{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Surface radiation field tools" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial we demonstrate usage of several tools for checking the implementation of a surface radiation field extension module." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the first part of this tutorial, you should install X-PSI with the default (blackbody) atmosphere extension module, which is compiled when installing X-PSI with default settings. Then run the full the tutorial **except the one code block under the title \"Isotropic blackbody\"** after re-installing X-PSI using the numerical atmosphere extension using the ``NumHot`` and ``NumElse`` options and re-starting the IPython kernel.\n", "\n", "The required atmosphere data files are needed and they can be found in the [Zenodo](https://zenodo.org/record/7094144)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import warnings\n", "warnings.filterwarnings(action='ignore')\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/=============================================\\\n", "| X-PSI: X-ray Pulse Simulation and Inference |\n", "|---------------------------------------------|\n", "| Version: 1.0.0 |\n", "|---------------------------------------------|\n", "| https://xpsi-group.github.io/xpsi |\n", "\\=============================================/\n", "\n", "Imported GetDist version: 0.3.1\n", "Imported nestcheck version: 0.2.0\n" ] } ], "source": [ "import xpsi" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "plt.rc('font', size=20.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate the specific intensity directly from local variables" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# keV (local comoving frame)\n", "E = np.logspace(-2.0, 0.5, 1000, base=10.0)\n", "\n", "# cos(angle to local surface normal in comoving frame)\n", "mu = np.ones(1000) * 0.5\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[6.11, 13.8]]*1000)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [], "source": [ "xpsi.surface_radiation_field?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "xpsi.surface_radiation_field.intensity?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Isotropic blackbody" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the following cell, make sure you have installed X-PSI with default settings." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "\n", "BB_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars, # NB: isotropic blackbody\n", " extension='elsewhere', numTHREADS=2)\n", "\n", "plt.plot(E, BB_I, 'k-', lw=2.0)\n", "\n", "# write it to disk so accessible upon IPython kernel restart (see below)\n", "np.savetxt('./blackbody_spectrum_cache.txt', BB_I)\n", "\n", "ax = plt.gca()\n", "ax.set_yscale('log')\n", "ax.set_xscale('log')\n", "ax.set_ylabel('Photon specific intensity')\n", "_ = ax.set_xlabel('Energy [keV]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Numerical atmosphere" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check out a numerical atmosphere (this code you typically find in a custom photosphere class). The numerical atmospheres loaded here were generated by the NSX atmosphere code ([Ho, W.C.G & Lai, D. 2001](https://ui.adsabs.harvard.edu/abs/2001MNRAS.327.1081H/abstract); [Ho, W.C.G & Heinke, C.O. 2009](https://ui.adsabs.harvard.edu/link_gateway/2009Natur.462...71H/doi:10.1038/nature08525)), courtesy of W.C.G. Ho for NICER modeling efforts. One of these atmospheres (fully-ionized hydrogen; Ho & Lai 2001) was used in [Riley et al. (2019)](applications.rst#riley-et-al-2019-apjl-887-l21); also see Bogdanov et al. (2020) and Riley et al. (2021). For this tutorial we need the data files `nsx_H_v171019.out` and `nsx_He_v170925.out` that can be found in [Zenodo](https://zenodo.org/record/7094145). The repository includes also a fully-ionized hydrogen data file with an extended surface gravity grid (`nsx_H_v200804.out`), which was used in Riley et al. 2021, but not in this tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reinstall X-PSI with the appropriate flags as such: `CC=gcc python setup.py install --NumHot --NumElse` (see also [Installation](install.rst)). These flags ensure `hot.pyx` is replaced with `archive/hot/numerical.pyx`, and `elsewhere.pyx` is replaced by `archive/elsewhere/numerical.pyx`. Next, restart your IPython kernel, **and run all cells above, apart from [7]**." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def preload(path, size):\n", " NSX = np.loadtxt(path, dtype=np.double)\n", " logT = np.zeros(size[0])\n", " logg = np.zeros(size[1])\n", " _mu = np.zeros(size[2]) # use underscore to bypass errors with the other mu array\n", " logE = np.zeros(size[3])\n", "\n", " reorder_buf = np.zeros(size)\n", "\n", " index = 0\n", " for i in range(reorder_buf.shape[0]):\n", " for j in range(reorder_buf.shape[1]):\n", " for k in range(reorder_buf.shape[3]):\n", " for l in range(reorder_buf.shape[2]):\n", " logT[i] = NSX[index,3]\n", " logg[j] = NSX[index,4]\n", " logE[k] = NSX[index,0]\n", " _mu[reorder_buf.shape[2] - l - 1] = NSX[index,1]\n", " reorder_buf[i,j,reorder_buf.shape[2] - l - 1,k] = 10.0**(NSX[index,2])\n", " index += 1\n", "\n", " buf = np.zeros(np.prod(reorder_buf.shape))\n", "\n", " bufdex = 0\n", " for i in range(reorder_buf.shape[0]):\n", " for j in range(reorder_buf.shape[1]):\n", " for k in range(reorder_buf.shape[2]):\n", " for l in range(reorder_buf.shape[3]):\n", " buf[bufdex] = reorder_buf[i,j,k,l]; bufdex += 1\n", "\n", " atmosphere = (logT, logg, _mu, logE, buf)\n", " \n", " return atmosphere" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "H_fully = preload('../../examples/examples_modeling_tutorial/model_data/nsx_H_v171019.out',\n", " size=(35, 11, 67, 166))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "He_fully = preload('../../examples/examples_modeling_tutorial/model_data/nsx_He_v170925.out',\n", " size=(29, 11, 67, 166))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "\n", "BB_I = np.loadtxt('./blackbody_spectrum_cache.txt')\n", "plt.plot(E, BB_I, 'k--', lw=1.0)\n", "\n", "hot_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=H_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "plt.plot(E, hot_I, 'b-', lw=2.0)\n", "\n", "elsewhere_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=H_fully,\n", " extension='elsewhere',\n", " numTHREADS=2)\n", "\n", "plt.plot(E, elsewhere_I, 'r-', lw=1.0)\n", "\n", "He_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=He_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "plt.plot(E, He_fully_I, 'k-.', lw=1.0)\n", "\n", "ax = plt.gca()\n", "ax.set_yscale('log')\n", "ax.set_ylim([9.0e25,4.0e29])\n", "ax.set_xscale('log')\n", "ax.set_ylabel('Photon specific intensity')\n", "_ = ax.set_xlabel('Energy [keV]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This behaviour is typical for an isotropic blackbody radiation field with temperature $T$ in comparison to a radiation field emergent from a (non-magnetic, fully-ionized) geometrically-thin H/He atmosphere with effective temperature $T$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the angular dependence:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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22dMeMrqc1vUQdKtvGYD6xkY4lTENvf39/0VEfm1se2NcyFfG3ScbmxpcKeVhTMdu9yv0mlZeOLVuae3tO0EvrnwmQ6G7NJlwappyIqIOw5hsZZNx93mlVINj7pRSPkZPm7O1BzohVDjViOkIe9yeWU+dFE4tIeVUxlIeP0PHgU+hGxnzASxvgcPZ45Yn9NrKpzGW63jUuLtORFo8YVJK3QngT9AzqV9pX2qmEb8ByID+fb1whn3XvXr9X+P2ovrW4VRK9cTZLUlnb2DY0MDQGmrHmFSSMyUat81plfweek3ECAAfK6UiAX3lTim1EMDj0C1cLcE+TfkI6MCxQ0SSW+hYj0LP0DYUwOdKqa6AXgtLKfU3AA8b2y1upAuqUyilwqHHY3hDL51S36LH9XkYuntwXwAblFLT7F94lNZHKbUA+iriyYYGESnHqSnZH1NKLVBK+RivizPqcjZdvWoHp/qWZSEi6gjugU4cxgP4TSk11t4YqZRyV0oNUkr9A8ARNGF5JaMLqb0xuDlx+wvj9jKl1EP2payM8/kyNC9hPRN7Y+gY4/YTEbE4+yBG3HrGuHuPUmqhvbHUuOq3DMBY6Lj+d2cfvy5j3Uj7mpPzRWRTY9sDgPF7uQu6p9T1SqlvlVInx+kqpTyVUsOUUs9Dj1et/dpEACuNu18qpS6v9RkcA2AF9Gf0TOyfM2fOzEttBJNKcqb/Qp+sxte5MnXWjKt49oRqNoA8pVQRdPKyCMCTAFok0RORui2cLdGFxn6sDQD+DB2AZgM4ppQqhG41fhq65fhTAItbqg61xONUt6X/a2yqcaWUfapxGIs3T4OeDS4eusW43Jj9zgy98PJLAHrhVHdfu+egZ5h1N7YpNf7OR6HXsZyHM7NfTT6btbGIiNolEdkCvfZiCYBxANYBqDDOtZUAdgF4AkA0fn+uPRP7+fOyRrdqvH4/A/gaOm4txunn8xkArnN032fhRwA5te63WNyGniX+Y+j3uQhAsRG3M3Bq3ea7nbyUSUOmQHe1FQDPnWGJkJNEZDmAW6Eb0GcC2KGUqlBKFUB/lrZAX4mtbxzsTQAOQTf6fw+gTCllgr6gEIwz9DAyGo8nGXX+orFtqX1iUklOYyQZv0HPQPa7bjBN2M/r0N0oNgGogP6crofu3vFk82vaqK+N2yropK7FiMg/oVvtPoMOiv7QXxpWApgtInNdcAUuDI0v0H3aLHnGl53zoLs3bYDurhsM/XfbCuB1ABNEZE2d11kBXAXdAr8LenxmDfQXhAki8jUaYcx2NxG66yuDExF1aEbi1hc6mdkOHaOCobtkboBO5i4UkfQm7vpL6Lgzxt5jxkHXQy8/dQD6fG6BHiIx6kzDKZrDiCXfG3e3iEhKCx6rRkRuAnA1dHfYYui4nQN9pXKEiLzdUsdvgH1Zr8bKaURkKYB+0Fc690DH3kDo2VgTADxmPF/3dTnQ31leBpAO3ShcAj1MaCiAw2eo62UAAgAkiMiRJr1LaheU7v1A5BxKqauhr1j+KCKXu7o+TaWU+hf07Gn/EZGWbF2lZlBK3Q2dsL4nIvNdXR8iovZKKfUmgDuhx9OfaZ3lNkcplQqgD4D/JyLvuro+VD+l1FcAZgGYIyLLXF0fcj4mleRURh/7HQAGARgoIvtcXKWzZsy4mgnd8jhFRFa5uEpUD2NChFQAXQD0c6BlnoiIDMYVyoPQk9z0aokxiS1FKTUFes3KcgCdW3oOAnKMUqo39PwKBwAM4iQ9HRO7v5JTGSeKh6G7ZCx0cXXOmjHj6MvQCeUuJpRt2hwAPQG8y4SSiKh5RCQTuudHN+hxc+2CMcmcfRbTJUwo27RHoLvLLmRC2XF5nHkToqYRkZ+NWT/9lFIexpiHNsnorvsigHAAftADyM9mOQtyHYGelOItV1eEiKiDWAw9UUubjdd2SqkXAVwDPTGRJ/Qa2YtcWilqkNGD7TB09+pvXV0fajns/krnNKXUzdALKFcB2AvgSZ70iIiI2ial1IfQV1RLoSf0e1BEdjf6IiJqcUwqiYiIiIiIyGEcU0lEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSURERERERA5jUklEREREREQOY1JJREREREREDmNSSeQApVRXpdQSpVS2UqpKKZWmlHpVKRVSz7aRSqlPlVIFxnYLlVLurqg3ERFRR8XYTOQ6SkRcXQeidkUp1QvABgCRAL4DsB/ACACTABwAMEZECoxtFYB1APoB+BRACIDrATwjIo+3euWJiIg6IMZmItdiUknUREqpXwBcAuAeEXmj1uMvA7gfwD9F5A7jsb7Qwex8EdltPHYPgL+KSNdWrzwREVEHxNhM5Frs/krUBEZL6CUA0gC8VefpxwCUA7hBKeVnPGbvSlNTaztrrceJiIioGRibiVyPSSVR00wybn8VEVvtJ0TEBGA9AF8Ao4yHDwDYBmCVUuoVpdQSAC8D+KiV6ktERNTRMTYTuRiTSqKm6Wfcpjbw/EHjti8AGMFtJvTYjZsBXAzgeQCPtlwViYiIzimMzUQu5uHqChC1M0HGbUkDz9sfD7Y/ICJZAGa3ZKWIiIjOYYzNRC7GK5VERERERETkMCaVRE1jb+0MauB5++PFrVAXIiIiYmwmcjkmlURNc8C47dvA832M24bGdRAREZFzMTYTuRjXqSRqAmPa8kPQ05b3qj3LnFIqAEAOAAUgUkTKXVJJIiKicwhjM5Hr8UolUROIyGEAvwKIA3BnnaefAOAH4N8MWkRERK2DsZnI9XilkqiJjBbRDQAiAXwHYB+AkdDrZKUCGC0iBa6rIRER0bmFsZnItZhUEjlAKdUNwJMApgEIg+5a8w2AJ0SkyJV1IyIiOhcxNhO5DpNKIiIiIiIichjHVBIREREREZHDmFQSERERERGRw5hUEhERERERkcOYVBIREREREZHDmFQSERERERGRw5hUEhERERERkcM8XF0BorZMKdUJQIBR/Gv9HADA39PTM9DT07OTm5ubu1LK3X4LQGw2m1VEamw2W43FYqmurq4uA2ACYL811blvFq7xQ0RE1Kg6sfl38dnT0zPAgdjcUHxmbCY6C1ynks45SilvADEAOgOI8fLy6hYSEtK7U6dOcTU1NV1qampCPTw8PN3d3d29vLzg7+8vgYGBCAoKUkFBQW7BwcEeISEhnkFBQZ0CAwM9PDw84O7uDjc3N7i5uUEphQMHDqB3796w2Wyw2WywWq0oLy+3FRcXVxUXF1uKi4utxcXFNSUlJVJaWgqTyaTMZjNqampqLBZLjZubW4m7u3t2TU3NsdLS0kNlZWXpALKhF3LOFhGTK3+HREREzqSU8oGOzTEAOnt7e3cNCQnp6+Hh0d1ms3W2Wq1hnp6eHvbYHBAQIAEBAQgKClLBwcFuQUFBHiEhIZ7BwcFeAQEB7k2JzUVFRVUlJSV1Y7OYTCY3s9kMq9Vqs1qtVjc3txIPD49sq9WaXlpaerisrCwNRlwGkMPYTOcyJpXUISmlfAH0BtAvNDT0An9//6EWi6WPm5tbgL+/v1vnzp0lNjbWo0ePHj6xsbE+nTt3RkxMDDp37ozQ0FC4uTWvZ3hCQgImTpzo0GtFBKWlpcjOzkZOTg5ycnJw7NixqvT09Iq0tDRLVlYWSkpKYLFYKj09PY9aLJadubm52wCkAjggIsXNqjwREVELUEr5QcfmvmFhYYN9fX2HWiyWPu7u7v722BwXF+fRvXt3n+7du/vExMS02dicnZ2NjIyMqrS0tIr09HRLZmYmSktLT8bm6urq5Ly8PHtsTmVspo6OSSW1a0byONjX13dEWFjYKJvNNsBms4UHBgZ69O/fHxdccIH/wIEDffr164fevXvD19e3VerVnMB1tiwWC44ePYrU1FTs3bu3Ojk52bRnz56agoICsdlsJR4eHgdKS0u3lJSUbAKwTUQKW7RCREREOJk81o7N/W02W0RQUJB7//791QUXXOA3cOBAn759+3a42FxdXX0yNu/bt68qOTnZlJKSIoWFhTX1xObtjM3UUTCppHajVgI5MiwsbKrFYokPDAz0GTFihNu4ceOC4+Pj3fv27Yvw8HBXV7VVAldjTCYTDh48iH379mHDhg3FiYmJ1cePH6/x9PQ8aDKZVhcXF68HE00iImomewLp5+c3KjQ0dIoRm71HjhzpNm7cuJD4+Hi3vn37IiwszNVVbTOxee/evbJ+/fqS9evXW/Lz8y11YjMTTWqXmFRSm6SUUgD6+fj4TA0PD59eO4EcP3588LBhw9wHDhyITp06ubqq9XJ14KqPzWbDoUOHsG3bNiQmJp5MND08PA6aTKb/lZSU/AIdzKyurisREbU9Rmw+r05s9h45cqTb+PHjQ4YNG+Y2cOBAeHp6urqq9WqrsfngwYPYunWrJCYmnkw0jdi80ojNyYzN1NYxqaQ2wQhUfb29vaeEh4fPslqt8fHx8W4zZswIHjt2rGdbTiDr0xYDV33siebGjRttP/74Y+GmTZtsNpstvaysbHlJSckKMJAREZ2z7A28tWLzwEGDBp0Wm9tqAlmf9hSbDx48iI0bN9p++OGHws2bN9tEJM1kMn1XWlpqTzJrXF1PotqYVJJLGIGqt5eX19SIiIhZVqt10IABA9SMGTNCpkyZ4jlgwIBmD8h3pfYSuOqTnp6OhIQE2/LlywuTkpLsgWx5aWmpPclkICMi6oCM2NzH29t7qr2Bd+DAgW4zZswItsdmvUn71J5jc1paGlavXl3z/fffFyUlJQmAIyaT6dvS0tJfoWOzzdV1pHMbk0pqNUopDwBjoqOj/whger9+/TrNnDkzeOrUqZ0GDhzYrpPIutpz4KrLHsiWL19etHnzZpubm9vGrKyspQD+JyLlrq4fERE5zojNY6Ojo28QkUv79+/vaY/N7b2Bt66OEptFpG5srnF3d9+QlZX1IXRsrnBxFekcxKSSWpRSKlApdWmXLl3m2Wy2CydPnuw+Z86c0EmTJsHb29vV1WsxHSVw1WWz2ZCUlIQvvvjC9O2335qrq6uPFhQUfGg2m78TkWxX14+IiM5MKRXk7u4+PSYm5mabzTZ06tSpHtdff33IxIkTGZvboZqaGmzevBlffPFF6XfffVdlsVgO14rNua6uH50bmFSS0ymluvr5+V0dFBR0o5+fX9dZs2b5zJ4923/o0KFtvttMcbEFO7Zl4sCmI8jaV4T8jCqUHAfKS91grvBEZZU3LFYvWMUDNeIJq3SCVTxhhb61wAt56IwwHIcXKuGJanioangoCzxggYdbNdyVBZ7u1fDqVAUf32r4BtgQGCaI6OqB6D5B6DOqB4YMj0V0tA/a+K8Lhw8fxrffflv16aeflubm5pZUVVV9UVhY+DmAFOHJhYiozVBKxfr7+18dGBh4o5+fX+fZs2f7XH311f6DBw9u07FZBMjNrcbunTk4vCMD2XuOoyC9AsXHbag0uaGyshPMVd6w1HSCxdYJNeIBi3TS8Rmd9M/ohFx0QTjydGxW1fBANTyVEZONOK1jsxk+PtXw8a9BYLhCWKwPYs4LQ4+hsYi/IAaxsb5wd3f1b6Vxhw4dwjfffFP12Weflebl5RUbsXmZiOxxdd2o42JSSU6hlAoe8zHzAAAgAElEQVT29va+NiQk5K6oqKioW265JfiKK67wjI2NdXXVTrJaa3D0aCXWrs3D9qTjOLazGAXpCoUlwSiuikSJLRKAG6KQh3AcR7B7PgI9ihDgXQpfPwt8AwUBYR7wC+kE7wBPePl6opOfJ3wCveDj3wm+wb7wCfLB8WMlyCvNRJ+43qgoroDZVAWzqRrmsmpUlVtQVWFFeXE1TCcsqCgBKsvcYTIHoLQ6GMW2cBRKJPIQhSp4IVDlI8jzOEICCxDWxYKugwJx/vBIjB0bhQED/ODt3XYmSCgqKsJPP/1k+/DDDwt2795dXl1d/WFRUdESEclwdd2IiM5FSqkQX1/f64KCgu6MiYmJnDdvXvCMGTM8u3Xr5uqqnWS11iAtrRLr1uVh09ocHNtlQmG2G0pKAlFSFYlCW2d4w4woHEco8hHoXgh/z2L4+1TAx9cC3wAb/EPd4RPkCW8/D3j7e8LLzxM+gZ3gHeANvyBv+IX64XhaMY6XZqBXXB9UFFegsrQKlaZqVJVVo7LMgqpyCypKrSgvsqK81A2V5R4or/BBWXUQTDWhKEI48hAJEwIRrHIR3Ok4AgOKERptQUx/XwwfH43x42PQr58vvLzaTmwuLCzETz/9ZFu6dGnB3r17y81m85Li4uKlIpLp6rpRx8KkkhymlPJyc3P7Q0xMzL1eXl4DbrnlFv8bb7zRx5WJpIigstKMPXsqsHZtAdavL8ShXRYU5gShoLI7PKUafZCKfjiCSM9shIaWIibWhh7xgegxvBu6XjQIXn37AM1ciLlZXWyqq1GTloacpN1I23wUR3cWIuOooOCEPwrN0UhFD6SiN0oQjjCvdIREFCJ2gMLIUYGYMCESQ4f6ISjI16Utz8XFxfjvf/9rfeedd4pyc3PzSkpK3qqoqPhcRIpdVikionOAEZsvi46Ovs/X1/e8efPm+d9www0+Xbt2dVmd7LF5375yJCQUYk1CEQ6n2FB0PAiFld3gJWb0RioG4CAivbIREmRCZDeg28BA9BsXh9hxQ+HRvTvQzK65zYrNFgts2dnI3ZyMfQmHcGxnIXLTalBY5I/CykjsR28cQF+UIhQhXlkICS9Et/NsGDM2CJMnh2PwYD8EBLg2NhcVFZ2MzXl5ebnFxcVvVFZWfiEiJS6rFHUYTCqpSZRSbgDGxsTE3KWUmnjVVVd53XbbbYHnn39+q9fFZrOhuNiEbdvKkZBQgrVry3DogB8KC7rCW0rRGykYrg5goNsBxHQrx3nD/dFr6mD4DB8OnHdes4NTY1ps3IbVChw+jOodO5C1Kgl71hcg44gXjlT1wGb0xz4ZgGLVFcFBmYjtWYqLLvLC5MkhuOgiX0REBMLDw8P5dTqDjIwM/Pvf/6784IMPys1m897c3NxXbTbbTyJS1eqVISLqgIzYPC4mJuZupdT42bNne916662BgwYNavW62Gw2lJSYsH17GVauNCEhoRxpR/xRWNAZ3mJCH+zCGLUbg9z3IbpLOXoMDUD3qRciYMwYHZtbcPmwFovNNhtw+DAqN21C1soNOJxUiKx0bxys6oV1OB975XyYVDSCgrPRrXspLrqoEy69NAijRvkhLMw1sfnYsWP4+OOPK5cuXVpWVVW1Jycn51WbzfaziFS3emWoQ2BSSWdFKRUZGhp6p6en520TJkzwvuOOO0LHjx8P91YaWCAiKC8vR0ZGIdaurcLKlRXYts0LmZld4S3H0UO2YnKnvbjYshn94ooQPfl8+E2aBDVqFBAXh9YenNjqkwHk5QFbtqByzRrk/28TDqe4Y43HcKy0xGOfDEEpeiMiMgfnn1+GqVN9MGGCJ/r2DUFgYGCrzuy3a9cufPDBB6VffvllVU1Nzfd5eXnPi8iBVqsAEVEHopSKCg0NvdvT0/OWSZMmed9xxx2h48aNa7XzuoigrKwMR48WISHBgt9+K8fOnd7IzuqMTlKAXrIJl3TahamWLejd+QQiJgxEwKWXQo0Zc27E5txcYONGlP36KwpWbUH6YR+s8RyGny2DsVdGoAxxiIzKQXx8GSZN8sGkSZ1w3nlBrRqbRaR2bDbbbLbv8/LynhORg61SAeowmFRSg4z1qkbHxMT83d/ff9iCBQsCb7jhhk5+fn4tfuyamhqUlJQgM7MQq1ZZsXIlsGNHAI4fD4O32y7Eq4241i8Z15SvRGi/UHhPmwY1eTIwZgwQENDi9TsTl88wV10NbN0KWbUK5l9+gXnLPvzgOwmfVg3D5qphKMMoBASWIz6+CJMn23DppR7o1SsIISEhrbKQtdVqxY8//mhbvHhxQXp6emZ+fv4iq9W6XESsLX5wIqJ2zIjNYzt37vyov7//4AcffDB4zpw5nq0Vm4uLi3H0aDFWr7Zi7Vpg27YAHD8eDF+1FYPdN+MqvxRcVb4aob0C4H3ZZXCbOhW46CLGZgCoqgK2bYP89hvMP/yAiuQj+MFvAr6sGoz1VUNgUuMQGGjGBRcUY/x4weTJ7jjvvMBWjc3ff/+9bfHixQUZGRnHjNj8A2MznQ0mlfQ7Sil/f3//m/z8/BaMGjUq6KGHHgobNWpUi44DEBGUlpYiNzcf69dXYP16X6xf74sjR0Lh4b4L3fArborch5usmxBVWQT3yy+Huuwy4NJLgeDgFquXo1weuOoym4E1a4Aff4T1u+9QUVaJLwJH44OCeOysGgerjENUlAkXXVSO0aPLMWlSJ3TtGo6QkJAWby09ePAgXn311dKvv/66wmKxfFhQUPC6iOS06EGJiNoZpVSAv7//zX5+fvePHj068KGHHgobMWJEq8XmNWsqsGaNPxIT/ZGTE4hOnbYj2vob5kXtwzzLBkRYyuE+cyYwbRowaRIQFtZi9XJUm4vN5eXAunXAr7+i5ptvUG6qwGeBY/BeXn8ckPGw1oxBUFA1Ro8uxfjxZZgyxbPVYnNqaipeeeWVkm+++abCYrEsKSwsfENE8lr0oNSuMamkk5RS/aOjox/28PCYPn/+fL/58+f7RkREtNjxzGYzjh8/joyME/jtNw9s3BiBxMQgKFWAqqofMTZyJx6JScX49BR4RkZCzZgBXH45MGIE2vp83m0ucNUmAuzfD/zwA/DDD6hJTkZKnwF4sXQA/pvWB14+M1BV1QtDh5Zg3LhCTJxYhr59QxAVFQV/f/8Wq1ZlZSWWLVtmffHFF4tKSkp2ZWdnPwVgLZcmIaJzmVJqYHR09MOenp6X3nHHHf633367T3h4eIsdz2w2Iy8vDwcPFmL1ai8kJYVj48YAeHgch9n8DSbFJONv0Ucx8vA+eEZE6Ng8c6aOza04nMIRbT4279sHfPcdZPly2Pbuxb5+/fFSWS98frgvfPxmo6KiF4YMMWHkyAJMmlSB+PjAFo/NFRUV+PTTTy0vvfRSiclk2mHE5kTGZqqLSSVBKTUmJibmhe7du/dZuHBh2PTp01VLjJUUEZhMJuTm5uLAgUJs2BCGDRsikZTkA3///TCZPsFVg4/hr2EmDExJgYe3N3DddcC11wIDBji9Pi2pTQeuurKzgS+/BD7/HLbUVKQPHYoPrIF4ZXM4fHyuQ3n5RejXrxrjxxdi5MhcDB7sj5iYGISEhLRYC/mWLVvw3HPPFSYmJhYWFhb+3WKxfCkiNS1yMCKiNkgpNS46OvqFnj179lq4cGHYtGnTVEtcnaodm/ftK0RiYgTWrYvAzp1eCArageLiz3DF+Vl4MMKMwXv36kll5swBrr9eT6zTjrS72Pyf/wCffQbbsWM4OGQI3q3wxj+3hMA/4FqUl49HXJwNEycWYvToHAwZEoDo6OgWi80igqSkJCxevLhw48aNBUVFRQurq6u/EhGb0w9G7RKTynOUUkq5ublNi4yMfH7IkCExTz/9dNiQIUOcfhwRQWFhIXJycpCWVoSkpC5YtSoaO3Z4ICRkKwoLl2DKqCI83CMYI1NS4JGRAdxwgw5WF1zQ6oP4naVdBa7a0tN1EPvoI9iqq7F/zBi8XlKFT1bWIDBwLsrLp6BbN3dcfHEBRo1KQ9++voiOjkZkZGSLTNqUmZmJRYsWlXz77bel5eXli8rKyj7kzHRE1FEZsfkPERERzw0fPjzm6aefDm2J2dVrx+YDB0qwaVMXrF0bhZQUd4SFJeHEiX9i2vgK/CUuAsOTk+GRnq4beefMAYYNY2xubampwLJlwKefwubujv1jxuCN0kr8+6dyBAffitLSqejaVWHSpEKMHJmOQYO8ERMTg4iIiBaJzceOHcOiRYtKli9fXmIymRZVVFR8xNhMTCrPMUopdy8vr2uCg4OfmjJlSujjjz8e0qdPH6ceQ0RQUlKCrKwsZGaewK5dsUhIiMHatZ6IitqL/PzXMWDAEfx16mhMP3YM3suXA+PHA7fdBkyfDrhgam1na7eBy04E2LwZeP994KuvUDN2LDaffz5eSNmHlb9ZER29AMePj0F8PDB1aj4uvPAwYmP90aVLF4SHhzt9rMeJEyfw8ssvly9durTUbDa/Vlxc/KaIlDv1IERELqKU8vDy8ro2ODj4yalTp4Y+/vjjwb1793bqMUQExcXFyMrKQkZGAZKTu2Plyhhs3eqO6OityMl5HUOGnMC9E0fhsqwseH/7LTBqFHD77cBllzE2twUiegzmv/4FfP89rJdcgsT+/fFa8m78+r9KdO58DwoKJqNnTzdMm5aPYcMOo3v3lovN+fn5eOGFF8o+/vhjk9lsfrWkpOQtxuZzF5PKc4RSyisgIOBWHx+fR66++urAv/3tb4FdunRx6jFKS0uRlZWFvLw85OVFYOXKOHzzjQ/Cw7NgNi+B1foF5t04A3+OiUHMF18AGRnA/PnAzTcDnTs7tS6u1u4DV20mk756+c47QGkpTLfcgo/d3PDup18iL28IIiLuRWbmAFx8sQWXXpqJnj2PITw8FF26dEFYWJhTu+GUlZXh7bffNr/22mulVVVVHxYUFDwnIoVOOwARUStSSnn7+/vf5ufn99A111wT+MgjjwTGxMQ49Rj22JyTk4eDB2OwenU3rFjhjS5dMlFe/i5EvsH82+bg9uhohH/8MZCWpht5580DunVzal1crUPF5qIi4JNPgPfeA6xWlN9+Oz51c8PbS/+N3NxBiIx8EOnp/TFmjBVTp2YjPj4N0dE6NoeGhjo1NpeWluLNN9+sfPPNN03V1dVLCgoKnheRIqcdgNoFJpUdnFLKMyAgYL6fn9/f5s2bF7hgwQK/MCfOyGaxWIxWzwxYLD7YsqUXvvoqGOnpVnTr9itSU/+G6dPPw/xrr8XEgwfh9vbbQGwscN99emB/B2j5rE+HClx2IsCGDcCrrwKrVgE33YQ9U6bg3RUr8MknPyE29mGUlV0HEX9cd10FJkw4Ci+vE4iJiUFsbCx8fHycVpWqqip8+OGH1c8++2xJRUXFsvz8/H+ISInTDkBE1IKUUp6BgYF/9vX1ffhPf/pTwP333+8XEhLitP1bLBZkZmYiIyMDlZV+WL++N5YtCwRgRkjIdzhw4HFccskg3PHHP2JSWhrcXn8diI4G7r8fuPJKxub2RARISABeeQXYtAly++3YNXYs3v7mG3zxxQrExT0Im+2PyMsLwTXXVOCSS9Lg75+Pzp07o1u3bk6NzWazGUuWLKlevHhxSWVl5b9PnDjxhIiUOu0A1KYxqeyglFJuRjfX52+66aaQhQsX+gcGBjpl3yKCEydO4NixYzCZTCgr64mvvuqMb791R9++WaioeAMFBZ9h/vzbcMdVVyHqs8+Af/4T+MMfdDJ54YVOqUdb1iEDV23p6cBbbwEffAD83/+h/J578O+kJLz55lsoLz8PXbo8hj17BmLMGMF1151AXNxBuLu7ITY2FtHR0U4b42G1WvH+++9XL1q0qLiysvL1wsLCl0TE7JSdExE5mVLKzcfH5/qAgIDFt956a8gjjzziF+Ck9Rtrx+bSUhNyc3vju+9isGKFG4YMOYaiomdRUPAT7rrrTtwycyYily3T5/EpU3QyOWqUU+rRlnX42JyaCrz2mh5/ec01KL/7bizbuBFvvPEGysu7IS7uGezcOQgXXiiYNesE+vZNhZeXO7p3746oqCinxWaLxYJ//etfVU8//XRJRUXFy8XFxa+KSJVTdk5tFpPKDsjd3X1qRETEW5dddlnUM888ExQVFeWU/VZXVyM9PR1ZWVkICAjGnj29sGSJP1JTBUOHbsbOnXcjLs4Hd999N64cMQKer70GfPSRnr31r38FevRwSj3agw4fuOyKioA33wTeeAOYOBHyyCNYq7vBYNWqzRg58hWkpc0A4Inbbzdj7NijMJlyERERgR49esBZi3VXVlbi5ZdfrnjjjTdKysvLHy8rK1vCxZqJqK0wJuC5JDw8/M2ZM2dGLFq0KCgyMtIp+66qqjoZm319Q5GU1AvvveeH6mob+vdfi+3b70fXrr647777MGv8eHi8/rpu6L3ySuCRR4BevZxSj/bgnInN+fn6yuU//wlccQXkkUeQkJGBV155BRs3JuOii15CTs4M5OZ64U9/qsLUqUdQVeX82FxRUYGXXnqp4q233iouKyv7R3l5+Yecyb0DExGWDlIADIuOjt46c+bMwsOHD4uzFBcXy/bt22X16tWyc+dRef55q3TvLjJ8eLVcddV/JTw8Rq688krZtGmTyPHjIvfeKxISInL//SKZmU6rR3uyevVqV1ehdZlMIi++KBITIzJrlsjevXL48GH585//LEFBwXL55S/K1KkmCQsTWbDAJklJOZKYmCgbN26U3NxcsdlsTqlGYWGh3H///aVRUVFHO3XqNAtGwxkLCwuLqwqAkVFRUTuuvPLKwqNHj4qzFBUVybZt2yQhIUG2bEmXf/zDKlFRIlOmmOX66z+QkJBQuf7663VsLiwUeeghkdBQkTvuEElLc1o92pNzLjYXFIj84x8iYWEiN90kkpYmqampcvfdd0tISIjMnPm4XHFFqQQHi9x5p00SE3MlMTFRNm3aJHl5eU6LzQUFBXLPPffYY/MVjM0ds7TtVWrprCil+sTExPxv7NixK1asWHHht99+G9KzZ89m7dNmsyErKwuJiYnYv38/fHy64bffJmDy5Dhs2GDB6NGv4NChKAQHr0Bi4mp8/dFHGLlihV6zqqZGL+D78suAkycDojbK3x944AHg8GHdhWr8ePR8+mm89fDDSE09gMGDi5Gc3AMjR96FgoJCXHppNJYsGYNOneKRm5uLNWvW4PDhw7BYLM2qRkhICF5++eWA7du3x1177bUfREVF7VFKTXDSuyQiOmtKqX4xMTGrJ0yY8OPKlSsHf/311yFxcXHN2qfNZkNmZiYSExORmpoKiyUOn3wyHhdfHIvDh6swffoL2L49BoGBSdi+fRs+W7IEI9etA/r1AwoLgZ079aRr3bs7501S2xYaCjzxhI7N3bsDQ4eiz7vv4vXHHsPBgwdxwQU2rFvXA1Om3AuLpQBXXBGFF18cg5KSgcjOzsaaNWtw5MiRZsfm0NBQvPbaawFbt26Nu/rqq5dERUXtVkqNc9K7pLbC1Vkti+MFgH9kZOTb/fv3P7FmzRpxBovFIocOHZJVq1ZJSkqKpKZWyH336QuPN95YKbff/ryEhITI3XffLZmZmSLV1SKvvSYSFSUyd66IE6+QtmfnXGtoXUVFIn/7m24Vf+ABkcJCMZlM8txzz0lERIRcffV8ufvuExIeLnLNNSJJSdWnfe4qKyudUo3U1FS5+OKLC6KiolYC6Cpt4P+WhYWlYxcAAZGRke8OHDjwxLp168QZqqur5eDBg7Jq1SrZs2ePbN1aIXPmiISHiyxYUCK33vqwhISEyD333CMZGRkiVqvI0qUi3bqJXHGFyN69TqlHe3fOx+acHJH/9//0lctnnhEpL5fi4mJZtGiRREREyKxZN8jChVnSvbvIlCki//vf6Z87Z8Xmffv2yeTJkwuioqJWAOgibeD/lsUJ5z5XV4DFgT8aoPz8/K6Pjo7Ofvvtt81Wq1Way2w2y759+2TVqlVy8OBBOXy4Wm6/XSeTd91VKffd97yEhobK/Pnz5dixY/pFv/4q0r+/yCWXiOzc2ew6dCTnfOCyy84Wuf123ejwr3+JWK1SWloqTz31lISFhcncuXfIwoUF0rmzyB/+IJKUVCMZGRmSkJAgO3bsEJPJ5JRqrFixoqZHjx75YWFhjwPoJG3g/5iFhaVjFQDK39//hujo6Jx33323qqamRprLbDbL3r17ZdWqVXLo0CHZts0is2eLREaK/OMf5XLvvY9KaGioPPjgg5Kbm6tflJgoMmSIyJgxIuvXN7sOHQljs+HAAZGrrxaJjRX54gsRm01MJpO88MILEhkZKXPn3iLPP58vPXuKTJggsnJljaSnH5OEhARJTk52Wmz+6aefauLi4o6HhoY+CsBT2sD/MUszzoGurgBLE/9gQP+oqKitc+fOLTpx4oQ0V3l5uezcuVNWr14taWlpkp1tlfvu0xeY/vIXqyxa9I5ERETIzTffLCfHaR45InLllSI9e4p8952Ik/rcdyQMXHVs3y4ydqzIhReKbNggInr849///ncJDQ2Vu+56QJ5/vkw6dxa56iqRlBSb5ObqsR2bN2+WwsLCZlfBbDbLk08+WR4ZGZnu6el5ibSB/2cWFpaOUQAMjIqK2nHTTTcVFxQUSHPVjs3p6emSklIjs2bp9rmnn66SJ554ScLDw+W2227TVyZFdCPe3LkiXbqIfPYZY3M9GJvrSEgQGTRIZPJkkZQUEdHzaNhj8z33LJC33iqVvn11G0VCwqnYnJSUJEVFRc2ugtlslscee6w8MjIyzc3NbbK0gf9nFgfPg66uAMtZ/qFqdadJSkqS5qqoqJDk5GRZs2aNZGVlSWGhTRYu1MnkXXfZZMmSn6R3794yffp0STFONGI2izz+uN5o0SIRJ3WD6IgYuOphs4l8+qn+wnPjjXpSJxHJzc2V+fPnS0REhDz//JvyzDMWiYjQmxw5ogf4b9q0STZt2iTFxcXNrsaxY8dk2rRpBVFRUb8BiJU28P/NwsLSPguAwMjIyPfi4+NPbN26VZrLHpvXrl0r2dnZkp5uk3nzRCIiRJ57rkb++c9/S5cuXWTWrFmyb98+/SKLReSll3SXxocf1hOnUb0Ym+thsYi88Yb+kN1//8nPT05Ojtx5550SGhoqTz31jCxZUiVxcbpX0c6dOjZv3LjRabE5LS3NPlzlVw5XaZ/F5RVgOcMfCFC+vr5/jImJyXZGd5rKykrZtWuXJCQkSHZ2tlRW2uTFF/W4jHnzRL7/fpdMmDBB4uPjZcWKFadeuGGD7uo6Y4aIvfsrNYiBqxGlpSILFugm908+Odmavnv3bpk2bZr07t1bPvnke3n0UZvRyCFy4oS+srlhwwbZvHmzlJSUNLsav/76q71L7FMAvKQN/L+zsLC0j2J0db0pJiYm57333mt2bK6oqJCdO3fKmjVrJDs7W06csMmDD+o23EceEfntt20ycuRIGTFihGzcuPHUC3fuFBk2TF9pSk1tVh3OBYzNjTh+XM8QGxcn8ssvJx8+ePCgXHHFFdKzZ0/58svv5dVXbSen0bA3/G7YsEGSkpKcEpt//vnnmri4uPywsLDHOFylfRWXV4ClkT8O0DUyMnLD3Llzm92dxmw2S0pKiiQkJEhmZqbU1Njk669FevUSuewykQ0bimT+/PkSHR0t7733nlgsFv1Ck0nk7rv1UhFGv3s6Mwaus5CUpLvd/OEPIunpJx9esWKFDBw4UC6++GLZuPGQ3HmnbkB95RWRqiodwNavXy9btmyR0tLSZlWhqqpKFi1aVB4ZGXkEwHBpA//3LCwsbbsAiI2Kitp88803Fze3a77ZbJbdu3dLQkKCZGVlidlsk5de0g298+eLJCcfl1tuuUWio6Nl6dKlcjJ5NZtFHn1Unxzff5+x+SwxNp+FX37RieXNN+slSU4+/Iucd955cumll8rWrQfkscd0o8eCBSLFxSInTpyQxMRE2bJlS7PHXJrNZnniiSfKIyMjDwO4UNrA/z3LWZwbXV0Blnr+KIAKCgqaHxsbe/y3335rVqSwWq1y4MABWb16tRw7dkxsNpts364HXsfHi6xYUSNLly6VqKgoufPOO0/vH796tUj37r87sdCZMXCdpaoq3ZU6PFxP5GN8MaqurpaXXnpJwsLC5NFHH5Vt2ypl2jSRPn1Eli/Xm+Xn58u6deskOTm52TPSpaamyuDBgwsiIyPf4FVLFhaW+ooRm++MjY3NX716dbNis8Vikf3798vq1aslIyNDbDab/PijSN++ItOni+zZY5VXX31VwsLC5IEHHji9e+Hmzbrn0BVXiGRlNaca5xzG5rNkMoncc4++oPD11ycfrq6ulpdffvnk5/Lw4TK57TaR6OiTc/HJ8ePHZe3atZKcnCxms7lZ1di/f7+cf/75BREREa8wNrf94vIKsNT5gxhXJ2+55Zbi5rT02Gw2SU9PPzljnNVqlfx8kVtv1b0O331XZPv2XTJ27FgZPny4nDYWxGwW+ctfRDp3FvnpJ4frcC5j4GqiPXtEBg8WmTnz5FhLEZGMjAyZPXu29OzZU3788Uf5+WeRAQP0VOf79unPeVZWlqxevVr2799/6gq7A6xWqzz//PMVvGrJwsJStwCIjYyM3HTbbbcVl5WViaPqxuaamhrZv1932OjbV+THH0WSk5Nl2LBhMnHiRNlbeykQi0XkySf11K+ff86rkw5gbG6i9et1l7Z5804bq5ubmytz586VuLg4+fnnn2XbNj2Rz9ChIuvW6c95ZmamrF69Wg4cOCDNWaXAarXKs88+W8Grlm2/uLwCLMYfwolXJ48fPy5r1qyR3bt3S1VVldTUiHzwgY5D994rkp9fLY8//riEh4fLO++8c/o/e0qKyAUX6BbQWl/uqWkYuBxgNos89FC9jRkrVqyQnj17yty5c19vNjQAACAASURBVCUvr0Bee01f3Fy4UKSiQqSmpubkOpfp6elia8aXLftVy4iICF61ZGE5x4szr07m5eVJQkKCpKSkSHV1tZSX6/bbsDCRF18UKS6ukIceekgiIiLk/fffP/08duSI/tY+ebKIfbZXajLGZgeUluqksndvkU2bTntqxYoVEhcXJ3PmzJG8vOOybJleGnXOHJHcXJ0QOis286pl2y8urwCL865OlpWVyaZNmyQpKUnsLam7d+uVHEaM0Ks6JCcny+DBg2X69OmnpiEX0S2e77yjv6lzfEazMXA1Q0KCXjvrnnt091hDWVmZ3HPPPdK5c2f57rvvJCtL5Jpr9Mo2P/+st6murpaUlBRZs2aNNGccMq9asrCwOOvqZFlZmWzcuFG2bNki5eXlIqKHrfXocerL9+rVq6VXr15yzTXXSE5Ozuk7+PxzHZtffFHECWtfnssYm5vhyy/11Ymnnz7tc1hWViYPPPCAREZGyscffywmk00eekgP9/3gA/11sqqqSnbv3u2U2Myrlm23uLwC53oJDAyc19yrk1arVfbv3y8JCQmSn58vInq1j4cf1v/U77wjUlmpr05GRETI0qVLT28tKisT+eMf9aQpBw44Wg2qhYGrmYqKdFfYkSNPm8RHRGTNmjXSq1cvmTt3rhQUFMiKFbp3zuzZ+suZiIjJZJINGzbI9u3bmzWmo9ZVy9e4MDMLy7lRavUcatbVSavVKvv27TstNh8/rmfNjIvTjWGVlZWyYMEC6dy5syxfvvz0HVRV6ca1nj1Ftm1ztBpUC2NzM2VkiIweLXL55SJ1JqnaunWrxMfHy1VXXSX5+fmSnCwyfLjIxImnvlqWlpbK+vXrZceOHc2KzbWuWr4EwEPawHmDReAGcgmllH9UVNS3F1988UspKSkRkydPVo7sJy8vD+vWrYO7uzvGjRuH8PBwbN4MDBkCHDoE7NoFTJy4H6NHj0RSUhJ27NiBm2++GUoZh9u/HxgxAvDwADZtAvr2debbJHJMcDDwzTfAVVfpz+eKFSefGj9+PHbu3InQ0FAMGjQIwC/YvRvo1Qs4/3xg2TLAz88fo0aNQlRUFDZs2ICjR4/avyw2SZ8+fbB169bQu+6669aIiIjtSv1/9s47PKpi/ePfJQkQCCHtnE1CIBAglAAxdKIo4k8FQcFy0QuCiKKIFQvci6io14YFAWnSVPAqelGaoCCkF0hIAxLSSIUE0hPSd8/7+2OyYZNtZ0PJbpjP87zPvZwzZ84kZue7M/MWRZ/r+FNyOBwLQ6FQ9BBF8cCUKVM+TU5Odps0aVKbtLmwsBBhYWGws7PDxIkT4erqhp07geHDAaUSOHMG8PBIxJgxY5CdnY3ExEQ8+OCDVzvIzwcmTQKysoDYWGDkyOv0E3I414CXFxAczAR39GggPr751qhRoxATEwNvb2/4+/ujoOBPREUBM2cCgYHAf/4DdO3aAxMmTIAoioiMjER2dnabtHnQoEGIi4tzWbRo0fOCIJxSKBRe1/Gn5LSV9l7V3ooGYIQoitnbtm276ttnJjU1NRQdHU2xsbFUU1NDROx0culSloWLVf+Q6NtvvyU3NzfatGmTri/7L79wd9cbBN8NvY6EhLA4y/fe03H9OnbsGHl5edHrr79OdXV1dPIkS+Tz8MNXTy0bGxvp7NmzFBISQteS/j8sLEzy8vK63K1bt0fIAuYRbty4XV8DECCKYs7333/fZm2urq5u1mZNVurCQlbiecQIduCoUqnos88+Izc3N/ruu+90tfnYMZZ18+OPubvrdYZr83VE45a9bZvOrWPHjlGfPn1o8eLFdOXKFcrJIZoyhWjUKJaXj+iqNoeGhrasPGAmISEhUq9evS517dp1BlnAPHIrW7sP4FYyAApnZ+dXfX19i1NSUqgtSJJE58+fp6CgILqslUgnOppo8GDmAnj5Mqvl98gjj5C/v3/L7HFETKTee4/FrXGXmhsCF67rTEEBS1LxyCPMXVuL4uJimjlzJt12222UkpJCdXWsWLgoEv33v1fbVVZWUnh4OJ0+fbrNWWJLSkpo8uTJpaIobgdPFMCNW4ewJm1+c9CgQcWpbQwBkSSJMjMzKSgoqNnVlYiFoSmVRMuXM2/WwsJCuueee2jixImUlZWl29E337AH/v67TePgGIdr83UmOZlo0CDmpt1KV8vKymjOnDk0ZMgQOnPmDEkS0ebNV8ODNTkiNdp85syZNmeJLSoqorvuuqtUFMUtADqTBcwrt6K1+wBuFQPgJIrikaeeeqpcc7JoLlVVVc0fPM2XYpWK6MMP2RfoX35h7SIiIqh37960ZMkSXZ/16mq28pww4epRDue6w4XrBlBXR/TUU0QBAUS5uS1uSZJEmzZtIldXV/ruu++IiOjkSVbKbc4cooqKq+30bcqYgyRJ9MUXX9SIongOwACygPmFGzdubTMAzqIoHl+wYEF5W+vdVlZWUlhYWIsvxaWlLAmPry9RVBRrFxQURJ6enrRixQrdja3GRqKXXmKTVmZmm8bBMQ3X5htAWRnRvfeyAqsasdVi+/btzafyROzPe+JEZpo/dW1t1t6UMQdJkujTTz+tEQQhBUB/soD55Vazdh/ArWAAxiqVyryff/65gdqAWq2mtLQ0Cg4ObuG+l5dHdNddRHffTZSfzz5Q69atI0EQ6MCBA7od5ecz34O5c5mvLOeGwYXrBiFJRKtWMXfYVqnNiYjOnDlDvr6+tGjRIqqrq6PqaqLnnmN5LrSb19TUUFRUFMXHx1NDQ5s+lhQTE0Pe3t5FDg4Oc8kC5hlu3LiZZwAmKJXKC7/++mubXBfUajWlpqZSSEhIC/e9oCAiLy92eFNdzdp9+OGH5O7uTn/99ZduR+XlRPffT3Tffez/c24YXJtvEA0NRC+8QOTnx8rftOL06dM0ePBgevrpp6m6uppUKnZa6eZG9P33V9tVV1dTZGQkJSQktFmbT5w4QX369Lnco0eP2WQB88ytZO0+gI5sABSurq7L/Pz8SjLbuPNYWVlJoaGhdO7cOVJrxVb89tvVzM4qFUvpPGfOHPL396eMjAzdjpKTmbvrRx/x+MmbABeuG8y+fUyNDh7UuVVRUUEPP/wwjR07lnKbTjT37GGfl08+uRqiJEkS5eXl0fHjx+nSpUttGkZFRQU9+OCDZaIo7ubusNy4WYc1afPbw4cPL9HrgiqDiooKCgkJaaHNKhXRypUsr8Gff7J2xcXFdN9999Gdd95J+fn5uh3l5xMNG0a0eLGO+yDn+sO1+QYiSURr17J44NhYndtVVVX05JNPkp+fH2nczJOSWOjWvHlEmop6kiRRbm7uNWlzWVkZTZkypUwUxV3cHfYmzq3tPYCOagC6iKL4v9mzZ5e3JW2yJj4jODiYyrV2Lmtr2WZQv35XXWrS09Np+PDhNG/evOYaWC2IjmYxGk2uB5wbDxeum0BUlMG/a0mS6LPPPiN3d3f6uyk2KSeHudtMnsxCNDXU1tZSVFQUJSYmtimeQ5Ik+vLLL2sEQUgCoCQLmH+4ceOm3wB0FUVx7/z58yvq683PxyNJEmVkZFBwcDBVaLn6XbjASidMnkx08SK7lpSURD4+PvTmm2/qj+NOTWW1RT77zOxxcNoG1+abwO+/s3p2x4/r3JIkiTZv3kyCINDhpgLTV64QPf00C81MSLjatra2liIjIykpKanN2tzkDhsPQCALmH86urX7ADqiAXAXBCFp9erVNTpZ3WRQU1NDkZGRdPr06RYfpOxs5r362GNXPWSOHDlCoijSxo0bdTPIEbFCWG5uRPrcYTk3DC5cNwnNCfyqVXpvHzt2jNzd3enrr78mSZJIpSJ6912iXr2IwsOvttPEcwQHB7c5C92RI0fU7u7uFwCMJAuYh7hx49bSAHgKgnB27dq1bYr/qKmpoYiICJ2EIocPs9PJDz+8mnzkt99+Izc3N9q1a5f+zk6dYic6W7e2ZSicNsK1+SYRFMQWlnv26L0dFhZGHh4e9Pnnnzd/d921i31d3bDhqkOdoQMWczh8+LBaqVTmA/AnC5iHOrK1+wA6mgEY6e7ufuHvv/9uUx7wCxcu6D3y/+svdijz5ZdXP2wbN24kpVJJoaGh+jvbvZv5/EVEtGUonGuAC9dNJDeXJbdYtkyva3dWVhb5+fnRCy+80Hxa8Mcf7KOxZk3LR6qqqig0NJRSU1P1b9KYID09nQYMGFDMYzm4cbMsAzDGw8PjYlBQUJu0OT8/XyeJiFrNFpK9erHKR+yamt5//33y8vKimJgY/Z1pvnD/9ltbhsK5Brg230RMbJzk5OTQyJEj6cknn2wujZeaykrvzJtHpJ3TsrKykkJCQigtLa1N2pyamko+Pj7F3bt3f5wsYD7qqNbuA+hI5ujo+OTAgQOL9cY0mkClUlF8fDydPHmStF1y1Gqi//yH5SUJDr7a9rXXXqNBgwZRenq6/g7/+1+2dZqYaPZYONcOF66bTHExywr75pt6F5YVFRU0ZcoUuu+++5pPIjMziW67jeif/2xZpUStVlNycjKFh4dTWzI1V1RU0N13310qCMLXADqRBcxN3LjdytazZ8/5vr6+xef1JBAxRWNjI8XFxVFMTEyLxCEVFUQzZ7JE6hcusGt1dXX0xBNP0Pjx4+mixge2NceOseMYPa6BnBsP1+abTFoa8ybatEnv7erqanriiSdo3LhxzRnZr1wheuIJopEjWdiKBrVaTWfPnqWIiAhqS6bm8vJymjhxYqkgCJ9zbb4x1u4D6AgGoJMgCGvuueee0srKSjKXyspKCg4OpqysrBY7MFVVRDNmEAUGXhWtyspKmj59Ot1zzz2GC7n/+CNbUCYlmT0WzvWBC1c7UFLCFpavv653YdnY2EgvvfQSDRkyhDRfLmtqiObPZ3kyWn/fLCoqanOiAJVKRa+//nqVIAjBAHqQBcxT3LjdagbARhTFDffee29ZlSYLiBlotDk7O7uFNqeksOQiixax2pNELDHIXXfdRY8++qjhzSjNglKzQ8y56XBtbgcyMoh692ZFKvUgSRItX76cBg4c2JxoUpKYZ567u+7+y+XLl+n48eNtKgumUqnolVdeqRRF8W8ADmQB81RHsnYfgLUbgB6iKAa/+eabldrZWeWSl5dHQUFBOr7iublE/v5Ezz57VbQuX75Mo0ePpmeeecZwquWdO9mn8PRps8fCuX5w4WonSkrY9uaSJQazHK9bt448PT0pPj6eiK4mrHN31/UUr62tpYiICEpOTm6Ty82uXbsaRFHMBOBDFjBfceN2qxgAR1EUw//1r39VtUWbc3NzKSgoqEUyHiKi/fuZ56q2R19OTg75+fnRK6+8YjihCF9QWgRcm9sJEwtLIhbS5eHhQSdPnmy+9vffLPRr9eqWkl5bW0vh4eGUkpLSJm3+/vvv6wVBSAfQlyxgvuoo1u4DsGYDIAqCcG7Xrl1mF9NRqVSUkJCg41JDRHTiBHN31Y6fzM7OJl9fX3r77bcNf4B++YX5r585Y+5wONcZLlztSGkpy2i1bJnBJr/88gsJgkAhmkAoYsk2BIElC9BGkiRKSUlps8tNTEwMeXp6FgAIIAuYt7hx6+jWlCwv7aeffmqTNsfHx1NsbGwLbZYk9sW2dYncxMRE8vLyoi+//NKwNoeF8QWlhcC1uR1JT2cLyx07DDbZt28fubm50UGtcmHZ2UTDhzPPAO0kypIkUXJycpu1+cSJE+Th4VEAYARZwLzVEazdB2CtBsBHFMXco0ePmr0FWl1dTSEhIXT+/HkdEdq9m32x3b//6rUzZ86Ql5cXff3114Y7PXKEPaidj5nTbnDhameKi1nyHgNZYYmIjh49Sm5ubrRv377ma2fOsAz/K1ZcrWepQeNyU1xcbPZwMjIyqG/fvkV2dnb3kAXMX9y4dVQDMEAUxbzjx4+brc1XrlyhkJAQnVCUxkail15idd2zs6+2j46OJlEU6aeffjLcaWIiywp25Ii5w+HcALg2tzPnzjG3IC3dbU10dDQplcoWn6uKCqL77yeaMoX9f20uXbpEx48fp5KSErOHk5aWRn369Cmys7ObRBYwf1m7tfsArNEABHh6ehacOnWKzEUTp9X6j1+SWGH2Pn1argtPnDhBoijSzp07DXd64gRbUBrKAsu56XDhsgDy8oi8vYm2bTPY5OTJk+Tu7k7fadW6vHSJxTE//jhR6xKzNTU1FBoaSm0pmF5YWEhDhgwp4ZlhuXG7MQZglKenZ6HGtd0cNJtGrXMVVFYSPfAA0b33Xi3lRUQUHBysc6Kiw/nzLDXszz+bPR7OjYFrswVw8qTJ76xJSUnk6elJ27dvb77W2Ej0/PPs1DI3t2V7zWFNtvauj0wuXrxIgwYNKnFwcJhFFjCPWbO1+wCszezs7CZ7e3sXmZvhVVMHLywsTCeIX60mevVVliwkP//q9cjISBIEgQ4YqzGZnMwcznkdSouCC5eFkJrKdkWNpO5PSUkhLy8v2qoVJFVbS/TII0T33MO+VGqjUqkoNjaWEhISyNxYrYqKCho/fnypi4vLm2QB8xk3bh3FunTpcn+/fv2KzM3wKkkSZWRkUFhYmI4L3cWLLEP0s88SaUep/Pnnn+Tm5kZ///234Y4vXSIaMIBo3TqzxsO5sXBtthCOHmUn+EYqFKSmplLv3r3pm2++ab4mSURffMH2alrvHTU2NlJsbCwlJiaarc3l5eU0ZsyYUhcXl9fIAuYza7V2H4A1WY8ePf45ZMiQksLCQjIHTYxGXFycThB/fT0raTBxIpF2zfXw8HASBIEOHz5suOPCQuar9/33Zo2Hc+PhwmVBxMayXVHtQKhWpKWlkZeXF23WSiKgUhE99xzL+9M6Aazmi2h4eDjVtT7ONEFdXR1Nnz69TBCE1QAUZAFzGzdu1myOjo5z/fz8SszN1KxSqejUqVMUHx+vo80ZGUQ+PqwOpXaUyr59+0gQBAoPDzfccXU1i+t+5x2zxsO58XBttiB272arw9bHjlpkZWWRj48PrWoVyvLrr0zWtdIiEBHT5vT09DZpc21tLU2ZMqVMEIRVXJvbZu0+AGsxV1fXN8aNG1faOhOcKerq6igsLIwyMzN14icrK5lLzYwZLYu8hoWFkSAI9OeffxruuLaWaPx4onffNWs8nJsDFy4LY/9+lmFDu+hVK9LT06l37960SaueliSxj9iAAayuZWs0sRytszebQq1W08KFCytEUdwNwJYsYI7jxs0azdXVdVlgYKDZ5bxqa2spNDRUb26DhAQ2XbQurXfgwAESRZFiYmIMd6xWEz32GNHcuQYzUHPaD67NFsaqVcwdQLtYdCvy8/Np4MCB9MUXX7S4fvSobg4SDYWFhXorK5hCpVLR/PnzKwRB+C8AG7KAOc6arP0HAGQDIANWaOCZQACHAJQCqAWQBOA1Q38AAAIAhACoamo704zxKQRB+GLatGll5u56VFZWUlBQkN46dyUlRGPGEC1c2DKblWZBecRYUL8ksePNJ57gomWhcOGyQL76igVjGPnymZGRQX369KGNGze2uL5hA/uSqa9ST1VVFQUFBZG5HgySJNHKlSurRVEMAtCFzJ87vzMydxKAwQae8wKwHcBFAPVNc/DXAJwNtBcB/AigpKnt21xsO75ZgzaLovj1Qw89VFavqbslE40266tzFxbGvPJ27255/ciRIyQIAkUb8XggIrYLFRioG5DNsQi4NlsYksSKRT/yiG52PC3y8vKoX79+LVxhiVhKEaVSv8OeRpvN9WCQJIlWrFhxpamWZWcyf+68ZbXZUoSrHMBKPaYTdwRgBgAVgCsAtgH4HMC5pv9Qv+pp7970Cz/T1PYvABKAu2WMTSGK4rp//vOf5QZrTxmguLiYjh8/rlPjioioqIhtzLzxRss1YVxcHAmCQH/99ZfxzleuZKeUhgosc9odLlwWiCQxf9Zp05hvqwEyMzPJy8uLfvzxxxbX//tfFp6pL8GyxiOhLQl81q5dWysIQgSArtQ24frawPzppueZ/gAuNT23F8CnAI43/fscANdW7RUAwgEUNb3newANAFaaM1Zu1meWrs2CIGyeN29ehbmxU5cvX9Zbf5Loalmh1nu6wcHBJAgChYWFGe/8v/9lycHM/BLLuXlwbbZA6uqI7riD6O23jTbLysqiPn360JYtW1pcT05mlUrWrtXXNdPmtiTwWb16dY0gCKEwc9P3VtZmSxGubJltHQFcBlvBj9a63hVAZNMv/4lWzzwHIA+Avda13wDsMvEuhSiKm9oiWnl5eRQSEqKTkIeIac3w4UT//nfLBWVqaip5eHjQnj17jHe+bx/79Jh5KsK5uXDhslAaGojuvpvVDDHCmTNnSKlU6mR2/OUXtiuqL/GzSqWikydP0tmzZ80uxrxx48Y6QRBOaM9TpkxLuPqa8cxfTc+83Or6V03XN7W67tt0fbjWtVcA5Mt9JzfrNEvWZkEQti1YsKDC3M9Zbm4uhYaG6q1p98cfbEEZGdnyuiZh3rFjx4x3HhfHOjCSeITT/nBttlAuXybq10/XRaAVaWlp1KtXL/rhhx9aXM/OZo+vXq37jEqlohMnTlBycrLZ2ty06RsJMzZ9b2VttjbhWtD0S/xez73JTfdCWl1/AUAutHYaAPwC4Ccj71GIorjVXNGSJIlSU1MpKiqKGrV9WpsoKCAaOpR5x2h3m5eXR97e3rTNSOkDImJBXYJAFBUle0yc9oELlwVz6RKRlxf7FmmE6OhoEgSBQlulPf/tN+Yed/Kk7jOSJNGZM2coJiZGJ/GHKbZu3VonCEIMgG50A4QLbCeUAGQB6NTqXg+wE6ZqAN21rg9pemao1rXFAArkvJOb9ZqlarMgCN8vWrTIbG0+d+4cRUdH69Xmgwf1S+uZM2dIFEXjCfOIWJY9Hx+TX4g57Q/XZgsmLo7IzY3VsjTC2bNnyd3dXacyQk4O+xh+9ZXuM5Ik0enTpyk2NtZsbTZ30/dW1mZLEa4CAE8CWA7gVQB3Q49fMIBdTb/Ef+q5Z9v0S29sJVK9AVQASADwGYCDTX1MNTAehSAI259//vlKc0UrMTGR4uPj9aYyvniRaNAgog8+aHm9qKiIBg8eTF9++aXxF9TWEgUEEK1ZI3tMnPaDC5eFowmcMuGu+vfff5MoihQXF9fi+v79xhPKnj9/niIiIqhBuw6BDHbs2FEnCMIpOQtLLeF6AcAyAG8CmAnA0UD7Z5vabzZwX7NTeo/WtU4AYgEUAlgNFu9RB+BTU+PjZt1midosiuLOF1980WxtTkhIoISEBL2nFAcO6P8s5+bmUu/evWnXrl2mXkA0cybRSy/JHhOn/eDabOFs3szq61VXG20WHR1Nbm5uOjHOublE/fuzsiP6yMzMpMjISL2bS8bYsmVLnSAIJ+UsLG9lbbYU4WodxEoAzgO4q1XbmKZ7owz0dabp/pBW18cDiABb7Z8F8LiB5xWCIHz7zDPPmLULqlar6dSpUwbd3oqK2Anlf/7T8nptbS0FBgbSsmXLTL9k4UKiWbN4Yh4rgQuXFfDll0SjR5tMqLFnzx7q1asX5bZKe/7HH2xdaqjOen5+PoWGhpK5SUS2bdsmS7xgOBlAJYAX9bT/vOn+Gwb6+0YjhK2u9wLwK4AyMHfFDwDYGRsbN+s3S9NmURS3L1q0yKwFpVqtptjYWINub5rNoRMnWl4vLS0lPz8/nTIGevniC5Z1jyfmsQq4Nls4kkT05JNETz1l8vvuwYMHSalUUmpqaovreXlsYWno45ubm0thYWFma/PmzZvrBEGIgglX2FtZmy1BuN4Dc49RAugGYBiATWAB+zUA/LXapjX9YgcY6Cui6f6ENoxDIQjC+vnz55u1oFSpVBQdHU1paWl675eXs3JV//53y+tqtZoef/xxevzxx00Xaf31V1bTwMyU6Zz2gwuXFaA5YXjzTZNNv/zySxo+fLhOco///Y/Iw4MoJUX/c4WFhRQcHKw3vtoY3377ba0p8QJzOZwFoA9Y7JoPgDeahIsAPNeq/bdN15810N9HTff/beid3G4dsyRtFkXR7M1elUpFUVFRlJ6ervf+kSNsQdnajb22tpbuvPNOevXVV03HX508yXaW2pAEhNM+cG22Aq5cYScxMmqwb9myhfr160cFBQUtrmsWluvW6X+uoKCAgoOD9cZXG2P9+vW1giCEwUjynltZm9t9AEb+o3zR9Ev8XevaDRMuQRBWz5kzx6ykPA0NDRQREWEw4+OVKyyh1Ysv6m64LF++nAIDA03/QefnM9FqvZXKsWi4cFkJRUWsVoiJ/16SJNELL7xA999/v45L63ffsdxZ58/rf7a4uJiCgoLoipE6XPqYOnVqo729fQ6AD3E1a1xfMj13Tm+aB4ug5arYkYSLW/vZzdZmURTXmbvZ29DQQOHh4QYzPkZFsQVl62SukiTR3Llz6dFHHzW92VtdTeTry+MorQyuzVZCQgKLr5SxYbNy5UoaO3aszvfprCyWPmHnTv3PFRUVtUmb77vvvkZ7e/vsppNBrs3aY23vARj55Q9o+iWWaF1rk4uNKXNxcfn3zJkzy8xZUNbX11NoaCjl5+frvV9XR3TvvewEv3W327dvp/79++utkdUCtZp1snKl7HFxLAMuXFbEoUNEffqwZBtGaGxspKlTp9Lzzz+vc4LxzTcsQcCFC/qfLSsrM1hiyBDQ7z4zieTNn/nQzQzXJhcbbty07WZqs6ur6zuPPfZYubnaHBISQhcMfBiTktg+rb48XatWraKAgACqNhHPRURst3j2bNnj4lgGXJutiE8/JZo0yWj9SiK2GTRr1ix68skndbT57FmWsX3/fv3ParS50gxPQK7NRn6+9h6AkV98z6ZfYp3WNbOTAZgyR0fHeXfccUepOb7VGtFqfdyuQa1m4Y+PPELUOhZYk1EyxZC/nDZr1hCNG6fbCcfi4cJlZSxeTDRnf3NKXwAAIABJREFUjslmlZWV5OfnR5s2bdK59/HHLL+AobVpZWWl2QtLIqIlS5ZUCoKwFYCC5M+f8U1z5Xita2YnA+DGrbXdLG12cnJ69q677iozJ9mVRpsLDZTcysgg6tWL6KefdO8dPHiQPDw8dGKn9fLXX8w9obRU9tg4lgHXZitCpWLufqYSWRJRdXU1jRw5kj777DOdeydOsENPQ//pKyoqzF5YEhG99NJLlaIobiDz5s8Orc3tPgAjv/j7m36JyVrXzE5bbsy6dOly/7Bhw0qqqqp0/1oMYGpBSUT0xhvsc9Das7WwsJC8vLxo3759pl+UkUHk6kpkIFaTY9lw4bIyNK5sv/9usmlqaioJgkCRrQraSRI7vLj7biJDe1RtWVhKkkSPP/54uZub20qSN3f2BFALFvum1Lpudtpybtxa283QZnt7+2nDhw8vMcctzdSC8vJllppg40bde2fPntX7mdZLRQVbUB49KntsHMuBa7OVcf48WxG2Ssajj9zcXPL09NQpNUJEdOwYc3lPStL/bFsWlmq1mh5++OFyV1fX5SRv7uzw2tze4jRE3y8JQF8A6U2/5OVa1x3BfJFlF1g28u7R/fr1KzLpgqqFnAXl2rVEgwcTlZS0vN7Q0EB33nknvfPOO6ZfJElE//d/hlNXcSweLlxWSHAwC8CQseA7cOAAeXl56cwFKhXRjBkseZ2hELC2LCwbGxvp7rvvLu3Zs+dCYvOXOwAv0p3XHAD83jQXHtFz36wCy9xuTWtnbR7Xv3//4uLiYpKLqQVlTQ3RhAlEy5fr3isvL6cBAwbQjh075L3s5ZeJnn5a9tg4lgXXZitk9Wq2WysjrjoqKooEQdDJCEtE9OOPLNLFUJhKWxaWDQ0NdMcdd5T27NlzPhHX5vYWrpUAqgD8AWADWK2q/zWt5KnpeudWz8wEoGpauW8FsArAuab2v0KGixiAgb169So0lGBHH3IWlL/9xnJ+6Ov21VdfpQceeMB08D8Riyq+7Tbu9mrFcOGyUp55Rna9uffee48mTpyok7inupp5rev7AquhLQvL6upq8vf3L7W3t38QwKSmeTAMwDYAnwD4AayuIAHIBNCHdOe+/gAuNbXZ2/Tc8aZ/pwJwbf0Mt1vP2lGbB3t5eV3KyckhuZhaUKrVRP/4B9E//6kbmiVJEj322GO0aNEieS87eZIFaJmx4OVYFlybrRCVipVR+O47Wc03bNhAI0aM0Jt1/aOPWMl3Qw6KbVlYVlVV0fDhw0u6dOky5VbX5vYWrrsA/NQkPOVgMRdFAI4CmGdIhADcDuAQWG2WWgCnASyBnqLMep71UCqVeYmJibL/YBoaGig0NNTogvLkSXZCHxure+/nn3+m/v37U6mc+IuiIiZaMTGyx8exPLhwWSklJaxGSFSUyaZqtZqmT59OS5Ys0bmncbXbutXw85qFpTniVVxcTP379y/u1KnTQwA2A4hrmjMbwQrJnwTwNoAeZHgO7A1gR5PINQDIAfA1AGdDz3C7taydtLmXUqnMP336NMmloaHB6IKSiGjpUqKJE/WXkVy7di0FBATIKyvQ2Mg2ew2lkuRYBVybrZRTp9h346Iik00lSaInnniCFi5cqOce2zueNs3wuY1mYWlOaFxRURH5+PgUAZh2K2tzuw/gpv6wQE9BENKCgoJkp5JTqVQUHh5uMJMcEdHFi8xrbu9e3Xvnz58nQRAoVt9qUx/PPkv06qtyh8exULhwWTE//UTk7892R01QUlJCvXv3pj/0pJI8d47FcISHG35eI16ysk02kZubS15eXpdgZiZNbtws1QA4C4KQERoaKrtuSGNjI4WFhdHFixcNttm0iYVK6ztYPHHiBAmCQBkZGfJeuHo1C0sxo7QJx/Lg2mzFvP460YIFsppWVlaSr68v/fDDDzr3GhpYYYXFiw0/X15eTkFBQWbVmM7OzqZevXoVAvAlC5hX28PafQA37QcFbAVBOPHrr7/KTiWnVqspKirKYK0rIrb7OX480Qcf6N5raGigcePG0VdffSXvhfHxbCemvFzuEDkWChcuK0aS2NHGli2ymoeGhpK7u7vejac//mAHn8YSSpaUlFBQUBDV6TtKMcCZM2dIqVTmAxDIAuZXbtzaagDsBEGI/f3332XHe6jVaoqMjCRjbrIhIax0SHq67r2ysjLq27cv7dmzR94Li4uZK1JystwhciwUrs1WTEUFkbs7O7WUQVJSErm5uVGyns9tRQXRkCFEmzcbfr4t2pyUlERKpTLXWtxVr7e1+wBulomiuO3999+XnUpOkiSKjY2ldH2K1NyGxes/+qj+MjrLli2jBx54QKdujsHO7rpLf2o6jtXBhcvKiY1l4iUz5nHlypU0efJkUuk53fzsMxYOYmzD8/LlyxQSEqITn2mMw4cPqwVBiG8d28aNmzWZKIo/fPTRR7KP6iVJopMnT1JmZqbBNnl5bDPnr7/0358zZw4tNnZM0ZqXXmKpnTlWD9dmK2fzZvZdWabHwKZNm2jkyJGkr2xgairzJjKW9PnSpUtma/PBgwdVgiDEArAjC5hjb6a1+wBuhjk7O78wefLkerkuZpIkUUJCgt7dDW3WrCEaMUJ/wG9wcDB5enrSpUuXZL2TfvuNFbnjyXk6BFy4OgDz5xMtWyaraWNjI02cOJE+//xznXuSxGqkz55tXAcvXrxI4eHh1ChzDlCpVLRkyZJGDw8PWUlQuHGzNHN1dX313nvvrZfrYiZJEsXHx9O5c+cMtqmtJRozhtVN18fPP/9MgwYNku9ynpzMTillxHJxLB+uzVaOSkU0fDiRTC8DSZJo2rRptGLFCr33Dx5ktWuNRLjRhQsXKDw8XO+msT4aGxvppZdeavTw8PiRLGCevZnW7gO40WZjYxM4dOjQkpycHDp+/DiVGapMrkVKSgolJCQYPWGMiGCuNefP6967cuUK+fj40P79+02+i4hYUTsfH6IjR+S151g8XLg6ABcuELm46P+Q6yEzM5NcXV0pJSVF515NDcs4t26d8T5ycnIoOjraZJbo2tpaCgsLo/Pnz9OsWbPKXVxcXicLmG+5cZNrNjY2dw4bNqwkNzeXjh8/TuUywj6Sk5MpKSnJoDZrvIf+8Q/9Gzj5+fkkiiKdPHnS5LuamT5dVvF1jnXAtbkDcPQoUf/+LDhSBgUFBaRUKg3Wof3gA1ZyyFB9aSIWLxkdHW3S87C2tpZCQ0MpKyuLZs6cWebk5NSiREhHt3YfwA394YDenp6ehblNAU1Xrlyh4OBgo0l3cnJy6MSJE0b/cIqKWO1jPfVViYjo5ZdfpieffNLg8zps2sSihjkdBi5cHYQVK2QnBiAi+uabb2jChAl6dzQzMpirjanEzqmpqUY3tTQJBDQ1duvq6sjf37/Ezs5uMlnAvMuNmykD4N2rV69CjRZXVVVRUFCQ0aQ72dnZdPLkSaPavGkTc/jR5z0kSRLdd9999P777xt8XofoaJaFz4yYKo5lw7W5g3DPPbLzHhAR7dmzh/r37683o6taTTRzJtELLxjvIyUlhZKSkgzeLysro+PHj1NRk1dDTU0NDRs2rMTGxmYiWcC8ezOs3Qdww34woJsoiuciIiJaKFBDQwNFRkZSamqqjjhdunSJQkNDjbqfqdVEU6cSvfWW/vsat9eSkhKDfbSgro6tUKOj5bXnWAVcuDoIpaXM9c1IbLU2arWaJk2aRF988YXe+//7H1G/fqxbQ2hc/PTFcxcUFFBQUJCOMBYUFGgywvqQBcy/3LgZMgAOgiCknThxgrSpr6+niIgISktL06vNYWFhRt3PEhLYR1VPzXMiItq2bRuNHj1atns5ERFNmcLzHHQwuDZ3EMLDiby9jR8vtmLu3Ln0qoHqChUV7PDzl18MPy9JEp06dUpvxugLFy7o1eb8/HxNRlhvsoD590Zbuw/ghvxQgEIUxT+3bNmid3tRrVZTYmIinTp1qlmkKioqZGV5+vhjottv13/qbrbbKxHRN9+wgjmcDgUXrg7EBx8QzZ0ru3lmZia5ubkZjPt65RWiGTOMx1dqslvm5+cTEROz9PR0ioiI0JtwgIgoJiaGRFHMNFYHixu39jQAnQRB+HvHjh0GtTkhIYHi4uKaXcA1J/PGtLmqipUO2bVL//1Lly6RIAgUHx9vsA8dIiOJ+vQx60srx/Lh2tyBuO8+5p4gk6KiIlIqlQbd32NimDeRkRxgpFarKSIiotnjUZIkSk1NpcjISIPJfKKjo0kQhDQA3ckC5uEbae0+gBthgiD8Z9GiRSbTNp4/f57CwsKovLxcVhHy0FBW8SMvT//9pUuX0uzZs0299iq1tSxCWG4NS47VwIWrA1FRwZTGSHKQ1qxZs4YmTZqk11Wvvp4lElm92ngfmsLuRUVFFBcXRwkJCSZjLXft2tUgCEIQgE5kAXMxN27a5ubmturll182KrSSJFFGRgaFh4c3a7OxIuSSRPTkkyyW0hCzZ8+mpUuXGnutLvfdZ7zeAMcq4drcgYiKYp5+Zmz87Ny5k/z9/Q0uAFevZvpsrMuGhgYKDg6moqIiOnXqlCxt3r59e70oikc7elK9dh/A9TY7O7t7xowZUyLXxeXixYt04MABo/WuiNj3yr59DcdRnj59mtzc3KiwsFDWe4mI+YNPnSq/Pcdq4MLVwXj/faKFC2U3V6lUNHLkSNq5c6fe+5mZzFXv9Gnj/ZSXl9OBAwcoOTlZXmkiInr55Zcr3dzcVpIFzMfcuGmsS5cuUyZMmFAiN4PihQsXZGnzjh2s3twVAwXDDh8+TD4+PvKzvRKxmtG9evFTyg4I1+YOxj33EP3wg+zmkiTRvffeS6tWrTJwn+ihh4hef914P2VlZXTgwAG9ifkMsWjRogpXV9flZAHz8Y2ydh/Adf1hANHDw6PAWLC/NpIkUUxMDJ07d46CgoKMLgifeorouecM9zNx4kRav369rPcSEQvOHDKE6Ngx+c9wrAYuXB2My5eJnJ2J5JYIIqITJ06Qu7s7lRoIoNy2jZUkMuTVV1lZSUFBQZSRkUHBwcGyY8EaGhpoxIgRJQAmkAXMy9y4AfDw9PQslLvpqqlFmZqaSkFBQQZLc6WlGd+cqa6upr59+9JfhgpWGuLJJ1mBWU6Hg2tzB+PQISakMjddia5maj9vILN7SQnzfD90SP/zmnC5jIwMCgkJka3N9fX15OfnVwxgDFnAvHwjrBM6CAqFopMoivu3b98uenh4yHomIyMDnTt3xqBBgxAYGIiMjAxkZmZqRLCZPXuAiAjgyy/197Nz507U1tbi+eeflz/gP/8EunQB7r5b/jMcDqd9EARg1ixg/XrZj4wdOxYzZ87EihUr9N5/+mnAxwd4913de5cvX8apU6cwcuRI9O/fHz4+PoiPj9eZm/RhZ2eH/fv3u7i7u/+qUCicZQ+Yw7kBKBQKG1EU93///feCUqmU9Ux6ejrs7e3h6+uLCRMmIC0tDefPn2/RRq0G5s0D3nkHGDZMfz+ff/45xo4di/vuu0/+gPPzgUOHgOeek/8Mh8NpH6ZMAVQq4Ngx2Y/4+Pjgtddew1tvvaX3vosL8N13wMKFQGlpy3uXLl1CXFwcRo0ahf79+8Pb2xsJCQmytLlz587Yv3+/q1Kp/E2hUPSUPWBror1XtdfLBEF4f8mSJcaDIrUoLCyk8PDwFn7QarWa4uLiKD4+vvn6hQusHqWh5Kzl5eXk7u5OMabqBLTm7ruJDLjGcawfvhvaATl3jsVWmuFGV1paSkqlkk6dOqX3/uXLRB4eRMHBV69lZmZSWFiYTmKS06dPGy363po9e/Y0iqJ4HB08hoObZZsgCJ8sXbrUcFBkKwoKCigiIqKFNqtUKp3YpU8+YTJqKJQpNzeXXFxcKDs7W+6rGW+9RbRkiXnPcKwGrs0dkO3bWQy0GdTU1JC3t7fRv4dXXiHSpEnRjvVurc1JSUmUlpYm+90//fRTgyiKf3VEbW73AVwPs7GxCfT39y8xFHjbGk1NLH3Z5LSzLNbV1dO0aUTvvGO4r3/961/0tLEMAfo4e5Z9k5Q5Xo71wYWrgzJtGhMwM9i4cSPdfffdBmMiDx5k8doVFSzzpXZWam00GWELCgpkv/uZZ56pcHZ2fpMsYJ7mduuZjY3NnSNHjpSd40Dj8q0vw7EkSZSWlkYRERF06lQDubkRGVsvzp49m94xJt76qK0lcnUlMuAWx7F+uDZ3QOrq2OmPGQs7IqJffvmF/P39DZYqqq5mWaV371ZTfHx8i6zU2mgywpqTU2Xu3LnlTk5Or5AFzNPX09p9ANf8AwAu7u7uF+TuRmqyNpWXlxttV1BQQCtWnKWhQ1UGY/U1O6GatP+yWbKEaPly857hWBVcuDoo+/YRBQaa9UhjYyMNHjyYDh48aLDNnDlqmjXrot4afdrU19dTUFCQyUzVGmpra2nw4MHFAALIAuZrbreOAXBzd3e/mGcoXXorGhoaKCgoiCoqjCduz86+SAMGVNL69bUG20RERJCXlxddMZS9xxC7dpl94sGxLrg2d1DeeIPIzAzPmnwom41keQ4NbSAXl3qKjDxvVJvr6ur01qk0RE1NDfn6+hYDGEEWMF9fL7PqmEqFQqEQRfG3DRs2iN7e3ibbExESExPh4+ODnj2NuzPb2rrj228H48UXE1BRUaS3zYoVK7B48WL06tVL/qDr64GdO4EFC+Q/w+FwLIMHHgCysoDkZNmP2NraYtWqVVi6dClUKpXO/StXruAf/4hEcLCIkpKBUCgUBvvq3LkzRo4cibi4OL19taZr167Yt2+fq1Kp3KtQKHrIHjSHcw00afPeLVu2iF5eXibbExESEhIwcOBAODo6Gm27c6cHfHy6YvDgKBQXF+vt6/XXX8cnn3yC7t27mzfwrVtZIBWHw7Eunn0W+P57oLFR9iMKhQJr1qzBu+++i6qqKp37V65cgVodgTlzGrB6dT+j2tylSxfcdtttiIuLg1qtNvlue3t77N2711UUxX0KhcLMicpysepFpYuLy5sPPfRQwMMPP2wrp31OTg5sbW3Ru3dvk22XLAFmz+6EBQv8kJqaiuzs7Bb34+PjceTIESxdutS8Qe/dC/j7A/37m/cch8Npf2xtWYadrVvNemz69OkQRRHbt29vcb24uBgxMTG4665hWLPGBs8+CzQ0GO/L0dERffv2xenTp2W929fXF59//rmHKIo/KYypIodznXB1dV3+2GOPjZg+fbqNnPZZWVno3LmzyQ3atDTg66+BLVvsEBg4ASkpKcjJyWnRZv/+/airq8Ps2bPNG3R6OpCSAjz0kHnPcTic9mfwYMDXFzhwwKzHAgICcM899+Drr79ucb2oqAgxMTEICAjAZ585ID4e+OMP4305OTmhd+/esrV5yJAh+Pjjjz1FUdxl1qAtmfY+Km2rARji6+tbrC8uUh9lZWUUEhJi0Hdam8OHWYyTxnNGpVJRbGwsJSUlNftTT5s2jdatWyfr3S24/36i//7X/Oc4VgV3senAZGSwhD1mxkSfPHmSvLy8mmO5s7OzKTQ0lGprmRufJBFNn060cqXpviRJotjYWJM1/LR59NFHyxwcHOaQBczf3DquARg2ePDgYn1xkfooLS2Vpc2SRDR5MtFXX129plKpKCYmhk6fPk2SJJFaraZhw4bR/v37Zb27Be+8wxP03AJwbe7A7NhBNGOG2Y+lp6eTq6srlZSUEBFRVlYWhYWFNWszEdHRo0Te3obr4WrQlCqU6/YvSRI99NBDZfb29rPIAubvazUFkek0uJZGU4rypD///HNoQECAyfaNjY2IiIjA6NGj4eDgYLRtXR1LT/7NNyxTsQYiQlpaGsrKygAA//jHP5CRkYEuXbrIH3hRETBwIHDhAmCuWw7HqggODsakSZPaexicG8X48cD77wP332/WY9OnT8fUqVMxadIk1NTUYOTIkbCxuXqYk5cHBAQAJ06YdmZQqVSIiIhAQECASZdBACgrK8OwYcMuX7x4cQQRXTJr4ByODBQKhZ0oimeOHj3qO2LECJPtNdo8ZswYk66qP/wArFnDPhu2Wr5JRITU1FRUVFQgNTUVGzZsQFRUlFFXNR2I2EnHzp3A2LHyn+NYHVybOzDl5YC3N5CbC5gIcWvNc889BxcXF8yZMwf19fUICAhooc0AMHcu4O4OfP658b4089qoUaPQo4fpqJOSkhIMHz78UkFBwTAi0vXptyKs0v3V1dX17fnz5/eRs6AkuhqrYWpBCbBalMOGtVxQAsz3etCgQejTpw9ef/11vPbaa+YtKAHgt99Yx3xByeFYN48/DuzebfZjb7/9Nj744AOo1WqMHj1aR7R69wbeeIO535vC1tYWAQEBiI+PlxVf6ezsjM2bN7splUruBsu5Ibi5ub333HPP9ZKzoCQixMfHw9fX1+SCsrgYWLoU+PbblgtKgGnz4MGDoVQqsXz5crz77rvmLSgBICGBxWKNGWPecxwOx3JwcgImTQL27TP70X/961/YuHEjKioqMGrUKB1tBoCvvmKbW/Hxxvuys7NDQECA7NwHrq6u2LBhg5tSqbR6N1irW1QqFIohrq6ur3z44YemV4gAcnNzZcVqAOyU4KuvmBmioKAA2dnZGDZsGEpKSmSPGwD7Evr44+Y9w+FwLI9//IPFR5sKgNSipqYGDQ0N8PPzQ0REhMEvvq+/zkK7Dh823ae58ZXTp0/vNHHixAAHBwczA844HOMoFIphgiAsevfdd2XtmmZnZ6Nr167w9PQ02fbtt4FZs4BRowy3iYiIgLe3N+zt7VHaumK5KXbvZi/gey0cjnXThg3f6upq5OXl4ZFHHsHBgwcNarMgAB9/DLz0EnNuMEbPnj3h7e2Ns2fPyhrDzJkzbcaPHz+uW7dus8wavKXR3v635hgAG1EUz8bFxZnwUmZo6lHKrZE1axbRu+8abzNjxgxau3Yt1dTUUEhIiPyYpoICIicnVgeL0+HhcRu3ALffTnTggKymJSUldPz4cSopKaHo6Gjq3bu33lp8Gg4eJBo4kJXfMoUkSXTixAm6ePGirLGUlpaSp6fnJQBKsoB5nZv1GwA7URRTExMTSQ6VlZUUHBwsK8dBQgIrQVdaariNJEk0YsQIOnToULM25+bmyhoLSRKRjw+RzO8VHOuGa3MHp6qKyNHR+IShRXFxMR0/fpxKS0spKyuLXF1djZYcVKuJRo2SlxpFkiSKjo6WXVu6uLiYPDw8CgG4kQXM620xqzqpNMftVZIkxMfHw9/fH7at/WX0EBzMYjWWLTPcJi0tDZGRkXjmmWdgb2+PwMBAFBYWIjk5WSOshjl0iMVfde1qciwcDscKeOQRWZnm8vPzcebMGYwbNw4uLi4YN24cBg4ciF9//dXgM9OmsUR2rRLS6UWhUOC2227DuXPnUFdXZ7I9d4PlXG/McXuVJAkJCQnw9/fX62KmDRHw2mvAypWAs7Phdn/++ScAYMqUKc3afPHiRaSkpJjW5nPnmMfBbbeZHDuHw7FwHByAO+4Ajh412TQvLw9nz57F+PHj4ezsjL59+2LKlCnYtGmTwWc6dWK6vGwZUFNjvH+NNqekpKC+vt7keDqCG6zVLCrNdXtNT0+HKIpwNqZETRABb70FfPop0K2b4XZff/01nn/+eXRramRra4sxTTEYMTExxn2nDx8Gpk6VM3QOh2MNTJ3KPtcGvrQSEVJSUnDhwgUEBgY2zxsAsGTJEnz11VdGv/B+9RVLCCDHy75z587w8/NDQkKC6S/R4G6wnOuHuW6vqampUCqVcHJyMtn2999ZPKWp0pGffvopli1b1uy2Zmtri7Fjx0KSJMTGxprW5gce4K6vHE5H4YEHjMaPEBGSk5NRUFCAwMBA2NvbN99bunQp1qxZY3SD9o47gMBAYNUq00Pp0qULhgwZIlubZ86caTNhwgSrdYO1ikVlU7bX//3888+unTt3Ntm+rKwMRUVFGDhwoKz+//c/QJJYSIUhSktL8dNPP+HFF19sPTYMHToUHh4eiIyMRG1tre7DKhXw999mZ4rkcDgWzODBbNsyOVnnlkqlQmxsLCRJwtixY3W8JR544AFcuXIFYWFhBrv39WWhm598Im84oiiiW7duOjV1DfHtt986OTo6fqVQKJTy3sDhtKQp2+uen3/+2dXOzs5k+9LSUpSWlsrS5ro64M032amAMWej2NhY5OTkYFYrAVcoFPDz84NSqTSszQDf8OVwOhpTpwJ//sm+2LdCpVIhJiYGADBmzBgdbR4xYgRuu+02/Pjjj0ZfsWoVsG4dSzRrCnd3d3Tt2hW5choD2Lp1q5OTk9NahULhJusBC8IqFpXOzs5vPfXUU7LcXlUqFRITExEQEIBOnUz/eI2NwPLlwGefse+Hhti8eTNmzpwJd3d3vfd79+6NYcOGITo6urnsSDNRUUC/fiwXMYfD6RgoFFdPK7Wora1FVFQURFGEn5+f3qD/Tp06NZ9WGuPdd4EdO4BW9d0NMnToUOTk5ODKlSsm2zo7O2PTpk1uSqXyB3m9czgtcXFx+ffChQtlub2qVCokJSUhICBAVnbWzZsBPz/gnnuMt9uwYQMWL15sMMylT58+8PPzQ3R0NMrLy1verK4GoqNNv4TD4VgPPj6AoyOQmNjicm1tLSIjI+Hh4YGhQ4canIdefvllbNiwwejJYp8+wKJFrLKYHPz8/JCVlYXq6mqTbV1dXbF+/Xo3pVK5Q17vloPFLyoVCoVHjx49Xn///fdlub2mpqbC29vbZIpyDVu3svXe//2f4TYqlQrr16/Ha6+9ZrQvTbxUUlISLly4cPXGsWPAvffKGg+Hw7Ei7ruPfb6bKC8vR3R0NIYOHQpvb2+jj86bNw8RERHIysoy2MbDA1i8GHjvPXnDsbW1hb+/PxITE2W52jz44IOdhg0bNtrGxuZueW/gcBgKhcKrR48eL7/zzjuyxDadrN+NAAAgAElEQVQlJQV9+/Zt4QZuiCtX2An9Rx8Zb1daWorff/8dCxYsMNrO1dUVY8eORWJiIi5evHj1RnQ0MGIEIKOWHIfDsSImTwZCQpr/WVZWhujoaPj5+aF3795GH73//vtRVlbWfKJpiLfeAvbvB1JTTQ/H1tYWI0aMkK3NDz/8sM3gwYMDFQrFRNO9Ww4Wv6h0d3ffsm7dOldtn2dDlJWVoby8HH379pXVd00N8OGHLJbSGIcPH0bv3r3h7+9vss9u3bohMDAQeXl5OHfuHPvjiYxkTtgcDqdjERjIvphKEi5evIjExESMHTsWrq6uJh/t1q0b5syZg23bthlt99Zb7DBUZmZyODs7o2fPnrLdYLdu3eoiCMJ2hUJh2n+Rw2nC3d1928aNG13k1GsuLS1FVVWVyY0WDWvWsO+Epg5Av/vuO0yfPh1ubqa9xLp3747AwEDk5OQgNTWVaXNEBNdmDqcjcvvt7PMN4MKFC0hKSsK4ceNkaXOnTp2waNEibNiwwWg7JydWAkzupq+Liwt69Ogh2w12+/btLkqlcodCoTCdbdRCsOhFpUKhmOjr6zvhoYceMjlOSZKQlJQEf39/2YWPv/0WGD8eGDnSeLstW7ZgoalMAVrY2dlh3LhxUKlUOHXyJOjECfblk8PhdCyUSpCbG7IPHUJOTg4CAwNle0kAwMKFC7Fjxw6jiUQcHZlw/ec/8oc1ePBg5OTkoMZUejoAffv2xcKFCwVXV1cjua85nKvY2Njc7efnN3rq1KkmtVmtVpulzWVlLI7SlFuZJEnYuHEjFi9eLHvcGm1uaGhAXFwcKCyMffnkcDgdi9tvB4WHI/XcOeTl5ekkyzPFggULsHfvXpP16F95hR2IJiTI63fIkCHIysoyHOOthY+PD+bPn690dnZeIq/39sdiF5UKhcJWqVTu2L59u4uc9unp6fD09ISDgywvWdTVscyKK1YYb3fhwgWEh4fj8ccfl9WvBoVCgWHDhsGzpAS1Tk6oM+OLJofDsQ7UajVKBg+G7YkTGDduHOQkK9HGz88P3t7eOHTokNF2ixczL1s5bjYAc7Xx8/NDUlKSLFebt99+u3v37t1fVSgUpivRc25pFAqFnSAI27du3SpLm9PS0uDl5SV7s+Xzz4GZMwFTuXyCg4PRrVs3jB8/Xla/Gjp16oThw4fDpWdPqKOiUGdqV5nD4Vgd6t690ahSgbKy2qTNbm5umD59OnbtMl7do3t3lpfF1FpCg62tLYYOHSpbm9977z0HBweHt6wloZ7FLiqdnZ2XPPXUU8r+/fubbFtZWYlLly5BTlsN27cDAQGmTyl37NiBWbNmmXX6oI1nXh46BQYiOjoaFRUVbeqDw+FYHvX19YiKigLGj4dXfr6sxGD6WLhwIbZs2WK0TY8ewMsvAx9/LL9fQRDQtWtX5Ofnm2zbtWtXrF+/3kWpVG6V/wbOrYirq+uyhQsXCnLCTCoqKlBcXCxbm8vKgE2bgHfeMd12586dmDdvnmzPpNb0q6sDlEpEZ2SgsrKyTX1wOBzLo66uDpFRUWgcPRqDy8vbPEc89dRT2Llzp8l2zz3HTirj4uT1K4oiOnfu3DK+2wD29vZYu3ati1Kp3Cyv9/bFIheVCoVC6eDg8NZ7771n8tiRiJpda+R+qWtoYNleTQkXEWHnzp2YP3++rH71kpSEruPGYfTo0YiPj0dBQUHb++JwOBZBZWUloqKi4OvrC7fJk4HTp9vc16xZsxAWFobi4mKj7V5+GfjjD+D8efl9+/n5ISMjAw0NDSbbTp8+vdPQoUPH2dra3iX/DZxbCYVC4eng4PDK22+/bXKXVVub5X6p++YbYMYMllnRGDU1Ndi7dy9mz76GMqtJSbAdNQqjRo1CXFwcCgsL294Xh8OxCCoqKhAVFYXBgweje2AgkJTU5r4mT56MgoICpKSkGG3XpQsLUTGVn0UbPz8/pKWlydLmGTNm2AwcOHCiQqGw+Dg6i1xUKpXKzWvXrnWR4/+cm5sLJycn9OzZU3b/u3YBgwYB48YZb5eYmIiGhgaMM9XQGKdPAyNGwMHBAYGBgcjKykJ6erqsY28Oh2N5XLp0CXFxcRg1ahREUQSGDQNSUgC1uk39de/eHffffz9+++03o+2cnIAXXjBPuOzs7ODr62tSFDVs27bNxc3NbQdP2sPRh1Kp3Lp+/XrXrl27mmybk5MDFxcXODo6yuq7upotKpfJiOzdv38/xo4dCw8PD1l96yUpCRgxAj169EBgYCAyMzORkZHBtZnDsVIKCgoQHx+PMWPGQBAElunrGhaVNjY2mD17tkkXWICdVgYFAWlp8vru3LkzBgwYgHPnzplsq1AosGPHDhdRFL9XKBQ28t7QPljcolKhUAQOHDhw4owZM0z+4hoaGnD+/HkMGjRIdv9EwFdfAUuXmm67e/duzJo1q81H5yBif9DDhwNgf0Tjx49HTU0NEhISIOkpzMrhcCwTImr+4hkYGIgemjIEPXoASiWQkdHmvh9//HHs3r3bZLuXXwZ+/RUoKpLft6enJ6qrq3Xr5+qhX79+eOaZZ0RnZ+c35L+Bcytga2t7p5+f37hp06aZ/N5QX1+PrKwss7R561aWiHXwYNNtd+3ahblz58ruWy9Ni0qAafOECRNw5coVJCYmcm3mcKwIIkJ6ejqysrIQGBh4NbfKNS4qAWDu3LnYtWuXyTnBwQF48UXmBSkXLy8vVFVV6dbP1cOAAQMwb948dycnp1flv+HmY1GLSoVCoVAqlVu2bt3qImchl5KSgoEDB5oVgHv0KNCpk+lax0SE3bt3m52gpwUXLgBduwKC0HypU6dOGDFiBHr27ImoqCjU19e3vX8Oh3NTkCQJiYmJqKqqwoQJE9C5c+eWDYYPvyYX2KlTpyIuLg6XLl0y2k4UgUcfZXFnclEoFBg+fDjOnDkj6xRmxYoV3bt3775EoVA4yX8LpyOjUCgUbm5u327evFlWcp6UlBT4+vrC1lZeJvyGBuDLL4F//9t024qKCoSGhmLGjBmy+jbI2bOAn1/zPzt16gR/f3/06NEDUVFRstzSOBxO+yJJEhISElBTU4Px48e31GZvbxaofQ35TEaMGIFu3brh1KlTJtu+/DLw+++AjDQGAMzX5pUrVzp069ZtmUKhkOf+0Q5Y1KKyc+fOM//v//7PU87uZnl5Oa5cuYJevXqZ9Y7Vq4HXXgNMrVnj4uJgY2ODgIAAs/pvQWam3hR2CoUCPj4+GDBgAKKioniSAA7HgmloaEB0dDQcHBwMx24PHGhesGMr7O3tMW3aNJMusACbvzZsAMzZj+rRowdcXFyQk5MjayzvvPOOkyiKJoo6cG4Vunbt+tjUqVPdBwwYYLJtWVkZampq4OkpP5Hwnj1A//7A6NGm2x4+fBgTJ0686inQFhoagMJC9qVTC4VCgf79+6N///6IjIxEVVVV29/B4XBuKJpkeY6OjhgxYoSuNnfqBPTrB2RlXdN7Zs6cib1795ps5+oKzJ0LrF8vv29HR0c4OTkhLy/PZNvu3btj+fLlPQVBeFf+G24uFrOoVCgUNk5OTqs/++wzk7vjRIQzZ85g+PDhZrmmpqQA8fGAnNj+P/74Aw899FDbXV8B9odsJEOeUqnEyJEjZZ1QcCwPIoJKpUJDQwNqa2tRXV2NqqoqVFZWQq1Wo7q6GrW1taivr0djYyOP1bFCqqqqEBkZ2bwJZHA+6Nv3moXroYcewh9//GGy3bBh7GD055/N63/QoEHIysqSdQKzYMGCzt27d5+tUCiuIWiN0xFQKBS2PXv2/OKTTz4xmbigrdr8zTes3psc9u7di5kzZ8ruWy95eYCnJ2DgJNXd3R0jR47EqVOncPny5Wt7F+emw7W546NJljdgwAD079/f8HzTrx+QnX1N75K7qASYC+y2baxsoVwGDRqEzMxMWdr83HPPdbG3t3/KUkuMyPNNuQk4ODgseOKJJ1zknDzm5+ejZ8+eshMAaFizhiW6kJFjAIcOHcJHH31kVv86ZGezP2gjODo6YsKECYiNjUV1dTX69et3bQtZznVBkiTU1taipqYGNTU1qK6uRk1NDRoaGlp88G1sbGBjY4NOnTq1sPr6epw9exZEBLVaDUmSWhS4t7W1RZcuXWBvb49u3bqhe/fu6NatG7p16wYbG4uOw75luHz5MpKTkzFy5EjTc02/fiw16zVw77334tlnn0VtbS3s7e2Ntl2yhLkKzptn2utCg62tLQYOHIhz585hRFMsmbG2n3/+ufOLL774JYBrSLHJsXYcHR2fnzt3rou7u7vJtrm5uXBxcTHrFDEujrmLPfig6bb19fX4888/8fXXX8vuXy/Z2UY3fIGr2hwTE9OszZz2R1ubNbpcU1PTvEDUYEqbJUlqNm1ttrOzQ+fOnbk2WzBmafN12PAdM2YMysrKkJaWBl9fX6NtfX2BUaPYpq/cwhF2dnYYMGAAUlNTMbwpB4uxtp9++qnzkiVLVgF4St4bbh4KS9ihUSgUXZVK5fmUlBQPZ2dno23VajVCQ0Nx++2368Y1GaGqiqUpT04GTCWMKyoqwoABA3D58mV06dJF9jt0mD8fuPNOYMECk03VajUSExNhY2OD4cOHt7nmHcd8GhoaUFFRgYqKClRWVqKqqgpEBHt7+2ZB0fxvly5dYGdnZ3LhHxwcjEmTJum9p9lFra+v1yuOarUaDg4OcHR0RM+ePdGzZ0907dqVbzbcRLKysnDhwgWMGTNG3hxw9izw2GPMHeIauPPOO7F8+XJMmTLFaDtJYuL144+ms1hrQ0QIDw/HbbfdZvKLPxFh+PDhJWfPnp1AROny38LpKCgUCnt3d/fz586dczeVYV2lUiEsLAx33HGHWXkOnn6aJeeRk/X1yJEjeO+991h92Gth+3YgNBT47juTTdVqNRISEmBnZ4dhw4Zxbb6JaGtzRUVFszuyZpGnveC70dpcXV0NIkL37t25Nrcj58+fx8WLF+Vr85dfMs+Ea9yIWrRoEQYOHIg33jCdw+7QIVayMDZW/qYvESEsLAyjRo1C9+7GKzZJkoShQ4cWp6amjiOitsfd3AAs4qTS2dl5yYsvvtjT1IISADIzM9G7d2+zFpQAsHs3MGmS6QUlAPz111+YPHnytS0oAZaoR2ZciSZ+MyMjA9HR0Rg9erTZPyNHHjU1NSgpKUFJSQnKy8tha2vbLBD9+/eHg4PDDd2RVCgUsLOzg52d3dUsZVoQEaqrq1FRUYHS0lJkZWWhrq4OPXr0gKurK1xdXdGjRw8uZDcASZJw9uxZNDQ0YMKECfL/Dnr1Yp/3a+SBBx7AoUOHTC4qO3UCnnmGZcw0Z1GpUCgwdOhQJCcnmyyVpFAosG7dOtfZs2d/A+B++W/hdBRcXFyWvvbaaz3llOzKzMyEt7e3WQvK4mJg7175iZP//vtv3H//dfhTLCpiWa9kYGNjg5EjRyI9PR0nTpzA6NGjzfoZOfLRp81OTk5wdHTEgAED0KNHjxu6qJejzVf+n70zD2+rvPL/99ViybIsyZYlWZYdL/Ea77ulOA5hCYQ9ELayhSWUrdCZMiUUKF2mhe60040u0CnTdijT8ivQoVMKLQmRvDu24zVOYsf7Gu+r5Pv746KUBMf3SnqvJCf38zz8d/WeSyy95z3vOed7ZmcxPT19hm/WaDTQ6/Wns/Sib6bP6uoqmpub4XK5PPPNRiNbDuEjl112GX7xi1/wCiqvuIIt53c4ABvPyZKEEGRkZKC1tRXFxcXrPiuRSPD9739fv3fv3h8AuJqfBf8Q8KCSEKKNiYn57Oc+9znOoZRLS0sYGBjAtm3bPLbzi1+wNwd8+L//+z/OQx0vxseBqCjejxNCkJKSArVaDbvdjqKiojU3NhHPcLlcGBsbw/DwMMbHx6FUKqHX6xEXF4fs7OygK2khhECtVkOtVp8WomIYBtPT0xgfH0dHRwdmZ2eh0WhgMplgNBrFCwgKrKysoLa2Fnq9HllZWZ4dDLRaYGGBFQDx4W+xa9cu3HTTTbye3bsX2LKFHZHkiWaJXq/HsWPHMDY2hiiO/WnHjh1ITEwsJIQUMgzDLX8nct5ACImwWCyPPP744+vXYgNYXFzE4OAgKioqPLLxn/8JXHstK3DBh/fee8/30leA9c18jYLdk1NTUzEwMHDaN3NlE0S4cfvmoaEhTExMIDQ0FHq9Hps2bQpa3xweHo7w8HBO3xwdHQ2j0SheQFBgZWUFNTU1MBgM62sbrIVez/7efWTHjh245557sLy8zHnekkjYVruf/Yx/UAkABoMBx48fx8TEBCIj1xfa3rlzJ4mLiysjhOQwDOPb3BSKBDyoNBqNzz399NM6lYozpkRHRwdSUlI83miam9meDb4XnAcOHMCzfCPQ9fDQcbkxm81QqVSora1FVlYW58FP5JOsrKxgYGAAQ0NDWFhYQFRUFMxm84YtXyKEnM6mJiUlgWEYTE1NYXh4GFVVVSCEIDo6GjExMeDzWxI5k7m5OdTW1iIlJcUj1crTEAJERAATEwCP3rNzkZ2djfHxcQwNDYGrh81sBrZvB37/ezZr6QlbtmxBQ0MDysvLOR30j370I/2VV175UwDrX5+KnFcYjcavPPfcc1olDxGC9vZ2pKamerS3Mgzwyiv8lRInJiZw9OhRzgw7L8bH2fpxD3Hvr9XV1cjOzhZ9sxcsLy9jcHDwDN9ssVg2bNvPuXzz0NAQjh07BqlUCpPJBIvFwtkrL/JJZmdnUVtbi7S0NJj5lBqeDaWgMjIyEqmpqaiqquKV2LrzTiAtjW298+TSd8uWLWhsbMTWrVvX9c2EEPzwhz/UX3fddS8BsPK3ICwBDSoJIYb4+Pg79+3bx3m1PzMzg6mpKc4m1rV4+WX2Vp/PyKyenh4sLi4iZY1RIB7jZVAJAFqtFmVlZaipqcGmTZsQf5b0ucgncblcGB4eRl9fHxYWFhATE4PMzMzzMttLCIFOp4NOp0NaWhoWFxcxPDyMhoYGAIDFYkFMTIyYweTB+Pg4mpqakJ+fD53Oh9GMbuflQ1ApkUiwdetWHDx4kFfG8v77ga9/3fOgUq1WQ6fTob+/H7Gxses+m5+fj6KioiRCyEUMw/zDM0siGxFCSHRiYuKt99xzD+cGMj09jdnZWeTm5npko7aWTe7zTW7+/e9/R3l5OZ09bXwc4MgEnAudToeysjLU1taKvpknLpcLQ0ND6Ovrw+Li4gXjm9PT07G4uIihoSHUf1SCKfpm/oyNjaG5udk33xwVRSWoBIBLLrkE7733Hq+g0mhkL31ff52XrMpp3JnwgYEBzpGJJSUlyMnJSSWElDMM8yF/K8IR0Gshg8Hw9HPPPaflUx7Q3t6OjIwMj2vVXS62n/LOO/k9f+DAAVRUVPheE7+6CszNeXZFcRZKpRI2mw2jo6O8h6NeiExNTaGxsREHDhzA5OQk0tPTsX379tOlxBcCSqUS8fHx2Lp1KwoKCuB0OlFZWYmqqiqMjIyI351zcPLkSbS2tqKsrMy3gBJgS2ApzJytqKjAgQMHeD17+eXA0aPeidulpqaiq6sLq6urnM9+4xvfiDSbzd/x3IrIRsRoNH7xK1/5SoSMx01se3s7tmzZ4rHPfOUV9rKX78cOHTrkVevLmszNAT74htDQUFitVoyMjJxW+Rb5JJOTkzh8+DAOHDiAqakpZGRkXJC+OSEh4RO+ubq6GqOjo+J35xz09PSgra0NVqvVN98cFgbMz1N5p4qKChw6dIj38/fcw+5znpKWloajR4/y8s3f+ta3IqOjo4PGNwcsqCSEaBQKxafuuOMOzohyamoKKysrXpWaHDjAJg7S0vg9f/DgQY/7QtZkZYXtrfIxOJVKpSgsLIRMJkN1dfUZktkXMi6XC319ffjwww/R3t4Os9mMiy66CFu2bPF41Mz5RmhoKJKTk1FRUYH09HQMDg7igw8+4D0H6UKAYRi0tLRgeHgYVquVTllSSAj7u/eRiooKfPDBB7yelctZ0dnXXvPcjkKhgMlk4jV0ecuWLcjIyIgnhPAYTy+ykSGE6BQKxZ5bb72Vs89kcnISq6urnP0/Z7O4yH5n7/ZAEL+6uppO6Svgc+8zwI7dKSoqgkQiQXV19RljKS5kXC4Xent7cfDgQXR2dsJisYi++SM+7ptTU1PR399/2jeLZzsW96zbkZER2Gw28Cm/X5eQEPb3ToHi4mLU1NTwCvYA4Mor2Uvfox5qpyuVShgMBvT19XE+m5OTg5SUlCRCSL5nVoQhYEFlZGTkv3zuc5/T8M1Spqene2Xnd78Dbr2V//PUHBcFp+WGEIL09HTExsbCbrdjntKty0ZkeXkZHR0dOHDgAGZmZlBYWIjS0lIYjUZRcW0NtFotcnNzT9fn2+12NDY2Ym5uLtCvFjCcTidqamogkUhQVFQEPtkYXlByXnl5eejq6uL9O7/1Vnaf84bNmzfj+PHjvJzk888/rzebzd/2zpLIRkGv1//bk08+qeGbpUzje2P7Mf78ZyAvjx3zxYeVlRUcPnwYRUWU7jTcl74+4lZsjImJEX3zx3zz3NwcioqKUFJSAoPBIPrmNdDpdMjLy8PWrVsBsJn4pqamC/o7tLKygurq6tMXNlSEmigGlUajEREREejs7OT1vFwO3HYbO/rLU5KTkz3xzVHR0dHf9NwKfQISVBJClAqF4sEHHniAc2bH5OQkGIbx+CYUYL9Hf/wjcMst/J5fWlriNXyUt3HKql8WiwU5OTmoqqrCxMQE1bWDncXFRbS0tODQoUNQKBSoqKhARkaG2PjOE7lcjqSkJGzfvh0mkwn19fWoq6vDNIVyzY3EwsIC7HY7zGazV+X06yKXU3FeISEhSE9PR3NzM6/nt21jRzO0tnpny2w24+TJk5zPlpSUwGKxZBJCvLvhEwl6CCEqhUJx33333cfpm0+dOgVCCPiMAjub118Hbr6Z//NHjhxBfHw8vUwXZf8cFxeHrKysC9o32+320745PT1d9M08kcvl2Lx5M7Zv3w6DwYC6ujrU19efnsl5oTA/Pw+73Q6LxYL09HR6vpmSX3ZTWlqK6upq3s/ffDO733mKJ5VEW7duRXR0dB4hhIIYjG8EJKgMDw/f98ADD2j4qFR6exMKAH/7GyvwxrePvrW1FZs3b6azGTKMz6WvaxEREYGysjIcOXKE15dto7O0tITm5mZUVVVBo9Fg+/btSEhICDqp8Y2CWyW2vLwcmzZtwpEjR1BdXX1BOLBTp06hsrISWVlZiIuLo29AImF7qSmQn59/WnSJj9lbbvGuBBZgs5UnTpyAy+XifPb555+PMpvNL3hnSSTY0el0Dz/88MMavoqv3lQQLSwAf/kLsHs3/8/U1tbSy1ICgvjnyMhIlJaWorm5mVfZ2kZncXERTU1NqKqqglarRUVFheibfYAQArPZjPLycsTFxaG5uRk1NTUXhG+emJhAVVUVsrOzOYXjPIYQ9vdOCXcJLF9KS1mpBW8ufT2pJPra176mj46O/rrnVuji96CSECJTqVRPfvazn+WMKCcmJry+CQWAP/0JuOEG/s83NDQgP59SWbJSCSwt0VnrLEJDQ2Gz2TA4OIjW1tbzstHb6XSio6MDDocDkZGRqKioQFxc3IaUHA9GCCEwGAyw2WxITk5GY2MjDh8+jIWFhUC/miD09fWhqakJpaWlXlU98GJxEaB0O+9JUAmwB/Q33/TOllwuh8ViQU9PD+ezl1xyCXQ63VZCCM/CRZGNAiFErlQq/+Uzn/kM55d4fHwcUqkUWq3WYzvvvAMUFrLqiHxpaWmhU0HkRiD/rFKpYLPZ0N/fj/b29vPWN7e3t6OyshJ6vR4VFRWIjY0VfTMlPu6bk5KS0NjYiMbGRiwuLgb61QSht7cXR44cQVlZmTC+eWmJ/b1TIisrC60eRIgSCat74E22MiQkBDExMbx8865du4hGo7mIELK+ZKzA+H0XUCqVt91yyy0aPmpOR48e9TpLyTDA228D11zD/zNNTU3Iycnxyt4nUCrZQ6ZAyGQyFBezY+NqamrOG5GA1dVVdHd34+DBg5DL5aioqIDFYhF7MgQkMjISW7duhclkQlVVFVpbW88b0QCGYdDe3o7+/n7YbDZhZ3guLlJzXrm5uWhq4j/P2GoFenvZ/7whMTERPT09nDeihBB89atfjYyOjv6Kd5ZEgpWwsLC77rjjDg2fEtPOzk6vffPrrwM8puWcQWtrK7Zs2eKVvTVRKtmUqQDI5XKUlJTA5XKhtrb2vPLNJ06cwMGDB0+XuYq+WVj0ej22bt0Kg8GAyspKtLW1nVe+ua2tDQMDA7DZbMKVSy8sULvsBVjROk+CSoDd77wJKgEgKSkJ3d3dvHzzl7/85Qij0ficd5bo4NegkhBCtFrtl5966inOORvT09NYXV31Wkq4oYFVEvbE73V1dXntKD+BTMZGtgI6FEIItmzZgujoaNjt9g2fZZqYmMCHH36I+fl5lJeXIykpSbz99BPu0puKigqoVCp8+OGH6O/v39A37S6XC3V1dXA6nSgpKQEfUTCfWFwEFJytaLxwj/vgi0wG7NrFCqB4g1wuR3R0NK+yvd27d0tCQ0OvJIQYvLMmEmwQQiRqtfrZz3/+85xzHqampk4PfPcUp5Mtfb3uOs8+19bWRj+oFPDSlxCCzMxMGI1GOByODZ9lmpiYwMGDB7G4uIjy8nIkJiaKvtlPEEIQExODiooKKJVKfPjhhxgYGNjQvtnpdKK2tharq6soKSmhJ5a3FhQvewEgNjYWc3NzOHXqFO/PlJWxugfejP6Sy+UwmUzo7+/nfPamm26SKpXK3YQQveeW6ODXXUEikVyxc+fOiGgew8G7urqQnJzsta233vIsS+m2uXnzZq9tfgK1GvBDPfymTZuQmZmJyspKTE5OCm6PNsvLy2hsbER7ezvy8/OxZcsW4QMAkTWRSCSnZw/NW0sAACAASURBVGqNjo6isrISs7OzgX4tj1lcXITdbofBYEBWVpZ/btNnZnyaffdxjEYjFhcXMTU1xfsz11zD7nvekpSUhOPHj3MeViQSCZ555pkIg8HwpPfWRIIJmUx2zVVXXaUzGLjvCbq6upCS4p0ehMMBJCYCZjP/z0xPT2NiYgKb+ErF8kGtpjJTlov4+HhkZGTA4XBsWN98+PBhdHR0oLCwEBkZGaJvDhASiQSJiYmw2WwYHh5GVVXVhlRxd4vlmUwmZGZmCu+bKfpl4J+Kz56WwF5+OVv67w18fbNUKsVTTz2liYqKesI7S77j16AyOjr6S0899RRn6nF+fh5zc3NezaV08+c/A1ddxf95l8uF7u5uJCUleW3zExgMwOgovfXWQa/Xo6SkBI2NjRgYGPCLTRr09/fj0KFD0Ov1sFqtCA/nTGKL+IGQkBDk5eUhLS0NdXV16Ojo4D2bKdBMTU3B4XAgIyMD8XxVumgwOsr+5ilACMHmzZtx7Ngx3p+5/HLg4EHvq/oUCgUiIyMxNDTE+eztt98uk8lkdxBC6MxNEgkoRqPxuf3793OmHufm5rCwsOB179M777AZdU84fvw4/aoVo9FvvjkqKgrFxcU4fPjwhvHNDMOgr68Phw4dgsFgQFlZGdQUD+Yi3qNQKJCfn4+UlBTU1tais7Nzw/jmyclJVFZWIjMzk+4l0XqMjHjWwM0D97gPT9i1y/ugUqlUQqfTYXh4mPPZu+++O0Qqle4lhATk9sdvQSUhJMlsNidlZGRwPnvs2DFs3rzZ6xuMqSmgrQ34aPwPL3p7exEVFUW3rtuPjgsAwsLCYLPZcPLkSXR0dAR1ecTy8jJqa2sxPDyM8vJyxMbGir0ZQUhkZCS2bdsGgJ2jFexKdIODg2hoaEBxcbFPl1Ies7wMzM4CXoqKrUVycjKOejA1WasFsrLYbJAvNru6ujj3DoVCgVtvvVWlUCg8kEITCUYIIalxcXFxfLKPvvpmb4LK3t5e+mrNRiN72PQTarUaW7duRU9PDzo7O4PaNy8tLaG2thajo6MoLy8X+yaDFL1ej23btoFhGBw6dCjoK4oGBgbQ2NiIkpIS6PV+rM4UIKiMi4vzePrCzp3ABx94X3XP95I5NDQUe/bsUclksmu9s+QbfgsqTSbTE08++STn9eby8jLGx8dh9qQ+5iwOHmRlfD1pb+rv76fvuAwGvzou4J8iAcvLy6ivr+c1JsDfDA8P49ChQ4iJiUFBQYFYThPkSCQSpKWlITs7G/X19Th27FjQHYoYhsHRo0dx4sQJ2Gw2/9+qj40BUVFsnQslYmNjefVRfJwdO4C//917myqVCiqVCuPj45zPPvbYY+GRkZFPe29NJBgwmUyf379/P6dvXlpawsTEBPi0r6zF4CDQ08P2F3mCIEGlyRQQ31xaWoqFhQU0NDQEpW8eGhqC3W5HbGws8vPzRd8c5Lh9c1ZWFmpra3mVSPobhmHQ0dGBnp4e2Gw2hIWF+fcFRkbY3ztFvAkqIyPZS98DB7yzqVarERISwmsO7mc/+1mNwWB4xjtLvuGXoJIQopRKpTdef/31nPa6u7uRkJDg083YP/4BXHSRZ58ZHh6GifIXD9HRrCf1MxKJBNnZ2dDr9UElEuByudDY2Iju7m5YrVbExMQE+pVEPECn06G8vByLi4tB971qaGjA/Pw8ysrKEBISgIrMoSHqjstkMvEqd/k4F13E7n++kJyczOtGNCEhAcnJydGEkEzfLIoECkKISiaTXXv11Vfz8s2JiYle++b33gMuvpgVlfKE3t5e+qVyMTHeSyX7gEQiQW5uLnQ6HRwOB5YEGjvmKW7ffPLkSdhsNp8u9UX8T0REBLZt24b5+XlUVlYG1feqvr4eS0tLKC0tDcwlRV+fZ03cPNi0aRNOnjzp8ecuvxx4913v7aakpPAS8EtOTkZ8fHwsIcTzQcI+4pegUqVS3Xr33XeHcX2hVldX0d/f7/Pw07//PUiCyqQkwMO6a5okJCQgLS0NlZWVmPaDKMF6zM/Pw263Izw8HCUlJeAzXFsk+JBKpcjMzERycjIcDgevjJaQLC0tobKyEjqdDrm5uYFTJDx2DKAp8gXvgkqbjVW+np/33q5Wq4XT6eQlArF//3692Wx+yntrIoFEpVLdcf/994dxqS+urq5iYGDAJ9984ACwfbvnnxsYGKB/AZmcDHigrkybpKQkpKamwuFwBNw3z83N4dChQ9BoNCguLoaCkoK1iH+RSqXIyspCUlIS7HY7r4yWkCwtLZ2eM56TkxM433z0KOClsNi5sFgsHlcRAez+d/Cg93Z1Oh2Wl5d5TXrYv3+/3mQyfd57a97hl7+yVqvd/8gjj3DmvIeGhmA0Gn2SF56cBDo7gY9GOPJmZGSEflAZYMcFAAaDAYWFhaivr+clwCEEQ0NDqK6uRmZmJpKSksT+jPMAo9GIsrIytLW18erBE4Lp6Wk4HA6kpKTQFdjyhq4u6kGl0Wj0OKgMCwNyc4FDh3yznZiYiO7ubs7nrrjiCiKTyXYSQkSFrQ0GIYRoNJp/e/DBBzmHtw4MDMBkMkEqlXpt78ABoKLC88+dOnWK/lD0pCQ2UxnAmX9Go/G0b/b0d06LwcFB1NTUIDs726cstEjwYDKZUFpaipaWloC1qkxPT8NutyM1NRWJiYl+t38GXV3sWZwikZGRXqk5l5YCzc2s/IK3JCQk4ASP2SRXX301kclkVxNC/FpvLHhQSQgpyMrK0lssFs5nT5w4gYSEBJ/sVVcDBQWej4sbGxujL+wRBEElAISHh8Nms+H48eN+DQDcw23dfW7UDwYiASU0NBQ2mw0LCwuoqanx65Dv4eFh1NfXo6CgAEbKTfheIYDjioqK8ioTvHUrUFnpm+3o6GiMjIxw/k0lEgkeeughdXh4+F7fLIoEgOKCggJeI77cbSneMjzM/peV5flnJycnvZ5XfU5CQgCLBeBxcSIk4eHhsFqt6Orq8msAwDAMWltbT/e5RVAUGBMJPCqVClu3bsXc3Bxqa2v96puHhoZQX1+PoqKiwPvm1VW2ioiyb9bpdF4FlaGhQH6+b/45JiYGw8PDnD3ZUqkU+/btCwsLC7vTe2ueI3hQGRMT84X9+/dzRmtTU1OQyWQ+N/HW1HiepQTY8kzqDcTJyWz5awBvQ92EhISgrKwMs7OzOHz4sOAS1O7B86urq4HrcxMRHHf/rtlsht1u51WW4QsMw+DYsWPo6uqC1WqFRqMR1B5v2tupl9iEhYVh3os61uJidh/0BYlEgpiYGF4lPvv27QsNCwv7VyKmOTYUMTExz+zfv59ThnFychIhISFQqTgTmufk4EH2ssObRKcgQSUApKWxMvEBRqFQwGq1Ynp6Go2NjYL7ZqfTiZqPNojS0lLRN5+nSCQS5OTkwGQy+UUDgWGY05cjNpstOMbD9faysuiU30Wj0WB2dtar32pFhfdiPQD7dzWbzbx884MPPqgKDw9/wp++WdCgkhCiDQkJqdixYwfnsydOnKCSJvclqPTFaa5JWBiwaVNQOC7gnyIBGo0GDocDy8vLgthx19JHRUX5Z7itSMCJi4tDZmYmKisrMTU1JYiN1dVVNDU1YXp6GlarNXh6f1wuoLGRvYKkiEql8imo9DXpkZCQgO7ubs7sSVRUFGw2mwaAB0OcRAIJISRSqVSWlZeXcz5LwzdXVQFWq3efnZychFbLOULTc/Lzgfp6+ut6gUQiQV5eHtRqNSorKwXzzW6RtejoaGzZskX0zRcAmzZtQkZGhqDaGqurq2hsbMTs7CysVmvwXFTU1bGli5SRSCQICwvz6t/TZmP3Q1+Ij4/n5ZtNJhOKiop0AEp9s8gfQYNKlUp16759+9RcG9fKygomJydhoDA4vLY2iIJKgP1CB4njAv45VD05ORl2u5363MGZmRk4HA6kpqb6XMossrHQ6/UoLi5GQ0MD9f7d5eVlVFZWQqVSIS8vL3BN/2vR2ckqv1LOpnibqYyPB5xOwNc56wqFAmq1mpfgw2OPPRZpsVg+65tFEX+hVqtvf/DBB8O5fPPy8jKmpqZ8bg2prwcKC7377NLSkjDCboWF7KEzSCCEIDk5GYmJibDb7dTnDk5PT6OyshIZGRn+GzwvEhRERUWhqKhIkP7d5eVlOBwOhIeHB1Ysby3q6rzfeDhQKBReqey6QwJfLn1DQ0OhUql4leA+/vjj+piYmMe8t+YZgv71dTrdI3feeWco13P9/f1UBuwODwMLC4A3l6oLCwvCOa4gCirdmEwmFBQUoK6uDiOU5nVNTk6itrY2ePrcRPyOWq2GzWZDV1cX+vr6qKw5OzsLu92OxMREpKSkBN/tui8n5nUIDQ31KqgkhL1Yq631/R3i4+N5Sadv27YNACoIIaKs8wYgPDz8oTvuuIPzb9XX14e4uDiffnMMw/5EvE3ku1wunwSCzkmQBZVuzGYz8vPzUVNTg9HRUSprnjp1CnV1dSgsLKSvHSGyIVCr1bBarejs7PRKuXQtZmZmYLfbsXnzZmzevDn4fLOAQaVUKvVq1qzZzLYB+Pon4DvW5KNK0UsIIX5JHwsWVBJCNhmNxmg+Q4tpDTdubQUyM9lDVdBQXAw4HIF+izXRaDSnNxk+alLrMT4+jsOHD6OkpCR4+txEAoK7f/fkyZO8FETXY3R0FLW1tcjPzw/e2WmVlUBREfVlGYbx2klnZtKputfr9ZiamuIl2LNnzx6lRCK50nerIkJCCEmKjY2N4vN76uvr83nEV3c3oFJ5P8bV5XL5pAh/TuLj2dL1nh76a/uIVquF1WpFR0eHz3vo2NgYGhsbUVpaGhx9biIBQ6FQoKysDN3d3ejx8Xs/MjKCuro6FBQUgI/Yl99xuVjlTm9KF3kgk8m8CioJoVN5bzAYMDExwembpVIprrvuOqVEIrncN4v8ECyojIyMvPfhhx/mlBSbnp5GSEgIlSxhWxuQ7uWoT2+/IJyUlrIiHgL1mfmKWyRgYmICTU1NXjUej4yM4MiRIygtLaUvdiSyIZHJZCgtLcXw8DCOHTvm1Rrd3d1ob29HWVmZMD1VtHj/fXaqO2V8OUynp9MJKgkhvAV77r///nCz2SyWwAY5kZGR9z388MOcUtxTU1NQKpU+9y43NPjWbixYppIQYMcOdrB1EKJUKmG1WjE2Nobm5mavlGGHh4fR0tKCsrIyYdp7RDYccrkcZWVlGBwcxHEv56ifOHECnZ2dwSWWdzaHDwPR0WxqUACkUqnXqro0uuIIITCbzRgcHOR8dt++fRp/+WbBgsqQkJC9N910E+eJ6OTJk9Tq+9vbgYwM7z7ryxdkXRQKNrD0Re5JYKRSKQoKCqBUKlFVVYUVD9RqR0ZGTh/8Q0M5K51FLiCkUimKi4tx6tQpHD16lPfnGIbBkSNHMDY2BpvNJkxZOi2Gh9nmRcoiPQCr0ujtYTojg90PaRAXF4fe3l7O57KysqBUKtMJIeJ8giCFEELkcvmdN954I+cXq6enB/Hx8T7bbG9nM+feIpPJPPJJHnHxxeylUJAilUpRWFiIkJAQj33z8PAwOjo6YLVag3sPFfE7UqkUJSUlGB8fR5cHY+/cYnkTExPBJZa3FgJd9rpZWVmBXC736rNbtgAdHb6/A98S2Ly8PISEhGQTQgS/ARAkqCSE5GRlZYVxyYCvrq5idHQUJm/rYs7C10yloI7rvfeEWZsShBCkpqYiPj4edrsdc3NznJ8ZHx9HW1sbSktLg3tzEQkYEokEBQUFOHXqFK8S65WVFVRVVUEul6OwsFCYDAVN/v53ViNcgPf0Jah0T0ugMfYuNDQUUqmUl6jXfffdF65SqW713aqIQBQUFhaGcpVBulwujI+PUxHP6+z0bdqOt4JVvHD75gAMiOcLIQRpaWmIi4vj7ZvHxsZOX/YGjRKnSFAhkUhQWFiI8fFxXiXWbt+sVCpRUFAQ/L5Z4KDSlzGEKSnsvugrKpUKhBDOPYEQgr1794YplcqbfLe6PoIElSaT6aGHH36Yc/7V0NAQjEYjNbWoo0eB1FTvPhseHk5dbe00O3cC77wT1I7LTUxMDHJzc1FdXY2xsbFzPnfq1Ck0NzejpKREDChF1sXtvIaGhta9VZufn4fdbkdcXBzS0tKCr+l/Lf73f4HLLhNk6ZmZGa9Li/R6dr47LaE/voI9d955p1Kr1T5Cx6oIbUwm08MPP/wwp1LL0NAQTCYTFd/c2em9XwbYgxOfQMorNm9mq4mam4VZnyIWiwU5OTmorq7G+Pj4OZ+bmJg43Y4iBpQi6yGRSFBUVISBgYF1q1Hm5uZgt9sRHx+P1NTU4PfNc3PAoUNsebtgJua8Lil3B5U0QgK+2cq7775bFRkZ+RnfLa4P9aCSECIFcP2VV17J+a3r7+/3WQTAjcvFVqF5q/cTGRmJU6dOUXmXT1BYCMzPB828Si50Oh3KysrQ1ta2ZjO3e0hzSUmJWPIqwgt3KWxvby8G1ph1MT4+jqqqKuTk5MBisQTgDb1gZQX485+B668XZPmJiQlERnK2vp2TTZvY2c80MJlMGBkZ4ezrio2NhdlsNhJCfK+bFKEKIURGCLlq586dnM/SEOhx42tQGRYWJlxQSQiwezfwxz8Ksz5lIiIiUFZWhpaWljUPklNTU2hqakJJSYlY8irCC3cpbE9Pz5r9eWNjY6iurkZubi5iYmIC8IZe8Je/AGVlQIQwnRgrKytYXV31+tImIgIIDQVoTF4zm80YGhri9M3x8fGIioqKIYQIesASIlNZcemllyq4slcrKyuYm5uj1uQ7NARERrK3894QERHBax6bVxDCHjzfeEOY9QUgNDQUVqsVIyMjaGlpOf2FXVhYOC1NLjb+i3iCTCZDSUkJurq6zrhp7+3tPS0mESGQExCEDz5gMx2UDt9nc+rUKZ/+PeLiAEpTXSCVSqHVanldvD300EMRERER99KxLEKRi3ft2qXg6gNaWVnB4uIiFd986hSwtOS98ivAqpRPCSl0t3v3hvPNNpsNQ0NDaG1tPcM319fXo6ioSPTNIh7hFtbr7Ow84xzc09OD1tZWlJWVgaudLah44w32dy0Q09PT0Gg0PmVsaZXASqVSaDQaXjMrH3roIZ1Wq93ru9VzQz2ojImJeeDee+/lPAkNDQ3BbDZTS6P39nqfpQTYTKVgQSWwoW5D3chkMhQVFUEqlaK6uhqLi4uoqalBTk6OKE0u4hVyuRzFxcVoamrCzMwMWltbMTg4CJvNtvGy3gI7rvHxcZ8ylXFx9DKVAJuF5DN7dM+ePTKFQnE7PcsiNLBYLA/cc889nCfDwcFBauN7envZjLkvbj46Opr6wPYzsFrZW2kPBEsCjUwmQ/FHoxJqampO++bc3Fyo1eoAv53IRsTtmxsbGzE7O4uWlhaMjIxsPN+8tMRWEF13nWAmhoaGfB6jsmkTvUtfi8XCS6H95ptvlqtUqrvoWF0bqkElIYS4XK6LPhqEvS79/f1Uy9z6+nwLKi0WC7Vh7WtSUcE6rtZW4WwIACEE6enpiImJwfvvvw+LxQK9nrNdVkTknISGhiInJwcHDhyAy+VCcXGxMHPohGRpCfj974FbbhHMRF9fn097ZGws3aAyKioKY2NjnGU2Op0OFotFQwgRJoUr4jGEEInL5Sq32Wycz9L0zYODgK8Vc9HR0RiiUSd2LqRS9nf86qvC2RAAQgi2bNmC6OhovP/++4iNjfXpEkpERKVSITs7Gx988AEYhkFRUdHG881vvQXk5vq+8awDjYu3mBh2f6SB0WjE6Ogop2+OjIyE0WiMIIQINliUdqYyv7i4WMZVXrO8vIzl5WWqN2ojI4DR6P3n4+PjfR4yvC4yGXDnncArrwhnQ0CmpqZgNptx8uRJYTO6Iuc9CwsLaGlpwaZNmzA9Pe3V/LWA89ZbQFYWkJQkmImenh4kJCR4/XmTCRgdpfc+EokEer1+XQEvN7fffrs2LCxMmGZTEW8ostlsMi7FxqWlJTidTmrzhgcG6ASVfGax+cS99wK/+hXgxZzmQOP2zT09PcLpQohcEMzPz6O1tXVj++aXXwbuu09QE4ODgz5nKmNi2P2RBhKJBBEREesKeLn51Kc+pVEqlYKlcakGlVFRUbfdfvvtnGksmuU1biYnfevJTUhIWFOUhir33MPehgo1ukQg+vr6sLCwgLy8PJSWluLIkSPCZnVFzltOnTqFyspKZGZmIjs7G0ajES0tLYF+Lc955RX2ICog3d3dPgWVERFsTxtN+JbZXH/99SE6ne5uutZFvMVgMHzqU5/6FGcaa2BggKoYB42gMi4ujpe6oU/k5bGSyUE8s3Itent7sbS0dNo3NzU18fp9ioiczcTEBKqqqpCVlYXs7GxERUWhbYOIS56mvx9wOIAbbxTUzMmTJ30WMqMZVAL8ffPu3bsVer1+Lz3LZ0I1qJTJZDfs2rWLs3uCtuMC2MOTL0FlZGQkVlZWeDW7ek1aGpCcDLz9tnA2KDMzM4Ouri7k5eWBEAKVSgWr1Yr+/n60t7dvzJsskYAwMDBwWpnQXUKdnJyMhYWFNRVhg5beXr84Ll+Hz+t07GUbTfR6PSYmJjh/94mJiVAoFPGEELHBKwiQSqXXXX755Zy+eXBwkKpvHhoCfLzQR1paGjpoTArn4r77gJ/+VHg7lJiensbx48fP8M02mw29vb3o6OgQfbMIb/r6+tDc3IzS0tLTJdQpKSmYnZ0VvkqAJr/8JXDTTYDAQlUdHR1IS0vzaY3oaHrlrwDbnjI+Ps75u09JSYFcLt9MCBHkH4laUEkIibVYLOFarXbd51ZWVrC8vEytvMbN5CR7iPIWQghSU1OFd16PPgq8+KKwNijhdDpRX1+PgoICfLykWS6Xo6SkBC6XC7W1tXA6nQF8S5Fgh2EYdHR04OTJk7DZbGf89gkhyM/PR2dnp3BzYmnzH/8B3H23oI5reXkZPT09SExM9HoNITKVhBDeoma7d+8OlUgk3PMrRASFEJIQHx8fxtVusrKyAqfTSVWUY2rKN78MAKmpqejs7MSq0KWpd90F/OMfwIkTwtqhwMrKymnf/PGeN7lcjtLSUiwvL6Ourg4ulyuAbykS7DAMg/b2dvT398Nms52hGuz2zR0dHcKN9KHJ4iLw4x8Djz8uuCkaQaVWC0xPU3ohsH8vnU7HqwT+2muvVQC4hJ71f0ItqFSpVLtvv/329SNKAKOjozD60vx4DqamAF8V0HNyctAs9BDkPXuA7m6gtlZYOz7CMAwaGxuRlJS0prQ8IQSZmZkwGo1wOBxYXFwMwFuKBDsulwv19fVYXl5GSUkJ1uq3lsvlyM/PR11dXfBfUMzMsD0bAjuujo4OJCQk+HTA12rZfZE2fIVTbrrpJnVMTMw99N9AxBPUavUNd955J2doNzw8TN03z8wAvgqFazQaaLVa4VsuwsPZbGWQX/oyDIPDhw8jOTl5TRV2Qsjp8kW73S76ZpE1cblcp33uuXxzSEgI8vLyNsYFxW9+A+TnA5mZgppxX5L7GlSGh7P7I034+uabb75ZY7FY9tK1zkItqIyIiLj7+uuv55wSSUOKdy1WVgCO0ZicZGdno6mpic4LnQuZjD2Qfve7wtrxkb6+PkgkEsRxSOrGx8cjIyMDDodD2NJhkQ3H4uIiHA4H9Ho9srOzIZGce7vRarWIj49Ha7CrI7/8MnDJJYAPvY58aGpqQk5Ojk9rhIQI074dFRWFUR4KQMXFxXC5XKWEkPXVYUQERaPR3HXdddetr54HYXzz9LTvQSXA+ubGxkbfF+LiM59hdQ+CWPCmt7cXcrmcs6crISEB6enpcDgcws75FNlwLC4uwm63w2AwICsra93RfjqdDrGxscHdX8kw7Jn6c58T3NTJkyehVCoRFRXl0zoaDd1MJcCqwI6MjHA+V1ZWBpfLVU4IoT5WksqChJBwhUKxiatUa3V1FVNTU4IMUXU62XjNF3JycvzjuO6/H3j3XeDoUeFtecHCwgKOHTuGrKwsXs9HRUWhpKQEjY2NG6s3TkQwpqamUFlZibS0NN5iM/Hx8Zifn+e1KQaEpSXgO98BnnhCcFONjY3Izs72aQ2ZjN0XaSOTyRAaGooZjmtWiUSC7du3SwGU0X8LET4QQrRhYWExXAHI6uoqZmZmwNW+4ikzM75XEAFASUkJqqurfV+Ii9hY4Nprge9/X3hbXjA/P4/jx4/z9s0GgwHFxcVoaGjYWL1xIoIxOTkJh8OBjIwM3j37iYmJmJmZ4aX8HRDeeIPNKl0iSEXnGVRXV6O0tNTndYTIVMpkMiiVSs5yZalUCpvNJgVQTPcN6GUqL929ezdnndbExAQiIiLWvRXxFqeTHTflCyUlJadL9QRFo2GzlV/+srB2vMBdWpOVlbVmOcS5CAsLg81mQ09PDzo7O0WRgAuYoaEhNDQ0oKioCAaDgffnCCHIy8tDS0sLVoJRIflnP2PnXxVT34c/waFDh8BnpuB6SKXCBJUA/zKb2267LdJkMt0uzFuIcEEI2blnzx7O5t/x8XHo9XrqvnlpyfcKIoDNetfU1Pi+EB+++EXghz8EeMjz+xOGYdDQ0IDs7GyPZgeq1WrYbDacOHECR48eFX3zBczg4CAOHz6M4uJijzJtbt985MiR4PPNLhfw7LPAV78KCBBbnE11dTVKSkp8XkehYPdH2njimw0Gw6207VMJKi0Wy41XXXUVp8rf8PCwIKWvAPu98jVTqdVqkZKSgrq6OjovtR6PP85mK48cEd6WB5w4cQLh4eFepfbdIgGLi4toaGgI/hp8EaowDIOuri4cP34cNpvNqzm0SqUSqampwpehe8rcHPD886zjEpiFhQU0NjairMy3BJ9Mxu6LQhAdHY3h4WHO5y666CJIJJLLhHkLES5iYmL2XHnllZyqeEK1pTAMnXOeO1MpuFgPwM6e3bMH+OY3hbflAceP9+wtrwAAIABJREFUH4dOpzutnO0JISEhKCsrw/z8PA4fPuyff0eRoIFhGHR2dqK7uxtbt271yjeHhoZi8+bNOBJkZ1b87nesgMCVV/rFXFVVFYopXCwTwu6PtDGZTLyCyosvvpjIZLJdtO1TCSpdLtc2PgegsbExn+uQzwUhdOYWV1RU4MCBA74vxEV4OPD5zwPPPCO8LZ7Mz8/j5MmTyMjI8HoNiUSCnJwcREREwOFwYEmIqxiRoGN1dRWHDx/G3NwcysrKEBLC2V59TiwWC1ZXV3kFLX7jP/4DKC9n59kJTFVVFbKzs89Q4vOG1VXhLm4VCgVWV1c5b601Gg00Go2WEEKhCFLEU1wul5XPAcidqaQNraAyOjoaUVFR/rtseuYZ4Be/AIJkHvPc3Bz6+vqQnp7u9Rpu36zRaETffAHhcrnQ0NCAhYUFlJaWelSBdjaxsbFYWVkJnhaVpSXgueeAr33NL1nK+fl51NfXw2q1+ryWUK8bGhoKp9PJKXoYGRmJsLCwSEII1VEcPgeVhBCDyWQK5VIpXFxchEwm86hswxNCQ4GFBd/X2b59O9731wDkRx4BmpqAv/3NP/Y4OHLkCDIzMyH1tY4YbA1+amoqHA4Hpml3I4sEFcvLy3A4HNBoNMjJyVlXkIcvWVlZaGtrC45s98AA8O1vs47LD7z//vuoqKjweZ2FBXZfFAq9Xo9xHiWCl19+uQJAuXBvIrIWhBCzxWJRKDjqTxcWFhASEkJl3z8bWkElAFx22WV499136SzGRWws8PDD7MVvgGEYBs3NzVR8MyEEmzdvRnJysuibLwCWlpbgcDig0+mQm5vrs292Kwu3trYGh2/+7neBrCxgxw6/mDtw4ADy8/PXVF32FPe+KES20j1PmotLL71UDsC3PpuzoJGp3H7llVdyXqkLmaUEAKWSTlB5ySWXwOFwcIpQUEGpBL73PVZxTug+Tg6GhoYglUo96oHjwmg0orCwEPX19cGVdRKhxszMDOx2O5KTk7F582ZqPVmhoaGIi4tDZ2cnlfV84vOfBx54AEhJ8Yu5t99+G1dddZXP6ywssFuMUBgMBl4qsFdccYXGbDZfJ9ybiKwFIWT71VdfzVnnNjo6SnXfP/Md6B2a/BpUAsBTTwGHDgEffOA/m2swODiIkJAQqucnk8mEgoIC1NfXB0/WSYQq09PTcDgcSE1NRVJSErV1Q0NDERsbi66uLmprekVvL3vZ+73v+c3ku+++i8suo9PNIWRrs8Fg4PW73rVrl85kMl1L07bPQaXFYtm9c+dOzvSpUPMp3YSGsrNPfUWj0cBqteKvf/2r74vx4dprgfh4trwuQDidTrS1tSFTgPk+4eHhsNls6OrqwrFjx0SRgPOIkZER1NXVoaCgACaTifr6iYmJGB0d9c8Fz7k4eJA9VH7hC34x19vbi5MnT/os0gOw+2EwZCrLy8vBMIzwsnwiZ2CxWG687LLLOC98hQwqVSpgfp7OWjt27EBlZSVmZ2fpLMiFSsUeWj/zGeEUrzhwOp3o6OgQxDe7zzqdnZ04fvw49fVFAsfw8DDq6+tRWFgoyLk7KSkJQ0ND/vstrsW//RtbTUAxYObinXfewc6dO6msNT/P+mchymD5+uaKigpIJBI6/0Mf4XNQ6XK5yrn6KRmGweTkpCCjRNyo1fTkea+55hq8+eabdBbjghDgBz9gRUACtLF3dXUhPj4eSoHSGiEhIbBarZienkZjY6MoEnAecPz4cXR2dsJqtUJDY2bAGkgkEmRlZQVOGGBxkc1Qfve77AbjB95++23s2rWLSpvA7CwQRrVb4kykUilCQkKwwFEiEh4eDp1OpyGE0J1XIbIuTqezjKufkmEYTE9PUx8l4oambL5Wq0V5eTnefvttOgvyYc8ewGwOmGhPZ2cnEhISwFXC7C0KhQJWqxWTk5Oibz4PYBgGx44dQ1dXF6xWK5UyzbUIuG9+802gpgbYv99vJltaWjAzM0NF+RVg/bNAf57TrYaLHJk2nU4HtVodQQihdsDxKagkhBhNJlMoVzAyOzuLsLAwQUaJuDEYAFpVHNdffz3efvttzj8INVJT2R/HvffSURvygMXFRQwNDfGeJegtEokEeXl5UKvVqKysFH5si4ggrK6uoqmpCZOTk7BarYIddtxERkZCLpcHpkTri19k+zX27PGbyddeew033HADlbWGhwEBEshnwLcEVuyr9C+EkJjY2NgQLsGsmZkZhIeHC+abaV72AsBNN92E119/nd6CXBDCCvZ873tAc7P/7ILtdR0dHeU9S9BbpFIp8vPzoVKpUFlZGXwjI0R44fbN09PTfvHNer0eUqnU/7MrJyaAhx4CXnlF2FvTs3j99dexZ88eKpoRALsvCnlXbTAYeP1tLrvsshAAW2nZ9fVf56KrrrqK1wwsIfspAfbwRKttLzY2Fvn5+XjrrbfoLMiHf/kXtq/yRz/yn00AHR0dSE1NpfZDWQ9CCJKTk5GUlAS73R7Y0gkRj1lZWUFVVRWUSiXy8/MFEfZYi4yMDLS3t/u3dNpuB159Ffjxj/2iKgcA3d3dOHLkCK6kJI3uj6AyKiqKl+P6qK/yemHfRsSNVCrdcfXVV3PegwutdaDRADS1YK6//nr87W9/86/ATFwc8MILwN13A34MuNrb25GWluY335ySkoLExEQcOnRI9M0bjOXlZVRWVkKlUiEvL88v3xmA9c1tbW3+9c2PPQbcdBNAQcyOLwzD4LXXXsPNN99Mbc3paeEylQB/37xr1y4tzb5Kn755Fotl9+WXX855VTA+Po7IyEhfTHFCM6gEgLvuugu//vWv6S3IhVQK/OpXwJe/DLS2+sXkzMwMZmZmYDab/WLPTXR0NPLz81FbW8sryyESeObm5mC32xEfH4/U1FRBqw7OJiwsDBEREejzl7z/9DSwdy87AF2gXrO1+K//+i/ccsst1G6Y/RFUarVaXgf8j/oqLxb2bUTcmM3mG3bu3MnZUTsxMSGobzaZAB4j03gTERGBSy+9FL/97W/pLcqHe+8FoqPZ6gU/MD09jfn5eUF61dfDbDYjLy8PNTU1/s9AiXjF7Ows7HY7EhMTkZKS4lffrFarodVqMTAw4B+D//3fQHU18PWv+8feRzgcDrhcLpSWllJbc2iI3VKEQqvVYnJykvO5bdu2UZ0l7VNQ6XK5rHzqi6enpwXru3JjNrPK/7S44YYb8OGHH/rvIAuwZbDf/CZ7CzM3J7i5trY2ZGRk+HUTcqPValFWVoaOjg50d3f73b4If8bGxlBdXY3c3FzExMQE5B1SU1PR1dUlvIw5wwD79rES5TfeKKytj+FyufDyyy/j7rvvprbm4CC7LwqJRCKBXC7nnHmnVquh0WjCafZuiJwbp9NZXFhYyPmcu/xVKCwWun4ZAD796U/jpZde8m92hBD20vfVV4H//V/BzQXSN+t0OlitVrS1taGnp8fv9kX4Mzo6ipqaGuTn5/s9OeAmLS0NR48eFb4ft72dFc36/e9ZES0/8tJLL+GBBx6gmgHu72f3R6GQSqWQyWScrWZarRYqlUpHCKEi6+f1vxAhJDQsLEzF1U+5uLgIhUIheDo+ORno6qIn06tWq3HnnXfiR34uR8U99wDFxWzNuIBOc2pqCi6XS5CB13xRKpWwWq0YHx9Hc3OzKBIQhPT09KCtrQ1lZWWCCm1xoVAoYDabhb/k+fGPgc5O4PvfF9bOWbz11lswGo3URAAA4OhRYPNmasudk8jISF4zsUpKSqQA8oR/owsbQohaq9Uqufop5+fnERoaKmjgEhNDP6i89NJLMTU1hZqaGroLc2E0Ar/7HeujT54UzIw7uyB0ddd6KJVK2Gw2jIyM4MiRI6JqexDS3d2N9vZ2WK1WwYS2+KBQKGAymYT1zfPzbLLl618H8vzrQk6dOoU//elP2Lt3L9V1BwbY/VFIIiIiePnmoqIiAiCHhk1fIr3c4uJizs8LXV7jRq9nK0hpVlM+9thj+MUvfoE5P2QNT0MI21dZXw/87GeCmTl69ChSU1MFW58vUqkUBQUFCAkJQXV1tSgSECQwDIOWlhaMjIzAarUiVMjZFDxJSkrCiRMnhLt8qK5my8//53+EHfC4Bt/73vfw2c9+luqaR4/6Z7Qm36CyoqJCFxYWtr5UuAgN8j4K4NfFH77ZYmFv5GkikUjw0EMP4cUXX6S7MB+2bQM+9zn2gEtjMPYadHZ2IsVPM3HXQyqVoqioCDKZTPTNQQTDMGhubsbY2BhsNptgqv2ekJSUhOPHjwtz+cAwwIMPArm5wP3301+fg5deegnXXnst9d7z/n7hg0q9Xs/bNyuVSio32l4HlaGhoaUVFRWcqQt/9FO6SUlhD1K0SE5Ohs1mw69+9St6i/IhLAz44x/Z/o3336e+/OzsLJaWlgKapfw4hBCkpaVh06ZNsNvt/g3iRT7BysoKqqurzzhUBAMhISEwGAzC9G+cPAns3g388pf+Se99jNraWhw/fhw3Uiy3XVpiy18FFnUGwD+oLC4ulkRERIh9lQKjVqvLtm/fzumb/RFUJiWxFUS0+fSnP42//vWvgRnA/sQTQGIi22dJ+RA9MzMDp9MZ0CzlxyGEID09HRaLBXa7HfO0ho6KeIVbLC8kJASFhYV+E8vjQqFQQK/XY3BwkP7izz8PtLQAL73kN9E8NwsLC3jxxRfx5JNPUl+7q0v4o4YHVUSyqKioS2nY9Dqo1Ov1FxcXF3N+oycnJxEREeGtGY9IT6evcfP000/jhRde8N94ETepqWxT8m23AR0dVJc+evRoUNyEnk1MTAxycnJQXV3Na3CrCH3m5+dht9thsViQnp4ekJ6e9di8eTOOHTtG90Z0Zga4+mo2A3HNNfTW5cmXvvQlPPnkk5DL5dTW7OhgA0qKS54TuVyO1dVVzn7XzMxMOJ3OLOHf6MJGp9NdUlRUxOnbhZ4dDbBCFCsrAG3NF41Gg4ceegjf+ta36C7MB4mEHWfQ3Q186UtUlw5W3xwbG4vs7GxUVVXxOqSK0MctlhcXF4e0tLSg883Jycno6uqi65tffx34yU+At97y6/gQNy+//DLKysqQmZlJfe22NiAjg/qyZxASEgKn08lZ3ZWdnQ2n0xnY8len05mbnZ297jPugwbNw9J6FBYCdXV01ywpKUFBQQFeeuklugvzYccOtob8qquo1fUuLi5iZmYGBj+qWnpCREQEysrK0NLSgpMC9q2IfJKJiQlUVVUhOzsbsbGxgX6dNVEqldDpdBimJfW8sgLceitgtbJjffyMw+FAc3Mz9u3bR3Xdujp2P/QXGo0GMxwDCeVyOTQajVIU6xEWp9OZuWXLlnWfcblcYBhG8CoEQtiDU1sb/bUfe+wx/M///E9ghN5CQ4H/9/+AX/+a/Y8CCwsLmJubE3z8mrdERkairKwMR44cQW9vb6Bf54JifHwc1dXVyMnJgUVIdRcfCA0NRXh4OD1Ff4cDeOQR4M03ha8TXYOFhQV84xvfwFNPPUV97clJ9i7bH8es8PBwTt+sUCigVqvDaIj1eBVUEkJC1Wq1ikv6XmhlubMpLgZqa+mv+5WvfAUvvPAC5x9GEO67j81WXn45+030kZ6eHiQkJATdLdfHCQ0Nhc1mw9DQEFpbW0WRAD/Q19eHI0eOoLS0NGhKr85FYmIinYPk6iorusEw7PgQP/8mGIbB008/jWeffZb6oOraWnY/9Bd85ctFsR5hcYv0cF3kzszMCK7I7iYjQ5gpWQaDAZ/5zGfw9NNP01+cDyYTqwT75JPAG2/4vFx3d/eG8c0DAwP+n094gdLb24uWlhaUlZX5rerPW9y6Bz5z+DBw/fXshU1+vu/recH3v/99FBcXUx0j4qatja2s9MdPXafT8fLNhYWFVMR6vM1U5vIpr5mamvKrYmRuLuu8ONTtvVg3Fzt37sRXv/pVugvz5StfAcrL2RI9H/oNV1dXMTAwELQ3XR9HJpOh+KNTcU1NDZxOZ4Df6PyEYRi0tbWhv78fNpsNKj9LdXuDRqOBy+XyrfeWYdhb0L4+4A9/8E+d6Fn88Y9/xMjICNUxIm5qaoCiIurLnhOdToepqSnO50SxHsHhJdIzOTnpN8XIwkJhLnsB4IknnsA//vEP1AplgIuMDODPfwY+/Wng3Xe9XmZ1dRVDQ0MBG9nkCTKZDCUlJVhdXUVtba3omwWCYRi0trZicHAQNpstKMTyuNBqtVhZWfGt97ajA7jySlaw8oor6L2cB4yOjuLb3/42XnjhBUHWr6nxXyWRVqvl7ZtDQ0N9jqC9Cir5ivT403EB7OiarCygspL+2t/4xjfwyiuvoL29nf7iXBACvPgiq0S0e7fXqnNDQ0MwGAxB09zNBSEEW7Zsgdlsht1ux4JAansXKk6nE7W1tVhdXUVJSUnQCPLwISEhwftsJcMAn/88q7D81ltsKZufmZ+fx7/+67/ihz/8IfX2gJkZ9ia0oIDqsuui0Wh4OS5RrEdY1Gq1lY9Iz9TUlN98c1mZMD4ZYEd/ffnLX8bjjz8euJFUBQVspvL224EPPvBqicHBQZhMpg3lmzMzM2EymUTfLABOp/P0yJzi4uIN55u9nm/a1QVcdhnb9rVnD90X84AvfvGLuO222wTrb66sZPdFf8A3qCwpKZHp9fpLfLXnVVCp1+sv5nMb6k/H5ebSS4G//Y3+utHR0Xj66afx6KOPBqbkQyIBfv5zwGBgb3G8KMV1l9dsNOLi4pCVlYXKykqcOnUq0K9zXrCwsACHwwGj0YjMzMygLrlaC7PZjJGREU5xmE+wugo89hjw978D77wD+LE8/+P8+7//O2w2Gy666CLqa3/wAVBS4t/50DKZDKurq5wHe1GsR1h0Ot3FfKuI/OWbc3KAEyeA6Wlh1r/33nvBMAx+JuAILk62bgVee40dNfKXv3j88Y3qmzdt2oTMzExUVlbyKrET4WZhYQF2ux3R0dHYsmXLhvTNg4ODnvvmlhbgoouAZ58FKM+E9IQPP/wQb775pqCViZWVrIyDP5DL5ad76NeDlliPV0ElHyEAhmH8KtLj5tJLfapCWZdHHnkEk5OTgRHtAQCZjK0xT0lhb3M8CLDc5Qhq9cbUyIiMjERpaSmamprQT3vw2QXG5OQkKisrkZGRgfj4+EC/jldIJBJER0djaGiI/4dcLrZH+fBh4L33gAD1jtbU1OCXv/wlvvOd7wiy/rvvsvugvwkPD8fs7Oy6z8jlcqhUKiUhxP/1xhcATqczPYNDUtAd/Psr+yGXs6XYdrsw60skEvz85z/Hs88+G1jfsGMH8Kc/AXffzZbU82R2dhYSiWRDtB6shV6vR0lJCRobG4UZ93QBcerUKVRWViIzMxObNm0K9Ot4hVQqhclk8kxMr64OuOQS4JvfBCiL1nnC0tIS9u3bhx/84AeCte719wNTU+yAB38RFhbG6ZsVCgWUSmUYIcSncgmPg0pCCJHJZGqu+u65ubmAbJI2G3vhIcRECrlcjldffRXPPvssjh07Rt8AH6RSdl7P1q2sE+O5iff19QWtoidfVCoVbDYbent70dHRIYoEeMHAwAAaGxtRUlIStCqDfImNjUVfXx+/hxcXWcGr/n42k+DnCgo3CwsLuOuuu/CDH/xAsP6p//s/9s7J3/Atgd28eTMDIEn4N7qwIIQQuVyuCgkJWfe5ubk5v18u7tzpVQKPN5mZmXj44Ydx//33B64MFmDTD3/5C/Doo+zMWx6cD745LCwMNpsNPT09om/2kv7+fjQ1NaGkpCRoZoh7i0e++R//YKvvfvpT4FOfEvS9uPjiF7+I9PR03HDDDYLZcPtnidezNzxHq9VimkepSGJiIgPAp0yDN/9bhujoaM6H/K386kapZB3Yn/4kzPoZGRn4whe+gLvuugsrKyvCGOGCEODb3wZuvpktzG5sXPdxhmEwMDAAs9nspxcUDrlcjtLSUqysrKCurs7zEosLFIZh0NnZiZ6eHthsNoQFYOYTbcLDw7G0tITl5eX1HxwdZW9BCWHlyQP4/75//37k5ubilltuEWT9lhZgft6//ZRu+GQqASAvLy8UgB/vaS8YzHyCk0D45iuuEDaoBIBnnnkGk5OTePHFF4U1xEV+PntQfv55YP9+tuT+HDAMg6GhofPKNy8tLaG+vl70zTxhGAYdHR3o7e09b3yzVqvFwsIC9xn5lVeAW24Bfvc7Vu01gPz1r3/Fb37zG/z85z8XtOT4nXf8rz/EZ6wIAOTm5irgo2/2JqhMzcrK4qybmZ2dDUhQCbCx1u9/L9z6jz/+ODQaDfbv3y+cES4IAb7wBTa4vOwyVoHuHExPTyMsLMzvpchCQQhBVlYWoqKiYLfbsbi4GOhXCmpcLhfq6+uxuLiI0tLS8+Z7AAAxMTHrl1y1tQGlpcDFF7OOS6n038udxWuvvYa33noLP/7xjwWz8fvfs21d/rwFdcPXcWVlZanVarXYV0mf1OzsbM4f9+zsrN8zlXl57ESs48eFsyGXy/Hb3/4WL7zwQuDUYN2kpbGNUx9+yB5IzqGGOTk5CbVavaGEWNZDIpEgJycHkZGRcDgcom/mwOVyoa6uDsvLy+edbzabzef2zaur7Pn1a19jRQAuDqx22/DwMPbu3YtXX31V0AqulRW28+byywUzsSZqtZrXhW92drZGpVKt39vIgcdHD6lUmpaXl8c54CoQjsvNVVexc1PHxoRZXyKR4De/+Q3eeOMNvPbaa8IY4cvNN7PZl337gO98h1W2PIvzobxmLRISEpCeno7KykpeZXcXIktLS3A4HIiMjEROTg4kgYg2BMRisZy7j+qdd9jG/+eeA7761cBEWh/R0tKCRx99FH/4wx8EmwPKMP8MKgOBSqXiJSWflpZGIiIi/CSofuEgl8vTc3JyOH1zIDKVEgmbiBDyshdgZ9j+5Cc/wY033uhZv7UQREWxJ0ilEti+HVhDEfN89c2JiYlITU1FZWUlr7K7C5HFxUXY7XZERUUhOzt7wwnycBEbG7u2b56eZp3UgQPsxUt6uv9f7mMsLS3hxhtvxL59+7Bjxw5Bbb37Lvu/6+/ChLCwMF4j2NLS0khkZKRPw8g8PmUZDIai9PT0oLwNdaNWA9ddB/znfwpnIzIyEn/4wx/w6KOPoqGhQThDfCgrY6Po//5v9sf6sU2cYRiMjo7CaDQG8AWFw2AwoKioCA0NDRgcHAz06wQV09PTcDgcSE1NRWJiYqBfRxBCQ0PBMAyWPj6c1uViFeT27WMFMwSYA+kJY2Nj2L17N7797W8jX8BBzocOsYGlALOaeeE+FHH1tKWmpsLpdK6vJiPiMQaDoTg9PZ1TZGF2djYgJXa33w789rfC27nxxhuxd+9e7N69O/CZMoUCePVVtsSvtPSMGmCGYTA2Nnbe+maj0YjCwkLU19cHPsAPMqampuBwOJCenr4hVX/5oFKp4HK5zmxPaW5mVbuMRvbCJcC6DgzD4NOf/jRMJhOee+45we395jfsPuhvJBIJGIbh7HVOTU0FwzCZPtny9AMymSwnlUO2iGEYOJ3OgJZ0PPQQ2/crZM9+fn4+fvrTn+Lqq6/GiRMnhDPEh/h4ttTGYGB/tE1NANgDhEql2jDzr7xBrVbDZrPhxIkTOHr0qCgSALaco76+HoWFheftocWN0Wj8p9LcyAhbW3LoEKsoV14e0Hebn5/HNddcgxtuuAF3Cxzc/uQnwIMPspXxgSIsLIwzWxkREQEAgZHePY+RSCRZfHwzwzAB8Qdbt7IlsM3Nwtt67rnnEBcXF3jhHoD9QT7xBPD668D997OVEy4XZv5/e3ceF9V1/g/8cwaGfXNBZRFQWVVERBQwrklM0sbExESbpNmatukvSZOa2LQ2m2mW5pukJk2TpknaxCzVZtesNXFLRFRARdzFBRQRRRAUh2WGOb8/zgybwAzDbMDn/Xrd18DMcOcwA/e5z7nnPOf8eQQEBPS50SOtBQYGIisrC4cPH8ahQ4cYm6HWJN2xYwfS09MRGhrq6uY41JAhQ3D69Gn1zbvvqmGujz+ugpW3t2sbB+D5559HYWEh3nvvPYf/H164oGapufNIosGDB8NoNPboj7Lb76LBYBhuqdRxQ0MDfFw4dwlQF+/8/By3vIjZvHnzsHjxYlx55ZWoqKhw7ItZ4u2t/lkff1wVJnnlFZwyLarc13l5eSEjIwM6nQ4FBQWuP5FwESllcwDPyspy2bxmZxo2bJhKKv/3P1WhZtIk4LvvABf/3RsMBixYsADx8fH4y1/+4tDXOn1aBazbbnPoy1hk7bzKAQMGaIQQff+P04kMBkNEREREl8+pr693WWzWaNTyc85YkUuj0WDZsmU4evQoFi5c6B7JzNSpqqMrOxuYMQOV+fn9JjZnZmaitrYWO3fu7NexuaioCEePHkVWVlavXd6tO4YOHYozRUWqqutzz6n1oX/+c1c3CwDw1ltv4fXXX8cXX3zhlJEbH3ygRsG7qo/fmnmVQggEBgZ6CiG6Xt6jC91KKoUQHt7e3j6WejldtZxIa0IADz6o/o4d7b777sONN96Iyy67zPWJJaD+aXNygBUrMPiWWzDUVVVqncxcJCA4OBibN29uOySyHzAajdi5cyfOnz+PzMxMWFpaoK8I1GgQ/vTTkHffrYaaPfusWtPVhfR6PW6++WY0NTXhX//6l8PnyyxdquK2i5bebGbt3I3Ro0drAMQ5vkX9gxBC6+fn52Wpt/3ChQsurS75m9+oIbDV1Y5/LT8/P3z99dfYuHEjHn/8cce/oDWGDlU93XPnIvL66xH27bcd1kHoazQaDVJSUhAYGIjNmzdbrtjdxxiNRhQUFECn0yEjI6PfxObgvDwk/uxnkAMHqg6Vse5Rn23FihVYsmQJ1qxZ45Q5zVICr7wCPPCAw1+qU9bG5kQ1xzXW1tfp7pXKqJiYGItHwLq6OpcnlYA6yTp2DNiL98pVAAAgAElEQVS40fGv9dRTT+Hqq6/GzJkzu7foq6PExUG/bh2qU1Lgk5Wlukn6QfASQmDkyJGIjY3F5s2b+02RgMbGRmzZsgUBAQFISUnp00Oq2sjJgZgwAX5GIyrXrlVrt7pYY2MjFixYAJ1Oh88++8zhFf0qK4G33lKrF7iar68v6urqLD5v/PjxAQASHN+ifiNm5MiRFg/wOp3OpbE5PFyV03/7bee8XkhICFavXo1PP/0UTzzxhHtcsdRo0Pjb36Lw5Zehff11VcHIyvWmezMhBEaNGoVRo0YhJyfHqhENfYG5WF5QUFCfLJbXodpa4P77IX7xC5Q++SSqnnxSDR10AytWrMDChQuxevVqxMbanDt1y5o1aqSGK09PrC2kN378eH/0IDZ39697eFxcnMVLAK4OXGZaLbB4MfDkk47Pp4QQePrpp3HDDTdg5syZOHbsmGNf0AqVNTXQPfigqoL54otqrtmhQ65ullMMHToUEyZMwPbt21vG9PdRtbW1yMnJaU6m+1oVuQ6dPQvcfbeaoPCXv6D+zTdR4QZX5HU6HW644QYYjUZ8+umnThlquHQpcP31gIVZCU5hbeAaOXKkT1BQ0CgnNKm/iIqLi7N4+cMdYvOiRapQuRV9D3YRGhqK9evX44svvsADDzzgFsMvKysr4Td5MrB1KzBuHJCSArz6qioy1scNGzYMEyZMwLZt2/p8bD5//jw2b96M2NhYjBo1qn/E5pUrgdGjVcHInTvhO2cOzjhqKYZuev311/H73/8e33//PcY66aqplKr4/KJFrq13YG1sHjVqlJ+fn99IW1+nu0lleExMjMWI5A6By+z224HSUuCbbxz/WkIILFmyBL/61a+QlZWF7du3O/5Fu1BZWYlBgwYBaWlAfr5KKjMy1F94PxgaGhQUhMzMTBQVFeGIIxdIc6GKigrk5+cjNTUVw4YNc3VzHE9KNX5u9Gg1xHXPHmDePAwcOBBVVVUubdqpU6cwY8YMDBgwAB999BG8nVCI4NgxVZDssccc/lJW8fHxsepKZVhYGAIDA5lU2k/YiBEjLAbduro6+PraPF3GLiZMUGHIgcu1XmTo0KFYv349duzYgdtuu83lUyOaY7O3t4rHP/6o1lvJyABcXU3eCcyx+eDBg64vcuggp0+fxrZt2zBhwoR+MXcWx4+rq+5//CPw3nvAsmXAwIEYNGgQKisrXdo0KSWeeuopvPjii/jxxx+RnJzstNf+/ntV88AVVV9bs3YUUXh4OEJCQpwz/NXPzy8qKirKYte7TqdzeeAy02qBl14CFi4EnDWMf+HChXjllVdwxRVX4Msvv3TOi3agqqqqZU08T0/goYeA7dtVgjlunFrf0h2GAzmQt7c3MjIyUF1d3eeKBBQXF+PAgQPIyMhAcHCwq5vjeDt2qAJUzz+vekNfew0ICQGgPme9Xo8mF/X07927FxkZGbj66quxbNkyp82Zefhh4Le/dY+rlACsHtoVHh4OjUYT7eDm9BvBwcEjIiMje8WVSkCNHnr+ecCZywubh8LW19dj5syZLl3mok1sBoCkJGDDBlW2/sor1eRTd5hG40De3t7IzMxEVVUVCgsL+1RsPnLkCA4ePIjMzEwEBVlcOrZ3u3AB+POfgdRU1WO0c6daH9rEx8cHjY2NLvt86+rqcMstt+DLL79EdnY2Ro60+SJctxmNwCOPqLfHxWUempcVsSQsLAweHh42x+ZuJZUhISGxYVas2tnY2OiUXnprXXUVEB+vgpizXH/99fjqq69wzz334LHHHnP6ya7BYIDRaLx4PldUFLBqFfDyy8Cf/qRKPG/b5tS2OZuHhwdSU1Ph5+eHrVu39voiAUajEbt27UJlZSUyMzNdXmnZ4UpL1ZCDn/xErfeWn9/hYowDBgxAtTMqgLSzfPlyTJ8+HX/+85/x+OOPO22I0/ffq+VpH37YKS9nNU9PT+gtDEUOCwtDU1OTk5eA7rsCAwNHhYeHW3yeXq93+Bxfa4wdC1xzjfOvsPv5+eGjjz7CFVdcgUmTJmGbC2Kf+X/joiXXNBrgF78A9u0DfH2BMWOAv/zFeeOEXcDDwwMTJkyAj48Ptm7davG44e7MxfKqq6uRmZnpVufBdmc0qmVCEhKAvXuBvDy18kAHv3NwcLBLYnNpaSmmTp0KIQR++OEHWJO/2NPbb6sLWzfc4NSX7ZSHhwcMBkOXzwkPD4fRaLQcTDrRraTS09Mz2lLgMmfC7jZ2/PXXVfWlnTud95qTJ09Gfn4+cnJyMHv2bKcW8KmurjavB9exq64CCgqAm24Crr5arUVQXOy09jmbEAJxcXGIiYlBTk6OxdLK7kqv12Pr1q3w8vLChAkT+vT6o6iuBh59VM03iowEDhxQ8yg76fIbOHCgU4fZNDQ04J577sETTzyBNWvW4NZbb3Xaa1dXA3fdpQr0uMGFpzasmbsRGBgIKSWXFLETIUS0pRMmd4vNzz2nRnw6e5aIRqPBE088gZdeeglXXnklXn75ZacW8Dl79mzbq5TtDRyohldt2aI60BITgXfeASycDPZWQgjEx8cjOjoaOTk5VlWodEd6vR5btmyBn58fUlNT+25sllLNJ5s4Ua0P9MknwH//C4wY0emPDBo0yOnTU1atWoW0tDTceOON+OCDD5w+evLMGXWV8vXXVX+RO/Dz87M4BDYkJARNTU0htr5Gt35Vg8EQYSlwGQwGt+gJbW/4cHWl8rbbnNvxN3ToUHz33XeYMmUKUlNT8fnnnzvldS0mlYA6Of/1r4GDB4GYGDX38le/AvroHAdAXSFJTU1Ffn6+20wet9aFCxeQk5OD6OhoJCQkuM3Jod1VV6vxcbGxwIkTqvPjmWcAC8OIBgwYgBonjafbsWMHJk2ahNOnTyM/Px8pKSlOeV1AxfTf/hb46U+B2bOd9rJW8/b2tmrOmlardfGAoL7DYDAMsxSbGxsb3Wopg0GDVGJ5112umeI/b948bNmyBStWrMBPf/pTpxWNqa6uRkiIFedssbHAp58C//mPWiopMVFdGeqjyWV4eDhSUlKQm5vb62JzbW0tNm3ahBEjRiAuLq5vxmYp1VrQmZlqeMyf/gRs2qTmAVsQEhLitCuVdXV1uPfee/G73/0OK1euxB/+8Aenfx5SAvfdp+ZROvHUwCJvb2/U19d3+RwhBLQ9SOK6lVQ2NTWFWDoYNjQ0uFXgau3229XUhXvuce5UQg8PD/z5z3/Gxx9/jIcffhi33HKLw6+o1NTUWD+WPzBQDfouKgKGDVM9UH04uQwODkZGRgb27duHkpISVzfHKpWVlcjNzUVKSgqsGebWK7VOJktKVGXEd95RPUJWsHYdpp5obGzEkiVLcMUVV2DRokX4+OOPnT6f9Y031PTSF15w6stazdqkMigoSAgheLXSPgIDA7t+KxsaGtxuON7tt6sLHIsXu+b1R40ahezsbIwfPx7Jycl4//33HX7V8ty5c907ZlxyCbBuHfCvf6njYVKSSi57+TSOjoSEhPS62HzmzBnk5eVh/PjxTh9e6RRSqhUEsrJUXY4HHwQKC9WYTiuTtYCAAKeMDlu/fj3GjRuHs2fPoqCgAJmZmQ5/zY68+y6we7fqC3cn3t7eVk3/8vf31wghbBoD1a2kUqvVai1l/O4YuMyEAP79bzWixJmV58ymTJmCnTt3IjQ0FGPHjsU777zjsMnLtbW1sHSScZGBA1UluqIiICwMSE9Xc9i2bnVIG13Jx8cHWVlZqKiowO7du91j/bJOHDt2rLkQjFU93L3NkSNqVeCRI9UQ7K1b1WSEUd0rDiqEgEajsThnwFbr169HWloa8vLysGPHDtx6661O7wHNyQGeeELVKQoIcOpLW83apNK06HQf7SFxHiGE8PT0tNiz7I6xWQg1hPuTT4CvvnJNG7RaLZ599ll8/fXXWLp0Ka644gqHVguvra2Fv79/939wxgxVzOett9SVy5Ej1fArF8xVcyRfX19kZmbi9OnT2LNnj1vH5pKSEuzbtw+ZmZl9LzY3NKg4nJysKro+8IBKJufP7/Z4To1GAyGEw2qLVFVV4a677sLtt9+OpUuXYvny5S4rXrhvH/D73wMrVqip0e7EmiuVABARESEB2NRDYvVfhhDCPyAgwOIZlDsGrtb8/dUJ2TPPqFtn8/Pzw8svv4wvvvgCb7zxBrKyspCXl2fX1zD/49q8yO7AgerK5dGjqnfqZz8DpkwBPvusT62j5eHhgbS0NHh6eiI3N9ftigRIKbFnzx6cOnUKmZmZblNR2W5yclRv56RJ6ui7a5fqie9mMtlacHAwzp07Z8dGqqR+/vz5uPPOO7FkyRJ89dVXiIiIsOtrWGPfPrUe5bvvqou57srapDI6OloLGwMXtRFozQmtuxXQMxs0CPjwQ1WjZtcu17Vj4sSJyM3NxWWXXYb09HQsXrzY7scSg8EAjUZje2wGVHK5Zo3KwnfvVsnl737Xp0YWeXp6YuLEidBoNMjNzXVYR6GtpJTYvXs3Tp8+jaysrL5VLO/MGXWCHBMDfPyxKupYUKDOA3swTzQoKMju/0+NjY34+9//jqSkJPj6+mL37t2YM2eOXV+jO86cUSVKXnhB5eLuxtorldHR0Z5wdFIJYJgpe+2SuyeVgDpn/fJLNZ1w/XrXtCE9PR05OTn4zW9+g2uuuQY333wzioqK7LJvm65SdiQwUPVOFRWpNVleeEG9eU8/rea69QFCCCQmJiIyMhI5OTlWLQ7rDAaDAXl5edBoNJg4ceLFlQJ7q3Pn1PjNiROBW28Fpk9XVyefew6wQ6IWFBRkt3mVlZWV+MMf/oDU1FSMHj0ae/fuxbx581wyX+bYMbXM7IsvqhUH3Fk3kko/8EqlPYRb08lRX1/vtlNTMjPVueucOcDJk65rh1arxcMPP4zCwkKcOnUK8fHx+Mc//mG3Dsfz58/bb4mJ8ePVeoCFhariZnq6KsD3+eeAm3WQ2kIIgaSkJISHh7tVbNbr9cjNzW1OfPtEQR4pgR9+UJMA4+LU6KE1a9Sw18sus3qYa1fsmVRKKfH5559j7Nix+Oabb7BmzRq8+uqrLl2+pa5OdfrOnw/ccYfLmtGlbsRmX9gYm7uTVIYMHjzY4vN7Q1IJqJo0H32kRneuXu2aNmg0Gtxxxx04ePAgxowZg6ysLNx1110o7mEV1traWgTYc2ycp6e6orR5syocUFqqumGuuUb1lrpZL6ItIiIiMG7cOGzdutXpVcraq6urQ05ODsLCwpCUlNT7J/1LCeTmAr/8JRAdDXz3neqYOHhQVZyx499qQEBAj+dV1tTUYMmSJUhISEBNTQ0KCgqwZMkSl63vV1Skcu9Fi4Cf/9wlTegWawNXaGiot6enp4VqYmSFkNDQUItntu56pdLs5ptVcedZswAXLiEJQMWDt99+G6tXr8bKlSuRkJCAN99806q/665cuHDBtqGvXYmMBP7v/9Ti87fcAixdqo6zjz7aJyq6Dx8+HGPHjnWL2KzT6ZCTk4OIiAgkJib2/th85oz6e0lKUmukTpoEHD6s5omNGWPXl7JHbDYajVi5ciXS09OxZMkSvPrqq/j222+R7OLLgvX1wNy56l/R3eZRttaN2OwDwKbxw91JKgNDQkJ6feBqbcYM1al3220qwXSVwMBAPPLIIzh48CDCw8ORlpaGW265BdttrLXu0AWu09KAf/5TXTq59lqVHMTEqEHkBQXOrYBkZwMGDEBGRgZ2796N48ePu6QNZ8+exZYtWzB27FgMt7JAjdsqKVEnOykpauma2Fg1hvPTT9XlNgf08FqznEVnjh07hkWLFmHkyJEoLi5Gbm4u/vnPf7r0cygoUAnlI48A99/vsmZ0i5eXl1VDbAIDAxEQEDDYCU3q6/pMbF68WCWXs2YBZWWubg2QkpKC7777Du+//z5WrlyJ2NhY/O1vf7O56IhDkkozX1/V67Rxo7rKVFurRoRMnw68+Sbg4oSsJwYOHIjJkydj165dKC0tdUkbqqqqsHXrViQnJ5vng/dOdXXqhPfaa9XIsx07VBGoPXvUyLSulrvpAX9/f5tjs16vx4oVK5CSkoKnn34ajz76KHbs2IHZblD+XKcDrrsOGDBADRxwl+VDOuLl5WV1Eb2AgIBBtrxGd5NKi8UADAZDrxqqN2WKWkT8oYdUAQwH1c2xyoABA/DUU0/hyJEjSE1Nxdy5czFjxgysWrWqW3MKHJpUmgUEqFrwW7aoS71eXuo/a8wYlWgePuzY13cQX19fZGVloaysDPv27XNqkYATJ06gsLAQkydP7nodM3d25oxamGnqVNUBceSIWiC2qEhN9h82zKEv7+vra3EdptaklNiyZQtuuukmpKamAlDLhSxbtgwjR450VDOt8uGHwOWXq7fvl790aVO6RaPRWPV/ExgYCG9v7176h+5WAoODgy3GZr1e3yti82OPqaqwmZlqZKc7mDJlCr755husXLkSGzduRHR0NO6//37s37+/W/txSmwGgNGj1XjiEyfU1JXvv1dldufOVfPk3GQoaXf4+fkhKysLJ06cwP79+50am48fP47du3f33thsMKiOhjvvBMLDVbGn665TV7fff19VGHbwVVdfX99uJ5VlZWV48sknERMTgzfeeAMvvPAC8vLyMHfu3J7NS7aT8nJ1cWrIEOCDDzpdQttteHh4WFUcNCAgAH5+fg5PKgP6UuBqbdw4VRF2wwY1p8PVHXrBwcFYtGgRDh8+jLvvvhvPPfccoqKisHjxYqvmXTq0N7QjY8aoa/5HjqhhE6dOqQI/aWmq4E9hYa+6gunp6YlJkybBaDQiPz/f4UUCpJTYv38/jh8/jqysLJcNs7TZsWPAq6+quRejRgE//qjWsSorU/MnZ8xwWvedOaGxdMJx5swZvPTSS0hOTsatt96K9PR0HD16FC+++CKioqKc0tbO6PVqqOvixepc8IYbXNochwkICIBWq+1jJRNdImDAgAEWJ0v2pg7fP/xBFTa97DJV/8BdpKWl4ZNPPkFBQQGCgoIwY8YMXHrppfjwww+t6szS6XTOjc3e3i2JpHl00RtvqOru11+vEgpXn/B0g1arxaRJk2AwGLBt2zaHVRM1k1Ji3759KCsr632xWacDVq1SE/yGDVOduuPGAXv3qsByxx0W1362J2sTGoPBgNWrV2P+/PkYM2YMysvL8b///Q8bNmzAlVde6TZDjgsK1BKdc+YAy5a5f0LZHYGBgbB1akp3qr8GhoSE9KnA1drQoaojJylJTRf84gtXt0gdQG+66SZs3rwZa9asQWNjI6ZMmYLp06fjH//4B8o7mXjiskWuhVDdy3//u+ohXboUOHtWBbKRI1WP6YYNvaKIgBACY8aMwdChQ5GTk9Otq1/d0dTUhG3btsFgMGDy5MnowZqzziMlsHOn6jBISwMmTFC9MvfeqxLJFSvUkdZFRUG0Wm2HhTVqa2vx4YcfYt68eYiNjcWOHTvw2muv4eDBg3jwwQddOsnfbOdONa1l/34gL0/V4uirAgMDIYRgUtlDnp6eQdZ0+Pa22LxggTonvu8+Vdy0h9MZ7Wr48OF4+umnUVJSgrvuugtvv/02wsPDceedd2Lt2rWdJjt6vd51x/jgYHWlas0a1QF87bWqovuIESp7f/XVXlFBVgiBsWPHIjQ0FDk5OVYtkWALg8GA/Px8GI1GTJo0qXf875w+rcZgXn+96jh45RUVo7dvVzF64UJ1v4t4enp2GJullNi2bRsWLlyI4cOH47HHHsO0adNQXFyM119/3eVzJluTEvjb39Qoov/7PzWywk3yXLsJDAyEh4eHY+dUBgQEDAoKCrL41vW2wNWaVquqKy5frv73br5ZTQtzB6NHj8Zf//pXlJaWYuHChdi0aRMSExMxY8YMvPbaayhrNwHF5b05np5qLsdLL6kAtmqVGnT+0ENAaKjqPX3tNTUs0o2vYkZFRWHMmDHYsmULqu28Hlh9fT1ycnKa1y11+WfWlfJyNb7j9ttVldbrr1cdBkuXqseWLVPDaZzZC98JHx+f5hONc+fO4b///S/mzZuHiIgIvPPOO/jJT36C4uJivPfee5g+fbpbvO/nzql5k5ddpuZOfvmlWmqhN7N0tdhUodo1i4n1IQEBAYOtKczWG2NzZqaa8nX8uJoeuGGDq1vUlre3N26++WasXr0ae/fuxbhx4/Dwww8jMjISd999N77++uvmDkm3Wm9x0CB1LP/8c1Vu9777VNKRmamqf957r+pZt/MSEPYUHR2NpKQkbN682e6x2Vwsb8iQIRgzZoxbxIgONTQA69apq5ATJgAJCWqtvLlz1XnX2rWqGJ6LR9+YtS4UYzAYsHHjRvz+979HQkIC5s+fj6CgIPzwww/Izc3Ffffd57K1Jjuzb59KJv/zHzXza8ECV7fINpaORQEBATZ3+FodYXx9fQdas0yFlNItxjr3xPTp6orB88+r/9M77wT+9CeHzV/uFi8vL8ydOxdz585FfX09Vq9ejY8//hiPPvoooqKiMHv2bERERCAzM9N9ijIIoYZdjBsHPP646k1bs0YNwXj2WXVF6/LL1Rn11Kku7UnryKBBgzBp0iTk5+cjLi4O4eE9XwWhpqYG27dvR3JyMgYPdsNaJTU1ah3JdetUtdZjx4CZM9Xn9PjjPVpL0pGMRiMOHTqEzz77DNnZ2di+fTsuueQS3HjjjXjrrbfcbj5MY6Oqe/XMM2o1gB07VAW53s7T0xMGg6HLqzKBgYGQUtqxTHX/5OPjY1VsBtygs9EGAwcCn3yi6nvdfrsacvbii4C71TELCwvDwoULsXDhQhQVFeGLL77A888/j5tvvhmzZs3C7NmzMWDAAEgp3etz8PNTScjcuaqDt7BQHfP//ndVTTY1VR33p04FJk92qxXdBw8ejPT0dOTn5yM+Pt4usbm6uho7duzAuHHjMMjdevYMBhUkNm5UCePGjWr+7BVXqM9r8mS3HodZU1OD5cuXY9OmTfj6668xfPhwXHPNNVixYgUmTJjgXv8XrdTUAE8+qUaLP/oocM896iJUb2QehtzVUjiBgYEwGo02rUsorO09i4yM/Nd7771316xZs7p83oYNGzBjxgxb2uKWTp4ElixRo0Tuv1914LnZeSkA1euTm5uLr776CqtWrUJpaSmmTZuGadOmYcqUKUhLS3OfJLM1KVX3z3ffqQRm0yYgJEQFsEsuUVtCgluML9Dr9di2bRsGDBiA+Pj4Lg+AXf0fnDx5EgcOHMDEiRPtu/RLT5w4AWRnqyCVna0KLaWnqx6W2bPV124YrIxGI/bs2YPs7GxkZ2djzZo18Pf3x6xZszBv3jxMnz7dLefBNDSo3s5nngHi49UwmnHjXN0q+9m6dSvGjRsH3y5OQC9cuIC4uLgDZWVliU5sWp8zfPjw95cvX/7zqVOndvm8vhCbdTr1v/Lqq2oFhIUL3f+KfmVlJb7++mt8++23WLNmDfz8/DBr1ixceumlmD59OiIjI932ZBo6nZojb05gdu1SY/KnTlXblCkqXruYXq9Hfn4+Bg0ahLi4OJtjc1lZGYqKijBx4kTnzn3tTF0dsHWreu9//FF9HR2t3vuZM4FLL3XPE1KTyspKbNy4EevWrcPatWtRWlqKrKwsXH311ZgzZ47L6xdYUl+vCuM+8wxw9dXqdsgQV7eqZzZv3ozU1FT4+Ph0+pyamhqMHj1674kTJ7q9rozVSWVUVNSnn3766fXp6eldPq8vBK6OHDiggtnKlWrN9l//2u7L+NhFTU0NDh8+jOjoaKxduxbZ2dnYtGkTDhw4gNTUVFxyySXIyMhAamoqhg8f7n7BzGhUE8rMyc3GjcCFC6oHbuLEls3BVUQ7b55KYhobGzF+/PhOe3s6+j+QUuLQoUOoqKjAxIkTXbcQ+blzwLZtarhTfr5aQ/L8+ZYkfupU1TvthgulnzlzBgUFBcjNzUV2djY2b96M0NBQTJkyBVOmTMFll13WfCUgJibG1c29yMmTwLvvqk7lceNUQZI+eLhEfn4+EhMTu+w0kVIiLCzsWHl5ebQTm9bnREVFfbFq1ao55urFnelLsbm4WJ3gffaZqoz8m9+oqYHu7OzZsyguLoavry/Wrl3bHJ89PT2RkZGByZMnY/Lkye7V2djehQtq3N/GjWrLzVWXjNPTW7aUFKCLE1ZHMRqN2LVrF5qampCSktLt2Hzw4EFUVVVh4sSJrpn3ajCoIjp5eS3b/v2qyEfrJN5Ne1EaGxtRUFCArVu3YuvWrdiyZQsqKiqQkZHR3IkSHBwMLy8vREe79yH/zBk1o2fpUnW6+cQTampqX5Cbm4sxY8Z02WliMBgQGRlZXF5e3u2jqtVJZXR09PerV6++LDGx607lvhS4OnLihJoK+O67qjLzbbcB11yjOo/cQUVFBU6dOoWxY8e2uf/8+fPYsmULsrOzkZubix07dkCv1yM1NRWpqakYP348kpOTERcX1+XVBZcoLVUHWHMSlJ+vhuyYE8zx44GxY9W8ASclycXFxSgtLcXEiRM77PFp/3/Q1NSEnTt3wsPDA8nJyc4bIl5RoXqXCwtb3rvSUhX409Nb3sP4eLdaYMlgMODo0aPYs2cPduzY0bydO3cO48ePR1paGi655BJMmTIFQ4cObfOzZWVlqK2tRXx8vIta31ZVFfDtt+rK5ObNajrq/ferj6Cv2rZtG+Lj42FpWGZERMSJEydO9IEBv64TFRW1Yd26ddNjY2O7fF5fjM0lJWra/gcfqDBwxx3AT3+qpu+7m1OnTqGyshKjR49uvk9KieLiYmzZsqX5RLywsBARERFITk5GcnIyxo4di+TkZMTGxrrfnFi9Xq1vmJenEsy8PODgQVXxMD1ddU4mJ6v47KRCaEeOHEFZWRnS09M7HJ3VUWwuKCiAVqvF2LFjnROb6+tVArlrlyojmpenbiMi2ibo48ercx03IsJzY+wAAB5jSURBVKVESUkJdu3ahd27d2PXrl3YtWsXDh06hLi4uOYOkoyMDCQmJrZJ7ktLS1FXV4e4uDgX/gYdq6tTs7Lef18NnJszB3jwQfUn3Jfk5eUhKSnJYsdVWFhY6cmTJ7s9yaA7Vyp/2LBhwzRLa7f1xcDVkaYm9Qe4fDnwzTfqwtnVV6upBxkZrjsOnDx5EjU1NbCU/ANAeXl5mxP2vXv34vDhwwgPD0diYmLzlpCQgJEjRyI8PLzLcdhOI6WqUmdOknbuBHbvVos9jxmjAtjYsS3BLDTUIc2oqKjAnj17MGHChIsqh7b+P2hoaEB+fj7CwsIct/bh+fMquO/erbZdu9RtY6N6H5KTWxLIpCS3GMoqpURFRQWOHj2KAwcOYP/+/c23R44cQVhYGJKSkpo7PVJTUzFixAiLQb+jkzdnMk97WbcO+Pprda4wY4aa1H/ddW53juAQ27dvx6hRoywWWoiMjDxRWlrKpLIHoqKicrKzszMtDSXry7G5vl7VgvvPf1Qxn7Q0dVJ49dWqv8wdlJWV4fz580hISOjyeXq9HkVFRc0n6+YT95MnTyIhIQHx8fGIjY1FXFwcYmNjERsbi6FDh7rPqCOdriVR2rlTxaK9e1UcTk5WQzTMMSkuziEjYk6fPo29e/daFZvz8vIQERGBEY641N3UpC6r79rV0rm7a5fqDYmNbXk/0tPVH60bDCU2O3v2LIqKinDo0CEcOnQIRUVFKCoqwt69exEYGNimwyM5ORlJSUkWL0iUl5ejurraqvNTZygrU+fvX34JrF+vaqgsWADcdJNbfRR2tW3bNsTFxVmsdm9rh293ziw1vb0Ajz15eKi50VdcoY4beXnAV1+p8sI7d6rjxLRpatRmSgoQE+OcC0FGo9HqnrZhw4bhqquuwlVXXdV8n/kK0f79+7F//35s3boV7777Lo4ePYrKykpEREQgOjoaMTExiI6ORnR0NCIjIzFs2DAMHToUgwcPdnxPnxBqiZKRI4H581vur6pqm1R9/LH6WggVvDraenDkCA0NRVpaGrZt24bExEQM62BI7rlz57B9+3aMHj0aQ3o6GF+nU3Mdi4ou3qqr1YR9c0J91VXqNjzcJfNRpZSoqalBeXk5ysvLUVZWhpKSEhQXF6OkpKR58/X1RUxMDBISEpCYmIgFCxYgMTGxR1fMNRqNVeth2Ut5ufqfz89X0142b1b/79OnqwJfM2a4ZDSYS5nXC7VEuM2ZcK9mMTa7VeVRB/DxUSeDCxaow+Tatap46V//qurKzJ6tOnwnT1Z14FzxV2epOIaZVqvF6NGjMXr0aCxoVV6ytrYWe/fubT7JX7t2Ld544w0cOnQI9fX1iImJQWRkZKdbUFCQcxJPPz+1TnVWVst9TU2qGqk5ufrkEzWmsKREXZ2Lj1fxOD6+5euoKHWiZYMhQ4bA19cX27ZtQ1JS0kWjWQA7xmYp1byGgwdVLD54sOXro0fVJDxzEn3ddarQXUKCS6eX6HQ6lJaWdrqVlJRAr9e36bi49NJLcffddyMpKcnmAkbOjs3tVVWpmT/ff6+2khJ1XJg/H3jnHbeenmo3QgiHxgO7JpV9PXB1xsNDXZ3MyFDf63RqPvUPPwD//rc64Tx3ruW4MmqUmv8xcqS6tWePSHeSyo54enoiLi4OcXFxmDNnTpvH6uvrcfz48TbJwbp161BWVoZTp06hvLwcNTU1CA0NbU4yzbeDBg3CwIEDMWDAgDbbwIEDzeWLe/qrqyPCtGlqM5NSDQFtnYCtXKluDx1SZyNxcWr8cnS0CmRRUS1fW7jSEhgYiKysLOTn56O2thajRo1q/l1OnTqFffv2ddhb2iGdTtXOP3ZMbSUlLbeHDqnfY8SIloR44kTVpRYXp0qGOiiZl1Kirq4OZ8+ebbNVVVU135o//9a33t7ezX8DYWFhiI6ORkpKCq655prmDglrq1Z2hyMCl06nOpyPHFHnCUeOqAvDO3eqK5MpKaqX89571egFN5324jTdCFxMKntISmlVbO4v+bufn7pKOWeOOvzv2qVOIN98U9VCkLIlFo8cqQ7zw4erbcgQx3X+Go3GHn0GAQEBmDRpEiZNmnTRY9XV1SgpKWmTGGRnZzd/ffz4cTQ1NSE0NBShoaEYPHhwh1+HhIQgODi4eQsKCrLP3H8Pj5a4df31Lffr9eqAak7C9uxRy5wUFbXEuxEjWuKxOU5HR6vegS4+rMDAQGRmZjbH5pEjRza//+Xl5di/fz/S0tIsxyAp1SS7kpKLt+JiFZv9/dsmxrffrm5HjXJotVyDwYBz586hpqam+ba6uhpnzpxBRUUFKioqOvxar9df1OkwevRozJ49G5GRkYiKikJoaKjdjxmOTiqlVInj8eMtW3GxurZQWKjOw1NSVH2j115Ta0K7waAtp3J0h6/dk8r+Eri64uenCnPNnNlyX2Wl+qPevVudkGZnt5ycenqqcdvr1vX8tXuaVHbFx8enOeHsTGNjI06fPt0mwSgvL8fJkyexd+/eixKTs2fPoqGhAcHBwfD390dAQAD8/f3bfN3+tvXXPj4+8Pb2br7t8GsfH/ikp0ObldX271NKdZnp0KGWBK6wUF1yNidzGk1LohkersY5h4WpW9PmNWwYMjIyUFhYiJ07dyI5ORmNjY04dOiQWtpFCHV0Ky+/eDt5siWJPHdOndm0TmynTVNfjxp1Uc+tlBIGgwENDQ2or6pCQ0OD+rq+vtOvL1y40LzV1tZ2eNv+vpqaGmg0mos6BFpvEyZMaE4gzR0Jrqq6as/AtXAhsGKFuhAcHd3SEWReLzwlRXW087DXlhDCpT3S/YzG0hWwvrDUly1ar2b10EPqkH/qVMsFsyNH1HBZc1/euXOqf27jRnW4tydrr1TaIiQkBCEhIUjpYqL2hQsX2iQWrZON4uJiVFRUoLq6GjU1NW02rVbbJtE0b/7+/vD19YWfn1/z1vr79o95e3vDy8sLWq227e2wYfCKioL2qqvavj86nYrNxcUt8Xn79paE7uxZ9WFFR6uDcFhYy2aK095hYcjMyMDOwkIUFhZi7NixaGhowOHDh5GVlQUv8xXUkycv3srKWl7Xx6dtQmuOzdHRKpFs1flsNBqh1+vR2NgIfV0dGmtqWr433TY0NKCurg46nQ46na7N1x19r9Pp2iSO5q2urg5BQUEICgpq/lxCQkKaOwrM62y270Rw2lXrdhyZVE6cqBYS0GpbTqOGD1cf0W9+o44B0dGM1Y6OzVYnlXq9XjY1NR0GYOjsOVJK4ePjMwzASXs0ri8ZNOjiRBNQxU6rqqApL4cHAL0dXirQNJn/vB321W1eXl7NPV/Wqq+vR21traa2tlZz4cIFodPpmm9ra2tFXV2dRqfTCZ1Op9HpdKK8vFyj0+lEfX29pqGhQTQ2NorGxkah1+ubvzZ/39DQIPR6vdDr9WhqahKenp7S29tbarVaqdVq5YoVK07GTJ1qQEfl+I1GoLpag9JST5SWeuLUKQ9UVHjg6FFP5Od7oLLSA2fOeKCy0kPj5SVTBg5suhAQoNmVlaUZs369NlxKnais9IROp0FISBMGDWrC4MEG020Txo9vwuWXNyEiwoDhww0IDW3qarjPlVdeGVFVVeXR6ncSQghotVrp5eXV/DuZfz8vL6+LNl9fX+nr62v08/OTgYGBxqFDh0p/f3+jn5+f9PPzM/r7+0s/Pz9jQECA+T4ZHBxs9PX17TXDEDw8PLw8PDyCAVT0dF/33QfPRYsghw1DkztMJ+4ttFrtQCmlDkB9V88zGAxuULe/d9Pr9Uaj0XgIQFNnz5FSCm9v734fm4Vo6Q+8/PKLH9fpIE6cgGdoqF1icXtBnp6eRgC1Dti3ReYO2e5UxTYajdDpdOLcuXOa1tv58+fNMVjodDpNQ0ODqKurE2fOnNHU19eL+vp6Ybqv+fvGxkbR1NQk9Hq9MBgMMBgMwmAwtPleCAEPDw+p1Wrh6ekptVqt9PT0lJ6entBqtXLy5Ml1z370USUAQKcTOH5cxebycg+cPu2BigpP7Nun4nRlpScqKz00AMYPGtR0ISBAc8Lf3zO5qkoT1tRUJ6qqPNDYKJrjsTk2h4Y2ISGhCUOHGhAZaUB0tAGBgRIA3nzzzaAPP/wwyFBQAHPb9Xq9aGpqgulWNDU1mdsOU9ulp6dn8+/j4eEhvby84OPjY/T29pa+vr7S29vbaLqVvr6+xoCAABkaGip9fHykr6+v0dfXVwYEBBiDg4ONgYGBxuDgYGNwcLDR399f9qbOIo1G46XRaIIAnLH3vlesgHbIEBiCg9FrzlVcQavVDoI6BjV09bympiabrgpYXahHCDEWwF8B9POBXURWiQZQ4upGELk5PwDHpJRXurohvZUQYhyAF8DYTGQNxmYiy2yKzVYnlURERERERETt9Z7r5kREREREROR2mFQSERERERGRzZhUEhERERERkc2YVBIREREREZHNmFQSERERERGRzZhUEhERERERkc2YVBLZQAihFUI8IIR4RwhRIIRoFEJIIcQve7DPLCHEN0KIKiFEnRCiUAjxOyGEhz3b3tfY630zfX6dbVsc1f7eQAgRKYR4WwhRJoRoEEIUCyFeFkIM6OZ+Bpp+rti0nzLTfiMd1XYi6j8Ym90HY7PjuVts5jqVRDYQQoQAOGv69hSARgDDAfxKSvkvG/Z3LYBPAdQD+BBAFYA5ABIAfCKlvNEe7e5r7Pm+CSEk1KLYyzp4uNSWz7UvEEKMApADYAiAVQD2A5gEYCaAAwCmSCkrrdjPINN+4gGsA5AHIBHAtQBOA8iUUh5xxO9ARP0DY7N7YGx2PLeMzVJKbty4dXMD4AXgKgBhpu+XAJAAfmnDvoJM/7gNACa2ut/H9I8uAfzM1b+zu232ft9Mz9/g6t/L3TYAq03vzW/b3b/UdP8/rdzPG6bn/7Xd/feb7v+fq39Xbty49e6Nsdn1G2Oz095nt4vNHP5KZAMpZaOU8lsp5Uk77O4GAKEA/iulzG/1GvUAHjV9+//s8Dp9Dd83BzP1hM4GUAzgtXYPPwHgAoBbhRD+FvYTAOBW0/OXtHv4Vahe6CuEECN73moi6q8Ym90C3zcHc9fYzKSSyPVmmW7/18FjPwLQAcgSQng7r0m9giPetxAhxC+EEH8SQtwrhMjocSt7t5mm2++klMbWD0gpzwPYBMAPgKX3KQOAL4BNpp9rvR8jVI9r69cjInI1xmbbMDY7nlvGZiaVRK6XYLo92P4BKaUBwFEAngB4FactR7xvKQD+DeAZqF66zaZiD8k9bGtv1el7bFJkuo130n6IiJyFsdk2jM2O55axmUklkesFm25rOnncfH+IE9rSm9j7fVsKYArUsJ1AAOkAPoEKZuuEEBE2trM3s9d7zL9xIupteNyyDWOz47llbGZSSf2WqXRyV6Wq228fuLrNfY07fQZSyoeklDlSyjNSylopZb5UFeo+BTAYwCJHvTYRESnuFBf6K3f6DBibew9PVzeAyIUOQ5W7tlaZg9ph7gkK7uRx8/3VDnp9V+rJZ+Cs9+2fAOYBmNbD/fRG9nqP+/PfOBF1D2Oz6zE2uze3jM1MKqnfklJe6uo2mBwAMBFqzPq21g8IITwBjABgANDn1vDr4WfgrPetwnTbZRW1PuqA6baz+RRxptvO5mPYez9E1McxNrseY7Pbc8vYzOGvRK63znR7ZQePTYOq4JUjpWxwXpN6BWe9b+bqaX3uxMEK6023s4UQbeKFECIQap6LDsAWC/vZAqAOwBTTz7XejwaqNHrr1yMicjXGZtswNjueW8ZmJpVETiKECBZCJAohwto99AmAMwB+JoSY2Or5PgCeNn37upOa2Zt0+30TQviZPoOodvePE0Jo27+AEGIcVLU5AOh383aklIcBfAcgBsC97R5+EqqH+H0p5QXznab3N7HdfmoBvG96/pJ2+7nPtP/VUsr+eHJARC7E2Gx3jM0O5q6xWUgprf4liKiFEOKPAMz/oOOhKpHloKUEc7aU8l+tnn8HgHcAvCulvKPdvuZCHYjrAfwXQBWAa6DKPX8CYL7kP+tFuvu+CSFmQPW4/SClnNHq/mUA5gDYCOA4gAaoz/ZKAB4A3gJwd3/8DEyLLOcAGAJgFYB9ACZDrVt1EECWlLKy1fMlAEgpRbv9DDLtJx6qJzsXQBKAawGcNu3nsKN/HyLq2xibXY+x2fHcMTZzTiWR7a4EML3dfVmmzexfsIKUcqUQYjqAR6AmnvsAOATgQQCv9McDpjXs+L6tBBAEYBzUws0+ACoBfAvgLSnlF/Zue28hpTxs6m3+M9Tf/E8AnATwNwBPSinPWrmfSiFEJoAnAMwFMBXqPX4HwONSylJHtJ+I+h3GZhdjbHY8d4zNvFJJRERERERENuOcSiIiIiIiIrIZk0oiIiIiIiKyGZNKIiIiIiIishmTSiIiIiIiIrIZk0oiIiIiIiKyGZNKIiIiIiIishmTSiIiIiIiIrIZk0oiIiIiIiKyGZNKIiIiIiIishmTSiIiIiIiIrIZk0oiIiIiIiKyGZNKIiIiIiIishmTSiIiIiIiIrIZk0oiIiIiIiKyGZNKIiIiIiIishmTSiIiIiIiIrIZk0oiIiIiIiKyGZNKIiIiIiIishmTSiIiIiIiIrIZk0oiIiIiIiKyGZPKfk4IESOEkEKIZa5uiyMJId4VQpwWQvi7ui3d0VvbbYkQIs30d/dLWx4nIurLGJvdW29ttyWMzdQTTCrJZYQQNwgh/i6E2CiEOGc6UH1gxc9FCiHeFkKUCSEahBDFQoiXhRADOnl+OoBbATwnpbzQwePfmV57Vg9+l6FCiCYhxN/ttV9L7XY33fk8pZTbAKwE8JQQIqC7jxMRkWMwNlvcJ2MzYzN1gEkludKjAO4DMB7ACWt+QAgxCsA2AHcCyAXwEoAjAB4AsFkIMaiDH3sGwDkAr3ey2zQA0rRfW10L9f/0mR33a6nd7qa7n+dfAAwDcL+NjxMRkf0xNneNsZmxmTrApJJcaSGAeABBAP6flT/zDwBDANwvpZwrpfyjlHIWVABLgDrYNxNCxAO4DMBHUsq69jsTQowEMBDAISlljc2/CXAdgEoAP9pjv5ba7aa69XlKKXMB7AdwtxDiomORpceJiMghGJs7wdjM2Eyd4x8DdUoIMV8I8aMQokYIUSeE2CWEWCyE8O7guUII8YAQYq8Qol4IcUII8aoQItg0BKa4/c9IKddLKYuklNLK9owCMBtAMYDX2j38BIALAG5tN8fhFwAEgA872e1E022+NW3opF1BAGYB+FJK2WSn/XbabiHEb03DV37RwWPBQgijEGKdja9rs+5+nib/BRAF4HIbHyci6lcYm63D2KwwNpOzMKmkDgkhnoU6aCYBWA7gVagD6bMAVgshvNr9yGsAXgYQDOBNACuggsz3ALR2atZM0+13Ukpj6weklOcBbALgByCj1UOXAWgCsKWTffY4cAG4GoAXgM/tuN+u2p1muu1o6M4EqM+pJ8OFnGmT6bazwGTpcSKifoOxuVsYm23H2Ezd5unqBpD7EUJkAlgM4DiASVLKctP9i6EOzlcDWAQVxCCEmAo1pOIggMlSymrT/X8CsAZAOIASOzQtwXR7sJPHi6CCZTyAtaZe0fEA9nUxmd4eges6qJ7Y7+yxXyvaPQFAPYA9HTxmDmrbLbzG7wCEdKNZBVLKld14vrXyTLfTbHyciKhfYGzuNsZm2zE2U7cxqaSOmIduPG0OWgAgpTQIIR4C8BMAv4QpcAG43XT7jDlomZ7faAp22XZqV7DptrN5EOb7zQfkCAAeAE529GQhhIAKAkZYONB3RgjhA+BKAN9KKevttN9O2216vSQA26WUhg5+tque0tZ+ByC6G216F6rim11JKWuEEPVQw2i6/TgRUT/C2GwlxuaeYWwmW3D4K3Vkgun2orH/UsqDAEoBjBBCmANJqum2owC1BUBHB1hnMFebO9vJ43FQwfCAlLK29QNCiLWmuRHtt2/a7eNyAAFoO7ymp/vtqt3joDqDOgtMaQDOQ/UMd0pKGSOlFN3Y7uhqfz1UBWBwDx4nIuoPGJsZmxmbyW3xSiV1xByQOuxFNN0fBdXrWNPq+afaP1FK2SSEqLRTu8y9ncGdPG6+39wja67M5tPJ87saBjMBwCMA3m53v67d99cDaATwtR3321W7zScVFwUu04lELICN3ZyQ72q+aPmdbXmciKg/YGxmbHYmxmbqFiaV1BFzgBgG4HAHj4e1e9450+1QqHWpmgkhPKB696xa68qCA6bb+E4ejzPdmud1nDbddrQ+FtBJgDFVsgsB8EPrIUbtmX63OQDWtStN3qP9Wmh3p4ELwBSoQgAWh/W4y7wNocqRhwA4asvjRET9CGMzY3N7jM3kNphUUkd2QB0gZ6Bd4BJCxAKIBHC01RyNHVDDbC5Bu8AFVe3NXn9n6023s4UQmtZV5oQQgVAHbh1aqrKdBFCBliIC7XXWa5kGVd1th4X2TIMKLp+3u7+n++2q3ebA1dGJwM9Mt9ZUl3OLeRtQv6MAUGDj40RE/QVjM2Nze4zN5DY4p5I6Yh7+8agQItR8p6n370Wov5t/t3r+e6bbR1rN5YCptPmzsBMp5WGoKm4xAO5t9/CTAPwBvG+uymYaZvIjgMGmgNvM1MuWio4DSRrUZPzTQojaVtvH7Z53HdSE/1X23G9n7RZCaAEkm769pN3vMx/Az03f7oIFbjRvw1xifr2NjxMR9ReMzYzNjM3ktnilki4ipcwRQjwP4GEAu4UQn0CV5b4KwFioSf8vtHr+D0KINwH8GsAeIcSnAPRQw09qAJRBHeDbEELMBTDX9O0w022mEGKZ6eszUspF7X7sHgA5AF4RQlwKYB+AyVDrZB2EmhPR2qcA5gG4AsChVvcnQk3i3yWlbD8nYILp5/7Y7v7mYTSmKnJzAWyWUraer9Kj/Vpo91ioNbdOAVguhPgcQCWAFKhgeRpqmNPjQogXpJSdrf/lEDZ+nrOhgvwqdMzS40RE/QJjM2OzLRibyWmklNz68QbVsygBLOvgsZ9BBanzaFl76REAPh08VwNgIYD9ABqggtVrUBP0z0ON+2//M0tMr93ZVtxJm4cDeAdqKEoj1DpbLwMY0MFzzQf6re3uv830Gm938DOVABZaeN/STT//oD3321W7Adxl2vc9UL3SZ6BOKNZBDet5yPR9PoBwF/wtdevzNP1t1AFY2cn+unycGzdu3PrqxtjM2GzHvyXGZm5O2VzeAG59e4OaoC8BrHBhGxab2pBqxXNHmJ47w8LznjU9b4SVbbBqv12123QiIKEWvXb5Z2uHz+W3pt/nElse58aNGzdutm2Mzd3bb1ftZmzmxk1tQsreVN2Y3JUQYhiA07LtBH0/AB9DLci8QEr5kYva5gNVna5QSjnHwnNvgGpzElrKn5udkaZFjYUQ+wA0SCnHW9kGq/bbVbuFEJuhemED5cXDd3oVIYQvVKGJHCnlDd19nIiILGNsttgGxuZWGJupJzinkuzldwBuEkJsgBr6MgzApVDV6L6FOmi7hJSyXghxK4CZQgh/aSoW0Ik00+2+9rsBMBCmoCOlTOpmM6zab1fthlpceX9vD1omMQDeBLDMxseJiMgyxuauMTa3FQPGZrIRr1SSXZgm5i8CMB7qQGyAmpy/HMDLUkq9C5vX6wkhxgDYDeA/UsqfW3o+ERERY7NjMTYTtWBSSURERERERDbjOpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERkMyaVREREREREZDMmlURERERERGQzJpVERERERERks/8PSDUqFeJbaQEAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# keV (local comoving frame)\n", "E = np.ones(1000) * 0.2\n", "\n", "# cos(angle to local surface normal in comoving frame)\n", "mu = np.linspace(0.01,1.0,1000)\n", "\n", "fig = plt.figure(figsize=(16,8))\n", "\n", "# Hydrogen\n", "\n", "ax = fig.add_subplot(121, projection='polar')\n", "\n", "ax.set_theta_direction(1)\n", "ax.set_thetamin(-90.0)\n", "ax.set_thetamax(90.0)\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[6.0, 13.8]]*1000)\n", "\n", "H_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=H_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "ax.plot(np.arccos(mu), np.log10(H_fully_I/np.max(H_fully_I)), 'k-', lw=1.0)\n", "ax.plot(-np.arccos(mu), np.log10(H_fully_I/np.max(H_fully_I)), 'k-', lw=1.0)\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[5.5, 13.8]]*1000)\n", "\n", "H_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=H_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "\n", "ax.plot(np.arccos(mu), np.log10(H_fully_I/np.max(H_fully_I)), 'r-', lw=1.0)\n", "ax.plot(-np.arccos(mu), np.log10(H_fully_I/np.max(H_fully_I)), 'r-', lw=1.0)\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[6.5, 13.8]]*1000)\n", "\n", "H_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=H_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "\n", "ax.plot(np.arccos(mu), np.log10(H_fully_I/np.max(H_fully_I)), 'b-', lw=1.0)\n", "ax.plot(-np.arccos(mu), np.log10(H_fully_I/np.max(H_fully_I)), 'b-', lw=1.0)\n", "\n", "ax.set_rmax(0.05)\n", "ax.set_rmin(-1)\n", "ax.set_theta_zero_location(\"N\")\n", "ax.set_rticks([-1.0,-0.5, 0.0])\n", "ax.set_xlabel('log10$(I_E/I_E(\\mu=1))$')\n", "ax.xaxis.set_label_coords(0.5, 0.15)\n", "_ = ax.set_title('H (fully-ionized)', pad=-50)\n", "\n", "# Helium\n", "\n", "ax = fig.add_subplot(122, projection='polar')\n", "\n", "ax.set_theta_direction(1)\n", "ax.set_thetamin(-90.0)\n", "ax.set_thetamax(90.0)\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[6.0, 13.8]]*1000)\n", "\n", "He_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=He_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "ax.plot(np.arccos(mu), np.log10(He_fully_I/np.max(He_fully_I)), 'k-', lw=1.0)\n", "ax.plot(-np.arccos(mu), np.log10(He_fully_I/np.max(He_fully_I)), 'k-', lw=1.0)\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[5.5, 13.8]]*1000)\n", "\n", "He_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=He_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "ax.plot(np.arccos(mu), np.log10(He_fully_I/np.max(He_fully_I)), 'r-', lw=1.0)\n", "ax.plot(-np.arccos(mu), np.log10(He_fully_I/np.max(He_fully_I)), 'r-', lw=1.0)\n", "\n", "# log10(eff. temperature [K]) and log10(local eff. gravity [cm/s^2])\n", "local_vars = np.array([[6.5, 13.8]]*1000)\n", "\n", "He_fully_I = xpsi.surface_radiation_field.intensity(E, mu, local_vars,\n", " atmosphere=He_fully,\n", " extension='hot',\n", " numTHREADS=2)\n", "\n", "ax.plot(np.arccos(mu), np.log10(He_fully_I/np.max(He_fully_I)), 'b-', lw=1.0)\n", "ax.plot(-np.arccos(mu), np.log10(He_fully_I/np.max(He_fully_I)), 'b-', lw=1.0)\n", "\n", "ax.set_rmax(0.05)\n", "ax.set_rmin(-1)\n", "ax.set_theta_zero_location(\"N\")\n", "ax.set_rticks([-1.0,-0.5, 0.0])\n", "ax.set_xlabel('log10$(I_E/I_E(\\mu=1))$')\n", "ax.xaxis.set_label_coords(0.5, 0.15)\n", "_ = ax.set_title('He (fully-ionized)', pad=-50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate the specific intensity indirectly via global variables" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also calculate intensities by specifying spacetime coordinates at the surface and values for some set of global variables that control the radiation field." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "xpsi.surface_radiation_field.intensity_from_globals?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating parameter:\n", " > Named \"frequency\" with fixed value 2.053e+02.\n", " > Spin frequency [Hz].\n", "Creating parameter:\n", " > Named \"mass\" with bounds [1.000e-03, 3.000e+00].\n", " > Gravitational mass [solar masses].\n", "Creating parameter:\n", " > Named \"radius\" with bounds [1.000e+00, 2.000e+01].\n", " > Coordinate equatorial radius [km].\n", "Creating parameter:\n", " > Named \"distance\" with bounds [1.000e-02, 3.000e+01].\n", " > Earth distance [kpc].\n", "Creating parameter:\n", " > Named \"cos_inclination\" with bounds [-1.000e+00, 1.000e+00].\n", " > Cosine of Earth inclination to rotation axis.\n" ] } ], "source": [ "# unimportant here; just use strict bounds\n", "bounds = dict(mass = (None, None), \n", " radius = (None, None),\n", " distance = (None, None),\n", " cos_inclination = (None, None))\n", "\n", "spacetime = xpsi.Spacetime(bounds, dict(frequency = 1.0/(4.87e-3))) # J0030 spin" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# keV (local comoving frame)\n", "E = np.logspace(-2.0, 0.5, 1000, base=10.0)\n", "\n", "# cos(angle to local surface normal in comoving frame)\n", "mu = np.ones(1000) * 0.5" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "colatitude = np.ones(1000) * 1.0 # radians\n", "azimuth = np.zeros(1000)\n", "phase = np.zeros(1000)\n", "global_vars = np.array([6.11]) # just temperature (globally invariant local variable)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[Spin frequency [Hz] = 2.053e+02,\n", " Gravitational mass [solar masses],\n", " Coordinate equatorial radius [km],\n", " Earth distance [kpc],\n", " Cosine of Earth inclination to rotation axis]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spacetime.params" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "spacetime['radius'] = 12.0\n", "spacetime['mass'] = 1.4\n", "# we do not need the observer coordinates (typically handled\n", "# by xpsi.Spacetime instances) to compute effective gravity so\n", "# no need to set values\n", "\n", "# the first 5 arguments are 1D arrays that specific a point sequence in the\n", "# joint space of surface spacetime coordinates, energy, and angle\n", "# if you have a set of such points that does not conform readily\n", "# to a 1D array, write a custom wrapper to handle the structure\n", "# in your point set\n", "I_E = xpsi.surface_radiation_field.intensity_from_globals(E,\n", " mu,\n", " colatitude,\n", " azimuth,\n", " phase,\n", " global_vars, # -> eff. temp.\n", " spacetime.R, # -> eff. grav.\n", " spacetime.zeta, # -> eff. grav.\n", " spacetime.epsilon, # -> eff. grav.\n", " atmosphere=H_fully,\n", " numTHREADS=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that only the `hot.pyx` extension is invoked here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the spectrum and also the spectrum generated by declaring the effective gravity directly above:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,8))\n", "\n", "plt.plot(E, hot_I, 'k-', lw=1.0)\n", "plt.plot(E, I_E, 'r-', lw=1.0)\n", "\n", "ax = plt.gca()\n", "ax.set_yscale('log')\n", "ax.set_xscale('log')\n", "ax.set_ylabel('Photon specific intensity')\n", "_ = ax.set_xlabel('Energy [keV]')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.18" } }, "nbformat": 4, "nbformat_minor": 1 }