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@jbwhit
Last active July 14, 2024 22:11
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My attempt to create an automatic Voigt Profile Fitting program using PyMC and barak python libraries.
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{
"metadata": {
"name": "2013-04-13-youtube"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import YouTubeVideo\n",
"# My explanation of the the first part of this notebook.\n",
"YouTubeVideo('6ZJUWsx1KFg')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
" <iframe\n",
" width=\"400\"\n",
" height=\"300\"\n",
" src=\"http://www.youtube.com/embed/6ZJUWsx1KFg\"\n",
" frameborder=\"0\"\n",
" allowfullscreen\n",
" ></iframe>\n",
" "
],
"output_type": "pyout",
"prompt_number": 105,
"text": [
"<IPython.lib.display.YouTubeVideo at 0x113c84090>"
]
}
],
"prompt_number": 105
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Overview\n",
"========\n",
"\n",
"This is a completely self-contained ipython notebook. \n",
"I start with the problem that I'm trying to solve, with various explanations along the way.\n",
"\n",
"I'm also attempting to use Markov-Chain Monte Carlo and various python packages to solve these problems. \n",
"I've been convinced that some version of Bayesian analysis is the way to go about solving this problem, but I can't match the explanations that I've read with how to solve my problem. While I'm an expert in absorption spectroscopy, I am a complete amateur at this kind of analysis -- so if you see me doing something that you think is *weird*, don't assume that I have some really good really hidden reason for doing that way, it probably is weird.\n",
"\n",
"Also, I'm at the point where I'm not sure if I'm taking the right approach. I half-way assume that someone will see what I'm doing and immediately say, \"why don't you just use the parallel-tempering-markov-chain-monte-carlo implementation in emcee?\" and I will respond, \"because I didn't know that thing existed!\"\n",
"\n",
"In other words, please give feedback! Ask questions and offer suggestions!\n",
"\n",
"The Problem\n",
"-------------\n",
"\n",
"The work I do involves some tricky stuff, so let's start with a toy example that is hopefully easy to understand, and then move onto the tougher stuff."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is a toy example of the kind of thing I'm looking at: \n",
"\n",
"<img src=\"http://upload.wikimedia.org/wikipedia/commons/d/d7/Cumulative-absorption-spectrum-hubble-telescope.jpg\">"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Where it shows a bright background light from a background [quasar](http://en.wikipedia.org/wiki/Quasar) and the effect that each of the intervening clouds of gas have on the background light (absorption). Finally, the light we detect with telescopes is the background light minus all the absorption that it encountered along its journey."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's worth taking a look at the Wikipedia article on [spectral lines](http://en.wikipedia.org/wiki/Spectral_line) if you're interested in getting an overview of the physics. It includes the helpful examples.\n",
"\n",
"Continuous spectrum:\n",
"\n",
"<img src=\"http://upload.wikimedia.org/wikipedia/commons/5/57/Spectral_lines_continous.png\">\n",
"\n",
"Emission spectrum: \n",
"\n",
"<img src=\"http://upload.wikimedia.org/wikipedia/commons/a/af/Spectral_lines_emission.png\">\n",
"\n",
"Absorption spectrum: \n",
"\n",
"<img src=\"http://upload.wikimedia.org/wikipedia/commons/b/b8/Spectral_lines_absorption.png\">\n",
"\n",
"Where the relationship between absorption and emission should be easily seen (they are the reverse of each other). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Of course, the real thing we see is much more complicated; it looks more like this:\n",
"\n",
"<img src=\"http://www.ucolick.org/graphics/echelle_lg.jpg\">\n",
"\n",
"But we're going to zoom WAY in on this kind of data. \n",
"Anyway, let's dig into some code to start modeling what's happening out in the universe!"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Toy Example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pymc as mc\n",
"import numpy as np\n",
"import datetime\n",
"from scipy import constants\n",
"c_light_kms = constants.c / 1000.\n",
"\n",
"# grab it from http://nhmc.github.io/Barak/\n",
"import barak\n",
"from barak import absorb\n",
"from barak import convolve\n",
"from barak import voigt\n",
"from barak import pyvpfit\n",
"\n",
"import matplotlib\n",
"import matplotlib.pylab as pylab\n",
"from matplotlib.backends.backend_pdf import PdfPages\n",
"pylab.rcParams['figure.figsize'] = 16, 8"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def VoigtAbsorption(tau_array):\n",
" return np.exp(-tau_array)\n",
"\n",
"def GaussFunction(wavelength_array, amplitude, centroid, sigma, *args, **kwargs):\n",
" return amplitude * np.exp(-0.5 * ((wavelength_array - centroid) / sigma)**2)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Instrument detection region\n",
"wavelength_array = np.arange(5010, 5030, 0.02) # The units in wavelength will be in Angstroms\n",
"\n",
"\n",
"# Create some physical clouds\n",
"# each clouds is fully specified by 3 numbers: \n",
"# An amplitude, a centroid, and a sigma-width\n",
"\n",
"# cloud one\n",
"amplitude_one = 0.85\n",
"centroid_one = 5017.5\n",
"sigma_one = 1.2\n",
"\n",
"# cloud two\n",
"amplitude_two = 0.35\n",
"centroid_two = 5018.1\n",
"sigma_two = 0.7\n",
"\n",
"tau_array_one = GaussFunction(wavelength_array, amplitude_one, centroid_one, sigma_one)\n",
"tau_array_two = GaussFunction(wavelength_array, amplitude_two, centroid_two, sigma_two)\n",
"\n",
"total_tau = tau_array_one + tau_array_two"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pylab.plot(wavelength_array, tau_array_one, color='blue', label='comp_1')\n",
"pylab.plot(wavelength_array, tau_array_two, color='red', label='comp_2')\n",
"pylab.plot(wavelength_array, total_tau, color='black', label='combined', linewidth=2.0)\n",
"pylab.ylabel(\"Optical Depth\")\n",
"pylab.xlabel(\"Wavelength (Angstroms)\")\n",
"pylab.legend()\n",
"pylab.title(\"Toy example\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 4,
"text": [
"<matplotlib.text.Text at 0x1138ab310>"
]
},
{
"output_type": "display_data",
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Qb3/7W0nSvffeW+wMLqcoA6juQkNDlZSUpNWrVys2NtboOOVS8D1s2rTJeusg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\nIkjAFUIIIYQQQgixIvwDWzQ9wQ0jWYYAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I have suggestively labeled the y-axis: [Optical Depth](http://en.wikipedia.org/wiki/Optical_depth) for a reason.\n",
"You can think of the optical depth as the 'thickness' in units of [mean free path](http://en.wikipedia.org/wiki/Mean_free_path). \n",
"\n",
"A loose way of thinking about it as you look at the plot above is \"non-normalized chance of background light being scattered vs. its wavelength\". \n",
"We don't detect optical depth directly, though, we have to infer it by the reduction in the background source's intensity. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Error, noise, etc.\n",
"onesigmaerror = 0.02 # error and noise normalized flux\n",
"noise = np.random.normal(0.0, onesigmaerror, len(wavelength_array))\n",
"\n",
"flux_array = VoigtAbsorption(total_tau) + noise"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f, (ax1, ax2) = pylab.subplots(2, sharex=True, sharey=False)\n",
"ax1.plot(wavelength_array, total_tau, color='black', label='combined')\n",
"ax2.plot(wavelength_array, flux_array, color='black', label='flux')\n",
"f.subplots_adjust(hspace=0)\n",
"\n",
"ax1.set_title(\"Toy example\")\n",
"ax1.set_ylabel(\"Optical Depth\")\n",
"\n",
"ax2.set_ylabel(\"Normalized Flux\")\n",
"ax2.set_xlabel(\"Wavelength (Angstroms)\")\n",
"ax2.set_ylim(0, 1.1)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 6,
"text": [
"(0, 1.1)"
]
},
{
"output_type": "display_data",
"png": 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bDR8+3HQUAABwG5yi4DZp0kQzZ86Ul5eX/Pz8FBYWJnd39+zXrVarGjZsqOnT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7y8vMjKymLu3LmsW7eOTz75BIPBgKenJzk5OaaCKyIiItVL/8oUkWpTv3591q5di6urK/Xq1cPX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\nggRcIYQQQgghhBDrwj/PX474VUOb/QAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This plot shows the subsequent \"dimming\" of the background flux as a function of wavelength. If the flux went all the way to zero, it means that no light is getting through at that wavelength (and that is called saturation). \n",
"\n",
"Again, this \"dip\" in the flux (intensity) shows up as a dark band on the colorful examples above. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The example is of a blended line -- meaning it has overlapping features. We have explicitly coded them in as the two Gaussians. So, how does one fit for this structure when all you see is a single dip in the flux spectrum? It's tricky, and will only get trickier from here on out...\n",
"\n",
"Quick thanks to [Cameron Davidson-Pilon](http://camdp.com/) for answering my [stackoverflow question](http://stackoverflow.com/questions/15184293/fit-two-normal-distributions-histograms-with-mcmc-using-pymc) and is working on the very cool: [Probabilistic Programming and Bayesian Methods for Hackers](https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers) book (ipython notebook!)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"PyMC implementation \n",
"----------------------"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"estimated_variables = {}\n",
"height_lower = 0\n",
"height_higher = 3\n",
"wavelength_lower = wavelength_array[0]\n",
"wavelength_upper = wavelength_array[-1]\n",
"sigma_lower = 0\n",
"sigma_upper = 5"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fitComponents = 2\n",
"\n",
"estimated_variables = {}\n",
"for component in range(1, fitComponents + 1):\n",
" estimated_variables[component] = {}\n",
" estimated_variables[component]['height'] = mc.Uniform(\"est_height_\" + str(component), height_lower, height_higher)\n",
" estimated_variables[component]['centroid'] = mc.Uniform(\"est_centroid_\" + str(component), wavelength_lower, wavelength_upper)\n",
" estimated_variables[component]['sigma'] = mc.Uniform(\"est_sigma_\" + str(component), sigma_lower, sigma_upper)\n",
"\n",
"#std deviation of the noise, converted to precision by tau = 1/sigma**2\n",
"std_deviation = 1./noise**2\n",
"\n",
"estimate_profiles = []\n",
"for component in range(1, fitComponents + 1):\n",
" @mc.deterministic( trace = False) \n",
" def func(x=wavelength_array, \\\n",
" centroid=estimated_variables[component]['centroid'], \\\n",
" sigma=estimated_variables[component]['sigma'], \\\n",
" height=estimated_variables[component]['height']):\n",
" return GaussFunction( x, height, centroid, sigma )\n",
" estimate_profiles.append(func)\n",
" \n",
"@mc.deterministic( trace=False )\n",
"def mean(profile_sum=estimate_profiles):\n",
" temp = profile_sum[0].copy()\n",
" for component in range(1, fitComponents):\n",
" temp += profile_sum[component]\n",
" return VoigtAbsorption(temp)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"observations = mc.Normal(\"obs\", mean, std_deviation, value=flux_array, observed = True)\n",
"trymodel = mc.Model([estimated_variables[x][y] for x in estimated_variables for y in estimated_variables[x]] + [std_deviation])\n",
"map_ = mc.MAP( trymodel )\n",
"map_.fit()\n",
"\n",
"trymcmc = mc.MCMC( trymodel )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"starttime=datetime.datetime.now()\n",
"trymcmc.sample(iter=10000, burn=6000, thin=2.0)\n",
"fit_time = str(datetime.datetime.now() - starttime)\n",
"print \"\\nTook:\", fit_time, \" to finish.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \r",
"[****************100%******************] 10000 of 10000 complete"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"Took: 0:00:09.020845 to finish.\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fit = {}\n",
"fit['total'] = np.zeros_like(wavelength_array)\n",
"for fitcomponent in range(1, fitComponents+1):\n",
" fit[fitcomponent] = GaussFunction(wavelength_array, estimated_variables[fitcomponent]['height'].value, estimated_variables[fitcomponent]['centroid'].value, estimated_variables[fitcomponent]['sigma'].value)\n",
" fit['total'] += fit[fitcomponent]\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f, (ax1, ax2, ax3) = pylab.subplots(3, sharex=True, sharey=False)\n",
"ax1.plot(wavelength_array, (flux_array - VoigtAbsorption(fit['total'])) / onesigmaerror)\n",
"ax1.hlines(1, wavelength_array[0], wavelength_array[-1], color='red', linestyles='-')\n",
"ax1.hlines(-1, wavelength_array[0], wavelength_array[-1], color='red', linestyles='-')\n",
"ax2.plot(wavelength_array, flux_array, color='black', linewidth=1.0)\n",
"for fitcomponent in range(1, fitComponents+1):\n",
" if fitcomponent == 1:\n",
" ax2.plot(wavelength_array, VoigtAbsorption(fit[fitcomponent]), color=\"green\", label=\"Fit\")\n",
" else: \n",
" ax2.plot(wavelength_array, VoigtAbsorption(fit[fitcomponent]), color=\"green\",)\n",
"ax2.plot(wavelength_array, VoigtAbsorption(tau_array_one), color=\"red\", label=\"Actual\")\n",
"ax2.plot(wavelength_array, VoigtAbsorption(tau_array_two), color=\"red\",)\n",
"#ax2.plot(wavelength, profiles[2]['flux'], color=\"red\")\n",
"ax2.legend()\n",
"ax3.plot(wavelength_array, flux_array, label=\"Measured\")\n",
"ax3.plot(wavelength_array, VoigtAbsorption(fit['total']), color='green', label=\"Fit\", linewidth=2.0)\n",
"ax3.legend()\n",
"f.subplots_adjust(hspace=0)\n",
"ax1.set_title(\"Toy Example fit took: \" + fit_time)\n",
"ax1.set_ylabel(\"Residuals in sigmas\")\n",
"ax2.set_ylabel(\"Fit by component\")\n",
"ax3.set_ylabel(\"Total fit to normalized flux\")\n",
"ax3.set_xlabel(\"Wavelength (Angstroms)\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 12,
"text": [
"<matplotlib.text.Text at 0x1138f0b10>"
]
},
{
"output_type": "display_data",
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ffjvp06cPWbBgAREEwWP/iRMnksTERGKxWDSPuWXLFhIREUESExM9/i1btozs27ePpKam\nuuMUXS4X6devH5kxYwYhhJD169eTvn37kiZNmpA//elPZMqUKeTJJ58khNAY3IiICHcWX0IIadWq\nFdm6dav785gxY9yxtPPnzyf9+/cnb7zxBklPTyePPfYYOXr0qHtfZRblbdu2kYkTJ5IbbriBtG7d\nmkycOFHzGiMiIjRjcC0WC3n88cdJeno66d27t+rvN23aRAYMGEBSU1PJzJkzCSGE/Prrr2Ts2LGk\nTZs25PXXX/eIXc3PzyevvfYaadOmDRk3bhzZt2+fe9v48ePJW2+9RQghpKqqiowdO5YMGzaM2O12\nsmjRItKlSxfN63A6nWTy5MmkefPmpEOHDmTu3Lke27t06UIWL17s/pyXl0cGDhxIkpOTycCBA8np\n06c99p8zZw5p3749ad68OZk8ebLHs3r22WfJs88+6/5ssVjIE088QdLS0kjXrl1Jdna2e1t5eTm5\n9dZbSUJCArn55pvJe++953Ge6dOnk/vuu0/XsTIzM4nBYPCoi40aNfI43j/+8Q/SunVr0rp1a4+M\nyoTQejFq1CiSnp5Obr/9dpKZmUmcTqfq/VTWiwEDBpDk5GTSvHlzMmHCBLJhwwbV33E4HA6ndjAQ\nwv1oOBwOhyPx97//HadPn8aCBQvCXRS/fPXVV5g3bx7PXMvhcDgcDgcAEBXuAgA0xuf3v/89WrVq\nhaysrHAXh8PhcK5bSkpK8MUXX2D16tXhLgqHw+FwOBxOwNSJGNz//ve/uOWWW2AwGMJdFA6Hw7lu\nmTNnDjp27IgJEybg1ltvDXdxdMHWpuVwOBwOh8MBgLC7KF+6dAnjx4/Hm2++if/85z/cgsvhcDgc\nDofD4XA4nKAIu4vyyy+/jPfff99jbTslfHaew+FwOBwOh8PhcBo2obC9hlXgZmdno2nTpujZsye2\nbNnic1+eC4vDqX0yMzORmZkZ7mJwONcd/N3jcMIHf/84nPAQKqNmWGNwd+3ahZUrV+J3v/sdRo0a\nhU2bNlVr3UUOh8PhcDgcDofD4Vy/hFXgzpgxA/n5+Th37hy+/fZbDB48uF4sS8HhcDgcDofD4XA4\nnLpHnciizOCxthxO3SIjIyPcReBwrkv4u8fhhA/+/nE49ZuwZ1HWg8Fg4DG4HA6Hw+FwOBwOh9NA\nCZXmq1MWXA6Hw+FwOBwOh8PhcIKFC1wOh8PhcDgcDofD4TQIuMDlcDgcDofD4XA4HE6DgAtcDofD\n4XA4HA6Hw+E0CLjA5XA4HA6Hw+FwOBxOg4ALXA6Hw+FwOBwOh8PhNAi4wOVwOBwOh8PhcDgcToOA\nC1wOh8PhcDgcTljZsgWoqgp3KTgcTkOAC1wOh8PhcDgcTlh58kng/Plwl4LD4TQEwi5w7XY7+vTp\ngx49euCOO+7Ahx9+GO4icTgcDofD4XBqEUEAXK5wl4LD4TQEosJdgNjYWGzevBnx8fFwOBzo3bs3\nRowYgfbt24e7aBwOh8PhcDicWkAQAKcz3KXgcDgNgbBbcAEgPj4eAFBZWQmn0wmj0RjmEnE4HA6H\nw+FwagtuweVwOKGiTgjcqqoqdO/eHc2aNcNf//pXtG7dOtxF4nA4HA6Hw+HUEtyCy+FwQkXYXZQB\nICIiAocOHcL58+cxfPhw9OvXDz179vTYJzMz0/3/jIwMZGRk1G4hORwOh8PhcDghp6qKilsucDmc\n64stW7Zgy5YtIT+ugRBCQn7UajBlyhS0b98ezz77rPs7g8GAOlZMDofD4XA4HE4IcDiA2Fhgzx6g\nT59wl4bD4YSLUGm+sLsoX7t2DeXl5QCAkpISrFu3Dg899FCYS8XhcDgcDofDqQ0Egf7lFlwOhxMK\nwi5wCwsLMXjwYHTv3h2jR4/GlClTkJ6eHu5icTgcDodzXVNX1iTduhV44olwl4JTk3CBy+FwQknY\nY3C7deuGnJyccBeDw+FwOBzOb1y6BNx1F3DuXLhLApSW0n+chgsTuDyLMofDCQVht+ByOBwOh8Op\nW9jtNC6yLuByccteQ4dbcDkcTijhApfD4XA4HI4Holh3rGlOZ90pS03QkK9NL9yCy+FwQklQAtdR\nV6Z1ORwOh8PhhJy6JCrrUllqgptuAiyWcJcivHALLofDCSW6BO6oUaNgMpngcrnQp08fdOjQAV9+\n+WVNl43D4XA4HE4YqEtrkjZ0F+UrV4CKinCXIryoCdyqqoY9scG5fjlxAlizJtylaNjoErjHjx9H\nUlISli9fjt69eyM3Nxfz5s2r6bJxOGFlxgxg48Zwl4LTkOnVSxrYcTh1Ce6iXHs4nUBlZbhLEV7U\nXJQXLABeey085eFwapItW4Bvvw13KRo2ugRufHw8rFYrFi5ciDFjxiA2NhZms7mmy1Ytrl7llYdT\nPY4cAY4eDXcpOA2Zw4dpMh8Op65Rl0RlXbImhxpC6H3mLsr0r/w5l5VxyzanYWK388ntmkaXwH3h\nhRfQq1cvNGrUCH379sX58+eRnJxc02WrFgcPArNnh7sUnPqMKAIlJeEuBaehwga2vJPj1EXqkgXX\n5ao7ZQk1okj/cgsu/SsXuIIg3R8OpyFhs/mv2zYbn/iqDroE7ujRo3Hy5EksWrQIANC2bVts3ry5\nRgtWXRpyhxgqBg6sO8tA1EW4wOXUJKxz4wM4Tl2kLllN65I1OdSwe3y9D2TVXJRFse7UQQ4nlOix\n4H7+OTB9eu2UpyESpXfHU6dOYe3atSgrK4PBYAAATJs2rcYKVl0acocYCkQR2L4dsFoBozHcpamb\niCJQWhruUnAaKterwF2xAli7Fpg1K9wl4fjC6aRJfggBfuvyw1qWhip0uAWXomXBbajPnXN9o8eC\nW1nJXfSrgy6BO2PGDOzZswc5OTl47LHHsGLFCgwfPrymy1YtGnrWxepSVkb/8nukDbfgcmoS9u5d\nby7KpaXAtWvhLgXHH2zwVVUFREaGtywN2SOL3WduwaV/ucDlXA/oseCKIjVCcYJDl4vy8uXLsXz5\nciQnJ+PDDz/E9u3bcfDgwZAUID8/H3fddRe6dOmCjIwMLF68OCTHrS0L7vr1wHvv1fx5Qg0XuP5x\nOrnA5ejj2DFgyZLAfnO9WnBdrvp9zcXFwOjR4S5FzcP6hrogLBuyRxa7z9yCS/8qXZTrc1vB4Whh\ns+kTuDZb7ZSnIaJL4BoMBkRGRqJTp044evQokpOTURoi383o6Gh8+OGHOHbsGH744QdMnTrVb4Zm\nPTOdtTXje/w4zbZb32CP73oRuA4HEOjSzdxFmaOXX36hrreBcL0KXKezfluti4uBnTvDXYqap64J\n3FD3VQ4Hdb8ON9yCS+EWXM71hN3uv+/nFtzqoUvgjhgxAmVlZXj22Wfx6KOPomPHjnjuuedCUoDm\nzZujR48eAIAmTZqgS5cu2Ldvn+b+paVAp07+j1tbMTvl5fUzUROz4F4vg+v8fOCddwL7DXdR5ugl\nmJT/7N2rz2IvGJzO+t3uOJ3Xx6w6e0Z1QWDUxIT1iBHA/v2hPWYw8CRTFC5wOdcTeiy4dbmvuXYN\nePPNcJfCN7oE7ltvvYXU1FQMHToUJ0+exNmzZ/HCCy+EvDCnT5/GsWPHcPvtt2vuU1kJXLrkf4BU\nUxZc5ZqV9VXgXm8W3GDcIkURMJuvPwHCCRyHI7j6Jf97vaC2NNKECfXHRVMUr4+1i+uaBTfU5TCZ\n6oaHDk8yReFZlOsv+fnA/feHuxSUkyeBpUvDXQr/1HcL7vnzwLJl4S6Fb3QlmSKEICcnB7t374Yg\nCCCEwGAw4G9/+1vICmI2m/H444/jww8/REJCgtf2zMxMAKxDykBJSQaaN9c+Xk0J3H79gB9+AH73\nO/q5oqJ+CtzrLQY3WIEL0Drnq65xah+LBRg5ElizJtwloejprJTUJ4G7alXoBjBqFtysLCAzE0hM\nDM05bDYqYJo1C83x5Did14fAZc+orgjcUPdVLlfdeI7cRZnCLbj1lytX6k6o3t69wMqVwGOPhbsk\nvqnvMbjBTOprsWXLFmzZsiU0B5OhS+D+5S9/QV5eHvr06YOYmJiQF0IURYwcORJPPvkkHnroIdV9\nmMA9ehT45BMaB+VLdNSUi3JZmedMa3m5eicpinR24/HHQ1+GUMAtuP4RRSAi4voQuB98QAVM587h\nLok+9MRBHjsGdOlSO+WpjsCt6x4CLhfwwAO0rQhFNl21GFyHI7RC6scfgXXrgAULQndMBhPoLlf1\n78eOHUBeHvDUU6EpWyipSxbcmpiwdjrrxuQ0TzJF0RK49WEC8HrHaq079VcQAi9L//7Ad98BLVvW\nTJnUqO8W3GDCsrTIyMhARkaG+/M7gcYTaqBL4G7fvh1Hjhxxr38bSgghmDhxIrp27YqXXnrJ7/7s\nhhYX+96vpiy4guB5XC0L7oULwOTJdV/gXi+dRzBxf04n0KTJ9RGHu3490Lp13Re4EycCL71Ely7x\n9TytVqB379qz0DRkF2XW5opiaASu2mSTwxHayTaTqeaePSun3Q6oOBsFxIEDwKFDdVvg1oVJ0Jpw\nUfZlic/LA9LSgMaNQ3tONbgFl6LmoswtuPUDm42GcwWzZjYhwJgxwMKF1KBQXQQh8Hfp0iUaU1rb\nArc+W3CDmdSvbXRVp4cffhgLFiyAowamO3fu3IlFixZh06ZN6NmzJ3r27Ik1PvwOWRH8CVzWIR48\nCPz6a+jKq7Q0aMXgCgLdVheyNKoRqIuyyQScOlVz5alp1OL+/CGKQEpK3Z1BCyWiSOtrXefgQaCw\nkE4syRvXU6c866fNRt/LqqraKVd1kkzV9U6CXVeoZmuVFlxCvCcOq4vVWnP3lbWZoRh4hFrYh5Lr\n2UX53XeB5ctDez4tajIG94UXqDdDfUAQgNhYz+fMY3DrB1Zr8B4RoggsXkz79FAQjMAVhNAKSafT\n//XYbPXfglvXxy66LLgDBgzAyJEj8cwzz8BoNAKgSweZTKZqF6B///6oCmAUqlfguly0kq1cSSvS\nbbdVo5AylDOK5eVAdLR6OdlLEx8fmnOHkkBdlFeupHFy331Xc2WqSVh9CGSGURTpLH5dcGOraZzO\n+iFwzWap86iqov8iIoA5c+jg6N136X7smYki8FuTVaMEY8Fl715dd1EOtSu10puiJoQUG3DVBHIL\nbnUJtWt2KKkvLsplZUBqauDH9GXBFYTa8/5wOmkbVhMW3OLiupFISw+CAMTF8Rjc+ggTYWYz7YeD\n+W1JSXDvsZJAXJSffx4YOjT0ltJVq4BvvgG+/157n4Zgwa3rYxddFtznnnsO2dnZqKyshNlshtls\nDom4DQZ2Q4uKfO/HLLh6Z35LS/U9LL0uyuxYStHw+us0+1i4KSuj7oaBWHDr+myNL9gzC6SzFEXq\ngljXX+JQoGfGsS7A6iF7r1idvHzZs36ywWltTU405CRTobbgKr0p2DMK5UC2Ji247LihEEB2e90Q\nkGpUR+B++WVoBZuWi7LVCtx8c/DH1HqGtZkpWxSB5OSaseCGMhFMTSMI1BigdFGuL+W/nmEiLJg6\nzH4bqomYQCy4165RYR3qCa3iYir2faE3yZTVWjc9QetD26JL4LZs2RK9evWqkQRTgeLPgmsy0dg7\nNuOrV+C+8AKwYoXvfQjxnHEnxLeLMiC5AjM2bwbOnvVfnpqmrIzGl+qtoOEUuC+/XH1XU/bMArkG\nUaRZXa8HC259cVE2m2lZmRjXErjsmXGBW31qwkVZfs1qsXfVpT65KIfiuplLfiipjmX9X/8CzpwJ\nXVm0+nGHgw5QgxkA+nJRrm0LbkpKzVhw65NAZAKXuyjXP+QW3EBh7Wiocp34ErhKAS6K0jsSSkup\nnuVD9SaZYiE8dY364KKsS+B27twZAwYMwLRp0zBz5kzMnDkT//nPf2q6bKoIAnUx1RK4ubnA8eOB\nW3ArK/0P8F0uWtnkC7O7XIFZcOvK0gQ2G5011tt5MNfQ2oYQ4KOPqh+HEIzAdTq5Bbcu4XRKwkUp\ncAsK1K2Cep7d+vXAk09Wr2zVSTJV1+tXTbgo12cLrj8XZbMZGDEC0LPqQahicP/xD+Dzz6t/HDnV\nSTIVamHF+l7lRCcLOwnmXLVpwa2oAGbM0D5XcnLNCFwWKlUf4C7KNUdN9O1Hj0ptNxOH1RG4ahbc\n994L3CD9gUQnAAAgAElEQVTkcNDxvHLSq6gI6NHD8zsmcP3F4L72GnD1qv4y6Fk+lFlwfU3OsXat\nLsbhMu+j2spzEgy6BG56ejr+8Ic/IDIy0sNNORw4HHTJFi2Bm5cnLeHAxK2eBlIU/btXKC0NFRXa\nFj72ndKC63LVDZ96lgG0rrsos3td3c6fXSe34KpTHyy47P1UClxCqueiXFzsP6bfHzzJlH6UWZTZ\nM2ooMbhFRUB2NvDqq/6PFSoX5bKy4AexGzdSgaxEbsEN1ELqT+Defz9dxksvWu7S1bGm16bAnTIF\nePNN7XM1bkyf39mzwMyZoTtvsG6EmzcDr7wSunLoQctFmQvc6pGXB8hWYAkZL7wAbNtG/88EWKhd\nlFev9p/c9JFHgHPnpM+CQEWXsu83mbzH4ywxlr9xeVYWNZzppaLCd39ZVUW3R0QAOTl0/KIGq/t1\nVeAC6u2Lw6E/dKQm9ZAugZuZmYnMzEy8/fbbePvtt93/DwcOB9CsmfZgPC9PEreBWHCZW4PTSdfO\n1HKHAqRt5eW0LIFYcH11qt9/T5eMkJOfTxPohBq7nYq3cFhw+/UD/vc/ffuGao3AYF2UrycLbl0X\nuCzsXylwTSZvi10gFly7vfqNLHdR1ubLLz3fX6UFV239y+pisYTPRTmQ+xUqF2W7PfiJuHPn1Adv\n7Dqzs4EJEwI7JrOKaHHxondf5wstgcs+ByNG/bkoh3Jic+5c7W3MRTkmBvj5Z5rQMVQEK3AvXgSO\nHAldOfSg5aJc19vHuk5FhdR3qlFV5e1tsno1HXv6gllKgdBYcNVclJnXli9yc+mynAzW7iiNImqT\n0KIo7eerDXG5/Of9kePPRdlup8m4jEbg3//WfudZ3a8LRjEl8kSeattOn/Y/MXrgAHDPPaEvG0OX\nwB0xYgQefPBBjBgxwv3/F198EWvXroVQy6N/QaDuPL7WrwOkgQMTuD/+6PuFZRbcixdpZ692WWoW\n3CZN6PGVZnqtGFxfM0U//QRs3+753b59wNdfa5c7WJjADTYG9/hxYPbswAelJhOwa5f/xpPB7nVt\nC1y2f1xcw7Pgqj2z+uCizDpPucB1OqXZT/k7G4gFNxQCt6ZdlG220C53FgjVdVH+979pZ8dQxuAG\nY8ElxHfnGU4XZYeDhtHoOX+oLLg2W2Aiz24HbryR/p+56QGe95RdZ3Fx4JNf/iy4giD11Xpg90jL\nghuMwK3tJFNxcdrnio4GWrWifWMozxusq7jdXvv9AXdRrhn8xZOfPQuMH+/53axZtC76Oy4Tn6GI\nwVWz4Dqd/vtmp9NznM3aMuWYUW0SUC5wfZ3H6QxM4PpzUWYCNzqatq1afUBdd1EG1NsXFjri7929\nciUw1+9A0SVwu3TpApfLhUcffRQjR45EVVUVRFHEl19+iX/96181VzoVHA59Atdul8StKALz5lGx\nyDh3Dhg4UOrQmQWXDcTUHppS4JrNQFISnXlVVuZgLLh2u/f+5eXqs28zZwY/4GTJsqpjwX3mGeDP\nf/Z0DdHD0qX0b0qKvv19WXDffddz4OwL9sz03jM26DAaG5YFt7IS6NDB+/v64KKsJnBFURK4wSaZ\nstvV38kHHvB89gcP0hlHrWPUpAV3926abC1Qli2rfv2trgVXOUhlCQDZpGAwAnfJEuD//k97eziT\nTAkCbVv1WnBDMYAPNMmUw0EncwFPgTt8OLBhg/Q9EJwI1yNwWdt98SLQt6/v56kVD1wdF2VfFtxQ\nClxWz7Vi1UQRiIoCWrem73l1zqscKwRrwXU4wiNwuYty6HE4fLcN8vefwfLL+EIuDq1W+ux27KB9\nTiDIlwlSO4c/cSeKnuLYlwWXhTTJf6u0QqtREwI3Lo5qh7Iy3wI3KqpuWnBZO6XWz7F31l+fVFFR\ns+2MLoG7du1aLF26FOPGjcP48ePx/fffY/fu3fjqq6/wYy2vIu5P4Obm0r92O+1QWBY+pVvcmTPU\nWrp4Mf3MKrovgat0URYEKoCMRu8HGUwMrt3uvX9ZmbrAnTGDzn4EA3tpjMbABK5ajGOgsbHMlUTv\nYNmXwF27Fjh5Ut9xlBbc3FyamEgLdo/UJi/qMxaLerxpfXJRllubmcCNi1Ovn3qto/J3MjOTtg+r\nV3s2vkuWAD/8oH6Mmha48tnyQJgyJTBLmda55X+D+b38GpXx8HIX5R079K1TffWqd1sppyZjcOXC\nTw0mcPU811BmUQ5EGLEQHhYPLQi0TVyzRpowkltHA72X/lxL5Rbc06dp/zJvnvYz9ReDG2oLbiiz\nKPtbos7plCy4588H398UFADdunl+50vgrl9P1+tUI1wW3FBmUT58GHjoodCUrT7jz91eOTYG6HjL\nX7skz1ZsswFNm9I+8rvvPPf74gvfz9BmAxo1Cr0FV03gAt59kR4LbqhdlG02/Rbc5OTQWnA//jg0\nfaM/Cy7gvy0zmXy7z1cXXQK3cePGOCWL9M7NzUVqairi4uJg0DMaCSG+XJRLSmhFSUnxHOAyK678\nJXa56EDqgw+k/SwWqdPVY8F1OKgAUhO4giBVXjm+OlWbzXt/LYHrcASfeIm5R0RFBZ9kisWnBuo6\n7HDQTkxvJ+7LRVkeAwLQNc20UA6qP/0UWLTIc5+CAsmKwAYdNW3BzckJfqIiGLQsK2w2VhSBzz6r\nvfIEgtKCGxEhTUw1bqyemTcYF+V162hii6oqz/rlK3FEMNlK5RNl/tAzk631u+rmA6yui7JykK28\nbrkFl7WN/jo9fxbacLsoJyTUTRdltqaivA9j8bILF9Lv5BNJvspICI3PVSIXzlrILbhWK9CmDXDv\nvXSArIY/F2Wtwel772m3Af5clEM1sely0XGCVrIuuYsyoF6mIUP8vxOnTnmLUl+W9J07gU2b1Lc5\nHDU78FRDy0U52Pf42rXa61sPHvQOL1NiNtdMpmx/qFlwJ06UXJCVISOAJHANBu0JUnmfZLXSfDQ2\nm/ck1Suv+H4ONhvQsqW2wJX3e5cueYfs6XFRfvRRqQzye6E3BjcYC66v/lJuwdUjcG026l0TSGI+\nLd54IzRrDvuKwQ3EghtMgk696BK4M2bMwNixY9G9e3d0794dY8eOxfTp02GxWDBu3LhqFWDChAlo\n1qwZuimnHjVwOKhbsFqHlpdH3S+jo6XKymaf2Yyyy0WDmgWBdqhXrtCZ60AsuHJ3V6ORikWHAygs\n9LR2NGtWfQsuc1FWdoy+1vryh1zg6u08lC7KgkBFRaBlYM9P7+DBlwVXEKTvc3PpIEALpQVXELwH\nA+fP04yibL/o6NBZcLUax/feA2pzxS0tly+nk3ZmV68CkyfXzYXFlUmmGjeWBqJKi5k/gSt3F1QK\nXPngTilwtY7HRIDyvi1frn09ahbcoiL1uhJOgVsTLsqsbID6MkH+4r/qgsD156Ks14JbGy7K5eW0\n/o4aBWzd6jnJwCZ/CwvpOyV/zwBtC+7Vq3Q5pM2bPb/X45kgCLRM5eW07PHx1E1ZyyNHy0XZX5Kp\n//xHu+2tLRdllwuIjKT/1AayTifti5nAVXuO+/b5F5ynT3u/o74suPL+U4ndrs+KF0r0uijrnVRX\nc72tKX7+Wdu7h/HPf9ZuX89g77i8zzt5Unov1O6T/Nnn5GgfV2nBBTzHsITQtthX3bXZaN3XSjIl\nb2cPHwYWLPDeRy7YWA4E+dh0+3YpJEN+reFyUWYWXD0CNymJ3sPCQt9GHD2w5xGKvjFULsryv6FG\nl8Dt06cPjhw5glWrVuHnn3/G4cOHceeddyIhIQEvvfRStQrw1FNPYc2aNbr3dzioOwNzsZKjJnDZ\nAIK5YVit1DWHzaA8+qgUpyaPwVXr0JXZPpUW3Oeeo8dm27QErq8YXDUXZeVv2Lp/1RG4RiO9T9Wx\n4KamBmfBTU4OjcCVW3BNJt/3QzmoFkXvRleehCDUMbh33qnuEl1aSrNn15agZCn01daTTE2lnUxV\nVd2Me1JacNPSpM65UaPAXJS7dZNctZUxuHZ74AJXbTbT6aRLGGgJTDUhMGsW/ae2b7ACt7oJ2mrK\nRVl5XJdL+r8/a4i/Tro2sij7cm/Vm329tlyUP/wQ+OQTWoevXfO04LJ3yOEAbrhBvwWX3d933vH8\nnl23P4GbkiJlQI+LU/eEYgTroqy1Tn1VFW1zWWiBUnjUhMBVekzNnQvs3atuwV29GlixQtpXj5Uj\nUIHrq23w50lRVRX6uEA1F2VB8J44vPFGfW2hPzf5UGK1+q8v5eWe2X5rC7XJ3ooKz0kjNYHLtl+6\npH5cZQwuE7hyL0RmVPIncNPT1UWO0oKrVlY1C65yXWlBkAS0lgXXn4uy3mRIhASWZIrdIzWYwGVr\n5ur10unfX/u8wa4brnYsVkYl/trlO+6gY9+wCtyNv5mzfvzxRyxbtgy//PIL9u7di2XLlmFZoJHk\nGgwYMACpqam691daTeUwgRsV5S1wWScuX68rJoau1VRQIDX2ly/TTl6Pi7IgeApci4VWxLfeoi90\n27Z01kWOr5gCtSRT7MWVNxCsbLXlokyIZ4MH0GsPRuDa7YFZcPW6KPtLpKDHgit3M5UL3FBYcCsr\n1Z9XWRmtcwcPVv8celDWYYYoUusNmwkNdQbRUGAySdlpbTY6QGYWXKWg8GfBvXxZereYBZcNohwO\nSZTqdVFWa+zZd1qx3qJI30NludXKHKzAdTrD66LMEtr5isGVW3DZd4cPex/LYqFCqKpKW+A6ndQL\nI5zr4Kp5FGihFI/5+cFNdvmz4FZWSoMkthweK6uWwPVnwWXblTH9eiZE2KSUwyElqFHzlrFYgD/+\nMXgXZadT/b7In2FxMfD3v3uXr6YF7vr1tJ6LIt3WoQPQuTM9765dkhcDWzNTj8CVJ28D/FtwtcYQ\n7J5pDTzXraPPJZQoXZTZQDwiwtNSX1ysr08Oh8CdOJFac9WorPSd96OmUOsLy8s9BW5Vlee7Jbfg\napVZPp5mFtzERE+xybb7E7hpaep1kfX1DL0Ct3Fjz75bEKSxTU1bcCsrpXqslViOTerFxNDPeiy4\n/mKpGWYzbTvUzs2eR03H4Cr7diXnz3suX1VT4RBRvjZu27YNQ4YMQVZWlmqs7SOPPFIzpVIjKwsA\n4DjVDTE2M2IjO8L+0ybEN5Lubt6WXhj++6uIFjvCXmAHkAZHYQlioqoglhshHsqHLb4QwN0w7z6K\nmKJkGE+VwpGXAsHcDCWOKtissWiVbIG4fj+Q6zkydBxsAuBOuPYfBBrnw7H/dzBeToDRngrH+sMQ\nCrtA2HMBn33RFSNuv4qbUhz4+fzvQFb+7E6c4rIPgz3vCpDlvQigvXQIbACQtdH9Xfm5fgAaw/TT\nJjRrQVsAwRYJYDgsW/cBrkKv4/jDfr4RYsVeiLpYDKfFDmSd9bm/1R6JqqrhEM02IGsDAECsHIpU\nRxkse4qBxvqnJR1neyJJMMJx2qZ6D5Q4LycAGIzKnFwg65THNsF0NyoPXgKyTsJxOA2CuTeQtU71\nOK79rQD0hLhtF1BeAuF8L9iFSCBLWnvFvqs5BFNXIGsDxMsJiBb7IOZYLoSzTYCswBToj7ua45op\nBn++l/rFiNZhENbtAk551qnSgiHo0NyFguXH0fNSAD4wQSLkJQMYCOeKVYg2Si2gU7wfcWIlHFuP\nA7gD9hVr0Si5lvy7dGI+0BkpCW3gOJ6PqqobEWctgbgtF46jTZBoSUaxKQbI2gEAsB9sD6AzhL05\n2H3Rip0nUjHlYame263DYV29A8W/2GE/3QWEtIKwfBWM0VWwl98N076LADqicvOvgJ0G71RcGgRH\nlAnI8k6lbLfdj9gYAnHlOiCR9h52UwyAYbj84y50utXb/0o80h7x0TdBPF0IZFFFJ568hQqcLM+F\nScVfW8Nm64GqFVmI0OV389vv7PfBvOsEkHpe/48UCHvpuyP8chBI1l7fy2yNxI+70zF+iDTl73IZ\nQMgDcO7+FSD0ProKbgPQHMLqjUC6FY49LQH0guuX/RAiCFqmdUFRrt39LBmmUiPs9nuwd+YOWHPb\nQTTFAFl7PfbJvZiIP77eDw5HDIyRIpDl6R3kECOweGtLPHW3znXKVHAe64CoyJthO3IWyDrhtV3Y\n2xKJ5uYQHc2ALI3RLitP6V0w2p1AFjVZD39hEL57ZT9uaRPYzKGtfCjsly1Alrpvt/1kV0TGuiAW\nN4Flz0W47MUAhsCxehPEk20hlDaFcLESN0QApuMuIOsAnPm9AbSAvbD0tzq50/M+FNC22VlRCWRJ\nfspCiRHAPRD3HwJuuOhVFjqYewDxrko41u6H7cANiC+JhfFYBYRzTT3er5LiOKxdNQhd2pgBNIZz\nLa0z7jIcTwXQH/ZdOUC090jcJdwHx/pdwFlPpeZyRAC4H/ZiM4Sf98JSORjIkjIuiZZ7YC+yA1nb\nVO9nILhMMYisuguAAc6sDe72wXL2dog5V+G0RCPaGoWbjp/EkRlA9CMPwHLkt7Yq6zjsDtrfi+u3\nAHnas1WncwYBSIL4E23HCAEEYQTE8wVAlrefqZDXDZWXE4CsPV7b7Lm3AmiLipVbgd95jz7Lt7XA\nsV87AVkaQbxBIJTdhfhz5+EqbApk7YXTaUBU5HBERhCIP61BlLEKFeW0TXWuWgv46Z/EPekQKzqH\ntIxaWE90g70yGhZ7FArirgAu73pfmfd7XLqcAGRt9dpWXBGD4oqYgN97PQj72gK4FY6stUAKvWcV\npffB+ethIKEAzsNpAPpC/GkVImOqIIgGiOIDcB06AqAbCn5Vrz+i7V5Ycq8CWQdgLcpANzEXo/s1\nwbz1rUFWroLBAFh/awtMm/YBDvWxqu1wJzQ2umC3d0TVimyP/s1pGQrrqSL3WNG5Nx2O4g4e76XT\ncR/Kzpnd/YVwtR9SIyJg2XsJaEqX+RAc96P0eBGA5hDWbAJa0rG00zwEFjsBkAD7hSse40E5Tsd9\nsAlRsP2wCnFGDdX6GxXXYpES2x+iIwaOZWtU91/0YQ/0a2bF6otNAaTCefwUkJXrfV7bMCSZi2Db\nVw6h4kY4dh4HDL7H/EJxLAgZCtN3q5GS6KlkLcVxAO6GuG4zcKJ6dc1x+U4ATSBs3A5c8rTMOc8l\nARgEx4btQL539lKn9R6Ia3ei4lRnAOmoWL0L+7c6EZtsRJcJfapVLjk+Be47v/keffXVVyE7YbBk\nTpkCANhz5XYknEpBrJgJ+/wlQKzkfH/68Ex0qFqMKNNLsNssANLgKLiGiEgBoiMFwq59sJ3ZA+Bu\nVG7LQYy1GYwlx2G/1h2iJRXF5QloHluGmIpyiN8vB5I9hZ9Q1BvAnXBu2QGcWwvhzMOIcaTCWNoZ\njh+y4ChoCnHDVoi2Tig/VoDOqScRT5ri2qff4gYj7SSctsGwnThPF5FVYK/oB5srxmNbWX53GCMS\nYVq0Ekg5Q8shJAIYDsvaHcDxjV7H8YejvANiy1sg6ugROKNNQJFva7zJnooIDIOz0u4um2gZhNSC\no6gsvwRc0m/Nd+S+hiQY4CgWVe+BEqe5FYDBqPz1OGCd53ks80BU7j8FOGbDXtQbgvVWzWM6Lw4F\n0BPiyjXAngMQT7+OCrERMHs2CAFGHXgFI5puhWBqD8yeDdHcGtHmDjBuWwdHYV9dZZWTe/pRXHWk\nABfnAgBE2xA4vvvJ/QwZpaVDcEvqKZiytwEHqj+Y8odQ2hnAQIhzv0ZcNJ2yJARwukbAWH4FjlUb\nANwB+1ffAnHVDPgIMaYjz6FxVTwsB04hxtAa0YX5EFeugVDSHY1sTVBQ2cr9nBynRgPoDMfGHThp\nqMIvRb2BYrqNEMAujMCZhbvw4LGn0Sf1FIBWsM9eAGO0FQ7zQJj3ngDQEebV24EjdPBeUXQHHMIF\nr7pQRQxwOu9HUrQF4vxFwG/vut2WBmAYLv+wG9izxet6xNxRiBebQDye6z6m89jTcJEI/PDOUfRN\nPYkWv7Vv4oVhAHrA9vnXSIjS71IgivfBvHU/UBBYtvtvCwagRWwpBqYdg/DbuyNs2Qmc0w4nOVLa\nCe8efBnjz0zDGUtzGEDQPLYMwAMQ12wEDlOB5DzfHEBziEuWAokFvx2/F1wbNqPKQNDKlYgr+ale\n91mw3gDgHiz/4ioslgiIYoL3PhW/Q6n5LhhQBdFe5bV9W3EPvHHwZTx19i33d1XEAAOIruzNACCe\nGo1GES1hzzkOCHO8tgsX70ZCaVcIzhYgX8z2eVxH2R1wVla6y1lZdBts367waif8YTPfBXtBiWY7\nZTsyGdFRVogl3WDZug/Ok78AGAJhyY8QLtwLoTQeDkcB2sQVo9DRGJg9G84zbwJoAfvlMkQaXF7H\nFs1tYIzoD7Gs0mObYG0K4B6IW3cDF73T9AquGMTgHhgriuD47idYi3sjzhUD46WzcBQM9DiWrbIl\n7PZBcF65BqAxXEu+BxIvu7e7SroA6A/b+h3AqfVe53KK98K+NAto7Bnc63TGAbgf9pJKCN8shdN1\nN8TP5yE6gppSRNtgOIrNAbf7argcKYh09IGBRMD51UIghorUynPtINr2QBQTEE0igdnfIBJAFO5F\nRc4ZxEUKwOzZsP/W3wvfe/cfcs5euhsRcEGY8zWMUTaIVVEARkDMO696HcLRF1BpbuOx7Zy1Gb6/\n3B8O8xkAbVHx7WogzTuzjT1/CC5c7QHh8y8RExEaVwmh9DbE790CZ2E/YPZsCE4jYnA3DFUEznlf\nA1E2lFe2BDAMzq+/AWJ9pFEHIF4aBLGibUieoT+sR16G3RkPmzMOZuuvOH40B50T8z3efcvpFrhU\n3lG1PD9euBe7SjtjQc/Ql9VxbgSAW+H4mvbpzqoIVNpGwLlxG5C7EWJRTwB9Icz5GrHRNlQKiQAe\ngGvHHgDdUHCsQr3+OIbBcuoSMHs2rCV3oG/OZxgVX4xvDN+j8n8L0SjKBqslHcA9MK3eCRzboFo+\n67GncUNcMWINv/Pq35yWQR7jZWfBQAjFTT3K4xTvRWmBzf2dcKUz0qLNsGw/DBT+QPtn1wiU5JUC\naA7HkmVAEjXKiOZ+oCayBNjOFmqPH8V7kRRlQcUX3yIu1vdyExXmNkh23AwTboAwdwHioj1dry7a\nmuDnHYNwdvD/YeO1TACpcO07CFQu8jqWaBuCRueOwHH1KhymlnCs2woc3+Lz/IKlOYChKJ3zI1IS\nPP2qrZUtAdwN8btlQNJ5n8fxhz2/AyKQCnF5FtDYc6LXWX4TgEFwLFul2n44bXdBWPIjKk7/GQmR\nKdi5cB5WXbUgPh4YcLFTtcrlAdHBRx99RCoqKgghhPy///f/yNChQ8nu3bv1/FQX586dI127dtXc\nLi/mmDGELFhAyI03EnL6tOd+zZoRUlBASJcuhHTvTghA//brR0j79oRkZhKyfz/9/rXXCPnLXwhZ\nsoSQP/6RkMRE+n3PnoTcdhshe/d6l2P5crrPrFn08/TphLz+OiGDBhGyaRP97Zw5hBiNhAwYQMh/\n/kNIjx6E7NsnHSMhgZCHHlK/zpQUenynU/queXNCOnSgx2cUFtL9Pv1U85b5ZNs2Qvr3p2V/913/\n+586RUhaGiGpqdJ3iYmE/O1vhLz1VmDnvv9+QsaNI+SRR/Ttf+QIvdann/be1qgRIePH0/8vW0ZI\nXJz2cT7/nB4nK0sqR8+e9P8VFdL9TEmh3x06REjXrvS4Ws/LF++8Q8jzz0ufjUZCdu3y3EcQCImM\npNf2+eeBnyMYNm2i11pSIn0nioRERBDSty8h331Ht+fm1k55AmH0aPpujhlDSFISIcOHE5KdTcjk\nyYRMnEjfe8Yrr0jPdNYsz2dotdJtH39MSHw8IQ88QD8XFtLtiYn0eAAhn30m/a5RI1pvGFVVtH5Y\nrfT5pqcTcumStD03lx7jX/9Sv5433iCkY0dCnnhC+u4vfyHkz38m5O67CfnxR+n7Tz+lxyoq0nev\nli4l5Phx+ps33tD3GzmTJtH2ixB6/wBC/vtf+nnVKkK++ML7N9nZ0vvz8suEvPoqIaWl9LfffCPt\nd8899LtDh+jnzz6jn7/6ipD58wkZOZK+y1VVnsdn97NnT0KGDaNtrJK9e+k+SUmEREV5b5861bMd\nI4S2IcuX+70lbl5/nZA2bQh55hn17bNm0WcYEUHfLV/ccINnvW3e3Lud0ENMDCG33qq9fdQoQp57\njpDOnQl5+21Cjh6l92n/flrWVq0IuesuQt58k/ZnhND3KzKSkE6dpLZSzoED9F62auX5/alT9Nis\n/igpL6fPp08fQnbulPqhlSs93y92DoD2owCt03I2bvTdF0ZGevadDFYvW7SQ+pjycml7bCwhbduq\nHzNQCgroc23WTGpjCCGkd29C3n+f1snMTOn7xERCHn6YvoPs94DveuFy0X1SUgi5do1+ZzLR7x58\nUPosZ8wY2scxnE46rmrWjJBHH6W/XblS/XysPz15Ut89IIS2AcoyyGnRgo7tMjLo57IyQpKT6TWV\nltLvdu+m57140f/55s8npGlT7e0XLtB2PhQ88ght1+68k75f6emEnD/vuU+/frTslZXev3/vPUIe\nfzw0ZVHy73979unXrtHPc+bQz9nZ9DOrNxcu0M8ffED/tmunflyDgfZThBDSpAkhV6/S/7dqRY9B\nCG3jAUI+/FC7fJMmEfK//3keg5GcTMiIEdLnr78m5KabPPeJiCCkcWPpc9eudEzP+j2bjZahc2f6\nVz4eT0uj/TpAn48WERHqz1SN3btp26Z2PYTQ9/iOO+j/MzIkPfLll97vR2wsHWe/8w5ta+fO9X/+\nEye8r5PB9I/atkDp0YM+H7X2dc8eep5169R/m5BASE4O7Vc6d6bPddIkSU/olKZ+0eXsNm/ePCQl\nJWHXrl04ePAg3nnnHbz11lv+f1gDsMROsbGeMTJOJw0ib9pUPckUi8dgfvYsBpfFWDK//KZNtbML\nK7N9KpNMyTNSlpXRbW3aSNnbAP9JpoxGz7iX8nIay/vRR8Cc34wFWut86UUe4K7HF99kovG2yiRT\nNfugLasAACAASURBVJFFWbm8hN4syv6WaZHHTbO/7D6zzHRlZeoxuMHEHoqi93p+ymsuL6dxpElJ\n1Y+T1IsyURr7f3Q0jRNjZWRJTUKRTj5UlJQAzZvTOmc0Su+pVhZlg0GKpZNvY23AtWs0JkWZZEIt\ni7LLRZ+RvC5cvAg89pj0PsXE0POwGEr2nl+WDE4eiCKNPVS+VyzWRpmsA9Afh7tkiRTDF0zdkt8z\nZUzlwYPAL794/6asTIrtunSJPi+1+qaVRZm9+6mp9Nkp33kWa11Soh2Dy46VnEzPqYxn3brV+z08\neTKw5UScTlrffCWZYkn8/MUAKpNM2WyBxw2y5Fy+YkbZ82RJVXzF4LL64nRK/axWDK6y/gL+k0zJ\nc1cIgpRFWa2tZe8ke0eV5fAVD82WQ1Lra9gSKPJ6Lu/LaiPJlMUiZQmOjpa+j42l7S4rF7sHvvoh\nh4PeP6MROHAAeP997+dw002e7bkyyVRREc0ZYrHQa09M1I7BZfcmkDW233sPOOHt0e9GmUWZ1RP5\nfWNtop5xi78Y3IICYI+3d3ZQsBhcm432HaWl0j3avRt4+WXpXqvFtPpbN7U6yPt0QHqmyszkynEl\new6XLnm3oyzxlzzJVHw8/X9KihQTy/orX0mEbDYaj5qQ4D2eVOaeUMbUs4SZFRVSzCnLD8OOxa6L\nJZlSi8Ft1MgzBvf0aWDLFs9zJCToaxNYAlut/C0mEx3zAZ4xuDNnAocUUXuiSN9DFoOvp46w61Nb\nU5zdk1AlmWJ5FLRyI/hKGsgSvbZpQ58fa3dCiS6BG/1b67tgwQJMmjQJd955J65VN1/1b4waNQp9\n+/ZFbm4uWrdujfnz5/vcX55kSn4ziopooHpUlGeSKXnHzjpTgHbicqEsirQTYgI5mCRT7B8h2gJX\nK8kUS8bSvLnUiNvt9MVq2hRYs4YuhSMvR3WzKOtNMmWx0EYrFEmm/GVR/t//gKlTpc9aApfdL/Y9\nS9bCns0HHwArV0r7q2VRZo0ua/jKy70FbrDLBMk7V5b4QzlAKS2lkwThFrgsyUlUlGdnuHw58OKL\noTnvyZPeyWgCRS5wY2Kk95QlrJHfX3njq8xAyt4/Vh7212ajz0kUvZNMsc/yunDihCR85RkRH3oI\n+Omn4AQuS6KhTIIWqMA1m6V9Qy1wtdZzZIPn8nI6iJMLXD1ZlNm1R0fTDPTKpB6CQL8vL9cWuOxY\niYmeyWkA+mx/+cX7fc7PDyzJhdNJ65YvgSuvn75QJpnSky138GDPuiGfzNWCJZhiiYX0ZFEWRdpP\nBCpw1bKDy1H2m/KEK8prYHXYYqHtUyBJptiAVyvJVHy85/1m52IJd2pa4FZWSv2EXOAajXT8IE/y\nBfiuS/JJtsOHaQIreWZ3QaDt3Llz0m/kE8QAFbft20sDzWbNQitw/U3CKJNMsbZAbnCQC9xjx4DX\nXvM+DiHAN9/4F7ihnMSQC9yrVz0n3M+eBfbvp/e6RQtg0iT6nRz52CPUsOOy+qCcJFC28/JJ3YgI\nev+VfYh8DEqIJFIBOi5k59CbZEpL4CrHy8okUy4XLV9CgrQCisPhaXxh+7P+Sd4esEnQ5GTPurB2\nrWRQYu9vXJx+gcveRbW2p6JCXeAqE1mxCbqEBKk+6U2uJr9eOaFOMpWYSNclVi6mo1fgVlQArVvT\nv1Zr6Cd5dAncoUOHYuDAgdixYwf+8Ic/wGQyISKQTCc+WLJkCS5fvgyHw4H8/Hw89dRTPvdnM5VK\ngVtYSBsPwP8yQYCnBddqpbO5jRoFJnDls6asArKXKlALLrMGN24szbyUldHGIjnZs3MIlQVX2eHO\nmkWXk1DbX74MC5v9TkoKfRblkhLPTlNL4LKyyC24gHRvjhwBdshy1KhlUWbrCzOBW1YmZb4LxIKr\n9jzlFly5paq4mIpvQBK4jRrVXBY5JVqCQ82CW14eXB0TBODVVz2/69wZePvt4MrMYAK3stLTQsYs\ne0oLLqtnSgsue16sM5EvF8SuX2nBZQM9pcAF6HNk5bl6lWbR3LqVHi8yUlvgskG2ckaZCRG5BVc5\nCPeHPGt3IAL3xAm6bJr8nikHQGaz+nvP2q2SEsmCq7V8kvw7pQU3Joa2w2oCl2XbZOJACStjfLy3\nJw47DyGe1ovCQu17dPaspyhgv0lM1M66ydrymBjfbQdNAuSZNdafJ4rNRtedlc/Os3IEY8FlXkds\ncla5TBDrZ7XWb42L07bgal2H0vOJWX/ULB5yjyujMTALrryfVis7s8go3y2lsKwucqGgtOCyfiJK\nlg2FWXBZueT9/pUrwH//K+0rCLS/YmORmBhal+VZteWTuefPe/5W3r5fvgy0bEnPX1ZG30FfAjct\nDTh6VP998LfSAbPgytsHpQWX1Xunk44T9u71Ps61a8CTT3oL3H//G9gmS3Oh5lUVLHKBy5YCko/T\nyspoHe7dm45LlOs9h9KCW1jo2U8osyj7s+Cytl0Uad1q3tx7clo+4epwSOMHgI5Z2XNi9UuPwI2P\n9+7flMsEyZeSY9ujooAZM4Dhw6U2VW58UU7qK/tbQFqKh1FZKfUJTOCqrdyiBhtf67HgsoktZpyR\n93nM8MAmGfXWV18WXGUbVx3YGKugwNsDypfAZcKdTeLLBW5YLLj//Oc/8dVXXyEnJweRkZEQRdGv\npbWm0HJRvnyZrqUFaC8TJHdRZhZco1H6f2Kib4GrdFFWs+DKXTaMRvrw8n9L2MnW3lMbGLGXIiVF\nGthWVFBxy16GmhC48us8f957MMf2T0iQ3FLYzGpiYuhdlG027wmByEjvAbWyMVYKXLtdmtEDvAfV\nrD7Y7Z4WXECavdNrwc3I8F7mR03gCgJw5gzAcraVltKGuFGjumnBtVi8r/2MSo6T998HPv9c+lxe\nDnz8sfSZTVjcdFP1yu5L4Kq5KMsnhtRclFmnfe2aJFj8CVx55ygXuMyC+/33tB3au5eet1076f1X\nouWizK6puhbcYATu6tXAt996W3Cjo/VbcIuLaXvsy0VZLuzl7arcgqtcd1AQ6H1OTKQdqlYbHR1N\n2ytlO66ckARoOauqtO/RrFmAsqtjFlytZ6HXRVk5YarHUscGz/L3krn4+hO4WhZcufublsCtKRdl\npcD15aJsNHoLbeW9C2RbbCwVnnIrMSs3W74rFOuTB2rB9eWifOIEsGCBtO8zz0jeIsxqZDJ5C1zW\ntykFrs0m3SdmJEhMlMK9fAncESOoZ5nee6THgqvmoiwPpZJbH7UmudhSW0p3/82bqchl+LPgmkzq\nE/5qsMG53S6NX+TjtNJS+nfBAuDBB6VnWlgIjB8fWgvua68BP8pyCioFrtKCqxynyAVuRARtE5QO\nm/Jrk7snA3QMO3MmFfLMeBSMBZe5BmtZcD/9lNa/qCjg+edpnWV9jpqLsrLs8vVgfQlcJqJZW2g2\nA5t8JOaWC1y1Z6rmosyMcPI+T25kUY5zfaHHRdlkon1bdWCGr7Iy7/7Tl8BlnjVmM60bTZtK66GH\nxYILADfeeCNifnsaaWlpuPXWW0NbEp3IXZTlFbKwUBK4cgsu65y1XJRZ5WGDombNAnNRVlpw5YOe\nmBjPxsFXh8teCrlodDjod6EWuOy4yhjcykr1hojFFLAOmr14CQnBuSgzd1K1QZPV6u3SnZLifa3s\nRZC7KMu/t9k8LcFqFlyAXq/cggtQN8a1a/VbcK9e9Z7JZg2W/JzMHVBu5WcW3NoQuEuWeDba8rIq\nXfvZwFPZ4Awc6D37XFjoaaVkAwd2z1esoH+11oTTA7tvTZpIg125wFVzUZZbcH25KLtctEO02aTr\nVxO4Std6JnBLSqTy7NpFO9tDh+gxOnWi5VWLu6pJF+XKSk9vFb2cO0d/Jx8cCoLnOsP+LLgnTkie\nEVoeA3Fx9J7I45r1WHBjYuhzqKjQbqPvuw/44gvv9k1N4LLJB60BWFERrRNFRZ4Dwh49aKyjVhn0\nuCizuqbsF3y1N8y1Ud6H2Gy0/vpzUVaz4LI2yeWS1pZmdVDuoqxmwQ2VwGUDXLXJRPauulzqAteX\ni7KvQZbTKVll2LOXWzfYBHCwouObb6QYPrnALS+nk6Hs/mq5KMtd8OX1grXLjNJSKlpZ3Y6Opu+U\nvM3zJXABqT9iRgIW556S4jtfSLdudLyS472CjCq+LLjsucbEqLsoqwlceT2Ww95pi8VzfdeKCjqB\nd+m3Vcz8CdwTJ4BPPtF3bXILLmvrlQLXaqX9VFycVF9zc4Hs7NBacJV1xJeL8po12i7KgkDv/Q03\nqFtwjUZ6bXLBBtC2aMcOGiJmtXpOmqkhF7gVFZI1kD03rRjcPXuA48cl74d27egEoCCouyjL74/8\n+IA+gcvawuxs4M03ta+HhQAGasFVuijLBa48RGr5clo3u3VTPz97nr4suKdPA//8p/Y1MC5coOdT\nI1iBy7aVlND7wPrzsFlw6xKsIVf6w8sFrtwSpXRRVovB1WvBVXNR1rLgAnRbkyaSwPXVGTOBK3fT\nYAOBRo2kfeTl0DvY1TqX2oyyWkOkFMSsXImJwQlcJjwGDgROnfLcbrPRxpTdIyZwL1wA/v53z+PI\nE9EoLbg2G32JmajSErgVFd4WXJOJPjO9FlyTSYqPZsjdo+TnZB0z4OmiXNMClxDguedohwB4C1w1\nF2U1C255ufczk3tGsM+AdJ3svlanA2fW7pgYKbxAHoOrZsFNSvJtwZV3Jqmp3i7K0dGeArdpU89r\nyM2l7zez4MbE0LrUujXtbPfvp+9zRob6jC8TCHpclGvLgnv+vCT05fWXJbpQHltOaSntrA4fBm6+\n2beLclwc8Prr1JvB4aB1j7ktRUerC1zW3qakeB+TwepCp07qFlyl61h+vneMGSGSELh6ld6L8eOB\njRul87ZpQ69xq2JJy2XL6DNi9dOXQFIOtPQIXOZho7TgsskXLWuaLwsuu0dmM703LCeA00k/A9oW\n3Lg4ybNn7Vpgw4bABC6bFPbnogyE1kWZxe5pCdzoaG8vMV+4XNRCyI7z8stSiIxc4K5dSy1scmux\nmosy4O2izCbz5O+ezUYFAavbSgtuRISnwGUeAOx4gHQ8NoZKTKTPv1Ej7/ttt9MQDDaGuPde39Ys\nOb4suKxOyOOs5S7KrKx6LbiApyUSkGIfmReSP4FbWqp/fCMXuMrYbxbTHBsrTaqw8169SttJFrer\nh9mzaRurhTJOVd6nA54uyqNHewty+ZgqMpL2cUqBKwi0HbZavQVumzY0JOn4cbq9eXPvcSXLCQBI\n739CAp2E79QJ2LfP04PhyhU63nM6JXdeZj2WC9zz5yWBq3RRBjwnreR1RxmDazaruyjb7bRf92Vc\nCsRFWR6D68tFWZ4T5JFH6Ht89Kj6eJ1dn1oMLit3ZaV2iI2czZs9QyIYhEgxuOXl3uXQI3ArKuhz\nZwJXbbxZXeqlwFVzUVZacBlsZsSfi3J0NPDCC8Btt2lnF1ZzUfZnwZU3DnosuEqBGx0N3HorHSTX\ndAyu2axtwZW7NLMBQHVdlAsLvc/Hrp3NsrpctOF64w06eGSwBlYpcIuLaSPH3IWYZVEtyRSLfVVa\ncE0m2kmxxsXfLL7ZrC5w/Vlwa9NF+do12oiwzo2VqaiI3ms9LsosHkYpcJX1Xs3VKS6uei5YJSVS\nEjktF+VALbjyDkBpwTWb6fnYc6mooDPR8vthMtGYNXkMbkkJfZ7NmtGBQ2wsMGSIJI7kiKJ37DAb\nnGi5KPt636xWSQAxC67BEFjdYhZc+T0LxILboQMdfLVvL90PefkB+i7GxdFBC6tjLPbOnwXXaKQd\novKYDDYBCqjH4KpZcDt08LxHR47QRGGAZME1mejzOHdOEiQPPeSZyA4AJk6kE2ssHtKXBZf1ZcqJ\nT1+/Yc9XacFNSNDO/s/2Z1ZDtRhcQJo4Yu0ic1EGtC248iRAGzfSGEc9ApfdH70uyoC2BddgUB+s\n+YvBVQpcucUnUIF7+DDwwAO03/j+e9oPVVbS+lFaSgfIkZFS1nb54FvNgguouyhrCVxmNVLG4LL2\npbycvpNqFlxWFuainJBAPysnDQFav594QhoTNG7s3b5o5R9lbbEacoGrDAHTisHVErhs7KDMGGsy\n0XZZPmEg97RSEojAZc9UfizlOC0xkf6VW3BZG8csj3pYuZJOJGkht3LOn+/t3VZeLolFUfSOy5TX\nzchIbQsuqyfXrnkK3L/9jbrNHzumLXCnTaNeNoBnDO6ZM7Scs2ZJ77bVSr1l2LWx8zNPIyZw27aV\nBK6WizILW5IfC5DGD2xyQstF2eEIrcDVY8Fl7zQgjVnYRCbzEpHjy0VZHo6hZ7K8uFg9xIp5wMTF\n0WMFY8Flnnh1xoJbVFSEixcvuv+FA7mLsi8LrhzmgiW34CqTTMXEAOPGUUHqy4IbE6NuwWWu0PJK\nYzTSQfK1a1JgdUSEbwuuPA6BDfYGDaLWDnlDFRsb+hhcXy7K8iyxrFzBuigz4cGsBHLY/WPVi1kX\nH37Ye1aSNWJVVdK9+eYb2niyuDQmxtQsuE2aqFtwmbBg7iG+ZpWYaFWzamoJXKuVltlioYNJNqCc\nMiV0cThKmLu2MsHEJ5/QOCM1C67SRZk1YkoxL3+vAG8xxiyAyvtYUkIHg3pgAjc6WopvV0sytW0b\nbdjl9UxpwWV1RW7tYgJXblVr0kSq36WltH1hz4cldmncmM6+JyVJ7oFJSfSZFhfT96ZXL/VkLGou\nnuz9CsZF+eefgf/7P09LT0oKHQAPHer/HjPLpdKCy6yiWhbcdevovmVldBC9fz/9m5ZG22XA22Mg\nLk6aBZbH3jFxIU9UwmDtrz8LLpsV1xODe+EC0KULff8ee4wOMOQChAlcm41+17Mn/S4qCuja1TMm\nvapKWiJEr4uyPObQlwV3wwYqotQsuCyExJcgY3WbWT7ULLjMDTgpSXIBZwJXy4IbHS1dJ2svasJF\nGdCOwdVaskmvizJr1+QDfTaJrtZmKUM0ANq+Wq20Ply5Qtsjsxn4xz+oCy+z4Nps9P7L20alwGX3\nXMtFWf7u2e3eFlwmcOWeLeXl1KVRPmwTBE8vKOaizIRYYqLnc6+qAhYvpvtrDeLNZvruKz0JWLyj\nVl/K6kRkpLeLslYMLkvSpUTuoiy/jxUV3gIX0C5TWZlnjLIWhNBnr2yblQKXCUK5wGUxlyzBnB6s\n1v/P3JfHyVVV6341Tz2P6XTmhDDKmFwEBIIiPFG5KuoV9aHojcog8YJ4HRCCA16USRwQENCnKIhX\n4HpREBBERXlAhEggDIGEJD2k566qru6q7q73x+LLXmfXPqeqIVfe+v3yS9Jddc4+++xhfev71trB\n1asJcMtlydHu7fW+p7ExWV9tgKsDHvy8n0SZ7yudlutrgAtIvY3+fvmeC+COjMjvp6dNUDiTkf1n\n//3lmqx1UCgYn0PPaReDu2WL+NgNDW6Aq+u/6LGj/Xj2gQvgTkzIfK4F4Pqp//wYXDsHl76vZnDp\nq/Kd3Xtv5fVLJff+qb/HvquWP08CxE4v05iAz2S3AfBXzwBmnDU0mBzc1wXg3nLLLVixYgWOPvpo\nvP3tb9/95/UwOin2Zv7MMxKJByoBrt4g9NEZHNSAd4OxHZPhYZMjoav86Y2aA9CWKCeTJko8Pe1/\nlhadFJdEGfA+rx2h0vbxjwM//an3Z8884y36w2ivzVRrWQYgv/vXf61kfLnxzEWi/OKLAqQmJ42c\nLput3DwKBVlQuUlxcbErkvJdMBebE4nFHCYnRQKtZWLsO/7d3i6L/eCgAbuAmayMngWBzvFxacPz\nz8tiwXYHSZT5nFqCvn27+xy0PWV+AHdkRJ6hFga3VoBrMwN+APexx4Arrqit/RrglsveyH6xKHMn\nEgG+/GV552RwgyTK2mwGF5D7aedv6VLzDIWCyZnv6ZExzTWEAHfXLmlXKuVe6OcqUWYwzs/o8LHN\nExNGeq0rivvZ4KDZ+KpJlPW8/8QnpKjW8LA5ZuQd75D+o4LCZqlZlEQzTZrB1cX2aBrghkK1AVxX\nDq4GLlu2CGjNZiVA8MILJrgzO+sFuGRxx8Zk7NlHGeVy8p2hodoALp+7FoB7223izGzfLkGVqSmZ\nh6efbgCidtBs43wGKnNw9f0SCeMoVmNwuTbzOfku9RrrMhvgvlaJsj6y6S9/Max6tSJTr0aifMcd\nAlpt45r45JPynfZ2GQ9jY4YJi0blHrmcd22sVaLMtYyBCvZPEIPLeTs6KmoT/Ty2H9HXZ3JwgUoG\nl++JRYNcAHdiQp7ZFZzSz2KbS6LsYnBHR40PZjOmNFuiXCyawE5bW2U6kx+wJFtWzcchEASMukRf\nn98PYnD156tZPl8d4HKszMzIuq7rRwwPSz/wczYQzOfN58ng2qw850gmI+PGBriRiKRwPP64v0R5\neFjyO/fZR8Ymc78PPNAAXPqpf/+7eTa2NZ/3MrhLlgjRYJMv+v1qBtcGuPq9cI4yhzsSkbaw32tl\ncF3vdHzcjBPet9YcXI7JiQlpk+tc6WJR9qYgibKu8xNku3bJ9ewAB8k97rXZrBcs28HFzZtNIVb+\njiSjZnBfF4nyJZdcggceeADPPvss/v73v+/+83oYFz29+YyPixxwn33k/xqsAl7pl5b7aIDLF8Xv\nl0oymH/wAzne5HvfM460fUxQMmmcMRvgAmaBYOVGtsVuIyXKesGpFeA+/rhE+TdskKq25bL0y5vf\nLIuDlvfWmoPb2wvccEOlJJRO6Fwkyhs3ipNGZo3FZVwM7uLFXll3JFIJNMnksw2cGCMjZuH7538W\ndgkwTsTAgCwKpZLIsQYGZFFdsMBMUA1wqzG42aws4PG4ALZVq+TnQQwuIG3k+21oMA7Bo4/W1p8b\nNsiZwbUaF2a7guLoqJHo2wDXXnDGxwVc1CpRthlce7H3y+V0mQa4QCWDS0DB4zVsBteWKPM6jY0y\nvsgC6efVALe3VzZQ/l7nDfX2egFufb3ce9cus9G5HLsgibKLwW1sDAa4LCSkg211daZegR2F/ehH\npSgWbetWcXxcDK4tUZ6a8m5if/ubYXCbmyW4pBlc+xl5ZiIdca6rQQwu33Njo/fYMvszOmhpM/c2\ng0uAu3On9C3ZsEJB5sb0tEl3YHQ9m5W50tHhjbhzbrHoWLXg2OSkG+D6PRcLupCFev55AVQEuMmk\nVBa1j2zgtbVz42JwQyF5roMPFmeEQRVg7gxuJFI7g8u55OovWxHlkihnMmZfv+oqWfd18PTVSpRd\n85bs644dsq9yz3j+edlDNm6U77S1mZQfAgUCXK0QcDG4fhJlzYCyX/wYXK57nCejo+KHFIumzfQj\ntEqlpcXL4Op3mM9LX9fViT/jArh8f7ro4OOPm/2nGoOrfRL6GVppptlHPwZ3xw5TAInXyWal7bra\nuM2Q20aAYDvvtk1MyLWTSelvBu80YAyH3QC3v1+CCqFQ7c59LQB3asq814EBcyY8IO+uq8uwvLZE\nmQAsSKLM95XJyLu2AS4A7L237AudnZUS1kJB1vfrrgPOOUd+xsAKAS7nRTptCpnp4ISLwX3uuUrf\nlPMZqGRw+a5iMW9dH72H6rWir09qbOTzwfUOgiTK+hzcWEz+zdzikREvAA8CuAsXVp40wOft6DD7\n52OPyR9+j88FSLVt+wxbQN7PV79qALctU6b/zX7Vsnj+HzA/+/nPgZ/8xPs74orGRnO2/evC4La2\ntqKelY5eZ9OgkovEE0/IpOBAt//WwFBHhAmUATeD++STwqr97W/yMrSUjtfjJLcPtub1AVNoSuvW\n7RepJcp2Di5QHeD+7ncCxrdskXtt2CAL1WOPyTNT2jA+LpOllhxcDmoW0bEZXD5HNQkP7zs8LE42\nD64G3AC3pcVbZMqPweVCxqqRgDm7tVAQWebGjfIzBhd++UuRMBeLUgyht1f6a8ECb1uB2hnchgbp\ni+FhWRB27XID3GLRDXA5tSIRqeAcZJS6PvWUVPOr1Z5/XvrRzsFlBbxotHqRqfFxicqOjlZKkqtJ\nlPU719erFeAODgYDXP6f8uQgiXKhINcCJDiRTBqnY3JSnA3Am4OrGVw6BXSYyOByvtsSZb+NTkuU\nn3hCis/weUoleVfcRGsFuGQ2APlsLCabfjpdyVy/+KKRVh58sNyvu7uSwdUS5XLZrB/agfjzn8WJ\nO/ZY4NJLZTz5SZSZgwt4JcpzYXAbG037rrzSHAmmg4LVcnCnp0WifOCBxhno7TWgi5s7GVw+C+cL\nGVy+I84tnoFeC4OrFUE6+Grb5KRhFVpb5btDQ6ZtZHAvvbRSBTI7axxC5ky5cnATCRn7BLi6yFRQ\nDq4NcBnQmqtEuRYG1wVwtUR5773l71tuqV2irBncsTEJ9PgxuASoX/2q9NPNN8vPn3sOOOUUE3Bg\neoMNcF0SZT8G10+iDJjvFwqyNuogNNes8XFvDm5rq7zfoSFRA5RKphgPAzl1dQZoUFVBy+XcANcO\nPANmrgBSHPK227zPYptLojw5WQl6CdqDcnB5nJzuY4I2PcZqBbg33ACcfbb3d6edZtZiBmi4jzQ0\nyHNogKul39p33bVLAmxtbd5+/PznTS4xIOTFeeeZ+23f7t9ugg2Og4EBaRM/PzAg7WEbbIny2JiM\nlWIxuIpyLCbt3rLFy1zTli+XtdBVM2FiQn734osyjwADNvfbT/p+clLun0oZBlevkTaDu3ix9BlZ\nUSodikWT1kJVF/uJY51YQDO4gEmjI8AlG55IyGevu67SD5tLDm4qJW0jg9ve7lU92ccE0Y/P5wXg\nuoKZpZKMf+5p3/8+cOutpt81ibZ5s+RK2/bii8DFF0t/zp8vqQ3lspyIQRDOtV8/FyCBc6ZCaNXA\n1JS0hfsT16z6+rkdgzQXqwng7rPPPjjmmGPw5S9/GZdffjkuv/xyXFGrtnAPG50UDRI3bJA8N5p2\ngrUR4NK50hS7i8GdnBTH6fHHDdNgS5QTCfkZB5MdcQZkEbjqKqm4yYliO5ucFFqiTGcPqA5wRApG\nHQAAIABJREFUCwXJP4xGgTe9SQYugYcGuP/2b8CPf+yfg5vLGSeCC6w+51MzuKFQ5dllfjY+Los5\nmQ2aDXAJPmoBuDr6o/NLKFFuagIOOkgmFAFuf785gmHRInnG/n7vGa02wCWooT3yiFQffPhhU21S\nR9meeso464CXweXzTkx41QiRCHDiicEAd+tWccYpe3PlWPjZyy/LM9oSZTK4fhJl3efZrPR3W5sZ\nT4A/g2tLlHmtCy6Q+4yP1y5xHx72B7ich/G4WXxtibLN4BLgdnV5AS6BMWCc1NlZ2XQWLJAxPzNT\nyeAyBxcwALfaRqclyk8/Lex9qST9zs1DrwWvhsGNxaTdel2h5fPiuLz8sjgQxaLcg2uGS6JMp0Mf\n3TU1JZHgN75Rouhr18rPW1pqZ3DJZGoG1wVwOecbG80YvvNO4wDZEmXe90c/knlOgDs5Kc/d2SlO\nBY1yz1JJ3nk4XAlwKeln3ijXC93euQDcWiTKZHDzeSNRZpVqzeAWi94jJe6911yXOf8zM2Y8EpCG\nQma/0gBX5+CuX+9VjQQxuGT87XQZ/Y7sKsp0VDWIrVWirPcLQN5JrVWUdQ7u1VfLESCuQpb8DJn0\n97/fnCX5/PNSTK6310iUmcNpM7jcZ1mEzGZwgyTKNsAlCNyxw8vgAjIedQ5uU5P8/o9/BL72Na8f\nMT4u/RgKyXfYNzaDW1dnzsl1rW38t2Zwn3jCzI25SJSpGNKpBlQ9+AHcclnaqf0jBgsbG73vtFaA\n+/TTlce8/fd/e9k0MrhkcXVBwnxe1mDN4PKe/f0y3+wK/b/4BfDrX5v/9/WZAmH5vLcatG0kIbi3\nzsx4mUvmxQYBXK4xZHD7+sTf4TnCfF+dneIjuxhc+lTptJe1BgyD298v1wAM2OzslL13504ZDw0N\nApq0UoProWZwm5rks/RNUynjZzU3y2dsiTLvScJGA9xUygBcBsMGB00QKJ+XufTXv3qfey4A99Of\nlsAFAe4++xh2nuuC9n01kdbVJf+350CxaI5TnJ4WfMSxSvk5xwbzpG3r75c2bdoEHHaYBFS+8hUp\nMPfFLxoMoNctrjsPP1wJcLlX3XWXF+DG47LH2ifF7CmrCeB2dnbiPe95D6LRKHK5HLLZLLL/iIM7\nLWMivr35bNrkPROKA14DKcAAPkZz2Ll2JILAj4OdDo5LomwzuC6JclubRJQvushMlCCA+2okyhMT\nMlCXLxemidU+p6dl4A0PS/8RDPqdg6ujRdUYXKB2mfL4uCxoiYTpc8Dcf+NGkZZNTAj44LNWkygT\nbGmJMqvrpVLSF1u3GtaIhcDI4G7YINfQEUgNcCMRaa92um6+WSKqt99uFqtEwnzvqafmxuCGQjLB\n3/lO79FGtj3wgLzDxx+X67hyLHI5cURtGxyUiJ8fwK2lyBSf1T42QCsjvvUtA7z1ONY5uFdcIQ7Q\nXCTKdNA4bjSA0BJlvtsgBndyUjZwwDC4nF8a4BLAZrOmwqgtqyQzSoky5zcXbF7bj0Uig0vmmY5b\nIiHPqxn3agB3ctLL4BLg8lns75Kl3L5dxhyfg0ywS6LMgI7Ov+ezfe1r3us3NppxYgNcRuvZ5y4G\nN6jIVH29zAW2W4NtLVHmOL/6apk32vHYskUk1TrQSQYXkHWDeYuFgnHaOV8Ar0xZS8r/pyTKuZzM\nv8lJN4MLmHXoySflSAm2K583+xV/RoDLHFhAghRcrzXA5XEmtGoAt79fHFNbysf3GI8bubQONOu5\nogPSfkWm7HnCdWwuDC733YcflnbbDi+NQYZcToqSvfSSBJNHR6XfqALRTIwNcGdmZO1uaqpdokyw\n6WJweTwKxxzbPDZWCXBjMWk79x+qVHReIMGa7R9oifLYmLuQji1RHhkRZ1ePN5e5JMpss83gsviV\nViLQSiXZr3UOZq0At1j07r0jI3Lvbdu8cxswjDf7RTO4jY2yr2gGd+FC/xzcNWsE5Oq1YmTEe/wS\n/S5eb9993dVt+VyawQW8AJcSZbbBzsElwKVEefFiaft73mNSvjhmOztlHa0F4Or9p1CQoMz0tPku\nwWZ7u7Tv5Zel/3//e3OueRCDGwrJXOBaQt/UZnA1g59MyvdcObhdXSbVQTO4LIiVy8n/tVoBML58\nLUWmmptlPZ+ZkbHnAriaqONaykKb7e3+pw00NMhatmmTNxij/Yhdu/wBLu936KHyrp56ShStt94q\n70bvm83NZryRHEmnvQwu93rOG/o5gLRpLjL9Wq0mgLt+/XqsX78eF110ES666KLd/94T9tBDD2Hf\nfffFXnvthe9UOVV7506ZeHaRqYkJs3gA1RlcDXD5OT8Gl6aldFqi7GJwNUMMyAAG5AgiJqvbjo+f\nRFkDXJ1/QN2+LW9bvhxYtkw2Xi7glAcw+szr2SX5Z2elrXSQbIAbiwmA+elPTbtqraTMa9JhsqVv\nvb1GLjkXiTLl32SWRkelPQTx3Py1LJL5E8yZWrTI/C6TMW3lwmlH4h56CHj722UjoMOvI+d+AFc7\nXRrgAnKN/feX9+o6ZuEd7xD5YXu7MMh+DO4DDwCXXSb/vvNOU8SJAJdtqZXBtQEuo9O6jZrBvfxy\nE1nWDgYB0vS0kdWxcp4foNc2NmacHcBfosx+thlcW6JsA1wCQH6P92hslMWe0lAXwAUMwG1oMAEL\noDqDS3kl52ip5C2+wMBZqSRj/Y47hC11GYGpZqSCAK5mcAG5L9vLewJeibIGuPm8vLvpaVkrjjrK\ne/2mJrl+OOwvUWbg0K6izPFiB7UIcNNpb3EjV1BQM6icL1qivGWLrJWAPNPy5SafEZBnWrDAzFXK\nwXiEGCAOHp2BuTK4BLgaqLOttk1NGSeF+XQ2wOXaqs9MzOWAu++W/09Pm77VgIOAlO89HBblS6lk\nfjY7a8YmLajIVCYj7WVxH22awR0dlbYzLcCeK4WCYV/icbdEea+9xFFjIUfOqaAiU3YOLo+c+8tf\nzBnoLpm8zqFtajJpLvG4dw1pazPjxZYoAzJmCCJcEmWdY67XMvYN181iURxxVsrVfszoqFeiTAZX\nA1wWV9R5gXV1ci1b4aUBLttZjcElW1Mrg6slytUArovBpWOtc3CLRfN8QRLlf/1XSWGiDQ/L/K8G\ncG2J8o03Ascd5wWkK1aYPYdAamxMrnP88UbpwFzMsTHZy7k3cm1kegzXKpquwmzn4AKV9ShYVJHt\n1/0xPm7GJv2Ca66Rn/E9agZX75naNMC1U2QYMOzsNHOfALetTcb09u0yD+fPN6SIBkckK/TcWbzY\n65tynHMN0RJlzZDqlLty2QtwOT8TCcPgcv8bHKyUCfsVmfrud82arDM+GZCLRGQt8wO4XN8BE6yc\nN09IGg1SGSRuaRFfdWbGW31Zq68IcO0gJPe0ujqTQ10syv3mzZNn1sSgLiTGYKxOSyMJxf2Kz6AB\nLgti7kkLBLjr1q0DALzzne+s+HPyySfvkQasW7cO1157Le677z5873vfw6DfIWoQ4LD//vJvDXDt\nDUI7wdroiNsAl9EWmt6wTzlFZL0uibJmcDXA1RsyYCRwjAS5HN7JSXcVZb8cXAJrHckNhysZXMA4\nRkND5to2wOWka2yUgfqWt4gzze/z8xs3SkRIM7hzAbh8J3bxEkpW/CTKfCeciAQ1PIaJzBsrOMZi\n0h8EuFpuNzYmv+/qkneyeLFxuBsa5B4aMGlwPTIijvFxx3kBLiXKzHlkZB7wZ3A5fgCRfxx2mHFW\ntE1PyxmTW7cC69aJjLlYNKy8tnvvNRLtJ5+U6rl0THmMlu53SlxcRaZYxOPqq2Us8AgcBhVoDByV\nyyYfjM/I5yeDq3NJ7OM5gsxmcF0Al31JR5CVIMlssq9cObg8qkkzuARTmzfL5xjp1bJKbsoa4ALe\nHBvOd/tdEbTq4kalkmG0WF2Qnz31VOBjH/M/A5Gy4lzOrA1cC6sxuIAB1gTttkQ5n5fxpCPYdHTm\nzatsT2OjKe7ikihTqcEAJZ04qhpsgMH5cuSRwJlnVge42kHnfNEAlwVr+L4OPdRITAEjn2Mb9Jh3\nAVztBNcCcDmGqBCpJlHu75d+4l7gkigDlUWTbr3VvFObweWapAEuYPLitFNVKHjX+moMLvcdGxxo\ngDsyYtoGVDqFBLisEeCSKCcSouBiYSyuNS6J8g9/KJXW7SrKTU2mbgXnn6vQmQa4lPIykESWigwu\nwQmZMH4WkHfZ3OzP4Gop5eSk+b9mcHWaDvP9tR/jYnA1wC2VzEkCc2VwgdqKTD3+uLf2Qy0MLt+b\nBrilkgH0QRJltpHqAEA+w+dzMbhs02OPecfq8LAEMPr6KgMder7aAPcNb/AW5cvlRIr6jW/I/wlw\nr78eOPnkyuAO2WYemwMYBpeS9O5ur59w112yP+jPagaXQTGeGKHZ0GoSZUCKBt55pzfgGouJggVw\nA9zubuOn2moI3pPyZECelxJjAlzt1+s2a39bf2bJErOO6T2KPr8tUdYAl8rKQsHMf1uiPDzslSgP\nDAQD3NFRM06+9jVJQ2JKGo0ANxoVgMt6EqWSwQuAFxRzzZk3T05O4ZnCgDfN58EHJcdbVwTXEmXW\ni7HX6P5+qWfQ0WHGJdcbqjy1RJnBAD6/DXDJ4GqAy5Ns+F445vakBQLc0047DQBw3nnnOf+8Vht7\npVePOeYYLF68GCeccAIeeeQR389v2iRnDwJema+9QfgxuHSGdIlufs5VZKpQkIT3Y491S5S5KGsG\nl461vv/atcAZZ8g1qjG4GrQyEsPn1Q4QHRV+dmJCgPhHPmIArmZw+TcLjWQyZuMol8VZqqszZ1L9\n/vcSuUylTFXQWEwm7OhopQzEth/8wCuhqQZwJyYMANcMLiXKoZB5Lzt2COtkS5QJTjWLrhlcOmts\nP51yzeByEZk3zzuO9Ca4apVhum2JMqNjfgyuS6IMiJQvnZZopc5fAmTB6+6WhfSUUyTfkNe3+/6+\n+0whkcFBUT3Y1THZJs28uopM8XePPipt0BLljRuNJJXO7diY9DMXTxeDy0WQDC77oppx0/fLwdWL\nLaPUdHRth0YD3AULpG2UOdKZ5D0aGyUHa/588zM/BjceNxu9ZnApc3fJ6eJxcTKffdawObwPAd7d\ndxsZ6UEHuRl+PhcZ3JYWeZZaGFwb4HIucI2iU7lhg4xTzeAy2OYyOhV2wSFKlBctkjZns95zGdlm\nG+DyXvPni1xOr9P6SBAtUQ5icBlUBOSZDj3Uy+D295tcStvoVHV0GIkYcx4B7/j0s0LB5J5qh5nf\n2bhRnhPwAly230+irBnc7m7JEdNVO1loitcNArj6Z34Al/uIDXDZb0EAd3jYBIkAt0SZICcSkUDf\nH/9ofs8A6KGHSjFIMrh+EuXBQVlftdOazco9Nm0CjjjC9FNLS2UaCAEuA5tMi4jFDEtFBpdmS5QB\nGWd+ADeZNPJl9oHN4FKemUyaiu02gzs2Jm2anTWSaFuiTAZXyyZfK4ObSpk97Gc/k9SjueTg2gwu\ngTbndixmlAH2muoHcF0SZR1AmJoygWlA9tBdu2SNYl9qI0sKVAJcwBsUZ94jf0ff9dvfBr7wBXNN\nfof7NZV4vB9luem0YdFomzebI2P8GNzJSVnv29u9aoJaAC7gXY81g8vr2xYOi5S6pcUUijr/fPkd\n760BbjptyKD2dgHwNsDlu9OSWxvguiTKZAi1RJmKFkptCcIZvKqvr5Qol8tegBskUU4kgEsukaA0\nfeynnjJBAZoNcP0YXD+AOzDgHZ98N83NsmevWiX9tWOHOfddM7hApUy5v1+CL8cc4wW47Cv6ClRd\nsGo8n9+PwWVAFvBKlBsaXgcG97DDDgMArFmzpuLPscce+5pv/uijj2Ifnu0DYL/99sNf7YxtZZs2\nuRlce4Owc3CZs/tqJMpctBh90BJlRjQ0qwtUXr+tTUAnZbR6Ey8UZNBVkyhzkdcshwa4hYIUl1q5\nUhblnh4zkGwG9667ZODymr/+tYB4Hm/C6ouALFCjoyaiqxlSwC1RLpclD5TSOKA2gFsqGXmnzeCy\nP4tF2RiuuKJSoqwXAIJZF8Alg0tHwmZwgUqAy8V/506R+pJdsxlcLqAa4Gqg4CdRprkYXI77piZZ\nXBlsAbwO2MyMAKX99pM+GRqSRW1gQPqJz8h+1YuiZnBDIbNIMWpZLHolynfcYaKGnFcEXkEMrj6w\nXDvi1cyVgxuNSjspGWVfMjKo5y3bAXgB7po1Ikvj+9QMLkHmM88Y9tsGuDaDyzGoAS6/97OfGfk4\n28M8pmef9QZAyOC+9JLI0/nZ1lZvgS9tNsAF/AHu7KxxeAhw2W82g8tgASD9rBlcrUKwTTNCtkT5\n1FNFjTA5aeSeem0DKhk0e77odVoDNnvN5HdtBlfnd3Z0SJGsXbu8MtKOjso8TPYDUMngLlwo/+bm\n72JjaQzERSIG4OpibBs2SJ7/7Kw/wGVAiQzusmVmrc3lZP3W8lO2i8/OMcfr0lwMLt8VrRqDy33S\nBXD5Hnp7zVgF/CXKBIh33OEtvkPn89BDpb9YGVVLlG2GkSytzeACUh0XMAyIH4ObzUqfkVVi0TEy\nuE1NBhxoBpdj6cUXJbjGfcKWKOsq4ZSA6rQpqnRYtZcMrvaDRkcNIBwc9DK4PMuZgT0CQMCfwdVV\nlNlOF4M7f745yWFoSGpLcAxoB/aRR8x66CdRbmw0oJc+Ev/PgphaGaMBLk0DXD+J8ubNci0N6Ovr\nzT6hK9rPzpr1k7+rr3cDXBZ003tvKiVjrq9PApY0tm1kRMbesmUyTgCzNrKgVVeXF+Bu2yZ7BVNG\nuNeGX/Hw6ZeQwdVjkVJRkh0MOHLc0rhHlsvevYvXd9lf/iJrUColAbu77pKfFwpG/kpbsQJ473vl\n3+m0SZ2i6TZzXuocXMALcLVEOZmUfS6Vkv//4hdSJdiWKBPg1tcbgKvTGQADcKkcHBjwpk5wnJKZ\n5/uenpYgnFbS8bkYTFi+XN6j7mMXwGV9DZI09pGCDND9/e+ylg8Nicz8wx+Wn3O/1JW2tfX3A0cf\nDdx0UyWDy3Q89psmxqiy4DhloJG+VZBEubFR+rGWU1lqtZpycP9/sPXr1+Oee9bjkUfW48EHH6wJ\n4GowxWqlfgDXZnCZK5hKmYHPSJx2mgg0tVH2pq9Jp8JmcM8/X+R2hYJppwvghkImD9ePwdUytLY2\nbw4t/56YkIWTuRXT0+Lg9/Z6B2omI5NjxQr5LjeW0VG5TpBEecsWmSA82BmQa+pKnS6JMuDtb/7e\nBrjZrCzulChrBpfGDWXhQgH7zMkFvE5wV5eXweU1FizwblZjY7I4ULbIfmLkm5NeA1wt8WQCvR+D\nS3MxuFqaz8VGS6ZpHK/t7YbB7euTPxrgJpPSr6OjZhEmQ8Igzvi4ObtvaMj0OxnczZsF7DNPkkXO\n+GzAP4bB5SJJhh+Qe5DdZ/CDAS7AW2Sqvt4bsHAxuM88UxuDqyXKLoC7aZP3/EIt89qxwx/gEsTU\nAnApUa4GcJnSUE2ifPfdMsbo1H7jG+Kw1tVJjtjOndUZXBbSorFa5OrVc2dw/VJJasnBdQFcvh8G\n+VhIBDAMrsu4JukjDkZHzXFjtUiUOV8JcKku4jjlO2Twgzm7WqIMyPtJpaQ/jz/eW0V75UpvTjgB\naaFgHBAXg7v//iIF13uYi8HV6SM2wKUFMbh9fV6AawcFmPLD9Yn7D437w7JlouqpJlHmGqSd1lJJ\nxloyaRxsMiA2g8u8cyqe2Jd0lAm8UikzZ1wM7pYtBuDWIlHWDG487i2k2NBgxraW/A0Oyu/1GkBm\n006DsBlc1ykLuooy4M0z5BidmpK+LBREnvyWt3iLcOp38cgjklKjx0QkIv3Lgpg6B1cD3FJJ2hMO\nu1lmPZb9GFwNcFmFnQGHUEjWZD6rziW3c7uffVaYNxYU5PjR+0RYedqplKknw/2X791mcAlwNYOb\nyQiw0YHwbdvkfr29XgaXAIh+CRlcW6JM/5h1GDgPNXhkcEyfABEkUQZMf6RSstcQlBcKoi7RALe7\nG/iP/zDf455Hq0WifMwxwFlnyb/pm2p/mX38/PPyzrl+6YC4zeC6AG5dnfR5R4eMUb0nc5xu3Cj/\n16dOPPFEJcDVDC6DJMzPZtvsPiaDu9de0m/6eE/N4E5NidQ4EgF+9SvgAx+Q7+k1tr6+slCVrm7t\nJ1HmXpLJmL7SChOuw3xXJBt0HjWfLZ9/ENu3r0cksh4XXrgee8peV4C7evVqbN68eff/N23ahDe+\n8Y3Oz1544XqMj6/H5Zevx5o1azyRODsCqp1gDmA62Brg6uTtIAaXkhLNNADeXFjAbOpNTVJOWy9q\nlDKxIvDUlEyQa64xR9vwkHDtrNnSJcovXQyuHSXUh0NnMjLJuEAChgH7zW/EcdYMbqEgjj+fTUd0\nmeAOuCXKf/6zbN4a4Gazpgqt7nvN4AKV+RqUKANegMs8WYIYG+DqjaaxUSawZiPY/s9/Xhw5W6K8\nfr0EHvizl14Cbr5ZNpx589wMLp0E5nxqiTLHnw1wbXAwf75sUtmsOZrg6acNwGUfuBhcblTsk6Eh\ncRaeesoLcMmojY4aB14Xmaqrk+uyWMfQkMljIsAF5B1s3y5t4VE6gMyTaLQ6gzs+7pWSBZlfDq4e\ni/zd+LhhQbTDXSpJX7LAS0ODF6DWwuDaObh+AJd/a4BLJpxGBoYbiZZVxuNybzo4o6NugDs7K5HW\nK680DK6uM+CXg5vPSx/MzMg4mz/fK1GmE/nFL4o8nX37qU/JvMhk5IiU667zB7gMFHCNOPFE+b8t\nD+X4eLUMbpBEedcuM9dsgKslyoy469xRMrj6WfS9+T3N5JDBrUWizDFE1ooqFI4R7m8PP2z+bTO4\nzGNNpUTu+Pa3exncpiZZr1wMLp1azg/9HhMJWcc1g2MDXDpgdJjsIlM0zX7xuQhwSyU3g3vuuSIZ\ntXNwAe/451hiX+siU/ydZg3J4OoxCAjL8cMfSlsYnGhpcTO4fAam+dDZDIVMulIyGQxwWVmXfobe\nu9NpI18GKgEuGRj6J3qt4fxoahL/orNT2tbUZGoIcA3WAFczuDxVwB6/tkRZz6UzzhA/gvmOZLrr\n6ozDriWmgOxzfJec26GQmQ92Dq4GuAxicgzZbWQ/kLHr65O9zg/gPvec+RmD4Q0N5lmbmytPIOB1\nnnlGVFMuBlf7W7RUyuxB2ugXksFdurSSwfWTKG/bJmvHiy96c3AZmNUA12ZwGdQuFo3aQxc+0sbC\nh0yvqcbg0tJpWYtHRowPO2+eF+DafWQzuC6AS2BIa2uTIxwB4x9rQoN9PD4uY8+Vg0t1BucGfVDN\npDI/ur29MtjAcXrppaJUmpw0QdNNm9wAVwcTmPZSi0T59NNFSecHcAFRKLa2Cimx//7e/gIkkGIz\nuLt2mb3PxeDS7yIOIcDV4JU+H/dTW6JMHx4A9t13DQ47bD3q6tbjs59djz1lrwrgTu2hTODGV1bU\nhx56CFu3bsW9996Lww8/3PnZl1+WAafBqZaa+EmU6biTRcjnK4tABeXgakaRDoOryBTgjWza5//R\nqdBFprZvN04e5Z9aoqxzcHndIICri3Uw0gaYaoCUKPNz0ajJCTj+eCO9yOXMs/PZuLHoPgJMrpVO\nnb7vPnGEN240hTbGx2VDtwEugwVsK/vbVUBMA1z+30+irB2GZNLkHofDXrbvtNNk8rskyrxeY6Ns\nIIDko7oY3CCJsgZ4dKyCJMo9PVKJ8fOfl5/x3Dr2m2b6tAOmAS4Z3NZWKTalAS7nwuioWWy1RJnB\nEDq9BGZ8PoLi+npZ5OmQayawubk6g5vNyv2rSZTphOuzMrkpaZkL+3J83LC6nZ1epuHMM4V5zGTM\nMQR8xzaDS5CZy/kzuJwfPAfXlihrAMWjgGjcCLmR6PdKFicI4N52mzg5f/qT5EMT4LK/+V75zjXA\npYSoo0Py9ltavAwuq7hyM9p7b9lIucZR2aEjzLZxreZ4+t3vDDsSDkvfDAyYYj3VGFxbDs0gCs++\ntD8TjQKf+5ycgUsA5idRprGtgJF6h8NmzNMp5bjR1e1tBreaRJn31zm4lKIC5ruPPFIJcEdGZG1l\nZVMdoNMMbl2dCVQy2EtHkcc4UNbrClTYAFcHo7REWZ+9q8cfILLE4483/+e6x/fkArh33y1rrQa4\n7HMXg8s922ZwdR4Y723n1QEyrz70IRmbBHd+EmXAtJ+Ba7YtlTIAl2uABri6YvyCBV7QQnvve8U5\n5pnbdg4uAa5mcNl3GuByfSfABUwOLv+tGVyue6tWiaJB58MCXoAbi3mD9dmsBMLI4E5MeIOAs7Pe\n/EdAQAEdf70XcgzYObga4DLf3a+NvBb3uqefFhBq+436nOtUygtwAblHOi37SBDA3XdfL8DlfuMH\ncGdnjfyZ5mJw7RxcLVHWoGrrVgl0EuCSwe3ult8z8E7gogGu7icGOqLRSokyYMYVyReePcvx5Wdc\n6wHxpZJJGf9Llrg/T7/YBXBjMekjts0GbDQtUdY+AoE8a1RwLms/nyx5X5+/RHnbNvGr5s0z+zRg\nxumyZcIoa7UNJfza7GACj/5hH4fDcn8Xgwt4i1ECXolyKCT93NIiY0Gr4GhLl3oBbrks97cZXJ1a\nYkuUiU10CgXX3qEhbxVvPe50Di4JlT2Zh1sTwD311FMxPj6OmZkZHH744dhrr71w44037pEGXHXV\nVfjkJz+J448/HmeeeSbadHUGZVqmCQQDXJvBJcCdnJTNhy9OL6hBDK6WLlAnzlyHWKySwbUHEO9F\nibJmgbq6vEDJ7xxcIBjg6sJKbINO5u7u9so1AbM5LF0qm1pDg6mwOTvrfTY7v0czuPfdJ4n0d98t\nRWjuuksAbmurOTJmfFwmmmZWdeEdttVmcF0Alxu0n0S5pcXL1iYS0j/JpDgtqVSlU24zuPr7GuD+\n/e8yfihNHB42BYayWfn35GSlRJm5dZTDVZMoP/OM2cB0WXn2Ace+i8FlZemhIcnxcQFKLbe8AAAg\nAElEQVRcRsgJcHWRKbJYlLSNjHhzcDlF3/IW2VjpKOjjZnQpepvBnT/fMLhdXdUZXB4RpAMTDErp\nQgU2gwuYKsmc05SiRaNeVo6RaT4/5fT8TJBEua7OsEHc6F0SZReD6wK43HCbmoyDQ4CbTptCat/4\nhhTcaW2VPmIeu2bQbIB7yy3AZz9rnOqzzxaWlrl53OhtgJvJAJ/4hGn7uecCn/mMKdzkMvZdOm02\n4PHxSnDI/rMZ3HnzvIXqbMVDLFYpc7clylTHsN+pyOFmbANcqhdoDQ3yeY557h06DYYb8ujoq2dw\nXRJlvkd9zjclyr298t4ZOOE4a2jw5rYT4HIO2AxuPm/GbhDApUPsl4NrHzukC9o98ohU82S/aoky\n4JYoDwyI00jFVSTiz+Ay/75Y9BaZmpnxnsXIe5PB1U6r3tsIqvyKTOlAlna6Abkfa1a4GFz2JWAk\nygQttLo62a/JjOvAx9SU7GF2kSmgksEFKgGuVszYDC6vQyVDEIOrA9VTU/K7LVukvQTjBAo6eDw5\nKdJloHaA65Ios0J0LCZrJPdnW6JMZpIA12ZwOVZKJfPZyUkva9ba6g226aD8r38t91+5snYGVwdV\ntAUxuLZEmcdE5nLSrtlZOYVBA9xs1gDcjg65bm+vjAkXwOXcaGz0yma1sR+4T4VCck89312mAe7W\nrXK/H/1I0l38Pu8HcKmS4P5SC8DVY4vPyWsSqNHvZICDZIMfwN26VfaFj39cCslyDGofm+NtcNDs\nHUESZcAwuBs2SCoP220zuFq67Mfgzpsn321pMfhJ+1CABKu1GmBw0DtvNYPL/cOWKNsAV+fgDg+L\n/2RXUQbMMxxwgFQf1wHjPWE1Adynn34aDQ0NuP3223HYYYfhueeeww033LBHGnDsscfimWeewQsv\nvIBzzjnH93O6gjJQG4OrAS47m4MTqJ3BdUmUtaSGTDEnuQvgcnJqBjefN2dMaYA7MSFO7FwArs1G\naAYXkM10xw7DYup2dneL8/rVr5rkeZ5NWI3BrauTBW7XLnFkfvELmeytrcL6MOfQxeBqNtxmcKtJ\nlHkNl0S5vb2SwSXAZUU/F8ClTIXfoVHuBUh7OzulTem0bJyLFnklyi4GV+e7NTb6A9yVK01FROZF\nUDIDmGhePi/t0gwDQUtbm8hOp6YksvzUU9InDFYQ4G7cKDkcfJ9aosw87ETCjEU65AsXSmTyoIOk\nX+jUaAa3qUk2gPvvNw4v392SJV4GtxrAZbERtpPvngDXJVHmOCODG4tJW8NhOa918WLvPbhw80gs\nRiq1o8jP6b7IZEzb1q4F/v3fTVsSCS/A1QxuuWwcqc5OuS6dGAYWdGSWAadQyBvU2bnTBG0GBsw1\n7LWI68pLL4k8jhvQ5z4nz8YAjR+DaztpvCYL2bgsk5F5Ulfnrair2S5A7kUWU6tWjjpK2GmaS6Ks\n5bj8jB3wIMvL9+DKwdVtHhoyuXEEuMyztwGuLVEOysEtlyVPluoeOwfXJVHWclTAgIudO70AV/el\n7pNMxgBctkk7inRUNODUpt9VNYAbj5v9ieMlkRBmb3a2Mt/SBXAZjBwakr3DJVG2C+vZDC6LTJGZ\nHhoCLrzQ3Ns++oPvi8aApYvBzedlLdXzSwNcrdiorzfyQw1wm5vlHpxjdnCaFo8bpU1rq5fBZTEr\nPwaXKjUWS9QAl+9QrzGawaWROaXpIlN6XaMvQwaXQG9w0ASsAWlnf78E0//zPwVsEajbIKRQMPtp\nNCr7bG+vF+DyLOwf/EDOGOX74foJyL+3bpV2M/Ct/cb6ehOQJoupAUpdnfS9XovZJ089JZVm6de4\nAC77TBs/42JwCQiam+X3GlRrtj8UEr+NJ0osXizvur/f7AEkNmIx4/9pgKv9Q0q5yeD6SZRZlEyn\nz9nP4TLm4ALyPqhc0TnI9uf9AC5VEhzjfgDX9pcBE0Tgu2RwjIFdjoV43KSL0Qe1c3AJcD/wAQFn\nDEbYAJcs5n77yc9qBbh33SUpJ4AX4NLvZ/8HAVz6Oa2tlQCXa8Lee5t0OEDGE6uH895+EuXWVkMi\n8DOA7HULFsh1d+yQdrBGiB533APe9S7gnHNeJwY3nU5jYmICP/nJT/DhD38YyWQSWX3I1j/AdAVl\nwNsR1XJwdfSlra1S0lgLg8sKYQQHtrOl5YouyZ5mcLV8Zd48L8DVsh+/HFwtjfaTKFM6RVuwQACI\n/oyOJDc0yCDUAJfPxT5yMbiZjEzsoSGJdn3rW6ZQwIoVsukxss5oEiATo7vbC3BbW2tjcLVEmQwI\nc2GByorBdJoyGfkdN0ZtDGTE415nBPAyuIBxchsb5ZkXLzayDZ4355Iosx+CGFwuGH/+s6nOSiZG\nP08uJ+3wY3CffVae9ayzgH/6J1PJkO9sZEQcg7PPNuCWC61eSPm+6FwlErJw/uEP5jgq5l1R8pvL\niRP4/PPCMtoM7pIlEjEslaSNtkT5D3/wSvnI4ALmyCiOR1uiTHDOn3HxjcclIvqGNwhoIrDXpnO1\nCYSqMbjLl8uYB6RfdFEigiN+j0w4IOOAwYqODpP7xzVG35umHQoeEdPTI++rqQm7C4xoiaidg8vv\n2bLIIAZX52prS6W8R4bZRrmnLjIzNmacJs2SMO9Or3lHHCFsD9f5IIDrV0UZ8G7+tUqUNRNP1peS\nbt2vGuC6ikwxP312Vubkyy9LIEQHSTRDZUuUydYx8GQDXI4rDSJsifLixWbNsxncagCX70oHeWm6\nyNT4uClqogHu/Pny7IccAtxzj/c9+gHc3l5xkO66S/YQSibZ50NDJmDhl4OrJcqDgzJHGahzMbg2\nwA1icG2Aq+WCWvFUV2f6RO8pLS0GeLJegctJ5zP19ck7dEmUbQZXO6+U1tsSZb1/1tVJ+0dGKvMo\nmft6zTXCwHM8kbHh+9IAl+82nXYD3J4e+f5558l7TiRMEUPtj5FFYt9873vAzTcbgEvlDp+H78kl\nUX7ySQMutN9oA1yXRLmzUwAsgR3HHCBtXLpUTnUAZI/lvhLE4PoBXH5nZETeMQNf5XKlRBkw/hUL\nRyUSZg5oBjeREFDV3y8+4Pz5JqBI0zm4BLguiTKVTi7fJcjoQwPiM7gCOtqSSWmfTTwxX5jHXgH+\nAJd+pA1w/RhcrnHcg6oxuPm8+Fb8GddGPwaXY9BPoqwB7l//KuPglYNsdgdQolGzJ1STKB93nDl7\n+dBDpYginxnwB7jbtgUDXC1RPvpoSZWyGVxAfLvmZql8v3q1aaNLokx7XRjcT3/60zj00ENRX1+P\nI488Elu3bt2dP/uPMuY50OxIXDUGlwO5tdU72HmtIAaX5f+1lI4vm6aLLwQxuBrA8szX2VlZpLjB\nUDoWlIObSHjzdV0SZQ1wu7tlcdOLrQa4+jk0wK2FwZ2akkV40ybZEBiVW7FCZEvM3WxtNdf72c+k\n6IyWKHd31y5RTqVM/x9zjGlLKOSWKOfzcozSz37mjfDSeL14vJLVIYObTIrTQLliY6P8u67OMGCM\nTFIuClQyuEEAF5DjSsgmzsx4wTv7gfmBmv3UIP7ZZ6W/991XAN2JJ3qDFg8+KIqIlSsNe828m5Ur\ngf/+b3EqXACXxlzfYlH64uWXDSN78MHAz39unAedg7tsmZHE6SAN7ZRTjNy5t1dUATrHh3NZOzr8\neWurV6KsGVwCXD9rbJSoLIuGUSbM6wKVADeRkEISLrvjDrNR2Ayu3gQXLpR2JhImAMZ7a7MBLhlc\nOtKUwPtJlPN5+V6hUCmL1ADXZnD9nJFqDC77VB+tNjpq5jMrw/sxuPX14hTw5Dg/gBsOuyXKvI+O\nxWqA6ydRHh017ACDFKyK62Jw+U5ZZIqONxm4iy4CrrpKUjne8Q6jlKhWRZkAl84YgwV0xMjgFov+\nDG5dnRQiueiiSgaX9RZqAbhck8mMAt4iU2NjboDLveVDH5IjQ/Q78pMos3rt8LCs7cmkV6JMR59t\nIAvjKjJFwDk5KUCxWDRVyf0ALue8lq8CJjVAA1yu9bYqIZkUVuKIIyoBbnOzKf6UzXoDTdrYr1NT\n4vRqgDswEMzgNjUZpVEQgxsOy5jZscOfwT3zTHGWtUTZBXB37jTBRQJcLXXk9Vevlrk/MiKAcHCw\nEuD295s2s1hlf7/xQ3iEHfcAP4CbyYhSiVJPHZAqFv0ZXI7No46So7oI7O65x4CBwUGZ7yedJP8/\n5xxvFW72iy3fpfKvGoMbCpngl2ZwObdWrpTiWGQz6R9pgLtsmQQG6Ptu3mwYXG0swqiLTJXLwRJl\nl5/rZxzjnZ21AVz+3vY56Uu8WgaX+yDBViwm72yffcwaxz2oo0PehVZeAgbgZjLmnHKupYB3/LAN\nQ0MCJMPh4GOCALnv7bcDb36zUVsyMElVmQ6qse4Cg36awV2zRn72xS/KedR8ZkCuk06LjzJXBteu\ncO0CuNGo+Fv33is+rS5qRrP939eFwf3gBz+IzZs346evaKsWL16MBx54YM+1ogbbssUUNgGCJcou\nBpebOBlcVuvj53RHM3KpqygDpqiBnSsGmFw8fX9tXHw4UfRiVV8vA4wghmxLrRLlcrk2iXJvr5vB\nZZ4G4M/gBuXg0pifSlu+XCKMZKdPPdVElLjh63wWHs1DBw7wlygvX24Wkf/1v0wbyaTbDC6ZviVL\nvEcn0Lq7pYiOC+CS2dt/f3Fu2J6GBlMkgffgIkQGgeeZaQY3SKIMyGKwcqUsQIOD/gwuFzoaQdfi\nxfKu7XR2/U5HRswGS0eB4yEWE2nMwQebPmZkWzvBdXWmYEtDgziQK1caoLRihdkwNIPb1iYHoDc3\nVx4zNTvrZTrvvFPYF+18Uf7rkigT4NoMbiwmm7uLuaU1Nspn9tnHy+B2dZmgjQ1wg+zII73fy2bN\nc2mAe8ABEnDgM3GtqsbgEuCSwQUMg+snUR4erp3BnZgw0miXkcENArg8u5mmJcq8hh+DC0gRuAsv\nNGfBugBua6sX4NoS5SAG1yVRLpeN80RnPpWSuc+NX+8xVNVwHmzebPLFSyWZixs2CMA9/njzczsH\nV1fLBQyYYfVnO/+RAJf9CBgmhvl5lNBTqsixRTDNM82rAVzKRgFvbr0GuDy7lccZAQbgnnSSjFXO\n7SAGd+dOSX+IxQTgch/XRVh++1t5Pl1kigEeOweX72vrVtO3IyNe2aEec5Qoh0JemTIZLcqL+T07\nBxeQ73/sY8JcuwCuPmfdbx2Jx8XZnDfPAPjJSeCEE0Sy+/WvewGunYOrCwi6cnA1A7RlS2VVX/pB\nb32r/P/hh/0B7tSUgL3nn69kcPl8bGd3tzxDZ6c48y6Au2uXWf/e/Gb5m+oaAlwXg8vAHcdWOi3j\niUUa5ypRpp9IluzKK6XuASDt9ss9DWJwQyF5b34Mbl+faS/fgc7BZX+uXCn9bQNcBjlzOenzk082\n/V4uy/yxQWE6LUHtT39a5iznWlCRqbkyuID4bVu3Vt87XQBXq5FYiMv+jH0Nm8Fl4SjN4K5bZ46K\n1J+PRGR87tzpXSvq68VH+MxnzPunH1Mue/0kzeB2dMg+b6uhuP5rBnd8XNhRGjEKFXRTU2b+RqPS\ndp2mExR84H24jpHdpy9Oybu+twvgurCJC+DOzgK6drA+u/h/msH1GRpil19++e5/h0IhlFWt/1Ao\nhHPPPXfPtaSKTU97HXYNcBlJpmnGTwNcOsCMhmjn0yVRJmikJJIMLhcb/XJqkSgDXgaXjkBDgzCE\n3ABcyfGAG+DymA1dgIfPYDO45XKljBlwM7hcfDWDG4uZaBG/qxfv8fHKg7tfeEEiOPvt593sABOd\nBKSvTzxRFq1EwkQtbQaX1QGXLzd9c/LJskhxY2WRIBoDClysXQxuJCLRuG99yw1wAXG29NFP2tHh\nWKCUhIsNWSnNBjQ1yYJiO+y0U06Rd/KFL8i44PjVz5PLiTxqYkLYmTVrjMO8336S56cLBwBeJ3h8\n3LwLss6uqoRBDC6lp7GYXKulRfKr7r9ffqZzWjSDW18vxcje/35pp85zy2YNmAGEiQYqGVw6N7rU\nfDwubdAOChnccFg2qqBqj5RmrVwpjMW8efIMlNzzHrUCXG26HwFvG/l8XNO4keljOwYH3RLlnTuF\nEeG7q1ZkigV6bAaXY4rsS0OD+YxfnhQZ3CBHp6nJex8tUQaMlJObvK1aOeMMkdL/6U+Vay4Bbnu7\nOaLKJVG2GVyeSe0nUQbEiaB8mCqeP//ZOLe2RJkALxQyQS/uI2Njksbx8suSK2jvL3x2gnUtUW5p\nMccBUaKsi9SwP/gcoZAJPNnsEfe9cFje7cKFZi/xA7jcP+loA7KmH3JIJcBl0R8eRQKYvWXJElkb\n/u//rc7gbt8uc+9DH5JCdlu2mDZQbnnqqSKNs3NwbYlyXZ1c/4gjTDoFIGtONYky+5jHRXE+ZDLG\nGbQBLgO0+nxxG+AefbT0h2sP1RaLSV8wR55r8F57SZXld71LgqE2g8uaIwRJtkRZM7h83nzeW+OE\nn+Vxd298oygpMhlZH884Qz7DlJFUyjDLZMOYEmWfUNDVJdf729/M2mYD3OFhM3YvuEDue+mlokgi\nwKX82j5/k8W7ALNGcYwFSZTJYtr7HNs+Pu4tkjM46B8wDQK4gIwRPwa3p8eQDvod6KAVIPe+/Xbx\nA1wMri4cBhiSw07BYj/194vPcdFFstbx/WprapJ3Y/vc1YxjYO+9Rdl08MHBn+e8dKkGGcSj5Hcu\nDG5Hh6ynWrWm28jP815dXTKObYny0Ud7ASiPwuP+Qz9RM7itrd7v0Gy/i2kwRx1lPsO5rY9W0v3P\n8UnlVdCerBlcqg9bWuT9z58v+5Q+rTWRMFiCa7ANcDmvXAB3+XLvWOe+x6O+tP1DGdxsNotcLodc\nLlfx7390Du6yZZWgRUfiXJEeDmD+0Qyu/XJcEmXthFKipiXK+hq1SJTZNs0CkcEFzN/6gGqXDMBm\ncF2Omgvgsp12P9kAlwsAIIsJcwWjURPdthlc5hVogLtsmUTr1q8Hvvzlyj7RAHdiQqI8p59upIuU\nmWmAy2Iml1xiJBdLlggoonNuM7h8h1pu57cAkMHSRudgr72Ayy4zP2feMuAFuBpw6aMrGF3VEmXX\nWOnokOqCnZ3i3LkkTtmsYXAffRS46SYv6PrQhyTPSZuWnY+NmbFgL/Z6U6sGcIeHTZ8dd5y5B3Na\n6DwkEjKORkZknIfDMu5sibI+Mw0QgLtuHfC2t5nPcC5rFg2QfiJrwZ8deKBI02MxcUiCzutrbJR3\nnEgAP/6xyQnXEuT2dnHibIBYzTgGXRJlGpkqzi+OO5s15PpAZ6i+3jCOjCAHAdzJyUqAbkuU2U9B\nUjK/TUrbN78pIIXmx+ByLbDnRCQiyomdO/0lym1twQzuXCTKGuDqStgELjazwDHOiq/a6HCOjYnM\nMh6XMW8zuHz20VEjRQWkjc3N5nijWhhcwDg7tvLDJVEmSGhvN46VNkpc9dqwZo2sNzbAZZpHX5+5\nVne3Kfp3+OECcFk0j+/SZnB37JDv3HSTXGfePHGSIhGT6jI9LYye3zFB3DvicZkjBxzgZXCHh/0B\n7imnmPXm0EOBxx6Tf5M9s/d6LVFOp73z2gVwjz1W1pRqDG4s5mVw9RrMeiQuBpcsjw60aAZXV0MF\nZN076aRKMMOgxtQU8L73yc8yGbk2z4jnO6MfMzRk1hBW4md/sJ3z5ws4v/VWb5qLBrj66Ct+d3Cw\nksGNRqvn4AJmjHG+XnCBkSgz8OxicGkEP9qJD2JwbZWebS4Gl859X5/3dINSyZvioSXKNoM7OWn2\nAE1UALL26OtqYz8dcIBX3Wh/rrVV9r9Xy+Aedpi3ZkC1z7uUmWzrgQe626ivYTO40aiMOeYn2/61\nligDBvDptcL1Prkn22OH441pei6z2fLOTpmTds2heFxUkvS1XQAXqP5u+D29x3V3G5myS6LMnFtg\nbgzu294GXH658ekBL16x2/kPZXDXr1+/5+70Gm35cu//q0mUuaG4cnBtgLv33l5gZkfYAQNwKasd\nGfE6NJrB9ZMoA95jgvJ52cDr672yWeZR2ZEYLoAugGtvkvG4V5rX0CDX1Z9LpST6pyce83o1GGJE\nOhYzm7t2tgGJ1PC8K1oyCVx/vXxHR4RozF8CKh3uVMoA2GXLzDMNDZncPG2sZs33oKs/0iHUDG7Y\nJ7TjJ1HWf9M6O2WT4ff09/metWR0aspIlEdHvXllLuvoEICr82/5PCyE8+KLMib+8hfZnIJYRT2W\nNYNrS5TnwuDyiJLmZnFg6WgQ4HLDIOs6OOh9HluirI8SAQTgXnmlzFEar7VggbD+LL5+6aVSlOgn\nPzHvcOVKYeVPOEHmSlDpgKYm76bisiVLJKdrTzO4gAEgdD7r62VcL1woElfNEjFHnyzEzIx8h3mC\nfkWmhodNzqqdgzs7K39/9KPSzquvrg5w+V0/W7VKGD+aDXCZg+vH4AIyz/r7/QFuY6MpIOSXgxsK\nGbZfM7j2O+B61tzsBQ78HN+5nYOrC6Hp9pHB1TItrv82g2sD3GLRyNlY5ErLL/0AbkuLzEv7HXNs\nhcOmHkR3t/z7rLPgNO6jXKeammTtuf56U92YAJfV5DWDu3o1cMUV8u8lS2R+DgzIc/I5GJwBjERZ\ng+2lS4Wp+sY35J0QrBDgcq0lg8t6B2R3mZry+ONeBre72w1wNXPCSt6nn+6tnE4xWzQq/cc2MRBC\ni0aNekgHagF5D+FwdYkyj/rRa3BXl7kXA/T0a5JJkfZ/8INyHRvgss/570WLTO6oNh3of9ObZA12\nFZvTAHfrVhNonp2Vn4fD5jPhsDjokYi8Vz8Gl0ct0Roa5H26JMpDQ5UAl4DQBXD7+0XeffDBwgiP\njJh1lH1srwvagddHoVSTKLuqKPN5tM/J7+zYIe9Kq1DI3gLSVvpDixbJs/T2SrGjeNwEW0olGaN6\nr+3urg5wWefGT6K8cKEwmsuXvzoG97DDDONfy+ddDC77k/U05sLgAtIHY2OyfupncAHizk4JTra1\nyX3f9z63z0bSQOff6jawSKDL7GDCvvsCDz9cSTRw7WabbdUJ84qrSZT5u/Z2s/YS4K5eLWNQk16J\nhFHD8P9aIs3nZNCYFo3KvKMfT/wyO2ve7/80gxsIcGnFYhEPPPAA7rnnHoyMjCD0CpW6p87CrcU4\nqWkcDAQQtkSZm7KWJ8diMlB19BIwDjKNi4qO8Gsp3fS0qVxH01Fdl8PH9rGIDM9npERZA0NWwqw1\nB9d1zAAjy3SeKInRm2k67T2gms8BeBlcDsJoVJ5RS7L0YvPMM5VyxtNOq+wLGvsSqGShUynJV1i6\n1OsYDA9XAj4aAe4RR3grBNoAN5UyDorrGq4iU0AlOLrsssqKsGSIyHpwfOpIMY/3qRYB7ewUcGAv\njJSIkMHlnz/+0UQ1XabfKSuM8ucMCgG1M7gcCw0NIr1MJExFSVuiTAeMAQoaiz7QNIPLHFN77vNa\nHR1y9rJuj16E7e8AwQxue7s5x9TPliwB/uu/xCmbS509tqcWBpfPx4IUS5d6nyGVMudHAqa4WipV\nWWlTz9N83kj/XAwu/6baIxIJdkR0hfUg02tzNQbXVbykGsBNpczz2RJlRus55xisq0WibDO4bC/g\nzSEig+vKmS6VzHnPDPLZDK4GuO3tXoky95xEQmShhxxi1kyXRBmQZx4Y8Gdww2FTQGbBAgElfmYz\nuM3NMkdefFH+zX2VAbNEQhwY/q69XXLR+R77+gSYEuDeeKN3HrAyvAtIRSLyTk49VZ6rGoOr6zcs\nWSJH05RKJq/Wj8HVdtRRZk3TEmUa91mCFZvB1cetaGWZfidBDO727abooJbPRiKmMn4oZIqh6fQN\n7QgHAdyf/tSdhkA/aGpK7rN5s7udWl0wOOh9Jp0Gw/QdXWSnuVnGHwN0vB4VATQdbCLA5fNmszKX\nCwXjU9FJ5rtySZTpS/T0GAZ3ZKQSpLD9rnM8a8nBde05999fWWwokZB5pWuiBDG4kYgEC556SgK9\nBLic4zw7nnbssSbwxLEYDnsBBwP2fgB30SIJuixcODcGl+OgvV3mYrXgcDWJ8oIFtefg6rEFmON/\nGhr8Aa7eN3l2ezQqBS9dVlcnvoqdFqKViH5+qw1wQ6FKAsdWBur+ALwMbq0S5eOOE3UcYE5ZKZeN\nnJqm56X+vwubEPjaqlr9fcAf4C5bVj34MRerCeBecMEFmJiYwG9+8xusW7cOP//5z3HcccftuVbU\nYDaDC5jFys4HcDG4WqLc3i4gyM80g+snUbYBbq0MLiPKdpEpvQgyz9V26FIpWcDsY4L8GNyJCZNL\nFw7LglBNVqk3JMAwuHwuMrxaopxISL6tHZGsZmTDATeDy7w0DXCHhoJlQalU5eHhLgaXkXzb5sLg\n6smpAS43Xm5OOgeVANd17qBtXV0i6XNJlFm5eGJCxsCSJcL2uphyGgslcAzYObguBjcelwWXm7r+\nnR7vNthhP2oGNx4XB9dWPhQKwHe+I8/EyGGxKM+zaFHlfNJzzTZ7MabxGkF9/qUv+TP7tCVLRCY0\nOuotelfNamFw6ZjqANyzzwLXXSf/1gEanbdcX28CCrOzMiboBGunoK/PBO7y+crcR/03YK7pZ36b\nlG16zFC5QNMM7uSkfNZ2tinVtwMsBFYdHTJHPvYx6Rd+5qCDxPG7+24DcPk7OqtBAFc71To4FApV\n5li5GFwtUf7ud82eYyuEIhHjWDU1eSXKiYRZY1kshvnGZHD1ewa8ANePwQXkezyr0M9cAPeQQ0S2\n+9xzBkgxcEL2jmBar10EuGR4QyFhRrWdf75U4z/oIHdbGhpEQlwsSgE6u8iUzsHV6S2trfL+Wb3W\nBrh+jMcBB5jqwNyjPvxhE2Sg3FsHn2wGt1x2M7j8flAO7ssvi5zXliizbbzXW98q/gjPitV2xRUG\nuGh5Iv/tl2PPccL1xM80g6vTHADvHkP5tD4mhaBC90siIe9H9wvXbQYBNYNLBY0HsNIAACAASURB\nVNAFFwjblk6btATeXxdUpNGX4L6cTkvQxLU2cy9jYIwWBHBZRdkGsoD7Z/G4zCndPy4GV/fLokXi\nIzBgQQY3EqmUQB95pAk2cSyyjgur6WrwrD9HI4MbVP3bZVw/6+u9RxZW+7wfwN13X/P/agxuuVzJ\n4DY0mOPH7M9rgKgBbpAxB9cOKmrm32+suPwu27RPwOfWa5bN4NYCcJNJE/BYskQCTSTF9PuhOrIW\ngDs5KW3RNUP0Z2h+6q9vftO/3a/GaqqifP/99+M73/kOUqkU1q1bh9/+9re4//7792xLqphrQSAt\n7srB1QyuLVFubpZorp9xs3Tl4JJpcDG4qZRXQmBfE6g8JohHcujoDiXKttRAH8quj1gJYnD1WZw2\ng+sym8Ht6jLH8ESjlRLlri4pQb58eXCFWpfZObg2gwu4Aa5fJGzRIpFE2qYZaF7bbwEIYnCDChTp\nSW8zuMWiKXTE6qW6XX62YIFEzV0SZcALcJculYJU1d7vww8bWYpdIduPwW1ududaxuNmPNtto0SZ\n0XKyUPqsUMA4OLfcAnz2sxKNBsxxCS4m5/e/dwe82CY+k+vnQQyunbvtssWLTU5fkLzctloZXBvg\n8kgCBhoAUziFxirKfI8MQBFkAOI0vfSSYbeCGFwa36Gf6YqxQaZTL4IYXA0UtNXK4N55p7c9J58M\nfPzjhsEFpI/ZDrtoFWCckFWrBFgAlQyu7RRNTQUzuGNjIpHXVW3tHNyhIfk+g5+AaZ+WJfMZAANw\n7THb1iZj1Aa+HA/aMVywIPj9ce/U+WGrV0twhEdFxGICDNge9vXZZ3ud7M5OceC1Ksi2REKOF3MV\nY4lGzfzt6JB7UobM9jH/nABXBzV5MkFbW2UVZb8+YCXVnh4JwnV1SWCLx84Q4Oq9xQa4vI4fwA2S\nKG/bZopM0dfh97/0Jam1AEifEeTYfXvQQZUOpZbBBhkBZNA6oAEu/89n0sHUREKCdVSkAG5ZqF8O\nLmAYXM6NaNScmX7VVeacXV7LlijrviHbpgGufQ4uTTvwc2Vwa63VkEjIGu1icOknjY56x8vChdIm\nG+AmEpUAV5sGuICk5px9tvm9H4PLINaDDwYfuWcb32Vd3dwArk1cASKXX7u2MhXFdQ17bAGyFzY2\neovJ+X2eBTlrAbi5nD/A9ZOqA/59rU37Ji6Au3y5VFYHaq+irPtk6VIZezyD2TbNIGsfT/9eA1x9\nH/0ZWq3B8ddqNQHcSCSCUCiEQw45BPfeey/GxsYwoSsY/QPMr9O56LsYXBvgnnGGOzJsWywmC5Pe\nOKsxuJ/4hBRqoINq21wYXEqUbakBDxtnQZNqRaYoH+XvamFwbYDb0iLgg9ekREsDiQsvlOMvbr45\n+Nq2aYBrs9DcYCYnvccEBUmUDzxQ8jVts4tMuaoo09Lpyk3Lj8HV5mJwYzHgV7+SQhB0ZCi98hsn\n2hYulAXHJVEGjEQ5l5MIXC15oYccUrm5BTG4GuDa7Q2FvGMB8EYZw2EvyIrH5d3pfqTjuXSpfP6m\nm+TnfkWAAHewS7dX/02rRaJci7EwzyGHzO17tTK4VJro9mcylRuxC+DyPVKmFo+bd7lggeSAdncb\nBtfOwdV/A3uOwWXbOzvdObhcVwsF95zo7BQwEwRwb7wR+Pznvfdj21hMhrmAHR3CQiQSleyVTrmg\nfOvYY82+UVfnDXQFMbisMq6LfrF9dg7u8LABHZQoa6WOndcFGImyC+AymKHNDp4wBzfIGbIZ3Guv\nBT7yERMk4zo3O2sq4PN3l17qfV98/65iVrUYGVzAAFwNYuNxM4a4/+n9m85re3twkSnb2tokqPbo\no8CPfuT9nZ5vgLvIFNvukigHAVyCSxYmIzvKMbtypTdYCMg7cAUFaXzOlpbaAG406j1r3GVaosx7\n+DG4731vpYLj1QBcfk73e1OTpOkcdphXuh8Om+/bFYQZDNFVlF0S5dcCcP0+4/rOSy95GVz6SFS6\n2QwuU2peK8BdskTUE7Qg0LVokTwXgzy1GN9DKiVBx6DUNbbPflf896pVkgvrAnra+M7svY4Mbi0S\nZfon1YLZmYzME54SodswPl5JBGjzY8u1fec75rxl13OvWSNBB6B2ibIL4Orjl7S5JNJBDK7refRe\nVUv9jj1hNQHctWvXYnh4GJ/5zGfw9a9/HSeccAK+7CqLO0e77bbbsP/++yMSiWDDhg2Bn9WFKGh+\nANeWJhPgfupT7uvYxrwOvcDSEaOs1ga4hx8u+nEdIdemnQotX2HF0lokyixORHlrLRJlFrACXh2D\nq83F4L4W4+L917/6M7j8HFBdouxnLomyX/tPPFGOJdEWj4sj6Jr49j3sHNxrrpHzLxkcGBsz/64F\n4AKVgJ7f0wwu81RrkQ2xP/0kyrUyuIC3Gio/D3hlMNpx0dX52AbmTh1zjJFLEgAEMQcuC2JwdVte\niy1ZUv2YA9s4LoIYXM2w6Xa6AC7zSQFTRZmBExeDCwgwWbRI+pVHCuh767+BPS9RJsDR4+vii2XO\nEeC65mVHR3UG96ijTOVbDVrZR2SVCHDtHD8a1z/9TGvXmsJD6bSwkDQ6ssPDlQGwhQtFbstiYfo7\n+by3gBOLxhH8At5aCzbAbW6WP34M7uOPV+aTuxjc/ff3nnloGwGuZnBjMbOPcm8FDOD2U7owOPpq\nAW53t3GqNcDVwJFgM5EwQWrAy+AuXGiAcS0At7VV2JEVKyrXYn1PYM8yuLxmd7fxGarNtb33Bv7w\nB//f85pHHWXOtw0yBgqC1mGOUc3g2o4sc3BtI6jQz8YcXLvIFOAPcLu7pdDSm95kgoT0tZqbvakn\n+rouBtevinKhUDvAtUmMWiyZlEDR6tXmZ1R7+EmUgwBukL9iA1wbjATJZhculIBfNVZTGwmiUEgY\n3EMPre07Lomyzh/mCR8uY/CEikfaYYeJQuRd7/JW+Oc7tiXK+p5+5idRjscri33ZVgvA7eqq9K30\nXnnUURKAO/VUCd7WAnD1fFy6VPK/h4b8sZb24/hsNF1kyg/gMh0J+McxuDUN0bVr1wIAWlpa8CDD\nBHvA3vCGN+D222/HJz/5yaqf9YsqML9UL2AuBncuk5GOkx6omsF1SZT1d6tJlOno6mOCbIBrVxYE\nxHHYudM4Kg0N4lhVkyiT7Xnzm6sDBm4OLuePwGzNmrk7+H73ymYlN40bEi0I4M4l9xFwA1xduVdb\nPO7OJd62LTiKZ0uUOeaYK6kZXAYKqoEtRnKDGFxWaGUkfy4Al4t3W5ssaq6FVgNcF/tpP4cL4JKR\ncvUt88onJiQ/6MEHTREgPwY3yIIY3NfK3tK++EXvweW1GKWb/f2y4dUqUQYqA0pkcNvbZTOrq5Pc\n629/W/IDNYulv3f66VLRcP78yornrk2rGsCdq0S5s1OAgt7s6eiQCXM5g8zd1Iwbr0uAC8g68v3v\ne7+rn4uR+1jMsI22uQCubRrA8Yz0XbsqJXuLFklFShtA2u3WAJeAGfCXKEci8t4J0FwA929/A97x\nDu/POa50Du7q1VJkyM80g6uPD+F+rMcY+zRonnV2vnqA++53yx/A5NFOTXkBbi5nxolmXghw43ED\nCmrJwQWkPzdtqgzO8XtaolwLg2vPsaAc3Hhc7s+iiK/1dEbe+8gja1OzaTDpZ8wTtxlcsnaAf1qQ\nLgSk557N4BIc2QCX/54/XwCufk72n+07sg5Ff7+pjTE765UouxhcAlzuS4XCnpUof/KTwAc+4D0x\nwGZwSYrQOCabmmTsT0wYsDsXBtce/0EM7sKF5giqWs2ljKtmfgBXt0mrlFzfpzxYr0mrV3uDCDRX\n1WW7ar6faYmy3t+oYgt69loArjatkqM1NIhPfvfd7kKN2lwMLufIiy+6sRartfvdv1YGl8UB/78C\nuBdffPHuf4dUKPrCCy98TTffZw4ah+ZCD9Dj/Vki0o781lFEo21AT+/un0dHYoiEWhDJ5xCdSSA6\nXUZschroqW13iA1HMDHRifaWaaBnFwAghWbUzUwhMjiFmWIrBnpm0Y4xoKfk+W482ol4bhTo8R7m\nFB8LAehCdCqPRH4KxfEU8uMxZHJDOKAringhCvRIOdmG2RTG+xIoFuKIDQ8BPbK6NU4nsG1LA5oa\nwkBPPxZFgfJMJ+65fRLdTQB6xsz9ivUoleqx1/wcVnYD6BnHKSysZfWjbZn0PKSmc0CPFwUeuTKO\nfTtDOPmEqZquU80i2RTyQ0kAKaRTs0BP3+7fpULNWNQdw8s7o4iMDQM9k4gX67GrL42maAHoGfe/\nsGWJqQyARkSGdgE90/jw8WEUJkO7+7Wmtla7Ry4OoA2J8QEky3WIhWKIhcoYHYkACCOWG0Y6Xo+e\nnRHExoaQSTQjHi4DPQP+1wTQ2d6J+tCEZ+zGZ5oApNFY6EOpNA8N9bPoiAwDaEO6MFQx9myL5VIA\nmpEuDAI9RVx+njgPv/tDAkArIrlRoEdSELpSaazoiuHe2QwSUTMfaJl4O2LlMtAjZX3jWblGLCvt\nSMU7gNkQ0NOPRKgNC1tLnnGazoZRyLVjYnQaR+ydA9CKtpYZFHdlUciWkUIC6BlFrRbPyTxLFsd2\nzycAiBUb0ZhJVLT/1di7/glAGXMa/4mpDDLJDGKxCIpbezHZl0ZyNubpi8RsE6LlKOLT00gUirvf\nQaYQQyzSAvT0AwBSE3GMDLdgxZJpbN8eR/3kABJDJbxpGRANdQCIIjbUh3ikDbFcFugRyiECoB1A\nMjEPu3pmUD81unv9ik/WAWhAfFTmCADEwh1Ioejb/6kJ6evElLevbYvNAMB8dGTy+MtIEs2Zmd3j\nhRYZimJsrAPzO0oVcyL1Spv/5eQC4oOmv6JTDchmM0iVxoGePKIAzvhneN5LciwCoBPx2QKe+t0I\n4kX5fWdrO6aKoYrxUFeIAWhHYqgH8Cm+Y1syMQ/924o4+oDC7r4GgJayrKWNmRnPM8VmWzC2rYB0\nsgHo6Ud0pgWDL8+gKRlGbGAE09NdKO/sxdR4C+LZPDLRDBLlMtBjKotlAGBMxlUqmvZcvy0UR7HY\nhhXzsp51IzbdjNjEFCJhAGhCNDviaa/LIiNxxNCIyPQMYrHE7n22OSJramxkF2ITCQCNaJ0dQAL1\naErM+o6ZzuY2tGe8a8CrsSiA5sZO9PeUER0dAXpKiEU6USpFEB3sQyLWjnx/AZEygJ5xpEpAodCF\nVGIWC+vGATQjmh9DYigPYD7iQ73ApLu0fluqAb97KoVV+1TuO7F8GkATYsWc3GcyhSSSu99VNCtr\nbWRiHNHsDIBmxAbNvWKhDqRnJir2WgCIzzaje14M4T4Zo186px5fv7reVBl7FRaflPem53mQxSKd\nACKID/b46v0SoVZkUEL9dAlAMxLZQaSnY0gn68yaFW5BIj8B9HjPAEnlYyiMNaIULSM9kQV6ikhO\nN2BsLINUKbu7X8IA6uvmITk5hijKAFqQLI4jNhMDkMJXzhnEPiumgR5JyI2PxxCLtiKWH0NLfcaz\n3tSlOrBiyTT6+5PITA5iKi8eebqYQzGfweTgFFLJsuedJLNRjA83A4ihMFZEXTqCQiGCuknZQyv7\nGSgWu5AbKSEzUeknumwegHn18KxfMbRhuncM07k6yEoIZHL9u32XhYkoMuk2xAb6EB8OY3Z2HqKh\naSQiZbTGCs5xBQDRcVm762KTAJKIDvUDKeMPRQZl3YxM5ivm6lnviyIWK8/Jf1qaAL722VTV9UZb\nMtaBWMHMjdhkPYB6RAf7gKi851h0HqITWef+kxwNo5Bvx/h4GA25XqDKK0hNhFCY6ERxtIBYvgT0\nTCA9mQTQgsiEdy21rW4igtxoK7I78qgLRT19lkzMQ13Suwdoi+TlXURKBc8a72dcc+Jj3jn8+58C\n/+eXaaw9v0nWs1n3ehYbfmVPHO4DEtKPIQBLF7Tj8YeKaEmi4p0nIu1IhGaBniHEc9In8fzw7vmc\nmAYmJ7tQGMyjIRoGkEZ0dMAz7hNoRX0yDCCGVHkCQBrxkX7vOIpE5l6tNsBqAriZTGY3sB0aGsKd\nd96JNWvW7LFG1GKXHmzCWmvicaxJJJAY/A2yp12CWOkmT3WhaPFAREevR+TqGxEtHo1oaByxPzwH\n3HpVTfeKzXQAeALJ3q3AKqmwtF/2XCz/0wZEv/0cZgbvxEBPGR2nvweI7vB+d+hRxP7tfCD5oPfn\nsykAWxC57RbE/+tBTE18FPnSAUif8jacFOnDSQBwrXy2vvAOZCdPRql0MOLveTcQFd1mU/EwbBv+\nORZFdgKrjkMIwPHZq3HdT96D37WcCvzuj+Z+2fMAnIclt12Gc+uuA35T06MDADLjjyJ97Q3AzV6t\n7u66H1+s/VpBFp04BfnC+wAcg3S23/MOLyi9Ab+aPAmXYB2inz8PWH8P4tnPYjB3LjpvuQr47+/7\nX9iyRP7jAL6KyL+cAkS3YEHVb8zdEsV/AnAH4h/9IBL5tYiVDkIU0yhM7w8AiH3hfGTyZ6BQWoXY\n6f8bmbFvIRKaAVadFHjdhaO/Qd2P7wF+9W1zr9HLAZyKxNvfgiQeQyY/ho6zPwTgfqTXrQUSfw28\nZrTwTgDXIn3Wx4D4Y7v9lsjU0QBuRfTSS4DvCq3zrwD6Z9pwDTYisf0FYNWbPdeqG7z9leeQgxQT\nU28C8AvE/+0sIPEQkrsewnQ5DaxahfjQf2LRcw8BvzfPkpptxsSuP2JiYAe6zjsfSyLXo2Esi6lv\n3IJwaBLJ4kHAnz8X3PnK4uU4gK1IXPVN4PqbzM/H16OheDiw6m01X2tPWiJ/OtITH0ZiZiGKRxyL\nycL7kZxeDjxwgfnM6JWITS/Fh7ddhgUP9AJXbwEAZEr7ITZyE7BKaONUcTWyuTuRfvYJ1IX2Q/1H\n3wNE5bOxgT8A2Avxt78V8aHbEfvSpcDX7vK0JVn4OwZeKKP+4/8CxOTsj3huLYCLEf+XdwPRl+Ra\nux5CauARYNX5cFmqHAKwE4lvfxP44U3OzwBAuAwAPei8/QcYzZ2JyPBGYNW7PZ+JTi8D8Ce0bP0b\nsOpdFdc4afr7+Pd7vwms2rr7Z7HxCzEz8ymkvn0p8MMfOe+dmOkC8DjiD9yD+JFn7v5559BtGJht\nrRjPmenliOM+hFY7qtX5WCL3JHof3InGx64CLv3d7p+HACwqPojGF4aBVe8x7R7+Pxh74kGk8muB\nVUcgMnwzhh6dQFNoHKHV5yFa3orpVW9EcfhWxDddhrqJjyGGErDqzIp7J/MfRarwbmDVP+/+WVtp\nfwD3YvnNXwFuN4UR4qPfRvwPjyCMWQBXIPLlLwKX3Bn4bNHiakTHL0b0hX7ES0ftXqObJz4I4DLE\n3vcuxKbWALgEraefjMT4xWiObAdWuVOYOodvQMezm4H7v1WtW6tax9jvsWVoMaKnnwbEn0R8+FEA\n3Yi9dQ0Sg3cjf/MfUR/KAXd9FTEAoZltyA+XsPCijwG4HZErvonotTdhfvhxJI45HAi5AV9rdh12\n5f4dnTdfAdzp3ROjE/8C4ErEfnEzcPfFOGp6ERqm9wFWyTiIFE4G8ANErr0G0ehWANcgfuwRQEhA\nUWzg90hf+4uKvRYAYiPfR/dM1+658pVyCB9pXwKseulV91nslb0w8b6TgejLVT8fHXwUcbQh/E/+\n8yExfDMyGzei/j83APgx4md+HOnS/kjnzgJWCVX2hak3Yv8vPgtc4HXgU6UDUBi9HGGUkfnk54D4\nRiSyn8Ps7GeQ+t63gB/dsPuzDflHkfzK1xDFNIDrkfjuZYgVDwHwbrzhzKPRHFbBwtIbEMv/HLGv\nXISWyXcBq/737t/9eaYTV25Yi/twJurO+iiKo99BCGWk1/8HSrl1mNryEJrDA8BPzDtJllZgZPg2\nAJ0obHwOmXIDBrAI9Ws/AMSeruznchhTUzuQ37QVmdM/CcSerdrXLosO3onSR76GmdyZAE4EAGTe\nfQIQEbC0VzmJz4TPAVZ9E/GZFgBPIbpzGxLhcbR+/2bgRz9zX/cVfzTzyAMA3oboO98GRAzBEJmZ\nD+AxRH95C3Cvdy4f8CqeIwHgdACYw7RP7XoI0WtuAX4ivl4sey6AzyL6trcCkSEAQDz/FKJXXw3c\neF3l92frMTq4ESEAiaOqr+epcgiTk9tRvPO3iP/2IeCKXyI9uQbAzxC94VrgF1f4fjczMw+5wd8g\n980bUTfbANxzye7fJfNPou7Fl4FV73R+N1JOAngR0QfuBVZ9qmo7YxMfAHAFYh98PxAz+TJxAG+d\n7gbwKGJvOQYIu4POsVc+k3j7W4CwmY/LR67H/2PvvOOjKNo4/tu7y6VXWkJAQkINTYIKUiNVKWIB\nG4IIKDZAQRReQRAVlSKoWEBFAUERREGaNOmSCAKBACG9hzRCert73j+Wvezd7dVcCTDfzwdytzs7\nMzu3OzPPPM88T3R8CzygPAEc+UDrGte8v+CaUgDc8wxcKx8AsBHK/80G3t8DgBckZepUlG7cAV+u\nAsBkKCY9ByjP1bVD4Xp4q70B9IT77q0AJsD14WGAPBeHq6pwuLqaNz+YNMlkG5gNWUFBQQH17dvX\nrLSDBw+mzp076/3bsWOHJk1kZCSdOXPGYB6GqtmnD9EffxD5+WkfP3eOKDSUaOVKopEjicaNI1q8\n2KzqEhGRSkX02GNEPXvqn8vIIAoKInJ3Jyot1T/fujXRgQP6x6uriQCiN94g2r+faNAgIh8fouvX\n9dPu2UM0dChRYCBRVlbd8dhYPo/eveuOrVtH1KgRn7+YDz7g0372mXn3LKZ9e6JVqyy/zlI2bSK6\n/34iX1/p3+ebb/h7+PNP/vv77/Pff/jBsnKEfOLj611lg0RF8WVcukT04otE3boRRUTwx4R7GDiQ\n/3z2LFHfvtq/oyEefZRoxQrtYy+9xOdz4waRvz9R27ZE2dn8seho03n+9huf9tw57eN//80f//Zb\n7eOFhfzxiAj9vIYNIxoypO77sWN82kOH+O/duhGFhPCfhwwh+vFH7evLyojc3Phn7tIlohMniF57\njeiTT/j3d/p00/cjRq3my1+zRvv47Nl8+zuL1auJ7ruPKCCAKD+faMkSojff1E7z4otEkZH61+bn\nE02eXPf9zBn+HgcOJOrViz8v0Lkzf66wkKhTJ6Lff9fPr2VLIpmMKCWl7tiqVfx14mOdOxNNm2b8\nvlxd+ffLFC4uRF99xZcxeLD++YQE/tzDD5vOS+D11/lr9uwxnCY3l08zfrz28SefJOrRQz99WhqR\nt7f5dSAiuusuvq8+cUL/3LBh/BgkZvRookWLiMLD+e/DhxMNGEA0cyb/3cODH1t69SI6eZKv+3PP\nSZf93Xf6z3VGBn/PuuPQn3/yY8j69fz5LVtM31tmJtGHHxI98gjf1whs3Vr3vKxeXffMPf440fz5\nhvObOZOvsy144AG+XGHq0Lo1/72khG/bceOI3nqrLr2PD38+KYn/+9VX/HGVyng5X3/Np1+/Xv/c\nhg38OXE5YoR2+vBDol9/5T+Ly+venejLL6WvffZZoqeeMl43SxHewfR089K3bm36fXj4Yf7+Dh2q\nG4PWruX7dFNcusSn69CB/0zEvxuAfr8SHk60bRvfpwm/3/jx/Ofycu20MTFEzZoRnT5N9Pnn+uW+\n9x5/XUwMUYsWRK1aEe3cSdSxI9Grr+pfk5zMj1MAUbt2df1sQoLhe/Px4f8lJZluB0P07090+DDR\nQw/VzSVu3JBOW1TEn+/YkZ9fbN1qON/KSj7tuHH835wc7fOZmfzx11+3vu71pWtXomXL6r5/+CFf\np4KCumOBgYbnuMI9NmlifplKJd8///wz//3oUT6PDz4wfl1REf9bz52rn/auu6THPAFBNnj6afPq\nKPTfcXHS5zdt4udBhhDGB93naOFCfl4gNRfv1Yto1Cj+84ED2vNyAU9PojFjiObN0+6XBR59tO45\nFsZu8W8pxkrRVA8LdqbWUVFRgeJi80xE9+/fb00RZuHmVheqQIywZ0jY92JoX6whZDJg69a6wMli\n5PK6eFNSeysMeccV78URO5mSykMcJkh3Dy6g7cxk7Fg+PI/u/UnZyZuLOeFSbIFCwbdBkybA3Ln6\n54X9D2IvmYDlFgy6e3DtgXgDvrCXUndfuHi/i+C90RTPPKMdVkFclrDXydOzLp6ZNU6mdI/rtpOU\nUwIB3fvQfe6EPbbCvQghpwQE5wSCG/2OHYFdu/hnn8hyJ1Mcx5ete50t9+Bag9jJkbC/2JAXZV0a\nNQK++67uu3j/im60NvH+Gl0nUwKCM5P6OpkCjId80a2X8N6OH69/XrhvY45RdBH27A4bZjiNISdC\nTZtKx39t0gSYONH8OghlpKdL+2S46666519AqdTfg5ufX9e/i2NuCg58hFAoukh5URb23un6KhD2\n5MbE1JVriubN+T3nYq+lgL6TKZmsLsyRMUeOy5aZLtNchL28ut6JxU6mdP06FBfz9yR2TmMq9rXQ\nt0qNO7qOb3TR3YMrlxseF3RRKoHAQON1sxSp99wYQlsaQzdMkHhcMoWwl5VIP5a67nPt68u/G8J+\nVLGTKd06Cn1fjx78P12EugpOphQK406mxCHvKirqnnFjeys7dgSioszfgyuFOEwQx/HtZCoGvELB\nR7Xo2tV4voB1e3AdhSknU4DxPbiCx3FLxn3B67HYizJgmRdl3X5CcFBrCEvb2pT36KefNu963T7g\n7rvrvOHrIuVkSrd8NzftcHlSe3DF80KpOtgaswTcLiLvGVVVVVCr1fjggw+MXGE5JHhRsABdT4kC\n7dvzE8KLF7W9KFsCx0mHhRGcoUg5nAAMC9PCxFtwMlVSUndMFyFMkFQcXEDbyYm7O+9cRaoeQn0t\nRXAQYW8EAdeQEKPrwU54GSwd9B0h4Io34AthgoSJjPBMCJ2lMKkx55EfM8ZwWUKenp58GwUEmCfg\n6nbeAoacHeh2bGJ0J99STqaEz1KCgxC6pbBQe4IjxLG05jkUu7QX34OxhlHz6AAAIABJREFUME/2\nRpgEKpW8g7qSEv36GBJIdRHaROq9EU/2jQm4gG0EXEPeUXVxceEFrn79+IUOXYRnz5hjFF1WreK9\nlOuG+hEj5TwL4CchUvfm5gZ8/rn5dRCuIZIWcIW4yWIEZ0jC76BQ1DmZAvi/RUXaTqaq9bf5AeAX\nv3Qnsm5uwKJF+iFkBMQTYXPRDXOh62RK8FR79918jGhDGPutLMWQgCt2MiW+Rw8Pvnylkv+tzB0P\nhGfSmIBr6L3VFXB1n0NjXpQ9PS135mMKSwVcXcduUggTeF0vyuaMRYacTAnnxEyaxDtyE2KlCxNm\n3cVkgJ8jPKK/00GDIPQIAq4gOBqLgytQWVknsBgTXMLD6y/gurjUOZny8NAOi6WL+L1esMB4vkJ7\nWeNF2VGYI+AKyiwpBKdklgi4wiKYpU6mhHc7P18/hKApAVf4LerjZMoSDAm4Qr2tCRME8Pd540bd\nvEZKABY7nRPytSdmNemff/6p+ezm5oZAGy0r/v7775g+fTry8/MxYsQIdO/eHXv27DH7eldXaQ2u\nXM5PpK5c4R8asYe/+iJ0LoZizfn5GZ5IC6tNSqW+u3cxQpgg3XhWHh789YbCMIgxNfAaw9u7fp2y\nucjl/CTEUHsZEnAbogZXKkyQ0MEGBmpPZAQvyoYmreaUJZPx9yNeKf/tN+MhPwR0V291j1uiwfXy\n0tbgGhNwDeHhoS/glpby92jOs66LsMigew/O1ODeey8/iVqwgA87k5Skb7UgXuE0hrHBQTzZF3s+\nFOPmpv+71EfANWeyvGsXPzk9elT6vDUaXHPaytBg3qyZ5dYBhhA071L92Isv6mtwXVz4/l0cn1ss\n4Pr713kIFjS4hgTDPn3qQhiJMRbFT8obqSl0F4l14+AKQuBs6e3adkFXwBU0NsIisq4GV4h/znH8\n72/uhFLQ4Ep5f7ZUwJWyNjMkCH74oe01HMb6ckPpTaV9913+9xeec6WSD+c0dKjp/MWhWUwJuFOm\n8H+vXKlLJ2WtA/Dv4hdfGC5XEMY9POrGL7EGV8qLsoAg4HKc8f6xUyfTaUwh1uC6uxu25ADqrAPM\nea45rm4eIpSjm5f4rzPQHaOkhG5jGlyAb7P6CLjmhgkC+GciJ0df1jAl4AL6MX+NUZ+5vXCdQqG/\nKNSyJT/+GgoTZI6AKw6XJ6XBFS/Ov/yy/RdQjGZfWFgIAPDReUKE4wGWzEYkePTRR/Hoo4+aTmgA\nQwKugPDQLF5su4Y0JeAeOGB44iTW4F67ZlgTKTZRFt+boFU2Z9JvzSq9wBdf8HHl7I2gwTU0gBoy\nUTYWyF4KR5soiztmLy/gscd4jb+uiXKZYcezJssSrzAKnae5ft8MmSgb0uAKlgaGNLji0BXWCLi6\nGkkhxAIRH9rFUoRQTWJGj9YXNBxJWBj/b/FiIC2NF2jMNVHWRfjdpPoZcUiXtWulLU3E8egE7G2i\nLCWEibFGg2sOwiKT7jM4YIDtFvHc3HghSEoINRRKrrBQW8Ctqam7d0HAFbaoPPKIedsZzMWasUFX\n+6gr4NZzKmAVgsApPDtibY4QakZ8j+LFGEsFXI6T/i1NabpMaXBfeUXLt6IWxmJnWos9NLiCKbx4\nnA4NNb7IIiBsYRFvRxH6E0PlCuUIIYOsWajy9uavFeLVCovF1dWGt48IVFTwQtO+fcbN2zt14vM0\nZQJvDF0NrjEBFzDfCgjQFnBvVRNlYxpcwDoNbkGB5SbKAN9/JyZKC7im3mVHCrgeHoCUAS7HAXPm\n6Ie7A7QFXGMmylev1lmd6N6PEKd+5Ur+nG5IP3tgtEkjIiLAcRyICGlpaXC9eWdVVVVo1aoVkpOt\n9+ZnC0wJuPffzz90tjS3FX40Q0KWqYDoQqdaVWXY/Mjbmx+cBS2dGGMaYjH1eQnCwiy/xhpMCbhS\nGtxGjSy/J/FE0l6IV7cEQYXj+M5u+XL+nK6JsrXmGeL9EObudRIjmO3rTnIMaXABaaER0I+DqzuB\ncnc3T4MrnggI74dabd3kRVhkENOpk+X52APBRBkwHAfXFKY0uELbh4Yavl53wJUatGxpomwK3fiq\ntkT8vgi0bcv/swVubpYtuimV/KKQcK+62muxgOvqqm/yVl+EtrCkPxTi4Qp4e/MCphBfWGpSZG+k\nTJSFz+7u/NxASoMLAE8+aX6dmzbl+3CpCWh9TZTHjjWvDrZCiINsyX4/c3ePmRNDWip/QcspLBAZ\n0uAKiBcxDGlwTeHtXadwUKv58cbd3bCJsrBQVllZZyY8eLDxMrp2rYtlby1iDa6Hh+nfwpRGUzdv\n4TfTfR4agoDr5aX9LAnPinjBwBwNriVbk4Q9uJaaKAP8Qs+uXfpjq7kaXEv34Fpr3SGTAW+/LX3O\nkAWOuRrcmpo6nzG6bTZ6NL+wK3XOXhgtJiUlBQAwffp0dOvWDePGjQMA/Pzzz/jvv//sXjlTCAKu\nocbq2JH/Z0tMaXCNIXSowoNhyJxUeGmlNAKO0OA6CoWCX5k0V8AVO6qxBCF/e7aF1B5cQLtjE9+P\nrmBoCeJVWnd3ywVcQ2ZxxrQRhgRcLy/t+7BWgyuuj6DBramxbnHKUF0bAq6udavw1mpwhQUKUwKu\nIaRWtYU+R9cBjqn2HzRI3wmaNQj3bWsNLiAt4NoSSwVcwURZmPzqCve6Jsq2xhr/DLrmtRwHZGTw\nx+6/X9oPhL2REnCFOnp68hNVXSdTQntOnmx+OXI58MYb0udMCbhiQcEaXyC2Rtibby6G5iFSyOW8\nVZo5e2/F6Pb/jhRwOY7Pp7LSuIkyoO1oypx3p3lz4JJ+BCGLEDS4gomyqd/CGgFXJtPXMhuy5nIk\nS5Zoj1NS2lp7aHArK+veEbGfBFMIC6bWmCgLY7o51FeDaw1SGlzdfkRI07ix4eewPr6BrMGsYvbt\n24eVK1dCdvMteO655/DJJ5/YtWLmIJghOfKHro+Aq1TWmSgDxvdLfvstsGWL/nE/P/vvwXUU4oFK\nCikTZWu2fzvCRNnNrc47pzDwEmmv5ulqcK2dvOpqcC3dX65QSE9CjK3aGjJRHjhQWzsqJeCauk9B\ngyvOo6pKeiXdHGy5597WiNvCWg0uwA/EhkyUTeVhyERZ93fy9jbd1yxebLqu5mBPDa45z2B9cHW1\nbFIvtQcXkNbg2qPe1mpwpRwkOROpPbhi/wLFxdoTKbEG11bUV4PraCxd/DOnPxGTmGidgCtepLVE\nwLXWRNnHR1sTJpglG/KiDGgfs0SIrA+CBldwwmVrAdfHB3hJIvRqQ9Dg6s71pIRZe+zBFcoC+Pmc\n4PvGFIKAa60G11FOpqxBPOc0VL6bG+/YUFg0umUE3BEjRuD111/HxIkTQUTYsGEDRowYYe+6mcRQ\nmCB7Ul8BVzzIGRNwJ06U9jo7eTLQq5fpshz9IFmDKQFXV4Pbv3+dww9LcNQe3NRU/rOgtVSrtTs2\nsYDbtq31e3NsYaIsdY01GtyICP10gLaG2RwTZd0JjhBKxxoN7q5dtg+vYSsEE0FPT/1JVJ8+5pu0\nGTINNleDa46A+913jvGmDtz6GlxLnKEZEnDFTqYKCvh3wB6WCLbQ4DYEBGseQxrcykrDJsq2or57\ncB2N1HtuDBcXy8YpS4VbwLCAa0hwtYUGNygIePVV/rNgEaVUGtfgChYAQlghR6CrwTU1h7FUwHVz\nA778Uv9cQxBwdXGUBhfQd+5qTjsY0uCOGmV6O4SlJspSWnd7Yq6JsuC5f/ly6cXqBingzp8/H2vX\nrsWcOXMAAA899BAmTZpk14qZg6k9uPZA2ANQHxNlczS4hpAKsSGFM1Z5LEV4oc0VcJs04Z3DWIoj\nBFygrp7Dh/Md2pIlhk2U6+FbTc/JlKUCbosW0uUbG9TMXfnXfe7qY6JcUWH95KWh4urKCzB33aV/\nb127Go9dKKa+GlwpE2XdAcuRWnBH78G1JdaYKBcXa5u/+frW9R/+/kB8PD+ptUf/bSsNrrMRLDXE\nWlSxBhcwbKJsKyzR4DZubHhfvKOwxkTZ3nMIa02UhbHFmjHCzQ1477268gRzZblcO4SX7jXe3vzi\nk8Mm6CINrjmaREsFXEO/rTDPbUgKEilhtkMH4+O9pRpcqbjplmpwdcfNZ581fa2lTqYcPa8fNKju\nvgyZKLu51Y3fL7wgnY9cXveeOQKzmtTPzw8zZ87EzJkz7V0fixBCATj6x5bL7a/BrS+3gwbXUocY\nhnCEkykxjRrx/xQKaRPl+v4mYlPWadMsF0QaNwaWLtU/bo0GVxchzqQlAq4hE2VrNbgNGaWSHwS+\n/75+/gHqq8HVdVZiqWbH1sjlwIoV1mmATGFvE+V77jEcF10KpVI7/rdcri3Y+/vzXvaVStvGjRW4\nXTS4HAdcuFA3gdXV4AINy0S5dWtgxw7blm8p1pgo2yqcliHqY6JsaOuMJYjHKxcX/t2TWmhzhoAr\n1uA6UsAFLNMqOgJBQSTGWCgowHoNrrhdPD3Na9OWLYERI6wbwxq6gDtyZN1nczS4xjCldbclRouZ\nMWMGPvvsM4waNUrvHMdx2OHk3lrQ4ErFp7MnCkX9NLhyOR8EvGVL29dNXJb4b0NEvBIrBceZ37kY\nw1EaXF0UCu1BWvAUXF/TErFGqkOH+uUlRjwZ08WSidHmzXWCvTkmylIr+FVV1mtwGzKurvziR309\n4xoTcM1pb913ylDMXEfBccDrr9snb3trcKdOtSy98PuI+yVDAq49sIUX5YaCOBKB7h5cwP4myqYW\nC4z1qc7A39+ybT6GnNnZEmfswRUjXjAWtg8YE3ABB2qgFNpxcE09v7ezgGuJIyaByZOBbt3MT18f\nE2W5HNi507L6ia+1RMB19mK01Hjg7W2e0q7BCLgTJkwAAMyaNUvvHGePpWULEQRcR8RsFdO5s/Xx\nOYUXJTbWtnWSKgu4tTW4AD/w1beTdXXVdy/vCFxc9E2UbTFJtJe2zZjnREtWyh95pO6zuRpc8QRH\nMFG+nTW49cWYibKpZ6NdO/1jbdsCv/9e/3o1ROytwbUUsXUDIC3g5uTYr87WanAbUhtKIZ44Cf2u\nvU2Uxft/jZ1vKIJCq1bAqVPmp3eUBld3gVOIvS6FLfbgitHV4Pr4SL8bYi/GjtbgqlT8wqijBdyG\nNH+0RjAaPdqy9IYEXHu3gyWLCeLn1Vk8+KD+3Ozjj817FxuMgNujRw8AQGRkpOZYTU0Nrl27hhbm\n6KLtjKcn723S0T92dLR111nS+dSXW0mDa0xw+uYby8z/pBACwjsaKRNlW/wetoo9qoutNLhiWrQA\nsrONpzFkony7anBtJeBaq8GVcp/Acc6JZeoI7K3BtRRdAVeh0HauJWhw7eFwC7i9NLhiGrqJckPB\nEt2EszS4xkLi2FvANRQ3VbxY6+g9uLW1wGuvmXZCeDtrcB0hGAnPkrhd/P0t93NiKZZop5s1A958\n0771MYWUptpcR4uOFHDN0mlFRkaiuLgYVVVVCA8Px4MPPoiPP/643oXPnj0bHTt2REREBF5//XVU\nVFRYdH3jxryA25BWmYwhtYfAXtwKTqbMEXBHj65/m7m7A0eO1C8PawgM1N6TYAtzawDo3RtYvbr+\n+ehiTINrrYD7yCPAhx8aTyO1gs80uMapzx7cO41HHzXfeZcjMKXBDQiwX4ggwDrrnoa4B1cXU06m\nnCHgNkRvtJZgiz2uptAVcHXHA13E84YhQyzfIqCL2ERZqTS8sCQO9+IMDa45YeQsEXBnzZK25hG4\nEwVcKQ3uTz/x4RDtiSXacldX5wu49cGRcpBZAu7169fh4+ODn3/+GY8++iguXLiAP/74o96FDx06\nFLGxsTh9+jTKysqwadMmi64X9pI09IFXwBka3IYs/JvyomxL7r/f/mXoMn++dqgnW2lwXVzq56DI\nEPbQ4JqDrgZXqbx9NbhKJb8iXF/efhsQGdZocPb+nIbIlClA+/bOrkUdwu8jPNuurtr7Iv38gJUr\n+a0w9kDog251L8q6iDVxUhpce3pRvlX24FqKLfa4mkJXwA0MBPbvN14nwcNvq1ZA3771K19Xg2tM\nwBUsspyhwTWnTEvmmBMn6oeLE3M7mChbipSA6+1t/+1tDa2t7UmDMVEW8PX1RVJSEtatW4fPPvsM\nHMehvLy83oUPGTJE83nYsGHYsWMHJk+ebPb1t5qAayj4sT24XUyUbyeCgoAZM5xdC8PYwouyNTz9\nNK+tFbidvShPnWqbdjQ0qbsVNG13OrpOpqZP1zfHnDHDfn3FnarBbdzYsPlpfcoU/9XlVhdwHaXB\nFS9wchxw992G0wtm07ZyA6Mr4BqysHF3rxuPHDmPq6jgBVxzniFbKlEUiob13DZvDvTrZ98y3Nwc\nG8ZGoKFpy+1JgxNw58+fj0mTJqFv377o2rUrEhMT0VYI+mQjvv32W0yZMsWia241Afejj+qC09ub\n28XJ1O2EmxvwzjvOroVhjJnTCfui7EHr1trfBQ1uVdXtp8E1ZhJmC5gGt+Gja6Jsj9i/xrDGbPZ2\nEHBHjACGDbNtmbeakylLUSrt3wc3aWJZJAwfH2D5ctuVr+tF2ZAGd+ZMfkvcqlWO9aIsmCjbWoNr\nioYmdDVrBqxZY98y7GHlYQ5Mg2sfzCpmyJAhWtrWsLAw/Pbbb2YVMGTIEOTk5OgdX7x4sSb80KJF\ni+Dt7Y2xY8cazGfhwoWaz5GRkYiMjISfH7/acqs8GGFhjiuLaXAZliKY4Ui9T8uWOW5xxtUVKC62\nXxzQ25lbQRC509EVcB2NEKvaknHzscf48CkNGVMmyjIZM1G2lJkz7f+cLlpkWXq5HHj5ZduVb66J\ncng4kJbGf3akBlcwUXa0BvdOEroEmIBrf6T24B4+fBiHDx+2eVlmNWlycjKWLFmCU6dO4ezZs4iJ\nicGOHTswb948k9fuN7aZAsCPP/6Iv/76CwcPHjSaTizgCgjOOdiETp9bYQ8uE3AbFoJpjtRAqqtl\ntSeurkB5ufle+Rh1MCdTDR9nC7hCHSwRusTxZhsqpsIE2atM8V9dbnUBt2VL+5fh6PB9uphroiyc\nBxy7B9dSDa6t5sMNTYPrCNzdnSNP3EltLRW2T1BaCrz33ns2KcusrmXhwoUabSsAdOnSBT///HO9\nC9+7dy+WLl2KHTt2wM3K0b5xYybgSnEreFF2pJMphnk0hH03wrNr6/1ydwLiUCmMhomukylnsHbt\n7beAJBUmyN59mbAoeLsKuHcC5npRBhwv4Io1uHe6ibIjcFbMdEvCBN3qbNoE3HOPY8oyS8C9evUq\nhg8frvmuVquhtMFTMG3aNJSWlmLw4MHo3r07XnnlFYvzYAKuNEyDy7CGhtDRCl3L9987tx63IkyD\n2/DRdTLlDJ54wvmaM1sj1uC6utZ52rU3xrYF3Ophgu4ExFpPd3d+T7AhnKHBra4GiMx7X5mJcv1g\nJsr2JyzMcWOPWU3at29fnDlzBgBQVVWFr7/+GsNs4K0hPj6+3nkwAVeaW0GDywTchkdDWLXlOH5A\nZ1gO0+A2fBqCifLtiFhQ4Thei+uIvsyY0xSZzDleWRnmI35u1q7lwxQZwhka3MpK88u7nb0oOwJn\nmijfKQKuIzFLjn799dfx1VdfIScnB6GhoYiNjcX06dPtXTezaNSIPRhSyOUN3wEXM1FueDRufPuF\n5rmT6NDBeIgNhvNhAq590BU0HSngGpsU34mCwq2E2ES5RQvjcyZrYkjXB4WCF3DNLe/BB6Xjo1tD\nQ1jsdjQeHs7T4N5pbe0IzBJ/goOD8f3336OmpkZjnvzrr7/iySeftHf9TBIYqB1DjcHDccCxYw3b\nXFEm4/8xAbfhcOUK0wDeyoh2kjAaKEzAtQ9eXtpzAU9PxyzwNm1a59RKCibgNmws0XoaixVvDyzV\n4A4aZLuy70StYufOwLp1ji/3TmxrR2C0Saurq7Fv3z78/fffuPvuuzF+/Hjs3LkTb731Ftq0adMg\nBNw5c1goEUP06ePsGphGoWATvYYEE24ZDPvSEJxM3Y48/jgf61bAx8cxC7yxscYFWCbgNmws8Tws\nWMU5cg+uJRpcW3InahXlcuDeex1f7t1389YDDNti9DWdM2cOEhMTMWDAAKxfvx4//fQTCgoKsHHj\nRnTv3t1RdTSKt7eza8CoD3I50+AyGIw7h4bgZOp2RKnUFmg3b3ZM7HlTQgATcBs2YhNlczC259rW\nWKrBtSVt2hh3uMWwHUuWOLsGtydGX5vDhw8jOjoaCoUCkydPRosWLZCZmQkfHx9H1Y9xm6NQsIke\ng8G4c2ACrmNo29bZNeBhAm7DxtLYsY4UcAUNrjMEXBtEAmUwnIpRJ1NEBMXNN8vX1xdt2rRhwi3D\npjABl8Fg3Em4uPCT6tstTA9DmjvR1PNWwteXN2c3F2docNnzw2BYjtHXNCYmBt4iG+CKigrNd47j\nUFxcbN/aMW57Bg4E/P2dXQsGg8FwDC4ubP/tnQTT4DZsnnsOqK01P72Li+O9KDMHRAyG5Rh9bVQq\nlaPqwbhD2brV2TVgMBgMx9GoEfDGG86uBcNRPPYY28vYkLHUaZQzNLhsQYzBsBy2LsRgMBgMhoNQ\nKoGFC51dC4aj+OwzZ9eAYUucsQfXWBgqBoMhDdsFxGAwGAwGg8FgmMDRGtyKCmaizGBYg1MF3Pnz\n56Nbt26aGLsFBQXOrA6DwWAwGAwGgyGJozW4VVVsDzeDYQ1OFXDfeustnD9/HufOnUPbtm3xGbPl\nYTAYDAaDwWA0QCZOBFq3dkxZQvgipsFlMCzHqa+N4JG5trYWZWVl8PX1dWZ1GAwGg8FgMBgMSWbN\nclxZgmDLNLgMhuU4fQ/uO++8g8DAQBw/fhxvvvmms6vDYDAYDAaDwWA4leBg/m9mpnPrwWDcinBE\nRPYsYMiQIcjJydE7vnjxYowaNQoAUF5ejnfeeQcAsGLFCv1KchwWLFig+R4ZGYnIyEj7VJjBYDAY\nDAaDwXAy3bsD584B9p2pMxjO4/Dhwzh8+LDm+3vvvQdbiKZ2F3DN5cKFC3jhhRdw6tQpvXMcx9nk\nZhkMBoPBYDAYjFuBM2eAH34AVq1ydk0YDMdgK5nPqXtw4+Pj0bZtW9TW1uLnn3/GY4895szqMBgM\nBoPBYDAYDYIePfh/DAbDMpy6B3fu3Lno0qULevfujdraWrzwwgvOrA6DwWAwGAwGg8FgMG5hGoyJ\nsjGYiTKDwWAwGAwGg8Fg3L7YSuZzuhdlBoPBYDAYDAaDwWAwbAETcBkMBoPBYDAYDAaDcVvABFwG\ng8FgMBgMBoPBYNwWMAGXwWAwGAwGg8FgMBi3BUzAZTAYDAaDwWAwGAzGbQETcBkMBoPBYDAYDAaD\ncVvABFwGg8FgMBgMBoPBYNwWMAGXwWAwGAwGg8FgMBi3BUzAZTAYDAaDwWAwGAzGbYHTBdzly5dD\nJpOhsLDQ2VVhMBg6HD582NlVYDDuSNi7x2A4D/b+MRi3Nk4VcNPT07F//360atXKmdVgMBgGYIM8\ng+Ec2LvHYDgP9v4xGLc2ThVwZ86ciSVLljizCgwGg8FgMBgMBoPBuE1wmoC7fft2tGjRAl27dnVW\nFRgMBoPBYDAYDAaDcRvBERHZK/MhQ4YgJydH7/iHH36IxYsXY9++ffDx8UHr1q1x+vRpNGrUSLqS\nHGevKjIYDAaDwWAwGAwGowFgC9HUrgKuIS5evIhBgwbBw8MDAJCRkYHg4GBER0ejadOm+pXkOJvc\nLIPBsIyFCxdi4cKFzq4Gg3HHwd49BsN5sPePwXAOtpL5FDaoi8V07twZ165d03xv3bo1zpw5g4CA\nAGdUh8FgMBgMBoPBYDAYtwFODxMEMBNkBoPBYDAYDAaDwWDUH6docHVJSkpydhUYDIYEkZGRzq4C\ng3FHwt49BsN5sPePwbi1ccoeXEthe3AZDAaDwWAwbl9++OEHPPPMM3B1dXV2VRgMhpOwlczHBFwG\ng8FgMBgMhtMgInh5eSE6OhqdOnVydnUYDJMEBATg+vXrzq7GLYu/vz8KCwv1jttK5msQe3AZDAaD\nwWAwpMjKysKOHTucXQ27ER0dfccv4ufm5qK8vBx5eXnOrgqDYRbXr18HEbF/Vv6z9+LAbSvgJiYm\nYunSpc6uRoNmx44dd/ygaozY2Fjk5+c7uxoMBoNxR3PkyBGsWLHC2dWwC2q1Gn379sXly5edXRWn\nkpycDABaY+769evxv//9z1lVYjAYtzC3nIBbXV2Nb775xqRgdvbsWWzZssXm5WdkZGiVvW3bNrz7\n7rs2L8feXLp0CaNHj0ZOTo6zq+IQ1Go1jhw5YtE17777Lt5//3071YjBYDAY5pCXl4eCggKb5nnw\n4EGUlJTYNE9ryM/PR01NjcXj0+2G4GxUrMGNiYm54wX/W4GamhqcOHHC2dUAABQXFyMhIcHZ1WA0\nAG45Affy5ct4+eWXcfToUYNpKioqUFBQgIKCAkRFReHYsWMm8y0qKkJtba3JdP3798elS5c039es\nWYMDBw7opcvOzkavXr2gVqu1jsfHx5tVjr1Zu3YtAGjFIzZGcnIydu/ebc8q2ZW4uDg8/vjjFl2T\nkZGB9evXo7y83E61YjAYjIZLWlqas6sAwD4C7uzZs/HXX39Jnvv1119x9uxZm5ZniKysLADA4cOH\nbZ73xo0b8d9//9k8X3uQlJQEjuO0BNyUlJQ7ZhH+VubIkSMYPnw4ampqLL62trYW48aNQ1lZmU3q\n8ssvv2DKlClmpT169CjS0tIQERGB+Ph4m5TPaDjccgJufHw83N3dsXz5csnzW7duRYsWLZCfn4/C\nwkJs27YNmzdvxsWLF1FaWqpJp1KpEBcXp9HGTpkyBT/88AMqKyuxbNkyPcEUAKqqqpCSkoLc3FwA\n/KB77NgxXLlyRU+jHBsbi6ioKL1V2XHjxhkcVPft24e4uDitY7m5uZJ7j4Q6WMu2bdvQsmVLsweP\n1atX4/PPP9d8v3jxInbs2CHZTsYoKyvDF198obVIYAy1Wo2QkBAIzam1AAAgAElEQVQUFxfrnaus\nrDTbxLqwsBAFBQWoqKgwu64ZGRlo3LixXSYeDAaD0ZBJSkpC7969nV0NALyWs6CgQK+/LysrQ1hY\nGFQqlcV55uXl4cKFC5Ln1q9fj+3bt1tVVylmzJiBoUOHSp7LzMxEeHg4Dh06hBMnTtTLFFtXwPjh\nhx9w8OBBi/OJjo7GJ598YnU9rCEpKQnh4eFaJsopKSlmL8JLYY3AdbuRnZ2NqVOnGjxfXV2NX3/9\nVevY3r17kZ6ebjTfN954A+fPnwfAPy/FxcU4cuQIbty4YVH9rly5gk2bNmHz5s165yZPnowzZ84Y\nvX7WrFlISUnRfE9MTMSpU6dQWVmplS4nJwc9evTQOrZs2TL89ttvuHjxIqKiogyW8fjjj5usR0OG\niODt7a3VTg2Fb7/91m5533IC7tWrV/Hkk0/i6NGjeoPd+fPn8fLLL6OsrAxJSUkoKipCVlYWrl27\nhhkzZmD79u1QqVR44403cPjwYYSHh6Njx474559/kJCQgIMHD+K1117D7NmzJfdeJicng4g0K8nH\njh3DAw88ACJCfn4+tm7dirS0NMTExCAhIQFubm5Yt26dVh55eXk4d+6c5L0tWbJEb9/wqlWrMHny\nZK0BnIjQsWNHq1ecSkpKcO3aNfTr189sAXfnzp3Izs7WfB8/fjyeeuopnDp1yqKyP/nkE8yePVuv\nQzXE9evXkZqaKmm+NWrUKOzduxcAb5by9ddfG8xH8NSWkZEBANi9ezdOnjyplaaqqkpzrLa2Fnl5\neRg4cCBb2WMwGHccmZmZyMvLs8pPwy+//GLU8mXp0qW4ePEiAL7f3bRpE3bu3GnQuikvLw9VVVV6\neWZnZyMpKcmgSeKyZcv0JroANGP2hQsXQER65pVpaWma+tWX6upqfPnll/j777+1FoRPnDiB1NRU\nZGVloVevXhg6dCgeeOABrFq1CrGxsRrhAQCGDx9uUnDYtm0bwsLCtI5dvXpVM+bp8umnn2L+/PmS\n5/bv349PPvnEoIBYWlpq8wl/cnIyevbsKanBFZ5BIsIXX3xh1oJGVFSUwUUFW7Nt2zZ8++23uHDh\ngkHHOVu2bJEU4gB+Id9eln1nzpzB+vXrtZ69qVOnIjo6GgBvFakrAM+aNQuHDh3CE088ofUcitm5\nc6fGqi86Ohrt2rXD6NGj8eSTT2rSqNVqdOjQweAzKNSvefPmWLNmjd65U6dOaS3QXLhwAXPmzNFK\ns3nzZi0hKTExEVVVVVoC6yOPPIK9e/fiv//+01J0ZWZm4uTJk6ipqTFqsXHq1Cm89957Bs83NEJC\nQuDh4QFvb294e3vD19cX8fHxCAkJAQBMnDjR4LvvaKZNm4aSkhLU1NTY/B2wm4A7adIkNGvWDF26\ndDGYZu7cuQgNDUWPHj1w5coVs/KNj49H79694e7urrXCVFVVhTFjxuCLL75Aq1atNCuzV65cwbVr\n15CVlYWUlBRcvnwZK1euxPHjx/H888/j+eefx5dffonU1FTNC9uuXTvJF1IYRAUBNyEhAe3bt0eH\nDh0QFxeHJUuW4NChQ+jTpw/++OMPvPrqq9izZw/+/fdfTR4FBQWSHQYR4fz589i6datGy6hWq7Fh\nwwYQERYuXIi///5bk0dhYaHVe3ZiY2PRsWNHBAcHa62O5uXlSa6WpqamIjk5WWNKBfADz9ixYzV1\nMpeLFy9i6NCheppqcVniiYUw2EmtQl+4cEEj4P7zzz9aL2xeXp5WR6Yr4G7cuBGffvopAL6dv//+\nexw6dAjPPfccAH61r1GjRvVaSGAwGIxblZycHFRXV1tlOjhjxgyjE8YVK1Zg5MiRqKiowN69ezFv\n3jzMmzdPb9JVUlKCKVOmaMYBXTNl4bihSfiCBQskBdWysjJUVlbiwoULSExMRGRkpJZ1jy0F3OvX\nryMgIAA+Pj5a9X/rrbfw+++/IysrC82bN8enn36K9957D1lZWVi8eLFm0p6Xl4c9e/bg6tWrUKlU\nWvMewYqptrYWU6ZMwbVr13D+/Hls2rQJ5eXlSE9PR3p6OogIc+fO1RK+Lly4oLXtqKioCH369ME9\n99yD2NhYFBUVGRzfN2/ejL59+1q0wP2///1Paw6hS1JSEu677z6NcqGkpATl5eWQyWSavdLnzp3D\n9OnTkZOTg6KiIknrKiLCyZMnER8fj6tXr2qOp6ena7V/eno6pk+fbrTO5lqobdmyBdu3b8e0adPw\n1VdfYdiwYZpnMyUlBRs2bMDXX3+NqVOn4ptvvkFRUZHmWmEB5KWXXjKrLFMIwoJAfHw8KisrkZqa\nCoCfC61duxaxsbEAoGlLoU7Z2dm4dOkSCgsLsXv3bkycOFFvQUGtViMtLQ3Hjx8HAPz7779Yvnw5\nJkyYgOjoaM3Whri4OMTFxRn1gH769GnMmDFDU6aYnJwcjSAO8Huy//jjDwC8dl6lUiE3Nxc//vij\npi5JSUkYOHCg5tmoqqrCjh07sGrVKs15gczMTBw5cgQymUyrv7p06RL27NkDoG4x7OjRoxolT0N3\nzspxHHbu3ImSkhKUlJSguLgYgYGBzq6WJD4+Pti1axfefvttg5a51mI3Aff555/XCB9SREdH49ix\nYzh9+jTefPNNvPnmm2blGx8fj3bt2qFr165a5kWrVq1C+/bt8dRTTyEoKEjz8goCbmZmJlJSUjSr\njvv27UNYWBgiIyMRFRWFmpoaNG3aFLNmzULbtm21BFyVSoXa2lpJAbdNmzZo3749rly5gsTERJw/\nfx6lpaXYv38/evbsiSVLluCNN94AwHdkJSUlkhrca9eugYgQERGB/fv3A+AFUblcjqlTp+KDDz7Q\n7JsVXlCpvcWZmZlaK72CO26xM42LFy+ic+fOCAwM1NLgLliwALNnz9bKr6ioCFFRURg8eDCKiopQ\nXV2N4uJiVFdXY8yYMWYLuESEsrIyXLlyBY888gji4uIwZ84cPQ3yypUr8dBDD2lMkvPz8+Hl5YVf\nfvlFI5ACwI0bN3Dt2jWN4Hv58mUUFBQgLS0NaWlpmD59OkaOHKnp6IWOU5gcpKSkYM+ePaioqMD+\n/fsxZcoU7Nq1C6mpqYiJicH69evRokULtG3b1qTDAqnV5L///lvTEQPACy+8oDWoCaSkpNh8bxmD\nwWDUF6FvzsrKkhRMiAi//fabxvutQFlZGXJzcw3u3y0vL0dhYSF8fHwQGxuL6OhoTJgwAR988IGe\nUHz69Gl8//33SExMhFKptEjAraysRHl5ueTieX5+PoKCgpCRkYHY2FjU1tbi9OnTAPixpbq6Gqmp\nqXra3/Lyckmrp5ycHMyfPx+VlZWIjY3FoEGDsHHjRs2Y4u/vj6ZNm2qE+dLSUkRHRyM9PV0j4DZr\n1gxz585F27Zt8fvvv2vaT7i3lJQUHDp0SEsr+eyzz+Kjjz5CUlIS/P390a5dO3z55Zf46KOPkJCQ\nAI7jkJGRgaioKHz88cd47bXXNNcmJyfj7NmzmrFx8eLFCAsLQ3Z2Nvbv349HH31UbzvVihUr8Oab\nb+LixYvo378/Ro0ahW3btmnOE5HBLVhr1qzRs5oSqK6uRk5ODiIiIjS/aWpqKkJCQhAUFKRp859+\n+gkAv0Xrl19+wdy5c/Xy2rBhA/r06YMrV64gOztbMwcYO3YsQkJCNM/D+fPn8eOPPxoUVqKiotCj\nRw+zhJl//vkHMTExOHv2LJYvX459+/ZptmH99NNPeO211xAdHY358+djyZIl2LlzJwBeU966dWus\nWbPG7AWVNWvWGN029eqrr2LDhg0A+C17gjJBuO9t27ahtrYWubm5GDt2rGYRQBCADx06BKBugcvV\n1VVrLgPw81W5XI6TJ08iISEBKpUKI0aMwNdff43HHnsMrVu3xlNPPYUTJ06gcePGeub+e/fuxalT\np1BaWopjx46hZ8+e6NmzJz766CP069cPP//8M6qqqlBYWIjo6GgkJCTglVdeQW5uLpKTk6FSqTB1\n6lSsWLEC7u7ueO211zB27Fjs3bsXiYmJmDRpkqaNUlNTQUQ4c+YMZDKZZj5XU1OD3Nxc5OXloV+/\nfjh79qzmt169ejXmzZsHgLcOVCqViIiIQExMDObMmeMwywBbIpPJkJiYiDVr1mDTpk1YsmQJvL29\nMXr0aKfWa9GiRfjtt99w5MgRg9at1mI3Abdfv37w9/c3eD4qKgpjxoxBQEAAnn76abM85dXW1iIu\nLg5t27ZF165dERMTA4B/YZcuXaqR/oOCglBeXg65XI7S0lKkpqaipKQEKSkpOH36NGQyGaKiohAa\nGooOHTogISEBrVq1wl9//YXp06cjODgYmZmZOHjwILp06aJ58RISEhAcHKwZEAQBNzw8HMeOHUNh\nYaHG1EmtVqNNmzYYN24cMjIyMHPmTOzZswcBAQHIzMzU0i4C/MpU165dMWDAAM0gkJSUhI4dO+LN\nN9/EunXrNB1gUlISOnfurOVoa82aNRg5ciR69uyJkJAQHDx4EHl5eQgNDcWvv/6KAQMGgIjw/fff\nY/Xq1ejcuTOaNWumNVj/9ddf2LVrF2pra1FcXIzDhw8jMDAQ//zzD7p164ZmzZrh33//xZkzZ9Cq\nVSv0799fcq+DFFu3bkWfPn2QnJyMkSNH4vLly1i6dKlmECgtLcXBgwcRHR0NT09PjbmKYCa8cOFC\nrFy5UpNffHw8unTpgszMTGRlZWmen9mzZ+Pll1/Gf//9h7KyMvTv3x+5ubkoLCyETCbD/v37sWXL\nFqSkpCA4OBg7duzA559/Dg8PD/zyyy+oqanBxx9/jHnz5iE4ONikgEtE6N69u94+gr179+LPP//U\nPAvr1q3TmMMJK9REhMceewzh4eHM6x+DwWhQCGPDt99+i1dffVXvvGDF8/DDD2sdFybKhvbwpaSk\noFWrVujYsSOuXr2K6Oho3HfffWjXrp2etYywIJ2ZmYk2bdpICriNGjXSTIzWr1+Pnj17agluUgJu\nXl4egoKC0L59e40W8+TJk9iyZQuWL1+OkJAQhIWF6V27evVqTJ48GYsWLUJISAimTp2KiooKjBkz\nBps3b8aUKVOwdu1aFBQUYP369Rg/fjz27NkDPz8/NGvWDH/++SdWr16N48ePa7SxgoAr0KlTJ1RU\nVGjaUSzgXrp0CVeuXNEIgVFRUVi6dCmOHz+O8PBwhISEYPfu3bh06RLOnTuHHj16ICMjA5s2bcLb\nb7+NrVu34sKFC5g/fz5SUlIQFhaGI0eOoLy8HKtXr8bHH3+MyMhI5OfnY/jw4VoL/ampqfjwww/x\nww8/4K+//sLrr7+ORYsWaSkyUlJS8OCDD2qOlZSUYMSIEfjqq69QUFCgUTzokpqaiuDgYAQFBWnu\nLS4uDqGhoVoL8du3b0fz5s2Rm5uLQ4cOITMzUysftVqNt99+G35+fpptbFlZWUhPT0d8fDxGjhyp\nmaOlp6ejpKREs5Bw6dIlrUXob775BufOncOnn36KBQsWaJXzxBNPaBQJ2dnZKCkpQWFhIby8vKBW\nq6FUKpGYmAiAd8Akl8vRpUsXzJo1Cy+88ALOnj2LsrIyvPvuu/Dy8kJaWprWsz9hwgSsXr1aI3Ad\nPXpUU4dly5ZhzJgxWgtIKpVKo53PyMjApUuXkJaWhrFjx2Lr1q1o27YtLl++DCLCt99+i/79+yM9\nPR1bt27VzCOFhaq9e/dq5sUBAQF46623MH/+fCxatEgzL0tNTUWnTp0QFBSEt956CyNHjgTHcQCA\n5cuXIykpCbm5uZg9ezZmzpyJ48ePa80TV61ahQULFqBnz54ICwvDfffdh759+2LZsmXo2bMnpk2b\nhkuXLiEoKAilpaXo06cPVq9ejfT0dFRXVyMjIwMHDhzAsWPHNAtDGzduxIQJEyCTyTBq1Cj8+++/\nqKysRFJSEnx8fADwTmKFuVZ2drbm+L333gsPDw/NHtUDBw7g/PnzyMnJQV5eHpo0aYLOnTtj7dq1\n2Lx5M/755x+9OXxDQ2phhuM4vPjiixg3bhzefvttlJSU2NTXgDWMGTMG+/btw/nz5w32D9bCkR11\n7SkpKRg1apSkI4fx48dj/PjxmpWQXr16YePGjXp7SAD+R7nhCoAAAnDzPQIR/5kIAKdzEWn9uZmR\nTr7aSfm89C7SyxLgAA4cSJxQKE9UhvDCSzYxJ/xH2nWAcF91+XM3K6YmAicTbvhmOplEGRwHIuLz\nINKUInzXq9vNBCTcm5BOK0u+PuI7kXEcX6ebeWl+FwBqNX+87rciodqQyTio1XxeMhmnKV+tvlm3\nm/fIyWT8dSDIOBlUajXkMhnUuBkomuPbm8DxxwCob5ZPHKBwUaBWrYYa/IOiIjXUBEAGqAmQK11Q\nVVsDtYwD56JAZU0N1Byg5gAVAIWrEm5enii4fh1+TRoDchk4AGVl5aiqqoKnpycUcjkKCwtBABo1\naoTikhL4+vqguLgERGr4+/tDrVYjNzcPvr4+UCgUKLpxA42bNEFNdQ2Kiorg6uoKuVwGLy8v3cdJ\n55nRfoCl0ui9BpzuERMXSJwkI2k075Cpckxx83qVjEOtQgaVQsb/lfPfaxUykEIBUioBFxdAqYTK\nww0qLw+ovDxBHh4gLy+Qtxfg7Q1l42bw9vCDj6sPfFx94K301nx2d3GvX10ZDAdTo6rBjaobuFF5\ng/9bUYSywhxUF+QC16+Du14EKi0BlVcAleWgigpwlZXgKqugqKyBoroG8ppaQKUGp1ZDVqsCp1aD\nq1WjprIS6qpquLu4oKyoGF7u7nCVK1BWUorqyiooXRQgAnxvTga5mx15bW0tysvKoFarEeDrp9GU\nccRrcV2VSni4ufNjitD5E6CqqUF1dTXkcjkAoKq6Gl5eXuA4DiUlJfDx8oJMTZCpCdWVVSCVChwB\nCpkMcnBQcDLIb5ZDKhU4NYHUBMXN8QJqgozj+PFJpYaMA2ScDByBHzSJIEPdOMoZGp5v/uU0E4O6\ncZZD3ejN3bwvYS6i2xPWs2fURzzfMTL30Z/giNLrptFJIs5XNxvhi+48THPqZkKurom1yzDQIOL5\nHKdbV3FZNyslLkcvH/Et6raV6K/UfFJ8D4bqbfCehf9E7aubVjK9gfKlytR6xkT3JtyLZBuJ0mvN\nmyXuT/c8J1GG8N3Q/UnW2UDZku0qmr9L/SYG89BtB6m66/z+kEgvbkO9+xDVy7eqYZorh4SEoKCg\nAAqFAgAQGRmJ7du3IyEhAaGhoXj++efRokULp4fBFGQ7cROemTAEg77bb5N2VdQ7BysRTGfFcIbe\nEgBPtWiMsvIyhIS0RsRdTdHKW4HoqGgMe3AY9u/bj4ju3dGoUSMAwJW4K7gQcxFBgc2QX5APF4UL\n3NxcUVx0A3IXBbp06Yr//vsPo0aMgFKpxNGjR+Ht4427u3UDCEhLTUN+QR6qa2rQsmVL+Pv54+iR\nI1CpVOjSuTOyc3JwT48e2LN3D0YMHw61mrBnz254eniitLQMIa3uQkCjAH5V9uYtZmZl4srly/B0\n94CrmysCmwVBLudwJS4OtTU18PbxRssWLdGkSRMcOnQIgwcOQtzVOLi7uWk2hh87ehTdIyKQkpIC\nX19fFOTno1nTZggKCsKxY8cQ0SMCnu785P1U1Ck0adwUSUnJkHFAgL8/ZHIZrhdeR/8B/SHjOJSW\nlSEqKhq+Pt7w9fYGx8khk3NQ1dYiKzsb995zD7JzcpCelo577+2B5KQkFBTwq+JBgYFo264dUpKS\nUHi9EDXVNWgW2AwZ6RlwUSjQIjgYWTk5CGnVCgGNAvBvdDT8/P2gVqnRKbwTLl64gNLSUrRqdReC\ngoKQlJSMazk5cHN3R/v27XDlyhVEdI9AZkY6VCoV7rqrFc6ePYsOHTogOTER5SWlCA4KRCMfXyQm\nJECmJvj6eKHkejFc5DK4urigVfNgQK1CZlo6XORyKGVKVFdUQgbAlZOhqZ8Pqm4Uw0PuAnmtCi41\ngCs4KGoJruCgLKmBS24ROtUArln5qJEDZUqgQgFUuHCoKLuBalc5fOQKlEKNfFUlMqkKxFWh2NcV\nN4gQOXIorldU4+eNm9G7U2cENm2K33//A9PHPIGoqCgoXV0QFBSEkyf/wd13d0OHDh3hIpdLzFlI\n94DExEk3DennIx4UDK3kiMuTLEcnM4lydGvEGemsxGW5qFRQ1qogr6kFV6OCrLYWsppacDW14Gpq\nQNXVQGUVcKMasvJCKMoyoSivhEt5JZTlVVBWVMO1vApu5dUo9XTBdW8F8rxkuOIJZLurkOxZjYwA\nBYpbNEF1y+bwbNYCgd5BCPYORlhAGML8wxAWEAY/Nz+D9WUwbElFTQWSrichoTABCYUJKMhJAhIS\n4JqSAeW1PHjm3UCTohq0LJOjeQkQWk7wqlChWilHhacryr1cUenlhhpPN6jdXEGuSqjd3EBubiB3\nP6h9XaF2cwUUCsBFAShcQByHk//+i36DB+D0uXNISk2Fl58f0ioIwcEt8ciYx/HL+vVISk6Gq8IV\nrm7umDVzlmZBFRyH2JgYnD9/HnFXr2LeGzOx+dctcPdwR3BwMA7v24cWvl6QlZdgeL++kJWWAMXF\ncCkpRU1uAZQkh6uag7y8Cv4qwKu8DG7VBM9qAHmlKFcAVS5AFQfUKjhUgqCScyhVqaBSAq6+3lC5\nyFFUUQ5yUUDuqsT14mJwLgqoOQ4qAL4BjZCelQmScfD290fz4JZIzUpHYdENBLdsicKSG/Dw9EJS\nSirC2oSBQAgMDMLp06fhFxCA5sHBuHDxIvr07cvPTTgOf/99GKqb+zKHDBmKs+fOwdXdHdeuXcMD\nAwdi3/59qKiqxJAhQxEVHY2iGzfg7esDLy8vKJVKJCUlQ+GiAKkJ/Qf0x4kTJ6Cq5c07FS78dKy0\npASlpaWIOhWFh4Y/hIMHDyG0dWvkF+SjVqUCOA4KuRxBgUFIz0hHWGgYok5F49777kFVdTVizsWg\nWWBTXMvJxaAhg3DyxEm4u7th0KBBvKMrIhTkF8Ldwx2DBw/C3r170axpUzQLbIawNm1QXVmFa9eu\nwT8gAEeOHEF4eDjKy8txo6gITZs2AyfjEBMTg0cfexQV5RXYt38fOE4Od3dXtGoVguvXryM9PR2t\nWrWCh4cHAgODcGD/AXj7eKG2tgZqNSEgwB+lpWUoLy/HqIdHISMtA4XXC3Hvvffh9z9+x+BBg7Fv\n/z6MHDkCFy9cRM61a2gdEoL0jAw0bdIENbU1uHbtGmprVQgNbQ0ZZOjStSsSExKQX1AApdIFcXHx\n8PL2QFBQENLS0vFA5AMoLy/D1firiBzwAE5F/YPs7Bx06NAe5WXlSEtPR2hoa7Rp0wYHDhzAoEGD\nbzoii4G7mzvCwztBLpfD3cMNu3ftRYcO7ZGQmAC5XI6BAx/A1bir8PD0QKfwzkhJSUZWVjbat2+H\nf//9Fw8++JDmfa+sqsQfv29HcIvm6Ne3n+b4X/v+wj333IPU1FS4yBW4K+Qu7N9/AI8//hguXbqE\n+KvxuOeee5CUlIRe99+P3bt34f5evaF0dcHRo0cR2CwISqULUlJSoHR1hZ+vL9w9PJCQEI9Bgwbj\nxPET8PD0QOuQ1vDw9MDxY8ehUvHPsn+AH3x8vOHl4YVrebkI7xiOkydPwM/fH4MHDdbU8cDBAwjv\n2BE3im+gsrIK3bp1xdmzZ3F3t7shl0uJE7w0Gf1vFLIys1BZWY2IiO6IvRSLzp07oVFAIwQENNKk\nVqlUkMvlSEtLRfS//6JJkyYY0H8AX/aB/SguLgbHcfD28UF5WRnKyyvRomVz9O3Dt6OaVKisqIKH\nhwfOnjsLV6USVdXVcHNzRccO4cjOycalS7FQKFyQnZWDFi2bo6ysHJ07d0JhfuHNtvBHUnIy2oSF\n4fz58+jSpYvGw/eBA4cwILI/8nPzkJCUCMRXG+3bufdss7xFCywT9jiOw/bt2zFw4EDNMZlMppem\nIXB2+pP46/QFXMjifQu1ve5iu8zJjiQnJ1Pnzp0lz33++ef06aefar6HhoYazAcAhYSEUG5uruZY\nSUkJubu7U21tLTVv3pxSU1M15zZs2EAymYymTZtGbdu2pYiICHrqqacoMDCQXn31VTp9+jT5+PiQ\nWq0mIqI33nhDqy5//fUXDRo0iFq1akXx8fGkVqvJ39+fIiIi6OjRo9S7d286fvw4derUSXNNr169\n6KWXXiIA9NFHH+ndw9GjRwkAjR49mubOnUuLFi2iWbNm0QcffEDh4eGkVCqpuLiYiEhTzujRo+m3\n337T5PHII4/Q5s2bKTIykvbv308rVqygqVOnUm5uLvn6+pJKpdKkffjhh2no0KGEmwrNuLg4cnV1\npX79+mnSFBYWko+PD8XFxWndu7e3N/Xq1YuIiP78809SKpVUXV1NL7/8MgUFBZGHhwd9+OGHmvQA\nKDQ0lFxcXOjy5ctUXV1NRETnz58nX19fcnd3pxdeeIGSk5PpxIkTRESUmJhIc+bMofnz52va75NP\nPqFVq1ZRTU0NeXh40OTJk2n06NG0fPlyIiIaPHgw/fLLL+Tl5UXjx4+n3bt3a56l+++/n1avXk1N\nmjShSZMm0ZQpUzT3NGzYMFIoFLRhwwbasGEDRUREUGRkpNbvc+3aNerduzctWLCAvL29tdpyxowZ\n1K5tW/JVyClIAYr6dR0l7vqZRgW70aS2vrT95UdpRe8Q+ryDD/3cwYe2N5fRiaYyuuoLKnKXUZUc\nlOILOtFCRtu7eNDH7UHfjO1C04a0ouWLJlLUlSOk9FSSn58fDR8+XPNcMupBbS1RTg5RTAzRgQNE\nmzYRrVhB6pkzqXr0KKro0pFqvD2pyseTMruF0slRd9M3U7rTc2+2oWYLvajRJ40o8sdIemPvG7Tu\n3DqKyYmhGlWNs++KcQujVqsp5XoKbbu0jeYdmkcPr3uQHprZjF4eraCf+/rRhQ4BdMPfg6rclVTQ\noRVde7Af5b84nso+WEDq9euJDh0iunyZKC+P6GYfaynp6QkjmvcAACAASURBVOlUU1NDGRkZBIDy\n8/Np+vTpdNddd9H9999PmzZtooCAAKqurqbu3btTREQEAaCAgADas2cPHTt2jNQqFeUknKeVLz9O\nyx7sTB919KD9D4TS7pYyimnMUYEbqEIOSvUGnW4M+ru1K21p40q7BrejI1OG0KdD29PnT/Wh3xe+\nQH2bgj586QnKPHeMitMTadSwobR48WLy8fEhd3d36tGjB/3555/Utm1b+t///kcymYwaNWpEffr0\nob///pueffZZ+vHHHykjI4MCAwOpT58+9PXXX1ObNm1o69at9NBDD1FYWBh17dqV3n//fXrwwQcJ\nAE2YMIFmzJhBu3fvJgB09OhRTRt98MEH9NVXX5FarabevXvTxIkTSaVS0ZEjR6hp06b0wgsv0JNP\nPklERLNmzaIHHniAhg4dSkREY8eOJV9fX1Kr1XTu3DmaNWsWeXt700svvUSLFi0iALRkyRL67rvv\nqLq6mjiOo65du0r+Vh06dKDnn3+eRowYQRcuXKCOHTtSs2bNKDo6ml555RVSKBQ0ffp0KiwsJIVC\nQVFRUfT777+Tl5cXbdq0iV588UUi4sfWlStXEhHRhAkTSC6Xk4+PD/Xv35+IiPr27UsRERGUn5+v\nVX5paSm5ubnRfffdR8OHDyeFQkGxsbGUlZVFixYt0jzTnp6e1LRpU+rZsyd17NiRlixZQn369CF3\nd3c6fPgwVVZWkouLC82cOZNkMhnNnTuXPvvsM5o8eTJNnjyZPvroI5o9e7Zm3tS3b1+aO3cuDRgw\ngIiITp48SU8//TS5u7vTc889Rx999BGFhobSww8/TN26daPQ0FBq1KgRbdu2jfr160ffffcdrVq1\nigDQM888QwDo+++/JyKipKQk8vf3p86dO1NERAQ9++yzNG7cOBo9ejSNHj2annnmGdq5c6fm91Sp\nVJSdnU2ffPIJTZs2jXr06EHvvPMOASBvb2965plnqKioiIj4+VRpaammzvfeey99/PHHNH36dL3f\nNjQ0lA4cOKB17Mknn6T333+fAgICKC0tjYiI/P39KS8vj1577TUCQC+++KKmnQ4ePEhNmzalsWPH\n0oIFC2jXrl00cOBAUigU5OrqSn5+fpSTk0Nnz54lIqJnn32WwsPDqaamhs6dO6eZGwLQ5P/www/T\n4cOH6Z9//tHMV8WsWbOGHnjgAXr++efps88+k3xupfjqq68IAL377rukVCpp+PDhRtNfuXKFANCk\nSZM0x8aOHUsAaOTIkQRAk+dLL70kmceGDRvoiSeeoNGjR9PWrVuJiJcbgoKCyNPTk1q0aEGvvfYa\nnT17lsrLy2nbtm00YsQIWr58Oc2YMYPUajUNGDCABg0aRBMnTqSioiLy9/en0tJSio+Pp5UrV5Kd\nRSirCQkJoYMHD2od4ziOEhMTiYho8uTJ9M477zijalrott/IkSNp27ZtNmtXpwm4UVFR1KdPH8rP\nz6eNGzfSiBEjDOajOwAJtGzZkuLj40mhUGiEKiKiAwcOUOPGjWnRokXUp08feuihh2jWrFk0e/Zs\nSkhIoJqaGtqxY4cmfVVVFdXU1E1eY2NjqVmzZuTl5aURdAYOHEhvvfUWxcbGUvv27enxxx/XDBpE\nRGvXrqXDhw+Th4cHbdy4Ua+uaWlpmhd27dq1NH78eOrZsycdPnyYZs+eTcOGDdOkfeedd2jOnDnU\nrVs3OnPmjOb4ihUraOzYseTj40P5+fn033//UXBwMM2ZM4cGDhyoVd60adPIz8+P7r33XmrZsiUR\nET3//PM0b948rXQVFRVa34uLi0kmk9Grr76q+f7xxx8TEdH7779PzzzzDA0fPpx++eUXzfWffvop\nXbx4kb788ku9+66oqKDy8nK940REX375JU2ePJlGjRpFHh4eVFJSojnXq1cvAkAymYzWr19PREQv\nvvgiDRw4UKutxFy8eJHeeecdiouLo0uXLmmOz5gxgwBQVFQUERG99NJLNHHiRMk81q1bR71799Y6\nduLECQJAa9eupS1btmiOjxs3TiNIL1y4kADQ0qVLydvbm+RyOSkUClKpVPT5smU06u4uNKFTCK0a\neT+921JJ27oH0t5gF0oJ9KBKBUdJfqC/27vRV11c6KsnOtMfX82g4zE76UblDSIiys7OpsrKSkpO\nTpasN8MK1Gqi3FxecFi5kmjyZKJ77vk/e/cdX9P9P3D8dTNJSCISaRJZJEEIEgmCGJXYexNqlqKo\nVaOllKJWqb1q1VZ716odW42oaGxihVgJSe7798f9ur+mksa8V/g8H488uPecez7vc3Nzz3l/pmit\nrORZsaJysXVdWTG0ubSeW0/yTcgn2Ydll8rzK8vw3cNl/5X9kpySbOwzUN5jWq1Wzt4+K5MPTpaG\nSxuKxxAHadYuhyyvnkeu5HeRpCwW8jS/r6S0aCEyfrzuc3j1qu5z+ZYdOXJEjh07JuXKlZP58+fL\niRMnBJC9e/dK3bp1RaPRiK2trcTGxkrlypWlQYMG4pDTXjrVC5cGLsggd2R1Pms59ompxFsid6w0\ncsjVXNYWsZMJRW3kl4bBUtvdVMq4Z5MmNcNk3LifBJCQkBABZMCAAeLi4iIzZsyQsmXLypo1a+TB\ngwdiYWGRqnJ64MCBYmZmJsOHD5edO3fKkydP5PHjx7Ju3ToZM2aMlC5dWubNmydt27aVUqVKSeXK\nlWX9+vWSnJws5ubmkjt3bjl16pRYWlrK+PHj9d/Pp0+fFnd3d/H19ZUqVapI1qxZZejQoXLlyhUB\n9AnFvz169EiKFCkiHTp0EEdHRxk5cqRER0dLVFSUiIiMHTtWsmfPrr+ejBw5UsqUKaN//YwZMwSQ\nfv36ydSpUwWQa9eu6be7uLhIhw4d0iy7UqVKYmZmJlFRUfLw4UOxsrKSbNmy6StAN23aJH/++aeI\niKxatUqePXsmFy9eTFW5+/x3/zzxGjhwoADSs2dP6dmzp/4ck5PT/i6zsbERCwsLuXPnjr4C/t+K\nFi0qDRo0kB9++EEAWbFihfTo0UNMTU3l8ePHIiISEBAgs2fPllmzZumfExFZuXKlVKtWTWrVqiVL\nly4VEd3Nt6enp/To0UO/340bN0Sj0cioUaNk1qxZAkifPn2kWrVqAoi7u7vkyZNH6tWrJ1evXpWN\nGzeKqampjB07Vuzs7PT3ICkpKWJlZSVZsmQRQObMmSPBwcFSrFgxGTFihISGhsqPP/4o3bt3T3WO\nW7ZskTJlykjWrFn1yT6Q5r2eiK7C3N7eXqpWrZqqkeK557+PfxoyZIi+AuS5ggULyp9//imNGzcW\nQOzs7FLdC/fv318A+fvvv+XMmTOSPXt2cXJyEnd3d2nYsGGq4z9+/Fhu3Lihfz8BKViwoP7+esKE\nCfrP1l9//SWAtG7dOtUxkpKSpFixYuLm5vZK9yIHDx6UbNmyybNnz2TOnDn6+8f0JCcni5WVlfTr\n10//3FdffSWArFu3ThYvXixJSUliamoq3333XZrHOHnypPj4+Iibm5v+71VEl/hGRETI0KFDZcaM\nGfrnL1y4IM7OztKlSxd9g9fEiRNFo9FIr169ROTF++XMmuBOnjxZatasmSrvMYZ/v3/Hjh2T69ev\nv/8JbpMmTcTZ2Vl/0Zk1a5ZMnTpVpk6dqt+nT58+4unpKYGBgakSkheChDRbtcLDw2XmzJmSK1eu\nVM9funRJwsLCZOLEiVKvXj1p06ZNqhbajCQmJkrz5s1TfcFu3bpVoqOjJTY2ViwtLcXBwSHNL6kC\nBQrInj17Xng+OTlZzMzMpHfv3rJ7924pWLCgWFlZyePHj+X+/fupLvL79u2TQoUKiY2Njdy9e1f/\n/JUrV0Sj0aSq/Zo6darUqVNHTpw4kaq8UaNGCSATJkyQo0ePiojIs2fPUlUEpCcoKEh++eWXF56/\nffu2XLlyRR4+fJjuBfFVLF26VPz8/MTR0VH69OmTatvOnTv1Nd7PW2qHDx8ugCxcuPCVypkyZYoA\nEh0dLSIihw8flp07d6a5b3x8/AvvZUpKivTo0eOFRP3p06f6z+WCBQsEkDVr1kiJEiXE1tZWHBwc\nZO3atdK8eXPp06ePvsa3ffv2EhQUJFZWVhIfHy+SlCRJZ8/ItYXTZGPTMJnrbinHc1vLI3ON/G2v\nkTWFskh/fxOpWshEcuYxk4nTJsqOHTukd+/er/Q+KC/pyRORXbtEhg0TqVxZJFs2kbJl5dGQgbJl\n/QTpurGrFJpcSBxHOkqb1W1k9dnV8uRZ2pU4ysclRZsiey7tkZ6be0qe8Xmk5LfOsqBNsNwIzCcp\n1lYi5cqJDB4s8scfImlcP96Vtm3bSrdu3cTDw0Natmwp27dv17dsBQcHCyBFc1lJ5PdfyJ4aReWg\nq4U8MEcu2mlkZW7key+kSxE7+TSPtRz8Y7Ncu3ZNmjZtKvPnz5c2bdpIjRo1pHLlymJnZyfZs2eX\nS5cuSdasWeX48eP67+vTp0+LjY2N5M6dW54+fSoiIrGxsanfv5QUuXTpUprX+5iYGNm/f7+I6K6n\nvr6+YmVlJQcPHhQREQ8PDwHkwYMH4ufnJ02aNNFfV573wjIzM5OzZ8+KhYWFTJ06VbRarfTt2/c/\nr2fz5s3TJ27/tmTJEgH0rSFXr15NdWO5evVqAeTHH3+UFStWiIWFRareQSVLlpQ5c+akWW7Xrl1T\nJVrHjh2TtWvXphvny/jll18EkNu3b7/U/vnz53/h/urfIiIiZNKkSXL48GEB5OTJk7Js2TIJDg7W\n77Nr164XWohFdPdqTk5O4ujoqK9keH7v8uuvv6baNywsTP744w9Zt26dADJ79mxp166dmJmZyZUr\nV/Qtqc+PW6hQIfnzzz9l+vTpqY6zZ88efRkXL14Ue3t7cXJykj/++EM8PT3ls88+k5kzZ6Z6TWxs\nrJiamgogzs7OUrp0aQH0CeO/abVaCQwMFBMTk1Q9D/9LSkrKC/eUYWFhsmnTJqlYsaJkyZJFLCws\nUiVZCQkJ+oqBJ0+eCCCFCxeWzp076/9W0pKUlCQajUY6duwogNy7dy/V9lu3bgmgT+z+6ebNmy/9\n+XlOq9X+5z1+WkJCQlK1Eo8ePVr/9/2ch4dHmg0rIrr7XUtLS/H29n6pXnHPvyNKlCih/1s/evSo\n/u83LZkpwTUxMdEnuFevXpXatWtLrly5pG7dusYIUUTSf//e+wT3bUrvZLt06SJNmzaVgICANLef\nP39etm7dKtevX9clEm/Bs2fP9DXSaYmOjk51AfsnLy8vGTFihMTGxgqQbs1tcnKylC5dWvLly/fC\nH2Z4eLgsWbIkwziXLl0qgKxatSrDff/tr7/+SlXL+q7s3LlT3+UkLefPnxdADh06JCK6mwV/f/9X\nTq6fl5PWBfZtOXjwoABy9uxZadWqlRQsWFAKFSok1tbW+ppeV1dXcXd3l3Xr1ukrSf5Nq9XK4MGD\npXDhwpLTzk6u79gmX3ray+4aJeSs3yfy2MJEDn+CzCiZXRoEmMrqnbP0rbwvIyUlRRYtWvQ2T/3D\n9/ixyPr1Ip06iTg7iwQGioweLZdO7pVx+8dJ+TnlJceIHNJuTTvZd3mf6mL+EYq+Gy19t/YVlzEu\nUmZkftnQuZI8LuwnWgcHkTZtRNau1X2O3pFp06al6l3ybyVKlJAaNWqImZmZ5M6dW5YuWiRBNsi0\nivlkZW4TuWmFXLRBdpZylU1fVpF984bLmRN7ZebMmaLRaCRv3rxiYmIi2bJlE1tbW7G1tRUXFxfZ\nvn27DBw4UExMTGTMmDFSsmRJfdfSixcvvhBHt27dUrWavIm5c+fqkxQRXddWa2trEdF198yVK1eq\n1rBKlSqJs7OziIhMmDDhhYrM9CQmJsro0aPTvK7v2bNH310yLc+7ek6fPl327dsnPj4+qbYfPXo0\n3WvtPytQ35bt27enGp6VkQoVKuh/n+l59OiRJCUlSUpKijRo0EASEhIkOTlZrl+/nuHxtVqtODg4\niLu7u/65NWvWCCCnT59O8zXPr7UHDhyQ7777LtVQsZcVHR0t7u7uotVqJXv27GJmZiaPHj0SCwsL\nKVKkSJrJoZOTk5ibm+u7xR4+fPg/y4iNjU31+XsdLVq0kNmzZ0uRIkWkVKlSL/Qu+zcXFxcJDw9/\nqWM7ODjIggULJCQk5IXPQ1JSUrrD7Qxl4cKF+h4KIiKLFi2SLFmypIq1XLlyabaQPxcYGJhmkp6e\nChUqCKBvFEpKShJra+s0G3xE3t8EN7NQCa6kf7LTp08Xe3v7dBOkd6VGjRovXSv3T+XLl5cZM2aI\nVquVb775JlWX3Jf1sl0KDhw4IIC+dvt9dPr06XRrCUV0Fz8/Pz99Lb9Wq023u/N/iY2NFY1G81Za\nndNz//59sba2lqdPn8rIkSOlcuXKEhYWJnZ2dpI3b145dOiQNGjQQAA5c+aMlC5dWkqUKPGfx+zS\npYvUqlVLXFxc9F/q2oQE+dTaUmYUyyMb7ZGHliZy3NlE5tdwl/lTOsrUZZP0XcrT8rxL/79v1gYO\nHKivSFD+Q3KyyLZtuu7M9vYiNWuKbN4s1+5fkRG7R4jvBF/JPzG//HzgZ3n01HAtdIrhJacky9JT\nS6X8nPLi+KODTB1eX+7XqixiayvSvLlu7LeBuoBVq1bthe6Ez6WkpEi2bNkkf047+cLTSpa6mcqd\nrBo5mRP5xd9KmuXVyBfNq0vTZk1feO3KlSvFyclJypQpI4DMmzdPDhw4IIMHD9ZX6M2YMUPMzc3l\n1q1b0rt3b5k/f/67Pl0R0V0L27dvr28NbtasmeTNm1dERD8G8/nYSxGRb7/9NsME4VVduHDhPyuS\nn1fSLlu2TJKTk+X48eNvtfxXFRcXJ4MHD37p/SMiIqRjx47vMCJdxUNERIT+cXR0tFhZWaV7vb54\n8aIAcv/+fZkzZ440b978tcpNTEwUEV336efDuBwdHcXJyUn/mfqn8PBwfQKUXgPH2/b111/LsGHD\nxNXVVUaOHJlqWFxaypQp89LvR2BgoH58blpsbGxeaP02pl27dqWqCBEROXfu3H/eEy5ZskTOnTv3\n0mX06NFDAImLi9M/V7Vq1RfGSz+nEtw3864TXKPNovw2NGjQgO7du6daQ84Qnq9v+qo6duxI0aJF\n0Wg0DB069LWO8Xza74y4u7sDujWB31eOjo4A5M+fP83tGo0m1bpYGo2GrFlffYkXJycnDhw4oF+W\n4l2wtbXl8uXLWFhYULt2bby9vVmxYgVhYWEsXLgQc3NzQkJCWL58Oa6urpQpUybddSKf69+/Pz4+\nPjRp0uT/l2LKkoU7efPR//INSoXWZkn27PStWI6AnWuxGb6YrLfusckLfrq9GafwFjhoXKlUqRJX\nr16lW7du1K5dm+TkZO7du6efdRxgw4YNPHjwgKCgoHf2Hn0QTE3h0091Pz//DAsXwtdf4/LkCX26\ndePrtsfZe/sIPx34ie93fc8XQV/wZfCXOGVzMnbkyluSmJzI3ONzGb1/NM6WDoyKCyJ40V1MtH9B\np04wdzHYGXYW7j///BMnp9Sfsbi4OMb3/ooid8+x3fIR3o9hZw5TDrrkZFZeR6xz5mPzps3Y2+dm\nUqMOPHny5IXj5sqVCw8PDxwcHHBwcKBFixYA5M6dmxEjRuDq6kpwcDA9e/bE0dGRkSNHGuR8QXct\nnDZtmv6xu7u7fm3QcuV0M6/+8zuuTp06+mvO2/L8+urq6prm9ly5cgFgZ2eHqakpRYoUeavlv6oc\nOXIwcODAl96/YsWKqd7Dd6F58+Y4ODjoH3t7e3P8+PF0r9cuLi5888032Nra0rx5cxo3bvxa5Vpa\nWurLe/5/Nzc3qlatioWFxQv7d+rUCRMTE3bs2KH/vb5rzs7O/P3339y5c4fOnTtjZWX1n/t7eXm9\ndGw7d+4ke/bs6W63t7fH3t7+leJ9lwIDAxk+fHiq53x8fP7zNY0aNXrlMmxsbLD7x/f32rVrX5iB\nWMkk3kqa/I79V5hfffWVjB492oDRZA4pKSlSsWLFlxpzayzJycliYmKS5pjlD8GCBQtk06ZN+sf7\n9u0Ta2tr0Wq1cvXq1Zcak7J8+fIXav3r1asngCxatEj8/PykePHi+rEoEWVDZX54iBx1yy53siC/\nFNLIlCF1xbekbqbJ8PDwNLt/ubi4iK+v79s58Y+NViuye7euNdfVVeTnn0USEuTcnXPScV1Hsf/R\nXvpu7Sv3Eu5lfCzlvfUs+ZlMPjhZnEc7S625VSV6aE8RNzeRChVENm58J5NDvYy7d++KlZWVWFlZ\nyfTp0+Xq4YNysmcLOZPbWm5aIdN8NdKuoqfkcMwm9evXl88//1ysra1l1KhR0rlzZyldunS6x9Zq\ntXLz5k1p166dBAYGvlDu+2Ty5MnSqFEjEdFd/+zt7WX37t3vvNx8+fKl26NLq9VKlixZMuzOqhhP\n3759pUGDBiIism7duv8cX5qUlCQmJiYZTpL0tixevFgqV64sVlZWL7X/smXLZP369W+l7MDAQNmx\nY8dbOVZmcfHiRWnWrNlL759JUqj3Vnrv39t6XzPFb+e/TlaNd8vcqlat+sIEBx+qpKSkNCcqeVV9\n+vTRT7bwfGbN9u3bi7W1tQwZMkRiYmIkd+7cUsHHWyYUySNHc5rLlezI2LLZxKMQggWyfft2EdFV\nMiQkJIi5ubk4OTlJTEzMK08GofzD4cMitWqJuLiIzJwpkpwsV+KvSNvVbcVxpKOM3jtaEpISMj6O\n8t7QarXy25nfxHeCr4TPqSgxU4aLeHuLhIeLvAdDQHbu3CmhJUtKW6+cssYBuZsVWVv2E+neoIgM\n+fE72bFjh6xatUqKFi0q3bt3l2HDhulnhX/27FmqWX3T07dv3xeWDHnfxMfHpxr3u2XLlhdmPTWG\nIkWKvNR7rBjHrl270p0NOS2urq766+e7tmvXLnFxcXmha64hnDhx4r1uIHkfqAT3zbzrBDdTd1GG\n92exYuX1bNiwwdghGIyZmRl169Z94+N4e3vj4uJC9uzZ8ff3x87Ojl69ejF9+nRCQ0Px8vLi/Pnz\nPH78GI1Gw5QpU6jtnZfi00dy5NxRInPDjl+74+K3kPGDJ/L06VNy5syJj48Pp06dom7dujx8+PC1\nuoN/9IoVg9Wr4fBh+OormDSJ3OPHM7PWTM7cPkO/bf2YemQqk6tNJjxvuLGjVTIQdTuKDus6EP80\nnrkunSk5fD7IcpgyBcLCDB6PiDB48GC+/vprLl++zIIxoyhx4QjLT54k2l5YU9iJ757YcvSPv/i2\naFGm9apKiRIlAJgzZw5ubm588skngK77rrm5+UsN8fHy8nqn5/U22NjYYGNjo38cHv5+/H0dP37c\n2CEo/yE0NPSV9u/QoQOFChV6R9GklidPHm7evGmUru2FCxc2eJmK8jZl+gRXUT42RYoUoWjRooBu\njJSrqys+Pj6sXr2aUqVKAbrxRc/HFfXv3x+Ac0UDyJ0vH32y5iViywVM1/ij9RI2JNjwibMXOXPm\n5OzZs6SkpHDu3DmjjxfL1IKCYPduWLIEmjeHUqXwGzeO1U1WsyF6A+3XtSckdwhjK4/lk2yfGDta\n5V8SkxMZtnsYkw9NZlixr2m3/AImq4bDyJEQEQFGGpO1YsUKBg8eTDU3F+6PH0SPczdYUSgL47vU\n5ZtB8yhpZskCDw/WrVvH33//TUBAgP61AwcOxMnJST9O9Z/jHjPSvn37t34uipIZDRgwwGBlubq6\ncvLkSW7evGmwMhXlQ6FGTitKJhMcHMz69esB+OGHH+jUqRMAtWrVwtzcPN3XeXt7U7BYMZ7VakQD\nWzc+fwBNYrNxLCaeBlZnMXGIJ+psFABRUVFcunSJbdu2vfsT+lBpNNCkCURFgbs7FC4MCxZQzbsq\npzudxsPOg8JTCrPgzwXoeuUo74P9V/ZTZGoRTt8+zV9OP9C+xThMRODMGWjRwmjJrYiwcVB/djiY\nkbv7F+y2vE1+ZzO+vW5H9Zo9sLK0wtTUlP79+1OnTh2+/PLLVJPlBAQE4OLigqenJ8A7nzxIUZQ3\nV6BAAcqXL2/sMBQl09FIJriz0mg06gZQUd6SGTNm0L59e3788Ud69epF8ezZGOphR9ClWCYVNWfU\n1Wf0bDUQrVZLZGQkW7ZsMXbIH4ZDh6BNG/DwgOnTwcWFYzeOEbEigsJOhZlSfQo5suYwdpQfrWRt\nMkN3DWXq4anMKDOSmj9vgiNHYM4cCAkxamxjmzakwqEd2N25y9wK7qy8Y0VynAlubm5s3ryZ+Ph4\nfffcpKQk+vfvz6BBg7C2tn7hWCKCvb09MTEx5MihPm+KoiivQ+Umbya99+9tva+qBVdRPjLPlxOp\nUKECJiYmmBcuwoFG7VnZuSd+f6Vw/g6k7B7LhgMrOH/+vJGj/YAEB+sSpmLFIDAQ1q8nwDmAI+2P\n4JTNicJTC7P9wnZjR/lRirkXQ9nZZdl/dT+nfMdTs+E3kDMnHDtm1OQ26fAhLpcqRP0Ny5nmcJ8G\nxQoR+uUv/LnnLE2aNKFIkSJ4eXmlGntqbm7OqFGj0kxuQXfzoJJbRVEU5V0aNGiQfmk5Y1AJrqJ8\nZJycnLCxsdGPz6tYsSL+/v6Y+xWk0d0UvikURMjJRH47eIagXBf5O/Y8ycnJAJw9exatVmvM8DM3\nCwsYPBiWLdOtmdq9O1m1JoyvMp5ZtWYRsSKCYbuHoRX1HhvKmr/WUHJmSRrnq8+mM4E4dOoJs2bB\nhAmQwbqTb+r3339n0qRJ+scdO3bkxo0bcPMm1xpV5f6nIaz2SSY0Ty6mRaZQrki4fvKXxo0bExIS\nop9E6lWo5FZRFOXDV758eezt7Xn27FmG+86ZM+eVJ137L8aeBDjDBDcxMfGF554+ffpOglEU5d0L\nCAjgt99+w8xMN8fc0KFDqV+/vn5MnnedepztO4J11RowMErD5ZK+9Pi6ErG3YylSpAgLFy40Zvgf\nhtBQXevgpUtQqhRcvEilvJU4/Plh1kevp/bi2txLprxxeQAAIABJREFUuGfsKD9oKdoUBuwYwJcb\nvmRTxTl0+3YtmsNHdL+XSpUMEsP27dv5448/ANBqtSyaM4drfbrxwMedtTd3U9jTnGsudbgVFU/t\n2rWpWLEijo6O7N+/H19fX+rUqcOiRYsMEquiKIqSeVy8eJGDBw+SK1cu1qxZY/Dyjd19O8ME9/ms\nrP8UYuTxSIqivD4LCwvC0lji5Pmsqo6OjvTs2ZMvFy2jV3AFlt8RBk77g3W18pAv+BO++eYbfYuu\n8gbs7eG333SzLIeEwI4duNq4srPlTrztvQmaEcTJmyeNHeUHKS4hjhqLarD70m6O+/1MYM3PoXx5\n2LgRHB0NFsf58+e5e/cuANcWzOcQicQeXMH8KR1JifgRb9sgxo4Zi4eHB6tWraJ69eoAlCxZ0mAx\nKoqiKJnPvHnzCAsLo0WLFsydO1f//J07dxg7diz+/v44ODjQpUsXzp49yxdffMH+/fvJnj079vb2\ngK4FeNasWfrX/ruVt1u3bri7u+Pk5ESHDh04ceKE4U4wA+kmuDdu3ODIkSM8efKEo0ePcuTIEY4e\nPcqmTZv0y48oivLheJ7g/nP5EC8fHyY/hm6hYdjGWrLx1FVCfeJZ9/s6Y4X5YdFooHt3+PVXaNoU\nxo/H3MSMnyr/xJAKQ6g4ryLrz603dpQflNO3ThM8Ixg/Rz+2PW2M/Wcd4JdfYNAgMDU1aCzR0dE8\ni43lTtM6mHRtS/cSsKLaZ3SOGMe1i9cIDw/Hy8sLb29vg8alKIqiZG7z5s2jcePGNGrUiM2bN3P7\n9m0A2rZty/Hjx1m5ciXXr1+nSZMm5M+fn2nTphESEsLDhw+Ji4sDdN2M/6urcfHixTlx4gR//fUX\ntra2dO7c2SDn9jLSXQd3y5YtzJkzh2vXrtGzZ0/98x4eHgwZMsQgwSmKYjjPuyg7/qMFq2zZsjx6\n9IiTJ0+yLk7LmZnzGP5FW/b2bsDw893o12UM8+fPx8rKivr16xsr9MyvYkU4cADq1IGjR2HqVJr5\nNyNPjjzUW1KP3qV681XJr4w+piWz23VpFw2XNWRMhR9pPv84bBwHe/aAj4/BYxGtlkLnohglSayy\ni2HvV3U4NecwhbLdAnTdy6pWrUqNGjUMHpuiKIqSee3Zs4dr165Rq1YtsmfPjp+fHwsWLKB169Zs\n3bqVy5cv6+/5SpcuDbxel+KIiAj9/wcMGICzszN37tx5pXXW35V0E9yWLVvSsmVLli9fToMGDQwZ\nk6IoRmBnZ4eJiUmqL6amTZsSHh7OJ598goODA64NI7gRUIInYcG06jeW8TEH2XvLGStzleC+MU9P\n2LdPt5RQxYqwZg0lc5dkf9v91FxUk6g7UUyqNglz0/TXOlbSt+z0Mjpv6MySSjOo0GcKpKToKhWM\nMeFSXBw3m9alf5ZnNCymYelvf7O/+wBq1qjJ1q1bAbhw4QJeXl7Uq1ePlJQUw8eoKIqivL63VSH9\nGonn3LlzqVSpEtmzZwegYcOGzJ07l3z58uHh4fHW1kGfM2cOy5Yt4+DBgyQnJ5OQkMDJkyepUKHC\nWzn+m0g3wX2udu3a7Nq1i/379/P06VNEBI1Gw8CBAw0Rn6IoBmJiYkLlypVxcXFJ9XzOnDmxsLCg\nYMGCADh7e9Pm4j1GN2tAw7lrsXVNYYJdXmOE/OGxsoKFC2HAAN3kUxs24OHtzd42e2m2ohlVF1Rl\nReMV2FjaZHwsRe/nyJ8ZuXckO8vPwa9pL10Fwk8/gVmGl8C3TrZu5VFEQ1Z4P2FS2TzEbLmOrakt\nkZGRTJw4kZkzZ6LVavUJbnrL/SiKoijvMSNNspSQkMDSpUvRarU4OzsDusmB4+Pjsba25tKlS9y9\ne/eFJNfU1PSFVlxXV1diY2P1j48dO6b//5UrV+jRowdr164lICCAlJQUnJ2djT651HMZTjLVpUsX\nhg0bhlarxdrammzZsqkLrqJ8oDZs2KCv8XtOo9Hg7u5OoUKFUj1foWc/GjjlweQmLDp9joWze/Lw\n4UOSk5OZPHmyIcP+sJiYwA8/QK9eutmW9+8nu2V2VjVehU9OH8rNKUfso9iMj6OgFS1f//41kw9N\nJrL4DPzqtoeOHXVLABk6uX36lCfdOnO3cU36N3MirtkAStiXw9HBkaNHj3Lz5k1CQ0PJly8fK1as\nID4+Xn9zoiiKoigvY9WqVZiZmREVFcWJEyc4ceIEUVFRlClThjVr1hAeHk6PHj04f/48iYmJ7Nu3\nD4BixYoRHR3No0eP9MeqWLEiq1at4tq1a2zfvp3Vq1frh0rdvn0bEeGTTz7h4cOH9O/f/71aZSfD\nK/yuXbs4deoUJiZqyVxF+Vh5eHjoW3CfK1y4MKcvXaKLuTWf2VswqMt4hk4aR+F+c+jcuTNNmjTR\nz8SnvIb27SF3bqhVC6ZNw7RePSZXm8wPu3+g1KxSbGq+Cd+cvsaO8r31NPkprVe35lL8JSK9R2Jb\nryVMnAiNGhk+mPPneVi7KrtNr3J4+ueMrTOGr7p+ReHChTl27Bi//vorlStXxtTUlAEDBtC6dWuK\nFi2qrruKoijKK5k3bx5t2rQhd+7cqZ7/8ssv6datG6dOnWLWrFnUqFGDu3fvEhERQalSpfDz86NO\nnToULFiQhIQEbt26Rb169Thx4gRBQUEUKVKEzp07s3btWgACAwPp1KkTn376KVmyZKFHjx64ubnp\ny8togqp3TSMZtCV37tyZevXqUbFiRUPF9AKNRvPeNHkrysfo1KlTuLm5YWtrm+r5UqVKkZiYSL58\n+Ti6eiWzLZ8S72hG0/hklszbROXKlY0U8Qfk6FGoWRO+/hq6dQNg5tGZDNgxgFWNV1EidwkjB/j+\niU+Mp97SethY2rBYGmLZ9StYsgSMMC5IVq3iSevmDK1gQoWRy6jkrfubCA0NZfDgwQwfPpxDhw4x\nefJkmjVrhlarZcWKFVSrVg0rKyuDx6soiqJkTOUmbya99+9tva8ZVg/v2LGD8PBw3Nzc8Pf3x9/f\nn8KFC79xwYqiZB6FChV6IbkFKFGiBN7e3syaNYuNp86wtGlHbjy15PAz2LJ6NADXr1/n0KFD6kLw\nugIDdZNPTZ2qS3K1WtoFtmNGzRnUWFSDDdEbjB3he+X6w+uUnVOW/A75+e1ORSx79oYtWwya3N64\ncYONa9fyrFcP7nweQecv3Og0+zQlHEsyadIktFotJ0+exN/fn5w5c/LgwQN9ZZCJiQkNGjRQya2i\nKIqivKYMuyhv2KBunhRFSVvr1q25ffs2VlZW5MmTB09fX9pOeUxPXyf6ztnK/GxVOCZ+/DT6JxYs\nWECzZs2MHXLm5OGhW86mZk1o2RJmzaKGbw3WNl1LncV1GBE2glZFWxk7SqOLuh1F1QVV6RDYnr5b\nnqBZ+rPuffPyMlgMT548oW7p0vx0+waH3MxYPLYWU5vOhmQICgoiKiqKoKAgsmbNiqOjIw4ODpQs\nWfKtzWqpKIqiKB+7DFtwPT09sbS0ZO/evXh6emJtba1aYhRFAXTjcP85fCFPnjwAuH7Rh8+cXSk7\ncxv5tk/FP7AAJ06cMFaYH4acOWHrVnjwQJfoPnxIydwl2dlqJ4N2DuKHXT981N/Ney7vofzc8gwJ\n/Y5+82LQbN4Me/caNLkFuLh2LcuuX2ZboUSOz/yBn5svJItZFsaMGYO3tzfBwcFs2LCBAgUKALpx\nTJ999plBY1QURVGUD1mGY3CnT5/OwoULuX79OufOnePatWs0atSIvXv3GipG1c9dUTKJU6dO4e/v\nzx9//IG9vT2t69Vh9KMrPLPWMi2wAsuXbDF2iJlfcjJ06qQbm7t+PTg5cf3hdaouqEoZ9zL8XOVn\nTE1MjR2lQa2IWkGHdR1YVHUWYf1nwrNnsHw5ZMtm2EBWr+Zh8yZ0DEti0xU7jq08hpubG5cvXyYg\nIIDDhw/Tv39/Lly4QEBAAFOmTDFsfIqiKMpboXKTN2P0Mbjz589ny5Yt+qWBXF1defjw4RsXrCjK\nh8fT01P/r4+PDycvX6VhghXmrj4M3v47R/b9ZtwAPwRmZjBtGtSoAaVLw/nzuGR3YVerXUTdjqLR\n8kYkJCUYO0qDmXhwIl02dmFr9aWEdfgRbG1hzRrDJrciaIcNI75dC+o3swSPJhTIWoCYmBgGDhyI\nj48P3bp1w8vLCy8vLw4dOoSvr5oBW1EUJbPKkSOHfqZg9fPqPzly5Hinv58ME1xbW9tUSxVcvnz5\nhamn07Nr1y4KFCiAj48PEyZMeGF7QkICLVu2JCAggHLlyrF69epXCF1RlPdNtmzZmDhxIq6urlha\nWuLm5saDhATyLdzK3CyWuFZtRINQV27cuGHsUDM3jQYGDYLevXVr5R4+jG0WWzZGbMTC1IJKv1bi\nXsI9Y0f5TmlFS9+tfZlwcAL7Ky2lSIPOEBICc+eChYXhAnn2jJSWLbgwazSf9fXFy7oxRXMXJU+e\nPMTExLBu3TpWr17NgAEDAF3lj1arJV++fIaLUVEURXmr4uLiEBH185o/cXFx7/T3k2GC27JlSyIi\nIrh//z6DBw+mRo0atGvX7qUO3q1bN6ZNm8bWrVuZNGkSd+7cSbV97ty5WFtbc+zYMebNm0ePHj1U\nc7+iZHKdO3fG1FTXRbZAgQJ4eHjwibMzE++asK1FUyYfuc6CfvUQEW7fvm3kaDO5Dh1gyhSoWhU2\nb8bSzJIF9RZQ3LU4ZWaX4XL8ZWNH+E48TX7KZys/449Lf3Cg5CzcqzWFtm1h9Ggw5NqxDx+SVK0K\n+05uZND3FegZMpabMTfx8PAgT548HDt2jOjoaD799FP9eoBe/xsTrFpwFUVRFOXdyHAW5YYNGxIc\nHMxvv/2GVqtl/fr1qRbyTU98fDwAZcuWBaBSpUpERkZSvXp1/T62trY8fPiQpKQk4uLisLKyMuqi\nwIqivF0FChQgMTERjUaDp6cn36zbw55SJRjwWySTH/kzM8acY0ePGTvMzK1OHXBwgPr1YfRoTFq0\nYEylMbhkc6H0L6XZ0GwD/k7+xo7yrYlLiKPukrrkzJqTHXmHkKV6fRg7FiIiDBtIbCxJVcJZlf06\n+4dGMKX8MOxz2APQv39/kpKSGD9+PMWLF8fiHy3KXl5emJmZ6bvzK4qiKIrydmWY4IKuS1XPnj1f\n6cCHDh0if/78+sd+fn4cOHAgVYLbtGlT1q5di4ODA8nJyezfv/+VylAU5f1Wvnx57OzsAChTpgzm\n5uZ8//33hBfKy9Ktp4lzgkePHpItW3YjR5rJlSkDO3boWnJjY6FXL3qW6olzdmcqzqvIsobLKOdZ\nzthRvrGYezFUW1CN6r7VGfm4DKYNm8KCBVCpkkHjSD59GqlelQkFH5HwdQ/GlP2G7du3o9FoePbs\nGR4eHgQEBHDnzh39zOLP5cmTh7Vr12Jm9lKXX0VRFEVRXlGGV9itW7cybNgwjh49SkpKCqCb4erB\ngwdvXPjEiRMxMzPjxo0bnDx5kurVq3Pp0qVUY36fGzRokP7/5cuXp3z58m9cvqIo71bVqlWpWrUq\noJuR/bmR85fTY8i3fBd1iJ1V8hG29RxZshh4xtsPjZ+fblmcqlXh+nUYM4Zm/s1wsnai4bKGjAwf\nmanXyo28GkndJXX5JvQbOp+wgIGdYMMGCA42aBzXV6zArHFDRtS3wbfXcHoEfQHo5pzo3LkzDx48\nIFeuXGg0Grp27frC601MTKhSpYpBY1YURVGU99HOnTvZuXPnWz9uhssEBQUFMX78eEJCQtJMPNMT\nHx9P+fLlOXZM1/2wS5cuVKlSJVULbqNGjWjbti2VK1cGoESJEsydOzdVyy+oqbgV5UPVuU1LIvas\nhGyWFNp2Epscnxg7pMzv3j2oXRtcXHQTLllaEnU7ilqLa1ErXy1Gho3MdMsI/frnr3Tf3J1fasyk\n5oJDsHAhbN4MPj6GDWTzZhIaNaBB2COqdZlI5/Kd9ZvKly9P3759VfKqKIqiKK/JYMsEWVhYUKxY\nsVdKbkE3vhZ0tdoXL17k999/p0SJEqn2qVixImvXrkWr1RITE0NcXNwLya2iKB+uIiVLM6NETUxt\n7Thf0pf7t68YO6TML0cO2LIFkpKgWjV48IACjgWIbBfJidgT1FhUg/uJ940d5UtJ1ibTfXN3vtv5\nHTsarKfmwF91XbEPHDB8crtyJc+aNaZ2Iy0bToDNFRv9psTERA4fPkzp0qUNG5OiKIqiKC/IMGsN\nDQ2lTp06zJo1i99++43ffvuNFStWvNTBx40bR4cOHQgLC6NTp044ODgwbdo0pk2bBkCTJk0wNTUl\nKCiIjh07Mn78+Dc7G0VRMpUiRYpw4nQUxbeeJcHbk6vF83Pveoyxw8r8smSBpUshf34oWxYuX8Y+\nqz0bIzbiY+9D0PQgjlw/Yuwo/9Ptx7epNL8SUbejOFxjDYUadtKd17ZtkCuXYYP59Veetm9L1RYa\nCvt3xOKKBb169aJcuXJcuXKFgwcP4ufnR/bsaiy5oiiKohhbhl2UW7VqpdvxX7Mbz549+50F9W+q\ni7KifJgePnyIk5MTQ4cOxczUlKK75uN08DQ5dx/BwdPP2OFlfiK6GYZHj4ZFi+B/cxcsPb2Uzhs6\nM7DsQL4s/uV7N3v91pittFrVihZFWjDUth6mdetBx47Qr59uDWBDmjaNhO++oVKElpFfrWfrnK38\n/fffeHt7c+vWLRITE3FzcyM+Pp7Ro0cbNjZFURRF+YC8rZwvwwT3faASXEX5cOXJk0e/YPqa1auJ\nG/MlRQ5Fk213JLl8iqbad8+ePRQtWpRs2dSEVK9k61Zo3hz694cuXUCj4XzceRovb4yHrQfTa07H\nwcrB2FHyNPkp32z/hsWnFjOn9mzCdl6Gvn1h6lTdMkiGNno0j8eNokLzZCZ22Uhx1+J069YNT09P\nunfvzsGDB2nfvj05cuSgZ8+e1KhRw/AxKoqiKMoHwmBjcG/evEmfPn3w8/PDz8+Pvn37cuvWrTcu\nWFEUBcDf3x8LCwumTJlCi88+o96605z8NJCEUsW5efqgfr/Hjx9Ts2ZNduzYYcRoM6mwMNi/H375\nRbdebHw83vbe7GuzD68cXvhP8WfZ6WVGDfHojaOUnFWSv+/9zfEWewkbskDX+rxrl+GTWxEYNIiH\nk34itJWWqd1+p7hrcQBu376No6MjoOtiHx0dzZEjR/j0008NG6OiKIqiKGnKMMEdMWIEdnZ2+mmc\n7ezsGD58uCFiUxTlI1CkSBGqVq1KkyZN8PX1xcXFBZOm/YluVpnk0NLcPL4HgF9//ZX79+8TGxtr\n5IgzKS8v2LcPbG0hIAD27cPSzJIxlcawotEKBu4cSL0l9bhw74JBw3r49CHdN3en6oKqdCvRjRWF\nhuLwaQ3QauHgQShQwKDxIAL9+3N/4WxKtUxi9pdbCXQOBODUqVOpElxLS0v8/f0JDQ3FysrKsHEq\niqIoipKmDBPc7du3069fP3LlykWuXLn4+uuv2b59uyFiUxTlI9CrVy9++uknTExM2Lp1K3Xq1OHC\nhQuEjV/Lic9rIhUqELV1DYMGDeLTTz8lNjaWmJgYgoKCjB165mNlBVOm6FpG69aFwYMhOZkQtxCO\ndThGoHMgQTOC6L+tPw+evvla5//lWcozphyaQv5J+bmfeJ/THf6k1dY7aMqVg27ddEscWVu/0xhe\n8L/k9t6KhZRu/pSFHbdR5JMigG6m5MDAQCIjI/UJLkD9+vX57LPPDBunoiiKoijpynAMbrdu3cid\nOzdt2rRBRJg7dy6XL1826IzHagyuonw8Ro8ezfXr1xk4cCC9e/cm/919NNkaxdyIz7ApGMSZM2dI\nSEhgzpw5JCQkkCVLFmOHnDlduwatW8Pt2zB9OgQH655+cI3+2/uz/tx6OgZ3pFuJbm91fG5CUgIL\nTy5k2J5h5M2Rl2EVhxEUlwW++AJMTWH2bMiT562V99Ket9yuXETpZgks+WIbhXIVAuDy5ctcunSJ\nsmXL6h+7ubkZPkZFURRF+YAZbAxunz59uHHjBmXKlCE0NJTr16/Tt2/fNy5YURQlLZ6enly4cIF1\n69bx119/8fPRR/yQ14I2ixfgkvyIS5cusWTJEhwcHFR35Tfh6gqbN0PPnlCzJnz5Jdy5g6uNK3Pr\nzOVAuwPcfHQTnwk+fLbyM7bFbEMr2tcqSkQ4efMkfbf2xX2cOyvOrmBmzZlsqb2coNEL4dNPoVkz\n3Rq3RkxuH6xcTEjTxyxov1mf3AJERETQoUMH3N3dAVK14CqKoiiK8n5RsygrivJeOXLkCG3btiUk\nJARfX1/KlSvHnTt3iN/8E2VmbaWqiSXPPnEne/bsjBs3jpCQEGOHnPndvQvffQeLF0P37vDVV/ru\nwbce32LhyYXMPTGX2EexVPSqSEWvihR3LU5e+7xkMXuxBV1EuHD/AoeuHSLyWiRrz60lKSWJBn4N\n+CLoC7yzuOi6So8aBdWqwYgRhl/b9v+Dhf79ebhqCcGNHzDv8w36CaUePXqERqPBw8ODu3fvMm7c\nOLZt28aaNWuME6uiKIqifMAMtkzQtWvXGDFiBFu2bAGgcuXK9O3bFxcXlzcu/GWpBFdRPh53794l\nT548uLq6MnfuXIL/13VWRJjzRShhC/YyvHwY182sadmyJXXq1GHlypXkzp2b4sWLGzn6TO78efjm\nG11Lavv20LkzODv//+a482y/sJ1tF7ZxPPY4l+5fIpd1LmwsbbA0swR0CfGtx7dwsHIg2CWYYJdg\nqvlUo+gnRdHcvq2byfnnnyEkBAYNAn9/I50s+uT20aplBDW+z6w2qyntXlq/+csvv+Tx48esXLmS\noKAgpk6dire3t/HiVRRFUZQPmMES3FatWlGwYEFatWoFwLx58zh58iRz5sx548JflkpwFeXjISI0\nbNiQjRs3cv/+fczNzfXbHj16xFch2fn+sik/V6uNe2hF7O3tadasGV26dDHo3AAftHPnYPx4WLgQ\nypeHpk2hRg3dJFX/kKxN5uqDqzx8+pCnKU8REXJZ5yKXdS6ymmfV7fTkCWzZAkuXwoYNuiV/unSB\nokVfLNeQ/pfcPl69jGKN7jOl5TIqeFX4x2bBy8uLW7du4e/vT2RkpBGDVRRFUZQPn8ES3AIFCnDm\nzBk0Gg0AKSkpFCpUiKioqDcu/GWpBFdRPi5arZa///4bHx+fF7Zlt8nOkBruNFr/F782b8NV0yxE\nRkbi5ubG8uXLjRDtB+z+fVi5Utd1ed8+KFYMypbV/evlpfvJlg00Gl3CGB8PsbEQHQ2HD+uW+dm7\nVzeBVd26ujV4c+Qw9lnpk9snq5cT2Oge45svoLJ35VS7nD59mipVqnDr1i0aN27MvHnzjBSsoiiK\nonwcDJbgDh48mPj4eFq0aIGIsGDBAmxsbOjSpQsA9vb2bxxEhkGqBFdRlP9p3LgxY8aO4deu5Wmx\n9SK9CwbiHVaF33//nf379xs7vA/Xgwe6JHf3bjh+HC5cgIsXISEBnreyZ80Kn3yiS3yDgnSJcLly\nYIDrxEv7X3KbsGYFgY3iGNnkF2rmq/nCbuPGjePs2bOcOnWKKlWq8O233xohWEVRFEX5eBgswfX0\n9NS33qYVRExMzBsHkRGV4CqK8m8rV69k//jWfHkwnhszf6VRn/5cunRJv/3x48dYG3od1Y+RVgvJ\nybrE0dLS2NH8t38kt0GN7/N9g8nU96ufapcrV67w7bffkpSURKVKlXB2dsbDw4P8+fMbKWhFURRF\n+TgYLMF9H6gEV1GUfzty5AjVa1anntttBv9tQejDZM4kPMXExIS4uDjy5s3LnTt3MDU1NXaoyvtA\nBAYMIHHlMoIax9O/7lia+Td7Ybc1a9ZQu3ZtHB0d2bFjBwULFjRCsIqiKIry8XlbOZ9ZRjuICEeP\nHmX//v08e/YMEUGj0dCjR483LlxRFOV1FS1alIoVKnL21g2W17rD5qUn2f7LTIo3asKRI0e4f/8+\n169fx83NzdihKu+DQYN49ttSSjR7RM8aw9NMbgEuXLgAQEJCgmq1VRRFUZRMKMMEt1OnTkRHR1Oi\nRAksLCwMEZOiKEqGTE1NmT9/Pk+ePME8izl9o23p1q0DO54kcDYhEdAlKyrBVfj+e5KWLKJ080S+\nqDyA1gGt0901JiaG4OBgbGxsVOu/oiiKomRCGSa4u3fv5uTJk+mOw1UURTEWExMTsmXLBsAZ23KM\nLrSFft99zaZSFcmaNSsXL16kbNmyRo5SMaphw0haMJ+ynyXT9NOv6BjcMc3devfuTb58+YiJiaFf\nv36Eh4cbOFBFURRFUd6GDBPcunXrMm/ePJo0aYLl+z6BiKIoH63iAcXZuO0uU4LP8fUfm0gpV4mL\nFy8aOyzFmH78keQ5vxDW2oQapdvRI+TFoTXbt2/HwsKCWbNmYW1tzb179xg6dKi+4kRRFEVRlMwl\nw0mmtmzZQv369Xn69Kk+wdVoNDx48MAgAT4vT00ypShKRtauXcuQkUMonXKY3n9lYUzF6nQbPYYL\nFy5Qrlw5Y4enGNLo0aRMnULVdlkILl6HHz794YVdRARvb29u375NnTp18PX1ZcCAAcTHx2NjY2OE\noBVFURTl42WwSaY6duzIunXrCAkJUWNwFUV5r3l4eHB472FMyhZndunzdN20ilUenmyJilIJ7sfk\np5/QTp5E7Y52FCxcnqEVhqa525EjRwCwtbWlTp06FC9enI0bN6rkVlEURVEyMZOMdnB1dSUwMFAl\nt4qivPc8PDwQEUoUKUG1Ub8zoUgKtaePJ+l/M+MqH4Hx49FO+JlGnRzJXaAEYyuNTXcOicWLF9Os\nWTNOnjxJ3bp1yZ07N3v37jVwwIqiKIqivE0ZtuAWKFCA0NBQatWqha2tLYBaJkhRlPeSra0tdnZ2\nFCtWjIB8AUQ8zQ/+UUw6GgXXroGrq7FDVN6liRPRjvuJFl1zY+2Vl8nVJ6eb3Gq1WpYsWcKmTZuw\ns7MzcKCKoiiKorwrGbbgOjs7U6dOHUxNTXn9lnTuAAAgAElEQVT06BEPHz7k4cOHhohNURTllVWr\nVo3Q0FAAmtVqxtwbDkwPFO6FBMD16wDEx8cbM0TlXZgyBRk9ms+75SHZzZVZtWZhokn/Erdv3z7s\n7OwoWLCgAYNUFEVRFOVdy3CSqeeSkpIAMDc3f6cBpUVNMqUoyuu4du0aGzZsYODYgXTxekKnM1nJ\nvucwnwQEEBkZSZ48eYwdovI2TJyIjBrFl739uOpgwfKGyzE3TftalZSUhLm5Od9//z2PHz/mxx9/\nNHCwiqIoiqKk5W3lfBm24P799980btyYvHnzkjdvXpo0aUJMTMwbF6woivKuubq68vnnn+Nh64F3\n9xlMK5jAvZIBmN65w/Hjx40dnvI2jB2LjB1Lj/6BnLfTsrTB0nST24MHD+Lr64uIcO7cOQoUKGDg\nYBVFURRFedcyTHCHDRtGrVq1iImJISYmhtq1a/PDDy8ut5CWXbt2UaBAAXx8fJgwYUKa+xw6dIjg\n4GAKFChA+fLlXyl4RVGUl+Hq6srYAWOZEpuDCd732GEJxzdupFOnTkRGRjJkyBBjh6i8juHDkSlT\n6NE/kBNZ4lnZeCWWZumv1z569GguXrzIpUuXiI6OxtfX14DBKoqiKIpiCBl2US5atChHjx7FxESX\nC6ekpFCsWLGXav0ICAhg/PjxeHh4ULlyZfbs2YODg4N+u4hQuHBhfvrpJ8LCwrhz506q7fogVRdl\nRVHeQNeuXZk+fTqzZs2ieY/mfOtnymf7Ugh7BtW++IK9e/fy559/GjtM5WWJwPffI4sW0a13IU6Z\nxbGu2TqszK3SfUliYiL29vaUKFGCTp060b59e6Kjo9O85iiKoiiKYngGWwe3Zs2afPXVV7Rq1QoR\nYf78+dSsWTPDAz+fxKVs2bIAVKpUicjISKpXr67f5/DhwxQuXJiwsDAAdaOhKMo7UbhwYbp27UpE\nRAQ2Njbcz3qfCcM/Y9duqDVnDudESElJwdTU1NihKhkRgW+/RVavpksff6JM41jX9L+TW4CLFy/i\n6upKhQoV2LRpExqNhpw5cxooaEVRFEVRDCXDLsq9evXC29ubfv360b9/f/LmzUvv3r0zPPChQ4fI\nnz+//rGfnx8HDhxItc/mzZvRaDSEhoZSs2ZNNm/e/BqnoCiK8t/atWvHyJEjAV2lXZNyTdhp4c+I\nKuZsSEok0NKSC2qt3PefCHz9NbJ+PZ17FSDKNI61TddmmNyCLsH18vKiePHiLF++HF9f33SXEFIU\nRVEUJfPKsAXX1taWrl270rVr17deeGJiIsePH2fr1q08efKE8PBwTp06RdasWV/Yd9CgQfr/ly9f\nXo3XVRTltZmbm/Pnxj8Zs3QMX2t6s2bLE86sWYN3jx7cuXMHe3t7/bAM5T2RkgKdOyNHjtCxhy/n\nefnkFuDChQt4enpSqVIlvv/+e6ysXu51iqIoiqK8Gzt37mTnzp1v/bgZjsENDw9n2bJl2NnZARAX\nF0fTpk0zbG2Nj4+nfPnyHDt2DIAuXbpQpUqVVF2U169fz86dOxk1ahQAjRs3pk2bNlSuXDl1kGoM\nrqIo74BWq2XFoRUs/SmCmetMsNn0O8V79GDo0KFUqlTJ2OEpzz19Ci1aIHdu83nbXFxMucuapmvS\nTW4jIyM5duwYX3zxBQAzZ85k3759+Pj40K9fP0NGriiKoijKSzLYMkG3bt3SJ7cA9vb23LhxI8MD\n29raArqZlC9evMjvv/9OiRIlUu1TsmRJ/vjjD548eUJcXBzHjh2jdOnSr3oOiqIor8XExIQGJRrg\nV6EfTWunkFizGo5HjxIdHc3EiRNJSUkxdojKo0dQsybapGdEtM3BJW3cfya3ABs3bmTZsmX6xyNG\njGDevHl4enoaIGBFURRFUYwpwwS3UKFCHDlyRP/48OHDL7124Lhx4+jQoQNhYWF06tQJBwcHpk2b\nxrRp0wDImTMnrVu3JigoiLp16/L999+TLVu21zwVRVGU19MirAUHT9hSv7EJv2hSMF+8mC5dunD2\n7Fljh/Zxu3sXwsJIzu1CzboJJJjJS3VLPn36NJcuXQJ0s/VfvXqVlJQUvLy8DBG1oiiKoihGlGEX\n5cjISFq2bImHhwegm6hj/vz5FC9e3CABguqirCjKuyUiuLu7UzmiMvtuzmLjIg1Tngr5Zs2idZs2\nxg7v43TtGlSqxNOqlQj3O4xHDk9m156NmUmGU0fg5+fH+fPnSUxM5O7du/j6+hIQEMDy5cuxt7c3\nQPCKoiiKoryqt5XzZZjgPnfo0CEAgoOD37jQV6USXEVR3rXmzZuzZs0awhqGEalZyYbFEOdZkAon\nToBaPsiw/vwTatTgcYfWlHNcT3HX4kysNhETTcYTfz179gxbW1usrKwYNmwYGo2GSZMmceLECQME\nriiKoijK6zJ4gmtMKsFVFOVdu3DhApGRkYSEhODp74l7O1t+XfiEMqVrovn1VyRLFkREza78rm3e\nDC1aEPfjYEL/j707D4/pegM4/p0sEkFQIiRBhFiC2Pct1tqipbQo2iqlVdVdlf6ottpaullqqbZa\ne6stqqholdr3JagtCWJLhCSWkGTO74+3k0lIiErE8n6eJw8zc+fec5eZc95z3nvm8gQ6lOvAqGaj\nMvWTPsnJyXz55ZeMHz+eggULsmfPHjw8PAgICGDJkiV3oPBKKaWU+q/u2CRTSin1IChVqhRdu3al\nZMmSFHQqyKctv6ZV2yTWndyMtUVzhj33XMpv6apsMnUqPPUU4V9/Qo240fQM7MmHzT/M9O/V7tq1\ni5EjRzJs2DB8fX25ePEi4eHhFC9ePJsLrpRSSqm7hQa4Sil1jcmTJ9OuWTtqRTTk9S7F+L5gJH2n\nf8W51atzumj3J6sV3noLxoxh09xPqLP/NUYGjeSthm/d0mqOHj1KnTp16NmzJyVLlqRFixY4Ojri\n4+OTTQVXSiml1N3mpgHuq6++Smho6J0oi1JK3RUef/xxXFxcaNGkBZ5rivFSwfO81y43b4WsgF9+\nyeni3V9iY+GRR2DdOn75ZjDtN7/MrE6z6Fml5y2v6ujRo5QoUQKAZ599lnHjxlGpUiUNcJVSSqkH\nyE0D3AoVKvDcc89Ru3ZtJk+eTGxs7J0ol1JK5bhWrVqxfOlyvmjxBZ7Pv0zrx5O5+kI/GDUKdF6A\n27d/P9SujfH15dP32/PS5pGE9AqhhV+L/7S6o0ePpqQjly1blsDAQD766CNatWqVlaVWSiml1F0s\n05NM7d+/n2+//ZbZs2fTsGFDBgwYQIMGDbK7fIBOMqWUyjlxcXG4u7tjtVpxreZK2eC8rF5cmIdK\nV4Kvv4YCBfjxxx8JCQlh8uTJOV3ce8eiRdCnD4mjPqB/kQ1sObGFX7v9SvH8//1+2a5du9KhQwe6\nd++ehQVVSiml1J1wRyeZSk5OZv/+/ezbtw8PDw+qVKnCe++9xwsvvHDbBVBKqbuZu7s7AA4ODpRK\nKMX/Wk+m5pMXWZMQxsWAANi+ndWrV7Nv374cLuk9IikJ3nkHBgwget43NLF8Q2xCLGt7r72t4BbS\npigrpZRS6sHkdLMFXnnlFRYvXkyzZs0YOnQotWvXBmDw4MEEBARkewGVUupuUapUKfLE5mFZrz+p\nEF6BLucMs1q2wCd/AZZmcqbfB9rRo9C9O+TJw/bF0+jwZ1+eq/4cQxsPzdRv3N589RrgKqWUUg+6\nmwa4lStX5v333ydPnjzXvbZu3bpsKZRSSt2NKleuzLp167BYLDTY34A/AvbTsqEzX3wehq/VARMT\ng+Whh3K6mHenn36C55+H117j2xaFeXNFL6YFT+OR8o/c8qp27NhBREQEjzzyCIMHD6ZTp054enoS\nFRWFl5dXNhReKaWUUveKTN2Du3XrVpYtW4bFYqF169ZUr179TpQthd6Dq5S6G+zbt4+mTZvyyCOP\n4OvrS3h4OP+4/cNWxzV8/J2F/i7FcPjmG2jx3yZJui9dvAivvw7Ll3P5u6/pH/0NmyM380OXH6hY\npOJ/WuXQoUMJDQ3ll19+wd/fn7Jly7J9+3aGDBnCwIEDs3gHlFJKKXUn3LF7cD///HMGDhyIi4sL\nuXLl4qWXXuLzzz+/7Q0rpdS9pkKFCjRu3JhZs2YRHBxM1apVWTthLY9auvPyUw583L0M5umnYNAg\nuHQpp4ub8/78EypXhkuX2Pv7LGrsfAELFjb33fyfg1uA0NBQwsPDuXLlCkePHmXFihU88cQTGtwq\npZRS6uYjuJUqVWLdunUpE63ExcVRv3599uzZc0cKCDqCq5S6O61fv54mTZpw5MgRuvfuTnTdaEiO\nYXVoVQrvOgBffgkPP5zTxbzz4uNh8GBYvBjrl5OY6BHOu3+9y9hWY3m66tO3vfoyZcoQFRXFunXr\n6NSpE2PHjiUoKIh8+fLdftmVUkoplSPu2AhumTJlOHjwYMrjw4cPU6ZMmdvesFJK3evq1KnD5s2b\n8fHxwbeoL/ve20f8dmdKVFnNDwOaYvr3hyefhDNncrqod4YxMHcuVKgACQkcW/sbLWM+Y/ae2ax7\ndt1tB7eTJk3i4YcfJjIyEmMM69evp3z58gQHB2twq5RSSingBgFucHAwwcHBxMfHU7t2bQIDAwkM\nDKRmzZrEx8ffyTIqpdRdycHBgSpVqgDg5eVFpUqV2PLNFly/d2Vs7j081CqSo65WqFgRxo2DK1dy\nuMTZKDQUmjeHjz7COmc2019sQPV5zWhRqgVrnllD2UJlb2v1J06cYOjQoVy+fJly5crh5+fHsmXL\nKF++fBbtgFJKKaXuBxmmKK9atUoWSGeo2GKx0KRJk2wvXOrtaYqyUuputmXLFuLi4mjWrBm9evXC\nYJgZOpO8j+TlveLdGfjjMRz/OQCjR0PHjnC//KxQZCSMHCmzJA8fTminRjy/fCAJSQlMC55GlaJV\nsmQz69at47XXXmP+/Pns3r2badOmsWLFCqZNm0a3bt2yZBtKKaWUyjlZFfNlahblnKYBrlLqXjJl\nyhQGDhxI5cqVOZ90nmpvV2PH6R3MyNuD+p/9hCV3bsw779Bs7FiWLluGq6trThf51sXEwMcfw1df\nQZ8+XHhlAB+EfslX275iZNBInqvxHI4Ojlm2ublz5/LTTz8xf/58QH6jffXq1WzcuBEnp5v+4p1S\nSiml7nJ37B5cpZRSt6Zhw4YkJibyyiuvUNarLFUPVuXLdl/SL+FHWrxSiPBnO5P85puM/usvzs2Y\nAVZrThc5844ehVdegTJl4Px5knZsY0oXP8rOqsux2GPsfn43z9d6PkuDW9nsUUqUKJHy+I033mDx\n4sUa3CqllFIqDQ1wlVIqi1WoUIGiRYtSr149PvzwQ77//ntalm7Jjv476FL5CerGjeORl0vyYV7I\n++mnULYsfPopnD+f00VPnzGwYQP07AnVqoGjI9adO/jllTZUXtSaeaHzWNxtMTM7zaRo3qLZUoRr\nA1wvLy+8vLyyZVtKKaWUundl6ndwM/OcUkop4eDgwOHDhyldujTlypUjIiKC5ORknByc6F+zPwcG\nHqCgKcTPz0ObvoUIH/8+bNkCpUrBM89ASAgkJ+f0bkBUFHzyCVSqJMFt5cokHfyHWb2qUeXXdoz8\nayTjWo1jZa+V1PCqka1FuTbAVUoppZRKz00D3G+//TZTzymllLJzc3MDIHfu3Hh4eLB//37Onj0L\ngLuLO3Wu1oEvIG9CPuqEDqJN2xhWLpmAtVIleOst8PGBQYMk2E1IuHMFP3oUvvgCmjaVNOQdO+DL\nL4nZuYHPGuei3Mw6TNk6hTEtx7D1ua209W+LJQsnzDLGpHv/jQa4SimllMqMDG9emjNnDrNnzyYs\nLIzg4OCU56OioqhYseIdKZxSSt0PSpcuTd++falUqRJTp04FJGDzLOBJuTPl+GXcL8zbM483N31C\nXK44+nzWhx65auG97G945x35CZ5GjaBZM6hVC6pXh7x5b79gxsCxY7B2LaxeLX+nT0P79vDyy1hb\nNGf92Z1M3TaVhV8spK1/W7579DsalGhw+9tOZe3atdSvX58TJ04QFBRErly5WL58OT4+PgAkJSUR\nHh5O8eLFs3S7SimllLr/ZBjg1q9fn2LFihEVFcXrr7+e0qNesmRJSpUqdccKqJRS97oyZcowffr0\nlFFdkAC3fv36HD9+HFcnV56q+hS9qvRi/fH1fLfzO6rsHUOF4hXo+nkPgj0aUGLLQfjrL/jhB9i9\nG0qWhPLlwc9PUptLlID8+cHdXf4cHCAxUf4SEuDMGTh1SgLYw4claA4NBVdXqF9fAug+fbAGVmbd\nyU38uPdHFkx9kXy58tG7Wm/GtRpHYbfCWX5sjDG0bt2aHTt2sGfPHvz8/GjUqBFdu3ZlwYIFPPXU\nU7i4uFCtWjUKF8767SullFLq/qI/E6SUUtnsww8/5O2338bPz4/Dhw8DUK9ePTp16sSCBQvYsGED\nAOf/nWSqQIECXE2+yvJDy5m/dz7LDy2nYO6CtC7TmqCSQdT0qILPsVgshw5BWBgcOQLHj0NsLMTF\nyb9WKzg7y5+rKxQpAkWLyp+vL1SsCBUrkvRQAfZF7WNV+Cr+DP+TvyL+wiufF10CutA5oDMBHgHZ\nemyioqIoUqQI69evZ9u2bezatYuJEydSr1499u3bR58+fTh48CDjxo2jXLly2VoWpZRSSuWcbP8d\n3AYNGrB27Vry5s173f1VFouFuLi4m6589erV9OvXj6SkJF566SUGDhyY7nKbN2+mXr16zJ8/n06d\nOl1fSA1wlVL3sN9++40vv/yS33//nUuXLuHg4EDhwoVZunQpjz76KCdOnADg7bffBmDUqFFp3m81\nVnac2sHyQ8v5+9jfbDmxBWMMNbxq4P+QP74FfClVoBRe+bzI55KPfLnykTdXXgyGK0lXuJJ8hYtX\nL3LywklOxJ8gMi6Sf87+w+4zu9kXtQ8fdx8al2xMU9+mBPkG4e3unW3H4vTp0xw7doyaNWsCsGnT\nJurUqcOiRYtYv349bm5uDBs2jFOnTpGYmKhpyUoppdQDIqtivgxTlGfPng3AhQsX/vPKBw0axJQp\nUyhZsiQPP/ww3bp1uy7FLDk5mcGDB9O6dWsNYpVS96W2bdvStm1bvL29iYyMJDk5mdy5c1OzZk2c\nnJz4+uuvOXv2LBERERhj2L17N35+fuTJkwcAB4sD1YtVp3qx6oCk9UbGR7Lt5DaOnDtC2Pkw/or4\nixPxJ7hw9QLxV+KJvxqPg8UBF0cXXJxccHN2wyufV8pfwxINeb7m81QsUpG8ubLgft5MWrhwIYsW\nLeLXX38FICwsDJCR3OPHj9OsWTMAihbNnp8bUkoppdT9LcMAt2PHjmzbtg2Axx57jAULFtzSimNj\nYwFo3LgxAK1atWLjxo20a9cuzXLjx4+nc+fObN68+ZbWr5RS95pSpUrx8ssv4+PjQ82aNXFwcODJ\nJ5+kT58+VKxYkYceeojk5GT69etHr1696N+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bb0rgfPo0dO2a/ghxfLy8bqtojxyRwOnA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+NDy5YtAe6a3IqIPKzmzaFKFejj3whTvpUM2NiOuLqBONo7suyXzzFhIi4O8ue3dqRiKX+c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\nKyIiIiIiIjnhb7rbgD54wKACAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Different numbers of components (clouds)\n",
"------------------------------\n",
"\n",
"With the above example we see that it does a good job of finding *an* acceptable fit to the data. But we explicitly hard-coded 2 fitting components.\n",
"Trying again by explicitly fitting three we get: "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fitComponents = 3\n",
"\n",
"estimated_variables = {}\n",
"for component in range(1, fitComponents + 1):\n",
" estimated_variables[component] = {}\n",
" estimated_variables[component]['height'] = mc.Uniform(\"est_height_\" + str(component), height_lower, height_higher)\n",
" estimated_variables[component]['centroid'] = mc.Uniform(\"est_centroid_\" + str(component), wavelength_lower, wavelength_upper)\n",
" estimated_variables[component]['sigma'] = mc.Uniform(\"est_sigma_\" + str(component), sigma_lower, sigma_upper)\n",
"\n",
"#std deviation of the noise, converted to precision by tau = 1/sigma**2\n",
"std_deviation = 1./noise**2\n",
"\n",
"estimate_profiles = []\n",
"for component in range(1, fitComponents + 1):\n",
" @mc.deterministic( trace = False) \n",
" def func(x=wavelength_array, \\\n",
" centroid=estimated_variables[component]['centroid'], \\\n",
" sigma=estimated_variables[component]['sigma'], \\\n",
" height=estimated_variables[component]['height']):\n",
" return GaussFunction( x, height, centroid, sigma )\n",
" estimate_profiles.append(func)\n",
" \n",
"@mc.deterministic( trace=False )\n",
"def mean(profile_sum=estimate_profiles):\n",
" temp = profile_sum[0].copy()\n",
" for component in range(1, fitComponents):\n",
" temp += profile_sum[component]\n",
" return VoigtAbsorption(temp)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"observations = mc.Normal(\"obs\", mean, std_deviation, value=flux_array, observed = True)\n",
"trymodel = mc.Model([estimated_variables[x][y] for x in estimated_variables for y in estimated_variables[x]] + [std_deviation])\n",
"map_ = mc.MAP( trymodel )\n",
"map_.fit()\n",
"\n",
"trymcmc = mc.MCMC( trymodel )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"starttime=datetime.datetime.now()\n",
"trymcmc.sample(iter=10000, burn=6000, thin=2.0)\n",
"fit_time = str(datetime.datetime.now() - starttime)\n",
"print \"\\nTook:\", fit_time, \" to finish.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \r",
"[****************100%******************] 10000 of 10000 complete"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"Took: 0:00:12.997390 to finish.\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fit = {}\n",
"fit['total'] = np.zeros_like(wavelength_array)\n",
"for fitcomponent in range(1, fitComponents+1):\n",
" fit[fitcomponent] = GaussFunction(wavelength_array, estimated_variables[fitcomponent]['height'].value, estimated_variables[fitcomponent]['centroid'].value, estimated_variables[fitcomponent]['sigma'].value)\n",
" fit['total'] += fit[fitcomponent]\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f, (ax1, ax2, ax3) = pylab.subplots(3, sharex=True, sharey=False)\n",
"ax1.plot(wavelength_array, (flux_array - VoigtAbsorption(fit['total'])) / onesigmaerror)\n",
"ax1.hlines(1, wavelength_array[0], wavelength_array[-1], color='red', linestyles='-')\n",
"ax1.hlines(-1, wavelength_array[0], wavelength_array[-1], color='red', linestyles='-')\n",
"ax2.plot(wavelength_array, flux_array, color='black', linewidth=1.0)\n",
"for fitcomponent in range(1, fitComponents+1):\n",
" if fitcomponent == 1:\n",
" ax2.plot(wavelength_array, VoigtAbsorption(fit[fitcomponent]), color=\"green\", label=\"Fit\")\n",
" else: \n",
" ax2.plot(wavelength_array, VoigtAbsorption(fit[fitcomponent]), color=\"green\",)\n",
"ax2.plot(wavelength_array, VoigtAbsorption(tau_array_one), color=\"red\", label=\"Actual\")\n",
"ax2.plot(wavelength_array, VoigtAbsorption(tau_array_two), color=\"red\",)\n",
"#ax2.plot(wavelength, profiles[2]['flux'], color=\"red\")\n",
"ax2.legend()\n",
"ax3.plot(wavelength_array, flux_array, label=\"Measured\")\n",
"ax3.plot(wavelength_array, VoigtAbsorption(fit['total']), color='green', label=\"Fit\", linewidth=2.0)\n",
"ax3.legend()\n",
"f.subplots_adjust(hspace=0)\n",
"ax1.set_title(\"Toy Example fit took: \" + fit_time)\n",
"ax1.set_ylabel(\"Residuals in sigmas\")\n",
"ax2.set_ylabel(\"Fit by component\")\n",
"ax3.set_ylabel(\"Total fit to normalized flux\")\n",
"ax3.set_xlabel(\"Wavelength (Angstroms)\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 17,
"text": [
"<matplotlib.text.Text at 0x113be21d0>"
]
},
{
"output_type": "display_data",
"png": 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SiMlkUk1zx44dJCIigiQlJbn9/fTTT+TQoUMkNTWVnDt3jhBCI/Gmp6eT2bNnE0II+fnn\nn8mgQYNI48aNycMPP0ymTZtGxo8fTwihEW4jIiJcUXwJIaR169bkl19+cX0fN24ceeeddwghNIry\n4MGDyeuvv05atGhBHnzwQXLixAnXsfIoyjt37iSTJ08mTZo0IW3atCGTJ09WvcaIiAjXNcjvo8lk\nImPHjiUtWrQg/fv3V/z9tm3byJAhQ0hqaiqZM2cOIYSQgwcPkgkTJpC2bduSf/zjHyQ/P991fF5e\nHnnttddI27ZtycSJE8mhQ4dc+yZNmkRmzJhBCCGkqqqKTJgwgdxxxx3EarWSJUuWkO7du6teh8Ph\nIM8//zxp3rw56dy5M5k/f77b/u7du5OlS5e6vufk5JChQ4eSlJQUMnToUHL27Fm347/88kvSqVMn\n0rx5c/L888+7PatnnnmGPPPMM67vM2fOJDqdzu3vrbfeIoQQMmvWLKLT6dzKT3Jysuu377zzDrnr\nrrtc31955RWSmppKmjZtSsaMGUOuXLni2ldRUUF69epFEhMTyfXXX0/effddj/uwdOlS0r59e4/t\np06dIgMHDiTJycmkU6dO5OWXXyZHjx517c/OziZdunQhiYmJpFevXuSrr77y6/5yOBwOp+bRERLE\nhfo4HA6HU6f55z//ibNnz2LRokXhzopPFi5ciAULFvB1RzkcDofD4biICncGAOrGNGDAALRu3RqZ\nmZnhzg6Hw+Fck5SWlmLevHlu0Xs5HA6Hw+Fw6hK1Yg7uf//7X3Tr1s3nUgIcDofDCQ1ffvklunTp\ngieeeAK9evUKd3Y0wdam5XA4HA6Hw2GE3UU5Pz8fkyZNwhtvvIEPP/yQW3A5HA6Hw+FwOBwOhxMQ\nYXdRfvHFF/HBBx9Ar9erHsNH6DkcDofD4XA4HA6nfhMM22tYBe7atWvRtGlT9O3bFzt27PB6LI+F\nxeHUPLNmzcKsWbPCnQ0O55qDv3scTvjg7x+HEx6CZdQM6xzcvXv3Ys2aNejQoQMeeeQRbNu2rVpr\nL3I4HA6Hw+FwOBwO59olrAJ39uzZyMvLQ25uLr777jsMHz68TixNweFwOBwOh8PhcDic2ketiKLM\n4HNtOZzaRUZGRrizwOFck/B3j8MJH/z943DqNmGPoqwFnU7H5+ByOBwOh8PhcDgcTj0lWJqvVllw\nORwOh8PhcDgcDofDCRQucDkcDofD4XA4HA6HUy/gApfD4XA4HA6Hw+FwOPUCLnA5HA6Hw+FwOBwO\nh1Mv4AKXw+FwOBwOh8PhcDj1Ai5wORwOh8PhcDgcDodTL+ACl8PhcDgcDofD4XA49QIucDkcDofD\n4XA4YWXHDqCqKty54HA49QEucDkcDofD4XA4YWX8eODChXDngsPh1AfCLnCtVisGDhyIPn364Oab\nb8ZHH30U7ixxOBwOh8PhcGoQux1wOsOdCw6HUx+ICncG4uLisH37diQkJMBms6F///4YPXo0OnXq\nFO6scTgcDofD4XBqALsdcDjCnQsOh1MfCLsFFwASEhIAAEajEQ6HA7GxsWHOEYfD4XA4HA6npuAW\nXA6HEyxqhcCtqqpC79690axZM/z1r39FmzZtwp0lDofD4XA4HE4NwS24HA4nWITdRRkAIiIicPTo\nUVy4cAGjRo1Ceno6+vbt63bMrFmzXP9nZGQgIyOjZjPJ4XA4HA6Hwwk6VVVU3HKBy+FcW+zYsQM7\nduwIero6QggJeqrVYNq0aejUqROeeeYZ1zadTodalk0Oh8PhcDgcThCw2YC4OGD/fmDgwHDnhsPh\nhItgab6wuyiXlJSgoqICAFBaWorNmzfjvvvuC3OuOBwOh8PhcDg1gd1OP7kFl8PhBIOwuygXFhZi\n4sSJcDqdaN68OaZNm4YWLVqEO1scDofD4XBqAXY7UFICtGwZ7pxwQgUXuBwOJ5iEXeD27NkThw8f\nDnc2OBwOh8Ph1EK2bAHmzQNWrw53TjihgglcHkWZw+EEg7C7KHM4HA6Hw+GoYbPRP079hVtwORxO\nMOECl8PhcDgcjhsVFcDYseHOBcXh4Ja9+g634HI4nGASkMC18aFUDofD4VyDXL0K3HtvuHMRekpL\ngd27w50LSn1fPqZzZ8BkCncuwgu34HI4nGCiSeA+8sgj0Ov1cDqdGDhwIDp37oyvvvoq1HnjcDic\nes3gwYAghDsXHH8oKQGOHAl3LkJPbbKaOp21Jy+hIC8PqKwMdy7Ci5LAraqq38+dc+1y6hSwcWO4\nc1G/0SRwT548iQYNGmDlypXo378/srOzsWDBglDnjcPhcOo1+/cDFku4c8HxB4cDsFrDnYvQU5sE\nbn234DocgNEY7lyEFyUX5UWLgNdeC09+OJxQsmMH8N134c5F/UaTwE1ISIDZbMbixYsxbtw4xMXF\nwWAwhDpv1eLqVV54ONWjuJiLD07oIIR25rgFt25xrQhcQahdAre25CXYsHqAuyjTT+lARnk5t2xz\n6idWq1jmOaFBk8CdOnUq+vXrh+TkZAwaNAgXLlxASkpKqPNWLY4cAb74Ity54NRlXnkF+P77cOeC\nU19hHTneyNUtHI5rY+CrNllN67PAZQNcXODST2mZs9v5ACCnfmKx+C7bFguvF6qDJoH76KOP4vTp\n01iyZAkAoF27dti+fXtIM1Zd6vucnWBw66186QVvWCxAUVG4c8FRwukE5s8Pdy6qB2vceAeubsGE\nX20Rf6GiNolKp7P+3m92XdxFmX5Ky5wg1N/nzrm20WLB/fxz4J13aiY/9ZEorQeeOXMGmzZtQnl5\nOXQ6HQDgzTffDFnGqkttapxrI4JA5wCYzUBsbLhzUzsRBKCsLNy54Eh5+WXg6aeBpCTgpZeAJ58M\nd44ChwvcugnrcFuttBzWV7iLcs3ALbgUNQsuF7ic+ogWC67RyF30q4MmC+7s2bPxyiuv4P3330dF\nRQUWLlyIolpu2qrPI77BoKKCfvJ7pI4g0KUyOLWHX34BLl2i5beuC0OWf+6iXLdgz62+z8OtTaKy\nNuUl2HALLoULXM61hBYLriBQIxQnMDQJ3JUrV2LlypVISUnBRx99hF27duFIkNZJyMvLw6233oru\n3bsjIyMDS5cuDUq6NdUg/vwz8O67oT9PsGGWSd54qMMFbu1Dr6fPpbKy7pddbsGtm0gtuPWZ2uQe\nWp8HrLkFl8JdlDnXEhaLNoF7LcR7CBWaBK5Op0NkZCRuuOEGnDhxAikpKSgLku9mdHQ0PvroI2Rl\nZWHFihWYPn26zwjNWhqCmpqDe/IkcPx46M8TbMrL6SdvPNRxOK4dF+XFi4GLF8OdC98YDLTSr6ig\nz4eQcOcocLgFt27C6sxgdDzs9tpruWPXWVUV3nwA9duCy+qB2loOagoeZIpzLWG1+i7b3IJbPTQJ\n3NGjR6O8vBzPPPMMHnjgAXTp0gXPPvtsUDLQvHlz9OnTBwDQuHFjdO/eHYcOHVI9vqwMuOEG3+nW\nVBCQioq6GaiJCbdrpfGwWICPPvLvN9eSBXfJEuDXX8OdC99ILbiA+I6Xl9e9wQiW92vlHawvBNOC\nu2RJ7V3nk11nbRCWoRC4f/87cP58cNMMBHafuQWXfnIXZc61gBYLbm2O2F9SArzxRrhz4R1NAnfG\njBlITU3FyJEjcfr0aZw/fx5Tp04NembOnj2LrKws3HTTTarHGI1Afr7vTmGoLLjyTk1dF7jXSuNR\nUAB8/LF/v7mWgkw5HOK87NqKw0FHM6V5ZfXAf/4DfPKJeKzTSQNS1RSVlUB2tn+/4S7KoWPTJuD1\n10OTdjAFrl5fe0foWbmsDQI3FC7Ku3YBubnBTTMQuAWXwl2U6y55ecDdd4c7F5TTp4Hly8OdC9/U\ndQvuhQvATz+FOxfe0RRFmRCCw4cPY9++fbDb7SCEQKfT4aWXXgpaRgwGA8aOHYuPPvoIiYmJHvtn\nzZoFgAmODJSWZqB5c/X0QiVw09OBFSuADh3o98rKuilwrzUXZafTfyHBLLiEAH8EDq+31AWBy2Yu\nSC247JleugS0aiUeazLRAY05c2omb6tXAxs3Av6EELhWXZT1ejr627Fj6M5x8SJw7lxo0vblouxw\nUMvso48CMTHe07LZaoeAVKK+W3Cdztoxj5rPwaVwC27d5cqV2jNV78ABYM0a4MEHw50T79T1Obg2\nW/AG53fs2IEdO3YEJzEJmgTuc889h5ycHAwcOBAxvlrsABAEAWPGjMH48eNx3333KR7DBO6JE8D/\n/gcUF8OrwA2Vi3J5uftIa0WFciMpCHR0Y+zY4OchGFxrFlyn038hIQj0JTabAYUxl3oFm9dam9Hr\n6ac0r6yCzc8HmjYVj7Va6dxBpxOIjAx93rRERJRzrVpw2WDAt9+G7hzM0h8KfEVRzssDHn8c2LKF\nCl1vWK21Q0Aqwa6zNrQRoRC4DkftELg8ijKFz8Gtu5jNtaf8BhLXYPBg4Pvv3QfJQ01dt+AG0udR\nIyMjAxkZGa7vb731VlDS1SRwd+3ahePHj7vWvw0mhBBMnjwZPXr0wN/+9jefx7MbWlzs/bhQWXDt\ndvd01Sy4Fy8Czz9fewUus+BeK42HwxGYBReggwH1XeDWVQsu6wzl5wM9e4rHsnfSZgMSEkKfNy2N\nlZy6JHAdDiBK86rp3hGE0FutzebQ3VdfLsrs2k6f9p0Wt+BqIxQuyt4Erl4PxMX5tsAHA27BpSi5\nKHMLbt3AYqHtcyDeboQA48bRQJcRmiZNesdu9/9dys+nXkU1LXDrsgU3kD5PTaOpOP35z3/GokWL\nYAuBL+6ePXuwZMkSbNu2DX379kXfvn2xceNG1eNZFnwJXDbie+QIcPBg8PIr75CozcG12+m+2hrl\n1V8LrtFYO+YrBUogLsoOB+3gXAuBpuqCwFWz4BJC51hLGwvWca0p91+bLXALbm13Ua6qog1/sOqy\nQLwp/KUmBK5ax4O1B1qu0WarvR342iRwa9pFedo0atGpCUIZZOr554Effwx+uqHAbqeDCtL3gc/B\nrRswj5lAJIIg0Kk9bNC6ugQicO324ApJh8P39Vgsdd+CW9sFrqYx+SFDhmDMmDF46qmnEBsbC4Au\nHaRnPc5qMHjwYFT5sQ6BVoHLRnzXrKEF6cYbq5FJCfIRxYoKIDpaOZ/spakJC5K/+DsHd/VqIDMT\n+O670OUplAQ6B7dp02sj0JQgiGWitsKqG2njwfItbyxYx7Wm5sfXZwuuIABFRfQzGBatQLwp/CXc\nFty4OG3nrwsuyrUhf6GYcuTNgms0ih4joUYQqNUrFC6eRUV1p/2y24H4eD4Hty7CRJjBQOu+QH5b\nWgqkplY/L/64KE+ZAowcGXxL6bp1dArODz+oH1MfLLi1fXBekwX32Wefxdq1a2E0GmEwGGAwGIIi\nbgOB3dCiIu/HsRFfrQ1jWZm2h6XVRZmlJbeK/eMfNPpYuCkro3MTtTYelZW1vzB7g5UFf6xQggA0\naFA3g4j5S1224BYUiP8z/LGiBYNABC5792r7e8XyF6x8Ohyeaa1dG9z1VsMpcG02IClJ2/nrgoty\nbRAYahbcqipg7tzA0/Q2SFFT83MFAUhJCY0FN5iBYEKN3U6NAXIX5bqS/2sZJsICGaRhvw3WQIw/\nFtySEiqsg/2+Fxf7HiDTGmTKbK6dnqB1oW7RJHBbtWqFfv36hSTAlL/4suDq9UD//uIcXK0Cd+pU\naqX0BiHuHRJCvLsoA55Wse3ba8fae+XlQOPG2guowRC+js6ePdVPgz0zf65BEOjc22tB4NaFIFPy\nObg6Hf0/P59uV3JRrqlnF0hl748Ft6rKt9dKqAi2K7WSN8XkyeJARTAIZZApXy7Kdrt2gVubLbi1\nyUVZLaaGwQAEupiDNxdlQag5getwAA0bhsaCW5cEIhO43EW57iG14PoLq0eDNRXMm8CVv2MsHkSw\nLaValg/VGmSKkNo5CF4XXJQ1CdyuXbtiyJAhePPNNzFnzhzMmTMHH374YajzpojdTju2ap297Gzg\n5En/LbhGo+8OvtNJC5t0zozT6Z8Ft7YsTWCxUOuk1sZDrw9PYSYEGDKk+veMXac/1yAItKNaGyuX\nYFMXLbiNGtH/Cws9BUVdsOD6I3D37gUeftj/fAWDmrDgBtuSGW4X5cTEuj8Htzouys8+69vLyh/U\n2nFWlgLow0aEAAAgAElEQVSx/nuz4LII+sHCaKSrP6idq2HD0Flw60r7xV2UQ0ew5rdKOXFCfEeY\nOKyOwFWy4L77rv8GIZuNvm9yq2dREdCnj/s2JnB9zcF97TXg6lXtedCyfCiz4HqzzrI6uDbOw2WD\ns8H0vAo2mgRuixYt8Kc//QmRkZFubsrhwGajywOpCdycHFoopOJWSwUpCL5HUOVR/ioracdaqSCz\nbXILrtNZO3zqrVaad62Nh8EQHoFbVUUrgOo2/uyZ+StwrxULLhO4hACLFoU7N8ro9TTKIrPgpqXR\nfFss1MUvnHNwQx1kymQKrJMyahRdo7A6hELgyt9D+dSP6hJKgetrmSB/XJSDZcGdOzf48RGqY8Hd\nsoUOPAU7L/LOFMtbIAOgvgRuMAeiX32VBnxSO1ejRvT9zs0F/vvf4J03UDfC7duBV14JXj60oOai\nzAVu9cjJASQrsASNqVOBnTvp/0yABdtFecMG4MwZ77+//373AKhswEve9uv1nv1xFhjLV788M5Ma\nzrTia0pfVRXdHxEBHD4MXL6sfBwr+7VV4ALK9YvNBlx/vbZ0QqmHNAncWbNmYdasWZg5cyZmzpzp\n+j8c2GxAs2bq1qacHFHc+mPBZW4NDgfQvbvyb9gLw/ZVVNC8+GPB9dao/vADcPSo+7a8PODLL33n\n31/8Fbh6ffAamr/9jVYYWmCNXXXdtwIRuA6HdktMXcFsBoYN89zOXHQqK+kanrVxzodeT4NQMFHb\noIFoaamOBffiRbpmdXUItQU30GiKWVnVFxqhcFFWsuAGsyMbagtudHRwXJSDZbk+dQo4e7b66Uip\njgVXELxf/8cf++dyz/Igz4sva7qvNGtqDu5nn6nvYy7KMTE0OE116yIpgQrcS5eA48eDlw8tqLko\n13Y3yNpOZaXo/aREVRWwY4f7tg0baN/TG8xSCgTHgqvkouxw+G73srNpG85gbYvcKKIUFEkQxOO8\nve9Op38eKb5clK1WGowrNhZ4/30aDFcJVvZrg1FMDrs+NYF79qzvfuTvvwO33x78vDE0CdzRo0fj\n3nvvxejRo13/v/DCC9i0aRPsNdz7t9uptUatMObk0E/WcWAC98cfvb+wzIJ76RIdqVG6LCULbuPG\nNH35yLLaHFxvI0WrVgG7drlvO3QI+OYb9XwHChMFgVpwc3OBZcv87/xYrXSEeutWbcez/IVD4DIX\n5fpkwTUagd9+89zucNDRxNJSWpaDPWr+xBPAihXVS8NgoJYOq5VWnPHxoouR3JXcHwvu/v3AV19V\nL2+hnoMrbYj9weGo/rsTagsuqz+DbcEN5Rzc5GTfLso1KXAtlsDrqcuXgV9/9dxenSBTzO1Pja+/\nBvbt056eWl6qI3Br0oIL0PpK7VxRUUDr1vSeBPO8gc7BtVpD49bqDe6iHBp8DdacPw9MmuS+7bPP\n6LQYX+ky8RmMObhKFlw2mO0Nh8O9n83qHXm7Z7V61pHSdtXbeRwO/wSuLxdlJnCjo6kYVmsDaruL\nMqBcv7CArr7e3StX/HP99hdNArd79+5wOp144IEHMGbMGFRVVUEQBHz11Vf497//HbrcKWCzaRO4\nVqsobgUBWLCAikVGbi61ZLERBmbBZaPgSg9NLnANBmpFionxLMyBWHCtVs/jKyqUR98+/DDwDich\nogU30CBT48cDjz7q/9q4LJBX69bajvcmcM+f155/9sy03jP2ctY3C65ah8HhoC6/JSX0e3U6WVVV\n7u6SDgft0PpqMH1RUQE0aULf09hY2jgwC25ycuAWXKu1+iOk1bHgasljoBZcQaj+ciehnoPL/q9L\nFtykJO/r4Gqdu8/aqepiNgf+zm7apOwWy/J15Ajw+ef+pelLWNntYlutBTV3aV8Bv7xRU0Gm2OC3\n2lw15hHABG51BlTl73qgFlybLTwCl7soBx+bzXuZYoPEUlh8GW9IxaHZTJ/d7t3+eyBIlwlSOoev\ndk8Q3MWxNwsuC9ok/a3cCq1EKARufDzVDuXl3gVuVFTttOCy+lGpnWPvrK+6rLIytPWMJoG7adMm\nLF++HBMnTsSkSZPwww8/YN++fVi4cCF+rOFVxH0J3Oxs+mm10gaFReGTd6rOnaPzB5Yupd9ZQfcm\ncOUuynY77WjHxno+yEDm4FqtnseXlysL3HfeCXxuHXtpYmMDDzLF7r+/ViU2j0FrI+7NRfmppzxd\na9TwN8iUw0GXUVJ6tnUZtQ4DC3TCKpvqdO5KS2lUXAaz1msd1FCjpARo0YKWBbnAlVvM/LHgWq3V\n78xWZ5kg6e82b6Z/cuqTwJVHUWbPqKbm4MqDluzdqz4HSgmtFlwWlNAbwbTg+lOGnU5g1iz6v5q1\nld2/o0eBn3/2Lz/+CNySEmpB+s9/vOdX+skIlQXXbg9eve8rgr8giAI3NzfwuqigAOjRw32bN4G7\nZQt1iVbCavXu1hoKgh1F+dgx4L77gpO3uoyvsqwU9M9o9F0vSaMVWyxA06bUq+/7792PmzfP+zO0\nWGh9GmwLrpLABTy9h7RYcIPtomyxaLfgpqQE14L7ySfBGTTyZcEFfNehen1o6xlNArdRo0Y4I5np\nnZ2djdTUVMTHx0On04Usc0p4c1EuLaUFpWFD99EFZsWVvsROJ43GzBpV9rKyRleLBddmoyMwSiLI\nbhcLrxRvjarF4nm8msC12QIPvMTcI6Ki/HNRlrsOJSb67/5os9Fza+08eLPgms3aO+9yF+XCQs/B\nBCms0xEbW/8suEodb4eDPhd2rf50sn7+mY7cMpgYYxYL5opY3ftYUkIDzCkJXLnFjJUvrQK3uiOk\nwQoytXOnGLhDfmwg6+EFQ+AGew6uvEMlHzjUwoEDwLffqu9XE7hHj3oGXHnnHWrF1Aqz4HoTR7Gx\ntH71NegRrCBT/room0zA7Nn0f2nb+N134nw2qXj0t0OkReCyweQTJ2j98c476u2Jmosyu3dq7690\nbp5SmjVhwXU6aT9BbcBD6qIMKJ/39tt9v8dnznhaQ7w9h927gW3blPeFy4Kr5KIcqCdGSUn1A+xp\n5cgRz+llcgyG0ETK9oWSBXfyZNGjSinoHxO4Op26p4V00NVspvFoLBbPftUrr3h/DhYL0KqVusCV\nirv8fM8pe1pclB94QMyD9F5onYMbiAXXW3spteBqEbgWCw0YmZWlPQ9qvP56cNYc9jYH1x8LrtLc\n6GChSeDOnj0bEyZMQO/evdG7d29MmDAB77zzDkwmEyZOnFitDDzxxBNo1qwZevbsqel4m426BSs1\naDk5QOfOtOPLCitrnFmwAqeTNhZ2O3DnnbTQZ2f7Z8GVurvGxoqCrbDQ3drRrFn1LbgVFbRilDeM\n3tb68oXVKnbAArXgCgIN+BOIwG3QIDgC124Xt5tM3udRygXu++9Tt3V5evv3i8dFRyu7n9dl1NxB\nmcBl18qsmlrmR2za5N5Rks8bsdupNby697G0VBS4MTH0+bAoiHIXZW/uM3IsFuV30p9KN1hBppTc\nxaTH+NvplrpgBUqo5+DKBw618Ouv3ufxqwncvXs9R8Pz89XFw6VLnrEb2Nx8by7KrHz6KhNyC+7q\n1YEJK38tuOwZECKWObOZLu/DBqSkAtefZ8PWbdRqwTWbacTNoUNpoEW1/AL+W3AHDVKvw2rKRdnp\npPVfZKTyfZS6KAPK9eSBA74F57lzysHb1J6DtP2UY7Vqs+IFE60uylrrM7W6NBSsX+87xsR779Gp\nZTUNexelLvKnT4uCTek+SZ/94cPq6cotuIB7H5YQ+n57s9JZLLTsqwWZktazx455rvLgcLgLNpuN\nCnNp/3jXLlqXs3wzwuWizCy4WgRugwb0HhYWilPIAoU9j2BM3wmWi7L0M9hoErgDBw7E8ePHsW7d\nOqxfvx7Hjh3DLbfcgsTERPztb3+rVgYef/xxbNy4UfPxrDPLoiRLURK4LDonsxqYzdTixEZQHniA\nzhmQz8FVEn5ycSC34D77rOjKxaI9Kwlcb3NwlVyU5SPNrFMSDAuuP3Nw5Z3S1FT/88BczIPhoiyN\n4nf2LOBtOrhc4CrNd/79d+C55+j/rNNRHy24gHv5ZiO10dHuAnflSuDll91/rzSPTO4+y+4xezaC\nUP25zISIFlw2B5eVX6WotdVxUWbr+3Xo4N7oXbwIXLignEagQaZiYz1dpgSBWnGldYG/wSaOHqX3\ny+EInotyoI2ivOMgj6IciIuyt0b6yhV6TqU6XGmOY36+egfsf//zjGLPXJTVngUb+IyJ8V3m5dbR\nv//d97IYSvhrwZUO0rJ3aPly95gP0rpS6V4SAuzZo5w2E7lq2O104MBiofcxPh4YPpxawpQIVOBa\nrcrPqaqK/rGAdVIPFCA0Alc+oLxoEY0LwgZT27QR87x5M7B2rft1+CpLZ8/6J3C9DX6xa1d7L6qq\ngj8vUMlFWcnjqGNHbfUgM2rUBFrmwFdUePcoCBVK3kyVle5eEUoCl+3Pz1dOVz4Hlwlcab+KGZV8\nCdwWLZRFjtyCq5RXJQtuSop739RuFwW0mgXXl4uy1mBIhPgXZIrdIyWYwGVr5mqpk8xmYPBg9fMy\n/VBdtLgoq+X35pvpoERYBe7WP4bIf/zxR/z000/49ddfceDAAfz000/4KUix7IcMGYLU1FTNx8ut\nplKYwI2K8hS40lFqQLQCXX89nbvCKvvLl2kgGy0uyna7u8A1mWhBnDGDvtDt2nku0eFtToGS6GIv\nrrSCYHmrrsBlFjBfEOLpohyoBddqDZ4FVypwfXUA5ALXbvd8qaRp1JQFd+tWOvJeUygJXIeDvjNR\nUe4CV6/3LGM9enhatOx29zItL5/M4iW/j0eOAA8+qC3fRiN9HsnJykGm1FyU7XZqtfvgA/f0MjLE\nUV+5i/KUKbTDe/my+3s3bx4wf75y/pQsuIRQN1A1t2Il4c/qqX/9y31+ub/v/Ntv0/l1VVXhd1Ee\nOtR9CRs1C64/brBqAvfcOaB/f2W3O4B6aEgbXYuFlgO1e1RURI/PyXF3pe7dm5ZfpTxXx4IbiCcA\nuw5fy1xUVQGvvUaXf5EO0rIyt28fFZqszPtyUS4qoh0pefA4LQMidjttB0pLad4TErzHO1Cbx+or\nyJTTqZymdP3cK1eAe+/1zF8w5+AqCdz16+mgKnNR7tSJ9l9sNmpxYi6vbM1MLQKXPWeGLwuuWn3C\nrl2t47l5MzB2rPf8+IvcRZl1xCMi3J9XcbG2ZxMOgTt5Mn2uShiNtK9Z0ygJ3IoKd4Erj2IvteCq\n5Vnan2YW3KQkd7HJ9vsSuGlpymVRENzfba0Ct1Ej9z6j3S6296G24BqNYjlWCyzHBvViYuh3LRZc\nrXWSwUDrZKVzs+cR6jm4bJtafi9ccF++KlTzcKO87dy5cydGjBiBzMxMxbm2999/f2hypcQfC6fa\nzvREjMWAuMgusK7ahoRk8e7m7OiHUQOuIlroAmuBFUAabIWliImqglARC+FoHiwJhQBug2HfCcQU\npSD2TBlsOQ1hNzRDqa0KFnMcWqeYIPz8G5Dt3uuxHWkM4BY4fzsCNMqD7bcOiL2ciFhrKmw/H4O9\nsDvs+y9i7rweGH3TVVzX0Ib1FzqArFkPdvuc1jtgzbkCZMoWvAVgLRsBCwBkir53FbnpABpBv2ob\nmrWkNYDdEglgFEy/HAKc/i9yabuQjDihH6IuFcNhsgKZ570eb7ZGoqpqFASDBcjcQvNgGIlUWzmM\n+4qBVO3DkrbzfdHAHgfbWbPiPZDjuJwAYASMv50BMrPd9tkrR8B4OB/IPAPbiUaw6/u58ifHeagV\ngH4QduwBissg5PaBXgcgUzQZWA83gb28B5C5HUJxHKIcgxF7Jgf2iw2AzOotCrjlSGMM71WCCNmQ\n0mfvDkDLRlb87y8nqpW+VoQTjQCkQ8jcCPzx7giWSETpbkdURTlsBwsB9IJ16x6YchrCltcYyBTX\nEMm7cBeOffkb2two1vb2s73hiCBA5jGa3oVkABkwrvsF6KCHkNMDiWgC2+liIFO8zrxfm+H879cD\nmT4mLwEouRqPtIRBiD6SBWNxd6Ql2xF9xQDhYClsuU2QpKuEoG/venesJ7sD6AjboeM4fdyJg4eb\nAjeI6yMd++0OlC7fjUYtTbCe7A6LoQ2QST1JLIWDYdyeA+AmGFdvRbMWtFWoONITSfEOIPOUR/6s\n5SMgCAkgazJd77rDocMbb9yDv7TbiLQGnq2AcOJ6JES0hXC+2PUuCGd7wuHUwV6YhMpfLgFRdPhc\nONoRQHeY120HWvseVTKeHwjT/isAesFw4kK1yq99X3MAN8K+9yAA/ye1VRTcCv3aw8B1tLfsONcL\ndntbIJOaqGznUgAMhXP3XpDKUlSYopGa5L1naj7eFcKVRCDzkNt204VkXL6cgdhoJwS7DsgUo+g4\nnDqcPzcKVUSHqtVrEREBFPxRv+iPX1C8R0UnBiKlzIgpDyXhb/fmYtSAIjhye6NdQhnap7bHng+y\nMKyH+4Qm+8kb0CDegeiqDhDW7wLS1JWn1XQXnJUWIHMHAMBSeTvs2w4ChV4CBChgKR0OW6wJyDyg\nuP/95Z0QE12FAwebYWBELlI7VwAYCduaTbCfaA97UVNYY4xompwG/SFapwq5fQC0geXCVThtkUCm\n+7o+9uI4ACMx49libH17v7jdGAXgLgi//g4kKZt/7La70SjBBtv6vTAfbYz4ooaIPVUO+7lGbu2C\n3hyF4dNvQVy0E0AanJu2AM3EnqjzTEMAQ2DdfQiAZ1vosN0F66Y9QI57D8ppjwBwN6zFetjX/wqz\n8VYgU1Qmgul2WIusQKbChHg/cepjEOG8FVHQwZG5BUiivUvjuZsgpF6FwxSNaHMUOp06jax/6xA7\n5m6Yjv/RJmeehNVG23vh5x1Ajvpo1dnDQwGkQFi1DrHRVX9Y0UdDuFAAZHr6mdpzesJ4ORHI3O+x\nz5rdC0A7VK6hdbicip0tkXXwBiBTZRJvANjLb0VC7gU4C5sCmQfgcOgQFTkKkREEwqqNiIqtQmVF\nDIA74Fi3CUjxrviF/S0gVHYNah7VMJ/qCasxGiZrFArirwDOSx7HGHMGIP9yIpD5i8e+4soYFFfG\noFvbas4nUcB+qB2AXrBlbgIa0ntWWXYXHAePAYkFcBxLAzAIwqp1iIypgl3QQRDugfPocQA9UXBQ\nufwIljthyr4KZP4Oc1EGegrZeDS9MRb83AZkzTrodIC5NBbA7dBvOwTYlPuqlmM3oFGsE1ZrF1e9\nzHCYRsJ8pshVJzgOtICtuLPbe+mw3YXyXAOQSd0w7FfTkRoRAdOBfKApXebDbrsbZSeLADSHfeM2\noBXtSzsMI2CyEgCJsF68AmQeVMyjw3YXLPYoWFasQ3ysimr9g8qSODSMGwzBFgPbTxsVj1/yUR+k\nNzNjw6WmAFLhOOnZvwUAh+UONDAUwXKoAvbKjrDtOQnovPf57cVxIGQk9N9vQMMkdyVrKo4HcBuE\nzduBU9Ura7bLtwBoDPvWXUC+u2XOkdsAwDDYtuwC8io8fusw3w5h0x5UnukKoAUqN+zFb784EJcS\ni+5PDKxWvqR4FbhvvfUWAGDhwoVBO2GgzJo2DQCw/8pNSDzTEHHCLFi/XgbEiZ2Ls8fmoHPVUkTp\n/warxQQgDbaCEkRE2iHYGsK+9xAs5/YDuA3GnYcRY26G2NKTsJb0hmBKRXFFIprHlSOmsgLCDyuB\nFHfhZy/qD+AWOHbsBnI3wX7uz4ixpSK2rCtsKzJhK2gKYcsvECw3oCKrAF1TTyOBNEXJp9+hSSxt\nJByW4bCcugB88YXHNVor02FxxrjtK8/rjdiIJOiXrAEaUlOf3Z4EYBRMm3YDJzUuKCs9T0VnxFW0\nRNSJ43BE64Ei79Z4g7UhdLgTDqPVlTfBNAypBVkw6S8B+Ss1n9t25jU0IJGwlVkV74Ecp7EVgBEw\nHsgCDF+7p6UfDOOvJwHTAtiK+8Bm6KmapiNvBIB+EFavB/Ycg/3MK7DK7rX1ykDYyzsAX3wBwdQM\n0eaeiNm7A7byrpry6o2JWxZi96AF6JDg7udSlt0Oe42t8THmI1LnveIMBvbiPgDS4Vi4BIj9Q3AI\niYh2DkXk5XzYdh4E0AvWVRthrrgetpJermuvIjoYLaNxesUJ3P37KjHNUy+iChFi2ai4DkAGTN+v\nBRqdhnBiCpKMVbAfz3a7j4aCoTBdaanp3pZWdEJje3tEb90AY0UXtBSuIFq4CKE4B7bi/kgqPwLB\n0NyVlu34M4iJaAP77gOIiBBgL+7rdh6L+XaYl64EGlyA9dhzsFrbuPZbr/SAYd0uADfB+O0qoMEF\nAEDlsZcRHa0H7F/KswdbZTqABDjmLUB0BB2OtTriAdyDgi/WIe2PNKQIp8chwZII4fQ517kdJ/4K\nO4mC3dgKFT8fAs7RFeDtOQ8C6A7zslUe9ZIShtzrYLYcAtALhmO51Sq/9suDAdwI+6YdwAn/O/z2\nioEQVqwGUmkD7jw5FYS0g3MeLfO28i4AhsKRuQGb1+hw56//BLlntNc0zcefgWBt7HFdtorOADKQ\notOjSEgFmfeFa8DB5ohFDEaiSqeDbd5CxEfakV/aA8AIt3tUaE3F2zljMbfn5yg61xVtSs7CZGgL\nw9od2LOlFMLFJESV/o57I5shc348hnUT66WPz98Lg1mHxvFXEW1Jg7D4OyBBfejfZh8FZ7lBLHum\nEbCvWgfs8m/Ay1I+CFbhqupzLj35OOIiBAilOpg27ITjwEkAI2FfuBTCxbthL+oPmzEfTWwW6H89\nBZjmw3FmGoA2sF4ohKMq2iNth7kZgJG4mmt22yfYGgC4C8K2XcDZnz3yUkV0cDhHI8laAtvSH2Eu\n7ocESxPEFOXAVnSje/tnboLsC8PQLekSgDQ4lv4AJIodPEdZVwBDYNm8Ezi53eNcTvvtsC1f4yp7\nrt854kAFrhHCtz/AJtzmKo8AIJhvhbVIX+16HwCctoaItN+MCKKDY+FiIIaKVGNuewiW/RCEREST\nSOCLbxENIBJ3ovLwOSRE2oAvvoD1j/be/sMqVx9AiXN5tyECTti//AaxURYIVVEARkPIuaB4HfYT\nU2E0tHXbd8HcFD9cHgyb4RyAdqj8bgOQ5hnZxpo3Aheu9IH9868QExEEcxAAe9mNSDiwA47CdOCL\nL2B3xCIGt0FXReBY8A0QZUGFsRWAO+D45lsgzvsgkJA/DEJlu6A8Q1+Yj78IqyMBFkc8DOaDOHni\nMLom5UFqFzKdbYn8ii6K+fnx4p3YW9YVi/oGP6+23NEAesH2zXdAfAkcVREwWkbDsXUnkL0VQlFf\nAINg//IbxEVbYLQnAbgHzt37AfREQValcvmx3QHTmXzgiy9gLr0Zgw7PxSMJxfhW9wOM/7cYyVEW\nmE0tANwO/YY9QJay8cGc9SSaxBcjTtcBls+/QWKUaPZzmIa59ZcdBUNhL27qlh+HcCfKCiyubfYr\nXZEWbYBp1zGgcIWrvinNKQPQHLZlPwENqFFGMKSDDqUmwnK+UL3/KNyJBlEmVM77DvFxnoJNSqWh\nLVJs10OPJrDPX4T4aHd/+kuWxli/exjOD38ZW0tmAUiF89ARwLjEIy3BMgLJucdhu3oVNn0r2Db/\nApzc4fX8dlNzACNR9uWPaJjo3t80G1sBuA3C9z+5+jWBYs3rjAikQliZCTRyH/R3VFwHYBhsP61T\nrD8cllthX/YjKs/+BYmRDbFn8QKsu2pCQgIw5NIN1cqXG0QDH3/8MamsrCSEEPL3v/+djBw5kuzb\nt0/LTzWRm5tLevToobpfms1x4whZtIiQjh0JOXvW/bhmzQgpKCCke3dCevcmBKCf6emEdOpEyKxZ\nhPz2G93+2muEPPccIcuWEfLQQ4QkJdHtffsScuONhBw44JmPlSvpMZ99Rr+/8w4h//gHIcOGEbJt\nG/3tl18SEhtLyJAhhHz4ISF9+hBy6JCYRmIiIffdp3ydDRvS9B0OcVvz5oR07kzTZxQW0uM+/VT1\nlnll505CBg+meX/7bd/HnzlDSKNGhKSmituSkgh58UVC3nzTv3Pfcw8h48cTMmaMtuNPnKDX+swz\nnvsaNiTkqafo/2vWEJKcrJ7Ol1/SdDZupN/vv5+QW28V9y9bRsh33xHSogX9fvo0ve+LFxPy2GPa\n8iqlooKQoiLxe5MmNE05vXsTEh9PyP79/p8jENaupfehoEDcVlxMSFoaIXfdRci//033r1lD35H0\ndPE4vZ7umzzZPc2xYwn585/F7/v20eM2baLfJ02i78PEifT7hQv08//+j5DWrbXle8MGQm6/nX7G\nxNB37tln6TswahQhCxfSMsp4/HFCGjcmZPZsQubMoccwqqpo/vbupXmdMMH9vbv+ekLmzqXbdu8W\nf3f33YT85S/K+WPvrskkbisqotvWr1f+zd//TuuMBx8Ut02cSMgjjxDSrx+trxizZtG0du3Scrdo\nuWK/UatvvLFiBSF79tD/Fy2i6Sxc6H86hNB6WXofJ06k6ZnN9PuOHeJ92rrVs3wyqqoIOXiQ/j9p\nEiF33ul5zO7d9PcdOxKi0xEiCOK+0lL6nBo0IKS8nG5bvJjWZaNHi8cdOEDLACGEtGpF66t+/QiZ\nP5+QhARCRowgZOlS2h5If0cITXvUKEI++YS2OWfOqN8XQaB5bd9e3BYVRcjmzeq/UaNhQ0IGDlTf\nP2UKLW833kjI55/TthMg5Nw5QqZNI6RbN1on3nUXfXcIoeUSoHXALbd4pnnmDN3P7hUjP59u/7//\nU86L1Urf4d69CTl8WGxHly+neZBy6hQh0dGEDBhA05TXodu30+3z5imfKyqKkF9+8dxeXk5/17o1\nIVlZ9H+9XtwfH+/+XKpDQQF9B5o1I+TKFXH7gAGEfPABITNmuL/rSUm0Pn36afH3rL5Sw+mkxzRs\nSEhJCd3G6ut776XfDQb334wbR4i02+VwEHLddTSfDzwgtgNKfP658vPwxrffut9jOS1b0romI4N+\nL6j1Vz4AACAASURBVC8nJCWFXlNZGd3G2pZLl3yf7+uvCWnaVH3/xYuebVmg3H8/bZ9uuYWQmTNp\nP4K1c4z0dJp3o9Hz9+++S9vRUPD++/S82dn0e0kJ/f7ll/Q76xOwcnPxIv3+n/941k9SdDpCbruN\n/t+4MSFXr9L/W7emaRBCyNGjNI2PPlLP39NP07pCmgYjJcW9jv3mG1pGpUREuLf9PXrQPv3rr9Pv\nFgvNQ9eu9FPaH09Lo/1GVs+pERGh/EyV2LeP1sVK10MIfY9vvpn+n5Eh6pGvvvJ8P+LiCHnpJULe\neov2v+fP933+U6c8r5PB9I/SPn/p04c+H6k2YezfT8+j1pYlJtK6v29f+ly++YaWgxkz6H6N0tQn\nmoJMLViwAA0aNMDevXtx5MgRvPXWW5gxY0bwVLYfsPlNcXHuc44cDjqfp2lT5SBTbD4G87Nnc3DZ\nvB/ml9+0qXrwJflyFvIgU9KAHeXldF/btmL0NsB3kKnYWPd5LxUVdC7vf/8rBjtRW+dLK/7OwTUY\n6JyGYMzBDTSKstK1SucQ+VqmRTpvmn2y+2yxAI88QucBBGsO7vz57vM+2VxROWVldO6V1gAG1UVp\nviO7VuncdRacRZpnNk/i9GnPNKWBIOTlk83BZdv796fXqzTHV42SEjpPJypKnPsujaIsDzLFgpmx\nwAxKAahOn6Zz7+QBqaRrQErLt7fAETYbnWendB61OUwOB517qBRF2WbzDNYBaA8yJV2SIpA5uJs3\n08it0nMHOgdXHlFXuo444F6vsvdUaX3r4mLgxhtpXAO1ObgszYQEz/rNZvNctzw/H+jald6jSZNo\nObPZxCWZ2BxctoQbW5osKooGEZTOy2LBVEpK3OeIq8HKh3R+qdIcMy34CjLF4guwoCpKc3BtNhp/\nQmuQKaUgaYDvObjs/WV1K5uPphTQjz1ntUjbwZiDy9KWB8oLRRRl6X00GsV+SXS0uD0ujrYL7P6x\na/NWLqRl+/ff6fKH8ufQsaN7tFl5kKmiIhp3wGSi156UpD4Hl90btSVklHj3XeCU5+wOF/Ioyqyc\nSOcuszpRS7/F1xzcggJx1YTqwubgWiz0/SkrE+/Rvn3Aiy+K91qpPfC1bmp1kLZrgPhM5Utvydtt\n9hzy8z3jSLDAX9IgUwkJ9P+GDcU5seyd8hZEyGKh739iomd/QB7AkrX3DBYsrrJSnHMqD4DKrosF\nmVKag5uc7F6HnD0rtkHsHImJ2uoEFsBWLaaAXk/7wID7HNw5c2hwSPn1s76T1jm47PqUlsGU9smq\ni9VK75vSWu6+oigzTabXU41UWSnWO8FEk8CN/qP2XbRoEZ5++mnccsstKKluvOo/eOSRRzBo0CBk\nZ2ejTZs2+Prrr70eLw0yJb0ZRUViB1jeUWcVnTQYjsHgLpQFgTZATCAHEmSK/RGiLnDVgkwRQn/b\nvLlYiVut9MVq2hTYsIEuZyTNR00tE2Q00kpL3hFv1Cj4UZRXrqTBfBhaoyhL7z1A8yXNr1KQKdaR\nYxVfebmnwA00irLV6hmtTymdsjKgffvqBwLSilLnkwWZki7loyRwDQZaDk6dcm/wpO+VNEKfNIoy\nCzLF3o3iYpqe1gGS0lKgcWOxIyiNoqwkcKXBzOQByFhei4poHlhdwbbbbOoCV+kZEiJW9tI8sPTU\nBK4geApcJnDsdmWBq/V9MxjEjkEgZUs6KFDdZYLkAlf+LkqjKLNtSgKXnX/pUnpvtQhc+aAHEwHs\nmV+8CHTrRp/3jz/SDjvrqFZWikLHYhHXUdTradlr2tR9YIrd57IybUGm5NGjva0rKOWll9zbkKoq\nsZyrwaJwskFBaRsm7Tw1buweZEqnU+7AsHzKyy9LU/opR9pussGxhATlwUR2nazcqwWZUrr2qiqx\nXZXDlkWT1g3sHIR4dqSrg1qQKZNJfDekAjc2ltaR0gEGwPdgCVt25NgxOkAlLU92O61zc3PF39jt\n7vVbYSEdbGUdzaZNgytwfUWBlQeZstvFgVd27VKBm5VFg6bJIYSuke1L4AZzEEMqcK9edR9wP38e\n+O03eq9btgSefppuk1JREXj96gv5QKJ8kEBez7My4XTSAF9RUZ5tiPSdIUQUqQAVl+wcWoNMqQlc\neX9ZPgDodNL8JSaKgQxtNve+KTueDe5I32uHg+Y/JcW9LGzaJBqU2PsbH69d4LJ3UakOqaxUFrjy\nQFaE0O2JiWJ50hpcTXq9UoIdZCopia5LLF9MR6vArayk0eMrKz37m8FAk8AdOXIkhg4dit27d+NP\nf/oT9Ho9IuTRcgJk2bJluHz5Mmw2G/Ly8vD44497PZ51UuQCt7CQVh6A72WCAHcLrtlMG/LkZP8E\nrtwiILUo+mvBZdbgRo3EkZfyclpZSC1R0nwEY5kgaUGfNw/45BPl46WddzZ616BB8KMoZ2W5d27V\noig7nfRPGkVZevxrr7kv7yHvVLOXCxAFrrSRYcsEBWrBlTeuSpUT29ayZc0LXC1RlE0mT4F73XXi\n0h7SNNn3AQPEpXSko4UsWrDZTDuepaXi2spaRhOZBVcqcH1FUW7QQNmCyxrM4mK41nuUbpdacKXP\nRc2CywbH4uLc8+DLgssEglIUZXmUby0W3IoKar0B6DUFInDNZmrF8SZwrVb1NNWiCsvLm1K6rI6O\nj/fsAEqP+/FHdQuuzUbrTDYYoiRwpRH4c3OBPn1o+8Gi6DOrIutsyAWuwUDTlltwWaeutFS7BVen\nE+smLZY6QaDePMXF7umw6/N2LvauabXgOhz0OtSWXHI46LMK1ILL2k1vUZSlAjc62lNoSy2xcnzt\nS0pyL+fsfZELy+qiJnCZBZfVvwxmwZW+bwD9fuUKXbqKIQjiAAdbmspgcLfoS9s66TJn8ijKly8D\nrVrR85eX+xa4aWl0STWtsEFoNZgFVyq85BZc1jdyOKi4PqAQU62kBBg/3rNtef99uvwaQ82rKhCk\nApctBSTtp5WX0+fdvz+N0C/3ggqmBZd5uDDkUZR9WXClA9NVVdToIq1v2D5AFCXR0bSMA7T+Zc+J\nlS8tAjchwbN9ky8TJF9ijr07s2cDo0aJy5NJvQvlfR55ewuIS/EwjEaxjWPvr9LKLUqw/rUWCy7r\nz7D+rLQ9YdHV2YCs1vLqzYIrr+OqA+tjFRSIbSPDm8Blwp31caQCNywW3Pfeew8LFy7E4cOHERkZ\nCUEQfFpaQ4Wai/Lly3QtLUB9mSCpizKz4MbGiv8nJXkXuHIXZSULrtRlIzaWPjy2rAobUVay4LKX\nomFDsaNUWUnFLXsZQiFwpdd5/rz7ch7S4xMTRWHLGp6kpMBclJOT1TtxZrOnxRvwPI+8MmbPhm2v\nqHB3h1IarVSz4LJrZJVLICOrrOMCiOnJ02EDGMnJoQuTLuX558WKiOUtK4uKItZAebPgsoq5SRP3\nBk/6Xp0/L1bSShZc1miUlIjXrKUcl5fTwR81gZuYSN+v7Gyad7kFV03gSj+ldQbLpzcXZYcDmDmT\nbpOuaff77zS/WgWu3ILLrslfF+XNm4G33hJHvZko8Ocd/fZbuhar1EIqF7rz5wNvvun52zNngPR0\n921VVZ5L9sjfRbkFt3VrZZd9Vt9evuzdRfnWW4E1a5QFrrzjcf48XfKHLedWWCiKrqtXqQBlHVd2\nDLPgJibSd5vdX/a82OCmr3VwWbmVWyG9/ebSJXH9VoZ0YEYNZqmUW3CVBC4r+8wF2WoNzIKrVeB6\nc1GWCtzYWP9clOWWcfnv4uLovWTvlLTzFxNDr1ttiS9/8CVwfVlwpQMfp05RiwnjySeBVavEsh0T\nQ8unXOCysikXuBaLeJ+YkSApibaJzZp5F7ijRwMbN2q/R1osuEouytKpBlLrI7t/cvLyxH6WdP/2\n7VTkMnxZcPV64KOPtF0b65xbrWL/RdpPKyujn4sW0Wkx7JkWFtKpEcG04L72Gh0EZMgFrtyCK6+P\npe12RAStE+QOm9Jrk7onA7QPO2cOFfLMeBSIBZe5BqtZcD/9lJa/qCi6tF9pKf1Tc1GW513qbeZN\n4DIRzTSHwQBs8xKYWypwlZ6pkosyM8JJ2z2pF6G8n+sNLS7Kej3w2We+0/IGM3yVl3sOeHsTuMyV\n3GCgZaNpU5qfsFlwAaBjx46I+eNppKWloVevXsHNiUakLsrSAllYKApcqQWXzR9Sc1FmhSc6mr5g\nzZr556Ist+BKO6AxMe6Vg7cRZfZSJCW5zyuNiwu+wJV2yKUNrsGgXBHZbLQCYg00cx2S5tWfc3uz\n4JrN7uusOp3KlmL2e/mLzz4tFnexrmTBZYMSUgsuW6S7sFCsXAK14LJ7q9bRKiujoi05OfQW3Koq\nKkyYZYzlbckS2uiqWXClFbTBQPMqF7is3LOOFHsmShZcdp2lpcoiUo2KCtpwKglc9h5GR1P3r61b\nPS24SpZVJsTZtVgsorux3EW5qsp9jjZA7+W//iW6/LP8TJhA7ysbGPImcNXWwVWy4EZFeRe4ZjN9\nruy+m0y0oc/PBxRWeVPk7Fl6zd4suKWlyo1nQQE9F0BF6OXLniIZ8JwPLx04tNvpoKCawG3aVJwL\nq1ZHx8SIgkLNRZm53V66BEibssJCsXxcukTbFLbGLBO4RiNNW6dzt+JKByS0uChbre4dei2uqOz9\nldYlFotvTxPW2ffXgss6dWpzcIMlcH25KBuN9Hh/XJR9CVzWaWX1kLS+io/3nFPvD6tX07mXLB+s\nPFZWAidPiq7JSgI3Ls59io20XEgH0QHahly44F4HsWkX0ufAyuZFyYp+8n4EMxIkJtJ3vGFDdQFo\ntQI9e9I+wGHPFWQU8WbBZc8qJkbZRVlJ4ErLsRTWfzCZ3Nd3raykU71YHeVL4J465W4t94bUgsvq\ne7nANZtp+xkfL5br7Gxg7drgWnDZO8Xw5qK8caO6i7LdTu+9vL0HxMEvk8ldsAG0zdm9mw4yms3u\ndYoSUoFbWSkOwrPnpjYHd/9++i4x74f27Wn5ttuVXZSl90eaPqBN4LLBvrVrgTfeUL8e9i76a8GV\nuyhLBS7Li81Gp/GdOkXfPyXY8/RmwT17FnjvPfVrYFy8SM+nRKACl+0rLaX3ISUlzBbc2gTrpMj9\n4aUCV9pRl7soK83B1WrBVXJRVrPgAnRf48aiwPU22swErtRNg1XwycniMdJ8aA04o3YupRFlJaEl\nP56NcCcmVi/I1Lhx7tZaQGwgpKOLDRvSF//QIfd0WJ5ZHgF3ty7p/CClObiAGBQGECuEL7+ko6DM\nRdnXyOrzz4uNJoOVOfk58/Pp8UDNCtzCQnFeoTRPFRVi0By5wFWag6tkwWUCl835YM8kmBZcJnBZ\nYyYVEKxOiI6mlSaz2rJyJh/Jl1twS0rob6XHyQWu0eg5n+/0abqtokIcMMrOpm57e/bQPHTtSkWJ\nUhlSEghSgSu34DZs6P2dZ66k7B6bzbSz4Q/nz4uCTlpudTrxGqQBrKSUldH7Twjw4Yd0hF3u9SL9\nX/4uMgtuixb0XZR3Xm02Wp+yudveBC7gO8hUQQFNr1EjuNZeZBZcgNZNbdqIAz1M4BIilkPpPFzp\ngIQWF2VmwfXHRVlN4KamarPgMoErHWRQE7iCEBqBK283pS7KahZcQvy34HrrZLG5e3Fx4vVKLbjR\n0Z5eYt4gBDhyRDzfc8+JVh6pwN24EXj5ZXcxreSiDCi7KMv7GMx1Xs2CGxGhbsFlz4elx/pQSUni\nYKb8uVutwPr1Yp/gzju9W7OkeLPgsvc2Ksq9rWbbpO0V4NuCC7i3P4A49/HcOXG7t+dbVqa9fyMV\nuMxCxcodm9McFye6urLzXr1K60w2b1cLX3xB51mrIZ+nKm3TAXcX5Ucf9RTkUqNBZCStI+UC124X\n2yO5wG3blrZ7J0/S/c2bewpcFhMAEAe4EhOBZcuAG26gfT2pB8OVK7QNcjhEd15mPZYK3AsXRIEr\nd1EGxCCVgHvZkc/BNRiUXZStVjqf2lufxR8XZekcXG8uylJjwP33U+F54oTywAG7PqU5uCzfRqN6\nYD4p27fTKTFymCEgKYm+k/J8aBG4lZX0uTOBK58SFwzqpMBVclGWW3AZbGTEl4tydDQwdSqN0qkW\nXVjJRdmXBVdaOWix4MoFbkwMtTAMGxb6ObhqFlx2vNRixiy41RG4+/e7v9CAOEeTdSYdDjov6Lrr\ngL/8RTyO3Xs1F2WLhVZ2rBLzJnClLsrs88oV7RbcDRuAg7L1wVl5k57TZqON79at4nmYi3KoBS5r\n1OXzbyor6T1QclGWVzh6vWjBvXAByMyk29nAERsokFtw7XbRUsn2sTm40uO8oWbBZSO6zCWUzV1j\nApf9703gOhyiQGDvmFzgsvsmF7gAPSeb//bjj8CQIcDevTStFi1oY797t+c1qbkoq1lwU1J8N6yC\n4C5w4+OpCy4gdry8cf682FmTvitSS7M3gcsES16e6C7G8i+9RpYu4D6ibrfTPKemKrvFxcfTeufK\nFeXOLROxgO8gU+fPAx06iPEX2rd3F7hXrlALrdT1mCEVuIFacOUCV4uLMnuP5S7KDRt6r6fY81Ry\nUWblzWaj8yqNRtG1nM3B9cdFWclqL8Wbi7KaBRegbVAgc3C1WnDlA8ta59wBtLM5dCi9bytWUGuo\nwQBs2ULrEiZwzWZ6f6UCV8lFme2TXps3gcusRvI5uImJosDt1MnTRRkQ6zjmopyYSL/LA/cBwOTJ\nwGOPiX2CRo082y61+KNs4FEJqcCVTwFTm4OrJnDZYLM8YqxeT99nqUVcOhAtxx+BazLRY6Vpyftp\nSUn0U2rBZXUHszxqYc0aWq7UkFo5v/7ac45+RYUoFgXBc16mVBhGRqpbcFk5KSlxF7gvvUTd5rOy\n1AXum2+KwUSlc3DPnaP5/Owzmj+djqbBYktIB0fNZvpbVhe3aycKXDUXZRbPRpoWIMbwYG2kmouy\nzRZcgavFgsveaUAUrWxagLdgjN4suGxwwBfFxe4elQzH/zP35XFyVVX+3+raq3pf0t3ZyGoSAwyQ\nRpA1yCYqioqKGwoMMoIso4LLgATXcUH4jcMiLgMyKgEVGcWRASWgI0sggJANCCQh6aQ7vVdXVVdV\nL78/Dt/c827d96o6RJnz+eST7upX79133333nu/5fs+546bwVja7bwwu007+zzC4vb292L59+95/\nr4dpiXIQg6utVDLOk2uboFxOfv7Yx9zFSfS1YzE3g8sotx408bg4DH19JrG6piaYwdV5CIxgHn88\n8MUveicqypj2xfxycEdH/QGurrrMdr1WifLISPniwr7h8KJE+fvf974s2hnj74AAzV/8wjhlXNBd\nEuVUSl4sLVEGpF2UrVfD4I6MlFeT1BJlDRS0hFQzuH/rHFzKtW2AWw2D+/vfS0RVS5R/8QtTOY+L\nDftxdFTGeSUGN5OpfqspF8DVVZQJeAmy9DirBHABaYfOW6sG4DLHe2DABICeflq2nKKCIJkETjtN\ngiC2jY8HF5miZJ6fNzRUx+DqAAPblEqVzzv//d/ljgsZXDsHVxfx4vthGxfU/n5xMisBXDvYpOcW\nu4ATj4vHZRzYVdL1MZrB1QEujhM6KgS4gIzrww7zSpR7emSsuxwFrjHt7YbBtQFupbmDEnabhXTd\n1+c/D9x6qz+DW1dnqv+6jIyJn0QZkGdKR5PHME/Vr8gUQefUFHDnnSJnsyXttvE56m2CKkmUAX+J\nMvNlbQsCv3TQNINrr7suBjeXKy+oAohyI5MRoPLKK3I/o6PAF74ga5IGuARD7As/BlczWDzWBrhj\nY+UMLgFusWhA6tCQSBq120ZlBttCiTKBWG2tt78nJ6WCOVMYXE58JiNA2s7LZb6jX8BApxbYEmW/\nHFy/OUBLlHU/Dg+XA1zAv02Dg/7BHfvecrnyudkGuASEGuBy7vCr9u2yXC64ejUB7tQUcP75Mqfp\n5zQ8LOudDXB1wIPH+0mU+bxSKTm/BriAEBI9PfI9F8AdHJS/j4/LOlFXJ/2zdSuwfLmcc3zcbN/D\nHUT0vOVicLdsEd+jvt4NcHV6nB472o9nH7gAbi4nkvxqAK5f2ogfg2vn4I6Pl0uU6WPxmd1/f/n5\nSyVvoS9tNsCtlD/f2ytruR0c16QX78luA+CvngHMOKuvNzm4rwvAveOOO7Bo0SIce+yxePvb3773\n3+th2knRnbFxI7B4sfxsA1wdAdWVRTmoAW8E1Qa4AwMmR0JX+dORaDuPBzCLJBfR8XH/vbTGxsor\nyWlnTd+vHaHS9o//KPl/2jZt8uaS6HwdW6KsB+rEBPCpT/kzuNORKO/aJYvj2JjZJiiTKXdYcjk5\nLxdiTi62s0gAQ1kj+2bNGuBXv5LfW1sNCHE51dwSwwVwgeoZ3EzGTMA0F8ClM2kD3Pr6vx+DaxeY\nIMB17YNLJ/eXv5Tqk5yYW1uleuX27SZwND7uzVEkCOH9s9R9JmNyvEZGZPF7LQwuxyN/pxRTS5Tt\nHFw6F9p5Zr4Z79/ODx4eLi+OZjO4lEg3NABLlohEK5GQokeVGNwXXxRJL8cHpUm6D6crUSbABdwV\nKr/9bW8EeHBQ+tklUa6WweX/BLguibJfDi7HEisU23m4nA8bG02f2OYHcE86SSLvWnHDfdMBGSsE\nuGxPT4/83TVfs19tBpdtq1ai7MrBdQHDPXsEyGzfLnM/HVjKUZPJYEltEIPLNmYyXoejVDLrox+D\nq7dxWbtWnL9KEmW9bjLoXEmiDHiDy7TxcQFiOjhgj7l9lShrh5d2553A5z5Xfj7O/888I99pazPr\nKaWeLoDrYnD9JMq8t0LBK2t3MbhjY3IcA1NDQ6KE0vdj+xG7d5scXKCcwWUggkWDXAA3l5O50nau\n7XuxzSVRdjG4Q0PGB7MZU5otUS4WjaS1tbVc7eW3vtspN35GIAjI3G/fM78fxODq4ytZNlsZ4HIN\nnJiQYLLemnFgQPqBx9lAMJs1x5PBtVl5jtl0WsaNDXDDYeANb5A510+iPDAgAbGlS2Vs0i84+GAD\ncDmPPvusuTe2NZv1Mrjz5kmhQzt9Tj9fzeDaAFc/l9FRo2ShRDkeN/1eLYPreqYjI2ac8LrV5uBy\nTOZy0ibXvtLFoqyfQRJlXecnyHp75Xx2gEOr5gBpnwbL9ty7aZNJ4eDfSDJqBvd1kSh//etfx4MP\nPojNmzfj2Wef3fvv9TBOenoxHxmRPIKlS+V3vVgA3sVPR0M1wOWD4vdLJRnMN98slVJvuMFI5Oxt\nghIJAxxsgAuYCWJiojw6q9tIibKecHgvlQDuunUifX3ySdnkfWpKBt1JJ0m+hq6qV61Eedcuue9s\n1gtwNYNbLcBdu1ZkJwSmzEtxAdyFC70S5XC4HOAS1JBF1vIbTnynnGIceNupLpXkuZDBTafNoky2\nzgWsbRsf90YYaS6JsmZQAJmA/p4S5Wg0OAfXVUUZMNWlNYPLgkY7dpj+0Y6FZmY1A5jJyELEHNzO\nzuoA7vCwP8Dle8j3jUyH3l7LxeBqczG4yaQX4M6Y4Z2AX3xR2q8Z3IEB6aO6OlkUEgl/abEGuE8+\nKbIuOm4Ecvp5NTeLQ7B6tbuPyLqyzblcMMDN5aSNExPA9dcLO0iW2Aa4msGtBHD37BE2KIjB1QV8\nNCDRDO5rBbhaoULQrQEu50FA5qSDDzbVTgFZ3Nvayq/BcwPePR+55QFQnUQ5n69eokzGYmTEgO61\na6WSrQa4fg4CAY9dnIdzEo/RAJcOJuCfg0uGjUwQJc/8u8v8JMouxkOPWZdEmQCXfXfJJcZ5rFai\nbANcLVG2ARnXyOFhr9P/wgsyZglwmStuA9x8/rVJlPkz2+rH4DJYpxnctjY5Bx1R+hGcLxhw1Qyu\nfobZrIzX2lq5dxfA5bPv7jafPfmkAQaVGFztk3Au0O+xZh/9GFy+57qPGVhNpcoZXD/QzfnMdt5t\nY1A+kZB5nxWFNWCsqXED3J4eWUO433Q1Vg3ALRTMc92zR9rF8/f1yTUZJLMlygRgQRJlPq90Wp61\nDXABCfI+9ZS8F7Z/k8+LX3HLLaYmCQMrBLh8L1IpU8hMBydcDO7zz5erC7UfbTO4fFbRqLeujw4S\n67li925Tl8FvTFSSKOt9cKNR+Zm5xfS12L4ggFupGCP92SeeMPVrNIMLCC6w97AF5Pl85SsGcNsy\nZU0qAF5ZPH8HzGc//zlw++3ev5HBbWgwhSNfFwa3paUFdax09DqbBpWcJJ5+Wl4KDnT7f71A2BFh\nOjguBveZZ6Tc+VNPycMoFt1l7NPp8o2teX7AFJrSunX7QWqJ8r4wuPfdJ2B8yxaZjJ56Sl6kxx+X\neyZLyQItfkWmNMDloKYDb1dRTia90eQgGxmRF477D/Ie7e/m89JffE6MtLsY3HjcROr4Ig0OGvD8\nznfK1in6PP39MgkWizLJ9/XJvzlzvBM8UB2Dy1Ln1TK4BMTcniKdNhLlM87Y98JhleyVV0Q65srB\nZVVYVxXlRMIAFQ1wATleF1Ai606Au3mzTGw2gzt/vvT56KhEdysFSdhntbXmPSWAoJyXjjZgwEuQ\nRNlWeRDg8h3LZr0SeBfAzWRkDO3ZYxx0FuKqr5fFgQoO1xhivxSLMm7JptkTP4/9wAdkf8cHH3T3\nk2ZwY7HKDG42K8+hu1u2BhoclC16KkmUOYfYNjgojtyGDTK+KRfnOWjj49JftpR1fzC4nBcAr0Kl\nWDRMuy5ulEzK37/7XeDEE6WfCFwoUQZMsS5Wo+b40fPD0JABuNUwuAS4oZB3Owy/+yLzRxZqxw4Z\nl7yPeFzu0eV46YCVH4PLdre2iiNHCTIQzODyPhkg2heAW2kfXLbNBtoTE0bGCBjm6eGHKwNcSpS1\nMzsxYapS+0mUs1lJGZoxQ/IhAQEc73nPvjG405Uos638G+dSXUUZkGtrgNvSImOtv19yOBk0IxNK\nQEygoeXzgBznArh24BkwAWoA+PKXgbvukp8rMbhaojw2Vg56x8ZM8Su/HNz+fq8yqFQyoE2PnsPi\nBwAAIABJREFUsWoB7o9+JEo2bWef7d1eKpWS/kgmZe4Ph70AV0u/te/a2wsceqi8c7ofP/95b+HK\nBx6Q4mS83iuv+LebYIPjYM8eaROP37PHVIfn+QBz/eFhGSvFYnAV5WhU2r1li5e5pi1cKGsC/2ar\nAQYHxX845BD5jGDzjW+Uvh8bk+snk4bB1e+CzeAecID0GVlR+qbFolkzWJeD/cSxzvddM7iAURkS\n4JINZ22CW26RqsrappODm0xK28jgtrWZ4JAGuLp2CSD3PmeOO12iVJLxT4B7440mKM6xyndj0ybJ\nlbbtpZdky8EdOyQvf/t2WVfuuceAcO1z8b4A2faKvqBWDRQK0pZnnjF9HI/L+zydbZCmY1UB3KVL\nl+K4447DVVddhWuvvRbXXnstvvvd7+7fllRpdGA0SFy3TuRlNM3yaCPApVOjKXYXgzs2JizNk0+a\nxduWKMfj8hkHk52DC8gkcP31wEMPmRfFZpFcRaYYwQQqA9x8Xs4fDgPHHCPSBTodGuBedpnkcrly\ncOm40jGwAa5mcKNRcWaTyepA2ciITOaaNQfcDG5Li+mfIIkyX46REdM3jATl87In565dMmFMTEhb\n77xTSrwXi1Ltb/du6ZtZs7xtBarLwR0ZkQlgZEQmAy6EuniFzeDyPrmo19VJ7sk991S/5cJDDwFX\nXVXdsYAB8TqvBDB5niwyxbysTMY4jyzcpPfBBYCjjgJeflnuqa7Oy+C2tko+2g9/6GZwX3klmN3U\nxohnKOQFFtGoYSlrasx7T0fQb5ugfF4cO8A4fXQA9ASrKzEODAjosuW0zc0yxhoazPVtBtdvodMM\nLgEunRMXg1tfD7zpTeZdto2gNJORdunodhCDu327YcIbGipLlEdG/BncefNkAVuyxMvg2hLlZFKK\nlD31lJvB1dWJaRrgxuOmfTfdJONQHwN4ASaDCLrIlGZw3/xm6aPaWuPY9vebCsutrfIZ/2e/6nl5\naEgCBEB1Obh0NujUV2JwKZtraZHf+/q8QD2RAN7yFkkfsC2f98rTdIRdXy8Wk1zNv/5V+o79M10G\nVz8f22yAuz8kyuw7Ppennto3ifJNNwmj5FdkigB1cBB4+9uBf/s3+fz554GTT5Y1gAzu4KCZ510A\n115PaVwfbVmvC+ASBJK11AVphoa8ALexUf7+pz8JO6P9CBYQDIXkO+wbm8GtrTX75LrmNv6sGdyn\nnzaBuulIlEdGjGpHA1wCbxfAnZqSdmr/qFSSebShwfu+VgtwN2wo3+rtt7/1smlkcMnitrV5n9Xs\n2V4GV+f5H3JIefD0zjtNEUdA/BTWE8lmvdWgbSMJwbWLdUx4fubFBgHc5mavRHn3bimcyH2E+bza\n28VHdjG4CxfK/6mUl7UGDIPb0yPnAAzYbG+X92fnThkP9fUCmtJpcw5XDm5joxwbi8k4pm/KcQ6U\nS5R5TRI2GuAmkwbgMhjW12eCQNmsvEuPPuq97+kA3IsvlsAFAe7SpYad57yg1xFNpHV2yu/2O1As\nSv9xnl+3zoxVys85NpgnbVtPj7Rp/XpgxQrx1778ZSkw98UvmnVaz1ucd/7yl3KAy3Sle+/1AtxY\nTNZXe6eY/WVVAdz29na85z3vQSQSwejoKDKZDDJ/a02lw5iIb0dX16/37gmltxLRRsDHaA47145E\nEPhxsI+NmaINtkTZZnBdEuXWVuCOO0TqzBclCOBqaYUGuFqeYQNcOquLFglD9vLLBmRlMiayz1xi\n1z64HHAc/Iwg2gyuBt7VypSZ6xqPS5/zGfH6W7cK8MzlZHLVANdPohyLibOnmSIyuGRHDjlExgfl\n4T09Zg/NuXPNfp2cjNlWoHoGt6FB/lHSTlbElihrtiSb9QJc9uHjjwf3o+4vu3IzzTVJEODS2D4u\nbprBTaelT+l0EuBqBjcel+JnL78sf2tokEmQVfUOPVRywQm6dJGpuXOlWjkLS9hg6V3v8hbs0bmN\ndpEpRgEBMyaZp0ZZlovBJcDt6DCRd83gAl4Gd9cuAW8cgwQVtbXlAJcMbjUAl4uNZnB5Lw0NMl6P\nO84sdixa5zJdZKq5WVjBSgzunj1mb8xs1uT5VpIo63f+m9+Ud2ZgQOafv/5V8q8ALwNNY3Gt224T\nNrpQMPMqI8OtreVAnvNtU5P0Dc95551m0QwCuGRwOZfqYCeNeWC0+no5nsCWzpgGuJrB1QC3GgaX\nAJfMIdtqGx06KgvGxuTZcW0ig7tjR7nDwnWTjL4fg8tA0SGHCCipxOCyCArXSw1wWb3XZX4S5XDY\nu28p+4iWSLiLTGmAq0HLdIpMxWLSjjVrxDkjwLXXaQ1QP/pRGXdbtsiYWbDAzCGtrYbFtCXK4+Mm\nPcUFcG0Gl74Bg1BsB/uH1WMpUWabh4fLAW40aiTSxaKMJUqpybQRrNn+gZYoDw+7C+nYEuXBQelP\nV5E+bS6Jst4aTgNcFr/SgRpaqSRjWOdgVgtwi0VvMZ3BQbn2tm3eivaANyCVzXoZ3IYGWVc0gztn\njn8O7sqV8s7p935w0Lv9EkErz7dsmbu6Le9LM7iAF+BSosw22Dm4BLgMzBxwgLT9Pe8xijiO2fZ2\nGf/VAFy9/uTzMleNj5vvEmy2tUn7tm+X/v/jH6XIaDQazOCGQrJGa9+U41wzuJrBTyTke64c3M5O\nE+jXDC79ltFR+V2rFYDpFZlqapK5YmJCxp4L4GpCiOqcXE4+b2vzL8ZYXy/+w/r13mCMLlbZ2+sP\ncHm9ww6TZ/Xcc6JoXb1ano0mCJuazHij+i+V8jK4JBB0IS/eW0PD9GT61VpVAHfVqlVYtWoVrr76\nalx99dV7f94f9vDDD2PZsmVYvHgxvldhV+2dO+XFs4tM5XJm8gAqM7ga4PI4PwaXRhbIlii7GFzN\nEAPGOTr8cJOsbjsxfhJlvxxc6vY5wfPFXLjQAFxO4HSeuTjzfHZJ/slJU3gJMBMoo7XRqOyJtXq1\naVe1lZRHRuRl4eJt53a98IJELAk+qpUo0+HXTiYlysmk2RuNssjxcRPVmztXpC/JpDfXTgNcymC1\n7O/pp4FLL5WJg5NVPC4/T0xIND9IogyUA1xA2hEEcAcGhC3mWHRVyduyRSQ+gDD1V1whbRoelu/S\nxse9i7YuMkUWK52W+yITNzoqf1uwQAqGLVpkJMoEuDNnmkDJ0qUGKJEBJEi+7TbgnHPcAZIHHvCC\nDD+AS2fdLhSn97gmg1sqmWeYz8u4AQzApTOrJ9jWVm+F0fnzvQ5mKmWqSLoY3EzGAFyXk10qmft6\n5ZVygNvYKNHxP/1J/kaAawM/7ewyoMX7qwbgaml5Om0qvtsSZf7OqDbfxxtvFNZwcFDGxDPPiANG\ndpvnoPFd1NVeqYxh8Kyx0RvkAMx829joBbjMa+QxlQCuS6JMcwHcZFKeZzxuilJpJQGfrc7BrUai\nrIHdxIScR+cmaysUpP1k2AoFeXY2gwt4Gclf/tLLJFGpoOXhvB7fo0MPlTmuVPLO0z/7mbcaeKkk\n/eBicFlF+Iwzyu9FA1w+fzqadjCIgUq2z8Xgzp4t7w+rSFOeGMTgatlhJmOK4j3yiPRrNGqKn2hj\nkIFM+vz5xtkjw0SJMse+zeAC4lgS4LokynV13vFNNYp+lpOT8tnMmdhbKVf7MUND3m2CyOBqgNva\nKveo8wJra00A0WZwCXDZzkoMLgNP1TK4WqJcCeC6GFw61joHt1g09xckUf7Hf5TdAWgDAzK2KgFc\nW6L84x9LYUENSBctMkFVAqnhYTnPSSeZwqDMxRweluAfATeDf8yZXbjQK0/VVZjtHFygvOAiU3LY\nft0fIyMG4DLwfdNN8hmfo2ZwmQ5kmwa4dhX/fF7GSHu7Sfvge97aKuDylVfkPZw50xBRGhzRl9Pv\nzgEHmHeAwXPN4GqJsmZIdQ7u1JQX4PL9jMcNg0u/t6+vXCbsV2Tq3//dqHB0xidrn4TDUijXD+By\nfgfk2rGY+C/r1nlBKtfQ5maTqqGrL+sCoAS4dloLAW5trcmhLhbleh0dZhtN+he6kBiDqUxLAwyD\ny4As70ED3Ep7ue+LBQLcSy+9FABw+umnl/175zvfuV8acOmll+L73/8+HnjgAdxwww3o86MnIBGE\n5cvlZw347AVCOx/aikXzgAEvO+oCuPk88N73Av/8z26JsmZwNcDly6SLTAEGrLkYHQKyaqsoE1jr\nXJyaGplUFiwwDC5gBvfAgDm3DXD50jU0yEB9xzuMRIaOYSQicu1nnvFOItUyuIB5JjbApWTFxeDS\nidJAkwCXTM/YmPQHiybROZs3TxYoXeCLzsHs2XI/BxzgDUpogMuJVS+kt90G/OQn8j8Bm5aGPfec\nF+C6nElOvHS4IxHJGQ4CuA8/LJMRnU9Xlbw//EEcrslJGQMbN0q/NjZ6g0Dj49JXNa/OALrIFJ18\nOgp0Qjlxh8MSzW1tNexuQ4NMlsuXG/kdFwxKcblw19XJOP3GN8oZXOYKss/+93+BT3zCvLO2RJkT\nPZ8XIM9PB8H0WALKAW4yadqqZas62EMG1wa4usgG20EGFwhmcMmAtbdLLkyxaNpIIEfp7fCwG+BO\nTEg7P/xhw5brOc4P4NJR0gCXgQG+C3rcMkBB50lvw1AoCGtLBrdUAs48U9pKR9clUQZMVJfjg0E9\n1zYHWqJcWytjnLmrui2cW+wAng1w9bOmMbjDfLC6OuO4crHX/WpLlKdTZIpjiLJMOors96efBj70\nIdNPvb3SBrLGLgaXzxGQ4N3ZZ5t+pEORSpljGFRhvwDAgQdK/nwu52VwH3vMFCsBgiXK6bS09557\nykEpn2MsJuM6mTROru0U5vMyFpie4AK4nZ3ynLjmkdF15eA+9JCAGFui3NQk72B3t2mfawxqBpc1\nAcgikaUig6uvbwPcnh45P9cEW6KspZRjY+Z3DXA51hsajFpE+zEuBlcD3FLJFFqcLoMLVFdk6skn\n5b6nw+Cy3zTALZUMoA+SKLONrEEAeHNwXQwu2/TEE14gOzBg0pjsYBvfV6Ac4B50kDelY3RUpKjf\n+Ib8ToD7gx/Imq/HfqFg2GZumwOYgCIl6bNmeZnDe++V7en0sZrBpZqpr89shVmtRBkQFdE993gV\nOdGotwq9bbNmmfnGlijzmpxPAblfrqMEuNqv123W/rY+Zt48M4/RN9UMri1R1gCXQW7m4JOV1GqP\ngQGvRJnV7bVpgDs0ZMbJV78qqjv6UDT6XZGIAFxu6cgAIu9Hg2KmZnV0yN7U3FMY8K6ha9ZIwFJX\nBNcS5d5eo3DQ1tMjaUYzZphxyfmGOcFaosxgAO/fBrhkcLU/Rn+Dz4Vjbn9aIMA9++yzAQCf+cxn\nnP9eqw2/2qvHHXccDjjgAJxyyil4zJVA9KqtXy+LL+CVD9kLhB+DS9CqS3TzOFeRqXxe2LDjj3dL\nlDkpawaXeWz6+uefD3zyk3KOSgyuBq1BObgE1jw2l5P82rPPLmdwdU4ZWYN02huhZb4OK2jee6+w\ngXypueANDcnvmsF1Adw77/Tm0PkBXPZlLmcAuM7BZYn2cFjAmM2es4AXnW6eJx43kpWtW70Al2Ch\ns1OOnzvXONy6GIMuaKSf15o1EgAYGTFFheJx84KvXz89iTJzQE891ch2XP15111ynUcfNQ67bWvW\nGCDJ/Uj7+qRPeY8s1jI05GWkKFG2GVz2twYPgJGqhcPy84wZsrhPTHgXDI7jWMzseUezAa5+jwBh\nL9etMwsUHV1Ori6JMrewaG42wQ/9HLREubPTK1HmOAKkzyjn7O4W8EJ2UzO4vb2GweVCyHusVGSK\ni9TmzW6JMvc9HRz0AtypKeBLX5Lv5fOSEzY2ZpwbOqF+ALdQEIexr89IlLloEdy5cnAZCNPvfaEg\njuzYmLxvCxaIrKmlxSz+LgaXz4JBFc3gVgK46bR3nq7E4JZKZhucahhcjg9KlDlnVitRJpvmkhvT\neH2yVmTq2OZduyTIyD18e3oMu0ZnVQNczm96i6tcTvax5nPiuqGj7VRY8D1KJmUNoQKBz0zn9bFP\nXUWmeD7OT/YWIZrBHRz0PgNb1keAy/nJVWQqEpHxtm6dNx3CBXAfe0z2jrQlyg0NElxctkyOi0Zl\nDNhzrB/AjUYNS0UGl2ZLlPlsm5tNINSWKGuFgg58aICbz8uxLGhnM7jDw9ImFnxzSZTJ4GrZ5Gtl\ncJNJA3B/9jNvykk1Obg2g0ugzTU/GjXb/tjjwQ/guiTKOoBQKBjlFSDrTG+v+AbsS20M9AHlABfw\nvvvMe+TfuC7+v/8n+yTT+B1WsyZRwetRlptKGRaNtmmTd0tEF4PLtIa2Nu9YrAbgAl5VjWZweX7b\namqMkoeFoi6/XP7Ga2uAm0qZ94YKCBvg8tlpya0NcF0SZTKEWqLM946+CX0AvttUYelg2NSUF+AG\nSZTjceDrXwfOPVe+198v5Ad9LpoNcP0YXD+Au2ePd3zqAN26dUBXl9lFYNs2ISE0gwuUy5R7eiT4\nctxxXoDLvqKvQNUFq8bz/v0YXK67gNd3q69/HRjcFStWAABWrlxZ9u/4449/zRdfu3YtlnJvHwBv\nfOMb8aidsa1s/Xo3g2sDXDsHV8sVpytR5qTF6IOWKNPh16wuUH7+1lZxGFgVTi/i+bwwKH4SZe2s\nUb7iArj5PHDssRJ1YW6pPRn098vxv/mNDFwuJr/9rfxeV2f2ZOVkvHSpTGpkfIeGxCmxJxHbPvtZ\nr5ytEoOby5mtZ7gnKf+un2exKHmuP/iBycHly8NJVjvQfgCX8g7Ay+ByEmludldKHRyUCNuJJxrH\ngPJF3qPN4Gqg4JIo87pLl8p17ZwKQIpX/exnwMc+Jk5asSjPwt6Ae80aUwm2v1+ioIza8h5Z2Gh4\nWAAeYCTKGmyQwWXbbYBLJ5Zs7THHmD62GVwuJC6AqxdijlX298aNhs2kMappA1ybwaUUh0EdDXBt\niTIBINkSwEhTMxl5nxiRptyfDO7kpAG4LIalAS7HESsW03QekwYHgAFydHCGhowTXVMj1/+v/xLW\ngZWoKdsiwGBf8ZlrgMv2uwAux4krB5fjXb/3hYLMIYsWydZcd98tfRAkUSaI1hJlzeA2NvoD3KYm\nL8DlgqqP4Xj4938XgEfnjQDXZutpvC+qcDSDu2SJkd3ZEmXuSTt7treug80wnXWWBAP0M9ASZc3g\nElBu3FgOcOmsaqDO94DzEPvkrru872U67WXUGMDQ7zYrm+rPbKe5EoNrb7tmP8d43MuW83ougMsg\n5803A//xH+bvXB8IcMng+kmUOYZtBpeVTD/yEdNPQQxuJmOKMdHZ1AxuY6NRx7gY3JdflvmEgVBb\nomxL8ClZ1qCKqi+d76/9oKEhM0/29XkZ3JERuSYL2REAAv4Mrq6izHa6GNyZM+V669bJfH/66WYM\naAf2scdkS0M9JmyJckOD8VP4vvJ3FsTU8koNcGka4PpJlDdt8qZlANLnXCeGh811qBzRqQl6ngCM\nr8LglA7iJJPS/7t3A//wD+Zztm1wUMbeggUmwMm5kQWtOju9AHfbNhlTk5MG4GYyZgwS2NEX0ACX\nyg6m8WQyRl2gAS4l+1NT3rWL53fZI48IyE0mReVz773yeT7vVcQAsn6ceab8TJWJrcy0GVydgwt4\nAa6WKCcSpkZIsSiEwTXXlEuUCXB1mpFOZwAMwCWxwq32aBynZOb5vMfHpfgdfS59X5wjFi6U56j7\n2AVwWU+BPqyeY/m95mYJKhxyiLyHN90k81tzs1kbdKVtbT09gif+4z/KGVyqFdlvmhijyoLjlPPw\n8HBliXJDg/RjNbuyVGtV5eD+X7BVq1bhvvtW4bHHVmHNmjVVAVwNplKpYIBrM7iMqFO+SBlcQ4NX\n9kagqY3OkT4niz/YDO7llxt2l+105eCGQoYt8AO4dBRiMZnEKD0kaCBDumiRkf2Oj4sDtHOnd6DW\n1YkjtnixyZ11MbguifL27TKZcGNnoDqJMlAuZ3EB3PXrhcXUDO7YmHcC4GQUxOByotIAlxN1R4dX\nCcDn9cQTUlWO8lUyuJQ219XJ5KDzoysxuICUm+/qMvlU2vbskWNvvRW48ELDVExOetmRUkmufeCB\nBuCSxW1tNeODAZmhITNBaolyR4csPB/4QGUGl8GO+npROmhwoRlcTtQs0kDTlREBM1bZ3xs3SsXP\nd73LHMNzBQHcREIW97Y2+Z/vP+AFuGRw6+vNJMwxQBa1t1f+1tpaDnDZpwS4vDe9DQAg37vlFiNT\nA+Q8iYRZ5LVTTukhJWpjY+b+dFCnu1uOY0GJUskADN0nnFd6e8WZI4hLJGRB5bYmLgaXrFguJ06p\nXRyMC9p3viOfH3ywfK4BbrUSZc3gunJwYzFROnzve/4Mrh4PDz5oAk7s10pFpgBTqZnB0URCCqww\nHmtXUeZinU6LExMKmfb9/Ofi2L3wggQl3v9+I60OArh0xB97zIwNW6I8OWkCkhzHmsGdNUvmSj2m\ntUSZEtlqAK7uZz5TvxxcqjuAYIC7e7dZL9k+zXoz5Yfz0zPPiKOs2xAOS3ufecaMVb8iU5RuaqdV\nA9IPf9i0w4/BnZgw+11HowbgEiRks0bSzudoA9wtWyQYQoDrkii7GFzOAzaDS9WSlvz190s79BxA\nZnN83MxvLgaXQNJmcJl/CHjzDKlAKRSkL/N58R9OPNFbhNPFpusxwUJjLIipc3A1wGU/19S4WWY9\nbv0YXN2/3IaGgelQSNZN3isZY/6sx9XmzeIncZ7g+NHrRI3ytJNJU0+GIIjP3WZwCXA1g5tOyxqt\n/YRt2+R6u3Z5GVyu7wS4ZHBtiTLXR24hyfdQg0cydnoHiCCJMmD6I5mUtYegPJ+XuUkD3FmzgH/9\nV/M9pjrRqpEoH3cccNFF8jNVRtpfZh+/8II8c85fDOyOjZUzuC6AW1srfT5jhoxRnTbEccp5ShdM\nfPrpcoCrGVwGSZifzbbZfcw5Z/Fi6TftB+pAcKEggdlwGPjVryTAynQ/Wl1dOamiq1v7SZQZ3ORW\nl5mMV2HCQCOfFYPKOo+a95bNrsErr6xCOLwKX/rSKuwve10B7uGHH45Nmzbt/X39+vU48sgjncd+\n6UurMDKyCtdeuworV670ROLsHFwNTDiAKbHTAJeToF8OLgcqHfXRURPpBby5sIDXOfrwh72TGhdC\nVgQuFOQFuekmGczZrNkk3MVGsJ0sEuCSKNtRQr05NKV3nCABU1To3ntlQiWDy70VFy40x+qIrs57\ndEmU//xnmUSfesp8NjIiL4wtJ9UMLtutAS4lyvwOJ2EGBHSRKQ2c2BczZ8qkrvPJmMcCyGTjYnA1\nwNWM+86dwpCznzSDy4rKBLK2RDmIwT3lFCOb1iwfINsULF8u7C2jb5ygtANGh7mtzQBcQBw/LVEm\nwN2+3UgqNYM7a5YsRJ/+tHleZA9sBpcA97vfBS64wAsubIAbi0n/6UWNrMcVVwjrzzYXCuLkbNwo\nxT9cADcS8Y7FWMxMtGzHjBlm7DIooCXKK1cCN9xgcs81g0sWePNmaXNNjZvBBUyQg4uQZnB5LgZi\naJxfNMBlvjIZXL0QaYDLMd/dLe9gY6PZu1QzuPwO+3n1atnqge1va5OCaW1t5Tm4NoP71FMCzrRE\nmdUft2yRbVO0NTaayHCQRJkMLp24aNTkCeloLt+XREIWdhfApYwKkPFBAEjTEmUXg8t+a2ryPkO2\nl//bAFcXQiPAZ/seekjm2HvvlXVh1y5ps11kypYo66Aa5x86aWNjMgYiESPzra0VRojOzuiosCeD\ng2Zc8j1knplLogwYgKv7xwa4lRhcmgvg8jlQqqufT5BEOZv1znlc+zlexscNc+CSKJPB1RJlQAIX\nl10mc3s47M/g6vXWzsHl1iSDg940BZdEeXTU7L1OJpaWShkGDSjPwWXqhGZw+aw49hsbJTjW3m4U\nEawWy/dBA1zN4La2moBdkERZv0uf/CTwu9+ZfEcy3bW1xmHXElNAnj3ne52uQxbXzsHVAFenG7ja\nyH4gY7d7t8xxfgCX+9hznWPggPfa1FS+hzzPs3GjpLK5GFztb9GSSQEQetzzO5rBnT+/nMH1kyhv\n2ybj7aWXvDm4LCypAa7N4FKZWCyaYly68JE27s3OQGQlBpfGVJ7BQePDMpDuMvqvlXJwCQxpra2m\nbgH9Y70msI+5q4dmcOmvUJ3Bd4M+qGZSmR/d1lYebOA4/eY3JS+aczUg5IwL4OpgwowZJje2kkT5\nnHMk/9YP4ALi37a0SGB7+XJvfwESSLEZ3N5eE7xwMbj0u4hD6Hdp8EqAq1V5WqI8NWXubdmylVix\nYhVqa1fhs59dhf1l+wRwC66Esn2whldn1Icffhhbt27F/fffjyOOOMJ57PbtMuA0ONVSEz+JMhdG\nyjK1/CyIwaXjpAEXAa6ryBTgjWyyKh6NToUuMsW9QFmmny+OrmpXLcDVDC6vx/MMDgqQYQ4uj4tE\nTE7ASSeZyBQBJIte8dquIEJtrbR9wwbztz/+UfKOn3nGyHpGRmRB1w4/UA5wq2Fw9QLN6Jhm3gCz\n0ITD8rz37CnP9QKkWNKKFeUM7oknGkc1kZA+PPZYWZg6OgwgsnNwmevikigHMbi0mTP9AS77jU4k\n4HXA+GzJavf3S58/9ZRXoszKmrfdBrzvfebZMnqun7PN4Or28jzRqGE3bYBLmRMrpIZC3gmeeWuP\nPCIl6OloFIsmgq4ZHp5b52Lpa7a0GAYXkAVUA9yzzhLFAp2L5mbgyCPNYqbHEZmUDRuMo8AxWC2D\nq8c7q5nTNMANhbzsKwGufd+AYXDHxiRgUFdnAm88h18OLr9Hx+v222U/ZUoX43EZJ3Qqr7xSot3a\nSauv9zoP8bgsoraR/Qb8Jcp+DC73xtPgyB5/ep72kygD/gDXxeBqh9YFcPXcyb8VCkZOqY1jZXhY\ngiS/+50EATQgZJEpMlQ2g5tOGyky20dpb02NXJMA97rrZN7l/WazZrsmzeAy2MptHMgZpjvWAAAg\nAElEQVR62gC3psbb35UALmX21QBcMrg62MTnUygIC7NpkwlIc34Cyous6Sr7msHVFZX1te28OkDm\nyWuvlfeQeZ/NzW6JMuB1jJmDC0ifsmYFxxLnQLtIFhlcvSYDUtjyG9+QtjDwUVdn5mAGOTl+9Xyl\nAe7QkMy1BLhsN58hA0l2kamuLkljsnOeNcCNRr3B+kxGUnfI4DLliHPk5KQ3/xEQUEDHX7+3HAN2\nDq4GuKwZ4tdGnot+34YNAkJtv7GmxpvHrgEuINdIpWSODgK4y5Z55wkyhX4Ad3LSqIhoLgbXzsHV\nEmUNqrZuFf+EAJcM7qxZ8nf6JQQuGuDqfmKgIxIplygDZlzpVJL6+vK1yrZk0oCobdukr2bPFoWd\ny+gXuwBuNCp9xLbZgI2mJcqaWOGcTDUEgZr288mSM2jskihv2yZ+T0eHCUQAZpwuWCCM8tiYN5Cj\nd7MAyoMJ3PqHfcxtNV0MLlBe7V1LlEMh6efmZhkLercH2vz5XoA7NSXXtxlcHZi0JcrEJnwndA5u\nf7+3irced3wu9fUmJW5/5uFWBXA/+MEPYmRkBBMTEzjiiCOwePFi/PjHP94vDbj++utxwQUX4KST\nTsKFF16IVu6pY5muoAwEA1ybwSXAHRuTBYsPTk+oQQyuli5QJ85cB+bFAeWsiTYtUdZOcmenLC6U\nCO0vBldHuzIZGdxkkPiicnGYN08WNQLs4WGzh6beosGWXPOeH3hA5Kxr1ggL96tfSc5oba2RWBLg\n2hJlLvjTkSjTgbMlypql0MxDPG4YXLLqvJdvflPu32Zwzz3XbHFRVycM1Z//LM5+e7s/g8sX2Qa4\njNJpgGs77IBborx+vdn6h+Oe59Fshg1w+/rMnpZaopxMSjW/TEaAPAEN+1kvakESZY4NfQ96ISGo\n1Uz4zJneBYnMIot5cFopFATg8nNt2rnU19QA12ZwYzHps7/8RT5vaBA5lM4B4aJnM7ga4PoxuDoH\nFyhncBkk0YysBrjMj5uakj4hu2LfN+CVKGuACxhHyE+izHeFC9BRR5nraYkyc/5+8xtpN531iy6S\nBd3lPNhGmWQi4ZYo19SUV6fXaRl2Hq59LQK1yUn/IlOAN7o9HQZXByn8GFwuyMPD7oAEncYNG0Qq\nfNxx5QFUzeDqKp/FogEzGuAmEibtIB4XhzOZlLGui31wP+T2djMeNYOrAa7N4FKBo9/VIIBLdZQL\n4G7daqSo+hnxehrgco5/8EFhrnUOLtviYnDZpzoHd2LCW+iE1yaDq51WPYfxXW5qckuUWVSP/amd\nzWTS1KxwMbiA+X/2bG+wjFZXJ/Oe9kPI7BcK0i5bogyUM7hAOcAl+8KfNYPL84RC3hx3mga4eh0v\nFORvW7bI/TBIQ6BgF3BkDnq1ANclUWaF6GhUQKDey1uPZTKTBLg2g8uxQuUMZeCaNWtp8RZY0oUx\nf/Mbuf4b3lA9g8sxZwPcIAbXlihzm8jRUVOLY8UKL8Cl3wfI3DA4KH3e2ekGuHw3Ghq8sllt7AcG\nIkMhuabeocFlGuBu3SrXu/VWyc/2O94P4LKoK9fHagCuHlu8T56TvoQuNJlIGDWdH8DdulXm2/PO\nk8Aix6BeVzje+voM7giSKAOGwV23zqTExOPlDK6WLvsxuB0d8t3mZoOfbL9p0SKvGqCvz/veagaX\nwQBbomwDXJ2Dq7e3tAEu7+HAA6VAKQPG+8uqArgbNmxAfX097r77bqxYsQLPP/88fvSjH+2XBhx/\n/PHYuHEjXnzxRVxyySW+x+kKykB1DK4GuOxsDk6gegbXJVHWkhoyxTZrok1LmfSiwD2mNMDN5cTR\n1c4eUJnBtRlKXVRm9mxxhulY6nbOni0v6DXXGCkzt26ohsHdskWYzT/9SViEs86Sl3jJElMRzgVw\nOUkDXoky+xvwlyjzHNrZ5wSg2UoeR4Db1GQcem02g6sd34YGM3mtXSvPzGZwYzHzDF0Mrl34xI/B\n5aS6ebPZVP2ll2QS0n3gkihrgLtzpxxzzDHybNravCzUSy/J+1RTY/K0ggCujuDRuDDoe7DBhS58\nEo+bbVRoZHCzWQFbmzfL53SYteNHI4O7YIEUTTj5ZHPt5mYvg6slyjt3Gue/VAI+9zmTAxXE4G7c\naBYlG+DuK4M7MeHdJqipycxXdP7trX6CAC5ZbkqUORfZRabI4NpOtQa4LK7FOZDfB+T9vu02Of/2\n7d4caNvYfr2HLtuYTJpFj9J+zeAC5RJR+32JRr1sJY/RAQ/AzeBq1kZbNQxuTY2ZQ10SZd0+Atzd\nu2XsNzeXM7h2Dq5WfBDMjI3JNQkudu2SccDAiZ6/tEQ5nZbrptMmuMq1iGk7BKT2czz4YO9cEARw\neU2uT9qp/9WvgI9/3Kh5ggAu36/eXpmjKjG4lBoHAdyxMVMPQufgaomyDXA5l7gY3LY2MzaYV6vf\nM9asqK31sjM8pqlJrsF3jLJT2zjXDw3JnK4ZXLvIFPtOvzuASbXRAJfPUANczeDSyJzSNMDV8xp9\nGTK4fF/6+kzAGjB1Arq6ZH/mXbsMULdBSD5v1tNIRADqrl1egJtKSRtvvlmKybGNTPHg89i6Vdrd\n3Ox1oEsleQZcr8liaoBSWyvvmWbJ2CfPPSeVZunXuAAu30FtPMbF4BIQNDXJ3zWo1hLlUEjA644d\nMg8fcIA8a9b/4LVnzZI+mj1bjtUAV/uHlHKTwfWTKLMomfZN7ftwGXNwAXkeDKrrHGT7eD+AyzQA\njnE/gGv7y4AJIvBZcr3lusexwGD8rl3GB7VzcAlwzzpLwBmDETbAJYtJkqJagHvvvSbtRwNc+v3s\n/yCAS2VVS0s5wOWcsGSJ+BG07du9xEKQRLmlxRTq5DGAzIHEHDt2SDuYrqbHHdeAM84ALrnkdWJw\nU6kUcrkcbr/9dnzkIx9BIpFARnsNfwfTFZQBb0dUysHV0RdGvYHpMbisEKaZBv0dzebYoIWf2UWm\nslkZHBrgatmPH4OrpdEcLDYYYGSZNmuWSKL1MTqS3NgogIHV4bScldd2seS1tfJis0Lst78t5e8B\nAWUvvmgiiowm8bxtbV6Ayxzk6UiUWYwmlzMLfWurF6AmEqbwR3OzWRi1kUnRgJ7W2GgA7vr1ch91\ndfLMhob8GVydg0tnkk5hJYnyL34hlaIBAwAAM3YKBVkc/CTKzz8vk8/ll0ubP/ABr5NOB4H3rh1I\nl0Q5m5XPa6wZo7bWzeBqRkMzuDbAJYOby4lUmEaGzQYggOQiz5kjfXL77cDnPy+fH3aYRLHHx007\ntER57VrZE+6XvxQ5lzY/BrehQaSSfhLl6eTgagaXjmAoJHmTn/+8CbRxweUCpPOkAbPAjY0JcNIM\n7tSUfO5icPP5cokyzQa4BFp8Dxcvlveckql0WtQaN9/snu/Yp2yvDXCbmmR+IGhqaipncO1CUy6A\nq8Ec+7VaibJrfLFP5s+X+RDwFo/hu0LTEmUb4Go5XDwOHH20+Zx9qwEuixjaDC73++T+v/G4zBF0\n2MngAiYXCjA5kEwNIRjVDG4+b1QDrkAF5wRKOf2KTLmqMtOefVbay6IrfI58TjbA5VZvmzbJNVnR\nnm0JYnBtiTKDeSeeaK5tV1HmM6FRFuvH4La1eYPZWqLM50CA29joBrjt7ead0+oZbbyn3bvFQXRJ\nlG0GVzuvLLLnJ1GOxUzxOJ2nTWOawk03iTqLeXVkbPi8NMDls2WFdhvgdnfL9z/zGQEP8bjMSTbA\nJYvEvrnhBuCnPzUAl4E1Brn4nFwS5Wee8SqgNIOrAa5LotzeLu8PgR3HHCBtnD/f+DvLlsk8yb4N\nkigDbga3WJRn0dxs5oWpqXKJMmD8KxaOisdNkEczuPG4gKqeHvEBqaLScnmdg0uA65IoMwfX5bsE\nGX1oQBhv17quLZEw2w3SolGTL8xtrwB/gEs/0ga4fgwuiRWuQZUY3GwWeNObzGd8r/wYXI5BP4my\nBriPPirj4NWNbPYGUCIRE/SsJFE+4QRT1PKww6QIKO8Z8Ae427YFA1wtUT72WFOlXzO4gPihTU3A\nr38NHH64aaNLokx7XRjciy++GIcddhjq6upw1FFHYevWrXvzZ/9exjwHmh2Jq8TgciC3tHgHO88V\nxODSCWdElqXfbblmNQyuBrC5nExkk5MySXGBoUw5KAc3Hq8sUbYZXD+ASxkL70MDXD8GV0uU6SSt\nXy/X4f1zAibwI0sFSGL8O97hraI8a5bpb1fwwiVRjkRk8dfMm2YreRyfH//mYnB1oEM/24YGU5F6\nYsIU7kgkhHGcPdsLcOlcuRhcOqpBAHfnTjkv9xFm0QNAnJZw2Dhafgzu5s0y1kMhmVi1o5FOywRv\nP1s/Bjed9hZu0kYpmz4e8GdwbckxmcVcDnjzm+Uz9pWLYQOAq692F7W4+GIT8bQZ3FhMqnYeeqjk\nXdvfZ8BCS90JMnWxDk72BAgEKHSqCGw5lrQjODBg5iwtg6uvFwWFZnC1RJl9pp1oFmAaHzcAlw6f\ndoJsibJmcP0ArpYo69z4+fPN8Qw22vOgNrafQUHaxIREa7/xDcPg6hzi6TC49pY4+hiOZ1uizLWD\nAEEb++QtbxGmGpACcF1d8nNtrTcCT4fZlYOrGdzjjpM6B/yczioB88SEnKO93Qtw2QcEIwS4XDsY\nOHEBXAISAlyOKw1w+czpuNimc411rjNQzuCyX7WCQFfz5RYhlSTKu3bJevLb38rcVVdXLlHm9mhc\nH7g22EWm+DwHBqSNBIlkXfn89Rym0w30XqtTU/J7EMDVc+qpp8q4cQFcMquZjJu95bmpKpkxw4Cv\n5maTahCUg9vebthtPwaXue47dvgzuBdeKM5yJQZ3506THkKAq6WOPP/hh5vg7OLFcpwNcHt6TJvJ\nvvf0mLUqm/WCXT+Am05LYIVSTy1RLhb9GVyOzaOPlm3PCOzuu8+Agb4+ebfe9jb5/ZJLzDY39PEY\nZNJG5V8lBpd7vuvtITVgfsMbJJBNNlO/AwS4CxZIYIC+76ZNhsHVxiCkLjI1NRUsUXb5uX7GMd7e\nXh3AtVNBADOfsrjlvjC49K0JtqJReWZLlxpAzDVoxgx5Flp5CRiAm06LLwHIzxrg8li2ob9fgGRN\nTfA2QYBc9+67ZQ0iocB5m8ounRbBOd9WyDQ1SRFNAPjiF02hTg1wUynxL6bL4NoVrl0ANxIRZvv+\n+4W80EXNaLb/+7owuB/60IewadMm/OerlZMOOOAAPPjgg/uvFVXYli1GpgkES5RdDC4BLhlcVuvj\ncbqjGbnUVZQBU9RAS5RpqVQwwOXkwxdFT1Z1dUZqyHPpUuw0P4ny1FR1EmVGT/V98m+0fWFwac8+\nW76v2ZYthp0+80zgX/5F/tbZKdfQDO6sWeUMrp9EmZFJAHjrW02/RaPeTdUB4xAefbRUkdUSJhql\n0QQlWjqjGVzAlN5vaBB2gHuvUeblysHlPqLc59f1fAEJ4jz/vCzKBLjcl43GCaa93c3gtrXJImIv\noFxkyODy2doSZZvBbWryB7iVGNxKEmU+61xOFmMWbaBE2QYglUwHrQAvg/v88ybCbhsDFnTG+Z7S\nKfPLwU2lzN63H/mIODk07o3I9mgG15X/SYDKuYoFiNhn2onWzCYLcfE5VgK4BCq2RFlXUdYS5Uym\nvNrlhRfKvXKvTZfZEmVdMIWVYnM5U9ugmhxcF8ANh/23CQK8IEIzuK7xpQsF0s4+20Tqk0lvQRGe\nq5JE+a67pAK1/lxLlFk1tq2tXKLMLWDoVLFtZHCLxcoSZY4N/iPAzWTMeAticBMJ86xoGuAOD5tt\nKTSDy7XlzDMlr5b3FSRR3rHDbHd03HEGyOjAGx1UMrEuBndiwjvGt24179/QUGWJMot48V0rlUwR\nqqAcXN7Hpz4FHHGEP4Nrg2LbYjEJSnd0mLWvUJCUjGeflRoCQTm4eo9zF8DVDNCWLeVVfekHMQXk\nkUf8AW6hIOPshRfKGVzeH9s5a5YEjdrbxZl3AdzeXjP3vuUt8n9vrxfguhhczn0cW6mU+FZcs6cr\nUaafSJbsuuskFQuQdvvlngYxuKy27cfg7t7t3b6PvoSWKAMCcF94oRzgstDg6Kj0+Tvfafp9akrm\nGBsUplISULr4Ynln+a4FFZmaLoMLyM4cW7f6j3n7eN1OnQbAQlz2MfY5bAaXhaM0g3vppQLo7OPD\nYRmfO3d654q6OlN1nc+fDO7UlDfoqxncGTNECdHW5m0nSTPN4I6MeFVmxCj0xwoF8/5GIiboDZSn\nNtrG6zBNguw+GX1K3vW1XQDXhU1cAHdyUuZBGgMGPLe2/c3g+gwNsWuvvXbvz6FQCFNqR+1QKIRP\nf/rT+68lFWx8XJxfmga4zGWjacZPA9xo1DC4jKLxXC6JMkEji+WQweVkox9ONRJlwMvgUkpYXy8A\niguATo53RUk0wM1kzMJrA1Bbojw1VS5jBtwAl9Exm+Xji8z70RM8GQgaGdxHHhH2p7XV+wz5YgPS\n1kMPFaeCg5zSHBeDe+CBpg0nnwzceKNZWNNpr5Q2Hjc5A7Nne2WztLY2ibhr1o3GHFzmc3Fhqq83\n8koyuOm0yafTEuXaWhP51Ayu/YKn0xLpe+ops8BrBpf3Q9ZLP2M6zEccIeDDvg/Nyo+O+kuUbQa3\nqUkWJddirqPlPB7wOnx8T+vrZYHTRuBFR+CKK6S4QpBEOchsBn7lShmTl14qKomgao+s+ptIGCCk\ni7XwvAS4jY3yj2Nav0eASPv4GYMsmsH1A7hcyEIhqXLNPuN7wEI2NO7HyeqcZAb1nKABbjJZWaLM\nqq1BzyCZFLatGony4KC8s2Se6TAMDJh3zmZwZ8zwVhT3A7jcNsU+JhqV62QyBkzH46bgiQYdNF1U\nz8/03MJz7NlTLj0je8kt4HS7XUWmBgflnm2J8siIjDG7wA8ZXKCcwSXbWFsLfPSjcu7f/c6se1TM\nMBJfCeBSxZTNyhjj/qM2wOWe3Rrgrl8v4P7DH/YGh4MA7sEHA48/Lk4eA9Vsy+zZMk9ccUVwkSld\nrfvgg70Ad3CwskSZbevvl/7XaQkMXto5uAyU0rfQ7AyPOeooU0QKCGZwt2/3AtyxMQE23/oW8O53\nCxtqM7isOUKQFCRRBmScZrPeGic8lkqkI48U2WQ6Ldf/5CfN+CBga26W5082jIoxu75FZ6ecj9X9\nXQB3YMCsN1deKdf95jclAEyAS/m1vf8mq1Ozb4eGzBgLkiiTxXSpUhg40kVy+vr8A6ZBABeQMeLH\n4HZ3G1WdfgYsKsXzLV4sTN/8+W4GVxcOA6Rfdu1yz3uplICcL3xBFFL/+7/m+WprbJRnY/vclYxj\nYMkSkaxyGzI/43vpSj2knJqS3+kwuDNmePeH1t+lclD73Z2dMo5tifKxx3oBaG2tt3CoXaOhv1+e\nt50aBZSnhnF7Hqa0AObd1lsr6f7n+GRgOij4oAPIJCiam+X5z5wpc45OF6PvwjbG4+UAl++VC+Au\nXOgd61z3XKTJ35XBzWQyGB0dxejoaNnPf+8c3AULyjfF1pE4V6SHA5j/NINrPxyXRFk7oclkuURZ\nn6MaiTLbpp1kMriA+d/eoJrmx+C6pJwugMt22v2kJcqMvGoGl2XKuVDGYuZ+eD4uphrgcqPyq64S\niYRtlN8Acg+nny6LGLenoNRXA1xKxt76VrMFxmmnyffovOpFFTC5KZxIXAxubS3ws5/5A1w66G1t\nZvJqaBD2lgEQvTeflrZpBrdUMg6FXxT0zW+WBSufN3lv2kHmBNPQIM/4wQclyqi3Hbn+erNpOs1m\n5TXArcTg+hUTshlcDS4AL4N7++2GbdfHj48byfTll4vzt68Mro6c8v9DD5Xr9PWVy/C0NTSIc5FK\nmedoM7h0ItjXCxYYZ8C2972vPFJp5+DafaElyoCMSUbcOf+5AG5jowlUsMKifk/p6I2O+kuU+T2y\n0sy7tp0cGqtZViNRHhw0AF87xQMDRoJK8MM2H3OM7CFLswNCdG5bW/1zcGfNMsEgPoeODglYuYC7\n3uOzWovHhRWwx9acOVIcp7a2fE90m8EtleQdaGvzjhEGGpnTaQNcvT4BhnkoFIxEub1dQIfN4NbW\nTo/BpWOvt7HTALe+Xp4h00EAE+A57DBpx8aNlSXKO3bIM7rwQmHvEgnjlLN2ww9/KIEwu8iUTgeh\nRHn1anEsX365OoB7zDEm9+3AA81+7nxn9Jrtkijr91rnMnIuOPFEqSNgr6G2EeB2dnoZ3HjcgFEt\nUSaDy8AcWRibwdXVUAEZt297W/l7TvawUJC5jG1tapJnQ6O6oK5OHHnOIQMD3v5gO2fOlKIyq1eb\nbf5sgKvzyvndvr5yBjcSqZyDC5gxRh/qyiuNRFlXUbb9PhrBj3bigxhcW6Vnm4vBpXO/e7cJqPIZ\nkAgYGvJKlG0Gd2zMsIh9fd5rzJ7tPa829tOBB3rVjfZxLS0miLUvDO6KFd6UikrHu1SDOmjlaqM+\nh83gRiKm0jwLcNE4x2mASMCn5wrX86TPbo8djjemr7nMJhZYxNSuORSLiXKDvogL4AKVnw2/pwsp\nzpplZMouiTLVXcD0GNzTTjPbr7FfNF6x2/l3ZXBXrVq1/670Gs1mfipJlLmguHJwbYC7ZIkXmNkR\ndsAAXEqUBwe9bJBmcP0kyoB3m6BsVqI1dXVeVpH5gHYkhhOgC+DaUWBKZmn19aaIEy2ZlIGsHTMW\nrtJyVrJJdDD0AsIJ/qCDvIn/PNfVV8t1KHPSFol4y4rrSS+ZlBdj1y6zUMdiJrL7uc95++WKKwRA\n8TkwRwswL5ZmI/yijy6Ay3taubJ80dVbTnFPVp3nMzlpGA2yCpVkPkcdJXlH27bJYmezaJxgFi+W\nfrvuOolmzpsXLP1hZFE/W/ZHUA5uU5N3U25tZKz18YAX4LrYfhordff3e2WkBEKvlcGl8Z2uBHDX\nrpV+1QwulR+6bfodsSVHLmN7qmVw7eCZHq+sIknj9l5kZimZJGAGpP0vvCD9zSJTtuyd/7e1mfxe\nv0WZ7Rga8h9zWpFCQD487AVNU1PSDga79Jx33HHC/Ok9W10Mbmur5Jax8jyPOeEEWZivv16eKQNR\nra1yHde96YBetZZISPTbHltz58r8ZcvyYzHv+hKJmH09EwnDPhWLck6tINLyUBfABcz6YVdw1cql\nXE4cpZER+T8I4NbUSF9zTuMWLXaRKa4Lvb3mnaAT2dEhgbtHHjE5an4M7s6dwl5cd518Nm+eBMbC\nYbNtCyDX0Tm4msFlcDQcljG0fXs5g6uLEer3i3mUgIDdP/9ZKqVqBpdiNgaSeQ9kcGkuBpfjk9W4\ngyTKZHA5fxHgdnaa9CnOG/RrEgkB0B/6kGmjBriAAUSAjFN9zzSyh2Nj0g9LlrjnOg1wt26V31Mp\nWfv4PvGYmhoZb+GwUXW5GFxutURj8MQlUe7vLwe4XJNcALenB/ja14RFXLZMxgLZXAYR7LlZO/Da\nZ6kkUXZVUeb92GkfDO6QRNDPgMHywUFT/G7uXLmXXbskhYJBSoJizq20WbMqA1zWufGTKM+ZI4zm\nwoX7xuCuWGGCm9Uc72Jw2Z8HHVR+jDYXgwtIHwwPyzxir6s2IG5vN9ssptMS6HEFfNNpU6RSz6Ns\nA3dwcZkdTFi2DPjLX8r9MPpvbLO+J11oqpJEmX9razMBVALcww+XMajVaPG4vE86+Ksl0rxPqu5o\nkYi8d8z9JX6ZnPSmcmj7uzK4tGKxiPvuuw+f/vSncc455+Dcc8/Fueeeu/9aUYXxpaZxMNApsiXK\nZB60PDkalYFqO5CXXCJVZml6YrerIlKizMp1NM3gukAL28cqyixAwIVBO1vMP6qWwbXBIa/HPfv4\nXVYQpqVSsiBpZlznZfJ37QTwPnk/vOcDDxSwbpd9//znRR7qKgdvM7i6bYmEFKF55hmvY9Df7520\ntWmJss3gAsEMrj6Hi8EFZEG++mrv59yonNfQjlso5N22pVoG933vA37yE5lcX3pJ2mtLrllZmbLB\n1av9t5ughULi+GjpKFCe46YXjFNOEeeOfWObXw4uPwsKJtBYvVLLQ4OKTAUZr2s/Q7YhCLA1NIhT\nsHy5cfgbGmRBZP+7AG41ZjO41UiUaS6Ay+rdgPzf2moCcGRiOecBki7Q2SnOsh+Dy/8vuki2DOO1\n/CyZlEXV710iILEBrpZzAl5ljF6ca2uFfed2WX4SZQIrXYAPEJB0+unmMwbrwuHyQnS6rxnQq9YS\nCXEO7C3c6+vln6t4TzZrJOThsDj5dGw1g0tgEI9Lhfq3vjVYogwYZ8cucKPHRD5vtlPjeugCuFw/\n9Zxw7LEid7aLTLF/d+82MrsFC2TerKkRxmX9erlXvZuBzeC+8op3be3oEEluOCz9SWezt9ebg+sq\nMsV2z59vGFxK5v0YXG1HHy0AFzDzq11vQ+eU2QyuC+DawfggifIrr7gZ3HBYgppMRaiv9wJdfd5Y\nLBjg/ud/mjxN+/oE1cmkBJFsUAaYMVpbK8+W6zD7AzBFHBMJb5EdFlGzAe7wcHkwGSgvMkUVRz5v\nagvYRaYAt0SZ6hGydq4iUzTN4OoqsPuSgwsAf/iDKXyl+/Gll7yKuiAGNxyWYMFzz5nnqYObzc3e\neez4481z5ljkusa+pirOD+DOnStBl+kyuDoYXCkQD1SWKM+evW85uID0WUODjCk/gKvB9MiIwRR3\n3um+Fhlce87VDK6f32r7XSwMqk37lbZKDvAyuNVKlE84wdwPi9BOTRk5Nc0mDbSvYN+nnRts3wPN\nD+AuWDB9ny/IqgK4V155JX7zm9/g17/+NQ455BBs2LAB7a6Z7m9oNoMLmMnKzgdwMbhaotzWZiq2\nukwzuH4SZRvgVsvgUqKsJz86QjTmUdmRGOZB6W2CghjcfN5sX1JTI4PWVfBAmw1w9YKtAa5eQGIx\nYUimOyQ0wLUBA++VkwvvKQjg0on96EcFyOnPeT3e074AXDt/s7HRVJbVL78uwFfDawIAACAASURB\nVEGAS6fLBrh+Y2XhQunPF18sv18yuMzBzWaF7X3sscoLx49/bNrnJ1HWi1pXl4BcfY/aKuXg2sXJ\nXJZKGZaK9/daJcp2W7Ucz88aGqTfUynZ+mHhQgncsNQ+z7MvAJf3UYnB1WoTmg4oAQbgEkTU1kre\n9V13yfcpmSSgAaR/3/9+cZ78tgni/2QwuUeyn5FJDpLzNjSYWgGAF+BynqZE2WZwASlKd+GFwlT4\nAVzOzatWye/2wsv7am42zkdHh79EeV/GnA3KaNzOShsZT46fcFjmNQJczeByno/HxSGuJFEGzD7J\nlCjr6xLMEpSx6v0HPuCdM2mU/3JOaGgQoPi975VLlAlw6SDV1EiA4vHH5bvcp7O3V8ZuPC4FvPR7\n1NYmY8rVl5GIrGfXXCMpL9zzU+fg2kWm2G7uaVkqSdsGB/2LTGk77DApTsdK76mUyGsp2dXvG5+D\nDXCnptwMLn+eTg6uzg9dvtxc68QTpU9d69e115pCTVqeqOcGlxH8MHfdzzSDqyuxA941hkEUnavu\nAiHxeLmMVW/dZjO4TE+48kph2/T6zuvTYdd909/vDTwHSZQpX2XglRYEcDWJYZtdSZffefllb/+4\nGFx9vrlzJWikAS59XVsCfdRRUq0fMGNRpyvNnesFz/o4GhncoOrfLtM1ApYte20Mbiol5/ADUrQg\nBpeBR/1dHq/XIA1wg4w5uPacy3Pan2tzpYbZpkk53rf2CWwGtxqAm0iYoOy8eUJ2kRTTzycU8gZA\ngwCu3mbR9vv0O+UnUf7Wt2R3lf1lVQmx/vCHP+CJJ57Agw8+iEsvvRRnn302Tj311P3XiirMNSGQ\nFnfl4GoG15YoNzXJXph+xmiwKweXoMzF4CaTXgmBfU6gfJugVEpeeg1iKDGzB6relL2+vjoGt77e\nyHVbWipPSjbA7egwFdAoUdYLemenVN474ADDZlZrdGoBt0QZ8Eoao1ETdXUZF1ZGIWk2g0vG0O8c\nfhJl21G95ppy1p6RNjp+NoOrJcoEEX7W3i7VLe2JMR73AtzRUXFUN22SPVUrmZ3Lcs458hxZ5dae\naO0InjYW3rKPnQ7AZd60LvpGBoYgrlqrxOBWArjMbdMl9Sn1A0zRmb81g6vfez+J8rJlZpuPmhpx\nPrR8SQNcALjgAnGKP/xhea9cEmX9jIPYJcDk9QY5v42NXoeM1WtpiYSRKNsMLiCM5T/8g4AkF8Cl\no5VOy+Ko70XfTywGPPmkmbNZTdO29nbg97/3vx+XcXF3gbK5c8vfcQJCznGaweXaAxjmWVeF5fUA\nA3AJQmmUfdpOFccDlSXhsMwbPT3+xXJ4bs4JTU2yjjz2mAHH+n7YTm61U1tr3rn2di/ArakxWzHR\nrrhCHHbXPEYGd9EiAfuPP+7NwdVzLdNBdFCT2/S1tkobqmFwYzF5rj09sjd5c7OAXhrXWT2n2gCX\nbfdjcINycLdtMxJl+jps6xe/aL67erVpr/0+6oI+/K6WwQYZAWRQ0EcDXP7OeUMDqHgcuOUW73Zj\nBLj0i/j9nh6vIsJmcPluRCLGv7n+eiOLtgGuZnBpZNtsgFtJorw/GFyXxeOyBp9wgvmMDC79JDsl\nZM4c4OGH5b2keod+hQ1wtWmAm8nIuvCpT5m/+zG4DLCtWeNVs1UyrdZZtsy7bVzQ8fa7AohcfuVK\nL2nkd4583tR0oZHB5RxlH18smueaSlUPcEdHgwGu3zjw62ttWpXoArgLF0q9B6D6Ksq6T+bPN3vv\n2tXUAS+DbJMY/EwD3L6+fWNw97dVxeCGw2GEQiEceuihuP/++zE8PIycrmD0dzC/Tuek72JwbYD7\nyU9WDwDsAiuVGNxPfEIKNdjsCy2IwfWTKNtsBjcb55YU1RSZqq83f2turjzZ2gC3tVUq9fGcNoOb\nTALf+Y4kk//0p8Hnto1OLVDOQvP6o6PlDK7fovKmN0mRItv2l0TZBkezZnkjy/yfoM5mFfQ+uNzb\nMsj8GFyOHy1RXrBAFsdqQJd2+gDJdVy82M3gAsEA12YX7cmvGomyVj/wemRw92cOLuAfHAFkrFeq\n7qgjnfsCcKthcKsBuJTo2cEx7UTbAHfOHOCDH5TP+vu9c44rKhuNVmZwx8eDxzEZXJrtLCSTwQwu\nIA7J7t3BDO7cuWYPZBtA8770fN3e7r63UMhsCVSt8Rq2RBnwZ3D1PtSRiJfB1RLlWMzL2gLlEmX7\nPlpbZX2ynWs7eBKJlBdasc1mcJuaRP00d66AL85zDDzG4yZgEY16x2Z7u7w7zHd0WTIpsjm/aqP8\n3owZ3hxc1ojge8V8bD3nc2s2FjbSADeoD1pbpZDf6tWyf7s2SpSDGFzAm9dtj+GgHFwGL/lzLGYC\ngUuXlud3Nze7x6E+J4+rBuBGIv4FBmlaosxr+DG4Z55Z/n66GFxXkSkez35kQJDXaWyULXxWrPBK\n92tqzPftCsJaWcUqyi6J8msBuH7HuL5jM7gkVOgn2Qwun7/N4Mbj1QNcQNY17TsFga65c+W+bIl1\nkPE5JJPAeeeJciPINEFlt7mrSxQULqCnjc/MngfJ4FYjUea8EQQ+ATn/6Gi5FDmRMFvZ+b1vfmy5\ntu99z+y37LrvlSsl6ABUL1G2Ae7LL3u3X9LmkkhXYnBdAFfXNLLP8bewqgDu+eefj4GBAVx22WX4\n2te+hlNOOQVXXXXVa774XXfdheXLlyMcDmPdunWBxzIZWpsfwLWlyVxs/+mf3OexjcyAnmCZg0tQ\nZgPcI44QkMEF3zY+SM3gMqcnSKJsM7hDQ2a/1UoS5VzOFLAC9o3B1UYG13a4Aa/EtFrj5M0Kqy4G\nl8fxnoIkyq2tZhLQtr+KTAVtMaNffi68vD8unjoHV1el87OZM4HNm90bxbM9zDuaP9+79U+Q2Yub\n/bk9mbOv/pYSZd1unYP7Wqso02IxA6T87MorhUEKsvnzxUknIJluu6phcBcv9u5Dp6W1gLcuwDnn\nlEvaAANuXYtmMingwK/IlD5XJYCr781l73qXd/sRLVHmPdj7i9vjhcxfEMB96CHD4NrV9u37AoQV\nm+7Y8rNEwuydaptdxI/tDmJwx8cNQCN40G3lPTU1yecugLtjh7RHj3eOCb0WkYX1Mx0k5jUPO8xs\nX8S1dc8eU8CR78U993jBVkeHOFFtbdPLcaZRogzImNAAF/CyqfG4zIsugDtrlmENKzG4gNzDc88J\n82QDSgLcoBxcwF+iHARw+VwIcF3b19i2ZIm38rjfOY8+2l340XV8pXmYMnrN4NqOrGb3tRFU6Htj\nDq5dZArwB7izZklg6phjTJCQvlZTk1dFoc9brUSZ7awW4NokRjWWSAgDffjh5jMGyf0kykEA1wVU\naLYPYK8TQbLZOXOEKKrEamojQRQKyXukVRBB33FJlHXQKKggIIMnVDzSVqyQANoZZ4i0X1/PrqLs\n1z+2+UmUY7HyYl+2VQNwOzvLfSs9bx99tBTI/OAHRUJeDcDV7+P8+ZL/3d/vj7Vs8sAGuCwy5Qdw\nGZAH/n4MblVD9PxXhfvNzc1YwzDBfrCDDjoId999Ny644IKKx/pFFXI5M9BpLgZ3Oi8jHSfbqQwq\nMqW/W0miTAdebxNkA1xWFtTnamyUYiZ0VOrrJeJSSaLMAi8nnFDZqePi4HJsKTl785vL98zbF6Ok\nprnZOEo0fX1OALGY3C+3JKrWXAyuXynygw6SiU8bn02QvNUlUdYAl88smzXnqQRw58yR/C/bEeH9\n6BxcFmHbFwaX5jfRshiOazJqaHA739NhcClR1ucoFgXwTJfBZdVXF4Mb9PyA6hyRefPE2e3rc9cF\n8LNEwsj7AbcTxTFy5ZXez+fPF2aCpqtNs9IsTTvRNoOr29Lb+9oZXN0OP7v8cgnS0GyJcjUMbkeH\nvAeubYJGRuR+WJhj27bye7Xvi+fcX8Us4nH/Strnnefdro1tITAHTA7uQQeZLTq4lyXBg77vWAy4\n9VbDFroA7ubN5U4Vwa3eo5Xgyc84L3NcrVolzA23xuJ6NzlpGGUey7xPWkuL3Nt00w5oXV0GMJPB\nnT07GODyb3Reo1EDCqqRKLPdGza4a0zYEmWbwdVMmJ9EOQjgxmJyz6zaXM3ujEHBA97nUUdVp2bT\nYNLP4nFT4ZvXSKUMawcYBtc2Phdu6cTz2QwuwZENcPnzzJle5YUO5ti+I+finh4TeJ6c9EqUXQwu\nAS6Lj3KrLZfti0T5ggukoOOSJeYzm8G1C0lyO5fGRgFXuZwBu9NhcO11IojBnTNn+uloujBbteYH\ncO2gXZBEmfJgvdYdfrg3iEBz5exqlU2QaYmynncpjw6692oArja2TT+z+npRn/3+9+WEn20uBpfv\nyEsvubEWq7X7Xb9aBre2Vubt/1MA9xqW1AQQUrPnl770pdd08aXT0Dg05buBbu9n8XAbsluHEIm0\nAt279n4eGYwiHGpGODuKyEQckfEpRMfGge7q9u6NDoSRy7WjrXkc6O4FACTRhNqJAsJ9BUwUW7Cn\nexJtGAa6vcmcsUg7YqNDQLcXQcWGQwA6ESlkEc8WUBxJIjsSRXq0Hwd2RhDLR4DuLACgfjKJkd1x\nFPMxxAb7gW6Z3RrG49i2pR6N9TVAdw/mRoCpiXbcd/cYZjUC6B4291CoQ6lUh0Wdo1jUCaB7BGce\n9eofrX60LZ3qQHJ8FOge9Xz+pgUxLGquwXvfPlbVeSpZZDSJzJ4EgCRSyUmg2yTFJUNNaGmKoX8w\njMjIANA9hlixHn09CdQdWPDcayWLF2sB1CPc3wt0jyM1XovRYg3QPVJ27JI6YMnp3nuLADh1ZTNa\nCgO+9xzPJgA0Iz7aj0QojWg4ikhoCl+4rIjHn4risAVZpJL1GO4bRzKXQSzWjFh4Euju8W33nEQU\npVIb6iJ5oNvsCxOfagaQQGNpD0YzLcjnQ5jXMASgCakx6asgi2akralR6Y+99zkYBdCG8Mgg0J33\nfifSgfhkwdMOAPj4qSHkjw8B3ZIIFZsAgJmI9u8GMIlEqQ7RiUjZ97SlapqQjoWB7j45x2gCheEk\nSqUQErlcxfuxLRbrRCI/5LmHWKkeDek40L1nWuey7YBYCNu3d+LwQ4qI9PZV/b14oRb1tWnk8zWY\neGUXxnpSSExEPeM4PtGAyGQE6O4v+34LsHfsJUfCANoRn8qX9WtkqhVADNE93YiFWhEdyZTNRYno\nDLzSHUZ9vnfv3BIvpAE0IDZkxkQ03I5kqOj77JKjMl7i46POd4kWHZD2AsDwjgwioaSZV6NtqMMY\nIkMFjOfqUCrFEd3TDSgnvSOewJ+2JVHIxxAb2ANEZaxFSw0YGUogOZ7bO7fPjcDzjsZHZN6NjWc9\nfT07lUBdJBk4Lqu1RKgZbQ01e8evtg4ASHjbFB1vxMjuKSRq5FmHS03o2x1B4yFjQHcGsWgHitt6\nUBxtRmwkg3Q4jdgk9rY1BOBjJ8s544VaJKNJz7huCafwxKNpzJs15WlTbLIZ0XwRNTVTABoQzgyh\nvXkS0am0c8wBQHgojmhNA8ITEwDiOHJuN6IloDnRACCN6NAeRPNxAPVoqRlEPJRGLDXlPF8NgLaW\ndsxoKAHdA9PqYwA4Yo78QzdQPwUUCp3IDJQQGZJ1OBZpRyZTg0hfDxKxNuR6cwgXQkD3CFJjQC7X\niURsEnPqMgAaEckOIzGQBTATsf5dQGHKed3WZD3+9Nck3veOfNk4j4ymMDXViGhR3oFUIYkEEnuf\nVSSTBNCEcC6DSGYcQJPnWtHQDKQnc2VrLQDEJpswsz2Kmt3yrnzh4jp843t1sln3PlpsrPw9D7Jo\nuB1AGLG+bl+9XzzUgjRKqBsvAWhCPNOH1HgUqUTt3vUtWdOMeLZ8Lk9mo8gPN6AUmUIqlwG6i0iM\n12N4OI1kKbO3X2oA1NV2IDE2jAimADQjURxBdCIKIIkvX9KHpYvGzTo0EkU00oJodhjNdWnPe1Cb\nnIFF88bR05NAeqwPhax45KniKIrZNMb6CkgmpjzPJJGJYGSgCUAU+eEialNh5PNh1I71Ad1FRz8D\nxWInRgdLSOfK/USXdQDoqIN3rkArxncNY3y0FoCggvRoz955e048gnSqFdE9uxEbqMHkZAcioXHE\nw1Noiead4woAIq/Oi7XRMQAJRPp7gKTZ7y/cJ3N2eMw7bwLARe+LIBqd2tuGamx+HPjqZ5NlfkWQ\nJaIzEM2bdyM6VgegDpG+3UDk1TUg0oFILrPXd/Z8f6gG+WwbRkZqUD+6C6jwCJK5EPK5dhSH8ohm\nS0B3Dqkx8ZXCuUwgfqjNhTE61ILMjixqQxFPnyXiHahNTPj6HuGsPItwqXw9d1k0mwLQiNiw9x3+\n438CP/lFCudf3ihzzKR7PuN6HBvYDcSlH0MA5s9uw5MPF9GcQNkzj4fbEA9NAt39iI1Kn8SyxteM\njwNjY53I92VRH6kBkEJkaI9n3MfRgrpEDYAoklM5ACnEBnu84ygcnn612gCrCuCm0+m9wLa/vx/3\n3HMPVq5cud8aUY198xAT1loZi2FlPI543++QOfvriJb+Q8K7r1qkeDAiQz9A+N9+jEjxWERCI4g+\n9Dyw+vqqrhWdmAHgaSR2bQW6jgMAvDHzaSz88zpE/t/zmOi7B3u6pzDjnPcAkR3e7/avRfSfLwcS\na7yfTyYBbEH4rjsQ+681KOQ+jmzpQKTeexreFt6NtwHAq/k9dfl3IDP2TpRKhyD2nncDkZ0AgMbi\nCmwb+DnmhncCXScgBOCkzL/hltvfg/9p/iDwP4bmiWU+A+AzmPeLa/GZ2u8D0yickh5Zi+T3fwz8\n9CbP53trH0yjuECQRXLvRTb/XgArkcru8TzDd+XOQmPxSPwE70fkC58Frvk9YpnPoXv0QrT96mbg\n/murvk589JMArkLkg+8Doi/g/eMHIDeVBH67qepz/B4Ajg64xtjJAG5D7FOfQDz7T4iOL0MUJTxy\n9xRenFiA6NdWIZ25AsPrxxD91BVIl36AWO8w0HWU7znnTLQC+Ctq778b6Prs3s9jg7cAeAcaPv5u\nDI/8GUnk0XHNPwFYjdTnLgaufjDwXiKvtjV11juByHbzeekgAPchctUXgK//l+c7sbENiN//P0DX\nZZ7P6179RwsDCGM7oievBGpGkMhcguj4cqDLX6WRHLwRqckZQJdsxhgfOxmF3EdQmIoj+eSNwL88\nHHg/tsULGxG/6grg6/fu/Sw6chUaiiuArjMCvlnZ6gE0h57DP2z+b6DLkfDt16bRf0Iq91HEJjtQ\neNMxGMt+FInJWcADq8wxw19BdHwR0PXBwHMlJ5oBPIfEH/8b6PqU52/Rvl8DeBOib+5CtP/XiF7y\nHSD+Z88xid6HMTm5CHXvegtQIwtqLHsugK8i9v4zgMhWOVfvo0g+vA7outDdjtIbAKxBbPXtwH9/\nxbe90YmZAJ4AAAx//w5ECicCXcdIW/p+i7pXfofwT9dibOQaRLAcocO7PN9vLxyJ3ZnPoTi+GLHT\nTtzb5ujw15HJn4nkD/8NuOMG57UTUzEAWxH79Z3Ag/+y9/MzpiI4aSoNdFUfKPOzxOAPMGMqDHRV\nt3VedOhaZKaSSEw2A11nITz4Q/QXD0HjjpuBn/8Q8bH1GDvmJBQHbkf8E1chnT0PNaFJoOuS8muP\nfgLJ/HuBrlP3ftaaPw0bhn6AsxL3AF0XmesO/Aixxx9FKDQF4MuIfOVqnJz8DTpLS4Gup51tDReO\nRXTkK4js3AXgeESO7AJCQNPIvwC4CNGPnoVoYSWAq9B81UWIZz+FxtCIb1+0D/wP2h7dCHRdWlVf\n+VkIwIzxteheH0H4vPOA2DpEh9ZhaqoD0VPfgnj/fcjeej9ioRLwu2sQnwJKxR3I7xnFnG98EsDP\nEb7u24h8/8eIYitix78ZCJUDFQBozfwzdoxejvY7rgd+e6Pnb9HcBwBch8idPwN+vwqHjy9ETelg\noEsKV0Ty7wRwM8K33IRI5GUAN3muFd3zR6S+fyfw05vLrhsdvBGzJzqBrncDAL4yVYOz2+YDXVv2\nud+i2fMAfAXx93nnfj+L9K1FDK2oeVOX7zHxgZ8i/de/ou6X6wDchtiF5yFVWo7U6EVAl1BlXygc\nieVf3Axc6XXgk6UDkR+6FjWYQvqCK4DYXxHPXIHJycuQvOHbwK0/2ntsfXYtEl/+KiIYB/ADxP/9\nO4gWDwXwbhx04bFoqlHBwtJBiGZ/juiXr0bz2BlA10f3/u1/J9px3brz8QAuRO1FH0dx6HsIYQqp\nVf+K0uilKGx5GE01e4DbzTNJlBZhcOAuAO3I//V5pKfqsQdzUXf+WUB0Q3k/T9WgUNiB7PqtSJ9z\nARDdXHZMNRbpuwelj30VE6MXApB3PP3uU4CwgKXFUwlcVnMJ0PUtxF5dFyI7tyFeM4KWG38K3Poz\n93lf9UfTjz0I4DRETj8NCBuCIfzqnB35xR3A/d50xH0R78UBnAMA367+O8nehxG56Q7gdnnnoplP\nA/gsIqf9f/bOOz6K4v3jnyu5XHoDkpAgISE0ASWAKDWKYAHEAhYQBAHRnxQFQVARRKQpRUUU7CDY\nEL8gUgVpUkJPCC2k90pIz+Xunt8fy1727vZacpdLYN6v173ubsvM7O7szDzzlBkEyLgJNEX5Rcg/\n+wz4br3x+VovFBfEQgLAtY/p+qs7niSoqkqHatsuKHYdBlZugXtVNIDNkH+7DvhtpclzPTRBKCvY\nibLl38FT6w3sWazbpyy/AM+kNKDHMNFzZaQEkAT5v/uAHq9aLKdLxfMAVsJl1LOAyzXddgWAQeoQ\nAKfgMrA/IDUW+gHA5dYxrkNq+1IAiLjxNWISQvGg4j/g0CK9c1zz98A1pRDoMQquVQ8C2ATFO7OA\nD3cB4ARJqTYVZZu2w0dSCWAC5C+/BChq+xVl0QZ4ab0A9ILbzi0AxsL1iUcAWR4OVlfjoErFmR/Y\ncwlaqgOFhYXUt29fq459+OGHqXPnzkaf7du3646Jjo6mM2fOmEzDVDH79CH63/+IfH31t58/TxQe\nTrR6NdHQoUSjRxMtXmxVcYmISKMhevppol69jPdlZBAFBxO5uRGVlRnvb9OG6J9/jLerVEQA0Ztv\nEu3bRzRwIJG3N9GNG8bH7tpFNHgwUVAQUVZW7fb4eC6N3r1rt/3wA1FAAJe+kEWLuGM//dS6axbS\nrh3R55/bfp6tbNrEPUOA6LnnjPd/8QW3b9s27v+CBdz/tWtty+fTT7nzrlypf5lNsWcPl8exY0TP\nPEMUEUHUvj1Rs2bc9k2biCIjiZo3Jzp8mCg0lKhjR/NpajRECgXR9On620eN4tLMzCSSSrk8zp/n\nth08aLmsO3dyx+bk6G8/d47b/vvvxue0aEE0aZLltImIhg0jqq7mfq9YQfTCC+aPHz+e6LHHav/v\n3k00aBBR377cvbKV5s2J/vpLf9ucOUSPPmp7WmJ07060Zo1t53z2GVGXLkQ+Ptw7v3gxVyYhb71F\n9PjjltMqLeWe0/jxxvv69yeSy7nfX37J1RFD7rmHO59/RvyxAFFqau22yEiiceNMlyMpiTvnnXfM\nlzcriztOKuXSa9++dt+AAdy9PH6cqHNnrl015MoVorZtiTw9iUpKardPm8alu3q16by1Wu4Yw3fI\nnrzwAtHEidYf/8orREOGcB8iopEjiVxdib7/nvvfpg3R9evcczp7lnvvJkwQT2vNGqIHHtDfdugQ\nd83z5ulvf/ZZrl3n29WNGy2X9cABoq5duXfHxaV2+5IlXBrx8USrVnG/Y2K4fuull0ynN3gw0cyZ\nlvO1hqgoIomE6NQp7v9dd3HluHmTq2PjxhHNmlV7vLs7d/ylS9xxX3zBbY+LM5/PmjXc8fzzEbJx\nI7dPmI+QLVu4/R99RPTbb9xvjaZ2/7331pbDkBdfJHr+efNls5W1a7kypKdbd3ybNkReXuaPeeIJ\n7voOHKitB999p/+em+LSJe64Dh2430RECxdy6Xz1lf6xnToRbd1K9OefteOAMWO43xUV+sfGxhIF\nBhKdPs21vYZ88AF3Xmws1xe3bk20YwfXJ7/+uvE5yclESiV3Trt2XFsFcO+pKby9uU9SkuX7YIr+\n/bk+/bHHuPz4+i1GcTG3v2NHru/cssV0ulVV3LGjR4uPBTIzue1vvFH3steXrl2JPvmk9v9HH3Fl\nKiys3RYUZHqMy19j8+bW56lQEA0fTvTzz9z/w4e5NBYtMn9ecTH3rOfONT72rruIHn7Y9Lm8bGBp\nnMSzYQN3/NWr4vs3b+b6PVNkZIjXowULuD5aTFa6/35uXEfEyTeA8RjLw4NoxAii997j9huKdE89\nVVuP33jD+FkKqaNoaoQNnqm1VFZWoqTEtEmakH379tUlC6tQKjmbd0N7c95niPd7MeUXawqplFsS\nQOwSZbLa9abEfCtMRVEWBpsQBpkSS0O4TJChDy6g70v47LPcsjiG1ydmJ28tHh62RYitK3J5rf/o\nL78Y7zf0f+CvyVYLBkMfXEdg6IPL+33fuDVBxvta8ZFHDYMziSGVcj5mYlGU+W/eN5z3a6uPD665\nwBKGkX3NsV2g/LV2mSDhe1CfIFN8WcX8Wy354FrL1KnAgAG2ncMvncG/+2KROoU+ZeYQBpkyhPeh\nB7igemLw/jTC5+moIFN8OgDnSygWZIr3wa2sFK9jQUG1gTOE5RFGujQFH/zOkdEalUrTPrhi8EEM\n+XNkMq5O8D5zfn6cD6IwyJRKXLlo0gcX4JbTEcK/w0IfXEsIfXCF7zEfiETYt/I+uOYCOQYF1d0H\n15AWLbghv6FvK++Daxj9lA80FRpae22A5XgS/P005YMr/DbEMMgUHyOARxhx2BCFwq7Wero0hd+W\nMBV7QYjhMkH8NVnje8r7shIZ+/Qb1ms+3gPvjyoMMmVYRt4Ht3t37mMIX1Y+yJRcbnkdXH45vMrK\n2jpuzreyY0duOS1rfXDFEC4TJJFw98lUesLo6A8/DHTtaj5doG4+uA2F4nzo0QAAIABJREFUpSBT\ngHkfXL6tE/rfWoKPemzYt9gSRdnwneUDKZrC1nttqc15wbwBmKgPLsD58PKxFAwRCzJlmL9SyfVb\n5nxwhbEKxMpgb6wScLt06aL7XV1dDa1Wi0WLFpk5w3aIj6JgA4aBJHjatwe++YYLBiOMomwLEon4\ngJgPjMQ79xtiSpjmA/XwQaZKS2u3GcIvEyQWRRnQj97q5sYFfRIrB19eWxGuueVIeAHXlBBjGMGu\nrgKuYRRlRyB0wOeFOn5JKaBWqOU7Uw8P68rTqpXpKMq80OzhUTsIs0bANWxkeMw1tHx0aFvp0cN8\nBEHAOIoyH6CjLssE8efXJciUtbz0ku3nKJW1a0Hm5XHvt+FAX9gBmINfukXseVgzmadUGnf69RFw\nLXVSfHkCA40F3PBwri2Vy/WXWxHCl3XkSP1z+eB5jz1mPn9HC7heXvqRrC2hUHDPnw92xL9v/MCC\nX0ZMGGTK1HrZtgi4PXpwk6F8IC5r2h8fH648hstc8GUV1jfDKMpiTJtm3UoG1sD3A4b9Ax9FVhhF\nGahtYzw9a6/JGviJBzHBXCxwlNh+XsA1rId8vyCGh4ftwXwsYauAKwzEZQp+AG8YRdmavshUkCl+\nn5CXX+YCsV28WHscX/8M34+gIONgkUL4NoUXcHnB0dw6uDxVVbV9sjnBpVOn+gu4fFR1jYa7n/y6\nz2II67+lNWr5+1WXKMoNhTUCrqmVAoDaoGS2CLhubpyAa2uQKf7dLigAunXT32dJwOWfRX2CTNmC\nKQGXL3ddlgkCuOu8ebN2nCUmAAuDzvHpOhKrbulff/2l+61UKhFkaxhbE/z555+YNm0aCgoKMGTI\nEHTr1g27du2y+nxXV3ENrkzGhQG/coWrNMIIf/WFb1xMzdj7+poeSPOzTQqFcbh3IfwyQYYRRd3d\nufOtWZ7E0iyPOby8GlaDa0pg5e+PMIoy0Dg1uEKtKt/xCvMTRsvkBzX8AvXmCAszrk/ChoYXcF1c\nuIbJWg2u2MynJQ1uXRqj++6zvK6oWBRlXstZFwGXX4tYSKtWDTNpYwqhBnfSJK5tWrDA+BhrOzlT\ny26IDaINEYbr53FUFGW+TAD33hYV6b8Xa2+5NMbGikeDB7iBSng4F2VUiEzGaWd4jZwplErHCriL\nFtnWzvIaXMOJN6EG98aNWg1u585cOylGu3ZcRFwh/v7cPTOM8j39ltvr5ltuedbUta5dgV27atdP\n5jHU4PJrjVrS4Ipp0+oKL3Dy9084AFYqjSe/+YjuEglXF61916zR4JpKSyjg8hNThuebarM//ND+\nA0BTGk9zx1s69v33ubrLRwtXKLhI24MHW05fuDSLJQF34kTu+8qV2uNcXMQFcB8fbu1QU/Dtn3BF\nBaEGVyyKMg8v4Eok5tvHu++2fIwlhBpcNzfzYwbeOsCaes2vG21KwG0MGlxD6y+x8Yk5DS7A3bP6\nCLjWLhMEcHUiJ8dY1rAk4ALGa/6aoz5je/48udx4UqhVK67vMLVMkDUCblGRdevgKpXAa685fgLF\nbPJFRVykQ2+DGsJv9ze30JYVPPXUU3jqqafqfL4pAZeHrzSLF9vvRloScP/5x/SMp1CDm5trerkb\nUybKvFbZGgFXOJtnK6tXWx402gNeG26qAzVlolzfZYIcgdB8g2+YDZeuEpoD8QvMW2LZMuOJEKGJ\niNAUbOtW/fVTTcGbY4ltB+yrwbUGb299E0x+maC6mij378+tiyikLlpXe9K7N3fP336bM7c1XOcR\nML2sjxiGy5HwWCvg2kODK2zPzMFfU4sW3DqoYstX8K4fpt7t8+eNr+sr47g8ojSEBtcW+OWN+PvG\nv3d8d8oLuLwG9/nnTacltuSFXA4cPmx6IpC/F7aYxBkKZ4YaXH9/rr175BFOuGkIeAFXqEWVyWrN\n0m/eNNbgCvsQWwVcMQ2urSbKhvVw4kTTa4Lay+JEiCM0uLylgHAiOjwcmDfP9Dk8bm7cGICoNh9T\na5nz8PnwSwbVpY/w8qrV9KtUXJru7txvU2uU81RWcu3n3r2mLSsATsB1dzd/jCUMNbiWJsVt6UOE\nAm5TNVE2p8EF6qbBLSy03UQZ4Pq1xERxAddSH9GQAq67Ozcpa4hEAsyZw1lJGCIUcM2ZKF+7Vmt1\nYng9vKXV6tXcvrX68focgtlbGhUVBYlEAiJCWloaXG9dWXV1NVq3bo3k5GTHl9AMlgTcBx7gKp09\nNTf8QzMl4FpaEJ1vVKurTQsjXl6c+Z1UavximdMQC6nPS9Cune3n1AWZjJtlNzVAFjNRrst6aoYD\nSUcgnN3iZ5Z5XzdPT/2Zer5jscYqX2yQqlDU1g2hgGutX6iwYxNibj02Rwq4r75aa8rN58X74Nbl\n3V23zn5lsxetWnGfefM4E2VAfBBl7fvKmzsbYq2JsikNrvBcSwIuYHp9SyFCDe7Nm+J1Wi7n3gdT\nc6ZieZhb71OIozW4tmJKgys0UeZ9cOta7r59Te+ry+SnoXDGz/Lz7j982ceMMT7XUYgJuPxvpZJb\nTUd4jUIB9+67rfebDgwEXn9d/FlY6mcN18E1TGP0aOvKYC+EfYc1uLhY108BxhpYa9PntZz8+2xK\ng8vDP1NzGlxLeHnVTohotVx/4+Zm2kSZN3etqqo1E374YfN5dO1qm+uCGEINrru75WdhSaNpmLah\nlRxPYxBwPT316xJfVwx92C1pcG2ZKOJ9cG01UQa4iZ6//zbuW63V4Nrqg1vXvkEq5SbaxZhlYmEI\nazW4NTVAmzbcf8N7Nnw4p+EV2+cozGaTkpICAJg2bRruuecejL7VGv/88884e/aswwtnCV7ANXWz\nOnbkPvbEkgbXHHyDylcMU/415l7ahtDgNhR8421JwBXODNcl6EZDmyjzGlyJhLuG0FBxE2VTgWOs\nyUvYANvq42PKLM5ZGlzDxl9oolyXwUtjxtWVG6wAxtf2yCPmA4MIqa+JspgGVxiACLBOwDUlaAuR\nSrkPL+CK1S9DIc+eOFqDaysuLvrWCTIZ9zz498/QRNkR+fP5WouhBtfQRFlMK+9oDAVcofbK3Z2b\nRBBeo3Ay5gvxVaVEcXEB1qwR32fJV9FQg1tXrYu9cHGx7V2Qy62fSJLJOM24re5NYi4q/HZTZeKP\nq6+Ay2v7q6rMmygD+oGmrBlXtWwJXDJeQcgmeA0ub6Js6VnURcDl22ch5ia7G4rly/X7KTFtrSM0\nuFVVte8IX7esuQ+Rkdx3XUyU+VhB1lBfDW5dENPgGrYj/DHNmpmuh/WJDVQXrDKe2Lt3L8aPHw+l\nUgmlUomXXnrJodGRrcWSBtcR1EfAVSj0TfrMmZN+/bW4D4uvr+N9cBsKYUclhpiJcl0E3IYIMiWc\n1eI7Xrmc60gXLOD86AxNlOs66DYUcG3VaEdEALNnG283J+Ba44tlL3gNrthMelNH+MwNry08HOhj\nZq1lIaZMlOsTZEosAI41Glxr6oWLC/fu1tSImyHzdc8RglJj0+AaDp5kMv3rNjRRdlT+9dHgenvX\ntmEtWwL33GPfMlqDYZAp4WDXw8O8ibK9qK+JckNj60SlrQJkYqLtE65iUfT57WIIxw11NVH29jbW\nhPEaKFMTq8JttgiR9YFXAvAmypYmD2wVcL29xaPtNwYNruFkiZgw6wgfXD4vgBP8+dg3luAF3Lpq\ncBsqyFRdEI45TeWvVHLKHH7SqDEIuFZlM2TIELzxxhsYN24ciAgbN27EkCFDHF02i5haJsiR1FfA\nFXZy5gTcceO4jyETJgC9elnOq6ErUl2wJOAamii3aQNER9uejzM0uHyZPT2B557jfhuaKNd1sCMU\nRuqiwfX0rA3YIcRZJsqGuLrWmgnVx3+pMeLqynUAAQH1E97ro8F1czM2dauPgGtNPXZxqdW4zZhh\nvP9O0+AC+toB4XX7+nLROPl9jsrflvbQUPsolXLCjKsrcP/93KehEQsyJRRwS0tNmyjbC1sFXGdP\nOIu95+aQy22rJ3UJTmlKwDXVPtpDgxsczJmdA7Waf4XCvAaXb+v4lRAaAkMNrqVnYauAq1SKWzM0\nBgHXkIbS4ALGwV2tuQ+mNLjDhon7tQqx1URZTOvuSKw1UeZj96xYId6XN0oBd968efjuu+8wZ84c\nAMBjjz2Gl19+2aEFswZnaHB5H4D6mChbo8E1xahR1h3njFkeW7FWg8u/+D16cB9baSgBl49gyHe8\nRPqNnaGJcn00uEJTvPosQyDEWSbKYnlVVTkmyIqzUSg4AaZ799rgNXXBnIBrjQZXbCbcsD5On84t\ndWEOa0yUAS6QTs+ewMqV4sKQYaAle9LYNLiGAq6YBjc313FltjXIFH+sYb2y9xqttsL3wUINLl9G\nPsaBKRNle2GLgOvvX3+fzPpiq4myNRYh9aWuJsq8K1BdBFylEvjgg9r8eHNlmYwbU5rS4Hp5cUGI\nGmyAbqDBtZSvrQKuqWfLj3Mbk4JETJjt0IGbrDCFrRpc/rkbCrj1MVF+8UXL59oaZKqhx/UDB9Ze\nlykTZaWytv+eNEk8HT4IYENNnFh1S319fTFjxgzMEJt6dyKurlyQooZ+2DKZ4zW49eV20ODyHVx9\nr6EhBFw3N+C337jffMdLpG+u4igTZXsJuOY0uB4e9svHEvzzssYUv6nh6sp1Art2We/bJoanp7i2\nxJoBbFSUdRrcgQMtl8PDw7oB5qFD3Pebb4rvN1wqx540dg0uL/zw8AKuoyaU6tI3NAbzWkMUCi5w\nCd8uCQf3YsFzHKHBtcUHt21bwNmeXY42Ua4L9TFRtofrjNB328WFe/fEJtqcIeAKNbgNKeACtmkV\nGwJeQSTE3FJQQN01uML74uFh3T1t1QoYMqRuVgyNXcAdOrT2tzUaXHNY0rrbE7PZTJ8+HZ9++imG\nDRtmtE8ikWD79u0OK5g18BpcsfD9jkQur58GVybjgl+1amX/sgnzEn43RvjGylQHZYv/gzkaIoqy\nRAI88wz3OySEm7zIyBDX4Mrl3KLadR3MC4WRiAj71SNzGty1a23rKOpbjpdeAqZMaZj8GhKFghNg\n6iPcAsCqVeLtnjWCyMiRxtv8/OqmXVq3zni91brgSA3uqFG1i9g3BixpcH19HSvg2kuD2xj43/9q\nfwsHfny725hMlBsDfn629Tu8RZIjcYYPrhChRRQf4dycgAs0oAZKrr8OrqX6ezsLuLYEYuKZMMG2\n+AD1MVGWyYAdO2wrn/BcWwRcZ042mlrT28vLOqVdoxFwx44dCwCYOXOm0T5JfUdodoAXcA3XvHQ0\nnTubN4swBR9kCqh/dD1r8gKatgYXsL5xMUdDBJkSMngw9xk9Wl/AFWpwLS0xYA5hh2wq3HtdMKeN\naMgoqRIJ8MMPDZdfQ8JrcOuLqY6krn5+ISHA8eO2n2evKPWO9MFt6KVYLGEYZMrTU7+d8PPjfNAd\nZc5aVw1uYxRwhRj64ALON1FubL6MrVsDJ05Yf3xDaXANTZQlEsuTBvXxwRViqMEVRjQ3LCc/7G1o\nDa5Gw/XBDS3gNqbxY10Eo+HDbTvelIDr6Ptgy2SCsL46i0cfNZ6AWrrUunex0Qi43bt3BwBECyL7\n1NTUIDc3F6HW6KIdjIcHF22yoR92TEzdzrOl8akvTUGDa42AO3Jk3bTlQvgOs6HnZAw7X1vWVDOH\no0wuG9tg7HaE1+A6CmfP7tYVRwq4jQ2+TebbvZkz9dumZs24T1aWY/Kvqwa3sdcrQx9coOGiKFtj\notxYsCU4jbM0uOaWxHG0gGsq9gPveiQsg6MRanCnTLE86XU7a3AbQjDi65Lwvvj5Od49yxbtdGAg\n8NZbji2PJcQ01da6lDWkgGtVUxcdHY2SkhJUV1ejU6dOePTRR7F06dJ6Zz5r1ix07NgRUVFReOON\nN1BZWWnT+c2acQJuY5plMoeYD4GjuB2CTAGcaaxh2HVbUSqds9yMXG5sosw72dcHWyNhWktjDCxx\nu2EvDa4pmoKmTQy+zjljPdWGxtBEWanUbwOlUuDqVWDrVsfkX9dlghp7vRLzwWUmyvXDHj6uljAU\ncA01uoYIxw2DBgGTJ9cvf6FFlEJhug0SLvfiDA2usJymsEXAnTkTaNfO9P47UcAV0+D+9BPw0EOO\nzdcWbbmrq/MF3PrQkHKQVQLujRs34O3tjZ9//hlPPfUU4uLi8D+h80sdGTx4MOLj43H69GmUl5dj\n8+bNNp3PRyFt7B0vjzM0uI1ZWLFGwLUHSiVw8aJj8xDDUMD18LBPXbV27dG6YOuyEAzbUCgcL+A2\ndk2bGHeiBtfcpJu/P/DUU47N/3bU4Da0ibIwgrO5/U21TbWHj6slDAXcoCDzwbjk8tqJ2Natgb59\n65e/oQbXnIDLT7Y7Q4NrTZ62jDHHjTOvPLgdTJRtRUzA9fJy/JI8je1eO5JGp8H18fFBUlISfvzx\nR7z44ouQSCSoqKiod+aDBg2CVCqFVCrFI488gkN8qE0raWoCrqnFjx1BUzBR5jv9htCuhoc7Pg9D\n5HL9DsRevhy9ewNff13/dMS4kxpaZzBgQN3WcrYWZ0RYtAdyOfDCC/W31mgKWCPgOpLbVYNrjYmy\nva+BaXDrj6HGViIB7r3X9PG82bS9XI4MBVxTk2xubs7T4KrV1tUheypRGttkd8uWQL9+js1DqWzY\nZWx4Gpu23JE0Gh9cnnnz5uHll19G37590bVrVyQmJiKSX/TJTnz99deYOHGiTec0NQF3yZKGWzvw\ndgky1ZR5/HH92WB7DbBcXID27eufjhiNrVO73XjyScem31Q1uBIJYKMBT5PF2QJuXTW4jb2fFQ7u\nxQSRwYPNm2TWhabog2sLCoXj62nz5rathOHtDaxYYb/8DaMom9LgzpjBucStWdOwUZR5E2V7a3At\n0diErsBAYP16x+bhCCsPa7iTFAuNTsAdNGgQBg0apPsfERGBP/74w6oMBg0ahJycHKPtixcv1i0/\ntHDhQnh5eWGk2PoVt1iwYIHud3R0NKKjo+Hryw2MmkrFsMdyGtbSFDS4d4KAK8ReJsqOpLF1agzb\naKpBpu4kDKMoOyt/WzW4jb1eWdLg8sG77J2n8NuQpi7gvvmm6eV67MXChbYdL5MBr71mv/ytNVHu\n1AlIS+N+N6QGlzdRbmgN7p0kdPEwAdfxiPngHjx4EAcPHrR7Xlbd0uTkZCxfvhwnTpzAuXPnEBsb\ni+3bt+O9996zeO4+Cyub//DDD9izZw/2799v9jihgMsjk3HmJI1daHAGzAe38REaCnzxhbNLYZ71\n6+0/CGQ0HB073hlmvk2ZpqjBbSomyuaCTDmC290H9667HJ+Ho/0bLWGtiTK/H2hYH1xbNbj2ek/v\nxMluNzfntHN30r1WKo0nEXilJc8HH3xgl7ysaloWLFig07YCQJcuXfDzzz/XO/Pdu3fj448/xvbt\n26GsY2/frFnj73idwe0SRfl2QiYDRoxwdinMM3Kk8wccjLrz2GPApEnOLgXDHM4WcHmrJ1sG6VFR\njvd/qy+Wgkw5AqnUfOR5tvRa48faKMpAwwu4Qg3unW6i3BCICV8Nga3tcVNm82agR4+Gycuqoey1\na9fwuMDeUqvVQmGHWjB16lSUlZXh4YcfRrdu3fB///d/NqfBBFxxmAaXwWAwGh/OFnD5MtgyeH3w\nQeC55xxXHnsg1F7xQYsaYoBuLrBbU9fg3gkI642bG+cTbApnaHBVKoDIuolnZqJcP5iJsuOJiGg4\nJYpVt7Rv3744c+YMAKC6uhpffvklHnnkkXpnnpCQUO80mIArTlPQ4PKdPhNwGQzGnUJjEHCHDNFf\nwux2QKjBlcm4+9sQg0ZzAq5U6pyorAzrEQq4333HLVNkCmdocKuqrM/vdo6i3BA400T5ThFwGxKr\n5Og33ngDa9euRU5ODsLDwxEfH49p06Y5umxWERDAKoYYMlnjD8DFNLgMBuNOozFMPv7+++3X7hoK\nmh4eDTNAt+SffCcKCk0JoYlyaKj5MVNd/Nfrg1zOCbjW5vfoo/Zbhu5ONFF2d3eeBvdOu9cNgVXi\nT0hICL799lvU1NTozJN/++03PNcIbJaCgvTXUGNwSCTA4cONO/IlP7t9uw20GAwGwxQuLrXrLTLs\nh+HyE56eDTNo9PExH2mYCbiNG1u0nvxxjVWDO3Cg/fK+E7WKnTsDP/7Y8Pneife6ITB7S1UqFfbu\n3Yt///0X9957L8aMGYMdO3Zg9uzZaNu2baMQcOfMYQMFU/Tt6+wSWIZftJ3BYDDuBBpibdE7kR49\n9Ce7PTwaZtB4/jzg62t6PxNwGze2RB6uS4C2+mCrBtee3IlaRZkM6Nmz4fO9917OeoBhX8y+pnPm\nzEFiYiIGDBiADRs24KeffkJhYSE2bdqEbt26NVQZzcKWxGjaMAGXwWDcSTRvDvz1l7NLcftxzz3c\nh+fFF4E2bRyfrznhFmACbmNHaKJsDYaWAo7EVg2uPWnb1nzALYb9WL7c2SW4PTH72hw8eBAxMTGQ\ny+WYMGECQkNDkZmZCW9v74YqH+M2hwm4DAbjTkIiaRrWNU2duXOdXQKOO1ET1pSwde3YhhRweQ2u\nMwRcO6wEymA4FbNBpogI8ltvlo+PD9q2bcuEW4ZdkcmYgMtgMBiM2xOmwW3c+PgAtgxrnaHBZfWH\nwbAds69pbGwsvAQ2wJWVlbr/EokEJSUlji0d47YnKMi2zoXBYDAYjKaCXN5w6z4ybOellwC12vrj\nbV1Duj44U4PLYDR1zL42Go2mocrBuEO5fNnZJWAwGAwGwzE88gjQrJmzS8Ewha1Bo5yhwWVB6RgM\n22HzQgwGg8FgMBgO4JtvnF0Chj1xhg+up2fD5Mdg3E4wwxkGg8FgMBgMBsMCDa3BraxkJsoMRl1w\nqoA7b9483HPPPbo1dgsLC51ZHAaDwWAwGAwGQ5SG1uBWV7MgUwxGXXCqgDt79mxcuHAB58+fR2Rk\nJD799FNnFofBYDAYDAaDwRBl3LiGWV8ZqF2+iGlwGQzbceprw0dkVqvVKC8vh4+PjzOLw2AwGAwG\ng8FgiDJzZsPlxQu2TIPLYNiO031w3333XQQFBeHo0aN46623nF0cBoPBYDAYDAbDqYSEcN+Zmc4t\nB4PRFJEQETkyg0GDBiEnJ8do++LFizFs2DAAQEVFBd59910AwKpVq4wLKZFg/vz5uv/R0dGIjo52\nTIEZDAaDwWAwGAwn060bcP484NiROoPhPA4ePIiDBw/q/n/wwQewh2jqcAHXWuLi4jBp0iScOHHC\naJ9EIrHLxTIYDAaDwWAwGE2BM2eA778H1qxxdkkYjIbBXjKfU31wExISEBkZCbVajZ9//hlPP/20\nM4vDYDAYDAaDwWA0Crp35z4MBsM2nOqDO3fuXHTp0gW9e/eGWq3GpEmTnFkcBoPBYDAYDAaDwWA0\nYRqNibI5mIkyg8FgMBgMBoPBYNy+2Evmc3oUZQaDwWAwGAwGg8FgMOwBE3AZDAaDwWAwGAwGg3Fb\nwARcBoPBYDAYDAaDwWDcFjABl8FgMBgMBoPBYDAYtwVMwGUwGAwGg8FgMBgMxm0BE3AZDAaDwWAw\nGAwGg3FbwARcBoPBYDAYDAaDwWDcFjABl8FgMBgMBoPBYDAYtwVMwGUwGAwGg8FgMBgMxm2B0wXc\nFStWQCqVoqioyNlFYTAYBhw8eNDZRWAw7kjYu8dgOA/2/jEYTRunCrjp6enYt28fWrdu7cxiMBgM\nE7BOnsFwDuzdYzCcB3v/GIymjVMF3BkzZmD58uXOLAKDwWAwGAwGg8FgMG4TnCbgbtu2DaGhoeja\ntauzisBgMBgMBoPBYDAYjNsICRGRoxIfNGgQcnJyjLZ/9NFHWLx4Mfbu3Qtvb2+0adMGp0+fRkBA\ngHghJRJHFZHBYDAYDAaDwWAwGI0Ae4imDhVwTXHx4kUMHDgQ7u7uAICMjAyEhIQgJiYGLVq0MC6k\nRGKXi2UwGLaxYMECLFiwwNnFYDDuONi7x2A4D/b+MRjOwV4yn9wOZbGZzp07Izc3V/e/TZs2OHPm\nDPz9/Z1RHAaDwWAwGAwGg8Fg3AY4fZkggJkgMxgMBoPBYDAYDAaj/jhFg2tIUlKSs4vAYDBEiI6O\ndnYRGIw7EvbuMRjOg71/DEbTxik+uLbCfHAZDAaDwWAwbl++//57jBo1Cq6urs4uCoPBcBL2kvmY\ngMtgMBgMBoPBcBpEBE9PT8TExODuu+92dnEYDIv4+/vjxo0bzi5Gk8XPzw9FRUVG2+0l8zUKH1wG\ng8FgMBgMMbKysrB9+3ZnF8NhxMTE3PGT+Hl5eaioqEB+fr6zi8JgWMWNGzdAROxTx4+jJwduWwE3\nMTERH3/8sbOL0ajZvn37Hd+pmiM+Ph4FBQXOLgaDwWDc0Rw6dAirVq1ydjEcglarRd++fXH58mVn\nF8WpJCcnA4Ben7thwwa88847zioSg8FowjQ5AVelUuGrr76yKJidO3cOv//+u93zz8jI0Mt769at\neP/99+2ej6O5dOkShg8fjpycHGcXpUHQarU4dOiQTee8//77+PDDDx1UIgaDwWBYQ35+PgoLC+2a\n5v79+1FaWmrXNOtCQUEBampqbO6fbjf4YKNCDW5sbOwdL/g3BWpqavDff/85uxgAgJKSEly/ft3Z\nxWA0ApqcgHv58mW89tprOHz4sMljKisrUVhYiMLCQpw8eRJHjhyxmG5xcTHUarXF4/r3749Lly7p\n/q9fvx7//POP0XHZ2dm4//77odVq9bYnJCRYlY+j+e677wBAbz1icyQnJ2Pnzp2OLJJDuXr1Kp55\n5hmbzsnIyMCGDRtQUVHhoFIxGAxG4yUtLc3ZRQDgGAF31qxZ2LNnj+i+3377DefOnbNrfqbIysoC\nABw8eNDuaW/atAlnz561e7qOICkpCRKJRE/ATUlJuWMm4Zsyhw4dwuOPP46amhqbz1Wr1Rg9ejTK\ny8vtUpZffvkFEydOtOrYw4cPIy0tDVFRUUhISLBL/ozGQ5MTcBM07rv6AAAgAElEQVQSEuDm5oYV\nK1aI7t+yZQtCQ0NRUFCAoqIibN26Fb/++isuXryIsrIy3XEajQZXr17VaWMnTpyI77//HlVVVfjk\nk0+MBFMAqK6uRkpKCvLy8gBwne6RI0dw5coVI41yfHw8Tp48aTQrO3r0aJOd6t69e3H16lW9bXl5\neaK+R3wZ6srWrVvRqlUrqzuPdevW4bPPPtP9v3jxIrZv3y56n8xRXl6Ozz//XG+SwBxarRZhYWEo\nKSkx2ldVVWW1iXVRUREKCwtRWVlpdVkzMjLQrFkzhww8GAwGozGTlJSE3r17O7sYADgtZ2FhoVF7\nX15ejoiICGg0GpvTzM/PR1xcnOi+DRs2YNu2bXUqqxjTp0/H4MGDRfdlZmaiU6dOOHDgAP777796\nmWIbChjff/899u/fb3M6MTExWLZsWZ3LUReSkpLQqVMnPRPllJQUqyfhxaiLwHW7kZ2djcmTJ5vc\nr1Kp8Ntvv+lt2717N9LT082m++abb+LChQsAuPpSUlKCQ4cO4ebNmzaV78qVK9i8eTN+/fVXo30T\nJkzAmTNnzJ4/c+ZMpKSk6P4nJibixIkTqKqq0jsuJycH3bt319v2ySef4I8//sDFixdx8uRJk3k8\n88wzFsvRmCEieHl56d2nxsLXX3/tsLSbnIB77do1PPfcczh8+LBRZ3fhwgW89tprKC8vR1JSEoqL\ni5GVlYXc3FxMnz4d27Ztg0ajwZtvvomDBw+iU6dO6NixI44fP47r169j//79mDJlCmbNmiXqe5mc\nnAwi0s0kHzlyBA8++CCICAUFBdiyZQvS0tIQGxuL69evQ6lU4scff9RLIz8/H+fPnxe9tuXLlxv5\nDa9ZswYTJkzQ68CJCB07dqzzjFNpaSlyc3PRr18/qwXcHTt2IDs7W/d/zJgxeP7553HixAmb8l62\nbBlmzZpl1KCa4saNG0hNTRU13xo2bBh2794NgDNL+fLLL02mw0dqy8jIAADs3LkTx44d0zumurpa\nt02tViM/Px8PPfQQm9ljMBh3HJmZmcjPz69TnIZffvnFrOXLxx9/jIsXLwLg2t3Nmzdjx44dJq2b\n8vPzUV1dbZRmdnY2kpKSTJokfvLJJ0YDXQC6PjsuLg5EZGRemZaWpitffVGpVPjiiy/w77//6k0I\n//fff0hNTUVWVhbuv/9+DB48GA8++CDWrFmD+Ph4nfAAAI8//rhFwWHr1q2IiIjQ23bt2jVdn2fI\nypUrMW/ePNF9+/btw7Jly0wKiGVlZXYf8CcnJ6NXr16iGly+DhIRPv/8c6smNE6ePGlyUsHebN26\nFV9//TXi4uJMBs75/fffRYU4gJvId5Rl35kzZ7Bhwwa9ujd58mTExMQA4KwiDQXgmTNn4sCBA3j2\n2Wf16qGQHTt26Kz6YmJi0K5dOwwfPhzPPfec7hitVosOHTqYrIN8+Vq2bIn169cb7Ttx4oTeBE1c\nXBzmzJmjd8yvv/6qJyQlJiaiurpaT2B98sknsXv3bpw9e1ZP0ZWZmYljx46hpqbGrMXGiRMn8MEH\nH5jc39gICwuDu7s7vLy84OXlBR8fHyQkJCAsLAwAMG7cOJPvfkMzdepUlJaWoqamxu7vgMME3Jdf\nfhmBgYHo0qWLyWPmzp2L8PBwdO/eHVeuXLEq3YSEBPTu3Rtubm56M0zV1dUYMWIEPv/8c7Ru3Vo3\nM3vlyhXk5uYiKysLKSkpuHz5MlavXo2jR49i/PjxGD9+PL744gukpqbqXth27dqJvpB8J8oLuNev\nX0f79u3RoUMHXL16FcuXL8eBAwfQp08f/O9//8Prr7+OXbt24dSpU7o0CgsLRRsMIsKFCxewZcsW\nnZZRq9Vi48aNICIsWLAA//77ry6NoqKiOvvsxMfHo2PHjggJCdGbHc3PzxedLU1NTUVycrLOlArg\nOp6RI0fqymQtFy9exODBg4001cK8hAMLvrMTm4WOi4vTCbjHjx/Xe2Hz8/P1GjJDAXfTpk1YuXIl\nAO4+f/vttzhw4ABeeuklANxsX0BAQL0mEhgMBqOpkpOTA5VKVSfTwenTp5sdMK5atQpDhw5FZWUl\ndu/ejffeew/vvfee0aCrtLQUEydO1PUDhmbK/HZTg/D58+eLCqrl5eWoqqpCXFwcEhMTER0drWfd\nY08B98aNG/D394e3t7de+WfPno0///wTWVlZaNmyJVauXIkPPvgAWVlZWLx4sW7Qnp+fj127duHa\ntWvQaDR64x7eikmtVmPixInIzc3FhQsXsHnzZlRUVCA9PR3p6ekgIsydO1dP+IqLi9NzOyouLkaf\nPn3Qo0cPxMfHo7i42GT//uuvv6Jv3742TXC/8847emMIQ5KSknDffffplAulpaWoqKiAVCrV+Uqf\nP38e06ZNQ05ODoqLi0Wtq4gIx44dQ0JCAq5du6bbnp6ernf/09PTMW3aNLNlttZC7ffff8e2bdsw\ndepUrF27Fo888oiubqakpGDjxo348ssvMXnyZHz11VcoLi7WnctPgLz66qtW5WUJXljgSUhIQFVV\nFVJTUwFwY6HvvvsO8fHxAKC7l3yZsrOzcenSJRQVFWHnzp0YN26c0YSCVqtFWloajh49CgA4deoU\nVqxYgbFjxyImJkbn2nD16lVcvXrVbAT006dPY/r06bo8heTk5OgEcYDzyf7f//4HgNPOazQa5OXl\n4YcfftCVJSkpCQ899JCublRXV2P79u1Ys2aNbj9PZmYmDh06BKlUqtdeXbp0Cbt27QJQOxl2+PBh\nnZKnsQdnlUgk2LFjB0pLS1FaWoqSkhIEBQU5u1iieHt74++//8bbb79t0jK3rjhMwB0/frxO+BAj\nJiYGR44cwenTp/HWW2/hrbfesirdhIQEtGvXDl27dtUzL1qzZg3at2+P559/HsHBwbqXlxdwMzMz\nkZKSopt13Lt3LyIiIhAdHY2TJ0+ipqYGLVq0wMyZMxEZGakn4Go0GqjValEBt23btmjfvj2uXLmC\nxMREXLhwAWVlZdi3bx969eqF5cuX48033wTANWSlpaWiGtzc3FwQEaKiorBv3z4AnCAqk8kwefJk\nLFq0SOc3y7+gYr7FmZmZejO9fDhuYTCNixcvonPnzggKCtLT4M6fPx+zZs3SS6+4uBgnT57Eww8/\njOLiYqhUKpSUlEClUmHEiBFWC7hEhPLycly5cgVPPvkkrl69ijlz5hhpkFevXo3HHntMZ5JcUFAA\nT09P/PLLLzqBFABu3ryJ3NxcneB7+fJlFBYWIi0tDWlpaZg2bRqGDh2qa+j5hpMfHKSkpGDXrl2o\nrKzEvn37MHHiRPz9999ITU1FbGwsNmzYgNDQUERGRloMWCA2m/zvv//qGmIAmDRpkl6nxpOSkmJ3\n3zIGg8GoL3zbnJWVJSqYEBH++OMPXfRbnvLycuTl5Zn0362oqEBRURG8vb0RHx+PmJgYjB07FosW\nLTISik+fPo1vv/0WiYmJUCgUNgm4VVVVqKioEJ08LygoQHBwMDIyMhAfHw+1Wo3Tp08D4PoWlUqF\n1NRUI+1vRUWFqNVTTk4O5s2bh6qqKsTHx2PgwIHYtGmTrk/x8/NDixYtdMJ8WVkZYmJikJ6erhNw\nAwMDMXfuXERGRuLPP//U3T/+2lJSUnDgwAE9reSLL76IJUuWICkpCX5+fmjXrh2++OILLFmyBNev\nX4dEIkFGRgZOnjyJpUuXYsqUKbpzk5OTce7cOV3fuHjxYkRERCA7Oxv79u3DU089ZeROtWrVKrz1\n1lu4ePEi+vfvj2HDhmHr1q26/URk0gVr/fr1RlZTPCqVCjk5OYiKitI909TUVISFhSE4OFh3z3/6\n6ScAnIvWL7/8grlz5xqltXHjRvTp0wdXrlxBdna2bgwwcuRIhIWF6erDhQsX8MMPP5gUVk6ePInu\n3btbJcwcP34csbGxOHfuHFasWIG9e/fq3LB++uknTJkyBTExMZg3bx6WL1+OHTt2AOA05W3atMH6\n9eutnlBZv369Wbep119/HRs3bgTAuezxygT+urdu3Qq1Wo28vDyMHDlSNwnAC8AHDhwAUDvB5erq\nqjeWAbjxqkwmw7Fjx3D9+nVoNBoMGTIEX375JZ5++mm0adMGzz//PP777z80a9bMyNx/9+7dOHHi\nBMrKynDkyBH06tULvXr1wpIlS9CvXz/8/PPPqK6uRlFREWJiYnD9+nX83//9H/Ly8pCcnAyNRoPJ\nkydj1apVcHNzw5QpUzBy5Ejs3r0biYmJePnll3X3KDU1FUSEM2fOQCqV6sZzNTU1yMvLQ35+Pvr1\n64dz587pnvW6devw3nvvAeCsAxUKBaKiohAbG4s5c+Y0mGWAPZFKpUhMTMT69euxefNmLF++HF5e\nXhg+fLhTy7Vw4UL88ccfOHTokEnr1rriMAG3X79+8PPzM7n/5MmTGDFiBPz9/fHCCy9YFSlPrVbj\n6tWriIyMRNeuXREbGwuAe2E//vhjnfQfHByMiooKyGQylJWVITU1FaWlpUhJScHp06chlUpx8uRJ\nhIeHo0OHDrh+/Tpat26NPXv2YNq0aQgJCUFmZib279+PLl266F6869evIyQkRNch8AJup06dcOTI\nERQVFelMnbRaLdq2bYvRo0cjIyMDM2bMwK5du+Dv74/MzEw97SLAzUx17doVAwYM0HUCSUlJ6Nix\nI9566y38+OOPugYwKSkJnTt31gu0tX79egwdOhS9evVCWFgY9u/fj/z8fISHh+O3337DgAEDQET4\n9ttvsW7dOnTu3BmBgYF6nfWePXvw999/Q61Wo6SkBAcPHkRQUBCOHz+Oe+65B4GBgTh16hTOnDmD\n1q1bo3///qK+DmJs2bIFffr0QXJyMoYOHYrLly/j448/1nUCZWVl2L9/P2JiYuDh4aEzV+HNhBcs\nWIDVq1fr0ktISECXLl2QmZmJrKwsXf2ZNWsWXnvtNZw9exbl5eXo378/8vLyUFRUBKlUin379uH3\n339HSkoKQkJCsH37dnz22Wdwd3fHL7/8gpqaGixduhTvvfceQkJCLAq4RIRu3boZ+RHs3r0bf/31\nl64u/PjjjzpzOH6Gmojw9NNPo1OnTizqH4PBaFTwfcPXX3+N119/3Wg/b8XzxBNP6G3nB8qmfPhS\nUlLQunVrdOzYEdeuXUNMTAzuu+8+tGvXzshahp+QzszMRNu2bUUF3ICAAN3AaMOGDejVq5ee4CYm\n4Obn5yM4OBjt27fXaTGPHTuG33//HStWrEBYWBgiIiKMzl23bh0mTJiAhQsXIiwsDJMnT0ZlZSVG\njBiBX3/9FRMnTsR3332HwsJCbNiwAWPGjMGuXbvg6+uLwMBA/PXXX1i3bh2OHj2q08byAi7P3Xff\njcrKSt19FAq4ly5dwpUrV3RC4MmTJ/Hxxx/j6NGj6NSpE8LCwrBz505cunQJ58+fR/fu3ZGRkYHN\nmzfj7bffxpYtWxAXF4d58+YhJSUFEREROHToECoqKrBu3TosXboU0dHRKCgowOOPP6430Z+amoqP\nPvoI33//Pfbs2YM33ngDCxcu1FNkpKSk4NFHH9VtKy0txZAhQ7B27VoUFhbqFA+GpKamIiQkBMHB\nwbpru3r1KsLDw/Um4rdt24aWLVsiLy8PBw4cQGZmpl46Wq0Wb7/9Nnx9fXVubFlZWUhPT0dCQgKG\nDh2qG6Olp6ejtLRUN5Fw6dIlvUnor776CufPn8fKlSsxf/58vXyeffZZnSIhOzsbpaWlKCoqgqen\nJ7RaLRQKBRITEwFwAZhkMhm6dOmCmTNnYtKkSTh37hzKy8vx/vvvw9PTE2lpaXp1f+zYsVi3bp1O\n4Dp8+LCuDJ988glGjBihN4Gk0Wh02vmMjAxcunQJaWlpGDlyJLZs2YLIyEhcvnwZRISvv/4a/fv3\nR3p6OrZs2aIbR/ITVbt379aNi/39/TF79mzMmzcPCxcu1I3LUlNTcffddyM4OBizZ8/G0KFDIZFI\nAAArVqxAUlIS8vLyMGvWLMyYMQNHjx7VGyeuWbMG8+fPR69evRAREYH77rsPffv2xSeffIJevXph\n6tSpuHTpEoKDg1FWVoY+ffpg3bp1SE9Ph0qlQkZGBv755x8cOXJENzG0adMmjB07FlKpFMOGDcOp\nU6dQVVWFpKQkeHt7A+CCxPJjrezsbN32nj17wt3dXeej+s8//+DChQvIyclBfn4+mjdvjs6dO+O7\n777Dr7/+iuPHjxuN4RsbYhMzEokEr7zyCkaPHo23334bpaWldo01UBdGjBiBvXv34sKFCybbh7oi\nIQfq2lNSUjBs2DDRQA5jxozBmDFjdDMh999/PzZt2mTkQwJwD6XYFQBfUon1ZajrxZk8z0Le1uRH\nt5IhK66DP9ZimUj/PxEgufUtepzE+vIalkeXHJ++yHUYPiqxfHSn3iqX7hgJ9C/c4HgCd++E31qR\nbZDe2sdvv/Ubt761UkBz67dGxv3WSG7tkwAkk4BkUqg0GkgUcpCUK5xWq4FWQ5DJZZBAopshVigU\nqFGr4eLiAnVNDejWNiJCdXU1XFzkkEikUNWo4KpUQqvVokalglQmg0QigVwuN3vva5Fw9/5WhyLh\ntkAikUIikdz6LYEUEkAihVRSu08KCaRSGWQSGeRSOeQyOeRSF7hI5XCRucBFqoCLzAUKmQKucle4\nyhSQSKyYB5NYUZmtOUYuBxQKwMVF/1tsm6cn4OXFfYS/vbwAPz9AJrOcH6NJUKOpQUl1CUpVpSip\nLkFJdQnKVeWo1lSjSl2FanW10W/+f42mBhrSQKPVQEMaaEmr+23uW0uceSKh1v/P1H9z+2z5bzVE\ncK/SwLNCA68KNbzL1XCr1sBVpYWiRgvXGi0UKu7b9da3i1oLqRaQEkGmIci03EdTXQNS1UAhk0FV\nXgE3FwVcJFJUV1VBU6OGTCYFQFAqXLk2+FZZtVotNDVqEBFcFQrQLXNOCRHUag1kUilkUq7tkHAX\ny7XfWi2ItJBAwrXLRJDdelc1Gg3kUilkWkBKALRaSG79loL7lt36ltCtby3fBnLbhN98nub26cp3\na5vef4PfYvsNzze5j2EeYQcv9s0fA8F2wPgGG75KwnMN0xXbL5aGYT6G4xNz4yyxMZLh8abyF8vT\n1Lmm8ja8BrF0xMphahBn6n6KYe6ZGuYrlrdY/rDiGEv1Rux8c/ffxDm+1Y3TXDksLAyFhYW6MWV0\ndDS2bduG69evIzw8HOPHj0doaKjTl8E0ku0A7BkZhec2nbXLfbV2RG13eNNZIRIzA+ARoT6oqq5C\nUFAwuoT6opWXHJcvX0LP++7DmVOnERkZCR8fbjYmLS0NSYnJCPD3w82Sm5DJ5HBVKFBeWgaZTIaI\niHBcvZaABx64Hy4ucsTGxsHNzQ3t2rYFAGTn5ODmzZvQaNRo0bwFPD29EHvhHDRaLcLbhKOosBDt\n27dDTEwMet3XCwTCyZgYuLm6orKyGkGBLeDl5YVmzZrpyl9QUIC0tDS4uiqgcFHA388PUqkU6enp\n0GjUcHdzR4vmzeHt441zFy6ge7duyEjLgIvCBcHBQSACLsbFoW3btsjNyYW7pwdKbt6Ev68v/AP8\nERd3EW3btoWb0hUAcPnyFfj6+CI7JwdSAF5enpBIpCgtK0WXzl0glXAmXFeuXoO7hxs8lG6QSCWQ\nSqTQajQovHED7SMjUVRUhPy8AkS2j0Rudg5KSzhTZz9/X86HNycHpaVl0GjU8PP1Q35BAeQyKQIC\nmuHGjSK0aN4CXt5eSLh2DZ4eHtAQoXWrVkhNTUNVZSWaN28Of39/5OTmovjGDSgUCoS2bImMjAyE\nR0SgqKAAWq0WzZu3QGJSIkJDQ5GXkw1VRTWa+fnC290TOZlZkGoJnu7uqCwth1wigatMjpaBgZBo\nCbmZ2VBIpVBIZaiuqoaMAFepFM29faEqKYOHzAUytQaa8iooJVLIarRQQgoFAQotQa4CXDVq1MiA\nCgVQIQOqFFKUy9WoUkhQJgfKXYBCmQo33YFSVxVKXCQoUQAuQd6okEqQnZmLFv5+8HH3xvUriRjQ\n5z5kpGRA7uICP19fXLt2DXe1bo2Qli11g0IxtCCACFrSgrRaaEkLLRE0pIZGq4Faq+F+kwYaza3f\nWi20xA/ctdCQGmptDdSaCtRo1dBoa8/VQgutVgvictINBnmB2EXmAle5Eu4ubvBSeMFX6YsW7s0R\n6BkIP6U/fJTe8HH1gberDxQyF+ELb02jAKjVQE0NoFLVfgt/V1Rw39XVQHk5UFoKlJVx3/zvkhLu\n4+cHtGjBfQIDue+QEKBNGyA8nPv287NO8GbYlXJVOdJupiHtZhpyynKQV56H/Ip83Xd+eT6KKot0\nQq1aq4a3qze8FF7wdvWGt6s3PBQecJW5wlXuCqVcqfvtKqv976f0g4vUBbJbkzoyqQxSiVT329y3\n9NakEMBNIAEw+9+WY839l5WUwS0lA8rUTChyC6DIKYAirwCuuQVQ5BZAfqME8tJyaJQKaLy9oPbx\ngtrbExoPL2iVCmhdFahykaBEWoObChVKlWrclNaghKpQqqnUfW6qylEj00IjBbQaCSCTQ6UCFK5S\nBLUMRVp6BipKyyGFFFKZDL163AeZjJsMk8nkyM7OQVZmFnJyczHo0QdxJvYsJAopXN2VyM9MR3Mo\n4FZdg3DfALhX1sCtvAYelTVwK9PAXQW4qwmeKsBdBXhobm1TAZBoUSkHVC5SVAGocZGiClpoXWSo\n0GqgUcjg6uMFtVyGm1UVIBc5JK4uKC4thVQuh0bCTVR6+fkiKycXJJXA3ccLzQIDkZ2XixulpWjR\nMhg3y8qgdHdDRmY2WrVqBZIQmjVvjriLF+Hj44NmLVog4fp13Nutm24y+vSZM9BouUax53334dq1\na1C4uqKo+AaioqIQc+oUqmpU6NnzPsRfvoTysjK4e3hA6e4GFxcXZGVmQyaXgbSEe7vdi7jYWGg0\nWjzQ5wG43GovKyrKUVlZifj4eDzQuzdOnTqFli1bouRmCdQaNSQSKaRSKQICApCXl4vQkFDEx19C\nh07toa5R43pCIvwCfHGjsBg9e/ZAbGwsXF1d0aNHD5w5ewZaIpTcLIWrUoEe3XvgZMxJ+Pn5ws8v\nAK1CQ1Bdo8KNohvw9vLCuQvn0SYsDFVV1SgrK4Wfnz8kkCAxMRH9BvRHdXU1TsXEQCKVQqFQIDg4\nCKWlpcjLzUNgYBCUbq7w9w/A6VNn4ObhBo1aDRDBy8sbFVWVUFVVoXefPsjLy0dJaQk6deyIQ4cP\no2ePHog5dQq9H3gASclJKCq6geDgIOTl5cPP1xdqjRpFN4qgVWsR3DIYUkgR0TYCGRmZuFlyEy5y\nOdLSMuDm7srdp9w8dOsWharqSqSnpyOqWxQuxl9EUWER7mp9F6qqqpCXm4fglsEIDQ3F6dOn0b17\nD9y8eROJSdfhqnBFm7A2kEplUCgVOHHsJO5q3QqZmZmQSaWI6h6FtLR0KN1cER4WjuzsbBQUFOKu\nu1rh8pXLuL/X/bq2T6VS4fDho2jeIgD3dL1Ht/1kTAw6dOiA3JwcyKQyBAYH4tSp0xgQPQApKcnI\nSMtAhw4dkJWVhbs7d8bx48fQ+e4ukLvIcOHCBfj7B8BFLkd2TjZcXBTw9PSA0lWJ9MwM9OjO1QM3\npRJBwcFQKpW36h7XL3t5e8Ldwx3urm64UXwDYWFhiIuLg5eXF3r06KEr4+nTp9E6rDXKy8uhUtWg\nbdsIXLt2DZFtI3WTVEIIBAkkuHT5EgryC6BSqdGufSRSkpPRJrwNvL194HNLiwoAGo0WMpkUObk5\nuHz5Cvx8fXHvvfcCAE6dPoXy8gpIJICHuwcqq6pQXaVC88AA3NOFu49a0kJVrYJSqcS1hAS4uMhR\nU6OGQuGCsNZhKCgsREpKMuQyOQoKitA8MABVldVoE94GpcUlt+6FF7KysxES0hLXr19HRHgEsrKy\nEBYWhtOnz+Lebvfg5o1iZGZlAnHmgyJJPrDP2ILm2ybsSSQSbNu2DQ899JBum9RgXGlO3mpI/pn4\nEI5cTMLl7JsoKSlBm3J/+yVODiQ5OZk6d+4suu+zzz6jlStX6v6Hh4ebTAcAhYWFUV5enm5baWkp\nubm5kVqtppYtW1Jqaqpu38aNG0kqldLUqVMpMjKSoqKi6Pnnn6egoCB6/fXX6fTp0+Tt7U1arZaI\niN588029suzZs4cGDhxIrVu3poSEBNJqteTn50dRUVF0+PBh6t27Nx09epTuvvtu3Tn3338/vfrq\nqwSAlixZYnQNhw8fJgA0fPhwmjt3Li1cuJBmzpxJixYtok6dOpFCoaCSkhIiIl0+w4cPpz/++EOX\nxpNPPkm//vorRUdH0759+2jVqlU0efJkysvLIx8fH9JoNLpjn3jiCRo8eDCvuKSrV6+Sq6sr9evX\nT3dMUVEReXt709WrV/Wu3cvLi+6//34iIvrrr79IoVCQSqWi1157jYKDg8nd3Z0++ugj3fEAKDw8\nnFxcXOjy5cukUqmIiOjChQvk4+NDbm5uNGnSJEpOTqb//vuPiIgSExNpzpw5NG/ePN39W7ZsGa1Z\ns4ZqamrI3d2dJkyYQMOHD6cVK1YQEdHDDz9Mv/zyC3l6etKYMWNo586durr0wAMP0Lp166h58+b0\n8ssv08SJE3XX9Mgjj5BcLqeNGzfSxo0bKSoqiqKjo/WeT25uLvXu3Zvmz59PXl5eevdy+vTp1C4y\nknzlcmoJ0NVt26j6yBEa7u5OrzZvTpdmz6YN3bvTN8HBtOOuENrhoaCTngpKcJVStbcH1ciklOIK\nOhWspL+7+NDSrqBZQ91o+HOgPlO8aeBXfUj6pJSUDyspanQUXci+QNXqaqM61NBotVq6UXmDzuec\npx1Xd9C60+to/r/zafJfk2no5qHUc31Par2qNXkt9iLpB1JSLlKS12Iv8lzsSbIPZOT+kTt1XNOR\nhmwaQq/teI2WHFlCm2M3039p/1F+eb5jC69WE+XkEMXGEs5w+RwAACAASURBVP3zD9HmzUSrVhHN\nmEH01FNE995L5O1N5OtL1Lcv0WuvEX35JdHRo0RlZY4t2x1CcWUxHU8/Tt+f+55m75tNT/7yJHX7\nqhv5L/Mn5SIltfu8HQ38cSCN2TqGZuyZQUuPLKVvz35Lf139i06kn6BrBdcotyyXKlQVurb6tqK6\nmujMGaL164kmTybq148oMJDIw4Orn888QzR9OtGyZUQbNxIdOEB0+TJRfj6RSkXV6mqKzYmlny78\nRLP3zabhPw+nrl92Jc/FnuS/zJ96rO9Bz/z6DL3+9+u08OBCWnd6HX1z9Bs6mnKU/rv0H8ENlJ2b\nTdOmTaO77rqLHnjgAdq8eTP5+/uTSqWibt26UVRUFEEB8o70pvc3v09TN02lqX9PoRe/HExPT2hB\nrzyhoPcGgL7vqaC/wyR0MUBKN5RSqpJJKNUVdNoddLKVH20P9aZzw6Ipd85U2jCwD20d/SxdXrmC\n+gL01auvEiUmEuXl0bBHHqHFixeTt7c3ubm5Uffu3emvv/6iyMhIeuedd0gqlVJAQAD16dOH/v33\nX3rxxRfphx9+oIyMDAoKCqI+ffrQl19+SW3btqUtW7bQY489RhEREdS1a1f68MMP6dFHHyUANHbs\nWJo+fTrt3LmTANDhw4d1j2XRokW0du1a0mq11Lt3bxo3bhxpNBo6dOgQtWjRgiZNmkTPPfccERHN\nnDmTHnzwQRo8eDAREY0cOZJ8fHxIq9XS+fPnaebMmeTl5UWvvvoqLVy4kADQ8uXL6ZtvviGVSkUS\niYS6du0qWj06dOhA48ePpyFDhlBcXBx17NiRAgMDKSYmhv7v//6P5HI5TZs2jYqKikgul9PJkyfp\nzz//JE9PT9q8eTO98sorRMT1ratXryYiorFjx5JMJiNvb2/q378/ERH17duXoqKiqKCgQC//srIy\nUiqVdN9999Hjjz9Ocrmc4uPjKSsrixYuXEhEXB/h4eFBLVq0oF69elHHjh1p+fLl1KdPH3Jzc6OD\nBw9SVVUVubi40IwZM0gqldLcuXPp008/pQkTJtCECRNoyZIlNGvWLN24qW/fvjR37lwaMGAAEREd\nO3aMXnjhBXJzc6OXXnqJlixZQuHh4fTEE0/QPffcQ+Hh4RQQEEBbt26lfv360TfffENr1qwhADRq\n1CgCQN9++y0RESUlJZGfnx917tyZoqKi6MUXX6TRo0fT8OHDafjw4TRq1CjasWOH7nlqNBrKzs6m\nZcuW0dSpU6l79+707rvvEgDy8vKiUaNGUXFxMRFx46myW33HsWPHqGfPnrR06VKaNm2a0bMNDw+n\nf/75R2/bc889Rx9++CH5+/tTWloaERH5+flRfn4+TZkyhQDQK6+8ortP+/fvpxYtWtDIkSNp/vz5\n9Pfff9NDDz1EcrmcXF1dydfXl3JycujcuXNERPTiiy9Sp06dqKamhs6fP68bGwLQpf/EE0/QwYMH\n6fjx47rxqpD169fTgw8+SOPHj6dPP/1UtN6KsXbtWgJA77//PikUCnr88cfNHn/lyhUCQC+//LJu\n28iRIwkADR06lADo0nz11VdF09i4cSM9++yzNHz4cNqyZQsRcXJDcHAweXh4UGhoKE2ZMoXOnTtH\nFRUVtHXrVhoyZAitWLGCpk+fTlqtlgYMGEADBw6kcePGUXFxMfn5+VFZWRklJCTQ6tWrycEiVJ0J\nCwuj/fv3622TSCSUmJhIREQTJkygd9991xlF08Pw/g0dOpS2bt1qt/vqNA1ur169MGPGDIwdOxZ7\n9uxBx44dzR6/YcMGNG/eXPff09MTzZo1Q3JyMvLy8hAcHKzbFxwcDH9/fzRv3hwtWrSAt7c3QkJC\nMGbMGEyePBmtW7fGTz/9pJvBWLp0qd7sRmhoKC5evIjy8nKEh4dDIpGgW7du6NGjBwICAlBYWIhV\nq1Zh0qRJunNeeeUVhIeHY8OGDbjrrruMys+H5w4ICEBkZCT+/fdfXLt2DcuWLcPNmzcRGxsLLy8v\nAMBjjz2GnTt3IiUlRXceAAwYMABbtmzB2bNn0a1bNwQEBOCTTz6Bn58funfvrncNrVu3xsaNG9Gz\nZ0/k5OSgXbt2GDVqFEJCQnTH+Pn5ITc3F0qlUrftgQceQHl5uW69sAEDBmDhwoVwcXFBy5Yt8eCD\nD6K4uFhnSt6/f3+sXLkSgwcPxqFDh9ChQwddWl27dtWF+Hdzc9O7D+Hh4WjVqhXOnj2LJ554Av/P\n3n3HU93+fwB/HYTsjKysIptISdqSlBYNRXspSfPbult3913dpT1pUlLpblBaWtqSkkgaSKQlezvv\n3x/n7vxyI0dG3XU9Hw+Pcs7nGufjcD7vz3Vd7+vRo0e4ePEipKSk+GX37NkDISEhuLi48Mv4+fnB\n1tYWAQEB/Ha8vLzg5eWFuLg4TJo0CaNGjaqQ+MnAwADnz59H69at0b59e9y8ebPSuuHmzZvj5s2b\nCAgIgKmpaYVzOXToUGzatAl79+6FtLQ0Wv+z5kxq0CCUNW0Kw7/+wtHly7Fs2TKsXbsWv//+OwoK\nCsDhCKH4Uw62bdiASwcOQKGgAD01W6PkyhUMgC7Kkl6irbwMmvpF4pOMJN5pyOFaxmMc9uiKaIUC\n5Jvoo5WOJdqotIGmqCa66nVF7sfcCu+JhsThcCAnLgc5cTmYK5t/9dgybhlSslLw9ONTPP3wFAkf\nEhDzNgax72KRVZSFjLwMxL+PRxOhJsgpzkFiZiKEOcLQV9SHgaIBDBQMYKBoADNlM2jKatb97qKw\nMG/UVlm5+mOIgA8fgMePgUePgKgoYM8eID4eMDYGbG2Bzp0BOztAVrZu/fmJERFSc1JxP/0+ot5E\n4X76fTx6+wg5xTm8n62iAQwVDTHCZAR0mulAU1YTShJKP8wd5EaTlwdcvw5cvgxcu8Z737VsCbRt\ny/saNgxo3RpQU6s0q4CI8Cr7FW68uoEbd2/gVuotJH5MhLacNsyUzWDW3AzuZu5o1awVdJrpQE5c\nrkL56OhoCAkJYcaiGZgwYQLMzMyAQuDl85f8TLufSj5B3EAcyk7KMJhtgNS2KdATFcJgbcDkVQ7M\nf1+LVplctM4DICqKVxJiyFNujfisPOh06gyfh4eRKSEBrR62sHJwwHRvb9jY2PAz3Hvs2YPl/d1w\n4FYM5gxzh3q3boicvwCBCxYA/3xmWlhbY8mSJVixYgVsbGzQvn17EBE2bNiAp0+fwsbGBpMnT8a1\na9ewaNEiSEtLQ0lJCSoqKvwpeZ07d8aMGTOQlpYGdXV1/ppUR0dHiIuLo3fv3ggODsaiRYv4uzx8\n+Td10aJF/P9fuHABtra2mDp1Ko4fP465c+di0KBB/O0s1NXV4efnx/+MateuHd68eQMOhwNzc3Pc\nu3cPubm5/CRTAODm5sZfc6uqqgobG5sq3y6ampo4cOAAYmNj0aJFC6SkpEBISAhWVlZo164d+vfv\nDzU1NTRr1gzHjh2DhYUFlJWV4erqiuHDh2P48OEAgG3btkFfX5//OsvLyytcu5w7dw7i4uKVRuAk\nJSUhKiqKhw8fIj09HaKiovxrlM/ZrjkcDvT09KCrqwsLCwssWrQIurq6sLa2xp07d9CuXTuIiYnB\nxMQEpqam2LVrF1xdXSEhIQEAOHnyJHbt2gURERG4u7sDAPT19REUFARnZ2cAvGsSHR0dHD58GCYm\nJpCXl8fLly8xZMgQlJWVISwsDJqampgzZw7atGmD3r17IzY2FsLCwrCyskJYWBj/XGhpaaG4uBjP\nnz9HUVERpk+fjm3btoHL5WLIkCE4c+YM4uLiYGxsDIA36qWiogILCwuEhoYiPj4eysrKEBER4a8v\nlv3ns+HLnDOtWrXCixcvcO3aNUyYMKHSz/bRo0eQlJSs8JiJiQk/CZWGhgYAQE1NDW/evOGvSz56\n9Cg/I3GPHj0wYcIErFy5kr81zr1796CgoAAxMTFYW1tDWVkZyv98Bvr6+iInJwciIiL8x4yNjREX\nF4ehQ4dCX18fnp6e4HA4/MRT8vIVR9PGjh0LX19fhIeHY8mSJVW9batkZWUFKSkp/Pbbb2jZsmWF\na86q6OrqQkJCgt9PAPxrVw8PD7i7u8PFxQVeXl4VjvlSmzZt8Pvvv6OoqAirV68GwIsb1qxZg3Pn\nzsHQ0BDKysr8EWILCwtER0ejZcuW0NHRAYfDwZAhQ+Dl5YXZs2dDVlYW6enpEBcXh66uLry9vTFj\nxgyBz8GPpG3btjh79izKyspqsTSu4a1YsaLan+c3qZcwuQqurq6kqqpKTZo0oRYtWtCePXto586d\ntHPnTv4x8+bNI21tbbK0tKT4+Phq6wJQ5R18e3t72r17NzVv3rzC4ykpKdSzZ0/aunUrOTs707hx\n4yqM0NakqKiI3N3dadasWfzHwsPD6dmzZ5SRkUFiYmKkqKjIv1v3JUNDQ7px40alx8vKykhERITm\nzp1L169fJ2NjY5KQkKD8/HzKysqqMAJ969YtMjExIRkZGfr48SP/8dTUVOJwOBXufu3cuZMGDhxI\nMTExFdpbu3YtAaAtW7ZQdHQ0ERGVlJTwR1e/xsrKivbu3Vvp8ffv31Nqairl5uZSWVlZjfXU5OjR\no2RkZERKSko0b968Cs9dvXqVf8f780jtqlWrCAAdOnSoVu3s2LGDANCzZ8+IiCgqKoquXr1a5bHZ\n2dmVzmV5eTnNmjWLCgoKKjxeXFzMf18GBgYSAAoJCSFra2uSlZUlRUVFCg0NJXd3d5o3bx7/ju+k\nSZPIysqKJCQkKDs7m6i0lCgxkSg0lB6PG0eHZWQouYU6FTYRoWx1JbrWRpkWtONQL1eQ7BiQ3Vo7\nWnp0KU2dO7VW5+F7KCsvo7h3ceT/0J+mhU0j0+2mJLtKlvod6kcrrq2ggIcB5BvlSzPPzaTeB3uT\nqo8qKfylQPYB9jTv4jw6+vgoJX1KatwRvIICoogIopUriRwciKSkiLp0IVq9mighofH68YMq55bT\no4xHtOXuFhp8dDApr1Um5bXK1CewDy25soROJZyilKwUKueW11zZzy45mTdzoEsX3shs165Ey5cT\nXbtW40yBT4Wf6HDsYRp5fCS1WN+ClNcqk8sRF9pwewPdfX2XCkoKvlr+S+PHjydvb2/S0tKi0aNH\n06nzpwgtQc4bnEnOQ44wE6Q3CfTnmFZ0ydGQYtSkKYcDypSToRMA/Q7QfHV16iUrS09v36a0tDQa\nPnw4HThwgMaNG0dOTk7k4OBAcnJyJC0tTSkpKdS0aVN6+PAh/+91XFwcycjIUIsWLai4mDdDJSMj\no0I/y8vLKSUlpcrf95cvX9Lt27eJiPd52rp1a5KQkKDIyEgiItLS0iIAlJOTQ0ZGRuTq6sr/XPk8\nC0tERIQSEhJIVFSUdu7cSVwul+bPn//Vz7OAgAACQMePH6/03JEjRwgAfzTk9evXFUZOTp06RQDo\nr7/+ouPHj5OoqGiF2UEdOnSg/fv3V9nu9OnTaebMmfzvHzx4QKGhodX2UxB79+4lAPT+vWAzaAwM\nDCpdX/2bm5sbbdu2jaKioggAxcbGUnBwMLVr145/TERERKURYiLetZqysjIpKSnxRy0/X7scPHiw\nwrE9e/aka9eu0enTpwkA7du3jyZMmEAiIiKUmprKH0n9XK+JiQk9evSI/Pz8KtRz48YNfhvJyckk\nLy9PysrKdO3aNdLW1qZRo0bR7t27K5TJyMggYWFhAkCqqqpka2tLAOjNmzdVnhMul0uWlpYkJCRU\nYebh15SXl1e6puzZsyedO3eO7OzsSFxcnERFRamwsJD/fGFhIR09epSIiAoKCggAmZmZkaenJ/93\npSqlpaXE4XBoypQpBIA+ffpU4fl3794RAJozZ06lsm/fvhX4/fMZl8v96jV+VWxsbCqMEvv4+PB/\nvz/T0tKibdu2VVm+pKSExMTESFdXV6Drh89/I6ytrfm/69HR0fzf36o0YAhVJ1WN4AoJCfFHcF+/\nfk0DBgyg5s2b06BBg75HF4mo+vNXX+f1x/zp/Et1L9bLy4uGDx9OFhYWVT7//PlzCg8Pp/T0dF4g\nUQ9KSkoIAH9q7b89e/aswgfYl3R0dGj16tWUkZFBAGjy5MlVHldWVka2trakr69f6RfT3t6ejhw5\nUmM/jx49SgDo5MmTNR77b0+fPqX8/Pxal6utq1ev8qecVOX58+cEgO7du0dEvIsFU1PTWgfXn9up\n6gO2vkRGRhIASkhIoDFjxpCxsTGZmJiQpKQkAaDAwEBSV1cnTU1NOn36NP8myb9xuVxavnw5mZmZ\nkYKcHL27do1mKCnR62HDqMC6PZWIi1G0jBDtt5Gngc6grmuMaUH4ArqWfI1Kymq+eVFeXk5BQUEN\ncQoElpGbQUGxQTQhZAKpr1Mng60GtOjSIopOjyYul0vpOel0+ulp+v3q7zQgaACp+KhQi/UtaMTf\nI2jnvZ0U/y6+cQPe/HyiM2eIpk4lUlUlsrQk8vEhSk1tvD58Zx/yP9DBmIPkesyVFP5SoFabWtG4\nU+PI/6E/JX9K/jmnEH+r9+95QW3btkSKikTjxhGFhvLeRzV4l/eOtkVuo677upL0SmnqE9iHtkVu\no8QPiV89x76+vhQcHFzt8xadLchipAVx+nNIZIYISSwTIysn0PqeGhQiL0IfRIQpXVSUaPhwXt+v\nXKH3iYm0e/du4nA41KpVKxISEiIpKSmSlZUlWVlZUlNTo8uXL9OSJUtISEiI1q1bRx06dOBPLU1O\nTq7UD29vb9q1a1fN51AA/v7+/CCFiDe1VVJSkoh40z2bN29Oa9as4R/fq1cvUlVVJSKiLVu2VLqR\nWZ2ioiLy8fGp8nP9xo0b/OmSVfk81dPPz49u3bpFenp6FZ6Pjo6u9rP2yxuo9eXy5csVlmfVpHv3\n7vyfZ3Xy8vKotLSUysvLafDgwVRYWEhlZWWUnp5eY/1cLpcUFRVJU1OT/1hISAgBoLi4uCrLfP6s\nvXPnDi1durTCUjFBPXv2jDQ1NYnL5ZK0tDSJiIhQXl4eiYqKkrm5eZXBobKyMjVp0oQ/LTYqKuqr\nbWRkZFR4/32LkSNH0r59+8jc3Jw6duxIHTt2/OrxampqZG9vL1DdioqKFBgYSDY2NpXeD6WlpdUu\nt2sshw4dokePHvG/DwoKInFx8Qp97dq1a4VlfP9maWlZZZBene7duxMA/qBQaWkpSUpKVjngQ/Tj\nBrj/FSzApepfrJ+fH8nLy1cbIDUUJycnge/Kfalbt260a9cu4nK5tGjRIsrNza11HaWlpQIdd+fO\nHQLAv7v9I4qLi6v2LiER78PPyMiIf5efy+VWGkUVREZGBnE4nHoZda5OVlYWSUpKUnFxMa1Zs4Yc\nHByoZ8+eJCcnR61ataJ79+7R4MGDCQDFx8eTra0tWVtbf7VOLy8v6t+/P6mpqfH/qHMLC8lOXJyC\nzMzoLAdUJC5KabrKtNtRhXpNkaKem7vT6JWjqbC0sMo6nz17RiIiIpUu1pYsWcK/kdCYyrnldCf1\nDs29MJdabmpJhlsNad2tdfQu7/9/v7hcLiV+SKTd93fTqBOjSGejDimtUSL34+4UFBtEHws+fqWF\nelZWRnTpEtH48UTy8kT9+hGdP09UzU2t/7LkT8m05sYa6rS3E0mvlKYBQQNo1/1dlJr96wT2AuNy\niS5cIBoyhEhWlsjdnbf2W4C/18VlxXQ49jD1CexDsqtkafix4RSSEFKrEdo+ffrQ2LFj+d8XlBTQ\n6aenyfOMJxluNSTMB7UYIkKTjMTob1kxymsqTvHCwhSiqUluwsI0b/hwGjFiRKV6T5w4QcrKytSp\nUycCQAEBAXTnzh1avnw5/4berl27qEmTJvTu3TuaO3cuHThwQOB+10VpaSlNmjSJPxo8YsQIatWq\nFRERfw3m57WXRES//fZbjQFCbSUlJX31RvLnm7TBwcFUVlZGDx8+rNf2ayszM5OWL18u8PFubm40\nZcqUBuwR78aDm5sb//tnz56RhIREtZ/XycnJBICysrJo//795O7u/k3tFhUVERGRhYUFaWhoEBGR\nkpISKSsr899TX7K3t+cHQNUNcNS3//3vf7Ry5UpSV1enNWvW8NdSV6dTp04Cnw9LS0v++tyqyMjI\nVBr9/p4iIiIq3AghIkpMTPzqNeGRI0coMTFR4DZmzZpFACgzM5P/mKOjY6X10p+xALduWIBL1b/Y\nzMxMkpSU5CdT+NEdOXKkQkKnhpSenk4AKPUHHmX6PA3m39OBGsLdu3cbvI3P08mfPn1Kx48fJ3d3\ndxo8eDB/Wvi6desIAGVnZ9O8efOqvKD80ps3b0hKSqpCwiwiIjMzM1JSUqIBAwbQGHd3SjpwgPK9\nvanQoDW9FwEd1OXQUPem1H+HA/1x5A8qLS+l1NRUcnZ25o96/Hs028rKimbMmFGPZ6P2uFwuXUu+\nRqNOjCLZVbI0NHgo3Um9U+WxyZ+Sace9HdTvUD+SXilNtntsaWXESop/V7tpUHWSn0+0axeRuTmR\nnh7R1q1EhVXfWPiveJv3lrbe3Uq2e2xJ4S8Fmhgykc4+O1vtDZNfXkkJLwGUmRmRiQnR9u1E/5ru\nV520nDRacmUJqfqoUrf93ehgzEHKLa79TU8iohYtWpCZjRntid5DA4IGkMwqGbLdZUtDJ7ej84Ps\nKEpYiDIButisGfkYGdGgdu3IxcWFJCUlSUNDg0JCQujw4cOV6r158ya1b9+eBg4cWGHGyevXr6lp\n06aUm5tLDx8+pPnz539Tv+vT/PnzqVOnTkREFBsbWynwjIqKqlViHEEUFRVVmGX0bzk5OQSALl68\nWK/tNpa9e/fSqVOnGrSNgIAA/jKkz74WlJSUlPCnhJeVlVWYsvsthgwZwk+qaWlpWW3ynRMnTvCn\nnG/ZsqVObQpqw4YNNG3aNBITExNoVt3IkSNp9uzZAtX95VTfqmhra/OTM/0I8vLyKDAwsEHbOHjw\nYKUZDmVlZdXOeGABbt2wAJe+/mJnzJhBPj4+jdib/4by8nKys7MTaM3t91JWVkZCQkJVrln+GQQG\nBtK5c+f439+6dYskJSWJy+XS69evBVqTcuzYsUp3/Z2dnQkABQUFkZGREbVv356/FsW9Sxc6YW9P\nT9VVKFNUiPYZcMh1ojwpD1YgOR05sre3r3L6l5qaGrVu3bp+Xng9yCrMok13NpHWBi3qsq8LnX56\nuto1nYWlhXTu2TnyCvMi9XXqZLLdhFZcW0FPPzTOzSTicomuX+eN5qqrE23e/J8KdMu55XT22Vka\nEDSAP4IY+jT0h8jk/cMqKeEFsxoaRN27E509y3sfCOD5x+c09uRYara6GU05PYUev338zd14n/+e\nfK76kNB4IcJ8UNvVbWnP339Q3h9L6aOODn0QFqa9TZrQPCsrUpCRIRcXF5o4cSJJSkrS2rVrydPT\nk2xtbautn8vl0tu3b2nChAlkaWlZ4bkv80P8CLZv305Dhw4lIt7nn7y8PF2/fr3B29XX1692RheX\nyyVxcfEap7My38/8+fNp8ODBRER0+vTpr64vLS0tJSEhoSpvBjWEw4cPk4ODA0lISAh0fHBwMJ05\nc6Ze2ra0tKQrV67US13/FcnJyTUOPHyJBbh1wwJc+vqLZWu//tscHR0rJTj4WZWWllaZqKS25s2b\nx0+2ICEhQVJSUjRp0iSSlJSkFStW0MuXL6lFixbUQ0+PdhsZ0SNpcUqTEKI/u4iQpjMI+qCLl3gj\nCp/vgDdp0oSUlZXp5cuXtU4G0ZBKy0vp0KND1GZnG7LYaUEXnl/46vHl3HK6nnKdpoVNIxUfFbLY\naUGb72ymD/kNt/66gqgoov79idTUiHbv5k1p/kFl5GbQyoiVpL1Rmyx9Lckvyu+bRxB/GeXlRIcP\nE+nqEtnbE9ViCUjih0QadWIUKfylQEuvLKXMgsyaC1WhoKSAAh8FUt/AviS7SpZ6bO9BJv30abKq\nMoUAVNC0KdGECbSpf39av2YNXblyhU6ePElt2rShmTNn0sqVKwkA7d27l0pKSigtLa3GNufPn19p\ny5AfTXZ2doV1vxcuXKjz6F59MDc3F+gcM99HRERErUYG1dXV6fLlyw3Yo/8XERFBampqlabmNoaY\nmJgfeoDkR8AC3Lpp6ACX809lPzQOh4P/QDcZplHs3r0bS5cuRVpaGjp06AA5OTls2bIFrVu3xtWr\nV9G1a1cUFxcjPz8fHA4HO3bsgEvr1qDdu6AUfgF31YCjXeTQznM5Hh6MBbeIi7CwMOjp6fG3wcjN\nzeVv7fQjICL8/eRvLLy0EJqymvir519oq9b2q2XKueW4knwF+x7uw5nEM3DQdcB4i/Ho2bInhDhC\nXy1bZ1FRwIwZQEEBsGkTb7uhH0TChwSsu70Ox+KPYbDRYExuOxlWalbfu1s/vshIwNOTt73U6tVA\nz54CFcsqysLv135HQEwApltPx3Tr6ZW28RFE3Ls47IreBb87fuio0xEOKg74dCwOg169Qevr15Eh\nJYULmpoILC7GndhYtGnTBr6+vrC2tgYADBo0CF26dIGKigpGjBiBU6dOof8/W57VxM/PD0lJSVi1\nalWt+80wP5MVK1bAw8OjwraVDSUtLQ1aWlowNzfH/fv3G7w9pnZYbFI31Z2/ejuv9RImN7D/SDcZ\nplFERkbyt4pauHAhP03+qVOnvnrH9enTpyQO0Ar91pSsoUypyhI0qRdI3rEpmVqb0sCBA2nNmjUE\n4LsnQ6lOSVkJ7bi3g1R8VGhS6CSBR8EyCzJpW+Q2sthpQa02taINtzdQVmFWzQXrgsslCgoi0tQk\ncnUl+teWKI3tRsoN6h/Un5qvbU7Lriyj9/m12+rhl/XpE9GUKUQqKkQBAQInFCsrL6Od93aS8lpl\nmhgykd7mva110yVlJXTo0SGy3WNLauvUyGWbC0EO9GDfPooyNqZPAIUbGlLg0qVUWlpKZWVlpK6u\nTqGhoSQlJVUhWU50dDSlpaXxM/vevHmz1v1hGKZxpumz8wAAIABJREFUxcfH/3JThf8rWGxSN9Wd\nv/o6r2wEl2F+EVwuF+3bt0evXr0QGhICxYQE/Kkkh5afPmJnByGEGxtAs8QcQbuDEBQUBBsbGzx/\n/hx2dnbfu+uVZBVlYcGlBTiZcBLre62Hq4krOBxOjeWICHde38HmyM04//w83Mzc4NXeC60VWjdc\nZwsKgOXLgf37gfXrgREjAAH6Wl+up1zH0qtLkZKdgjk2czC6zWhINJFotPb/04KDAW9voH9/YNUq\noFkzgYo9ef8E40LGQURIBJt7b4aFqkWtms0uyobffT9sjtwMXXldeFt7o69eX0wzNceopCSYi4lh\nK4BNhYXgKCjg2LFj6NixIwBg+/btmD59OubOnVvliGtGRgZUVVWRkJAAfX39WvWLYRiG4WGxSd00\n9AguC3AZ5heza9cuTJo0CX/99RfmzJmD9tLSWKehDLPUVKxrz8VGDhdTOs+BOFccd+/exYULF753\nl6t15/UdTD49GS1kWmBv/71QllIWuGxaThp23t8J3yhfdNXuikWdF6GNSpuG6+y9e8C4cYCWFuDn\nB6ipNVxbAG6n3saSq0vwIvMFFndZjJHmIyEiJNKgbf40Pn3iTUe+f593Y8LGRqBiZdwyrLu1Dj63\nfbC823J4WHnUajp8SlYKNt7dCP+H/nDUc8Rsm9mwVLXE5uHD0S8qCpwXLxDv7IzlL14gr6QEGhoa\nOH/+PLKzsyEjIwMAKC0txcKFC7Fs2TJISkpWaoOIIC8vj5cvX6KZgAE7wzAMUxGLTeqmoQPcBl6I\nxjDMj0ZZmRcEdu/eHUJCQmhiZoYrrqNwfNostIkUxvNbAPf2BhxO3I/EpMTv3Nuv69CiA6ImRsFC\nxQJtfNvgTOIZgcuqy6hjRfcVeOn9EjYtbND3UF/0PdQXt1JvNUxn27XjBUxt2wKWlsAZwftaG3Hv\n4tD3UF+4/u2KoUZD8XTaU4y1GMuCW0GFhwNmZoCCAvDggcDBbdKnJHTa2wkXXl7AvYn3MLXdVIGD\n26RPSZgQMgGWfpYQERJBjEcMAp0DYZnBARwdMezkSWxMS8PIdu0gNmUKIh8+hKurK8zNzaGjo8MP\nbgGgSZMmWLt2bZXBLcC7eGDBLcMwDNOQli1bhpEjR3639lmAyzC/GGVlZcjIyMDCgjdt0s7ODqam\nphA2NMSQglL8Zt4e9reFcfHMa1gZpGDH7e0oLikGACQkJIDL5X7P7lfSRLgJ/ujxB44MPgLPME9M\nC5uGorIigctLiUphls0svJj+Av1b94f7cXd09++OG69u1H9nRUV505WDg4GpU4GZM4Hi4nqpOiMv\nA5NPT0Z3/+6wb2mPxGmJmNh2IpoIN6mX+n96ZWXAwoXAmDHAnj3Ali2AhGBTuU88OQHr3dYYZjwM\n4SPDoS2nLVC5A6EHYLvaFla7rKAipYL+yf0xy2QWNIpEgQkTAEdHwMkJnZSUsLmwEO1sbWFmZgYA\nGDZsGGxsbPhJpGqDBbcMwzA/v27dukFeXh4lJSU1Hrt//350rseEmIIsG2tINQa4RUWVLxSL6+mC\njGGYxmdhYYG///4bIiK8Eb0//vgDLi4uUFBQAAC0GjgQcctW4lw/V/x+SQTGQ6ej96wWOP7wOMzN\nzXHo0KHv2f1qddHqgoceD/E2/y267OuC1zmva1VeXEQck60mI9ErEWPMx2DkiZFwOuSEmIyY+u9s\n58680cGUFKBjRyA5+ZurKigtwIprK2C83RjSotJ4Ou0pZnSYATERsfrr788uI4OXFTkqivdz6dVL\noGIl5SWYeX4mZp6fidDhoZhpM1OgD/XXOa8xKXQSJt2fhMzXmUiclojfu/2OE/sOI3vhQsDYGOmF\nhdDIz8eC16+R+u4dBgwYADs7OygpKeH27dto3bo1Bg4ciKCgoLq+eoZhGOYnk5ycjMjISDRv3hwh\nISGN3v73nr5dY4D7OXHFl2wEnLLFMMyPR1RUFD2r2OJEUVERAKCkpITZs2fDIygIszp2xZHX5Tix\nNwcfPdygNFwU81bNQ1lZWWN3WyBy4nI4OvgoXAxd0H5X+28ahRUREsHoNqOR4JkAh1YOcDjoALfj\nbniR+aJ+OysvD/z9N+DuzpsGe+VKrYoTEY48PgL9rfp4/P4x7k28B59ePmjWlI3O1UpEBG/aeLdu\nwNmzgIDbf3wo+ICeAT3xPPM5oidHw7pFzSOpOcU5WHR5Ecx3mkO+qTzsE+yh9kQNChIKeBsUhHtF\nRRC9fx+4fRtnunWDdps2WLduHbS0tHDy5En07dsXANChQ4e6vGKGYRjmJxcQEICePXti5MiR8Pf3\n5z/+4cMHrF+/HqamplBUVISXlxcSEhLg4eGB27dvQ1paGvLy8gB4I8B79uzhl/33KK+3tzc0NTWh\nrKyMyZMnIyamAQYEvlG1Ae6bN29w//59FBQUIDo6Gvfv30d0dDTOnTsHMTE2MsAwP5vPAe7nfwFA\nR08P2wFM69Idyq9kERPChZVxBsb4j0FBacF36unXcTgczOs0D3sH7IXzEWf4Rvl+Uz1iImLwsvbC\nM69nMFAwQPvd7eF11guZhZn12VneNOWDB4Hhw3l75gpw1/PJ+yfoeaAnVt5YiSCXIBwZfAQtm7Ws\nv379Kvz8gCFDgL17gWXLAGFhgYo9ef8E1rutYatpi1OupyDfVP6rx5eWl2Jb5Da03tIaaTlpeDj5\nIVb3XI1XCa9QkpEBjB8PuZkzMRPA5h49AD09JCUlwd7eHjo6OtDV1a37a2UYhmF+GQEBARg2bBiG\nDh2K8+fP4/379wCA8ePH4+HDhzhx4gTS09Ph6uoKAwMD+Pr6wsbGBrm5ucjM5F3ncDicr85Kat++\nPWJiYvD06VPIysrC09OzUV6bIKrNOnLhwgXs378faWlpmD17Nv9xLS0trFixolE6xzBM4/k8RfnL\nDey7dOmCvLw8xMbGIjS/EK8CDmHv+LG4GvM3LF6exR8jdqLwfiEkJSXh4uLyvbpepd66vXFz3E30\nPdQXr3Je4Y/uf3zTmhBpMWks7roYHlYeWHp1KQy2GmBJ1yXwsPKov8RNdnbAnTvAwIFAdDSwcyfQ\ntGmlw/JK8rAiYgX2PtiLxV0WY2q7qSx51LcoKwPmzOGN2N64AejpCVz04ouLcDvuhjX2azCmzZiv\nHktECE0MxdyLc6Elq4Xz7udhrmLOe47LhWlCAtaWlgI9esBv+nTE7dkDPH8OgDe9zNHREU5OTt/8\nMhmGYZhfz40bN5CWlob+/ftDWloaRkZGCAwMxNixYxEeHo5Xr17xr/lsbW0BfNuUYjc3N/7/Fy9e\nDFVVVXz48KHCQMn3Uu2V0ejRozF69GgcO3YMgwcPbsw+MQzzHcjJyUFISKjCH6bhw4fD3t4eKioq\nUFRUhOyAAXhjHIlCW1tcW/Meq97MwBHFcnT41OGHC3ABQE9BDzfH3YRTkBPSc9Ph5+T3zUmXlCSV\nsL3vdkyxmoKZ52diR9QObHTYCPtW9vXTWW1t4NYt3lZCdnZASAjwz8+CiHAs/hhmXZiF7trdETsl\nFipSKvXT7q8mOxsYNgwoL+fdVKhFwqWDjw5i9oXZCB4SjK7aXb96bOLHRHif80ZyVjI2994MB12H\n/38yMxNFY8ZgUWkpXIWFcWXzZjyaMAFOTk4IDw8HACQlJUFHRwfOzs4oLy//ppfKMAzDfCf1lWTp\nGwJPf39/9OrVC9LS0gCAIUOGwN/fH/r6+tDS0uIHt3W1f/9+BAcHIzIyEmVlZSgsLERsbCy6d+9e\nL/XXRY23/gcMGICIiAjcvn0bxcXFICJwOBwsWbKkMfrHMEwjERISgoODA9T+tT+rgoICREVFYWxs\nDABQ1dWF+9u32DRiBH47cRY2cqXwcDmNuRfnYkmXJZAWk/4e3a+WkqQSLo+6jKHHhqL/4f4IHhIM\nKVGpb67PVNkUF0deRMjTEEw5MwXGzY2x0WEjdJrp1L2zEhLAoUPA4sW85FNhYUiQK4PXWS+8zXuL\nQOdAdNHqUvd2flXJyUCfPrwbCBs2ACKCj35vi9yG1TdX4/KoyzBublztcXklefjz+p/YdX8XFnRa\nAC9rL4gKi/7/AZcuAWPGINPGBh7t2iHy0SMUFBTg7t272Lp1K3bv3g0ul8sPcKvb7odhGIb5gX2n\nJEuFhYU4evQouFwuVFVVAfCSA2dnZ0NSUhIpKSn4+PFjpSBXWFi40iiuuro6MjIy+N8/ePCA///U\n1FTMmjULoaGhsLCwQHl5OVRVVb97cqnPakwy5eXlhZUrV4LL5UJSUhJSUlLsA5dhflJhYWH8O36f\ncTgcaGpqwsTEpMLjnWbPRh8VFZSll+LehnJIxDyBwVYDBMYEYtu2bY3Z7RpJikrilOspqEipwDHQ\nEbnFuXWqj8PhYIDBAMRNjUMH9Q5ot6sdVl1fhZLymlPx10hICPjzTxTP8EKOdRvMWGqNvnp9ET05\nmgW3dRETA3TqBEyZwtsCSMDglojwZ8Sf2HBnAyLGRFQb3H5O+mW4zRCvc14jdkosZnec/f/BbXEx\nb1r06NHAnj04bWeHlkZGUFRURHR0NN6+fYvOnTtDX18fx48fR3Z2Nv/ihGEYhmEEcfLkSYiIiODJ\nkyeIiYlBTEwMnjx5gk6dOiEkJAT29vaYNWsWnj9/jqKiIty6dQsA0LZtWzx79gx5eXn8uuzs7HDy\n5EmkpaXh8uXLOHXqFH+p1/v370FEUFFRQW5uLhYuXPhD7bJT4yd8REQEHj9+DCEhtmUuw/yqtLS0\n+CO4n5mZmSEuJQWe4uIYKyGPv/64gVLRAiwp/Q0vE5Jh+dwSNro/TsZ1ESER7Om/B1PPTIXDQQec\ndTsLWXHZOtUpJiKGBZ0XwNXEFV5nvXBg5wFs77sd3bS7fXOdRIQTCScws8QH0zza4YzvIwjbaQJs\nre23u3oVGDoU2LqV96+AiAgLLi3AmWdncH3sdahKVx1wJn5MhMdpD2QWZiLIJQidNDtVPOD5c14y\nKx0d4OFDQFERjzw9YWZmhgcPHuDgwYNwcHCAsLAwFi9ejLFjx6JNmzbsc5dhGIaplYCAAIwbNw4t\nWrSo8Pi0adPg7e2Nx48fY8+ePXBycsLHjx/h5uaGjh07wsjICAMHDoSxsTEKCwvx7t07ODs7IyYm\nBlZWVjA3N4enpydCQ0MBAJaWlpg6dSp69OgBcXFxzJo1CxoaGvz2akpQ1eCoBlOnTqXw8PCaDmtQ\nAnSTYZgGFBsbS1lZWZUet7GxIQsLC3J1dSV9MTG6zeFQjLYWyVqCZP+QpTkX5lBOUc536HH1uFwu\neZ7xpPa72tOnwk/1Wu/x+OOksV6DRh4fSW/z3ta6jmcfn1Hvg73JaJsRXUm6wnvw/n0iNTWijRvr\nra+/lOBgIiUlosuXa1WMy+XSwksLyXyHOX3I/1DlMcVlxbTi2gpS+EuBNtzeQKXlpZUPOnmS1/7W\nrURcLv/hTp060aVLl6hnz54kKytLgYGBRERUXl5OwcHBlJ+fX6v+MgzDMI2HxSZ1U935q6/zWuPt\n4StXrsDe3h4aGhowNTWFqakpzMzMGjruZhjmB2JiYgJZ2cqjndbW1tDV1cWePXsQFh+Pwx4eeJST\ni6hoYFm6M97nv4f+Fn38eepPcLnc79DzyjgcDrY4boFNCxv0DOiJ7KLseqt3kOEgxHvGo7lkc5hs\nN4FvlC+4VPPrLiwtxNKrS9Fhdwf00O6Bh5Mf/v8osKUlL/nUzp3A//4H/CDn8T9h+3bA2xu4cAGo\nZdKL5deWI+RpCMJHhUNBonJCjlupt2Dha4E7r+8genI0ZnSYwc9o/ebNG5wNDQXmzQOmTwdCQwFP\nT2Tn5GDbtm3gcrmIjY2FqakpFBQUkJOTAwcHXhIqISEhDB48GBISEnV//QzDMAzzC+L8Ey1XKzk5\nucrHtbW1G6A7VeNwOD/MomWGYf7fo0eP8P79e9jZ2QEANm7ciJkzZ2KBhgbmvX0L2b17MeLRGQTl\nBMFIxwjBY4NhpGT0nXvNQ0TwOuuFmLcxOO9+HhJN6jegePT2ETxOewAA/Pr5waS5SZXHhT0Lg9dZ\nL1ioWGCDwwZoyGpUeRw+fgT69QNatQL27AFERas+juEl91i8GDh6FDh/njc1uBb+jPgTgbGBuDrm\nKppLNq/wXHZRNhZcWoCTCSexqfcmDDYaXGEaVkFBAXqYmGBjRgY6dO4MBAYCioooKiqClZUVnjx5\nglu3bmHgwIF48+YNpk2bhujoaP46KIZhGObHx2KTuqnu/NXXea1xBFdbWxtiYmK4efMmtLW1ISkp\nyX6gDMMA4K3D/RzcAkDLli0BAEozZ8JNWRkfvbzgdvwe2twygVq2Grru74q5F+fWOclTfeBwONjs\nuBk6cjpwOepSPwmivmCmbIYb425glPkodPfvjoWXFqKwtJD/fEpWCgYdGQTvc97Y3mc7jg09Vn1w\nCwAKCkB4OJCTwwt0c7//OfwhlZUBEyfyAtubN2sd3G6+uxkBjwJwadSlCsEtEeH4k+Mw3m6McipH\n3NQ4DDEeUmmNUXJoKI6lpuJKSQnKQ0P5Wz2tW7cOurq6aNeuHcLCwmBoaAiAt45p1KhRdXzRDMMw\nDMN8VmOA6+fnh+HDh2P58uUAgJKSEri7uzd4xxiG+e/5HOC2bdsWq8PC4KigAMV37xCYnQv1J9J4\nPOUxPhR8gOE2Qxx+fPi73ywT4ghh74C9EBcRh9txN5Rxy+q9fg8rDzzyeIQXn17AdIcpQhJCsOTK\nElj6WcJSxRKxU2Ir7pH6NRISwN9/A1pavCm3b9/Wa3//8woKAGdn4PVr4MoVQEmpVsWPPD6CtbfW\n4oL7hQoJpV7nvMagI4Ow6PIiBLkEwdfJF82aVrF/7qlTaDVpEoLMzLBVWRnp//x8Xr16hfXr12PD\nhg3Q0dHB+fPnoa+vDwAYN24cPDw8vv01MwzDMAxTQY0B7oEDB3DhwgX+1kDq6urIZSMHDMNU4fPS\nBW1tbejp6eFRair6CQlB3MAAi8+dg/KHQuwbsA9HhxzFXzf/gl2AHeLfx3/XPosIieCwy2FkFWXB\nM8yzQYJuVWlVBLkEob9+fzgfdUZATAAujryIxV0XQ1xEvJYdFgF8fQEnJ8DWlpehlwEyMwF7e0BW\nFggJAaRqt9fxpZeXMP3cdISNCIOWnBYAoJxbjq2RW2HhawELFQs8nPwQnbU6Vy5MBKxaBXh64vi4\ncXjVsSNatmyJly9fYsmSJdDT04O3tzd0dHSgo6ODe/fuoXXr1vXxqhmGYZjvoFmzZvxMweyr9l/N\nmlVxk7ge1RjgysrKVtiq4NWrV5VST1cnIiIChoaG0NPTw5YtWyo9X1hYiNGjR8PCwgJdu3bFqVOn\natF1hmF+NFJSUti6dSvU1dUhJiYGDQ0N5BQWounevdgtJATq2BHjDA2hI6KDexPvwdnQGV33d8WM\nczPwLv/dd+u3mIgYjg89jsi0SKy+sbre649IiUC7Xe1w+/VtXBx5EYONBsMx0BF7H+z9toCawwGW\nLQPmzgU6dwaiouq9z/8pqam8PW5tbAB//1qvT37w5gGG/z0cwUOCYapsCgB4/O4xOu3rhCNxRxAx\nJgJLuy2FmIhY5cIlJcCYMbyR9bt3EQnetlqfA9zTp0/j1KlTWLx4MQDezR8ul8sfwWUYhmH+ezIz\nM0FE7OsbvzIzMxv051NjgDt69Gi4ubkhKysLy5cvh5OTEyZMmCBQ5d7e3vD19UV4eDi2bduGDx8+\nVHje398fkpKSePDgAQICAjBr1qzvPmWRYZi68fT0hLCwMADA0NAQWlpaUFFVxSYuFxeHDsXqhATE\nLlsGYY4whukMQ9zUOHCJC8Nthlh6dSlyinO+S7+lxaRxZsQZ7Ly/E4diD9VLndFvouF0yAkjT4zE\nHJs5uDXuFrrrdIdPLx+cczuHHVE70M2/GxI+JHxbA5MnAzt2AI6OvDWnv6K4ON5I9vjxgI8PUMu9\nY19+egmnICfsdNqJLlpdUFRWhCVXlqC7f3eMMR+Da2OuwVDJsOrCubm8kfSsLCAiAndfv0ZSUhI/\nwH3w4AGePXuGHj168Nfq6vyzJpiN4DIMwzBMw6jxSmDIkCH466+/MG3aNEhISODMmTNwdnauseLs\nbN7WG126dIGWlhZ69eqFu3fvVjhGVlYWubm5KC0tRWZmJiQkJL7vpsAMw9SrzwEuh8OBtrY2Jp08\niVVdu8LS3x+3Ro2Cg4MDmks2x2bHzYiaGIXkrGTobdHDulvrkF+S3+j9VZNWw5kRZzDj3AxcS772\nzfU8fvcYLkdd4HTICQ6tHPB02lMMNx1e4e+bhaoF7oy/AxdDF3Ta2wnLri5DcVlx7RsbOBA4cQIY\nNQo4cOCb+/yfdOMG0KMHb3rw7Nm1Lp5ZmAnHQEf81vk3OBs643rKdbTZ2QZx7+MQ4xGDyVaTIcSp\n5mMyIwPo2pWXxOrvv1EAoHPnzggLC4OWlhb09PRw8OBBtG/fHqJfjCjr6OhARESkUXciYBiGYZhf\nimDb5dbexYsXydXVlf/9jh076Lfffqt03PDhw0lGRoYkJCQoJiamyroasJsMwzSgsLAwWrlyJRER\nTZw4kaZOnUofPnygts2a0UsREVrB4VBBfn6FMrFvY8nliAsprVGiZVeW0Yf8D43e7/AX4dR8bXOK\nfxdfq3L30u7R0OCh1Hxtc/K56UP5Jfk1FyKiV1mvaEDQANLfok9Xk65+S5eJ4uKINDWJ1qwh4nK/\nrY7/kpMniRQVic6f/6biJWUl1H1/d5p1fhZ9KvxEk0Inkfo6dToef7zGsqWPHxPp6BD9/jv/XIeH\nh5OoqCgBoIyMDCopKaFNmzZRaGhohbLl5eV09uzZb+ozwzAMw/zM6ivmE6kpAA4PD8fKlSsRHR2N\n8vJyALztNXJy6j6NcOvWrRAREcGbN28QGxuLvn37IiUlpcKa38+WLVvG/3+3bt3QrVu3OrfPMEzD\ncnR0hKOjIwBeRvbPVh89itnLlmFFdDRyhg9H07//5iVPAmDS3ATHhh7D0w9P4XPbB3pb9DDSfCRm\nWM+ATrPabfnyrexa2mGt/Vr0PdQXdyfchZJk9dl4ucTF2Wdn4XPbBy8yX2BGhxnY3W83pMWkBW5P\nQ1YDJ11P4mTCSbifcId9S3ustV8LBQkFwTttZMTbFsfREUhPB9atq/V03f+MXbuAJUuAsDCgXbta\nFycieIZ5QlJUEh3UO8Bkuwn66fdD3NQ4yIrLfrVs+vHjaDJ0KBR9fcEZP57/eEREBDw9PZGTk4Pm\nzZuDw+Fg+vTplcoLCQmhd+/ete4zwzAMw/xsrl69iqtXr9Z7vZx/ouVqWVlZYdOmTbCxsaky8KxO\ndnY2unXrhgcPHgAAvLy80Lt3b/Tt25d/zNChQzF+/Hg4OPC2yLC2toa/vz8MDAwqdpJtpswwP6Xp\n48Zhzu3b0NTTAw4f5m2D8y/puenYeGcj9j7YCys1K0xqOwn9WvdDE+EmDd6/RZcX4carG7g48iJE\nhSsmLkrLScP+h/ux58EeNGvaDLNtZmOI0ZA69yunOAeLryzGkcdH4NPLB26mbrVbuvHpEzBgAKCm\nxku4JFZFYqT/Ki6XF9geOsRbc6yn903VbLi9AX7RftBtpovnn57Dz8mv6uzI/3b+PEqGDcOg7Gxs\nS0qqMM24W7dumD9/PgteGYZhGOYb1VfMV2PEKioqirZt29YquAV462sB3l3t5ORkXLx4EdbW1hWO\nsbOzQ2hoKLhcLl6+fInMzMxKwS3DMD8vkw4dsNzKCpCR4Y08VrEFmZq0GtbYr0HqzFS4m7lj452N\n0NiggWlh03At+RrKueUN1r8V3VdAVkwW3ue8AfDWbO5/uB99D/WFyQ4TpOak4uiQo4iaGIURpiPq\nJeiWEZPBpt6bEDo8FD63fNDrYC88z6zFVkDNmgEXLgClpUCfPkA9zLb5IRQUAMOG8fa3vXPnm4Pb\nE09OYNm1ZcjIzYClmmX1W/9UKngCGDkSt+bORRiA69ev858qKipCVFQUbG1tv6lPDMMwDMPUnxpH\ncOfNm4eYmBgMGTIEcnJyvEIcjkCJpq5duwYPDw+UlpZi+vTpmD59Onx9fQEAkydPRnZ2NpYsWYLr\n169DSUkJ3t7e6NOnT+VOshFchvkp3b17F1OmTEF0VBQwdSrw4AFw7hwvSPuKxI+JCI4LxrEnx/Am\n9w366fdDD+0e6K7THSpSKvXWv3JuOW6m3sTQ4KFoJt4M6XnpsNOxg7OhMwYaDISUaO32Wq2tMm4Z\nNt7ZiNU3VmOWzSzM6Tin0khy9Z0vB6ZP501bDgkBNDUbtK8NKj0d6N8fMDTkTU8Wr+Xewf/wf+iP\n8SHj0VatLQ4OOgg9BQGD5IMHgTlzgLAw7IyMhLe3N+Tk5GBgYICDBw8iKSkJc+bMQWRk5Df1i2EY\nhmGY+ov5agxwx4wZw2/wS/v27atz44JiAS7D/Jxyc3OhrKyMP/74A01EROCVnAxcvswbgWzeXKA6\nnn18hrPPz+Jy0mVEpERAWUoZbVXbwqS5CUybm8JA0QBq0mpo2qRptXUQEbKLs/Ei8wXi3sch/n08\nHr19hNuvb0NVShUWKhY4/ew0DrschqOeYz29esElZyVj6pmpeJX9Cn79/NBRo6NgBYmA9et52+cE\nBQH/xdwF0dG8KddTpgALFvD2AK6ljLwMeJ/zxvEnx+HR1gObHTcLPu3b1xdYsYI3JdrYGCtWrMCL\nFy+gq6uLd+/eoaioCBoaGsjOzoaPj0+t+8YwDMMwDE+jBbg/AhbgMszPq2XLlvwN00NDQtBi1y7o\n3L8PzqVLvHWkX7hx4wbatGkDKamqR07LueWIfReLhxkPEfsuFo/fPcbTD0/xJu8NJJtIolnTZpBo\nIgFxEXGUcctQXFaMvJI8vMt/BzERMWjLacNYyRhGSkYwVjJGR42OUJZSBgBcenkJbsfdcHv87UZL\ndvUlIkJwfDBmnJuBAQYDsLLHSjRr+vWRbr7v4ND+AAAgAElEQVTwcMDdHVi4EPDy+qYgsdERAXv3\nAvPnAzt3Ai4uta6itLwU2+9tx4qIFZATl4NdSzv4OvkKXoGPD7BtG+/8tWoFgLe/u7a2NmbOnInI\nyEhMmjQJzZo1w+zZs+Hk5FTrPjIMwzAMw9NoAe7bt2+xfv16hIaGAgD69++PWbNmobmAoyv1gQW4\nDPPzGjBgAG7fvo2NGzdi/vz5SE1NxRtvb6icPg1cugRoaQEA8vPz0aJFCwQEBKBfv361aoOI8LHw\nI7KLslFQWoDCskKICIlATFgMkqKSUJZU/uoI72db7m6BX7Qfbo27VassyfUpqygLCy8txLH4Y1jQ\naQGmtpsKMREBEkklJQGDBvGyLe/YAch+PVvwd5WfD3h6AvfuAceO8aYm1wIR4dTTU/jfxf+hZbOW\n0JXXxcOMh7g8+rJgU7yJgOXLeaPe4eGAhgb/qREjRqBPnz5wd3dHcXEx5OXlISwsjIyMDEhUkSSN\nYRiGYRjBNFqSqdWrV0NOTo6fxllOTg6rVq2qc8MMwzAAYG5uDkdHR7i6uqJ169ZQU1PDPTs73khj\nly7As2cAgIMHDyIrKwsZGRm1boPD4UBRQhGt5FvBVNkU7dXbw1LVEsbNjaEtpy1QcAsA09pPg7W6\nNcaFjPtuN93kxOWwve92XBl9BeFJ4TDaboRj8cdq7o+ODnDrFi+wtbDg/f9HFB8PdOjAy5gcGVnr\n4DYqPQrd/Lth8ZXF2OK4BdPaT8PJhJMIHhIseHC7cCFw/DgQEVEhuH38+DHev38PJSXetlFiYmIw\nNTVF586dWXDLMAzDMD+IGkdwzc3NERMTw/+ey+XCwsKiwmMNjY3gMszPKycnB2VlZZCXlwcAeHp6\nQl9fn7eH6O7dwLJleHf4MMyHDIGRkRG6desGNzc3DB06FFFRUY3e36KyInTe1xnDjIdhTsc5jd7+\nv116eQlzLs5BU5GmWGu/FraaAmTyPXkSmDyZl9hr0SL+HsTfVXk5sGEDsHo172v8+FpNpX6R+QLL\nri3DpZeXsLzbcoy1GIukT0mw3WuLk64nBVu3/Dm4DQvjzR5QVOQ/VVRUBBkZGYiLi+Pq1auwtLQE\nAKxduxaampoYNmxYrV8ywzAMwzD/r9GmKHt7e6NFixYYN443YuHv749Xr15h06ZNdW5cUCzAZZhf\nh4+PD9LT07FkyRLMnTsXgz59gnVYGAJGj0YTY2PEx8ejsLAQ+/fvR2FhIcS/MaNuXaRkpcB6tzWC\nXILQXad7o7f/b1zi4kDMASy9uhT6ivpY1nUZbDRsvl4oLQ0YOxZ4/x7w8wPatWuczlbl8WPAwwMQ\nFgb27QNathS4aNKnJPxx/Q+cSjiFae2nYbbNbEiLSSOvJA8ddneAZztPTGk3peaKvhLcvnr1Cikp\nKejSpQv/e40vRnYZhmEYhqm7RpuiPG/ePLx58wadOnVC586dkZ6ejvnz59e5YYZhmKpoa2sjKSkJ\np0+fxtOnTzE1Kgp/iorCOzQUekRISUnBkSNHoKio+E3TleuDlpwWDjofxIjjI5Canfpd+vAlIY4Q\nRrcZjUSvRAw2HIzhfw+Hw0EH3E69XX0hdXVeZuDZs4F+/YBp04APHxqv0wBvj95Zs4AePYARI3h7\n3AoY3CZ9SsKk0Emw2mUFNWk1PPN6hmXdlkFaTBpEhPEh49FevT08rDxqruwrwS0AuLm5YfLkydD8\nZ6ulz1OUGYZhGIb58bAsygzD/FDu37+P8ePHw8bGBq1bt0bXrl3x8eNH2L96heKFC9EhPx/FmpqQ\nlpbGxo0bYWNTw0hlA1p9YzVOJJxAxJgIwRI9NZKS8hL4P/THyhsr0UKmBWZ2mIkB+gMgLCRcdYGP\nH4GlS4HDh4GZM4EZMwBJyYbrYEEBL9HV2rVAnz68KckCJi688/oO1t9ej0tJl+Bh5YFZHWZBQUKh\nwjE+t3xw+PFh3Bh3A+IiNYzwfyW4zcvLA4fDgZaWFj5+/IiNGzfi0qVLCAkJqfVLZhiGYRjm6xpt\ninJaWhpWr16NCxcuAAAcHBwwf/58qP1r+46GxAJchvl1fPz4ES1btoS6ujr8/f3R7oups+9WrULx\nwoXwcXREiqgoRo8ejYEDB+LEiRNo0aIF2rdv36h9JSK4HHVBc8nm2Om0s1HbFkQZtwwnnpzAhjsb\nkJGXgenW0zHOYhxkxGSqLvD8OW9N7pUrwKRJvEzGqqr116F373hb/2zeDNjYAMuWAaamNRYrLS9F\nyNMQrL+zHum56ZhhPQPjLMZVmcn6ctJljPh7BCInRkJTVvPrFdcwcjtt2jTk5+fjxIkTsLKyws6d\nO6Grq1ubV8wwDMMwjIAaLcAdM2YMjI2NMWbMGABAQEAAYmNjsX///jo3LigW4DLMr4OIMGTIEJw9\nexZZWVlo0qQJ/7n8/Hx4S0lhnYwMfPr0gWrnzpCXl8eIESPg5eXVqLkBPsspzoH1bmv8r+P/MNZi\nbKO3L6g7r+9gw50NuPDiAgboD8A4i3HorNkZnKoSOSUmAps2AYcOAd26AcOHA05OwLdkCi4oAC5c\nAI4e5QWSLi68DNlt2tRYNPFjIvY82IOAmADoyuvC29obAw0GQkSo6qRYr7JfwXq3NQKdA9FDp8fX\nK68huCUi6Ojo4N27dzA1NcXdu3cFfskMwzAMw9ReowW4hoaGiI+P518ElZeXw8TEBE+ePKlz44Ji\nAS7D/Fq4XC5evHgBPT29Ss/JyMjgmrs7WgYGYq+7O5KEhXH37l1oaGj8H3v3HZ/T9Qdw/PMkkgia\n2EGQyDBCECNGjVBCEXvVaqtWtXRqq7RVVdXyqypVtFq1Z1WsIDRoEIktoQlJhBAyCDJkPPf3x+mT\nQSJRGej3/XrlRZ7n5p7vM8/9nvO957Jx48ZiiBbORZ+j3bJ2eA31omm1psUSQ35dv3udladX8svJ\nX0hJT2FQ/UH0q9ePxlUaP5js3roFmzer0uVDh6BpU3XppqZN1WWHatWCMmXUaseaBvHxEBWlLu0U\nEKAu8+Prqxaw6tMHhg6FcuUeGt/l+MtsDNrIhqANhN4MZUSjEYx0GUndinUf+ndJqUm0/bUtgxsM\nznt16zySW4DAwEC6du3KjRs3GDRoEMuXL3/4PoUQQgjxWIoswf3888+Jj49n+PDhaJrGqlWrsLCw\nYMKECQAZl/YoTJLgCiEMBg0axNy5c7nw4YfU37yZtxo0wM7dnT179nD48EMWVSpkG4M2MmnPJAJG\nBzxwTuiTSNM0Aq4GsCFoA5vObQKgd93edKrVibY2bSljWib7H9y+rZLcgwfh5EkIC4PwcEhKAsMs\nu7k5VKmiEt9mzVQi3L49PKSfSNOn4R/pz57QPewI2cGFuAv0qtuLAU4DeKHWC5gYm+T6t1kfy0jP\nkSSmJrK239qcZ6UzN84zuQX47rvvOH/+PGfPnqVr165MnTo1zziEEEII8e8VWYJra2ub68GCTqcj\nNDT0sYPIiyS4Qoj7eXp6cmnqVPoEBnJjzRr6TJrEpUuXMu5PSEigdGEulJSDD/Z8wMmok+wcujP3\nBZ2eQJqmcfr6aTz/9mRv2F6OXTuGSxUXWtdoTdOqTWlarSm1ytbKuS/Q6yEtTSWOZnkvtBWTGIN/\npD8BVwM4evUof0X8RU3Lmrjbu+Nu546brVu+ktqsfvT/kYUBCzn82uEHE/PsDzTP5Pby5ctMnTqV\n1NRU3N3dqVq1KjY2NtSt+/AZZCGEEEI8niJLcJ8EkuAKIe537NgxevTowUu3b/O/ChVwiooiMDkZ\nIyMj4uLisLe3JyYmBmPjoks00/RpuK9wp1WNVnzZ8csia7egJaQk8FfEXxyNPErAtQCOXT3GnZQ7\n2Jezx66cHXbl7KhapirlzMtRrmQ5LEtaokOHhoamaSSnJRObFEtcUhwxiTGE3wrnQtwFLsRd4F76\nPZpVa0azas1oXq05bWu2xaqM1b+O9dDlQ/Re2xvfkb44VniwpD2DpsEnn4CnJ+zbl+vMraenJ716\n9aJSpUr8+eef1K9f/1/HJoQQQoj8K7IEV9M0jh8/zuHDh0lJSUHTNHQ6He++++5jN55fkuAKIe6X\nnp7OiBEjuH79Ot79+nH5zTcJWbKEZgMG4Ofnh7u7OxEREdSoUaNI47qRcINmS5ox/8X59Krbq0jb\nLkyxibGE3gzN+IlKiOJW8i1uJt0k/l58Rt+gQ0fJEiWpUKoC5c3LU8G8ArZlbXEo74BDeQesSls9\nvIT4EVy7c43mPzVncY/FdK/d/eEbf/YZbNqkVoh+yHVs582bx9tvv02ZMmW4detWkQ6QCCGEEP9l\nBZXz5bwUZRbjx48nJCSEFi1aYGpq+tgNCiFEQTA2NmbFihUkJiZCmTIsnzGDoaNGsT8xkaDERADC\nwsKKPMGtXLoyGwdupMfqHtStWJc6FesUafuFpUKpClQoVYHm1s3z3rgIpKSn0H9Df8Y0HZN3cjt9\nOmzYkGdyCxAaGkrz5s2xsLCQ5FYIIYR4CuWZ4B48eJAzZ84U2Ii7EEIUFCMjI8qUUedc+jZqxLWr\nV5nx2WfsbNUKc3NzwsPDadeuXZHH5WrtylcvfEWvtb3wG+WHZUnLIo/hWffOrneoWKoiU9vlsfjT\nzJmwZo1Kbq1yL4WeNGkSderUITQ0lMmTJ9O5c+cCjlgIIYQQRSHPBLdPnz4sX76cwYMHY5aPBUSE\nEKI4NG3alN2xsew2MeGj3btJ79SJ8PDwYovntSavcTzqOMM3D+ePwX9gpDMqtlieNctOLmNv6F78\nRvk9/Hn9+mv47Tfw8VGrO+dg3759mJqasnTpUkqXLs3NmzeZMWNGxsCJEEIIIZ4ueZ6Du3v3bvr1\n68e9e/cyElydTsft27eLJEBDe3IOrhAiL1u3buWrr76i7bFjfGxhwRcdOjBxzhzCwsJo3759kceT\nkp7CC8tfoGOtjnzu9nmRt/8sCrgaQLdV3dj/yn7qVaqX+4Zz5sDixSq5tbbOcRNN03BwcCA6Opre\nvXtTu3ZtPvnkE+Lj47GwsCicByCEEEKIHBXZObivv/4627Zto1WrVnIOrhDiiWZjY8ORI0cwat2a\n687OvLNsGZtsbdkdFFQsCa6psSkbB2yk+U/NaWzVmD71+hR5DM+S6IRo+q3vx6Ieix6e3M6dCz/+\nCPv355rcglqJG8DS0pLevXvj6urKzp07JbkVQgghnmJ51sxZW1vTpEkTSW6FEE88GxsbNE2jadOm\nmH30EYtLlKD/Dz+QGhZWbDFZlbFi08BNjNk2hsAbgcUWx9MuTZ/G4E2DGeo8lL71+ua+4bx5MH++\nOue2evWH7nPt2rUMGTKEM2fO0KdPH6pXr46vr28BRy6EEEKIopTnDG69evVo27YtPXv2xNJSLZRS\n1JcJEkKI/LC0tKRs2bI0bdoUGxsbttjZkXTmDD/+/TdERj50Nq8wNbduzv/c/0fvdb05Ouoo5czL\nFUscT7O3vd7GzNiMLzp8kftGCxbAd9+psuSaNR+6P71ez7p16/Dy8qJs2bIFG6wQQgghik2eM7hV\nq1ald+/eGBsbc/fuXe7cucOdO3eKIjYhhHhk3bp1o23btgAMGDCAFZUr85OmoXdzg6tXAYiPjy/y\nuEY0GkF3x+4M+X0I6fr0Im//abbQfyH7wvaxpt8ajI1yuXTPjz+q82737QMbmzz3eejQIcqWLUv9\n+vULOFohhBBCFKc8F5kySE1NBcDExKRQA8qJLDIlhPg3IiMj2bFjB9OnT+f0kCGU++MP0vfupYqL\nC35+ftjZ2RVpPKnpqXRZ2YUmVZswx31Okbb9tPIO9WbY78PwHemLfXn7nDdasABmz1ZlyXm8pqmp\nqZiYmDB9+nQSEhL4+uuvCyFqIYQQQjyqgsr58pzBvXjxIoMGDcLe3h57e3sGDx5MaGjoYzcshBCF\nzdramtGjR2NtbU1Qz57w8suktm2LcUwMJ0+eLPJ4TIxN2DhwI1uDt7IoYFGRt/+0CY4NZujvQ1nX\nf13uye2336qf/fvzTG6PHj1K7dq10TSN4OBg6tV7yEJVQgghhHgq5Zngzpw5k549exIaGkpoaCi9\nevXiyy+/zNfODxw4QL169XB0dGT+/Pk5buPv70/z5s2pV68ebm5ujxS8EELkh7W1Ne+99x61ly1j\nvakpfwInd+5k/Pjx+Pn58cUXDzmvs4CVNy/P9iHbmeYzjV0XdhVZu0+bm0k38VjjwZcdv6S9bS4r\nYH/1VeZqyba2ee5zzpw5hIeHc+nSJUJCQqhdu3bBBi2EEEKIYpdniXLjxo05fvw4RkYqF05PT6dp\n06b5mv1wcXFh3rx52NjY0KVLF/766y8qVqyYcb+maTRs2JC5c+fSqVMnYmJist2fEaSUKAshHsPE\niRNZsmQJS5cuZfjw4SyrU4fWf//NC5pGt3Hj8PX15fTp00Ua018Rf9F3XV/2jtiLs5Vzkbb9pLuX\ndo8XV71IoyqNmNtl7oMbaBpMnw5r1qhzbqtVy3OfycnJlC9fnhYtWjB+/HjGjBlDSEhIjn2OEEII\nIYpekV0H18PDg7fffptXXnkFTdNYsWIFHh4eee7YsIhLu3btAHB3d8fPz4/u3btnbBMQEEDDhg3p\n1KkTgBxoCCEKRcOGDZk4cSJDhw7FwsICKysrvm/RgoM6HR7LlhGsaaSnp2NsnMsCRoWgTc02fNf1\nO3qs6cGR145Q9bmqRdb2k0yv6XllyyuUMy/HnM45nKesaTB1KmzZomZurazytd/w8HCsra3p0KED\nXl5e6HQ6KlSoUMDRCyGEEKK45Vmi/P777+Pg4MDkyZP5+OOPsbe3Z9KkSXnu2N/fn7p162b87uTk\nxJEjR7Jts2vXLnQ6HW3btsXDw4Ndu6RcTwhR8EaNGsU333wDqEE7FxcXjrVuzeFOndiRnEwTMzPC\niuFauUOchzDKZRQeazy4c09Wpwf4yPsjLsdfZmWflQ+umKxp8MEHsH27WlAqn8ktqAS3Vq1auLq6\nsnHjRmrXro1Opyvg6IUQQghR3PKcwbW0tGTixIlMnDixwBtPTk7m5MmTeHt7k5iYSOfOnTl79izm\n5uYPbDtt2rSM/7u5ucn5ukKIf83ExARfX1927tzJ7FOn2HbrFmc9PXF4911iYmIoX758xmkZhW1q\nu6lcuXOF3ut6s2PIDsxKmBVJu0+i+X7z2Rq8Fd+Rvpib3NcPpKfDG2/AsWOqLLl8+Ufad1hYGLa2\ntri7uzN9+nRKlSpVgJELIYQQ4lH5+Pjg4+NT4PvN8xzczp07s2HDBsqWLQtAXFwcL730Up6zrfHx\n8bi5uXHixAkAJkyYQNeuXbOVKG/fvh0fHx9mz54NwKBBgxg5ciRdunTJHqScgyuEKAR6vZ7w8HD+\nfOcdBu/dS2kvL1zffZcZM2bg7u5eZHGk69MZvGkwek3P+v7rc7/W6zNszZk1TNozib9G/oVtWdvs\nd967B8OHQ0yMKk1+7rmH7svPz48TJ04wbtw4AH7++WcOHTqEo6MjkydPLqRHIIQQQojHUWSXCbpx\n40ZGcgtQvnx5rl27lueOLS0tAbWScnh4OHv27KFFixbZtmnZsiX79+8nMTGRuLg4Tpw4wfPPP/+o\nj0EIIf4VIyMj7OzsMO7Th3nNm6P16UOl48cJCQlhwYIFpKenF0kcxkbGrOyzktv3bjNu+7j/3IDe\n5nObeXf3u+watuvB5PbuXfDwgLQ02LEjz+QWYOfOnWzYsCHj91mzZrF8+XJs87HSshBCCCGebnkm\nuA0aNODYsWMZvwcEBOT72oHfffcdY8eOpVOnTowfP56KFSuyePFiFi9eDECFChV49dVXadasGX36\n9GH69OmUKVPmXz4UIYT4d9q2bcuCv/8m+Ouv+SU9HZO1a5kwYQLnz58vshjMSpixedBmTl8/zXu7\n3/vPJLleF7wYu20s24dsp37l+tnvjI2FTp2gZk1Yvx5KlszXPgMDA7l06RKgVuu/cuUK6enp1KpV\nq6DDF0IIIcQTJs8SZT8/P15++WVsbGwAtVDHihUrcHV1LZIAQUqUhRCFS9M0atasyZAhQ/hz4UI2\nJiayUK+nztKlvDpyZJHGcjPpJu4r3WlTsw3fun/7TC+E5BPuw8ANA9kyeAutarTKfmdkJLi7Q48e\nMGsWPMLz4OTkxIULF0hOTiY2NpbatWvj4uLCxo0bKf+I5+4KIYQQomgUVM6XZ4Jr4O/vD0Dz5s0f\nu9FHJQmuEKKwDRs2DE9PT/r06YP38uXs1OmIc3LC7dQpKMLLBwHcSr5F5xWdeb7G88ztMveZTHJ3\nX9zN0N+Hsr7/ejrU6pD9ztOnVWL75ptq1eRHkJKSgqWlJaVKlWLmzJnodDp++OEHTp06VYDRCyGE\nEKKgFXmCW5wkwRVCFLawsDD8/Pxo1aoVtra2jB44kNE7dtDc3R1WrkQrWRJN04psdeVbybdwX+FO\ny+ot+a7rdxjpiqbdovDH+T8Ys3UMvw/6nTY122S/c9cutaDU99/D4MGPtN/09HR+/PFH5s+fT7ly\n5Th79iyVKlXCycmJ7du3F+AjEEIIIURBK7JFpoQQ4r+gVq1aDB48GBsbG8qVK8eAUaPooteTqtNB\np05MHTMm41q6RaFsybLsHr6bY9eOMWLzCFLSU4qs7cK0+sxqxm0bx86hOx9MbpcsgZdfht9/f+Tk\nFuD06dNMnz6dqVOnYmtrS0JCAuHh4dSoUaOAohdCCCHEk04SXCGEuM+iRYto164djVxd2fPKK8Q3\na8bon3/m5oEDRRpH2ZJl8R7uzd2Uu3Rf3Z3b924XafsFbb7ffD7Y8wF7R+ylabWmmXfo9fDRRzB7\nNhw8CG3a5L6Th4iIiKBFixYMHz4cGxsbOnXqhLGxMdWrVy+gRyCEEEKIJ12eCe67775LYGBgUcQi\nhBBPhIEDB2JmZkaHDh34+ZdfaL5zJxuaNOGjPXvgjz+KNBZzE3M2DtyIfTl72i9rz7U7eV+m7UmT\nrk9n4s6JLDq2iL9G/pV9teT4eOjVCw4dgsOHwdHxX7cTERFBzZo1AXjttdf43//+R4MGDSTBFUII\nIf5D8kxw69Wrx5gxY3B1dWXRokXEx8cXRVxCCFHs3N3d2blzJ1OnTmWIpycvWViohY9mzoQiXBeg\nhFEJfuz+I/3r9afFzy04Gnm0yNp+XLeSb9FrbS+CooPwHemb/Tq358+DqyvY2sLevVCx4mO1FRER\nkVGOXLt2bRo2bMisWbNwd3d/rP0KIYQQ4umRZ4I7evRofH19Wb58OeHh4Tg7OzNkyBB8fX2LIj4h\nhCg2LVu25Pr164wYMYKqVauyPzGRpP37YcsW6NcPbt0CYOPGjYwbN65QY9HpdExpN4X5L86n++ru\nLD2+tFDbKwgno07SbEkzapWrxc6hOylbsmzmnZ6e0K6dKk2ePx9MTB67vcuXL2fM4Bp07dqVatWq\nPfa+hRBCCPF0yNc5uOnp6Zw/f55z585RqVIlGjVqxBdffMH48eMLOz4hhChWFhYWABgZGVGzZk3C\n7t2DAweINTcnwckJTpzgwIEDnDt3rkji6VW3FwdfPcicw3MYvnk48clPXlWNpmn8fPxnOq/ozBcd\nvmD+i/MxMf4ngU1Lg08+gTfegK1b4dVXC6zdrCXKQgghhPhvKpHXBu+88w5bt26lY8eOTJkyBVdX\nVwA+/PBDnJycCj1AIYR4UtSqVYuwsDBsbGyw27YNj8RElnfuTHVLS3YW4bVq61asS8DoAN7b/R6N\nFzdmRZ8VD65IXEyu3bnGmG1juHL7Cvtf2Y9TpSz9REQEDBkCpUtDQABYWRVo25LgCiGEECLPGVxn\nZ2dOnTrFkiVLMpJbg0OHDhVaYEII8aRxdnbm0KFD7N+/HxcXF0KaNCFg7ly6h4XxZXg4WlxckcVS\n2rQ0i3os4vuu3zNww0Be3/46N5NuFln799Nren498Ssui11wqeKC3yi/7Mnt779D8+bQsyfs3PlY\nye3JkyfZsmULoAZb/fz8CA8PJzo6WsqRhRBCiP84nZaPq+keO3YMLy8vdDodXbt2pUmTJkURW4aC\nuuivEEI8jnPnztGhQwd69eqFra0t4eHh6HQ6Dnl7Mz4igjFWVhj9+it06lSkcd1MusmUfVPYfH4z\nMzrM4OXGL1PCKM8CnQLjH+nPhJ0TAPih2w/ZLwGUkADvvw+7dsGaNdCixWO3N2XKFAIDA/njjz9w\ndHSkdu3anDhxgsmTJzNhwoTH3r8QQgghil5B5Xx5zuDOmzePCRMmYGZmhqmpKRMnTmTevHmP3bAQ\nQjxt6tWrR7t27Vi1ahUeHh40btyYpUuX0rlXL+bZ2xPx6afwyivw1luQmFhkcZUzL8fC7gvZMngL\nK06voP7C+qw9u5Z0fXqhthtwNYBea3vRa20vxjUbx6HXDmVPbv/8E5yd1XNx4kSBJLcAgYGBhIeH\nc+/ePSIiItizZw+DBg2S5FYIIYQQec/gNmjQgEOHDmUstHL79m1at27N2bNniyRAkBlcIcST6fDh\nw7Rv357Q0FBefvllXF1dcapShSFHjmDs5wc//ghduhRpTJqmsTdsL5/++SlRd6N4vdnrjHQZSYVS\nFQpk/ynpKXj+7cmSY0sIjA7kw+c/ZHST0ZibmGdudOcOfPihWkRq0SLo3r1A2jZwcHAgOjqaQ4cO\n0bdvX+bMmYObmxvPPfdcgbYjhBBCiKJTUDlfnjVsDg4OhISE0LSpGpW/ePEiDg4Oj92wEEI87Vq0\naIG/vz/Vq1fH2tqaWbNm0aBBA0516cKchQvRxo1D17o1zJ0LlSsXSUw6nY5Odp3oZNeJo5FH+cH/\nB+y+t6NNzTb0rduXbo7dqPpc1UfaZ2JqIntD97Ljwg42n9tM3Yp1GdVkFP2d+lOyRMnMDTUN1q1T\nJcnu7nDmDJQtm/uOH9HChQvZsmULkZGRmJiYcPjwYerWrYuHh0eBtSGEEEKIp1uuCa7hgCExMRFX\nV1fq168PqNIwNze3IglOCCGeZEZGRg0GmzwAACAASURBVDRq1AiAatWq0aBBA7y9vWnQoAEjR46k\nv16Pf7lylK5fX13v9c03wcysyOJztXbF1dqV2/dusyNkB5vObWLSnklYmFnQonoL6lasi42lDdWe\nq4aZsRnGRsakpKdw/e51ou5GERQTxIlrJ/g79m9crV3p7tidg68exLGC44ONBQbChAkQFwdr10Kb\ngl3V+erVq0yZMgVnZ2fq1KkDgJeXF3Xr1i3QdoQQQgjxdMu1RNnHx0dtkMNUsU6no3379oUeXNb2\npERZCPEkCwgI4Pbt23Ts2JERI0YAsGLFCubMmcN73brBpElw/jx88w306QNFeFmhrPSanpDYEPwi\n/bgQd4GI+Aiu3rlKqj6VNH0aJkYmWJWxwqq0FXUq1MGlqgvOlZ0pbVo65x1GRsL06WqV5M8+g3Hj\noETBL3B16NAh3nvvPdavX8+ZM2f46aef2LNnDz/99BMvvfRSgbcnhBBCiKJVUDlfvlZRLm6S4Aoh\nniaLFy9mwoQJODs7c/fuXc6ePYuJiQns2QPvvQfm5miffELHOXPY6eVFyZIl897pkyYuDr7+Gn7+\nGUaNUufcli9faM2tXbuW33//nfXr1wPqGu0HDhzAz8+PEoWQUAshhBCiaBXZKspCCCEeTZs2bUhN\nTeWdd97Bzs6Or7/+Wt3RuTOcPAnvvUf6Bx/wzf793PztN9DrizfgRxERAe+8Aw4OcOsWnD6tEt1C\nTG5VsxHUrFkz4/dJkyaxdetWSW6FEEIIkY0kuEIIUcDq1atHlSpVaNWqFV999RUrVqzIvNPICAYO\n5PTy5XwFlJk7F2rXVgtR3bpVbDE/lKbBkSMwfDi4uICxsUpsFy8Ga+siCeH+BLdatWpUq1atSNoW\nQgghxNMjX9fBzc9tQgghFCMjIy5evIi9vT116tTh0qVLpKdnvyZtxJUrbAa2fvIJrFgBAQFQqxa8\n+ip4e0N64V7DNl+io+Hbb6FBA5XcOjvDxYswZw5Ur16kodyf4AohhBBC5CTPBHfZsmX5uk0IIUSm\nUqVKAWBubk6lSpU4f/48sbGxGfdfvnwZgCuRkdCqFaxaBefOqSTyo49UAvnWWyrZTU4uusAjIuD7\n76FDB1WGfPKkup5vcDB88EGBXvYnJ5qm5Xj+jSS4QgghhMiPXE9eWrNmDatXryYsLCzbNQajo6Mz\nLhkkhBAib/b29owePZoGDRqwZMkSQCVsVlZWREZGZm5YpQq8+676OX8e1q+HTz5Rl+Bp2xY6doTm\nzaFJEyhT5vED0zS4fBl8feHAAfVz/Tr06AFvv63OGf4nUS9Mvr6+tG7dmqtXr+Lm5oapqSm7du2i\n+j+zxGlpaYSHh1OjRo1Cj0UIIYQQT7dcE9zWrVtTtWpVoqOjef/99zNG1G1sbKhVq1aRBSiEEE87\nBwcHli5dmjGrCyrBbd26NVeuXMn5j+rWhU8/VT9xcbB3L+zfDxs2wJkzYGOjtrGzU6XNNWuCpSVY\nWKgfIyNITVU/yclw4wZERakE9uJFlTQHBkLJktC6tUqgR42CRo0K5TI/udE0ja5du3Ly5EnOnj2L\nnZ0dbdu2ZfDgwWzatImXX34ZMzMzXFxcqFixYpHFJYQQQoinU65HMTY2NtjY2HDkyJGijEcIIZ45\n9vb2AISFhWXcFhERQd++fdm0aVPGbbf+WWSq7P1lwOXLw4AB6gdU0hoYCCEhEBamEt6dOyE+Hm7f\nVv/q9WBion5KloTKldUMcZUq0LgxDB0K9etDMSeNMTEx3L17l+joaCIjI6lVqxaTJ0/G09MTBwcH\nRo0aRUhICIsWLUJXTNcOFkIIIcTTI9cE9/nnn8fX15cyZco8cFCh0+m4fft2njs/cOAAY8eOJS0t\njYkTJzJhwoQct/P396dVq1asX7+evn37PuJDEEKIJ1ujRo3o0aMHu3fvJj09HSMjI4KDg2nfvj1z\n587N2O6bb74BYObMmQ/foYmJSlIbNy7MsAvF9evXuXz5Ms2aNQMyk/7o6GiuXLlC9erVMTY2xtPT\nk9TUVClLFkIIIcQjyTXBXb16NQB379791zt/6623WLx4MTY2NnTp0oWXXnrpgRKz9PR0PvzwQ7p2\n7VogF/YVQognTbdu3ejWrRvW1tZERkaSnp6Oubk5zZo1o0SJEvzyyy/ExsZy6dIlNE3jzJkz2NnZ\nUbp06eIOvcBt2bIFT09Ptm3bBjyY4Hbs2BGAKlWqFFuMQgghhHh65bqKcp8+fTL+369fv0fecXx8\nPADt2rXDxsYGd3d3/Pz8Hthu/vz59O/fn0qVKj1yG0II8TSpVasWb7/9NnPnzqVZs2YYGRkxdOhQ\nRo0axfLly7ly5QoRERGMHTs2+7VznyExMTFcvHgx4/esCW5kZCTWRXRdXSGEEEI8m3JNcLPOpoaG\nhj7yjv39/albt27G705OTg+czxsZGcmWLVt4/fXXAeT8KiHEM83W1patW7cyf/78jBLdkSNH0qNH\nD0JDQ7l8+TIRERGcP3+e3bt3Z/xdUFAQb7zxRnGFXaBiY2MJCwtDr9cDKsG1tbUlJiYmo0RZCCGE\nEOLfKrqlMnPw9ttvM2vWLHQ6Xa7XPjSYNm1axv/d3Nxwc3Mr/ACFEKIA9e3bl969e/P555/Tpk0b\nABwdHfH09KRSpUqEh4ej0+kwMzNj3759pKamYmJiwvHjx1mzZg0LFix46gcCY2JiuHfvHrt27cLJ\nyYmwsDBcXV2znYMrhBBCiGefj48PPj4+Bb5fnZZLVmlsbJxxSYukpCTMzc0z/ygfi0zFx8fj5ubG\niRMnAJgwYQJdu3ale/fuGdvY2dllJLUxMTGUKlWKn376iZ49e2YP8p8EWAghngWGxDWrli1bcuHC\nBUxNTbG1tSUpKYkFCxbw/PPPM3PmTKZMmUJoaOhTf5m2Hj16sH37diwtLRkzZgzLly/nk08+YfXq\n1Zw9ezbj9BYhhBBC/LcUVM6X6wxuenr6Y+3Y0tISUCsp16xZkz179vDZZ59l2yZr6fOrr76Kh4fH\nA8mtEEI8a+5PbkFdSig5OZmSJUtSp04drKys2L59OxcuXODSpUsAHD9+/KlLcFetWkXv3r0zFsyK\niYnB3t6eixcvsn79eoyMjGjatClvvfUWrVq1KuZohRBCCPG0K9QS5e+++46xY8eSmprKxIkTqVix\nIosXLwZg7Nixhdm0EEI8Vezt7bl9+zbm5ubUqVMHV1dXXnzxRVJSUmjcuDHNmjXj6NGj/2rRv+L0\n/vvvU7NmTdq2bQuoc3BbtWpFw4YN2bJlC71796ZSpUqkp6dnq/ARQgghhPg3CjXBbd++PefOnct2\nW26J7a+//lqYoQghxBOtQ4cOWFlZ0bp1aypVqkSlSpUoV64cpUuX5uTJk6xYsYL3338fR0dHRo0a\nVdzh5ktSUhJRUVFcuXIl47aYmBhmzpyJpaUlbdu2zXi8oC6nJIQQQgjxOHI9B/dJIufgCiH+i1JT\nU5kxYwbTp08nPj6e06dP8/rrr3PmzJl8/X1CQkKxXEv38uXLgLqOupOTE9988w2TJk0iLS2NkiVL\ncu/ePYyNjfHy8sLZ2Zlq1aqxePFixo4d+9QvoiWEEEKIf6egcr5cLxMkhBCieJmYmNCiRQvKli2L\nhYUFrVu35ubNmwQFBREXF5etE0hJSSEqKgqAU6dOERMTQ5MmTTh9+vRjxaBpGjNnzsyzw9E0LeOa\ntiNHjmTw4MEZv4eHh/Pll18SFxdH2bJlMTY2BqBr165YW1uj0+kYN26cJLdCCCGEeGyS4AohxBOs\nXbt2TJ8+HQAjIyN69+7N9u3b6dixI97e3vz222/ExsayatWqjFNAXnvtNdauXUtoaCh79ux5rPaj\no6OZMmUKN27ceOh2W7dupWHDhuzcuZPz589z584d5s+fT8WKFfHy8mLq1Kn4+PhQsWLFx4pHCCGE\nEOJhJMEVQognWJkyZZgwYULG702bNsXf35/AwEC++eYb3nzzTZo1a4avry9Xr17lypUrHDt2jICA\nANLS0ti3b99jtW9YwTnrqvc52bhxI2XKlMHDw4PZs2fz8ccf4+XlRZs2bTL+dt68eZLgCiGEEKJQ\nSYIrhBBPkYYNG7J9+3Z0Oh3e3t6MHz+eUqVKsXbtWqKioti6dSvPPfcchw4dwsbGBh8fH0aMGPFI\nbdy4cSPjWufh4eFAZoK7YsUKZsyYkbGtl5cXJ06cYNu2bezatQtPT08GDx5M3759sbKyok2bNgAM\nGDAAPz8/Pv744wJ4FoQQQgghciYJrhBCPEWcnJxITk7Gw8MDCwsL+vfvT69evUhNTeXGjRsEBATQ\ns2dPQkJCMpLhbdu2ZZyfa5DTObWBgYF4eXkxadKkjEu6GWZwL168CMC6detYvXp1xt8MGTKE559/\nno8++oiGDRtmrIRsamrK9u3bee211zAyMmLSpEmEhITISslCCCGEKFSFepkgIYQQBcvc3BxHR0ea\nNm3KkiVLqFChAmZmZoSGhrJr1y6OHz/OG2+8wapVq6hRowZubm40b94cf39/PDw8MvbTv39/hg0b\nRs+ePdm7dy8tW7akZ8+eWFlZkZiYiIWFBaBmcJ2dnQkNDSUlJYUDBw6g0+kIDQ3FwsKC9PR0EhIS\nclwgqmnTpgDMnz+fxo0bY2JiUjRPkhBCCCH+syTBFUKIp8zAgQPp2LEjFSpUAFTZ8tq1a6lbty6n\nT5/m+eefx8jIiOrVqwNkJLhWVlZcvnwZDw8Pdu7cyZUrVwgKCmLq1KmsWbOGypUrc+rUKdLS0rC1\ntQXUDG7Hjh3ZsGEDrVu3xtHREXt7e2rXrs3YsWNxcHDIc/Xj8ePHF+rzIYQQQghhIAmuEEI8ZQyr\nKt+vSpUqBAcHY2dnh7W1dbYEd968eezbtw9zc3OqVauGo6Mjt2/fZtWqVVSuXJl9+/bh6upKfHw8\nf//9N1euXGHYsGH4+Pjw5ptvsnXrVt577z3q1q2LpaUl1atX59dff6Vz585F+dCFEEIIIR5KzsEV\nQohnRJUqVbC2tsbMzAxnZ2fq1KkDQIcOHTIS17Nnz3LgwAHc3NwICgoiKCgIFxcXvL29sbOzo3nz\n5rRs2ZLw8HA2b97M+PHjad++PRcvXuSll17CxcUFOzs7hg0bxq1bt3BwcCjmRy2EEEIIkUlmcIUQ\n4hlhZWVFrVq1ANi+fXvG7RYWFvj6+hIXF4eTkxNr1qzh888/zygttrOzY9euXdjb2+Pk5MSdO3cY\nNGgQtWrV4uuvv86xrYYNG1KqVClJcIUQQgjxRJEEVwghnhFVqlTJSHDvV7JkSapVq0aDBg04fvx4\nttJiOzu7jH+dnJwAsLa2pkmTJrm2VaJECfr06ZOxkJQQQgghxJNAElwhhHhGDB8+nDt37jx0mwYN\nGlC5cmVKlSqVcZshwTUsLAVQo0YNXFxcHrqvlStX/vtghRBCCCEKgSS4QgjxjDAsKvUwb7zxxgPX\nwLW3t6datWrZkt5XX32VVq1aFXiMQgghhBCFSafdf6TzBNLpdA8ckAkhhCgYmqZx4cIFHB0dizsU\nIYQQQvxHFVTOJwmuEEIIIYQQQohiVVA5n1wmSAghhBBCCCHEM0ESXCGEEEIIIYQQzwRJcIUQQggh\nhBBCPBMkwRVCCCGEEEII8UyQBFcIIYQQQgghxDNBElwhhBBCCCGEEM8ESXCFEEIIIYQQQjwTJMEV\nQgghhBBCCPFMKNQE98CBA9SrVw9HR0fmz5//wP2rVq2iUaNGNGrUiCFDhhAcHFyY4QghHpGPj09x\nhyDEf5J89oQoPvL5E+LpVqgJ7ltvvcXixYvx9vbmhx9+ICYmJtv9dnZ2HDhwgFOnTtGlSxe++OKL\nwgxHCPGIpJMXonjIZ0+I4iOfPyGeboWW4MbHxwPQrl07bGxscHd3x8/PL9s2rVq1wtLSEoDu3buz\nf//+wgpHCCGEEEIIIcQzrtASXH9/f+rWrZvxu5OTE0eOHMl1+yVLluDh4VFY4QghhBBCCCGEeMaV\nKO4AALy9vVm5ciWHDh3KdRudTleEEQkhDD7//PPiDkGI/yT57AlRfOTzJ8TTq9AS3ObNmzNp0qSM\n3wMDA+natesD250+fZpx48bh5eVF2bJlc92fpmmFEqcQInfTpk1j2rRpxR2GEP858tkTovjI50+I\n4lFQE5qFVqJsOLf2wIEDhIeHs2fPHlq0aJFtm4iICPr168eqVatwcHAorFCEEEIIIYQQQvwHFGqJ\n8nfffcfYsWNJTU1l4sSJVKxYkcWLFwMwduxYpk+fTlxcHOPGjQPAxMSEo0ePFmZIQgghhBBCCCGe\nUTrtKaj91el0UqIsRDHw8fHBzc2tuMMQ4j9HPntCFB/5/AlRPAoq55MEVwghhBBCFKt33oHPPwcL\ni+KORAhRXCTBFUIIIYQQT730dDA3B39/aNSouKMRz6Ly5ctz8+bN4g5D/KNcuXLExcU9cHtB5XyF\ntsiUEEIIIcTjCgqC//2vuKMoPD/9BGlpxR1F8bp6FVJTITo687akJLh1q/hiEs+Wmzdvomma/Dwh\nP4U92PDMJrjHj8OoUYXfjl4P9+4VfjsFTdPgs8+kU32Y7dvh3LnijkIIIf7bAgLgjz+KO4rCkZYG\nY8eqY5b/stBQ9W/WBHfJEvjoo+KJRwjxdHvqEty7d2H06LwTs+DgwukwvL3VKKPBggWqc8pJfHzB\nt19Q/voLpk+Ha9eKO5KikZSkXqtHsWgRzJhROPEIIYTIn5gYiI0t2H3+8IOaNSxuUVFqwNnHp7gj\nKV6GBDcmJvO2ixfhypXiiUfk3+3b8M8FUv6VgjwD8dIl2LOn4PYnnl5PXYIbFAQ//wybNuV8v6bB\nyZOqM4yNVaO+a9fmvd8zZyA/s+XDhqltDVauhNOnH9zu4kWws4Pk5Oy379ihvgyK29Kl6t+oqPxt\n7+cH8+cXXjwPExn5+Pu4cAGmTHm0v7lyBTZuzD6iLIQQ/wXp6bBrV3FHoURH557g/tskdfFi2Ls3\n5/tmzSr4x55bpZch/sJIcL/44sl5DfMSGgqmptn72/BwuH692EISD5E1Kf3zT5g4UU1AParkZKhX\nD27cePC+hIRHT363bIHJkx89DvHsyXeCu9SQEf0jLS2NadOmFXQ8eQoOhsqVc0+2vvwSXF3Vl2Rc\nHBw4oD58W7ZkT5QSEmD16swP1QcfqMT5+nUYPDjnGeI7d9T9ho42NFQlTsHBqlQ5q/PnVfvbtmW/\nfcqU3DucRYtUvFmdOwdff/3gtgcOPNjmo/DyggYN8p/gLluWvURs0yZV4nx/Ap+XiAh45RX1muRH\nWpoaKMgpzpAQSEnJ337i4tTAwqMMLkRGQsOGD74mQgjxrPv7bzWg+yQw9Of3H+zevAkODv/uNKHo\n6OyD1Vnt26d+CkqbNqofy8nVq9C6NRw+rI4Bxox5cJv89HOapl6zrHbvVuXdObl9O/cqs+3b4eWX\n826zIIWFQePG2Wdww8Pzf4xyv7Q0NdHwXxcSAq1aZb/t3r3Mz9KdOzB1avb7589XEzcPq5Ts1i3z\nM3L0qHqPrlkDgYHZt8vr9Tt9Wr1vf/31wft691bv4Yfp0gWOHcv8PTQUTpzIfu52aqq8F4rDsmXL\naNu27UO3mTix8NrPd4Lr7e1Nt27duHr1KmfPnqVVq1bcuXOn8CLLRUgIvPSSegOnp2e/b8sWNSpb\nsqRKOu/eVbNw16+rBSp271YJWbt2auR24kQ1crR+vSpr+PNPldyuW5fzh9JQQmNIcP384IUX4Lnn\nVDI0cyacOgWrVqkEt1IllTRnFRurtsnJ8uUwd2722xYsUKXEWRNJvV59qE+ezP/zllV0tPqCa948\nf6OjmqYS9azlzJ98AgsXPnry99134OmZ/1Hl2Fj1xZnTwcawYeq1AxXbG2/kvh/DQm2GcqdFizL/\n1uDmzcyZ7Xv31BdkmzZqEEMIIf5LoqLU9+a/GUidOvXhJcWvvJI5+BsbC+++qy4Pk1u1TEyMOti+\nf4Dy+nV1+kluayUMG5ZzEqdpap9nzqiD34ULs98fEQFnz+Ye/6NISlIJwPXr2U9vWr5cHZhfvQrO\nzvD66+pn2zZVYrljR2asdnZ599WzZkHTptkHAYKDcy/xnTMHPvww+23JyWrQ//Bh1T/mNiN35YqK\nvyCFhkKLFpnvAU3LnME1vAfT01XinZ+E38cHBg0q2BhzM2+emrzYskUlUjnF98036j2ekzt3Cq8U\n+/RpNciR9b3n7p6ZOP79N3z7beb7RtNg9mz1N40aqcGOnAQFZVZA+PtD27ZqcCbrwEhqKjg6Ppj0\nZmVo55dfHrzv0iU4dCjz94MHVdKb1alTapE2g4sXoUQJdRqeQb168PvvucdQ3GxtbTEzMyP2vi9N\nFxcXjIyMiIiIKKbICt+CBaqvuXYt++BWQch3grtmzRpGjBhBw4YN6d69O3PnzuV/D1nWcOTIkVhZ\nWeHs7JzrNpMnT8bOzo6mTZty/vz5fMUREqK+xK2ssicecXHq3NxNm6BmzcyR2XPn1Bd2ZKT6sjx9\nWn1I9u9XX37ff68S2kuX1Af+xg21/5zKYg3tGZKlCxfUh7dOHfUlsW4dHDkCI0eqsuh33lFtZi2n\njonJOTHV61WHundv5ouckqL2Wb26itXQoURFqY7o384snj2rZm+rVs2eyJ85owYO7hcYqBI+QymV\npqnna9iwRx/lPn8eevR4cKTZwM9PdRIGhs7u/lIyw2h11hHE5cszv6RPnMgckIDM1+zyZfWvt7da\nwALUYxs/XrUxfbq67epV9fzUqSMJrhDivycqSvVL/2Yc+4cfcj51x2DrVhg+XA0i7toFvr6qX/z0\n0+zbRUdDkyaZ/cD9SbPh9pwGjTVNnWKS0yxtfLxKmM+cUccUb7yReYqSpqkE92EH5XlJS8tMym7e\nhAoV1E/WA7g5c1Sfc/UqVKumBo137VLP97ffZlZMXb6sjkcuXFCVZ1n73LAwlYQmJ6v1IoyM1D4+\n+0w9tzduqMQpNVUlNVn7sosXs+8rPBysrdWxwdmzoNNlJtn3++MPlcgsWZL/EtKePXPv90H114bq\nO8PzZmQEZcpkvjY+Pqqfv3ZNHYNkTWwM7t1TM5CXL6vX0eDgQfU+MwgKgg4dco9H0/Jf/r53rzr2\n+/JL1baNjYoPVAI3eTJs2KAGIUaPzoxLr1eDEN98A++9l7+28mKoHjQICVHvR8Nrf+mSOnY0xBAV\npQZhDM/7hQvquYuNVe+RsWMhMTF7G2lp6j3511/qMfj7q8f900/qtfH0VINRp06p92fWY7r7HTum\n2oiLU+/VrO+nqCh1bGcQGpr5Wb9yRb0vYmPVcfK8eepvQ0OhV6/Mkv+EBPU47h/EepLodDrs7OxY\ns2ZNxm1nzpwhKSkJnU5XjJFlMqx8XNDq1oXNm9UA0bffFuy+853gBgcH8/3339O3b19q1qzJypUr\nSUhIyHX7V199FS8vr1zvP3r0KAcPHiQgIID333+f999/P59xqKSyYcPMDlTT1JPTt6/6gqxaVX3I\nDdtfv66+qMLDM8t1du1So6INGqgvPTMz1ZF+8gnUqKE+POnpqkMyjCwYviAMneyFC6o8qm5dlUhf\nvKj2n5Ki/q1fX32oJk9WXwJJSeonpwT30iWwtFQzwobZzVOnVHI7bpwqKfb0VLcbSi2yJrjJyeqD\nfPBg9i+ES5fUl1PWTt6Q4FpZZU9wZ82CrFXnmqaem2PHoFMn1UZionr8pqZqJC2/CW5ysupQzp1T\nfxccDF27Plg2snSpSpwNnUN0tHo916zJvip2dLT64ty7V8V57pz6/ehR9Rx89pnq0A0l6PfP4F66\npL4AY2PVSPWPP6qBiMuX1XP92Weqs3dwyDvBDQ9/sJRn9Wo1eGLQvHnOnaWPT/byGiGEeBIY+oZz\n57LPohikpqp+9/4FXW7dUj+5TTrcuqWSkDp1VBJ59Cj066eSzPvHuY8eVYOV585B6dK5J7iGPjUt\nLbNcOTFR/T+nsfOYGLC1VQfhhsUojxxR/xr6t+joB2eMIyPVIGxKitrOcLx38qQq2bx2TQ2eWlmp\npGX2bPUYy5VTt61erY5TDOXRly9nJrjm5qrPcnJSg+2G589wQB8ervY9fHhmu6NHq9OrgoPV43F0\nVKcTrVypEhtTU9Xn7dmjXsNXX818LGFhahtDnzhliqpqK1dOHYMMHaomAgz0etU3d+igYh87ViUV\nWU8XS01VlWxZq+sSEzOrsLIem2SVkKAGHRo2zBwECA9Xj6lKlcz34sqV6t8bN1S/vWjRg/uaNUs9\njtOn1fOclKSer1Gj4MUXM1/n8+fVTHVuZbienmpmUa9/cJusx/mapvZz6pRqc+FCFa8hmd+wQVUQ\nnj+vBnYCA9UxBqhk3TB7GRyc8/4Nvxue0/feyxycz8knn6jnSdPg448zj/0Mn4N169TgxfXr6vjG\nUKkQHq7+NUwmREaq7Zo3f7B8ODISLCzUsYu/v6pWbNRIPccjR8Jrr4Gbm3ofOTo+mOAuWqQGn4KC\n1PuiWTNVLff66+pz/tln6n2TkKDeM3v3QsuW6nWPiFDvpzffVINElpbqc7VsmRpYCwtT73PDe9cw\n0WF4fE+qYcOGsTxLWcRvv/3GiBEjMpLKtLQ01q9fT8eOHWncuDFLly4l5Z9SgVu3btGjRw8qV66M\no6Mjn376KTeynNS8ZcsWOnToQNmyZbGzs2P16tUATJs2jeHDh2dsFx4ejpGREfp/Rufc3NyYOXMm\n7u7uWFpaEhYWxrVr1/jiiy9wcHBg0KBB+Pn5Zfz93bt3mTlzJtWrV+eFF14gKh/nF0yfrmbXDx1S\n74eCVCK/G/bs2ZMFCxbQqVMn9Ho9c+fOpXnz5gTlElHbtm0Jf8g7ys/Pj/79+1O+fHleeuklpt5/\nEsB9vv7ra5WoWcLO23CnESw6oyOsmkr0jkWr8ojZvjri6kJaoipTSEmDMB1oVXQcTIdzwVCiHQSm\nwdnndKTeguv2UK0q9HsLIo0h9xtgQgAAIABJREFU2kHHiguwZYn6EjUxgaZNdSQnQyUP8L4LZQ7D\ngRSwMNMRbQ+LTkKCM2yNBlqoEZfDGliVgqRGUGcENG6s47lOEJsKX+1TH2QdatszZ8CiE1AbFp/Q\ncdPxn9lUVzBuBRNWwIoVOn44Cn4nwWEI7L4GPxzVodPBzp3qSzY5WT3u7t1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Vb5v2qGZ9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\n"
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Which is also a nice fit to the data (or run it for 50000/40000 iterations/burn). Which to choose gets into model selection, which I'll hold off on talking about for now. So that should give the basic idea of what's happening.\n",
"\n",
"We detect a dip in flux as a function of wavelength using a spectrograph. This dip corresponds to a cloud (or two, or three, or...) in space.\n",
"We can model this and fit for the parameters of the model. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# My explanation of the the first part of this notebook.\n",
"YouTubeVideo('G5KUWPTVZOk')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
" <iframe\n",
" width=\"400\"\n",
" height=\"300\"\n",
" src=\"http://www.youtube.com/embed/G5KUWPTVZOk\"\n",
" frameborder=\"0\"\n",
" allowfullscreen\n",
" ></iframe>\n",
" "
],
"output_type": "pyout",
"prompt_number": 117,
"text": [
"<IPython.lib.display.YouTubeVideo at 0x1178b0410>"
]
}
],
"prompt_number": 117
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Closer to real stuff"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is an iron (Fe) spectrum, which is the physical process that's actually being modeled: \n",
"\n",
"What you see here is an emission spectrum (which is exactly the opposite of absorption) from iron: \n",
"\n",
"<img src=\"http://upload.wikimedia.org/wikipedia/commons/5/52/Emission_spectrum-Fe.svg\">\n",
"\n",
"Or a slightly more realistic version: \n",
"\n",
"<img src=\"http://upload.wikimedia.org/wikipedia/commons/6/6a/Iron_Spectrum.jpg\"> \n",
"\n",
"What you should notice is that there are many many many lines for iron. What you are seeing, in effect, is all of the energy levels available to the outer most electron in an iron atom. There are many different levels that that atom can be kicked into -- with differing probabilities for each jump.\n",
"\n",
"The strength of the line depends on the wavelength of light, and the quantum mechanical probability of the transition happening. It turns out that some jumps are billions of times more likely to happen than others. In absorption this translates into a much \"deeper\" line.\n",
"\n",
"A lot of the following code relies on [Neil Crighton](http://www.mpia-hd.mpg.de/homes/nhmc/)'s excellent [Barak](http://nhmc.github.io/Barak/) library. So if you want to run this yourself, you'll have to grab that code (pip install barak)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pixel_size = 1.3 # km/s per pixel\n",
"subsample_factor = int(9)\n",
"\n",
"# These functions calculate the theoretical tau/flux on a grid smaller than pixel-size \n",
"# so that the integration across the pixel can be more accurately calculated.\n",
"def subsample(wave, subsample_factor=subsample_factor, pixel_size=pixel_size):\n",
" # Assumes wave was created by make_constant_dv_wa_scale\n",
" # pixel_size is in km/s of the original wave array\n",
" begin_size = wave[1] - wave[0]\n",
" end_size = wave[-1] - wave[-2]\n",
" subwave = barak.sed.make_constant_dv_wa_scale(wave[0] - begin_size/2.0, wave[-1] + end_size, pixel_size/subsample_factor)\n",
" return subwave[:len(wave) * subsample_factor]\n",
"\n",
"def co_add_from_subsample(subsampled_flux, subsample_factor=subsample_factor):\n",
" starting_length = len(subsampled_flux)\n",
" intermediate_step = subsampled_flux.reshape(starting_length/subsample_factor, subsample_factor)/float(subsample_factor)\n",
" return np.sum(intermediate_step, axis=1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following is a small selection of iron atomic transitions that are centered on various rest wavelengths."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"with open('cut-atom.dat', 'w') as filehandle: \n",
" print >> filehandle, \"\"\"FeII 2600.1721140 0.23900000 2.700E+08 55.8450 1370.0 \n",
"FeII 2586.6493120 0.06910000 2.720E+08 55.8450 1515.0 \n",
"FeII 2382.7639950 0.32000000 3.130E+08 55.8450 1505.0 \n",
"FeII 2374.4600640 0.03130000 3.090E+08 55.8450 1625.0 \n",
"FeII 2367.5892400 0.00002160 3.070E+08 55.8450 1803.0 \n",
"FeII 2344.2127470 0.11400000 2.680E+08 55.8450 1375.0 \n",
"FeII 2260.7791080 0.00244000 2.580E+08 55.8450 1435.0 \n",
"FeII 2249.8754720 0.00182000 3.310E+08 55.8450 1604.0 \n",
"FeII 1611.2003690 0.00138000 2.860E+08 55.8450 1330.0 \n",
"FeII 1608.4508520 0.05770000 2.740E+08 55.8450 -1165.0 \n",
"\"\"\"\n",
"atomDict = absorb.readatom('cut-atom.dat') # Load in the just-created file for the barak library"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create physical clouds (this generates the number of clouds)\n",
"true_components = 2\n",
"\n",
"# As before, these rely on 3 parameters but they have different names\n",
"# z is cosmological redshift\n",
"# b is width of the line (like sigma above)\n",
"# N is log of column density (number of iron atoms in the cloud) sorta like amplitude above\n",
"z_lower = 1.7108\n",
"z_upper = 1.711\n",
"b_lower = 0.7\n",
"b_upper = 6.5\n",
"N_lower = 11.5\n",
"N_upper = 14.2\n",
"\n",
"# Observed spectrum\n",
"onesigmaerror = 0.02\n",
"\n",
"pixel_size = 1.3 # km/s\n",
"subsample_factor = int(9) # \n",
"subpixel_size = pixel_size / subsample_factor # km/s\n",
"instrument_profile = 2.5 # km/s\n",
"\n",
"lineList = []\n",
"\n",
"wavelength_buffer = 1.5 # Wavelength region extension\n",
"lower_wavelength_factor = (1 + z_lower)\n",
"upper_wavelength_factor = (1 + z_upper)\n",
"\n",
"trans1 = 1608.4507986\n",
"trans2 = 1611.2004037\n",
"trans3 = 2382.7640777 \n",
"trans4 = 2600.1721140 \n",
"trans5 = 2344.2127470 \n",
"\n",
"wavelength1 = barak.sed.make_constant_dv_wa_scale(trans1 * lower_wavelength_factor - wavelength_buffer, \\\n",
" trans2 * upper_wavelength_factor + wavelength_buffer, \\\n",
" pixel_size)\n",
"\n",
"# 2382\n",
"wavelength2 = barak.sed.make_constant_dv_wa_scale(trans5 * lower_wavelength_factor - wavelength_buffer, \\\n",
" trans5 * upper_wavelength_factor + wavelength_buffer, \\\n",
" pixel_size)\n",
"\n",
"wavelength3 = barak.sed.make_constant_dv_wa_scale(trans3 * lower_wavelength_factor - wavelength_buffer, \\\n",
" trans3 * upper_wavelength_factor + wavelength_buffer, \\\n",
" pixel_size)\n",
"\n",
"wavelengthList = np.array([wavelength1, wavelength2, wavelength3])\n",
"#wavelengthList = np.array([wavelength3])\n",
"\n",
"wavelength = np.array(np.hstack(wavelengthList))\n",
"\n",
"noiseList = np.array([np.random.normal(0.0, onesigmaerror, len(wave)) for wave in wavelengthList])\n",
"noise = np.hstack(noiseList)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 114
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"profiles = {}\n",
"for component in range(1, true_components + 1):\n",
" tempz = np.random.uniform(z_lower, z_upper)\n",
" tempb = np.random.uniform(b_lower, b_upper)\n",
" tempN = np.random.uniform(N_lower, N_upper)\n",
" lineList.append(('FeII', tempz, tempb, tempN,))\n",
" profiles[component] = {}\n",
" profiles[component]['true_feature'] = ('FeII', tempz, tempb, tempN)\n",
" \n",
"observed = {}\n",
"for region_index, region_wavelength in enumerate(wavelengthList):\n",
" observed[region_index] = {}\n",
" observed[region_index]['total'] = np.zeros_like(subsample(region_wavelength))\n",
" for component in range(1, true_components + 1):\n",
" observed[region_index][component] = convolve.convolve_psf(VoigtAbsorption(co_add_from_subsample(absorb.find_tau(subsample(region_wavelength), \\\n",
" [profiles[component]['true_feature']], \\\n",
" atomDict, )[0])), \\\n",
" instrument_profile)\n",
" observed[region_index]['total'] += absorb.find_tau(subsample(region_wavelength), \\\n",
" [profiles[component]['true_feature']], \\\n",
" atomDict, )[0]\n",
" observed[region_index]['observed'] = convolve.convolve_psf(VoigtAbsorption(co_add_from_subsample(observed[region_index]['total'])), \\\n",
" instrument_profile)\\\n",
" + noiseList[region_index]\n",
" observed[region_index]['true_model'] = VoigtAbsorption(co_add_from_subsample(observed[region_index]['total']))\n",
" observed[region_index]['IP_true_model'] = convolve.convolve_psf(observed[region_index]['true_model'], instrument_profile)\n",
"\n",
"total_observed = np.hstack(observed[region_index]['observed'] for region_index in range(len(wavelengthList)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 115
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"region_index=1\n",
"f, (ax1, ax2, ax3) = pylab.subplots(3, sharex=True, sharey=False)\n",
"ax1.plot(wavelengthList[region_index], co_add_from_subsample(observed[region_index]['total']), label='model')\n",
"ax2.plot(wavelengthList[region_index], observed[region_index]['IP_true_model'], label='total model', color='black', linewidth=2.0)\n",
"for component in range(1, true_components + 1):\n",
" if component == 1:\n",
" ax3.plot(wavelengthList[region_index], observed[region_index][component], color=\"red\", label=\"Actual\")\n",
" else:\n",
" ax3.plot(wavelengthList[region_index], observed[region_index][component], color=\"red\")\n",
"ax3.plot(wavelengthList[region_index], observed[region_index]['observed'], label='Observed')\n",
"ax1.legend()\n",
"ax2.legend()\n",
"ax1.set_ylabel(\"Normalized Flux\")\n",
"ax1.set_title(\"Generated Model\")\n",
"ax3.legend()\n",
"lowery = -0.02\n",
"uppery = 1.06\n",
"#ax1.set_ylim(lowery, uppery)\n",
"ax2.set_ylim(lowery, uppery)\n",
"ax3.set_ylim(lowery, uppery)\n",
"ax1.set_ylabel(\"Optical Depth\")\n",
"ax2.set_ylabel(\"Normalized Flux\")\n",
"ax3.set_ylabel(\"Normalized Flux\")\n",
"ax3.set_xlabel(\"Wavelength of Light (Angstroms)\")\n",
"f.subplots_adjust(hspace=0)\n",
"#pylab.savefig(\"single-example.pdf\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
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052hOCQCA+1hahDAMQ127dlXv3r311VdfWRkFAAD4ucutjFGsUydp+XKJv5MAAOB6lk7H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\nbW8AAAAASUVORK5CYII=\n"
}
],
"prompt_number": 116
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"extra_fit_components = 0\n",
"fit_components = true_components + extra_fit_components\n",
"estimated_variables = {}\n",
"fit_N_lower = N_lower - 0.5\n",
"fit_N_upper = N_upper + 0.5\n",
"fit_b_lower = b_lower - 0.1\n",
"fit_b_upper = b_upper + 3.5\n",
"fit_z_lower = z_lower - 0.00005\n",
"fit_z_upper = z_upper + 0.00005\n",
"\n",
"# Instrument profile\n",
"fit_instrument_profile_lower = instrument_profile - 0.5\n",
"fit_instrument_profile_upper = instrument_profile + 0.5\n",
"\n",
"estimated_variables = {}\n",
"for component in range(1, fit_components + 1):\n",
" estimated_variables[component] = {}\n",
" estimated_variables[component]['fit_z'] = mc.Uniform(\"est_z_\" + str(component), fit_z_lower, fit_z_upper)\n",
" estimated_variables[component]['fit_N'] = mc.Uniform(\"est_N_\" + str(component), fit_N_lower, fit_N_upper)\n",
" estimated_variables[component]['fit_b'] = mc.Uniform(\"est_b_\" + str(component), fit_b_lower, fit_b_upper)\n",
" \n",
"estimated_instrument_profile = mc.Uniform(\"est_IP\", fit_instrument_profile_lower, fit_instrument_profile_upper)\n",
"\n",
"std_deviation = 1./noise**2"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 112
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@mc.deterministic( trace=False )\n",
"def mean(region_list=wavelengthList, \\\n",
" fit_component_guesses=estimated_variables, \\\n",
" fit_instrument_profile=estimated_instrument_profile):\n",
" \"\"\"Creates the absorption for the components\"\"\"\n",
" fit_flux = {}\n",
" for region_index, region_wavelength in enumerate(region_list):\n",
" fit_flux[region_index] = {}\n",
" fit_flux[region_index]['total'] = np.zeros_like(subsample(region_wavelength))\n",
" for fitcomponent in range(1, fit_components + 1):\n",
" z = fit_component_guesses[fitcomponent]['fit_z']\n",
" b = fit_component_guesses[fitcomponent]['fit_b']\n",
" N = fit_component_guesses[fitcomponent]['fit_N']\n",
" for region_index, region_wavelength in enumerate(region_list):\n",
" fit_flux[region_index]['total'] += absorb.find_tau(subsample(region_wavelength), \\\n",
" [('FeII', z, b, N, )], \\\n",
" atomDict, )[0]\n",
" for region_index, region_wavelength in enumerate(region_list):\n",
" fit_flux[region_index]['flux'] = convolve.convolve_psf(VoigtAbsorption(co_add_from_subsample(fit_flux[region_index]['total'])), \\\n",
" fit_instrument_profile)\n",
" return np.hstack(fit_flux[region_index]['flux'] for region_index in range(len(wavelengthList)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 113
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"observations = mc.Normal(\"obs\", mean, std_deviation, value=total_observed, observed=True)\n",
"trymodel = mc.Model([estimated_variables[x][y] for x in estimated_variables for y in estimated_variables[x]] + [std_deviation] + \\\n",
" [estimated_instrument_profile])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 89
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"map_ = mc.MAP( trymodel )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 90
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"first_fit = datetime.datetime.now()\n",
"map_.fit()\n",
"trymcmc = mc.MCMC( trymodel )\n",
"print \"Initial fit time: \", str(datetime.datetime.now() - first_fit)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Initial fit time: 0:00:11.179322\n"
]
}
],
"prompt_number": 91
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"starttime = datetime.datetime.now()\n",
"print \"Starting time: \", starttime\n",
"iterations = 12000\n",
"burn=6000\n",
"thin=2.0\n",
"trymcmc.sample(iter=iterations, burn=burn)\n",
"finishtime = datetime.datetime.now()\n",
"sampletime = str(finishtime - starttime)\n",
"print \"\\nTook:\", sampletime, \" to finish\", str(iterations), \"iterations.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \r",
"[****************100%******************] 12000 of 12000 complete"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"Took: 0:10:15.518692 to finish 12000 iterations.\n"
]
}
],
"prompt_number": 92
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fit_flux = {}\n",
"for region_index, region_wavelength in enumerate(wavelengthList):\n",
" fit_flux[region_index] = {}\n",
" fit_flux[region_index]['total'] = np.zeros_like(subsample(region_wavelength))\n",
" for component in range(1, fit_components + 1):\n",
" fit_flux[region_index]['total'] += absorb.find_tau(subsample(region_wavelength), [('FeII', \\\n",
" estimated_variables[component]['fit_z'].value, \\\n",
" estimated_variables[component]['fit_b'].value, \\\n",
" estimated_variables[component]['fit_N'].value)], atomDict, )[0]\n",
" fit_flux[region_index][component] = convolve.convolve_psf(VoigtAbsorption(co_add_from_subsample(absorb.find_tau(subsample(region_wavelength), \\\n",
" [('FeII', \\\n",
" estimated_variables[component]['fit_z'].value, \\\n",
" estimated_variables[component]['fit_b'].value, \\\n",
" estimated_variables[component]['fit_N'].value)], atomDict, )[0])), \\\n",
" estimated_instrument_profile.value)\n",
"\n",
" fit_flux[region_index]['flux'] = convolve.convolve_psf(VoigtAbsorption(co_add_from_subsample(fit_flux[region_index]['total'])), \\\n",
" estimated_instrument_profile.value)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 93
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pylab.rcParams['figure.figsize'] = 18, 10 # that's default image size for this interactive session\n",
"\n",
"region_index = 0\n",
"f, (ax1, ax2, ax3) = pylab.subplots(3, sharex=True, sharey=False)\n",
"ax1.plot(wavelengthList[region_index], (observed[region_index]['observed'] - fit_flux[region_index]['flux']) / onesigmaerror)\n",
"ax1.hlines(1.0, wavelengthList[region_index][0], wavelengthList[region_index][-1], color='red', linestyles='-')\n",
"ax1.hlines(0, wavelengthList[region_index][0], wavelengthList[region_index][-1], color='black') \n",
"ax1.hlines(-1.0, wavelengthList[region_index][0], wavelengthList[region_index][-1], color='red', linestyles='-')\n",
"ax2.plot(wavelengthList[region_index], observed[region_index]['observed'], label=\"Observed\")\n",
"ax2.plot(wavelengthList[region_index], fit_flux[region_index]['flux'], color='green', label=\"Fit\")\n",
"ax2.legend()\n",
"ax3.plot(wavelengthList[region_index], observed[region_index]['observed'], label=\"Observed\")\n",
"for component in range(1, true_components + 1):\n",
" if component == 1:\n",
" ax3.plot(wavelengthList[region_index], observed[region_index][component], color=\"red\", label=\"Actual\")\n",
" else:\n",
" ax3.plot(wavelengthList[region_index], observed[region_index][component], color=\"red\")\n",
"for fitcomponent in range(1, fit_components + 1):\n",
" if fitcomponent == 1:\n",
" ax3.plot(wavelengthList[region_index], fit_flux[region_index][fitcomponent], color=\"green\", label=\"Fit\", linewidth=1.5)\n",
" else:\n",
" ax3.plot(wavelengthList[region_index], fit_flux[region_index][fitcomponent], color=\"green\", linewidth=1.5)\n",
"ax3.set_ylim(0, 1.1)\n",
"ax3.legend()\n",
"f.subplots_adjust(hspace=0)\n",
"ax1.set_title(str(true_components) + \"/\" + str(fit_components) + \" true/fit; \" + \\\n",
" str(iterations)+ \"/\" + str(burn) + \"/\" + str(thin) + \" itr/brn/thn; time: \" + sampletime)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 101,
"text": [
"<matplotlib.text.Text at 0x1190d5f10>"
]
},
{
"output_type": "display_data",
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IkCF3CYJQD50OyMpqP5YMFgsf/MlBlgzhwWzmK7UkHhOEJ7S7ROuERIbmhUSG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Q8yuGEyqGCVmxKWzGZwYjLU1nqDDDKIERxMm011dd4+ul8/imUBd0yG7dv1m27qfOnE/uISlkFB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Xzpw5g+TkZIwbNw4nTpyAh0f5+MWcOXMu/D82NhaxsbH13T2R22gZEooCu/5BhqzCLIT6MchA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\nAElFTkSuQmCC\n"
}
],
"prompt_number": 101
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Creates multi-page pdf of plots\n",
"timestamp = datetime.datetime.now().strftime(\"%Y-%m-%d_%H.%M.%S\")\n",
"\n",
"pdf = PdfPages(timestamp + \".flux.pdf\")\n",
"for region_index in range(len(wavelengthList)):\n",
" f, (ax1, ax2, ax3) = pylab.subplots(3, sharex=True, sharey=False)\n",
" ax1.plot(wavelengthList[region_index], (observed[region_index]['observed'] - fit_flux[region_index]['flux']) / onesigmaerror)\n",
" ax1.hlines(1.0, wavelengthList[region_index][0], wavelengthList[region_index][-1], color='red', linestyles='-')\n",
" ax1.hlines(0, wavelengthList[region_index][0], wavelengthList[region_index][-1], color='black') \n",
" ax1.hlines(-1.0, wavelengthList[region_index][0], wavelengthList[region_index][-1], color='red', linestyles='-')\n",
" ax2.plot(wavelengthList[region_index], observed[region_index]['observed'], label=\"Observed\")\n",
" ax2.plot(wavelengthList[region_index], fit_flux[region_index]['flux'], color='green', label=\"Fit\")\n",
" #ax2.set_ylim(0, 1.1)\n",
" ax2.legend()\n",
" ax3.plot(wavelengthList[region_index], observed[region_index]['observed'], label=\"Observed\")\n",
" for component in range(1, true_components + 1):\n",
" if component == 1:\n",
" ax3.plot(wavelengthList[region_index], observed[region_index][component], color=\"red\", label=\"Actual\")\n",
" else:\n",
" ax3.plot(wavelengthList[region_index], observed[region_index][component], color=\"red\")\n",
" for fitcomponent in range(1, fit_components + 1):\n",
" if fitcomponent == 1:\n",
" ax3.plot(wavelengthList[region_index], fit_flux[region_index][fitcomponent], color=\"green\", label=\"Fit\", linewidth=1.5)\n",
" else:\n",
" ax3.plot(wavelengthList[region_index], fit_flux[region_index][fitcomponent], color=\"green\", linewidth=1.5)\n",
" ax3.set_ylim(0, 1.1)\n",
" ax3.legend()\n",
" f.subplots_adjust(hspace=0)\n",
" ax1.set_title(str(true_components) + \"/\" + str(fit_components) + \" true/fit; \" + \\\n",
" str(iterations)+ \"/\" + str(burn) + \"/\" + str(thin) + \" itr/brn/thn; \" + \\\n",
" str(round(instrument_profile, 3)) + \"/\" + str(round(estimated_instrument_profile.value, 3)) + \\\n",
" \" realIP/fitIP; time: \" + sampletime)\n",
" pdf.savefig()\n",
" pylab.close()\n",
"\n",
"pdf.close()\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 95
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create data, fort.13 files\n",
"#timestamp = datetime.datetime.now().strftime(\"%Y-%m-%d_%H.%M.%S\")\n",
"\n",
"for i, region in enumerate(wavelengthList):\n",
" np.savetxt(timestamp + \".\" + str(i) + \".ascii\", \\\n",
" (np.transpose([wavelengthList[i], observed[i]['observed'], np.ones_like(region) * onesigmaerror])))\n",
"\n",
"with open(timestamp + \".true.13\", 'w') as fh:\n",
" #header\n",
" print >>fh, \" *\"\n",
" for i, region in enumerate(wavelengthList):\n",
" print >>fh, timestamp + \".\" + str(i) + \".ascii 1 \", region[0] + wavelength_buffer/2.0, region[-1] - wavelength_buffer/2.0, \\\n",
" \"vfwhm=\" + str(round(estimated_instrument_profile.value, 2))\n",
" print >>fh, \" *\"\n",
" #body\n",
" for x in range(1, true_components + 1):\n",
" temp = profiles[x]['true_feature']\n",
" if x == 1:\n",
" print >>fh, temp[0], str(temp[3]), str(temp[1]) + \"aa\", temp[2], \" 0.00E+00QA 0.00 1.00E+00 0 ! \"\n",
" else:\n",
" print >>fh, temp[0], temp[3], temp[1], temp[2], \" 0.00E+00QA 0.00 1.00E+00 0 ! \"\n",
" \n",
"with open(timestamp + \".fit.13\", 'w') as fh:\n",
" #header\n",
" print >>fh, \" *\"\n",
" for i, region in enumerate(wavelengthList):\n",
" print >>fh, timestamp + \".\" + str(i) + \".ascii 1 \", region[0] + wavelength_buffer/2.0, region[-1] - wavelength_buffer/2.0, \\\n",
" \"vfwhm=\" + str(round(estimated_instrument_profile.value, 2))\n",
" print >>fh, \" *\"\n",
" for x in range(1, fit_components + 1):\n",
" if x == 1:\n",
" print >>fh, \"FeII\", estimated_variables[x]['fit_N'].value, \\\n",
" str(estimated_variables[x]['fit_z'].value) + \"aa\", \\\n",
" estimated_variables[x]['fit_b'].value, \" 0.00E+00QA 0.00 1.00E+00 0 ! \"\n",
" else:\n",
" print >>fh, \"FeII\", estimated_variables[x]['fit_N'].value, \\\n",
" estimated_variables[x]['fit_z'].value, \\\n",
" estimated_variables[x]['fit_b'].value, \" 0.00E+00QA 0.00 1.00E+00 0 ! \"\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 96
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Future Thoughts\n",
"-------------\n",
"\n",
"I'm at the stage where \"everything works\" -- basically. Although I have a number of thoughts and questions. \n",
"\n",
"When I scale up to about 30 blended clouds with the Gaussian example, it easily takes an hour to find an decent fit. The same is NOT true with the Voigt profile fitting I do later on. It will take ~24 hours to run 10000 iterations (which is a TON) and it probably needs an order of magnitude more iterations to even start to be rigorous. \n",
"\n",
"Any thoughts on how to speed up what I'm already doing -- please let me know! However, as this is my first implementation I suspect there are other approaches that I'm ignorant of that might suit the problem much more. \n",
"\n",
"\n",
"Other approaches\n",
"-------\n",
"\n",
"I'm very new to this game -- I've been looking around for other things that might be a fundamentally better approach. Among them: \n",
"\n",
" * [emcee](http://dan.iel.fm/emcee/) -- [Parallel-Tempering Ensemble MCMC](http://dan.iel.fm/emcee/user/pt/)\n",
" * [astroml](http://astroml.github.io/index.html) -- [Extreme Deconvolution](http://astroml.github.io/paper_figures/CIDU2012/fig_XD_example.html)\n",
" * [sci-kit learn](http://scikit-learn.org/dev/) -- [PCA decomposition](http://scikit-learn.org/dev/modules/decomposition.html)\n",
"\n",
"Anyone with any hints, suggestions or help please contact me!\n",
"\n",
"jbwhit@gmail.com\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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