ijuv7qDElzBsHMakYRKJpQR4O9/wvZjKiPjWPxlw574JJiOD61clfP6TGridzYkVlmEQ8llwN5LGSjyPSW91Ua4IIiLJItZ2ikp0xqjb1PJsUSNi2erOs1xJgIZl8W/HnEiUWWRLArgG4zvNfubluZ2VeHUbu9usxwRXP7y8m6DTjNmJYcRSWTx+8hQOmxWhUGiPz5IoikiWJKwvJ5EvC7AatDg/aG+5xVWL26KHz2bAymtn6maHqdU4ByNJEoLBIPx+P5aWlrC+vo65ubkDvYlOO1QZIg6k0W4y4M32+k7fBHbP/7hcrpbmf9pBbTeyo9DJylCx+CY/jGWBkZFqfli3Q5xPemaoIlSg0+gAEXi4/hDGohFndWcxYZuA1+uFw+HY857JFyV89194/OQGg52UEefmyvjKf7IgwLX+3nKYdBhwGLC2UwRn1WOnwCOSLIAXJPhs1UHgo0ZIAHgdolpApsjDpGcxN2DFdlmDca8ZmnR1rsdnM9TdNJt5XeS5nZV4HsXXcztnOXvD4eVGhPxWpAoVOLlZ2IQ0FhYWMD09DZ/Pp3gn3dvMoyyxGBkAzgbt8FoP3jHXLCMuIx5upFsaplZLm6wWeY6JZdk6byKXy4WpqalTteg3y24xpLbXtNOQGGqR/dpkshjqhA9DPp9XBBAAeDyeloMniSqdEBLlcjU/7NWran5YMChieLg+P6ybnJQYShaTuLF6A3fX7uIz7s9AKkv4tO/TCPgC+5pxlisS/vldHj/8EYNcjkV4VsRH3spgJMi0JYRkxjwmLG5l8Xf3X2HYaQJn1WOcM+9xaW6H1OuMr508D4OOxWzAAr+tmvYefX2NU14LErkKnkVzmPXW24Xvt0jsbVnpMNvC3I6M1aDFsMuE1WQBwRE/rni9WFxcxMPnEeg8QyhL1UiXGa8J58ZcHVm0qu3HPNZ3qu3HlUQeQaexqUqTGgaoD0P2JopEIpifn1fE5XGiRtFYiyAIR3J67zVOz5V2iP221h9l6Fie/5H9f+T5n7Nn289dIqocRUhUKm+iMyQJ8Pur+WEnkV14nGJoM7WJHyz+AHc37kISJVwKXsLY2Bg4B7fvzVsQJPzkJo/v/ZBBaofF+Lj0/7P3psGR3OeZ5y/rvlE3CijcN9AH+2CzRZGSqIOWSFGiKMqSbFny2BppZj32etcTO8vZ/TARMzEOeUKK8MQ6NkJSaNYKe722LJOiLInUQUmkSaovspvdZHejL5wFoO77rszcD4mqLgAFoApAd6ObeD52o7L+mVWV/yff932eh6cekxkb1DI/LwNbdzMOpotMRfNIkhKq2mk3NCU33wwr5fdCQ/l9tfWt16jocxm5spjCZVTRuyxMaPS5VOeNpqJZxelar+E+f1vLczv16HOZCKaLTAYzDLhMlNp6SBSjRC9PcnjYT49Xh9m8/WpQqSIxu0yCJFnGZzNwrNfOhYVU08PUdwMZAuXe0NPTU/MmCgQCjI2N3bbQ6d0UE9QIe22yPWyIjSpDrbRjRFEkHo8TDodr8z9ut5u+vr531RfwVmMrbTJRhEBAIBBQojOq+WG36R65BrejMpTP5wmHw0wtTvFs4FmsFiuPTjzK+/reh02/voeOLMPJcyL//FOZcFhFZ6fE734aDk1otqWmk2V5eXbnZnTGB4adzMYLhDMl+l1SQyfmZpAtVpiO5puW38uyTDQaJTY/z9x0BI16P363DV1dyGoV4bRSCcoUK5h1avZ32vBuI+erCo1ahdus4+WrUaajWbodJt4z2oX7cC/Xr18nEAjS29u75eM3IkG9de3HVoapd3vFYzX0ej333Xcf0WiUs2fP1ryJbjWhuxVjFTuJ1TOwd9NnuhXskaEWsdnM0EYolUpEo9Fa/pfT6aSjo+OWzv+829EKkZAkWFwUmJtTUS6Dy6VEZ9zp7uSt+G7Iskw2myUcDnM5cJm4FOeRoUd48PCDOPodDNgHsOg2rr68dUnkBy/IBAICbjf8q9+VefCItiEJaoXMbRSdYdCqOTOT4Fo4y0RHc95DVeRKIjOxPMGUEnTa5zLS5TCuUahVIUkSkUiERCKBLMvodDqO7xtktqB4GY36bLXzimaUSlCqUMGoVbOvw4p3udW2XcRzpWUX7TJGrQqNSsXhrjYMy0RlbGyMSqXC7OwslUqFgYGBpjfZUkViLp5nPp5HkmXabfqGTtqtDFPfLZWh1XC5XCtCdMfGxnA4HLfs/d5tlZfdjj0y1CL0ej3FYnHNv69Hhurnf2RZrqW/m0ymPQJ0G9BMZUiWIRhUojNKJQG7XSFBuyWabacqQ/V2DLFYjLQqzfXydUKEsBgtuLwudBodB70HNzzOlWmRZ38icf26gM3GsmGieoVh4ur1N4NmojNMOjXdTiMz0Tw+W6mp+ZtCWSFBS6mi0hpxGul2rO9BVC6XWVhYYHFxkZmZGUZGRhgcHMTj8SAIAuJ8nPlEAb/dRDJfYS5ZQp9PYtSqGfdZ8dl2hgQlcmWmolniuTJ6jYoRr4UHeh2cmU1wI5pd4Xqt1+sZHR0ll8tx4sQJxsfHN9zIVxg9SjLtyx5H5g1msIaqztThDAf96w9T322VoXpUQ3Q7Ozu5ePEiBoOBkZGRWzKusBtVd+9m7JGhFrHej7y66a6e/9HpdHg8Hvbt27cm52W3Y7f5hWwFGxEJWYZwWCFBhYKA1SozOiqyjpXLHcN2yJAkSSQSCcLhMIlEApvNhtqq5orxCrPpWUxaEx/q/hBHfEfQazb+fs4tSjz7E5G3LwrkpBKPvE/m9z9hRqfd3nekmdmdevQ6jYSWvYeOmbTr/l2pIjEbz7OwPATc2aZ4EK3XXsvlcgQCAUKhEJIk4XQ6GR4e5tChQyvmSPqdBoLzef75wiJCIYdBo+Zgu4UOm6Elc8L1kMyXmYrkiOVK6NQqhj1mOu3GWhuv22FkJpajo61Uc5KuVmP6+/tpb2/n4sWLGI1GRkZGVog6VpOgFUaPm8CgVdPnMnE9kiWaKa07A3U3k6EqTCYTR48eJRgMcvr0aXp7e/H7/Tt6XnuVod2FPTK0AxBFkUKhQDwe58aNG1itVjwez109/1Mld3fr+qtYrzIUjSr5YbmcgNksMzEh4nLdgQU2iVbIUNWPKhwOk06ncTgceDweuvq7MOvMpIopkqEkH+77MIfbD6NTb/zUG4qK/OBFiTfPKYaJj35IZvSATKJYpCga0Gm3dhvJlUSmojnCaWV2Z8Btwm/fPDpDJQgMe8ycD6SZieXpd610WW/VgyiRSBAIBIjFYqhUKrxeL36/H5PJxPnz51f8bbpQ4UpIaeFFM2X6TWoOdJrx27c/UJYuVJiKZIlkS2jVKoY8ynFXX48+l4lQusiVYIZjvQ5UqpUeZ9WNfGFhgVOnTjE4OIjL42UunmcurpAgj0W/JTVet0Nxpr4SynDc5GhI/mRZ3lX3ja0+1AmCgM/nw+12c/XqVU6fPs34+DhWa2vt2fWwmytDje43dzvB3Qz3NBmam5vjS1/6EsFgEEEQ+OpXv8qf/umfEovF+NznPsf09DR9fX1873vfa7k3HAwGefbZZzly5AiCIKDVarFarQwODu7aL3gruFfI0OqqSjyuGCam0wIGg8zYmJIftpt/583chMrlMtFolHA4TD6fx+Vy0dXVhcVi4XriOj+c/yFatZYv7PsCNr2NPzr8R5seN5GS+OHPRU6cEpBlgQePyzz5W2rsNhVlUc3pmRKToQxHu9taulG22rZqBGWGRcdcLE+7VY9Jp6YiyQQShaY8iGRZJhKJMD8/TyaTQavV0tPTQ0dHx5qWiCAIZJaHriOZErJU4f4+B9Fsmen5RcRt2lhlChVuRLNEMiU0KoEBt5kuuwHNOtdDrVKqZ+cDKeYTeXqcpobDrn6/H7vTxb+8eZGFs9N0dnXT6bQ0dLtuFiqVwGi7Mkw9G8/T51ob9yNJ0o5YjOwUtks6NBoN4+PjpFIp3nnnHRwOB4ODg9uWne/mytBuXtutwj1NhjQaDd/4xjc4cuQI6XSao0eP8uijj/LXf/3XfPjDH+aZZ57ha1/7Gl/72tf4i7/4i02Pd+PGDZ5//nkWFhZ46qmn+OAHP8iTTz5JR0cHS0tLlMvle4IIwb0TyVElQ6mUQoISCSU6Y3hYic7YzSSoivXaZMVikUgkQjgcplKp4HK5avNoMjKT0Uleu/AaoWwIu8HOe9vfW9s0NyIv2bzMj39Z4ZVXBSoVgcP3yXzqY2ra63yCqpWLi4sZ5hMFuh0bV0ZkWV7TtvLbDfQ41m9bbYYhj5lYrsylpQxeq47ZWJ6yKOO26OhzGRtWPSqVCktLSwQCAUqlEkajkaGhIdrb2xv+dgsVmclQjnhBrg1de0wq2qwmPFaJa7MLzCZK9G9ByKUQrByhtDLQ3e8y0eVoLkrEbdHjNuuYiuRot+rXkKH63DOdu5the55iZIo2WzfmDdSBzcBp1mHTa7i8mMZn06+puO229vpOVWBsNlvNm6je+PJOr+tWYI8M3WPo6Oigo6MDAKvVyvj4OIFAgOeff55f//rXAPz+7/8+jzzyyLpkKJFI8PWvf52f/vSneL1ennzySTo7O/n5z3++4glSrVZTKBRu+TndLtwrZCifV3PtmhaDQY1WCwMDSnTGLr0HNUQ9GapK4MPhMIIg4PF4GB0dXeONcnbpLC/eeBGX0cUnhj/BPvc+VMLGJ10qy/z05QovvSyQy6nYNy7x1ONqejobv85r1S+bCubxWHTrtqFEGQLJEjcKiR2NztCoBcw6NSemE/isegY8JvpdJmwNqh6FQoGFhQWWlpYQRZG2tjaGhoZwOp0NN+58WWQmmudipEy3sUy/x0q3w4BaoPbQY9Gr6LRqCWUrJHLlph2lcyWRqUiW4DIJ6nWa6NlCntqw18LJ6ThXw1lUywRkdfir26yj323GavAgin6uXbvGqVOnmJiY2FK7J18SmYnliGZLBJJ5roTWDlPvNjXZTpKOem+iyclJ5ufnGR8f35I30W4mHO+2XDK4x8lQPaanpzl79izHjx8nGAzWSJLP5yMYDK77Or1ez+HDh3nmmWdqOTb/8A//QDabXUOG7gXyUMXdTobyeaUSdPWqgVIpx+ioEp2xS+8960KWZQqFAslkkjNnzqDVahsG8oqSyIXwBcxaM8POYfZ79mPUGBl1jW5KgkRR5tcnRF58CZJJFQMDEk89LjDav/nmPuQ1c3omydVQlgP+lRUHcbltdXYhR1mUGO/T0r8D0RlVI8bpaJ58ScRh1GDSqZnwWdYQinQ6TSAQqLm5u91u/H7/ukSgWJGYjuaUFh7gMal4oMeG1axsdquHgzutGpKlCpPBdG1+Zz3kS+LysQuoBIUEdW+jMmbUKQPNNyJZtLkKYrJIIhqnLEq4zDqFGNblnqnVakZHR2vtnmolsZkNuUqCFpMFBEGg322m321iNpYjZjeuUPXttgHqW1GB0ev1HDx4sOZN5PP56Ovra+l99ipDuwvvCjKUyWR4+umn+cu//Etsq/TSm7UMjEYjTz/99Ip/q4a11s8ZNeMzdDfhbiVDxaISnREMqlCpoKtLwmTK0NNz57K9WsVqCbxGo0GtVnPgwIE1cwplscxbobc4sXCCVDHFPvc+hp3D6NQ6xt3jm7wP/ObNCj/6GUQiAn6/zO/9Ntw33vy8h1Grpt9l5Ho4RzhdxGPVI8kyC8kCs7E8pYqMVa/Gb9Uz2qIv0Nr1Kjlc08tGjBaDmoNdNvQaFW/MJrkRyTHabkGWZWKxGIFAgGQyiVqtprOzk87OTgwGQ8NjK/ETeRaTSnW3Y1l5djk3j36DCpbS3jIQKom1+Z3VKJQVElQlEl0OI71O05ZJUD38dgNvzSd5azrHIaFAj9dIv9tE2wbhrzabjQceeIDZ2dman47T6Wz4t6tJkN9upNdp5NTi6/zRC39EuWLi/3nsBY733SSCu40MiaJ4y9ZT9SaamprixIkTG17LRuvarYTj3RbFAe8CMlQul3n66af5whe+wKc//WkA2tvbWVxcpKOjg8XFxZb7vo1cqO81MnS3VbpKJZibU/LDADo6lPywTEYkFtv9RGi1BL6qSOzv7yeTybC0tLTm5vR2+G1+OfNLMqUM3bZuHht4jAH7QFPvd+5ihR+8AAsLAh6PzB98QeY9h7fmGt1lN7CUUqTuxYrIfKJIoSxhN2nY12EiGy9u+7tUnyRv1qvZ12HBU+fs3GU3MB3JQi5GOhoin8+j1+vp7+/H5/Ote2PfTHm2mYpPlmVcJi2SqMzveK03Z2iKZZHpOoJVJRIbkatmIUoyC4k8MzElGkiFMjB+qLu5MFWVSkVfXx9er5dLly6xsLDA6OhobfB5PRJ0YvFVPv0//h3X4tcAOOg5SrZYXjFMvdvaZLda3aZSqRgcHKSjo4NLly4RCAQYHR3d1JtIkqRdG7e0m4narcI9TYZkWebLX/4y4+Pj/Nmf/Vnt3z/5yU/y3e9+l2eeeYbvfve7PPnkky0dt5EL9d1aSVkP28lau52oVG7mh0mSkh/W3S1TLQDc6cT3jbBaAm+32/F4PAwPD6/YTOrPoVApoBJU6NQ6BATcJjdPDj9Jj62nqaffySmRZ38sMzUl0NYm8/mnZT5wfH3DxGYgCAJus5ZfXI4yHc0z0m7moPdmIGk2vvVstXhOCVFNbWDEWCqVENIhpi5d5YYkcnSgnbGxMdzu9bPUysuzNfPxgmI6uEyCVrfwmiFDgiAw7LVwajrOlVCGUa+FmViehWUS5LPp6XeZdoQESZJMIFlgJpqjJEo4TFr2d7qREgvEcxXyJXFDd+jVMJlMHDlyhMXFRU6dOkVndx8FrbWm9KsncH/y4p/w7XPfBuCg9yDffPybHPYd5nwgyUw0Vxum3m3tn9u1nuq1bNabaDfHcezNDN1jeO211/ibv/kbDhw4wKFDhwD48z//c5555hk++9nP8p3vfIfe3l6+973vtXTcRmGt91plaLeTO1FUqhrz80p+mMej5IeZVnUpdtt5rJbAO51O/H4/Nptt3ZuNIAjkK3lemX2FM0tneND/IA/6H2TCPcE+z76m3ncmIPLcCxIXL6kwmeCTj0v81vs12zZMjGVL3FiOznBZdKgFGPaYN2zTNAMlST5PIldGp1Ex0m7GZ1tpxLjaJHG8p524YMPd58PjbDzQulp+77Hq6HMaN3RebmYTMOrU+O0GTk7FmYnksBg0y602U0vkZD1USdBsLEexImE3atnnttZMF7usaqIqgauhDAe7mqsOVSEIAg53O1HRwK8v3kAU5zi+f4iRDgevB17hynSWJ4af4IsHvsjJhZM1ElTFiNfCyal4bW7sXlWTNYPV3kQbDavv5upLpVLZtWu7VbinydDDDz+87pPdSy+9tOXjNqoM7ZGh2wNJgqUlgbk5JTrD6VSiMyzrxGjthvMolUo1BVhVAt/f34/ZbN5008iWs7wSeIWXp17G7rIz6hqlv60faG6TDkYknntB5Nx5Aa1W4Lc+JPHYhzSYjdvbrBSykiORq6DXqhjzmXGZdZyeSXIllOVoT1uNuLSyMWaKFaYiOaLZMtrlEFW/3bCCBMXjcRYWFhqaJL69kGY6lsdj1WGsq8SI0s05prIo4zJrt2Q6uBqyLFORZK6Hs8zF86SLFdQqeGTUg3WLXj71kJbXPbNMgtqMWsZ91jUxJFoV9DlNLGRLRDJF3Jbm3O5Xt8MeOjSGhTzPnvl7PvPD/4uZzAwek4cnhp/gAf8DnPrDU2uOYdCq6V0e5I5lS7uuTXYnKlX13kQXL16sqRfr27W7rYJWj91M1G4V7mkydKvQaGbobmkrNYvdQCLqIcsQCinRGcWi0uIZGxNp2+Qh+E61yaoS+HoVUyMJ/Gb48bUfczl0mR5TD5879Dk8Jk9Tr4snJZ7/mcjJ04pA4OEHZT7xqJo26/ZuvvVkpVF0xojXzNsLaQJNeA/VY7Ubdf+yG3U1RFWWZcLhMPPz8zUlZ09PD52dnSsM/oY8ppq67aDftmaY22HWriu/b4SNqhxlUWI+WSYVz2KxaWi36hnxWpgMZQili9siQ5Iks5hS2mGFDUhQ/Tq7HAaSZcWZ2mHSbejkvZoEddqN9DmNvB54hT/+6R9zPX4dgCHLEN96/FubrrfHYWQxWWAymMF4CweWt4I7STqqw+rz8/OcPHmSoaEhvF6vknG3iwmHKIprjDN302d6K7BHhraA9WaGdutsylawW8iQLN+MzsjnBSwWmaEhkSYFG7eNDNWnwEejUTQaDR6Ph/3797c0JJkoJDixcIIH/Q/Spm/jg70f5EHvg6SWUk0RoXRW4ie/Evn1qyCLAkcOy3zqoyq8ru391JuNznBbdLgtOqaiedyWldWZRqj6+QTTjd2oK5UKi4uLLCws1EwSq2Z3jTY4JT/LyNVwlrcXUqSLIsW6Ye7ttu9AabVNRZRK0HyqRI/HyJE+R63KlCyUmYvn8dn0G7bfGkGSZJZSRaajWQoVCZtBy9gGJKgKWZbRqNWMtFs4O5dkOppj0GNe83frkaDqPNPXT3yd6/HrHPIe4psf/yYDpgHeeecdJsuTDA0Nrbt5q1QCI14Lb8wmSKQrDO+iisedns0RBIHu7m68Xu8Kb6LdXhlaT3l5r2KPDG0BVWl9Pe411rwbyFAsBtPTKrJZAZNJZmJCwuVqjdjcyvNYLYE3Go14PB4OHTrUsiw1mo9yInCCC+ELCimw9dCmb8Nj8pAjR1JObvj6QlHmZ69U+OUrApGEjLe7wL/7HROD3dvb/LcSnbG6OtMIxWUp+1KysRt1oVAgEAgQDAYRRRG73b6hSWIVsiyjUQnMxfJcCSrtulH/5mSiGVQkmblYnploFo1Oj9uio81roNNrXtFuG/JYiGRiTAYzHOlpLvW3SoJmYjnyZRGbQcNou3XdMNTVqBJ+h0lHu1XPXDxPR5uhNhC+Hgl6LfAyT33nj3li+An+24f/G9954jsEs0Hua7+vduzjx4/XZPijo6O4GoT45UoioXSRQCJPIVHmeEViLRW7M9gtpKPqTRSLxTh37tyusyCox26uWt0q7JGhLcBisRCNRu/0Mm4pVCoVlUrljrx3MqmQoFRKQK+XGR2V8Hi2Fp2x05WhjSTwW7l5yLLMj679iLcjrQbcSAAAIABJREFUb6MW1Bz1HeV453FsdZEJG52DKMr86jciL7wE6ZSKwUGJL39JIE6ZgjoPbM3bZzvRGdXqzPWwEjVRPU+4mZoeSBSQUZRWfS4T+uXjplIpFhYWau1Fj8eD3++vGZ6uh9UeRH0uE8l8BbtRuy0iJMsykgxz8TyzsTzFiojdoGFftwOrQcOV7FrDVp1GxaDHzGQww1KygK9t/SdsWa5Wgm6SoBFvW9MkqP441Q1/2Gshko1xJZhhtN3SkAS9Ov9rPvXcHzOVmAKotcV8Fh8+i2/FsQVBoLe3F6/Xy8WLF2syfJ1OR64kMh3NElwmy/f32nktusBUrICzbWcCTbeL3UKGqnA6nbznPe/htdde4/z584yPjzftTXS7sEeG9tAUGs0M3Wu4E5WhdFpxjY7HlfywoSElP2w797GdaF82K4FvBbF8DKdRqXLo1DqOdx7ngY4HsOjWbvqNyJAkybz+psiPfyYTjaro6pL40meFmmHibMzEjUiOSKaEu4WNtdXE9/XQZTcQTBe5Fs7SY1huLUVzzMcLSLKM16qnz2XEqFUjyzLRaJT5+XlSqRQajYbOzk78fj96/eaDwI08iNwWHVfDORaSBXw2/ZbmdyRZJpSTODmTQJQEHGYt++wWTFpqQafrzRR1thlYTCrn77Lo1lTSZFlejjJRSJBVr+Gg39b04PNq1K9Dp1HhbzPw+o0YU5EsDrNuRTvsQ3/7IV6ffx2AQ+2H+Nbj3+Jg+8FN38NoNNak4//ym1NoHB2IOhtqlWIk2eNQjj99VUUkWyaWLe1IRW672G1kCJT7ksFgYGRkhGvXrjXtTXS7sCet30NTaCStv9dwO8lQNguzsyoiEQGtFvr7JTo7dyY/TBCELZ1HpVKphaA2K4FvBoF0gNfmX+Na/Bp/ePAP8Vl8fHTgoxu+pp4MyTKcfafC8y/KLC6q8Hjgy78n88Ah7YrKWZdDISNXQlnsJm1tEHk9VKMzZusk59uJzhAEgVGvhTMzCc5EskhiBWdJyTDrcylSdlEUWVhYIBAIUCgU0Ov1DAwM4PP5mnoqjWVLTEXzpAsVjDoV4z4L3joPon6XkUhGuQZHupv/3CRZZjFZZCaWJ5AWOdqrYWDZLkCSpKYqpoKgpLufmYnXnLFBIS2hdJEbEYUEWfQaDnTaVhhIbgXVlku1HbaQyFMoS+g0Esd62zix8AoOywG8Wi+HfYfJl/N88/FvNkWC6pEriUQlE5JniOlAgDZNhEeO7sNuu0niPUao6DRcCWV4YJOIktsBSZLWDAPvBkiShNls5siRI4RCIU6fPk1PTw9dXV13nHjsVYb20BQaDVDDzY13tz2FbAW3gwwVCgoJCoUEVCro6VHyw3bSBb6VNtl2JPAbQZZlZlOzvBZ4jenENCatiQ/0fAC7obl5kiouX6/w3E9kpqZV2O3wO78t8/5jjQ0TVcub8dk5JaZixNt4guPmxp+jVNk5ybkkyyQLZaK5ElfDBcadWo72tGE1aCiVSkxPT7O0tES5XMZqtdLX17ehSWI9EstGjMn8TVl/u1W/5rVatYohj5mLixkCyQJd9o3VbdJytWY6lqdYlmgzahi0q7mvy7bub3ojtZnVoKHLYVSGqa06ChWJqWhOiRLRa9jfacNj0e3IxlcUZSaDWUKZkmKW6DBxoNPGd8/+nEPf/j+Zy1zhscHHeO63n+MbH/lGy8fPFCtMR5W2p1oQGPBY+cDIYTKpBBffPk9HRwe9vb2oVCoEYLjdwjtLypB5r2ttRMntxG6T+ldRJRyCINDe3o7L5dp2kO5Or62KO03Obgf2yNAWsF6brCqv340/vFZxK8lQqaTkhy0tqRAE6OxUXKNvxcPbZuexUxL4jVASS3x/8vtoVVo+3PdhDrcfRqduvhw+uyjz/z7vJJEUMJvhySckHn14c8NEm0GD325gPl6g3apboaSqDzst7KDaqjYDs0wo+l0m5GIWjUqCSoGrVxdrJokulwu/30/bZv4Iy1htxLha1t8IXquexVSRqUgej0Vfm01aveb6a2Ezahj1mnGadZwJbm8T6HMamVzK8IO3FulyGHecBFUrQe+Ey4w6i/gdJvqcRl6Z+yVPPvsnTCemQVBxyHuU//LIf2n5+JlChenYMglSrQ2XdTqdHD9+nBs3btQ2cUmS8FgNuDNlppedqXfCfXur2M335PrvgEajYWxsjHQ6va430e3CXmVoD02hkZoM7r48r41wK0wky2UlP2xxUYUsK9EZPT0yTYyFbBmrK0PrSeD37dvX1HxKM5BlmWvxa0zGJvn44MfRa/R8fvzzeE1etOrmycZSROK5n4i8+ZaKbFbP00/KPPZBNSZD85ton8tEOFNaYYQYTheZqg879W5fbaW0f0pMx3LkSxJWw01CUYkHePXCdQrhOTrsRrxeL11dXU0TznShwlQ0R2zZ22jQY6Kzba2sfz0Me8ycmUlwLZRlX+fNp+3Va7YY1BzwWnHVXYvN3JTX+//qQPdUJEtJlMiVRZxmPYe6ttdmrWK1OsxlVPHeAScGnXJL/+LzXyRRTHDYd5T/6cA32O8dY7+n+UpkZvmahzONSVA91Go1w8PD+Hw+Ll68SD6fR5Ikhj0WTmbjXA1n2d/ZWFV4O3C3VeutVusKb6LBwUHa29tva3WmUqnsBbXuYXOs1ya7l1yod7IyJIo388MqFfB6leiMHSy+rIsqGUomk2sk8Pfdd9+OzhLIssxkbJLX5l8jmA1iN9hJl9LY9Db8Vn/Tx4klJH7485uGie97r0Rfe4D3P9xaoDCARiUw7FGMEN8OpChJMpmCiEm3Nux0q1g9wLy/04rTpCEcDvPmZIDg/Dx6qQjWXvYfGqXN3Jx/SbZYYTqaJ5y56W3UWWfE2CxMOsUhWTGLLOE0aVcoz6prbmXQvB6rNymFbObIFCuYdGoeGnSykCiQKpQpVaRtVUkKZZHp6Fp12P995RSH/8e/5u8+9Xcc9h3mu5/8Ln6bn/2e/SwkClwOpjdVtkGVeGaJZEqoVQJ9LoUEbWSlUEV1E3/55ZdrMvxep3GZyN65Yeq7jQzBTW+i9vZ2JicnCQQCjI+PY1qdN3SLsJrk77XJ9tAQ67XJ9sjQSkjSzfywchlcLiU6w3wbDEjqJfDVDKvtSOA3Qywf4/uT3yeSi+AyuvjE8CeYcE2gVjX/XumsxI9fEnn1NwKVisDRwzJPfUyNo03g3LmtfxZatUA8X+LtxTT7OiyM+ywNZ2xaRaMBZqdRxdLSEqffUUwSTSYTAwMDjBpMhLAznShx3yZkSJFr5wilqxuyEb99Y2+jzdDtMBBMFTkzk8Ru1JAvSyuUZxtdi80qQ1XUkyCjVs2Ez0q7TbnOVoOWU9NxroWz7NtClWQ9EvTr2V/wyWf/Z2aSMwA8d/k5DvsO89HBm0P5HW16FpKFdZVtsJIEaVokQfUQBAGdTseRI0e4dOkSgkqFxuC7o8PUdyMZqkKn03HgwAFisRhvvfUWXq+X/v7+23I+7wYCVI89MrQFbDQzdK+0ybZzLrKs5IfNzir5YQ6HQoJu9TzgehL4ZDLJxMTEzr+fJBIvxHGb3LTp22jTt/Fw18OMucZQCc3frApFmZ++LPLLVyCfV3Fgv8RTj6np8qlq57UVe4D66AynSYuAQJtRi8+2PWfZ1blko+1m2rQSCwtzXA+FaiaJw8PDOJ1OgsEghUKBgTYTV0NZllJFfLa1FanN3Ki3g1i2TK5c4UooS5dDz3v7nSuUZ81CkiQKhcIK36NYrsK1ZJx0AxJUhUmnpsdpZDqao6OFKsl6JEitljnwrf01n6Axyxh/97m/Y8Kz9nter2ybiuQYab+59lRemeuJZBUS1O8y0bUFErQaBoOBw4cPMzO/yJk3JynoHfisevrct9+K8W4mQ1VUZ7Omp6c5ceLEuuaXe9g69sjQFqDRaBoShXd7ZUiWIRxW8sMKBQGbTWZ0VMTemmiqJTQjgd/pJ5yKVOFc8BwnFk4A8G8P/1s0Kg2fG/9cS8cpVxTDxJ/+EtIpgeEhiaceFxjq3V4mUH1lpT46I5QuMhnMspgs0LFJu6QRVs/uDHvNmIUiiwtTXF82IfV6vXR2dq4xSZRlmc42PcF0kevhLC6ztrbhFisS09Gc4nJNawaPmyGaVdph6UIFg1bN4W4rFVHGolc3fV1FUSQejxMKhUin06hUKsLhMM7OXt4JFTHks7gdNsZ9Vny29StufU4TwVSRyWCG430bV0kakaBep5F3IufQa48CoFfrOdZxjG8+/k0SVxMNiVAVVoOGTruRQEJxppZkmemo0jbUqAQG3Ga67AY0O0A8QfkOzkRzLGU19A2NcG16jp+feIvPvP8gDtvGBpo7jd1IhrbycKNSqWrWE5cvX655E+3UrONGeDdUifbI0BbR6Mv8biZD1fywXE7AbJaZmBC5VQ8uVQl8JBKhXC7vmAR+0/cVS5wNnuXkwkkypQxd1i4e6noItdBa202SZF5/Q+THP1cME3u6Jf7g8wL7RxvPLzVrD7BZdIbPtkxGIjlcZl3TZGPt7I4RfSXL4vRlbqTTaDQa/H4/nZ2dDW/M9aR0xGvmjVlF7t/vMq1wue5oM9DrNDZUfLWKeE6peFTl96PtZtptekRJ5uR0giuh7IbDzNUqYz6f54033qiRbIvFQiRd4MJMiF/96gwmg46DgyaG/Zu3gFQqpUJzbj7JTCxHf4MqSZUELaUU5+4qCfrl9E/5xD/9L8ymZvnbJ/+Wz4x/hnNfOVd73etXX9/0mgy4TUxHs/z4whIeqw6dRr3jJChbrDCTkihOxRCEm2aMDw15eOntOV547RzvGe2kr6/vthGU3UiGtqPWMplMNfPLM2fO0N3dTXd3947d++6ljM1WsEeGdhDvRjIUjyvRGZmMgNEoMzYm4XZvLTpjIzSSwI+MjOyoBH4zzKZmeWn6JXrbenly+El6bD0t3YBkGd58p8IPXpAJLqlob5f511+SOXZQu+H12uw9VkdndC6TitVkRyEjihHitXCWiY6N+5a5kkKugilFUdRt16EtpQhev14zSawqXZq9sVv0Gnw2PWfnUlyP5DDr1Phsenqcxk1DXZtBIldmOqa08HQaFSPtZny2m/J7lVpg0G1iMqi06+orZKIoEo1GCYVC5HI5XC4XOp2OY8eOIQgCsWyJs/MpErkSdqebj3Z7mbl0jlwkgNThRKXa/HbqNOvwWvXMxPK0225mh60mQVViWE+CAI51HOOgtzWjxNp1WZ5nCmdKDHrMHO5u2zESlClWmInmCKaLJIoyxxxGepymFd/BiR4PU0YT8Vyc4MmTTExMNG2rsB3sRjK0E2uqehNdv36dU6dOMT4+js22fdXebrxetwN7ZGgHcS/NDG22ASeTSnRGMqnkh42MSHi9O0eCZFkml8sRCoVumQR+M+TLec4snUElqHio6yEG7YP8wcE/oMPS0fKxLl0Tee4nEtemoKIp8tlPanjsYX1Dw8RmURYl5hOFWsRFM9EZN2dX8rTbSitk5FWsrjD5zCrUhTih60EqlQpWq5X+/n5cLldLZLC63qVkkWS+jEoF7x9ybtvgEZQ5pulYnvhyC2/Iq8jvG3kQ+Wx6llJKhcxuUJGMK3NmhUIBl8tFb28vFotFIUCxGIl8hdnZMKXZeTRaNcMHRhn0KZWgXNiN0Wjk5MmTjIyM4PF4Nl3rsMdMNFviakjJDmtEggxaNaFsiE//06cBeKDzAb71+LcYc4+1dF3iuRLT0RzxXBmdWsWxXgdBR5FCRULagQJAIwm+xqViyLu2Fda73CYsCx729XZy+dIlrFYrw8PDt1TGvRs3953y8dFoNIyOjpJOp7m0Q9fz3egxBHtkaMto5DatVqvvWLjp7UImo5CgWEzJDxsclPD5diY6Q5Zl0ul0zQPoVkngN0O2nOXUwineWHqDkljigOcAoHzmrRKhqTmR516QuDypwmIR+MyTMm1dZdTqMghbI3Xbjc7ocRpr3kPHem9GdayuMNk1Ipp8jMiSUo2rmiS2+vQpSjILqTLz0wllvRYdj7s9XI/kiWRK2yJDqYLijBzLltGqm/MgqlQq2OQMb91YYmm6wtEBb8M2ayJTJDAdQbP4OoZ8lm67Ebvfj9imX9ES83q9dHd3c/HiRRYXFxkbG9swY0qvVdeyw6ajOdqM2hoJ+sX0C/zbn3+Dl373JbxmL//pff+Jp8eeZsQ10tJ1iedKTEVyJPIKCRr2mOm0G1GrBJwmHadn4tyIZBnzbU3VkMorFbhG6rPg1cbXXq1S5szOB1IkygaOHTtW89JplkhuBbuRDO30mqxWK8eOHSMQCGzbm+jdmEsGe2RoyzAajeTzecx1OnG1Wk2xWLyDq7p1yOWU6IxwWECjgb4+JT9suw8QVQl8JBIhkUhgsVjweDz09fXt6NPJZuZ5VVwIX+DFGy9SkSqMu8Z5r/+9eM2t+/sshiWe+4nEWxdArxf42KMyjz2ixmgQSOYtnJ1LMRXNMeRpXl2zOjrDadbS7zK1HEKqWp7dOTuXYjqao9dpXBHOapRyqHJRUpk0arUan8+H3+9vuSUpSjILyQLnA1kyuTITLg19detNF0VmY3m8Vn3LGWiZ5TmmSGblkPh6JKhcLteiVsrlMm63m2NjfYTzYG+3YTHdJNvJWIrFy9MU5xcxzc7Sff9+XEcOIvh8SCqVYpy1jOr3Sq/Xc/jwYcVW4PRpBgcH8fl8a9ZRPxitZIeJfHjMza9mXuSJf/oz5lJzALw0/RKPDjzKf3zoP7Z0XWJZpRKUyJfRa1aSoCosdTEhHW2GllzHk8vqs+gW1Wduix63WcdUNEe7VU93dzcej6c2EDw+Pr7jld/dSIZuRfVFEAS6urrwer3b8ibaqwztoSVUw1rryVA1juNeQqGguEYHgypUKujulujq2l5+2Gp1TlUCPzQ0dEtuWtUB5PXIUKKQAMBusOM1eRl3jfOg/0FcxtYnwGMJiR/8TOT0GSVv7QMPwxMfUWGz3DwvpRKgJ5Ao4LXqsW1CZmRZJlaQOTWdoLCcmbXd6Iw2oxbv8uzOjUgOjQDaUgp1LkaxXECn09HX10dHR0fLJff6oNNSRcKi19Bj0XPAv7KiNOQxE8uVa8PMzWD1MHf/MglqZMS4OmvO4/EwPDxc2xxESSY9k+BqKMv9PTayi2EWL09RDEbRaAQ6ejuouDS4H3mo7uQ2boP7fD6cTieXL19maWmptrk3Goze12HlhcnzHPjmb7GYuwHAcf9xvv34t1uuBKVKMm/MJkhWSZDXsmGFrN9lIpQuciWY4f5e+6YPCtWZo1iuhFatYtBtVq77KhLUzPDtkNeywnPJYDBw6NAhQqEQZ86cobe3F7/fv2PViN1IhiRJumWEo+pNFI/Ht+RNtEeG9tASqi7Ubre79m/3UhxHqQSBgJFSSflRdHQo+WEbVP83RFUCH4lEyOVyO5YC3wzWU2NF81FOBE5wIXyBfe59fGL4E7Sb23li6ImW3yOdlfjRLyRe/Q2IosD9RxTDRJej8Q1owG0imi0zGczUYjIaoeruPJuSOKwW1sRFbAXVik0kXSSUzBJZijNqKYEgYTCZ6OpXWhatbiCNgk4nfBbKWYlMZu1Dgk6jYsBt4kowy1KqsKH/Ua4kKrMpy0aMvS4jXQ2MGIvFYo0ASZKEx+NZN2tOrRIYtms5f+YKZ06FMVYqqAw6PPuH8Az3ojYamDl9esVrVn+PGpFsnU7HwYMHCYVCvH7yNBpHJxWdVWmzLrfDEsUwXouPiXY/kXyIYx0P8p0nvtkyCYplS9yI5LiRELGWRUaWSdBmyjaNWsWQx8I7iykCiQJdjsZVv/pKk245+Na/qtJUj2aIx3qeS16vF6fTyZUrV1hcXGRiYmLFw+Z2sNvaPLcjL83hcHD8+HFmZmZa8ibaa5PtoSU0Ml68F9RklcrN6IxIRM++fQoJMmzBp69UKtU8gKoS+L6+vlsugV+N1WQonAvz+vzrXIxeRC2oOeI7wns637OlYxeKMi/+WuRX/wL5vMDBA4phor994xudVq1ixKvEZMzFC/Q6V25G9e7OJp2aXpuKo91t27puUjVENZonnclRTodpz8dYTOSR7O3sHx/E4XC0fFwl6LTETINcMoDw2uSaGjpseoKpItfDitx/NbmpKtpCGxgxVglQKBQCwOPxMD4+jmGjL20ySW56jvSNAGI4y5zewpEH9tMz0o16BxRWhbJITDIiuoeYDcxj00T44P37eHnhF3z8+/+excwiwf81yCF/B89/6gI2g5FhZ/PKqugySU4Vyhg0KrqsKh7sd7bk8Nxu07OY1HEjksVr1a9Qfinfv9zNSlODdlsjNNuO9ln1nJ1NcmkxzYMDN9et0WiYmJggkUhw/vz52+q4fDtxKytD9VCpVPT39+Pz+bh06RLz8/OMjY1t2IoURfFdl0sGe2RoyzCZTGvyye5mMiSKN6MzKhXweGRGR1MMDrb2BJPP52sESJZlPB7PbZfAr8Zqld+54Dmuxq/yQMcDHO88jkXXuglcuSLzy9dFfvZLSKcFRkcknnpMYKCn+daV26LDY9ExE83hsegw6dRr3J3HfGbarXrOhIUtE6H6VPZoPEEhEcIk5nCYdHiGuuhVtZFHi8HS2mB0NYx0OxlfVe+hM7NJroVzjPuUzyJfVuaJqoq2LruBHufN2ZRCoVCrAIFSVdhUaSiKCKEQ+ek5gksxkmWoeLz0HznCXElFyqRtmQit3vxXt8O6XRYeHj7M99/6/zjw7acJl5T1vsf/HnLlHBadhQmfg4tLaRaTRTrtGz91RDJFpqM5UoUKBo2K0XYLHTYDJ4KqLUVdDHvNnJ5JcC2cYaLDtnz8fI1kNVtpqmKzylBVqbiYLKBWQShTJJDI0+1cOddit9s5fvw4U1NTnDx5kvHxcey30r31NuN2VIbqYTQaOXLkSK0VuZE30V6bbA8toVFl6G6U1ksSLC4KzM8r0RlOpxKdYbFANrv5DEBVAl/1ALoTEvjNEC6G+f7k93lvz3vpa+vjoa6HeKjrIUza1kMPJUnm1dMiP/mFTCymoqdH4stfEJgY3tr8zrDXTHymzLn5JBadmliusqk0vFncTE7PsRQKk40HaVOX8VtN+Hz9dHZ2otPpKFYkTi0bEd7nb44QrQ5nbSbjaz2Y9Rq6HUZmY3kcRg3JQqWhG3U+n2chFCISiaBSqfB6vezfv39D5RYA2SzCwgKFwBJL8SwxQU+low/vYBd+lxmNSkCfyHMtlCOYKtLeICpkIwiCsK5PkEGr5m8u/A1f+cVXADjkPMR/GP0PfOzYx2qzS742w3J2WAa3pbEZZjitkKBq5MdYu+J2vd2sL7NeQ7fdwPmFFEvJIghs6/jrVYZyJZHZ2M3r47PpeaDPwdVQhhvRHF6rfk2ArUqlqg2iX7x4EbPZzMjIyD1RtbhdlaHVqLYir1+/XiOZq72eKpXKHhnaQ/NolFx/N1WGZBmCQSU/rFgUaGuTGR8XqVdNV8nd6h9GvQQ+FothMBjuiAR+M8ymZnl1/lVOLZ7C7/WTLSmf11ZIkCzDG29X+OGLMkvLholf/VcyR/dvbJi4GSqSjCTJnA2k6XUauK+rbd2B4FYQyZS4FkozH1gkGw/h1MOwy4rfv9YkUb88u7NRblgVjcJZm8n42oxU+2x6zs0l+ecLGYa95przslgqsDA/WyPaXq+XAwcObE6AJAkhGlVIUDTOYrpM2NhGZaCHjm7vmmvsbzMQTJW4HsnirIsK2QzFisSVUJZESXkwqpKgF6//M9++8Cpf/8jX+cK+L/Djqz/mv37wvzLoGCQej3Pu3Dn8fj89PYpx50i7hdPTca6Hs4zXmWGuJkHjPivt1pUkZauOwVWyHM6UWEgWiOfKfHTCS4et+UrQaqyuDGWLFWZiCsmsn5mqemENrxqmbgSz2cz9999fk40PDw/j9bau8NxNuN2VoXps5k20NzO0h5ZQVZPV424gQ7IMkYiSH5bPC1gsMsPDIo1GReoHwiVJIplMEg6HicfjWK3WWyKB3yk8O/ksl6OXsegsHHcf57EDj2G3bq3MfvGqyLM/kZidVeF0yvzeZ2UePqbZ1lP5amPDQbcJk15xY94OEYrnykwuxpmeCZCJh/GYNdzX46S7uxun07nuTW293LAqErny8gzJzXiLjXK46rHR39R7G+k0Kkw6NTadjDYb4vxMBJ1Oh9frbZ5oFwoIS0sIwSCFbJ7FosCi2YU46sXvseJvMHRdXeOI18ybc0pUyGj7xq3TaiXo7XCZLn2JPm9bjQQ9/o//nkAmgFpQ85/f/58x6Uz8/af/vvba6mDrtWvXOHXqFPv27cNisdDjNDETy+Gz6SlLcs0xukqC1rvezc7p1P99aJlkZUsiJp2aR4bdLKUKSJK8re91dS2ZQoXpWI5Quoi6LpZjdfXHpFPT7TAyE8vRmSvhMDUmuVXZ+GoZ/oZzYbsYoije8QfH1d5E1dwzURQ3f9i4B7FHhraIu7FNFo0qhonZrIDJJDMxIeFyrf9UKQgCkUiEVCpFKpW65RL47UCWZa4nrjNgH0AlqBiwD9Bt6+aQ9xBXJ6+iEVr/qt+YVQwTJ6+osFoFnn5S5kPv1aDVbM81eia2NjqjIsmcWZZ57+9s3QgvmS/zzmyE69OzZJMxfDY9B8a76O7qasoksT43rH52Z6Wzs4phr5mONv222negXIfZWJ5AsogkSdi0Eh59mndCUS4kNbxvtIPDhw831xKRZYjHUS0uIsTj5Esi82oTi9ZupG47Xc7GyrPVsBo0+O0G5uMFfDZ9Q+uCKglKlpUHIZdR4IHeNs5EfsNj//hvWMgsAPBQ10N86+PfwqRrXIVUq9WMjo6STCa5cOEC7e3tdHf3MBlM88PzS/gdBsw6DRM+K+2bkM5myZC8rPabiubIl0XMOjX7Omy1yp4oyeu2rJpFMlfiRkIkPhOvOVLhD/a/AAAgAElEQVR3bxK62+cyEUwVuBLMcKx344w3vV7PfffdRzgc5o033qCnp4eurq51z3+35mztFrl/vTfRlStXCAQCmEymNUHL7wbskaEtwmKxEF1O6q5it5YSEwklPyydFjAYZEZHJTyextEZlUqFaDRaqwCp1Wr8fj9jY2O78vxkWWYyNslr868RzAb51MinmHBPcKj9UO1vmg06rSIQlHjuBZELbwvo9QKP/5bMxx5RY9DvXHRGu1VPr+tmHpcOZVO4EckRThfxWJubW8kUK7x1LcCVqVkK2RQddhMPHhmmq6ur5admS93sjnl5mDvagrNzMyiL0rLBY55sNo+mnMZQTqG1mHB6vTze08ObgQxJQb15xbFcRggGERYXEQoFCoKaWZ2DQJsDwWjAbzesUZ5thj6XiVBacee+v+fmLEW1kreQyAMyfV47vU4jZ5MiRp2GcC7MQmahRoIGHYNNvV9bWxsPPPAAZ965yss/O4HB1UmuDA6jliM9m/v/wOZkSJIUFeFMTCFBFr2G/Z02PKtmvIa9Fk5Ox7kazrJ/nZbVekjkyszEcsxHUmTKMkdaMGNUnKktXFhINRymbgSPx4PD4eDq1aucPn2aiYmJhht4q1Wz24XdNqSs0+nYv38/8Xics2fPUqlUcLvdu4Kw3S7skaEtwmQyMTc3d6eXsSHSaYUEJRJKdMbQkBKdsfresJ4EvkqEdiL8b6chyRIXIxd5PfA6kVwEp9HJE0NPMOocXfO3KpWqKTIUjUs8/zOJU2dArRZ45H3w8Q+vNExsFVVPn5lYvhZF0e9uHJ3R5TAQTBe5Gs5iN208t5IplHljcoYrN2Ypl/L4nVbuO3CALn/ntgZMPRYtp6cTTAYzjPssDLhNdO7ADFNFkrkRyXJ1IU4snkBdzjDgNtPT047LNbJiY1gvSLWGVEqpAkUiIEnkTVamHW4WNBZUGjVdWyBBVWhUAsMeE+8sZphPFCiJMpPBDMHqYLRNT5ddzy8XXuRj//i/oRbVvH3gbX53/+/ykf6PtORWXm1XTUVz5PQu+vqs5MMz2PQ2UgULxYq0Yc5c/XEabfiSJLOYKjATzVGoSNgMGoY8tnWJtlGnptdpZCqaI1bn/7MR6n2ItGoVvXY9XSoD/e7W/IE8Vj0us66lypRGo2F8fLxWXfN4PAwMDKzYwHdLBWY1duu6HA4HXq8XlUq1wptoNxLKncYeGdoiGrXJdguyWaUdFo0KaLXQ369EZ9T/9uqlyVUJfL07L+xOE8nqjV9A4PXA6wgIfGrkU4y5xlAJjW8u1Ry59ZDKKIaJr/xGJpap8IEHVfzOE1qc9q3frFa7MDcTnaESBMbaLRvOraRyBd64NM3k1CyVSpler4Mj4xN0tHu3dXPNlZT2TyhdwmbUgKD40PQ4t2eJUBYlriwmmJyPUpZC+NpMPDjUTrdvfN0n4442hRRejyjeQzqNEoEhhMMICwsI2Syo1eScHqb1dpZEteJBtA0SVA+PVY81nufV6zGSEZEJVxFfm4Eeh4EfXXuOT/7w/2ApuwTAUcfR2kbRLBGqtqumYznFkqCuXSXLHUxeu8HLlycxMMCDo/6mjle/WUmSTCBZYDaWo1iRsBm0jLZbcTVhedDrNLGUKjIZzHC8b/2WVb3PUb0PUTqVZCG3tYpHdZj6eiTLREfzD2BtbW0rzAXHx8drflm7lXTstspQPSRJore3l/7+fi5fvsz8/DzHjh275wnRHhnaInYjGcrnlfywUEhArYaeHgm//2Z0RjabbUkCv5tmoCpShbdCb3EueI7f2/d76DV6Pj/+eazLzr4bYb02Wb4g88KvRX79L1AswoH90H+wgNsJ9ratDVtXDQino7ladMaEz4Ld1NywpNWgoctuYC5eoN2qr70unc3z85PnuTo9jyTJDHR5OTYxiMfl3NI6q1jt51M1NbwRUWTQfruh5SBVWZaJxRO8Pb3ItaUkgkqDw6zjQ/fvo22dAdnVGPFaODOT4MZshHE5jSoUgkoF2WQi29PPtMZKMFdBkAS67PpN51KaRbUdFs+WiefKSBI80GfHoFXz1Re+yt9fUgah39f9Pr718W8RvRZtepNYPbPTqF0lCALjI0NgtPPy2UmEfJJjB0Y33DirZEiUZBYSeWbjeYoViTajlnGftakKTxUqlcBou4Vz80lm43n6XDcfjmRZJpIp1dRtjXyIJEna8qZp0qnpbNNzJZiho82w7jB143Ur5oLt7e288847mEwmRkZGdi0Z2q3rgptEzWg0cvjwYdLp9D1PhGCPDG0ZjaT1VdzuPnWxCLOzSn6YIIDfr7hGazRrJfBut7tpZc5uIEMlscTZ4FlOLZwiXUrTZe0iU86g1+ix6Zt7elx9HuWKzEuvKYaJmYzA2KjEU4+p6O/WEMuaOR9IMx3NM+BuTYK/2nvngH9r0Rl9LhPhTInJUIY+i8y5y1P86vQlurq7Ge7t5NjEIM62raWNV1GsKIPcS0llkLvezweqcSElJoNZjnRvHpkiyzKJRILFYJAbiwkyghGztY2jB/zY1UXEfLppIoQsY07FGV66QWQuTMZjwtrTSc7tYaaiU4hbqbJmzdtBlQRV22E9LhO9LiP//aUf8I+XFvniwU/zlUNfYS41x1995K8Y7xgHICJHNj22JFVNL2+SoAOdtg19mUb9LpLlcRaXgvzmxAn2TUys6w5eFiVCOYnf3IhREiUcJi0THdaWyEQ9nGYdHouemeUwVYNWRShdYjqaJVsSN/Qh2uq9r1SRmE8owoKFZIHJpQzH+x0tH8tkMnH//fezsLDAqVOn6O7u3pWkYzdXhlavbTeOSdwK7JGhLaKRtB5uyutvhzFYuayEqC4uqpBl8Pkk/H6RQiHJ1FSYRCKB2WzG6/VuSQJ/p8lQtpzl2+e+Ta6co7etl08Mf4JeW2/LN8hqZUiSZP7llMhPfgHxuEBfr8RXvigwPnSTGDrNOnw2PXPxPB6LrqlE+NXRGRMdljXDqa1AJUAbWf759Yv8NJ/FYzPR62/n8x//AA7r9rKa6qXsoBj+9TqN6FcRimoY56UlZXamu0F2lSRJJBIJQqEQ8USCss5GXm3G1Omiy6yn32WkzaglGo2SWPtTWYtiUZHFLy0hlEp06vUE+3t5w+7CbbMQjpUQKC4PRq9d81awmgRV22E/vv4Dnvn1MwRzQX4c6+V39j/FsY5j/OgzP1pTZVzvc149uGxdJkHNDMerVAKjPgu5sojd6OHatWtYLJYVfjCV5aH860sJAhmJTr2GPpep6SrkRhj2mvnNjSInpmIYdWpyyxL8fR1WvNb11W2tVjyKZZG5eJ5AooAoy7gtOh51eZmK5piPNzdMvRqCIOD3+/F4PFy4cIFUKkWhUNhVMvy7oTL0bsMeGdoi1muT3Q4yVKlAICAQCKgQRXC7K1itMdLpEOfPKxJ4t9u9bQn8nSBD+XKe+fQ8w85hzFozh9oPMWgfpNvWvY2jCrzxNrx6qkIwqMLnk/g3fwBH9jU2TBz0mIjllMrMRnlgSnRGnkSu3LL3TiNUKhUWFpd4a3KKuWiKYhnsvl4+9dAYgWsXaTNvfX7npoqrgCzL+JbngYwbDKq22xTvoamoQgwNWmWGLB6PEwqFSKVS2NrawORA1nmRKjJeo4b+VjfkeBzV0hJCNAqyjOx0Ivp8FKxtVBYzXJhO4MnJHO5uo6cBcdsK1iNBP7nxPB9/7n8nmA0CcMB6hD899lfMRHMMetYS0Ubt19UkyGbQMOy14ba05mztMOnosBlYShW4/8AhkpEgJ0+eZGh4lJzKyFw8T0WSserVjLu0HOpuPttsI0iSTDRbUmwVojn2ddq4r6utKYLfbGWoPpZDlmW8Vj29LlOtJZvMV7gRzdFuM2y58qfT6RgeHmZycpI33nhjwwiK243dTDhWr203XK/bgT0ytEWs1ya7lQRCFKvRGSoKBRGNJoLBsEg6nUGjcdDZ2bmjEvjbSYay5SynFk7xZvBNKlKFPzn6J5i0Jh7peWRbx317UuS7f28jGDLg98OXPi/z3qMbGyZq1cpA6DuLGebihTVDxJlihelonkimtCPRGcVikfn5ed6+PsdCPIvOaGX/vn3s7+vgcijLQqoMbM0zpV7SL0oyXquOPldjNVsjjHjNnJyKc/rqAi7SpNNpHA4H7T4fbR19zMQLFAsSNqOacZ8JxzokaM3aK5Wbsvh8HrRaJL8f2eejqNUrLbyZJABDXjNqQaDj/2fvzYMkO+w6z897ed93ZmXd99mt7tbRLbewrLEky5IMtozXHo71MLDAAA4imPEGMbGrCMwyTDDATMB48II9jBZiDDMwlg3Gwtj4kK2W+lLr6Oq7us6srLzvO/O9/eNlZmVVZVVlHWq1kL7/dXfVy5fZmfm+7/f7HjbdgYnQdiSo4dr688t/TjgX5v297+ePnvgjwjfCWP2DrCSL+Kw6DOrt10Lt3FvjXltHwuXtMOIxEcmW6vlT3WQEI1+/cANRrebYxBBjPjtircTN7MEvrA3nY0N43W3XY9CqMOvUuEydTTp3m3jkyzUWY3nW0kUEQaiT8q3vx3FfI5k6uycxdbvzMRqNnDhxgrm5Oc6dO8f09DQWy8HWzAfF3UyG4N1DgFrxHhnaJ4xG446TocOEJCnVGXNzNSKRFJIUxe3O0N1tx+Ppw2w2vyVv3jtBhnKVHC8HXuZS6BJVqcqka5KHevbXG9aKW4s1nv+GxM1bIoKg4iNP5HnmKWPHgYkeiw5PXQjtrpeotjqu1CqBIbfxQNUZmUyGlUCAGwurrGVKGCwOjh0fY6bf2wz8G5XhSjBLobA3MlSVZALJojI9qFv6B10GTB2KoWu1GvF4nHA4TDaSISWY6B71Mzk5SThb4WY8T6Gcx6JXM+417aiN2vDezGQQ1tYUQbQkIVssSBMTyG43JYm6jikBKJOpAafSlN7oTjvRu7t+qR22I0Ffu/XXPPWV/4tnxp/hdz/4u/zJk3/SXMsChAkz7DYSzSrZQ/f4TVseX5JlVhIFFvfh3toNWrVIv8PAmdtxluJ5rAYNJ49Noa+kCa9co2BQHKAH+fxXa1KdBBUo1zYKrxP5MpeWUyzG8wx3YJeXZbktGWpNpBYFgR67gf6WWo7N2JBMbavse/XXIGeNCop0Os3s7Cwul4vh4eG3jZDczWuydyveI0P7hMFgoFgsbvn7wyRDsgzLyyXeeCNDKJTCZKoyM2NkZKRngwX+rYIoilSr1bfk2I076nKtzKtrrzLlmuJ072lcBteBjruy1ghMFDEYBJ5+QmZmJIPRoNpzcnSjRPXN1Qw2vYpQprzBcbUfC7csy8TjcVZWVlgMxgjnKhjtbu450ctkt3PLZMVr0RFKl7iYl8mXq1h3Wb+u390XqNRkXCYNg7tY+pu/W6sRi8UIh8Pk83mcTqXGY2rKzKvLaa4lSqyVklSq8t4a6iUJdTSKmMkgZLOgUiF5vch+P5iVPJ2laH1lgtJTNrDpQjniMXFtLctqStEMdYrtSNBXb/4VT33l/yacDyMgkCopUyiP0bPlGBqV2PbxJUkmkpc4O5+kIrMv99ZOKFVqLCUKBBIFcqUqkizzgXF3XRhto9/v5erVq/ueMlRqUpMwV2oSTqOWAZdhg/DaYdTis+hYihfosup3nShudpOlChUWY3miuXLHidQNNJOpw1keGOgsgLLd+bSSDqvVysmTJ1lcXOTs2bNMTk7idB7MkbkfbEca70a8W6ZE75GhfWK7IL/DIEO5XI7r1+NcuZKnXNbQ3W3l6af76Oq6s30xb8VkKF6I83LgZQrVAp+Y/AQOvYPP3PeZA0+ConGJ5/++xsVLAiqVwAc/IPH0oyosJpFAoLPQxc0QBCWE78Jikm6bjiPdVgac+3MvSZJEKBQiEAiwFk8TLciYHF6OjPkZ9Vl3JBXjPjMXL8PNcI77BtsTgc25Rg6ThkGnoW2lRCsaiePhcJhCoYDL5WJgYKA5bWzYqfPlGvPRAn67xMMjzs4a6gsFhGAQ3c2b6BMJGB1FGhlB9npBrVbE3JEcq8l1ErSdjqnLqmMtXeJ2VJnU7bYu22kddvrPT3M5chkBgYf7HuYLT3xhV01a4/EX4gWcRg3RQp6lRIHldI2uIRUzHvOhkqDFeIHVup7GZ9Ux5bdwJZghlC41yYpOp+P48ePMz89z+/Zt1tbW6Orq2vX4DefWSl1z5DZpGXAZt32vjHnNRHNxboSyu+qSGhf5RL7MYqxAPF9GLQoM7SGRugGVKDDqNXN5Nb2tiH83tJvAtNrwr1y5wurqKhMTE297V9h7eHvxHhk6ZOyHQLS2wC8spInFrGi1LkZHexgdVeFyta/OeKtxmGQomo9yJnCG2egsKkHFMe8xJFlCFMQDEaFURuLr367x0isCsizw4EmZH3tctSEwca8Trqoks5woNKsz+hwGTDoVfY69izkrlQqrq6sEg0FimTypihqDo5vJMS/DblNHolSdWqTHoiKRr7KWLtJlXSdEUjPAr0Cpw1yjarVKNBolHA5TKpVwuVwMDQ1hMm1cAbVGBRi1Kk4O2siVa2hU4vbnLMsI8biiBUokQBCQ7HYKXi/SiROAcjFejuQIpErKxd6ikKDdpg7jXhMXFpNKw7m/veZjp0mQzfjP0Gt8fLD/g7j0Lv7oiT/akzB/1G3khdkMX3szxIDHit2gYcQucm+//VDu8hu9Z2tp5XXx2/Qb9DTpYpXlRIFumx5rC3FxOp1kMhnC4TDBYJDp6em22WHlqsRSPN90bnnMuo6mhlq1yLDbxM1wlnCmhHcHN1wsV2Y1XUFXSKFViYx6THTb9Kj3GYTptehwGrXMR3P4LLo9f/52WkcZjUbuu+8+gsEg586dY2RkBJ/P966ZhLTDQXKi3ul4jwwdMjqdDDVyWSIRxQIvy1YKhS7U6lEGBwUGBmS8XhlBePuKBg+LDF2NXuWrN7+KRtRw0n+SU92nMGsPVgSYL8q88F0lMLFcFjh+j8zHnlTh97RvJO9kMrR5xdSozhAEOL+YUjQjPZ2JOfP5PIFAgHA4TKZQJisY0DuHGHLaGXIZ8O1gT24Hj1GkpFdxK5LHadSiUQmEMmXFsVSWsOjVTHhN204nKpVKkwA1KldGRkYwmbbqQKLZMgvxPNliDYNWZLLLjM+iRZLh/KKi3bl/wLZRMF4uK5b4YBChXEbWapEGBpC7uqhks9Ti8Q3lrE0HUQckqAGjVsWAy8h8NE/UUt4wTduOBH3lxv/gya88SyQf4cnhJ/kfH/sf/NYHfqvj1x3W3xfLiQIVSaJYkRh0GRh2m3k5IBz44pEv11iK5wmm1kXFA04jhk2vy5DLSDijpEPf37I2kmUZlUrFzMwMkUiECxcuMDg4SHd3N4IgNNdtq0mF3G92bnWCXrueYKrIzXAWp1GzgdzIskwkW2YxlmcuVMCgU3PUa8Z/CF12oKyrzy0kuBXOMr3HzrTdtDmCINDd3Y3b7eb69esEAgGmp6cxGA6WvP5Oxd0u7H4r8R4ZOmTsRIYkSSIejxOJREin09hsNoxGLwbDOMmkCoNBpq9PpqtL4m5YJx+kjmM1s0pNrtFn7WPQNshDPQ9xv//+A6/DyhWZb/2wyre/K5DLCUxNSnz8SZGB3h1qLnYhdZKsWKEXYusrpuFNd8xDLgNzkTyhdAmfdfs742QySSAQIB6PU6jKlDQWtN4Bus1GBpzGfTe+i6LImNvAm6Ei5xeTaFSiUuWwg3an0TkXDoebxYubK1daEc+VWYgXSBeq6DUik12mDaRNJSjTmTcCGRbjBYZcRkgmFVt8NKrY4u12pNFRZKeTxjizUpNYTpVZnU8i7cPR1oo+h55QWulvcxg1VGrSriRIQOCR/kf4j4/+xz09VlWSCeUlXplPUKnJOEwaHp9wcStSIJQuM+CUD9SKvtlZtZuoWK0SGfWYmQ1uXBu1OtoaBabXr19ncSWIqWuQRIl6nIKegX2+7oKgJFNfXEqyEMsz6jVvqRUxaFQMOTT0OE307mOl1Q6SJJMsVIjnyiTyZbrthj2JqTsVKmu1Wo4ePUosFuPSpUv09PTQ39//rpuStCND75bX4D0ydACoVCqq1eqGTCFRFDeQodYW+Hw+j8PhwO/3098/yfKyisVFAbUaBgeV/rC7iZRvfi6dYCm9xEsrLzGfnGfANsBPzfwUBo2Bh/sfPtC51GoyL56v8Y1vQSopMjQo8cy/gMmR3b8Yt5sMKUWZyipot+qMXrueSLbMrfpFuHVcL8sykUiEQCBANpulKgtU9S4EpwOHXpl+HLTxXRAE8uUa6aJi65/0mTjWu7V5vFwuE4lECIfDSJKEx+NhYmJixzvdRF7Jk0kVqug0IuP1vKR2pM1p0uIzqghfm6dblcNYKYFajdTdrQiiWx6nkW10PZAnka1xvFuzbxLUgCgITPhMnF1I8t0bUbT1CcVmi/yvf+/XSZfSPNL/CF944gv0WHbv+Gqg4cRbSRQIZmX69Oqm/qparTLmFbkWVXKEYO8Xi2ypymJs3VnV6zDQ7zB0VE7qs+oIprTcjubwmrXoNKot2T5lSUB09hMtRHj9tatMDXRxamoI4x5rVTbDZtDQbdOzGC8gIxPNVihUGt1qShjj/HwS9SF8iW12uPU5lOyvvYqp9+racrlcnDp1irm5Oc6ePcvMzMyh2/APQqDfarw3GXoP+0Ija8hmWxcVqlQqisUiq6urRCIRyuXyBlFqqSSwvKxUZ4gi9PVJ9Pau94fdTdjLmmw5vcz3l77PUnoJk8bEBwc+yAnfiQOfgyzDudeq/M03ZRYCEsP9Ij/5s3B8un1gYju0I0N7rc4QBIEJr4mLSyluRXJM+y1Uq1XW1tYIBAKUy2UEjQ7J0oWst6NXKxqjXofhwI3v8VyZa7EKVrK4zXq0KhGTToWznv1SKpWaBEiWZbxeL1NTU7sm7raGRmrVImNe086Tq2wWIRhkci3E1dUUSzYrY8fHwOOhlcVvzjZyGNT0aLVMb6Pz2QuKlRqhTJlotkwiX+H0iJMpn4n/deMveforv8H//Nj/5ETXCb78o19m2DG8LxLUiCNwmjSMOUSObVqNOowauqywFC8gVTu/sLXay1WCQP8enFWtWM/gyTHTbW2SoVaSJQgCU/1eHj3Sw9L8bWbfuMTMzMyBXKg1SUarErgZznI7muNEn41Rz8ZakYNqTio1iZVEoRko6TRq6XcacJq0hNIlZoNpAslix5MnSZL2LIxWqVSMj4+TyWSYnZ3F6XQyMjJyaCThbrbVv0eG3sO+0EihttlszRb4YDBIpVKht7d3w0qiXIa5OYUEAfj9Sn+Y9s4axPaE3ciQLMvIyIiCSKwQI1lK8vjQ4xz3HkejOrgz4/WrNb729xIrKyJmm8T7Hs3x+INaJrr2pjdqfR6JfEVp2y5UMWjFPVVnmHRq+p0GbqwmyUcDlDNxarUaepMFrc1PQTQiiiKDh9Senqyfa6pQpSoJjHkMDPrsZIpVzt6OcubybUyVJIIg4PV6dyzdbUWqUGGhXkaqVQuMeIzbT64kCSEaVbRA6TSIInT5cI1McjUrYDKY6K5/eTZIUCBZbGYbDbgMVPIZotH2PX6dolipsZQoNrvUjvVaiWRKfGPueX78bz9HtBBFQOA7i9/hRNcJ3t///o6P3bCYr9TP22XSMOAyYtWrOb/a/n0x6jETzcZZzOx+s5ApVpmP5Yhm924vbwejVsWA08B8LI8/VyZTrHIrXmFVSLQlWVNTUyQSCV577TW6u7sZGNhbpU2j9qNhwR9yGSlWJfochi3VIvu1jLer5Rh0GjcIxTdMxToUUx+EeFgsFk6dOtW04U9MTOByHSz646Dn9FbjvTXZP3H87M/+LF//+tfxer1cvnwZgN/4jd/gi1/8Ih6Pkivy27/92zz11FN7Oq5KpeJ3f/d3OXPmDL/4i7/I448/zsDAAOl0moEBJbStWl3vD5Mk8Pkk+vtlOrhmve3YjgzJssz1+HVeWnmJe7z38ID/AY56jnLEcwS1ePC31M2FGl/5hsTcnIjFKvDJZ2T+2fs03I7pCCSLdNl0u1rGWyEIAplSjddW0geqzshkMuTDKyxdX+S2JHNqqh/B5CZdU55zT73n66DFoRvJijKxcZU12DQSK8vLRCIRSjmZjNbK5OQkXntnfWWZYpWFWJ5YroJGtQsJKhYRgkHEUAgqFWS9Hml4WLHFazT4gOBKmrlIHptBQyRTapIJdz3gsSHQTWzNJu0Ym0lQI4hRFGr86PP3Ey0GERD54MAH+cITX8Bv9nd87M3kzW3WMuA0NLViO60ztGole+jyrMxaqkiXbesULl2vs4jmFHv5oEshKQclyQADTiNzkRwvXA6hp0i5LDHtMtJrb//+czgczfXPuXPnmJmZwWze+aZiswXfZdIy4DRiM6i5uJTkZjiH06Td8Hz2OhkqlGssxtcddLuJu8e8Js4vJpmL5JjqYNJ4UOIhCAKDg4NbbPjaA9zF3s3Tl7v53N5qvCvI0M/8zM/wmc98hk9/+tMb/v7Xfu3X+OxnP9vxcWRZ5tVXX+X555/nhRdeIB6PMz09zd/8zd/g9XoBSKVSJJNJAKJRgZs3RapV8Hpl+vsl3kkmhc1kSJIlrkav8lLgJaL5KE6DE4tW+UJSiQf/AC0HJb7yjRqzV0SMRoGPfFjiQw+r0euUL9dGk/q1UJb7++0daXCypSrXI0XmwiUG9VVGPEpqdKci5kZIYiAQIJVKoVaruW9qiNm0lmslHd16dduQwP2gHVmxayRi0TWSiQTlUgm/38/Ro0c5ptZwfjHJQrKC2ybv+Hxa60N2TM6WZYjHFUF0PA6CgOx0Ivn9YLezeS854jbyzasRvvr6Gj02/RYysfl13Au2I0E/DHyXCc1jgAq/xc2I7RifOfb/8OHJsY6rOjav8XY6753QbdNj0gjcjCikoEFCknUNViNjZ9htosd+8ElhAzcaYIEAACAASURBVIm8koyeK9eI58sMWUSm/YZdE6Ib659UKsWbb76J1+tlaGhoC1loN6UZcpk2vD7jXjMXlpLMR/OM+9ZJVadkKFuqshRXDAk7Oeg2w6RTrydT2/W73hQd1hTGYDBw7733sra2xvnz5xkaGsLv9x9KEOTdhDtVMn434l3xrB9++GEWFhYOdAxZlnnsscfo6uri4x//OP/23/5bfv3Xf53HHnusSYRgo5vMYJCx2RQStMtN2F2JzWTob2/+LbPRWTxGDx8b/xiTrklE4eAf6nCsxle/KfHqJQG1WuDRfybxkUfVmAwbv2hUouJoeX0lzcI2xZkNtFZnlIo1us0ip4YcHet3arUa4XCYQCBAoVBAp9PRNzBIVWcjmKmi0hSo1iTGvSb8baYCe0GuTlYidbLiM4KmlGTt1hxxrRav14vT6aS/v3+DmHPca+LNVmdXu+PGC0Tq9SGDLkP7i3K5vN4TVioptvi+PkUQ3WaEWZVkVutrE1mWqdQUq/lgm3OAvY3ZtyNBf3n1z/nwVz5HrBDjvz313/jxyR/npf/9JQqVGucXU/Xurp0nBQ1BdyCpkKDGGm+7KcRupaOCINBrEanWJG5Hc/isOhZieRL5ipJaXSdB+83Y2Yx4rlxfm1bQqkRO9NkYdBqYX41Q24Pp02azcerUKebn55siYavVumt5aiusBg09dgOBpJJ7ZG6Zpu10oU8XKizE88rKUBDocxjo61A83sCA08BausiNTRED7XCYxEMQBPx+f9OGHwwGmZqa2rMO626evtzN5/ZW411BhrbD5z//ef7sz/6M+++/n9///d/H4XBs+7OCIPDtb397wwfPaDRuKWttJUMmE0xP39nW98OEhMSV1BUmyhOYtWbu7bqXSdck487xQ9kjpzISX/uHGq+cUwIT33dKCUx02Lb/8nIYNfhtOlaSRTwWHdZNd/OlqtQMrmtUZzg1WlYD6Y6IULlcZnV1lbW1NSqVCmazmbHxCcoaM8uJIpViBbdZyz09Fq6FsiwlCngtun05xRqELZQpUS2X0FWzqEopKgY9Dq+Xgf6+pvhTyaLaOF1xmbR4LVqW4wW8Zm2zd6yVCKrEHepDUql1W7wkIdtsyirM5doyBQJFQLte36AIjB/v9nAznGM1VTqQWLwTEiQg8OjAo5zuPd38PYNGxaDTwO2ocoFtFzGwhQRZlEnQXnJ2toNBLaA3aPjBrRhdVh0Oo5Yxj4luu+FQMnYAotkSC7E86WIVnVpkzGturjd9Fh3zqxEWUxWO7OGYoigyMjKC1+vl1dcvU9RYUds8qERx2/LUzRh2K7lH10JZ7uu3IQjCtuRjcyL14A4rvd3QGjGwm5j6rZjCaDQajhw5Qjweb+qw+vv7O36cu3kyVK1W39MMvdvwS7/0Szz77LMIgsCzzz7Lv/k3/4Y//dM/3fF3Nr8pGgLqVrwVRa13GpVahUuhS5xdPcv1+HUmY5M84H9gT2m9OyFXkHnhO1W+/5JApaIEJj7zpAqfu7MvCGVdVuF6/UtYFIT1QL+kcjH11/U7OrVILpfbdU2Ty+VYXV1tWtJdLhddfj8FwcDteIFytYDDpGGoLqwFZVXQyZRqMwoVJV9mIZwinU6hq2Tpdxro9vtwuUbajqm3+0Ia85pI5CtcD+eY8JpYThQJZdaJ4BYSVKshhMPKFCiXU2zxPp8yBWoTwAhbwyg3V31M+My8upTidjTPuLfz1wG2J0F6jYpAJsCvfvtXERB4bPAxvvChL+Az+7Yco9ehJ5QpcSOcw27UNAlZgwStJItIdRI06Oy8rHY3xLJlbiRq9DrK9feXwKkhx6GswxqxD4vxPNlSFYNGxYTPjN+qR2whWTqNin67luuh0q4ZWJuRLVZZzMhU3SMkwmHExRs8fN80Xe7OXH+aesL01bUMwVSJbrt+yzRNIXIF0sXKoSRSN+Cz6lhNaXYVU7+VxMPpdHLq1Clu377NuXPnmJ6exmrdPRTybp6+1Gq1jkwY/xTxriVDPt/6l+rP//zP85GPfGTPx2hY61txJ5re3yrIsszZ1bOcXT1LrpJjwDbAh3wf4v6u+w/l+OWKzD+8WOUfvy+Qy4lMT0k886TIQM/e3oYalci418Tl1Qy3o3nUosByvTrDZ9Ex4NrYb7VTAnUikSAQCJBIJBBFEa/XS3d3N5maihuxAsVKbtv8od2mVJtRrNS4uhzlRiBKOp2m12Hg9EgXfu/krl+O2z0HjUqk16Hnh7fizEfzeMxaeux6+je7lXI5RRAdDkOthmwyIY2NIW+yxbeiNXm5XN1Kghqw6tX02PUEkkV8Fm1H4vbtSNBfXP0zfvYfvsQPfuoH9Fh6+J1HfoePj3+8LQlqQBQExr0mLi0rxLTfYVA0L/Wka09dE7RXErTdmiyerxAMF0kXq1QkmOyycE+PlcvBDKvJIgPbrAs7fczNQYZTXRZ8Ft0GEtQKn1nNSlzkViSLy6TZlWhsLk8ddJl4/+g0lVKB2dlZklErY2NjHV2wu6w6VlNF5qI5PBZt8zULpYssxgtNIjden2Zt9xz2A49Zx+xqBq8lx2RXewL3Vk9hVCoVY2NjdHV1ceXKFex2O6Ojozu+drVa7a6dDN3NRO2txruWDAWDQfx+xXny/PPPc+TIXobMCv6pTIYqtQoalQZBEFjNruIz+Xio9yH6rH2cP3/+wGPSWk3m+2drvPBtSKVEhoclnnlKYGJo//Z7pd1d5ltXIwy6jPQ7DAy62l/wtgjBJYloNMrKygq5XA6tVkt/fz9+v59kSWY2UiBfLmLWqzjq3Tl/qN2UqhWyLBNNJHlzfo25tSQ6vZ7xHjf3nBzHqNubI24zGSpVlfTltVSRqiRTlWSO9VrXyYgkIcRiyhQolQJRRHa7FUH0Dnewkrw+CSpXZexGDTP+nUtfh9xGorkyN8K5La9D67nvRIKe+F+fI16MIyBwZvUMP9L7I/zSvb/U0etjM2jwWLScX0xyK5LHoBH3XPexExqFtXORLPmKhM1kYNJnQRsVm2saT0YRNnstul2FwJshSUoK+mI8vyXIsJPP35BTR6QqMR/LM+ZtL1BsCK8T+Urb8lSt2sQDDzzA8vJyx43uSv6WmfOLSl1GOFshtpxBVmkwalVMdynP4bBIUGNithTPkylV0aoFFmN5/Lb2Yuo7tZKyWCycPHmS5eVlXnnlFSYmJnC73W1/VpKku5ZwvEeG3gGQZRlJkqjValSrVSRJolAoUCqVqFarDA4Obvu7P/ETP8H3vvc9otEovb29fO5zn+N73/ser732WtM6+cd//Md7Piez2czKysqGv3sn7VdzlRzng+d5de1VPn3k07iNbj469tFDcYaBYk565VKVr/8DRCIC3d0yP/UJmePT+ydBrdUZVUnGoldj0qmY9pu3fe0bF+NqtUowGGR1dZVyuYzBYGBsbAyv10s8X+X14HoI44zfvCVDpR1ap1TLiSIDTgOyLJNKpQiGwlwPxMmhx2qzcfrENMMec9tW9t3QSihKVWUlGKwTii6bnmO9Vl6vi6nvcdWUnrBQSOkJ0+mQhoaQfT7YIYBunQQVKVcl7EY1013GjuoP1KLAmGfj69CKUk3mRji3hQRdi7/J5Bc/1iRBTww9wecf//yOk6DNKFUllhMFwukSqUIVrUrk/SOeA6/DGq93OFNiMV4gV6qhEWUmfWb63VZEUWCh5T037jXxyoKSknysd+d29wak5goyT7EqYdGpOdq9Mciwk/O0GTRotHpWEgX81nVBMyjrvIX4uvB6p1WVIAj09/fj8XiYnZ1lbW2N8fHxHR1GBq0KtSjwnetR5HSF4y6RiT0+h92wmSwaNComfRbcI06lL28bMfWd1Oc0Xjuv19u04U9OTm6x4d/NhOO9nKF3AFQqFXa7Hb1ej06nY3FxkXvuuQebzcYPfvADyuXyth/Yv/iLv9jydz/3cz934HMymUwUi8UDH+dOI1POcHb1LJdCl6hK1Q2usMMiQq9frfHVF2QCAQG3W+Zf/pTMgyfUHadGb0bjjnChXkxqNaiZ7rJTqUnMBrMsJ4r0O9sLKcvlMktLS+RyOWq1WnOU7XQ6SRaqvBbItPRxKaWke/kCcJu1eMwaZhfDJIMFsukkRZWJksaCtWeEcav+wDUUgiBQqta4FcmxmiwiQ13oWl8JyjIjqiJrry+QUhVxGjXITic1vx8cjraC6AYkWSaYUi745apSSzLVZa5P3zqH26zFY9GyGFPWdUatimKlxly0wLVwmV5NsUmCVrLz6DWjDNuGKVQL+yZBDVIoo+jERjwmbkfzxPOVA5Eh5f1W4lq8RiaYxahVKa+JXkCtVreddOg0KoZdRm5Gcru2u9ckmdVkgaVEgVJVwqrXMOGz4GojAN8NjanniMdEJKtET9zbZyWaU9ZhmVIVvVpkfA/lqQaDgfvuu49AINAMHNw86WiEVS4nChSrEiadirIoc1+/DYPhcHQn1ZpEMFVsvk4WnZoZvxVvy2d01GNiNphpK6Z+O8TKer2ee++9l1AoxPnz5zeU5r5d59QpNpOhdwsRgncQGXrggQc4e/Zs888PP/wwL774IgCPPPIIxWJx1xCxw0a7Ndndjkqtwpde+xKlWokZ9wyne0/jMhw8VbWB6/M1nv+GxO3bIjYb/PMfl/nAKRUq1f4/VJurMzYXkzbWE+76BbiBdDrdbI6PRCKMj4/T09OD2WwmVajweiDTrKKY8JnwbdPHtR0kSSKZTBKJREjEEySKBnJGCz7XKCoEBurhgwedUFRqEsvpCoVMDpNZcRD1N9Y/lQrCShAhGKSvUCBfLjPncGO8dxyNaWftSmPKthgvUKrsnwS1YsyjCLrfXE3jMGpZSxXJ5Su4DCInB+3899nn+ND/+k3SpTSLv7SIVW8l+Jngni4Orau2LaSQ9ZoRj1m75+wnqU6CFuMFssUKwIaU8kqlsuPv9zoMrKVLbdvdQbm4B5LKxb1Sk7AbNEx1WXDusIrtBKIoKoJmt5Ezt+OE0kUMWlVzgtJl3fuqShAEent7cbvdXLlyhWAwyOTkJLKgYjlRYCVZUHKaTFqOdlu5p8fGV18MsJapMHTAQLXNtRw7vU4+q57VVJGL1xcxTPhxOdancm/nSsrn8+F0Orlx4wbBYJDp6WmMRuM7bjL0bsE7hgzJskwoFGoKnzOZDMvLy/T19ZFMJikUCnecDLWz1t+NiBfiXItd430970Oj0vDE8BN0mbpwGnbWAwA72mVbsbQq8fw3asxeVQITf+wpJTBRq9k/CdpcnTHVZd5wR9jAmNdEYrHCtVCW4z0WEokEKysrpNNp1Go1fX2KRX1iYoJsqcqbgTSxliqKvYQwSpJEIpEgHA6TTqex2+243B4M7j6SqxnmYwWcNpmTg/Y9h/htRms44Fq2xqBXxbEBu0KC0mnEhTWESESxxVutyIOD+M02Vlcy3MpITG1j7JKaIl2FBFkNaia8pgNfkBvHFgSBC4spemw6pvwWHE6RL174M37hi0+TKCaa6zAJZaLRKRFq5OCE0qW2JKiBMa+Jc/XsoaM9u7t7GucdqhPDYkWZckz7TDjy6h0nPJvRaHe/sJRU3HX1QMJ2nVuDrs5WkLueuyQhiCKBZIGleIF4voJAhQ/PeOmxGw58d6/X6zlx4gSLK6t85R9fQef0Y7XZ8Fp0DDqNG1ZyFg0sxAv0OM37ss2XKjWWEgVWG4GPJi0DLuOOerXl5WXeePEHvHj+TYInT/EL//yjTeL3dk9hNBoNMzMzzToUv9+PLMt77ku7U3iPDL0DoNPpKJfLzT/39vY23+T9/f0b/u1OYafJ0G6BbXcC0XyUM4EzzEZnUQkqJlwTuAwupt3THR+jIT7e7gslHKvx/AsSFy6BXifw+Aclnvrg1sDEvSBdrDIfyzfrKHab2mjVIkNOPa/MzhO8mcCqkdHpdAwPD9PV1YUoigRCUWaDmWYA4bYpzG0gSRLxeJxwOEwmk8HhcOD3+xmfmGAtXeZG3Xrf6zDgNGmoSqA+wCSsKsmsJArNeguPRYvDp6fLrsEUjyiC6GwWVCokrxe5u7tpizcDfQ4DS/ECPot2A8HZfMG36NWMe007CsQ7xYZpjSzTa9dj0asZchn5kwt/xO/M/g4CAk8OP8nnP/R5PEZPx8cuVGos1UkQbLTft4Neo2LIZWAukieSKe2o/WqsCJcSCjG06NWMeky4zVoqlQpr+/gMtwYSukxakoXK+hSlTefWQVCTZFbTZaLFMmab4mj80JSHuUieTLF2KN9BuVKVpXiBtbwWV98o2WgAkyrL+NA0Wu3GS0i3SUCS6bguo4F8ucZSSy2Hr551tFMg5tzcHC+99BJLS0sYjUY+8qFH0feMc2Utw4zf0ryRe7u/h0GpQ3nwwQe5ffs2y8vLO2pc3068l0D9DsBHP/rRDWz6937v95rJn5/97Gc3NMffKbSz1sM6gXi7GHa2nOVbC9/iWuwaalHNSf9JTnafbFZn7AXbRQUk0+uBidlSjeGpIp/5lBmPY/9f8rlSlfl6bUSjjmK3qU1rSGImkiSlNnLP/RP0dnkRBEHJ9InkuJaQmPRUtg8g3IRardYkQLlcDofDQU9PTzNHZC1d4upiqrlealjvi/VE5Bvh3Ja2892wuTW92fFVKxO4EUB7O49oNiMbjUgjI4ogus17bNBlIJpVnF0PDGgQBQhlFNF5sSJh1qs44rG0DSjcK7Zzh/3X1/8rL968Tpf1N/jpyZ/m5cWX+YMf/QPcxvYOm3ZokKC1dAkBRSje79B3tPrqteuVdVUkj92o2fL/XZNkgul1sbitzXRsrxUireix6Xh9JclXLq0y7DHis+q3TFEOgla9zkqyjNti4HivrXn+VQkW44rLar/Tp0Y9TCRbQiUI9NbTovUz/qYepnHD0SAcOhV4XEaWEsWOHjtTrLIYzxPOlBAFAb9NiYXYzo0nSRJXrlzhzJkzhEIhbDYbTzzxBMePH0er1bIUz3MrkkMtwKRf+fzdDWQIlO/S0dFRisUigUCAYrHI2NjYXUU+Ntv+75bX7k7g7vlf2AWtHWKRSIRarcZzzz3HJz/5SR5++OG35Zy2mww17PV3mgwVq0X0aj06lY5QLsT7et7HSf9JjJr9555sJkO5gszffafKiz8UqFYF7j0h8/gjIsu5GuFiAQ97J1yFSo2FmHLnr+SeGHZNM87lcgQCASKRSDMk8amxca4nIFZT463JSgFk/SLtMQg8OGTfkQTVajVisRjhcJh8Po/T6aSvrw+LxdJ0c7WKuC36rRdQvUbFsNvIzXCOtXSRLuvuVR2bQw1d9Twfay6FcGMBIZlEEw5T6+6mduQI7EL8RUFgwmfi1eUU5xeTCAIUyneGBP3Z5f/Kb/31b5EsJdEIev6P1P+JSdDw7LFnOyZCypSgoIRHonSA9dcDNDtFY1316lKK+VihGQa5OTvJbtxZJ7XXi0FrpYVGFNGqlcqJcd/ePxft0K48dcqtpcu58X046DISShe5HsrwwIBjT3qhZL7CYjxPrJ5DNOBUCmZb114NPcy1a9eaehi9XgldHHSZCGfKOz52Il9mKV7Y8TFaUa1Wef3113n55ZdJJBJ4PB5+7Md+jCNHjmz4nrXqNZQqNS4spdCo7851j0qlYmpqinw+z9mzZxkfH28Whr/d2K1O5Z8y3jFkqFarkc/nOX/+PN/4xjf4wQ9+wODgIJ/85CeBt2ctZTKZKBQKW/7+TmcNLaeX+eHKD0kUE/yrE/8KjUrDLxz/hUPpDWuQoXJF5pvfVwIT83mRmWmJjz+los+vPIYYNzIfzRMx77yWaEUjJyeYKiJAR1ObzSGJPp+Pnp4eDHXBZkHIc+Z2gvmoUp7ZSKJ+Iym2PW61Wm0SoEKhgMvlYmBgALN53aovyzKRjKKx2U7E3Ypum45wpsStSB6nUbt9Oq68PglqhhqaROypGMIbV9dt8QMDFLq6FBLUwQRUlmWKFYlYrsxaqszRHsuO57sXbEeC/n7+b3n8r3+VZCmJiMhTI0/xh4/9ZxYiGm5Fc3SJu09ZNpOgHrte6a3ah/YENoZBuk0asqVas0rEYdIw3WU4FM3O+rnnlfdyvXj05KCDG6EswXSJAadxT/1bm7G5PNVj1jHoMmLRq5mbi2757lOJAuM+M28E0iwnCh0FQbZa8DUqcdeCWY1Gw9GjR4lGo1y8eJGBgQFkWUatUipD3lxNE0gW6HOuP3Y0q6xpGzb/3R6jWCxy8eJFzp07Rzabpbu7m8cff5zx8Y2VQK3HNes1GDQqFuN50vm7LwBXkqSmltHj8XD16tWmDf/dmv58N+AdQ4a+9KUv8Zu/+ZuMjIzwK7/yK/ze7/3ehn9/O8Z5O63J3moyJMsyC6kFzgTOsJhaxKQxcar7FJIsIQrioRAh5XEE/vEliRdfrpFKiYyMKIGJ44MbLyJ9Dj2RbImbkVzbtUQrWqszGpbogR3u/CVJIhKJEAgEmiGJAwMD+P3+5uq0VWxcrEggwz09FhzGrQSgWq0SjUYJh8OUSiVcLhdDQ0OYTKYt76NWJ5tRq9rgLNoOTRHtYpKb4RwzmwpEN1vZ7UYNRwwl7MkAwnwMZBnZ4aA2OgpOp2KLX1zcdW2zXuFQIF+u0WM3YNKqMWpEnKaDXfS3I0HlWg69RkWpViJdTvPUyFN8/vHPN6dAOrHCS6kMgVyVmW2OnS8r05RwvUbkoCSoFb0OPbPBDF99I8Sg09BsqO8kJbuTG6xiVeZKMN1sX++2GzbomSZ8Zs4uJLixBzF3KwplRVC8U3nqdroYt1mH26xlIZbHZ9W1XS/KskwkW95gwW/tPusEbrcbu93OjRs3yOfzFAoFPBYDLpOW2/WYhVR95ZYr1zqy+WezWc6ePcvFixcplUoMDw/zzDPPMDAwsOEmpen823TuogCzwQzXshKrySLd9oOVKR8mWldRDXF6OBzmwoULDAwM0NPTc9esp+6W87gTeMeQoZdffhm3282nP/1pxsbGuHbtGh6PB5fr8Gzhe4VGo2lrtVWpVG95Jcd8ap6/vPKXWLQWHht8jBO+E2hUh+dQkGV4+dUqf/6XHoplNYMD8NP/Gxybav8YoiAwWV9L3AznmG4jnmwIg5cTSmGmz6pj0LXVDdT8+U0hiUajsTlSbnyZNMpDl+o6G49Fy0f9Pi7Xs4caZEiWZYLBIOFwmHK5jNvtZmRkBNM2fVzxXJmFeGHf+UNGrYoBV31aVhfxbnZx2TRwRMxgX4siFAqg0SB1dys9YZusyTtVijQvaC2Tqxm/GbdZSyxX2TYIsRNsR4Keu/xF/t1f/zscegdv/NwbfGrqUzw98jRm7UZHp82gocui5UqsRrpY3VBZ0iiUjWTLio27ToL240LajAY5DiSLiAKIguI+a/e+3AsKhQIajYYqahbiea7Fa6gyZXodBvrbtK8btCoGXUZuR3PEsuWOc4TyZaW/bi29Pmnarjx1J9I27jVzdj7BjXCWe3paLecyoYwSYthp7cdOUKvVTE9PE41GuXTpEr29vQx7/HzzapjnX1/DZ9Vh6iCROpFI8Morr/Daa69Rq9WYmpri9OnTzbYAqOu96qvORlp3u+NOd1m4pBW4HsqgVgl7cgW+lWinJ/V6vVts+Nt9N72HtwbvGDL03HPPMTc3x5e//GV+5Vd+BbvdzokTJ/jpn/5ppqen35Y12XaP91asyWRZ5kb8BsVakWPeYwzZhvjRsR9lyjWFWjy8/0ZZhteuVPna38PqqoBaLfBTnyjy6I/Ydw1MNOvU9DsNLMQKeC3rDeKNdVBDE+M2axnaIX+nUCg084EaIYljY2MbqgE2r5hcJk1zbQAw5DJwPZjm9XwSORcnn89TKpUYGxtrCu/bIZmvsBDPk8xX0Wn2lz/UQJ9DT7heIFqq1lhJlihWJBxSkZlSEkckqdjiLRakiQlktxu22de3I0ONiojG+q7d5KpdEGIn2I4E/bc3/4Tf/uvfJlVKIQoij/Q/0vydzUSogSGngZtLAtdDWe7vt7VMgsqI4uGToA0N9WYtx3qsLMYLRHOVZnpxpxAEgUKh0MyqKkoigVQZnc2Dz+vGZxR537Bzx3Pvdxia+p1TRueOE5dsscpCXVCsEgR67Ab6d3DOwc5kSK9RyNhcNEc0W8Jh1CqaqXritblNiOFBoFarue+BBzjz2nVuv7mCyuajLKu4v9/OqHfr5LWBUCjEmTNnmJ2dRRRFjh07xoMPPrjhZrdVNF6pKUGVY3U3ZLvjiqLAkE3EYNBwJZhBLQqHEh9xUGzXTdYglMlkkjfeeAOv18vQ0NAd0/AcxDDwTwHvGDIEMDIywrPPPsuzzz5LIpHgv/yX/8La2hrT051bxe8EDpMMSbLE1ehVzgTOEMlH6DZ3c4/nHgRB4Kjn6KE8RgPX5qo8/wLMzwvY7DL//BMSPc4kHo+r4+TofqeBSFapJLDobcRzSgBeuSptaX3fjEZIYiwWA2iWprbmR22ermzuzSqXy0QiESKhENF4lbTJyqNHxrhx7cqOdtZUocJCvFC38wuMeo31cfv+LxAC4DRq+MfrUeYjWe7RFpkppbBXi+u2eL8fOsjH2kyGNq/vtstggvUgxOuhLMd7rTte9HZqkf+Jr/0Efzf3d4iCyEdGP8LnH/98R1lVapVAn1VFLFfmOzdiqAQBlSh07OzrBOV6JUcgVWo21A84Dc110qjHyPl69tA9HayrGo6fZDLJ9evX0dtcCJ5hivkKXXYRcjF0yQV8RnYlcWJdv3NpOcVCLM+IZ+sd/+by1N0Exa3Y7Uawz2FgJVngBzdjuExaqvX6jv0mXm+HclUimJU4u5BCtvoYN9vJhxbJa+1EcxZGZNOW75GlpSVeeuklbt26hVar5dSpUzz44INYLOsTvKZeKqUQXJdJy4Bz94wmWZYRBYF7eqxcWk7xZiDN8T5bRyvStxK7mWvsdjunTp1ifn6es2fPMjU12UBMRwAAIABJREFUhd1uf9vP65863lFkKJlM8uKLL3Lz5k18Ph+//Mu/jNPpvCsyfVpxWM3188l5vjn/TeKFeLM3bMo9dejPdXGlxldekLh6TcRkkvnoRyQe/xElMPH27b2t/ERBYMJr4rs3YvzNGyE8Zh3WHZKNZVkmFouxsrJCJpNBrVbT09NDd3f3BjFhuzqOSZ9yzFKpxMrKCuFwWGkp93iYmppiUqXlwmKSlcz259+wD8dylaadfy96iXZorK0WYgWK6RwjmRDGWJQRnx6Lw4rUP6zY4vdhqY3WRa7ZYg2DtrP1nVYtMuI2cj2UI5gu0W3bqp/Y1iL/xv+LO+7mU1Of4rMnP4sgCB2ToAZypRrxokSsXCZfrvHImJNRr+lQSFCjl2y1paG+XfWJMiFRsodC6RI+69aVSalUIhwOEw6HEUURp9OJoDeDe4i1fBWNSpk49rvMmAw9xGIxLl68SCAQ2FC30A4Ooxa/Vc9SXNHvNEhaIl9mMVYgni+3LU/tBDt9/zVIYrqgOMQ0KpEfGXUdmnAcNuqaQnmJ8XqgpEWvRpro5uLsDS5evoZVPc5MvwdZlrl16xYvvfQSy8vLGI1GHnnkEe6///6mEQK2Zg8pxbudxxM0XheNSmTQZeRbV8MUKzUeGnVtm190J9BJEKQoioyMjNDV1cXs7Cxms3nXjriD4t3cSwbvIDKUSCT41//6X7OwsIBWq+Xy5ctcvHiRT3ziEzz00ENvKyHa/NgHmQxVpSqVWgWDxoBWpUWr0vLjEz/OuHP80J/fWlTiqy/UuPS6gFYr8KEPSjy5KTBxr8SuMbEoVCQypSrHeqzNFN5W1Go1QqFQM29Dr9czMjKCz+fb8oFsV8dhVktEImvMX4sA4PF4mJmZ2eLGUPQaeSqljSPgXKnKQqxAJLv3EMZdn380RyUcxZ6MMiUXsJjUXNa4uOrxceLowL6IVrJYYyVVRJ/NdEyCWuG36QllysxF8rhM2qY4eScS9O//6t+TLqfpMffwqalPcZ//Pr78Y1/u+Jyz9dd4OZIlXZI4NWVnLV2kLMkHJkKbKzk2VJRsg167nnCmzFw0h9OkiPxLpRKRSIRwOIwgCHi9Xo4ePUqmAjeCSeZSMuNuqUmSpVq1+R5xuVyYTCYSiQShUKjt+68VIx4T0VyZ66EsAw4Di4lCR+Wpu6Hdd9/mJOdehxGPRUemWD1QIGgrsqUqS/F8UzzeZdUhOVUbhOKiKPLA0UmqulVefPUqN18/S3BlmWg0is1m48Mf/jDHjx/fkCG31+yh7SBJEtkKvLqUJFmo4LXoKFclXl9JcW+ffc/HOyzsJRXbZDLxwAMPNDviGsXSbwXemwy9Q/D8888jyzLf/e53ee6550gmk5w4cYLnnnuOhx566G0LOdTr9ZRKJfT69bvt/ZChSq3CpdAlzq6eZdQxypMjT9Jj6eFfHv2Xh06C4kmJv/lWjbPnBQRB4P2nZX70cRU2y9YPaKdkKJmvcLulOuMDY06WE4pOY6gmNS9+pVKpGZJYrVaxWCwMDQ3hcrm2PM94rsx8rECmWMWoVTHsUCPnkyxen0MUxW0JUCv6HHrC2RJvZiTK1RpVCRZiecKZ+jrCZaB3B2tvp4hmyyyGklRXgtiSEbp1InaHCblrBLmriz5J5NJymvlYntE2a5LtEMspE6bFaBmNCo53mfBZdPt6T4x7TU2H26jH2JYE/fnsn/K5v/oc6XIaURD56NhH+YPH/mBPj6NczJTwTLVKoM+ho0elYbLLjEWv5mY4t+10Zje0S6NuV8nRDoIgMO41cXY+xiuz85hraWXi4PUyMzODVqsIzt9YUyZvgiTRb1Xx4JC9uS6ValuPeeTIESKRCBcuXNgSQtgKjUrAbtBwZi7GfDRHt02/p/LU7dBKhjZPU7qsSkaTSaemXJV4ZT7OjVCWe/v3v3ZJ1adM0Wy5GcbYEI/Hb299HpVKBTm+wtWLP+RMeI0um55nPvYxTp06teE7O54r1+tE9r4q3Px6hDMlboXSzKfBWKkx5jHht+kpViVeXUry2kqK+/rth6JT2w/28vltdMS12vCnpqYO3Yb/Hhl6h0CrXb8LrtVq3L59m76+vrc9IKphr28lQ6Io7lro2ECpWmqSoFwlx4BtgCn3VPPfD5MIZXISf/ePNX74shKYeN8JmWc+rMLt3P413I0Mba7OGPeZlFJIQcCkU3NpOcVcJE+vGVZXVwmHw4ByV92a6NyKVKHC7WieVKGKIFUwSznkVJx4UoPH4+Ho0aNotZ1pHYS6y+3imwL/cCWCxaBBEA5PrxLPlVmeX6Oysoolk6DLosM+5IXubiSXq9kWbwO67XpWEkU8Zu2uuoVWN5tOIzLi0mHX0VGI43YwalX4bTrOLaaYj+awGTT4rDr67IrtWhRFXrj9AtlKlo+OfZT//Ph/xq7v/KKZLlZZrK8c1SolPLPHrqdUyLOUVV6HbpuOUKbErcj6dKYTbM4g2ksaNaxrycLhMPlUlaTWysT0OF67ad2Nt5YiV1LWjxM+ExZ1jYVqdINubDuRqcfjwW63c+3aNdbW1prkqvE7is6t7tzSqlCLIvf22dEfwnRClmVyZYnAaroZT9BumqJVi4x4TFwPZVlLFelqsy7dCfFcmcV4nkS+gloUGHQZ6bWvk5XNr02xWOTChQucO3eOXC7HcJcP5498kInhAeTYInNzcwwPD5Mo1JRMoGIVrUpkxG2iex83KJtdZmokhhxq3jfkbLrMzCqRY702XltO8dpKihN9tkNZ194J6HQ6jh8/3iTe/f399Pb2Hto14r012TsENputGXDo9/v5wz/8Q4xGI48++ijQednjYcNoNJLP5ze4HvZirf/+8ve5ELzAsH2Y072n6bf2H/o5Fksy//CiEphYKIgcmVECE3u7dn/NtiNDrWum7bQ2Vr0aq1Dk5QtX8OoqOEx6urq6NoQktqJBrILxDIVsGkM1g8+ixef14hk7vq9yw1JVYjVVIlORuR3L8b4hF8d6rQe+I0ykC6zeWKS8vIqhUqTfYcRxYgy6u5G3casNu43EckpNxn39trbibOWCUyBVJ0ENchlaK3ZMsNuhsVYKJosUKzXUosAHRs08d+WP+Q9/9R/41NSn+P1Hf58vPfklREHcMwlaiOWJ10nQkNtIt023Pg1s+dnGdObiUopbkTxTXTuLxzdkELG3NOpKpdIkQLVaraklO6rVcX4xyUKyTFVQsZIoki9vFaK3S5cXBGFDzk0rGiGE4XCY8+fPMzQ8jGywsxRft4DP+C2cHLBzYSnF7ViOaf/es4dakSpUuBEro61ksJhN9O8yTem26QmmlDwwl1m7KxHYnEOkU4vNKcvmlV5jQpXJZDh79iyvvvoqpVKJkZERHnroIfr7+1lJFLgZyeHrmyKZCPP/vfAy3u4+3A4rEz4zfqt+z9b+di6zUY8Jo1jlZkGz5Xg2g4ajPVbeCKR5I5DmeK/tQJO5Ow2Px4PD4eDmzZucP3+e6enpQykpf28y9A7B6dOnsdlsVCoVTp48ySc/+Umefvppjh8//rb+JzbIUCt2WpPlK3nOBc8x5hijx9LDqe5THHEfodvSfejnVqvJfOdMjb//DmTSImOjSmDi6EDnpEIURarVavPPnVRnSJJEOBwmEAiQzeUQamUqxi5O3DeOQbd1opMrVZldjjEfjJHPpum163ig34fPO7rvdudyVWpqJmRgxK7C6bdQkeSOnXHtkI4mCF5boBRYQ4NMf7cL5+gUgtfbtiesFWpRIQJvBjIsxgsMtaQCJ/IVFmLKNGzzhA32f4e2WRPUZdMz1WXi37/0RX7tpf9EthrbENK5F2F0qwNvL7ors069bZlsA7lSdV/2+2q12iRAlUoFj8fDxMTEBvItyTI2vZof3IqzECsw5DY2c5n2+jq3+3mX20NG1vGPr9+gLC0zPTrE0W7rhuP3OQwsxvN0Wcv7snvHc2UWYnmShQrZUo37XEbGe5y7kpvGpPT8YoK5SI7Jrva5S5Iks5ZWcogacQSTPovyntzm/zcWi/Hyyy/z3e9+F0mSmJ6e5vTp03R1dTV/xm/Ts5wo8L2bMexGPWNjoxQjS9gMebosE3siQu1cZv1OQzNbLJMpb3uT7DRpmfZbmF1Nc3k1zdFu677yld4uqNVqpqamSKVSvPnmm3g8HoaHhw80FHiPDL1D4HK5uOeee4hGo+RyOX7yJ3+yGdD14IMPvm3nZTabt6RQtyNDmXKGc6vneDX0KlWpil6lp8fSg01nw6Z7a0pmv/eiiv/+tQr9ffAzn1JxdHLvxKLxXBrVGY2Lap9DuUNv/fKtVCoEg0GCwSDlchmTycTkxATHLA5eD2RYSpaZ8K2vDqLJNK/NBVkIJdHrtEz1uTlyagy9dv9Ol0bOzEpSSez1WXQMuAzcyGvp6TIxGy5yO5pnoo2oe1tIEpnlIKEbixQiCdQaka6RHtzjg4ht1nw7wWXS4rVoWY4X8Jq1VGpyM9dIqxYZ85rw27bmGu0UutgOO1nkT/zpCeaSc4joeHr4Gb7w4T/Y0ySolQRpVALDbiPdexSfD7oMRLKlZpls4848W6qyWJ84dmq/b00UbwRqtsuT2lzO6jIrQvIZv2XPYYaNf2/F5gnFzOQYxlqW2OoNZOsYgmVd+DroMhLOlLgeynJqsLPusEauVGOl1JjSOAoaBpydO9DMejW9DgPLiQLdNj3WlpVtTZJZTRZYShQodZhDFAwGefnll7l8+TKhUIinn36aBx98cEMu2OZOtV67Qk77PTYGJk6yvLzMK6+8wuTk5K5BurlSleVEYVeX2W5CZa9FR8pu4NxCAlGAI907x07cjbDZbJw6dYqFhQVeeeUVpqamcDgc+zrWu7mxHt5BZOjGjRucPHlyQ1R5MBjk/e9/P1/96lf3pNA/TLQra91Mhr6/9H3Orp6lJteYcc9wuuf0ntq794vjx6usVQuMj8vM9O+PcEmywGKixHItWRdkKp1IrWuKRkhiKBRCkiQcDgfj4+MbPpS9dj1LiQIGymSTca6uRMnJWhx2Ox+4b5ohj/lAu/v1C5Fyl+i1bLRYC4KAWaei165nOVHEa9FtW87ZRLFIbmGF8M1FspkiglGP+9gE3tF+VG0mXJ1izGtiJVnk65fDeM1adBpx11yjTslQOxLUZ9fxx69/np80/SR6jY+PjX2MueRt/sXEb2HWmrFoO3tvpApKZlQyvx5D4Ld1RoI2n7soCIx7zby+kmYxXsBt1rJUF113QoJaO+WKxeKOieLVFi1JuSrz/7P3pkGOJOZ55oMEEvdVOOs+us6u6ul7rhaHFDmS7CFpUbQoUaIoSpbCwZCDEbb/SLQVsbJixeWQS4qULWpsy7JDsatQiMvVsZQ2VpJJDam5+u7p7uq7q+suHIX7BhKZ+yORKBQKQKGqa6Z7yH7/TU91dgIFZL75fe/hshiYCdqwmQycW0xyN5rj2D6qMjS0Kk/dysFxUx4IMD8/TygU4vDhw4iiSv6mg3aurKZYiucZ87UX1Wuao6W4WmfRPKWJLe99cjjWQMZOj7gb0uHV1+C2iMx0yCFSFIWlpSXeeOMN7t+/j8lk4plnnsFisfCBD3yg/nPF2vRGc7WpdShq1tjNUIaFzRwGQcfw8DB+v58bN24QCoWYnp7ecWNOF9RA1M1sueuG+3b3hMaiWKMosJIoIOqFtpOyg0K76pSHgSAIdeH+/Pw8NpuNycnJPU/Vn2iG3iOYmpoiGo1udVFVKvzN3/wNt2/fBh7dL61VP1mzzkYURI74j/Bc/3N7WkM8LLw9Aj/xnJn5WjXFXuoYpFrNxY31PIlMhRP9aohd4xN0KpWqhyRq7q6BgYFtNyRFUchkMkiJMAv3NrmmGBkOuPEMjnO0x8qI5+GSh5vrOHx2I6Ney44cEe13Muq11u3Np0fcO2/kigLxOMXlNSKLG6SKElWPB/9zh+kd6UX/kGJLbaqSL1eJ58uMeS2cGnbvqlnYjQx1IkFf+b++ok4mN87xpx/7U37rhd8C1NWcRkYO+XZL5VZJkNGw9yymdt/NHquI3azn+/diBB0mHGZDXXTdigRVq1VisRjhcJhisVjvlGunl6hUVb3Yaody1kM+a1t3226ToWJFYj2rUF6I7yhPbYTRaOT48eOEQiHOnTtXr5Tx2IwEHCaW4gWCTvOO6ZRcn2SpmiN1SqPWTjSe135iRQx6gQm/nSsrSV67H0OWUcmKzchwh0BDRVG4e/cur7/+Oqurq9hsNj74wQ9y+vRpAObn5wF1wrcSLxBK19azTjNDnu3fy5mgA6mqcCeSRdTrCDotnDx5kvX19W1t7s3C7W5dZs3EY2uyViBd3CqjfWHCy3K8UM9hahWKeVB4Jx/arVYrp0+fZn19nXPnzjExMUEwGOz670uStG9Zwg8C3jNkCKj/omRZRhRFjhw5wq//+q/zG7/xG4/snFo11zdPhs4Mnnm3T6sOv8OEvyaA9NrEXcPGmqszeqwifQZDXeiqKAqbm5usra2RyWQQRZGhoSH6+/u3uWfS6TSRSIREIoHZaqNictM7PMaDWBGr3cbzhzxdO4E6naf2tO+p1XG0S7fWyIReUDUTl1fSPNjMMxmoXfgqFXShEKXlVcKRNHFJhxTsxT85Qn/Q9dD5Q82rpVPDLmI5K+miRLkqYxE6vxftyFDj+lJB7d8a8Vh45fJ/rJMgvU7PT0//NL/34naLfI9VpM9lYiVRIOAw7vhsJPKqhVpd4R1MIGXz+5HKS1QkGVmBZ0fdO0hQtVolHo8TDofrRoV2pboaGnvJpKpa1TLcppx1P+62QqXKg0SWtXiOaEFhxm7cUZ7aDJ1OR19fHx6Ph/n5ecLhMDMzM0z6baqoPpzl+JA6oZOqMusp9TtYbqid8NlbW6n3Q4by5SqJfJn1VJFsSeJ9414mA/a2gYbVapX5+XneeOMNotEobrebl156iWPHjtWvy4VCgVxF4epaapvtfqindZ2IIOg40u/kymqKGxsZ9IIOn93EwMAAXq+X1y/NE726hCc4gM1i3HMWkxa3oumflhNbPWzNkQbjfhuVqlwjRDqGPe0fDh4G77QuR6fTMTAwgN/v59atW3UbfqPbudO5dfNzP6h4z5AhWZb5zne+Q6VSoVgsks1muXjxIu9///sf6XlZrdauNEOPElMBG+cLFW6Fs5wcau1iUhT1gqHVXPTYREY9FgSpyOpqkmq1SigUYm1trZ6r1BiSqCgKiUSCaDRKIpHA6XTi8fnRu/tZS5WoygpjXiMjHhub2TKFirwvMtSq8b2xjqMdGqd1LovIgNvMWrJIkCLuxCaljTChZIGo3kplYIzAWD+DHutD224bnVbNrruAw8S5xSS3wzmOD+6+pmkkQ+1IkPae/u753yVfyddJkNPc+viaw+1WOMupIRc6nW6bo81oUFd4fc6DIUHNBGsqaONwn5074RyhdImhHguyLNcJUC6Xw+PxMDIygt1u73jTV9dV23vJhj2WHZOaRjS623bTkuXLVRYiOWKFKqIoEnCYMHj1zPV3v2IzmUycOHGiPv2YmZlh3GfjTiTLSrxARZbr6zaPVT3/3QTWeyFDWqBhtGbBPzHkIpwuIRqElkSoUqlw+fJl3nrrLVKpFIFAgJ/6qZ9ibm5u24Qjli1zez3F3USVSW9lh+2+HQRhqy7j+nqGowO6epYUniGcuTTF0D2eOjJJn2dvpdyVqkw4VyX6IN6gf9o5WdMwHbQjyQr3ojlEvUDfHqMHusG7JVI2Go0cPXqUaDTKxYsXGRoaYmhoqOPn5ImA+j0CWZZ5+eWXcTqdGI1G7HY7R48e5XOf+xzw6NZkdruddDq97c8Oqo7joCDqVaFlq3WZZp19ENtZcwEQj2dYXl4mmUwiSRJOp5Px8fF6DUoymSQajZJMJnG5XGq54KFxQpky9+IFKtXittVVVVa4sJxsv6ZqA0VRW7YfxGqN7x0qPlph22SlWuVQJUX5zl2Ws1mSNhMRq5vS+CH6+jwHkj/UWPNhaCMyNhkExv1W7oRzbKSKHS++2ue7FQkacpt45cp/5Ovf+jp/+c//klN9p/jLf/6XTPZMtiVBGsRa+vGNjSzX1zNIsrKNBD1sP5uGdEnm8kqqfuzmKVMkXeLqgzCx1RzlgkqAhoaGcDgcu363W1VyjHjaFwE3Y7u7zVRfEWkkI1tztkUzZRS5yqDHxnjQiUGncGl9758T7end6/WqxaSiiYTk5tuhDJMBO0GniVGPdZuwuRO6IUONGhlVk7W1anqwmeNBLE88t+VsKxQK9YygfD7P4OAgL730EhMTE9uiBSIZdYWVLUnIFYkhl8iZQ549JWkb9AJz/Q7+/kaUP7uwyrDHStBp4uiAC5/dT6UyzM2bNwnXNFe7hQ1qFSTXllLkixKHfXoO9zp2JZU6nY7ZXnV1dyukFrv6D7jp/t3Wtmo2/Hv37nHu3Dnm5ubarpWfaIbeIzAYDHznO9+p/7csyxSLRb71rW9x/PhxPB4Pfr//XT8vm81GKBTa9meCIDx2DcB+h4lA07qsVc2F1jSfzWZZW1tjdXWVcDjMyMhIvTQ1kUhw+/ZtUqkUbrebQCDA5OQk6HRspErcWk63LWZtu6Zqg+ZOMrtZz1TAgXePdmRBECCXQxeJIESjSMUyOuC80Y+tt4+To54d7rj9oDl9eTe7eZ/TRCRT4v5mHk9DTUYzylWFxUSZNTmxjQR948rX+dq5r5GtZNHr9FwMXeRU3ylO9Z3q+pz1go7NXJn5jQxzfY62jrb9YDNb5vZ6lnvxCpNueduxZVkmFosTiURIJ1JkJBuFXh/PHZnt6iLcmEbdbSVHO4x4LEQyqrvt9Ig6PU0XJe7FK4T1qbqoO2jTY7OYMIr6h8p9AlAEEVv/JNcfrLOysYDZHcBnN3J0YG9mh05kaDNbqk35tjQyzZqsEY+VUFoVU896DZw7p2YElctlJicnOXPmDMPDW/lnzVomNZ/JgQUjK8uJPRGhUqXKarLIarKASRSwmQzodHC411Ens0ajkWPHjhGJRLhw4QJjY2P09fXteM2N6duyouA0CUy4rRwZ6t4pKQg6nhpwcvZBnDcX4rxvwnugTfePYvpiMBiYmZkhlUpx/fp1vF4v4+PjO0hZ87n9MBEheA+RIYC3336bv/qrvyKZTNZ/cd/4xjf41V/9VT7ykY/wkY985F0/p1ZusscVkwEbyUKFi8sp7CY9mVrZpxY0B2pWyPr6OslkEr1eXydAPp+PtbU10uk0PT09BINBpqen6xOXcKakFpPWpjazvfa2IszGNZXfbmz5c5rYcTFeaEnWuoYso4vFsN65g0EQkGx2Vg0OVl29VAedDFRldKhPgA9DhLQerm5JkAZdzVWl1WQc6d/uZtEmQffWcqRyEieH1HWYrJSY/K+jdU3QJ6Y/wddf/Pquk6BGaGLSTFEi4DCqdRFWAwPuh18PNBbKKtWtWgsUhWQiQSQSIZVK0dPTQ19fHzMzM6wmi9yP5olmywQ6PJE3p1HvpZKjHfSCjslaBtT19QwKsLaZJVtWeKpB1N1IgPbbh6jGB+TradFHDg3woSODfO/Cda7ezjPSM4vH3v3voPk8tDqKxZjqPjMbBCYD9rZ6L0HQ4RdLfPP//S7/9/I93BY9c3NznDlzZpsAt1KVWdd0elUZp9nAhH8rPymVKnX9fjTXhvgdJkaGrOgFHZeWk2p/2LB72yo9EAjQ09PD7du3CYVCzM7OYjabd6z+ep0mhnosxCPFPT+UZotSXVsUyZS4WjuPbqd0u+FRuZ5BteE/88wzLC0t1WMMGuMPnqzJ3kP4zGc+wyc+8QmOHz+OTqfD6XTy53/+57z//e/n8OHDj6Ss9b1EhkS9wFTAzvfvxYjndDw75qbXaQJFIRwOs7q6SqFQwGg0MjQ0hMlkIhaLUSwWSSQS9Pf3MzMz0zQmV0lQvlzFbtbzVJdTG02rcjuS5XSTm6rxRmo16pnts+PfayBeqYRuYwNdOIyuXEYulrkXGCblG0QRRXpdZkY8FgQdnF9KcTucbZsK3QmNuTiNFRR7IVZWo54xn5X7UfUGGXCYdqzDAnaRAdHAlfjfMB38JGBl2jPNmHuMr33oa/smQWZRrZ4IOk2E0qWadqe4r9qPZgKr1VrY9Sbu3tng7p07JJNJ3G73NjKtYdBtrouZe6w7xcxaEGM0q071BmpBjN2kUXeLRL7M9Y0Ms702Rj1mFFGNaDgINFrD9TodQzVxsal2w//o+5/mr8/f4S9fPc/Hf+RI13kx2nVPlhXWG+oobEY9s72qRqZdjtHGxgZvvPEGN2/eJFGQ8I1M85M//qPMjfXVf0ZbO60mC1Q7aJm6udE3l7D2Ok0Me6zbpnnHB11cXElyeWVnf5hmnNnc3OTVNy8gOIPobS4MeoFhj5VBt7n+fm7uoa9y2xpRp2PEa+XpUTc3NrJcqRGig2i6f9SEQxAExsbGCAaD3Lhxg/X1daanpxFF8ZGf26PGe4oM+f1+/s2/+Tc4HFtPz9/+9rf52Mc+1rLe4d3Ae4kMAfjsRqaDdiLpEha9wsryMqFQiHK5jMViwev1Uq1WiUQieDweBgYGKBaL6hqsAZ1WbN1AW5ddWd0qL23s4zKLe29mR1EgkUAIhdDF46AolF1ulnv6Oa/0YLHZmPLatwmNQRWYX1/PsBwvdH3jy5UkFms6koMofNWIwM1Qlmi2TCxbrq/DBt0mvvrmF/nG29+gUC0g6AR+ZuZn+O6nvrunf6ORZDaSII0A9jlNhNMl7kXzeKzGriMPtFXmckIlQVajnumgDbNcIBpeZikeV2MNRkeZnJxse8PU6XRMB+xcWtkuZs4UJZZrJEgQVBIx6DYfSMlm3W6dKJAtVvHajQg6HW6LkUGXjvVc59DFbj6bjQWkrTq9NIgGPe87cogLDxy8duU2U/09TExM7HqDkqq1tPVUue4+m/Db2iZqK4qLSWu6AAAgAElEQVTC4uIib7zxBgsLC5hMJs6cOcPp00+zmJYJ58r40kWcZpHlRIGNVBG5IdywnSC90/uxlxJWu9nAsQEXb6+meHs1xfGG/rD6Zy2rRx+cIBpax5mN88LJOVyO7St3zXXcDppecrnJat/4MHN80MVFbVJ1AE33j3Iy1Air1cqpU6fY2Njg3LlzjI+PI0nSEzL0XsEXvvCFujB5c3OT+/fv82u/9muPNDWzExl6FJOqbjBo1zF/a5E/vx5jzGPEoNdjMBiQZRmTyUQgEKg7dxRF2TZqTuQrPGhop2/sctor3FaRfrdZLY5MF5Gqaplk8016V1Qq6gRoYwNdsQiiSLmvnyWTi9Wi+hq89jxTfVaGWriFfHY1FXq5Fv7X6QkwX65ua70/qMLXclXBIAhcX0/ishh4esTNoNvENy5/ja+d/xq5Sg5BJ/DJmU/y0qGXuj5uq2nNTK9NnRa0SLmeDtZWdtEcc32dA+jU9agqoC2UZaxGgUGbgpyLsHxLdRQGAgH6+/tZXFzcNpJvB4fZUA/GtIgCqYJUF6E/LOFsde7LtcwnbYq1fUK2MyCvee3S6XO/mVWnpuliBWNNqL6bNdzvMDHgcRA3jYNe7fiam5vD5dqpI9ImNtc3JYo9Bbx2U0f3maIo3Llzh9dee4319XXsdjsf+tCHOHXqVN1SPWdXeGshzv83H8ZtEXFZjS2nN63QfKNv7jXr9j0A9dpwpN/J1bUU19bUuoxItlTXKVlEPbP9LvpmgqRSSeavXWVgYIDh4eH676Qd8WhVNdJstddgMeo5Puji0srBNN0/TtMXnU5Hf38/Pp+P27dvk06nkSSpHpHyON673km8p8jQH/zBH/DJT36SD3/4w3zxi1/ktdde48yZM/zmb/4mPt87n+jcCq26yWDLUfa4fPABkslkvTm+splkM6fgsJk4PTVIIBBomd2i/Xdj+vC+CEsLpIuSGs6WKBJO63hxxsdQj6X7Y2YyCBsb6KJRkGUUp5PS4BDLejur6TJyXiHoVJ1F0Y0sxg7XsMmAjUS+wu1wjpNDO2P5G0mQcIAkqHkddrhXtff67EaihTV+543fQa/T8/GJj/OvD/1rTh452dVx6zeibSRo90mb1ahnxGvlwWaeTUe55bRPriUiLydUIiFUy1ilDEoiSdnhIBAIMDExUb8R7XVy6raIvLWY5E4kx+Fe247i14eBXIuQWI6r+jabSb+D0GsTssV4mn6xveaklR5FWx0vxQtkSxIWUb/nAtKpoJ2zDxKULF6OHQty/fp1PB5PXfRarAnHN1JqqrNdhNMjblzW1iSoWq1y/fp13njjDTY3N+np6eHDH/4wR48e3TY5SdZiD/KVKhVZIVeu8tyYnWCXFvPGdd1ee81awWs3Mhmw89q9GNfX0/S7zbjM4o56kJ6eHp599lnu3bvH+fPnmZubw2az7SBDmuZpNalWjTh2sdprsJsNB9Z0/7hMhhphNBp56qmnSCQSXL58mcHBwW2C+R8WvKfI0MbGBoODg8Tjce7evcvf/d3f8alPfYr5+Xk+8IEPPDLNUHPOEDw+ZEgLSVxcXFSLU7NZXC4XTx+bZUbsISsJBAZcbach2ZLEQkomt5KuB+8NuB/Obp0tSTzYVG3nol7H+8Z7iGTKSFVl9+NWq+iiUXUKlM2CXo8cCFAOBFmVDKwmilTlEn6HkbGmOo5OYkpRr/aC3djIsposMtSjrl23tabr3jkSpK3D/uOlr/J/Xv1/+MMf+zbPjI3wyj95hY9NfgylpLC6urrrcZtJUHMTezcY6jHXnVVuq1gXgWtEYimWJ5nJU86lsFaz9PXY6O3rxeNpvwLrRsjamG/ks4mYDGrWy16S09uhWtfTqL1kDrOBCb8Nr01s+QAwFbCxEUuzmq5ypOn/Nf8s7Jw2dKPXaQezqGrI7kVz9DnNPPPMMywuLvLq62/h6B0jK6vf1V6n2g/4dkzfkgiVy2UuX77M2bNnSaVSBINBPv7xjzM7O1v/PSmKQqz+vldq3wM7PzLu4epamluRLFaToWNWU/3fk6rbcn0cJgNH+p171/ux3WWm1+uolBRsop7TI+6Wx9Lr9UxPT5NKpbh69Sq9vb1Uq1UEQdh2rKqsBsl2Y7VvhNZ0f3k5ycWlBE+PevaVu/U4TYaaYTAY6qRSs+Hv1hP3g4T3FBnSbOzf/e53ef7553G5XIiiSLFYfKTn1OrJVwtefFTx5pIksbq6yo0bN4hEIvWLxeHDh+uaq0pV5vxSkpuhneLhfLnKg1ieaKZMrqJ07Y7qhEadTbPj6nZYJSE+u7F1gGI+j25jAyESAUlCsVqRx8ep+PysZSVWNgtI1YqaMdOhjqMTAg4TkUyZB5t5rKKeaLasOpZ03bem74a2JOjiV/i9C79HXsqj1xmY37yB33GSX5j7BQCy5WxHQrGV+aJOa/ZDgjQINTJweSXNwmaeCb+VtWSRu+sJwrE4ciHLqM/K1GQfHs/Mrhf33f79RkF3Y8jj7XCW9WSRPqep68ygZmi1Mlolh9uq9pLtdiO0mQwMuESuL1VJ5Cst86wURUFWFFbi+XqxabPDar8YdFvUdV0ki15wkDF6KDoM3L15n4l+D88/NYnV1PraUigUOH/+POfPnyefzzM8PMyHP/xhxsfHt5E3dYK11XfWvCo6UdPLXFlNcXLI1fZ3UF/XrWTI5SVmfQYO9+4eFtkKrVxmJ4fcxHJlFjZz3I3kmOoQjKkVly4sLPBgZZ1wyYASZ8ux1kHz1AllSSaRr5ArV1lNFrAYDftqut9Nx/Sood0nMpkMyWTyCRl6XPHpT3+a3/u93+P69ev80R/9EQBnzpwhEFDboB/FjrPdmuxRpVBnMhmuX7/OnTt3qFQqDA0N8eKLLzI4OLjj/dHcZdfXMyzFC4x5rRQqVZZiqm1ZqE1CTAnhoZ7OtelKOF1qq7MZ99uI19ZUWs4LioIuFlOnQMkk6HQoPh9yby9Vp0ut41jJUKlVLrTqhdLQbdHpYI+Z6+tp7m3mGfdaGOixMPwOkaBhj4W3I+f5wH/5qRoJ0vPzh3+er774VTaSOtaSRQKOLXLYfi2zRYJspn2675rgsqhVHecXopy7kaWQy9JjM3FqLMj44OGHfrpt1jK1EnRPBtTPxJ2ImtC9l9fTXMnhsanN7rsllTdi0GXinkHHnUiWp0fc2x4WKlWZxVie61GJtD2H27L3aUMnCIIOv93Id25FebCZZ9hjYWbQw4fm+lhbXuLq5YvMzc1tM5Ok02nOnt3KCJqamuL555/ftvKoT8jieYq7pDKbRD3Hh9xcWt7SyzQaD1rl+oy7LBwZ2nspdLpQqTkFW7vMHGZDXSiuhpi2zyfLlKrkLX7WKjFKC2tMDZZ5/qlJ7Oa9k5BmcnbIb0MU7KylitwMZZjt2z0UtBHvlcoLh8OB2919PtMPAt5TZOinf/qn+eAHP4jJZKqXgf76r//6Iz0nrYqi1Z+/W2SoVCqxuLjIjRs3iMfjuN1ujh07xvj4+LaLZSto4uH70TzJgkSmoOaoDLjV9YSoF4g92N9NtVhRSVAorU5XhnrMbYMNDYKO6YCNq2sZltaTHJLS6EIhdOUyitGIPDKC0ttL1SCqvU0PElSqu3eSadDVQv7aQQvwC6VLWEQ9CjDksXYsMO0G7SZBt+JXsYinmPXOYhAMfGr2U/zuh34Xq1H998Z8Sq1QViWHrYS8jeJlm0nPXJ/9oScSAKlMlvkHG9xc3WQ1r6fX4+TjLxwl4Hx4i3kzedO0TAGHcceKVE3HtnIrlGM9Veoq/6gkqXUWa6kSsqy1pHeu5GgHQQcjLpFsWa4/LJQlmZVUnnBOIl8oYjPqODnkbpuptVdsOZzypIsSdrMBATg64MRdW4WNj48TCAS4fv06wWCQZDLJt7/9ba5du4aiKMzNzfH888/vyAhaTRRYTRapVGVcFpGpoL1t35kGa4OAWLO6lyW5bo/XNRCXRLS85yDKvZSwTgRUPd1iLI8o6Bhq6g+LZdVjJQvqsQZdRk7NTJFJJbh2+QKzs7MtheitkCpUag5GlZz1udTJsEbOzKKe+5s5DHqhY4VLMx5HzRB0t8b+Qcd7igwBOxwp2i/xcVO+C4LwjpKhYrFIJBLh/v37RCIRDAYDXq+XY8eO0d/fv6enj8mAjWi2zKXlFGcOuTnksz1UdksjAQDod6kkaLdjeso5RsOLZNZCFPw2rEEf8sQEiseDDLXyyixlScFtFRnzdv+kLwgCkiTt+HONsIXTpfq5PjfWU1/b9blM+wrza0eCvnbxS/z+hd+nVC2x9GtLOM1OVj+3UwvUSA4XYwV6rbr6WkYT6B4kCcrn82yEwtxciZKs6LE5XZyYm+FFu4nFWIHcw4Ut1zrliiwnts67mwlWr9NMKF1mYTOPz94+obtYqbKcKNbf771WcrSDy6zH5jBxP5ojXZCIZYvo9Xr6emzMeEU25NahoXuFLKvBpUvxrTLRmaCDHznk4fxSknvRHKeGt/RNDoeDoaEh/uIv/oLLly8zMjLCs88+y3PPPbftib5Uqaq2+2Sxq1b6VrCbDRwdcPH6/RjfurSG32HCaNiZ6xPr8kbfLDI3Gbp3mU0H7VSqCnejKhEJOtQE9+XE1rEm/Tb6XGbm82tYTCL+Q4cIBALMz8/jdrs7xhVs1hxrGqFqR85GvFYkWWEpnscg6Lpuun9cNUOPK0l7N/GeI0PNeNxIkAa1Lflg+8kKhQLRaJRwOEwymaRSqWA2mxkdHWVgYIDe3t59xQyIeoG5PgeSrGAW9TtuONpUZbcvS1mS6xfeVuWhLSFJW7b4QoERQc+VvgHme3s5MaU+2YbSqkW5LGnp1nu7mGuvoV3RKVAPYdRe+1TAxvmlFHciOY4NdB9o2IkE/acL/4mCVMCgM/DJw5/EIHT+XXlsqq15JVHArjcSzVU5t5ikWFFrSY70O1oKgLtFoVAgEomwEY6QrOgpG51YAyMcdVq2rZQKFZmVeIGA3bhnciErCuupEvPRCglzbl/nPRWwcWEpyb1IjrmmhO5WadSNT/APA0VRKEoKVGXuRnKsJIo8PWRnPOjCZTO3NE7sFVVZYT1ZYCVRaFhbbXdLTQZszG9kWEsWGXCbefDgAW+88QYPHjzAbDZz/Phxjhw5wtjYWH3ykStJrCQK9fWOlhHUrpW+03uwWZu4SLJCIl/BbRF5YcK743utKErHa0RVVgmxFgppNe7dZabT6Zjrc3BlVea1ezHsJj0mUY+tVgkSbBCsN16z7HY7zzzzDMvLy5w9e5bDhw/XQy2b9VPmBkLViZw1Nt0b9TsnVa3wuJKOH/ZeMvgBIEOPKw5qTabdsKLRaJ1caa3xPp+PwcFBfD7fQ39wfXYj/S6zmrVjM25bK2ji43Zf4kpVZiVRZDVZbLjw7nJDymTQhUII0ShUqygOB/LUFDq/n6G8xNX1NBeWklQVKFW0Atndha/toL2GkiTXbcmg3jxbETazqO+6RBXaa4Isop7fv/D7fPmtL2PQGfiFuV/gqx/8an0dthvGfBbuRnN8ez6NkKvwVJ+OI/591JLUoE0Uo9Eoik5AMvdQdI1g1ukZbLNSmvBbiefK3I7kONGldqfRvZUtFBEFHU8N7L1TDtRVzajXysKmmt7ssxvJlraCGHWoE72hHnNn4r0HZIoStyIFliJlBkSJE0Mu0kUJh9lQ/1w/jHu11dpqOujA2+L3GnSaWU8W+e7Zy+SX5olGQtjtdl588UVOnTrFxYsXee6557h37x6vvnEOe3CUTFWor3eGeyx7DgtsNak6PeLm2dEeboYy3AplOTqwXUDczj1bqcqqvi9RoNJFKGQnlCWZ1WSBdKFCIl8mVdDxgSkvE377jmM1X7N0Oh0jIyP4/X7m5+exWG3YAkOsp8uUJHlfDkBtUqUK3XX0uztrKx/XydDjel7vJp6QoQOAthJr/DA9DBnK5/NEIhE2NzcRRRG73Y7VaiWRSCDLcj0Z+qAFbhN+K4l8hVtN1RTtnFiSrLCaKLCSKFKVlR129h2Q5S1bfCYDgoAcCKD09kJN26QoCpKsEMuWuZEuc2zQue+baCMqtaLTFSnR9dRKK1G9F21fotp2EnThSyyllvjDD/8h/+rkvyKUC/Hvn//3XZOguo09XkCW1ffEbxY4Pbz333mpVCISiRCJRBAEAbfXj71/gkiuqv7e2jjwNGjN9jdDWdZSRQY7XPAlWan3V2nurUNuO5Gq4aF+h4M9akL3ldU0fruRRL6C/oDTqEHViizGCyRyFQpFiT6HnufH3Ih6gSurKR7ECvT32NEMQfuxjK8kCqyl1O/MbmurarXKtWvX+P4/vs7V+6v4vF4+8dJLnDh+fNsUOFmQyFkCZM1G7szfYXa0l2dmD9VXWN1Cqsr1deZWFs/2SZWswK1whhshtdi3sZ6n8f2or+hqr9VrU2s8etrkIXVCoay+b1q2ks9u5J/397MQy7OeLBFwmHeszNs9wBmMZjwjh7lyb5XQncvMTY5wbLSvJRHdDYoCPVaRt1dTZIoSPzIudGy61+z+jxuekKEnZOhAoDnKGsXK3Vi5G5HL5eoEyGQy4ff7GR0dJRwOs76+jiAIBAIBBgYGsFoPpiupGaq7TK2mWIwV6uLh5tdSrdmVlxMFpKp6YRrtcDOlUNiyxVcqKBYL8qFDKMEg1C7oze30gz3q8cyi0NLW3C201d2t9TyZbIWTA92XetZLVJdT3AlneaphXdaOBH31/Bf5xqVvUJAKmA1mXpFfwSAY+J0P/E5X56tqa1QNhDYRe9+Eh6WoyNU78bptfjeUSiWi0SiRSARQSy6nDs8RzlVZSZWQa+Ws3epqgk4T4UyJhU11cthMIrWn/9UW7q1isUikq1ffHumCRKUqczOUJeYw8uyoe88dcJ0Qq9VFpAoSol7HIZ8Vk6SQzUj1f2MqYOetBbU77diwaU+i02ZX0m5rq3K5zKVLlzh79izpdJre3l5++VM/S9nRj8FuQhD0dbH17XiV4moKk0Hg2FiAnzg6wIP797l65RJzc3NdXS80e/xasoC0SxZPv9uMJMvci+YwCDpmetXrnkY+crWpXTjzcCs6UItTG8XaQYeJIc/WtcZhNnBpJVUvdm28BjWToWb329RIPy8cHmRl4TYbixmctY6ubtBcWjvht1GoVJnfyHBU0LWdYD8O2XOt8GRN9oQMHQi0rKFGMqTX6ymXy23/jqIodQIUi8Uwm834/X6OHz9OIpGoBySKosjw8DD9/f3vSj6Fz76lU/Hb1XWZRoZkRamPu8vSLk4uRYF4XE2ITiRUW7zXi9zbCw0FlK3a6TVBcCxX2XNnmIb6xT2lXZCNjFjEPTk/oFai6rVwP5onnC7htoot12F/dvP/4Df+7DdUTZBg4DNHPsOXf/TLu+qCNKjamiLL8WJdGzUd2FoLGnU2rt+BO5EsxwZar6rK5XKdACmKgt/vZ25uDvQiy/ECC2s5tfS1mzVmC0wFbJyr6aiO1oihtiJdS9YmHXb16X83d1+3aCQpRoOOE0NOSpLcssh1r2gOqDSJWxlHekFHLLY9MsNq1DPkNrOeLRPPlRHZ/YaRLUosNjWqj3isbddW+Xyec+fOceHCBQqFAiMjI3z0ox/l0KFD6HQ6Qqki8+tpXr2ziVkUKEoyVYUd2puZmRkSiQRXrlxhaGioZbQGqBOX5YT6ea4qCn67+tnYraV92GOlUt0SEE8E7KSLEqv5ItVUAr1OV1td7n1FBzu7zJpLbTWYxC23W3N/mEaGdrPt+0+erHd0TU5O1qNaWqF5stdYWlupylxaTnJtPc2JQVfL9/BxncA8ruf1buIJGToAtApebLUmUxSFbDZbJ0BWqxW/31/PAQmFQvWMEIvFUv9ivttj1XG/lXjDugydjrVkgWioRFmScVtF5vraOLnKZdUSHwqhK5VUW/zwsLoKM20fHzeWvbZqp9ds/0tddIZpqFRVTdAWCVIv7uV8hkgku6/3Y9BtZj1V5NW7MXw2EYNeqE+CspU4FtGOzWijIlf4zJHP8JUPfQWzoTs3X1VW2EhvJ0GttFFmUU+fXUcyL7GRLtFf0zBVKpX6CkyWZQKBAIcPH8ZsNqtOuUSRUCpbJ24PIy42i1vEcKW2RlmvWdj9tSlTq99RtxlPGprLUxtJigKcX1KrOpqDQrtFsyOvXV9bK03QsMdMolTgdjjLjKf9+6hVW8RyWofddudVM1KpVD0jqFKpMD09zZkzZxgcHKz/jFSVKVdlMiWJxVieQbeF9014MW0K9LeIHejp6eGZZ57hzp07XLyo5hJphdbNExfts7EXgfy434YkK8yvZ7gdzpKIFnA5Dcz1tS6i3Q3NsQLGFsWprWAx6jk26KrnIZ0ccmES9aSKMpdXUqSKUkdnmNbR5fV6uXnzJqFQiJmZmXpHF6ip+SvxAqG0qjVsNe0S9UKNmKV4ey3dMqjyvSSg/mHDEzJ0AGgVvKjpiBRFIZPJEIlEiMfj2Gy2+gpMr9dTLBZZWloiHA5TrVZxuVxMTEzg8Xge2ZiycV12YSnJUqyKTcrT63FyuNfeem2VSqlToM1NUBQUt1tdhXm90PQ6GtvTd+vMmgzYSBZUYnZyqP3Nr1HELcvqJGi0Qb8kFfe2ttSgCa5T+Qqb2TIOs4Hnxpx8+dzv8MrlV+i19XL1V6/yMzM/w8enPt71JGhLYFyoRQUY2r+3qBdsr1mHYBW5E0pTTm2SjG8iSRKBQICZmZn6ja5QqdbKb7ccVt2uBneDzyZyeUXib65HmPRb6Xdb9jVlaoV6I3liq0+tVQfepF/9bK4kinsKA9WI50qiSKnSvb2/EYJOx0zQztWNLMuJCvodn+3StmqL3W7m0WiUN998k2vXrgFw5MgRzpw5g9/vr/9M8wprxGtl1Ks+sKSLUsdzNxgMzM7OEovFuHTpEu7gIBWTi3iD5qrVxGU3aA6sZL5MolAmX6oSFHU8M+Ii2CEQsd2x1AeCrRLW6aCdXufO4tR2sJsMdUL0D7c3cVpFFlJVHJLclTMMwGQycfz4cUKhEOfPn2d8fByT08NKvMBmroxep2PAbek47TKJ24lZc1Dl40o6HtfzejfxhAwdAJr7yRRFoVAoEI/Hicfj2O12/H4/Y2Nj9Q9cJpNhbW2Nzc1NAPx+P/39/buGJL5b0NZlby0mMMpw2G9hrL8psEyS0EUiqiA6nweDAbmvD6WvD1roFOI5dR2WLkiYRfVpPLhLSaKoV22u8xvZlje/5jVNMwnSsNfpRKPrTEHNFRnymPnK2a/zy//zFYrVHAbBwAeHP1j/O90QoZ0kSGS217JrVIAkSZRKJfSRBe6HS5QDPbwwO10nQLDTZq46iQ7GYaWFUobTJcwGHQ6zAY/NyOHeva0dW0Erfl3qUJ7aCJ/diN9hZCmWx2837krEKlV1gqVVcrgsBqYCtn0Lut1WkT6nmfuhOAHkHbk5ZoPa79XfogVdw9raGq+//jq3b99GFEVOnz7Ns88+u80U0Swabl5h3Y1kWUkUSOQ6k3xFUZCNdgx905y/v4QsbfAjx6Y5FNx74WhzgrXNqOcnDgeIZEq8fTtJoiAR3P0wwE7dTSuxdreQqjLpQoWyJHM7kqXHKjJg1/H8mGfPlRnBYJCqaON7b98mU1zi0NgIhwJO+l3dCfVbBVU2/r3HUYvzRDP0Q0iGfuVXfoW//uu/rie4AsTjcT75yU+yuLjI6Ogo3/zmN+sZFN3AZrORTqf527/927rby2KxIIoix44d216KGIuxurpKOp3GYDDQ39/PwMAAJlPnJNhHgXG/lWi2RCySxmFq+GLkcujW17ds8XY78uQkit8PLZ4uEvkKi7E8qYKESRSYCtpUfUOXXza/w4Q/W2YplsdnE7GZDDtIkN9hZLSDGLhbQXszCWq0yH/sWx/jH5b/AYPOymeO/DJf+dCXu16HSbWMleW45rLqsGrU/o4ksbm5SSQSoVQqIcsyx2am6BvTcT+aJ10RsFjUTJklzWau0zFQ61F7mOBMDduKalHzmIZ7zKyn1HC6eK6877iDvZSnNmPCbyORr3AnkuX4YOtU4ebPyF4rOTpZ58f9NhbDcd4OlZEW4hQludYHtz3rpvl4CwsLvPHGGywuLmI2m3nhhRd4+umn64n6QC02QNWoaaLh4Raf7cmAnYokcysnsxLP78i50ezxyw39Yz92ehaxkuXe3Rs4GKOvr6+rm15ZkllL7kyw9tpU4hJ0mll4IHBvs4jPU+qYbN1Jd7NXNE/NfA4T/9Srdumtxfd2rOYJ1fDoIexKgeTGPUTnGKKnv+tj2c0GRr1WXr2ziaIoPD3ac2Bi/3cC1Wp1Xxl1P0j4oXv1v/zLv8znPvc5PvOZz9T/7OWXX+bFF1/k85//PC+//DIvv/wyX/rSl3Y9liRJ/OM//iPf//73+da3vsWJEyf47Gc/y9NPP02xWGRhYaG+LotEIqyurlIsFjGZTBw6dIhgMPhYfwBFvcBsn4O/3wixvJnHL8vo1tfRpdMgCCh+vyqIdrYOJUwVKjyIFUjmKxgNait8n6t7EtSIqYCNc/kK1zcy+O1G1pKlui181Lu71mG3yVArEtTvFvnfz36BSc8kv3jkF/kP7/sPDFwZ5eMjv8Fgj7MrItRsNe+xiYx2uCFXq9U6ASoWi/h8PsbHx7FYLFy6dAmr1YrFoq6Trq2nCaWNJPISgnBwZbKg3pCXaqW6grCTYI16LWxm1eyhp0fEPRX4trLf7zVDymQQGPdZud0iB6pYaymv65lqou79VHK0Pn+ZcKZMqlBhKSkxWKxwerinbW6OLMvcunWL119/nVAohMPh4Md+7Mc4efLktoegZL7CcjxfX8kM1lZYnSZ7M712Lpt03I3m0Auqdkizx28PcmzsH7Pg6XFz69YtwuEws7OzbR/GirWJYN3S3iYKQC/oGHfriesNXF/PcGxQt8NC3yoIcnifxan5hnj9Oy0AACAASURBVKmZrGi1K9b698ppEbl1S2F+I8OR/s79YXUnZG1C5TQbGPc7a+tTD9JIkNu3bxMKhZidnd02jW2GoijEcuX6qtRjE4nny1xdS7cl7Y8DHmWp+OOCx/dO/A7h/e9/P4uLi9v+7K/+6q949dVXAfilX/olfvRHf7QjGfre977Hn/zJn/Dmm2/ywgsvcPz4cZ5++ml+7ud+rv4zjQnUsViMe/fuYbfbmZmZOZCQxHcLXr3MaCpM4f5tCkMerE4b8tiYaotv8+VpzGoxGnSM+60dVwbdwiwKnF1M4rcbOdzr6Gznb0K7brJOJOg/X/7PFKtFRl2j/OKRX+RE7wn+4J+eYGEzz3K8QMBhbLtqaW5L7zSVqFarxGIxIpEI+Xwen8/H2NgYdvvWCkpRlDqZy5aqyIrCrXCOcLrM84d6dhTf7hfpomqL3syW25bqgqqdmQ6qzfaLsTwTHeoItM/6QZSnNqLXaSKULnF/M4/XZkSSFVYS6ipPgfpEZb96pmbyXKnKPIgViOazKDqBAZcJyS9iMxpwmg07vtOSJHHt2jXefPNNYrEYXq+Xj370ozz11FPbHoJiNQ2dpjMa81oZ2IMAedSlx2Y1Mr+eZj2ldr5JsoK7Q5CjKIo89dRTRCIRLly4wPj4OL29vfX/3zidAk13Zu34fdOhcGzAwZ1ElatraU4OuXGYDSppjKuBmQ8TBAlqGOZSkzuvlfC7z2Wm3y4QzZa4Hd6y/zeiWJtQaVUl7XKQDAYDc3Nzdd3V8PDwDneeLKu5YMsJNaSyMcU6lqswv5Fmfj2N/Jh2gEmS9EQz9KhP4HFAOBymr68PgN7eXsLhcMefX1tb49Of/jSvvPIKer2eb3zjG5RKpW0/09hN5vP5MJlMXZcEPnIoCiQSdVv8oWKC2zYbN/2jHDsy3NYNkSlKPIjliecqiPqDIUEaqVipZRoNuC2YDGoOzF5ucoIg7KjjaLUO+/r5L/O181+jWC0iCiL/4ql/wZc+uJ0Yj3otxGolqs+Mbp+KaPoU7XzbxQ9Uq1Xi8TiRSIRcLofX62VkZAS7fWeSLqiEIl9RuLaWJparYNDrOD7opFip4jQbHpoIpWr243jt2KNey64uHq3Zfi1ZJOAwtbXTlyWZ1bRE6kHyoctTG6HT6ZgO2vnHezH+7mYUh9mwbZV3EFopnU5Xu2kW2UiXKJcr9HtsHPI7qBaz2KQUaQXuRnMc6VcnpKVSqZ4RlMlk6O3t5ROf+ATT09PbVuZ71Rm1gqIoyAiYDAJL8Tw3QlVODrs4NezuimQGAgHcbnVKFAqFGBibZCMj7Wk61XguRoOeE4N2Li4n+f7dTdxWkZIkYxB0jHr35zKD7YWu3bjzAAJWgaDHus3+D6qTbjnRRPR6ds9B8nq9PPvss9y9e5cLFy4wNzeHaFLTwVeTqrtSm8L57Vur0qDThCTbVVNDRnmo5PJ3Ck80Q0/I0A7odLpdPwSf+tSntv233W7fQaAarfWCILw3iFClstUTViyqtvjBQaT+fjyynqhsZzFe3NHkni1JLMbUaYJBr2PMZ2XAbd7T6qQZzSTIWyMVJoPAuaUkt8LZrqshYGsy1G4SZBH1GAQ9F0IXqCpVfuXor/Dyj77cchUm6HRMBWxcWU1zP5qrRfJvDx302kRGmkiQLMvE43HC4TC5XA6Px8Pw8HBbAqRBIyp3EjKHgxJjPiv9LhN6QcfFZTX3x23d26pKQ6JmAU/mt8IG+/fwuzvksxLLVbjdlFoOW+WpK7EskbzMWG0S9LDlqRq0ZvFUQSKaVSdkR/ocB5ZGXajILMTLLFWSgDpp6rVb8DhtGAwG4gUFi6jH47WysJljJZzg3o0rXLhwgWKxyOjoKP/sn/2zekYQ7Ozn2k8FhIZsSeJBJMP8ZpVpb5FnR3uI5yvIsvo80y1EUaRvbJor99d4/bsXGR7s58hY356mU1CbpOl0JPIVpKrMg1geU1LHB6d9jHptu7q5Wh1vv4Wu2oOPZv/XHIroqMcd7IXoaTAYDBw+fJhQNMbfvHYJrD14fH68NhOHe9vrngbcFsqSzK2bMnciuT3nnb3TaCZDP2xECJ6QIUB1D2xsbNDX18fGxkbH0K1WaGWt36t76ZEind6yxcsyisuFPDqq2uIFAd3GBk5JwmBUwxh9diNOs4FcjQRFayuVbqYJu6HaQIIqbSYrk7VqiNVkkaGe7qzVFRlW0hKZB4ltJOhLb/2v/Jcr/4VPz32ar/3Y1/gfH/4fGA3GXfVALovIoNvMg1ieYqVKplStp3E3Tj1kWSaRSBAOh8lms/T09DA0NITD0VnHAKqGZDGuaq5EvY4+u47nxnq2EZXpoJ3LK6k6KesW28MMhX1P8RpjGDS3347yVIcRm9fAbN/BOCXjOdV+rxG4p0fdhFJFSpK8Z0LRCtqq8N5aDkmSOTa41XvWKkjVqStx7a3v8a35qwTtIrOHZzhz5gwDAwP1nznIfq5GbZEiVwna9Tx/yKOenyRzcTnJ1TU1gLDTtKO5f8zmcPHSj3hJri2QWc+jcx0GuvsuS1WZjUyFxHIaRTBgM+p5aTbAarJINFth2NP969OE9asNha6dhOmtX5tcnwa7zAauZstcXU0x6rVxfMi17+vU1lRJxjM0SSkVRdhcYGLwCPZdNG9DbhO9dgNryULtwWNvEQTvJJ5Y65+QIQB+8id/kj/+4z/m85//PH/8x3/Mxz72sT39/Vahi489s65W1Z6w9XV0uRzo9cjBoGqLt23/kmpOLG0KcGU1hccqspmtdNSV7Ol0ZC2BeXehcdBpIpot86CmFem0LtMmQauJPNG8zHQTCSpVS4iCiNfqBcBp7q6hvlKVkRVYjBW4H83z/FgPh/yqpqJxApROp+np6WFgYACns7tJVuO0plFzdSku7JjYOM0GBtxmVhNFgg5TR4u+Ku6s1DOeTOLDido1aFb3W6EMsWyJTKm6rTxVUKrc2Hy470NzEGMzgfNYxa70S52gkqwiyby6KhxwifSIeiYCrY8XjUb5h3/4BxKJBCVJZujQFKeeeZYPHhuvfxdKNTH3arLw0P1czRlGY14rAZuemzlDfbphNAicGHJxUQsgHHbv+H4094/tWO0ETtQTmaemprZlHjWj0c21kpY41m9gPOisu8m8dhNvr6a4sprixFBnK79WwrrW4FjbL2GsSFViRXjrQYJCpUq/20yPTUSngEUU9nytiufKrCQK6lSptj4cdFuwGIOkUimuXbtGIBBgbGysrYxAlmWGXCJmu5ErK0lEobum+3cDT8jQDyEZ+vmf/3leffVVNjc3GRwc5Ld/+7f5/Oc/z8/+7M/yR3/0R4yMjPDNb35zT8dsRYYeW+TzW7Z4SUKx2ZAnJlACgZa2eNgiQ6JeYCZo4/v34oTSJU4Puw+MBGm5O7u5rTRMBmycX1LXM8dbrMua12F9LjNij6oxmfmvM6xn1xEFkX957F/yxQ98EaOhu5tTs137SJ+DRLGCxShQzqW59SBCKpWip6eHvr4+ZmZmur6QN09rGqshOmHMa605u7KcHnbv+Pnm2ol2YYb7RbooUZZk7m/m2UiVeGHCs83VVi5X9z0llbUgxrgqDG537t3ql5qhkazlRJFMcYt89rnMbEbKLSdBq6urnD17lrfffptyucxP/MRP8Oyzz1I1WLi6lubqWpqpgJ21ZKHrLrK2r1/WVkWqPb5ZW1QsFnd8vsz1iooUV1aSnKwF/zXb0N0WkZk2Auu+vj48Hg/z8/OEw2FmZma2ib61Go9GN9eUW8+JIde25Ga3VeSpAWf9fTk+6Nrx+WyuBPHZjQz3tC+v7QQtAuBBNMNaViFYKxn22Y3ICry9muLGRgaDIOxazKqFgK4kOidiu1wunn32WRYWFjh37hyzs7M4Wzhsc8Uy6zkFV65MqiAxv55B1Av0urqL53gn8YQM/RCSoT/90z9t+eff+c539n3M5tDFxw6Kgi4WU6dAqZRqi/f5VFt8F1qmxowej83ITNDGarKE17b/fqitLq6t8MHdcncaoekHbjWty9ppgr745m/zguEFAH7pyC+xWdh8KBLkdxgZ6TFTKWQ5fzfCdxfSnB7p4dBgL9PT03t6kt2sEZVMUdrXtEYvqCTv7dU0S/Gtgt1mIqGuG9qHGe4VyXyFpYTqGjTodZwedpEuSliM+ocOmdMKa1cS3QUxwnb90ulhV8d/V6vkWI4X6ySrU/6VlhH02muvsb6+js1m47nnnmN4eJjjx4/Xf27EY+F7dze5spJkzKfqWxp7sLpFq3DDdtqiVq/TZjLUg//OPUjgsRvZzJZb2tDbwWQyceKEOiU6e/Ys09PTmOxultvUeJxdVVpORTw2I7N9DubX01xbS3N0wIkg6MgUpW3Hapen1A2aAyrtRoEZn8jpka0QS70OnhpwcmUlxfX1NMcGXS0JV7OuS0vE7nOa267pBEFgYmKCYDDI/Pw8Xq+X8fFxBEGoV58sR9NsFmDCbuLkkJv7mzluhjLoBV3Hpvt3A080Qz+EZOidQKfJ0CN1DpRKWz1h5TKKyaRqgYJBMHY/pm8OLBz320gUJG6Hc5we2Vs/VHMhqdtqYLZ3f0+BvU4T0UyJB7ECDpOBaLa8gwT9b2/+B/7b2/+NUrXEdd91XnrfS/y7M/+u63+jsfBV6+Dq0ZfJJjeYX07gcrk4fqgPu7efql7A5e58E9bQvLIyiw83remxqpORlUQBr00kV9PtaERCK789iM9ic3mqNkkxCLqaqFxdX+4n9FFquBGVJQWnxVB/st8Nalq5lfmN9nqyVpUcnUiWLMvcuHGDN998k3A4jNVq5cd//Mc5ffo0qVSKRCIBbC8WdVlECuUqbrOB6WBncXwzKlWZ1UT7cMNW59fu+DrApNdxbjGJWdTXVrm2PZENrbdLZ3bwPy/eoIiBkaFBhjy2HTUena51AYcJKejgVjjDWw/iWEQ9icLDVYIALQnVkMeCTipxN7PzdYp6Qa3LWNmpq2pe0+1H1+VwOHjmmWdYWlri7//xLWyBEcqCEb2go9dhwN9nZq7mOnyq38mV1dSuTffvBp5Mhp6QoQOBzWajUCjs+HNNRP2ukiFFgWRSFUTH42pPmMdDtbcXPJ4dPWHdoJkMiXqB6YCNq2sZFmOFHe6yVtCe9JfihXohaacurm4x4rVyYz7CQjTHqNdCn8vMoNvE77z5v9RJkFEw8tnjn+WnbD/V9XG3kyAZq66CWUqTW0khOBwEAgEmJibqT8IGS7mr96PVyqpVSei+3guPhduRLH/xdojhHss2zcXDolV56mRAnaQ0rj2mAjYuLCW5G8lxpL97wXRzBlGPTeRwr2XPnw+/w4QvU+ZBTBX6a31se63kkCSJq1evcvHiRRRFwev18pGPfISpqSnsdjt6vR5FUUgUqlxYStTXKOM+G/1uM6FUkbvRHLdCWWZ6dydEzZk37cINm9Hq+tLc+H7mkId4vkxZVvbknKp3xcXzZEoSA6PjGMtpitG7eAKzmET7jp9vp5dRFAW9oCNfqnJ1NUXQYeLMuJf+fQqZd2u1z5QLbc/FaKgVqi4nubyaYrbXwWauvLWm6/K9bwVZVr/fUZ2bqtvA7YUlDgWdPHt0mmI+x1ph6/036AWODri4vNK56f7dwg/jNKgRT8jQAaCVmwy27PXvSkuxJG3Z4gsFEEXkgQFVEG1+uJ10qyoLj824bRLRbuQuK2oY2VK8QKnSvpV9r2hch5kMAlJVZrDHUhfP/sn8n6AoCp89/lm+8P4vYDQYOX/+fFfH1W5KuXwefTmLuZLG7lYJkGdmsu0qoNepvh9+u3FHho52Y1l6B1ZWjdMUFPWC7LOJHD2AxFtFUQhnVPFoN3ojq1HPqNfKwqYajLfb+L/+ftcmb75aWnS3mp9WmAzYOLeoNtvPBO2s1o6vCphFhjto0kqlEpcvX+bcuXOEQiF8Pl+dBOl0OsplddUUSRV5ezXLZqrMuEPZUSw65LEiyQoPYnkMeh2TgdZOv1xJda5pbejdZt5o0MjQbo3v4XSJ+Y0019fTPNXv7OjKqsoKoabi1JmgQ10hCj4Khb66lmhqaqo+UWhFzJpXTl67EZ/dQ64kUanKeyJCraz2GvlsPs5u7fBmUc8hn42/vxXh2lqKCb+9ZgTZ35quOfXbatRzfMTPPzkywNraKpcunKe/v3/H9KVOzDo03T8K/DASo0f/rv8AoJ1mSCND72jMeSaDLhRCiERUW7zDgTw9jeLzwQGRsHa9XuN+G/F8hdvhHKeGtwsjtfLNxRoJcloMTAcOlgRp67ATw3b+7d/9Nv/2jT/hL3/6W5wZepq//bm/Zdw13rUmqCTJLMXyLISTJJNJDJUsYz47w6NBvN7prgjtuF9tEr/VkLkjN1zAC+X9NaW3Q/O0o8cmMtvrYC1VJJYt10nXfrDX8tRGDPWYiWRL3I3m6k/XzQLqxuJXBXWNMtxjPpAbgckg0OcycfZBgsXNPG6rWK/kaJegnMvlOH/+PJcuXapnBD333HP09fUxNDQEqKRzNVkkmi9QUSN1GPcYeW6sp+V7Muaz1VOxDYKOsQYrdWMqczdt6O1QlWU2C3LdNWUR9UwF7PQ1xSQEnSaqsrqmuhHKMNe3M9qhcy3F1s9aLBZOnTrFysoKZ8+e5fDhwzu6HJu7zJpXTrfDWZYTBQx6gVFv58lyK6v9Fjlr/VnsRIZiWTXAMVmo4LebEPUCFlElj3vNqNLcgo2i9Oa15vDwMD6fjytXrgDq1LFRjN7YdH9+KclzYz0HEhj6BHvDEzJ0ADCbzTsSqKH7ctA9Q5a3bPHZrGqLDwTUKZD94MO82r0Og6BrWJflGffbdtxEHeaHawjX0IoE9Tr1fOGt3+K/X/3vlKtlRJ2d7y/e5PnB0xz2Hu7quMVKldtrcW6tREin0/S7LZyZ6GMgeHjPO/TGzJ2leAGzQdhGJo70O7oqId0NzSul5mmH1agnkW/vtOuEhylP1aDT6ZgO2Lm0kmJhM8+4d2syua1UFq3mwVJfZz0ssrVJSyRTUpOP9TLHB51tJ0HJZLLuDKtWq0xPT/P888/T19fH+vo6sizX3+/VRIF0JseA381swImUk8lk2mt2QC2Ulaq1CZGgw2o01G/ED5PKLFVl1lNFbq+mWE1VOdKr27Xxvd9tRpJl7kVzGIStiopSRXVzrdeKU702I0M9nYtTdTpd/SZ//fp1nE4niqJ03WU2FbAhVWUWNtVzGWyh79I0PKsJlWi4LCKTtWvJbp/FZjLU7MprDHDMlqpcWU3xds3+3004ZHPPms9uYsRjabvmslqtjI2NbROj+3w+QH1QyJYkZAVuhzOY9DpOjfQcWHjoE3SHJ2ToANDui9mYQn0gKBTQbWwghMOqLd5iQR4fV23x72DhaydSp63LlhMFZEUhnq9QKMvYzXqO+B0PrVdpV5tRVQocemWEYrWIUW/kX534/9l7s+dIEvy+71NZ930fKNz32fc1M3twSe8EN7hLLkVLDoYi/MCwX0g69MLwCy1bDEt/gv1gPcgMhWyKDluWbFOixOWSO1dP96AHfQB9o9GNsw7UfR+Z6YesLBQKVUAVgJldzuIbMQ/T0cjOSlRVfvP3+x5/wB9c/ce8iVfYy1YIn2BXTWRyPFrf5U0khV6vZ2bIz6Vb09hMZztfj1UPGvhPz+KMus347cZz0+3UJJk3+8UDR1uXAlJDi9NuJ1NmyHVyMOV5lKe2wm7SMew2s5ks4TFrKdRkVndzSj9Vo1R2qKX49axQ06gThQNR7qVBB6u7OXYzlSNkKBaL8fnnn/P06VM0Gg2XLl3izp07eL3e5t+p1CV2M1WepSMkUik05RxhhwEpto8peIk8J68TNI0Ot1iuzF+sRvHZDAw4Tc3eqn5Tmdvt8Sa9wIzPwK0x98k/DIx4LNREmXfJItW6sqaK5k5v/7dYLNy6dYtnrzd4Hi2QWt3GarEQcpgYPmYSp9FomA/ZESWZl7E8eq2GoEP5zHYqYe3Xaq+SIZU0bjUylTq58lwWgaWwnScN+/+VDvZ/Fe1lugNOpcC4lwmsLMu43W4WFhZ4+vQp27u7uAbG2cvVmlO9b095iWUrPNrOcPWEXKbzwnEi/F8mXJChrxDnQoZkGU0yqUyB0mnQaA5s8S7XyT9/DjhpwjXptxLPV/nZ6ySXw3aWwl8NCQo5tPzvz/6U3w/+PmDj5sBNLvsv889+5Z+hE5S3cqoosR4v4rHoj4yaJUni+at1nm7tkxN1uFwuPrg6z7jfdubJhOpS2kyWqYsSJp2AUS9wfbi/yUwnqLqaZwmJmkfRJJ1UaxFyGInmKmzsl/BZDV3H7uddntqKUY+ZN/tF/vLZPuVEnXlfjVGvmaEzppS3otXZpm9UwYSdxubxVUIWtBvwWA1sbW1x9+5dXr9+jcFg4ObNm9y+fftQLkyxKvJqL83KyyjlUomw28KdsQFGwnOIoki1WuXRo0c4HA5Mx+jxWvUyNUnGZlTKXCd91r6zZZRU7yKRbAVJlvE3JhFSpcDOTrqvY3mtBp7uZXm8nSHsNHN12HmqFR20CJklOxWNgWpihzGTl9lgZ21dKwRBw2LY0cz+KVZFClXxxBLWXlCq1tnO1dl7k0SUZNyW7plKAD6bUbH/7+VY282y1KKrOtBjlciWT1emCweOLUFnwDk8w+rGHp9+ssLM+DCXJ8LNqV7IXuXxToYnJxCz88JFL5mCCzL0FeJMZKhaVSzxe3uKLd5gQBodRQ6F+rLFnwdOIkM6QcNCyEahIuK1Gs5EhLqRoH9697/nTx//KVWpyoBtgN+e+W3+/X/x74/8/EzAyhfvMryIFbgy6KBYLBKLxdiJxnm7X8amkXEPjrPktp5LmWd7aKTLomM+5OJSWOq7MqQd7boal1HDrdGjicLdoF6Ll7EClwcPh8C1Rwach3BZhRobsJkqUa6JZMt1rNqjVSJnOX4sV232TRn13QMqx7xmYrkyf/PFKoXNNba3t7BYLHz3u9/lxo0bmM0Hv5v9bJFH67tsRBLotAIhh5HJSS/TE2PNvyOKYjNkb2VlhVQqxfDwMEbjgVC8U/XGlUEn35vW82gny/NoHoNO6Gnq1qmlvTW3KFXuza16EC6pJFg7TGo9igaLQdsXEeoWRqjz6/nOt97n7du33Lt3j8XFxY7hg63QCope6nkkx+OdLNMBK7NB+4klrN2Qr9TZSpZ4tpWjUhG5NGBgxN19fdWKoMNETVQmVc+jOWYCNiLZyqG8oU56rF5RKNeIFiXelJNIssx4OMD7M2F2374ispHFPT+PwWDAazN0JWZfBS5s9QouyNBXiFNphlRbfCKh2OLdbiUh+pS2+PNAL6/DYzUw5jWzlSrjsxn6niz0QoKMWiN/eP0P+dHUj7oex6zXMmgTeLC+Q+TNc9xWA1WDi4pjlFLiDTdHQ4x6+itn7ISjayU9CyHzoVF+r5Uh7TjS7dVYDa6mhb6OY9ZrmfCZeR1TJgohh7FZnhppXOdepky9op2kmPQC10ecjHmM3Hsco1QVz9RUrzoTt1KKGN1i0B4bSyBJEs+ePeP+zz5hdX2bgNfFjz/8kCtXrjRTkmu1Gq+2Iqy+jZKrSHg9Lr57bY5xv53o3m7X6YZWq2VwcJD9/X2Wl5eZnJzE7fU3CGa5a/XG5UEHK1sHT/3dVj/t1vFuLe0nRXeo/WObHRKsNcDqbvbImqobOrnMWsMIdwWl5Hp8fBy/398MH5yYmDhyHVUNz2ZKcYYNukzYjDrMOi0Bu7FvItS+vvJbtfh9VubCvdXrqBhymylVRZY3UzzezhJwGHGY9Ez6rac2Pagr3Ce7BUxGIwvBwxOvwNWrRKNRvvjiCyYmJgiFQgQdJuqSzIuoQszmQyd3GZ4WF2RIwQUZOifo9Xqq1eqhKPqeJ0P1OppYTFmFlUqg0yGFw4og2ny6qcJ5otcP4aTfSqrhpupUC9EJ3TRBZr2WN6k3/POH/7xJgv7pd/9pcx3WjnK5TCwWIx6PIwgCVqOdeD2EYFZ0KSNOE5aslmm/5UxRB6qDaytVOnGtpFaGvIzluTJ48rqsXVw86FL0CGfR1Qw6TcRzVdb2csRzFZLFWpNg9ap1OAmqaH4zdeCYmwvZCDbG/h6zlgcCvIjluTHcWyhlKw6iAw5E3Uvh7qJuNSPo888/J51O4/P5+Pt/77fQekdxeCxotVoikQgvNiNspyvorQ4C4SHeDzqb4ZEdX2fjgUB1xsmyjM1mY3h8ir99sEaqvMXQ8DBhl6Wr9kavVazUDzbTPGqE/qkEsT3XpzW3qNtasRsZatfKHOkfa6B1TaUVNM1OsVb06jJrhc1m49atW2xsbHDv3j2Wlpaw2+1HLOitGp6aKB10qvVgMT9ufRXdK/VdAaNqlSKZMpKsCMu9FgNXhvuPqGifxOkEDSGrlumwg+HQ0fytYDCIx+Ph+fPnRCIR5ufnGXSZqYlyQ2QuMPMVNd1frMkUXJChc4Jqr++LDOXziiA6HgdRRLbZkGZmkP3+c7PFf53QtdRCbJxQmNltEvQ/fvaP+Q9v/gOr/9UqE+4J/uy3/oxfn/j1jiSoUqkQi8WIxWIIgqAEIc4usJsXMaRKZOMFPJLMd8fdGHUCuW3tifkj3dDJwTXqtRy7VlIcKxaeRwrsZioMujo/eecaLenxhrh42K3oajrpEfoN8SxURSRZ5nkkz55Jx51xd7OB/azo5DzrRFL0WoEhm0C+LPa1Nmy/5i6L/tigznK5zMrKCl988QX5fJ7BwUG+//3vMz09jSzLPHyzx90nL/m0WsHjcmKy+5kKWBhxm7vmJsmyTK1Wa/6/IAjUarWGA0hkY7+MvprHNTCGr5Kluv+aUHD+WBGyWqb6ZePGf3XIQbbxHjia63P877r9/dBP/xgoa6rLg0oS8upujitDmuYkqz0Ist+SWUEQmJycJBAIsPL4CZLZjcbmQ5TBZdYz23ZeRkHL1WFXktFKGgAAIABJREFU87rcaHSqtaPThKp9fSVJUs/Tjmypxrtkif38wSryxqirkU+lVKL0Wqjafm7qJG7AYWT9dQKzofv7Qq/Xc+nSJeLxOA8ePGB0dJSB4AAb+wWW36XQfUVN9xeTIQUXZOicoFZytOZtCIJAvV4//BclCc3+vjIFyuVAEBRbfCgE9t4Te39R4bboCTda1P0d1mXdSNCffPrH/MvVf0lNqmHUGnmeeM6Cf4EfTv3w8M9XKsTjcWKxGACBQIBLly5RR8vbRJHXe0VlVO+zMOW38i5ZIlWsEnKYmuF0/aC9k8zXWCv1uu4JOUxEc1Xe7BfxWg+LulsdUDqt5lzFxerNdT+vrFmuDDko10TcHYTl/UKdFCi1Bb05z1wmAaPN0NPaULkJl9nL9qZnyufzzYygSqXCxMQEP/7xjxkeHiadTvP8+XPSmSw1gwPB4iKr0xB0WLkx6uxYtSBJUvO/fD5PIBBAr1cIniAI7OfKvN1J8TaSQ5Blro9ZGsW0PsrlME+ePCEejzM9Pd31JmPSa1kMO/irZzH+7IssIx4LPpvhxIlLO1Qy1ElgfVy4ZCtak5CVklllwhvNKnEhvQRBdvtcFasiOwWoe6fY24sgxF/yKzcWCfs6mz8sBm2zU21lSyFEzcLfI9lFOiZ8neMEJEk6Nt9N0bUpUyU15qB9FTkbtFETZV7FC+i0AgPHiN7bz83emMQF7MbmufVKOvx+PwarnU9WXrD7aIvh4RHsJh1vE0X0WuHUGsRuuCBDCi7I0DmhUz+ZVqs9yB8qlZRwxGgUajXFFj8xofSEfYW2+J8HJnwWkoXqoXVZt3XY3Z2f8cGf/YMmCfpHN/4Rf/KdPzk0CapWq00CJMsyfr+fxcVFjEYjxarI60SRWO7Asq02psuyTLpU43W8iNti6EvD1amTbPQYq/BxmG0TdbcWnHZyQHVDL/Uu7eWpY14zgy7lifnBpiKmdpp1pyJcSu7LATE8Kc25HUoydI2XsQJXh45qOVq1UkCzuLMbcUqlUty7d4/Hjx8jiiJzc3O89957WCyWpgbDandSN7mo+wJIElwO6KjWZYpVkXL9wFKskh/1pi4IAoODg2xubvLkyRMWFhYoSDreJYpEU1kK2TTGWp7bi5OEPSa0jetpMpm4efMmm5ub3L9/v6OIuNKYuOxkykqpbVmLoIHLg86+s2Vy5TrrySo7cvJMDiyDTmDUa+Enz+I83s4wE7Ax4Vf6x3ohz+3vS5Xox/MVBI2GsMvMexOL1MsF1tbWqORCjI2NdXwv20w6Lg86ebSd4eF2hrmgImRWs4t6mVB1mwBLkqI720wVKaoaqi4xBxqNhsUBO493ZJ5Hcug6FKqWqkpGU6Tl3LplNPUylU4Xa2ymlDBOq3+QK74y+ehb5keHyGgtvIrl0Quac226vyBDCr5Zd+GfIzqlULeuyTTRKMLODrLXq9ji3b3lgvxdROu67EU0j14rHCJBAYeGleg9ZvW/xu3wbVxGF/9w8R/yT779T5okqFarEY/HiUajSJKE3+9nfn6+aWUuVOq83ssRb5AgJUr/8FRFyXixsbyZ4WU039NkqLUeQpaVLJ8xb/+t461Qov8tfLmVIZatoNcKRwpOe8Fx539ceaqKueBBEOJsH/qDTqLr49Kcu8GoE5j0W3gZLRDJlgk1BLvZsuIAUteEYafp2FVeLBbj7t27PH36FEEQuHz5MouLi9RqNba2trDZbDg9fmTHANFcFamunPNwY7okyzJP9/K8iuXRyDIBm2J512g0aLVaxf7cuGlNTE7ycjvOn/30SzQ6I4JUY8xn5dZ8GL/PhyzLVKtVtFotOp0OQRDQaDSMjo7i9XpZXV0lEAgwPj5+oEnJHuT6XB92IUpy88Z/rcdsmWRBSVHe2M1TrUjMdBFYn4R23U3IYcSs12LSaxly9W40ULNq9vOVQ9OWUY+l+XACgMHBnTt3eP36Nffv32dpaQmr9ejqx2XRM+6z8Dcv9nm0nWHSpxCW47KL2s+nlXjURInddJnt9PEaqnYIgoalsJ2H29lDhartqzW1IPa4c+tGOtrdefpGKrcaxilODfDq1SuKmQgm9yjPIjl02s76rtPgQjOk4IIMnRO6TYZUMiQPDiIODIDxfN7APw/0o1dR12X336bwWBQ3RsCh4U8++WP+1dq/QpRFNn9/E4fJwfrvrwMKAdqN7BKLxajX6wQCAebm5g7Zn/OVOu8Syo1T24UEtcJi0DLuNbMeL0JZ7joZar/hnzSV6Af7+Sp7mTLxXJW6JPP9OS+jHkvf9tx2MtSpPLWbxRwOByEG7MYTS1A7udpOK7pWz3vAYSSarfA6XkSDhkiu0pxinfS73Nzc5O7du6yvr2MwGLh27RrDw8MUi0UymQzBYBDfwBA7mSqvc1U0VI+cszr9mfIZKdcUcbte5yDkNB+5eW7EMqxu7BFPpnGYTQTM4DabWVpaOKQN1Gg0zfwhvV7fvLHYbDZu377No2ev+Nf/6S6ugRHMJhMDThMjbbk+lwYdPG6E/l3tki3TqZtr1GXALmiYPEaf1wnqhORdsnjIGRZymCjVxKZu5/qw80SCJUkyu+kSL1ISxZ3ssdMWUKZuMzMzZDIZHj16RDgcZnR0tPndohK9VLGGy6KnUKljNynn16vFXCVDTd1Tw+HnsRiYDx2frt0OnVbgypCDB+/SfLKewG3WU5Pkjqu1Xs5JRXvNSDfrvlarZW5ujnQ6zZPVNfI6N0+Aq8POnvVbx6Fer19MhrggQ+eGTmWtgiAcCKi/yn6yrwG9rGjaMeGzEMmWqYoV/ufH/x3/29q/oibVMGlN/OH1P8RisFCv15srsFqths/nY3Z29hABgv5JUCuGXCb281WebkuUayKtUsj2LJ/QOdVDqETlbfLAZv69GQ+bqTLFqnTqIDVZlvsuT23FqMdMPF/hRTTPrdHOjr92QfdZXW3t7xmf1cCXW/u82S8y5bccOyGTZZnXr1/z+eefs7W1hdFoZH5+nmAwiNVqxePxMDs7S6Em8y5ZIrmdR9uWcC1JEqIoHiLCep2OayMenuzmeBUvYTLo8VgN5IplHq/v8HwrjgSMhbx8+ztXCTiVd83+/j4PHjxgamoKv98P0LzBSZJ0aEqUKioZQWmdB1fQRDHyltnZEcYD3iPXxGNtZMvsZnmyk+Xy4EG2THvZaWs3VzRapVTqPcus3RmmaFsO625sRh1Xhpw83FKmVddHXB0/Z62OtXypgqARjqQ7Hwc1r+n169fc/+ILAiPTxMscKWGN56rHdqp1Qr5SJ7lfppxIApwqXVuFJMnEc1WqosR2qsReusz3ZnxM+q19JYirE5h2kXuv1n2Xy8W3Pnif5y9fc2/9JdXKCB/MDJwprkI9L+Pf4Yf088IFGTondJsMfSXdZD8HqHqbfpxYOkHD5bCD/+Fv/yf+9Pn/qpCgm3/IH7/3x6STaZ6uPqVSqeD3+5mensZiOerYUELnFCHwaUXG6rps7ZWG1/Eit532QysLDRByms4lhLG9nd5sEJhrFJwKGg16rcB6vEg0WyHo6O8LSAb2shV2s/m+y1NVaAWlN+zhdrbZJ6eiXW/UD+E8Ca0ZQYWKiM+qR5Rlpv3Wjs32kiTx9OlT7t69SzQaRRAExsbGmJqaIhwON0XNiUKNJ3uFjgnUKjlRr40gCM01mIpLgw4evE3yVw83EIsZClUlVPHawhTTIdeRG43P58PhcPDs2TPi8TgzMzPN9Zj68LOXKbGdKlMWNZgM2saUxAvyIC9evGBlZaWpeWtFwG5EDNl5FsmxtpdjJmBVJgddyk6h92ltq05JnZCMeLpPSJxmfXNa9Wg7y9UhR/PGr5aTbqdLzXTncbedvYq+by2LjAaLf5i3ZRMPPn/C8ECAG7OjhBrZRdC9U60T1HymJ9Eyfp+VmUFXz7qndrQTR5tRxw+XgooxoVBlxGNB18dhi1WRl/EiiaJ46poRQRBYmJvBHwjw5x89YS+e5D//1jz2M9QIXWiGFFyQoXPCSZqhv+s4bemsy6LnD67/10iSxB8u/QPquQxPHj3B5/MxOTnZUS8ACgl6myg2nVaqEPi0N2aLQcuQQ8dOusyn60nqkowGCDtNjHjO3pHVKWunUzv9kMtELFfldbyAx6rv6fWo4/SnCYkBUwG3zdR3eWorXBY9A04j2+ky/ka+S2ulxYTPwkAPgu5eIEoyO+kyz5ISxUi+SeB8Nj1fbmV5FS/ithqaU6FarcajR4+4e/cue3t7GAwG5ufnuX37NgMDA5hMJiRVY7GXaSZQTweshBxGNMjKykqsH9IAqU6w5nmJIolEgvXNHdb3i2xVzJgtLr57KcBcyH7sKtBgMHD58mX29vZYXl5mbm4Ou8N5YKmu1jHpBCY8BsJuC/oGWQKBxcVF4vE4y8vLTE1NEQwGDx17wGmiUKnz+UaKR1tpBlwmfA1nWKeVyElkSE1kjmTLQH8TEo/VwOKAndXdLE92s0z5reyky03Nk99ubKY7F4tFon08KLVPR/xuJ1fHbpHY2WD39RruxcVD0+HWTjWdoGEqcKB5kySZeP5gfWjQCoStAjfHXHjc/WfzlFq60UT5KHH02oyH7P8nid5TxSpbyRKr8Spznhphl/lQing/UF1wW3mYmJzm2dtd/vyv7vNbHywR8J6unulCM6TgggydE07SDP1dx2nIkHrDqcSi3NR+wIvdPL+6NIbT0f3JLluu866FBPXqtDoJhUqdYk1mt1QhWoLvTXuY8FnP3AwtyTJ7GYUEVWqNgtpj2uk1Gg1zQWvT2bU40P1atKdcm3QalgashE7xBd+OCZ+F9f0i/+5RhEGXCbNBe6zeqF+o4ZTbqRKVuohB4Ehn3WzQxpebiqB7xKFleXmZn/3sZ8TjcdxuNx9++CG3b99uEmZRktlOl9hKlanUDsIdfVYdsiQhiUqMhToBaidAkiSRSqWIRCLs7GeoGhwIZh8jk2au24zs56sUqyIyJ8cvaDQawuEwNoeTjx6sUdSY8QWCOC0GpgJOfFYDsqwQs1qthl6vb56L3+/H6XSytrZGLBZjfn4enU5HvlxnM6VMDXUNB6bPauTKUPfQv25kqD2RedBlPlX/mN9uJOw08+mbBCtbGca9FsKNY7XezHudULW2vXeKAAg6F0gmk3z55ZeMjo4yODjYPO6k30pdktlMldBpBYZcpkMBjq3rwyeFbQz6/m5vrdUn0D1SoH2N2En03kkUHbRo+Nak91Q1I51ccJcGHXww6eHe6yh/cW+N2+M+5mdP7oRrRzsZ+mUkQnBBhs4NNpuNRCJx6M9OO035RUSvr0UURZLJJLFYjEKhoMTxj48xMmnk0U6OWFnA2SEhP9NwZyRbSNCgq3enVTe0ao2yNbgWtlLSGBElzkSE2gMHHWYdMwEr3h6EmVajjlGvhY39Ivv26pEut/awQbdVz5jHzLuyHpf5bB9ZqUWEWxdlijURh0nL9RHXiXqjXtBuv/dY9Sy4rLzOCkdep8Okw6mt8n/+2/9E7OUKtVKB2dlZfud3fofZ2dnml3orsaqJMk6zjimfGZdJq2ioGuvb1v9UyLJMJpMhEomQTCbB7KRqcKILBbDqtAy5TYSdysSxWBVZ2crwaCvLtRHnsboxNQtpN1PGEhpHm0nA/gZz15awWpX1V6ttv11cbTAYuHr1Kru7u/z1x59jCY5S05rQajQMuc28P+FhK1ViK1ViY7/AeJewvVYS0hTUn7FQtPVYaoKy06yjUpfwWAzMBKwdc32Ouwm3WsaFDh1rrfB4PNy5c4cXL14QjUZZXFxsukhnAlZKVZHP1hOY9VqcFj1Os56ZoA2v1XDomvdKChL5KpspRbCtbYSeDrvNx5KW1jViq+i9LkrsZSuHRNGqMP1eTOibCKn5RTvpcovG67AL7s5UiIdGE29S+yQ/u8ulpUVcfZR4X6zJFFyQoXNCp8nQLwsZkiSpSYDy+Twej4fh4WHs9sNix0GXiZ20Esao7skzpRpvkweZOxM+C+FzIEGtWiNVcB2UTQT9ZnKY2dgvEstVCHTQqxyHo51kumNTkbth2G0ilqvwMpbHaVYEqieVp54mNFKFKMnsZcvNqYrNpOX9cRexfJVEvkqpKp6pn6xdiK6GU9qMuiPnLMsy79694yc/+QkrDx+SFfVMzi7yX/69HzA5OtT8e5W61EgBrjS0KTqGXUbsRm3zerRb4VXkcjkikQj7+/tYbTa0Ni+aoJ9yXcZs0DLsNjPgPCw4txi0XBlSusMebWe5Pnw096dQqbOZKjUDCQMN16HN6CebzbK6usrAwADDw8PNyZT62WkVVys29Cp7dSuyd5yXG+8YDzi4c3UOU2OiMeW3UhdlNhLKaqhTCrIsK3Os3XS5OTU4S6FoxxyeRpfZZrLIRqLIq1jhSDVEp8lQp0qKVsv4cdDpdCwuLjYF6+Pj4zg8frbTZZLFKuWaRKUusTToYDpwdFJ6Ehlq72xT0uIVB1yvU+hW0fuXm2lcFj17mTJ1ScZpPqrv6get1SCiLOOzGhjqkl/ksui5NOjkMaDVuHn+4gUup/PY0M9WXJAhBRdk6JxgtVoplUqH/uybNG5sF4OrK4doNEoul8Pj8TA0NHSEALViwmch0QhjnAlY2UyVSRcVEtRv5k43tE+YWrVG6xnlpjTiNRHPV3gVK+C29KbbaYopG9Oa4zrJeoGg0TRzf57u5TAbdD2Vp54mQbt9qtI6wXJZ9Nwv1ngRK3Bt6OT+tHbkKwfOs+Ps97Isk8vlWF1d5dNPP2V3dxeHw8EPf+M3uHrzNm/zWqKizEBVWStvNQiHKMn4bXrCDj1200EKdCcCVCwWiUajxGIxTCYT/kAQvXuA3UyVSlXCbtIyGTAf36ll1DXqKbI82s5wtbECSZdqbDXIteqwG3Ifdh06HA5u3rzJ69evWVlZYWFhoTnREAQBnU5HrV5nJ1VkL1enLMqY9VqWhj18f3GA7a1NVpa/aPZ4aTQa5kI26lLnFOSaKLGdqRArSDhKuY7OsF6h5vBsHXKZHU5QHvcpa6qtVOlINUQr+WgnVGa9tkmo+iVnPp8PjFY+XnnGfn6TsdFRRnx2bo26eRXLs50q4bboj2TudCNDnfKG+nHAtcNi0KITNHz2JonDrOPGsIsRT3+i6FZ0mqANuU/OVmptuveGZzFJGe7du8fs7Cxer/fYn70gQwouyNA5wWKxHBFQf5OgOmWSySTRaJRsNovb7WZwcBCHo7ebqFZQCMBnGyn+8mmcMa+ZSb/lVF+S7WifMHVaswmC0HyCnQ/aeLCZ4VWswMIxup1OdRzHVUP0A2WsLvPxeopxj5mpgPXYHJ9+bnDt592NvOm1yhPxs0i+r96w1iqRdit7K4rFIpFIhI2NDT766CPS6TROp5Pf/M3f5NatW9hsylO9yyXy6Zsk/8/jCC6LDqNWIGjXM+QyYdZru06AKpUK0WiUaDSKVqslFAqxdPkq0UKd9XSZuljGbdEzF7L1nC3jNOu5FLbzZCfLx6+T2I1a8hWxQa4tDLpNGLoQaK1Wy+zsLIlEgpWVFSYmJggGg9Qlid20QkqL1RoWvcC010rYbWneiMbGxppBjaHQQUJzawqyVtDgNOmazrC9VBWvzcjVIWdf2TnN69eny2w6YEOUZKUaomVaJcsyogxvE8U22/5hQtUr2sMgfeFRRqQi+eg6Ds8kdpONy4PKFK+9Uw2OkqHzyBtqhSqKVjVZV4ecFKsiBp3QNxFqf60dwyp7QNBhoibKvIjmEOxurl718/TpUyKRCLOzs+i6NB1caIYUXJChc0KnNdk3AbIsk0qlSKVSxONxvF4vAwMDzM3NndrJNO23sraXYzZg61og2SvSRYUEpYu1E1OdW9dMrbqdQAfdTmsS9VnrONrROk3RCoqjzWbSKbklx5DCXtZk5YbtuXneDfJ2XBZJ0GEklquwkSjhsxmO1cq0Jl3ru7j8yuUysViMaDTK3t4eb9++5cWLF8zMzPDDH/6Qa9euNScmAKlijbf7Bao1kUS+gl6AO9MenFZjRwJUq9WIxWJEIhEkSSIUCnHlyhVEjZatZIlXWzkkGfx2lbj2d3OSZJmqKFERJZ5H8rgten5l2sugy9wzafd6vdy8eZNHq09ZWd/D5Akja4QmMXOZdU1xdavQ2263N7N3vvhCmRJZLBYuDTr4/E2S/7gWxWUxYDNqCdiNeINGPHZL3zf1Ti6zEY+lp8ya1s4urSDgsep5HS/wIlYlrC+cSKiOQ3um0uGVn5faeIhnz54RjUZZWFjgSqPH7PFOluvDB1EIKhlSMrOUlbj6Ok+bN6SGXm4mS+Qq9SOarPV4gXdJpT+sPQSz0+e219DFfq4dKCaUaDaDUefmxo0b7O7ucu/ePWZmZprZWId+7mIyBFyQoXPDN4kMybJMOp0mFouRTqdxuVzYbDb8fn/HD1O/mPBZSBarvIoXcFr0p1qNKSm1h+snTpowteueht3KuqxVt9OeRK18eZ5PEnV7earaTl+qiaxsZXmzX2Qm0D1J+DgypGoMVM1Ovwna02p/WvRob5j65PquESBpaNRqtF5vtT9OrU/JZDK8fPmSVCqFy+Xivffe43d/93eb5ZkHYt8i6UIVg05gPmjl1qiT57ESG+kaV+2WJkkQRZF4PE4kEqFSqRAIBFhYWMBsNpOv1HmdKBFrJmWbTpUefiCKV5yBLrOeX53xEs9XyZTqDPXRoKOkd1coWAcpVlKkN1/zweVpRkKHnWGSJFGpVNDpdE3ipyY0p1IpHj58iCswSN3kolgTKdUkhHKNW6MuQk4Tb97s9/VQ0j7ROI3LTJ1W3duo8VfPozhNejS1Ch6zjtuj7lMRjU4lrJ1Ka/V6PZcvX252z01NTXFtyMeDlsRsq1FHpiLxaCfbFEUPNUTRp8kbqovSIddaqyi69ftGdbup9v9R74HGS60rUV/raUIXj7t2rccbdluQZIntdEmZkg8O4vV6efbsGZFIhLm5uUMltrIs9+1A+ybiggydEzrlDIHyxdFvWOHPA7Isk81miUajpFIpHA4HwWCQ6WnFqvnu3btTi3fboa7LeiEA7Ug0SFC2VMegO75+oh3tZELV7TzYzLC2l8Os1x5q6j5t9UQ7upWnqtMUg05gyG1iO1Um0CIu74T230G+ciAU16Dk1BzX69UNJr222Ru2lykz4DQdyU6yGLTMhayKvkKjoV6vsxeNN+tTXC4X5XKZL7/8kmw2SyAQ4Mc//jHz8/MsLy+j1+uVKIJ0ibeJgxqIuZCdsNuMtkEEDAYDqzuKZmfIVGM/rgjzfT4fU1NTzdVauljj5XaGZKH1hmfC2E8SHlAVJXZSio6k3tRV2ZrTwu1UiVexAs8jeeZDtmNvWNlyo6A0V0XQKGGet8YmEKRh1tbWKGdTTE1NHXK+tSZkqxZ8WZap6yzoBma592oDpAgfXJnl/XEPT3azvIjlsTbE6SfdQNvXMGdxmcFBsGGhKlJvlN5e8hoxSVLfRKiTUHj4hBJWgGAwiNvtbq6BFiZneLJX4Kcv4rgtBt6kRexVsZlifZpoDjVcUiUZTrOe6cb7ots1nwlYqYsS6/sFdFqFbELDUSgLPI/kmrECpwldbIU63Yvmjh5PlmWeR/KK+L7RdH/16lWi0Sj379/vmHGl4mJNdoEzodtk6DTJzV8XVAIUi8VIJpM4HA4CgUDzy7oVh6pFzgFOs75JAPw2w4luLKXaotjs4JoJKiF7/djBOzniBI2i2/lkPcWYx8xM0HYuSdTQW3mqinGvIi5/Ectzc6RzTUanVnBVs6NOmc4SFzDQWJe9jBUoVkWiuSrVuuI8WxxQbgKSJLHfmACVy2V8Ph9DQ0M8e/aMjz/+mGKxyPDwMD/4wQ+YnJxsnrMoybzdzytTl7qE3aTjctBFwG48NKKXZRmhWkCfj7D8PM2u18l3FodxOZ1NMhtvlIGqhFjVh/V7wzvQkRy494Y9Zlxtuqoht5m6JLOxrzzxtzup4OB3nS7WWpLSW8mGluvXr7O5uckXX3zBwsICdruiVWut8yiVyySKIru5WtPN9f1bi+gqWd6sr+GenubasLcZ+ueqidhsnT8DUsNBuJk8+xqmfUVk0ApMBWx8MOlhdTfHemyfUWvvztn2otNehcKtUOMJtnf3+Ju7y0j2ELslgf18lQGrhvfHPacSRbeSDFmWm6GXvZglNBoN8yE7oiTzIppHJwjotRpeRzK8SEmQrTQeWE7/oJUsKFU8icZ0r9PxVPF9TZJ4Fctj0GoIOkyEQiE8Hg/Pnj1jb2+PhYWFU53DNxEXZOic0E1ArQYvdhOvfd1QXT0qAbLZbAQCASYnJ48lbF9FTECTAETz3Bx1HSEJnfq9eu3g6gR1SgcHE5V4ropWqwiA7SYd417zmQIe+y1PVdFak7GRKDLVoXhTo9GQLNZYz2RIF4/WT5wVdUnGqBN4GsnzNlHiypCDuaAVl1lHKpXi2bMo+Xwer9fL+Pg4oiiyvLzMysoK1WqVqakp3n//fYaHhwHl5l6u1thOlVndr7Nv2GfY72bJa8FnP9AMqe/JSCRCIpHA6XQyNxZmbGKSF9ECO0UBh0MmllVuxsWq8l5QCHH/N3ZVsxU7FK7X2b2nYsxrUZxUyQMnlRqst5kskq807NkBKwNOI7oOn6XWNvunT58SDAYZGRlR3pfAbrbGZrJAqVrHbtIzH7QTcpoahNKM1+NmdXUVQyzG0sQ0j3fzPI+XcbUFd/XSP9YrOula1GBDlWhcHXIS39/nVbLGdLnedTqkpie3ttr3U3Tajqb4u6DHMjBJOrrNtEmP3j3AuySIsoxA76+3F5LRCwRBIUQ/e7XPv3u0R8BhwKaVGXToeX/Cc6oHFklqkNHUQcr2hM9K2Nn9AUij0bA04ODRjuJY1QpK073BYODKlSvEYjG++OIL6vV6372T30Ro+lx9nM+e5BuKa9eu8dFHHx36s9VvtxYRAAAgAElEQVTVVSYmJjr2bn1dkGWZfD5PLBYjkUhgtVoJBAJ4PJ6ehXN7e3vU6/Xmje68kCnVWNnKEnaZmuuy5k2mpYh01GMheIov81bs7e2RLlYQzd6mbkcpITVRrkl8uZUhaDcyF+o/4bnTOY+4zX0TtxfRPJFshatDjuaTqEqwPnn0EoPNidthZ7gRFngeadHtouu6JFOpicx6BMR8knQ6jdvtJhgM4nA4SCaT3Lt3jydPniDLMgsLC7z33nsEAoFmK3yxUmM7XSGSqyIDTqOGUmyT4aBCpDQaDYVCgUgkQjwex2KxEAqF8Pl8h0j520SBL95lEEWZgN2A3aRjxGM51Y09XazxLlkkWaghCBrCp1gpvogqdm6bUYcky5RryvpwxNPf71qSJNbX19lPZXCGJ9gvyc2eryGXEadJOafWoEZQ3gs7Oztsbm4yMjHDx893cDvt/NqlMSRZsb3vppWVk9dqYLhLNs1JUMIzS2ynDlZEI25z1xXRxua28vkJhrg+4jpEIDplFyk5T51b7U9Ca1I3HIi/bUYte3t7PHrxhvVUnfdvXm2GIXaDWuXROvEacpuPJRnHoVVfVKiK7KRLOEx6boZNpKPbXL58ua/jtUcBWA1aht2WQ2S0l3N6uJ0hXxG5Erbhth08iFSrVT7++GPcbnczCkLNwvoGoacL9Y16xT9vdPqS+HlVcsiyTKFQIBaLsb+/j8ViIRAIMDY2dirnwFcVINm6LvNZ9VRFufn0f5oi0m7IlGq82K8Qy5YIh2pHdDv6xl59M1nCbzf0lCQNB51k75KlU5entmLSbyVZrPEyVuDasIP9fK15PSRgymtieuh80qIVka8yIVHzjTwGkVwyzufvEiwnzPza4hAzMzNoNBr29vb467/+a168eIFWq+XKlSvcuXMHp9OJLMtUq1WKVYntTJl4vo6gFRj0WBnxmLEadEjjfl69esWnn36KTqfDaDQSCoW4efPmkS/fAx2PYoUuVOvYzRZujfahYqZBJBvTiGxLmetp1mpVUcKg1RDJlknka8yFbFwbUao3+v1dl+oSon2AZE7Po5VnzI+GuT49iNN88L4TRfFQUKMgCGg0GoaGhvB4PKyuruLT1EmWzPzbR7t4LAa0gqZrjUQvUN4Txb51LXoBFoMW4sDDrTTXG6ve9kyf9vTkfqBqlZLFajOpe8h1WPwdDofxeDwUf/oJqy/W0cjjXB12H/n32kXRrVUepzm3ck1kuyWiwNVIxf7ulLeRJZbH08cooVQV2U4fRAG4LXrmgvZTuW91WoF5u8DDn/yUzPpT3P/tfwNu5XMkCAI2m42RkREePHjA6Ogoo6Ojff8b3wRckKGvGF93CnWhUCAajZJIJDCZTAQCAUZHR89snfwqX4e6LvsPT+OE7EYcZl1To3JWEpQqKtqEdLFGoSoxaNdyZ9zdUbcz5jU31nYFbo3qjr1Zik09hlLHYTfpzlSeqkInaJjyW/joVbIRKGdolr6mMeK36c9MhHLlA2u/oAGXQUZfyZDfTiKZzQSDQX783VFWtnMk6gaK795x9+5dNjY2MJlMvP/++1y/fh2r1doU/2bLdXYyVVKlOlqtllGfrTl1qVarbG9vE4lEAAgEAiQSCQYGBgiFQofOrdS4qbTqeC4POojlqmynSmzsFxn3nTxlbYq/z2Gt1q4tWgw7KFZFKjUJSepPcKpqvfYb13560Md35gbYfPOKd6+eMz8/33T6qP1qKilqnRJZLBamFq7wl58+YDu6g+AIYRxw8f05/6mSxNXziucrzbC/4RNWh62QZRmLQcvVgJN7G0n+4kkEl0X5LJwl06dTCeuEz3osmTWZTIScZsw+L3e/XKVUHOeDuSE0Gs0RUbSrQ5VHP+g0pRpulNequDbs5G9Xs7xOiSxVxWPXbtlSjc1U6cR+tF5R2Nkj89NPqD96zGC1hnlpHloezlVbvc/nw+Vy8fLlS3Z3dxkZGTnVv/d3GRdk6CvG1zEZUpN39/f3MRqNBAIBRkZGznXU+VWSIdVdFs1WsRm13BxxnpkEHRYvK1Zwg0uikM91tfILGg2zQRsrW0p56GwHoWynOo65oPXU4W3tx27NWKmKMteHnU2LbiZy+joOUIjhZsPVJok1DLU82nIKTEbcgQAzkwdTQ1mWqSW2+Jf/5hO0pRQBj5Pvfe97XLlypXmzliSJdFlkJ1MlWxaVOhW/jbDLhCBLxONKFlCtViMYDLK0tNTMF6rVajx//pxEIsHs7CxlkeaUSgMEHMbmRAmUCaIa9qfWq3S+hhJ7mQpbSXUaoWVhwH6qSd1x2iJRknm8k+VZRNVidP/9K1oZpTg1U6p3FFgvLS0RjUZZXl5mZmammRqsOs7q9TrVahVBEEiVlf63bLkOejPfXQwRj+5RyEq8jJq5MuTsabrRScNzmrA/aOjDRMgli5RrYjPs88P5AO5TfDbOMrlRDSvXZ8ewO5z8zYPnRGL7zEyMsV9Uynz9duV36Thlgnwir+iLjptSqTDptcwHTHyW1vBwK82NEdchjVR7bUmv/WhdIctknr0i9zcfI716DTod2mtX8f3qt7CEDz98tGYM6XQ6FhYWvmkrsp7xy/mqvyJ0stF/VWSoWCw2V2B6vZ5AIMC1a9e+sjfyVz3hcpr1LAzY2E6VSZfqfXd9wcFNp9V1Nt0QtAoaDYlE8UQy4TDpDtZlNkOT5HQrTz1tHUcrOh37B/N+XsYLxAtVhj1mBI3mVASxeSNOlUjmyhRyGQzVLH6LQHgghN8/eihzRBRF1tbWuHv3LvuJBMgmRq9+ix999yY+u0JANBoNiaLIVrpEsSo1ROJWQnYDqWSC52uvKRaL+P1+ZmZmmq3zrdDr9SwtLfFiY5v/46/v4wgMYrfZGHSZGfF0tsfPBq2Iksx6XLEth1uqKVSNi3oNXX2mTreiVVuk6MqOnpNW0HBp0M7DrSxru1kuDzmO2MHV6dRWQ0emXqduAutgMIjL5WJtbY39/X2mpqaaNyqNoCWarfJ2P09FlLGbDcwGbQTqBgbDbm7Pj/HZw2fcf/wUsT7FjXF/1/dLey+XSScw3ejlOo2GJ1mo8jRaolDX4PdVmQ3ZuTbi4mU0z5tEkatmfc/TuPOY3LR+B3sdVsIjY3y5vsfzvcf8+o1pFkeDfeUqHRz3aJ9Zr9Z9k07DQtBCWpJZ2c5wfVhZI0Za3H5n/T1ItTqpLx5S+OgTiETBYsXwn/0qnu++j8HZOWW/U+DiL6uQ+oIMnSPMZjOlUunQl/95kqFSqUQsFiMejzcJUOuT+leJr2Pdp67Lnkfz3OrgLuuG9lBAs6Gz66zX1zDmNbOfr/IiVuDKoJa9TLlreepZ0J5yfeTYGg2ruzm2UmVGPea+ilqlhqD77X6e3XiSUi6DzyRzdSRIKDiK0Xi4y6larfLw4UPu37/fzAj6zR/9iImpaZ7sFXi5X8VkMlOqKcRNFQ7PBq3o6wViu2/Yzmbxer2MjY0d21F3aFJSMxMcGqMY3yLs8DPl93T9OY1Gw/yAjbok8SKSR6vR4DDr2EqW2MuUz5Q63dr4niv3pi3SCQKXhxw83MrwZCfH1WEHDpP+yHTKatQyP2Br5jMdB6PRyLVr19je3mZ5eZmpmVlykqHZLWcz6phymfCYtej1OlINF5AgCHz7+iJO9x4fPXxOMZ/n20tjhx7MOvVynVbD076+ylfqjPlsXJ30NK+XThBY28uyupvlUthx7L/Rbmc/y+SmLoqkK3D/bYp8pY7LYuA7C8MUSmX2djaxidmeS0zhfPrMRFHEYdYzEnTw4F2av1yL4jAruVsOk44J3+ncfgC1QpHkx59T+fRzyOXA58PyOz/G894NBMPx1+8iffoAF2ToHGGxWI6QobOSCLXaIB6PIwgCwWDwayNArfg6yFBrGON6vNBxTdUKWZaJ5qpNXYjFcLx4uVcyIWiUYMSfPN/n7X6RsMt0bHlqv2hveA/YjYy4TUeO7bMZ8NsNvEsU8TW0SCedvyjJ7KSKrG3GiO4n0Uk15od9zF9a6OhoLBaLPHjwgOXlZYrFIkNDQ3z44YeMj483y0UvDxv46csE/9fDCCNuM367gaAJqtko754pCdPhcJiFhYVjv8yllqwadVKiTO68aOZDvHnzhi+//JLFxcVDdR2tEDQalsIO7m2k+I9PY7gsOpwmPUGHiWGPqblW6xWS3HA6JUuUqiJmg5aZoI2Qw9jTNMOgFbgy5ODLzQwP3mXw2w2kirXmdGo2ZOtZjK9Co9HgC4VJSib+zWdPsdudzE8MMdpSACpJUnN11opL4wOYLVY+fviSdCrBD96/gqzRHukfO62Gp9v6qqDNYLcdJo5Bh5G6ZONFNM/TSI7FgaMEud3OHm7Y2U8zuamLEruZMuvRDO9yEk5Zbq7WNBp4upcjYjKSFbPcu3ePhYUFXC5X1+OVGoGQe41AyLNpnyQqIkSzFYpVkY1EkbDTxK/N+fBajScfoAPK0X1SP/uU2vKXUK2iGR/D/vd/G+elOTQ95tpdkKEDXJChc4SaQu3z+Zp/ptVqqdfrfR2nUqkQi8WIxWIIgkAgEODSpUsYDGfXpZwWX5cQ3GnWM+w2sdUIY+z0xdPJwdWL4FpN9j0OqsMqmqug1Sg6nmm/Mgo/KwpqtlEjLTrUsHYf1wU27beSbrTKu+jeWl+p1Xm2GeXpuxj5Upmw18mvXZ5gJNjZfZXNZrl//z4rKytUKhWmpqZ47733GB4ePtCpSPA2qayezDotWrlOLBbBki5ictkJhULMzMycGCiq9k1tNmourA0dj99uaJmUaJiamiKZTB4qOG1HqnhAfmuiRKEqcWfMRtDR3++n1rhxbqcOBPCLYfupKhFECawGLY+2MzyLwO0xF9ODtlOtUHPlOlspVTul4VvXlqhnIlQjrzB4FgB9M5IgFothtVrR6XSHbmpTQQfytTmWX+7wv/x/dxkZHlICVfvoH2tHe+WDs2199SreudJh0GVGlGRexwvoBA1zIXvHAMeTMnOOQ3vZrEmrYdpj4M6Y+9DvUg1D3C84GZ/w8PLlS5xOZzNlX8V5i5hTxSprkQKZikRAqjATtHFp0MFGoshOuozH0t97Lvf6LZm//QRp7SmgQXt5Edev/QrW0cG+z+2CDB3gggydIzqlUGu1WiqVyok/W61WmwQIFMfN0tLSkXXGzwtfpytuzGshUVAIwK3Rg+6ybg6u48SrrWgNXWxHa3mqBqU89eaIk9W9HJupEgGH8VQdanC4k0w4puG9Ewy6g1b5SkXE3rL6l2WZWCLJkzd7vI1nsdjsjA+FmB/y4upSZ5BIJPjss89YW1tDkiTm5+d57733CAaDzW6sYlVkK1EkkilTrlYRylkM5TSLFiP7ONC6Bpkec59Ye1FV1wuNFY/TrGM2ePykxOPxcPPmTZ49e9YUVwuCcGiFZdAJTAetfDDpZnU3x4toAbNB29NqrFIX2UqVlSweScZj1TN8Sm1Re/XGe+MeEoUqNVHGpO/vpq5OSDpWi4QdxONxlpeXEQQBi8XCwMAAt2/fRqvVKlUPLRb8TLlOoVKnqjNTtw+Q2I8zbCgxOznXt6awUFHImWq193dJYz4utG/EY6EmyryJF9hvuNWO6/jqFe1OLnW1JogVXhe1R85HEDQshh082s7wNlNjaf4yhUSEe/fuMT8/T01rboqYzxoI2Z5flC3XGfVYuNYSuqjXCryM5XkWyTEf6r5WBpBFkfTDNfI/+wR5cwuMRgzf/gD3976F0dtf3EQrOgUCX2iGLnBmdOonO45EqOWWsVgMSZIIBAIsLi7+whCgVqhful/LvyVomA1aebitrMsm/dbmaL5aV26qp3FwdVozdStPVb+wTtuhBodt/Z06yXqF2ir/Il5nwF3HmM2yuRPh+U6CitaCy+Xi/WsjjHotXesMtre3uXv3Li9fvkQQBK5evcqdO3fwer3Np2LFcl9gN5UnnU4jlDOEbDrGhgYIBCbR6/XkynVWtjI83MpybdjZ8UlesaKX2c2Uj6256Aa9Xs+lS5fY3tnhLz+6hzkwgkZnaq6wVEE80FxRPdrONks6O6FQrbOVLBPNlhuZSspN/TRTkuOqN7LlGg+3ssr1GXFiOOZ3rQZ1bqUOSN5EowBXr1UcZLu7u0QiEURRZGRkhFwuhyiKeL3e5hO9IAhotVoiGaXotFgDo0HHdyY9ZEp1kkUXkpzn/v37J66GVKSLNTZTxUYEwMlpzMdVDlXryvdGPF8hlqswHbRxe9R96uiMk/KGcrly12mHVtBwedDBylaGtb08l8Jhano7//ena+gtNsaGB88kYq43J44Ha8TZoI28Jo3LaTn0eVFrXt7sF9AJQseaF7FcIfnZF5Q+/gxSKXC7Mf3mb+D54BY689mn1aIo/kJWRf08cEGGzhHdJkOtAuparXao3dvv9zM/P99VI/GLgvPuJjsJTrOeIZdJKRvcL2LSa3Fb9SyEzKcuNmwlpieVpx46jx5LVOGweyvbYuvv1knWKwZtGh7k8/zkYYKgywZmJ76R6WNvUqIo8vbtWz799FM2NzcxGo188MEH3Llzp9mLpV6L9ViWt3sJspkUHiNcGw0yPDhxhJjbTTouDzl4tK0UqV4ddjavmboGVK3oAbvxVDordYW1U7EgeEfY2dpiYcTPtdGJI1/cRp2Wq8NOVjYzPNxWCFrrtWjP9RlwKlO5fisWVL3TVrJ0bPWGw6Tn8qAyfXi8neXKkOPIe0psiVBoCtFDik4JWSaRSLC3t0exWCQQCDA3N3dI7xWPx3nw4AFTU1N4vD4i2TJbqTKlqohBC+MeA2GXBaNBD2h4vJMlVdQwMeXhxYsXeDyejvU7nQpdx7yWto61zujUfN4+VVoKOyjVRApVkUpd6osIdaqj6ObkOukGr9MKLAzY+atnMf78wTajHguLC/OQ36cee4kreKlvItQtdFFdI76MdV4jjnkt1ERlBamI9pUHrkoyTepnn1G99wWUy2iGhrD+8NdxX1tCc45rrXq9/ktrpW/HxVU4R3SaDGm1Wmq1Gnt7e8RiMWq1Gn6/n7m5Oczmzlkpv4j4usMjAcZ9loaVtcSHY66+hajt0Gg0pMsiK1uZnspTm+fhtbCfP3C5dRrpt9dxmE5ZJtuKUqnUzI+qokOj1RKvOvHZ/VwK27uu2tQMn3v37hGJRLDb7Xz44YfcuHGjSW5kWSaWLfNkI8JmdB+5XmNuyMeHS4s47McL111mPUthO6s7WZ7sZBn1WthNl5trwEGXue+aC2jVpRyssOZCAVxLYdbX13n48GGzMqAVZr2WK0PK0/7D7Qw3RpzkyoqOpHtxam9oOsNa9E4nOcNcFj1Lgw6eNK7PlUYlxEGqdol6Y204FbDitejJZrO8eL5BOp3G4/Ec68jz+/1YbHY+erBGqrZDMBTGZTUwGbbjsxmQZbkZ1GgwGLg06ODhdoaNdJ1Li1fJxHa4f/8+S0tL2Gw2REk+ZPE+TaGrJB2Qm1SxylayxH7h6FRJkmRWd7O8jOXRN8pDj0OtRbCt1lHMh+wEj3FyHTelak3YNum1OEw6BA0shh1YjR5yuQHW1tbw+/1NE8FxUKapxUMPAO2hi3C8NmfKb6Uuymwkikh7EcxfLlN//AQkCWFuDsevfgfHzPix53FaiKL4C/8g/nXhggydI1onQ/V6nXg8zt7eHvl8HovFwvT09M+1o+ws6MfWfV4QNBoWB+zURMX2fFoypNqmX0fzvErWmPNKPZWnqlBdbp1KVJtJx6kSpapys5wL2U7do1atVolGo8RiMbRaLQa7B3wTVKsyzvo+RrMGl1nHoMt0iAhJkkSlUmFtbY179+41b6o/+tGPuHLlSvPpry6KvNiM8uRthFSuiN/t5NtL40wOePvSbXitBoIOE5+uJ3i4lWUyYFFKY12mY1dDnVBsuHYime4rrOnpaRKJBCsrK0xOThIIBA4dw2rUcWnQwd++3OdfL+8QdijuvONyfY5Dp9yimYCt54Rxr9XAwoCdtd0cDzbTOEw6otkKkkxzbagTK0QiW7yOx3E4HIRCIebm5o49fqkmKlEC2QpG/wjBUgZ5f52p8AJOu0J01Z9X3xNarZalARuPdnKs7ua4MjSMz+dj5dFjNDYfksVDXTqbxVuSJBLFOq8zKbLlOnqtwLjXwmAbAW3V7bSWh7ajfdLSTx1FJzLUvvZTE7Y1Gg1fbqYbJNqF3W7n9u3bbGxsHCKMrWgPqzzQeJm7PgAcR9A0wEB8i+L/+1NKm2/R2y3ob97A9avfxhzyn/h6z4KLnKEDXJChBtQnMVWEuLy83PcxBEHg7t27/It/8S+4ceMGv/d7v8fY2Bg7OzuMjY2d/0l/jfh5fUAUd9nREMRe0D6t0Wlg2C5wZ6z/bi+XRU/YpazL/DYDNqOO3YyynlDF3Evh09VxtK5OZVnG7/cTGp9lL18nXRYxaDRM+s2IRjOSRmC7KvAyVmBpwIYoilQqFR4/fszy8jL5fJ6BgQG+//3vMzc313TQJZIpHq9v8yaawWCxMRTw873rfoIOY1/n297UHnQYKdUkXGZ9MwupV7QLkEMn6FK8Xi83btzg6dOnJBIJZmZmFLdmy/RG0Gio1CUk4Mao80SRdzuKVeUmrOYWqdlPp3GGmfQCGg18vpHCZdZza9RF0CqQTcZ5+SSGwWBgYGCA8fHxEx092XKNrWSZeL4lodttxmr0UyyGWVtbw+PxNKcZ6n9qXYpGI3M5bGdlO8vyuxRem4Gad4rtnR0MYoLv3Vwi5OkczHcc1Fb7x9EKLrGIx2E7caqk6nYebmca5EzTDKzsNGnp1wGnEo/2tV+3hO2rQ06+3EqzsqUQIoNOYHJyEr/fz5MnTwiFQoyNjSHLHCqcNTbMDQPOk3WAnUiHVK2Ruv8lhZ99CvE4PpsN42/9AO+vvI/e1p8+8bRoP69fViIEF631TYyNjbG8vHzIFt8LCoUCf/EXf8Gf//mf8+DBA65cucIf/dEfce3/Z+89ghtL8PTO34P33pIEvWcyfWVWZVVXd5c0vT3dmm31anZ3ZmJnD3OYOSh0UoROCkXopNBV19VBN4ViQwppZhXTGkVPd5k0lYaZTJpMMh09AZLw3r23h8cHAiBIAixWJbua3xGZBB9A4L3v/f+fuXYNkO/0FxcXuXr16rdx2N8pHj16xAcffPCd/15Rkni8mqQqSdzstZ944mllve91GnEZVczNzXH9+vVTHUdFlHjwLk4sW8Zp1FCVZJLU6zR0LOauVqvs7e0RiUQolUp4vV48Xi+psqo2ZZLb0A21lczGxob8swYHr3ayhKwCW68Xavb4/v5+7ty5w8CAPFLPZDKsb26ztLFLVjBiszvp9jro95g7nrK1ssf3uoz4rHo2EwVe72Tx2/RMBCwnnlAVAWx8f4XV7TB0tMJSmttX1zewdw0RL6tqa6delwmQWNhKYzVoaiuqk3DQ1yaTjdPmFjW/PrVKQBSrhHdj6Mopeq0qAoEAfr+/raywaFZeOSnP1e0w0OM8nNAtiiIrKytEo1EmJycbss5EUZSrU3IlVuNFHq0lAYE7gy5G/BaKmSQvX75kYGCArq6utl5js9V+d2OVW1OD9PudbV9QSxWRp+sJChWRfpeJWK5Ue51K3lCnq1aAja1tVneSqGy+2tov5DQeS9ASuTKzG0mMOjXX6nRwoijycvk1y5tRLP5eVFodVr2GXpexo7DKZ8+eMTIygtlsppTKEP/yAcV7X0M2g+D3Y/r0Ds5b11Fpv9v5xPz8PKFQCLvdDshk6H1GuHxLuGit/7bx7/7dv+M//If/wM9//nP+9b/+18zPz7O8vFwjQvD+Wuu/T5A7w2R32VGdYXBwl1o/rakvT61Wq6de9clrkwLpgiwS1npN3Bl0djQxEEWRWCxGJBKp5VENDQ2hN5rYThaYDcvHbTE05iaJokhl/zOUSqXwG40sP73Hf52fw2/RMDUxzp07d+ju7iaXy/Hu3Ts2tiOkJT1VvR1b9wjDNkNHji4F5arIZp093mbUHFoXhZxylsy7vRwaldDSFVN/l54uVOQqA6+ZLkfnK6xCRSSndZAxw/zcKwa7PNwc72+ow5gIyiF781spprttR04Cm4lLyGlsSTZOQrPAWqsGh6qAlNmjXCrSZXGQV/dg99vpOcGV2EqsfdJ7pVKpGBwcxOPxMDc3R3d3Nz09PfJrzMlC5ni2iAq4M+AglquQL1fRqAQsbje3bt3ixYsX7OzsMDk5eeQFsVkUrbTav8tt4LcZOposaFSyZujvX+4wt5FkPGhlZL/brlPHJRxUecytpcmXKow45fetnewoh0nLdLeN55spnm+muNpjp1gRWYvl2FW50Dj1bK+95fJgF5f7BjvPoqpWKe3FSf63/0Fl5hlUygjDw9h+9DH2qTF4TxOZi5yhA1yQoX0IgsBPfvITBEHgr/7qr/jLv/zLE3/mL/7iL/hn/+yf1b4YKysrh9xk70N4/H1E/brMY9E1TDbaLU89je6pUK6yFi/U9Cx9LiNBu55Err0gTUmSiMfjRCIR0uk0TqeTUCiE1WqlIkpyD1M4ftCntX/cyt28vOKQe8k0Gg13796VVyIeLwPDY1y6/gF3xrpIxvZ4+PAhVUFD2eCg7BrErFaf2tFVrFRZix3Y493766KjyFS/20RFlFiP5dGoBQb3XTGyOFdeYSkJz4pzqtNVZX1xqgD0+ux8PPoBm6tvWVlawDQ5WROI+6x6KqLEUjjD4nZj+nHzqu+bELP6FV2hXEUs5tGVkgilNGaPh+DwEBaLPC17tZNhY9811O8+rB2siCJbiSIb8c5rPBTYbDY++OADlpaX+fX9GYzeECVRJad9+634rTpUSKQLZebDuYPVkFbL5cuXCYfDPHr0iLGxsYYp+VGaG+Vz1cpNdhSa6y2GvWYS+Qp6tQqfVd8xEaqv8hAlCateYMhlYrrv5AiBerj2dV4P38VZiWMcRBgAACAASURBVGaxG7VoVCoCNj03+hwYr/Tw+vVrHj16xKVLl9rTf0oSqVfvKP/XX5FMplFpNagvX8bxDz7B3NPeFO7bxMWa7AAXZGgfX331Fd3d3ezs7PAHf/AHjI+P8+mnnx77M83CulbW+t/nD9dZo99tJJotsRTJ8kGf/NGtLzh1mWXdylHTmk7IUH0Stbw20df0LBVR4tFqgqVIlpt99kMXKkmSSKVSRCIR4nG5rqJeHFusiLzZyzV0koWcBqx6tdwWXy7Xnkuj0RAOh3nw4AHLy8totVp++MMfYrfb8QR7eLYe46/3olwZ8KPxD5EtSKhUAr12/anWDNnSPuGorwpxGY/ML6qH4opZjeaRJFkbspmo11RZT5Uto6ROtwwkBMbGxtjb22NmZobh4WG8Xll02mU3yOnHO1leqjKMeM37mg951WfS7YvdT0HM6gXW6UyOSk4uwA157QQHu3E6D6+Lhr1mKvsTNGUKBTLx3NjPZfomNR6gxBIUSej85HRJNpZfcXOin8mBrobXaDMKjHtF5sM5Ztbi3OhzolXLKzylLDYSieDuHmAjWappbo6y2te7yY5CYT8peqtOFD0RsOIy68gUKsysy0Lm6yF7W0GHzVUeimttL5zv+DN2kPmUo1Cpsp0sYtFr+MGQs+FYxsbGiMfjPHv2jJ6eHkKhUMvfJVWrxJ/Mkf38S6TNLTTpNLqf/yGez36AzmHr6Ni+TVxMhg5wQYb20d0tR5n7fD5++ctf8vDhwxPJUDNaWeu/bzguafbbhrwus/B0PckXr2No1aoamehrI0CvneM+0I4oNnH5BFvv3NKoBMZ8Zp5vplmJ5hn0yHeImUyGSCRCNBrFYrHg9/sZHh6u3TErrqn6TrIeu27fcizW1qlKEvTKygr37t1jbW0Ng8HAnTt36O/vJ5FIUCwWySai9LrtrFZsfL0jMeqX6Heb6HZ27uhqyONRCXTtp2QfVxXSCv1uAyuxHH+7sEPApmfEZ6YvaO04G6p5rdYcSNgMj8eDzWZjYWGBaDRaK+IMOY3ky1Vm1uTcH59Vj73Fqq9dKH/D1d0UsVgcCklCTiMjw914PJPHTkcEQXYlVqoyQStVRcoVqSEIMuQydFwyC/vuq0Rjsvb4RDfWKz28ePGCF4sJxsbGaq5CtVqN22pkErkM+NlanOt9LtQqAa1Oj29ggpnlNT7/7WNGhgaY6PEcq7k5bjLUjijasq/verYfj3C919Hy79yc7NyqykMUxba7G5u71oxaNR8OuChXRd5Fc7yL5hgPNArLnU4nt2/fZnl5mcePH3Pp0qVaTEollyd29yGFr+5DMglOJ8Zf/COKQpngD3947m6OL8jQAS7IELIIWhRFrFYr2WyWv/u7v+Nf/at/1fHzmEymQ5Oh7xOUycr7/ELbDBpCTiN338YY9pi4fEzqcCdoDmHsdcnTh6NG9i6zjqBdz+tIklwsTD4ZxWAw4Pf76e/vbzjBNBCs/eC/brsOjSDVNEFKirAgCLx8+ZL79+8TDocxm83cuHEDn89HqVRCFEVGRkbISVpWoznW1zYpJLZw+rsw6dSEXIaOVj3NacqnJVP1Cc86tUDIKV+cAjZDR0RIlKTa2qm+OLU+dfoo6HQ6rl69Wmt8HxodJ1ZSs50qUhUlylURl0XLlW57R68NZLL4bjfNq40dkokEbqOKmwNB+rpHOypNFgSBbqeB5Z0Mc1sp+t0mxv2WUwVBQuPqEA5ybuqJxvT0NOFwmMePHzM2NobTKdc3qFQq/HYTogQLWykevt3FYzUQTpcpV0W6g36u9PsJryxRiBYR7IMcpUVtNRmKZkqsxXNNeqyjp5V244FuZ3YjxdUeWy38sFWys1LC2ixiPs7GrkDRF9V3rY34GvsNRQlWYzm0anmNWg+1Ws3ExASxWIyZmRm6bA70S2+pPHoCxSJCXy+WX/wcx5VJBLWaV/funTsiBO29V78vuCBDQCQS4Ze//CUg5wP92Z/9GT/96U87fh6z2Uw+nz/rwzs3UPRP7/vL0+82spcxUxE5VbFjPRQyoIQwDu5n5RwXwqgU6SbCEXaSILqcfHb1Krqmi2I8JydRKwQr5NQTsGjRqgUEAVQqdY0AiaLI8+fPuX//PrFYDKPRyOTkJF6vF6/XSzAYxGyxEE6VmN/Nky8VMOrU/PDKMPpqjkfPX7K9W2FerWK623asg6qVZua0eTytEp5DLiM6tYq5zRQvwmlUKnnqcRwUofY3XasJgoDDGyRS0vGfv1rA7XYxNdDNjV4b6/EC4X2ipayojoMSTDm/EmZlexepUmEs5OF/uXwZm6WzvDAl60pJJveadRg0avRaFR6LrmMiVL86PCnoUhAEgsEgDoeDxcVFbDZbQwK13aRHr9Vw900Mm0HDBwNu+j3WmiC913eQuzM9Pd3gVFOgnBdEUdoPSs2R7dB+DvJNxlTQyvxWirmtFGN+C1uJwpHJzq1w3DmqVZ9ZyNl6tT60v9ZcjcnGgL4WOi9dKkfvi3ck7j8gWang+OhDPH/wYyxDfSe+1vOC+vfxPBK27woXZAgYHBxkdnb2Gz/PcWuy9z1ROQucFzG4SpDbr5+uJ3mzm2M8cHxicjOUFcxqTM4f0mtVjPjktOijSES5XK4V6UqShM/n49qVywyXYW4zzUayzKBHe6iOQ6OCkENL0CYLQ+snQCqVimKxyMzMDA8fPmRvbw+j0cjw8DCXLl2iq6sLp9NJVZLYTBSYe5c4gigY+OzOTb54PMf8qwwCfUz3HNYy1ScNF76hZua4fi4Fl7qtPFtPsbiV5nJdlkw9WhWn9gYtLf/vSWgsO9Xw2a1p8nsbFCNv0LknGfdbahoixb7dClVRZGktwvxKmGgqi8dh55NLgwx1uTomi82TroNkcgOiJPFsPcncVporPbYTnX6tuswGPKa2++6MRiPXr19ndXWVx48f0zM4SqykquU8XQ05yJUqIFYwaw5IhUol5+54PB5mZ2dbamXKVZG1mBySWKyIWPQaJgNWWfzdYQ2NUrj61Zsoz9aT9LmMctRBi2TnVmhFhhqmVC36zI7CqM9MpSryZi+7HwNhRBJFks9fkP7tl0grq6DX4/npTxCuTPJmN4LWoMH8PTjf/77hggydIVoJqOHAXv+73gFzXsgQHKzL1mJ5vFZdW2JTUZKI5kUeriZqOT7jAfORbp1KpVLLAiqXy/h8vkM9cm4dBGx6VmM5JEkiliuTLpTRqwX6nToCNgNajbohCA/k1eyjR4+4d+8e0WgUu93Oxx9/zPXr1/F4PKhUKkoVWbdQLxA/iijodDr+wUfXebT4hgezi1QrI1zr9yAIQsupy7DPjOeYu+tW6HSipFGpajUZzzfTXO2x1e7Av4lQu/mYmi37Ddoi/0Sty2t0dJTJoIs5McVSOINGJeCzHtSTxJMpnr/Z4PV2HJ3RTI/fww+ujeO3GTomi63e86kua4PNW43AlR47M+tJ5vbt3K10b82VIKZv4MgDMHuClAo6/ub+Al63mysjPYScconoSjTH290My5E0Iz4LWq32YIJkt9e0Mk+ePOHSpUtIKi0biTwLUZFKNIfLpGMiYOw4d0tBPWmxGDTkSyJOk+zyavezWj+lkp2MB1Oqo/rMjoIgCEwErFRFiZdrMbIPXmN4/Aj2omC1YvjDn+D85DZaszw18gz28/LlSyKRyLkt3b5Aa/xuX53PGYxGI4VC4dDj32Xj+7eJ80SG4LC77KgTXFWU2E4VWIsVWE9LeFRCQ45PPURRJBqNEolEyOfzeDyeY2tUqqKEUavi7W6OV5EMU0EzY145jFCtVtfE0AoSiQRffPEF9+/fJ5lMMjQ0xJ//+Z8zPT1d0xnly1XWdzO1FGSvVba1nySsFQSBW1PDmCxWvppdJplKE+ryN0xdTiNmblUs2u5ESatWCJGc3zLoMRHLlr+xULvVlOsoguD1ehvE1ZODQ8xtpVncTlMuFknHd1lcjZCRdNjsTq5fnqLP3XkwJSiOqYNIgpPec51GxdUeGzPrSWY3klzrtdeCHpsrQexGDSOnILEH71fdhEpn4Kd3rpDb3SSxtkS3dQo0hv3iUIn1WBaNOkef04BOp6t9NhWtzLvNMP/5N48wOv04nU4ceoFbfU4sHSRFK2i1WpNJi5uNeJ530RyvdrIt86taoViuspEs8SIeo1T9ZlMqgEo6g+fJfap/fw8qBYRQN+Y/+WMcN64cCknUaDRcunSJ3d1dHj9+zODgIIFAoOPf+V3gu65XOu+4IENnCCUCvtXj34fgxfNGhlT77pyZI9Zlis1YCQy0GzUM2lXc7G3MHxFFkUQiUcsCcrlc9PX11fJhWqFcFdmI5+WslFKVXqeebKlKwGagx209NKbf3NzkV7/6FU+fPkWlUnH9+nV++tOfNpwom3N0/DYDva7OhbWDQQ+baZFfL6ziWo3yB9dHGPBaOp66NAcuKsWinV6MdWoVPQ4Dv17aZW4zxajfwpDHfCqhdknJqKkLgWznmPR6PdeuXWNtbY0njx/hcLl5+nqP+3kIeR0Eu4cYs5tO7eZqJWRud9Jl0Kq52mPn6XqS2fUUYwEzu+kykdQBGT5K13ISmt+vQxMq9xixWIynT58yMDBAIBBg2GuiIopsJIroNGqCVmrEPp6v7HdyqQn2j5Df28SSzdFrFTomQvWfr6NIy4BH1u2sxxvzq1pBcfo9Cxdwu0v0eE30uk4/pcpthUn8/VdUns1CpYJ3bATbZz/ANjZ8Ykii1+vF4XDw8uVLwuHwuSQerRyAv8+rvQsydMZo9aH/vqRQn8cJl7VuXeax6PBYdLW06Pr2cyV/6OG2/HOtsoCCweCJRZmFUqWhhsBl0jIVsOK2GngZybKVLtLlErHoVVQqFWZnZ/n1r3/NysoKDoeDn/3sZ3z88ce1+HuARL7MajR3ZI5Ou6jv+jLotHw6PcBeNMbb5RcMOKZB396ddfN046TAxaOg1KKs73fDhZxGUvkKBo2KoF3fERHK7xd3KtlMnR5TtVplZ2eHWCxGuiSyvLyFweLGZbWgMmi41O3Ab+t8pdGoU1K0KK2FzMfBpFPT7zby90t7PN9MMew1Edrv0TqNy6y+0LU2oXKZWk6oXC4XN2/eZGlpid3dXcbHx2v6qrd7eVQCSGKR9USBUlXAqNcciKInAmxvbzM3N0c0GsXtdp98bPukZTtZoCpJuEy6Y0nLiE8+lpVoDq1KIORqnNImcmXW43KVikoQcOjhRq+NoKdz1yCSRPLFK9K//Qpx+RVoNGiuXsHx2SeYujqb8Gi1Wqanp9ne3mZ+fp5wOHyupkSVSuXCVl+HCzL0HeD7QobO64RLWZctbKfxWfXsZkqIoiSvl+psxpIkIYoir1+/JhaLtcwCagVRFMmV5KyU7aSscQnYjPR7zNjr9DsjPjPRTIG7i2sUNxaYefKETCaDx+PhT/7kT7h582Zt3VYTWsdyJPMVtGqhIzFsPZq7vhQxs1Yt8CJsYnXHym8ezXFtJER3d/eRZC9blKtG6qcbp0mvrmlcYvl9Ma2ayaAVr1VHtljl2UaSZxsprofsJ7oBm6dlBwWlJx+TUn8SDodJpVJorW7K5iAak4a+gEQ5EWZAiFO1d7O8k8GiV7f3vJLEbp126qQMpOPQ7DLzWXQkNVVMOg2DHlPHz3d0oevxr0ur1XLp0iUikUjNgj/is7MRz/M3c7t02fUErFqGPXoCdiO6Oi1RMBjkzZs3vHv3jp2dnVqBbjOS+X3Ski4iCAL+fSdXOxOlMb+FclXi1W4WtUom061KWHscBl7kNrAZO5sGieUKicfPyH5+FykcBpMZ/Wc/wvnDO+jsnRfY1sPlcmG324lEIkQiESYmJs5F/9dFxlAjLsjQGaPVheb7RIbO22QIDtZlX7yOsR5PcLPX0bBeyuVyRCIR9vb2KJVKWK3WtprCRVEklSuxniiwk5Y1Lj0uM/0eS8PduiiKxONxtra2ePHkOY8XX6GXSoyEAvzsZz/j6tWrtZOf0ju1VudkU9xF7RSKKmi362siIN9V7+iGeBuOEIvFmJiYaMjGSezb46O1oMmjbdrHoVnj0ipJ2WrQMN1tY3YjxexGkquh1sW7J6VOH/e+pFIptre3icfj2B0ONHYfKnMXmZKIXqNipFba6WVnZ4fF5dcULd3MbghcDdmPnMScpZD5kIan7nOQzJeZ2+/IutJjO9HBphDr9fiBu++0HWt+vx+dycIXTxbJSjq8/gAeixaNWmA0YMNh1Mg9W6USOp2uRohUKhU3btxgbW2Nr7/+mqmpKex2ewPZS+Zl0tK7T1raSZlWIAgCU0ErT9er3H0TxaLXoNeqMGrVjPgsBG36WiZRJ/Ef5WyO+JcPKNx9AOk0eNyYfvkLnB9eR60/G8KimGeuXLlSqzsZGRnB5/OdyfN/k+NqPgderMkucGZQq9VUKpUG59h5JRGd4jy/DqtBw0TAwpu9LB6LDpVYZm1tk52dHbRaLX6/n2vXrjE7O4vb7T6SCClJ0KlCRc4IylXRaNT0ey30uU21i4skSSSTScLhMHt7e+zs7PD27VsKhQI9Xiddo1f47M4NBr3yXWWr1vdOe6egdSjhcRdkQRCY6rIiShJxdRCVOs+TJ08YHx+nojEdmkx1OTrX8dRWMsn2NC4Oo5bpLuuhC36nqdP1yOVybG9vs7u7i9lsxuP1Y/CE2EoWKeZELHqByaAVn7VRW+Tz+bDZbDyenWc9mQIkbvQ5GkhEKyHzaROsT9TwsN+R1WVlYSvN/Gaayz2ti2ZFaZ9QxfLkSjKxPm1eFDROlexdA9iycYT4O/5gaoLXCbEWAWDTy+vyYrGIWq2unesEQaCvrw+3283zuTkwOcHioVCRMGhUjOyv1jQdfr7gICQxXaiQyJdJ5Mt8OuJm1HdY19cOGSrsRIn/9ivKj2egVEIY6Mf6T36B/fIEwhnnqImiWDvfBAIBXC4XCwsLhMPhQzcm3yUuJkONuCBDZwwla6heE3IxGfpu0GVVs7Sa5L/ffcekR0NXwM+VK1caTjatRO5KKaokSftBiQUyJQmtRsVIwNZAENLpdI0A6fV6IpEIL1++JJfL0dXVxUcffcTo6CgvI1lWY/LFQpJoECGf5kJariXwdh5KqBIELnXZmN1Islsw4ggM8t/uv8BgtRMK+hnxmY+tWjgKB8naB4LvkMtQc0Mdh/oL/ux+TcZmotBRmWuxWCQSiRAOh9FqtQQCAaavXmc7XeZVokBVzMu1FAHLsSJag8HAx7dusPDqLQ9eLlEuDfDRqJ9KVRbuhtskecehWcPjtsgr3KNcZl6LnjG/xMtwhoWtNJe6Dqzlzbb9+jVkpxOq5qnSQVK0Ab3GQyYTZHFxEafbS0Vt5/lGimshOQJAuXEol8u171SpIrJTEKi4h1nf3Ka6tcSn1ybp8ztONXVoLmH1WvRc6rLxNpojnCzitx5OOD82dPHNKonffIm4sAgIqKensH/2KZb+no6PrV1Uq9WG41GS0sPhMA8fPmR0dLTWp/dd4oIMNeKCDJ0xlKyhCzL03aBSqbC7u8vOzg6VSoV+uxutsReLy0J3izBGpVKkngBJkkQ0V2EjWSJXqmLQahgNGGt32Llcjo1wmJ2dHYxGI1arlVwux927dykWiwwMDHDnzh36+vpqJ/wBj5GVaI6/eR6h225gyGc+lQi5VBH3BdvfLJRQQi7GfL6ZYr5QYXJgCEN+D31yFV/oUkdEqFk0fNqVjMOoxaJX8/W7OCatmsku64kET/l7b29vU61W8fv9XL16lbKkYi2eZ3ktVcstaq6lOA6CIHBpdAi73cl/ubfI0laMgS4vOrWKwH4B6GmEzKfV8ICc5l0VJV7tZHkRztDvNrKZKNRE5N8koLLdqZLFYuHmzZu8ffsWae8Noi1UiwAwadWk02n5byFomN+Is5MpgyDgMeuYvj2OqpxnYWEBdTlET09P24RI0cHFco0lrMrfwGbU8mQtwfPNJNdDjgbdUTMZkqpVErOLZH77JdLaOuj1aD++g+vHH6N3Ozt+7zpF/WRIgZIKrkyJIpEI4+Pj32kW3QUZasQFGTpjtEqhPo8k4jQ4L6+jWq3WsoAKhcKhLCBDNMdqNI93312mQOlPKpVKMikCdjNlNpMlChUJo07NeFBOoi6XSmxtbBCJRFCr1QQCAYaGhnjy5Am/+tWvqFarjI2NcefOHYLBYO131NruUwUMWhXdDgMGrSz47IQIKTbhcPKgxLO3jTLaZpSqIpvxAhuJPJWqxGTAQiJfQatWMz0xQjGdqK3NlM6qVjgx3LADNLvVRn1mCvupxcdlP4XDYbLZLF6vl/HxcUwmE4l8mZe7B3qn0+YWSZLEXrbEblFFb/8Az15vUCnk+L9+NI3N3Dqp+rjnOisNT4/TSDJf4fFqgqfrSbodhlMHVMLBmq4+DPKkqZJKpWJ4eBiPJ8Hs/AvCgp2/DW/jJYXebKVqcFKwedlK5AnaDfR7LVgNyvdOx+3bt1laWmJmZoZLly4dGUQoivt6uniezBElrAp0GhXXQnaerCVqxa4KUVLIULVQJHbvEfkv70E8DnY7hp//FNfHt9CYTq5jOSs0T4bqoUQ+bG1t8fXXXzM+Pt6WI++sjutCM3SACzJ0xmhV1qpWqymXy+/piM4OKpVsF38fUETKkUiETCaD2+1mYGAAs9l86Avc5zKylymxvJPBqrehUQlUq1UEQcDlcvHi5RLu3hF2cxLF/QvCkM+IQy+wu7vL09dhRFEkEAhw5coV4vE49+/f58WLFwiCwPT0NB9++GHDSStdqLAay9WqDZSOLq1aYHZDrqSY7hZOzDxpXj2ddirRbEX37FvR7UYtxcpBi/u1kJNr164xPz+P0+lkcHCw4f1sDjdsd4XVCsdl8axEc7zby6FWCYz5LTVN1vb2NolEApfLRW9vLzabDYC9bIkXawlS31Dv1GpC8kG/i9uDLr5+ucnffPmEn96awO1ytfVc9VEC36TzDeTKk/V9l6BOo0KUJAI2/aEW9XaQK8mfh3qrfSdTpVKpRDqdxqhTY0nv8CKlIenpIqS3YNKqGXQYCdp0aFQgSWLDhVatVjM5OVkLIhwaGmqwmJcVHVVCdh+ajylhrYeSzzSznuTZeoLrvQ4MWjViOkvkv/4tpa8fQaGA0N2F+Q9/gvPGNMJ7mIS0mgzVQxAEuru7cbvdtSnR6Ojotz4lupgMNULoMAzq/CVHnTP803/6T/nlL3/J7du3a4/t7e2RSqUYHBx8j0f2zaFMYvr6vpsSQuWCGIlESCQSOJ1O/H4/Npvt2DsYURRJF8o8Xk3itWiZCFjkjCQEtpIlXqzvsLq+wcRgL1O9Xqo5WQhdLBbx+XwEAgGMRiPr6+vcu3eP169fo9PpuHbtGrdu3apdkKHR9SR3FxkOdXSVqyLP1pPkyuKRHVTN7qluh+FUk4SWVnSX8ZCOJ1eq8mw9CcDVkB2DRuDt27ckk0mmpqZQa3UNuhSbUUOvy3iq9ONErsxqLFcrFe2yG1q61d7sZlnejmMopzGUElitVoLBIE6nU55K7hOXtdiBA6vXZezYiQeHNVgWvZpel6lBYL2VLDC3HiMVWedqr6uh3LTVc23GC7UogZDL2LE4HloTqh6nkS6Hntc7ObaTBYa88sq1HSh29r1MqeM1XbVaZW9vj+3tbUqlEh6vD0xOItkq77b2WFwLMz3QxS9uDjT8LavVau1Cq9FoGt6zUqnE4uIiKpWK/uFRwulKLW/IadLS6zThtnS29ksXKsysJ9Ds7hJammX3N7/B63ajGhvF9tmn2EYGTgxJ/Daxvb1NLpdjaGjoxP8rSRKbm5usra0xPj6Oqw0Sflqsra2hUqno6TnQS+l0nX+/fwfQ1gu6IENnjH/xL/4FH3/8MZ999lntsXg8zt7eHiMjI+/xyL45dnd3yWQyDAwMfGu/Q5IkMpkMkYhsA7darfj9cuT/SV9S5SQM8t3WeqLIeqLIWMBKriTWVSRoMFYybK++AaC7u5tAIIDFIk8kXr9+zb1799jY2MBoNHLr1i1u3LiB0WisHePeftGr4noK7V+wjpoAlCoiM+tJylWRayE7Fr2m5fP0OA2nWj3VEw71/rroJCt6tljh6XoStUrgeq8dvUbN9s4ed2eX0LuCWCy2Y8P6jkPza9OqZXt8qxylQqFQy2DZzquoGuxcHQwy6JU1X616vnpdxgYHVrtQVnTbyQMNVsh5dODfWizP690MUiaGtZrk0qVLtXVsYd/hVF93ctxzHYd2CJUkSSxuZ9hJFxn1W+h2tF7fKSu/9VieZL6CRi0T0HbItSRJJBIJtre3SSaTeDweXF4/yYq6wU0XchmplEr87cMXOM16fv7hFDpto25H+S5qtdqGCUQyX2ZmeY3Fd5uEekIMd7vpdZpOVeWBJJFcWGL37z4n+2IZu83EhsvOjb/4vzEG3691XcHm5iblcpn+/v62fyafzzM/P4/FYjkyt+mb4t27dxgMhoY1//e0S62tk8TFmuyM0aqs9bxobb4pvs3Xkc1ma1lAJpMJv9/P4ODgiRbZ+pMuHNQGCILAkF9PopDgfyzuEHIYsGkqaApxcrE0BpeLy5cv16Z2PT09zM3N8eDBA3Z2drDZbPzkJz/hypUrDRlB9SuVTlZG9R1UT9eTdNkN7GZKNffUqN9C0N7ZJEG56K3F8g3ronaDG816DZd7bDxbT/HgbRynWUssC47uIVKRdZyGEtNdo21ntkBr6/+oX36P6qc3lUqFnZ0dtre3ayvJq1ev8oFWy4twhtVYARCoSjT0fJ1WMHzauoxel1FOP0ZAq7Xz/PlzPMEeSjp7w3N1ItauRytydpT7TRAEJoIWKqLIckQumq1PzW7OLurEap/NZmvRBDabjWAwSO/gCOuJAvM7ctCox9LsptPzj+5c5ov5Ff7fXz/kZx9O4nTIVTdKKXGlUqFUKqFSqUgU5YqPZL6MvHRerwAAIABJREFUxmTnxzedxDdeo0oWMfo6u1EUS2Xij56S++IeUiSCzmzB+o//EOcPPmRr/vm5IUJwvGboKBiNRm7evMn6+jpff/01k5OTOByOk3+wA1wkUDfiggydMVoJqC/cZK2hTAR2d3fR6XT4fD5u3LjRVhhi/fupUqlqBKjBRSJJ9JhhNhNnO5mhq9dJMNTVMGWyWCx88cUX/Mt/+S8xGAyEQiH+6I/+SF4V7R9Hc6Jyq2yYdqBRyy6bz19FmdtMcaXHfqrnaSZlhlMGN8rPBWqVwMxaEqNOzceDTgY8TvQTflZXV2vt5MpU7Ci0mt40O8NEUWRvb49wOEwul8Pv9zM5OXnouXucBl7vZvn/5iOEnEbG/JZTC4br14+nDZQc8MhdXS8jGQRTLy+Xt1ER4YOpIQa81o7DKUFe7azHOydnSkzC880UL8Jp1CoBm1FzYnZRK5RKJcLhcC2aIBgMMjAwQKoomwBiu8maKL3b0Vq35rMZ+Hiqn9k1K//z8UtuDHgZGBiofQ8FlZpIqsTqXoZ8RcRi1DfkDUndH7C6usrDhw+ZmppqWEG3QjmTJfbFA4r3H0A6A14v5j/+xzhvXUelez95PSdBFMVTZQkJgkBvby8ej4f5+XnsdjvDw8NnRmCaNUPfw/VYR7ggQ2eMVpOh7wsZOotuslKpxM7ODjs7O3Ikv/9wFlAr1FvhQf7iajSaQwQI5LvccDjM7u4uJpOJa/1ukmIXvh47Lot8J10oFHjy5AkPHz4kl8sxNjaGy+Xi+vXr9Pf3y66zJieW03RyZk3L19wU2jcVtJLIy+ssu1HT9kmoIopsJeTi2fqai+YgwZPQvEbRqgV+MOxmL1siXxbRqlUIgkB/fz8Oh4PZ2VkGBgbw+/2HnqtYqbIWa5xs1E9vJEkiHo/X1i6K8L1VCW49cbEaNAy4Teg1KrxWXUdEqFV442mrTiRJYiddIpErE8+WyRQrXBsaIGQosrH2koJpHEMHd+z11SnqU5IztUpgutvKg7dx/m5xB7tJi0mrPjG7CA50QFtbW5TL5ZpJQKvTsZMuMrOeqlWMtCtKD9oNVHpcvNJqeRePEY0+ZnR8knhJxWZCJmgWvYZBrx63SYNWq0Xh7MrnTLng+3w+BgYGDn028uFd4r/5isqTp1Apoxoawvp//G/YL42/Vz1QO6hWqxgMnTkS62EymfjgA5k01qd7n8VxXUyGDnBBhs4YFouFjY2NhsfOY8HpaXDayZCSDROJRKhWq/h8Pqampk7cTzcTIGUCpIzg61EoFAjvZwEpAXw3b95Eo9EgShJPVhMsR7Koq0WePn7EzMwMpVKJwcFB7ty5Q29vL5Ik8erVKx7NPMMSHGA3Wz3kxOoErZKZe11GbAYtyXyZZxspZjdSXA3Zj73gNJOp05IyRZy7VjdRqg9c3EkXWdxOM7+VYrpbTj12OBzcuHGDxcVFYrFYTb+QLcoJ3ZFU68lGJpNhe3ubvb292tplYmLi0EWulW5KIS6CQEdOPCXlez1+4Hw7zfoRWldv/INxD9FsiWimjMrt5MoVBwsLC7hcrpYX8Pr3fSctT/Iy+6Lo08YSwIEoOl+qki3K7s4bY3YC9qM1RM06oJGRESwWC+Wq/Do3NuIUK6evGAk55XXii6rEVt7A089ncbndjPUF6XWZaqYBZaqrTEuU77HFYuHWrVu8efOGhw8fMj09jcloJPXqHanffIn4cglUKjSXp7H/+BPMvd1Hvtbzhk7qQY6CQhq9Xi/z8/O4XEcL+tvFBRlqxAUZOmOYTCYKhULDY+e14LRTdEKGmrOAvF4vY2NjJ65bFPKj/B5BEGo6oOYvvjJlCofDADXdSXMJokoQmAha+X/+09/wn5ee4zZpmJyc5MMPPzyUEVS1dbGV2iH8ZIEbE4NMDnjbSlSuR7Ojy28zNHSlAdiNWi53W3m+keL5RoqrocMdVPVZQ81kqhO0O1HyWfVURImlcIbF7TRTQTn1WKvVcvnyZTY2NvjtvUdYAv3kRM3+2ukg16dQKLCyImczGQwGAoEAg4ODLU+4imV/PV44Vlt0udvGs/VkrQqilRNPmeApUwibUcOwz3wq51ur6o2RuucK2g3MbaZYjmSYDFq5fv06796948mTJ0xNTTV8vmtEY/99N+vVjAcs+E8RS9BKFD3kM/PhoIv5rRSvdrNYDZoGl1grHZBCSAvlKq93szXxt3O/R85l6rxiBOSpXqpQIZYtE8uKTAwP467sUd15i9EzWft/yndYqfPQ6XS1z4dKpWJkZIR4NMrj//Rf8KysY0kkwWhE9+knOH94B73r+CmcJEnnbt1zlqTDbDZz69YtVlZWalOik1aL7R7XeXvfvmtckKEzxu+zZkhpCY9EImSz2YaVyHHohAApU6ZwOEy5XMbn83Hp0qUTx9AWvYZej5ViYYzPfvgxt8ZCtX9L7heV7u0H9031Bfh01M/rpUVi+gqmNpNzmx1dJ5WLOk06prpszG+lmNtMc7nbhloltKy5aCZT7eA0E6Wu/dTj1ztZXggZJvZTvPeyJXYkK0VrN++W3jA92MXVoV5Ukkgkst1ASK9fv37k2rNVN9dxqdNatYor+1kyc5sprvbYa0LlWnbOPln0WHSETpHyDZAtVViPFYikjq/eqK82ebGd5lK3jaGhIRKJBLOzs/T39+P0eOVQySai4T6Fy6xVoeuIz0ygThR9NWTn6VqS2Y0UU34jydjuIR2QctFrpVU6rfhblCR203IaueIY/HjIRapQIZop4ekZxFjNMjMzw9DQUK2YVJnsiqJIqVSqWfDFQpHY3YcU7z6gLxYjLghsT08w/b//EpO9vQv+WUxhzhpnfUyCIDAwMFCbEnk8nrbMJs24mAw14sJaf8b48ssv+Y//8T/yb//tv214/NGjR3zwwQfv6ajOBkpGyNWrV2uPKSP4SCRCMpnE5XLh9/uxWq3HEohmAgQcSYCahbder5dAIIDZbO74NbzZzbIWyxNyGXGatKzFGlOC6zUS1WqVpaUlKpUKk5OTLUPQmh1dOo2cOt2JPiWSktdTWo2AWacmkat8o6yhs5gorURzvN3LoteoUauEhlwfl0HFwvwcuVwOnU5HIBAgEAgcS0ibQyDb0bfUo1CuMrOeRBQlhn1m9jKlWnZOJ51ozUjky6wrRFhoP+SyXBWZ3UiRLVVrE6t4Js+XT18SL4j09PQQdJhOTTSap13HxQlUq1VWN8N88WITxCqfjAXp7elqmJDWBziqVUq9RWdapfrXXj/xMunkGAC/VZ7qSZLEwnaa3XSJ8YAFt1HFixcv0Gg0jI2NNXyPRFEkvxcl+fl9xJlnCKUSQm8Iyw8/wXF1ir1YjOXlZYaHh1tq1g69b6USs7Oz5+pcOzc3R19f36knOMdBFEXevXvH7u4uU1NTWK3tB3J+/fXX3Lhxo/b3UKlU76009lvGhbX+faCVgPr7AuVuTpIk0ul0LQvIbrfj9/sZGxs7cYIiiiKVSqX2/1Qq1aFgNpBJRiwWIxwOk0qlcLvd9Pf3n0iyTsKQ10xVlJjfTFGsiIScxiPtx0py7vb2No8fP2442bTS35zG0SVJEioBihWRuc0MHouOO0NOuh3GjvUkqYI84VJSsE+bXl2uiggCRLNlthNp+j0mbvc70JSzhDffspZK4fF4cLvdRCIRXC7XkUSo2dLu7yD0rx4GrZpel5Ffv9zj+WaKMb+FfrfpVGSxVSRBv1vWKTXXPhwFrVrF5R4bT9eS3H0Tw2XSUiiL2P0hPOU05dhbursmOyZCzUT2KNJYL0xPpVJ4vV5+enOM5ViFqKCiV62puQ436gIch7zyZ/00WqXmGACHScuo/3DpsCAITAatzIkpliIZpoJWLl++XPsejY+P43A4yK1tkvj7LxHnFpDEKkyMY/3RxzjGhmvnA6/Xi91uZ2FhgZ2dHSYmJo5NZj6Pk6HTWOvbhUqlqk3d5ufn8fv9x+rXmo/rYjJ0gAsydMZotSb7viCfz5PL5Xj06BFmsxm/39+WiO+4LKBmK3wqlSIcDhOLxXA4HHR1dTE5OXmm++wRn5lyVWRpJ0OPUyYMxyEYDGK1WllYWKCruwfMrprN/rSOruY8HodJy0eDLtLFMoWyhKbD4lTFoaRRC/S5jYdSsNtBsVJtWO+MeE14DRIbkQj3d98wGnQe+nv4fD4WFhYIBAKEQqHa481lrj1OIz2OzicRzYnMPQ4DyUIFg1YOuuzkNbZaOZ0+kkAini1TEUXWYnk24nk+HXYz7DOjVXvI5fwsLCzg8Xhq7sTj0DyhOmra1UoHVP/3MBjLPFmTs7XsBi1VUcKiVzMRtJwqERtOt1qrXycubqeZ7rbR1dWFw25n7r//D0wvXuFMJEGnR/PhLRw/+gid20W1WqVUKqHT6WrnBqXlXenvmpycPLJH7zySoZPqOM4CVquV27dv1wToU1NTJ8oTgEMk9vcZF2TojPF9mwzl8/laGKJygjrLLCCQnUeKFd5qtRIIBBgZGfnWTmrKnasowZvdHFq1iuARThwFOqMJ98Aknz9/RVWKcGm0n7GArWMdSHMNRLNm5t1ejpWo3NE14jt6DahYvtdiuZpDachrPjYF+yhkS/vTm5QcrmfTga6YJLO5i9NoRONzUFIHsQdsOJtSj81mMzdu3ODVq1c8e/YMb98I4XSl5gw7rWuqlehbuaCnCxWebaR4tpHkWsh+4nO30imdJt9JOa5ml9lPJr1sJQrEc2UqooRWLRspbty4wdu3b5mZmWFqaurQ9Exx0q3F5QnVUUT2qDyg5u9gvlxlN1MkV6ryLpojaNPzo1EPXmvnqcLNZbOnIbRyBMC+AH41Rv/2G9RfP6R7d5e0ILA+PMjEH/+vOPyNAYmKuLq+zkPp73K5XMzPz2Oz2VqeI84jGfquJjCKAD2ZTDI3N0cwGKSvr+/3nuS0iwsydMZoVdSq4Dw6HVqhWCzWsoDUajU+n6+WBfTo0aMjv9iKFV5ph1eEkq2s8Pl8vmaF1+v1BAKBlif4bwuCIDDVZWVuUx7la1RCy4uGvBo40LpcnhhCW0iQCr/C4LkEtEeGipUqG3E5lLBVHo8COeBPYiOeR6OSE6Xr0WwfP60VGhqnEaJYQVvKoCnEkTQqnIEAY4M30Gq1iJLE/Faa5UgGtQoCtibiKKiw+Pt4926bB189Y3Sgj4le76mOqfl9aiU+rnfizR7hxIPDOqXTVovUH9dWUhajO0xaRn0HK6KAVb9fGJqsVZsobe+xWIynT58yODiI3+8/5KRrNaGqVqvs7u6yvb1dywNq5ZSEw/1jwz4zU11WVqN5tpIF3JajG+mbcai49huu1qRslu7nj4j8/V2q1RLqniCm//Of0HXzCtl8nsXFRYLFQm2qWC+urlarlMvlBgu+ksysZO5cunSpQSdzHsnQd31Mdrud27dv8/r1ax49etRQIXOBo3FBhs4YR02GlC/4ed3RlsvlWhaQKIr4/X6mp6dbnnzr0SoLSKPRtBRCF4vFWgeVSqU60Xn0baN5lH9JJdQuutlihdUjC0/tpH0u5ubm6O/vb2jgbkauJKf5RlIFJMBrkZ/nuBXDsFdOPF6J5mrC7ubpxmnt4/UW7Xi2RDaTQl1I4NRW6Q4G8PunD00wVILAVFAmji/DGdQqAa9Ff0jk6/O4uBRys/1uiWKsgmDrb/u4lNwiZTp10vvkNOmY7LKysJVucOKBrJ1ajxVqbrxOyknbOa6Qy3BIjG7Wa7iyX23SnB3lcrm4efMmz+cXeb4SQe8MUpWEQ1NBRSdXrwMaHR1taRRoZbUPOY0NGiq9Rs1yJMOL7QyTwcMhl/VoNT2bDFrxWtsnUvXIbUdI/uYu1afPoFLFOzqE7cc/wDY+XAtJtFqt3Lx5k9evX/P06VMmJydrn71mC379OUXJ3HG73czPzxMIBGqryPNIht6HNkelUjE6OkoikeDZs2d0d3fT29v7O3Ez/r5w4SY7Y0iSxI0bN/j8888bHn/27BmTk5MnkovvEkoabSQSoVQq4fV68fl8x2YBPXr0iBs3biBJEtVqFUEQand0rQiQQrLC4TDVahW/34/f7z9XhYD1zqABt5FEXrYGKw3rva7WIt1yuczi4iJ6vZ7R0cYOr2Yxc9Au5/G0K2ZWSjk3EnmsejVlkQMX1ins4weN7zl2okkyqTgW8oz1+OjuCralL6iIIs/WU8RyJVxGLdmyWAulrLe0i6LImzdvSKfTJ4ZrJnJl1uL5uvdbX8stageKE89t0RG069mIF2prndO68eBwjUe7x5XIlZndSGLWa2oTq2ypwsa+8HgvGqWcivLJtXFCPrmRvD6g0m63EwwGcTgcLS9crXRPIaexwWpfj7VYnje7WYJ2A+OBw39j5djqBdshp+FU/W9IEumlN6Q+v4v0chk0atRXr2D/8ceYuo6+YQCIRqMsLy/Xpmf1UKZESuZV/fdMFEVev35NIpFgenq6ttafmJjo/Pi/Jdy7d487d+68t99frVZ59epV7ftoMpmQJIkHDx7w0Ucf1f6fQji/h7hwk70PHMW8z0vWUHMWkMfjYWho6ESber0Vvj4bpBUBUkhWOBymUCjg8/kYHx8/t6PaemfQ/3yxS8hprLWCH7caUMII19fXefz4sXwyFtVnImbOlqpISGwlC6QLFa6F7Nzsd3Q83aiI8vRmeTNKZC9GJZ9hOGjnB9cGjrzgHoV8SUSrFljZy/GqKnJ7wMVE0HJI5KtoF6LRKDMzM4yOjuJ2u2v/3qrRvt3qh2Z4rTqcSS3338YwaNQMe02n1k4pOiwlN6eTSgoFDpO2lh11/20cm15DLFeuEeIP+oegLJcC723qa2ugrq6uIwMqQc6MkrvfOtM99bqMVESR1WgejVpg2Ct/zxO5g9XacYLtdiBWKiSezJH74i5sbYPJiPazH+H89EN09vas3m63m5s3b/Ly5Ut2d3cZGxurTYzrp0SlUgmtVtsQ1Dg6Oko8HmdmZga3230x/WiCWq1mfHyceDzOs2fPCIVCBAKB7yvxOTUuyNB3hPfZXK/YcCORCOl0GqfTSSgUOlUWUE9PD/Pz81y+fLlhvaWQrHA4TDqdrgWBdZJ78T6hU6u4GrKRL1dRCQJei64tjYQgCIRCIYoqA//pNzM4vAF8LuepL8j1wY0qlcBHAy6SebkzLF8WMbc5UCtWqrzeTjD/bpt4IonXZuT2cJChnumO1wjNfVqfjrjZzRTJl6scN1h2u91cv36dhYUFYrEY/QOD7GTKTY32p3NzKUL0zXiBYkWk226gJIo4zfLkrBM0i6KN30CHJUkSkiRRroo838jgMGn5eMhFyGlELUg1HZByPlCpVExMTBwZTdA8uVGa4zvRPQ165DiJtViOVL6MKFEjoZ1GCtSjnM2RuPuI4r0HkEyBx43hl3+E8/Z11PrOJ0tarZbp6emaBV/pC4SDoEbFbVYvrgZwOp3cvn2bp0+fUigUGBwcPFdT+PMAp9PJrVu3WF5eZnt7+30fzrnDxZrsW8C1a9f44osvGh57+fIlXV1d30rwVisoNvVIJEI8HsfhcODz+dqaBrTKAlLs8ADJZJLFxUWGh4fRaDSEw2ESiQROp5NAIIDdbv+dvTvLlao8W08CcK3XfuxaRBHCrsVkMbNOJZLbWafXa2VkeLht0tEq96bHaaxNppT1VLZY4XKP7dgVRiKT59nrDV5t7skC3m4f04NBXJbOiiKVdOF6t1qP01gjeIVylZm1JBJwNWQ7dqJQrFR5tPCG5c0o3aE+3DYTfS7jkanTx6HZ/u80aeUgSLOOt3tZVqNyoKYyATkOrao3Qi7jqWo8mj8LRp0avUYgmilhEkrYKgnS6TRer5dgMFibxCrrofqEZjg8uQnY5ZXfaSY3sjOvwL23MXZSJQY8Jq73Og5Vn7SL4m6U+G/vUXkyA8USQn8f5h99gn16HOGM9DqFQoGFhQWsVivDTd+leqdq/ZQIIBwOE4lEyGQyjIyMNLyn7wvve03WCpubm7x48YLx8XG6u7tbriC/R2jrQ35Bhr4FXLt2jc8//7zhhPrq1Ss8Hs+R+RhnhUwmQyQSIRqNYrFY8Pv9OJ3OtrOAFMfbUVZ4SZLIZDJsbm6ytbWFyWRieHgYl8v1vfkiZYsVnq4nUauEmjOoHuWqvLKoFzP37l9EAVZWVohGoyfWhBzoePINCc+tJiWlqsiz9ST5ssjVHltDTUS1WuXN+jbP320Ty1ZwOh1M9PkZ9Nk7DlxsnpKY9WpCTmPLPq1cqcrT9SSCANdD9kOW62Y3l14qko2scmViuOOLVHN441FZN692MmzECwx4TPS7W69l263eaAfNhMpm1NDrNGJAtsMvru2QlEyM9/r5YCTYkmQpye46nQ5nVz+byVJtctPtMJ56cqMQx+19B5zNoCZbrlKpSkwErCfGSTQj83aV1G/uIi6+AEB1aRL7jz7BPBA64SdPB0mSWF9fZ3t7m8nJyUNT5kqlUjOlKFOira0tisUi3d3dzM/Po9PpGB8fPzao8dvGeSRDqVSKd+/eodFoKBQKtUDZ78s5vAkXZOh94aOPPuKv//qvGy6Eb9++xWaz4fF4zvz3KaLB3d1dDAYDfr8ft9vdcRaQIAhoNJqWWUC5XK5mhTeZTAQCAZxOJysrK2QyGS5duvS9inJPFco8W0+h16i41is7g4qVKmuxgwTe46zasViMpaWlQ3oZOLziOa5qoR7FSpWn6ynKVZEr3VYK6QRLq9us7GXQmGx43C6GA85TXTxbTUl6XaZD6cLNyOwTR61axfWQHZ1Gdahbrd7NVS6XWVhYwGAwMDIycuJn9LCQWZ6QHDWxkySJF+EMkVSRYZ+5IVCzQax9ClF7PZoJlceiw29WkU/K5cQ6nY5gMIjH42E1XmA1mqfHaWyZHaVMbmZfb7AV2WV0sJ/RbvepJzfNxLHeASdKEnObKeK5MlNB64kZRJIokphdIPv5PVhdA70OzQc35NJUj6vjYzsNMpkMi4uL+Hy+Q7k59ecwnU7H1tYW1WqVvr4+JElic3OTtbU1JiYmvvUb0VaQJIn79++fOzKkpJdPTk6yt7fH0tISN27cwG63v+9D+zZwQYbeF/7hP/yH/Pt//+8bLoIrKyuYTKYzG9vWZwFpNBp8Ph9er/fEO6BOsoAKhULNCq/RaAgEAvh8vkO/Y2dnh7dv33bcjXPeoTiDNGoBm1FDLFNGQp5K9LqMWE4QMxeLRebn53E4HAwODlKqioeyhkJO47HFqfWQJInIXpzfLKyxHcsQcFqwOZy4bBZCLlPLSpGT0Fz/4Nl3q3UyJUnmyzzbSFGpitiNWtIFuVuty2FoWVSr3PGHw2GmpqYOifdbCZk76XuT9nOR9jIlxvxmNGoVa3Vi7Z6mDrpO0EyovBYthkqGZHSHSqVCIBDA7/cf0qu0mlg1ZxfZjRpceonIyjLBYLAh0bsd1PePHUccK6LsnswUKkx321p+/qrFEvH7jyh89QCiMbDb0H/yEc6PP0BzjNv024LiUEylUkxOTjY4XuvPaeFwGLVaTW9vb+3fc7lc7XvYvHL7tlGtVnn06BEffvjhd/Y728He3h7RaJSxsTFAdsaaTKaLyVAHuCBDbeAXv/gF/+bf/BtCoYPx8fr6OhqNhmAweOrnLZfLNQIkSRI+nw+fz9dWFlBzK/xxVniFAEmSVLPCn/Q7stks8/Pz9Pb2fqPXeN4QzZZ4uBJnO1nkzqCTPrepbds3yBfmhaVXvAonsfpCaDSatrKG6qFUMER2dsmrTGTUFjayAhadhh+Puwk5TR0Lfc+qx0yUJHbSRRa30ixsp7EZNHw64qHHeTJxSaVSLC4u0tfXRzAYpCKKhPdXdEqgZMhlPJWQuVwV+e3yHm92cwRs+trrO820RZIkdjOlGqHSqAWsQhFyMfKZwzqgo57jZSRDOFmky6FHlKhlFymiaHtdNMGrV6/I5XJMTk4eG03Qqn+s22k4MfW7vL92zZXFWtEsQCmRIv75PcoPH0MuD91dmD+9g+PGZYRz4D6Kx+MsLS3R19dHIBCokcVKpUIkEmFtbY3BwUECgcCh9f7KygrhcJjp6em2oiTOAuexOBaomWmGh4drj+l0nWvlfkdwQYbeF/70T/+Uf/7P/3mNdQNsbW0hinKbdSeoVCq1LKByuVwjQMdpUeCAALWTBVStVtnZ2SEcDlMqlWoE6Li8oaOOVdE+NOfu/C5jN11kdjOF16JjutvW9oW5nnBk0inysW0+uTpGl+/kVWmxWKyJQVFpkMwuCmozoiTgMGlxmbWsxfIN66l2EN0Xaif2rf/dDsOprP+ttEVmnZpIuojLpONyT3vvU6VS4fn8Irt5Eb2rCwnVNxIyKxb0jUSeUllkJ1PErFdzZ9CFx9JZtlUzOaNaQldKQi6O0+E4Ng+oFaKZIp+/jrIRKxByGbnUZaXbcTQBVcTVw8PDeL3exte5H5K4mZBrXSx6mTh20j9WqojMrCcpV0XGVTkqdx9QnX0OooQwNortxx9jHRmshSSeF1QqFZb+f/beM8ixs0wDfSR1K7dSK3eazt1S92SnGRvb+C4Uu5h8GU9BDXjsZTFLYaAoWDC7S6YoXJTJsDaLbfAa2C3SGl/vesFjPMFjT251mpnOko5aOccT7g/1OVbsljqqe/RUzY/RUSscSed7v/d9wuQkSJKEyWSC2+1GNBqFXq/nPMxomkZjY2NRFzsSicBms21aVAVLBD9w4MCGPk+1YLlVnZ2d3G03ejFUl9ZvAORyeVFYK5/PB0mSFf09TdPw+bLcg0QiAa1Wi97e3hV9ekpJ4ct5AbHP4XK5EIvFlnW7rRQNDQ0YHh7G/Pw8Lly4sCKBeLtA1ySC1dSECVcUo84IhszLWxIUFhwdzRK0dmtAk2aMjIwgHY+WvBCTJMkVpRRFQdWsh9TcC1+cyhJ9l0ZYrPuxUtKIy/YwLttD2LtMRhfbvZn3v9EKuPnVAAAgAElEQVQ96NHLVjVWK+QWFcZSaJdMEG1L52m5hZnl3YSlZkQSPvhnr+NN+wfRolNV9ZqA0uO+thYJZEIBLi2EMEpEsaeVX5FZZe57TKTSIONhNCQD0MlFMJvN0Gr7KvZoYc/9gj+BaIqCTi6CtFGABkH2tSzXiWtubsaBAwcwOjoKn8+H3t5epCjAHkiACL8RMdJmlFc8as2FUMBDd9iFqf/+C/zEPGQyCRoO7Ify7sOQGLdehVUOqVQKIpEIfr8ffr8fXV1dsFqtRVwilmCdK8FnA02vXbuGc+fOYWhoqOpNXzWo1WT4Wn1dW4l6Z2gD8MlPfhJvfetbcfvtt3O3eTweRKPRvEo8FzRNIxgMcu1LjUYDg8EAuXx5G/3cAohVgrEy+MICiPUbcrlcCIVC0Gg0MBqNUCgU674jYAnEAwMDW0Jc3AjYAwlcc8dgUIgwaMz/XEoFp7ZpJEUFB+uYG4/HYbVaIRAI4PP5QBAE4vE49Ho95God3AmmohGWP5bGiCMMuTgbB5H7XFz3xp8NO5WJBGivsnvAopQCK7cwy4UjmMTVxWjJ8wQUJ7Sz749OJzA6Ogqz2YzW1taKvpOlHqtQgp4maVxcCCFF0tjXpiw7noylyKz6KhiHPxgEEw+iWQT0tJsqGhXnIkNlzz0bNCsTCdC6NKZjGOCyPYTIMpydXDAMg7GpOVyZdkJlaIdUIl5TxAhNkgi+fgnxl08Bi27QMinEh26B6o5bIWzanPFRtchkMlxYLUs30Ol0XDdaIpEUEfKXk+AD2WvU+Pg4Ojs7YTKVVvqtFeFwGLOzs9i9e/e6P/ZaMDs7C6FQCLPZzN1WS6kA64z6mGyr8IUvfAH79+/HW9/6Vu42dheTO6Mt5QVkMBgq8umpNBWefQ6XywW/3w+lUskpwTajRTwyMgK9Xr9jcnFmfXHMeONoUYnRZ5BzwanzFUjRWTAMg5mZGczPz2c5REuckzRfhIWlOIlqRlieaAqjzghUkkbsblUgs0TUzg0VbddI8sJOK0VhsVGpAmvOH8e0J87FQBR6KTUIeGgtIRunKApXr15FOp2GxWIpqVAslfZe6rFykcxQuLAQAk0z2NemzCsiWKPLOZcfwaAfEjoJS4ceu1rNVXdKs8G+bygO1dJGtGkk0EjzVXnlODvLvU8ynULMPY/hLjO6dlX/e8pEYwicPIv06bNAJArodZDccQjqW/aBX4NKULZ7TRAEEokEDAYDTCZT0aLNMAzsdjscDgcsFkuRl1spCX7usfHxcVAUtSFxScFgEA6HA1ardV0fd62YmprirFdY1IuhejG07vj617+O9vZ2vOtd7+JuC4VCcLlc6Ovr47yA/H7/qryAWJQrgICsHNXlcsHr9UImk8FoNKK5uXnTeTw0Tectblvp97FeuO6JYcGfgIDPA58HZCqUoudmUCkUCqjVaszNz0OkMoAUq7gRVqmO0kpwhZO4uBACSTGQi7LfiXKhoiuhVAjoSsVGKUx7Y5j1xSFuEIDP5+VlaZmUy7tOLy4uYmZmBoODg5zct1TaezlfplLgfJGQNYqMJClMOv1YcHkQj4TRqVdgT08rtJrqNwqRJImFwMo+SLko17Eq5CrlnjMwWXJ1IpGA1WqtaPFOLHoQOnEK5PlLQCYDXncX5HcehnKov+b4QECW1+N0OuH3+6HRaGAymVZ0yweyQoOxsTFotVouuJXFSl2ixcVFXL9+HX19fUX8rLXA5/PB7XbXVFYaAExOTqK5uZmzeuHxeDvZsbteDG0VHnvsMYjFYnzgAx/gbvN6vZiengaPx4NEIoHBYIBGo6nICyg3FX45LyDWbyjX50Sn09XEbNjpdGJhYQFDQ0Nr4iXVCiYXo3htNghDkxA3d6rLclGSySRHhBaJRJz3DMPjgQilMOeLYXpuAY2gcce+AZhXoQwLJbJE7cnFKIhQEj06Gd7U21z1CIVVJi34E4hXUbiUAkvwfW02AFcohU6tFLd0qlf0UspFIpHISqI1WjQo9XAEk1wu12odrIOJNP7X5sL8oh8SKgqVVIShTiMsu8xorDLQlWEY+GIZ2ANvRJWYVWK0qsRFBpTlkNuxspqbEIhnigwcS71Pj8fDLd6FPlYswtdnEH3pJOiJSYDHA3/3MJR33w5Zm7nk/bcS6XQ6q5gs+J1Uu3mjaRozMzMIBAKwWCx5PMtcCX6pLlEqlcLo6ChEIhH6+/vXZePm8XgQCATQ19e35sdaT4yNjcFkMnEUhnoxVC+GivDCCy/g4YcfBkVRePDBB/FP//RPVT/GE088gXA4jHvuuQdzc3OcsydN09i7d2/FXkDsZ7OcF1A6ncbi4iJcLhf4fD6nBKtFA8RIJILR0VF0dXXVhE3+WpBNlY/AHUmjzyBDi+oNEiZrgeByucAwDOc909jYWJKA3KaWIB32Yn5+vmKvJnYhnvfH87o3FM1gIZCAWSVGv6Ey/gfrqM0qkyo1gSyFQtdptbQBaYpBLEUVmSCuhHiawrw/hgsTs4gnEtg32INuQ+mR0oqPlcrgypQD4/OLiCQpUEI5+lu1uMdiqDrVvrBoZKNKTEpRRT5IhfBEUvi/SQ9C8Qw6m2VoUWdHkSu9T3bxlslk6O3tBZ/PB0NRCF20IfryKcDuACRiNN58EKo7b4NIXT0xfSNB0zQ8Hg+cTicymQxMpuq5WeUQCoUwPj6OtrY2mM3mkl2iUhEU7MhtYWEBFosFKtXazhkrUOnu7l7T46w3RkZG0NHRwY0U68VQvRjKA0VR6Ovrw4svvojW1lbcdNNNePbZZ2GxWCp+DK/Xi8997nM4c+YMJBIJHnroIbznPe8BTdOYmJjAnj17Sv5dNV5AuaojkiS5Amg7KLcymQxsNhvkcjl6enq2NY+IZhiM5pr7pSMgCALJZBJ6vR5Go5FTqlRibhiNRjE6OorW1la0tLSUfc7FpQiPeJqCqJGPdrUExpyxWqUZXSy/xRlKcsqkdo1k2eyzcljOdZphGIwSEXgiafQb5TCvEAMRSmRzuVgCuUEhhpSJwTE7nRfeuRIYhoHd5cHlKSfs/iiUShV62/ToNak5ErNM1IC9bYqKRpKl5OztGil0TcKqu3lAlvy+EMi6a6coGsFYBialCLd2qSsu0BiGwfz8PIj5BbRGUsC5C0AgCKhVEN9+CKpDB9BQQ9cFlsPodDoRDAah1WphMpk2xPeHoihMTk5yI/rcxT63S1RKcRuPxzEyMgKNRoPu7u5V0wtKSdhrAZcuXUJvby/Xpefz+TW5gV4n1IuhanHmzBl86Utfwv/8z/8AAL75zW8CAD7/+c8v+3fhcBi///3v8atf/QqhUAgDAwOQy+X42te+xt2HJElcuXIF+/fv526r1gvI6/XC5XIhkUhwi+1KcvtaBMMwmJ6eRigUwtDQ0LbdkTAMA5/fj1fGFrAYiGL/Li0GO1vyOjvhZAYL/iRXJBgUYrRpygduUhSF8fFx8Hg8DAwMcCPOwgiPlRbiq4tROIKlM7pK5XxV4qhdCrmux8u5TufGQFhMTdA3FZNgC3lKhQRy1rNFqVSiq6ur7AIViUQwOWvHpMMPqlEKbbMG3UYN2jTSPOK3N5qGzRmGQtyAPa3KsqPAeJoqkrOvtmhki1l7ICu1Z921zSoxEmkKl+xhSBr52NumrMghO+UPIPDyGSROv4rw4iJE3d0w/N1bodo3VBMmiSySySQ3BpPJZDCbzdBoNJuyGWJHiqX8mlbqEs3MzMDtdmNoaGhVBdvCwgIYhslzxK4FnD9/HlarldtA14uhus9QHhwOR55rdGtrK86ePbvi373wwguYn5/H9773PfT09OD//u//8Nxzz+Xdhx2TVesFxErhw+EwtFoturq6VpTb1zp4PB66u7vh9Xpx4cKFPJLsdkAkku0A+Xw+KJVKHB5sw3yMj1iKQoafXeT9S8optkhoU0vQWqJIKIRAIIDVaoXT6cS5c+fQO2CBP83nUto1skYMVOAr06uXgaQZzHjj3PPn5nwJ+NkQ0DZ15fwWFuyCvpDjetytk3GJ9qXA5/EwZFbgsj2EcSICAZ+HZpkQNMNw5o0sKbpXL8vrdLEQi8XYv38/pqeni3ysUqkUHE4nrs67ECQbIW5So727H20aadnoDa1cCIupCaPOCGzOcJGhZmGHai1y9sJiViYSoN8oz3PXFkr42N3ShCv2MK7Yw8t2rOLzDgRfOgl6xAYwDESDA9j19x+Ck0pjPp2GjKIg3OJiiDVzdTqdYBgGJpMJBw8e3HQRhU6ng1KpxNjYGDweD/r6+rjXwF5zaZpGOp3OI1fzeDx0dXVBq9XiypUraGlpqVoVS1FUTYpG6j5Dxai9T2kb4v3vf3/e/2UyWZHpIsMwIEkSJEmu6AXEKs9YuX1LSwssFsu2LoBKQavVQiqVwmazcd4ytYpEIsEF1YrFYphMprycI7U6K5U+NxdEo4AHgFdRkVAKPB4PKq0BrmQD/vOvV6DX69HfblxRnVT4GINGOSiaxrm5IEadEYga+BA28NGplVac85WLQu8cuUiAQZO8Yt8iAZ+H4RYFLtvDuLgQgr5JiEiS4nhKVnPTijwltpD2+/24cOECmpubEY5E4Y6RIMUqSHWd6JSIKo7x0DeJQBoZTLqiGCeiGDTK4Itn8jpUHc1ZJV213CKgFIeqEf1GeVmbA7VUCIs5W6CNOCLY3aJ4o2PFMAjZJhA9cQrM9AwYoTDLB7r7MMS6rCpIiWxW4Pnz56saKa4XWC8zgiAQDoeh1+sxODi45R1soVCIPXv2cJuMgYEBjg/EcjEpikI6nS4iVysUCs6o8fz581WZybJk7VpDvRgqRr0YykFLSwsWFha4/9vt9rLcjeUgk8mQSCSKpPBqtRrXrl3D4OBgUUsyEolwUvimpiYYjcYdFWlRDlKpFAcOHMD4+Dg3YqyVHymb0+ZyucDj8WA0GrF///6S7eRGAR97WpV4fS6AycUo7uhpRrdOVjWXJLikDPNF0+DzG/CmA0OIumbBC9ohM/Sv/ABLYP2PwkkSgVgGbjqF27o0K7pCl0KKXOIWBd/wzlluQV8OJM1AKuTjwkIcE64o9rcpsK9NCZW0shY9wzDw+/0gCAIkDYzMeZDkS2Fu7YRalpWzL2dvUApmpRhpcqloJCLQyhohEQrKdqgqQSiRgT2QHY8C1Y0idXIRBo3AGJHNe7PoxAidvYjEK6cBjxdokkP41nugvv0WNMqLOWF6vR4KhYJzrl4L56VSxONxEAQBt9sNhUIBs9lccxs4Ho+HlpYWqNVqjI2NQa1Wo7Ozkzs3rE0JWxTldokEAgEGBgbg8/lw/vx5dHV1VZTBSFFUTV7DGYbJe1219DltFeqcoRyQJIm+vj78+c9/RktLC2666Sb8x3/8R9WGWefOncOHPvQhvPzyy9wIjOUD2e12OJ1O7N69m0tZdrvdkEgkMBqN0Gq1NVMMbCZYFQdBEBgeHt5Qi/zlwHKzCIJAOp3muFmV7gTzzP3alWW5QbkoNCQsTFbPTXlf6dwUqtWUkgaYVWI4gklEkySGWhQVFzGluEXVdKdyUcidUkkb4Y+l0bCUrbbS6Cl3NCmUKUBJ1IgzwiznLhaAIBHALfuGq+5AsFlmjmAC9kASkRSJ3S0K3Lyr8swxFqV4T2xy/Gq6SnMOL2b+v1dgmhyBjEwBRgOkbzoE1U17wa9g9MIwDObm5uB2u2G1Wtfd0iJ3s8Dn82EymaDX67fF9YsNbvV6vbBYLEXnZjmjxkwmg/HxcdA0DavVuizXptDPp1Zw+vRpHDp0iPs/+z53KOoE6tXg+eefxyc/+UlQFIXjx4/jkUceqfox4vE4Hn74YbhcLjz++ON5jqipVAozMzNwOByQy+Voa2uDTqfbyeS1qhAMBjE+Pr6sf8p6g+02sNwsnU4Ho9G4aoVLrrnfvnZl2ZR7VqI9709UZCIYCoUwNjaG7u7uImuCktlcmjfk2RmKxmV7GLEUiT2ty3dicrlFfD4PZqUIrWpJ2fdRDqz8fyHwRk5bbnGQyFC4OB8CAOxtUxa5Wud6NInFYkhUOsR4UgQTZNHrYqXUu3btgtFoXPG1FcaLsOfLE0nBHkhiV7MUndrKCqtCM0gR58+0uq5SwuVG8C8nQV26glQiCdFgHxR33wHFQM+qTBLD4TDGxsZKysyrBcMw8Pl8cDqdiMfjnCv0dlCylkI4HMb4+HjJCJjczr5QKCzq8LhcLkxNTaG/v79ssTM2Ngaj0bjp48qVUC+GStypXgxtHH7961/j29/+Nr7zne/g1KlT+Mtf/oJHHnkERqMRKpUKk5OTMJlMNc2V2Qqk02lO1lroJLteYBiG6zb4/X6ollLIK4lCqQSxFIkLCyE08HnY367M6wysxdeHtSaQyWTo6elBJEUVydDLqdXSFI2L81nH471tijxnaoZh4Ilmi6BIkuRUTqvhFhX58CxTHMRSJC4uhCBYOk8CMHlhtQajEXyZGkQ4k6e+KvW62B17Q0MD+vv7S3YogvEM5gNLY8gSWWYMw2BiMQpXKLWiL1JuV4k1g1ytPxMYBpGr04icOAl68hog4EOwZzeUd98OacvKxd1KYJPeKYoqOaZfCdFoFE6nEz6fD2q1GiaTaUMyDbcCFEVxrt4WiyUvlmIlCT6rcJRIJCW/czabDW1tbTUnECkshtj3tkNRL4a2EvF4HP/93/+Nn/zkJ7DZbHjb296GT3/603lOpKyMms/nY2BgoCZny1uFwkDT9eqcxeNxbjQplUphMpk2LKYknMzg0kIY4iWpNE0zeblVq5Vo0zSNSxPTmLB70Wxuh1QsqjjHLEVSuDAfAkkz2N+mhLhRACKU5KIfJELBUneq+jDXwiKvUh+ecCKDV8btiIQCaBWlYDLooTMYEUzzObK2VCioiBTNMAwcDgeXByWXy4sKvcIxZKnHWM4XqVxXaTVmkAxFIXD+SjY01UkAUgkab7kZ6jfdCqFKsfIDVInFxUVMT09XFKCcTqe5cFQ21HM1rtDbBT6fD1evXkVXV1deZhewsgR/YWEBdrsdVqs1r/C5fPkyurq6KjJS3SwwDIMzZ87Ui6HCO9WLofVFKBTCP/7jP8Jms+Hee+/F0aNHodPpcN999+Gee+7Bww8/XJR2vrCwALfbjeHh4Z0clrcqsBlVq/X5APJdugUCAYxGI/R6/aa0hYPxDC7bQwgnSUiFAgj4vFX7+hR2XDLJOJLeBdyyux8GXeWchESGwmuzAXgiaaikjRDweFBKGtCmkUArW7vrdKVFXi4PSCBRwMPIoVJkidnuSBoU/YZDd7Wk6Gg0iisjNjQqDciIFEiRDCTCbIiuUSFaMV6E9UXyxzKwmrO+SHnjw6WuUlsFobWlQCYSCJx6HamTZ4BQGGjWQHzHIahvPQCBaGN9t5LJZDbmRKUq8muiaRperxdOpxPpdBpGoxFGo3HbeoFVC7a7KBAIiiI5CrtEhRu0WCwGm82G5uZm7rxevHgR/f39W66mywVFUTh37hxuueUW7rZ6MVQvhtYdNE3j/PnzOHjwYH5KdSaDT33qU/B6vfjhD39YRIL1+/2YnJyExWKpuZbqVoN1Zu7o6KiIDwK84XHicrmQyWRgMBhgNBq3pNj0xdJ45ZoPfB4P9wxoq/apWc5wMZNO5y1sKxUMLLdo1hvDdU8cKmkj/p9BHQxN1Z+XXNdpoDLFVCEPiM2gimdojDjCODcfhLRRgJs61NillVQdMgtku1/2QBL2QByzcwuQNjC4Y98gDEpJdR4xNIOL9hDs/gSaxA3g83grdpVWfG1ePwIvnwb5+nkglQZvVwdkdx6GcvcgeJvYcSkkEFMUBafTiUAggObmZpjN5g1xhd4OYBgGLpcLc3Nz6O/vL+qgsV0iPp9fRK5ms9G8Xi+GhoYwPj5elRR/M5BOp3HlyhUcPHiQu61eDNWLoU3HE088gZ/97Gd48skn8wwegayXzcjICFpbW2E2116Y4laCJEmMjo5CLBZzOUyFoGmaI0JHo1GOCF0LwbDuSApjRARqaWORuV85FEraNbJsl6TQcJF19A4GgxgeHi65iw8mst453hyujFrSiInFKEQNfOxrU1acSF+p6zQLNj6GIIiirLbcSAo+P+vNFEpkYFSIKj5PLKKppeT4cAoMshL1VrUY8aAXc3NzVZl7sp5Ks76sBQDA4I7eZvQb5KuK3ojNLCB04iRo2xgAgD9kgeKuw5B3bp0zcTKZxOzsLBwOB5qamtDV1QWNRrNjx2DVIpFIYGxsDAqFosieIJdcnSvBZxEKhTA6OgqSJHHrrbfWVGctHo9jcnIS+/bt424rHP3tMNSLoVrFqVOn8LGPfQyPPvooDh8+nHeMoiguObncon+jgpUKe71ebqTIZh0RBIFAIFDT5E5nKIlJVxS6JiGspqayry+WIjEfSGAxXJ2kneU8sHyQSiIugokMLtvDkC7xmsqRpUu5Tmc7JKUVU2xhShAEYrFYXnwMzTBwR7LjPpYU3aoWw6zMkqLZ86SVCzFkLn+eWBQWVKXUb/F4HDabDQaDYVkXYTavjeV1qaWNMChEmPfHkSKZIuL5cmBoGsErY4i/fBrM7BwgEqLhpgNQ33kIIu3WqIvYjilBEKAoiuPMTU1NgWEYDAwM1JWtOWCz3xYXF2GxWIq6ZRRFcQaGhV0iiqLw8ssvQ6FQ1FR3KBKJYGZmBrt37+ZuqxdD9WJoy2C323HkyBHcd999eOCBB/KOsS3sQCCwrbO7Ngp+vx/j4+NQqVSIRCKQyWQwmUzbYle7EEjgujsGo1KEAUN+rEownsGcP74mSXsymcSVkREwEhVoaTOSGRpiTs1VWrLvi6Vhc4TRVCKjq9SIrk0jKek6zTAMpzry+/1FhWmhg7VMlOXwGEqQotnzZFCIMGgsjp8pVVCtpH6jaRrXrl3jSPm5v6tIcqmrVMZTqZB4vtyok0qlEXj1PJKvnAZ8fkCpgOj226A+fBMatsA/i2EYBINBEASBUCgEnU4Hk8lU1DF1uVyYnZ3Nc2euI4tIJMLJ5AuL6eW6RKdPn0ZfXx8mJyfR3d1d8Zh/IxEMBjmBAYt6MVQvhrYUyWQSH/nIRyASifDtb3+7qOjxeDyYmpqC1WqtKTXCViGVSuWZvKVSKbS0tKCjo6PmukDLYdYXx4w3jla1GD06WUlJ+2o4Kayaa8Efx5zdAT6Vxp37B2FWy1Y8P55ICqM5Y7w0SRcp30qN6IDyPCD24prMULAH8x2s2zSSFc0fc89Tr17OvcfCjK9yBVXZ97oU3Nnf3w9aKOd8kNiRX6uqdF4b64vEANhXwhcpHQwj8NdXkTn7GhBPAGYTpHcehvrA7i0JTU0kEnA6nfB4PJDL5TCbzVCr1ct+FxKJBEZHR4vcmet4Q+EaiUTyQk7ZY+y/3C4RK2HPZDIYGxvLxuSswtpgPeHz+eDxeDAwMMDdJhSuwg5i+6BeDG0HMAyDxx57DL///e/x5JNPFkk6Y7EYRkZG0NnZWXTsRgDLN+F8Z5aI0EKhEDRNY3JyEiRJwmKxbCsC4HVPDDPeGCJJEmqpsCqlUyHKqbky0SCmp6cr5soQoSQu2UNZzxxR1jW9HCl6OR4Qi/VwsL7uiWHBn+BiMXLHV5UUVKVAMwzmPGG8cnEcjWIZOlrNaFVLYVKKVvRUKvRFEjUIEHe4EHrpJKjLVwCKBr+/F0133Y6mvq5VmSSuBSRJYnFxEQRBgMfjca7Q1SgnWRJwIBCA1WrdMjf4WgUrdtm1a1dRJEehBP/VV1/Nk7ATBMFZG2yWqWwh3G43QqEQent7udvqxVC9GKoZvPjii/jMZz6DH/3oR3nENuANo72mpiZ0d3fv5C8tgOwFxefzgSAIxOPxPL5JKTidTtjtdgwNDdWUhHUlTLiiOD8fhMUkx97W6s0ec9VcPJROVWe5MkajEW1tbWWfg+XdXF2MYTGSQq9ehjf1aCAR5kuLC3lAJpOpWBlZxOHJEqxLdVsqeY+vXPfhuicGo0KEIbNiVbYEQNZ00hlMwh7ImiTKhHwwETf46SiGq+B0RJIkLs4H0TA/i9aJy+BPTQMNAgj27YXqzbdDYtSv/CDriNy8tmg0ym0Y1lrEBINBTExMVOzqfSMhk8lgcnKyJM+K7RBRFIULFy7g0KFDRUaNrHFqX1/fpm/iCIJAIpFAV1cXd1u9GKoXQzWFqakp3HffffjYxz6GI0eO5B1jGAZTU1OIRCIYGhracSRHhmEQCoVAEASCwSA0Gg2MRmPFRGg2cqC7uxs6nW4TXvHawTAMxl1RLIZT6DPI0KKqbPGqVs1FURSuXr2KTCYDi8XCdQkKeTeiBj5a1GJkKBoL/iRaVGL06mV5Tt3lCOoswdoeyH8slhRd7XnJjfHg84AkSQMAhswKtKiqI6LG0iTsgSQXVdIsF6JdLeEiSdidfm9v74oZUjRJIvj6JQT+/AqSdgIKrRKi226G6k23Qdi0uVL0WCwGp9MJr9e77g7qLDKZDCYmJsDj8TAwMLCTIxtWBdbEMjc+iB1Put1uaDQadHd3lzRqnJ+fh8PhwNDQUF5k00bDbreDoih0dHRwt9WLoXoxVHOIRCI4duwYOjs78eUvf7lo18CaEA4PD9eEZHytiEajcLlc8Hg8aGpq4ojQq/lhZjIZjIyMcFLY7fDjphkGNmcEvmgagyY5jIrSCz1buMz789VclYx2WBAEkfVOGbQgQjUuS2Qec/hxZYqAKBNGt05W1ql7PTg8ue+xXIwHn8er6DzlIhjPFlSsncCyUSVLfk1yuRw9PT3F7zMaQ+DkWaRPnwUiUUCnheSOQ1Dfuh/8TdyYZDIZuFwuEASBxsZGzhV6I7sLDMOAIAjMz89XZU9wo4CN5ODxeKBpmhtPGgwG7jaGYUpK8KPRKGw2G3Q63aZxtObm5iAQCPJioHa42W+9GNquoGkaX/3qV3HmzBn87Gc/KzL9ikQiGB0d3VZdkFywhFu321262hkAACAASURBVA2hUAij0QidTrcuF3S2gxYOh7eNEo9mGFyxhxFMZN2OdfI3LkwkTcMZrEyBtRJSJIWrzgBevXIV6uZmdLca0K6RcrybQh5QXKhGqkGGXoMCu5rzx4+lJOir5fCw46vcrLY2taQoxmO588SiVPRGi0qCFpV4RR8l1rrB4/FgaGgIEokESY8XwZdOIXP+EnjpNHhdnZDfdRjKoYFN4wOxY2On04lkMsm5Qm/2AhaPxzE6OgqtVrthmYHbCWw32+l0IhQKQSQSIZVKYWhoqEjwQtM0SJIsKcGnaRrT09Pw+XwYHh7e8FH/9PQ0pFJp3uizXgzVi6Gaxu9+9zt85StfwRNPPIHBwcG8Y+xOVq1Wb4sLUyaT4YjQDMPAYDDAYDBsWLHCKvEsFsumtqBXC5LOpspHkySGWxSQiQR5hotrKTYKiczN0gYkPPOQNvLR39/PjScLeUClxngrSdCrQTydJX4T4cpjPArPE6tuI+msbH8hkEBqKWNttYT0YDAI259fhn6BgHTBDoAH/u4hqO6+HdL2lqrf52oRiUQ4mwKNRgOz2bzlqlJ24Q6FQkWKqhsFyWQSBEFgcXGxSKUXi8UwOjoKnU5XdF1eyagxGAxibGwMbW1taG1t3bBr+rVr16BSqbiNNI/H2xabxjWgXgztBIyOjuKDH/wgHnnkEfzt3/5t3jHWNyWVSsFqtdacmorNOWIJe+tF7KwU8Xicc/Ruadm8RWy1yFA0Li2E4Ayl0MgHpKIG6ORZNddqio1SROZWtRjiBj4ikQiuXbuGYDAIvV6P9vb2kvwsmmEw6oxgxheHTCgAn8eDgM+DaQ2k6FAiO77yRHLGV2pxxTEl7HmKZ2gMGmUIJykQoSRIillTxhpDUQheGkX85VOg5ucRTCRA7xlG///7Lkh0m6P8SaVSXDiqWCyG2WzesCDhtYDlWZUKNd2JoGkaHo8HTqcTJElyY7BS3E22YAwGgyXVeCRJFknwWVAUhcnJSSQSCQwNDW1Ix2Z8fBwGgwEaTdb4s14MLd2pXgytjOPHj+O5556DXq+HzWYrOn7ixAm8853vRGdnJwDgPe95D/7lX/5l3Z7f7/fj6NGjuPXWW/HZz3626CLPqqmGh4e3XAbLMAwCgQBcLhdCoRCam5thMpkglxcb520GKIrC2NgYBAIBBgYGam5RKUSapPHqjB9EKIW7+7XQV5kZRjMMPJE05v3xIjNCKpPmdrRSqRQmkwlCoRDj4+Po6OgolgkvkaLn/HGMOiNIkwxu7VJjyNy0KlK0N5otznLdsFtU5Ynfy8EfS+PFcQ+8sTS6tFK0q6Vo04hXlWVGJVMInD6H5KkzgD8AqFUQH74NykMH4FoKLR0aGtowjh5FUVw4KkmS3Bis1kUSbKhpQ0MD+vv7a24zth4Ih8NcZptWq4XZbK74e8Cq8drb22Eymcp2iYRCYdF1yePx4OrVqxti1Giz2dDW1sZxv+rF0NKd6sXQyvjrX/8KuVyOY8eOlS2GHn30UTz33HMb9hpIksTnPvc5zMzM4Cc/+UmRLXwoFML4+Dj6+vq4in8zEYlE4HK54PV6oVAoYDKZVjR42ywwDIOFhQUsLi5ieHi45lv7yQyFCwsh0DSDfe3KkoTfQhSOiaTCrFO0ViqAJ2c8yfrO5C60JElibGwMjY2N6OvrAw1ekeu0WSUGEUoilqLyxlMrgaIZuMJJLASSSKQpzg2b9Q2qFrlKOopmEEhkoJE14tZOdUXnKRepQBDBl88g89o5IJEE2lohf9MhKPcN5Zkkshy9UovaalGonqx2oa0VMAwDp9OJhYWFbTOSXgnpdJojqa+1O0eSJKfkHBwczCs6co0a2aDU3OdIp9MYGxsDn89fV6PGy5cvo7u7m1tD+Hx+zRfea0S9GFpPzM7O4u1vf/uWFUMsfvGLX+D73/8+nnzySezatSvvWCqVwsjICHQ63bL5S+sFdnbudrshFothNBo3XNmyFgSDQYyPj6O/v39LCsZqEE9TuLgQAg/AvnZl2UgONqHduTQmUkkb0aIUAckwXC4X4vF4ReNJhmFwbWYOozMuyAztaGwUFrlO546n9rQqoJKUv4CmyawbtiOY9fRpEjegQyOBVl79+IpVmdlzctFY2X6GYio6T7mILTgReukk6CsjAMOAPziAprsOo6mns+zfkCSJiYkJAFiTxDyRSHC/Gblcvib1ZC2B5cro9fpt5wgP5JPUU6kU151br46J2+3G1NRUSfuGQqPGQgk+QRCYmZnB4ODguly3Lly4gMHBQe56UC+Glu5UL4Yqw0rF0Hvf+14ubf7RRx/Ny31Zb7z++ut48MEH8c1vfhN33XVX3jGapjExMQGapjE4OLjuhUkmk+EiMXg8HkeE3i4/JrZg1Gq1NX/Rji65HTcK+NjXpsgbJ7FhrmxCu1YuhLqBRDTgWdYPqBRySdGxWBxRjx03WzrR2Woqum+apHFhIYQ0SWNfm7KIyxRLk1jwJ7EYznr6aOVCtGkkyxZO5VCoMiuXi7bceeLAMAjZJhF9+RSYqWkwQiEaD+yF6u7DEOuW9xbKhdPpxPz8fFVdEIqiOFdotjtnMBh2nGcPTdOcF5rFYqn5DiwALkvP5/NtOEk9lUphbGwMYrG4yGyxsEtUeD1NJBKc8W5vb++aruuvv/469uzZwxV69WJo6U71YqgyLFcMhcNh8Pl8yOVyPP/883j44Ydx7dq1DX09LpcLR44cwTve8Q589KMfLVrw7HY7CIJYl7EQy2kgCAKpVIrrNGyHi10psMTzZDIJq9Va04tSKJHBJXsYkqVU+diSMowlRWtEQEMqiJDPw/GAKmnpFxob5uZyCUBzDrmlPHdKjfGC8QzmAwn4ljx9jEox2tSSovyuSlBKZVYuF63UedrXpuQ4TXQmA//Zi9nQVLcHaJJDeOgWqG+/BY3y1Y2k2C7Icq7eLHfO6XQiGo1Cp9PBbDZvOadvM+Dz+Ti+i16/uW7clYDd0BEEgYaGBpjNZuh0uk3hEzIMA4fDAbvdXtKzie0S8fn8InI1a/1AEASsVuuqR5KvvvoqbrrpJq6gqhdDS3eqF0OVYbliqBC7du3CuXPnVnSzXStSqRQ+/vGPI5lM4rvf/W5RcRIIBDAxMYHBwcGqU6jZizlBEAiHw9BqtRwReqeATekeGhqq6fcViKdxxR7GYiQFjVQIoQAQkVEg5kMDnwej0VjEAyqHUiOnUuaN7IXX6/ViqERURTxN4cJ8EOEkCaWkEWmSRqOAh1a1ZFUhswAQTGSw4H/DJLFUvMhyYM+TTNQAi0qA6KmzSJ95DYjGAIMe0jsPQ3XTXvDXofilKCqvoGbPfSwWA0EQ8Hg8UCqVMJvN6+4KvR3A8l1EItGWRE4Ugo0scTqdiMViMBqNMJlMW+avw3o2aTSaIrPFlST4rFGjXq9HZ2dn1d+t06dP47bbbuP+jlW17WDUi6H1xHLFkMvl4txGX3vtNbzvfe/D3NzcplwAGYbBj3/8YzzzzDN4+umnixRByWQSV65cgdlsznMcLfdYLBHa5/NBqVTCZDJBpVLt2Is5e2Gp9SBcdziJFy7PIx0LYUCRQYvJVJVNAZtonztyatdIi4wNC8EW1LlxAyxZ+5o7ijEiCqlQgLv7tGjXSKr29GFVZvOBBMLroDKzTzkw/dxLMMxMQMZjwOvphvyu26G09G6ISaLb7cb169eh1WoRCoUgEAi4TsNWFwBbDbYL4nA4YLFYtsQjKR6Pw+l0wuPxQKVSwWw2Vxzxs9GgaRqzs7Pw+XywWCxF5HmKokBRVFmjxqmpKQQCgaozGU+fPp0XHlsvhpbuVC+GVsbRo0dx4sQJeL1eGAwGfPnLX0YmkwEAfPSjH8UPfvAD/PjHP0ZDQwMkEgm+853v5H3ZNgMnTpzAJz7xCXzve9/DzTffnHeMoiiMj49DIBCgv7+/qB2cS+pknUm1Wm3Ny9DXC5lMBqOjo5BKpSXHQlsFhmEQDodBEAQCgQBokQIBnhxtOhWGWxQVOVCXSrRfaeRUCNbgUyxrglBtAhFOcZ4+Kmk21kPcKMDeNmXFHSGSpuFaUr8lMzSnMjMpxVUXVGAYRK5NI/zSKTCTV5FhANG+PVC9+XZIS/Ce1gNsaC3baWAl8T09PTWx0NYSotEoxsbGVgwLXi+wTupOpxN8Pp9TUNZqccoqgVk/tGqMGgOBAMbHx9He3l70t+VQL4bK3KleDO0czM3N4ciRI/jwhz+MY8eO5R1jgwE9Hg92794NABwROveCscN/FGXBMAxmZ2fh9/s3zOysUiQSCbhcrjw/IJYH5AwlMemKQtckhNXUVPbiF05msOBP5iXat6lXl/YeTZGY98Vx+do8YrEoDlh70W1QcJ4+wXgGl+0hyEQN2NumWFYynyIprkNFUgwUkga0q1enMmMoCsHzVxD762nA4QSkEjTefBDqOw9BqNoYiTcbWuvz+aBWqznCbW6QstVq3enxBlWD5enF43FYLJZ1Pz8MwyAYDMLpdCISieQ5qW8HsGPXRCJRdH4YhgFFUWWNGkmSxOTkJGe+u9K5LSyGWFn/Dka9GLoREY/Hcfz4cTQ3N+Mb3/hGHo+EoihMT09jYWEBEokEZrN5SzKOahks+XM1PKu1gI0rIQgCPF6WB1ROcbQQSOC6OwajUoQBwxtmlqVI0S2qrOv0ao0N8x2sRZDSCczPXMfAwEBeZp4vlsaIIwyFuAF7WpVF3Z1c9RvNALomIdrUEihXoTIjEwkETr2O5KlXwQuGgGYNxLffCvVtN0EgWn/zONZ3xuVyQSgUcuGopTqI7Pcnd6xYxxtgz09PT8+65Comk0kuIb6pqQlms3lbj/W9Xi+uXbtWknzO5puxhOdyRo29vb1liesMw+DMmTP1YqjUnerF0M4DwzD41re+hRdffBH/9m//hldffRXPP/887r//fuj1eqhUKkxNTXEmcnXkg5WxGo3GDc0IYr1NCIKo2A+IxYw3jllfHK1qCbp10rJp79UaG9IMA3ck+1jRAk8flmCdTCZhs9nQ3Nycl7/kjqQwRkSgljZyY7xSBVWLanUqs5TXj8DLp0G+fh5IpYGOdsjuPATVHit46zzaZOMXCIJAOp2uyncmlUrBZrNBoVCgu7u7ZsautYJ0Oo3R0VFIJJJVycQpiuKiMWia3nFWBel0Os/ZO/d9VWLUODo6isbGxpJ+WDRN4+zZs7jtttu42+rF0NKd6sXQzgPDMDh37hy+9rWv4eTJkzh8+DAeeOAB3HPPPdwPhyRJ7oJUSzyZWgGbEbTefk2FPCCNRgOTyYSmpvIjr3K45o5hxhdDJElCIxWWTXuvBBmKznOdlomyQacGhajkY9E0jevXryMWi8FqtXJFgjOUxIQrAgGfB0kDH7E0nRcJUm2MBwDEZu0IvfQKaNsYAIBvGYTi7sOQd3VU/VjLofCzWYuCkh27smq87TKu2SwwDAO73Q6n0wmr1briOWY/G6fTiWAwyFkVbHTC+1aBNVucn5/HwMBAUZd6JaNGp9OJubk5DA4O5nVw0+k0Ll++jJtuuom7rV4MLd2pXgztHIRCITz22GP4wx/+gIGBAXzgAx9AR0cHPvShD+HTn/403v3ud+fdn2EYzMzMIBgMYnh4eKd7TawKrBqmWsVGIQpJ6mazGRqNZs1F6IQrivPzQexubcKwWbnyHxS+rkzWwZoIJUGtgmDNOutaLBZI5U1whpK4NB/CnD8Bk0qEw10aGJXiqoszhqYRGplA7MRJMLNzgEiIhgP7ob7rEETrHJqam0Iuk8k4jtZ6dARZNV6teu5sNaLRKEZHRzm1a+E5T6VS3GcjkUjQ0tKyIxy7K0UikcDo6ChUKhW6urqKFGU0TYNhmJLk6kQigZGRESiVSvT29oLP5yORSGB8fBz79+/n7ldq5LbDUC+GbjTE43H89re/xbve9a68nVYoFMIHP/hBWK1WfPGLXyw5a56amqp5v52tAqv26O7urornUOjWvRwPaLVgGAZjRBTuSAp9BjlaVJUZYeYSrAFA3yRCu2Z1BGt/OIoTr9tAS5TQNGvRLBOCZrLE6la1GL36yr9TVCqNwNkLWZNErw9QKiA6dCtUh29Co2z9ugAURXEcLZqmuc9mIzYErFqRdR7e4QtP1cglD7MmqGxwbTqdhmnJRuJG3ayxnl9utxsWi6XoGs1yiUqRq9kOpcvlwtDQEHg8HqamprBnzx7uPvViaOlO9WLoxgBFUfjnf/5njIyM4PHHHy9yL43FYhgZGUFXV1d9B1sCrLxcqVSiq6ur7M60FA/IZDJtqFs3zTAYcYThj2VgMTXBoChNiC/nOt22SoJ1KJGBPZAtqGiGQdLvgrqRwsE9WRPCa+4Y7IEEOpol6NIu7/acDkUQePkMMmdfA+IJwGyC9E2HoTowvC4miUC+4igcDnOKo80YtbBhwS6XC1arddsFsm4G5ufnMT09DYFAAIPBALPZXN+c5SASiWBsbAwmk6nIomAlCX4kEoHNZoNKpQJJkhgeHuaO1YuhpTvVi6EbC7/+9a/x7W9/Gz/72c/Q29ubdyyTyXDEz+UW/BsVufLpoaEhbqe6njyg1YKiGVxxhBFKZGA1N0Enf6MgYl2n14NgzTAMvEvJ8aElk0Sz8g3FGuvqbbVa0dTUhAlXFEQoiW6dDO2aYt5M3OlC6C8nQV2+ApAUeAN9UNx5GE393etmkhiPx7kRpUKhgMlkglqt3pLvdzgcxtjYGDo6OuriBWSvOWxCvFAohF6vB0EQkMvl3GinjjdAURTH1SuV/0aSZFkJPk3TGBkZQSAQwC233MLx2ITC6m0tthnqxVAdpXHp0iV8+MMfxpe+9CW85S1vyTvGMAz3YxsaGtoxCo31hNvtxvT0NLq7uxGJROB2uzmuyXrwgFYLkqZxaSGMWIrE7lYFZKKGvKDTtRCsKZqBK5zEQiCJxAoFVSwWg81mQ0tLC8xmM8ZdsfwxHsMgPHEdkZdOgrl2HWgQQLBvL5R3H4bUtD4u4CRJcvlTPB4PZrO5Zoz3SJLE+Pg4+Hw+BgYGauI1bSYYhuES4hOJBBeNwZLwWU+0xcXFehetDPx+PyYnJ9HZ2Qmj0Zh3LLdLJBQK865HrEIyGo2io6MDZrMZIpGoXgyhXgzdsPB4PLjvvvtwzz334OGHHy76MbhcLszNzWFoaKh+McoBywNyOBxcxlFfX1/NFI0ZisbFhRAWwykIBDxIGgTQyBrRrpFALa3egydNsjEeCWQoBk3iBrRrJNCtYJJIURQmJibAMAz6BwYwvhiHNxRHh2sW4nOvgyFcgEwK4W03Q3XHrRAq1h7VUJg/tRkjytWCVfzY7fYti6rYbMRiMTidTni93jzDynLfI3Ys1NLSUrG78o2ETCaDiYkJ8Hg89Pf353GqyknwXS4XYrEYOjo6MDExgUwmg/3791dkGbGNUS+G6lgemUwGn/rUp+DxePDDH/6wiDsRiUQwOjqKnp6eDQ+drWXQNA2v1wuCIJBIJLhFtrGxkfP0KBVzslVIkzRenfHDHkzhnv5mGBTVFwOxNIkFfxKL4SRoBtDKhWjTSKCq0iTR4XBg/voUTP4YgidfhzwVh9hsgOSOQ1Dfuh/8dSDFRqNREAQBr9dbc/lTK4FVU+3UBZ8kSW4MtpqEeIqicPXqVaTTaQwODu70RXtVcLlcmJmZQX9/PzQaTd6xQgk+QRDIZDLYtWsXgKwJpsFg2OndyXoxVEdleOKJJ/DEE0/gqaeeQltbW96xdDqNkZERaDSaPIO9nY5KeUAsMXZxcRHDw8M104VIZihcmA+BAbC3TQGZsPLk93n/kkkiDzAqxWhTr84kMenxIXjiNBJnziLs9UA00A/TvW+Dwtq/ZpPEdDrNjcEaGxurXmRrCaynFUmSGBwc3PaqKYZhEAgE4HQ6EY1G16VDx1o4lFrw68jaQ4yNjUEulxf5xuV2iVwuFwQCAdrb27njN0ACQb0YqqNynD59Gg899BAeffRRHD58OO8YmyvEZt/s5F1Erh9QNTwg1k+mli7WsTSJi/Mh8Hk87G9XQtxY+nOjGQaeSNYpOpIk0SjgoVUtgVklrjh4NReRqVlETpwCPTYOgAf+sBWyO27FXCyMxsZG9PX1reo7lNuhS6VS3CK7U7oFi4uLmJmZweDgIJTK6j2jthqJRIKLxlAqlTCbzVAqleu2gUomkxgdHa07e5cBuzEjCKJo9Mo6qs/OzmLXrl0wGo3c+asXQ0t3qhdDdbBwOBx4//vfjyNHjuDBBx8sOs5yHIaHh3eUo26hH9BqQ2vZmAqtVouOjo6a6KJFUyQuLoTQKOBjf5sSwoY3FpAMRYMIpWAPJJAiaUiFArRpJDCWcZ1eDgxFIXh5FPGXT4OZXwDEIjTedACquw5BpMk64LKuwwRBVGxiyTAMIpEInE4n16FjuSY7EfF4HKOjo9DpdDXzHVoOrF+T0+kEAC4aY6M2TLmeO3VydWlEo1GMjY1Br9dDq9VyI2S2uy2VSjmjxoaGhh2zmVgG9WKojuqRTCbxkY98BEKhEI8++mjRDyUUCmFsbKymOiCrQW6XIZlMcrlgax1z0TTNcRwsFktNEKtDiQwu2cOQNPKxr00JimawkOM6rZY2olUtQbOsserFl0qmEDhzDsmTZwB/AFApITp8G9SHD6KhTMHMmlgu52lV6DzMukLfCN2AclEntQKGYRAKheB0OhEKhaDX62E2mzd1g8RaFLS1tcFsNtd80biZoCgKLpcL09PToCgK3d3daGlpyfvtUBQFiqLg9/thNptrZry/QagXQ3WsDgzD4LHHHsPvf/97PPnkkzAY8uXOqVQKV65cgcFgKDL/qmWwF3GCIBAMBrkug1wuX/f3wOYK1YoaLxBP44o9jFCChEwkgIDPg75JhDa1BE3i6gu2VCCI4MtnkHntHJBIAq0tkL3pEFT7h8GroCvAujKzYZ18Pp8L4CQIAiRJcuGo251Ds1p4PB5cv369ZjYeubElcrkcZrN5y/yagCw5e3JyEhRF7Qiu1VrAchwdDkdegZpMJjExMYGFhQW8733vA5/PB0mSePHFF/H000+DIAg8++yz6O7u3uq3sJGoF0N1rA0vvvgiPvOZz+BHP/oR9u3bl3eMpmlOOj04OFjTO3bWdM/j8WyqHxCrxuvs7CwqKLcC3mgar1z3oUHAw5v7tJCtInojtuBE6KWToK+MADQD/mA/mu46jKaezqpNEnOjAuRyOaLRKHQ6HUwmU00UkLUAlifDZlNtduHBck2cTidIkuTGYLVUeCwuLmJ6ehoDAwN5oaQ3AtLpNAiCgMvlKpvdFovF8MADDyAUCmHv3r3485//jDvuuAMPPvgg9u/fv202s2tAvRjaCTh+/Diee+456PV62Gy2ouMMw+Dhhx/G888/D6lUiieffDIvhG+tmJqawn333YePfexjOHLkSNFz2+12uFyumlJSAW/wgAiCAJ/PXzUPaD1ex+joKGQyWU2QPhfDKYwRETTLhRgyN1XGDWIYhEavInriJJipaaCxEQ0H9kJ512FIDJVnteUil6guFAoRi8UwMDBQVfbbjQKGYTA9PY1gMAir1bopvzM2IT4QCECr1cJsNtd0gcoWjWxczlb/zjYShaaVJpOJs/ooRCKRwB/+8Af88pe/BEmSmJubw/e+9z28853v3IJXvmWoF0M7AX/9618hl8tx7NixksXQ888/j+9///t4/vnncfbsWTz88MM4e/bsur6GaDSKY8eOoaOjA1/5yleKyJGskmpwcBAqlWpdn7sabBQPaK1gGAYzMzMIBAIYHh7ecg6II5jE1cUo9E0iWEzlR4R0JoPAa5eQeOU0sOgG5DIIb7sF6jfdikZ59QsjSZJcOCqAvAKVzX5jlUI3wG61arCuwz09PRtSNBZ2Gcxm85Y6qlcLttPo9XphtVo3JXNuM5Gr1lOpVGhpaSlpWskwDK5cuYInn3wSp06dwr333ovjx4+jp6cHi4uL+Pu//3vs2rUL3/rWt3bcOSqDejG0UzA7O4u3v/3tJYuhf/iHf8Bdd92Fo0ePAgD6+/tx4sSJdc89omkaX/3qV3H69Gn8+7//e1E7OpFIYGRkhDOP2ywU8oCam5s5P6Bag9frxbVr12CxWLZcOj3vT2DKE4NJKcaAMT8MMx2NIfjXV5E+cxaIxgCDPmuSePPeqk0SWVdoNgKADUctRbbN7YAMDQ3dCJLfqpFOpzE6OgqpVLou2V1ssLDT6UQqleJ4WltdsK8FLEF/J+S/0TTNqfUYhlk2ViYQCOA3v/kNnn32WZjNZjzwwAN429veVtQNZxgGjz/+OJqbm/He9753s97KVqKiYmjrpS51rAkOhyPPKLG1tRUOh2PdLwJ8Ph//+q//it/97ne499578fjjj2NwcJA7LpFIcODAAYyNjSESiaCvr29Dd5S5PCC5XA6TyYSBgYGa7ihotVrIZDKMjIzAbDZvqeNwu0YCkqYx50tAwOehVy9DYtGD4EunQF24BGQy4PV0Q37nYSitfVXzgWKxGPf5KJVKtLa2rug5w+Px0N3dDZ/PhwsXLtQMcbiWIBQKsXfvXszPz+P8+fOr7oBEo1E4nU74fD5oNBp0dXXV5AZiNVAqlTh48CAmJibg9XoxMDBQUxynShCJROBwOBAIBKDT6TAwMFDyc6ZpGidPnsRTTz2FiYkJHDlyBH/4wx+Wvf7zeDx85CMf2ciXvy1RL4bqqArvfve70dfXhw9+8IP4whe+gL/7u7/jjgkEAgwNDWFubg4XL15c95EQm3DNuqgajUYcPHiwJuTrlYItGicmJhAKhbY0qLNLKwNFM/BMTIH81Tk0zU4DfB74e3ZDdfftkLZWV1Dnfj4NDQ0wmUzo7Oys+v01Nzdj3759sNlsCIVCN5TzeSXg8Xjo6OiASqXClStXOBO9lVD4+bS0tBS5Fe8UNDQ0YGhoCC6XC+fPn8fAoFS68gAAIABJREFUwMCWjvArAfv5EAQBoVCIlpaWsptKgiDwy1/+Er/97W+xZ88ePPTQQ7j99tt35Ge5WaiPybYBamFMVgi/34+jR4/illtuwWc/+9miH6HX68X169dhsVigUChW/Ty1ygNaKxiGgcPhgNPp3FITS4Zh4P7DC+BduADmwAGo7zwEoaryz4sdsxTmtq3HiIumaUxNTSEajdak304tIJPJYHx8HA0NDejv7y8qPAvDa9mE+BtpBJlIJDA6Ogq1Wo3Ozs6aKhgKo0uW+3wymQxeeOEFPPXUUwgGgzh27BiOHj265SP3bYA6Z2inYLli6E9/+hN+8IMfcATqT3ziE3jttdc25XWRJInPfe5zmJ6exk9/+lPI5fnck3g8jpGREbS3t1dVnG0nHtBawZpY9vb2bl0YbjIJ8PlAFcUG6wrt9/vL5ratF1i/na0m6Ncq2MLa4XDAarVCLpcjHo/D6XTC4/Fsu/DajQBN05yIwWq1brmDfiqVgtPpxOLiIpqamtDS0lJyjMwwDK5du4ann34a//u//4s3v/nNePDBBzE8PHzDfparQL0Y2gk4evQoTpw4Aa/XC4PBgC9/+cvIZDIAgI9+9KNgGAYf//jH8cILL0AqleLnP/85Dh48uKmv8Re/+AW+//3v4+c//zk6OzvzjpEkyRE+e3p6lv0Bszwgt9uNpqYmzg9op//o2TBcdudaq++XVRstLi5CJBLBZDJBq9Vuyk47kUjAZrNBr9ejvb29Zs/RViIYDGJkZAR8Ph9isXhZsu2NimAwiImJiYpHi+sJtsvtcDg4zyaj0VhyzB+LxfDb3/4WzzzzDMRiMe6//368+93v3vYd8S1CvRiqY/Nw7tw5PPDAA/jGN76Bu+++O+8YqxIKhUIYHh7OIzMW8oBYufWNdgFnR0JsBEOtED5zTfcymQxnurcVIys26iSVSsFisdTMOdpKMAyDYDAIp9OJcDgMnU6HWCwGPp+PwcHBbcWn2yxkMhlMTEyAx+NhYGBgw89RLBaD0+nk8sFaWlqKuuhA9vt94cIFPP300zh79ize9a534fjx43XO3NpRL4bq2Fy4XC4cOXIE9957Lx566KGiH7Db7cb09DQsFgtnupebPn4j8RjKgU0ut1qtWzYWZK39nU4ngsEgtFotTCZTyQv4VsDlcmF2dnbNfLTtjGQyyXnONDU1wWw2Q6VScb85giAwNzd3Q5+j5cAwDBeZMzg4uO68G4qisLi4CKfTCT6fj5aWFuh0upJdVJ/Ph1/96lf49a9/jV27duHBBx/E3/zN39xwG8INRL0YqmPzkUql8PGPfxzJZBLf/e53ubYuywOan5+Hx+NBc3Mzuru7dyQPaK2IxWKw2WxVc63WitzsKZlMxpnu1eKulD1HrK9VLb7G9QabEE8QBGia5rp05Tob8XgcNpsNBoOhPlosg3g8jtHRUWi12jV3YArzwQwGQ9kQVIqicOLECTz11FOYnZ3F0aNHcezYsboD+8agXgzVsTVgGAY//vGP8cwzz+CLX/wi/vjHP+L69ev4+te/zhFtbTYbZ51fv0gXgyRJjI2NQSgUbqhnE7vAsqZuKy2wtQSKovLy8XbiTrqwS6fT6WA2myv2FqJpGteuXUMikYDFYqkr8kqApmlujL+auJNc526pVFp2E8HGF/3iF7/AH//4R9x88804fvw4br311ppSuO1A1IuhOrYGPp8Pv/nNb/CTn/wEwWAQR48exSc/+cm8dj3DMLh+/Tri8TisVuu2WHw3GwzDYG5uDl6vF0NDQ+tGnmTlvARBIBwOc67Q29Wa3+l0YmFhgVNS7QSkUilugV2PLh2ryLsRw0wrBRt30tXVtWKwMpsP5nA4kEwml80HS6VSeP755/H0008jHo/jQx/6EI4cOVLvim8e6sVQHZuLiYkJfP7zn4fL5cL73/9+HD16FKlUCkeOHMGHP/xhHDt2rOhvXC4X5ubmMDw8vG0X440Ge5Fe60KWq9ZTKBRFPJPtjGg0CpvNtq0jGArVRmw0xnoRxZPJJGw2GzQaTU2rFrcSK/k2lcoHK8XJYhgG4+PjeOqpp/DSSy/hLW95Cx544AFYLJb6ed981IuhOjYXbrcbHo8HVqs17/Z4PI77778fzc3N+OY3v1l0cQ+HwxgbG0NPT8/Wee3UOJLJJEZGRmAwGNDW1lbxBTWTyWBxcREulwt8Pn9Hq/XY0WK5haxWkevZ1NzcDLPZvGEdrtyRUD3/rTQYhuG6jRaLBTKZDB6PBw6HAwCWtSyIRCL4r//6LzzzzDNQqVQ4fvw43vGOd9THk1uLejFUR+2AYRh861vfwosvvoif//znRUUP67XT3NyMjo6O+u6pBFhpeSaTgcViKbvYsy18giAQi8U4td6N4FHC8jIIgsDQ0FDNdhszmQw3BhOJRDCbzWhubt407gjbbdxSs88ah9vtxvj4OABwWYLl8sHOnj2Lp59+GhcvXsT73vc+3H///XmZkXVsKerFUB21hz/96U945JFH8NOf/hTDw8N5xypd7G90sLvWoaEhyGQy7vbc8E21Wg2TyXTDug6zyeWdnZ0r8j82C2yR6nQ6kUgkuOiFreoapNNp2Gw2NDU1obu7u07iRX4+GGssGgwGEY1G0dLSkvddcrvdePbZZ/Gf//mf6Ovrw4MPPoi77757W1y3jh8/jueeew56vZ5LNvD7/Thy5AhmZ2exa9f/3959x0dZZo3//wQSIBASUkiZCUXSSBkWCIhYUFmRXcCg4IYiEFLcxV19KK4I61dFX7oIoiurKC41IZREmr6oK+yDLkgRQkkDAkQgM5NeSC8z8/vD38yTkNCTTCZz3v/4wvuGue7JTO5zX9e5zulLYmJie8kvk2BItE0XL15kypQpzJ07lwkTJjQ6bmwtYM6eXW1daWkpqamp9O7dm7q6OrKzs+nUqRNeXl63rGdibWpra0lNTcXe3h4/Pz+zvSf1i+45OzujUCharHXJvTIm6efl5RESEmKV37e76Q928eJFJk6cyPz58+nZsydxcXFoNBpeeuklpk2bhqurqxmv4N79+OOPODg4MGPGDFMwNH/+fFxcXFiwYAEfffQRRUVFLFmyxMwjbRYSDIm2q6SkhJdeeong4GDefvvtRjeq4uJi0tPTZfdLE+on2hYXF+Po6Cj5H7dgrpu9MUDVarXY2tqiUCjadJBqbFPRlmbSWlr9ulp36g+WmZnJmjVr+O677+jSpQtff/01jz32WJsIaO/XzT0v6zf51mq1PPXUU1y4cMHMo2wWEgyJtk2n0/H2229z7tw5Vq9e3WhXhjFp2NPTE29vb4v+xfOgDAaDKdG2qKjIlGjbrVu3BgmxkqjZNGNw3ZI5MjfPMFharlZtbW2D2laWsNxzr27esadQKG5ZV6uyspLvvvuODRs2YDAYmDlzJi+++CIbN25k1apVrF69mt/85jdmuIrmcXMw1KNHD4qLi4FfP8vOzs6mP1s4CYaEZUhMTGTp0qWsWbMGPz+/Bsf0ej3p6emmPkJt9cm6pVRVVZGdnU1OTg729vamejM3vw95eXlcvny5RVoLtBfGHBlHR0f69evXbJ+l+tutnZycUCgUTc4wWIL6CejBwcENctIsWXl5OWq1moKCgtvu2DMYDCQnJ7N+/XoOHz7M2LFjiY6Oxs/Pr8HP8/z580RGRvLFF18QGhrampfSbG4XDAE4OztTVFRkruE1JwmGhOU4e/YsERERLFq0iGeffbbBMYPBwPXr18nJyWHAgAHtfjmoftsFnU5nqgp9p3ozxvYLxhYVojHjkkdRUdEDLS0ae09ptVrg9tutLVH9nDSFQmHu4dyXuro6U3+wOy1VFhcXk5iYyObNm/H09CQqKooxY8bc9jtXXV2NnZ2dxT6gyTLZTSdJMCTairy8PCZPnszIkSOZM2dOoydr43bgoKCgdjf7Yew+rtVqKSkpoWfPnnh5ed3zk7lOpyM9PZ0OHTpYVK2d1lZQUMDFixcJCAjAxcXlrv6Osb+eRqOhpKQEd3d3FApFu006rqur4/z58wCt0t29Odz8M7pdfzC9Xs/hw4eJi4sjPT2d8PBwZs6cabFFO+/VzcHQG2+8gaurqymBurCwkKVLl5p5lM1CgiFheWpra5k3bx65ubmsWLGiUV2PyspKkpOT8fb2ttgn1vqMSyx5eXk4ODigUChwdnZ+4IaRWVlZZGdnW+0OobtxtxWZ6yfaNtfPyJJoNBquXbtGcHBwm20hYewPptVq6datG0ql8pY/o+zsbOLj49m+fTsqlYro6GhGjBhhsTM892PKlCkcOnSI/Px8PDw8eO+993j++ecJDw/n2rVr9OnTh8TExLt+UGjjJBgSlmvNmjWsXr2a9evXNypeptPpSE1NbfEmpi3FOH2v1WqxsbExVYVu7idvY9Kwv7+/xW39bS16vZ7Lly9TVlZGcHCwKQFdr9eTl5eHRqOhrq4OLy8vPD09LWJ2pCWUl5eTmpqKl5dXm9nMUL8/WHV1teln1NTSVm1tLfv37yc2NpaioiKmT5/OlClT6NGjhxlGLlqZBEPCsv3000+88sorLFu2jMcee6zBMeOW6YKCAlQqVZvfRWUwGCgsLESr1Zp2Gnl6erb4rE11dbVp9qNv375t4ibWFuXl5ZGRkUGfPn0oLS2lqKgINzc304498etDSEZGBtXV1QQFBTVbz7R7VVlZiVqtJi8vz1S36Vb9wTIyMtiwYQP79+/n6aefJiYmhgEDBsj3wLpIMCQe3L59+5g9ezY6nY6YmBgWLFjQ4Pj69et54403TAm7r776KjExMc32+mq1mvDwcCZNmtTkv5ufn8+lS5fa7BR+/YJ7PXr0wMvLq9V3Gun1ei5dukRFRQXBwcFmu4m1VcYlFo1GQ3V1Ne7u7la5c/Fu5ebmcuXKFfr3799qMyvGTQUajQa4fcJ6eXk5O3bsYOPGjXTq1InIyEgmTJhgMSUORLOTYEg8GJ1Oh7+/P99//z3e3t4MHTqUzZs3ExQUZDpn/fr1nDx5ki+++KLFxlFVVcWf/vQnbG1t+eSTTxrNApWXl5s6lnt6erbYOO5W/ZL+dnZ2KBQK3NzczJ7MnJOTQ2ZmJiEhIS3WCNRS6PV6U2uM6upqU9Xhjh07cvHiRbPPfrR1lZWVpKSk4Obm1qIzjqWlpajVaoqKiujZsycKheKW/cFOnz5NbGwsx48fZ/z48URFRd02F0xYjbv6AFjnAri4KydOnMDX15d+/foBMHnyZL799tsGwVBr6NKlC+vXr+ezzz4jLCyM2NjYBlVyu3XrRmhoKCkpKZSWluLr69vqvwDr31yrqqrw9PTkN7/5TZsqA+Dh4UG3bt1ISUmhb9++bSJwbG31+7e5uLjQr1+/RjOK/fv3Jycnh1OnThEUFNTkEoy1s7e3JzQ0lMuXL3P69GmCg4Ob7bN+c38whUJBQEBAk9/pwsJCtmzZQkJCAr179yYmJoaVK1dabW6XuH/yiRG3pFarGyQve3t7c/z48Ubnbdu2jR9//BF/f3/+8Y9/tEi3ZhsbG+bOnUtISAjPP/88K1asYPDgwabjtra2/OY3v+HKlSucOXOGkJCQVnmqN1aFLiwsvOXNtS1xcHBgyJAhpKamUlJSYtaeXa3l5pk6pVKJr6/vba/bw8MDBwcHUlNTTR3LZYahoQ4dOuDn50dBQQFJSUkPlKhvrN6tVqspLy/H09OTgQMHNpkLqNPp+PHHH1m/fj2XL19m6tSp7N69G3d39we9JGHFZJlM3NLWrVvZt28fq1evBmDDhg0cP368wZJYQUEBDg4OdO7cma+//pqEhAT+85//tOi4Ll++zOTJk3nllVeYPHlyo+PGnIaWWg6qrq4mOzub7OxsunTpgkKhwNXV1aKCCmMCen5+PiqVqk3NYDUHY8K6Wq2moqKiyeabd0On03HhwgV0Oh2BgYEy43ALxkR9Jyene6rufS/9wdRqNfHx8ezcuZMhQ4YQHR3N8OHDLep7J8xCcobEgzl69CiLFi1i//79ACxevBiAhQsXNnm+TqfDxcWFkpKSFh9bWVkZM2bMoE+fPrz//vuN8nHKyspISUnBx8eHnj17PvDr6XQ68vPzTVutPT09b7mN15IYC1kGBga2i23GFRUVprpNPXr0MO00etBZHY1Gw/Xr1wkODrb6fKtbMRgM/PLLLxQUFBASEnLLhOV76Q9WXV3Nnj17iIuLo7y8nIiICCZNmiRLl+JeSDAkHkxdXR3+/v4cPHgQpVLJ0KFD2bRpE8HBwaZztFqtqWLrjh07WLJkCceOHWuV8en1ej744AOOHDnC2rVrG3W3r62tJTk5mR49etxXIqWxmq1Wq6W4uLjdbrU2NsT18PCgV69eFrccVL9uU4cOHUxtF5o7Yd0YYFtyi4rWUFRUxPnz5/Hx8WmwdHUv/cHOnz9PXFwcBw8eZNSoUcTExBAUFGRxn03RJkgwJB7cnj17mDNnDjqdjqioKN566y3eeecdhgwZQlhYGAsXLuS7777D1tYWFxcXvvrqK/r379+qY9y5cyfvvfceq1evJjAwsMEx47byyspKgoOD72qZ4+aKw15eXri4uLTrX8R6vZ7z58+j1+sJDAw0+863OzG2L9FoNJSWlppaY7T09um6ujrS09Pp2LGjtDu5jdraWlNhVEdHR7RaLba2tiiVStzc3Jpc2iotLWX79u3Ex8fj6OhIVFQU48ePb/M1xESbJ8GQsB6pqalMmzaNhQsXMm7cuEbHtVot165dQ6VSNbk1t37jTYPBYGqOam05Imq1mqysrFu+T+ZWVVVl6hDfvXt3FAoFPXr0aNVAtX5n95CQkDb5PpmTcUbVOAsEEBIS0mRrB71ez4kTJ4iLiyMpKYmJEycSGRlpkTOU//jHP1i9ejU2NjaoVCrWrVsntY3aBgmGhHUpLCxk6tSpDB06lDfffLPR0+eNGzdIS0vDz88PV1dX0w6Wm2cXrL2Xl/F9aq58qwdlLLin1WrR6/WmgnvmDlSN79NDDz3UoNSDtaqpqUGj0ZCdnd2gP1hpaSnHjh3j+vXrREdHA79W/N68eTPffPMNvr6+xMTEMHLkSIudaVOr1Tz++OOkpaVhb29PeHg4Y8aMYebMmeYempBgSFijuro6FixYwKVLl/jXv/7VKCehpqaG06dPY2trS01NDU5OTnh5ebX67EJbV1NTQ0pKCo6Ojvj4+LT6e2MwGLhx4wYajYbi4uLbFtwzJ+NykL29vVWUKbjZ3fYHKyoqIioqCp1Oh729PdnZ2bz00ktMnz69XfTNU6vVPPLII5w9exZHR0eef/55/ud//odnn33W3EMTEgwJa7ZhwwY+//xz1q1bx0MPPUReXh7p6enY29vTsWNHDAYDnTp1IigoyGKfRluawWDg8uXL3LhxA5VK1So756qrq9FqtabZBYVC0ebztQwGA9euXSM3N5eQkBCrmFmsv2vP2dkZpVLZZH0t4w6zDRs2sGvXLpRKJdevXychIQGVSmWGkbec5cuX89Zbb2Fvb8+zzz7Lxo0bzT0k8SsJhoR1O3bsGFOnTkWpVJKXl8fLL79MZGSkaR0/KysLjUbDgAEDZG3/NvLy8rh8+XKLVWOu3yG+trbWtNXa0soWFBcXk56ejq+vb5tYXmxu99IfrKqqiu+++44NGzag0+mYOXMm4eHhdO3albS0NCIjI4mOjubll19u04Hu3SoqKmLixIkkJCTQo0cP/vCHP/Diiy8ybdo0cw9NSDAkrFVKSgqxsbHs37+fhx9+mIyMDMaOHctf/vKXRr94jTew/v37N9qaL/5PRUUFycnJ9OrVq9m2ldev3n27rdaWxLi82L17d3x8fNrFsplxudLYH0ypVDY5+2UwGEzfvR9//JExY8YQHR2Nv79/o+9dZWUl8+fP569//St9+vRprUtpMd988w379u1jzZo1AMTFxXHs2DG+/PJLM49MIMGQsEZLly7l6NGjzJgxg7Fjx9KpUydqamp49dVXqaysZPny5Y1mgYx1dry8vPD29jbTyNs+nU5HWloatra2BAQE3NeNvqamxlS929h3ytKqd9+JwWAgMzOToqIiQkJCLLK69839wZRKJa6urk3O4pSUlPDNN9+wadMmevbsSXR0NGPHjrW4mb0Hcfz4caKiovj555+xt7dn5syZDBkyhNdee83cQxMSDAlrZDAYbjnt/tVXXxEfH09cXJypUKSRTqcjPT2dDh060L9//3Z1c25OBoOB69evk5OTg0qluqvlxZub2BqTbNt7/Rhjde+AgIAmt5W3NTf3B/Py8sLLy6vJn5Ner+fIkSPExcWRmppKeHg4M2fOtOpilO+++y4JCQnY2toyaNAgVq9ebZGBcDskwZAQN/vhhx947bXXWL58OcOGDWtwzHijz83NbZf9upqTscrw7W705eXlaDQa8vPzcXZ2NrXGsCbGnl3Ozs73VQW9NRhrN+Xk5ODk5IRCoWiyPxhAdnY2GzduZNu2bahUKqKjoxkxYoQ8PIi2TIIhIZpy7do1wsPDiYiIICIiotHxwsJCLl68SGBgIE5OTmYYoWWorq4mOTkZNzc3+vTpg42NDXV1dablFVtbW1NrDGu+Wer1eq5cucKNGzcICQlpEzNi9ZPW79QfrLa2ln//+9/ExcWRn5/PtGnTmDp1quTYCUshwZAQt1JRUUFUVBQuLi4sXry4UX5DZWUlycnJeHt7W/XU/53o9XouXrxIaWkpnTt3pqKiAg8PD7y8vGSH3k3y8vK4dOmSWZvilpWVodFoTP3BlEplk732DAYDly5dYsOGDezbt48nn3ySmJgYBg4c2CZnt4S4DQmGhLgdg8HAkiVL+P7771m3bh1ubm4Njut0OlJTU+ncubNVFtS7k8rKSlNrDDs7O6qrqxkwYECT9WbEryorK0lJScHd3Z3evXu3SmBhbGSr0Wju2B+soqKCHTt2sHHjRmxtbYmMjGTChAlWUTtJtFsSDAlxN3bv3s1bb73FypUrGTBgQINjxqJxxp1BbWGJw5zq93CDhrVmjF3dpT3F7en1ejIyMqiqqiIoKKhFdl3V7w9WWlp629k6g8HA6dOniY2N5dixY4SFhREVFUW/fv1kFki0BxIMiZZ1u51blubixYtMmTKFuXPnMmHChEbHjYUHg4ODrW7mw3hj1Wg0lJSU3LaHm7E9RdeuXfH19ZXZtNvIyckhMzOzWYtZ1u8P5uDggEKhwNnZucnvaWFhIQkJCWzZsoVevXoRHR3N6NGjzd7zTYhmJsGQaFnXr1/HxsYGNze3dpEfUlJSwksvvURwcDBvv/12oxt5eXk5KSkp9O3b1ypmPqqqqtBqteTk5NzxxlqfcTatsLAQlUpl9bNpt1NRUUFKSoqpxtX9PFwYDAby8/PRaDS37Q8Gv87s/fe//2X9+vVcunSJyZMnExERYRWfZ2G1JBgSLSMjI4MjR47w4Ycf8vvf/55///vf7Nq1C19fX3MP7YHpdDrefvttzp07x6pVqxrtJjPOfDg4OJilgWlL0+v1ppYLOp3OdGO9n9mCgoIC0648cyUMWwKdTseFCxfQ6XQEBgbe9Xt9L/3BNBoN8fHx7Nixg9DQUKKjo3n00Udl5k5YAwmGRPPLzMxk1apV6HQ6fvvb3/Lss8+ybNkyqqurmThxIv379zf3EJtFYmIiS5YsYe3atfj5+TU4ZmxgWlpaSkhIiMVX2jUYDKbWGEVFRbi5uaFQKJrcZXSvjLvyHmTmw1poNBquXbtGSEjILduS3NwfTKlU0rNnzyb7g9XU1LBnzx7i4uIoLS0lIiKCyZMnW12tJ2H1JBgSzc84xT5//nwCAgKorKzkscceo6CggKioKF5++eV2sxX97NmzRERE8O677zJ69OhGx405HyqVqlkCh9ZWU1Nj6hBvb29vao3R3AGLTqfj/PnzGAwGAgMDm7xxi18Zk9B79+7d4Ht048YN1Go1xcXFd+wPduHCBeLi4jhw4ADPPPMMMTExBAcHSyAqrJUEQ6L5JSQk8Pbbb3Py5ElOnDjBJ598goeHB2PGjCE8PNzcw2t2+fn5TJo0iZEjRzJnzpxGN5TS0lJSU1Px8fGxiE7ler3elF9SU1Nz2/yS5paVlYVGoyEkJISuXbu2+OtZqrq6OtLT0wFwdHQkJyfnjv3BysrK2L59O/Hx8Tg4OBAVFcX48eOliroQEgyJlvLmm29iMBjYsGED48aNY9WqVWzYsAE/Pz9CQ0Oxs7NDr9c3Sz7Cvn37mD17NjqdjpiYGBYsWNDgeHV1NTNmzODUqVO4urqSkJBA3759H/h166utrWXevHnk5uayYsWKRjdyY6dyZ2dn+vbt2yafwOsX23NxcUGhUJhlV1xJSQnp6en4+vo2quskfp3ZKSwsRK1WU1JSAoBKpWoy50qv13Py5EliY2M5deoUEyZMIDIystXqFzW34uJiYmJiSElJwcbGhrVr1zJ8+HBzD0tYPgmGRPPS6XSmJY7Lly/z5ptv8pe//AVHR0eSk5NxcnKirq6OIUOG8NBDDzXL6/n7+/P999/j7e3N0KFD2bx5M0FBQaZzvvzyS86dO8fKlSvZsmULO3bsICEh4YFfuylr1qxh1apVxMbG0qtXrwbHjLVjqqurCQoKahPbk+t3Hu/UqRMKheKWxfZakzF4dHJyklo2/7+b+4MplUocHR0pLS3lyJEj5OfnM336dODXMg9btmwhMTERHx8fYmJi+O1vf2vxy48RERE88cQTxMTEUFNTQ0VFhSTei+YgwZBofvVrC+Xk5JCQkICrqytubm4UFBRw/fp1jh49yrx58xgxYsQDvdbRo0dZtGgR+/fvB2Dx4sUALFy40HTO6NGjWbRoEcOHD6eurg5PT0/y8vJa7Ab7008/MWvWLJYtW8bjjz/e6LhGoyErKwuVSmWWqr0Gg8HUIb6iogJPT0+8vLza3HKJsd1DWVlZu0ix1kppAAAb2UlEQVRCvx/1+4PpdDpTf7Cbg5q8vDxmzJiBo6Mjtra2ZGVlMXXqVKZPn95uZtdKSkoYOHAgV65ckeBYNLe7+kCZ//FVWBTjLyqNRsPBgwfp3r07PXr04MaNGxw/fpzBgwezbt06Pv/8c/z9/fH09AS4r2UztVrdYAbG29ub48eP3/IcW1tbnJycKCgoaLGbxKOPPsrevXsJDw8nPDycl19+ucFx4y6ss2fP4u/vf8uO7s2tvLwcrVZLXl4ePXr0oE+fPjg6OrbZG4uNjQ1+fn7k5uZy6tQpqypmWVZWhlqtprCwEDc3N/z9/W/ZH+z69evExcVRUFCAjY0NxcXF7Nixo1lmXtuSzMxMevbsSWRkJGfPniU0NJTly5db5MYEYZmkyIS4L+7u7mRkZBAYGIi9vT2ZmZmMGjWKc+fOcerUKd555x08PT3Jzc3FYDDQoUMH7nEWss1SKpUcPHiQpKQkXnvtNWpqahocd3JyYtCgQVy5coWrV6+22HXX1dWhVqs5efIkFy5cwMHBgYcffpjAwECcnJzabCBUn7u7OyqVirS0NFOLj/aorq6OrKwsfv75ZzIyMnB2dmbYsGH4+fk1uuFXVVWxdetWxo8fz5/+9Cf8/Pw4fvw4hw4d4quvvuKFF15g9+7dZrqSllFXV0dSUhKvvPIKp0+fplu3bnz00UfmHpawIhIMiftia2vL+++/zyOPPMLgwYNJTU0lNzeXTz75xFSo8F//+hf//Oc/mTVrFjk5Ofd8c1YqlVy/ft3056ysLJRK5S3Pqauro6SkBFdX1we8ujvr0qUL69evJyQkhLCwMHJychoc79y5M4MHD6a8vJzU1FR0Ol2zvK4xwTYlJYWTJ09SU1NDSEgIgwcPxtPT0yLzRrp160ZoaCh5eXmcP38evV5v7iE1C4PBQHFxMampqZw8eZLa2lpUKhWDBg3C3d29wUypwWAgJSWFN954gxEjRpCcnMwXX3zBoUOHiIyMNAVMw4cP58CBA8TGxpKfn2+uS2t23t7eeHt7M2zYMABefPFFkpKSzDwqYU0kZ0g0C4PBwOLFi/H19TVtsU9ISKB379507tyZXbt2MW/evFsWk2tKXV0d/v7+HDx4EKVSydChQ9m0aRPBwcGmc1asWEFycrIpgXr79u0kJiY2+/XdzoEDB3j99ddZsWIFgwcPbnQ8KysLrVaLSqW677YllZWVptYYjo6OKBQKevToYRGzP3fLYDBw7do1cnNzH+i9Mrfq6mpT/aY7tTEpKSlh69atbNy4ETc3N6Kjoxk3bpxV5lA98cQTrF69moCAABYtWkR5eTkff/yxuYclLJ8kUIvWUT8fqLq6mtzcXDp06EBFRQUfffQRH3/8Mba2tvdV+XbPnj3MmTMHnU5HVFQUb731Fu+88w5DhgwhLCyMqqoqpk+fzunTp3FxcWHLli3069evuS/xjq5cucKkSZOYNWsWU6ZMaXS8qKiI8+fP31NrivrVhg0Gg6lDfFvYqdaSjO9VQEBAq+VcPSi9Xk9BQQFqtfqO9Zv0ej1Hjx4lNjaW5ORkwsPDmTlzZqNZT2tz5swZ006yfv36sW7dOpydnc09LGH5JBgSraf+LrP09HQ+//xz3nzzTdavX8/gwYN57rnnzDzClldWVsaMGTPo06cP77//fqMlq6qqKs6dO4dCocDb27vJf8NgMJiqDZeUlNCzZ08UCoXVFSmsqqoiJSWFnj17tum6OXfbHwwgOzubTZs2sW3bNoKDg4mOjubJJ580e6kDIdo5CYaE+WRmZvLll19SWFjIypUrrWbaX6/X88EHH3DkyBHWrl3b6MlWp9ORnp5Ox44dCQgIaDCjZlxa6datGwqFAhcXlzYbBLQGvV7PxYsXqampaTO1m6DhjJ2NjQ0KheKW/cFqa2v5/vvviYuLIzc3l2nTpvHSSy/JjIcQrUeCIWEexlkinU5HdXU1Xbt2bTBzZA127tzJe++9x6pVqxoUiYSGuTEKhYLc3Fzq6urw8vLCw8PDagLHu6XVak0NTM211drYzNbYH8zd3R2FQnHL/mBXrlwhLi6OvXv3MmLECGJiYhg0aJBVfQeEaCMkGBLm01ztOCxZamoq06ZNY+HChYwbN870/0tKSsjOziY3NxedTkf//v1N9ZhE04w94Pr164e7u3urvW5tbS1arRatVou9vT1KpfKWM3YVFRV8++23xMfHY2NjQ1RUFBMnTjRL8U0hhIkEQ0KYW2FhIVOnTmXAgAHY2dmxc+dOZs2aRVhYGK6urlRVVZGcnEzv3r3x8vIy93DbtNraWlJSUnBwcMDHx6fFgu36/cEqKytNVbw7derU5LlnzpwhNjaWo0eP8txzzxEVFYWPj4/MAgnRNkgwJIQ51dXVsX//ftauXcuxY8cICgri008/xcfHp9F5qamp2Nvb4+vra/UzardjMBjIzMykqKgIlUrVZIByv6qqqlCr1eTm5jboD9ZUUFNUVERCQgJbtmxBqVQSHR3N7373uzaT1ySEMJFgSAhzeeedd9ixYwdPP/00kZGRDBo0iPj4eJYvX8769esbtVMw3uSLi4tRqVSSN3QH+fn5ZGRkEBQUZCryeT+M/cHUajV6vf6W/cGM5/73v/8lNjaWCxcuMHnyZCIiImSJU4i2TYIhIczlp59+IjQ0tFGD1JMnTxIdHc2HH37IyJEjG/29vLw8Ll++TEhIyD0VqLRGlZWVJCcno1AoUCqV97QsdXN/MGNPuaZoNBri4+PZsWMHAwcOJCYmhscee0xm8ISwDBIMCdEWZWdnM2nSJMaNG8ef//znRjfx8vJykpOTeeihh/Dw8DDTKC2DTqfj/PnzAPTv3/+27Ujq6urIzs5Gq9ViZ2eHQqHAzc2tyaCmpqaGvXv3EhcXR0lJCREREUyePPmBZqGEEGYhwZAQbVVNTQ2vvvoqlZWVLF++vFHrCWOycPfu3SUZ9w4MBgNqtRqNRoNKpWqwe8vYH0yj0VBaWoqHhwcKhaLRjJ3x3IsXLxIXF8f333/Pb3/7W2JiYggJCZH3v5UYd6Ea/5uXl0fPnj3NPSxh2SQYEqKt++qrr9iwYQNxcXEoFIoGxwwGA5cvX6asrIyQkBBJzr2DkpIS0tPT8fPzw8HBoUF/MKVSectebmVlZWzfvp2NGzfStWtXIiMjeeGFF5oMmETzMhgMGAyGBrNzdXV12Nrasnr1avbs2cP27dutrk6ZaFYSDAlhCX744Qdee+01li9fburaXV92djZXr141a9FBS6DX68nJyeHChQt07NiRvn373rY/2KlTp4iNjeXnn3/mhRdeIDIykr59+1rkTVen0zFkyBCUSiW7du0y93DuyHjfufm93rJlC+vXr2fVqlXEx8fj7u5OdHS0OYYo2g8JhoSwFNeuXSM8PJyIiAgiIiIaHTcWHfT19cXNzc0MI2y7KioqUKvV5Ofn4+LigpeXFzk5OZSWltK3b98GzV7z8/PZvHkz33zzDQ899BAxMTE888wzt801sgSffvopJ0+e5MaNG202GEpKSuKnn37i1VdfRafT0bFjR65evUp8fDweHh7MmDGD8vJyvvjiCzIzMzl27Bjr1q1j2LBhptkiIe7DXQVDsh1CiDagd+/e/Oc//+GHH37g9ddfp7a2tsHx7t27M3jwYK5evUpmZib3+BDT7uh0OjQaDSdPnuT8+fN0796dYcOGERAQgKOjI35+flRUVPD0009z7NgxDhw4wPTp05kwYQJ2dnbs3buXb775htGjR1t8IJSVlcXu3buJiYkx91CaZPws29raMnv2bAA6duzIrl27iIqKwsHBgXPnzvHuu+8C8Pbbb/PMM89w/vx5YmNjyc3NlUBItDgJhoRoI7p27crmzZvp27cvL7zwAvn5+Q2Od+rUiUGDBlFTU0NycjI6nc5MIzUPg8Fgygs6ceIElZWVBAcHM3jwYDw9PRvknRgMBvr06cPvf/97Jk+ezGeffcb8+fM5ceIE8+bNa1dJuXPmzGHp0qVtdqu/cZkyODiYXr16sXv3bgAyMjL44x//yPjx40lKSuLcuXNkZ2cDvz4czJw5ExcXF6ZPn8727dut7vMuWlfb/PYIYaVsbGx48803+etf/8pzzz3H2bNnGxzv0KEDAQEBuLm5cerUKSorK8000tZTW1vLtWvXOHHiBFevXsXd3Z1HHnkEHx+fRn2/qqur2b59Oy+88AIvv/wyAwcO5OzZs7i4uLBp06Z2d0PdtWsX7u7uhIaGmnsoAE2+v0lJSQwdOpRZs2bRs2dPVq9eDcDly5d54403mD17NrNnz2b37t0EBgYCsH79eh599FE++OADJk2ahJ2dXZsN9kT7IDlDQrRRFy9eZMqUKcydO5cJEyY0Ol5SUkJaWhoBAQEN8mLag5v7g3l5eeHp6XnL/mBpaWnExsZy6NAhfve73xEdHU3//v1NCboGg4FPPvmEXbt2sWfPHrp27dral9QiFi5cyIYNG7C1taWqqoobN24wYcIE4uPjW+X1jbk/N8vOzjZV5l6+fDlFRUUsWrSIvXv3Eh4ejkaj4YsvvqCiooL33nuPDh06UFlZyeHDh1GpVCxbtoynn36asWPHtsp1iHZNEqiFsHQlJSVMmzaNwMBA3nnnnUZPx9XV1Zw7dw4PDw969eplkTuh6qusrESj0dxVf7AbN26wdetWNm3ahLOzM1FRUTz33HO37VeWnp7eIEhqTw4dOsSyZctaLYF627Zt/O///i+LFy+me/fuFBYWcvr0aebPn0/nzp35f//v/zFmzBhGjhzJwoULGTVqFABjx45l1KhRTJ8+nTfffJOysjIeeugh9uzZw/Dhw/n000/bTbAq2gRJoBbC0jk5OfHtt99iZ2fH5MmTKSkpaXC8c+fOhIaGUlZWRlpamkUuAxm3xCclJZka1j788MOmvmP1Axe9Xs9PP/3ErFmzGD16NMXFxSQmJrJ7924mTpx4x8atgYGB7TIQak3GB+iQkBBSUlJQq9UA9OvXj8TEROLj45kzZw6bN2/mypUrPPLIIyQkJJj+fmhoKF9//TWurq4sW7aMMWPG0KlTJ7Zu3crKlSslEBJmITNDQliIxMRElixZwpo1a/D3929wzGAwkJWVRXZ2NiqVqlFF67boXvqD5eTksGnTJrZu3UpQUBDR0dE89dRTkkfSCvR6PTY2Nk0GkdOmTWPo0KHMnj2biIgIcnNz2bt3LxqNhtjYWDp06EBkZCSPPvooK1euxNXVlR07drB48WLOnDlDcHCwGa5IWBmZGRKiuRUWFjJq1Cj8/PwYNWoURUVFTZ7XsWNHBg4cyMCBAwkLC2uW1w4PD2ft2rXMnDmT/fv3NzhmY2NDr1698PX15fTp0xQXFzfLaza3uro6srKy+Pnnn7l06RIuLi4MGzYMPz+/RoFQXV0de/fuZcqUKUyePBlHR0cOHjzIxo0bGTlypARCLUyv1wO/Ju3fHAgZj40fP54ffvgBnU7H7Nmz+fnnnwFQKBQMGDCAlJQUunbtysqVK4mLi2PKlCkMHDiQvLw8goODrb5EhGg7ZGZIiHswf/58XFxcWLBgAR999BFFRUUsWbKk0XkODg6UlZW1yBjy8/OZNGkSTz/9NHPnzm10ozJ2c1cqlSiVyhYZw70w9gdTq9WUlZXdsT9YZmYmcXFx7N27l8cff5yYmBgGDx4sy1utYNu2bQwZMoQ+ffqY/t+ZM2fYtWsXDz/8MM8++2yD1hg1NTX87ne/429/+xvPPPMMgYGBfPTRR4wfP57U1FSWLFnCyJEjmTlzJqWlpXTv3t1clyaslyRQC9HcAgICOHToEF5eXmi1Wp566ikuXLjQ6LyWDIbg1+3m8+bNIycnhy+//LJRnoVOpyMtLQ07Ozv8/f3NMotSXV2NRqMhJyfnjv3BKisr+fbbb027oCIjI3nxxRcbbZ0Xza+oqAhnZ2fg12Do8ccfx8PDg9OnTxMXF8fly5fx8/Nj586d7Ny5E5VKBfzfTrK//e1v1NXVsXTpUj7++GNiY2NJSUmhoqKCq1ev4uPjc8dcLiFakCyTCdHccnJy8PLyAsDT05OcnJwmz6uqqmLIkCE88sgj7Ny5s9nHYWdnx+eff87o0aMZN24c165da3C8Y8eOhISE0KVLF06fPk1NTU2zj6Eper2e3Nxczpw5w7lz57Czs2PIkCGEhITg7OzcIBAyGAycPXuWuXPn8uSTT5KRkcHXX3/NwYMHmT59ugRCLSg/P59//vOfDBkyhD/+8Y/861//AuD3v/8969atAyAtLY2tW7fy3nvv8cknnxAWFsb27dsbJfGHh4dz6NAhfvnlF1577TVGjRqFXq+na9euBAYGSiAkLILUOBfiJs8884ypEm59H374YYM/3yqpFODq1asolUquXLnCyJEjUalU+Pj4NPtYo6OjCQwMJDw8nGXLlvH44483GF/fvn3p3r07SUlJBAUF4ejo2OxjACgvL0ej0Zj6g/n6+uLg4NDkuUVFRSQmJrJ582YUCgXR0dGsWLFCWi60koyMDAICApgzZw6ff/45dnZ2REZGMnbsWJRKJZs3byYoKIhx48axa9cukpOTGTRoEOHh4SxduhS1Wo2Tk5OpvtDAgQNNAVCXLl34xz/+YeYrFOLeyW8fIW5y4MCBWx7z8PBAq9Walsnc3d2bPM+Yq9OvXz+eeuopTp8+3SLBEMCjjz5qKmYXHh5OTExMgyDN1dUVe3t7kpOT6d27t2lm60HpdDpycnLQaDR06NABpVKJj49Pk0tyer2ew4cPExsby/nz55k0aRLffvtts41F3D0/Pz+USiVz5syhd+/eHD9+nBEjRuDk5ARATEwM8fHxhIWF8fDDD3Pu3DkAhg8fTqdOnThy5Ah+fn7Y2dmZ8oduflAQwtLIMpkQ9yAsLIzY2FgAYmNjGT9+fKNzioqKqK6uBn5djjhy5AhBQUEtOi6lUsnBgwdJSkritddea7Qs1rVrV0JDQ8nNzSUjI+O+d/EY+4OlpaU16g/m4eHRKBDSarV8/PHHPPbYY2zatIlXXnmFU6dOsWDBAgmEzCgiIoIJEybw+uuv8/zzz5Oens6CBQsAmDBhAunp6eTk5PDII49QUlLC0aNHAXjyySepqakxfX4kqV20F5JALcQ9KCgoIDw8nGvXrtGnTx8SExNxcXHh5MmTrFy5ktWrV/PTTz/xpz/9iQ4dOqDX65kzZw7R0dGtMj6DwcDy5cvZtm0bsbGxppYI9Y9fuXKFkpISVCqVqYnmndTU1JCdnY1Wq8Xe3h6lUomLi0uTN8Pa2lr27dtHbGwsxcXFzJgxgylTpphmHoT5FRUV4erqyieffMKf//xnOnfuzMCBA5k9ezaRkZFERkYSGBjI3LlzmTNnDqGhoURFRTXYSSaEhZDdZEJYqwMHDvD666+zYsUKBg8e3Oh4bm4uV65cISQk5Ja5PffaHywjI4O4uDj+/e9/M3LkSGJiYlCpVHLzbKNGjBjB9OnTefnllwH49NNP2bVrF//5z3/YuXMny5Yt4/Dhw+Tn5+Pm5mbm0Qpx3yQYEsKaXblyhUmTJjFr1iymTJnS6HhZWRkpKSn069evQe5T/f5gPXr0QKFQ3LI/WHl5Odu3b2fjxo106dKFyMhIXnjhBYuogG3tduzYwXvvvceZM2e4fv06H374IUOGDCEmJgadToder7/rmUMh2jAJhoSwdmVlZURERNCrVy/ef//9Rju2amtrSUlJoXv37jg4OKDRaNDr9SgUCjw8PJrsSK7X60lKSiIuLo7jx4/z/PPPExUVRd++fWUWyMJ06tSJQYMGYWdnx6BBg1i0aBGurq7mHpYQzUmCISHEr8HLBx98wOHDh1m7di0uLi6mY6WlpajVarKzs7Gzs0OlUt1y+31BQQFbtmwhMTGRvn37Eh0dzahRo5oMmCzB9evXmTFjBjk5OdjY2PDHP/6R2bNnm3tYrWrdunXY2dkxbdo0cw9FiJYiwZAQ4v/s3LnTVEDv8OHDbNu2jWXLluHv74+rqyu5ubmkpKTg6elJSEgI8Ov2+UOHDhEbG8svv/zClClTmDFjBj179jTz1Tw4rVaLVqtl8ODBlJaWEhoays6dO1t8558QolXdVTAkdYaEsAIGgwEXFxd69+7NH/7wB8aMGUNCQgK9e/c2nePp6UlWVhZTp05lzpw5ZGdn89133zF06FBef/11hg0b1q6ao3p5eZm293fv3p3AwEDUarUEQ0JYofbzm00I0UhxcTFLliwhNDSUdevW8cYbb5CRkUFeXh4bN240dR+HX3uJXb9+HV9fX/7+979z4cIFDh8+zJo1axg+fHi7CoRu9ssvv3D69GmGDRtm7qEIIcyg/f52E0JQU1ODi4sLhw4dYt26dTz++OO4uLiwe/duqqqqmDZtGj///DMLFizgiSeeICkpiU8//ZRffvkFT09PZs2aRUVFhbkvo0WVlZUxceJEPvvssxZrVyKEaNskZ0gIK7Z06VLWrl3LBx98QFhYWKMaQmvXrmXDhg0cPHiwXc4M1dbWMm7cOEaPHs28efPMPRwhRPOTBGohxIMrKirC2dnZ3MNodgaDgYiICFxcXPjss8/MPRwhRMuQYEgIIW7l8OHDPPHEE6hUKtOs19///nfGjBlj5pEJIZqRBENCCCGEsGp3FQy1vyQAIYQQQoh7IMGQEEIIIayaBENCCCGEsGoSDAkhhBDCqkkwJIQQQgirJsGQEEIIIayaBENCCCGEsGoSDAkhhBDCqkkwJISF+uabbwgODqZDhw6cPHnyluft27ePgIAAfH19+eijj1pxhEIIYRkkGBLCQoWEhLB9+3ZGjBhxy3N0Oh1/+ctf2Lt3L2lpaWzevJm0tLRWHKUQQrR9tuYegBDi/gQGBt7xnBMnTuDr60u/fv0AmDx5Mt9++y1BQUEtPTwhhLAYMjMkRDumVqvp1auX6c/e3t6o1eoH+jdl2U0I0d7IzJAQbdgzzzxDdnZ2o///4YcfMn78+FYfj3HZ7fvvv8fb25uhQ4cSFhYmM01CCIsmwZAQbdiBAwce6O8rlUquX79u+nNWVhZKpfK+/z1ZdhNCtEeyTCZEOzZ06FAyMjLIzMykpqaGLVu2EBYWdt//XkssuwkhhLlJMCSEhdqxYwfe3t4cPXqUsWPHMnr0aAA0Gg1jxowBwNbWli+++ILRo0cTGBhIeHg4wcHB5hy2EEK0OTYGg+Fezr+nk4UQ7cvRo0dZtGgR+/fvB2Dx4sUALFy40JzDEkKIW7G5m5NkZkgIcdeae9lNCCHaAkmgFkLctfrLbjqdjqioKFl2E0JYPFkmE0IIIUR7JctkQgghhBB3IsGQEEIIIayaBENCCCGEsGoSDAkhhBDCqkkwJIQQQgirJsGQEEIIIayaBENCCCGEsGr3WnTxrvbrCyGEEEJYCpkZEkIIIYRVk2BICCGEEFZNgiEhhBBCWDUJhoQQQghh1SQYEkIIIYRVk2BICCGEEFZNgiEhhBBCWDUJhoQQQghh1SQYEkIIIYRVk2BICCGEEFbt/wM3mGDzZmYOZgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "59a2311feab24ffcafab29d7e4cb5609", "version_major": 2, "version_minor": 0 }, "text/plain": [ "aW50ZXJhY3RpdmUoY2hpbGRyZW49KEZsb2F0U2xpZGVyKHZhbHVlPTAuMCwgZGVzY3JpcHRpb249dSdhbHBoYScsIG1heD0xLjAsIG1pbj0tMS4wKSwgT3V0cHV0KCkpLCBfZG9tX2NsYXNzZXPigKY=\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def plot_wire(alpha):\n", " alphas = np.linspace(-1, 1, 51)\n", " at_alphas = interpolate_alpha_range(alphas, down_hist, nom_hist, up_hist)\n", " bincenters = np.arange(len(nom_hist))\n", " x, y = np.meshgrid(bincenters, alphas)\n", " z = np.asarray(at_alphas)\n", " bottom = np.zeros_like(x)\n", " fig = plt.figure(figsize=(10, 10))\n", " ax1 = fig.add_subplot(111, projection='3d')\n", " ax1.plot_wireframe(x, y, z, alpha=0.3)\n", "\n", " x, y = np.meshgrid(bincenters, [alpha])\n", " z = interpolate_alpha_range([alpha], down_hist, nom_hist, up_hist)\n", "\n", " ax1.plot_wireframe(x, y, z, edgecolor='g', linestyle='--')\n", " ax1.set_xlim(0, 10)\n", " ax1.set_ylim(-1.0, 1.5)\n", " ax1.set_zlim(0, 25)\n", " ax1.view_init(azim=-125)\n", " ax1.set_xlabel('Bin Index')\n", " ax1.set_ylabel(r'$\\alpha_\\mathrm{JES}$')\n", " ax1.set_zlabel('Events')\n", "\n", " # add in 2D plot goodness\n", "\n", " for c, h, zs in zip(\n", " ['r', 'k', 'b'], [down_hist, nom_hist, up_hist], [-1.0, 0.0, 1.0]\n", " ):\n", " ax1.plot(bincenters, h, color=c, linestyle='-', alpha=0.5, zdir='y', zs=zs)\n", " ax1.plot(bincenters, h, color=c, linestyle='-', alpha=0.25, zdir='y', zs=1.5)\n", "\n", " ax1.plot(bincenters, z.T, color='g', linestyle='--', zdir='y', zs=alpha)\n", " ax1.plot(bincenters, z.T, color='g', linestyle='--', alpha=0.5, zdir='y', zs=1.5)\n", "\n", " plt.show()\n", "\n", "\n", "plot_wire(0.5)\n", "\n", "interact(plot_wire, alpha=(-1, 1, 0.1))" ] } ], "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": "3.7.5" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "0c25fd9ce0744f079530b62acb64e3d6": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.2.0", "model_name": "VBoxModel", "state": { "_dom_classes": [ "widget-interact" ], "children": [ "IPY_MODEL_bcbc217b0f6e49629db103d2fe6b12d7", "IPY_MODEL_92ee0b0e76434c7bb4802040cd7a8ef1" ], "layout": "IPY_MODEL_e3f90a9c9a924d5a81502bc32feaeff4" } }, "1407861b982645e881cf563cd31856cd": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.2.0", "model_name": "SliderStyleModel", "state": { "description_width": "" } }, 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ] } }, "3e7ebc468b474ed7b83c9ede45e4779f": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_c8f142b845b0449299186613727574f0", "outputs": [ { "data": { "image/png": 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ] } }, "430b397473c44b1da7b767ee95dc203a": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_8f1b4c16543c4199a7f72171b6576c67", "outputs": [ { "ename": "NameError", "evalue": "name 'histogram_down' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m~/.local/share/virtualenvs/pyhf-EFAVEj2h/lib/python3.6/site-packages/ipywidgets/widgets/interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m 249\u001b[0m \u001b[0mvalue\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 250\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 251\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 252\u001b[0m \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 253\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[0;32mand\u001b[0m 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