{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "R5AyOpZmVZds" }, "source": [ "# Imports and configuration" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "wkwgWM_UuEt7" }, "outputs": [], "source": [ "# This notebook was developed by Jocelyn Read jread@fullerton.edu to work with the igwn distribution and Python 3.10.2\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "2lXbva6yuPOj" }, "outputs": [], "source": [ "from astropy.cosmology import WMAP9 as cosmo\n", "import astropy.units as u\n", "from astropy.cosmology import z_at_value\n", "\n", "from scipy import interpolate\n", "import scipy.integrate as integrate\n", "\n", "import matplotlib\n", "\n", "#plt.style.use('seaborn-talk')\n", "matplotlib.rcParams.update({'font.size': 18, 'mathtext.fontset': 'stix'})\n", "matplotlib.rcParams['figure.figsize'] = (12., 8.0)\n", "matplotlib.rcParams['xtick.labelsize'] = 16.0\n", "matplotlib.rcParams['ytick.labelsize'] = 16.0\n", "matplotlib.rcParams['axes.labelsize'] = 20.0\n", "matplotlib.rcParams['axes.grid'] = True " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 0 }, "id": "PBkyIsiDK01w", "outputId": "1365f04c-3c73-4a74-f12b-3e767a5dd161" }, "outputs": [ { "data": { "text/plain": [ "'tab:blue'" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "colorlist = list( matplotlib.colors.TABLEAU_COLORS.keys())\n", "colorlist[0]" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "wMEIufgC-NAu" }, "source": [ "In this document, we explore the scaling of reference science metrics with the geometry of a new facility, when a detector is added to an existing network of comparable sensitivity. \n", "The goal is to determine the appropriate power $\\alpha$ of a scaling relationship of the form $[\\text{science}]\\propto L^\\alpha$ for armlength $L$. \n", "\n", "This scaling relationship is desired to allow comparison between different interferometer geometry proposals: for example, if a proposed $XG$ site geometry has 1.5$\\times$ another's armlength, how much ``better'' will the resulting XG network be? A simple scaling metric can be used to quickly evaluate cost tradeoffs for variant scenarios.\n", "\n", "The relevant characteristic of the facility is for a two-arm detector the quantity $L \\sin \\theta$, with $L$ the armlength and $\\theta$ the opening angle.\n", "The primary impact of this characteristic is to change in the observatory's recorded signal amplitude for a given source.\n", "\\begin{equation}\n", "A(f) \\propto \\frac{D_0}{D_L}\\frac{L \\sin \\theta}{4 \\text{km}} A_0(f)\n", "\\end{equation}\n", "\n", "\n", "For a fixed source, this means a larger signal to noise ratio (SNR): $\\rho \\propto A$. Science metrics we consider here:\n", "\n", "* SNR of fixed source - inversely proportional to measurement error for that source.\n", "* Number of sources with a given loud SNR (sensitive volume in the nearby universe assuming uniform distribution).\n", "* Redshift of most distant observable binary black hole: $z(D_{H})$ with BBH horizon distance $D_{H}$. Roughly scales like $D_{H} \\propto \\rho_\\text{fixed}$\n", "* Total sensitive time-volume of BBH within that horizon. \n", "* Redshift of most distant observable binary neutron star: $z(D_{H})$ with BNS horizon distance $D_{H}$. Roughly scales like $D_{H} \\propto \\rho_\\text{fixed}$\n", "* Total sensitive time-volume of BNS within that horizon\n", "\n", "\n", "For each of the metrics listed above, the relevant SNR is the standard integrated ratio of the expected signal amplitude squared to the power spectral density of noise in the interferometer over all frequencies, but a similar quantity can be constructed for specific measurement goals.\n", "\n", "For each of these categories, we will look at the change in the metric described and fit that difference to a power-law scaling with the length of the new facility. For example, for the SNR of a fixed source, we write $\\Delta \\rho = \\rho - \\rho_0 \\propto L_{new}^\\alpha$ and fit for the coefficient $\\alpha$ for the specific initial network $\\rho_0$ and the total $\\rho$ after adding a new interferometer with length $L_\\text{new}$.\n", "\n", "Detectors will also have a source-specific factor $F$ which depends on how well the frequencies containing signal information are measured by the instrumentation installed in the observatory, such that\n", "\\begin{align} \n", "\\frac{\\rho_\\text{target}}{\\rho_{0,\\text{target}}} = F \\frac{D_0}{D}\\frac{L \\sin \\theta}{4 \\text{km}}\n", "\\end{align}\n" ] }, { "cell_type": "markdown", "metadata": { "id": "ONJv1vuJVfav" }, "source": [ "# Context for new detector impact" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "yaNeubm5_3gb" }, "source": [ "\n", "Premise: Each component observatory will contribute to the total SNR of the signal in the detector network in quadrature.\n", "Therefore, impact from a new detector with signal SNR $\\rho$ is:\n", "\\begin{align}\n", " \\Delta \\rho = \\sqrt{\\rho_0^2+\\rho^2}- \\rho_0\n", "\\end{align}\n", "\n", "If $\\rho_0 \\ll \\rho_\\text{new}$, network contribution $\\simeq \\rho_\\text{new} - \\rho_0$. If $\\rho_0 > \\rho_\\text{new}$, network contribution $\\simeq \\frac{1}{2} \\rho_\\text{new}^2 / \\rho_0$." ] }, { "cell_type": "markdown", "metadata": { "id": "T9KxYzh5dyWW" }, "source": [ "#Plots demonstrating $\\rho_0$ impact on SNR change" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 538 }, "id": "gltmNMINaets", "outputId": "5ce547f9-a628-4165-d315-4d279551370e" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# baseline network\n", "rho0 = 1\n", "# new detector\n", "rho = np.linspace(0.1,10,1000)\n", "# impact on network sensitivity\n", "newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2) ) \n", "deltarho = np.sqrt(np.power(rho0,2)+ np.power(rho,2) ) - rho0\n", "plt.title(r'Network sensitivity to reference signal')\n", "plt.hlines(rho0,.1,10,color='tab:green',label = r'initial network $\\rho_0$')\n", "plt.loglog(rho, rho, label = r'new facility $\\rho_{new}$')\n", "plt.loglog(rho, newnet, label = r'new network $\\sqrt{\\rho_0^2 +\\rho_{new}^2}$', color='black')\n", "plt.loglog(rho, rho0 + np.power(rho,2)/ rho0 /2, label = r'$\\rho_0 + \\frac{1}{2}\\rho_{new}^2/\\rho_0$')\n", "plt.loglog(rho, newnet, color='black')\n", "plt.xlabel(r'$\\rho_{new}/\\rho_0$')\n", "plt.ylabel(r'$\\rho / \\rho_0$')\n", "plt.ylim(.5,10)\n", "plt.legend()\n", "plt.savefig('network-sensitivity-rho0', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 541 }, "id": "HEzoB4audwgr", "outputId": "37c07cb9-e7b1-49b2-9d98-19fafad35d60" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.title(r'Change in sensitivity $\\Delta \\rho_{net}$ from $\\rho_{new}$')\n", "plt.loglog(rho, deltarho, label = r'$\\sqrt{\\rho_0^2 +\\rho_{new}^2} - \\rho_0$',color='black')\n", "plt.plot(rho, np.power(rho,2)/rho0/2., label = r'$\\frac{1}{2} \\rho_{new}^2 \\, /\\rho_0$')\n", "plt.plot(rho, rho-rho0, label = r'$\\rho_{new} - \\rho_0$')\n", "plt.xlabel(r'$\\rho_{new} / \\rho_0$ ')\n", "plt.ylabel(r'$\\Delta \\rho / \\rho_0$')\n", "plt.ylim(0.01,10)\n", "plt.legend()\n", "plt.savefig('network-sensitivity-delta-rho0', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": { "id": "rIK0FsAxVmJY" }, "source": [ "# Impact of new detector on fiducial signal SNR" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "V7wZqR1ctF6h" }, "source": [ "\n", "We focus the scaling estimates on candidate configurations with $L_\\text{new}\\sin \\theta_\\text{new}$ that range from $ (3 - 6)L_{LIGO}$ are being considered.\n", "They are being added to a network of two other detectors of comparable strength; this means we expect $\\rho_0 = \\sqrt{2} \\rho_\\text{new}$\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "id": "mNbpg6-pYBie" }, "outputs": [], "source": [ "rho = np.linspace(4,6,100) # Range of candidate additions in LHOs\n", "refname = \"LIGO\"" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "I_2cJNpjocH9", "outputId": "72003763-250f-470a-a001-032bb17051e8" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2 detectors: [5.65685425 7.0853528 8.48528137]\n", "3 detectors: [ 6.92820323 8.6777495 10.39230485]\n" ] } ], "source": [ "print('2 detectors: ' , np.sqrt(2) * rho[[0,50,-1]]) # network with two other detectors of comparable strength, lower/mid/upper range\n", "print('3 detectors: ' , np.sqrt(3) * rho[[0,50,-1]]) # network with two other detectors of comparable strength, lower/mid/upper range" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "lJflqXSK3YHD" }, "source": [ " So $\\rho_0 \\simeq ( 5.7-8.5) \\rho_{LIGO}$. \n", "\n", "We measure results here in \"LIGOs.\" However, an XG facility of the same length will tend to have larger SNR due to wider sensitive band. We scale the resulting SNR of the XG observatory network by a phenomenological amplitude factor $F$. This $F$ factor is source-specific, and is approximated here as a fixed value based on existing horizon changes.\n", "If $F=1$, then $\\rho/\\rho_{LIGO} = L/L_{LIGO}$. \n", "\n", "\n", "It is straightforward to re-check these constants for other ranges of $\\rho_\\text{new}$ and $\\rho_0$, or to modify the reference values for the estimate of $F$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "5F7CEByaZKSr" }, "outputs": [], "source": [ "starting_network = [5,7,9]\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Nearby signals: These results ``in LIGO'' scale directly with $F$, so we take $F=1$. \n", "\n", "\n", "Science metric: Change in signal-to-noise for a fixed signal. \n", "\n", "New network sensitivity $\\Delta \\rho = \\sqrt{\\rho_0^2 +\\rho_{new}^2} - \\rho_0$ in LIGOs. These would scale also with $F$.\n", "\n", "This scaling is shown in Figure \\ref{fig:delta-network-snr}. It should apply to most sources (not only transients).\n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "KvI_o9ZqaXQ2", "outputId": "50de7cb1-5cac-494f-e12e-d6b681517349" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAusAAAIGCAYAAADtI8FhAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAACGWUlEQVR4nO3dd3hc1Z3/8fdXxVaXXNWbsXGvmN5kcMDBlOBACksICSVZSEhZyC4hIWQ3hQ1kCftL2U2AAIGE7BJCYGkpYEgnwRhs4wLYli33pi5Z7fz+uHdGo5Fka+QZzUj6vJ5nnrHunDv33KvR+DNnvvdcc84hIiIiIiKJJyneHRARERERkb4prIuIiIiIJCiFdRERERGRBKWwLiIiIiKSoBTWRUREREQSlMK6iIiIiEiCUlgXGQQz22pmzr+ddYR2gTZZQ9m/RGRmFf6x2BrF55xgZl8zs9fNrMHMDpvZDjP7u5l9z8wu62OdlSG/l6uO8NyB3/GcsOUPhqwfuLWZ2U4ze9LMzovW/kliCHktVMS7L/0xs6pI/r4G0t48F5vZI2b2bsjf2G4ze9HMbjez44+ynfF+u7+a2YGQv9EnzewDZmaR7emA9+tIt9XR3GbItqeb2Wf847XBzLr87V0Yi+3J6JES7w6IjADfAM6I9UbM7A7gK8BXnXN3xHp7ic7MZgO/A/KBBuBVYA+QAywAbgA+CDx+hKe5w8x+5pxrH0QX3gBW+//OBhYBlwCXmNm/OOf+fRDPKSOEmTkA51xUw+hQMbNivL+dU/xFG4DfAi3AZGAxsAT4ipnd6pz7Vh/PsRx4FMgF6oE/AnVABXAR3t/Lp83sUufc/ijvQhP9/+1vi/K2Av4R+EyMnltGMYV1kWPTDJxuZsudc8/EuzOjzMN4Qf1nwCedc/WhD5rZQuDyI6zfDFQC1wPfG8T2nwz90GRmKcA9wKeAfzOznzrntg/ieUXiyswmAn8CyoCXgU8559aGtUkG3gvcDvQaXTezpcCvgGTgLuArzrmWkMenAT/BG+h40cxODn08CvY7566O4vMNxFq8ff078BpwP3D2EPdBRiCVwYgcm+/691+L9te50j8zm4o3kt0BXBce1AGcc6875754hKcJ/O6+ZGYZx9on51wHcAveCGIq8J5jfU6ROPkvvKD+CvCe8KAO4JzrdM79H97I+/dDHzOzdLwP08nA3c65L4QHcefc23h/I28Dc4F/i8WODCXn3H3+vv6Pc+7dePdHRg6FdZFj8yiwDq/s4gORrGhmY83s02b2ZzOrM7NWM1tvZv9mZtlhbbfilcCA97VzaP3lHWaW4teTNphZati6nw9pWxj22KX+8gf66N+lZvZbMzvk15m+a2b/z8yK+mgbrEc3s1Qz+6KZrTOzloHUh5rZZPPqzJ2/jaO9N0327xudc01He/5+/B54HigAPj3I5+jBOdeKFz7AG/WPSMhr4g9mVuu/Jjab2WNmdk4f7aeY2X1mVm1e3fx+M3vGzPr8oGDd9fpVZna2//utM7ODfg3xNL9dkpn9U8jvcIeZ/buZjenjOQM1/Feb2WJ/+wfNrMnfjz7rdc3sZDP7tpm9ZmZ7/dfYdr/ed04/64Ru6wS/z3vNqw1+X0i7yX5/3zKzZv/v4i9mdm1/H6r9df7bvHMPWs1so/86jugbaL9vLuTnHvXSYW2TzOzjZvZH//fQ4r8HfMPM8iLZbrSY2XRghf/jDUcrEXPOdTnnVoUt/ghQCOwFvnSEdRvwPuACfNLMcgfXa5GRTWFd5Nh0AV/2//2v5n01fFRmNg7v6+X/xPsK+a94wTEH7z+3P5vZ+JBVHserkca/fyjkttof1f09kAWcFLa5c/r5d+jPL4X1727gCbyvcFf5/za8Eo/XzWxuP7uWBDyJd0y2A08BW/ppG9jWNODPwAnArc65Tzvnuo60jv/cAHlmduVR2h7JbYADvhDFoJDj3++NZCXzSg/+iPeaWAD8Be9Y7gYuBm4Ka38a8DpwDV5Jzy/wPjguA35tZv9yhM1dglfvnwG8ABzyl73i9+N/gK/6234Rr+b4C3gjrv05BfgDcJz/nK8DpwNPm9kn+mj/dbo/JP0JeAavHvofgFftCCduA2fivWZm+vvxO6AdguVPb/r9TQd+7bedBfwIeCT8yfwPoK/ilUSBV76xBe8D8v8eoR99eQfv7zLgobBbYJsGPIZXKrEI73f/NJAH3Ar8zby68aF2Ad7f+mrn3LpBPkfgA9r/OOcOH6Xt/wG1QCZeDbyIhHPO6aabbhHegK14IW+O//Or/s/XhLVz/i0rbPkv/OUPA9khy9OABwOPha1zh7/8jn76dLP/+JdDliXjndC1Bu+DxQNh66zz1ykOWXahv+wQsChkeQrwA/+xdUBSyGMVIfu6Bajoo3+BNltDlp2EF2rbgKsi/B08G7LNP+GFy4uBgqOst9Jf50L/5//1f/63I/2OQ5YHfj+9fg/ANLzQ2A6UDnJ/fgNMDHssDzg77HWyPdAPwEIeOxdo9X/fp/Wz753A+0KWj8UL5Q6v7vat0N8hXplCm/+cFa7v4+GAfw/ry6X+tlqBKWHrnQ9MCltmwCf951of+lx9bOsrfTyeCVT7j38m7DVajFdH7ICPh633pL/8KSA9ZPksvJOWA9vs9bo+wu/TAe4Ij3/Kb7MVqAxZno73YcEBz0ewvSrC/r4G0x6vjtwB90Xy+g17jhr/OT4ywPaB196/Dnabgz0OfbyuBno76vMT9l6jm26DvcW9A7rpNhxv9A7rS/2fq4GxIe16hXW84OPwZlcY08dzZ+CNaLYD40OW38GRw/oi//GXQpad4i+7HW9EvjrksXz/sY1hzxP4j/Nf+thGut83B7w3ZHlFyL5+qJ/+Bdps9X9ejjdjQwNw/iB+B+Po/tATflsD3Aik9LFej/9AgRl4te8NhITH8N9xyPLAf+x3hCzLxhsVXOM/dlOE+3KCv95+IHcA7a/y279FSCANefw//cd/3s++P9LHOpeEHL9z+3j8l/5jH+3neGwDUvtYL/Bh6N8jOB5/9NeZ3c+2+tvvT/uPP9DP8waO86qQZeV4H0IOAyVHeM5oh/V3+/t7wSshafEfnznA7VWF/n0Ntj3wnL/8m/2s90H/99DjFtYm0PcB/V3jfcPggO8P9PgOYL+OdKsIW+favvbpKLe7B9CXlSis6xaFm2aDEYkC59xvzewlvMD2SeDeIzRf5t8/7Zxr6+O5ms3s73hhdjHe1/gDsRo4CJxqZunOO6ErUObyIl64/ayZHee8k596lcD49bmn+T/2KhdwzrWY2f/gBZiz8f5jD/fk0TpqZh8H/tvv73Ln3N+Pune9+3IIeL+ZzQDeh1dycQJe0JmDdwLp+83sve4IX8U75zaY2cPAx4AvAp8bYBe+YmZfCVvWjjdi/auIdgYCc7M/4ZyrG0D7QInIT13fJUMP0v076ktfr6l3/Pt2vJDR3+O9zlnwPe76rm9+BLiM7j4HmdlkvCn8ZuGV2gT+Tyrw74/H+xYn3K/62e/A39Yv+uqgc+41M2sE5ptZmvPOMTgLb0T/FedcTR+r/QTvw0/UmFkJMAXv24peZTbOuV1m9hu8Y3M23rcMieJE4KN9LL96iPtxNEeaurEx9Afn3H3AfTHvkcggKayLRM8X8Wpjv2hm9zvnGvtpV+Hf32xmNx/lOScNdOPOuS4zexmv9OB0vDmRz8X7T+uv+GHdX/Yu3fWhL4Y8zQS8kog2YEc/m9rs3/dVT7vXD0BHUoJXp9uJN4Lba6aJSDjnNgB3Bn726+lvwTvJbQnePh9tzvM78Gql/9HM/sMNbMrF0HnWJ+LVUecAD5jZ6X6/BqrMv980wPaBY7+ln8cDv6N8M0tx3jkNofoKpYETdXc75zqP8PjYfrZZ3c/yrf59SehCM7sB+DZeSU9/cvpZ3t882RX+/f/1cx5pqAl4r/HAsdzaVyPnXK2Z1eF9mIiWwDa39XOs4ch/Z7EUmO98Yl8POuduxiu5w7yLvTX00ewAXr8n9/FYXwLtojnXejymbhSJCYV1kShxzv3FzJ7GGw37LPC1fpoGTux+laOPmPUXgPrzIl5YP8fMfo83Sv6Sc67dD/KdeGH9h3gj646eJ5dGMv2k62PZQOZJ3otXLnIecK+ZXeSca45gu0fulHNrgKvMLAevtONijhLWnXPbzOy/8Uajv4L3tfjRPOl6zrOei1fzfBbwqJmd2M/o7xG7MsB2R/s9uX7+HXCkfkXa5yNtB7r7GnzczE7E++ajA/g83smlNUCLc86Z2U+BD9P/fvb3Ogv8bT2Fd87FkYR/2zLQYx8Nx/p3FkuvA1fifUt1LM9RjDcK/5MjNfRPyl8Yst6QM7NrifzCdvv9Dy4iMaewLhJdt+GdoHmzmfV3oZ3AqO2vnXNf7qfNYAVGyc/BO1ExDW+mDJxz9Wb2GrDEzMrxZu1Y65zbF7L+frwQMxbvP9u+RmAr/fudg+xjG16A/gVeqc9z5l1Uqr9vIgbrd3hhfaDfTnwd+DjwUTPrdTXGo3HO1ZnZh4GNeOcP/ANHCSohAh/Kpg+wfeD3UtnP41P8+z1HGLmNtvKjLA/9pub9eIH1P51z9/SxztRB9mE73jkI/+mc+90A1wn0q6KvB/0PYdEcVYfu31+ZmSX38zs61r+zwXoWuBtYaGYznXODKcH5P7z3wQ+Y2S1HKkPDew/Iw5vR6KUjtIulM+i7tOdIqvG/YRCJNU3dKBJF/qjuY3j/uf9zP82e9+8vtaPPJx4qUN/e74ds59xbeCeALsYbYYeeZS4v4oXXz/TxGH65xJ/8H3tNiWhmaXTPJ/9yBH0P7+dhvLmcn8QbiX7BHwkfkP7myg4TCHx9feDoq0978GqTU4B/HWhfwp5jJ94VDAG+PNCpPOmuIV8xwOPwin9/RT+voUDwGPTvaBAu62dO8iv8+1dClgWmJe1VbuSfg7AwfPkABf62LotgnVfwRq/P7meqxMFODRqYSrLXMfFr47cAY+jjKrtmVkD3eQyvhD8eS3751pP+j9+LdJ5538N4s+jk483S1Ce/jCbwwfi/nXO1g9jWMXPOXe2cswhvFfHoq4xOCusi0Xc73tf7fV5ox3kXEHkKmA08Yma9Lp5jZpVmdmPY4sAI4MyjbP8lvCkbr8OrHV0d8lggnP9j2M+hAiOdXzCzRSF9SsarMS7AK9954Sj9OCL/5NrL8U4COw34TQQXgplnZr8zswv7ChNmtgLvRF+An0fQrW/hzfn8AQZxUSPfd/CO+zS8Uo6j8l8Tz+DVUf+PmU0IfdzM8sws9GTR/8V7PcwEbg/98GJmS4BP4AXQI53oHG1leNcaCO3LxXjB+TDeCcUBgXr+q/zAFmg/Afgxg//W90d4H84+YWb/Yma96uvNuxhTMCA756rx/h7HAN/1P5AG2s6g+zoKkTra32vg7+ybZhb8hsS8q3/+AO9bsRf8D+BD7ZN4x3EJ3pz9s8Mb+B8SzwtfDt6J6HgzFnUB/2xm3ww9rv76x+F9SJ2ON7tPr4snWfdFsB48tt0RGebiPR2NbroNxxv9TOsX8vgP6TlVWPg863l4FzFyeCfu/RFvRP7XeGUUDu9Ev9B1Cvy2Dm+07cd4MxhcHNbu2pDt/m/YY+l4wcnh1a/n9dP/u/027XjlND+le6q5vcDcsPYVHGXauP7a4H2w+Kn/2N8Jma7yCM+1IGQf6/A+oPwU76Iy74Q89hiQHLbuSo4wnRreicKhv7sBz7Me0uaf/Tbr6WOKwX7WmUj3POCNeDPt/Mx/bTTj1ciHtj/d3/fAdn7q71sn/U+9Gdj3qoH+fkIev6Ov/Q45Hv/lv7YCffk9XlhzwCfD1hlH9zzxe/BKon4F1OMF+V/6j13dz7auPsJxnB/23L/1Xwcv4wVoBzwWtk4x3X/TO/A+4D2LNz/8k3TP3V4RwXvEf9D99/IY3t/qfSGPJ+FdfMr5v9//87e701/2DiHXPxjA9qr89Q7jXVCrv9tnw9r39/suo/v6EQ4vUP/S/93+LuRYdgE/6ec5Lqb7NVqL94H0p3jf3gVep38CJvez/sN+mx8N4jj0+14Uqxte+Vvosa73+7IhZNkvh7pfug3/W9w7oJtuw/HG0cN6Cd1zDfcK636bFLzpzn6LVyvejlfC8ne8EezT+lhnCV4wraU7CN0R1qYyZLv/2MdzvOw/9vej7OMK/z/lWj8AbMY7KbBXgOAYwrr/WBLdQWw1YRcF6ufYnY13Eu/LeCUFLf5tK95o/SX9rLuSI4f1TLrnkh9sWM8AdtHPPNpHWC8Nb+rIv/r/0bf4x/1R+g7Yx+GFwO14ZVIH8ELmeUfZ976e64i/Q44e1q/Gu8jV8/5rphnvg0Z/x7kAb1agrXiheAveaHMe/YTy/pb38dzj8EZq/+Yfx1a8wP0y3tVBj+tjnXy8D9m78F7vm/C+JUul+++9IoLfZTre3/Fm/3fjANfH6/4avMDa4PdzA/BNYNxAt+U/V1XIa/ZIt++EtT/S36zhTYv6U38/mvxjs9t/Lf0rMO0o/Zrov3ZexZuqtQ3vA8lTwIcIu7BV2LqB6xacOojj0O9+xeo2wN/BkPdLt+F/M+ccIiIig+GXKHwU+Jhz7sH49kZGCr88cDfeSPSKePdHJJ5Usy4iIiKJ5ly8UpkvxrsjIvGmsC4iIiIJxTn3U+dciovs4mIiI5LCuoiIiIhIghq2NetmVoI348JivLP/04FK59zWkDbZeFcjXIx3lnY2sMQ5t3Ko+ysiIiIiEqnhfAXTqXhzIb+GN0VYX/O9TsC7IuEqvOnnIjpJZeLEia6iouLYejlITU1NZGZmxmXbw5GOV2R0vCKj4xUZHa/I6HhFRscrMjpekYnn8Xrttdf2O+d6XXV7OIf1V5xz+QBmdi19h/Vq59x4v81SIgzrFRUV/P3vfz/mjg7GypUrqaqqisu2hyMdr8joeEVGxysyOl6R0fGKjI5XZHS8IhPP42Vm1X0tH7Y16865rgG0GZ41PiIiIiIiDOOwLiIiIiIy0g3bE0xD+WUwPyLsBNOwNkvx6taPeIKpmV0PXA+Qn59/wmOPPRb1/g5EY2MjWVlZcdn2cKTjFRkdr8joeEVGxysyOl6R0fGKjI5XZOJ5vJYsWfKac25x+PLhXLMeE865H+JdcprFixe7eNUtqcYsMjpekdHxioyOV2R0vCKj4xUZHa/I6HhFJhGPl8pgREREREQSlMK6iIiIiEiCUlgXEREREUlQw7pm3cwu8/95gn//XjPbB+xzzr3st3kvkAnM9ducbWYTgSbn3HND2mERERERkQgM67AO/G/Yz9/3718Gqvx//wAoD2lzh39fDVTEqF8iIiIiIsdsWId155wNoE3FEHRFRERERCTqVLMuIiIiIpKgFNZFRERERBKUwrqIiIiISIJSWBcRERERSVAK6yIiIiIiCUphXUREREQkQSmsi4iIiIgkqGE9z7qIiIiIyGB0dHWwvWE7m2s3827du7xb+y5rd63l9K7TSU1KjXf3ghTWRURERGTEautsY2v9VjbXbmZz3WberX2XzXWb2Vq/lY6ujmC7wsxC8pLyaGxrZFzauDj2uCeFdREREREZ9prbm9lSt4V3694NBvPNdZvZ3rCdLtcFQJIlUZJVwpTcKZxVchbH5R3HcbnHUZlbSUZqBitXrkyooA4K6yIiIiIyjNQdrusxQh4I5ruadgXbpFgK5TnlHD/ueJZVLOO4vOOYkjuF8pxy0lLS4tj7yCmsi4iIiEhCcc6xv2V/z1DuB/MDrQeC7dKS06jMrWTh5IVclncZU3KnMCVvCqXZpQlVd34sFNZFREREJC66XBc7GnewpW5Lj9KVzXWbaWhrCLbLTs2mMq+Ss0rOCgbyKblTKMoqIslG9uSGCusiIiIiElPtne1U11f3CONb6rawtW4rrZ2twXbj08YzJXcKF1ReQGVuZbB8ZVL6JMwsjnsQPwrrIiIiIhIVgZM8Q8tWAid5drrOYLuizCIq8yo5qeCkHiPluWNz49j7xKSwLiIiIiIROdh6MBjEt9RtCQb08JM8S3NKOS7vON5T/p5gIK/IqSAjNSOOvR9eFNZFREREpJcu18Wupl1srt0cDOOB+9rDtcF26SnpVORUsCh/kTdK7t9Kc0bOSZ7xpLAuIiIiMoqF1pOHhvKt9Vtp6WgJtssbm8eU3CmcW3Zuj9KVgsyCEX+SZzwprIuIiIiMAg1tDT1KVgKhvKahpkc9eWFmIVNyp3BC/glMyZtCZU4lU/KmMD5tfBx7P3oprIuIiIiMEM459jbvZUu9NxXiHw7+gUdeeITNdZvZ17Iv2C4lKYWKnAqOH3c851ecT2VuperJE5TCuoiIiMgw097VzvaG7cGR8sA85Vvqt9DU3hRsl2ZpHD/2eE4tOjVYS16ZW0lJdgkpSYqBw4F+SyIiIiIJqrGt0Qvj9T0D+fb67XS4jmC7yRmTqcyt5KIpFwVryStzK1n313UsWbIkjnsgx0phXURERCSOAqUrodMgBm57W/YG26VYCmU5ZT1O8qzMraQip4KsMVl9Pvdb9tZQ7YbEiMK6iIiIyBBo62xjW/224Ch56K25oznYLis1i8rcSk4pOoXK3MrgrTRbUyGORgrrIiIiIlFUd7iuZy15YNaVxhq6XFewXUFmAZU5lbxv6vuCJ3hW5lYyMX0iZhbHPZBEorAuIiIiEqHOrk52Nu7sNUq+tX4rB1sPBtulJqVSnlPO9PHTOb/ifF3FUyKmsC4iIiLSj6b2JrbWbe0VyrfVb6Otqy3YbnzaeCpyKlhSuqS7dCWnkqKsIpKTkuO4BzLcKayLiIjIqNblutjTtKfHrCuBgL63ufsEzyRLojS7lMqcSs4sPpOK3IpgKM9Ly4vfDsiIprAuIiIio0JLRwvV9dVeEA+Mktdvobq+mpaOlmC74AmehacEZ1sJnOA5JnlMHPdARiOFdRERERkxnHPsad7D1vqtwVC+td6739W0K9jOMIqyiqjIrWBx/uJgKJ+SN4UJaRN0gqckDIV1ERERGXZaOlq8aRD90fFAMK+ur+4xDWJ6SjqVuZUsnLyQFbkrvNKVnErKc8pJS0mL4x6IDIzCuoiIiCSk0FHyQB35qj2r+Mbj3+g1Sl6YWUhFbgWL8hdRkVNBRW4FFTkV5Gfka5RchjWFdREREYmr5vZmr5Y8rHRla/3WHrXkGSkZTEiawMLChVyae2nw5M6ynDLSU9LjuAcisaOwLiIiIjHX5brY1bSLrXVbu0O5X76yp3lPsF2wljzHGyWvzKkMjpJPzpjMyy+/TNVZVfHbEZEhprAuIiIiUdPQ1hAM5KEj5Nvqt3G483CwXXZqNhW5FZxUcFIwjFfkVlCWXaZacpEQCusiIiISkfaudnY07GBr/Vaq66u7Q3ndVg60Hgi2S7ZkirOKqcit4NTCU4OhvDK3UjOuiAyQwrqIiIj04pzjQOsBttZt7VFPvrV+KzUNNXS4jmDbcWPHUZFbwVklZ/UYJS/NKiU1OTWOeyEy/Cmsi4iIjGLBKRDrt1BdVx0cLd9at5WG9oZguzFJYyjLKWNq3lSWli/tMeNK7tjcOO6ByMimsC4iIjLCdXZ1srNpZzCEB+rIq+ur2d20u0fbgswCynPKuWDKBT0CeWFmIclJyXHaA5HRS2FdRERkBHDOcejwoV5lK9X11Wxr2EZ7V3uwbeDkzhPyTwgG8sqcSkqzS8lIzYjjXohIOIV1ERGRYaS5vZltDdu8kfHQspX6rTS0dZetpCSlUJZdRnlOeY9a8vKccsanjdfJnSLDhMK6iIhIguno6mBn484eo+OBQB46JzmElK1UXkB5Trk3Up5TQWFWISlJ+m9eZLjTX7GIiEgcOOfY17KPt1vfZt+mfVTXdQfy8NlWcsbkUJFbwcmFJ1OeU05ZTpmu3CkySiisi4iIxFDd4boeI+Pb6rcF/93S0eI12gNjk8dSllPGtHHTWFq+lPKc8uBIed7YPJWtiIxSCusiIiLHqLm9me0N24NhPFBHXl1fTe3h2mC7JEuiOKuY8pxyTsg/gfKccmq31HLJmZeQn5lPkiXFbydEJCEprIuIiAxAe2c7NY01wRAeeguvI5+cMZnynPLgfOSBEz1Ls3tfJGjl7pUUZhUO5a6IyDCisC4iIuLr7Opkd/Nur368oWfpys7GnXS6zmDb3LG5lOeU96gjDwRzTX8oItGisC4iIqNK4MTOwKh4oGxlW/22XvORp6ekU55TzqwJs3hv5Xu9MJ5TRnl2OXlpefHbCREZNRTWRURkxAlcICg0iAcuDlRdX919YicwJmkMpdmllOWUcVbJWT1GySemT9SJnSISVwrrIiIybIXOtBII4tvqt7GtfhsN7d0XCEq25OCJnYvzF3uj4/5sKwUZBSQnJcdxL0RE+qewLiIiCa2xrZHqhuru0fH6bcF68rrDdcF2hlGUVURZdhkXTLkgGMbLc8opyioiNSn1CFsREUlMCusiIhJ3Te1NwRC+vX57j5Hyg60He7TNz8inPKec88rP80pW/JlWSrJLGJM8Jk57ICISGwrrIiIyJAJzkfcqWWnYxv6W/T3aTk6fTGlOKVWlVcEwXpZTRml2qa7YKSKjisK6iIhETXN7MzvadvCb6t9QXV/dHc7rt7GvZV+PthPTJ1KWXcYZxWf0GCEvzS7V1IciIj6FdRERiUhghHxbw7bgyHh1vVe+srdlr9dol3c3Pm085TnlnFZ0WnB0vCy7jLKcMjJTM+O3EyIiw4TCuoiI9NLc3twjjIfeh4+QBwL5qUWnUpZTRuP2Rt57ynspzS4la0xWnPZARGRkUFgXERmlGtsavTIV/6TO0FAeXkMeKFk5vfj04Mh4WXZZn4F85cGVzJwwcyh3RURkxFJYFxEZwerb6oNBPFBDHgjk4bOsTEqfRFlOdw15aXZp8F4lKyIi8aGwLiIyjIVeqXN7w/ZgLXkgoNceru3RPj8jn7KcMpaULqEkuyR4YqdO6hQRSUwK6yIiCc45x/6W/cEyldCTO7c3bKexvTHY1jAKMwspzSnlPeXv8YJ4Tinl2d485GkpaXHcExERiZTCuohIAujs6mR38+5gmUpNQ40XyBu8f7d0tATbJlsyxVnFlOaUsmDyAkqzS4Oj47owkIjIyKKwLiIyRNo729nRuMMrUwmUrPij4zWNNXR0dQTbjkkaQ2l2KaXZpZxSeIp3UqcfyAuyCkhNSo3jnoiIyFBRWBcRiaLAHOSBkfFAyUpNQw27mnbR5bqCbTNSMijNLmXauGmcU3ZOcIS8LKeMyRmTSbKkOO6JiIgkAoV1EZEIOOeoO1zXY3Q89BY+5WHe2DzKssuYP2k+Fx13UTCQl2SXMCFtAmYWpz0REZHhQGFdRCRMl+tib/PeYAD/w6E/8PTKp4Mj5g3tDT3aT86YTFl2GWcWn+mVruR015Bnj8mO016IiMhIoLAuIqNSW2cbNY011DTU9Bod39Gwg7autmDbJJIocSWUZpcyb9K8YBAPnNCpGVZERCRWFNZFZMSqb6sPBvDwUL6naQ8OF2ybnpJOaXYpU3KnUFVSRUl2STCQb/z7Rs5dcm4c90REREYrhXURGbZCy1VCw3hNQw3bG7dTd7iuR/vxaeMpzS5lcf7iYBAPjI4fqX78HXtnKHZHRESkF4V1EUlorR2t1DTUUNNY02uUfEfjDtq72oNtUyyFwqxCSrJKOL/8/B5hXFfoFBGR4UhhXUTiyjnHgdYDwQAeqCMP/LyvZV+P9pmpmZRmlzI1bypLSpdQkl0SDOOFmYWkJOltTURERg79ryYiMdfW2cbOxp09TugMlKqEX50TvNlVSrNLOa3otB4j4yXZJYwbO07THYqIyKihsC4ix8w5x6HDh4Ij4sHRcb90JfxkzrTkNG9EPKuEkwtO7g7jWSUUZxczNnlsHPdGREQkcSisi8iAtHe2s6NxR48yldBQ3tTe1KP9xPSJlGSVcGL+iT1KVUqySpiYPlGj4yIiIgOgsC4iQHft+I7GHX2G8fDR8bHJY4Mj4YsLFlOSVRIcLS/KKtLJnCIiIlGgsC4yirR0tLCzcSdrm9eyY/2OHoF8R+OO3rXj6ZMpyS7hpIKTKM4qDtaNl2SVMCF9AkmWFKc9ERERGR0U1kVGkM6uTvY27+0RwGsaa9jR4N3vb9nf3XifdyGg4qxiSrJLOKXwlGAQL80upSirSFfmFBERibNhG9bNrAT4Z2AxMB9IByqdc1vD2o0D7gLe57f5M/A559yaoeyvSLTUHa7rGcZD7nc27aSjqyPYNsmSyM/IpyS7hDOLz6Qku4TirGL2vr2Xi8666IgXAhIREZH4G7ZhHZgKfAB4Dfg9cF54A/NSyFNAJfBp4BBwK/CSmS1wztUMXXdFBqa1o7XHNIc7Gnd03xp20NDe0KN93tg8irOKmTF+BkvLlwZHykuzSinILCA1ObXXNlZuW8nE9IlDtUsiIiIySMM5rL/inMsHMLNr6SOsAxcDZwDnOOde8tv+GdgCfAG4aYj6KhLU0dXBnuY97GjY0V2mEjJC3qNUBe9EzkAAXzh5YfDfJVneKHnWmKw47YmIiIjE2rAN6865rgE0uxjYGQjq/np1ZvY0cAkK6xIDoVfkDB8Vr2msYXfTbjpdZ7B9kiVRkFFAcXYxZxafSXFWMcXZxcHZVVSqIiIiMnoN27A+QLOBtX0sXwdcZWZZzrnGIe6TjAB1h+vY0biDnY07e4yKB5a1drb2aD8hbQLF2cXMmzSPCyovCAby4qxir1QlqXepioiIiIg5547eKsH5ZTA/IuwEUzPbBKxyzn2on/ZlzrntYY9dD1wPkJ+ff8Jjjz0W4973rbGxkawslTcMVLSP1+GuwxzoOMDBjoMc6DgQvAV+bnE9pzhMt3QmpExgfMp4JqRM6HUbkzQman2LBr2+IqPjFRkdr8joeEVGxysyOl6RiefxWrJkyWvOucXhy0f6yLoBfX0a6bemwDn3Q+CHAIsXL3ZVVVWx6dlRrFy5knhteziK9Hi1drSys2mnNzLesIMdTV6ZSmCk/NDhQz3apyWnUZxVTOX4Ss7IOqPHyHhxVjG5Y3OjvEexpddXZHS8IqPjFRkdr8joeEVGxysyiXi8RnpYPwiM72P5OP/+UB+PyQjQ1tnGrqZdPUpTQv8dfhJnalIqRVlFFGUWcW75ucEQXpRVRHFWserGRUREJC5GelhfR9+zxMwCtqleffhq72xnd9NudjR54ftPtX/i+d8/Hwzl+5r34UK+VEmxFPIz8ynJKuGskrMoyiyiKKuIkuwSCjMLmZwxWVfjFBERkYQz0sP6U8DHzOxs59zLAGaWA1wE/DSuPZMjCg3juxp7j5Dvbd7bI4wbRmFHIcXZxd6VOLNKgqPixVnFTM6YTHJSchz3SERERCRywzqsm9ll/j9P8O/fa2b7gH1+OH8K74qlj5jZLXRfFMmAbw11f6VbW2ebF8YbdwTLVXY27uw3jAemNyzKKuLkwpMpziqmMLOQkmwvlG/42wbOXXJuHPdIREREJPqGdVgH/jfs5+/79y8DVc65LjO7ELjbfywNL7wvCZ8FRqLrcOdhdjXuCp7EubNxZ/cJnX2UqSRZEvkZ+RRnFQfDeKCGvDCr8KjTG75tbw/FbomIiIgMqWEd1p1zRz3jzzl3EPi4f5MoaeloCZanBEbGdzXuCpat7GvZ16N9siVTkOmNjIeWqQRukzMma65xERERkTDDOqxL7NS31Xsj4/6IePgoefjUhilJKRRmFlKUVcQZxWdQmFXojY5nenXjkzImkZKkl5uIiIhIJJSeRiHnHAdbD7KryQvjoSPjgWDe0N7QY52xyWMpzPQC+MwJM4M144FSlUkZkzSbioiIiEiUKayPQJ1dnexr2dfvqPjupt20drb2WCczNTMYvhdNXtRdouJPcTg+bbzmGRcREREZYgrrw1BrRyu7mnZ5t5DR8MD9nuY9dLrOHuuMTxtPYWYh08ZN8+YZzyoKhvPCzEJyxuQojIuIiIgkGIX1BOOco76tnu1t23lx24s9SlUCgfxg68Ee6yRZEpMzJlOUWcTC/IXBGVQC94WZhaSnpMdpj0RERERksBTWE8yGgxv4wP99wPthl3cXqBcvzCxkyfglPUbEi7K8enHNpCIiIiIy8iisJ5jS7FJuWXwLB7ce5D0nv4fCrELGjR2nEhURERGRUUhhPcFkjcniqtlXsXLfSmZPnB3v7oiIiIhIHGmuPRERERGRBKWwLiIiIiKSoBTWRUREREQSlMK6iIiIiEiCUlgXEREREUlQCusiIiIiIglKYV1EREREJEEprIuIiIiIJCiFdRERERGRBKWwLiIiIiKSoBTWRUREREQSlMK6iIiIiEiCUlgXEREREUlQCusiIiIiIglKYV1EREREJEEprIuIiIiIJCiFdRERERGRBKWwLiIiIiKSoBTWRUREREQSlMK6iIiIiEiCUlgXEREREUlQCusiIiIiIglKYV1EREREJEEprIuIiIiIJCiFdRERERGRBJUSiyc1s7OB04EiwAG7gD86516OxfZEREREREaiqIZ1P6T/AJgeWOTfO//xDcANCu0iIiIiIkcXtbBuZu8HfuY/505gJbAdL7CXAFXATOA3ZvYh59wT0dq2iIiIiMhIFJWwbmZFwENAB/Bp4D7nXGdYmyTgGuA7wMNm9hfn3M5obF9EREREZCSK1gmmnwUygH9wzv13eFAHcM51Oed+BPyD3/YzUdq2iIiIiMiIFK2wvgz4q3Pul0dr6Jx7Evgr8N4obVtEREREZESKVlgvB/4UQfs/ARVR2raIiIiIyIgUrbCeCrRF0L4dSI7StkVERERERqRohfVdwNwI2s8Gdkdp2yIiIiIiI1K0wvorwHvMbMbRGprZTOB8fx0REREREelHtML6d/FKYf7PzGb118gP6k/jlcB8L0rbFhEREREZkaIyz7pz7jUzuwu4BVhlZk8Av8O7KJIDyoClwKXAGODbzrm/R2PbIiIiIiIjVdSuYOqc+2czawK+BHwI+GBYEwM6gX8D7ojWdkVERERERqqohXUA59y/mtlDwMeB04FCvJC+C/gD8KBzbks0tykiIiIiMlJFNawDOOeqga9E+3lFREREREabaJ1gKiIiIiIiUaawLiIiIiKSoKJWBmNm/wjkAt9yznX5yz4DfKaP5i875z4WrW2LiIiIiIxEURlZN7NFeHOtZwWCui8PqOjjdpWZLYjGtkVERERERqpolcF8GGgDvtPHYw5vBD/Vv032214ZpW2LiIiIiIxI0SqDORP4s3Nuf18Pho227zez3/rriIiIiIhIP6I1sj4NeLOP5ebfwm0FjovStkVERERERqRohfVsoKGP5T8GlvSxvNZfR0RERERE+hGtMpgGYHz4Qv8CSdV9tB8PNEVp2yIiIiIiI1K0Rta3AidF0P4kfx0REREREelHtML6y8AiMzvlaA3N7FTgBOClKG1bRERERGREilZY/wHeFI0/M7MZ/TUys+nAT4FO4L+itG0RERERkREpKjXrzrm3zezfgK8Ar5vZ/+KNnO/AC/HFwLnAZcBY4A7n3NvR2LaIiIiIyEgVrRNMcc591cwAbsO74NE/hDUxoAMvqP9rtLYrIiIiIjIone2wbyPsfhN2vcm8TX+CM1+E5KhF5GMW1Z74gf1h4OPAaUABXkjfBfwReNA5tzma2xQREREROaq2JtizDna9EQzn7F0PnYe9x1MzSE4vhZaDkDU5vn0NEfWPDc65LcCXo/28IiIiIiID0nQAdr/hBfJAMD/wDl51NpA+HgrnwcmfgIJ53r8nTOX1V35PVQIFdYhBWBcRERERGRLOQe227kC+e4337/od3W1yS71APvey7mCeUwxe+XbCU1gXERERkcTX2Q77N3mBPDBivvtNaK3zHrckmHg8lJ8OBXO9UF4wDzJ6XbdzWIlKWDezzkGs5pxz+rAgIiIiIj0dbvTqywOBfPca2PNWd315Shrkz4bZK/xgPh8mz4IxGfHtdwxEKywP5nuE4fHdg4iIiIjETuM+r748OGK+Jqy+fJwXyE+6LqS+fFpCzdgSS9GaZz1aF1cSERERkZGoqwsObemuKw+E88bd3W1yy7wwPvfy7lKWYVRfHgtx+UhiZmnAGOdcfTy2LyIiIiIx1HHYmxYxNJjvXgttDd7jlgyTpsOUqpD68rneKLr0EK/vD34AfCSO2xcRERGRaGg55AXxYChfA/s2QFeH9/iYLMifA/M/1B3KJ82E1LT49nuYiGdYHr3fZ4iIiIgMN85B3faQKRL9W9227jZZBV4gP/58L5QXzINxlZCkiunB0si2iIiIiPTU0Qb7N/YM5aHTJGIwcRqUnggnftwL5QVzE+rKnyOFwrqIiIjIaNZSC3vW9gzlezdAV7v3eEp6z2kSC+Z6P4/JjGu3RwuFdREREZHRIFDGEj5aXhtSxpIx0StjOWWJN3d5wVyYMBWSkuPX71FOYV1ERERkpPHLWPJ3vwjPv9B3GcuEqVB8ApxwdUgZS/6oniYxESmsi4iIiAxnzQf9Mpa1YbOxtDMTIDXDu7pnsIxlHuTPUhnLMBGVsG5mndF4nlgwsyXAvwEnAC3AM8DNzrk9ce2YiIiISCS6uqB2a89QvmetV9oSkJXvBfJpS6FgLn/d1sLJyz6sMpZhLFoj64P5vsRFadv9MrMzgV8DLwDvByYAXwN+Z2YnOOcOx7oPIiIiIhFrb4G9b3UH88DIefCiQkkw8XgoPRlOvLb7xM+w2Vha9q9UUB/mohLWnXOJOnnmV4Bq4H3OuQ4AM9sAvApcA3w/jn0TERERgca9Pa/yuXsNHHgbXJf3eOhFhQrmdF9UaExGfPstQ2Kk16yfAvwkENQBnHN/M7MDwKUorIuIiMhQ6eyAA+/4I+VrusN5097uNrmlXjCfdYkXzPPn6KJCo9xID+udQFsfyw8Dc4a4LyIiIjJatNTCnnV++cqbXijftwE6Wr3Hk8fApBkw7T1eIA8E84zxce22JB5zLual43FjZq8Czjl3csiycmAL0O6cG9vHOtcD1wPk5+ef8Nhjjw1Vd3tobGwkKysrLtsejnS8IqPjFRkdr8joeEVGxysyCXe8XBdprXvIatxKVuMW/7aVtMPdo+VtqTk0ZlXSlFlJY1YljVkVNGeU4JJiP2aacMcrwcXzeC1ZsuQ159zi8OUjPaz/A/AI8HXgP4HxwA+B0/DCevqR1l+8eLH7+9//HvN+9mXlypVUVVXFZdvDkY5XZHS8IqPjFRkdr8joeEUmrserrQn2ru95wueedT1P+pww1R8pD1zpcw5kF8Rt7nK9viITz+NlZn2G9RFdBuOce9TMZgA3A7fhzUDzc+BZVAYjIiIifXEO6nf4YdyvK9+zFg68S3Ayu7E5kD8bFny4u4xFJ31KDIzosA7gnPuymd0JTAH2Ouf2mNl64A9x7pqIiIjEW3urV0seHCn3Z2Npre1uk1fujZLPvbw7mOeV60qfMiRGfFgHcM41AWsAzGwZMANv6kYREREZDZyDxj1ho+XrYP8mcP61HVPSvSt7zrqku4Qlfzak5cS37zKqjeiwbmYLgfcCq/xFZwC3AN9yzv0pbh0TERGR2Olog/0bu0fKA6Pmzfu72+SUeCPkM5b7M7HMhfGVuoCQJJwRHdbxpm28APgCMBZYD3zSOffjuPZKREREoqNxb1gJy1ovqHf5l1hJHguTZ8L0ZV4gz5/t3TRFogwTMQnrZnY23gj2ScA4oK+Z/J1zLqYfFpxz6/BG00VERGQ462iD/ZvI3/0S/Pq33WUsoRcUyi7ygvjx5/klLHO82VmSR/rYpIxkUX/1mtly4EkgGdgGbAQ6jrSOiIiISFDjXn96RP+iQnvWwb6N0NXOTPBHywMXFJrdHcwzJ8S75yJRF4uPmncA7cBy59yvY/D8IiIiMhIEasv3rOsZzpv2dbcJjJZPXQoFc3l1WzMnLbtCo+UyasTilT4HeExBXURERIDumVhCLyS0Z10fteUzYNp53dMjTp7da7S8+cBKBXUZVWLxam8EDsbgeUVERCTRBectXxdSxrIWmg90t8kp8aZIPP58b9S8YC6MP04hXKQPsfir+B1wagyeV0RERBKFc1BX07OufM86OPBOz3nLJ8/0pkcMzFk+eZZmYhGJQCzC+j8Dr5rZl4CvO+dcDLYhIiIiQ+VwY9hVPv1gfriuu01emTc14qxLuk/61LzlIscsFmH9K8A64KvAx81sNVDbRzvnnNNVREVERBJFVxfUbg0rYVkHB7cA/tjbmCwvjM99f3conzwT0nLj2XORESsWYf3qkH9X+Le+OEBhXUREJB5aDsGet3qG8r3rob3Jb2Aw4Tivnnz+h7tLWPLKIamvy6eISCzEIqxXxuA5RUREZDA622H/234YX9c9al6/o7tN+jhvhHzRR/xQPtsbLR+TEb9+iwgQg7DunKuO9nOKiIjIUTgHDbv80fK1sPetHhcTAiApFSZNh4ozvFHyQBlLdgGYxbf/ItInzZEkIiIy3ISe8BkoZdm7zittCcgp7r6YUCCUT5gKKWPi128Ridgxh3UzewCv/vyLzrk9/s8DoRNMRUREjqSrEw5u9sP4W90lLIe2dLcZk+WVrMy6xCtfyZ/tzWGePi5+/RaRqInGyPrVeGH934E99DzB9Eh0gqmIiEhA497ukfJgCcsG6Gj1Hrck78JBhfNhwRU64VNklIhGWA+cULoj7GcREREJ19YM+9YHy1fmb/wjvLoTmvd3t8mc7I2OL77GHymf7dWap6bHr98iEhfHHNbDTyjVCaYiIiL4JSxbes7AsvetnnOWp2aQnFYM05f585X7J31mToxr10UkcegEUxERkWPhHDTu8UtX3uo5C0tHi9fGkmD8FC+Qz/tgdwnLuEpWvfIKVVVVcd0FEUlcCusiIiIDdbgB9m7wR8tDgnnLwe42WfleED/xGn+kfBZMmqESFhEZFIV1ERGRcJ3tcOCd7tKVveu9f9eGVHqmZnqzsMy80J+FZZZ3nzkhfv0WkRFHYV1EREYv56Bue3cYD5Sy7N/UfSEhS4aJ06D4BO8Kn4FgnlumWVhEJOYU1kVEZHRoOtA9Sh4sY1kPbQ3dbXJLvdHyae/x68pnwsTjIWVs/PotIqPagMK6mXU655Jj3RkREZFj1tbkX90zJJjvXe+dBBqQPs4bIZ//Ib98ZZYXzNNy49dvEZE+DHRk3WLaCxERkUgF6sqDs7D4wfxQNcGpEVPSvfnJpy71wvhkP5hnF4DpvzYRSXwDDesupr0QERHpT1eXd2Ln3vUhZSxvwf63e9aVT5gKhQtg/hVeMM+fDeMqIElfDIvI8KWadRERSQzOQeNeP5C/FRLMN0B7U3e73DK/rvy87qkRJ0yD1LT49V1EJEbiFtbNLMk51xWv7YuISBy1HPLnKw8Ecn+0PHS+8sxJXihf9BFvnvL82d59Wk78+i0iMsTiObK+wcweA37rnHsljv0QEZFYCZzsGRrI966Hhl3dbcbmeKF81sUwaaZ/EaGZkDUpfv0WEUkQ8Qzrpzvn9plZuZldBTzqnOuMY39ERGSwOg77J3uup3Lzc7Drv71gfmhrd5uUNG8axMqzYfIMbzaWyTMht0Qne4qI9CNuYd05t8+/rzaznwOfMbMfO+cOxatPIiJyFJ0dcHAz7FsfMlq+3gvq/nhLaeAiQkULvZM9A1Mj6mRPEZGIxbNm/d+As4FC/9YMzAOujlefRETEFzoDSzCYb4D9G6GzzW9kML7SK1mZeVFwasTfr9vB2ee8J67dFxEZKeJZBvNNoBV4Da9uvSOOfRERGZ2cg/od3SPk+/yTPvdthPbm7nY5JV7pynFL/LnKZ8DE6TAmo/dTrt87hDsgIjKyxbMMphn4upmdDnzczB5yzh2OV39EREY057wreO59yxsh3+ePlO/bAIfru9tl5Xszriz6qD9SPtO7qJCu7CkiEhfxLINZBCwApvi3fzGzzzvnnoxXn0RERoTGfd1hfO9b3bOxtNZ2t0kf742Qz/uAH8j9YJ4xPm7dFhGR3uJZBvMTYBWwCXgZeApoiWN/RESGl+aDITXlG7pDefP+7jZpuV4Qn/0+L5xPmuGF8sxJmoFFRGQYiGdYv9I593octy8iMjwELiAUDOX+fVNIbfiYbK9cZfp7/ZHyGV44zy5QKBcRGcbiWbOuoC4iEqql1juxMzyUN+7ubpOa6YXyae/pHiWfNENzlYuIjFDxrFm/CxgD3OKcazOzMc65tqOtJyIy7LXWdZetBEpX9m3oeVXP1AzvAkLHLQkL5aWQlBS/vouIyJCKZxnMXry51W8DvgIsMrN259xrceyTiEj0tNZ5I+WBML5vgxfSG3Z2t0lJ90bKA1f1nDTTu88tUygXEZG4hvVk59z3zOwWf1T9L2b2r3jzrouIDB/B8pUNRwnlx0PlWX4o92955QrlIiLSr3iG9TVm9gRwL7AI+AswP479ERE5spZDISPlfm35vo09y1cUykVEJIpiEtbNLBX4MPBn59zbfbVxzj1jZmXA88BbZnYIyI5Ff0REItJ8MGSUfCPzN/4J/r437ETPDK98ZUqVdz/Jv3iQQrmIiETRoMO6mZUC9wNnANuA/wL+0znX5ZxrN7NqYAOQ3N9zOOd+YGa/AS4DxgI/Gmx/REQi4hw07e8RyoP/btrX3W5MFsljC2HquT1DuU70FBGRIXAsI+v3AccDNwC78UpZHjWzm5xz+/xl/TKzcUCnc+4d4E7/iqb7jrSOiEjEnIPGPT0DeWAmlpaD3e3G5ngh/Pjz/UA+ww/lJax6+WWqqqritgsiIjJ6HUtYPxW4zDn3a//n580sA7jFzB4ZwPprgXFm9ibwLPBrvFlhvnQMfRKR0co5qKvpOUK+f5N331rX3S5wRc+ZF/nTIU73gnl2oeYpFxGRhHMsYX0zsDN0gXOuGfiqmV0HtBxl/YfwwvlpwDLg+0AaCusiciRdnVBbHRLKN3q3/ZugrbG7XcZEL4TPuax7lHzSdMjKVygXEZFh41jC+k3AzWb2aedcQ+gDzrkfmdlHga4jrP9d4APOuUeBl4Fbj6EvIjLSdLbDwc3dYTwQzA+8DR2t3e2yC70QvvDK7lHyidMhc0L8+i4iIhIlgw7rzrlXzGw9cAHw8z4ef8jMjlS3/hPgDTNbDPyXc27jYPsiIsNYewsceKd3KD/4LnR1dLfLK/NC+JSzu6dDnDgN0vPi1nUREZFYO6apG/0TSXsF9ZDHXzjC6huANuB84AYzewn4hXNOM8KIjESt9X4N+UbYv7E7nB/aCjivjSXB+CleKJ+xvLt0ZcI0GJsVz96LiIjERTwvivRV59xe4F/MLB94L15wV1gXGa4C0yGGhvH9G2Hfpp5X80we4wXwogUw74MhoXwqpIyNW/dFREQSTUzDupnNBhYCrcDvnXN7Ao/5QT3w7z3Ag/5NRBJdVxfU13ghfH/ICZ77NvacDnFMlleqMuVsmHh8d015Xjkkx3OsQEREZHiI2f+WZnYz8O8hi7rM7GHg8865un5WE5FEEnqSZ2CEfP9G2P8OtDd1t0sf7wXxWRd7JSyTjvdCeU6xZl4RERE5BrEc2roBuAdYB4zDn5cdOMPMznXO1cRw2yISibYmf2Q8bKT84OaeJ3nmlHhBfNFp3v1Ev3wlc2L8+i4iIjKCxTKs3++c+3roAjPLA74MPGdmi51zh2O4fREJ17Qf9m2kcOfz8Nzz/ij521C3vbuNJXsneU6aDjMu9O4nHu/ddJKniIjIkIplWO/1v7pzrhb4JzP7MPBPwDdiuH2R0amrC+q2eSG8R/nKpmA9+XSA1AyvnrzsVJj0UW+UfOLxXlBPGRPXXRARERFPLMP6BjP7f8AtzrnW0Aeccz8zs9tjuG2Rka+91ZuffP+m7tu+Tb0vGpQxwQviIfXkf37nIKeedxkkJcWv/yIiInJUMQvr/kWRjgPWm9n9wOPOuQ0hTbb3s6qIhGo+GDI/+SZvxHz/RjhUTXB+csy7aNCk6d0zrwRufVzJ83DNSgV1ERGRYSCmc6c55243sz8CdwNfNbMdwErgVWAu8ONYbl9k2Ojq9OrG94WMkgdCefOB7nYpad5c5EWLYN6Huk/ynHAcpKbHr/8iIiISEzGf6Ni/iukLZlYFXIp34aMrAcxsGV54/w3eyHtr388iMkK0NfmlK2/3DOUH3ulZuhKYCnHGhd3zk0+cBrmlkJQcv/6LiIjIkBqyq5I451biBXPMrBhYGnL7CPAdQPO/yfDnHDTuCRsh39THrCtJ3sWBJk2H45Z0l61MmNZn6YqIiIiMPnG5hKBzbgfwkH/DzOYB18ejLyKD1nEYDm7pHcoPvAOH67vbpWbCxKnerCsTP+qNkE+a7s+6MjZ+/RcREZGElxDX+3bOvQl8Kt79EOlT04HuQH7gbT+Uvw2HtoLr7G6XXeSF8nkf9EfJp3n3OUW6iqeIiIgMSkKEdZG462z3wndwdDwklPtzkwOQPNY7mTN/NsxZ0R3KJ0yFsdlx676IiIiMTDEP62aWCTwNfNo5ty7W2xM5ouaDYYHcn6f80Bbo6uhul5Xv1Y7PujiklnyqNz2iTvAUERGRITIUI+spQBWQOwTbEvFGyQ9u6R4d73eUfAyMPw4mz/BC+QS/bGXiVEjTy1VERETiT2UwMjw5580/7p/YOeXdF2Hnf3nB/OCWnrXkmZO9UpWZF4XUkk/zZmLRKLmIiIgkMIV1SWwdh+Hg5pAR8nf8+03QWhdsVmIpXgCfPAtmXeKPkvu15Ol58eu/iIiIyDEYyrDujt5ERiXnoH6nF8IPvBMSyP15yV1Xd9vsQi+Az3l/j0D+yhubqVpybvz2QURERCQGohrWzWwmcEvY4jH+/W1mtjfssa87596NZh8kgbXWe2H8wLs968kPvAvtzd3tUjO9GVdKFsP8D3vhfOLUI8+4YtVDsw8iIiIiQyjaI+vpQGU/2ygCMsMeS4vy9iXeOtuhdpsfxN8JKV15Bxp3hzQ0b2aVidOg/IzuMD5hmuYlFxEREfFFNaw751YBS0KXmVkecBD4lHPuT9HcnsSJc9C4xw/j7/jB/F3v3+FTIKaP9wL51HP9MD7V+3lcJaTqs5qIiIjIkQxFzbpq1Yer1no4+K4XxIMj5X4ZS1tDd7vAhYImz/RnXJnWHcwzxsev/yIiIiLDnGaDGe062rwrdwaDeMitcU9IQ4O8Ui+Al57sh/HjvPvcUkhKitceiIiIiIxYQxXWNboeT11dUL+j58h44N+11T1nW8mY4NWNT32PF8YDo+QqWxEREREZckMV1nW2YKw5B037vQB+MCSMH9js/dzR2t02NcO7cmfRAph7mRfOJ0yFCVMgfVzcdkFEREREeop5WHfO1QGqkYiW1jp/ZPzdkFDu/3y4+yJBJKXC+EovlE89x7sP1JFnF2i2FREREZFhQDXriaitmczGrfDWr7pHxwMj5k37Qhr6deTjj4P5HwwJ5Md5deTJ+vWKiIiIDGdKc4lm1xvw32dxIsDf/WVZBV4AP35Z9+j4hKkwrkJ15CIiIiIj2IgP62Z2OvAVYAHeRZjeAb7rnHsgnv3q1/gpsORLrNvTyuwzL/Z+7u+qnSIiIiIyoo3oWnIzmwf8FkgFrgPeD/wNuN/M/jGefevX2Gw4+xb2TT4TCucrqIuIiIiMYjEZWTezVODDwJ+dc2/HYhsD9CEgGbjIOdfoL/uNmc0HrgJ+ELeeiYiIiIgcxaDDupmVAvcDZwDbgP8C/tM51+WcazezamADXlgOrJMEvA84ByjxF+8EVgJPO+daBtuffowB2oHw560FNEehiIiIiCS0YymDuQ84HrgB+CyQATxqZpP8x3eHNjaz2Xj14t8EyoEGoMn/9zeBzWZ2wjH0py8P+vf/aWZFZpZnZtcB5wL3RHlbIiIiIiJRZc4d/eKiZtbpnEsOW1YPXOac+3XIsgzgFuARvFH7twLrmdlDwJ3OufX9bGMG8M/OuY8Ndmf6ed4TgV8Cxf6iduAfnXP399P+euB6gPz8/BMee+yxaHZnwBobG8nKyorLtocjHa/I6HhFRscrMjpekdHxioyOV2R0vCITz+O1ZMmS15xzi8OXH0vN+ma8EpYg51wz8FV/9Dq89OTP/QV1f90NZvbqMfSnFzObBvwCWAd80u/TJcB/mVmrc+7RPvrxQ+CHAIsXL3ZVVVXR7NKArVy5knhtezjS8YqMjldkdLwio+MVGR2vyOh4RUbHKzKJeLyOpQzmJuBmM+s1XYlz7kd4tepdIYvnmdm5ZtbnBwQzqwJOOob+9OUbeCPpFzrn/s859zvn3E3A/wD3+jX0IiIiIiIJadAj6865V8xsPXAB8PM+Hn/IzELr1r8GPAXMNLMtQB1ekM4FpgDVeKPe0TQXeMM51x62/FXgCmAyYbX1IiIiIiKJ4pimbnTO7aOPoB7y+Ash/94JLDaz9wCnAQVAB7ALeMk59+dj6Us/dgMLzGyMc64tZPnJQCtwMAbbFBERERGJiphewdSfAWYhXjD+vXNuj3PuN8BvYrndEN8F/hd42sy+j1ezfjHeHPD3hAV4EREREZGEErOwbmY3A/8esqjLzB4GPu+cq4vVdkM55x43swuAf8abajINeBe4EfjvoeiDiIiIiMhgxXJk/Qa8uczX4V2A6FTgMuAMMzvXOVcTw20HOeeeA54bim2JiIiIiERTLMP6/c65r4cuMLM84MvAc2a22Dl3OIbbFxEREREZ1mI5dWGvGeWdc7XOuX/Cm1Lxn2K4bRERERGRYS+WYX2Dmf0/M0sLf8A59zNifHKriIiIiMhwF7Ow7px7CDgErDezL5nZjLAm22O1bRERERGRkSCmV/B0zt0OfBL4ILDOzLaZ2cNm9inglFhuW0RERERkuIt5KYp/YaQXzKwKuBQ4H7gSwMyWASvx5l1/3DnXGuv+iIiIiIgMF0NWN+6cW4kXzDGzYmBpyO0jwHeAiUPVHxERERGRRBeXkzydczuAh/wbZjYPuD4efRERERERSVQxrVkfKOfcm865T8W7HyIiIiIy+hxsauO3b+3hV++04ZyLd3d6GOjIupnZj4CngN+otlxEREREhqOuLsc7+xp5rfoQr1UfYlX1ITbvbwIg2eCf6w9TkNtr5vG4GWhYT8abveVi4CtmtgN4GnjaObcnVp0TERERETkWDa3trN5ey6rqWl7bdojXtx2iobUDgPGZY1hUNo7LF5dyQvk4Dm1+I6GCOgwwrDvv+4A/+7dbzWwKXnB/1MzGAs8BTznn1saspyIiIiIiR+Cco/pAszdivs0bOd+4pwHnwAym52dz0fwiFpWN44TycVRMyMDMguuvrLYjPHt8DOoEU+fcZrzZW75jZrnABcBtZjYdeAWvXOZl51xntDoqIiIiIhKqtb2TN2vqguF8VfUhDjS1AZA9NoUFZXksm1PAorJxLCjLIyctNc49jtwxzwbjnKsDfgb8zMySgbPxRt3vNrMNeMH9Ob+diIiIiMig7Kxt6RHM1+2sp6PLOyG0cmImVdMnc0L5OBaV5zFtcjbJSYk3Uh6pqE7d6I+kv+jfMLPZeMH9aTNrBZ7BK5fZEs3tioiIiMjI0tbRxbqddazaVssq/2TQ3fXeHCdpqUnML8njurOmcELZOBaW5TEha2ycexwbMZ1n3Tm3DlgHfNPMJgEXAf9hZoXA7/CC+19j2QcRERERSXx7G1pZVV3L636t+Zs76mjr6AKgOC+dEyvHc0JZHieUj2dGYTapyQkxA3nMDeUVTPcBDwAP+CelLgU+ZmbfA14HfgX8VtNCioiIiIxsHZ1dbNjdEDwJdNW2Q2w/2ALAmOQk5hTn8NFTy1lUNo5F5ePIz0msGVqGUryuYHoYeMbMqoFLgc8AHwdazOwC59wr8eiXiIiIiETfwaY2VgVqzbcd4o3tdbS0e/OQTM4eywnl4/joqRUsLBvHnOIcxqYkx7nHiWNIw7qZJQFnApf4twqgE/gj3sj6r1TPLiIiIjJ8dXY5Nu3pHjV/fVstW/yLDqUkGbOKcvjgiaUsLMvjhPJxFOel95g+UXqKeVg3s0zgfLxwvhwYBzQCLwBfAZ5xzh2KdT9EREREJPrqmttZtf0Qr1cfYtW2WlZvr6XxsHfRoQmZY1hYNo4PLC5lUVke80rySB+jUfNIxCysm9nJwJeBc4A0YAfwP3hTOb7onGuL1bZFREREJPq6uhzv7GsMlrS8Vn2Id/d5o+ZJBjMLc7h0YTGLyvNYVDaOsvEZGjU/RrEcWd8OnAj8AbjVOfdaDLclIiIiIlFW19LO6u21wXC+enstDa3eqPm4jFQWlY1jxaISFpblMb8kj8yxcTkdckSL2RF1zu00sw8DZQrqIiIiIomtq8vx7r5G/4JDtazadoh39jXinDdqfnx+NhfNL/JmaCnLo3JipkbNh0Cs51l/0cxKYrkNEREREYlcQ2tg1NwL5q9vO0S9P2qem57KwrK8YDifX5pLdlpqnHs8OsX8uwrnXE2styEiIiIi/evqcmze38iqbd5Fh1ZV17JpbwPOgRkcPzmb5fMKWVg2jkVl45gyMZOkJI2aJwIVFomIiIiMMPWt7byxvZZfvdPGjze/yurttdS1tAOQk5bCwrJxXDC3kEXlecwvzSNHo+YJS2FdREREZBgLjpr75Syrth3i7b1erbkBx+e38t45Bf7VQPOYMjFLo+bDiMK6iIiIyDBS1+KNmnvBvJbVIbXmgVHz5XOLWFSeR8PWtVzwnrPi3GM5FgrrIiIiIgkqMK/5633M0GIG0/OzWT6viIVleX3Wmq/coRH04U5hXURERCRB1DW38/r2Q7y+rbbXvOZ5GaksLNUMLaONwrqIiIhIHHR2Od7e2+AFc/+iQ6FXAz0+P5sL5xWxqCyPReXeqLnmNR99FNZFREREhsDBpjZWb/fKWV7ffog3ttfReLjn1UAvXVjMorJxzCvNI0tXAxUU1kVERESirqOziw27G3h9ey2vVx/i9e21bNnvjZonJxkzC7O5dGFxsNa8fEKGRs2lTwrrIiIiIsdob0Mrq7fVBi869GZNHS3tnQBMzBrLorI8PrC4lEVlecwtySVjjCKYDIxeKSIiIiIRaOvo4q1d9d4MLX44rznUAkBqsjGrMIcPnlgaHDUvGZeuUXMZNIV1ERERkX4459hV18rrfihfte0Qa3fW09bRBUBhbhqLysZx9WkVLCzLY3ZRLmmpyXHutYwkCusiIiIivpa2TtburAvOa/769kPsqT8MwNiUJOYW53rBvDSPBWV5FOamx7nHMtIprIuIiMio5Jyj+kBzcF7z17fVsn5XPR1dDoCy8RmcMmUCC0u9qRNnFOQwJiUpzr2W0UZhXUREREaFhtZ23qyp61Frfqi5HYDMMcnMK8njE2dPYWHpOBaU5TExa2yceyyisC4iIiIjUGeX4529jby+zRs1X729lk17G3DeoDlTJ2exdGY+i8rHsbAsj2mTs0lO0kmgkngU1kVERGTYO9B4mNXbvVKW8AsO5WWksqA0jwvmFrKwLI/5pXnkpqfGucciA6OwLiIiIsNKYOrE1du8iw29vq2WbQebgZ4XHFrg15pX6IJDMowprIuIiEjCcs6xo7YlOGr+8toWtv32heDUifk5Y1lUNo4rTyljQek45hbnkj5GUyfKyKGwLiIiIgmj6XCHdxLo9u5a830N3VMnlmejqRNlVFFYFxERkbjo6nK8u6/RrzP3ZmfZtKcBf+ZEKidmcubUiSwoy2NBaR4zC3P44+9foapqZnw7LjKEFNZFRERkSISeBLp6ey1vbK+lwT8JNCcthfmleZw3K5+FZeOYX5rH+Mwxce6xSPwprIuIiEjUHe7o5K2d9T3CeehJoNPzs7l4QRELy8axoDSPKRMzSdLUiSK9KKyLiIjIMXHOUXOohVXbDgXD+Vs762nr7D4JdGHpOP7h5DIWlo1jTnEOGWMUQUQGQn8pIiIiEpH61nbe3O5dCXT1dm/U/EBTGwBpqUnMK87j6tMrWFDq1ZoX5ekkUJHBUlgXERGRfnV0drFxT4MXyv0TQd/d19jjSqBLZkxmQWkeC8vymJ6fTUpyUnw7LTKCKKyLiIhI0K66lmCN+epttazZUUdLeycA4zPHsKA0j0vmF7GgLI95JboSqEisKayLiIiMUoE5zb1SFq+kZU+9N6f5mOQkZhXl8METS1lYlsfC0nGUjk8ftlcCbW1tZd++fbS2ttLR0RHv7gyZ3Nxc1q9fH+9uDBvRPF4pKSmkpaUxadIk0tLSBv88UemNiIiIJLTOLsfbextYHRg1317bY07z8gkZnDJlQrDOfFZRDmNTRsaVQOvq6tizZw+TJk2ioKCAlJSUYfuhI1INDQ1kZ2fHuxvDRrSOl3OOjo4OGhsb2bZtG/n5+eTm5g7quRTWRURERqA99a3d5SzbD7Gmpo6mNq+cZbTNab5//35KSkrIyMiId1dklDAzUlNTGTduHGPHjmX37t0K6yIiIqNVc1sHa4LlLN5tV10rAClJxqyiHN5/Qklw1LxyYuaoGVkGaGtrIz1dM9JIfKSnp3P48OFBr6+wLiIiMox0djne2dsYrDF/fVvPcpbS8eksrhgfDOazi3JISx0Z5SzHYjR9OJHEcqyvPYV1ERGRBDaQcpb3zMpnQWke80vzmJg1Ns49FpFoUlgXERFJEE2HO1izwytneSOsnCU12ZhZmMOKRX45S1kelRMySUrSiLHISKawLiIiEgcdnV1s2tPIyu3tPPf4m6zeXsvbe3vOznJioJylLI9ZhSpnERmNFNZFRERizDnHzrrW4Gh5+MWG8jJ2M78kj2VzClhQlsf8kpE9O4uIDJzCuoiISJTVtbT7s7McYvX2Ot6oqWVfg3+xoZQkZodcbKhlx0Y+eMESnQApIn1SWBcRETkGbR1drN9Vzxs13dMmbt7XFHx8yqRMzpw2MTg7y4yCHMakJAUfX1n7toK6jFj9vbYzMzNpbGw86vorV65kyZIl3HXXXdx8882Datfa2soDDzzA448/zpo1a6itrSUzM5Np06Zxzjnn8LGPfYwZM2b0es76+nruvfdefvnLX/L222/T2dlJRUUFy5cv5+abbyY/P/+o/Y8GhXUREZEBcs6x9UBzdznL9lre2llPW2cXABOzxrCgNI8VC4uZX5rHvJI8ctNT49xrkfg688wzuf7663ssS00dmr+LzZs3c+GFF7J+/XrOPvtsPve5z1FYWEhjYyOrV6/mgQce4O6772bbtm0UFxcH19u0aRPnn38+1dXVrFixgmuuuYbU1FT+8pe/cO+99/LjH/+Yp59+mlNPPTXm+6CwLiIi0o/9jYd5IzAzS00db2yvpa6lHYD01GTmluRy9ekVzC/xTgItyk3TKLlImClTpnDllVcO+XZbWlpYvnw57777Lk888QSXXnpprzatra3cc889Pf5um5ubueiii9ixYwdPP/00y5cvDz52/fXXc8MNN7B06VIuueQS1qxZE/MRdoV1ERERvKuArt1R7wdzL6DXHGoBIMlgekEOF8wtYH6JN5/5tMlZpCQnHeVZRQS8q8i2tbWRlZU1ZNu877772LBhA1/84hf7DOoAaWlp3HrrrT2W3X///WzatIkvfOELPYJ6wOLFi/nGN77BjTfeyF133cXdd98dk/4HKKyLiMio09HZxcY9Dbzpj5av3t7zKqAl49KZX5rHR0+tYH5pHnOKc8gYo/8yRQbj8ccf55FHHqGzs5NJkybxwQ9+kK997Wvk5ubGfLsA11577aDWu+666/ptc/XVV/PZz36WX/ziFwrrIiIix8I5R82hluCFht6o8aZNbG336szzMlKZX5LHebPyWVDm1ZnrKqCjw1efXsdbO+vj3Y0eZhXl8JWLZkfluWpqarjzzjuZOXMmTzzxBFOnTuUHP/gBSUlD943QSSedxOWXX87UqVOpr6/n2Wef5bvf/S4vv/wyf/rTn2I60r527VpycnKorKzssbyzs5NDhw71WJaZmUl6enpwvezsbKZOndrvc2dkZDB9+nTWrl1LY2NjTPdDYV1EREaUA42HvRHzmkA4r+NgUxsAY/1pE684qZz5pbksKM2jbHyG6sxlxNm7dy8rVqzg0UcfZdq0acyZM4eqqiouvvhili9fzhNPPMHWrVtJTk4mOTmZT33qUzHpx1//+tceP1911VXMmzeP2267jXvvvZfbbrstJtsFbzaXgoKCXsvXr1/P3LlzeywLnUWmv/XCBb4ZqKurU1gXERHpS3NbB+t21gdLWd6oqWX7Qa/O3AyOn5zN0pmTmV/qXWhoekE2qaozF1+0RrAT0Q033MB1110XDJ2B+40bN3L88cfzzW9+k7/97W8AXHLJJZxyyiksXry4x3NUV1dz3HHHDWh7t99+O7fffvuA2t5yyy189atf5ZlnnolpWM/JyaG+vvc3J5WVlfzmN78B4I033ug11WN/64ULtIl1OY/CuoiIDAvtnV1s2tPAG9vreLOmd515cV4680tzufLkcuaV5DG3JJessfpvTkafNWvW8Nxzz/Hggw/inPcHsnXrVgDKysp4+OGHOeOMM4Ltzz33XH74wx/2CutFRUWsXr16QNucPHnygPuXmppKUVER+/fvH/A6gzFnzhxeeeUVtmzZ0qMUJjMzk6VLlwKQktL7PSKw3jvvvNNvKUxzczMbN26koqIi5ifN6l1MREQSjnOO6gPNfimLV9KybmffdeaB+cwnZavOXATgoYce4uyzzyYrK4uGhgYAnnvuOcaPH8+yZct45JFHOPPMM4PtS0tL+dnPftbreVJTU5kzZ07U+9fa2kpNTQ2nnHJK1J871GWXXcYrr7zCfffdx9e//vUBr7dixYrgenfeeWefbR5++GHa2tpYsWJFtLrbL4V1ERGJu731rbzhz8zyRk0tb9bUBeczT0tNYnZRLv9wcjnzSlRnLnI0zz77bI8ZUPbv388DDzzA9773PbKysmhqauoxGpydnc2+fft6Pc+xlsEcOHCACRMm9Gr75S9/mY6ODi666KKB7tKgXHvttXz/+9/nrrvuYvHixX1O3xj45iF8ve9+97vcc889VFVVsWzZsh6Pr1q1iltvvZVJkyZxyy23xKz/AQrrIiIypOpb21lbUxecy/zNmjp21bUCkJxkHJ+fzQVzC5hX4tWZH5+v+cxFBmr37t2sX7+e0047DfBGsa+44gq+9KUv8ZGPfASA8ePH09TUFFynqampz1BdVFTE2rVrB7TdiRMn9lr2ta99jb/85S8sWbKEsrIyGhsbefbZZ3nppZc4+eST+fSnPz3g/frd735Ha2trn9v95Cc/2ec66enpPPPMM1x44YWsWLGCqqoqzjvvPAoKCqivr2fDhg38/Oc/Jzk5mdLS0uB6mZmZPPXUUyxbtozly5fz/ve/n6qqKlJSUnj11Vf5yU9+QlZWFk8++eSATkQ9VgrrIiISM63tnby1q543/VC+uqaWzfu6Q0LFhAxOrBjvnwCay+yiXNLHJMexxyLD20svvURGRga//vWvWbNmDatWreK2226jqqoq2GbBggXs2LEj+HNNTQ3z58/v9VypqanMmDFj0H2pqqrirbfe4qGHHuLAgQMkJyczbdo0vv71r/P5z3+etLS0AT/X888/z/PPP99r+fTp0/sN6+BdPfW1117jgQce4PHHH+fb3/42dXV1ZGZmMnXqVK699lquueYapk+f3mO9mTNn8uabb3LvvffyxBNP8Oyzz9LZ2Ul5eTmf/vSnufnmm4ckqIPCuoiIRElnl+PtvQ28UtPOr3+5hjdratmwq4EO/wzQSdljmV+Sx6ULipnnh/O8jDFx7rXIyLJy5UqqqqqCJSkNDQ1kZ2f3aHP55ZdzxRVXBH9+8cUX+fznPx/1vlxyySVccsklx/QcVVVVfZaqRNIuPT2dG2+8kRtvvDGibefm5kY0y02sKKyLiEjEnHNsO9jMGzV1wVHzNTvqaGnvBCA7bSfzSnK57qwpzC/JY35pLgU5aaozF4mxl156iauuuuqIbaZOncpNN93Et771LTIyMli6dCmnn376EPVQIqWwLiIiRxU4AfTNmtrgfW2zdwLoGP9CQx88sZT5pbkc3rmJD7x3CUlJCuYiQ2n79u28/fbbPaZl7M+VV145BD2SaBjRYd3MVgJn9/PwC865Zf08JiIyatU1t/PmDm+0PHAC6O767hNAp03OYtls7wTQeSW5vS40tLLuHQV1kTi4//77KS8v56yzzop3VySKRnRYB24AcsKWnQr8B/DU0HdHRCSxhF4B9E1/xHzrgebg45UTMzl5ynh/ZhadACqSyO644w7uuOOOeHdDomxEh3Xn3Fvhy8zsOqANeGzoeyQiEj9tHV1s3N3gz2PuhfPQK4AW5qYxrySXyxeXMr8kj7nFueRmpMa30yIio9yIDuvhzCwduBx42jl3MN79ERGJlc4ux7v7GnuMmK/f1UBbp3cF0HEZqczzrwA6rySPeaW5TM4e+DRqIiIyNEZVWAdWANnAQ/HuiIhItDjnqD7QzJs7umdmWbuzjuY2b2aWzDHJzCnO5erTK5hXksv8kjxKxqVrZhYRkWHABjJ35UhhZi8AC4Bi51xHP22uB64HyM/PP+Gxx+JTLdPY2NjjUsByZDpekdHxikwiHS/nHAdbHVvru9hS18WWuk621HXR7L+jpSZBWXYSlbmBWzIFmUbSEAbzRDpew4GOV2QGc7xyc3OZOnVqjHqU2Do7O0lO1nkmAxWr4/XOO+9QV1d3xDZLlix5zTm3OHz5qBlZN7MiYClwb39BHcA590PghwCLFy92oVf8GkqBixrIwOh4RUbHKzLxPF77Gw8H68sDt/2NhwFISTKmF2RzySJvVpa5xb1nZokHvb4io+MVmcEcr/Xr1/e6MNBo0ddFkaR/sTpeaWlpLFy4cFDrjpqwDlwJJKESGBFJUHXN7azZUccbNbWs8evMd9Z5UyaawbTJWZx9/CTmleQyrySXmYU5pKVqxExEZCQbTWH9KuAN59wb8e6IiEjj4Q7W7qjzQvkOL5hXh0yZWD4hgxMqxvNxf8R8TnEumWNH01u2iIjAKAnrZrYYmA18Pt59EZHRp7W9k3U761lTU+sH8zre3ddI4JSh4rx05pXk8sETS5lXrCkTRUSk26gI63ij6h3AT+PdEREZ2Q53dLJxdwNv1nSPmm/a00CnP5n5pOyxzC/J5aJ5RV6deUkuE7PGxrnXIiKSqEZ8WDezVODDwPPOuT3x7o+IjBztnV1s2tMQDOVraurYsLue9k4vmI/LSGVuSR7nzpjMXH/KxPycsZoyUUREBmzEh3XnXDswKd79EJHhrbPL8c7eRt6sqWWNX8ry1q562jq8iwxlp6UwtziXj59RGbz6p+YyFxGRYzXiw7qISKS6uhyb9zexZoc3ZeIf1rVQ87sXaGnvvsjQ7KJcrjqlnLklucwryaN8fAZJSQrmIiISXQrrIjKqdXU5th5oYk3IzCzrdtTR5F/9Mz01mZJM+NBJpf5c5nlMmZipYC4ichR33HEHX/3qV/t9PCUlhfb29iM+x8qVK1myZAl33XUXN99886Datba28sADD/D444+zZs0aamtryczMZNq0aZxzzjl87GMfY8aMGb2es76+nnvvvZdf/vKXvP3223R2dlJRUcHy5cu5+eabyc/PP8oRiA6FdREZNZxzbDvYzJs1daz1S1nW7qij4bB3nbSxKUnMKsrh/SeUMLfYGzE/blImf/j9K1RVzY5z70VEhpcVK1b0eeXYN998k7vuuouLLroo5n3YvHkzF154IevXr+fss8/mc5/7HIWFhTQ2NrJ69WoeeOAB7r77brZt20ZxcXFwvU2bNnH++edTXV3NihUruOaaa0hNTeUvf/kL9957Lz/+8Y95+umnOfXUU2O+DwrrIjIiOeeoOdTizcqyo441O2pZu6OeuhZvFGdMchIzCrO5eIE3K8uc4lyOz4//1T9FREaKefPmMW/evF7LP/GJTwBwzTXXxHT7LS0tLF++nHfffZcnnniCSy+9tFeb1tZW7rnnnh7nFzU3N3PRRRexY8cOnn76aZYvXx587Prrr+eGG25g6dKlXHLJJaxZsybmI+wK6yIy7Dnn2FHbwppgMPdutc1eME9NNqYXZHPB3ALmFucxr8QL5mNSFMxFRIZSc3Mzjz32GMXFxSxbtiym27rvvvvYsGEDX/ziF/sM6gBpaWnceuutPZbdf//9bNq0iS984Qs9gnrA4sWL+cY3vsGNN97IXXfdxd133x2T/gcorIvIsOKcY2ddqx/Ma1mzw7vY0CE/mKckGcfnZ7NsdgFzinOZV5LL9IJsxqYkx7nnIiLyP//zP9TX13PTTTeRnBzb9+XHH38cgGuvvXZQ61133XX9trn66qv57Gc/yy9+8QuFdREZvZxz7KprDZ78uWaHV2N+oKkNgGQ/mJ83q4A5JbnMLc5lRkE2aakK5iIyAM/9C+xeE+9e9FQwF957Z1SeqqamhjvvvJOZM2fyxBNPMHXqVH7wgx+QlBS/bxXvv/9+zIyPf/zjMd/W2rVrycnJobKyssfyzs5ODh061GNZZmYm6enpwfWys7P7rLcPyMjIYPr06axdu5bGxkaysrKivwM+hXURSQihwTz05M/QYD5tchbnzpzM3GKvxnxmYY6CuYhIH/bu3cuKFSt49NFHmTZtGnPmzKGqqoqLL76Y5cuX88QTT7B161aSk5NJTk7mU5/6VMz7tHHjRv7whz9w7rnn9grQsVBfX09BQUGv5evXr2fu3Lk9loXOItPfeuFyc3MBqKurU1gXkZEltJRl7Y6+R8ynTc7iHP/Kn3OKc5mlYC4i0RalEexEdMMNN3DdddcFQ2fgfuPGjRx//PF885vf5G9/+xsAl1xyCaeccgqLFy/u8RzV1dUcd9xxA9re7bffzu23337ENvfffz8QeVnKYOXk5FBfX99reWVlJb/5zW8AeOONN3pN9djfeuECbQKhPVYU1kUkpgInf3aH8noFcxGRGFqzZg3PPfccDz74IM45ALZu3QpAWVkZDz/8MGeccUaw/bnnnssPf/jDXmG9qKiI1atXD2ibkydPPuLjHR0dPPzww4wfP77fkz2jbc6cObzyyits2bKlx0h+ZmYmS5cuBby53vtb75133um3FKa5uZmNGzdSUVER01F1UFgXkSgKTJe4NmRGlnU76zkYVmOuUhYRkdh56KGHOPvss8nKyqKhoQGA5557jvHjx7Ns2TIeeeQRzjzzzGD70tJSfvazn/V6ntTUVObMmROVPj399NPs2bOHz3zmM4wdOzYqz3k0l112Ga+88gr33XcfX//61we83ooVK4Lr3Xln39++PPzww7S1tbFixYpodbdfCusiMijOObYfbAmG8rU76li7s3u6xJQkY1p+Nkv9YD63JE8nf4qIDIFnn322R6nJ/v37eeCBB/je975HVlYWTU1NPUaDs7Oz2bdvX6/niWYZTKAEJtZzq4e69tpr+f73v89dd93F4sWL+xzRD3zzEL7ed7/7Xe655x6qqqp6TTG5atUqbr31ViZNmsQtt9wSs/4HKKyLyFF1dXlX/gwN5aEXGEpJ8uYxD0yXOEezsoiIxMXu3btZv349p512GuBd9OeKK67gS1/6Eh/5yEcAGD9+PE1NTcF1mpqamDBhQq/nKioqYu3atQPa7sSJE/t9bOfOnTz//POcdNJJvU7sHKjf/e53tLa29rndT37yk32uk56ezjPPPMOFF17IihUrqKqq4rzzzqOgoID6+no2bNjAz3/+c5KTkyktLQ2ul5mZyVNPPcWyZctYvnw573//+6mqqiIlJYVXX32Vn/zkJ2RlZfHkk08O6ETUY6WwLiI9dHU5thxo8kJ5SClLQ2sH4F3507vAUCFzinOYW6x5zEVEEsVLL71ERkYGv/71r1mzZg2rVq3itttuo6qqKthmwYIF7NixI/hzTU0N8+fP7/VcqampzJgx45j79OCDD9LZ2XlMJ5Y+//zzPP/8872WT58+vd+wDjBlyhRee+01HnjgAR5//HG+/e1vU1dXR2ZmJlOnTuXaa6/lmmuuYfr06T3WmzlzJm+++Sb33nsvTzzxBM8++yydnZ2Ul5fz6U9/mptvvnlIgjoorIuMap1djs37Gnuc+LluZx1NbZ0AjElJYmZhDhfPL2JOsTePua78KSKSuFauXElVVVWwJKWhoYHs7OwebS6//HKuuOKK4M8vvvgin//852PWpy9+8Yt88YtfHNS6VVVVfZaqRNIuPT2dG2+8kRtvvDGibefm5g5olptYU1gXGSXaO7t4Z28ja3fU8cJbh/l/6//EWzvraWn3gnlaahKzCnN4/wklXilLUS7T8rNITVYwFxEZLl566SWuuuqqI7aZOnUqN910E9/61rfIyMhg6dKlnH766UPUQ4mUwrrICHS4o5NNuxv92vI61u6sZ/2ueto6ugBIS4a5pfChk0qDs7JMmZhJioK5iMiwtX37dt5+++0e0zL258orrxyCHkk0KKyLDHOt7Z2s31Xv15jXs3ZnHZv2NNDe6X0dmJ2WwpyiXD56annw5M/qtX/jnCWnxbnnIiISTffffz/l5eWcddZZ8e6KRJHCusgw0ni4g7d21gdnZFm3o5539jXS2eUF83EZqcwpzuXaM6cwpyiXOcU5lI3PwMx6PM/2sJ9FRGT4u+OOO7jjjjvi3Q2JMoV1kQRV19zeo4xl3Y46thxoInD+zKTsscwtzuX82fnMLs5ldlEOxXnpvYK5iIiIDF8K6yIJYF/DYX+k3CtlWberju0HW4KPF+elM7soh/ctLGZ2kTdd4uSctDj2WERERIaCwrrIEHLOsaO2hXX+SPlav6Rlb8PhYJuKCRnMK87jipPKmVOcw+yiXMZnjoljr0VERCReFNZFYqSry7H1QJNXwuLXl6/dWUdts3fVzySDqZOzOGPqRGYX5zKnKIeZRTnkpKXGueciIiKSKBTWRaIgdA7zdX44f2tnfffFhZKTOL4gi2WzC4LBfEZBDuljdNVPERER6Z/CukiEAlMlBkL5up31bNjdEJzDPGNMMjMLc7jshBJmF+UyuziHaZN11U8RERGJnMK6yBHUtbTzVkgoX7ezjnf3NQWnSsxNT2VOcQ5Xn1bB7KIcZhflUDkxi+QkzcgiIiIix05hXcS3t761x2j5up31bDvYHHw8P2css4tyWTa7gFn+HOaaKlFERERiSWFdRh3nHNsONvcK5vtCZmQpn5DBnOIcPnhiqT9insuk7LFx7LWIiIiMRgrrMqIFTvwMDebrd9bTcLgDgOQkY9rkLM6aNilYxqIZWURERCRRKKzLiNHc1sH6XQ28FTJavnFP94mfaalJzCzM4ZKFRd6Jn0U5HJ+fTVqqZmQRERGRxKSwLsPSwaa2HiUsf3unmT0vvIDzzvskLyOV2UU68VNERESGN4V1SWjOOWoOtQTnLQ+E8931rcE2xXnpFGYm8aFTpzC7KJdZRTkU5abpxE8REZE427NnD1/5yld45pln2LNnDwUFBVx66aV89atfJS8v76jrr1y5kiVLlnDXXXdx8803D6pda2srDzzwAI8//jhr1qyhtraWzMxMpk2bxjnnnMPHPvYxZsyY0es56+vruffee/nlL3/J22+/TWdnJxUVFSxfvpybb76Z/Pz8iI/HYCisS8IIrS8PTJf41q56Glq9+vIkg+MmZXHKlPHBUD6rMIdxmWNYuXIlVVXHx3kPREREJGDv3r2cfPLJ7Ny5k0984hPMmTOHtWvX8oMf/IBXXnmFP/7xj2RkZMS0D5s3b+bCCy9k/fr1nH322Xzuc5+jsLCQxsZGVq9ezQMPPMDdd9/Ntm3bKC4uDq63adMmzj//fKqrq1mxYgXXXHMNqamp/OUvf+Hee+/lxz/+MU8//TSnnnpqTPsPCusSJw2t7WzY3cBbgWC+q45Nuxtp6+yuL59RkMNF84uCs7FMz8/WFT9FRESGiW984xtUV1fz05/+lA9/+MPB5aeddhpXXHEF//Ef/8GXvvSlmG2/paWF5cuX8+677/LEE09w6aWX9mrT2trKPffc0+Pb+ObmZi666CJ27NjB008/zfLly4OPXX/99dxwww0sXbqUSy65hDVr1sR8hF1hXWLKOcfehsM9Rsrf2lnP1gPd85ePzxzD7KIcPnZ6BbNUXy4iIjIivPTSS6Snp/OhD32ox/IPfvCDfPzjH+fHP/5xTMP6fffdx4YNG/jiF7/YZ1AHSEtL49Zbb+2x7P7772fTpk184Qtf6BHUAxYvXsw3vvENbrzxRu666y7uvvvumPQ/QGFdoqazy7Flv1/G4ofyt3bWc6CpLdimbHwGswpzeP+iEj+Y55KfM1b15SIiIiPM4cOHSUvrfQ5ZUlIS6enpbN68mf379zNx4sSYbP/xxx8H4Nprrx3Uetddd12/ba6++mo++9nP8otf/EJhXRJTc1tHdxnLLn+axN31tLZ7ZSypycbx+dmcM2NyMJTPKMzW/OUiIpIw/v3Vf2fDwQ3x7kYPM8bP4J9P+ueoPFdNTQ133nknM2fO5IknnmDq1Kn84Ac/ICkpKSrPfzSzZ89m48aNrF69mgULFgSXr169mkOHDgGwbdu2mIX1tWvXkpOTQ2VlZY/lnZ2dwe0HZGZmkp6eHlwvOzubqVOn9vvcGRkZTJ8+nbVr19LY2EhWVlb0d8CnsC5HtbehNRjKA/db9jcFp0nMSUthVlEOV5xUHjzpc+rkLMakDM2bgYiIiPS0d+9eVqxYwaOPPsq0adOYM2cOVVVVXHzxxSxfvpwnnniCrVu3kpycTHJyMp/61Kei3ofPfvazPPnkk3zgAx/gO9/5DnPmzGHdunV89rOfJTU1lfb2dpqbm4/+RINUX19PQUFBr+Xr169n7ty5PZaFziLT33rhcnNzAairq1NYl6HR0dnF1gNNPcpY1u+qZ39jdxlLybh0ZhXmcPH8ImYV5jCzMIeScekqYxERkWEnWiPYieiGG27guuuuC4bOwP3GjRs5/vjj+eY3v8nf/vY3AC655BJOOeUUFi9e3OM5qqurOe644wa0vdtvv53bb7+9x7IzzzyTxx57jJtuuilY+52cnMy1117L7Nmz+eUvf0lOTs4x7eeR5OTkUF9f32t5ZWUlv/nNbwB44403ek312N964QJtAqE9VhTWR6nGwx1s3F3fY8R8w+4GDnd0l7FMm5xN1fTJwVA+qzCH3AyVsYiIiCSyNWvW8Nxzz/Hggw/i/K/Bt27dCkBZWRkPP/wwZ5xxRrD9ueeeyw9/+MNeYb2oqIjVq1cPaJuTJ0/uc/nll1/OihUrWLNmDQ0NDUyfPp3Jkydz0kknkZKScsRSk2M1Z84cXnnlFbZs2dKjFCYzM5OlS5cCkJLSOwoH1nvnnXf67V9zczMbN26koqIipqPqoLA+4jnn2FXXGhwlf2uXd199sLnH1T5nFeZw5SnlzCz0ZmM5bpLKWERERIajhx56iLPPPpusrCwaGhoAeO655xg/fjzLli3jkUce4cwzzwy2Ly0t5Wc/+1mv50lNTWXOnDnH3J/k5OQeNeu7d+/m9ddf5+yzz47pPOuXXXYZr7zyCvfddx9f//rXB7zeihUrguvdeeedfbZ5+OGHaWtrY8WKFdHqbr8U1keQto4u3t7bwPpdDT3CeV1Le7BNxYQMZhbmsGJRCbOLvBHzQl3tU0REZMR49tlne8yAsn//fh544AG+973vkZWVRVNTU4/R4OzsbPbt29freY61DKYvXV1d3HTTTXR2dnLbbbcN6LkH69prr+X73/8+d911F4sXL+5z+sbANw/h6333u9/lnnvuoaqqimXLlvV4fNWqVdx6661MmjSJW265JWb9D1BYH6YONrWxfld3IH9rZz3v7mukvdN70aWlJjG9IIcL5hYEy1hmFOaQNVa/chERkZFq9+7drF+/ntNOOw3wLvpzxRVX8KUvfYmPfOQjAIwfP56mpqbgOk1NTUyYMKHXcxUVFbF27doBbbevGV0aGxs56aSTuPTSS6msrKSuro6f/exnvPbaa3z9619nyZIlA96v3/3ud7S2tva53U9+8pN9rpOens4zzzzDhRdeyIoVK6iqquK8886joKCA+vp6NmzYwM9//nOSk5MpLS0NrpeZmclTTz3FsmXLWL58Oe9///upqqoiJSWFV199lZ/85CdkZWXx5JNPDuhE1GOl5JbgOrscWw80dQfznfWs39XA7vruF2x+zlhmFuawZEZ3fXnlxExdVEhERGSUeemll8jIyODXv/41a9asYdWqVdx2221UVVUF2yxYsIAdO3YEf66pqWH+/Pm9nis1NZUZM2YMui9jxoxh3rx5/PSnP2XXrl1kZGRw4okn8vzzz3P++edH9FzPP/88zz//fK/l06dP7zesA0yZMoXXXnuNBx54gMcff5xvf/vb1NXVkZmZydSpU7n22mu55pprmD59eo/1Zs6cyZtvvsm9997LE088wbPPPktnZyfl5eV8+tOf5uabbx6SoA4K6wnnQONhnlmzi9+tPcw96/7YY+7ylCRj6uQsTj1uQjCUzyzMZkLW2Dj3WkRERBLBypUrqaqqCpakNDQ0kJ2d3aPN5ZdfzhVXXBH8+cUXX+Tzn/981PsyZswYHnvssWN6jqqqqj5LVSJpl56ezo033siNN94Y0bZzc3MHXN4TSwrrCaaupZ3bf7WOzFSYV5rMFSeVM7Mwm5mFOUzLz2JsSnK8uygiIiIJ6qWXXuKqq646YpupU6dy00038a1vfYuMjAyWLl3K6aefPkQ9lEgprCeYigmZ/PnWc9iw6i8sWXJKvLsjIiIiw8T27dt5++23e0zL2J8rr7xyCHok0aC5+RJMUpJRmKuLDImIiEhk7r//fsrLyznrrLPi3RWJIoV1ERERkRHgjjvuYOvWrSQlKd6NJPptioiIiIgkKIV1EREREZEEpbAuIiIiIpKgFNZFRERERBKUwrqIiIiMeAO5sI5ILBzra09hXUREREa0MWPG0NLSEu9uyCjV0tLC2LGDv9q8wrqIiIiMaBMnTqSmpoaDBw/S3t6uUXaJOecc7e3tHDx4kJqaGiZMmDDo59IVTEVERGREy83NZezYsezbt48DBw7Q0dER7y4NmdbWVtLS0uLdjWEjmscrJSWFtLQ0ysrKjuk5FdZFRERkxEtLS6O0tDTe3RhyK1euZOHChfHuxrCRiMdLZTAiIiIiIglKYV1EREREJEEprIuIiIiIJCiFdRERERGRBKWwLiIiIiKSoBTWRUREREQSlMK6iIiIiEiCMl3Fq39mtg+ojtPmJwL747Tt4UjHKzI6XpHR8YqMjldkdLwio+MVGR2vyMTzeJU75yaFL1RYT1Bm9nfn3OJ492O40PGKjI5XZHS8IqPjFRkdr8joeEVGxysyiXi8VAYjIiIiIpKgFNZFRERERBKUwnri+mG8OzDM6HhFRscrMjpekdHxioyOV2R0vCKj4xWZhDteqlkXEREREUlQGlkXEREREUlQCusiIiIiIglKYX2ImNnzZubM7GsDaJtmZneZ2S4zazGzP5vZWX20SzKzW81sq5m1mtkbZvb+2OzB0Bro8TKzxWb2QzPbYGbNZrbNzB41s8o+2m71nzP89r6Y7cgQifD11dcxcGa2IKydXl9mdxzheLWGtR0Rry8zq+pnP2oHsO6ofO8a7DEbre9fx/gaG3XvX8fw+hp171+hzOwCM3vFzBrNrN7M/m5m5xxlnYR8D0uJ1RNLNzP7MDA/glXuB5YDtwCbgRuBF8zsVOfc6pB2/wbcDNwGvAZ8CPhfM7vQOfdsNPoeDxEerw8Bs4H/BNYBxcCXgb+b2QLn3Paw9i8Ad4Qt2zj43sbfIF5fAA8C/x22bFPYz3p9wX3A82HLMv1lT/XRfiS9vm4C/hbyc8cA1hnV711EfsxG+/vXYF5jMHrfvyI9XqP2/cvMPgF817/9G97g9AIg4yirJuZ7mHNOtxjegDxgN/BhwAFfO0r7+X67j4UsS8H7g3kqZNlk4DDw1bD1fwe8Ge/9HsLjNamPZeVAF/CvYcu3Ao/Eex/jebz8dQZyXPX66v85PuKvuzxs+Yh4fQFV/v4tjXC9UfvedQzHbFS+fw32ePnrjrr3r2M5Xn0814h+//L3pQJoAT4b4XoJ+x6mMpjY+xawzjn3swG2vxhoB34eWOCc6wAeA843s7H+4vOBMcAjYes/Aszt62vUYSKi4+Wc29fHsmpgH94o1UgX6etroPT66t9HgT14o1DSbbS/d0VM718xo9dY/0bD+9fH8T7w/leE6yXse5jCegyZ2RnAVcANEaw2G9jinGsOW74O78UxNaTdYeCdPtoBzIqst/E3yOPV1/PMxPvku76Phy/ya0MPm9lfhnk93rEcr3/0j0Gzmb1oZmeGPa7XV9/PUQIsAR7138TDjZjXF/ComXWa2QEz+6mZlR2l/ah97woR6THrZbS8f/kGe7xG3fuX75heX6Po/esMYAPwITN718w6zOwdM7vxKOsl7HuYatZjxMxS8Wrq7nbORVLzNR441MfygyGPB+5rnf/dyxHaDQvHcLzCnycF79P0Przas1BP49X7bQHygU8BvzSzjzjnwj8hJ7RjPF6PAP8H7MT7yv0W4EUze49zbqXfRq+vvn0Eb5DjoT4eGymvrzrg28DLQD2wEPgi8GczW+ic29vPeqPyvcs32GPWw2h5/+LYjteoe/8iSq8vRsf7F0CRf7sL7zi9C1wOfNfMUpxz9/azXuK+h8W7tmik3oAv4Z2ckB6ybCC1dr8B/tzH8vf465/p//wjYFcf7ab57T4S72MwFMerj+f5L7yvsc4bQNtkvDen7fHe/3gdL3+9bKAa+EPIMr2++n6e9cCqAbYdtq+vPvZlEd7JbP0er9H63nUsx6yPdUbF+1e0jpe/3oh//4rW8Rot7194Jxs7YEXY8ufwzlmyftZL2PcwlcHEgP/V1G14Z/WPNbM8M8vzHw78nNzP6gfp+1PZuJDHA/fjzMyO0i7hHePxCn2ebwLXAx93zv36aO2dc53A/wIlZlY46B0YYtE6XgHOuQbgGeDEkMV6ffV+npOAGfQ9KtXLcH199cU5twrvP8ATj9Bs1L13HckAj1nQaHn/6k+kxytkvRH9/tWfQby+RtP71wH//jdhy3+N961Bf/uTsO9hCuuxMQVIw/u67lDIDbypfg4Bc/tZdx1QaWbh0wvNAtrorpFaB4wFjuujHcBbg+18HBzL8QLAzG4D/gX4jHPuJxFsO/DHFv51ViI75uPVB6PnMdDrq7eP4o1k/TSCbQ/H11d/wl8j4Ubje9fRHO2YeY1G1/vXkQzoeA1gvdHyGovkeI2m9691/SwP7E/XEdZLyPcwhfXYWI13Ekf4DbzAsITeJyYEPAWk4tVXAcE6xg8Cv3bOHfYXP4/34vmHsPWvBNY657Yc814MndUM/nhhZjcBXwNuc879v4Fu1D+ulwPbnHO7B9Xz+FjNMRyvcGaWgzev7F9DFuv1FcLMxuDNo/us62MGj37WGa6vr17MbDFwPD1fI+FG43tXvwZ4zEbj+1efBnq8+lhvpL9/9SmS4zUK379+6d+fH7b8fKDmCPuTuO9h8a4tGk03wmpk8U6O6QBuD2v3GN5o37XAucDjQCuwKKzdnf7yz+PNw/oDvE+MF8V7X4fqeOG9AXXh1aKdEnabFdLuw/5xvQovnH0I+L2/jQ/Fe1+H8HjdjFdvd4X/mvkosAbvjedMvb56/z36j62gjxrIkfj6Ah7FC48rgHOAfwL2A9uAiUc6VqP1vWuwx2y0vn8dw/Eale9fx/I36T82at6//P0x4EW8cphPAucBP/T35+ojHa9EfQ+L+0EdTTd6h4MKf9kdYe3Sgf/AOxGiFe+Tc1Ufz5eMd+JcNd40Qm8Cl8V7P4fyeOFdyc71c1sZ0u4U/493D94JXHXAb4Hz472fQ3y8LgL+6L/Rt/tvZk8BJ+n11fffo//Yr/xjNaaf5xoxry/gVv93Xefvy3b/P7rCox2r0freNdhjNlrfv47heI3K969j+Zv0Hxs1718h+5QDfM/fpzb/+F1xtOOVqO9h5m9UREREREQSjGrWRUREREQSlMK6iIiIiEiCUlgXEREREUlQCusiIiIiIglKYV1EREREJEEprIuIiIiIJCiFdRERERGRBKWwLiIiIiKSoBTWRUSkT2ZWYWbOzB6Md19EREYrhXUREYkb/8PAgC6lfbS2Zna8mf2Hma0ys4Nm1u7f/9XM7jazE47y/IvN7MdmttnMWsys3szWmNldZlYc6b6JiESDOTeg90gREYkyM5sOXAn8C5ACvAXcC9zvnOuMZ98AzCwVOA6oc87titE2HIBzzgbb1swMuN2/JQGrgFeBg0A2MA84FRgDfMo5970+1r8T+ALQAfwGWOO3Pw04CWgGPuqce3yQuyoiMigK6yIicWZm+4CJwGzn3Fvx7s9QilJY/wpwB7Ad+LBz7o99rDsZ+CzQ6Jz7RthjtwNfBbYCFzrn1oU9/n7gESAVeI9z7qWB7Z2IyLFTWBcRiSMzK8ELmZucc9Pj3Z9QZlYBbAEecs5dHb4MLyDfCSwFsoC1wB3Ouf+LYBvHFNbNbAqwEegCFoUH7T6eI8U51xHycwXwNuCAE5xza/pZ75PAD/xtzXLOdR2tvyIi0aCadRGR+DrPv38OwMzK49iXSJTjlZpUAD8Bfg7MAX5lZkuGsB8fwyshevxoQR0gNKiHrf/L/oK67z5gJzAdOHuQfRURiZjCuohIfL3Xv/+LmX0HuDp+XYlIFfA959wpzrnPOec+ClyC9//KLUPYj9P9+xcHuf4Z/v1vj9TID/krw7YpIhJzKfHugIjIaGVmyXglJOCN8H7ZOfdqHLsUiWrga6ELnHMvmNk2vBMyh0qBf78j/AG/xOXqsMW1zrnvhPxc6N9vH8C2Am2KBt49EZFjo7AuIhIHflD/ZyAPb1R3mRteJxGt7mfGmu14M68MlUD9el/HrgL4StiyauA7A1w/km2JiMSEymBERIaYf1Lpc8D7/EVPD7OgDlDbz/IOhvb/lsCUkr3mQXfOrXTOmX9CaupR1i8bwLZKwtYREYk5hXURkaE3BrgML9gCvBDHvgx3gWkazx3k+n/w75ceqZH/TUhV2DZFRGJOYV1EZIg55zbjvf+eBFQ75zb21c7MLjOzcjP7vpm9ZGbFZvZNM9tpZhNC2l1oZl80sy/4V+pcZGZvmdli//FMM/ua/+/JZva2mY2UMsgH8T70XGZmMwe5fidwqZnNPkK7j+PVqm8EXh7EdkREBkVhXUQkPs4FkoFf9/WgmY0DrnLOVQMNwBvAOXg12OPxAiZm9o/AtcA38a6yOdY5twrvKp4L/Kf7HP6osHNuL/DzPqYwHJacc+/ineg6BnjOzE7rp2leP+tvBr6BVybzlJnNCm9jZu/Du7JsJ3CD5lgXkaE0UkZWRESGm4v9+/XhD/gjxD8GnvYXnY83mvsIcBbwpnOu1symAvfgTf94C5BN97SJm4ApZnYG8BrebDOBGVKOOE1hPJjZg0d4+AbnXPMRHv9XvJM/vwz80cxew5sD/iBeSK+gu8zllT7WvwPIBD4PvGFmLwDr8AL8acDJQAve1VEHO0WkiMigKKyLiAwhM8sG/gm4wl/0TTP7INCENzqcD0zzH/uYmRUAs4ErnHPOzN4LPOs/fjle2D8M/KdzrjVkU3vxLt4zB7gfKDCzdKDKOfdgrPbvGHz0CI99Fu9bgz75J+feYWY/Az4JLME7vpl430q8i3f10Z/43zqEr98F/JOZ/Ry4Ee8D0bl4I+lbgW8D33HO1US8VyIix8iG3wQEIiKjh5ldjRfUz/N/fh0vUB4GLgLOcs6d4z92KvC6c67VzD6MVxozyznXbGb7gH8H7nXOtcdhV0REZBBUsy4iktiWAb8I+TkduBBYC/wIyDazp/0TSDtCRtcPAZ8PKR95DvixgrqIyPCikXURERERkQSlkXURERERkQSlsC4iIiIikqAU1kVEREREEpTCuoiIiIhIglJYFxERERFJUArrIiIiIiIJSmFdRERERCRBKayLiIiIiCSo/w9D8nuyrDy3FAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title('Network SNR compared to '+refname+', F=1')\n", "plt.ylabel(r'$\\sqrt{\\rho_0^2 +\\rho_{new}^2}$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) \n", "\n", " plt.plot(rho,newnet, \n", " label = r'$\\rho_0=$'+str(rho0)+\" \"+refname,\n", " color = colorlist[i])\n", "\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('network-snr',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "OGEKBh1hDKZO", "outputId": "a7d27a14-c39e-44fa-f751-e996c4f71c13" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvsAAAIGCAYAAADKjUCJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAADfb0lEQVR4nOzdd3gU1frA8e9J75DQklASeq8CApYEQcFLUwQVFBEF9dpABBGxcFEUBQV/gorSReF6BUEUUNQEkN4h0ksSQgmEkl435/fHbGLKppJkU97P8+yz2Zlz5rwzO7t5Z/bMGaW1RgghhBBCCFH52Fg7ACGEEEIIIUTpkGRfCCGEEEKISkqSfSGEEEIIISopSfaFEEIIIYSopCTZF0IIIYQQopKSZF8IIYQQQohKSpJ9USaUYYhS6r9KqVClVIL5cVop9a1S6gGlVIXeH5VSTyqltFJqSWGmW0t5i6ekKKVslFJvKqVOKKVSzOsYbO24yhOlVKBsl4pHKRVsft8CrR1LeWf+/6KVUv5l0JZSSg1TSm1USkWav3euKaWOK6V+UEqNVUrVylEn4/tXK6X+zGfZU81lZuWYHpilfsYjXSl1Uym1Syn1mlLKqYTXc6qFNnM+5pRkm1navtv8vb5WKXUxS3tupdFeZWVn7QBE5aeUqgesBroAGjgM7AXSgUbAMGC4eVoXK8UYCvgBDbXWodaIoaRUpnUpoheBd4EbwFogHjhu1YgqufKwr5mTunNAmNba3xoxiKpHKWUH/A94wDxpH7AF439cU/P0h4AzwM95LKanUuperfWmYoQQD/xg/tsO439pN6ArMFQpFai1ji/GcvNzBvgrj3m7S7itDP8HtC+lZVcZkuyLUqWUqglsAxoAfwL/1lqfzFHGF5iMkfBXZD8CO4FoawdSgIoSZ1E9ZH4eorXO84yZEKJS6wXYAxdKuZ3nMRL6S8D9WutDWWeaz+g/CkTmUT8BcAGmA8VJ9qO01k/maPMu4HegM/ASMKMYy83PXznbLAObgFUYJwP3kff2FPmQZF+Uti8wEv0tQF+tdWrOAlrri8BLSqn/lnVwJUlrHU0FSKArSpzFUN/8fNaqUQghrEZrfaaMmnrY/PyfnIm+OY6rwGf51P8NaAV0UUo9qLX+8VYD0lpvVUotBcYA/6Lkk/0yp7WemPW1UspaoVRoFbqPtCjflFJN+eds6wuWEv2stNa5fh5UStVRSs1WSp1SSiUppW4opYKUUo/k0eYSc3++J5VSLZRSq5RSUUqpRKXUAaXUsBzlA5VSGqMrAsC5HP0Q/c3lMvu5m2P6UikVrpRKzeirWJi+8Eqp2kqpBea+h0lKqaNKqVeUUrYWyubbTzdn39TirEsey31QKfW7eVsnK6XOKKU+M/8Ck7Osv3lZocroMz9OKfW3ed0iM7ZXXtsjn+1ko5R6Sim1TSkVbX7/jiml3ldKVbe0nYCGFtbb4razVN+8/boro//tTWVcU7JNKXVvPnXdzf1JDyilYs11DiqlJiilHHKU/dLczqM5ptdQRp9brZR63cJ2uG5ef8eC1iVLvXvMn5NY8/b7UynVqxD1GiqlPlfGtTRJ5u0QpJQanKNcofa1LOXbKqWWmj8zycro1/xLfu+PUspDKTVFKbVXKRVj3rYnlVILlVK3mctMxejCA+CXI4bQHMtzVEqNV0rtU0rFKaXize/bJKWUs4X2C/zM3yql1ECl1Dr1T3/vC0qpTUqp0fnUKfQ+qpTqbX4/D5v3oySl1FnzuvjlUedWPg9dzO/rTfM23q6UGqyyfE/kUa+2UupDZXwfJpj3251KqdFKFS27U3n02c86XSn1L6XUVnM7MUqpX5VSnYvSDlDb/Hy5iPUymIC3zX+/q0rumrXD5ucif++KykvO7IvS1B9QwCGtdUhRKyulmgFBgC8QDqwBvIBAIFAZfRL/nUf1TsBcjC/izUA9jL6M3yml7LTW35jLXQaWAkMAV4yfC+OyLCfr3wC1gD2AE7DVvH43C7lKXsAuczubzc89gU8wrlW41W5MRV2XXJRxMdirQBrGrzFXgNsx+sM/rJTqrbU+kkf1b4AHMfpungLuAEZinLnqpLVOLsxKmP+5rwSGAkkY+0AccBdGd6+M/qgZP9NvBELzWO+i/CP+F/AKcALjp/DmQA9ggzL61QbliNMP4yfmphg/5Wf01+0GzAT6KaX6aK1TzFX+BJ7F6GawMsuiemLsR5jnZT0b1xHwBP4swvZ7HFhmXuZujH62rTHOJM7Lp959GNvODeNah1+AGub1CVRKfaC1fsNcvND7mlJqJLAA4//NQYzPgC/QB7hfKfW81vrLHLE0NsfbCOMajM1AIuAPPAHEYvykf9Dc9kNk78MMEJVlec7m5d0JxGC8vybgHozt/ZBSqpfWOtbCpsnzM28+WAkC0FoXOik17+OLgCcxrl3aCYQB3kAHjO+DBRaqFmkfBb7E2NZHMPY/B/Pyn8X4HPXQWp/II8yifh76Ylwr44CRcP6NcTD4AzA7n23REdiAkZyGYrxPLhj73dcYn4/H8qpfDM8Ck4D9wK8Y2+M+4E6l1G1a68Je53Me47P/rFJqQ5bPeVF8D7xujuExjO/QW+Vhfr5SAssSlYXWWh7yKJUHxheXBhYUs/6ejPqAfZbp7TH+kWvg0Rx1lpina+AtQGWZN8E8/ZyFtkLN8/zziOXJLMv9BXDNp8ySfOr+CbhnmdcMI1HUwPAc9YLN0wPziMlizEVYl5xx9jdPvwF0yjLdDqM7lsb4B26TZZ5/lnU7CTTNMq82RpcaDYwswvv+orlOKMaFnxnTnTGSCQ1sLOp7mE97Gds5HRiVZbrC+BleA0E56qgs++eHgGOWedUxDkA0MC3L9JrmNs7kWNbn/HPhekKOZU00z5tSyHWpi5Foa+DxHPNezfJeBeeYVw+ja1cK8HCOeS2ybNt7irivdTIv80bO/RjojpE0pwDNs0y3NW8LjfEd4pajnjdwu4V9MDSf7TLLXGYfUDPL9IwDcA18WYzPfGBGmSLuc6+Z64UB7XLMswf63eo+ap4/CPDIMc0OeI+8P0dFbgvjgC/SPG98jnkDME4e5HqPzPXCzPPGkv27pa75/dLAU0XYthb3ySzTEzC6lGbd3j+a5y0uQjsPZ9k/LmB8R44C2mZdDwv1MvarH8yv+5lfnyH7/7mp5umz8tjnLO7vGAfGGni9KPtkAeuaEcuSYrwPRXkUuPwsZd2Kuz5V8WH1AORReR8YZ2s08EEx6t5trhtl6UMNjDfP35Vj+hLz9O0W6tgD1wv4R+CfRzwZX9DJQIMCyizJY3o60NJCvRfyWJdgyjbZ/zOvfxIYifZl8/z7s0z3z/Lle5+Feq9aaquA9/4MFg7kzPN8MM7w6pzbsqD1zqe9jO38nYV5Nc3zUsj+j3iAefqfeSzTx7yvRJH9gDMjifXLMu04xkHRK+Z5PS18hroXcl3eNpdfn8f8vVhO9j82T387j3oPmeevLuK+tso8/4k85mfsH59YaOtY1m2ezzpn7IOhecx35p8DoG4W5ncyz0sCqlv4nOT3me9qfv+OF2F/sweumZd9Z2nto4VY5gWMXzfcb7WtLNvqQB5trbD0HmFcRKqBRXnUu808f38R1sviPpll+vv5tGNxH8qnrRcxDpJzJq3XMX5VqW+hTsa2+iHLtK3maf/OMm0qhUz2MQ6Qm5rb1Bi/MuY6OC3uI0sseT1ybTeMA+wlRXyMLkQsGW1Ksl+Eh3TjEWVBF6PO3ebnNVprS91PlmAkKLcppVx17iHGNuYKQutUpdRZjC92H4wv/6Lar7UOL0Y9gINa62MWpi/H6HJ0m1LKRWudUMzlF5syhpHrkSWebLTWiUqp7zH+OQdgJKFZpWIcLOSU0UXAp5Bx1MPoupGCMaxdzjguKaU2YSTbARgJYUmxtM9EKaWuYXRnqYnxKwxAX/PzKksLMsd5CqP7TFOMXz3A2EZtMbqPLFbGdRDNgYX8s/3uAYLM78mdGInqnkKuQ4D5+ds85i/H2P9zynd9MM4WgtG1olDMfZDvxUgo1xRhufeZn7/RBVznU0i3YZxBPqO13plzptZ6v1LqCMb70o3c+0Gen3mt9W6MXz6KojPGLwqntIXrlApQlH0UyOxu1g/jV0R3jMQQjDP8NkAT4MAttnWX+fn7POJegTEyTU4FfY72KaXigPZKKSetdVIeyy+KXOtFEb+nMmit5yqllmGMyhOI8d62xuh69yzwiLkrX0HDUk7B+Cy8qZRaorVOLETzfsq4bianFcAIrbWpkKtRFHkNvRmVc4LWekIptC+KSZJ9UZoyvgBq5VvKsrrm53OWZmqtryulooFqGD/r5xyBISKP5WYcOBT6Ysccipvog/FzdS5a62il1E2M7h8+5F6XslADY5ukkPeQdRmj3NS1MO+y1jrNwvSibu+MZYfn888qvzhuRX77TMb2yeBvfp6rlJpbwHJrkT3ZH4vRN3+x+RngD4yz/lHmaW9hnDV2AzbksW0tydgmoXnMz2u6v/k5pIDrIYvyWa6BkVwCRBdhuQ3MzyctFSyGfL9LzM5iJPuW9qlb+cxbcivrV5R9FKXUexh9wnMNAJCFRx7Ti9JWxnaz+B2Xz3R/8/PPhbgOtwYlM5xmrvXSWseZ23fIXTx/WusYjGtkloFxwT3GvWPexfhOX4Ix6k5+y9iilPoV4zqWl4CPCtF01mtUnDG6tzY3t30A47qhkmaNoTdFCZBkX5Sm/cDjGGc7iqooIzBYOruRXow2C6MwZ1zykt8vHKoQZXIqydG0ysv2vtU4bkVR1iFj2/+JcaFefq5l+XszxpnunubX92QsR2udcWfbB5RS7lnnFSGuDEXdNhnr8x3GrzQlIWOZKRhnG/OT68wgJff+3uo+dSuf+aK2VZBC76NKqSEYZ4xjgHEYFxJfzjg7rpTajnHdRF7bpyS/Q/NqI2Mf+Qnjuo78FOoC9UIorf8NAGitr2GcBIjAuBagpVKqqdb6VAFV38D4VWuSUurLAsqC5XH2x2FcDP2BUupPrfW+Iq9ACTEP9lCziNX+0lpbujBd3CJJ9kVp+gWjq00HpVQrrfXRItTNOPvS0NJMpZQnxln9dCrOTTb8LE1USlXDWBcT2dclY3SHXLcFN3fx8C7B2KIw/pk6Ypyls3RWL+O9uFiC7eaU0W4DpZRtHmf3yyKOgmQk+N9prRcWtpL5V5z9GCMUtcBI+kO01hnv+58YI9zczT/JflAR4rqAcXbPH9huYb5/HvUyRhZ5W5fcOOXXMBJlB+BZXcjRhPjnLHDzEooj3++SHPPKYp8q6fXLyxDz8xSt9WIL85uUYFsZZ9wtfsfxz68ZOZ3H6Ab1f1rrP0ownvIg6/rUwhihLE/m7mSrMa5ZmUAxDkq01nOUcWOtwRi/DhQ43G4pGkLe+0N+JNkvBTLOvig12rhT7o/ml3PNCWqelFJ3Znm5xfz8gFIqV7KLMaQjwF4L/fWLIyOxLs0D4I5KKUv/4DOG3NyXY10yEg9LdXpiXOhnSZHXxdxNJCM5fDznfKWUE//cRGZzzvklRWsdgdHdwgFj6M2ccXjzT5/uLTnnl6GMfr9D8i1lWcaZ+mcw/hn+aWFeP4yzrjew3J86LxnvTV7DuOY1hGFx1yfPfc28T/2O0YXkgSIs8zfz8+MFfWcUFIPZPowuD42VUrmuOVBKdQDamZeTq09/KdiHcSDUVCnVo6DCt8DL/Jzrlydl3HOhON0r87LV/PxwHvOH5TH9Vj5HVlWI8f+zHkzl1SUqp7cwTvq8QvHfn9cwRj+6Ryl1d0GFS4vW2l9rrYr4eNJa8VZ2kuyL0vZvjC+6nsB6pVSus0nKuGHNHIxhFQGjDyPGP8UawByllH2W8m0xfp6GfMZvLqKMM1MtS2h5liiMg57Mgxdl3HjsLfPL/8tRPuOM7vNKqdpZ6jQm/zszFnddMrbla0qpTlnas8X4hcYb44LYX4u43KLKiOMDpVTm2VjzWOlfYIx3/msRfykqaWswkvC+yrjpW65+z0qpNkqpURbqZiT0GfeIyDwDqI0xzy9gDOHnBGzWWhflDN9CjMS2n8p9A7lx5N2l7mOMseunKqWeznmDH2Xc3OsepVSfHPUK2tfexUg8PldKPZBzplLKXik1QCnVPcvktRjXL7QEFiilXHPU8VZK3Z5l0lWMRL2O+Re/bMwXO843v5yrlMrsWmAu/4X55WKt9c081sMipVRXpdRxpVRhx2bHfNFxxr0UvlVKtcmxTDul1L+KEkceMmIao7Lc4E0ZN5v6wmKN4vsBY1z3DkqpV7LOUEr1x8KBu9nXGP8fnlVKva4s3DhOKXW7Uiqv+ta0Thk3aaudc4ZSqgH/nKHeWdhBHcwDOCzH+DX3yeIEZf5lbon55ds556t/bi5WrOWLCsrawwHJo/I/MH7CzRjyLx0jSfof8F+Mm/6YzPN25qjXDOPstsa4sHAFxpmgFPO0Ly20tcQ878k8YgnGwnCWwMvm6TEY/7gWmB81zPOfpIAhJPMqk2X6TxhnrSMxRq34mX+GkbQ0zJ0jxs1wNEZCswbjACABo291KJaHmCv2uvDPeOSpGDeM+o5/hsK8ArTNUd4/4/3JY5sEYmGoxwL2Fxvz9tHmdf3ZvK9k7AungboW6lncHoVoz+I+UdByMfbrv83zbpiXswIjec+4v8BOC8tzwegypTES4Wo55mfcn0IDLxfj8zYC43OmMc5Uf4dx86l0jANKi+8H0Nu8HhrjbPBG83bfZn7vNTCjKPuaucxjGMNaZrx368xld2KMs6+B53Ist3GWbXgd47PzPcaY+CnAnBzlV2fshxgjES3IGivGBYwZwxtGY/ziuIp/huLdTe4hKJ+k4M98YMZ7VcT3SPHPd1Uaxggn35n3nSvAzVvdRzHOLGcMCxlm3n4bML5zNpvfV0vfhUVuyzy9L/98Nx8yr89f5v1ujnn6SQvLa2/e3zTGd+PvGDed24xxMKmBlUXYtnnFZ3F6lvlFeh8xPlMZ798hjH064/OScV+B82S5h0SO/eqHPJbrzz/fD5oijrNvLlOffz5zPXLMCzdPf6wI6zq1oM9CaT2A0RjfFRmPjO2yO8u0t8o6ror2sHoA8qgaD4wE7mGMJD/c/A8nESORXIFx85dcNyLBuKviHHO5ZPM/r2AsjMFuLr+E4iX7NsCbGGeuM74kM/8xUDLJ/hKMs+OLMcasTza3Nx6wzWOZtTHutBlpLn8coz+nDXn/U7uldcHo7/kHRiKWjJF0zcVygu2f3z8eipHsZ1mHpzG6FsWa1+M48AHgmUcdi9ujEG1Z3CcKs1yMJHIsRlJzg39GM9qBcVa7XR7LzLjxzS4L80Zlec/aFPPz1ot/7jwcY17Hewt6PzDutvohxpn1OIyDrbMYXWvGAr5F2deylGuKcffeE+ZlxmH0Yf4JGAN4WYilGvAORiIVb65zAuNscMccZWtgJPjnMQ5Uc+2TGAfPr2IMHBBvjuMQxmg1zoX9POexf+tivk+DMQ6qMq6ZicD45WxUjnLF2kcxEv7/mffJRIzP0FTztrC4zOK2ZZ7XFViP8T0dj5GIDcUYQlZj4f4n5nqe5v1oj3l/TcI4QNmMcdfsxkXYpnltizzjNs8varLfGHge40Dzb4wDx1Tze7nVvF95WKiXsV9ZTPbNZTJuXlasZN9cLuPAfmOWaRk39rtCjoPbApY1taDPQmk9KHiMf6vEVdEeyrwxhRBCCCFKnFJqCsZde+dprV+0djxVlVLqEYxfTcZqrXN2GxWVmPTZF0IIIcQtMV9LUc/C9D4Yw0qCeSx6YTW9MLqSFmZoT1GJyJl9IYQQQtwS84W4P2F0AQvF6C7SDOOOsgAfaK3fsFxbCFGaJNkXQgghxC1RSvlh9K8PwLg2yQ3jOpZ9wHyt9RrrRSdE1SbJvhBCCCGEEJWU3EG3lNSsWVP7+/tbpe34+HhcXV0LLigA2V5FJduraGR7FY1sr6KR7VU0sr2KRrZX0Vlrm+3bty9Ka23xZmyS7JcSf39/9u7da5W2g4ODCQwMtErbFZFsr6KR7VU0sr2KRrZX0cj2KhrZXkUj26vorLXNlFJhec2T0XiEEEIIIYSopCTZF0IIIYQQopKSZF8IIYQQQohKSpJ9IYQQQgghKilJ9oUQQgghhKikJNkXQgghhBCikpJkXwghhBBCiEpKxtm3suTkZK5fv05sbCwmk6lEllmtWjWOHTtWIsuqCmR7FU1Rt5etrS3u7u54eXnh6OhYipEJIYQQIidJ9q0oOTmZ8PBwPD098ff3x97eHqXULS83NjYWd3f3EoiwapDtVTRF2V5aa1JTU4mJiSE8PJwGDRpIwi+EEEKUIenGY0XXr1/H09OTmjVr4uDgUCKJvhDliVIKBwcHatasiaenJ9evX7d2SEIIIUSVIsm+FcXGxuLh4WHtMIQoEx4eHsTGxlo7DCGEEKJKkWTfikwmE/b29tYOQ4gyYW9vX2LXpQghhBCicCTZtzLpuiOqCtnXhRBCiLInyb4QQgghhBCVlCT7QgghhBBCVFKS7AshhBBCCFFJSbIvhBBCCCFEJSXJvqiSlFKZDw8Pj8y/3dzcClU/ODgYpRSzZs0qdrmkpCQ+//xz7rnnHmrVqoW9vT3Vq1enS5cuTJo0iePHj1tcZkxMDO+++y6dOnXC3d0dFxcXWrVqxcSJE4mMjCxU/EIIIYSoGuQOuqLKuuuuu3jmmWdITEzE2dkZoMyGQj179iz9+/fn2LFjBAQE8Morr+Dj40NcXBwHDx5k0aJFzJo1i/DwcOrWrZtZ7+TJk/Tp04ewsDAGDx7M008/jb29PTt37uTTTz9l8eLFrFu3ju7du5fJegghhBBV2c6z13BztKNN3WrWDiVPkuyLKqtRo0Y8/vjjxMbG4u7uXmbtJiYm0q9fP86cOcPq1at58MEHc5VJSkpi9uzZ2YarTEhIYMCAAVy4cIF169bRr1+/zHnPPPMMzz//PL1792bQoEEcOXKEOnXqlMn6CCGEEFVRcpqJl1cc4DY/Tz5/rBPBJ65iStfWDisX6cYjqrSUlBTi4uLKtM0FCxZw/PhxJk6caDHRB3BycmLy5Mn4+vpmTlu4cCEnT57klVdeyZboZ+jcuTPvv/8+V69eZebMmaUWvxBCCFFVhUbF89HG42itcbSzZfGTXRjY3peBc7cxaskedl1Ks3aIuUiyL6qsH374ARcXF3x9falduzYvvfQS0dHRZdIuwOjRo4tVb8yYMXmWefLJJ7G3t2fVqlXFD1AIIYQQFu0Jvc7ibaGciowl6MQV3vjxCP/+dj/RianMHNKObj7lr9NM+YtIAPCfdX9z9GJMseqaTCZsbW1LOCJo5evBOwNa3/JyIiIi+OSTT2jcuDGrV6+mSZMmfPHFF9jYlN2xZ9euXRk6dChNmjQhMjKSoKAg5s6dy+bNm9m+fXuhL9QtjpCQEDw8PGjYsGG26SaTiRs3bmSb5urqmnk9QUhICO7u7jRp0iTPZbu4uNC8eXNCQkKIi4sr1fUQQgghKrukVBOfbDpJu3rV6N/Olwc71sXJ3pbXVh3h4Pmb1PN05sOH2jK4Uz3sbW0IDj5j7ZBzkWRflKkrV64wePBg1q5di4+PD23atCEwMJCBAwfSr18/Vq9eTWhoKLa2ttja2vLiiy+WShy7du3K/Ds2NpZnn32Wdu3aMWXKFD799FOmTJlSKu2CMZqOt7d3runHjh2jbdu22abNnDmTCRMm5Fsvp2rVjIuEoqOjJdkXQgghikFrjVIKB1sbdpy5hp2NopqzPXN+P8W+sBvUre7MB4Pb8lCnejjYle+OMpLsl1O3cga9rC84LYrnn3+eMWPG4OPjA5CZvJ44cYJmzZrxwQcfsGfPHgAGDRpEt27d6Ny5c7ZlhIWF0bhx40K19/bbb/P2228XquzEiRP5z3/+wy+//FKqyb6HhwcxMbl/tWnYsCGbNm0C4NChQ5lJfkH1csook5H0CyGEEKLwNhy5xOfBZ/jfc91xtLNhwn3NmBt0ms+Dz+BTzYl3H2jDw53r4WhX8r0oSoMk+6LMHDlyhA0bNrBkyZLMaaGhoQA0aNCAZcuWceedd2bO69WrF1999VWuZN/X15eDBw8Wqs3atWsXOj57e3t8fX2JiooqdJ3iaNOmDVu2bOHcuXPZuvK4urrSu3dvAOzscn80M+qdPn06z648CQkJnDhxAn9/fzmrL4QQQhRSmikdk/mi22ou9rg72fH70UiW7Qxj97nr1PFwZNqg1jzSpX6FSfIzlO/fHUSlsnTpUgICArIloRs2bMDLy4u+ffty5MgR6tWrlzmvfv36HDlyJNdy7O3tadOmTaEeRUn2k5KSiIiIKPUhK4cMGQIYo/IUxeDBgwust2zZMlJSUjLLCiGEECJ/cclp9P10Kwu2ngPAVinStebFFQcIjYpn6oBWbJ7Ykye6+1e4RB8k2RdlaP369ZlnrgGioqJYtGgRc+bMwc3Njfj4+GwHAu7u7ly9ejXXcsLCwrCzsyvUY9q0abnqX7t2zWJ8b731FmlpaQwYMKAE1jZvo0ePpkWLFsycOZMff/zRYhmtc4/TO3r0aJo0acLs2bPZuHFjrvn79+9n8uTJ1KpVi4kTJ5Z43EIIIURlobUm/FoCAG6OdgQ2q4WtjWL41zt55KudnLkaz1v9W7HltZ48eUdDnOwrXpKfoUJ241FKDQGGAZ2B2kA4sBp4X2sdm0+9qcA7ecxO1lo7ZSkbCvhZKPeg1npNsQKvwi5fvsyxY8fo0aMHYJxFHzZsGG+++SYjRowAwMvLi/j4+Mw68fHx1KhRI9eyfH19CQkJKVS7NWvWzDXtvffeY+fOnfTs2ZMGDRpw7do1/vjjD4KCgrj99tt56aWXCr1ef/zxB0lJSRbbfe655yzWcXZ25pdffqF///4MHjyYwMBA7rvvPry9vYmJieH48eP897//xdbWlvr162fWc3V15aeffqJv377069ePhx56iMDAQOzs7Ni9ezfffPMNbm5urFmzplAX8gohhBBV1f/9cZr5W86weWJPwq/Hc/xyLH/9dY6abo682a8lj93uh7NDxU3ws6qQyT4wASPBfwOIADoCU4GeSqkeWuv0POotAHKeEnU1T/vJQvlfzcvN6kTxQq7agoKCcHFx4bfffuPIkSOEhIQwZcoUAgMDM8t06NCBCxcuZL6OiIigffv2uZZlb29PixYtih1LYGAgR48eZenSpVy7dg1bW1uaNm3K9OnTGT9+PE5OTgUvxGzjxo0Wz7I3b948z2QfjLv37tu3j0WLFvHDDz/w8ccfEx0djaurK02aNGH06NE8/fTTNG/ePFu9li1bcvjwYT799FNWr17N+vXrMZlM+Pn58dJLLzFhwgRJ9IUQQggLjl2KwcvVgToeTgxo70NscirjVh5g25lr1HB1YMq/WvJ4t8qT5GeoqMn+AK111v4dm5VS14GlQCDwp6VKWusIjIODTEqpERjbYamFKlFa650lEnEVFxwcTGBgYL4j4wwdOpThw4dnvv7zzz8ZP358iccyaNAgBg0alPm6OKMXBQYGWuxqU5Ryzs7OvPDCC7zwwgtFartatWpFGmVICCGEqOpuxKcwaN42hnWpz4Od6jF700k2n7yKl6sDk+9vwYjufrg4VNS0OH8Vcq1yJPoZ9pif6xZxcSOBSIyz+KKUBAUF8cQTT+RbpkmTJrz88st89NFHuLi40Lt3b+64444yilAIIYQQlcml6ES2nori4c718XR1YMJ9zdhy8ioPzNuGl6sDr9/fghHd/HB1rJDpcKFVprULMD8fK2wFpVQ9oCcwR2udZqHIAKVUAmALHABmSH/9ojt//jynTp3KNqxmXh5//PEyiEgIIYQQld3S7WEs3nYObw9HlmwP48/jV6juYs9rfZszsrt/pU/yM6jCdEUo75RSdTGS8UNa63uLUG8y8D7QXmt9OMe8zzB+LTgH1AFexDigGKG1Xp7H8p4BngGoU6fObStXrsy3/WrVquU5XvqtMJlM2NqWn/5m77//Pt999x2HDx/Gxqb8DQBV3rZXeXcr2+v06dNER0eXcETlW1xcnNzzoAhkexWNbK+ike1VNBVteyWlaTacS6VjbVv8q9ly7FoaP51J5dj1dFztoa+/Pb397HG2U6UWg7W2Wc+ePfdprTtbmlfhk32llBsQDPgCXc398gtb9xiQqLXuVIiytsBOwFtrXb+g8p07d9Z79+7Nt8yxY8do2bJlYcMttPJ8B93ySLZX0dzK9iqtfb48y7heRRSObK+ike1VNLK9iqaiba/YpFQCZgbTv50PF28m8fuxSKo52zPmroaM7OGPu5N9qcdgrW2mlMoz2a/Qv18opZwwRtFpBAQUMdHvCrQAxhWmvNbapJT6H/ChUspHa32pGCELIYQQQogSsubABX4/FslnwzoSdi2BdvWqsWxHGB5Odrx6bzOevKNskvzyrMIm+0ope2AV0BXorbXOfavV/I0E0oDvitKs+bli/xwihBBCCFFBmdI1NgqUUsQkpXIuKp6nluwh6MRVPJzseKV3M0bd6Y9HFU/yM1TIZF8pZQN8C/QC+hV1eEyllAPwKLA+j5F9LNWxA4YC4Vrry0UMWQghhBBC3KKIGwmMWryHV+9rTn0vZ/46dZW/L8YQbk7yn7zDn2rOkuRnVSGTfWAeRuI9HYhXSnXLMi9Cax2hlPIDzgDTtNbTctTvD3hheWx9lFLDgEHAeuA8xgW6LwC3Ydy5VwghhBBClAGtNdfiU6jp5oi3hxM1XB34eusZ9oXdxN3JjnG9mzLqjoaS5Oehoib795ufp5gfWf0H4663CmPITEvDv4wErgM/57H8c0BtYCbGQUECxsg8fbXWMh6/EEIIIUQZeXNNCH+djmLusI7MCzrDznPXcXeyY2yvpjx1pyT5BamQyb7W2r8QZUL5p499znmDLE3PMn8ncE9xYhNCCCGEELcm5EI0TWq74WRvS2tfDw6E32DA3G24O0qSX1QVMtkXQgghhBCV0/HLMfT/7C/+HdiI0KgENoRc/ifJv6Mh1VwkyS8KSfaFEEIIIYRVhV9L4NSVWHq1rANA27oefBF8FndHO17u1ZSnJckvNkn2hRBCCCGEVb37y1H2hd2ga0NPNoZESpJfgiTZF0IIIYQQZep6fArzN59hzN2NuBqbTEqaievxKWw7dU2S/BImyb4QQgghhChT1+NTWLjtHDvPXuNQRLScyS9FkuwLIYQQQohS99WWM1yLT+GBDnX5vz9OkWbSnL0aL0l+KbM0Br0QlcaVK1eYPHkyP/74I2PGjGHJkiUMGTLE2mGViA8++IChQ4fSqFEjlFL4+/sXqt7UqVNRSuX5sLfP/WWbtS0PD49CtyWEEKJqM6XrzL+PRESz5sAF7v90K3+diuLlXk35a9I9jL+3mST6pUjO7IsKZ/v27cydO5cVK1bg6urK1KlTGTlyJLVq1cpWzmQy0b9/fxYvXkzr1q3ZunUrkydPZuPGjVaKvGS98cYbeHl50alTJ27evFnoeoMHD6ZJkya5ph8+fJiZM2cyYMCAfNu6cePGrYQthBCiitgXdoOXvtvP2/1bsebgRTb+fVm661iBJPuiwunRowfh4eGsWLGCcePGMWHCBIvlli9fjo+PD61btwbA0dGRbt260b59+7IMt9ScOXOGRo0aAdCmTRvi4uIKVa9du3a0a9cu1/Rnn30WgKeffjrftlq1akVCQkJxwxZCCFGJpZnSiU5MpYabIylpJpJN6Tz37X4ZJ9+KJNkXFdKePXsALJ6FzrB161Z69OgBgNaaX375hfnz55dJfGUhI/kuCQkJCaxcuZK6devSt2/fUm1LCCFE5aS15tGvdqKBmm4O/Pp3JO5OkuRbmyT7okL67bff8PT0pEuXLnmWcXR0xMnJCYClS5cSGRmJyWTi8OHDFs9sV2Xff/89MTExvPzyy9ja2lo7HCGEEBWE1pqdZ6/TrZEXf1+MITHVxN8XY3BztGVc76aMuqMh1ZwlybcmuUC3HHtk/g7+t/c8AKmmdB6Zv4MfD0QAkJhi4pH5O1h36CIAMUmpPDJ/BxtDLgHGkFaPzN/B70cjAbgSm8Qj83cQfOIKABdvJvLI/B38dSoKMO5c98j8Hew8ew2AM1fjeGT+DvaFXQfgxOXYEl232NhYlixZwqxZs9i6dWu2eVprfv75ZzZt2mSx7qVLlwgJCaFXr17Y2OS9Cz/77LPs2rWLNWvWEB0dzZw5c5gyZQotWrQo0XXJkJiYyOTJk5kxYwbTp09n1KhRpKam0rhxY5588slSabOkLFy4EKUUTz31lLVDEUIIUYH8dOgiw77eyUNf7KD/Z39x/noC43o3ZdvrvRjXu5kk+uWAnNkXZe7w4cOMHDmSzp07c/DgQSZOnMiQIUP49ttvUUrxwAMPsH79ep599lnuvffeXPV/++03AO67775822nXrh3fffddtmnDhg0ruRXJ4vLlywQEBPDcc8/xyiuvANC7d2/GjBlDREQEU6dOLZV2S8KJEyf466+/6NWrFw0bNrR2OEIIIcq5XeYTg66Odqw9YJx0PBUZw/h7m/HkHf54OEmCX55Isl+O/ffZ7pl/29vaZHvt7GCb7bWHk33m69jYWLxcHbLNr+3ulO21b3XnbK8b1HDJ9rpxLbdsr5t7u5fQWsHIkSNZvnw5rVu3RmvNtGnTmDp1Ko6Ojvj7++Po6MiBAwcyL6zNKeOMf0HJfll66qmnqFGjRmaiD8aFrJ999hkvvfRSrqEqw8LCaNy4caGW/fbbb/P222+XZLjZLFy4EIDRo0eXWhtCCCEqB1O6Zvz3B0lMMXE9IZVqzva8em8zRkqSX25Jsi/K1OXLl4mOjs5M5JVSvPPOO0RERLBgwQIGDhzI2rVr86yvteb333+nadOm+Pn5lVXY+Tpy5AgbNmzg+++/zzY9JiYGV1dXpkyZkquOr68vBw8eLNTya9euXRJhWpSWlsayZcvw8vLiwQcfLLV2hBBCVFwnI2NZvC2UhzrVZV7QaS7cTKKasx0T7mvGyB7+uEuSX65Jsi/KVHh4OJcvXyYlJQUHB4fM6XPmzGHDhg3s3buX69ev4+XlZbH+oUOHiIyMzPPGWGfPnqVhw4YopUolfkuCgoIA6NmzZ+a0+Ph41q9fz9ixY6lTp06uOvb29rRp06bMYszLunXriIyMZOzYsTg6Olo7HCGEEOVQ8Ikr/G/veVbsDqe6iz0T+zRnZA9/3BwljawI5AJdUabq169PYmIiM2bMyDZ91apVNGjQgMuXLzN06FCSkpIs1s/or2+pL7/WmlmzZpVpog8QFxeHra0tNWvWzJw2c+ZMrl69SvPmzYmKiiI5OTlbnbCwMOzs7Ar1mDZt2i3Fl5qayvHjxwkPD881L6MLj6Wx9YUQQlRNSakmXvnvQVYcS+aJRbt5f/1x3Bxtea1vc/6adA8v9GwiiX4FIu+UKFM+Pj7079+fd955hx07dtCiRQv27t3L+fPn2bNnD0uWLOG1116jbdu2vPfeezzyyCPZ6m/YsAEg11nxhIQExo8fj4+PD+fPn2fcuHG0adOG7t27M23aNJ566ilGjx6N1po5c+bg5eXF6tWrWbBgAYcOHWLMmDGcOnUKOzs7vvrqKwYOHIi3tzedO3dm06ZNeHp6MmLECOLj4/n666+pUaNGZtsdO3bEZDIRGRlJnTp12Lt3L8uXL6d///7s3LmTq1ev8uqrr2aL19fXl5CQkEJts6wHEVl98803hIWFAXD16lVSUlJ47733APDz82PEiBEAXLhwgZYtWxIQEEBwcHBm/YsXL7Jx40a6du1K27Zt840ha1tRUVGkpqZabEsIIUTFlZhiwtnBlpAL0Ww+eYXr8Wl4uUYzqW8LRnT3kwS/gpJ3TZS5ZcuWMWHCBNauXcuePXvo27cvK1eupFatWkycOJG6desyY8YMtm3blpnsx8fHM3fuXDZv3gzA/fffT9u2bbGxsSE6Opq9e/dy48YNDh8+TP369UlPT8fNzQ0fHx969+5NTEwMAOPGjaNx48YMGzaMefPm4erqyu233463tzdnz57F09OTTz75hC5duuDt7c2IESNwd3cnLS2NrVu3EhYWxp133sn48eMz16dv376MHTuWyZMnExAQQEhICNu3b2fnzp089dRTrFixItc2sLe3v+UhQBcuXJi5PTK89dZbAAQEBBSYgC9ZsgSTyVSoC3NvtS0hhBDl24rd4czYcJyW3u7sPHcdLxd7Hm5uzzvDe+IqSX6FJu+eKHOenp4sXLgwswtJTsOHD2f48OHZprm6ujJp0iQmTZpU4PK11uzcuZNHH32U9u3b89prrzF9+nR2797N999/z+rVq3n99deZO3cuLi4uxMbG0rBhQ8LCwti9ezcBAQFcuXKF5ORkGjdujJ2d8TEJDQ1l+fLleHh4ZGtPKcWcOXNyxTFw4ECioqIKuVWKLutZ+vz4+/ujtc41/Y033uCNN94ocluxsbG4u5fc6ExCCCGs42psMva2ihOXY1m5O5zoxFROXollyr9a8li3Buze/pck+pWAvIOi0jl48CBKKQYNGkRKSgp///03nTp1YsqUKXTr1g0PDw8+/vjjbH37a9asyc8//8zo0aM5efIkkZGRrF69mocffjizzJkzZzh8+DAffvihNVZLCCGEKDHRianc/VEQ1ZztuRyTRE03R97s15LHbvfD2UHupF6ZyAW6otIJCgpi2LBhODk5sWvXLjp37szhw4dJSUnBz8+P1q1bk5qamm3oSw8PD27evEnbtm2pXbs2a9asoWvXrtja/vOFFx8fz4cffljmFwALIYQQJSE6IZXf/r7MttNRjFm2l8RUEykmE2/3b8XW13oy+q5GkuhXQnJmX1Q6QUFBjBs3DjAu3L140bi73zPPPMNDDz3EqFGjaNu2Lc8//3xmnbp162aOSNOgQQNGjBiR66ZX7dq1K5sVEEIIIUqY1ppJqw7x69+RaKCOhyNTB7Ti0a4NcLKXBL8yk2RfVDrr1q3L/LtPnz706dMn83VeI+D8+9//zvx74MCBpRecEEIIUUYSU0ws2X4OD2d7Vu2LYH/4TWq6OfByr6Y83Lm+JPlVhCT7QgghhBCVjNaaTUcvM/PXE6RrqFvdmfceaMPQzvVwtJMkvyqRZF8IIYQQopL4397zrDlwgdjkNA5HRONTzYmXezXloU71cLCTSzWrIkn2hRBCCCEqsFRTOjbA78evMOvXE0TGJlPP05kPH2rL4E71sLeVJL8qk2RfCCGEEKKCOnU5lke/3omLgy3nbyTi5+XMzCHteKBjXUnyBSDJvhBCCCFEhWJK11y8mcihiJt8+vsprsWn4GjnxOxH2jOgnS92kuSLLCTZF0IIIYSoIEzpmkHz/uLk5ThSTOk0qe3Gp492oH87X2xt5D4wIjdJ9oUQQgghyrH0dM2vf18mLjmNL4LPcDYqHp9qTkz+Vwv6tZUkX+RPkn0hhBBCiHIq1ZTORxuP8/XWcwC08Hbni8c60ae1NzaS5ItCkGRfCCGEEKIc0Vrz29+RBJ+8wtZTUUTcSKSBlzOT728pSb4oMkn2hRBCCCHKieQ0E//bG8G7Px8lOS2ddnU9+M/A1tzTojZKSZIvik6SfSGEEEIIK9sbep3XVx0hNjmVyJhk2tT1YFzvpvRqUUeSfHFLJNkXQgghhLACrTWxSWn8b18Ec/88xY2EVFr5uDNraHvubFJTknxRIiTZF0IIIYQoY9EJKQyct43ImCSSUtPp3qgGL/Rswh1NakiSL0pUhbzrglJqiFJqlVIqTCmVqJQ6oZT6QCnlXoi6Oo9HhxzlbJRSk5VSoUqpJKXUIaXUQ6W2UqLMTJ06FaVU5sPDwyPba3t7+wKXERwcjFKKWbNmFbtcUlISn3/+Offccw+1atXC3t6e6tWr06VLFyZNmsTx48ctLjMmJoZ3332XTp064e7ujouLC61atWLixIlERkYWbiMIIYSwiqMXo5kXdJqeH28m7FoC9Txd+P7Z7qx4pht3NpWz+aLkVdQz+xOAcOANIALoCEwFeiqlemit0wuovwSYn2PayRyv3zW3MwXYBzwK/E8p1V9rvf6WohdWNXjwYJo0aZL5OjExEWdnZw4fPszMmTMZMGBAqcdw9uxZ+vfvz7FjxwgICOCVV17Bx8eHuLg4Dh48yKJFi5g1axbh4eHUrVs3s97Jkyfp06cPYWFhDB48mKeffhp7e3t27tzJp59+yuLFi1m3bh3du3cv9XUQQghReNGJqYxbeYCgE1cBCGxei5fuacptfp5WjkxUdhU12R+gtb6a5fVmpdR1YCkQCPxZQP0LWuudec1UStXGSPRnaK0zTskGKaWaADMASfYrsHbt2tGuXbvM17Gxsbi7u/Pss88C8PTTT5dq+4mJifTr148zZ86wevVqHnzwwVxlkpKSmD17drYzPAkJCQwYMIALFy6wbt06+vXrlznvmWee4fnnn6d3794MGjSII0eOUKdOnVJdDyGEEAXbcvIKvx+N5McDF4lNTqNpbTfef7ANXRrWsHZoooqokN14ciT6GfaYn+tamFdUfQAHYHmO6cuBtkqphiXQhihHEhISWLlyJXXr1qVv376l2taCBQs4fvw4EydOtJjoAzg5OTF58mR8fX0zpy1cuJCTJ0/yyiuvZEv0M3Tu3Jn333+fq1evMnPmzFKLXwghRMGuxSXz7s9HeWLRHpbtDOeOJjX5+aU72TQ+QBJ9UaYqZLKfhwDz87FClP23UipZKZWglPpTKXVXjvmtgWTgdI7pf5ufW91CnKIc+v7774mJiWHUqFHY2tqWals//PADAKNHjy5WvTFjxuRZ5sknn8Te3p5Vq1YVP0AhhBDFtvnkFQZ/vo07Pwxi0bZzdG9cgx+f78GXI26jTd1q1g5PVEEVtRtPNkqpusA04Het9d4Cii8HfgYuAn7AROBPpdS9Wutgcxkv4KbWWueoez3LfEtxPAM8A1CnTh2Cg4MtFctUrVo1YmNjLc5zDHoHmyt/W5xXEGcNaaVwfU967dYk9/zPLS/nwoULzJ07l4YNG7Ju3ToaNWrE7NmzsbGxzrGnyWTiq6++QinFww8/nOd7klVCQgIAycnJ+Za3VO7IkSN4eHhQs2bNbHVNJhM3b97MVt/FxQVnZ+fMeu7u7tSpUyffNps2bcrRo0e5dOkSbm5uBa5LUZlMpkJtI0uSkpIK/FxUNnFxcVVunW+FbK+ike1VNKW5vW4kpbP+XCp/hKeRruG2OjY81NQZX7ckos8eIvhsqTRbqmT/KrryuM0qfLKvlHID1gJpwKiCymutR2R5uVUptRYIAd4D7sxYLJAz0c+Ynt+yvwK+AujcubMODAzMN5Zjx47h7p7HAEL2DmBbvLcnzZSGXTHr5sveAYe84i2kK1eu8MQTT7B27Vp8fHzo3LkzgYGBPPTQQ/Tr14/Vq1cTGhqKra0ttra2vPjiiyUUfN7279/Pjh076NWrF23bti1UHRcXFwAcHR3zfg/zKBcbG4u3t3eueiEhIbnanzlzJhMmTMi3Xk6ensbFXunp6QWWLY6MaxyKw8nJiY4dO5ZwROVbcHAwBX0XiH/I9ioa2V5FUxrb68iFaP69fB+Xo5MAeKCDL0/f2YjWleAsvuxfRVcet1mFTvaVUk7AT0AjIEBrHVHUZWitY5VSvwBZr8q8DngqpVSOs/ueWeaXrvtnFLtq4i0kY6Xt+eefZ8yYMfj4+ADg7e0NwIkTJ2jWrBkffPABe/YYl18MGjSIbt260blz52zLCAsLo3HjxoVq7+233+btt9/Ot8yyZcuAonerKS4PDw9iYmJyTW/YsCGbNm0C4NChQ5lJfkH1csooU61axf9HI4QQ5dWJS7Es3n6OH/adJy0dujXyYuaQ9tT3crF2aEJkU2GTfaWUPbAK6Ar01lofuZXFkf1M/t+AI9CY7P32M/rqH72FtqqsI0eOsGHDBpYsWZI5LTQ0FIAGDRqwbNky7rzzzsx5vXr14quvvsqV7Pv6+nLw4MFCtVm7du1856elpbFixQq8vLzyvFi2pLVp04YtW7Zw7tw5Gjb851pvV1dXevfuDYCdXe6PZka906dPZxs6NKuEhAROnDiBv79/qXThEUKIqu7M1Tie+2Yfp67EYW+reOx2P565uxF1PSXJF+VThUz2lVI2wLdAL6BffsNoFmJZHkA/YFeWyRuBFOAxIGsn9ceBEK31ueK2V5UtXbqUgICAbEnohg0b8PLyom/fvixfvpy77vrnWun69euzYsWKXMuxt7enTZs2JRLTunXruHLlCmPHjsXR0bFEllmQIUOGsGXLFhYsWMD06dMLXW/w4MGZ9WbMsPzLz7Jly0hJSWHw4MElFa4QQgjg178vs+7QRdYfuYStjaJjg+p89mhH6smZfFHOVdTReOYBQ4FZQLxSqluWRz0ApZSfUipNKZXZh0MpNUEp9bVSarhSKlApNRLYBngDb2aU01pfAWYDk5VS481lvwDuwbiRlyiG9evXZ565BoiKimLRokXMmTMHNzc34uPjsx0IuLu7c/Vq7lFWw8LCsLOzK9Rj2rRp+ca0cOFCoPTH1s9q9OjRtGjRgpkzZ/Ljjz9aLJP72nCjXpMmTZg9ezYbN27MNX///v1MnjyZWrVqMXHixBKPWwghqqK/L0Yz/OudPPvNPn77+zJj7m7Ejsm9+PH5OyTRFxVChTyzD9xvfp5ifmT1H4y76SrAluwHNCeAB82PakAMRrL/tNZ6d47lTAHigLEYBwMngIe11utKbC2qkMuXL3Ps2DF69OgBGKOyDBs2jDfffJMRI4xrpr28vIiPj8+sEx8fT40aucci9vX1JSQkpFDt1qxZM895Fy9eZOPGjdx2222FvjA3pz/++IOkpCSL7T733HMW6zg7O/PLL7/Qv39/Bg8eTGBgIPfddx/e3t7ExMRw/Phx/vvf/2Jra0v9+vUz67m6uvLTTz/Rt29f+vXrx0MPPURgYCB2dnbs3r2bb775Bjc3N9asWZN5LYQQQojiWXvgAou2neNQRDRuDrYENKvFtIGt8avpau3QhCiSCpnsa639C1EmlByj55gT9UIl61prE8YIPe8VPUKRU1BQEC4uLvz2228cOXKEkJAQpkyZku2K9Q4dOnDhwoXM1xEREbRv3z7Xsuzt7WnRosUtx7RkyRJMJhMjR44s9jI2btxo8Sx78+bN80z2ARo1asS+fftYtGgRP/zwAx9//DHR0dG4urrSpEkTRo8ezdNPP03z5s2z1WvZsiWHDx/m008/ZfXq1axfvx6TyYSfnx8vvfQSEyZMkERfCCFuwd7Q6/zfn6fZcvIqNgpe6d2UJ+9oSDVne2uHJkSxVMhkX1Q8GUNR5TcyztChQxk+fHjm6z///JPx48eXWkxvvPEGb7zxRrHGjA8MDLTY1aYo5ZydnXnhhRd44YUXitR2tWrVCjXKkBBCiMLRWrP6wAU+WH+MqLgUarg6MObuhjzZoyF1qztbOzwhbokk+6JMBAUF8cQTT+RbpkmTJrz88st89NFHuLi40Lt3b+64444yilAIIURVo7Um6MQVPg86w96wGyjg8dsb8Ea/lrg4SIokKgfZk0WpO3/+PKdOnco2rGZeHn/88TKISAghRFWmtea3o5FM+uEwNxNT8a3mxLRBrRnQzhdPVwdrhydEiZJkX5S6hQsX4ufnx913323tUIQQQlRh6Vrz3a4wvtkZzrFLMbg52tGndR0+G9YJB7uKOkChEPmTZF+UuqlTpzJ16lRrhyGEEKKKSjOl8/PhS7wTlEB0Sgj1vZz5eGh7BnXwxc5WknxRuUmyL4QQQohKKdWUztw/T/PDvvNcuJmEjwv0aObN+w+2le46osqQZF8IIYQQlUpSqon/7Yvg86DTXIpOorqzPV8+fhsOV49xT8/brB2eEGVKkn0hhBBCVAqJKSY+3nSCFbvDiU820bFBdZ7o5sfwbg2o5uxAcPBxa4coRJmTZF8IIYQQFVpcchrf7AhjwdazXItPwdZGMW94R/7V1gelVMELEKISk2RfCCGEEBVSdEIqc4NOsXhbKGnpmrub1WLMnQ3p0KA67k5yx1shQJJ9IYQQQlQw1+KS+Tz4NP/dE0FcchruTnaMvrMhY3s3s3ZoQpQ7kuwLIYQQokKIjEni6y1nWbw9FFO65l9tvXmxZ1Na+rhLdx0h8iDJvhBCCCHKtYgbCby77ih/nrhCuobOfp60r1+NCfe1kJthCVEASfaFEEIIUS6di4rni+DTrNoXgUnD7Q09+WhIe/xquFo7NCEqDEn2hRBCCFGunIyM5Z2f/mbnmWs42NnweDc/GtRwYXhXP5wdbK0dnhAViiT7QgghhCgXQi5EM/fP02z8+zI2Cmq4OfDLy3dSx8PZ2qEJUWFJsi+EEEIIq9oXdp3pvxxjf/hN3BxtefmeJvRr64N/LVcc7eRMvhC3Qq5qEZXalStXmDx5Mj/++CNjxoxhyZIlDBkyxNphlYgPPviAoUOH0qhRI5RS+Pv7F6l+XFwc77//Pm3btsXd3Z2aNWvSo0cPlixZgtY6W9mTJ0/y9ttv061bNxo2bIi7uzsdOnRg+vTpxMfHl+BaCSGqCq01205d5eEvd/DQFzs4dSWOas72LBjZhfH3Nae5j4ck+kKUADmzLyqc7du3M3fuXFasWIGrqytTp05l5MiR1KpVK1s5k8lE//79Wbx4Ma1bt2br1q1MnjyZjRs3WinykvXGG2/g5eVFp06duHnzZpHqpqenc//997N9+3ZGjhzJSy+9REJCAitWrGDUqFEcO3aMDz/8MLP8okWLmDdvHgMHDuShhx7C3d2doKAg3nzzTb7//nt27tyJs7P8zC6EKJjWmqATV/i/P05x8Hw0zva2vNmvJcNvb4CjnS22NjKEphAlSZJ9UeH06NGD8PBwVqxYwbhx45gwYYLFcsuXL8fHx4fWrVsD4OjoSLdu3Wjfvn1Zhltqzpw5Q6NGjQBo06YNcXFxha67a9cu/vrrL8aNG8fs2bMzpz///PO0aNGC+fPnZ0v2hwwZwuTJk6lWrRqxsbG4u7vz3HPP0bRpU6ZPn87ChQt58cUXS27lhBCVTnq6Zv2RS3z820nOXYunbnVnApvXYkA7Xx66rZ61wxOi0pJkX1RIe/bsAWDAgAF5ltm6dSs9evQAjDNJv/zyC/Pnzy+T+MpCRqJfHDExMQD4+vpmm+7g4EDNmjVJTk7ONr1z584Wl/PII48wffp0QkJCih2LEKJySzOl89Ohi3wefIbTV4yTEpPvb8FTdzbE3lZ6EwtR2iTZFxXSb7/9hqenJ126dMmzjKOjI05OTgAsXbqUyMhITCYThw8fpl27dmUVarnUtWtXqlevzkcffYS/vz+33347iYmJLFmyhH379vHll18WajkREREA1KlTpzTDFUJUQMlpJr7fE8Hs309yPT6FFt7uvDuoDdWc7enfzgcb6a4jRJmQQ+rybHE/OPCt8bcp1Xh96L/G65QE43XIKuN1UrTx+uhPxuv4a8brExuM17GRxutTvxuvoyOM12eCjNfXzxmvQ/8yXkedMl6H7zJeRx4t0VWLjY1lyZIlzJo1i61bt2abp7Xm559/ZtOmTRbrXrp0iZCQEHr16oWNTd678LPPPsuuXbtYs2YN0dHRzJkzhylTptCiRYsSXZcMiYmJTJ48mRkzZjB9+nRGjRpFamoqjRs35sknnyyVNovL09OTn376CS8vLx5++GH8/Pxo0aIF8+bNY9WqVYwZM6bAZZhMJqZNm4adnR3Dhw8vg6iFEBVBYoqJRX+dI+CjYN5aG8LNhBT6tK7D+pfvYkR3PwZ28JVEX4gyVCpn9pVSAcAdgC+ggUvANq315tJoT1Qshw8fZuTIkXTu3JmDBw8yceJEhgwZwrfffotSigceeID169fz7LPPcu+99+aq/9tvvwFw33335dtOu3bt+O6777JNGzZsWMmtSBaXL18mICCA5557jldeeQWA3r17M2bMGCIiIpg6dWqptHsr3NzcaNOmDQMHDqRHjx5cv36defPmMXz4cNauXWtx22c1btw4du7cyfvvv0/z5s3LKGohRHkVm5TKNzvD+DzoNHHJJro29GLm0Hb4VnOiUS03lJIEXwhrKNFk35zkfwFk/OfP+GRr8/zjwPOS9BfSqF/++dvWPvtrB5fsr52q/fM6NhZca2Sf714n++tq9bK/9mqY/XXNptlf12l1a+uSxciRI1m+fDmtW7dGa820adOYOnUqjo6O+Pv74+joyIEDBzIvrM0p44x/Qcl+WXrqqaeoUaNGZqIP0KpVKz777DNeeumlXMNihoWF0bhx40It++233+btt98uyXA5cuQIPXr0YPbs2Tz33HOZ04cNG0abNm0YM2YMZ86cwdbW8rB3b731FnPnzuWZZ55h8uTJJRqbEKJiuRGfwtdbzvDNzjBik000rOlK3eo2LH6yC66O0ltYCGsrsU+hUuohYIV5mReBYOA8RsJfDwgEWgKblFKPaq1Xl1TbouK4fPky0dHRmYm8Uop33nmHiIgIFixYwMCBA1m7dm2e9bXW/P777zRt2hQ/P7+yCjtfR44cYcOGDXz//ffZpsfExODq6sqUKVNy1fH19eXgwYOFWn7t2rVLIsxsZs+eTVJSEkOHDs023cXFhX79+jF37lxCQ0MtHpC8//77zJgxg1GjRhW6b78QovK5EpvEgq3nWLY9lKS0dDo1qM7Uga1p7VsNG4WcyReinCiRZF8p5QssBdKAl4AFWmtTjjI2wNPAHGCZUmqn1vpiSbQvKo7w8HAuX75MSkoKDg4OmdPnzJnDhg0b2Lt3L9evX8fLy8ti/UOHDhEZGZnnjbHOnj1Lw4YNy/SfTFCQcd1Dz549M6fFx8ezfv16xo4da/HiVXt7e9q0aVNmMeZ04cIFwOh3n1NaWlq256z+85//MGPGDJ544gkWLFgg/8yFqIIibiTw2R+nWXUggvR0Tf+2PsSnmBjXuxlt61WzdnhCiBxK6gLdcYAL8JjWen7ORB9Aa52utf4aeMxcdmwJtS0qkPr165OYmMiMGTOyTV+1ahUNGjTg8uXLDB06lKSkJIv1M/rrW+pPrrVm1qxZZZ6AxsXFYWtrS82aNTOnzZw5k6tXr9K8eXOioqJyDWUZFhaGnZ1doR7Tpk27pfhSU1M5fvw44eHhmdNatTK6ZS1ZsiRb2Zs3b7J27Vo8PT1zndXP6G716KOPsnjx4nwvjhZCVD5nrsYx4X+HCJwZzPd7z+PqYMsf4wP4v+GdWPhkF0n0hSinSqobT19gl9b6x4IKaq3XKKV2AfcDk0qofVFB+Pj40L9/f9555x127NhBixYt2Lt3L+fPn2fPnj0sWbKE1157jbZt2/Lee+/xyCOPZKu/YYMxulDOs+IJCQmMHz8eHx8fzp8/z7hx42jTpg3du3dn2rRpPPXUU4wePRqtNXPmzMHLy4vVq1ezYMECDh06xJgxYzh16hR2dnZ89dVXDBw4EG9vbzp37symTZvw9PRkxIgRxMfH8/XXX1OjRo3Mtjt27IjJZCIyMpI6deqwd+9eli9fTv/+/dm5cydXr17l1VdfzRavr69vocemz3oQkdU333xDWFgYAFevXiUlJYX33nsPAD8/P0aMGAEYZ/FbtmxJQEAAwcHBgHFx7bJly3j99dc5cuQId9xxB9evX+frr7/m0qVLzJs3Dzu7f74e5s2bxzvvvEODBg0IDAzMdeFznTp1CrygVwhRMR29GMMnv5/g96NXcLRTPN7Njy7+njTwcqVhLTdrhyeEKEBJJft+wIIilN8OFDy2n6iUli1bxoQJE1i7di179uyhb9++rFy5klq1ajFx4kTq1q3LjBkz2LZtW2ayHx8fz9y5c9m82bi2+/7776dt27bY2NgQHR3N3r17uXHjBocPH6Z+/fqkp6fj5uaGj48PvXv3zryJ1Lhx42jcuDHDhg1j3rx5uLq6cvvtt+Pt7c3Zs2fx9PTkk08+oUuXLnh7ezNixAjc3d1JS0tj69athIWFceeddzJ+/PjM9enbty9jx45l8uTJBAQEEBISwvbt29m5cydPPfUUK1asyLUN7O3tb3kI0IULF2ZujwxvvfUWAAEBAZnJviV+fn7s3r2badOm8ccff7By5UqcnZ3p0KEDH3/8MYMHD85WPuMmZuHh4dku6M0QEBAgyb4Qlcy+sBvMCzrNn8ev4GRn/JI3+5GO/Kutj5UjE0IURUkl+/ZAShHKpwKWh/kQlZ6npycLFy5k4cKFFucPHz4817jtrq6uTJo0iUmTCv4xSGvNzp07efTRR2nfvj2vvfYa06dPZ/fu3Xz//fesXr2a119/nblz5+Li4kJsbCwNGzYkLCyM3bt3ExAQwJUrV0hOTqZx48aZZ7hDQ0NZvnw5Hh4e2dpTSjFnzpxccQwcOJCoqKhCbpWiyzhLXxB/f3+01rmmN27cmKVLlxZqGUuWLMns8hMbG4u7u3thwxRCVCBaa7afucZnf5xi57nrONvbMP7eZjzRzY+bian413S1dohCiCIqqU63l4C2RSjfGrhcQm0Lkc3BgwdRSjFo0CBSUlL4+++/6dSpEz/++CPdunXDw8ODjz/+mK5du2bWqVmzJj///DPt27enTp06REZGsnr1au6///7MMmfOnOHw4cMMGDDAGqslhBClRmvN70cjGTh3G48t2MXZqHia1HLlsdv9eLlXU6q7OkiiL0QFVVJn9rcAw5VSLbTWx/MrqJRqCfQBvi2htoXIJigoiGHDhuHk5MTWrVvp3Lkzhw8fJiUlBT8/P1q3bk1KSgpHjx6lQ4cOAHh4eHD+/Hnatm3L5s2bWbNmDTNnzsw2znx8fDwffvihjEAjhKg0TOmaX45c4vOg0xy/HIuNgjf7teTxbn442NrInW6FqARKKtmfC4wEflZKDdRaH7VUyJzor8PowjOvhNoWIpugoCDGjRsHGBfuXrxojPD6zDPP8NBDDzFq1Cjatm3L888/n1mnbt26PP300wA0aNCAESNG5BqNpl27dmWzAkIIUcpS0tL58UAEn/5+iovRSTSp7caE+5oRFZfCkNvq4WQvPW2FqCxKJNnXWu9TSs0EJgL7lVKrgT8wbqqlgQZAb+BBwAH4WGu9tyTaFiKndevWZf7dp08f+vTpk/k6rxFw/v3vf2f+PXDgwNILTgghrCgxxcTKPeF8teUsl6KNIY7vbVmb+SM6y1l8ISqpEruDrtZ6klIqHngTeBR4JEcRBZiAd4GpJdWuEEIIIfIXk5TKNzvCmL/5DDFJaXT192LGQ+1ITEmje6OakugLUYmVWLIPoLWeppRaCjwF3AH4YCT5l4C/gCVa63Ml2aYQQgghLLsWl8zibaEs3RFKbFIadas7Y2ujWPpUV5wdpKuOEFVBiSb7AFrrMOCdkl5uVkqpIcAwoDNQGwgHVgPva61j86nXGXgGuBuja1EUsBV4M+dBiFIqFOP+ATk9qLVec+trIYQQQpSOS9GJfLXlLN/uCiMlTXNnkxq8fn9L6nu54GBrI4m+EFVIiSf7ZWQCRoL/BhABdMToGtRTKdVDa52eR71HMYb9/D/gb6Au8BawVynVQWt9Pkf5X8nd5ehESayAEEIIUdLORcXzZfBpVu2PQKP4Vxsf/r4YzbMBjWlTt5q1wxNCWEGJJftKqX8D1YCPMpJtpdRYYKyF4pu11qNuobkBWuurWZenlLoOLAUCgT/zqPdhjnoopbYB5zDu6Pt2jvJRWuudtxCnEEIIUeqOXYrh8+Az/HL4Ihrw9nDi+2e7U9/LBa21DBksRBVWIsm+UqoTxvCbH+Q4q14d8LdQxU8p9anW+mBx2suZsJvtMT/XLUo9rXWYUupqfvWEEEKI8uj0DRNLF+0m6ORVXOxtGHN3I+pWd8bTxYF6ns4AkugLUcWV1Jn9YUAKMMfCPA3YY1yoC+CJMSTn48DBEmofIMD8fKwolcxj/9fOo94ApVQCxn0BDgAzpL++EEIIa9Ja89fpKOYFnWbn2SRcHFIBmDf8Nnq2rG3l6IQQ5Y3SWt/6QpTaCSRore/JMf0d4G2ttW2O6euA2lrr22+5cWN5dTGS8UNa63uLUM8O434ALYHmWusbWeZ9hvFrwTmgDvAixgHFCK318jyW9wzGBcDUqVPntpUrV+bbfrVq1WjSpElhwy00k8mU7c6vIn+yvYrmVrbX6dOniY6OLuGIyre4uDjc3NysHUaFIdsrb+lac+CKiXWnUwiN1bjYQd/6mnsauhAeq2npZSNn8Qsg+1fRyPYqOmtts549e+7TWne2NK+kzuw3Bb6xMF3xzxn9rEKB7iXRsFLKDVgLpAFFvQ5gLtAD6Jc10QfQWr+Uo50fgZ3AB4DFZF9r/RXwFUDnzp11YGBgvo0fO3YMd3f3IoZcsNjY2FJZbmUl26tobmV7OTk50bFjxxKOqHwLDg6moO8C8Q/ZXrmlmtJZd+ginwed5vTVZOp7OlPHI537WtWhV/Vrsr2KQPavopHtVXTlcZuVVLLvDlga8nIxEGRh+k1znVuilHICfgIaAQFa64gi1P0A4yz8SK31bwWV11qblFL/Az5USvlorS8VN24hhBCiIEmpJv639zzzt5wl4kYiDrY2fDy0HYM61CUpLR03RzuCg4OtHaYQopwrqWQ/FvDKOdE85n6YhfJeQPytNKiUsgdWAV2B3lrrI0WoOwV4HXhZa23pF4k8q5qfb73vkxBCCGFBbFIq3+4KZ/7ms9xISKFjg+oM6VSPc9fiuadFHexsbXCztbF2mEKInNKSrR2BRSWV7IdiJN2F1dVcp1iUUjbAt0AvjC44hR4eUyn1MvAeMEVr/VkR6tkBQ4FwrfXlIoYshBBC5OtaXDJLtoeydHsoMUlpKOCx2xvw3gNtpC++EOVVxF7waQ+29pBwHUrgWtiSVlLJ/mZgrFKqW0GJt1KqO3AbMPsW2puHkXhPB+KVUt2yzIvQWkcopfyAM8A0rfU0c9uPYowYtBH4M0e9GK31UXO5YcAgYD3GyEF1gBfMcQ+7hbiFEEKIbC7eTOTrrf/c7bZva2+e79mYg+dvcm+rOpLoC1FehW6DJf+CPu9DzEXY/w3VWk4Celo7smxK6nfALzC6tqxQSrXIq5BSqjnwHWACvryF9u43P08BduR4jM5oDmPIzKzr2Nc8va+Fep9nKXcOYzjOmcBvwHwgGeirtc5/iB1RIURGRvLcc89Rv359atSoQYMGDRg7diw3b94sVP3g4GCUUsyaNavY5ZKSkvj888+55557qFWrFvb29lSvXp0uXbowadIkjh8/bnGZMTExvPvuu3Tq1Al3d3dcXFxo1aoVEydOJDIyslDxCyGs7+zVOF774RABM4P4ZkcYtdycqOXuyNzhHWlXrzpPdPfHp5qztcMUQmRIT4ftn8GBb40z+GmJUKct/PoG7PoSmvYm1b78DfhRImf2tdanlFLvAu8AB8wXsgYBFzAOAupidLkZAjgCU7XWp26hPf9ClAklx0hAWusngScLUXcncE9B5UTFdOXKFW6//XYuXrzIs88+S5MmTTh9+jRffPEFW7ZsYdu2bbi4uJRqDGfPnqV///4cO3aMgIAAXnnlFXx8fIiLi+PgwYMsWrSIWbNmER4eTt26/9zv7eTJk/Tp04ewsDAGDx7M008/jb29PTt37uTTTz9l8eLFrFu3ju7dS2SwKyFEKQi5EM0XwWf45cgllIKHOtZl3L3NsLVRuDjYYSf98YUoX5JiwMkDbGzg2M+QngrbPoWoE+BSE+5+DTo/BR4+JJTDi+ZLqhsPWuv/mH9qnIJxw6zHchRRGMNjTs3oViOENbz//vuEhYXx3XffMWzYsMyhJHv06MHw4cP55JNPePPNN0ut/cTERPr168eZM2dYvXo1Dz74YK4ySUlJzJ49O9vP9wkJCQwYMIALFy6wbt06+vXrlznvmWee4fnnn6d3794MGjSII0eOUKdOnVJbByFE0Wit2XXuOvOCTrP1VBTujnY8dnsD/jx+hSGd61PPs3RPMAghimn7XNgyE0aug0MrIPIopMSATwd4cD60fhDsHK0dZb5KLNmHzIR/GfAUxvj13hhJ/iVgG7BEa322JNsUoqiCgoJwdnbm0UcfzTb9kUce4amnnmLx4sWlmuwvWLCA48eP88Ybb1hM9MEYj37y5MnZpi1cuJCTJ0/y2muvZUv0M3Tu3Jn333+fF154gZkzZxbYxUgIUfq01vx5/Arzgk6zP/wmdjaK1r4erHimGx5O9qSna2xspE++EOVGWgr8/SM0vAvcvMHWDpy9YP5dYGMHrR6A25+Fel2gglxPU6LJPoDW+hzwVkkvV4iSkpycjJOTU66L3mxsbHB2dubs2bNERUVRs2bNUmn/hx9+AGD06NEFlLRcb8yYMXmWefLJJxk3bhyrVq2SZF8IK0ozpfPLkUvMCzrNycg46lZ3Ztqg1sQnp1HP0wUPJ3sASfSFKG9iLsCa56BZX4g6BddOgWttCHgdOo8Cd29rR1hkJZ7si5Lx4e4POX7d8gWaBTGZTNja2pZwRNDCqwWTuk665eVERETwySef0LhxY1avXk2TJk344osvsLEpm36qrVu35sSJExw8eJAOHTpkTj948CA3bhg3Ug4PDy+1ZD8kJAQPDw8aNmyYbbrJZMpsP4OrqyvOzs6Z9dzd3WnSpEmey3ZxcaF58+aEhITIbc6FsIKkVBM/7Ivgqy1nCb+eQA1XBwAWPdmZ5t4eVo5OCGHRr1MgLQlu/zfs/gpsneDEeqjbGQZ/bZzNt3OwdpTFJsm+KFNXrlxh8ODBrF27Fh8fH9q0aUNgYCADBw6kX79+rF69mtDQUGxtbbG1teXFF18s8RjGjRvHmjVrePjhh5kzZw7+/v6EhYUxbtw47O3tSU1NJSEhocTbzRATE4O3d+4zA8eOHaNt27bZps2cOZMJEybkWy+natWqARAdHS3JvhBlJONGWAu2niUqLoUmtd34asRtdPH34uilGJrVKX8jdAhRZWkNF/dD3duMEXZuhMLFA7BnAdjYQ5uH4PZnjPmVQIkk+0opUzGqaa21HGzk4VbOoGdccFoePf/884wZMwYfHx+AzOT1xIkTNGvWjA8++IA9e/YAMGjQILp160bnzp2zLSMsLIzGjRsXqr23336bt99+O9u0u+66i5UrV/Lyyy9n9n23tbVl9OjRtG7dmh9//BEPj9I7A+fh4UFMTEyu6Q0bNmTTpk0AHDp0KDPJL6heThllMpJ+IUTpiYpLZsm2UJZuP0dssokejWuQZophQDsf7mttfL/d0aR0fiUUQhTT7q9hw0S4Yywc/QlunAN3H+g5BW57EtxqWzvCElVSyXZxOh1KR8Uq5siRI2zYsIElS5ZkTgsNDQWgQYMGLFu2jDvvvDNzXq9evfjqq69yJfu+vr4cPHiwUG3Wrm35Azt06FAGDx7MkSNHiIyMpGPHjtSuXZuuXbtiZ2eXb1eZW9WmTRu2bNnCuXPnsnXlcXV1pXfv3gDY2eX+aGbUO336dJ7xJSQkcOLECfz9/eWsvhClKOJGAl9vOct/954nKTWd6i72rH3hdtrX9yQ6MZVqzvbWDlEIkSEpxhgqs0lvcK5unMW3dTCm1e8Gvd6ClgONu+BWQiU1zr4MCiwKtHTpUgICArIloRs2bMDLy4u+ffuyfPly7rrrrsx59evXZ8WKFbmWY29vT5s2bW45HltbWzp06JD5S8jly5c5cOAAAQEBpTrO/pAhQ9iyZQsLFixg+vTpha43ePDgzHozZsywWGbZsmWkpKQwePDgkgpXCJHFychYvgw+w5qDF1DA4E71aFjTlYibiZl98iXRF6KcyBgfX9nAnq/hyA9wMxTsnKDdw9D1GfBpb+0oS51VutEopZwAB611wX0SRKWxfv36bCPQREVFsWjRIubNm4ebmxvx8fHZDgTc3d25evVqruXcajceS9LT03n55ZcxmUxMmTKlUMsurtGjR/P5558zc+ZMOnfubHH4Ta21xXpz585l9uzZBAYG0rdv32zz9+/fz+TJk6lVqxYTJ04stfiFqIoOhN/g8+AzbDoaiYOtDeka/jOwNSN7+Fs7NCGEJT/+GyJDjItr9y2GpGhw9IDeU6HTSHDxsnaEZcZafea/AEZYsX1Rxi5fvsyxY8fo0aMHYNw0atiwYbz55puMGDECAC8vL+Lj4zPrxMfHU6NGjVzL8vX1JSQkpFDtWhpRJy4ujq5du/Lggw/SsGFDrly5wurVq9m3bx/Tp0+nZ8+ehV6vP/74g6SkJIvtPvfccxbrODs788svv9C/f38GDx5MYGAg9913H97e3sTExHD8+HH++9//YmtrS/369TPrubq68tNPP9G3b1/69evHQw89RGBgIHZ2duzevZtvvvkGNzc31qxZU6gLeYUQ+dNas/VUFPOCTrHr3A1cHGx5+Z4mPNHDn3WHLjKog6+1QxRCZEi8CUf+B7eNMpL8m+EQ+TdcPgwN74a+H0Cz+41x86sYa66x9NmvQoKCgnBxceG3337jyJEjhISEMGXKFAIDAzPLdOjQgQsXLmS+joiIoH373D+v2dvb06JFi2LH4uDgQLt27fjuu++4dOkSzs7OdO3alY0bN9KnT58iLWvjxo1s3Lgx1/TmzZvnmewDNGrUiH379rFo0SJ++OEHPv74Y6Kjo3F1daVJkyaMHj2ap59+mubNm2er17JlSw4fPsynn37K6tWrWb9+PSaTCT8/P1566SUmTJggib4Qt8iUrtkYcpkvNp8m5EIMtd0dqOfpTE03R8bfZ3wmR93RsIClCCHKhNbGza3Obob1E4wRda4eB3sXuG2k0VWndktrR2lVVe/wRlhFcHAwgYGB+XapGTp0KMOHD898/eeffzJ+/PgSj8XBwYGVK1dmvi7O6EWBgYEWu9oUpZyzszMvvPACL7zwQpHarlatWqG7JwkhCi85zcSP+y8wf8tZzkXF42hnw7RBrXikSwOi4lKo6VZxx9kWotJJSYAfRhl3sk1Pgz0LjelpydDnfejwmHExrpBkX5SNoKAgnnjiiXzLNGnShJdffpmPPvoIFxcXevfuzR133FFGEQohqqq45DS+2xXG11vOcjUuhbZ1qzHhvuasP3KJO5rUwtHOlrrVna0dphAiNRGuHAXfTnD5CFw6DKd+A50OTe6F25+Fxr2gjG7SWVFIsi9K3fnz5zl16lS2YTXz8vjjj5dBREIIAdfiklmyPZSl20OJSUrD3lYxsL0vnz7aAaUUL/RsjFLS41SIcuOnF+H4evBqZPTLd6xm3PW2y9NQo3ADd1RFkuyLUrdw4UL8/Py4++67rR2KEEJw/noCC7aeZeWecJLTNH1be/NcYGN2nb1Gl4ZemQm+JPpCWNm1MxA8w0joj62Bk79CagKkm6DfJ9DuEXCUe8oURJJ9UeqmTp3K1KlTrR2GEKKKO3E5li83n+GnQxdRgF8NFy7cSGTm0Ha4O9nToX51a4cohDClQkocOFWH8O3w92o48j0oW2jZ37jg1u8O46JcUSglkuwrpUwlsRwhhBCipO0Lu87nQWf44/gVbG0UD3Tw5dX7mmOjFClp6bg7yU2whCgXTGnw2W3g7g0J1+HaKXCuAZ1HGY9q9awdYYVUUmf2i3N4VfBQJkIIIUQxaK0JOnGFz4NOszfsJp4u9jx7dyNW7Y+gd8s6+MoFt0KUD5FHIXQrNAww7nIbewluhkHdzvDgV9D6AbBztHaUFVqJJPtaa7nsWQghhNWlmdL5+fAlvtx8huOXY3G0s6F5HTd+fOEOXBzsmNCnOfa28i9LCKtKN4GyMZ63fARH1xoj6tg6Qpsh0HU01L3N2lFWGtJnXwghRIWXmGLif/vOM3/zGS7cTKJJLVc+Htqe2ORU7GxscLa3BZBEXwhri/wbvnsEmvSCU79DTAS4+xoJfqeR4FrT2hFWOpLsCyGEqLBuJqTwzY4wFm8P5Xp8Cg28jO45Hw1pTyc/TytHJ4QAIOqUcdFtejrs/ByiI2DfEqPrzv0fQrO+YCspaWmRLSuEEKLCuRSdyMKt5/h2VxiJqem0q+vBF491om3dauw6d52ODapbO0QhBEBKIiy+37ghVkocOLhB1zHQZTTUam7t6KoESfaFEEJUGKevxDJ/81l+PBCBRtGvrTd7Q2/Qo0ktbm9UA4CeLWpbOUohqrjjv8COz6FuJziwHBKvg1dj6DbVGBvfycPaEVYpkuwLIYQo9/aH3+DL4DP8djQSOxuFq6M9a1+4A/+arsQnp+HqKP/OhLCq6+fApSZE7IbNM+HSAQjbZoyN32UMNLxbxsa3Evl2FEIIUS5prQk+eZUvg8+w69x1PJzsePmeJvjXdOVwRDS13I3h+CTRF8LKzu+BhfeCSw1IiDLGxr/rVej8lIyNXw7IN6QQQohyJefwmTXdHAAY17sZT93ZEIDBnSSBEMKq9i01RtKJuwKH/gtoqFYX+n4ArQbJ2PjliCT7QgghyoXEFBObwlKZsjOYCzcTqe3uyKyh7RnQzof1IZe4r5W3tUMUompLvAn2LnB8HWx6B5JugJ3TP2Pj+3a0doTCAkn2hRBCWNWN+BSW7ghlybZz3ExM4zY/T2q4OeBsb8tDneqilOLBjnImXwir2jobgqaDc3WIvwrV6sOd46DTE+DiZe3oRD5KJdlXSgUAE4GugCdg6S4mWmstBxuiVF25coXZs2fTtWtX1q9fzx133MHPP//MDz/8YO3QbtkHH3zA/v372bdvH+fOncPPz4/Q0NBC14+Li+P//u//WLFiBaGhoTg6OtKsWTOeeeYZRo4cicpxIVVG+W+//Zbw8PACywtRkAs3E1mw9Swrd58nMdWEk50NYzs58srDPYhOSMXdyU72KyGsJTURn4u/wuErxug6x9aBNkHtVtD9RWjSG2zkJnUVQYkn20qpfsAawBYIB04AaSXdjqi6tm/fzty5c1mxYgWurq5MnTqVkSNHUqtWrWzlTCYT/fv3Z/HixbRu3ZqtW7cyefJkNm7caKXIS9Ybb7yBl5cXnTp14ubNm0Wqm56ezv3338/27dsZOXIkL730EgkJCaxYsYJRo0Zx7NgxPvzwQ4vlhw8fztixY/MtL0R+jl+OYf7ms6w9eAEFDOpQl/vb+vDfPeHUdYsFoJqLvXWDFKKqSk+H1HjY/TXNTn4OJwGn6tDt39DlafBqZO0IRRGVxpn1qUAq0E9r/VspLF9UcT169CA8PJwVK1Ywbtw4JkyYYLHc8uXL8fHxoXXr1gA4OjrSrVs32rdvX5bhlpozZ87QqJHxpdumTRvi4uIKXXfXrl389ddfjBs3jtmzZ2dOf/7552nRogXz58/PlrxnLT9t2jTc3d3zLS9ETlprdp+7zpebzxB04ipOdjbYKMWA9r588kgHAO5tVYfg4GCrxilElfbfJ+DyYYiPgpRY4l3q49Z7ErQdAvbO1o5OFFNpJPttgJWS6IvStGfPHgAGDBiQZ5mtW7fSo0cPwEg0fvnlF+bPn18m8ZWFjES/OGJiYgDw9fXNNt3BwYGaNWuSnJx8S+WFyJCertl0LJIvN5/hQPhNnO1tGX9vM0Z082PbmSg6NfC0dohCVF0p8XBiI9jYwp4FELoVlA20GQq3P8PeU7EEdupp7SjFLSqNZD8OuF4KyxUi02+//YanpyddunTJs4yjoyNOTk4ALF26lMjISEwmE4cPH6Zdu3ZlFWq51LVrV6pXr85HH32Ev78/t99+O4mJiSxZsoR9+/bx5Zdf5lm+Tp06BAYG5lteiOQ0E2sOXODLzWc4F5VAPU9n7mpak2OXYnnqzoa4OdrRv51vwQsSQpSO2Muw9iU4bT43W60+9HobOo0E15rGtNPBVgtPlJzSuLLiD6B7KSy3yhm1cRRrTq8BIDU9lVEbR7HuzDoAEtMSGbVxFBvPGf3PY1NiGbVxFL+H/Q7AjaQbjNo4iuDzwQBEJUYxauMo/rrwFwCX4y8zauModlzcAcD52POM2jiKPZeNM+bnos8xauMoDl45CMCpG6dKdN1iY2NZsmQJs2bNYuvWrdnmaa35+eef2bRpk8W6ly5dIiQkhF69emGTz8VBzz77LLt27WLNmjVER0czZ84cpkyZQosWLUp0XTIkJiYyefJkZsyYwfTp0xk1ahSpqak0btyYJ598slTaLC5PT09++uknvLy8ePjhh/Hz86NFixbMmzePVatWMWbMmDzLjxw5ssDyouqKTUpl/uYz3P1REJNWHeHCjSTG39uM4AmBfP5YJ/6a1BM3uQmWENYRdxUW9oGF98Hs1kai73sbPPIdjD1k3AgrI9EXlUZpfONOAnYrpd4EpmutdSm0ISqww4cPM3LkSDp37szBgweZOHEiQ4YM4dtvv0UpxQMPPMD69et59tlnuffee3PV/+034yzEfffdl2877dq147vvvss2bdiwYSW3IllcvnyZgIAAnnvuOV555RUAevfuzZgxY4iIiGDq1Kml0u6tcHNzo02bNgwcOJAePXpw/fp15s2bx/Dhw1m7dm2ubZ9Rvm/fvgQGBhZYXlQtV2KSWLQtlOU7QolLMXFHkxq8O6gNS7aH0r1xDexsbXC3lZE7hChzyXFw9RhcPAi7F0DUcbBzhq7PGhfc1mhs7QhFadNal+gDWAT8CZiAs8Bq87Scj4Ul3XZ5etx22226IEePHi2wTHHExMSUynJLSocOHXRISIjWWuv09HQ9depUDejHHntMT5kyRT/44IP6wIEDOiUlxWL9xx57TAM6NDS0ROIpie11//336+7du2eb9tJLL2lAv/TSS7nKh4aGaltb20I9/vOf/xTYfuvWrbWfn1+h4z18+LB2cnLSX3zxRbbp8fHxumHDhtrPz0+npaVZLJ91e+VVPi+ltc+XZ0FBQdYOoVSdvhKrJ/1wSDd9Y732n/SzbvPORn3/nC3FXl5l314lTbZX0VS57RV5VOuPW2j9TjWt3/HQ+os7td67ROvk+EJVr3LbqwRYa5sBe3UeOWlpnNl/Msvf/uaHJRp4uhTaF+XY5cuXiY6OzhwhRynFO++8Q0REBAsWLGDgwIGsXbs2z/paa37//XeaNm2Kn59fWYWdryNHjrBhwwa+//77bNNjYmJwdXVlypQpuer4+vpy8ODBQi2/du3aJRFmNrNnzyYpKYmhQ4dmm+7i4kK/fv2YO3cuoaGhNG7cuFjlReW3P/wG8zef4de/I7FVMKxrA8bc3YhzUfHUdHO0dnhCVF3nd8OvU8DGDsK3G8+Ne0Hg61CvM8i9K6qc0kj2G5bCMrNRSg0BhgGdgdoY4/mvBt7XWscWUNcJeBd4HKgOHAQmaa235Chng9El6VnAG+N+AdO01qtKcl2qmvDwcC5fvkxKSgoODg6Z0+fMmcOGDRvYu3cv169fx8vL8t34Dh06RGRkJEOGDLE4/+zZszRs2LBMb8QTFBQEQM+e/4xYEB8fz/r16xk7dix16tTJVcfe3p42bdqUWYw5XbhwATDuRZBTWlpatufilBeVU3q6JujEFb4MPsOesBtUc7anT6s6BJ+8yoju/vjVcMWvhqu1wxSi6kmKhthICPkBdn0FSTfA3Rt6T4WOI6QffhVX4h0otdZhhX3cQjMTMLoJvQH0Bb4A/g1sMifp+VkIjAHeBvoDl4BflVIdcpR7F+OeAXOB+4GdwP+UUv+6hbirvPr165OYmMiMGTOyTV+1ahUNGjTg8uXLDB06lKSkJIv1M/rrW+ofrrVm1qxZZX7Hzbi4OGxtbalZ858v05kzZ3L16lWaN29OVFRUrqEpw8LCsLOzK9Rj2rRptxRfamoqx48fJzw8PHNaq1atAFiyZEm2sjdv3mTt2rV4enpmO0tf1PKicklJS+d/e8/TZ84Wnl66l0MR0fRv58P21+9h3mOd2DG5F8293a0dphBVj9ZwdB181BDmdYXNHxln7x/5Dl45Cne+Iom+KJUz+2VhgNb6apbXm5VS14GlQCDGNQO5KKXaA8OBp7TWi83TNgN/A9OAgeZptTEOKGZorWeZqwcppZoAM4D1Jb5GVYSPjw/9+/fnnXfeYceOHbRo0YK9e/dy/vx59uzZw5IlS3jttddo27Yt7733Ho888ki2+hs2bADIdVY8ISGB8ePH4+Pjw/nz5xk3bhxt2rShe/fuTJs2jaeeeorRo0ejtWbOnDl4eXmxevVqFixYwKFDhxgzZgynTp3Czs6Or776ioEDB+Lt7U3nzp3ZtGkTnp6ejBgxgvj4eL7++mtq1KiR2XbHjh0xmUxERkZSp04d9u7dy/Lly+nfvz87d+7k6tWrvPrqq9ni9fX1JSQkpFDbLOtBRFbffPMNYWHGMfPVq1dJSUnhvffeA8DPz48RI0YAxln5li1bEhAQkHnDonHjxrFs2TJef/11jhw5wh133MH169f5+uuvuXTpEvPmzcPO7p+vh6zl9+/fn3mBbl7lReUQm5TKyt3nWbD1LJGxybTwdmf2w+1ZH3KZPq29cTWPquPl6lDAkoQQJerIKji61rjwNuqkccFtuwfh7tfAq9Q7WIgKpkL+d86R6GfYY36um0/VgRh39/1vlmWlKaVWAq8rpRy11slAH8ABWJ6j/nJgkVKqodb6XLFXoIpbtmwZEyZMYO3atezZs4e+ffuycuVKatWqxcSJE6lbty4zZsxg27Ztmcl+fHw8c+fOZfPmzQDcf//9tG3bFhsbG6Kjo9m7dy83btzg8OHD1K9fn/T0dNzc3PDx8aF3796ZN4UaN24cjRs3ZtiwYcybNw9XV1duv/12vL29OXv2LJ6ennzyySd06dIFb29vRowYgbu7O2lpaWzdupWwsDDuvPNOxo8fn7k+ffv2ZezYsUyePJmAgABCQkLYvn07O3fu5KmnnmLFihW5toG9vf0tDwG6cOHCzO2R4a233gIgICAgM9m3xM/Pj927dzNt2jT++OMPVq5cibOzMx06dODjjz9m8ODBeZb//fffWbVqVb7lRcV2JSaJxdtDWb4zjNikNGq4OlDN2Z41L/TAyd6OBzvVs3aIQlQ9yXFw/axx86sDy0GboG5neHA+tHoA7J2sHaEop2452VdKLcK42PYNrXWk+XVhaK11SV6gG2B+PpZPmdbAOa11Qo7pf2Mk903Mf7cGkoHTFsoBtAIk2S8mT09PFi5cyMKFCy3OHz58OMOHD882zdXVlUmTJjFp0qQCl6+1ZufOnTz66KO0b9+e1157jenTp7N7926+//57Vq9ezeuvv87cuXNxcXEhNjaWhg0bEhYWxu7duwkICODKlSskJyfTuHHjzDPWoaGhLF++HA8Pj2ztKaWYM2dOrjgGDhxIVFRUIbdK0WWcpS+Iv79/xkhZ2TRu3JilS5cWur2M8rGxsbi7S5eNyujM1Ti+2nyW1fsjSE3X3NuyDi/e0wQbpYhNSsXRztbaIQpR9aQmwaa3Yc/XoNONs/hth0DXZ4wuO0IUQFlKAoq0AKXSMZL9llrrk+bXhaG11iXyn0MpVRc4ABzSWuc52LdS6jfAQ2vdLcf03sAm4G6t9Val1FfAQK21d45yTYBTwBNa628sLP8Z4BmAOnXq3LZy5cp8465WrRpNmjQpzCoWiclkwta26v5TPnToEEOHDuXw4cPY2NjQrl07jh49yrRp0zh58iRvvfUWLVq0yOzbbzKZeP3111FKMXLkSH788UcaNWqEvb09gwcPztyWZ8+eZfHixUybNq3MrwsoT25l/zp9+jTR0dElHFH5FhcXh5ubm7XDyNepGyY2nEtl/xUT9jbQsZYte6+YeKGDI7fVKdsfgCvC9ipPZHsVTUXZXio9Fd8L63GLC6XmtT3Yp8WSauvChXoDiKg3kDT7slmHirK9yhNrbbOePXvu01pbPPoriW/xjM5hF3K8LhNKKTdgLZAGjCqoOMaBiaXpxSmXjdb6K+ArgM6dO+vAwMB8gzl27FipnCGt6mded+/ezfDhw6lVqxZbt26lS5cunDtn/BDTuHFjunbtSkpKCkePHqVDhw7ExsZSs2ZNzp8/T7du3di7dy+//vorM2fOpHr16pnLVUoxe/bsKp3ow63tX05OTnTs2LGEIyrfgoODKei7wBrS0zW/H4vkqy1n2Rt2AzsbRYf61Vgwsgs13RyJiku2yhCa5XV7lVeyvYqm3G+vtBQ48yfs+hLOBgEKWvaHLqOxbxiAv1J5jmdeGsr99iqHyuM2u+VkP+eoOrc4yk6RmIfR/AloBARorSMKqHIdaGBhumeW+RnPnkoppbP/9JGznCiHgoKCGDduHGBcuHvx4kUAnnnmGR566CFGjRpF27Ztef755zPr1K1bl6efNnqVNWjQgBEjRuQaXaZdu3ZlswJClKLkNBNrDlzgy81nOBeVQN3qzkwd0IrQawnU93LJTPBlrHwhylDcVfjvY8Zdbk3J4OYNXZ6BO8dCNblGRtyaCnmBLoBSyh5YBXQFemutjxSi2t/Ag0oplxz99lsBKfzTR/9vwBFoTPZ++63Mz0dvJXZRutatW5f5d58+fejTp0/m67xGwPn3v/+d+ffAgQNLLzghrCQ6MZVvd4WxeFsoV2OTqeXuiI2CFWNup4GMjS9E2UuOha2fwI0wOPYTpKcaif2970LLAWBrb+0IRSVRIZN981j63wK9gH5a652FrPoT8B9gKMYwnSil7IBHgN/MI/EAbMRI/h8zl8/wOBAiI/EIISqKCzcTWfTXOVbsCiMhNZ2ODaoz55EONKrpSsjFGOp5ulg7RCGqlqQYOPI9bJ0NMRFg7wpdRkPnp6BWM2tHJyqhCpnsA/MwEvbpQLxSKusFtxFa6willB9wBuOut9MAtNYHlVL/BeaYfxk4h3EzroYYiT3mcleUUrOByUqpWGA/xgHBPcCg0l89IYS4NccuxfDVlrP8dPACKEXf1sadbvu38+WOJsa9G3yqO1s5SiGqkLCdsOopiI8yuup4t4W2Q+HuCeAoF8GK0lNRk/37zc9TzI+s/oNx51sF2JL7LsGjMA4S3gOqA4eAvlrr/TnKTQHigLGAN3ACeFhrvQ4hhCiHtNZsP3ON+VvOsuXkVexsFHU8nPj+ue7U83QhOjGVas7SNUCIMhN9AfYtgXNb4PxOUDZQrwv0+QDqdoIqPuCDKBsVMtnXWvsXokwoFkbP0VonAuPNj/zqmzAOCN4rVpBCCFFG0kzp/HLkEvM3n+HopVhquDowsU9zHO1siEtOw7eacQZfEn0hysj1c7BvMez8HEyp4NkQ7psOHYaDi5e1oxNVTIVM9isTrXWVH8pRVA23ek8PkVt8chrf7z3Pgq3nuHAzkdruxgg6M4e2454WdawcnRBVTLoJtn8Gf82GpJugbMHvDmj7EHR8AmxydjQQomxIsm9Ftra2pKam4uDgYO1QhCh1qampVfpmbyXpSmwSS7eH8s2OMGKS0mhcy5Wvn+jMXU1qsvnUVQKa1bZ2iEJUHRF7jdF0QlZD9HmwsYNOT0LgJPDwtXZ0QpRNsm8ePecBjAtcMwaMvQgEA+vMXWuqHHd3d2JiYqhZs6a1QxGi1MXExFTpm72VhNNX4liw9Syr9keQlq65r2UdjkfG0rtlHe5tZZzJ79Pau4ClCCFumdYQuhV2fgEn1hvTGgVCn/ehWV+wk5N4ovwo9WRfKdUaWAekAieBmxgXzfoBHwCfKqX6a633lXYs5Y2Xlxfh4eEAeHh4YG9vL116RKWitSY1NZWYmBhu3LhBgwaW7mkn8qO1Zm/YDeZvPsvvxyKxVeBob8svL99BszruJKWacLKXX0yEKBOJN2DdK8bdbZNuglN1aNoH7hgL/ndYOzohLCqLM/uvYYyFf8zSTKVUC2ASxig5VYqjoyMNGjTg+vXrhIaGYjKZSmS5SUlJODk5lciyqgLZXkVT1O1la2uLu7s7DRo0wNFR7spaWKZ0zaajl/ly8xkOno+murMdL/dqSktvd45fjqWep3HRrST6QpQyrY0uOmf+hJBVkJYIDu4wcC60HQL2MoStKN/KItnfkVeiD6C1Pq6U2l0GcZRLjo6O+Pj44OPjU2LLDA4OpmPHjiW2vMpOtlfRyPYqXYkpJn7YH8HCrWcJvZaAt4dxYPVyr2Y8dWdDAO5vW3LfF0KIPKTEw5H/wdaP4WY42DlB+0eh0xNQ9zZrRydEoZVFst9OKdUL2Ky1Tss5UykVCHQFviiDWIQQoly6FpfMsh1hLNsRyo2EVLw9nPj8sU70ae3NntDrdPGX4fqEKBPn98D6VyHqFKQmQM3m0OoBY+jM6vUKrC5EeVMWyf57wE9AS6XUOSAao/9+NaAREIbclVYIUUWdvRrHwr/O8b+950kxaXq3rE1Sajq+1Z34l/kMfrdGNawcpRCVXEoC7P8Gjv4I4TuMaXXaQL+Pof7tcvMrUaGVerKvtb4IdFZK3Qv0wLgbbRpwCQjSWu8o7RiEEKK82Rd2nfmbz7LpWCQ2SqG1ZsWYbnRvXIP0dI2NjSQXQpS662eNO9zu/AJMKVDdH+6dBm2GQjUZNlNUDqWa7JtH4ukIJAJ/aa03lWZ7QghRnuW86NbdyY4Xezahd8s6/HU6itZ1PQAk0ReiNJnSYM8C2P4pxFw0bn5V9zZodDcETAZbuQWRqFxKbY9WSk0APswyKV0ptQwYr7WOLq12hRCivElMMfHDvvN8vfUs4dcT8a3uhL2t4pEu9Xn1vuYAtK9f3bpBClHZRZ2i4ZmlsO85iL0EKLn5lagSSvPw9XlgNvA34Al0B4YAdyqlemmtI0qxbSGEsLqouGRWn0rhlS1/cCMhlWrO9pkX3YZei6dRTVdrhyhE5ZaebgyZuetLOL2JBgBN7oV/zQK/O8DF09oRClHqSjPZX6i1np51glKqOvAWsEEp1VlrnVyK7QshhFWcuRrHgq3n+N++86SZNL1b1sHbw5GkNBP3taqDrY2icS03a4cpROUVdwV+exNO/WbcCMu1Fvj1IMQtkLZDJ1k7OiHKVGkm+7n+k2mtbwKvKqWGAa8C75di+0IIUWa01uwJvcFXW4w73drZKNLSNaPbOPDm452tHZ4QlZ/WcGKDMTb+sXWQngr2LvDQQmg5EOwcuBYcbO0ohShzpZnsH1dKfQZM1FonZZ2htV6hlHq7FNsWQogykWZK59e/I5m/5QyHI6JxdbTl5V5NeaRLPf48fpXacWetHaIQlVvCdTj4HWz/P4iLBEcP6PoMtB4MdTuCjdxlWlRtpZbsa62XKqUaA8eUUguBH7TWx7MUOV9abQshRGmLT07j+73nWbD1LBduJuHn5UxNNwd6tajD+HubATCimx/BweesHKkQlZDWcDYYfp8KkX8bZ/G924NPe/jXx+DZwNoRClFulOr4Ulrrt5VS24BZwH+UUheAYGA30BZYXJrtCyFESYuMSWLJ9lC+3RlGTFIajnY2zBveib5tvIlNSqW6i4O1QxSi8kq8CfuWweEVcOWoMc23Ewz8DLzbWDU0Icqrsrip1q/Ar0qpQOBBoA/wOIBSqi9G8r8J48x/kuWlCCGEdR2/HMNXm8+y9tAF0tPh/rbedGrgyaXoJAKa18LWRkmiL0Rp0Bou7oe9i+DgCtAm8OkAA/4P/O+CGo2sHaEQ5VqZ3TlCax2MkdijlKoL9M7yGAHMAWqWVTxCCFEQrTVbT0Xx9dazbD0VhaOdDaZ0ePXeZrzUq6m1wxOickuOhR1fwJ6vIf4K2LtCg+5Qvwv0egeU3HxOiMKwym3itNYXgKXmB0qpdsAz1ohFCCFySk4z8dPBiyzYepYTkXG4OtgysU9zHru9AQfP3+TOJnJeQohSE7HH6Krz92pIiQMU3D0BeowFJw9rRydEhVMu7gmttT4MvGjtOIQQVdvNhBS+3RXOor/OcS0+heZ13GlXtxrNvN15oWcTAAKb17ZylEJUQinxELIads2HyCNgYwdtH4aOj0HN5uBWy9oRClFhlYtkXwghrCnsWjyL/jrH93sjSEw1oRT837CODGjnQ7oGWxvpLiBEqYj82xhR59xWSEs0EvsGPeDuV6FJb2tHJ0SlIMm+EKLK2hd2nS+Dz7LpWCR2NjCoQz36tvHmzNU4ejavhVIKW8nzhShZqYlwaIVxsW3EbkCBsyeMWG30yZe++EKUqDJJ9pVSTwH/01rHlkV7QgiRF1O65re/L/PVljMcOB+Nu5MdtjaKp+9syOR/tQTgXupYOUohKqErx2HfYti3BNKSwLMR3DcdmtxrjKhja2/tCIWolMrqzP7XwF+AJPtCCKvIuAnWom3nOH89EWd7W/4zsDVDbqtHVFwyDbxcrB2iEJVPaiIcWgl/zYabYWDrAP53g3M1uP8jcJWL3YUobWWV7MtvckIIq7gcncSibedYviOUhNR0bvPzpLOfJ9VdHBjRzQ8bG4Wro/RoFKJEXTkOu7+CkFWQdNOY1rwfDPw/SfCFKGPyH04IUSn9fTGahVvP8dOhi5jSNRp4/8E2DL/dz9qhCVE5pSbB0bWwdzGc3wEoaP0gdB4Fng2hen1rRyhElSTJvhCi0khP1wSfvMKXwWfZHXodRzsbRnT3Y1iXBpy6Ekef1tIXX4gSd/UEbJkFx34y+uJ7NYLm/4JGPeF2uYWOqNwiYiMIuRbCvQ3uZdelXSSnJ1s7pFwk2RdCVHhJqSZW77/AV1vOEHotAW8PR7xcHXikS30m9W0BQDNvdytHKUQlkpoER76HA98ZZ/GVjTGKzpDF0OoBsLGxdoRClJqE1ARc7I3rvD478Bm/hv7Kh44fEpUUxRM1nqAPfawcYXaS7AshKqyrscl8szOM5TvDuB6fgoOtYvbD7enf3pd0rXG0s7V2iEJULleOw/6lsH+ZcXdbtzpw7zRoOQhcPMGpmrUjFKJUbbuwjXFB43ik+SPsuLSDkzdOYvv/7d13eBzV2ffx71l1W3KXJbnKHfcm44IBV2yMTYdAQieBFAIpkJCHhARSeZPnCWkkgdCbCR2DsY3BHYx770Wyii3Jtnrf3fP+MQtRhGzUR7v6fa5rr5Wm7Nx7PB7dO3vOfUwYI+NHcumAS7FHrNshfoGSfREJOgeyi3hsxSEWbT+Oz1pmDe3O+L5diI7wcMmoHkSE6a6iSJOpKoPdbzpddU4fBk8EnHMJ+Cph2v9A0ki3IxRpNiVVJTy962lGdRtFQWUBbx58k3JfOc/ueZZR3UbxwMQHmJs8l07RnQBYeXSlq/HWRsm+iAQFay1rDp7kiTVHWHPwJJFhBp+1PHTpcG6ekux2eCKhJ2cvrP8n7HnTqagTFgndh8FN70BsvNvRiTSbosoiskuy6dexH1uyt/DM7mfwWR9ev5eesT25Y9QdLOi/gOSOyW6HWidK9kWkVSuv8vHOtiyeWHOYgzkltIsM4745Q7h+Qm9OlVQyKEF98UWaTFUZ7H7Lmfgqfb2zbOhlMOF2iD8HYrtrhlsJebcuuZXcslzCTTg5ZTnEhscyv/98FgxYwNjuY/GY4Pr2WMm+iLRKp4oreGZdKs+tT6WgzMs5iXFMSO7MrKEJ3HnhAAC6xEa5HKVIiMjeDR//DXa96nTP6ToQJnwd2nWD8+6BSE06J6HrvSPv8a+d/2J+//ksPrrY6YdPGOf3Op8fDfgR03pPIyoseP/etFSyvwoobaFjiUgQO5hdxFPrjvL6lkwqvX48Bh6/YTyzhydgdEdRpOlUlsCOfzsDbrO2giccrA9m/AzO/6Hu4EvIKqws5L0j73F+z/PZmrOV53Y/x6H8Qzy65VFGdRvFT879CXP7zaVLdBe3Q20SLZLsW2unt8RxRCQ4WWtZe+gkf/3oEJ8ePU1EmOHq8b2ZOzyRiHDD5P5dleiLNJUTO51uOttfgcoiiO4Ec34Do65zSmbGdHY7QpEmV+WvosxbRrvwdiw9upTffPobIjwRVPmr6BnbkztH3cn8/vODph9+fagbj4i4psLr482tmfxrzREO5ZTQpV0k0REeHr50BNdO0GybIk2mohh2vQ7rHoXTRyAsypndNqYTnDMf+p3vdoQizabSV8lFr11EfLt4Tpad5GTZSdpFtOOSfpcwv/98xnYfG9I3lOqU7BtjfNbaVlWw2hjTC/gxkAKMBmKAftba1C/Z7xfAz8+wusJaG11t21Sgby3bXWGtfaveQYsI4PTHf2H9MZ775CinSqqIiwrn91eP4tIxPQBUH1+kKVjrdM/55K+wfwlUlUBMV6cf/jfXQocktyMUaTZvHHyDbTnb6NOhD+8efpdT5afIq8hjeu/pzO8/nwt6XUBkWKTbYbaIut7Zb40fdwYC1wKbgTXARXXc71/AkhrL2geWvVPL9kuBX9RYtr/OUYrI5w5kF/Gn5QdYsjsbn98yfUg8A+JjmZDcmTkjlHiINInyAtj5Kmx+Fk7scJYNnuv0w08YDuExmuFWQk65t5yPsz4mJSGF5ceW8/ftf+dEyQkAxnYfy88m/Yw5yXPoGNX2Jn6ra7Lf+qYDg9XW2gQAY8zXqWOyb63NADKqLzPG3IjTFs/WsstJa+36RsYq0mZZa1l1IJcn1x5lzcGThHsM1lpeuH0iUwd1czs8kdBgLaRvgI3/gt1vgN8LCSNh9q+cfvnn3gHt9f9NQou1Fr/147d+/nfT/7Jw/0LCTThe66VvXF/uGnMX8/rPo3dc2+4WGrR99q21/iZ8uZuBbJy7+CLSBMqrnP74/1x1mNRTpXSMDue+OUO4fEwPIsPDiI8L3jJmIq1FeFURrPszbHoa8o5ARHuIiIGR18Il/6uKOhKyMooyuOn9mxjUeRC7T+2moKKAuIg4FgxYwPz+8xnRbURI98OvD9eSfWOMp4kT9obG0QuYDjxqrfXWsskCY0wpEAZsBX6n/voiZ5ZTVM7fVxzi9S2ZFJZ7GZYUx7CkDtx70WBmDE1wOzyR4GctpK6FLc8yZddbYKsgPArm/wlGXu3MdBveNvoiS9threW1g69RWlVKcVUxiw4tIrcsl/yKfGb1ncX8/vOZ3GMyEZ4It0NtdYy1X95DpzkG6BpjDgALgeXW2tWNfK2vA09QhwG6tez7E+A3wGhr7Y4a6/4CbASOAgnAXcCFwI3W2hdqea07gDsAEhISxi9cuLD+b6YJFBcXExsb68qxg5Haq37O1F7HCn0sTfXy6XEvXgvRYXD32CiGdg1r03dXdH7Vj9rrzCIq80k88SE9M94juvIUVWHtyOg6lYpOg6iI7k5e59G6k/8ldH7Vj9vt5bM+squyiQuLY0vJFhblL6LCVmAwDIoexLntz2V0u9FEe6K//MVaiFttNn369M3W2pTa1rmZ7Mdba3ONMX1xEugXrbW+Br5WY5L9vUCZtXZcHbYNA9YDidbas3YAS0lJsZs2bapPKE1m5cqVTJs2zZVjByO1V/1Uby+/3/Lhvhz++MEB9hwvJCbCw7UpvZk8oBvDe3SgdxfNuqnzq37UXjX4fXBkBaz7C6SucSa96j4cSnLha6+y8kC+2qsedH7Vj5vtVeYt4+4P72Zj9kanbz5+BnUaxKUDLmVe/3l0b9fdlbi+jFttZow5Y7LvWjcea21u4DnNGPMKcI8x5mlrbV5LxWCMORc4B/heXba31vqMMa8Cjxhjkqy1x5szPpHWqqTCyzPrUlm48RjpeWV0bR9B1/aRPHXzBEb36eR2eCLBryADtr4IW5+HgnRnWe+JcOlfodsg53dj4MBK10IUaWobT2zkp2t/yrCuw/g462NKvaV0iurEFQOvYMGABQzqPMjtEIOSm332f4lzRz8p8CgFRgG3tGAYNwNe4KV67PPZd6StsUKRSLPKzC/jlf2V3LViOcUVPpI6RvOX68cyZ3gC4R4PHo+6EIg0mK8KDiyFLc/CwWXOsv7T4aJfgrcSBs6C9l3djVGkCVX4KlhydAkRYRHsOrmLdw+/S15FHvkV+Vzc72Iu6X8J4xPG4zEqFdsYblbj+S1QjlMnf/kZBsc2G2NMJHAdsPizbxnqsE84cA1wzFp7ojnjE2lNthzL49fv7WXLsTywcPHIRJI6xnDDpL7069be7fBEgtupw07JzG0vQXk+xCVBj7HQdSBc9S+3oxNpUj6/j7yKPMq95bx58E2e2PkEFku4J5wLe13I/P7zOb/X+USFqWJbU3GzG08p8GtjzHnAbcaYZ621FfV5DWPM1YEfxweeLzbG5AK51tpVgfEAh4GHrbUP19h9PtCF2mvrY4y5HrgMWAyk4wzQ/U7gWNfXJ06RYOT1+Xl7eyYvrD/G1mP5hHsMndtFcv94D9fOG//lLyAiZ1ZVDnsXweZnIG0tzpfGFi79G4y+DsKCtjK2yBnll+fz1cVfJa88j+KqYgCGdx3OlYOubLMTXrUEN7vxjAPGAP0Dj/uNMT+oZ1nLV2v8/ljgeRUwDefqGQbU9v3PzcBp4N0zvPZRoDvwe5wPBaU4lXnmWmtVj19CVkFpFS9vPMY/Vx0mr7SKnp2ieejS4cwZnkB8XDRrVq9yO0SR4JW9G7Y8D9tehIpCiE2AGT+DQReBtwJ6paiijoSUxUcW8+yeZ4mPjmdd1jq81ktiu0RuH3k78/rNo0dsD7dDDHlu3jp4HtgCHMBJzt8ByurzAtbas14RA5V5at3GWnvZl+y7HphRn3hEgtmB7CJ+/d5e1h85RYXXz/i+nYiNiuDXl4+gl6rqiDRcRRHsfB3WPwYn9zt18AfPhbyjzgy3A6a5HaFIkymtKmV52nJiI2P58NiHLEldQqWvkm4x3bhh2A1c0v8ShnQe0qZLMrc0N5P9G6y1W108vkibZ61l7cGTPLXuKCv2O0NXBsS3569fHcfQpA4uRycSxKyFjE2w+WnY/RZUlUBYBHQbDLcu0UBbCSk+v48KXwVHC4/y1M6nWJbmDDCPjYhlXvI8FgxYwPiE8YR5mrSKu9SRm332leiLuKS8ysdbWzP5f0v3cbqkim6xkXxv1iAm9uvKuf26EKaqOiINU3oati+ELc9B7l7AwJivwvhbIDIWOidDpL4pk9Bx8PRBblpyE+GecPIr8gk34YxPGM/151zPtN7TNNC2FXCzz/7vgUjgPmttpTEm0lpb6VY8Im1BVn4Zv1m8l7UHc8kv85LYIZqJ/eJ48pYUYqM0xbhIg/j9kLoaPn0cDixxJr7qOR4mfN1ZP+shiNKsrRI6ntr5FBuzN1JYWciO3B0ADOo0iHvG3cPsvrM10LaVcbMbTw7OoNcHgJ8D44wxVdbazS7GJBKStqfn8/S6o7yzPQu/hXF9OvGjuecwsV8X9ZsUaaiCzMBg2xecia8iY51Ef+4jMOmbbkcn0mRKqkpYl7mOSn8l7x15j3WZ67BYBnUaxPfGfY95/eaRFJvkdphyBm4m+2HW2r8ZY+4L3NVfb4x5GKfuvog0ktfnZ9H24/x68R5OFlcSGxXODZP6MiQhjq9M6E14mCYpEak3X5Vz937Lc3DwA8BCxz5w1ZMw5BIozYVOfdyOUqTRvH4vVf4qVmes5k9b/sSBvAMAJLVP4pbht2hG2yDiZrK/0xjzBvAnYBywHhjtYjwiIeFUcQX/WHWY93YcJ6ugnMgwDzPO6c6frhtDXLS66og0yMmDToK/+RmnZGZcEpz/Q/CWOWUz+09ztotUoi/BzW/9vHP4HX61/lcYv6E8vZy4yDim957OTcNuYlzCOM1oG2SaJdk3xkTgTDz1ibX2YG3bWGvfM8b0AZYAe4wxeUBcc8Qj0hYcyini6XWpLNyQjs9aJvbrwkOXjWDa4HgiwnVhFqm3yhKnks6Gx+H4NjBh0LEXRHeEuzZDhAYeSmio8lfxh41/ILs0m72n9pJVkoXHeBgUOYi7zruL83qcR0SYbhYFqwYn+8aY3sCTwFTgGPAP4M/WWr+1tsoYkwbsw5nUqlbW2r8bYz4ArgaigCcaGo9IW+T3W17bnM4flx/keEE5keEeLhzcjSkDu3Href1UVUekvqyFzC2w9TmnNn5lkbN88l0w5W6IbA8R7cCjD9AS3AoqCtiSvYUjBUd478h7HMw/iMEwpccU7hp7FzP6zGDjuo1M6z3N7VClkRpzZ/9fwGDg28AJnK44Lxpj7rbW5gaWnZExpjPgs9YeAn4XmFE3txHxiLQZBWWV/HtTBgs3HONwbgkAV43ryf/MG0rXWN1tFKm30tOw4xXY9LQz8ZUnEkZeDUPnQ346jLneuaMvEsR8fh9FlUUsS1vGn7f8mYLKAgBGx4/m3vH3csmAS+gW083lKKWpNSbZnwxcba1dFvh9iTGmHXCfMeaFOuy/C+hsjNkBLAaW4VTl+WkjYhIJaRl5pTy9LpWn1h7FAiN7duSPXxnNtMHd6dw+0u3wRIKL3w9HVsCGJ+DQB+D3QtIYaNcVLvwRTFRFHQkNpVWl/GnLn3jtwGv4/D58+OgR24M5yXO4efjN9OmgsSahrDHJ/hEgq/oCa20p8JAx5htA2Zfs/yxOcj8FmAs8BkSjZF/kv1hreXlDOi+sT2XfiSKMMQxJjOOa8b24bWo/lc4Uqa/8dNj2Imx9EQqOOX3x23WBG9+CxBHOhwB105Egd6LkBL/f+HsqfBVsOLGBMm8Z0WHRXDb4Mq4ZfA3ndDlHfz/aiMYk+3cD9xpjvmutLaq+wlr7hDHmZsB/lv3/ClxrrX0RWAX8pBGxiIScovIqlu7O5ul1R9mdVYgBbpvaj9um9qNnpxi3wxMJLt4K2PcebH0eDn/kLOt3Icz+BbTr5lTXiR/sLFeiL0HqeMlxtmVvY3POZpYcXUJBZQHRYdHMHzCfef3mMT5hvCrptEENTvattauNMXuBecArtax/1hhztn77zwPbjTEpwD+stfsbGotIKMkpLOf/LdnH61syscDA7rE8cMk5XD6mJ/Fx0W6HJxJcsnc7/fC3vQRVJdCxNwy/Ckpy4ap/QWx3tyMUaRS/9XMw7yDvHnmX53Y/hx8/0WHRTOs9jWm9pzG772wiw9TNsy1rVOnNwEDcLyT61dYvPcvu+4BKYA7wbWPMCuB1a60q8kibY63lhfVpLN+TzcdHTlHls3SPi+J7swZx/bl99FWrSH2U5cPO15yKOse3gwkH64WJ34I5vwbPGYvEiQSNjKIMHlz3IDtP7qTcV06YCWNo16HMSZ7DtUOupX1Ee7dDlFbCzUm1HrLW5gD3G2MSgItxEn8l+9JmVHp9LN2dzVNrj7A1vYAwAzdOTubmKcn066YLtUid+f2Qts7pprP7LfBVQExXmPs7GHkt5B2FHuPURUeC2sYTG3ls22NU+irZcXIHAPEx8XxvxPe4uP/FdInu4nKE0ho1a7JvjBkOjAXKgTXW2uzP1gUS/c9+zgaeCTxEQt6p4grue20Haw7mUuWz9O3ajm9c0J9vnN+P7uqqI1J3BZlOF52N/4LiExDVAcZ+DbzlkHyBUzIToH1Xd+MUaaBtOdvYc2oPqzJW8UnWJ1gsfeP68r1x3+PifhfTI7aH2yFKK9dsyb4x5l7gkWqL/MaY54AfWGsLmuu4Iq2Vz2957pNUdmUWsGjHcSq9fuJjo/j5pcO4eESSJsASqStvJexf7CT4aevA+qFDTyfRv2e7U1lHJIiVVpWyNnMtrx14jU+OfwJAz9ie3DbiNmb1mcWI+BEuRyjBpDnv7H8b+COwG+hMoC4/MNUYM9Nam9GMxxZpNXx+ywd7snl0+QH2nSgiIsxwTUpvbpmSzOCEOLfDEwke2bth6wvO5Felp5xl426Cqd+HmC4QHg0R+mZMgpPX7+WTrE/4+cc/J68iD6/fS9forkzpMYUbh97IeT3P0/gtaZDmTPaftNb+uvoCY0wn4GfA+8aYFGttRTMeX8RVp4oruPWZjaSdLKWgvIoeHaO5elxPfnzxOaqqI1JXZfmw63XY/Ayc2OHUxB86H4ZdAbl7IeV2iEtwO0qRBvFbP8/tfo5lacvILM7kdPlpIjwRDOsyjLvG3sWExAmEe9wcXimhoDnPoNiaC6y1+cAPjTHXAz8EftOMxxdpcRVeHx/szuaTI6d4Y0smZVU+enWO4ZGrRzFraHfCwzQ4UORL+f2QugY2PgkH3gdfJcQPc+7eT/wmTPtxYMMrXA1TpCGqfFW8c/gdUgtTWZq6lOMlxwGY1WcW8wfMZ2rPqUSFRbkcpYSS5kz29xlj/gLcZ60tr77CWvuyMebBZjy2SIvy+S0r9uXw07d2caKwnMgww+Vje3Lz5GSG9+zodngiwSH/GH1TF8K270J+YGbb6A5ww1LoMRb8PgjTXU4JPtbaz5P7V/a/wsmyk3jwMKXnFO4YdQcX9b2IDlEd3A5TQlSzXTUDk2oNAPYaY54EXrPW7qu2SXpzHVukpWzPyOdHr+6gqLyKrIJyusVGcm1KL3489xy6xurOjMiXqiqHfe86ffGPrKAfQL8LYObPoX28M9g2caSzrRJ9CTLZJdks3L+Q53Y/R6W/EoDR8aOZ1nsad466k8T2iS5HKG1Bs145rbUPGmPWAX8AHjLGZAIrgQ3ASODp5jy+SHMoKKtib1YB7+48zmubMyiv8jM4IZbH5o/jomEJ6qoj8mWshePbYNMzsPMVqCqDjn1g1HXkp+2k0+X/gI493Y5SpEFOl53ml+t/yeH8w6QWpmKxxEXGcXny5Xxj1DeU4EuLa/bbJIFZdJcaY6bhdLCcA9wAYIyZi5P8f4Bz57+89lcRcZ/Pb1m+J5vvvryVSp+fyHAPl43uwQ2T+jK6dye3wxNp/UpOwvZXYNsLkLMHwiKd/vjn3gFzHwGPh20rVzJNib4EmaziLF478Bp7T+9lfdZ6vNZLbEQs3xrzLS5OvpjkjsluhyhtWIt9J2qtXYmT2GOM6QnMqva4EXgU6NZS8YjU1aLtWTy/Po0TBeUcO11Kx5gIrhvTm3tmDlJXHZEv4/PC4Q+dbjr7FoP1Ot1zLvk/GHEV5KVC0mhQSUEJMkUVRaw/sZ73j77Ph8c+xG/9JLZL5MbhNzKz90xGxY9SqUxpFVzpAGmtzQSeDTwwxowC7nAjFpHaHC8oo7CsiufXp/HKxnSqfJaxvTvx47nncNHwBCLUVUfk7HIPOHfwNz8H5XnQrhtM+ib4qqD3uTDyame7mDGuhilSH1X+KtZnrefJnU+yOWczAF2iuzA3eS6TkyazYMACwjxhLkcp8t9axWgna+0O4C634xDx+S1/X3mIPyw7AEBkuIcFo3pwy3nJjOrVyd3gRFq78kLY/QZseAKydznVdDong8cDd291KuuIBBmf38eK9BX8ZetfyCnNobiqmPYR7UnukMydo+5kbr+5qoUvrZrOTmnzfH7LYysOcTi3mA2pp0k/XUZsVBg3TOrLN87vr646ImfzWU38bS/CnnfAW+Ysn/ANuOA+iIqFsChV0pGg4vf7effIu6zNXMvm7M3klOUAMKLbCO4YeQfn9TyPyLBIl6MUqZtmv/oaY9oDi4DvWmt3N/fxROrqdEkluUUVPLe7gtWZ+7HAuf26cP/cocwZrqo6ImeVlwbbX4Ytz0NhBoTHwOjrYPiVzuDb0V+BmM5uRylSZ9ZatuVsY3XmahYfWUxWSRYGw/Te07m438VM6TFFtfAlKLXErZZwYBqgmYWkVfD6/Hzzhc2sOpBLlc8S4YHLx/TkGxf0Z1gPXchFzqiyFPa+Axseh8zNgIHk88ETDpO/AxMDQ6/6X+BqmCL1kVqQyvup7/PCnhcorCzEg4fJPZz+95cPvJxecb3cDlGkUfS9qrQJJwrK+eeqw8TFhPP65kwy88voGB3BN2b2I9mbwfyLxrgdokjrZC2kb4Ctz8Hut6GyyOmW064rfGMFdO7rbKOqIxJEsoqz+NfOf7H46GJKqkowGAZ0GsC5iefyk4k/oXu77m6HKNJklOxLyPL5LeVVPo6eLOGPyw/w4V6nz+WUAV15cMEwZg1NIMxjWLky0+VIRVqhwizYvhC2vQSnDjrLRl4L42+G6E5O+cy4BGe5En0JAscKj/Fc7nM8tugx9p7eC0BUWBS3Dr+Vrw39GgntE1yOUKR5tGSyb1vwWNLGFZd7mf6HlXg8kF1YQbvIMK4a15NvXjiAQQlxbocn0jpVlcP+xbDpKWfQLUCfyTB0gTMh1qyfQ3tNhyLB40TJCd4/+j5rMtew8cRGAOJtPPeMu4eL+l5E77jeqoUvIa9Jk31jzFDgvhqLPxuu/oAxJqfGul9baw83ZQzSdm05lse6gyfxWctLnx4jt7iC+LgofjZ/GFeP70XHmAi3QxRpfayFrK2w+WnY/RZUFEJsImBg9kNw3j1uRyhSL4WVhXx07CPeP/I+Hx//GIDkDsl8c/Q38WZ5+e7F38VjVIBB2o6mvrMfA/Q7wzF6AO1rrItu4uNLG1Na6SUmIowtx/K479UdHDlZAsC0IfE8MiWZCwfF4/Horo3IFxRlw45XnG46uU6XBjonw7XPQr8LoSwf2nd1M0KROiutKmVF+goe3/E4RwuOYrH0jO3J1J5TmdVnFlcOuhJjDCvzVyrRlzanSZN9a+0WYHr1ZcaYTsBp4C5r7cdNeTxp21bsy+HOFzbTu0sMh3NKiI0M48ZJfbl9aj+Su9X8XCkieCvgwBInwT+wFLDQ61yY/6jzc+Jo6DXe2VaJvrRy5d5yXj/4Oq/sf4Wsoiwq/BXEhsfSt0NfHp7yMGO6j1EXHRFaps+++upLk6jy+Xl3RxaRYR52ZBbw8oZjVHr9+HyWX14+givH9qR9lMaci/wXa+H4Ntj8DOz4N1SVQlwS9J0C1g83vQPhmhxIgkOlr5LXDrzG5pzNrM1YS6m3FIA5yXO4/pzrGdt9rO7ci9QQtJmRMaYX8GMgBRhNoAuRtTa1Dvue6QPIWGvttmrbeQLHuBNIBPYDD1trX29U8FIv5VU+osI9rDt0kh+/vpNKr58wj+GiYQncNDmZSf276O6NSE1F2bBjIWx72emmY8LBemH2r2Dyt8F4VEVHgkKVv4r1WetZmrqUD9I+oNRbSnRYNJf0v4SZfWYyvOtwusR0cTtMkVarpZL95ri7PxC4FtgMrAEuquf+zwD/rLHsQI3ffwncCzwQOM51wKvGmPnW2sX1DVjq76dv7mT53hxiIj0cPVlKx5gIvj41mRsmJdOjU4zb4Ym0Lv/VTWcZ4IdOyTD/jzD4YijIgF4pSvKl1fP5fWzK3sTio4t5+9Db+KyP2IhYZvaZSaeoTtw8/GaVyhSpo5ZK9pvjL8tqa20CgDHm69Q/2c+01q4/00pjTHecRP931to/BBavMMYMBH4HKNlvBjlF5by6KYPpQ+J5eUM6r25Kp8JnGdmrI/937WjmjUwiOiLM7TBFWo/Pqulsewm2vfifbjpT7oL8NEi5Hfpf6GzbIcndWEXOwm/9bM3Zyt+3/Z0duTso85UREx5D77jeTO4xmR+m/JCosCi3wxQJOs2e7FtrC4Am70BnrfU39WvWMAenbOgLNZa/ADxljOlnrT3azDG0CX6/pcrvJ8wYnv8kjb98dIjfL91PZJiH+aN7cNPkZMb07uR2mCKtS9EJp4vOlmch76gzq21MJ+g2GL7xEXj0oVhaP2stH2d9zIt7X2R/3n5ySnPwGA+xEbE8dN5DTOs9jZhwfYsr0hhB22e/CXzLGHMf4APWAz+31q6ptn44UAEcqrHf7sDzMEDJfiMVlVcx709r6B8fy8HsIrIKyukeF8nNU/px3YTedI3VXRyRz1WVw4H3nbv4h5Y7A2yNB+b8FsZ81emeE9VB3XSkVbPWsunEJlZmrOSDtA84XnIcgImJE/nh+B8yucdkOkd3djlKkdBhrP3y7vTGGJ+1ttXeJgp043mCug/QfR54F8gC+uJMBDYMmG2tXRnY5nHgUmttYo19BwIHgZustc/XWHcHcAdAQkLC+IULFzbujTVQcXExsbGxrhy7Lg7m+cgu8ZMU6+HDY14+yfJigWFdPczsE8GY+DDCWrA2fmtvr9ZG7VU/jW4va4krOkDiiRV0z15BhK+ciohOnEiaRUHHc/D4qzjVdQLWExqTxun8qp9gaS9rLZlVmWwp2cKGkg0U+AowGIbGDGVY9DB6RPZgYNTAZi+2ECzt1VqoverPrTabPn36ZmttSm3r2uSdfWvtjdV+XWOMeRvYBfwKmBpYbqh9YPEZr0TW2seBxwFSUlLstGnTmiTe+lq5ciVuHftMyqt8REeEUV7l409PrGdXZgFVPkv7yDBumtyXGyf3ZWD3OFdia43t1Zqpveqnwe1VkOncwd/8FBRlQXgMDJoNuXuJuvQv9O07pcljbQ10ftVPa24vay0H8w/y3pH3WLhvIaXeUsJMGBMSJ+AxHr4z5juMih/VojG15vZqjdRe9dca26xNJvs1WWuLjDHvAbdXW3wa6GyMMfa/v/7oXG291MGSXcf5wb+3c8XYnry38zj5pVX0j2/PrVOSuWJcL2JVG1/EUVkKexfBlucgbR1gwRPu1MS//hWI7uB2hCJf6kj+EZ7Y+QSfHv+U3LLcz/vgz+47m59O+ildolUmU6QlNUuWZYyJAK4HPrHWHmyOYzSDmnfydwNRwAD+u9/+sMDznhaKK+iUV/l4c2smo3p2JKe4gmc/TqO00sfLG44xZ3giN07uy+T+XVUbXwScajppH8P2l2D321BZBGGRcOGPYPR14K2ErgMhTB+KpfU6nHeYF/e9yNacrRzKd/5kRodF88C5DzAreRbdYrq5HKFI29Xgvx7GmN7AkzjdXo4B/wD+bK31W2urjDFpwD4grNo+HuByYAbQK7A4C1gJLLLWljU0nsYwxnQALgE+rbZ4CVAJfA14qNryG4BdqsTzRWWVPmIiwzhVXMHP395NdKSHwjIv3WKj+O6MgXx1Yh+SOqqqgggAp4/C9oWw6WkoyYaI9jD8cujYC2ITIeVWDbSVVu1owVE+SP2AZWnL2J+3H4BR3Ubxk3N/wviE8fTv2J+IsNAYSyISzBpzq+hfwGDg28AJYBzwojHmbmttbmDZ54wxw4FFQBXO5FX5OCU5+wK/Bf4UmKxqc10DMMZcHfhxfOD5YmNMLpBrrV1ljOkLHMaZ9fbhwD73AkOAFfxngO69ODPkfu2z17bW5hhj/gj8xBhTBGwBvoLzQeWyusbYVnznpS1k5pUxJCGOt7dnUunzM6p7B26a0o+5wxOJDNf05SKUF8LuN+DTxyFnN2Cg+1BnZtubF0HCcLcjFDmr9MJ0lqYt5a2Db5FWlAbA6PjR3DHyDnrE9mDBgAVEhkW6HKWIVNeYZH8ycLW1dlng9yXGmHbAfcaYmrXpAX4EXGKt3VvbixljzgF+DNxajxherfH7Y4HnVcA0nK45Yfx3nf/9wBWBR0egEFgH3G6t3VDj9R4AioF7cD4M7AeutdYuqkeMIenoyRLe3pbJNy/sz/u7TrAzI59jp8vYd7yQK8b14sZJfRnWQ/2LRbA+p0zmtpdh33vgDXyBOfhiuOQPzgRYGPDoA7G0ThlFGbx75F1e3vcyp8ud4WrDugxjcOfBfH/c95naa+qXvIKIuKkxyf4RnDvjn7PWlgIPGWO+AdTskvPJmRL9wL77jDE1k+2zstae9TvuQBlOU2PZIpxvGOry+j6cCj2/qk9coaq8yofHGCLDPXy4N5s/f3iQp9cdpaDMS/9u7Xlw/jCuGt+LjjH62laEnL2w/WUmb3gOqvKcSa/G3gCjr4eSHOg/HSLbuR2lSK2yirN4fvfzrM1aS2phKgARngjO73k+D0x6gJ6xPd0NUETqrDHJ/t3AvcaY71pri6qvsNY+YYy5Gag+y+0oY8xMYJW11lvzxYwx04Bzgb83IiZpJumnS1nwl7Vck9KLoydL+XBvNgAT+3XlpsnJTBnQFU8L1sYXaZVKTsLO12DDP+H0EfCEU9R5HFHdusLAi2DCbW5HKHJGWUVZvH7oddZnrWfHyR2AM8j2e+O+x5zkOSS0TyAiROZzEGlLGpzsW2tXG2P2AvOAV2pZ/6wxpnq//V8B7wBDjTFHgQKc/vsdgf5AGuoL36os2p6Fz2+ZPqQ7S3Ydx2ctT6w5SrfYSL4zfSDXT+xDz04acCttnLcC9i9xEvz0T8HvhfbdILoTfOtjdm092OpqLot85njxcZalLWNZ2jJ25DoJ/pDOQ/jeuO9xTpdzGNFtBB2jOrocpYg0RqNquQUG4n4h0a+2fmm1n7OAFGPMbGAKTh94L3AcWGGt/aQxsUjTOF1SSZf2zuCqJ9ceJTO/jPvf2EF5lZ8JyZ25YVJf5o5IJCq81U6oLNL8rIWMTbD9Zdj1OpTnO8tHfxWmfNepqBPRLlAuM1iqD0tb8VmC/8bBNzhScASAoV2G8pUhXyGhXQI3DruR6PBol6MUkabSrIWbAxV4xgLlwBprbba19gPgg+Y8rjTMP1Yd5s8fHuR/5g3ltc0ZbEvPJybCw5XjenHDRA24FSEvDXb8G7Y+D/lp4ImE4ZfBkHlQWQLDr4AoTS0vrc+JkhO8c+gdXjnwCjmlOQD079ifXnG9uH/C/VzY+0KXIxSR5tJsyX6gxOUj1Rb5jTHPAT+w1hY013Gl7nKKynlyzVG+OrEPBsPB7CL81vLTt3YxIL49P1/gDLjtEK0+mtKGlRfC7rdg/WOQG6gx0HeqM/HVBffB6K+4Gp7ImZwoOcHLe19mdebqzye68uBhas+p3H/u/fTt0NflCEWkJTTnnf1vA3/EmYm2M4FSncBUY8xMa21GMx5bzqDC66OwzEt8XBRVXsuTa4+y6kAu+7OL8BjDnOEJ3DBJM9xKG+fzwuGPYNNTcGQFeMudajqdkuHmd6CzkiRpnY4XH+edw++wOnP1533w24W3455x9zC772y6xXSjfUR7l6MUkZbUnMn+k9baX1dfYIzpBPwMeN8Yk2KtrWjG40sNfr9l7qNrGJIQx8heHXnp02N4/ZbTJZXcM3MQ103oQ2JH9dOUNuzETmdW2x3/dspjYmD8LU7JzPbx0KEHaEZQaWWyirP4IO0DlqUu+7yKzjmdz+GecffQO7Y34xLGEd8u3uUoRcQtzZnsf6HjqrU2H/ihMeZ64IfAb5rx+AKs2JfDqgO5/HzBMDYfy6NjTAQf7D3Bkt0nmDKgKz+9ZCizhiUQEaYJfaSNKjwOO1+FTU9D3hEw4TB4DvRKcSrqjP0ahEe5HaXIf8kszuSD1A94IfMFstOcUshDuwzlsgGXkdg+kTtH36kymSICNG+yv88Y8xfgPmttefUV1tqXjTEPNuOx27SsYj8+vyXMY9idVcjb2zJZd+gkB3OKiYsO56bJyXxtYl8GdtdAQmmjKktgz9uw/u/O3XwsdB8Osd3hin/CgBluRyjyBRlFGbx16C3ePPgmOWXOINvu4d1Jap/EQ5MfYnLPyS5HKCKtUbMl+4E6+wOAvcaYJ4HXrLX7qm2S3lzHbsvWHjzJ/6wtw9c1jf3ZRbyxOYPSKj89OsXw2ytHctmYHrSLbNYiTCKtk98HR1bB1hfg4FKoLAaMcwf/8r9Dt0FOSU2NVZFWJL0wnYX7FrLu+DoO5x/+fPnsvrP5/vjvc3jzYc3jICJn1axZn7X2QWPMOuAPwEPGmExgJbABGAk83ZzHb2u8Pj/ZhWXExxh+9vZuIsM9zB+VxI2T+jKmdycNuJW2KXsP7FgIO16FoizwhMPo62H0dRARC4kjAvXwUaIvrUJaYRqLDi9idcZq9p52KkB1iurED8f/kNnJs2kX3o7O0Z0BOMzhs72UiEjzJvvw+cRaS40x04ArgDnADQDGmLk4yf8HOHf+y2t/Famr/7d0P8bAA/OGcvX4XnQOTJAl0qYUZTv98Df8E/KPgQmDQbNhyMXQc5wz4FakFTlScIQPUj9gWdoyDuQdAGB0/GjuS7mPrtFdmZA0ge7turscpYgEoxbrz2GtXYmT2GOM6QnMqva4EXgU6NZS8YSi8DAPr31zCge3f8qMC/q7HY5Iy6osgV1vOP3wc/YAFjr2hrgkuPFt6D7E7QhFPmet5XD+YZalLePNg29yovQEAGO7j2VB/wX07dCXO0bdoW9kRaTRXOm8ba3NBJ4NPDDGjALucCOWUNO7SzsO64+DtBV+Hxxe4XTT2f9+oB8+cM4CmPkgdB0IHlWaktbBWsuBvAO8cfANFh9dTH5FPgZDv4796BPXhz9c+AeGdh3qdpgiEmJaxUhNa+0O4C634xCRIHFiV6Af/r+hONuZ8GrUtTDyGsADyecpyZdWwVrL7lO7WbhvIRtPbCSrJAuDwWK5ZvA1fHvMt+kWoy+1RaT51DXZN8aYJ4B3gA/Ut15EWlxhltMPf/1jUHTCGWg7cDZ4wmDsTTBkjtsRigBOgr8jdwfvHX2P1RmrySzOBCCpfRIPTn6Q6b2mE+YJ+3yQrYhIc6prsh8GTAIuBX4eqKqzCFhkrc1uruBEpI2rKILtL8OmZ/7TD79dV4gfCre8C+11R1RaB7/1sy1nGx+kfcDyY8s5UXICg2FKzyncOepOYsJjmJg0UQm+iLS4OiX71loLfBJ4/MQY0x8n8X/RGBMFvA+8Y63d1WyRikjb4PPCgSXOYNv9i8Fb5iyf9G1IuR269HPu5ou4zOv3siV7Cx+kfcC7R96luKqYSE8kU3pOYXLSZEbHj+aqwVe5HaaItHEN6rNvrT2CUz3nUWNMR2Ae8IAxZgiwGqe7zyprra+pAhWREGYtZG1x+uBvXwjl+RAZC2Oud7rqdOgBSaNVB19cV+WvYuPxjbx24DVWZ66mwldBdFg0/Tr2wxjD32b8jW7t9I2TiLQejR6ga60tAF4GXjbGhAEX4tz1/4MxZh9O4v9+YDsRkf/IS4WtLzn18MvznYG2g2ZBZSnMfhiSRrkdoQiVvkrWZqxl4f6F7Dy5k+KqYqI8UVTZKu4Zew9fHfpV2kW0cztMEZFaNWk1nsCd/I8CD4wxw3ES/0XGmHLgPZzuPkeb8rgiEkRKT8OGx2H3W5DrzA5KRDtnwqvL/wExndyMTgSAMm8Zq9JXsTR1KeuPr6e4yinrOqzLML45+pucm3QuBqMkX0RavWYtvWmt3Q3sBn5rjIkHFgD/Z4xJAj7ESfw/bc4YRKQVqCqDPW/Bnnfg4AfgrwJPBMx40CmZGZcEYa2iErC0YSVVJaxKX8XyY8tZk7GGcl85kZ5I5g+Yz6w+szAYUhJTiA6PdjtUEZE6a8kZdHOBp4CnAoN6ZwG3GmP+BmwF3gaWq6ynSIjw+yB1rdMPf9dr4C2H2ASY9E3oNQF6jINOvd2OUtq4gooCVqavZHnaclZnrMaPn24x3bhs4GWEe8K5sNeFTO4x2e0wRUQazK0ZdCuA94wxacAVwD3AbUCZMWaetXa1G3GJSCNZC9m74NN/OjXxveUQGQf9pzkDbi9+ROUyxXWnyk7xUfpHvH7gdfac2oPFktg+kTHdx9Alugu/v+D3hOubJhEJES16NTPGeIDzgcsCj2TAB6zDubP/tvrziwShvDRY87+QugZOHwET5pTHPO97MO1+iIhxO0Jp406UnODdI+/y5sE3SS9Kx2LpEt2FmPAYHjn/ES7sfSFG1Z5EJAQ1e7JvjGkPzMFJ7i8BOgPFwFLg58B71tq85o5DRJpYySmnTOa+d+HYx86y9vFwyf/CsCucgbaqhy8uSi9M581Db7Iucx17Tu/5fPlFfS/ijlF30K9jP8I94XiMx8UoRUSaV7Ml+8aYicDPgBlANJAJ/BunFOdH1trK5jq2iDSTqjLic9bBy487E15hodtgmPFTZ1bbATMgUtVJxB3WWg7nH2ZJ6hJWpq9kf95+ALrFdOPusXczo88MvH4vgzsP1l18EWkzmvPOfjowAVgL/MRau7kZjyUizcXvg6OrYe2jkLaW4X6vM9B24GynDv70B8CjO6PiDmste07tYfmx5SxPW05qYSoAY7uP5b6U+/BZHzP6zKBvh77uBioi4pJmS/attVnGmOuBPkr0RYKMtZD2Maz5A5zYBSU5EB4NUXHs6Xsrw679qbroiGt8fh/bcrexPG05iw4voqCygDATRkpiCv079mdU/ChuH3m722GKiLQKzV1n/yNjTK/mPIaINKHs3bDzNdi7CE4ddJYljYF5v4dBF0FkO3JWrmSYEn1pYVW+Kjae2MgbB99gVcaqz2vg94rrRdeYrjwx+wm6t+/udpgiIq1Osw/QtdZmNPcxRKQRinNg95vOYNusLc6y5PNh8neg20DoOxXUv1lcUOYtY03GGl7d/yo7T+2kpKqESE8kVf4qvj/u+3zlnK/QPqK922GKiLRqKiQs0haVF8K+92DV7yAv1VmWMBKGzIMxX4Oh810NT9quMn8Zbx18i+XHlrPhxAbKvGUAjO42mq+P+jrjuo/DYzzERsa6HKmISHBQsi/SVngrYfPTsOVZOHXYmfAqqgMkDIcr/wUJw9yOUNqoU2Wn+OjYR3yU/hEfZ36MP91PTHgMC/ovYGafmVT6K5mUNIno8Gi3QxURCTpK9kVCmd/vdM9JW+fUwy/Pd5aPug5SboPe56qLjrgiqziLD499yIfHPmRztlPDoVdsL6Z3mE7PXj2Z0WcG4xPGuxyliEjwU7IvEmqshePbYddrsPUlKDsFYVEw7DI4Zz70nQKx8W5HKW2MtZYjBUdYnracNw+9SWZxJgCDOg9iYtJEesX24ueTf86qVauYNmGau8GKiIQQJfsioeLUYdj+Mnz8F6eLjiccBsyEdl1h2v3QWXXGpWVZa9l1chdvH3qbpWlLya/IB6BHbA+6xXTjrzP+yvBuw90NUkQkxCnZFwlmRSdg2U/h2CdQECh81S4eRlwJF/0a2nVxNz5pc7x+LxtPbOTVA6+yJWcLp8pO4cGDHz83DL2BW0fcSreYbniMJmITEWkJQZvsB+r3/xhIAUYDMUA/a23ql+yXAtwBXAD0AU4Ca4CfWmuP1tg2FajtdugV1tq3GvcORBooPx0+/bsz2VXqGrB+iGgHs3/pJPkdNbWFtKxybzlrMtawLG0Znxz/hIKKAgAGdBzAD8b/gPN6nIfP+ujeTnXwRURaWtAm+8BA4FpgM06yflEd97sOGA78GdgN9AR+Bmwyxoyx1qbX2H4p8Isay/Y3MGaRhik5BUdWwu43YP9iJ8Hv1BfOv9cpl9ljjAbaSosqrCxk5bGVrEhfwdrMtZT7yonwRDAneQ4z+8zE6/cyucdkOkZ1dDtUEZE2LZiT/dXW2gQAY8zXqXuy/4i1Nrf6AmPMOuAo8A3gwRrbn7TWrm9ssCL15quCwytg/WNwZIWzLDbRqYPfawKMvQE0k620oJzSHFYcW8GHxz5k/fH1WCzxMfFcNvAyPMbD1J5TuaDXBW6HKSIi1QRtsm+t9Tdwv9xalqUZY3Jx7vKLuMfvh0MfwrL/gcIsqCx2auF3HQjn/8ApmakEX1pQakEqHx77kLcOvUVqYSoAfTv0ZULiBDpHdeaRCx4hTOekiEirFbTJflMyxgwFugN7a1m9wBhTCoQBW4Hfqb++NClrYetzcOADyNoChZmAgcSRMO0nMHAmhEe5HaW0EdZa9pzawzuH32HJ0SWcrjgNOBV0ukR34fcX/J4JiRMw6jYmIhIUjLXW7RgaLdCN5wnqMEC3ln3DgQ+BocAQa21etXV/ATbidPFJAO4CLgRutNa+UMtr3YEz+JeEhITxCxcubND7aazi4mJiYzWVfF250l7W0ilvO50K9tA9Zw3tyrKwwKmuE8jpfj6nuqTgi2jfsjHVkc6v+gmG9vJZHwfLDrK2ZC1Hy49S6C/EYLBYprSfwpxOc+gU1qlFKugEQ3u1Jmqv+lF71Y/aq/7carPp06dvttam1LZOyb4x/wBuBy6x1i77km3DgPVAorW299m2TUlJsZs2bapPKE1m5cqVTJs2zZVjB6MWba/8dNj1ulMLv/Sksyz5fOh/odNFp9NZT6tWQedX/bTW9iqtKmVNxhqWpi7l0xOfUlhZCDhddL4x8huc3/N8vNbb4hV0Wmt7tVZqr/pRe9WP2qv+3GozY8wZk/023Y3HGPNbnDvxN39Zog9grfUZY14FHjHGJFlrjzd7kBL8inNg7R9h01POZFcA8edA/2kw42fQJdnN6KQNySvPY0X6Clakr+DjzI+p9FcS7glnXr95TO89HY/xMCFxAnGRcW6HKiIiTaTNJvvGmAeA+4G7rbXP12fXwHPwfyUizSf/GCy5HwqPw/FtgVr47WHCN2Dyt6FLf7cjlDYioyiDFekr+OjYR2zKdr5tTGyfyNWDryYmPIaUxBSm9pzqcpQiItJc2mSyb4y5G/gV8IC19i/12C8cuAY4Zq090VzxSZDK3g0HlkDGZji4DPxVENMZpv4ARl4N3Ye6HaG0AdZa9uft56NjH/HO4XfILM4EYFDnQVzY60I6RHbg4SkPEx7WJi//IiJtTlBf7Y0xVwd+HB94vjhQQjPXWrvKGNMXOAw8bK19OLDPdcCjwBLgI2PMpGovWWit3RPY7nrgMmAxkI4zQPc7gWNd36xvTIJH6Sk49inseg12vQFYiEuCc++AwXOg3wWa7EqandfvZUv2Ft458g7L05ZTUlWCwdCvYz8S2yfyyNRHGJc4zu0wRUTEBUGd7AOv1vj9scDzKmAaTpebMKB6CYm5geVzA4/qPtsPnAo83YHfA12AUpzKPHOttUubJHoJTj4vHF0FSx+A3H2AhZguzky2I6+GYZeDp/mrlkjbVlpVyuqM1fx7/7/Ze3ovxVXFRJgIvNbLV8/5KneMuoOuMV3dDlNERFwW1Mm+tfast0wDlXlMjWW3ALfU4bXXAzMaHp2EFL8fNjwO6x51BtmW5UF4DCSOgmn3w6DZEBbhdpQS4k6VnWLx0cWsOLaC7bnbqfRXAjCg4wB+OfaXTE6ajMUSG6lSeSIi4gjqZF+kWZXlw5o/QOlpOLwCirIAAwNmQMptMHAWRES7HaWEuNSCVJakLuHjrI/ZlrMNiyUqLIprhlzDjN4ziA6PZmiXoUTow6aIiNRCyb5IdcU5kLUVjn0CO/7tzGZrwmDwXBj+MAy5GKJ011Saj9/62ZG7g5XpK1mRvoIjBUcAGNJ5CN8a/S06RXVidPxohnUb5m6gIiISFJTsS5tn/D7I3Q87X3fu5Fufk+APmA4TvwXjboSYTm6HKSGswlfBp8c/ZUX6CpYeXUpRVREePExImsDY7mOJj4nnztF3Eu7RJVtEROpHfzmk7Tp9FN74BlOzdsDqCsA4k10Nne8k+e01uFGaT0FFAaszVvPukXdZf3w9fuunXXg7hnUdRrmvnIenPMygzoPcDlNERIKckn1pW3a+Bmv+F8IincmugKrIroTNeAiGXwFxie7GJyEtvSidZanLeP3g62QWZeLHT9eorkSFRfH1kV/nluG3EBkW6XaYIiISQpTsS2gry4fNz4Kv0pnoKmODszx+KMz+JQy/gvXbDjNt0jQ3o5QQ5bd+0irSeGDtA2zO3vz5BFcePIzuPpofTfgRw7oOw2Awmo9BRESagZJ9CT0lJ52BtmnrYOuLcHyrszxhBEz/qXMHv9vAajscdiVMCU0VvgrWZKxh8dHFbM/ZTk5ZDgBxEXHcl3If03tPJy4yjk7RndwNVERE2gQl+xIa/H4oz3e66Sz5MVi/s7zrIEj5ujOjbfchroYooSuvPI+lqUv59PinrMtaR5m3DIBZfWaRVJLEzJSZDOw8kI5RHV2OVERE2hol+xLcyvLgpa/A6SPOz34vtI93ZrOdeCd0HwbqHiHNILUg9fPymFtztmKxdIvuxoL+C0jumExyh2TO63keq1etZnzieLfDFRGRNkrJvgSfna/DxicgqgMc/gj8VRDdESZ/B4ZfCUmjleBLk/P5few4uePz8phZJVkADO48mKsGXYXHePjOmO/QJaaLy5GKiIj8h5J9af1KTsL2hdCuC+x9Fw4sBeuF2CTn7v3wK6HnOCX40uRKq0r5JOsTlqYu5cNjH1LpryTchDO6+2hiImK4Z9w9TO893e0wRUREzkjJvrROhVng90HGRvj0n5C+3lkelwQTbocRV0GvCeDxuBunhJyc0hxWpq/kxb0vklaYhs/6iI2IJSo8ivl953Nvyr3ERca5HaaIiEidKNmX1sPvA28F7HwVFt0Nngini0777jDyGki5HXpPVIIvTcpay/68/Szct5D1x9d/Xh4z0hNJr7hePDjpQcYmjCXCE+FypCIiIvWnZF/cV1kKT85ynotzoKoEImNh8MWQcgv0mQyeMLejlBBS6atkdcZq3jr0Fvvz9nOi5AQA4Sacu8fezbTe0+gZ25N2Ee1cjlRERKRxlOyLOzY9A3sXQbvOsP99qCyGiPYw6lqnDn7f8yBMp6c0nbzyPN469Bbbc7fzSdYnlHpLAZiSNIVvj/42Q7sOpVdsL2IjY12OVEREpOkom5KWkZcKu96AboNgz9uw+23wV0J0Z6f//fArIPl8JfjSZKy1HMo/xIr0FazNXMu2nG1YLJ0iO3FJ/0sYEz+GhHYJpCSmEKZvjkREJEQps5LmYS2c2AlxPSBjA6z9o/MMENMZRn/FSfD7XQBh6gstTaPKX8XmE5tZlbGKj4599Hl5zKFdhnL7iNup9Fdyy/BbiG8X73KkIiIiLUPJvjQda50BtuDUwV/2UwiLBl85RHV07uCP+ZoSfGlSBRUFrMlcw8pjK1l+bDk+6yPSE8m5iefSK64X1w25jtnJs90OU0RExBVK9qVplBXAX1OgfTfIT4fKIgiPgaGXwKjrof+FSvClyRwtOMqq9FUs3L+QrOIsLJYu0V3o26Evo+NHc/+592twrYiICEr2pTGWPwTZu53Za/e/7yT4VSXOJFfDL4d+SvClaVT5q9iavZVX9r/CJ8c/oaiyCIDOUZ3p06EPvz7v14yMH4nHqCyriIhIdUr2pe7SNziz1/YYA7vfcgba+qucPvjDL1eCL02qoKKAd4+8y5sH3ySzOJPiqmI8xkOYCeOecfcwr988esT2cDtMERGRVk3JvpxZZSkc/sipknN0Jaz6f5C9y1kX0wXGXA/DLlcffGkS1loOnD7AS/te4mD+Qfac2oPP+gCY2mMqVw++mvEJ4+kQ1UF38EVEROpIyb78t/JCMB4wBlY+Ah//6T+DbGO6wJgbYORVgTKZSvClcap8VSxPW87HWR+zKXsTGcUZAMTHxHPbiNuY2nMqSe2TSIpNcjlSERGR4KRkX5wqOsZA7n74+xToPgxOHYKqUojq4JTIHHEl9J2qOvjSaLmluSxLXcbmnM2sy1xHqbcUj/EwtedUbh1xKx0jO3Jh7wuJDo92O1QREZGgp8ytLbMWXrgKPOHOXfqDH4DfCwUZMPp6GHaZZrKVRrPWsufUHtZlrWNVxip25O4AoHtMd+b1n0fHyI5clHwRw7oOczlSERGR0KMsrq3Z+gIc3wE9xzkDbI+sBOuD2EQYf7PTB7/PJNCMotIIZd4yNhzfwKqMVSw+upiSqhIARnYbyZzkOQztMpTbRtyGMcblSEVEREKbkv1Qd+owHFgCo66DA+87g2zzjwEWOvSEiXfC0Euh90TwaNCjNNyJkhOszljNmwffZPep3Vgs7cLbMajzIOIi43hg4gP0iuvldpgiIiJtipL9UOP306FgP1SeC5UlsPK3sPNVWPYz5w5+x94w5S7nDn6PcUrwpcF8fh87Tu5g0eFF/3X3vntMd5Jik/jW6G8xr988IsMiXY5URESk7VKyH2r2vcu4rT+CjKfh5H6wfujUB0Zc5dzB7zHWGYwr0gAFFQV8Wvwpj779KCeKT1DiLcGDh4iwCK4YeAW3DL+Ffh37qXuOiIhIK6FkP5R4K+HNbzk/+6rg/HudQbYJw5XgS4NYazmcf5jHdzzOvtP7OFZ0DJ/1YTAM7jyYr4/8OlN6TqFDZAe3QxUREZFaKNkPJeGRcPnf2JBayLmX3OR2NBKkyr3lvHnoTVamryStMI3M4kwA2oW347YRtxGXG8f1M64nOkKlMUVERFo7JfuhZvjllOaudDsKCTKH8g7x7/3/JrMkkw3HN1DuKwfgwp4XcvvI2xnRdQRDugzBYzysXLlSib6IiEiQULIv0gZV+apYfHQxB/MOsi5rHYfyDwGQ1C6JKwddyfCuw0lJTKFHbA+XIxUREZHGULIv0kZkFGWw/vh6Pj3+KasyVlHmLcODh5TEFO4YeQfJHZOZmzyXiLAIt0MVERGRJqJkXyRE+fw+dp7cyfrj6/kw7UP25e0DoGt0V2b2mUm78HbcMuIWesf1djlSERERaS5K9kVCSGFFIeuPr2d1xmrePfLu55VzRnQdwYTECVw18Cou7n8xHqP5FURERNoCJfsiQcxay6H8Q6zJXMPze57nVNkpLJa4yDj6dejHhKQJ3DnqTrrGdHU7VBEREXFB0Cb7xphewI+BFGA0EAP0s9am1mHfaOCXwA1AJ2Ab8GNr7eoa23kCx7gTSAT2Aw9ba19vqvchUl+lVaVsOLGBZ3Y9w86TO6n0VwLQLaYbo+JH8YPxP2BU/CjCPUH731tERESaSDBnAwOBa4HNwBrgonrs+yRwCXAfcAT4DrDUGDPZWrut2na/BO4FHggc5zrgVWPMfGvt4ka/A5E6SitM46W9L/H+0fcpqizCa71EeCKIi4zjzlF3MqPPDBLbJ7odpoiIiLQywZzsr7bWJgAYY75OHZN9Y8xo4KvAbdbapwPLVgG7gYeBSwPLuuMk+r+z1v4hsPsKY8xA4HeAkn1pNuXecpamLuW5Pc9RVFnE8ZLjAER4IpjXfx4LBixgXPdxRIZFuhypiIiItGZBm+xba/0N3PVSoAp4pdpreY0xC4H7jTFR1toKYA4QCbxQY/8XgKeMMf2stUcbGIPIFxzMO8hj2x4jpzSHA3kHPp/Y6pwu53DriFs5r8d59OnQx+UoRUREJJgEbbLfCMOBo9ba0hrLd+Mk9wMDPw8HKoBDtWwHMAxQsi8NVuGr4KmdT7Hv9D6OFBwhtTAVgA6RHbhy0JWc3+t8RncbTVxUnLuBioiISNAy1lq3Y2i0QDeeJ6jDAF1jzDKgg7V2Uo3ls4APgAustWuMMY8Dl1prE2tsNxA4CNxkrX2+xro7gDsAEhISxi9cuLBxb6yBiouLiY2NdeXYwagl22tv6V52lO0g35fPgfIDVNpKDIZzos9hWMwwkqOSSY5KbpFYGkrnV/2ovepH7VU/aq/6UXvVj9qr/txqs+nTp2+21qbUtq4t3tk3QG2fcEwDt/uctfZx4HGAlJQUO23atAaG2DgrV67ErWMHo+Zsr1Nlp3jr0FucKj/F2sy1HC1wvgzq0b4HVw6+kqFdhzKrzyw6RHVoluM3B51f9aP2qh+1V/2ovepH7VU/aq/6a41t1haT/dNAbR2fO1db/9lzZ2OMsf/99UfN7UQ+57d+VhxbQXZpNh9nfcy6zHVO5RwTwYSkCczsM5MpPaaQkpCCMWf83CgiIiLSJNpisr8buMIY065Gv/1hQCX/6aO/G4gCBvDf/faHBZ73NHegEhyyirPYe2ovm7I3sSR1CSfLTgLQM7Ync/vNZUjnIVw56MqgunsvIiIioaEtJvvvAA8B1wDPAhhjwoGvAMsClXgAluAk/18LbP+ZG4BdqsTTdlX5qzicd5jNOZtZlrqMLTlbAIj0RDKm+xgmJU3ia+d8jeHdhuvuvYiIiLgqqJN9Y8zVgR/HB54vNsbkArnW2lXGmL7AYZxZbx8GsNZuM8a8AjxqjInAqajzLaAfTmJPYLscY8wfgZ8YY4qALTgfCGYAl7XA25NWJL8inx25O1iVvorXDryGH6fya+/Y3oyJH8PlAy9nXv95xITHuBypiIiIyH8EdbIPvFrj98cCz6uAaTiDacMAT43tbgV+DfwK6ARsB+Zaa7fU2O4BoBi4B0gE9gPXWmsXNU340lr5/D5SC1NZm7mWx3c8TnFlMX78RIdF06dDH6b0mMLXhn5Nde9FRESkVQvqZN9ae9Y+EoEynF/YxlpbBvwg8Djb/j6cDwS/aniUEiyKK4v59PinPLb9MY4WHKXKXwVA1+iunJt0LrcOv5XxieOJCotyOVIRERGRugnqZF+kMfzWz/7T+3ky90nufeFevD4vPnxEhkWS1D6Jm4ffzNSeU+kR28PtUEVEREQaRMm+tCl55Xks3LeQl/a9BBbyK/MBiIuM4+rBVzOzz0zGxI8hIizC3UBFREREmoCSfQlpXr+XVemreHTLoxgMqYWpWCxhJoyJSRO5pP8lkAqXzrzU7VBFREREmpySfQk56UXpPLjuQcp95aQVplFUWQRAcodkvj3m20ztOZWhXYYS5gkDYGX6SveCFREREWlGSvYl6JV7y3lkwyOkFaZxuvw0hwsOA9A+oj0X9b2IqT2nMjFpIh2jOrocqYiIiEjLUrIvQcday0v7XmJtxloslk3Zm6jwVWAwTEqaxBWDrmBK0hQGdh6oSa1ERESkTVOyL0Hh0+Of8vK+l+kY2ZGPj3/MiZITgNM155rB1zAxcSITe0zUpFYiIiIi1SjZl1YpvSidp3c9TVxkHJuyN7EzdycWS/vw9kzuMZnbht/GBb0uoGdcT7dDFREREWm1lOxLq1BUWcQr+1/B7/ezL28fazPXUuYtw2AY2W0kt428jclJkxmfMJ5wj05bERERkbpQ1iSu8Pq9LE9bTm5ZLpnFmaxKX0VGcQYACe0SuKjvRYzpPobZfWdrYK2IiIhIAynZlxazLWcbh/MPk1eRx8eZH7MxeyMA0WHRjE8cz9x+c5nfbz79O/XXwFoRERGRJqBkX5pNemE6O0/uxGu9rMtcx9LUpfisD4DBnQdz+YDLmZ08m4lJE4kKi3I5WhEREZHQo2Rfmkx+eT6bszcTHR7Nx1kf8+bBNymqcia06hLdhfN6nscFPS9gRp8ZxLeLdzlaERERkdCnZF8arNxbzpbsLXSK6sSnJz7l3/v//Xm/+whPBEO7DmV89/HMTZ7LOV3PwWM8LkcsIiIi0rYo2Zc681s/+0/vJzIskt2ndvP6gdfZkrPl8/V94vowN3kuCwYsYELiBNW8FxEREXGZkn05q4yiDLzWS0ZRBu8deY93j7z7+bpOUZ1ISUhhXr95XNDrAhLaJ7gYqYiIiIjUpGRf/kt+eT6FlYUUVRWxOn01f9/+dwwGP34iTAQDOg1gZu+ZzOo7iyFdhqhrjoiIiEgrpmS/jSv3lnOi5ARRYVF8cvwTfrfhd3j9Xqr8VQAktk9kctJk5iTPYVzCOHXNEREREQkiSvbbGJ/fx7GiY3SL6cbGExt5ZMMj5Jblfp7cd4jsQEr3FC7ufzGTkiapao6IiIhIEFOyH+KstRwrOkZS+yR2ndzF/23+P3bk7vi8a06kJ5JBnQcxL3keU3pOYWCngZrQSkRERCREKNkPQQXeAsqqyjhecpx/7PgH7x99n+iwaMp95RgMveJ6MavPLM7vdT6j40cTGRbpdsgiIiIi0gyU7IcQr9/LP7b/g39m/pPfv/57CioKAOgc1ZkLel3Ahb0v5NzEc+kY1dHlSEVERESkJSjZDyFhJozXD7xOpIlkdPxopveezqSkSfSK6+V2aCIiIiLiAiX7IcQYw4uXvMi+jfuYMX2G2+GIiIiIiMtUJD3E9Ijtodr3IiIiIgIo2RcRERERCVlK9kVEREREQpSSfRERERGREKVkX0REREQkRCnZFxEREREJUUr2RURERERClJJ9EREREZEQpWRfRERERCREKdkXEREREQlRSvZFREREREKUkn0RERERkRClZF9EREREJEQp2RcRERERCVFK9kVEREREQpSSfRERERGREKVkX0REREQkRCnZFxEREREJUcZa63YMIckYkwukuXT4bsBJl44djNRe9aP2qh+1V/2ovepH7VU/aq/6UXvVn1tt1tdaG1/bCiX7IcgYs8lam+J2HMFC7VU/aq/6UXvVj9qrftRe9aP2qh+1V/21xjZTNx4RERERkRClZF9EREREJEQp2Q9Nj7sdQJBRe9WP2qt+1F71o/aqH7VX/ai96kftVX+trs3UZ19EREREJETpzr6IiIiISIhSsi8iIiIiEqKU7AcBY8wSY4w1xvyqDttGG2N+b4w5bowpM8Z8Yoy5oJbtPMaYnxhjUo0x5caY7caYq5rnHbSsuraXMSbFGPO4MWafMabUGHPMGPOiMaZfLdumBl6z5uPyZnsjLaSe51dtbWCNMWNqbKfzy5hfnKW9ymtsGzLnlzFm2hneS34d9m1z16+GtldbvX418vxqc9evRpxfbfL69RljzDxjzGpjTLExptAYs8kYM+NL9mm116/w5nxxaTxjzPXA6Hrs8iRwCXAfcAT4DrDUGDPZWrut2na/BO4FHgA2A9cBrxpj5ltrFzdF7G6oZ3tdBwwH/gzsBnoCPwM2GWPGWGvTa2y/FPhFjWX7Gx6t+xpwfgE8A/yzxrIDNX7X+QX/ApbUWNY+sOydWrYPtfPrbmBjtd+9ddinLV+/6ttebf361ZDzC9ru9au+7dVmr1/GmDuBvwYev8S5MT4GaPclu7be65e1Vo9W+gA6ASeA6wEL/OpLth8d2O7WasvCcf7DvVNtWXegAnioxv4fAjvcft8t2F7xtSzrC/iBh2ssTwVecPs9utlegX3q0q46v878GjcG9r2kxvKQOb+AaYH3OKue+7XJ61cj2qtNXr8a2l6Bfdvc9asx7VXLa7WF61cyUAZ8r577terrl7rxtG7/D9htrX25jttfClQBr3y2wFrrBRYCc4wxUYHFc4BI4IUa+78AjKzta+AgUa/2stbm1rIsDcjFuUsW6up7ftWVzq8zuxnIxrkLJv+trV+/6kXXr2aj8+vM2sL16zacD8z/qOd+rfr6pWS/lTLGTAVuAr5dj92GA0ettaU1lu/GObkGVtuuAjhUy3YAw+oXrfsa2F61vc5QnE/ee2tZvSDQN7bCGLM+yPsjNqa9vhVog1JjzEfGmPNrrNf5Vftr9AKmAy8G/gjUFDLnV8CLxhifMeaUMeYlY0yfL9m+zV6/AurbXl/QVq5fAQ1trzZ3/Qpo1PnVhq5fU4F9wHXGmMPGGK8x5pAx5jtfsl+rvn6pz34rZIyJwOlT+AdrbX36vHUB8mpZfrra+s+e823gu6OzbBcUGtFeNV8nHOfTfC5O37vqFuH0dzwKJAB3AW8aY2601tb8hN6qNbK9XgDeBbJwugzcB3xkjJltrV0Z2EbnV+1uxLnB8mwt60Lm/AIKgP8FVgGFwFjgf4BPjDFjrbU5Z9ivTV6/aHh7/Ze2cv2ice3V5q5fNNH5Rdu5fvUIPH6P006HgWuAvxpjwq21fzrDfq37+uV2/yg9au379VOcwR0x1ZbVpa/hB8AntSyfHdj//MDvTwDHa9luUGC7G91ug5Zor1pe5x84X8NdVIdtw3Aubuluv3+32iuwXxyQBqyttkznV+2vsxfYUsdtg/b8OsP7GYczIPCMbdZWr18Nba9a9mkT16+maq/AfiF//Wqq9mor1y+cwdoWuLLG8vdxxmyZM+zXqq9f6sbTygS+WnsAp6pClDGmkzGmU2D1Z7+HnWH309T+qbBztfWfPXc2xpgv2a7Va2R7VX+d3wJ3ALdZa5d92fbWWh/wKtDLGJPU4DfQwpqqvT5jrS0C3gMmVFus8+uLr3MucA613xX7gmA9v87EWrsF54/ohLNs1uauX2dSx/b6XFu5fp1Jfdur2n4hff06kwacX23p+nUq8PxBjeXLcL61ONP7adXXLyX7rU9/IBrn68a8ag9wSjXlASPPsO9uoJ8xpmZ5qGFAJf/pI7YbiAIG1LIdwJ6GBu+CxrQXAMaYB4D7gXustc/X49if/Wet+XVca9bo9qqF4b/bQOfXF92McyftpXocOxjPr7OpeZ7U1BavX2fzZe3lbNS2rl9nU6f2qsN+Or++qC1dv3afYfln78d/lv1a7fVLyX7rsw1nEEzNBzgJx3S+OLDjM+8AETj9y4DP+3F+BVhmra0ILF6Cc/J9rcb+NwC7rLVHG/0uWs42Gt5eGGPuBn4FPGCt/UtdDxpo12uAY9baEw2K3B3baER71WSM6YBTV/jTaot1flVjjInEqaO82NZSQeUM+wTr+VUrY0wKMJj/Pk9qaovXr1rVsb3a4vWrVnVtr1r2C/XrV63q015t8Pr1ZuB5To3lc4CMs7yf1n39crt/lB51e1CjjzDO4CIv8GCN7Rbi3G38OjATeA0oB8bV2O53geU/wKnD+3ecT6wL3H6vLdVeOBcwP05fvEk1HsOqbXd9oF1vwknurgPWBI5xndvvtQXb616c/oZfDZwzNwM7cS5c5+v8+uL/x8C6K6mlD2ionl/AizgJ6JXADOCHwEngGNDtbO3VFq9fDW2vtnr9akR7tcnrV2P+PwbWtbXrlwE+wunO803gIuDxwPu55Wzt1ZqvX643rB51/If6YnKRHFj2ixrbxQD/hzOQpBznk/u0Wl4vDGfgYRpOGagdwNVuv8+WbC+cmRTtGR4rq203KfCfPxtnAFwBsByY4/b7bOH2WgCsC/yhqApcDN8BztX5Vfv/x8C6twNtFXmG1wqp8wv4SeDfuyDwftIDfyyTvqy92uL1q6Ht1VavX41orzZ5/WrM/8fAujZ1/Qq8pw7A3wLvqTLQfl/9svZqzdcvEziwiIiIiIiEGPXZFxEREREJUUr2RURERERClJJ9EREREZEQpWRfRERERCREKdkXEREREQlRSvZFREREREKUkn0RERERkRClZF9EREREJEQp2RcRkSZnjEk2xlhjzDNuxyIi0pYp2RcRkaAU+DBRp2ngv2xbY8xgY8z/GWO2GGNOG2OqAs+fGmP+YIwZ/yWvn2KMedoYc8QYU2aMKTTG7DTG/N4Y07O+701EpKkYa+t0nRQRkVbEGDMEuAG4HwgH9gB/Ap601vrcjA3AGBMBDAAKrLXHm+kYFsBaaxq6rTHGAA8GHh5gC7ABOA3EAaOAyUAkcJe19m+17P874EeAF/gA2BnYfgpwLlAK3Gytfa2Bb1VEpMGU7IuIBDFjTC7QDRhurd3jdjwtqYmS/Z8DvwDSgeuttetq2bc78D2g2Fr7mxrrHgQeAlKB+dba3TXWXwW8AEQAs621K+r27kREmoaSfRGRIGWM6YWTpB6w1g5xO57qjDHJwFHgWWvtLTWX4STYvwNmAbHALuAX1tp363GMRiX7xpj+wH7AD4yrmajX8hrh1lpvtd+TgYOABcZba3eeYb9vAn8PHGuYtdb/ZfGKiDQV9dkXEQleFwWe3wcwxvR1MZb66IvTVSYZeB54BRgBvG2Mmd6CcdyK0wXqtS9L9AGqJ/o19n/zTIl+wL+ALGAIcGEDYxURaRAl+yIiweviwPN6Y8yjwC3uhVIv04C/WWsnWWu/b629GbgM52/SfS0Yx3mB548auP/UwPPys20U+JCwssYxRURaRLjbAYiISP0ZY8JwusCAc4f5Z9baDS6GVB9pwK+qL7DWLjXGHMMZ0NpSEgPPmTVXBLro3FJjcb619tFqvycFntPrcKzPtulR9/BERBpPyb6ISJAJJPo/Bjrh3FWea4NrANa2M1QMSsepfNNSPuu/X1vbJQM/r7EsDXi0jvvX51giIs1G3XhERIJIYFDu+8DlgUWLgizRB8g/w3IvLft36bOSoF+og2+tXWmtNYEBvRFfsn+fOhyrV419RERahJJ9EZHgEglcjZMYAyx1MZZg91mZzZkN3H9t4HnW2TYKfBMzrcYxRURahJJ9EZEgYq09gnPtPhdIs9bur207Y8zVxpi+xpjHjDErjDE9jTG/NcZkGWO6VttuvjHmf4wxPwrMFDvOGLPHGJMSWN/eGPOrwM/djTEHjTGh0gX0GZwPTVcbY4Y2cH8fcIUxZvhZtrsNp6/+fmBVA44jItJgSvZFRILPTCAMWFbbSmNMZ+Ama20aUARsB2bg9EHvgpOgYoz5FvB14Lc4s7xGWWu34MwiOybwct8ncFfaWpsDvFJLCcqgZK09jDNQOBJ43xgz5QybdjrD/keA3+B083nHGDOs5jbGmMtxZjb2Ad9WjX0RaWmhcndGRKQtuTTwvLfmisAd6qeBRYFFc3DuJr8AXADssNbmG2MGAn/EKd95HxDHf8peHgD6G2OmAptxqv18VqHmrGUm3WCMeeYsq79trS09y/qHcQbP/gxYZ4zZjDMHwGmcJD+Z/3TTWV3L/r8A2gM/ALYbY5YCu3E+AEwBJgJlOLPzNrTEp4hIgynZFxEJEsaYOOCHwFcDi35rjPkKUIJzdzoBGBRYd6sxJhEYDnzVWmuNMRcDiwPrr8H5sFAB/NlaW17tUDk4kz+NAJ4EEo0xMcA0a+0zzfX+GuHms6z7Hs63FrUKDG7+hTHmZeCbwHSc9m2P863IYZzZb58PfOtRc38/8ENjzCvAd3A+UM3EuZOfCvwv8Ki1NqPe70pEpAmY4CviICIidWGMuQUn0b8o8PtWnIS0AlgAXGCtnRFYNxnYaq0tN8Zcj9O1Z5i1ttQYkws8AvzJWlvlwlsREZEGUp99EZHQNRd4vdrvMcB8YBfwBBBnjFkUGIDrrXZ3Pw/4QbXuL+8DTyvRFxEJPrqzLyIiIiISonRnX0REREQkRCnZFxEREREJUUr2RURERERClJJ9EREREZEQpWRfRERERCREKdkXEREREQlRSvZFREREREKUkn0RERERkRD1/wHZwol2iw0zowAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title('Contribution of new detector: change in SNR, F=1')\n", "plt.ylabel(r'$\\sqrt{\\rho_0^2 +\\rho_{new}^2} - \\rho_0$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) \n", " metric = newnet - rho0\n", "\n", " plt.plot(rho,metric, \n", " label = r'$\\rho_0=$'+str(rho0)+\" \"+refname,\n", " color = colorlist[i])\n", "\n", " # Scales like rho_new^2 for rho_new << rho_0\n", " # plt.plot(rho, 0.5*rho*rho / rho0, linestyle='dotted', color=colorlist[i])\n", "\n", " # Linear fit on a log-log plot gives power-law scaling\n", " fit = np.polyfit(np.log(rho),np.log(metric), 1)\n", "\n", " # Show fit on plot, label with power\n", " plt.plot(rho, np.exp(np.poly1d(fit)(np.log(rho))), \n", " label = r'$\\propto L_{new}^\\alpha, \\alpha=$'+str(np.round(fit[0],2)),\n", " linestyle='dotted', color = colorlist[i])\n", "lgd=ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('delta-network-snr',bbox_extra_artists=(lgd,), bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": { "id": "92eJoEaobho1" }, "source": [ "What is the impact of a given change $\\Delta \\rho_\\text{net}$ in network sensitivity on science goals?\n", "\n", "For a given signal, our new network records improved signal strength $\\rho_{net}$\n", "\n", "This translates to measurement improvements: source properties are recovered with variances $\\sigma^2 \\propto 1/ \\rho_{net}^2$\n", "\n", "With a joint detection threshold, the increase in network SNR for each signal\n", "means a larger horizon: $D_{H} \\propto \\rho_{net}$\n" ] }, { "cell_type": "markdown", "metadata": { "id": "TZxE0mlSVyaJ" }, "source": [ "# Impact of new detector on number of loud signals" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "2Xu03oRS4Vec" }, "source": [ "Science metric: Number of loud signals\n", "\n", "The metric for some population-level science goals will be proportional to number of signals observed with network SNR above a fiducial value, where signals are in nearby universe (see cosmology below for limitations of this scaling). \n", "So we expect\n", "$N_0 \\propto V_0 \\propto A_0^3 \\propto \\rho_0^3$. \n", "Write resulting change $V - V_0$ in units of $V_{LIGO}$. These would scale also with $F^3$.\n", "\n", "This metric would apply to sources with uniform volumetric distribution in the relevant distance range.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "MN7N6VecbpSx", "outputId": "5d0275d2-7f97-4c5b-ec0e-72d1804c589c" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title('Number of nearby signals above given SNR')\n", "plt.ylabel(r'$V_{net}$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " vol0 = np.power(rho0,3) # in units of LHO\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) # in units of LHO\n", " newvol = np.power(newnet,3) # in units of LHO\n", " plt.plot(rho,newvol, \n", " label = r'$\\rho_0=$'+str(rho0)+\" \"+refname,\n", " color = colorlist[i])\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('nearby-signals', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 518 }, "id": "6DQU3K8JcyZv", "outputId": "0a0f94bf-6a86-4d42-a665-8372ac59dc00" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title('Added number of loud signals')\n", "plt.ylabel(r'$V_{net} - V_0$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " vol0 = np.power(rho0,3) # in units of LHO\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) # in units of LHO\n", " newvol = np.power(newnet,3) # in units of LHO\n", " plt.plot(rho,newvol - vol0, \n", " label = r'$\\rho_0=$'+str(rho0)+\" \"+refname+r', $V_0=$'+str(vol0)+\" \"+refname,\n", " color = colorlist[i])\n", " # Linear fit on a log-log plot gives power-law scaling\n", " fit = np.polyfit(np.log(rho),np.log(newvol - vol0),1)\n", " # Show fit on plot, label with power\n", " plt.plot(rho, np.exp(np.poly1d(fit)(np.log(rho))), \n", " label = r'$\\propto L_{new}^\\alpha, \\alpha=$'+str(np.round(fit[0],2)),\n", " linestyle='dotted', color = colorlist[i])\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('delta-nearby-signals', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": { "id": "M_PLNUwuBtFU" }, "source": [ "# Cosmological horizons in distance and impact on sensitive volume" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "DZcUdOV5bsfP" }, "source": [ "\n", "The total volume of universe that the observatory can observe can be found by integrating differential comoving volume $ dV_c / d z$ versus redshift $z$ out to thehorizon redshift $z_H$.\n", "The rate of events must also be scaled from a local comoving rate $\\dot{n}$ to the rate in the observer frame.\n", "This gives total observed event rates $\\propto$ local rate $\\times$ differential volume $\\times$ inverse scale factor $\\times$ detection probability[\\url{https://arxiv.org/abs/1904.10976}]\n", "\n", "\\begin{align}\n", "R_D(z) = \\frac{dV_c}{dZ}\\frac{\\dot{n}}{1+z}P_{det}(z)\n", "\\end{align}\n", "\n", "\n", "We assume a instant-off threshold for $P_{det}(z)$ at the the horizon redshift $z(D_H)$, and define $VT$ to scale like the observe rate if there was a constant comoving rate $\\dot{n}$. \n", "The $VT$ as a function of $D_H$ is therefore given by integrating differential comoving volume divided by $1+z$ out to redshift $z(D_H)$. For nearby sources, this is as above $\\propto D_H^3$. However, for cosmological distances this scaling breaks down, as shown in Figure \\ref{fig:VT-not-cubic}.\n", "\n", "Since the scaling depends on the horizon, we need to map between the length scale of the proposed facility under consideration. This requires a more concrete estimate for the $F$ above. \n", "\n", "For the reference sources here, we estimate the frequency factor $F$ from prior results for the horizon distance of different observatories,\n", "We use Cosmic Explorer (CE) in the horizon study as the representative instrumental configuration comparable to LIGO,\n", "a detector length of $10 L_{LIGO}$\n", "should give the horizon improvement from A+ to CE in horizon study, from $z_{APLUS}$ to $z_{CE}$\n", "\n", "If we estimate the improvement in horizon purely from length scaling we expect $10 L_{LIGO}$ to give a horizon luminosity distance of $10 D_{H,LIGO}$. We set $F$ so that\n", "$ z(F \\times 10 D_{H,LIGO}) = z_{CE}$.\n", "\n", "For sources at cosmological distance, the $F$ will change slightly across the range of candidate $L_\\text{new}$ due to varying the redshift of the horizon source signal. We neglect this effect in this version of the scaling estimate and hold $F$ constant across proposed XG facilities.\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "id": "ShrY6fAtur1C" }, "outputs": [], "source": [ "# Set up cosmological properties\n", "redshift_basevals = np.logspace(-2,2,100) \n", "\n", "# documentation of these are at e.g. \n", "# https://docs.astropy.org/en/stable/api/astropy.cosmology.FLRW.html#astropy.cosmology.FLRW.comoving_volume\n", "lumdist_basevals = cosmo.luminosity_distance(redshift_basevals).value # use .value to strip of astropy units for plotting\n", "scale_factor_basevals = cosmo.scale_factor(redshift_basevals) # needed if we want to apply local rates because TIME IS WIBBLY WOBBLY TOO\n", "diff_Vc_basevals = 4.0 * np.pi * cosmo.differential_comoving_volume(redshift_basevals).value # differential volume: added volume per unit z\n", "vol_basevals = cosmo.comoving_volume(redshift_basevals).value #volume inside redshifts\n", "\n", "# Recommended reference for distance measures etc https://arxiv.org/abs/astro-ph/9905116 \n", "\n", "def lum_to_z(x):\n", " return np.interp(x,lumdist_basevals,redshift_basevals)\n", "\n", "def z_to_lum(x):\n", " # the left and right extension allows this to be used for secondary axis plotting\n", " return np.interp(x,redshift_basevals,lumdist_basevals,left=redshift_basevals[0]/10,right=lumdist_basevals[-1]*10)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 619 }, "id": "GqNe3baA6Pxg", "outputId": "ebdf7ffa-35d9-4d89-9684-18ef307cd621" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(layout='constrained')\n", "plt.loglog(lumdist_basevals,vol_basevals, label = 'Cosmological comoving volume')\n", "plt.loglog(lumdist_basevals, 4.0 / 3 * np.pi * np.power(lumdist_basevals,3), label = r'$\\frac{4}{3} \\pi D_L^3$')\n", "plt.xlabel(\"Luminosity distance $D_{L}$\")\n", "plt.ylabel(\"Comoving volume (Mpc$^3$)\")\n", "plt.ylim(3e6, 1e16)\n", "secax = ax.secondary_xaxis('top', functions=(lum_to_z, z_to_lum))\n", "secax.set_xlabel('Redshift $z$')\n", "plt.legend()\n", "#plt.title( 'Where will the cube scaling for V break down?')\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 619 }, "id": "f95B9jXphjKb", "outputId": "b80dd714-4d49-455c-da2a-a612b8967203" }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Check: integrate V')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(layout='constrained')\n", "plt.loglog(lumdist_basevals,vol_basevals, label = 'Cosmological comoving volume')\n", "integrated_volume = [integrate.simpson(diff_Vc_basevals[:i+1], redshift_basevals[:i+1]) for i in range(len(redshift_basevals)-1)]\n", "plt.loglog(lumdist_basevals[:-1],integrated_volume, label = 'Numerical integration')\n", "plt.xlabel(\"Luminosity distance $D_{L}$\")\n", "plt.ylabel(\"Comoving volume (Mpc$^3$)\")\n", "plt.ylim(3e6, 1e16)\n", "secax = ax.secondary_xaxis('top', functions=(lum_to_z, z_to_lum))\n", "secax.set_xlabel('Redshift $z$')\n", "plt.legend()\n", "plt.title( 'Check: integrate V')\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 657 }, "id": "PAKXPuJzhhrO", "outputId": "697e1892-d8f4-40ce-e641-db83a393847d" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2gAAAJICAYAAAAUzce/AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAABlN0lEQVR4nO3dd3yV5f3/8fcnmxn2XgICKqIIAmpV3KPFUUfdG7T+tPXb1ra2trXVTm1tbV24UNyzSutoq+IWARkKguw9AgkZhOzP749zojEmJCeck/uM1/PxOI87576v+z6fE66T5M1139dt7i4AAAAAQPDSgi4AAAAAABBCQAMAAACAOEFAAwAAAIA4QUADAAAAgDhBQAMAAACAOEFAAwAAAIA4QUADAAAAgDhBQAMApAwzW21mq1u47yAzczObFo32ZvY9M1tsZrvC7a5rSV0AgORCQAMAtIpwCKn7qDazfDObaWaXmJkFXWNrMbNzJP1NUpmkv0r6taQPIw2BAIDkkxF0AQCAlPPr8DJT0lBJp0s6UtJYSdcEVVQMbJC0j6TCBrZ9q3bp7htrV5rZoFaoCwAQxwhoAIBW5e431X1uZodJelvS1Wb2Z3dfFUhhUebulZKWNLK5T7jNxka2AwBSFKc4AgAC5e7vKRRkTNKY+tvNbLyZPWtmm82swszWmdm9ZtanoeNZyDVmtsjMysxsg5n9w8xyG2l/ipm9bmabzKzczDaa2VtmdnVjNYdPRXzSzLaFX2OOmX2rgTZfOV3RzG4yM5d0VPh53VM+b5JUG04vrrftkt18CwEASYQRNABAPKi9/qzyKyvNLpV0n6RySS9JWidpb0lXSJpkZhPcfW29Y/1V0vckbZI0NXzMUyWNl5QlqaLO8adIulfSZkkzJG2T1EPSKEmXSrqrgVoHSvpI0kpJ0yV1kfQdSS+a2bHu/uZu3ufM8PKS8HF+XW9bJ0nfl7RA0j/rbJu/m2MCAJKIuXvQNQAAUkB45EjubvXWHyHpTUlVkga5+6bw+mGSPpW0VtKR7r6hzj5HS/qvpJfc/fQ66w+V9J6kFZLGuXt+eH1O+DUmSFrj7oPC6+dKGimpv7tvrVdXN3ffVuf5IH05wnWTu/+6zrYTJL0q6RV3P7le+4fd/ZJ6x54Zfk/1vxeN7rM7ZnaQpLkNbDrf3R9v7nEAAMFjBA0A0KrCp/JJX50kxCT9qDachX033Ob7dcOZJLn7G2b2kkKjaB3cvTi86dLw8re14SzcvszMblAopNVXpXojd+F9tjXQVpLWSLqlXtvXzGytpHGN7BNrRyo0wco8STWS9pI0gXAGAImHgAYAaG2/qvfcJV3u7g/VW39IeHmkmR3cwHF6SEqXNExfjh4dFF6+1UD7dxQKY3U9JunPkhaZ2VPh/d5z97zd1D/f3asbWL+uTs2t7U13ny9JZtZG0oWS/i+gWgAAe4CABgBoVbWn9ZlZO4UCzQOS7jGzNe7+Rp2mXcPL65s4ZPs6X9dOBLKlgdetNrPt9db9xcy2SbpaoevWrpPkZvaWpOvdfU4Dr7ejkTqqFNDkW7XhLOxXCo0gVjTSHAAQx5jFEQAQCHff6e7/kzRJoZGwh82sbZ0mtfcPy3V3283jrQb26Vn/9cwsXV+Gvrp1POLuE8LbvqlQYDxC0mtm1mOP32grMrMrJL3M9P0AkLgIaACAQLn7QoVmauynr56W92F4eXgEh/s4vDyygW2Hazdnjrj7Dnd/2d0nS5qm0OyMkbx2NNSeOpke6Y5mNl5Shru/Hd2SAACtiYAGAIgHt0gqk/QjM+scXvcPhSbvuD08o+NXmFmWmdUPUNPCy5+bWZc6bXMk/b6BY5xoZg2FttqRs9KI3sWeK1DomrwBkexkZt0lfdvd74lJVQCAVsM1aACAwLn7BjO7V6F7gP1Y0g3uvsTMLpP0oEKTeLwq6XOFZnYcoNDoVp6kEXWO856Z/V3StZI+NbNn9eV90AoUujdaXU9KKjOzdyWtVmg2ycMlHazQxCP/i807bpi7l5jZLEmHm9ljCr3faoVuJ7CwoX3Cp24+IulvrVcpACBWGEEDAMSL3ys0YvU9M+spSe7+qKQxCs22OEqhqeQvUGh6/mcVmtyjvu8rFNAKJV0p6VxJr0k6VnVuUh32U0kfKDT749UKTdOfKeknko5y969Nv98KLpT0b0knKjThx836cnbKhvwu3PYVM3ugdqWZXWdm7RvfDQAQj7hRNQAACczMRkgqViiM/p+kGyRNlZQvaby7LwqwPABAhAhoAAAkCTPrptANvkslbXb3xwIuCQAQIQIaAAAAAMQJrkEDAAAAgDhBQAMAAACAOEFAawEzyzGzf5rZZ2Y238xeM7PBQdcFtJSZ/czMlppZjZmdFnQ9QLwwsyFm9q6ZfW5m88xsbNA1AYmI3zNIRS3NDAS0lrvb3fdx9wMlzZB0f8D1AHvidUknS3o76EKAOHOPpGnuPkyh+7M9ZmYWcE1AIuL3DFJVxJkhKQKamfUzs7+b2QdmVmpmbmaDGmnb38yeNbNCMysys+fNbEAkr+fuZe7+Wp1VH0piBA1R0dr9WZLcfZa7r9jj4oGARfPzY2bdJU2Q9LAkuft/w5vGxPp9AEGL9u8ifs8gUUSz77c0MyRFQFPohqVnSyqQ9E5jjcysraQ3JI2QdLFCNwPdW9KbZtZuD17/Wkkv7sH+QF1B92cgkUXz8zNA0sZ6N6teE14PJDt+FyFVxbLvNyszZERYcLx62917SpKZXSHp+EbaTVYotQ539+Xh9gslLVPoBp9/Ca/7WI3/Ah7t7utqn5jZDZKGSTomCu8DkALsz0ASiOrnpwGc3ohUEevPEhCvYtL3I8kMSTGC5u41zWx6iqQPa7+J4X1XSXpP0ql11h3k7t0aedQNZz+SdIakk9y9NDrvBqkuqP4MJIMof37WSupjZpl19hsYXg8ktWj/LgISRSz6fqSZISkCWgT2k/RpA+sXSdo3kgOZ2Q8knSvpOHffseelARGLWn8GUlCTnx93z5P0kaRLJMnMjlNoBG1u65QIJAR+FyFVNavvtyQzpFpA66LQ+aT15Uvq3NyDmFk/SX+W1Emh80znm9mcqFQINF9U+rMkmdmNZrZe0iGS7jez9WbWKwo1AvGquZ+fqyRdamafS7pV0vnu7q1QH5AomvVZ4vcMklCTfb+lmSFZrkGLREO/WCO6psDd10e6DxAje9yfJcndb5F0y56XAySUJj8/7r5M0qGtUw6QsJrzWeL3DJLRbvt+SzNDqo2gFSiUduvrrIYTMBDP6M9Ay/H5AaKDzxJSVcz6fqoFtEUKnS9a376SFrdyLcCeoj8DLcfnB4gOPktIVTHr+6kW0F6SNMHMvrhBXPjGc4eFtwGJhP4MtByfHyA6+CwhVcWs71uyXOtsZmeGvzxGoYu6r5aUJynP3d8Kt2knaYGkXZJuVOi80ZsldZA0yt1LWrtuoCH0Z6Dl+PwA0cFnCakq6L6fTAGtsTfylrtPrNNugKTbJdVOl/y6pOvcfXWsawSai/4MtByfHyA6+CwhVQXd95MmoAEAAABAoku1a9AAAAAAIG4R0AAAAAAgThDQAAAAACBOENAAAAAAIE4Q0AAAAAAgThDQAAAAACBOENAAAAAAIE4Q0MLMbErQNQDRQn8Gmo/PC7Dn+BwhVcWi7xPQvpR0P1jMbFIyvn60jtvS47Rkv+buE8V2SdefGxJ0H6+rtWqJ9utE43jx+FmKsG1KfF52J54+S3Wl6ueqtT5TUf7dlDKfo3j5vMS6jqD/3mrJvrH4HRHE31wEtOQW9A+QWL1+tI7b0uO0ZL/m7hPtdskunr4PrVVLtF8nGseLx89SS4+fquL1e5Wqn6vW+kzxO6dl4uX7Ees6gv57qyX7xuJ3RKv/e5u7t/ZrxqWMjAzPzs4Ouoyoqq6uVnp6ety+fpcuXZSfnx/148b6OC3Zr7n7RKtdVVWVMjIyIqoxEe1JX2hp/4tFLUG+TjSOF4+fpUjatvbnJdp9LxqC/n3RmFT9XMXqM1W/70Xzd1Oq/N6R4ufzEus6ov33Vkt+9kVaQyx+RzTVrrS0tNrdo9r5U+OT1AwHHnig5syZE3QZKWXmzJmaOHFi0GUgRdH/EBT6HoJC30OQkrX/mdn8aB+TUxwBAAAAIE4Q0AAAAAAgThDQAAAAACBOENAAAAAAIE4Q0AAAAAAgThDQAAAAACBOENAAAAAAIE5wHzQAAAAASa2wsFDbtm1TRUXFbtulp6erQ4cO6tKli7Kzs1upuq8ioAEAAABIWmVlZdqyZYv69eunNm3ayMwabOfuqqysVFFRkdauXasBAwYEEtI4xREAAABA0srLy1P37t3Vtm3bRsOZJJmZsrKy1K1bN3Xu3Fn5+fmtWOWXCGgAAAAAklZZWZnat28f0T4dO3ZUcXFxjCraPQIaAAAAgKRVVVWljIzIruzKzMxUdXV1jCraPQIaAAAAgKS2u1Mbo9E+mghoAAAAABAnki6gmVmOmf3TzD4zs/lm9pqZDQ66LgAAAABoStIFtLC73X0fdz9Q0gxJ9wdcDwAAAAA0KS4Cmpn1M7O/m9kHZlZqZm5mgxpp29/MnjWzQjMrMrPnzWxA7XZ3L3P31+rs8qEkRtAAAAAAxL24CGiShko6W1KBpHcaa2RmbSW9IWmEpIslXShpb0lvmlm7Rna7VtKLUa0WAAAAAGIgXgLa2+7e091PlvTMbtpNVmg07DR3/6e7vyjpFEkDJV1Zv7GZ3SBpmKQbYlAzAAAAgFayubBMj81aI3ePeN9I92nJa0RLXAQ0d69pZtNTJH3o7svr7LtK0nuSTq3b0Mx+JOkMSSe5e2m0agUAAADQusqrqvXdx+bqt//+TJsKyyLaNzMzU7t27Ypon127dik7OzuifaLFgkyHDTGzKyTdJ2kvd19db9tmSS+6+5X11t8l6Sx37x5+/gNJ50s61t0LdvNaUyRNkaSePXuOefLJJ6P5VtCEkpKSiO/qDkQL/Q9Boe8hKPQ9BGlP+9/Di8r15roq/b8Ds3Vwr8huOp2enq6OHTuqb9++ysrKavQeZ+6u6upqlZaWatu2bSoqKmryZtVHHXXUXHcfG1FBTYjs3QWvi0LXqdWXL6mzFJpwRNKfJa1U6No0Sapq6Bvn7lMlTZWksWPH+sSJE2NTNRo0c+ZM8T1HUOh/CAp9D0Gh7yFIe9L/np69Tm+uW6irjhyi608a0aJjFBUVaevWraqsrNxtu4yMDOXk5Gj48OHKyclp0WvtqUQLaJLU0JDfFzHY3dfXfQ4AAAAgMS1Yt0M3vvipvjG0m64/YXiLj9OxY0d17NgxipXFTlxcgxaBAoVG0errrIZH1gAAAAAkoG0l5fruo3PVvX22/n7uaKWnpcYYTKKNoC2StF8D6/eVtLiVawEAAAAQA1XVNbrm8Y+1fWeFnvvuoercLivoklpNoo2gvSRpgpl9cePp8A2tDwtvAwAAAJDg/vjqEn24Ml+/O31/jeybG3Q5rSpuRtDM7Mzwl2PCy5PMLE9Snru/FV53n6RrJL1oZjcqdD3azZLWSbq3NesFAAAAEH0vLdio+95ZpYsPGagzxvQLupxWFzcBTV+/QfVd4eVbkiZKkrvvNLOjJd0uabpCk4G8Luk6dy9ppToBAAAAxMCSzUX6ybMLNXZgZ/38m/sGXU4g4iaguXuzrvpz97UK3YAaAAAAQJIoLK3UlEfmqkNOhu46/yBlZSTa1VjRETcBDQAAAEBqqq5xff+pedpUuEtPTjlEPToGcw+yeJCasbQOM5tkZlMLCwuDLgUAAABISX/93+eauTRPv5q0n8YM7Bx0OYFK+YDm7jPcfUpubmrNDgMAAADEg9cWbdbf31ius8f20/njBwRdTuBSPqABAAAACMbyrSX64dMLdEC/XP3m1JEyS42bUe8OAQ0AAABAqysuq9SV0+coOyNNd18wRjmZ6UGXFBeYJAQAAABAq6qpcf3w6QVavb1Uj10xXn06tQm6pLjBCBoAAACAVnXXzOX6z+It+tnJ+2jC4K5BlxNXCGgAAAAAWs2bS7fqz//9XKce2EeXHTYo6HLiDgENAAAAQKtYvW2nvv/EPI3o1VF/+PYoJgVpAAENAAAAQMztLK/SldPnKi3NNPXCMWqTxaQgDSGgAQAAAIgpd9ePn1uoZVuL9fdzR6t/l7ZBlxS3mMURAAAAQEy9srpS/166STecNEKH79096HLiWsqPoJnZJDObWlhYGHQpAAAAQNJ5Z1menllaqW+O6q0pRwwOupy4l/IBzd1nuPuU3NzcoEsBAAAAksq6/FJd+8Q89W1v+tMZTArSHCkf0AAAAABE366Kal05fa5qalzXjs5Ru2yurmoOAhoAAACAqHJ33fD8Qn22uUh/O3e0erYjdjQX3ykAAAAAUfXAu6v0z/kb9cPjhumo4T2CLiehENAAAAAARM37y7fp968s0Yn79dL/O2po0OUkHAIaAAAAgKhYX1Cq//f4xxrcrZ1uO/sAJgVpAQIaAAAAgD1WOylIVY1r6kVj1Z5JQVqE7xoAAACAPVI7KcjiTUV64OKx2qtbu6BLSliMoAEAAADYIw++t1r/nL9RPzh2mI4e0TPochIaAQ0AAABAi72/Ypt+9/JnOmG/nkwKEgUENAAAAAAtsr6gVNc8Pk97dWunP599oNLSmBRkT6V8QDOzSWY2tbCwMOhSAAAAgIRROylIZXWNpl44hklBoiTlA5q7z3D3Kbm5uUGXAgAAACSEupOC/O2cAzW4e/ugS0oaKR/QAAAAAETmgXdXMSlIjBDQAAAAADTbe8tDk4KcuF8vJgWJAQIaAAAAgGZZl1+qax7/WEO6t9dtZx/ApCAxQEADAAAA0KRdFdWaMn2uqmpcUy8ay6QgMcJ3FQAAAMBuubt+/NxCLdlcpAcvOVh7dWsXdElJixE0AAAAALt13zsrNWPBRv3o+OE6aniPoMtJagQ0AAAAAI16Z1me/vDKEp28fy9dPXFI0OUkPQIaAAAAgAat3V6qax6fp717dNCtZx4gMyYFiTUCGgAAAICv2VlepSnT50iSpl40Ru2YFKRVENAAAAAAfIW76/pnF+jzLcX6+7mjNbArk4K0FgIaAAAAgK+4a+YKvfzJZv30pBE6Ylj3oMtJKQQ0AAAAAF94c8lW3fafpTrlgD6afPjgoMtJOQQ0AAAAAJKklXkl+t6T87Rv74764xmjmBQkACkf0MxskplNLSwsDLoUAAAAIDDFZZWaMn2uMtPTdO+FY9QmKz3oklJSygc0d5/h7lNyc3ODLgUAAAAIRE2N6wdPL9CqbTt153kHqV/ntkGXlLJSPqABAAAAqe5vry/Tfxdv0S++uY8OGdI16HJSGgENAAAASGGvfrpZf3t9mc4c008XHzoo6HJSHgENAAAASFGfbynWD5+erwP6d9Itp41kUpA4QEADAAAAUtCO0gpNfmSO2mZnaOqFY5STyaQg8YCABgAAAKSYquoaXfvEPG3aUaZ7Lhijnh1zgi4JYRlBFwAAAACgdf3ptaV6Z9k2/fGM/TVmYOegy0EdjKABAAAAKeSf8zZo6tsrddEhA/WdgwcEXQ7qIaABAAAAKeKT9YX6yXMLNX6vLvrFt/YNuhw0gIAGAAAApIC84nJNmT5H3dpn667zD1JmOlEgHnENGgAAAJDkKqpqdPVjc1VQWqFnrzpUXdtnB10SGkFAAwAAAJLcTTMWafbqAt1x7miN7JsbdDnYDcY1AQAAgCT26Idr9PistfruxCE65YA+QZeDJhDQAAAAgCQ1a+V23fTSIh09ood+dPzwoMtBMxDQAAAAgCS0vqBUVz/2sQZ0bau/nnOg0tMs6JLQDAQ0AAAAIMnsqqjWlEfmqqK6RvddNFYdczKDLgnNlPIBzcwmmdnUwsLCoEsBAAAA9pi76/pnF+izzUW649zRGtK9fdAlIQIpH9DcfYa7T8nNZTYbAAAAJL6731qhfy3cpJ+cOEJHDe8RdDmIUMoHNAAAACBZvP7ZFt362lKdckAfXXnE4KDLQQsQ0AAAAIAksHxrsb7/5Hzt16ej/njGKJkxKUgiIqABAAAACa6wtFJXPDxHOZnpmnrhWLXJSg+6JLQQAQ0AAABIYFXVNbrmiY+1Yccu3XPBQerTqU3QJWEPZARdAAAAAICW+8MrS/TOsm364xn7a+ygLkGXgz3ECBoAAACQoJ6bu173v7tKlxw6SN85eEDQ5SAKCGgAAABAApq3tkA3vPCJDh3SVT//5j5Bl4MoIaABAAAACWZLUZmunD5XvTrm6M7zDlJmOn/WJwv+JQEAAIAEUlZZrSnT56qkvEr3XTRWndtlBV0SoohJQgAAAIAE4e762fOfaMG6HbrngjEa3qtD0CUhyhhBAwAAABLEfe+s1PPzNuiHxw3TiSN7BV0OYoCABgAAACSAN5ds1e9fWaJv7t9b1xw9NOhyECMENAAAACDOLd9aou89MU/79u6oW88aJTMLuiTECAENAAAAiGOFpZWa/MgcZWemaepFY9U2i2kkkhn/ugAAAECcqqqu0TVPfKz1BaV6YvIE9e3UJuiSEGMENAAAACBO/f6VJXpn2Tb96YxRGjuoS9DloBVwiiMAAAAQh56es04PvLtKlx42SGcf3D/octBKCGgAAABAnJm7Jl83vvCpvjG0m35+8j5Bl4NWREADAAAA4siGHbt05fS56tu5je487yBlpPMneypJ+X9tM5tkZlMLCwuDLgUAAAAprrSiSpMfnqPyyhrdd9FY5bbNDLoktLKUD2juPsPdp+Tm5gZdCgAAAFJYTY3rR88s0JLNRbrjvNEa2qN90CUhACkf0AAAAIB4cMcby/TyJ5t1w0n76KjhPYIuBwEhoAEAAAAB+/fCTfrr/5bpzDH9dMXhewVdDgJEQAMAAAAC9OmGQv3wmfk6aEAn/fb0kTKzoEtCgAhoAAAAQEDyiss15ZE56tw2S/dcOEbZGelBl4SAZQRdAAAAAJCKyquqddWjc5VfWqFnrzpUPTrkBF0S4gABDQAAAGhl7q4bnv9Ec9cU6M7zDtLIvswojhBOcQQAAABa2X3vrNTzH2/QdcfurW+O6h10OYgjBDQAAACgFb3+2Rb9/pUl+ub+vfW9o/cOuhzEGQIaAAAA0EqWbi7W956Yp/36dNRtZx2gtDRmbMRXEdAAAACAVpC/s0JXPDJbbbMzdN9FY9Umixkb8XVMEgIAAADEWEVVja56dK62FJXrqSkT1Du3TdAlIU4xggYAAADEkLvrly9+qo9W5evWM0dp9IDOQZeEOEZAAwAAAGLoofdW68nZ6/T/jhqiUw/sG3Q5iHMENAAAACBGZi7dqlv+vVjH79tTPzxueNDlIAEQ0AAAAIAYWL61WNc+Pk/De3XU7d85kBkb0SwENAAAACDKCnZW6PKH5yg7M133XzxW7bKZmw/NQ08BAAAAoqh2xsZNhWV6YvIE9e3EjI1oPkbQAAAAgChxd/3qpU81a1W+/nTGKI0ZyIyNiAwBDQAAAIiSh95brSc+Cs3YeNpoZmxE5AhoAAAAQBS8GZ6x8YT9mLERLUdAAwAAAPbQsi3F+t7j8zSCGRuxhwhoAAAAwB7IrzdjY9ss5uFDy9F7AAAAgBaqqKrRVdPnanNRmZ6aMkF9mLERe4gRNAAAAKAF3F0/f+ETfbQ6X7eddYBGD2DGRuy5lA9oZjbJzKYWFhYGXQoAAAASyNS3V+qZuev1/WP21ikH9Am6HCSJlA9o7j7D3afk5uYGXQoAAAASxH8Xb9EfXl2ib43qreuO3TvocpBEUj6gAQAAAJFYtLFQ339ynkb1zdVtZx0gM2ZsRPQQ0AAAAIBm2lpcpskPz1Fum0zdd9FY5WSmB10SkgyzOAIAAADNUFZZrSmPzFVBaaWeueoQ9eiYE3RJSEIENAAAAKAJ7q4fP7tQC9bv0D0XjNHIvsxfgNjgFEcAAACgCX97fZleWrBRPz5hhE7Yr1fQ5SCJEdAAAACA3Xhx/gb99X/LdNaYfrrqyMFBl4MkR0ADAAAAGjF3TYGuf3ahxu3VRb89fX9mbETMEdAAAACABqzLL9WV0+eod26O7r1gjLIy+NMZscckIQAAAEA9xWWVuuLhOaqoqtFTVx6szu2ygi4JKYKABgAAANRRVV2ja5+YpxV5JXr4snEa0r190CUhhRDQAAAAgDpu+fdnmrk0T7//9v46bGi3oMtBiuFEWgAAACBs+gerNe391briG3vp3HEDgi4HKYiABgAAAEiauXSrbpqxWMeM6KEbTt4n6HKQoghoAAAASHlLNxfrmsfnaXjPDrrj3NFKT2M6fQSDgAYAAICUtrW4TJdNm622Wel64JKxapfNNA0IDr0PAAAAKausslpTHpmr/J0VevrKQ9Q7t03QJSHFEdAAAACQkmpqXD98eoEWrN+hey4Yo/375QZdEsApjgAAAEhNf/nv5/r3J5t0w0kjdMJ+vYIuB5BEQAMAAEAKenbuev3jzeU6d1x/TT58cNDlAF8goAEAACClfLhyu254fqEOG9pVvzl1pMyYsRHxg4AGAACAlLEyr0RXPTpXA7q01V3nj1FmOn8OI77QIwEAAJAS8ndW6LJps5VmpocuGafcNplBlwR8DbM4AgAAIOmVV1XryulztLGwTE9MnqABXdsGXRLQIEbQAAAAkNTcXT9+dqFmry7Qn886QGMGdg66JKBRBDQAAAAktdv/t0wvzt+o608YrkkH9Am6HGC3CGgAAABIWs/NXa87Xl+ms8b009UThwRdDtAkAhoAAACS0ocrt+unzy/UIYO76ren7890+kgIBDQAAAAknRV5Jbpyemg6/XsuGKOsDP7sRWKgpwIAACCp1E6nn5EWnk6/LdPpI3EwzT4AAACSRllltSY/MkebmE4fCYoRNAAAACSFmhrXD59ZoLlrCnT72QcynT4SEgENAAAASeHW/yzVvxdu0k9PGqFvjuoddDlAizQ7oJnZRWZ2QiyLAQAAAFriiY/W6u6ZK3TuuAG68ojBQZcDtFgkI2gPSjoxVoUAAAAALfH253m68Z+f6shh3XXzqfsxnT4SWiQBbXOE7QEAAICY+mxTka5+7GPt3aO9/nHeaGWk8+cqElskPfhVSUeZGb0eAAAAgdtSVKbLps1Wu+x0PXTpweqQw3T6SHyRhK2fS+og6QEz6xajelqdmU0ys6mFhYVBlwIAAIBm2llepcumzVbRrko9eMnB6p3bJuiSgKiI5D5oT0gqlHSRpHPMbLVCpz16vXbu7sdEp7zYc/cZkmaMHTt2ctC1AAAAoGlV1TW65vGP9dmmIj1w8cHar09u0CUBURNJQJtY5+tsScPDj/rqBzYAAAAgKtxdv3ppkd5cmqdbThupo0b0CLokIKqaHdDcnWvPAAAAEKh7316px2at1ZVHDtYFEwYGXQ4QdYQuAAAAJIQZCzbqD68s0bdG9dZPThgRdDlATBDQAAAAEPdmr87XD59eoIMHddZtZx2gtDTudYbkFHFAM7NzzOx/ZrbdzKrMLN/M/mtm58SiQAAAAKS2FXklmvzIHPXr3EZTLxyrnMz0oEsCYqbZ16BZ6Jbsj0g6T5JJqpaUJ6mbpGMkHW1mp7j7ebEoFAAAAKlnW0m5Ln1ottLNNO3ScercLivokoCYimQE7UpJ50v6WNKxknLcvbeknPDzuZK+Y2ZXRb1KAAAApJxdFdW64uE52lpcpvsvHqsBXdsGXRIQc5EEtMskrZZ0hLu/4e7VkuTu1e7+hqQjw9svj3aRAAAASC3VNa7vPzlPC9bv0F+/M1qjB3QOuiSgVUQS0PaV9IK772poY3j9PyXtE4W6AAAAkKLcXb+ZsUj/WbxFv/zWvjpxZK+gSwJaTSQBzRW69mx3mE4HAAAAe+S+d1bq4Q/WaPLhe+nSw/YKuhygVUUS0D6T9G0za9PQxvD60yQtjkJdAAAASEEzFmzU715eom+O6q0bTuLELKSeSALag5IGSHrbzI4xswxJMrN0MztK0puSBobbAQAAABGZtXK7fvj0Ao0b1EV/5l5nSFHNnmZf0r2SDpd0rqT/SKoxs3xJXRQKeibpaXe/J+pVAgAAIKkt31qsyY/MUf8ubTT1ojHc6wwpq9kjaB5yvkJT7b8hqVChcFYYfn6+u3OzagAAAERka1GZLn5wtrIy0jXt0nHq1JZ7nSF1RTKCJkly9yckPRGDWgAAAJBidpZX6bKHZ6ugtEJPTTlE/btwrzOktmaPoJnZRWY2qok2+5vZRXteFgAAAJJdZXWNrn7sY322qVh3nn+Q9u+XG3RJQOAimSRkmkKzNO7OKZIeamkxAAAASA3urp89/4ne+jxPvz1tpI4a3iPokoC4EElAa450he6XBgAAADTq9v8t0zNz1+v7x+ytc8YNCLocIG5EO6ANk1QQ5WMCAAAgiTw+a63ueH2ZvjO2v647du+gywHiym4nCTGz+vc0O83MBjXQNF2he6QdLunf0SkNAAAAyeb1z7boxn9+oqOGd9dvTx8pM+51BtTV1CyOl9T52iUdGH40xCXNkvR/e1oUAAAAks/8dTt0zePzNLJvrv5x3kHKSI/2yVxA4msqoO0VXpqklZL+KulvDbSrllTg7jujVxoAAACSxeptO3XZtNnq3iFbD15ysNplR3y3JyAl7PaT4e5rar82s19LerPuOgAAAKAp20rKdfFDH0mSHr5snLq1zw64IiB+Nfu/Ltz917EsBAAAAMlnZ3mVLps2W1uKyvTE5Anaq1u7oEsC4lokN6o+y8zeMLM+jWzva2avm9m3o1ceAAAAElXtjagXbSzSnecdpNEDOgddEhD3Irky8wpJndx9Y0Mb3X2DpI7hdgAAAEhh7q6fPLfwixtRH7NPz6BLAhJCJAFtf0lzmmgzR9KolpcDAACAZHDra0v1/Mcb9IPjhnEjaiACkQS0LpK2NtFmu6RuLS8HAAAAie7h91frrpkrdN74Abr26KFBlwMklEgC2jZJTd3qfW9JO1pcDQAAABLay59s0k0zFun4fXvq5lO5ETUQqUgC2nuSTjGzEQ1tNLN9JJ0q6Z1oFAYAAIDE8sGK7bruyfkaM6Cz7jh3tNLTCGdApCIJaLcpNC3/u2b2PTMbZmbtwsvvKxTM0sPtAAAAkEKWbC7SlOlzNKBrW91/8VjlZKYHXRKQkCK5D9psM7ta0p2Sbg8/6qqW9F13nxXF+gAAABDn1heU6uIHP1K7rAw9fNk4dWqbFXRJQMJqdkCTJHe/z8zelXS1pPGSOil0zdmHku5298+iXSAAAADiV/7OCl304EfaVVGtp686RH07tQm6JCChRRTQJCkcwq6NQS0AAABIIKUVVbp02mxtKNil6ZeP14heHYMuCUh4kVyDBgAAAEiSKqtr9N1HP9Yn63fo7+eO1ri9ugRdEpAUIh5BkyQzS1fofmfZDW1397V7UhQAAADiV02N68fPLtRbn+fpD9/eX8fv1yvokoCkEVFAM7P9Jf1B0lFqJJxJ8kiPCwAAgMTxh1eX6IV5G/Sj44fpnHEDgi4HSCrNDlLh+5+9H376X0mTJC2QtEXSQQqNqL0pidEzAACAJDX17RWa+vZKXXzIQP2/o4YGXQ6QdCK5Bu0XkjIlHerup4bXveDuJ0raS9JDkvaV9MvolggAAIB48Nzc9frdy0v0zVG99ctJ+8mMG1ED0RZJQJso6V/u/kmddSZJ7r5T0pWSCiTdHLXqAAAAEBfeXLJVP3luoQ4d0lV/OfsApacRzoBYiCSgdZO0rM7zKklta5+4e5VCpzgeH53SAAAAEA/mrsnXdx+bqxG9O+jeC8coOyM96JKApBVJQMuX1L7O822S6l8VWiEpd0+LAgAAQHxYurlYlz40W71z22japePUIScz6JKApBZJQFshaVCd53MlHWdmPSTJzNpJOlXSqqhVBwAAgMCsyy/VRQ/OUk5muh65bJy6tW9sEm8A0RJJQPuPpKPCQUyS7pHURdI8M3tG0ieSBkq6P7olAgAAoLVtKynXhQ/M0q6Kak2/fLz6d2nb9E4A9lgkAe0+SZdLaiNJ7v5vSdeFn58hqYekP0q6I7olAgAAoDUVl1Xqkoc+0uaiMj106cEa3qtD0CUBKaPZ90Fz902Snqq37g4zu1OhCUS2urtHuT4AAAC0orLKak15ZK6WbCrWfReN1ZiBXYIuCUgpjY6gmVm+mf24zvNfmtkR9du5e7W7byGcAQAAJLbqGtd1T87XByu369azRumoET2CLglIObs7xbGTpJw6z29S6F5oAAAASDLurp+/8IleXbRZv/jWvjp9dL+gSwJS0u4C2hZJfDIBAABSwB9eXaInZ6/TNUcN1eXf2CvocoCUtbtr0D6UdKGZVUvaFF430azJu8a7u98cjeIAAAAQe3fPXKF731qpCyYM0A+PHxZ0OUBK211Au17SMElX1lk3UU2f5uiSCGgAAAAJ4ImP1uqPry7RpAP66DenjFQz/jMeQAw1GtDcfbmZ7S9pL0l9Jc2UNE3Sw61SGQAAAGLq3ws36WcvfKKJw7vrz2cdoLQ0whkQtN1Os+/uNZJWSFoR/t+U1e7+VmsUBgAAgNh5+/M8XffUPI0Z0Fl3nz9GWRmR3B4XQKxEch80PrUAAABJYO6aAl05fa6G9uigBy45WG2y0oMuCUAYoQsAACCFLN1crMumzVbPjtl65LJxym2TGXRJAOogoAEAAKSINdt36sIHZiknM03TLx+v7h2ygy4JQD1JF9DM7GdmttTMaszstKDrAQAAiAcFZTU6//5Zqqyu0aOXj1f/Lm2DLglAA5IuoEl6XdLJkt4OuhAAAIB4sL2kXLfOLtOO0ko9fNk47d2zQ9AlAWhE4AHNzPqZ2d/N7AMzKzUzN7NBjbTtb2bPmlmhmRWZ2fNmNqBuG3ef5e4rWqV4AACAOFdUVqmLH/pIebtcD1w8VqP6dQq6JAC7EXhAkzRU0tmSCiS901gjM2sr6Q1JIyRdLOlCSXtLetPM2rVCnQAAAAllV0W1rpg2R0s2Feua0dkaP7hr0CUBaEKzp9mPobfdvackmdkVko5vpN1kSYMlDXf35eH2CyUtk3SlpL+0Qq0AAAAJoaKqRlc9Olez1+TrjnNGq0PB50GXBKAZIhpBM7M0M7vWzD4Mn2ZYVWfbaDO7y8yGRXLM8M2wm+MUSR/WhrPwvqskvSfp1EheEwAAIJlV17j+76n5euvzPP3+9P016YA+QZcEoJmaPYJmZlmSXpE0UVK+pGJJ7es0WSXpMkl5kn4VvRK/sJ+kFxtYv0jSWS05oJlNkTRFknr27KmZM2e2uDhErqSkhO85AkP/Q1Doe4g1d9dDiyr09voqnTM8S71KV2rmzJX0PQSK/td8kZzieL2koyTdJOkWSb+U9Ivaje6+w8zelnSCYhPQuih0nVp9+ZI61z4xsxslXSWpu6SRZvYPSWPdfXP9Hd19qqSpkjR27FifOHFiDMpGY2bOnCm+5wgK/Q9Boe8hltxdv56xWG+vX63vHT1UPzh++Bfb6HsIEv2v+SI5xfF8Se+5+2/CpyV6A21WSRrQwPpoaeg17SsN3G9x937unu3u3cJffy2cAQAAJJs//+dzTXt/tS47bC/933ERXXUCIE5EEtD2kvRhE23yFRrpioWCRo7dWQ2PrAEAAKSMO99crn+8uVznHNxfv/jWPjKzpncCEHciCWi7JHVqos0ASTtaWkwTFil0HVp9+0paHKPXBAAAiHvT3lulW19bqlMP7KPfnr4/4QxIYJEEtPmSjg9PFvI1Zpar0PVnH0Whroa8JGmCmQ2u85qDJB0W3gYAAJBynp69TjfNWKzj9+2p2846QOlphDMgkUUS0O6T1F/SY2bWse4GM+skaZpCpxveE2kRZnammZ0paUx41UnhdUfWe/3Vkl40s1PN7BSFZnVcJ+neSF8TAAAg0b20YKN+8vxCHb53N/39vNHKTI/oDkoA4lCzZ3F09yfM7FhJlyp0T7ICSTKzOQqdepgt6U53f7kFdTxT7/ld4eVbCk3rL3ffaWZHS7pd0nSFJgd5XdJ17l7SgtcEAABIWP9bvEU/eGq+Dh7YRVMvHKvsjPSgSwIQBZFMsy93v9zM3pH0fUmjFApJByl0fdhf3P2hlhTh7s0ai3f3tZLOaMlrAAAAJIt3l23T1Y9/rP36dNQDl4xVmyzCGZAsIgpokuTu0yRNM7M2Cp3SWOjuO6NdGAAAAL5u1srtuuKR2RrcrZ0evmycOuRkBl0SgChq8YnK7r7L3Tcmejgzs0lmNrWwsDDoUgAAAHbr47UFumzabPXt1EaPXjFendo2OHcbgASW8leSuvsMd5+Sm5sbdCkAAACN+nRDoS5+8CN165CtxydPULf22UGXBCAGGj3F0cxWtvCY7u5DWrgvAAAA6lmyuUgXPDBLHXMy9fjkCerZMSfokgDEyO6uQUuT5C04JjffAAAAiJLlW4t1/n2zlJORricmT1DfTm2CLglADDUa0Nx9UCvWAQAAgHpWb9up8+6bJTPTY5PHa0DXtkGXBCDGUv4aNAAAgHi0vqBU598/S5XVNXrsivEa0r190CUBaAUENAAAgDizqXCXzrtvlorLKjX98vEa3qtD0CUBaCUR3wfNzLIlHSypr6QGpw9y90f2sC4AAICUtKWoTOdO/VAFOys0/YrxGtmXmaaBVBJRQDOzyyT9SaEbVDfYRKGJRQhoAAAAEdpaHApnecXleuTy8Tqwf6egSwLQypp9iqOZnSjpfkmbJP1IoTD2oqSfS/pv+Pkzki6LfpkAAADJbVtJuc67b5Y2F5Vp2mXjNGZgY/8fDiCZRXIN2g8lbZd0qLvfHl43393/4O4nSpos6duSVkS5RgAAgKSWv7NC5983S+sLSvXgJQfr4EFdgi4JQEAiCWgHSZrh7sUN7e/uD0h6T6ERtYRhZpPMbGphYWHQpQAAgBRUsLNC598/S6u379SDFx+sCYO7Bl0SgABFEtDaKXR6Y60ySR3rtZkjafyeFtWa3H2Gu0/JzeUCXAAA0LoKSyt1wQOztCKvRPddNFaHDu0WdEkAAhZJQNssqXud55skDa/XJldS+p4WBQAAkOyKyip10YOztGxLie69cIyOGNa96Z0AJL1IAtoifTWQvSPpGDM7XJLMbKSks8PtAAAA0Iiiskpd+MBHWrypSHedf5COGt4j6JIAxIlIAtorkg4zsz7h53+SVC1pppnlSVogqYOkW6JbIgAAQPL4IpxtLNSd5x2kY/ftGXRJAOJIJAHtXoVuTr1Nktx9saRjFApu2yT9R9JJ7v5ytIsEAABIBvXD2fH79Qq6JABxptk3qnb3Sklb6q37UNK3ol0UAABAsiGcAWiOSEbQAAAA0AJFZZW6iHAGoBmaHdDM7Bgze7DONWj1t/cJb58YreIAAAASXW04+3QD4QxA05p9iqOkayWNcPeNDW10941mdohCU+3PjEJtAAAACa1uOLvrfMIZgKZFcorjQZLeb6LNu5LGtrwcAACA5EA4A9ASkYyg9ZDU4OhZHVvC7QAAAFJWYWmlLnxwlj7bVKQ7CWcAIhBJQCuU1L+JNv0l7Wx5OQAAAImtYGeFLnhglpZtKdE9F4zRMftwnzMAzRfJKY4fSTrNzBr8L6Dw5CGnhdslDDObZGZTCwsLgy4FAAAkuPydFTrv/llatrVE915EOAMQuUgC2t8ldZD0jpmdYmbZkmRm2WZ2qqS3JbWXdEf0y4wdd5/h7lNyc3ODLgUAACSwbSXlOu++D7Uyr0T3XzRWRw3nqg8AkYvkRtX/MbObJf1C0guS3MwKJHWWZOHHb9z91ZhUCgAAEKfyikPhbF1BqR685GAdNrRb0CUBSFAR3aja3X8l6URJL0vKV2hK/XxJ/5Z0grvfFO0CAQAA4tnWojKdM/UDrS/YpYcuGUc4A7BHIpkkRFJoJE3Sf2JQCwAAQELZXFimc+/7UFuKyvTwZeM0bq8uQZcEIMFFHNAAAAAgrcsv1fn3z1L+zgo9ctk4jR1EOAOw55p9iqOZDTKzk82sXZ11GWb2azNbYGbvm9npsSkTAAAgfqzatlPfufcD7Sit0KNXjCecAYiaSEbQfiXpFEl154u9UaFJQ2o9bWaHu/uH0SgOAAAg3izbUqzz75+lqhrXE1MmaL8+zAQNIHoimSTkEEmvu3uVJJlZmqSrJS2RNEDSOIVuUv1/0S4SAAAgHizeWKRzpn4ol/Qk4QxADEQS0HpKWlPn+YGSukm6093Xu/scSS9KOjh65QEAAMSHhet36Nz7PlRWRpqemjJBw3p2CLokAEkoklMcMyV5neeHhZ+/UWfdekm9o1AXAABA3Ji7Jl+XPDhbuW0z9cTkCerfpW3QJQFIUpEEtPWSRtV5frKkbe7+WZ11PSQVRaMwAACAePDBiu26/OHZ6tkxR49PHq/euW2CLglAEoskoP1L0v+Z2W2SyiQdJ+mhem1G6KunQQIAACSsN5ds1VWPztWALm312BXj1aNjTtAlAUhykQS0P0k6TdIPws83KDSzoyTJzAZKOlTS7dEqDgAAICj/XrhJ1z01T8N6dtAjl41T1/bZQZcEIAU0O6C5+1Yz21/SMeFVb7l7cZ0m7RUKb69Fsb6YM7NJkiYNHTo06FIAAECceHrOOv30uYU6aEBnPXjpweqYkxl0SQBSxG5ncTSz08zsixOt3X2Xu/8r/KgbzuTui9z9b+6+JFbFxoK7z3D3Kbm5TJMLAACkae+t0o+fXajDhnbTI5ePI5wBaFVNTbP/vKQ8M3vOzC4ws06tUBMAAECrc3fd+eZy3TRjsY7ft6fuv3is2mZFcjUIAOy5pn7qfEfS6QrN2Hi6pEoze0uh4Paiu2+KcX0AAAAx5+7646tLdc9bK3T66L669cxRykiP5HaxABAdu/3J4+7PuPt5krpL+qakhyXtL+kuSevM7H0z+5GZcQEXAABISDU1rl+8+KnueWuFzh8/QH8+6wDCGYDANOunj7tXuvsr7j5FUh9JR0i6Q1JPhWZ3XGpmn5jZTWZ2YMyqBQAAiKLK6hr98JkFevTDtbryiMG65bSRSkuzoMsCkMIi/u8hD3nX3X/g7kMkjZZ0iySX9EtJc81slZn9Ocq1AgAARE1ZZbWumj5XL8zboB8dP0w/PWmEzAhnAIK1x+P37r7A3X/l7qMk7S3pp5I2Sfr+nh4bAAAgForKKnXRAx/pjaVbdfNpI3XN0XsTzgDEhaieYO3uK9z9Vnc/VFK/aB4bAAAgGvKKy3XOvR/q47UF+ts5o3XhhIFBlwQAX4jZ3LHuvjlWxwYAAGiJdfmluujBj7SpcJfuv3isJg7vEXRJAPAVUR1BM7NbzWxFNI8JAAAQDcu2FOusez7Q9pJyPXbFeMIZgLgU7RG0bpIGRfmYAAAAe2T+uh265KGPlJmepqeuPET79O4YdEkA0KCYneIIAAAQD95Zlqcrp89V1/ZZevTy8RrYtV3QJQFAo3Yb0MzskQiPd+ge1AIAABBVL87foB89s0BDurfXw5eNU8+OOUGXBAC71dQI2gUK3d8sknlnveXlAAAARMeD767Sb/61WOP26qL7Lhqr3DaZQZcEAE1qKqAVS1ov6epmHu+nko7fo4oAAAD2gLvrT68t1d0zV+jE/Xrpr+ccqJzM9KDLAoBmaSqgLZB0gLu/1ZyDmdkle1wRAABAC1VV1+inz3+iZ+eu13njB+jmU0cqPY0bUANIHE1Nsz9fUnszG9IKtQTCzCaZ2dTCwsKgSwEAAHtgV0W1rpw+V8/OXa/rjt1bvz2NcAYg8TQV0N6StFBSv2Ye75+SfrMnBbU2d5/h7lNyc3ODLgUAALTQjtIKnX//h3pj6VbdctpIXXfsMJkRzgAknt2e4ujuz0l6rrkHc/cXJb24p0UBAAA01/qCUl3y0Gyt3V6qu847SCft3zvokgCgxbgPGgAASFiLNhbqkodmq7yyWo9cPk4TBncNuiQA2CMENAAAkJDe/jxP3310rnLbZOqx7x6qYT07BF0SAOwxAhoAAEg4z85dr58+t1BDe7TXtEvHqVcuN6AGkBwIaAAAIGG4u+58c7lu+8/nOmxoV91zwRh1yOEG1ACSBwENAAAkhKrqGv3ypUV6fNZanT66r/54xihlZTQ1ITUAJBYCGgAAiHulFVW69vF5en3JVl09cYiuP2E40+gDSEoENAAAENe2Fpfpiofn6NMNhbr5tJG6cMLAoEsCgJghoAEAgLi1dHOxLps2W/k7KzT1wrE6dt+eQZcEADFFQAMAAHHpnWV5uvrRj9UmK13PXHWIRvbNDbokAIg5AhoAAIg7T81eq5+/8KmG9mivBy85WH06tQm6JABoFQQ0AAAQN2pqXLf9Z6numrlCRwzrrjvPG800+gBSCgENAADEhbLKav3omQX618JNOnfcAP3m1P2Umc40+gBSCwENAAAEbntJuaZMn6u5awr005NG6MojBjONPoCUREADAACB+nxLaKbGvOJy3XneQfrmqN5BlwQAgSGgAQCAwLy5dKuufXye2mSl66krD9GB/TsFXRIABIqABgAAWp2766H3VuuWfy/WiF4ddf/FY5mpEQBEQAMAAK2ssrpGv3ppkR6ftVbH79tTt3/nQLXL5k8SAJAIaAAAoBUVllbq6sfn6r3l2/XdiUN0/fHDlZbGZCAAUCvlA5qZTZI0aejQoUGXAgBAUlu1bacunzZb6wpKddtZB+jMMf2CLgkA4k7K31zE3We4+5Tc3NygSwEAIGm9syxPp935nnbsqtTjkycQzgCgESk/ggYAAGLH3fXAu6v0u5c/0949Oui+i8ZqQNe2QZcFAHGLgAYAAGKivKpaP3/hUz07d71O2K+n/nI2k4EAQFP4KQkAAKJua1GZrnx0ruat3aHvH7O3vn/M3kwGAgDNQEADAABRtWDdDk2ZPkdFu6p09/kH6aT9ewddEgAkDAIaAACImhfmrddPnvtE3dtn67nvHqp9+3QMuiQASCgENAAAsMeqqmv0p9eWaurbKzV+ry666/yD1LV9dtBlAUDCIaABAIA9kr+zQtc+8bHeW75dF04YqF9O2leZ6Sl/Jx8AaBECGgAAaLFP1hfqqkfnKq+kXH86c5TOHts/6JIAIKER0AAAQIs8O3e9fvbCJ+rWLkvPXnWIRvXrFHRJAJDwCGgAACAiFVU1uvlfizX9wzU6dEhX/f3c0VxvBgBRQkADAADNtrWoTFc/9rHmrCnQlCMG68cnDFcG15sBQNQQ0AAAQLPMWZ2vqx/7WMVlVfr7uaM16YA+QZcEAEmHgAYAAHbL3fXAu6v0h1eWqG/nNnrk8nEa0Yv7mwFALBDQAABAo4rLKvXjZxfqlU836/h9e+rWsw5QbpvMoMsCgKRFQAMAAA1asrlI3330Y63NL9XPTh6hyYcPlpkFXRYAJDUCGgAA+Jpn567Xjf/8RB1zMvXE5Akat1eXoEsCgJRAQAMAAF8oq6zWTS8t0pOz12nC4C6649zR6tEhJ+iyACBlENAAAIAkac32nbr6sY+1aGORrp44RD84bhhT6ANAKyOgAQAA/WvhRt3w3Ccyk+6/aKyO3bdn0CUBQEoioAEAkMLKKqt1878W67FZazV6QCf9/dzR6te5bdBlAUDKIqABAJCiVuSV6P899rGWbC7WlUcM1o9OGK5MTmkEgEAR0AAASEHPf7xeN/7zU+VkpuuhSw/WUcN7BF0SAEAENAAAUkppRZV++eIiPTt3vcbt1UV3nDNavXKZpREA4gUBDQCAFLFkc5GufXyelueV6HtHD9X3jtmbWRoBIM6kfEAzs0mSJg0dOjToUgAAiAl318Pvr9bvXlmijjmZevTy8TpsaLegywIANCDl/9vM3We4+5Tc3NygSwEAIOq2lZTrsmmzddOMxfrG0G569brDCWcAEMdSfgQNAIBk9dbnefrh0wtUVFap35y6ny6cMFBmFnRZAIDdIKABAJBkyquq9adXl+qBd1dpeM8OevSKcRrRq2PQZQEAmoGABgBAElm+tVjXPjFfn20q0sWHDNQNJ++jnMz0oMsCADQTAQ0AgCTg7pr+4Rr97uXP1DYrQw9cPFbH7NMz6LIAABEioAEAkOA2F5bp+mcX6J1l23TEsO667cxR6tGRe5sBQCIioAEAkMBmLNioG//5qSqqanTzaSN1wfgBTAQCAAmMgAYAQAIqLK3UL178VC8t2KgD+3fS7d85UHt1axd0WQCAPURAAwAgwbyzLE/XP7NQ20rK9YPjhunqiUOUkZ7ytzYFgKRAQAMAIEHsqqjWH19domnvr9aQ7u009aJDNapfp6DLAgBEEQENAIAEMHt1vq5/ZoFWby/VJYcO0k9PGsH0+QCQhAhoAADEsV0V1br1taV66P1V6tupjR6fPF6HDukWdFkAgBghoAEAEKfqjppdOGGgfnrSCLXL5lc3ACQzfsoDABBnGDUDgNRFQAMAII7MXp2vHz+7UKu27WTUDABSED/xAQCIAyXlVbr11SV65MM1jJoBQAojoAEAELA3lmzRjS98qk1FZbr4kEG6/oThjJoBQIripz8AAAHZVlKu38xYrJcWbNSwnu313PmH6qABnYMuCwAQIAIaAACtzN31/McbdPO/F6u0vFo/OG6YrjpyiLIy0oIuDQAQMAIaAACtKK+0Rhc9+JHeWbZNYwd21h/O2F9De3QIuiwAQJwgoAEA0Aoqq2v0wLur9Jf3dikro1I3nzZS548boLQ0C7o0AEAcIaABABBjs1fn6+cvfKLPt5RodI903XnZEerTqU3QZQEA4hABDQCAGMnfWaE/vPKZnp6zXn07tdF9F41V5tbPCGcAgEYR0AAAiDJ31zNz1+v3L3+m4rIqXXXkEH3vmKFqm5WhmVs/C7o8AEAcI6ABABBFn28p1o0vfKqPVufr4EGddctp+2t4LyYBAQA0DwENAIAoKC6r1B2vL9ND761Wh5wM/emMUTpzTD8mAQEARISABgDAHqipcb0wb4P+8OoSbSsp13fG9tePTxyhLu2ygi4NAJCACGgAALTQpxsK9csXP9XHa3fowP6d9MDFYzWqX6egywIAJDACGgAAEcrfWaFbX1uqJ2evVdd2Wbr1zFE64yBOZwQA7DkCGgAAzVRVXaMnPlqr2/7zuUrKq3TpoXvpuuP2VseczKBLAwAkCQIaAADN8Nbnefrtvxfr8y0lOmRwV/361P00rCezMwIAoouABgDAbizfWqxb/v2ZZi7N04AubXXPBQfphP16yYzTGQEA0UdAAwCgAfk7K/TX/32ux2atVdusdP385H100aEDlZ2RHnRpAIAkRkADAKCO8qpqPfL+Gt3xxjKVVlTrvHEDdN2xe6tr++ygSwMApAACGgAAktxdL3+yWX96bYnWbC/VxOHd9fOT99HeXGcGAGhFBDQAQMp7f8U2/fGVJVqwvlDDe3bQw5eN05HDugddFgAgBRHQAAAp67NNRfrjq0s0c2meeufm6NYzR+nbB/VTOvczAwAEJOUDmplNkjRp6NChQZcCAGglG3bs0p//s1QvzNugDtkZuuGkEbr40EHKyWQCEABAsFI+oLn7DEkzxo4dOznoWgAAsVWws0J3v7VC095fLUmacvhgXT1xqHLbcqNpAEB8SPmABgBIfkVllbr/nVV68N1V2llRpW+P7qcfHD9MfTu1Cbo0AAC+goAGAEhapRVVmvb+at371koV7qrUyfv30v8dO4yZGQEAcYuABgBIOmWV1Xp81lrdNXO5tpVU6OgRPfSD44ZpZN/coEsDAGC3CGgAgKRRUVWjZ+eu19/fWKZNhWU6bGhX3XvccI0Z2Dno0gAAaBYCGgAg4ZVXVeuZOet198wV2rBjl8YM7Kw/n32ADh3SLejSAACICAENAJCwyiqr9dTsdbp75gptLirTQQM66benj9SRw7rLjHuZAQASDwENAJBwdlVU6/GP1uret1Zoa3G5xg3qEh4x60owAwAkNAIaACBhlJRX6fFZazT17VXaVlKuQwZ31d/OGa1DhnQNujQAAKKCgAYAiHvbS8r18Pur9fAHa1S4q1LfGNpN3zvmII3bq0vQpQEAEFUENABA3FpfUKr731mlJ2evVVlljU7Yr6euOnKIRg9gVkYAQHIioAEA4s7nW4p1z1sr9NL8jZKk00b31VVHDtbQHtxgGgCQ3AhoAIC44O76aFW+7ntnlf732Ra1yUzXhYcM1OTDB6tPpzZBlwcAQKsgoAEAAlVZXaOXP9mkB95dpYXrC9Wpbaa+d8zeuuTQQerSLivo8gAAaFUENABAIIrKKvXkR2s17b3V2lhYpsHd2umW00bqjIP6qU1WetDlAQAQCAIaAKBVrcsv1UPvrdZTs9dqZ0W1Jgzuot+cOlJHj+ihtDTuYQYASG0ENABAzLm73l+xXdPeX63XP9uiNDN9a1RvXXH4YI3smxt0eQAAxA0CGgAgZnaWV+n5j9fr4Q/WaPnWEnVpl6XvThyiCyYMVO9cJv4AAKA+AhoAIOpW5pXokQ/W6Lm561VcXqX9++bqtrMO0LdG9VZOJteXAQDQGAIaACAqKqtr9PpnW/X4R2v19ud5ykw3nbx/b1186CCN7t9JZlxfBgBAUwhoAIA9sr6gVE/NXqenZq/T1uJy9eqYo/87dpjOHd9fPTrkBF0eAAAJhYAGAIhYVXWN3lyap8dnrdHMz/MkSROHdddvxw/UUcO7KyM9LeAKAQBITAQ0AECzrcsv1TNz1+uZOeu0qbBMPTpk65qjhuo7B/dXv85tgy4PAICER0ADAOzWropqvbpok56evV4frNwuM+kbQ7vpV5P20zH79FAmo2UAAEQNAQ0A8DXurvnrdujpOev1rwUbVVxepQFd2uqHxw3Tt8f0U99OTJEPAEAsENAAAF/YuGOXXpy/Uc9/vF7LtpYoJzNNJ+/fW2eP7a9xg7ooLY2ZGAEAiCUCGgCkuKKySr36yWa9MG+DPly1Xe7SQQM66Q/f3l/fHNVbHXIygy4RAICUQUADgBRUWV2jt5bm6YX5G/S/xVtUXlWjQV3b6rpjhum00X00sGu7oEsEACAlEdAAIEVU17hmrdquGQs26dVPN6mgtFJd2mXpnIP767TRfXUgN5MGACBwBDQASGI1Na6P1xZoxoKNevnTzcorLlebzHQdu29PnXZgHx0xrDuzMAIAEEcIaACQZNxdC9YX6t8LN+pfCzdpU2GZsjPSdNTwHpp0QB8dPaKH2mSlB10mAABoAAENAJJAdY1r9up8vfrpZr22aLM2FZYpM9105LDu+smJI3Tsvj3VPpsf+QAAxDt+WwNAgqqoqtF7K7bptU8367+Lt2j7zgplZ6TpiGHddf0Jw3XMiJ7KbcsMjAAAJBICGgAkkMLSSs38fKv+99lWzVyyVcXlVWqXla6j9+mpk0b20pHDuqsdI2UAACQsfosDQJxbs32n/rt4i17/bKs+Wp2v6hpXt/ZZOnFkL520fy8dOqSbcjK5pgwAgGRAQAOAOFNZXaM5qws08/Otev2zrVq+tUSSNLxnB115xGAdu29PHdivk9LSmBIfAIBkQ0ADgDiwqXCXZi7N08ylW/Xe8u0qKa9SRppp/OAuOn/8AB27T0/179I26DIBAECMEdAAIABlldWas7pA7yzL08yleVq6pViS1Cc3R5MO6KOJw7vrsKHdmHkRAIAUw29+AGgFNTWuxZuK9M6ybXpv+TbNXp2v8qoaZaabDh7URT8bM0ITh/fQ3j3ay4xTFwEASFUENACIAXfX6u2l+mDFdr23fJveX7FNBaWVkkLXkl0wYaC+MbSbxu3VhVkXAQDAF/irAACioDaQfbhy+xePLUXlkqSeHbN19Iie+sbeXXXYkG7q0TEn4GoBAEC8IqABQAvU1LiW55Vo9up8fbQqX7NW5mtzUZkkqXuHbE0Y3FUTBnfRhMFdNbhbO05bBAAAzUJAA4BmKKus1icbCjV7db7mri7QnDUFKtwVOmWRQAYAAKKFgAYA9bi7NhWWad7aHZq3tkDz1u3QJ+sLVVFdI0ka0r2dThrZS2MHddHBgzprQJe2BDIAABAVBDQAKW9neZU+3VCo+et2hELZuoIvrh/LzkjT/n1zdclhg3TwoC4aM7CzurTLCrhiAACQrAhoAFJKWWW1Fm8q0v/WVOqlp+frk/WFWp5XIvfQ9oFd2+qQwV01ekBnjR7QSSN6dVRWRlqwRQMAgJRBQAOQtIrLKvXZpmIt3lioRRuLtGhjkT7fUqyqmlAa69Y+T6P6ddI3R/XWqH65OqBfJ3Vtnx1w1QAAIJUR0AAkPHfXxsIyLd1cFA5kRVq0sVCrt5d+0aZruyzt26ejrhwxWPv37aTS9Yt1+glHce0YAACIKwQ0AAmlcFellm0p1pLNxVqyuUhLN4e+Li6r+qJN/y5ttF/vXJ1xUD/t17ej9u2dq54ds78SxmZuW0I4AwAAcYeABiAu7Sit0LKtJfp8S7GWbSnR8q0lWra1+IvJOySpQ3aGRvTuoFMP7KPhvTpqRK8OGtazg3LbZAZYOQAAQMsR0AAEprK6RmvzS7Uyb6dW5pWElttKtCJvp/J3VnzRrm1Wuvbu0V7fGNpde/dsr2E922t4r47qk5vDKBgAAEgqBDQAMVVZXaMNBbu0avtOrdm2U6u3l2r19p1as71U6/JLv5iwQ5K6tc/S4G7tdfy+PTW4ezvt3TM0Ita7Y47S0ghiAAAg+RHQAOwRd1dBaaXW5ZdqbX6p1hWUfvl1/i5t2LFL1XVCWLusdA3q1k779u6ok/fvpcHd2mtw93Ya3L09pyYCAICUR0ADsFtV1TXaWlyuTYW7tL4gFLg21FuWVlR/ZZ9u7bPUr3NbHdi/k045oI8Gdm2rvbq108Cu7dStfRanJQIAADSCgAaksPKqam0tKteWojJtLirT5sLQY1NhmTYW7tLmwjJtKSpTnQEwSVLntpnq27mNBndvp2/s3U39OrfVgC5t1b9LG/Xv3FbtsvnRAgAA0BL8FQUkGXfXzopqbSsu19bicuUVl2trcVl4GXq+pSgUvApKK7+2f05mmvrktlHvTjk6dEg39emUo97h5/06tVGfTm0IYAAAADHCX1lAAiirrNb2nRUq2Fmh7TsrlL+zXNtLKpS/s0LbSyq0raRc23ZWaFtxubbvLFdZZc3XjpGRZureIVvd2merX+e2GjOws3p1zFHPjjnqmZujnh2z1bNDjjq1zeQURAAAgIAkXUAzsyGSHpbUQ9JOSZPdfU6wVQEhFVU1KtxVqcJdFeFlpXaU1j4qVFBaqYLSCu2ot6x/jVet9DRT13ZZ6tY+W13bZ2lIt3bq1iFbXdtlqXuH7C8ePTrkqFObTGZCBAAAiHNJF9Ak3SNpmrvfb2bHSXrMzEa4uze1I7A7VdU12llerZKKKpWUVam4rFLFZVUqLv/y69r1hbsqVVRWpaJdlSoqq1TRrioVlVU2GrQkyUzKbZOpzm2z1Kltpnp2zNHwXh3UuW2WurT78tG1ztcdcwhdAAAAySTwgGZm/ST9RNJYSQdIaiNpL3df3UDb/pJul3ScJJP0P0nXufva8PbukiZIOlmS3P2/4VO1xkhiFC1FuLvKKmu0q7JapRVVKqusVmlF6LGrolo7K6q+8vWuimqVlFeptDz0fGd5lXZWVIeW5VUqKa9WSXllg6cN1pdmUoecTOW2yVTHNhnqmJOpwd3aq2ObjC/Wd2obWoa+zvri69w2mUonbAEAAKS0wAOapKGSzpY0V9I7ko5vqJGZtZX0hqRySRdLckm3SHrTzEa5+05JAyRtdPe6Mx+sCa8noLUid1dVjauiqib0qA4ty6tqVF5VrYqqGi3Nr1ba53lfWV9eVaPyytCyrDK0rqyyRmVV1Sr/Yln9RQArq6zWrsrQtl2VodC1q7LxUaqGmEntsjLULjtd7bIzvvi6V8cctcvOUPucDLXPDj3aZWeoQ+0yp+4jUx1yMtQmM53rtwAAANBi8RDQ3nb3npJkZleokYAmabKkwZKGu/vycPuFkpZJulLSXxrZL+H+Wi7cVanqGldVTY1qavSVZXWNq9pdVdUebuNftK19HtpW88W2ympXVXVNeFt4Gf66sjq0b1W1f/F1bfvK6hpV1rgqq0Jf1wauyvB+ldWh4FVZXaPKqvDzqhqVh9c166TSjz7a7eaMNFNOZrpyMtOUnfHlsk1W6OvObTOVnZmuNuE2ORnpapuVrjZZGWqTmaa2WRnKyQptb5cV2q9tVobaZqWHHxnKyUwjVAEAACAuBB7Q3L3p88ZCTpH0YW04C++7yszek3SqQgFtraQ+ZpZZZxRtYHh9whj9m/987b5TsZSeZspIM2Wmpykj3ZSRlqbM9NDzL5ehrzPS09QuOyPUNs2UmZGmrDrtsjLCj/TwIyO0b3bml8+zM9KVnZGmzxZ9ooPHjFZORrqyM9OUXWdbqF2aMtLTWu8bAQAAAAQs8IAWgf0kvdjA+kWSzpIkd88zs48kXSLpvvAkIabQ6ZMJ4xff2ldpZkoLB6d0s1CISjelWXhd+Hl6WigopZmFw1UoYKWnmTLTw+3S0r7clp72lXYZaRbYJBO2OV0HD+oSyGsDAAAA8SiRAloXSQUNrM+X1LnO86skPWxm10sqlXR+YzM4mtkUSVMkqWfPnpo5c2ZUC26pvSJo65JqhwrLY1BLLJWUlMTN9xyph/6HoND3EBT6HoJE/2u+RApoUiiP1PeV4R93Xybp0GYdzH2qpKmSNHbsWJ84ceKe1ocIzJw5U3zPERT6H4JC30NQ6HsIEv2v+RLpAp8ChUbR6uushkfWAAAAACChJFJAW6TQdWj17StpcSvXAgAAAABRl0gB7SVJE8xscO0KMxsk6bDwNgAAAABIaHFxDZqZnRn+ckx4eZKZ5UnKc/e3wuvuk3SNpBfN7EaFrke7WdI6Sfe2Zr0AAAAAEAtxEdAkPVPv+V3h5VuSJkqSu+80s6Ml3S5pukKTg7wu6Tp3L2mlOgEAAAAgZuIioLl7s27E5e5rJZ0R43IAAAAAIBCJdA0aAAAAACS1lA9oZjbJzKYWFhYGXQoAAACAFJfyAc3dZ7j7lNzc3KBLAQAAAJDiUj6gAQAAAEC8IKABAAAAQJwgoAEAAABAnCCgAQAAAECcIKABAAAAQJwgoAEAAABAnCCgAQAAAECcIKABAAAAQJwgoAEAAABAnDB3D7qGuGBmeZLWNKNprqTCKL70nhyvJftGsk9z2jbVZnfbu0na1sxa4lG0+0Jrv96eHi/S/eOp70n0v6BfL15/9kWrHT/74vf14rXvNbctfS9xX4/fu8nZ/wa6e/eovpK784jgIWlqvByvJftGsk9z2jbVZnfbJc0J+t8znvpCa7/enh4v0v3jqe+Ft9P/Any9eP3ZF612/OyL39eL177X3Lb0vcR9PX7v0v+a++AUx8jNiKPjtWTfSPZpTtum2kT7+xVPWvu9xVPfa8n+9L3oSuX+F8uffdFql8z9j74Xu3342bd7qdz3WrI/fS+6Wu39cYojAmNmc9x9bNB1IDXR/xAU+h6CQt9DkOh/zccIGoI0NegCkNLofwgKfQ9Boe8hSPS/ZmIEDQAAAADiBCNoAAAAABAnCGgAAAAAECcIaIhLZpZjZv80s8/MbL6ZvWZmg4OuC6nBzF43swXhvveOmR0YdE1IPWZ2qZm5mZ0WdC1IDWa22syWhn/2zTezK4KuCanBzLLM7K9mtszMFpnZy0HXFKSMoAsAduNud39NkszsGkn3Szo62JKQIr7t7oWSZGanS5om6cAgC0JqMbOBkiZL+jDoWpByvuPu84MuAinnd5KyJA139xoz6x10QUFiBA1RY2b9zOzvZvaBmZWG/+d3UCNt+5vZs2ZWaGZFZva8mQ2o3e7uZbXhLOxDSYygoUHR7HuSVBvOwjrGsnYkvmj3PzNLk/SApGsllcf+HSBRRbvvAc0Vzb5nZm0lTZH0U3evkSR339QqbyROEdAQTUMlnS2pQNI7jTUKfxDfkDRC0sWSLpS0t6Q3zaxdI7tdK+nFqFaLZBL1vmdmj5nZekk3S7ogRnUjOUS7//1A0nvuPjdmFSNZxOL37iNm9omZPWJmfWNTNpJANPve0PBxfmpms83sfTM7NZbFxztOcUQ0ve3uPSUpfN768Y20m6zQaNhwd18ebr9Q0jJJV0r6S93GZnaDpGGSjolR3Uh8Ue977n5+neP9UdI3Y1Y9El3U+p+Z7SfpTEmHx7xqJINo/+w70t3XmFmGpJ9JelbSITGsH4krmn0vU9IASSvc/WdmNkLSO2b2qbuviPH7iEuMoCFqaoelm+EUSR/WflDD+66S9J6kr/yPiZn9SNIZkk5y99Jo1YrkEou+V8cDko4zs657ViWSVZT73xGSBkpaZmarJU2QNNXMvhu9ipEsov2zz93XhJdVkm6XNN7MMqNXMZJFlPveGkkuaXp4+xJJ8yWNjla9iYaAhiDsJ+nTBtYvkrRv7RMz+4GkcyUd5+47Wqc0JLkm+56Zda53cfIZkrZKyo99eUhyTfY/d7/b3Xu7+yB3H6TQ9bdT3P3u1isTSag5P/vamVmnOtvOl/Spu1fGvjwkseb83Nsm6TVJJ0pS+HfwSEmftFKNcYdTHBGELgqda1xfvqTOUujiU0l/lrRSofOUJanK3ce2VpFISk32vfDyKTPLkVSjUDj7lrt765SIJNac/gfEQnP6Xk9Jz5lZuiSTtE7SWa1THpJYc3/ufVfSA2b2W4V+9/7I3Ze2Qn1xiYCGoDT0x659sdF9fd3nQBQ11fdWSjq49cpBitlt//taY/eJsSsFKaY5P/tS9pQyxFSTP/fcfbWYa+ALnOKIIBQo9D8q9XVWw//LAkQLfQ9Bov8hKPQ9BIW+1wIENARhkULnJNe3r6TFrVwLUgt9D0Gi/yEo9D0Ehb7XAgQ0BOElSRPM7IsbT4dvbnhYeBsQK/Q9BIn+h6DQ9xAU+l4LGNe9I5rM7Mzwl8dIukrS1ZLyJOW5+1vhNu0kLZC0S9KNCp2bfLOkDpJGuXtJa9eNxEffQ5DofwgKfQ9Boe/FDgENUWVmjXWot+pe7G5mAxS6x8pxCl0o+rqk68IXiQIRo+8hSPQ/BIW+h6DQ92KHgAYAAAAAcYJr0AAAAAAgThDQAAAAACBOENAAAAAAIE4Q0AAAAAAgThDQAAAAACBOENAAAAAAIE4Q0AAAAAAgThDQAAAAACBOENAAAAAAIE4Q0AAAkiQzG2RmbmbTgq6lMfFco5mtNrPV9dbFbb0AgPhEQAOAGAv/ge5B15GskjkEJfN7AwA0LCPoAgAAcWODpH0kFQZdyG4kQo11JVq9ccPMhkj6jqRfK/T3ympJ70vKldRP0iJJ/3D3D4KqEQBigRE0AIAkyd0r3X2Ju28KupbGJEKNdSVavfHE3Ve4++8k5YdXne7u57v7tyR9Q1KxpPfM7MbAigSAGCCgAUCcMLOJ4dPZbmpk+1eucap7+puZDTGzZ81su5kVm9l/zGxkuF13M5tqZpvMrMzMZpvZUQ0c/2un09V7jUFm9qSZbQsfZ46ZfWs37+dsM3vbzArNbJeZfWJmN5hZdgNtTzGz18M1lpvZRjN7y8yu3l2N4e/VqvDmi2tPJw0/LjGzEeGv39hNnZ+YWaWZ9WqsTZ22ZmbXmNmi8Pdgg5n9w8xyG2nf6CmKTb3npt5bneNcYmbPmdnK8Pe5yMzeM7MLdldPC/49x5nZU+H3XB6u+z9mdnYDbceH++NmM6sws3Vmdq+Z9WniW1z/OHtJ6iFpg7vPr13v7iWSvitptqSbzeykSI4LAPGMUxwBIPENkjRL0meSpoWfny5pppkdIulVSUWSnpLURdI5kl4xs2HuvraZrzFQ0keSVkqaHj7OdyS9aGbHuvubdRub2e8k3SBpm6THJZVIOknS7ySdYGbHuXtluO0USfdK2ixpRnifHpJGSbpU0l27qWumpE6Svi9pgaR/1tk2392XmNmbko4Kv9/P69V5qKSRkp5z983N+D78VdL3JG2SNFVSpaRTJY2XlCWpohnHaO573u17q/P13ZIWS3o7XFdXSSdLmm5mw939Fw2UEOm/5+Tw61RLeknSsnC9YyVdLenpOm0vlXSfpPJw23WS9pZ0haRJZjYhgn53Qnj5av0N7u5m9qCkcQp9j15p5jEBIL65Ow8ePHjwiOFDkod+3DbZbmK47U2NbF8taXWd54Nqjy3p5/Xa/iK8Pl/SPZLS6my7MLzt9nr71B5vWiOv8at67U8Ir3+53vpDwuvXSupVZ32GQmHEJf2szvq5Cv0x36OB99wtghqn1d8/vP3M8PbbGtg2LbztuGb8+xwabrtcUpc663MkfRDetrqpeiN5z029t3CbIQ2sy5L0ukIBsu8e/nvuGz5OvqT9GnitfnW+HqZQSF1e93XD245WKOC9EMFn5/lwTWc2sv2o8PZtzT0mDx48eMT7g1McASDxrZb0h3rrHg4vsyVd7+41dbY9LqlK0oERvMYaSbfUXeHurykUwsbVa3tZeHmL1xmVcvcqST+UVKPQaEpdVQqFgK9w920R1NiYf0raKOmSuqdXmlknSWdLWiHpf804zqXh5W/dvfa6KLl7mUKjhZGKynt29xUNrKuQdKdCofiYBnaL5N/zu+Hj3Ozuixp4rfX12mZK+r67b6jX7g2FRtQmmVmHJt6WzCxDX4a6xv59ssLL9k0dDwASBQENABLffHevrrduY3j5ubsX190QbrtFoZnw9uQ1pNDpa53rrTsovPzadV8eOsVwvaS9wgFJkh6T1FbSIjO73cxOM7PuEdS2W+FgeL9Cp/6dUWfThZLaSJrq7s25DULt+3qrgW3vKBS4mitq79nMBpjZnWa2xMxK7cvbOjwXbtK3gd0i+fecEF425xTCQ8LLI83spvoPhU6LTFdopK0p4xWasfEDd9/RSJsB4eUXIdHM2pnZ98Lfh3+Z2ahmvBYAxA2uQQOAxPe1KdzdvcrMGtwWVqXQSEdz7djNcer/Z1/thBmNzVy4SaE/rHMl7XD3v5jZNoWuZfqepOskuZm9pdDo35wI6mzMVEk/k3SlQiOIkjRFodPxHmrmMWrf15b6G9y92sy2N7eYaL1nMxus0LVknRUKif9R6N+8WqHTGS9WaBS1vh2NHLKhf89O4eUGNa1reHl9E+2aM+LV6PVndRwdXr5bu8Ldd5pZ7ffvJw2N+gFAPCOgAUD8qD0NsbGfzblKjPtp1dbYS6HTB+vrXa+d3P0RSY+ER9UOVWiSk8skvWZm+7j71j0pyN03mNkMSaeb2T4KBZqRkp5y97xmHqa23p4KTa7xBTNLVyicNCfE1NYUjff8g/DrXuru0+rVdK5CAW1P7Qgv+0pa0kTb2u9RrrsX7eHrHh9eNhjQzKyrpNpZJ++pt/lYSWsJZwASEac4AkD8KAgv+9ffYGZD9eVIRrybF15OrL8h/D76SVrV0Glr7r7D3V9298kKTeDRRdLhTbxe7al66U20q50Nckr4IYVmUmyuj8PLIxvYdrha+J+eTbznpt7b0PDyuQa2NVRnS3wYXjZnKvvatk39m+2WmXVWaIbIrfry+17fjQqNxP3D3T+st+1E7X7kDQDiFgENAOLHEoWmwz/VzHrUrjSzNpLuCKyqyD0YXt5Y97qq8CjTbQr97nmgzvoTwxNC1Ff7PSht4vUKFJrJb0AT7V6X9LlCo0pnK3R93pu73+UrpoWXPzezLrUrzSxH0u8jOE4k77mp97Y6vJxY7/gn6OsTsbTU3Qqd+vgLM9u3/kYzq3st4z8UmvjkdjP72nVmZpZlZs0Jb8cqFEr/19D1gWZ2mUKnhT4v6Uf1tnVRaKITpt0HkJA4xREAWok1cLPiOq5291Iz+5tCU+TPM7MXFPo5fZxCk35s3M3+ccPd3zezP0n6saRPzexZSTsVGoEZqdD1QrfW2eVJSWVm9q5CgcMUGoE5WKHp6Hc7w6K7l5jZLEmHm9ljCoWwakkvufvCOu3czO6R9JfwqkhGz+Tu75nZ3yVdW+d91d4HrUCNX3PXkGa952a8t7sUml3yGTN7TqFTLEcqNIL0tEL3Ntsj7r7YQjfPvkehfvmiQvdB66rQKFexQtPdy0P3nbtMoZC+yMxeDdecqVDIPFxSnqQRTbzsKeHlvLorzay/Qp+PSxQKxb9oYLKT4xU6Xfj1iN8sAMQBAhoAtJ7dXQ90nUKjJr8KLycrdBreZoX+mL9JoZsRJwR3/4mZzZN0jaSLFPoDfYVCp6X9OTwNfK2fKjQhxEEK3WC5TKFp4H8i6W4P39C6CRdKul2hYHKuQoFnvaSF9dpNU2gUr1Jf3oogEt9XKHD8P4UmHNku6QWFJiBZEMFxInnPjb43d19oZkcpNGX+yQr9Xl8g6dsKXTu2xwFNktz9PjP7VKHRqomSTlPo5toLFZohs27bR81sgUK3VDhKocC0U6H/YHhWoRumNyg8/f5PFLqZuiT92MwOUGgUsbtC0+q/LWmYu69u5DAnSXq3/uylZnagu89v1hsGgABZ82YWBgAg8ZnZRElvSnrU3S8MthpEm4WmLt2k0HVpt9RZv7+kk939j4EVBwDNxAgaACCV/Di8/EegVSDqzCxLoRHOngrN1ln7N84Qhe5/N6GxfQEgnjCCBgBIauHRk29JGqPQH+r/cvdJwVYFAEDDGEEDACS7MZJ+p9AMmc8odHNoAADiEiNoAAAAABAnuA8aAAAAAMQJAhoAAAAAxAkCGgAAAADECQIaAAAAAMQJAhoAAAAAxAkCGgAAAADECQIaAAAAAMQJAhoAAAAAxIn/DwWCJLl9pUUvAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# where will the N~V scaling break down?\n", "fig, ax = plt.subplots(layout='constrained')\n", "plt.loglog(lumdist_basevals,1/scale_factor_basevals, label = r'')\n", "plt.xlabel(\"Luminosity distance $D_{L}$\")\n", "plt.ylabel(\"1/scale factor\")\n", "\n", "secax = ax.secondary_xaxis('top', functions=(lum_to_z, z_to_lum))\n", "secax.set_xlabel('Redshift $z$')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "id": "KK68Zp0QlKe9" }, "outputs": [], "source": [ "# Calculate the integrated VT\n", "\n", "VT_of_redshift = [integrate.simpson(diff_Vc_basevals[:i+1]/scale_factor_basevals[:i+1], redshift_basevals[:i+1]) for i in range(len(redshift_basevals)-1)]\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 601 }, "id": "y9UrzvhejziI", "outputId": "ed762af9-51bb-4d4b-9541-4ddcf165e4c8" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(layout='constrained')\n", "plt.loglog(lumdist_basevals[:-1],VT_of_redshift, label = 'Cosmological comoving volume')\n", "plt.loglog(lumdist_basevals, 4.0 / 3 * np.pi * np.power(lumdist_basevals,3), label = r'$\\frac{4}{3} \\pi D_L^3$')\n", "plt.xlabel(\"Luminosity distance $D_{L}$\")\n", "plt.ylabel(\"Comoving volume (Mpc$^3$)\")\n", "plt.ylim(3e6, 3e16)\n", "secax = ax.secondary_xaxis('top', functions=(lum_to_z, z_to_lum))\n", "secax.set_xlabel('Redshift $z$')\n", "plt.legend()\n", "#plt.title( 'Where will the cube scaling for VT break down?')\n", "plt.savefig('VT-not-cubic', bbox_inches='tight')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "e_c4HKfWN6lp" }, "source": [ "# Candidate metric: BBH horizon and total numbers\n", "\n", "Metrics: Horizon for BBH, cosmological $VT$ for BBH.\n", "\n", "Relevant amplitude-only scaling for the horizon (redshift of furthest signal) for BBH, and the integrated volume-time $VT$ for all BBH. \n", "\n", "Specifically we pick a 30-30 $M_\\odot$ BBH as reference and estimate the horizon change from APLUS at $z_H=1.5$ to CE at $z_H=60$. This gives $F\\simeq 4$.\n", "\n", "Since $z \\sim D_L$, the horizon distance scales similarly to the $SNR$ of a reference signal. The change in horizon scales much like the fiducial signal SNR.\n", "\n", "Since the accumulation of $VT$ is slower with $z$ in the early universe, the sensitive volume for BBH scales at a lower power with $L_\\text{new}$ compared to $VT$ in the local universe.\n", "\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "YG-dGNlsD9QL", "outputId": "96332f19-d439-47c7-8b5c-607f88cc06dd" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15875.944972623012 620749258021.3617 0.33339448734002486\n", "Horizon with straight 10x scaling 14.239174328900301\n", "Needed F 4.213727468609048\n" ] } ], "source": [ "# define metric in terms of a A+ source that reaches cosmological distances (like BBH)\n", "redshift_LHO = 2.0\n", "sourceclass = \"BBH\"\n", "lumdist_LHO = np.interp(redshift_LHO,redshift_basevals,lumdist_basevals)\n", "volume_LHO = np.interp(redshift_LHO,redshift_basevals,vol_basevals)\n", "scale_factor_LHO = np.interp(redshift_LHO,redshift_basevals,scale_factor_basevals)\n", "print(lumdist_LHO, volume_LHO, scale_factor_LHO)\n", "\n", "horizon_with_no_F = np.interp(10 * lumdist_LHO,lumdist_basevals,redshift_basevals) \n", "\n", "print('Horizon with straight 10x scaling' , horizon_with_no_F)\n", "print('Needed F' , 60/horizon_with_no_F)" ] }, { "cell_type": "markdown", "metadata": { "id": "M1R9onvDqQps" }, "source": [ "Frequency-dependent factor for BBH F ~ 4" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "id": "gMMq4wDGqwWq" }, "outputs": [], "source": [ "Ffac = 4" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "jKBUzkJlq9Do", "outputId": "d38709e9-ddc5-4837-956e-096fbab5e148" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"Source with 2020s horizon of z=\"+str(redshift_LHO)+\" (\"+sourceclass+\")\")\n", "plt.ylabel(r'Horizon redshift for '+sourceclass)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " redshifts = np.interp(lumdists,lumdist_basevals,redshift_basevals)\n", " redshift0 = np.interp(lumdist0,lumdist_basevals,redshift_basevals)\n", " plt.plot(rho,redshifts, \n", " label = r'$\\rho_0=$'+str(rho0)+\" \"+r'$\\times$'+str(Ffac)+\" \"+refname)\n", "\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('BBH-horizon', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "YiMB_1Kx9UsL" }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 23, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "4b5A-sFxTInd", "outputId": "ca152579-9f96-4f13-d084-ec1720535dda" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"Change in horizon (\"+sourceclass+\")\")\n", "plt.ylabel(r'Increase in horizon redshift , $z - z_0$, for '+sourceclass)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " redshifts = np.interp(lumdists,lumdist_basevals,redshift_basevals)\n", " redshift0 = np.interp(lumdist0,lumdist_basevals,redshift_basevals)\n", " plt.plot(rho,redshifts - redshift0, \n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname+r', $z_0=$'+str(np.round(redshift0,1)),color = colorlist[i])\n", " # Linear fit on a log-log plot gives power-law scaling\n", " fit = np.polyfit(np.log(rho),np.log(redshifts-redshift0), 1)\n", " # Show fit on plot, label with power\n", " plt.plot(rho, np.exp(np.poly1d(fit)(np.log(rho))), \n", " label = r'$\\propto L_{new}^\\alpha, \\alpha=$'+str(np.round(fit[0],2)),linestyle='dotted', color = colorlist[i])\n", "\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('delta-BBH-horizon', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "ek_oQy6Y7FSP", "outputId": "a503bb19-8fcc-46ed-b900-2b718ca65957" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvcAAAIGCAYAAADQsaAHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAACgJ0lEQVR4nOzdeXxcVcH/8c/J0jRb02Zpkq5Jk66UAt0XllCgFAGBCirIUtlEQEEWUVFAQfQRFPjxCC6IgPiAj4gsD8iDj1KQQlktUOi+09Jma5tm387vj3NnMpPMJJk0yWT5vl+veU3m3nPvPXMzmXznzDnnGmstIiIiIiLS/8VEuwIiIiIiItI9FO5FRERERAYIhXsRERERkQFC4V5EREREZIBQuBcRERERGSAU7kVEREREBgiF+ygyxvzRGGONMf+vk+VXe+W/5t1HesvroeeR5+1/W0/svy8wxlwWcB6/1kHZ20Kc+wZjzGfGmOeMMUva2eaRTtRlm1e2qINyYX/vxpgF3utvmzGmzhhz0Biz2Rjzd2PMrcaY6R3VI2Bfyztb997Q1+oTLcaYLxhjVhljqnyvhWjXKRRjTJox5svGmD8YYz4yxlR4df7QGHO7MWb4Iez7WGPMi8aYMmNMtbfP640xcd34FHpVV95vA7Zp77a/52rdpj4/Djju1YewH9/78lmtlj8SsP9b2tl+hVfmtK7WoacF1LEo2nXpKcaYdGPMQ8aYXcaYRu/53taJ7baFeB03G2P2GWP+ZYy53BjTJue28/fQaIzZ4/2fPinMMX3/X1Z0ULeQ/9ONMSd7y6/p6Pkdin77BjdAPAKcB5xrjLneWtsQrqAxZgZwBFALfAA8GqLY0UCBt351iPWVh1jfwWx5q59/3YltNgOvez8nAUcCpwOnG2O+b639cTfWr9OMMTcC/wEYr44vAweBscBC4EQgFbghGvWTQ2eMmQk8CVjg/4Di6NaoXTcCN+Pq+jHwEpACzAe+D1xojDneWrslkp0aY5YDv/MevgqUAYuBu4ETjDGft9Y2dssz6F9C/e8AqO6NgxtjjgK+jft9m0PYTypwO/A+8Ew7Ra83xvzSWlvW1WNJj3sIOAvYBPw3UE/oDBPO/wJ7vJ/jgTxgES4Tfc4Yc5YNf1GnwL+HZGAaLf+nr7fW/iKCenTIWvu/xph/AbcaY/5grS3vzv37KNxH1z+AnbhQdSrtv0Et9+6fsdauAla1LuB9QizwytzWjfXsyC5gKhD2w0l/ZoyZiAu9B71F840xk6216zvY9HVr7fKA/RjgVu/2I2PM09batT1R53CMMUcAPwWagAustU+2Wj8UOA1I6M16dbO/4v4+DkS7IlF0Bu79/XZrbdiWyz6iCrgLeNBau9W30BgzAvgTcBKuIeTYzu7QGDMe+BXQDJxirf2/gH3+EzgFuBYX9AeVwPek3maMiQd+D5QAb+Nep111HZANfL2d4FYNDAO+g/sQKX2M95o4HagBjrLWdqUR8qfW2hWt9jsPWIF7jX0eeDbUhqH+Howx3wD+H/ATY8zj1trubhy5A/eB5Lv00OtS3XKiyFrbDPzBe3hRuHLeV8jneQ8f6eFqRcxa22CtXWet3RztuvSQ5d79n4GnWi3rNO8f0I9wreUxwJmHXrWIneMd+6nWwR7AWltrrX3KWvvH3q9a97DWHvBej59Fuy5RNNa7j6i1OxqstT+x1n47MNh7y/cBX/UeHmOMGdt267CuxX1A/Z0v2Afs80rv4Y3GmNiu11y64Lu4b6CvBvZ3dSdeILwCKAX+p52iv8Y1Ol1ljBnV1eNJj8rFNUQUdzHYh2StfQv3Pxvg+Ai3vR/X8DoE17DX3f4P+BS4xBiT2AP7V7jvAx7x7k81xmSEKbMU10KxC/h7T1fIGDPHGPOCMWa/MabSGPOGMWZZuL6eoZYbY073lr3WznEWeWXWhFh3uDHmUWPMDuP6hJd5dSoKsy9/n2JjzAXGmHeN62Nbboz5izGmsIvnIga4wHv4GC2/rwtC9eXriPeB7gPv4fiu1OkQjfTu97RbqouM6z99nzFmp/d722KM+aEJ08fZGJNgjLnOGPOe91qrMsb82xhzU6g3vYD+jo8YY7KNMb/yXiMNxph7W5cJ2K4oTB/LoFuI4x1hjHnCGLPbGFPv9cf8szFmdpjn4+sDmmeM+Zxx/T4PGteP/H/DbdeJ83qccf1AS7zzutM7B5NalbvNex6+UPz7gOd3WwfHWG46PkfbulL/rrLW7sK18gKMiWDTz3v3T4TY55vAdtzfwvzO7tAYc6Ix5gHj+u2XG2Nqvdf3r4z7piDUNv7+0saNc3nJe1+tNsasNGH69XrbHmWMed60vA+vMsac09n69jXGjeO5GXjaWvv0Ie7uTCAH+FN73VlxH25/ByQCP+jszk0H/dwD/87DLTfGnGXc/85KY0yxMeYxY0y2Vy7RuPEkmwJeR982xrTbTckYc5JXtwPee8rLxpgF7ZRPNcZ833tPPei97lYbY24wxgwJUd43VmG5MWaWMeYZr+7NxpgzOz5zYIwZZtx7/sfe8SqMMW8aY64wrT5Me+9V272H49t7L+4iX4t7V3qpHMq27fJywB+BEcCXunv/oHAfddbajcAbuH5i54Yp5mvV/4P3ougxxpiluH7in8P90T2H6xv5FPCNCHb1N9wfx9HGmPwwZS707oP6gBpjLsL1o7wQ10/2OWAdcDLwT2PMFe3U/07gYVyfvb/hvpZdBrxujMmMoP4+J+BaQbcBrwH/wrW8j8Z1F+iKYd59fRe3PxQ7vfuzjTG53bzv4cCbuNfxB7jzNQq4hRBjFIwL7/8H/Bwo9H5+Cddf8qfAq8b1qw0lC3gH97t9B3ie9lsC9+BeZ6Fuvg+gQX9bxphluK4DXwY+w/0N7ADOBt40xnylneN9DdeimIj7+rUYWOI9pyntbNeGcV8Rv4LrLrUe+Auuy9FFwPvGmMUBxVd7z8n3LdrKgOe5uoNDbSL8OXrfK9MUSd0PlXHdaNK9h536QGqMGQZM8B6+F6aYb/lREVTnV7hv7GpwXXtexv3j/xru9zC5nW0/h3udjcG9zjfjWgT/Zoxp06ro/U7fxP3Od+Je3xbXH/naCOrcJ3ih7ve49+MuD6AN4OvO849OlL0d9zu7xBgzoaPC3eRqXKtxLe49rQHXSPQP7z3tH8BVwAbc/5QxuHFQ7X0A+QLuvWQY8CLu7/Uk3HtKmwHB3gfO93DPPxv3+vund6y7gP8NFfA9x+Bef1O9uv6DTnS7NcaMxHWJvAX3Hv0CbrzLDOBB4JlWAf9R3PsZuO55ge853WGOdx9R91fvPcTXcNJTXWf/6d0fSte08Ky1ukX5BlyGe+N+J8S6Ebg3CAtM7mA/j3jlbutiPZKBvd4+rmu17nSg0Vu3rdW6vDDL7/WW3xLiWAnAPm+fowKWz8SF3n1AUattFuACXH3rc+Edx3r1nxOwPAX3ZmOBW7twTv7obfvDgGW3eMueCLPNbd76R0Ksy8YFMwtc0pltQuxjm1e2qINyvnOS1+p3VeUtr8QNuvwGbvDR0C6+bpYHHOtZYFjAunne77gZyG+13d3eNu8BmQHL04G3vHW/audYLwDJ7dSnM+cyE/dP0gLXBCzPBSq85Re32uZ8b3l1iOe0LWDd0oDl8bixABb4fQTn9kjv/NUF7s9b5xuEWhx4zr11j3jrlnfld9pqXwW47g9NwFlhXmOR3G6L4Ng/9Lb5MIJtDve22ddOmfu8MndHsN8zQpznOFz/WQu8FGKbFd66ZuCrAcsNcL+37pVW2yQBu71132u17hzv99Dm/baDuuf5zn8E29zWld9vmH19x1t/aYjX6NVdeE3u9LbNDbM+aN+4MGtxDWShfj+nhVleFGb/22j13tpqeRWwIGB5Gm6wuAXW4IJ24HveybS8JyeHqYsFrmq17pve8hIgrdXr6x1v3X8ACQHrhuM+cFjgR2HOm8WNDTMR/l6e8rZ9MfB5AONwH2gt8J0wr81Ov55DnO+igGXxuMYi39/4Dtr+3fqOaVstTwJm43pIWODZEMdc7q1b0cm/n0fCrE/DvS+URXqeO3VuunuHunXhl+A+iVd7L4RprdZ93Vv+Zif24/vDvK2L9fC9aP8dZv0Tof4Iw/1x4lrFLLAxxL7OJsQ/RNyneAtcGKYO13vrf9Fque8N6fIQ23yhM3+MHfxeCgKWj/f+KGuA4SG2a/NH7b1pLMK1BFtcK2Rqe9u0U682b2hhyvnOSV6r5UW4r6tb/2Ouw4XzBR3VIczrpoKAf1gB632tjssDliXi/pFZYH6IbWZ662oDz3HAseqAcR3Up91zifuA+S+v7P2t1vk+wLUJbN563zda/xHmd3NniG1mhfo76aCODxPiQ463zuBa4y1uUGHgukdan/Ou3HAftNZ7+7o+xPpHunA7s5PHXuj9npuBJRHUeaFX30/bKfNjr8yvD+X8BOxvFy50p7ZavsI7zn+F2CbTW1cPxAcsv5CWENjmnz4t75GRvI7y6DiYF7Xa5syu/H5DHHsK7r3ylcDnE/AajSjc41qELbC/nTJB+wYycI0qTcBhIX4/3R3u7wixzTXeuiZgUoj1//bWHxemLiEzAC3/U74esOx0b9k/w2yTi/vbKg3zO/kEiInw9+L7v1hPiPdm3Lesvv99gcf0vTY7/XoOcb7D3R4noPEwgr+HOtyHmyEhtl3ewbatb23+JgL2tSvU66g7bpotpw+w1lYYY/6KGzR7Ia6Vw+ci7/6RXqjKMd79f4dZ/wSui0KnWGv/bYz5CDjcGLPAur6uPm265BjXh/0k3JvfM2F2+6p3H66v7EshlvlmtYm0G8qXcCH0dRswWNhau90Y8youJH+J8NNiXuR1MWptJ7DMWnswxLoeZ61dYVxf7SXebS6uhTgR11f5NGPMldbazkz3Gehda21piOXrcd0LAs//LNw3RZutm/2pdR3f9712cL/r1r/X9621OyKsX2sP46ZKe4G2XR18M7M8HmbbR3D/QI8Ls767Xodh62GttcaYx3Ddmo7Dfe3dbbyv7J/GfT39K2vtz0PUYXl3HjPg2Pm4EDsENxPGy5Fs7t3bHqjXeNzMZpNw08X6uhjE4bq5FuJCWmttXg/W2lJjTBkueGbiun5By2vqCeslgFb+gAtKXRWuy0NQtydr7TO0P4Nbh7z3dN8H1MvCPJ9I+cYNdXpqS2ttmTHm57hvgu7ATbvYk0K9Xjd599uttRvCrD8S15UxlDbjRzx/xHU/OZaW94Cl3v1fQm1grf3MGLMROAyYiOseFOhZG3kX4GNwf3uvhXlv/ivuA1Y2MBnX1ba7BE6FaXDvsXNweaXBGPN1a21tmG0D/x7icd1wF+Cmgq4A7gmz3V5Cv8/7HIkbPN6eMtzveyTug0q3UbjvOx7BhfvzjTHfs9Y2e3045+FaL//UC3UY7d1vD7M+3PL2PIb7SvRCXB8+vL7vS3F/OM8ElM3A/cMEONDB2KKsMMs/DbHMNwI/0ukdl3v3j4VY9wgu3C8nfLgPnOe+EfeH/DbwP9baugjrEqjDf5CtBma1KW/d/N4vejffFJgn477CnQz8P2PMi9bana23bUeocw+hz7/vtba1nf1twYX70SHWHVKwN8bcjvt7Ww182Vrbui95R/Xb0qpca23OhbW20vu1hOvnGsqh1uNQ/BYXNP+X7ukn3SneWJC/4wZMPgx8L8Jd+D40p7RTJrlV2c7U6w5cw0t7M+wMC7O8vb+NDEL/bWwLs0245Z3SUx/IwrgGF5S+Y63d1FHhTkrz7iNtHLkH1wXxTGPMXGvt291Un1BC/b6r2lkXuD7c/6lw/3+3efeBA87zvPv/NMb8Z5jtfLJoG+678v7a7nuV1xixDRd4R9O94T7UVJjDcLlpOa7B8NIw9Vreepk3NuNV4BfGmBJrbahGnnXt/S0ZN4FBR+G+wrsf3kG5iCnc9x2Bc96fiPvk72v1fcZauz9K9QrUlQuOPI4bHPlFY8w11tp63IDLeOAxa21NQFnfAO96wrdS+IRqIaYLrQ0hmZa57QG+HqIFfqh3396c96/30D9S38VmktspE7iuw+nFvFaNZ40x7wAbcd2IluICXmdFcu4jeS2F+jBTE2JZ5w5szIW4iyPtwn0dH+r8dLZ+4T5o9ejA9xC6tZXauKt6Xgh8BJwT4sOPr9wjXdj9M16rcKj9ZeEGnBbgxoN0pbXXF4KGG2NSwvx+x7Qq2y5jzNm4MQ4VuG95XgH2+FoDjTFv4EJsuNdNV14P3f7NQyS82VHOjHS7Vu95Z3j3pxtjTmlV1Dew/Brv/K621l7biUPs9+7DfZAKV6+Dxpif4L7puhP3f7arOpqMpL3fd1ffG8K9HkJ9U+Wr3z9pmUQhnFDfgHTl/fVQ39O7ldcj4kbc/7GvGmNutG4q3M5su8UY8x+4cTHXEf4b3EPl+6DaqXpFQuG+j/Ba6v+Aa6W6yBjzf7iBe9B7c9vv8u7Hh1k/LtIdWmv3GGNexl005jTc1/whZ8nBvcnU4Fo2v3aIrduHannAzx3NqLEcN39zb9mBu4peQTtlfFN/VhHBG4e1drcxZh2uz3u4b0e6g6/1KtxMSoHrdnfXQY0xx+E+sFTigv2uMEU/xX2DkY+bcabH6xbGLtzvOZ+Wv88erYcx5lxc94XPgFM76D4WqttZR7YRoruHNzPO33Gv7WdwF1mLOAhZaw8YY7bizs1MWmZDCuSbknR1J3d7tnd/s7X29yHWd2mq3TB8v+e8MOvDLe9uR9K13+/yEMsWtVO+kMjOn2+KwvR2S4X2APAt3BWK25v73DeTWZtvf4yb1jenC8c+VOH+L/uWB74/+AL9f1lrf0fvaPc93fs2Oc972NPvmz6+bzZ9Xebe6cK27c2Cdah8r+Fuv4K4psLsWx7x7s/0bmPppbntPf/y7r8YZn24qTo74uvWcqE3DeBs3B/O64GFvK4i/4f72vvMLh7rkJngue0/Z601oW64bjnQxTnvD8EK7/7Mdsr4+pT+KzAgtequ04Y3TVme9zDc18fd4T3cB48CY0yb8RPGmCNx06fVE+JqzF3hjTN4Gvf6+rK1dnU7xX2B8Pww632h59Uw67tLR/XwfVDulnoYY47GTVlYBZzeUbescH8bHdxuC3HcYbjuP0fg+rF+yXs/6KrnvPs2Y4SMu3LleNwMI290cn++f8Jtzocx5gS694Ow73f55TB/r+1NwdptrLW3deX322ofRe2U8zXufMNbVtTJepXi3pvSTIQXpvK+abnde3hnO0V94TNUsDse981zbws33s33fznwQ6yvL/jZ9B7f5ATHGmNCNQSegWup3kvL+KOeFvihMdILZPm27bYLawUyxgzHjQ0o5xC7mYaicN+H2JY575No6cfd43PbB3gK9wnySGPMtwJXePPodvUCKs/gBtJ8DtdqAu55hfpq7nZc//QHTIiLZhhj4o27QFbYC3d0A9/c9iW0/8HqNdw/+0OZ874rHsadz+ONMTe2/mBh3IVxbvAe/qLVtncYY+4xxkxtvVNv/uXf4oLMQbz++D3B647le43/pwm4BoHXgusbGPb77uiS5u3/Rdxzu9Za+0IHm/ha9082xnw1cIXXsv153FiYXx1q3Trw/3D9Rb9qjDm5VT1uwrWuluAG1R0SY0wB7m81HjjPWhtujvhuZdz1Dv4HNwDuFdxg8w6vAWGMmWuMWed909TavbgPhpeagOsAeP9QH/Ae3h2uu1EIvmNcFjg3uHEXMerWgcy49+HPcONNvh24wrhrLxzKYNqBoqOJFdrzMG7w6nxa5kFv7RXv/kpv7nbA/zdyfxeO2R0WmlbXeDHGXIUbl1cK/FfAqmdwA7uXeu/3bbowGWOmt35vOxTW2u24QbPxwIPGGH/XUOOuLn2X9/DebhpY3S7vOfuOuYkI+vh7fe59f3vPd3PVfObRMgC528+HuuX0PY/g+npnBjzuFd6Av4twrV6/MMYsx83NO86r0//DDZCK6OJL1tpaY8x/4+bzv9xbHGqQKtbad7zj/g74qzFmM+4iEnW4frJTcJ/+v443QLcHLPfu/9Re66E3QOgJ3JvAclzL46E61RjTXkv1t621rxljvowLAT/DXVr9XdxFRibT0o3oFmtt6w8nybjf4bXe4KaPcEE+B/eNyjDcuV5uQ898052+j5up52hgszHmn7j+qMfjru/wDnBjNx3r67juLfuB2eH6ivv6C3uzSVyE6/f9sDHmatw/h0Kvzk24/uDtDQg+ZNba1caY63Bh9W/GmJW4Vp4ZwHTc+ItzrbUV4ffSad/DDe78FFjmBcnWSq21N4RYfijupGWmrjJcMAhV7iFrbeC3fUmE+crcWrvNGPN14CHg78aYV3Dd047HPceXafvBtz3/D/dtzanARmPMW7jB/0W4QfIldNNl6q211caYC3CzOP3UuIulrcF9o7bAq8s3u+NY/dhzuG8wFuO+jes0a22jMeZW3AfipDDFnsQ1kEwHPvb+7tJwgewZ3JircN1kesp/4hq9LsUNgJ2M63bWiLuGwgFfQa+b75m4CzleCyw3xnyA+9A4Etd1Jh93PZFQ3cy66uu4C199Dthi3KxyQ3G/p2Tca/rubjyez3e83AAuMOfgPriNwP1/uyhcgG71vyAelzMW4vLxWiIf0N9ZvkaHnvnwYLt5bk3dDu2GC1e+iwx1OLd9q20f8ba77RDrMBfXynnAq8sqXKv90d7+32hVPo8O5qnF9bn0zfv6r07UYSLwS9zXd9W4VtSNuDf1y4D0VuWtezmH3FeH9Wt1/n1z23c43zsuZFkC5rwngjnrA/bj26aj25kB20zAtSKt9X5Pdbjg9yRwTJjjZOC+xn0Y17KzB/ehoALX//geAub072Tdl7f3fAOeW5vXJW5miOtxV0Ct8s79B7hZSRIjPVa4Mp09vyH2daR3Pn3naS/uQ9WcMMfeRjvzFrf3Ou3gHBfh/gmU4j5cf4r7ew95YTu6MM99wDbt3Tr8G+rCc+vMcds8F++ctHs+vTIv4YJ9DS4k3wjEdaGehbirju7y9rXOe10lEGZe9HDLO/N6wQW3/6Hlffht3N9uXqS/C7pwEauevtHFee69beO9v8kSAq4R0Nl94wLgBwGvrdNClBmJe5/ci3tvXYcL/DHhfm8d/D59r9cVHZyP1q9z/2sINzj0NVxgPYj7ZnlhO+cpEdeY87r3N1DvvX7fxH1LPqMzdYjwdzMM+BFurvwar56rcME/tp3XZqdfzyHOd+tbFa5h8l5gbHt/D61uzbgGoFW4RrukENsub+/3GFDuNsL8r/JeQzu930mbY3THzXgHEumQMeZm3BzBv7TW9trUeCIiIoGMMT/EXWxumbX2r9Guj0hnGWOW4L7p/7nt/m9C3TEU7iWQMSYH16r1aavlJ+O+/kwC5tmenSNYREQkLG+M0EZgl7V2VrTrI9JZxpjXcF2+JlprO30xtkioz720Nht4zhjzIe4rr2bc1RgP89b/RMFeRESiybp5638A/MYYs8xaG1Hfe5Fo8FrtjwG+1VPBHtRyL60Yd3n17+KuTJmDm+d3H27qwl/bMBefEREREZHoU7gXERERERkg1C2nG2VmZtq8vLxeP25VVRXJyckdFxRA5ytSOl+R0zmLjM5XZHS+IqPzFRmdr8hE63y99957pdbakBfQU7jvRnl5ebz77ru9ftwVK1ZQVFTU68ftr3S+IqPzFTmds8jofEVG5ysyOl+R0fmKTLTOlzFme7h1ukKtiIiIiMgAoXAvIiIiIjJAKNyLiIiIiAwQCvciIiIiIgOEwr2IiIiIyAChcC8iIiIiMkAo3IuIiIiIDBAK9yIiIiIiA4TCvYiIiIjIAKFwLyIiIiIyQCjci4iIiIgMEAr3IiIiIiIDhMK9iIiIiMgAoXAvIiIiIjJAKNyLiIiIiAwQCvciIiIiIgOEwr2IiIiIyAARF+0KiIiIiIj0VY3NjRRXF/NZ1WfuVunud1ftJq4ijiKKol3FIAr3IiIiIjJoVdZXtgnugbfi6mKabXPQNiMSRpCTnMMoMypKtQ5P4V5EREREBqSm5iZKakrYU7WH3ZW7/YF9T9UedlftZk/lHg42HAzaJs7EkZ2czaiUUczNmetCfPIocpNzyUnJITc5l8S4RABWrFgRhWfVPoV7EREREemXqhqqglrb91TtCWqFL64uptE2Bm2TOiSVUcmjGJ08mlkjZ5Gbksuo5FHkJLvgnpmYSWxMbJSe0aFTuBcRERGRPqexuZHSmtI2gT2wy8zB+tCt7jnJORyVfVRQaM9NziU3JZfk+OQoPaPeoXAvIiIiIr3uYP3Bltb2EK3vxdXFNNmmoG2GDRlGbrJraZ85cia5KbnkJOUwKsWF+KzErH7d6t4dFO5FREREpFs1NDWwt3qvP6wHtr77Hlc2VAZtE9jqPjt7tmtxT8n1t7rnJOcM+Fb37hD1cG+MGQPcBMwGjgASgXxr7baAMicAXwUWAKOA3cDLwK3W2uIO9r8c+H07RXKttXu8siuA40KU+Za19t5OPSERERGRAcxay766fS6oV+5hT3VLy7svxJfWlGKxQdv5ZpgZlzqOuTlzGZUyiuzkbH94zxiaMehb3btD1MM9UAh8EXgP+BewJESZK4AU4A5gCzAR+CFwsjFmhrW2MsQ2Pi/gPhQEMsDzwBZfsA/wIfC1Vsu2dfw0RERERPq/6oZq9lTvaQnuAaHd1+pe11QXtE1CbAK5yblkJ2ezaPQif2D3hfec5Bz/DDPSs/pCuH/NWpsNYIy5lNDh/kprbUnA41eNMRuAV3EfDB4Ot3Nvu8BtMcYcA2QAt4bY5KC1dlVkT0FERESk72tobqCkuqRNd5m9Va4Lzc4DO6n+r+qgbQyGrKQscpNzmZI+hePHHk9Oco5/oGpOcg4jEkZgjInSs5JAUQ/31ra6KkDoMiUhFr/j3Y/uwmEvAuqBJ7uwrYiIiEifY62lvLbcH9p93WUCW99La0rbXJBp2JBh/qCe1ZDFrEmzgmaYyUrKIj4mPkrPSiIV9XB/CHx949dGspExJhE4B/gfa21ZiCJHGWMOAEnevu+z1v7ukGoqIiIicogO1h9sE9z3Vu8Nan2vb64P2iYhNoHsJNc1ZkHugjYt7q0Hqa5YsYKiw4t6+ZlJdzLW2o5L9RKvW85vaTWgNkS5VFzLfTMww9pWVydo/xjnAv8FnGGtfa7Vuh8BO4ENwHDgQmAZ8ANr7R1h9nc5cDlAdnb2rCef7P0vAyorK0lJSen14/ZXOl+R0fmKnM5ZZHS+IqPzFZn+cr7qm+vZ37SffY37/Pf7mvYFPa61tUHbGAzDY4czPG44I2JHMCJuRND98LjhpMSkRNRdpr+cr74iWufr+OOPf89aOzvUun4X7o0xccAzuJb7RdbaDyM8xkvATGBUZz4UGGP+CiwFsjoYuMvs2bPtu+++G0l1usWKFSsoKirq9eP2VzpfkdH5ipzOWWR0viKj8xWZvnC+fP3cQ3WX2VvlWt731e1rs1360HTXup6U429lD2x5z0zMJC6mezth9IXz1Z9E63wZY8KG+37VLccYEwM8CpwInNqFYJ/rbXt/BK39TwBnAocDb0ZyPBERERnYmpqb3FVUq/f4w7uvq4wvuJfUlLSZFjI1PtU/p/thmYe1dJPxgnx2cjYJsQlRelbSn/WrcA/8CvgScLa19h9d2P58IBb3AaGzfN9l9Z2vOERERKTH+QeoBgZ3L7D7lpVUl9DYqr0wMS6R7CQX3BeOXhiy9V0XY5Ke0m/CvTHm58ClwEXW2me6uJsLgQ+ttasj2OY8oAb4qIvHFBERkT7GWsuBugP+kL63am9QiPe1wDc0NwRtFx8T7w/us7JnhQzuw4YM07SQEjV9ItwbY872fpzl3Z9ijCkBSqy1rxpjbgKuw81nv9EYMz9g8xJr7eaAfTUCj1prL2l1jJnAdOD6MHU4BvgO8DTuolVpuCkzPw98x1pbdWjPUkRERHqDtZaK+gr2VO1hTfUaitcXB3eXqd7L3qq91DYFD1CNM3GMTBpJTnIOh2cdzknJJ/mDvC/Epw9NV3CXPq1PhHvgz60eP+DdvwoUAad4jy/2boEeBZYHPI71bq1dBDQCfwxTh8+AGOBHQCbQgLta7XnW2ic6egIiIiLS86y1HGw42Ka13ffz3qq97K3eS01jTctGJRBrYslKyiI7KZsp6VMoGlPk7/Pua3nPSMwgxsRE78mJdIM+Ee6tte1+BLbWFh3qvqy11wDXtLPdJlo+RIiIiEgv87W4t25hb93qHhTcgRgTQ1ZiFtnJ2UwaMYljxhzjb3HfvX43pxx9So/MLCPSF+lVLiIiIj0usKuML6j7A7wX4sMF98zETHKScpg4YmJQcPfdtxfcV2xbQU5yTm88RZE+QeFeREREDom1lv11+4Na232hvb0+7q1b3I8efbS/f3tngruItKW/FhEREQmr2TZTXlvepotMUIiv2kt9c33Qdr4+7jlJOUxJn8JxY47zB3bfoFUFd5Hup78oERGRQaqxuZHSmtI2Qb24urglwFfvpbE5eB73uJg4spOyyU7KZnrmdE4Yd4K/tT07KZvs5GwyhmYQGxNqfgsR6UkK9yIiIgNQfVN9S0j3gnvg4z3VeyitKaXZNgdtlxCb4G9ZP2rkUf6wHhjc04ema1YZkT5K4V5ERKSfqW6oZk/1HhfWA4N7QF/38tryNtslxSX5u8UsyF3gD/GBre5pCWmax12kH1O4FxER6SN8A1ODusVUBbe4767YTc32mjbbpiWk+QP6YZmH+X/2BfjspGxShqRE4VmJSG9SuBcREekFgf3bfa3sxdXFQS3wxdXFbQamGgxZiVmMTBpJXloeo5tHM3PizKCuMiOTRjI0bmiUnpmI9CUK9yIiIoeouqGa4urioBb3wMBeXF1MaW3b/u3xMfGMTBpJdlI2h2cdHhTWfS3uGYkZxMfE+7dZsWIFRYcX9fIzFJH+QuFeREQkjGbbzL7afUHBPfDe9/PB+oNttk2NTyU72QX1whGF/hDv6/OenZTN8ITh6t8uIt1K4V5ERAalwNlkWof3wFtDc0PQdjEmhoyhGWQnZTMudRyzs2f7u8j4QvvIpJEkxSdF6ZmJyGCmcC8iIgNK4KDUwFvr4L6vbl+bbRPjEv1dYo4ceaQ/rAd2ldGFl0SkL9O7k4iI9BvNtpmymjI+q/qMz6o+Y0/VnjYBvqS6pM2gVID0oen+bjEzsmYEtbKPTBpJdnI2qfGp6iYjIv2awr2IiPQZNY01LrRX7vEHeP+t8jP2VO9pc7XUobFD/QH9iKwjyE7KJispKyi8ZyVmER8bH+aoIiIDh8K9iIj0imbbTHltOZ9VfhbU8v5h8Yc88PwD7Kna06arTIyJISsxi1Epo5iRNYOTk08mNzmX3JRc/9ztw4YMU2u7iIhH4V5ERLpFTWMNe6r2+EO7v7U9YFnr7jJJcUmkmTQKEguYnjmdUSmjyEnOITc5l1HJo8hKylL/dhGRCOgdU0REOtRsmymtKW1pcQ/oNuML7/vr9gdt42t1z03O5bCMwzhh/AnkJueSk5TDqJRR5KbkkhqfyquvvkpRUVFUnpeIyECjcC8iIlTWV7a0sFfvCWpx/6zqM/ZW723T1z05Ppnc5Fyyk7OZnjnd310mN9ndspKygi6+JCIiPU/hXkRkgGtoamBv9d6g7jGBQX5P5R4ONgRfhCnWxPpnljki6wjX4p6cE9RtJnVIapSekYiIhKNwLyLSj1lrKastY2/V3qAuMoEBvrSmFIsN2i4tIY3c5FxGp4xmdvZsf3j33WclZhEbExulZyUiIl2lcC8i0odV1le2hPXqPf7Q7gvue6v2thmkOjR2KDnJOeQk57Bo9CJ/YPeF9+ykbF09VURkgFK4FxGJkrqmOvZWteouU90S2vdU7aGyoTJom1gTS1aSG6Q6PWM6J44/kZyknKBW9+EJwzU1pIjIIKVwLyLSAxqbGympLvG3tgd2ldlTtYe91Xspry1vs53vKqpjU8cyN2duUGjPSc4hMzFTU0OKiEhY+g8hIhKhZttMWU1ZyK4ye6r3sKN8BxWPV9Bsm4O2S4lPcRdeSs5mWsa0oK4yvgsyDY0bGqVnJSIiA4HCvYhIAGst++r2udb1qr1twvve6r0hp4VMiE1wYT0ph0lDJ3FkwZH+x74Qr9llRESkpynci8igYa3lQN0B/7SQvpb2wBAfaoBqXEycf1rII0ce6f85MLgH9nNfsWIFRUcV9f4TFBGRQU/hXkQGBGstFfUV/tb1oJb2qr3+Fveaxpqg7WJNLCOTRpKTnOOuojruBH9wz052IT59aDoxJiZKz0xERKTzFO5FpM9rN7gHhPfWwT3GxJCVmEVOcg6T0ydz7Jhj/S3tvtb3jKEZms9dREQGDIV7EYmqwK4yXQnu2cnZTBoxiWPGHONvbfcFd80sIyIig43+64lIj2k9OLV1YPf9XNtUG7Sdby737KRsJo6YyDFjjvEHdgV3ERGR8PSfUUS6pKm5ifLacn9A31Pdqn+7d9/Q3BC0XZyJIyvJdZWZmj6VojFF5CTn+Pu9Zydlk5GYoeAuIiLSBfrvKSJtNDQ1UFJTwt7qvbxX9R7bP97epsW9pLqEJtsUtN2QmCFkJ2czMmkkh2cdzknJJ7mW9oDuMulD09XHXUREpIco3IsMMtUN1RRXF7O3eq//PjC0F1cXU1ZThsW2bFQKiXGJZCdlk52czdycuf7uMYEt7oHTQYqIiEjvU7gXGSBaD0z1h/eqgBBfvZeD9QfbbDtsyDBGJo0kOymbqelTyU5yre/Zydns+HgHpxWdRmp8qoK7iIhIH6dwL9IPNDY3UlpTGtzi3qq1vbi6mLqmuqDtDIbMxExGJo1kXOo4ZmfP9neP8QX4kUkjSYpPCnvsFRtXMGzIsJ5+iiIiItINFO5Foqy6oTqoi0zr1vbi6mLKastots1B28XHxPtb26dnTCd7XLb/sa+rTEZiBvEx8VF6ZiIiItLbFO5FekizbfbPJlNcVRwU1gNvBxvadpNJHZLqD+mTRkzyt7D7+ryPTBrJiIQR6iYjIiIiQRTuRbrANyjVF9hLakqCHhdXF1NaXUqjbQzaLtbEkpmYSXZSNvlp+czLnecP7r7BqVmJWe12kxEREREJR+FeJEBTcxNltWWUVJcEtbL7fi6pLgnb2p4cn+wP6nNz5vp/DuwqkzE0Q9NAioiISI9RuJdBwVrLwYaDFFcVs65mHfs37Q/qGuML7aW1pW36trdubZ+bOzcosPtuyfHJUXp2IiIiIo7CvfR7tY21LpzXFPtb3H2PfcG9pKaEmsaalo2K3V1aQhpZiVlkJ2UzccREspKy/KHd9/OIhBFqbRcREZF+QeFe+qzG5kbKasr8V0r1ta4XVxcH9XGvqK9os21CbIK///phGYeRlZTlb2HftX4XJy88maykLIbGDY3CMxMRERHpGQr30uuabTP7avf5A3pgq3tgi3ubq6TS0kUmKzGLcanjmJU9i+ykbBfeE0f6Q/ywIcPCziSzYvsKxg4b2xtPVURERKRXKdxLt/FdIbW4xs0U4wvsvpZ2X3APNYsMQPrQdLISs8hKymJK+hR/y7u6yIiIiIh0TtTDvTFmDHATMBs4AkgE8q212wLKnAB8FVgAjAJ2Ay8Dt1priztxjG3A+BCrzrLWPtOq7GXA9UA+sA24x1r7qwif1oBiraWivqIlnHtXSvX1ZffdF1cX09Dc0Gb7YUOG+YP63LS5bUL7yMSRZCZmEh+riy2JiIiIHIqoh3ugEPgi8B7wL2BJiDJXACnAHcAWYCLwQ+BkY8wMa21lJ47zv8BtrZatD3zgBftfAz8B/g84AXjAGGOstQ929gn1F77Q7gvr/tDeKrCX1pRS11TXZvuU+BT/LDJHjTwqqGuMrwU+K1H92kVERER6S18I969Za7MBjDGXEjrcX2mtLQl4/KoxZgPwKu6DwcOdOE6ptXZVuJXGmDjgx8AfrLU3e4tfMcaMAm43xjxkrW3bLN0H+brHlNQEt6y3DvEdhfaRSSM5cuSRLqh7Le2+5ZmJmbrQkoiIiEgfE/Vwb22rScVDlykJsfgd7350N1VlAZAFPN5q+R9wXYKOBl7ppmN1mzd2v8F/l/03z7zyjAvw1aWU1JSE7B7jC+1ZSVkckXVEUFgPbGlXaBcRERHpn6Ie7g/Bcd792k6WP90YUw3EAv8Gftqqv/1h3v2aVtt97N1Pow+G+3Xl63iv+j1yY3PJSspiVvYsMpMy/a3tvsCulnYRERGRgc9Yazsu1Uu8bjm/pdWA2hDlUnEt983ADGtDTL0SXP5+r/xWIBu4Gvfh4AJr7eNeme/huuUkWmtrA7aNAxqAW6y1t4fY9+XA5QDZ2dmznnzyyU4/3+5graWqqoqUlJRePW5/VllZqfMVAZ2vyOmcRUbnKzI6X5HR+YqMzldkonW+jj/++PestbNDret3Lfde2H4C1x1nUUfBHsBa+41W+/grsAo3cNbXDcc3KXpEn3astb8BfgMwe/ZsW1RUFMnm3WLFihVE47j9lc5XZHS+IqdzFhmdr8jofEVG5ysyOl+R6YvnKybaFYiEMSYGeBQ4ETjTWvthV/ZjrW0C/gyMMcbkeovLvfv0VsXTW60XEREREemT+lW4B34FfAn4srX2H4e4r9Yt9b6+9Ye1KjfNu//kEI8nIiIiItKj+k24N8b8HLgU+GrrC091YV9xwDnADmvtHm/xm0Ap8JVWxc/HtdqvPJRjioiIiIj0tD7R594Yc7b34yzv/hRjTAlQYq191RhzE3Adbj77jcaY+QGbl1hrNwfsqxF41Fp7iff4XOAM4EVgJ25A7VXesc71bWetbTDG/AB30apduItYLQYuBr5hra3v7uctIiIiItKd+kS4x/V/D/SAd/8qUASc4j2+2LsFehRYHvA41rv5bAVGAnfh+s9X42bOWWqt/d/AHVlrf2WMscD1wI3ADuBqa+0DiIiIiIj0cX0i3FtrTQfri7q6L++qtIsj2P7XwK87W15EREREpK/oN33uRURERESkfQr3IiIiIiIDhMK9iIiIiMgAoXAvIiIiIjJAKNyLiIiIiAwQCvciIiIiIgOEwr2IiIiIyAChcC8iIiIiMkAo3IuIiIiIDBAK9yIiIiIiA4TCvYiIiIjIAKFwLyIiIiIyQCjci4iIiIgMEAr3IiIiIiIDhMK9iIiIiMgAoXAvIiIiIjJAKNyLiIiIiAwQCvciIiIiIgOEwr2IiIiIyAChcC8iIiIiMkAo3IuIiIiIDBAK9yIiIiIiA4TCvYiIiIjIAKFwLyIiIiIyQCjci4iIiIgMEAr3IiIiIiIDhMK9iIiIiMgAoXAvIiIiIjJAKNyLiIiIiAwQCvciIiIiIgOEwr2IiIiIyAChcC8iIiIiMkAo3IuIiIiIDBAK9yIiIiIiA4TCvYiIiIjIAKFwLyIiIiIyQCjci4iIiIgMEAr3IiIiIiIDRFy0KyAiIiIi0ufVHoC9n8DeNbD3Y9j7MVMaUqCoKNo1C6JwLyIiIiLi09QIZZtaQnzxJ+7+wM6WMkPTIHs6NXG50atnGAr3IiIiIjL4WAuVe/2t8C7Er4GS9dBU78rExEHGRBg3H0ZeDNnTIfswGDYKjGH7ihXkR/dZtKFwLyIiIiIDW301lKz1utV8DMVeoK8uaymTkuOC+4TjvRA/DTInQVxC9OrdBQr3IiIiIjIwNDfDvq0tXWl8t/ItgHVl4pNg5FSY/LmWlvjswyApPapV7y4K9yIiIiLS/1SVeS3wXnea4k+geC00VHsFDKRPcC3wM74II6e5ED8iH2IG7oSRCvciIiIi0nc11ELp+uAQv/cTqNzTUiYpwwX3mRe5MJ99GGRNgSHJ0at3lEQ93BtjxgA3AbOBI4BEIN9auy2gzAnAV4EFwChgN/AycKu1triD/U8CrgKOByYAB4F3gB9Yaz9oVXYFcFyI3XzLWntv5M9ORERERDqluRn2b28J775W+bJNYJtcmdgEyJoMBYtdiPe1xqdkgzHRrX8fEfVwDxQCXwTeA/4FLAlR5gogBbgD2AJMBH4InGyMmWGtrWxn/0twwf5R4H1gOPBt4C1jzCJr7Xutyn8IfK3Vsm0RPB8RERERaU91ecAsNV6IL1kH9QGRbkQejDwMpn2+JcSnF0BsX4ivfVdfODuvWWuzAYwxlxI63F9prS0JePyqMWYD8Crug8HD7ez/SeCX1lrrW2CM+ScusF8DXNiq/EFr7aqIn4WIiIiIBGuodaHdN8A1VJeaxHQX3I/8itcafxiMnAIJqdGrdz8W9XBvrW3uRJmSEIvf8e5Hd7BtaYhlB7wPB+1uKyIiIiKd0NwE+7Z5AX5tS2t8+WbwRb24oepS0wuiHu4Pga9v/NpINzTGpAPTgd+HWH2UMeYAkOTt+z5r7e+6XEsRERGRgaSyOLgVvvhjd+GnwFlqRuS54H7YWd4A1+lu5pqY2GjWfFAwAb1Vos7rlvNbWg2oDVEuFddy3wzMsNY2RnicPwJnedtuClj+I2AnsAHXN/9CYBlu8O0dYfZ1OXA5QHZ29qwnn3wykqp0i8rKSlJSUnr9uP2VzldkdL4ip3MWGZ2vyOh8RUbnKzKB5yu2sYak6h2kVG4nucp328GQhgP+8vXxaVQlj6cqeTyVKeO9n8fRHDs0Wk+hV0Xr9XX88ce/Z62dHWpdvwv3xpg44Blcy/0ia+2HER7ju8CdwCXW2vb66vvK/xVYCmR1MHCX2bNn23fffTeS6nSLFStWUFRU1OvH7a90viKj8xU5nbPI6HxFRucrMjpfndDU4Gak2fsx2995ifGJVa5lfv/2ljK+Cz/5utKM9LrVpGRFr959QLReX8aYsOG+X3XLMcbE4Ga9ORE4tQvB/gpcsP9+Z4K95wngTOBw4M1IjiciIiLSZ1gLB3Z6XWk+aelWU7oBmhsAGEcMZE6EUUfBUed7YX4aDM8b0Bd+Gkj6VbgHfgV8CTjbWvuPSDY0xlwAPAD83Fr740g29e77zlccIiIiIu3xXb21eG1A3/i1UH+wpUzaWNcaP/Ekf4h/7ZM9HLf4pOjVWw5Zvwn3xpifA5cCF1lrn4lw27Nwg2cfstbeEOGhzwNqgI8i3E5ERESkZ9VVusGsrYN8VcA1PhNHuOkljzzX61rjTTU5NK3N7uy6sl6svPSEPhHujTFnez/O8u5PMcaUACXW2leNMTcB1+Hms99ojJkfsHmJtXZzwL4agUettZd4j4/Fda35EHik1bZ11tp/e+WOAb4DPI2bAz8NuAj4PPAda21Vdz5nERERkU5rrHf94n3daXxBft+2ljJxiS60+1riR07VVJODUJ8I98CfWz1+wLt/FSgCTvEeX+zdAj0KLA94HOvdfBYDCcBRwMpW224H8ryfPwNigB8BmUAD7gPBedbaJzr7RERERES6rLkZ9m9rCe/Fa11LfNlGaPYmBzSxkFHo+sUf+ZWWga4j8jTVpPSNcG+tbffjpLW2qKv7stbeBtzWie020fIhQkRERKTnWAuVe4P7wxd/4q7m6p8vHhg+zgX3yUu97jRT3YDXuITo1V36tD4R7kVEREQGrJp9wS3xvp9r9rWUSR7pgvvMi1pa4kdOgYTU6NVb+iWFexEREZHuUF/lWt4DA3zxWjj4WUuZhGEuvE87o6VffNbUQT9fvHQfhXsRERGRSDTWuz7wQa3xn8C+7fhnzo4bClmTYUJRS0t81hRIG6PBrdKjFO5FREREQmlqhH1b27bEl29uGdwaEwcZE2HUzJbBrVlTIT1fg1slKhTuRUREZHBrbnZXbg0c1Fr8CZRsgKY6r5BxgT1rKkw9vaU1PqMQ4oZEtfoigRTuRUREZHCw1vV/97fEr4WStVC8DhoCLmczbIwL7xOO90L8VMicDEOSold3kU5SuBcREZGBp7IEij9h9Kf/A8//1QX4krVQe6CljH+Gmgtcf/jsw1w/+RBXbhXpLxTuRUREpP+qLm/pRlO8ruXn6jIAJgIMHe660Ew/u6UlPmsqJGdEs+YiPULhXkRERPq+2gNQsj4gxHvdaSr3tJQZkurmhp/8OX+If2PTfhYuOUsz1MigoXAvIiIifUddpQvxJYH94tdBxa6WMvFJrvtMwWIX5tuZZrJ+5woFexlUFO5FRESk99VXQ+n64Fb4krWwf0dLmdgEyJoE4xcFh/jh4yEmJnp1F+nDFO5FRESk5zTUQumG4JlpStYGX/ApJh4yJ8GYOXDUhS1BfkSe5ooXiZDCvYiIiBy6hlrvqq1eeC9Z7wL9vq1gm12ZmDg3L3zukXDEua4VfuRUSJ8AsfFRrb7IQKFwLyIiIp3XUAtlm7xZabz+8CXroHxLS4g3sS7E50yHw89xLfFZUyC9QBd8EulhCvciIiLSVmMdlG5sCe++IN86xKdPcK3vhy3zQvxUXbVVJIoiCvfGmOOARcAoXEe5z4CV1tpXe6BuIiIi0tNah/iSda5rTfkWsE2ujC/EZ02Bw85q6U6TUQhxCdGtv4gE6VS490L9g8Bk3yLv3nrr1wFXKuSLiIj0UYHdafwt8etbhfiYgBB/prvPmgKZExXiRfqJDsO9MeYLwBNe2d3ACmAnLuCPAYqAqcDfjTFfttY+3VOVFRERkQ74ZqcpWR/cGh+qO03WZIV4kQGm3XBvjBkFPAo0At8AHrLW9/HeXyYGuAS4F3jMGLPKWru7Z6orIiIigJsn3j87zbqWCz/t2xa+T3zWZHWnERngOmq5vxZIAr5grf1rqALW2mbgt8aYEuBp4Brgpu6spIiIyKBVVxnUEj993Ur44JpW88THuZlocg53s9P4WuI1sFVk0Oko3C8F3goX7ANZa58xxrwFnILCvYiISGRqK7wQHzCotWQ9HAi4YmtMPIlDcyF/Vss88VlTXOu8QryI0HG4Hw88FMH+3gAu63p1REREBriafQH94QPuK3a1lIlNcP3fx86FWRe2hPgR+bzzr9cpKiqKWvVFpG/rKNzHA/UR7K8B0HWiRUREqkoDBrQGhPjKvS1l4pNciM87xvWHz5ri7kfkQYz+nYpI5DoK958Bh0ewv8OAPV2vjoiISD9iLRz8zAvv66F0fUuQry5rKTckFbImQeFJwSE+bSzExESv/iIy4HQU7l8DzjPGTLHWrmuvoDFmKnAy8MfuqpyIiEif0NwMB3YGt8D7gnxdRUu5ocNdaJ9yWkuAz5oCw0aBMWF3LyLSXToK9/8JXAT8jzHm89baT0IV8oL987guOb/s3iqKiIj0kqZG2Le1bSt86UZoqG4plzzSBfcZX/IC/GTInAwpIxXiRSSq2g331tr3jDF3ATcC7xtjngb+gbuIlQXGAScCZwFDgJ9ba9/t2SqLiIgcIt/VWv0B3ruVb4amgKFmw0a74D5rUUsrfOYkSEqPXt1FRNrR4RVqrbU3GWOqgO8DXwa+1KqIAZqA24HburuCIiIiXVZ3MGCO+PUtU00GXegpBoaPd8F90skBLfGTICE1qtUXEYlUh+EewFr7I2PMo8DFwCIgFxfqPwNeBx6x1m7tsVqKiIi0p6rMa4VfByUbWlrkA6eXjImHjIALPWVOarnQU/zQ6NVdRKQbdSrcA1hrtwO39mBdREREwrPWhXV/C3zADDWBM9PEJ3vTSx7dEuB900vGxket+iIivaHT4V5ERKRXtBnU6rXEl26E+sqWcokj3CDWKad6feEnu+kmh43R9JIiMmh1GO6NMV8H0oCfWes6KBpjrgGuCVH8VWvtV7u3iiIiMiDVV0PZRkbufRX++XpLi3zZZmhuaCmXOsqF9iO/4u4zvYGtyZmamUZEpJV2w70xZiZuOsyf+IK9ZziQF2KT8caY+6y1q7urgiIi0s9Vl7dthS/ZAAd2ADANYF0MjMh33WcmLW2ZWjJzIgwdFtXqi4j0Jx213J8L1AP3hlhngXjcwFqAEbgpMs8HVndP9UREpF9oboaKT73wviE4yAf2h49LhMxCGDsXZl4AmZN4e1sFc0/+EsQlRK/+IiIDREfh/hjgTWttaaiVrVrzS40x/+dtIyIiA1FjvZsLvsTrA++blaZsU/BFngL7w2cGTC2ZNrZNf/jqkhUK9iIi3aSjcD8R+EOI5YaWFvtA24AFh1gnERGJtpr9XngPGMxast6bH76ppVzauOCZaTInuSCfnBmtmouIDGodhftU4GCI5b8HXgmxfL+3jYiI9HVBU0v6grx3q9zbUi4m3s0Fn30YTF/W0hc+cyIMSY5e/UVEpI2Owv1BoM01tr0577eHKJ8OVHVDvUREpLs01kH5Fm9u+IAAX7oRGgLeshPS3Gw0hSe2tMBnTnJXb43VzMkiIv1BR+/W24C5EexvrreNiIj0turytl1pSjd4XWkChkiljXWt7jMv9FrgfV1psjS1pIhIP9dRuH8VuMYYM99au6q9gsaYBcAs4J7uqpyIiLTS3AT7d7TqRuP9XB0w90FsgutKkzMDDj/H6w8/0S1TVxoRkQGro3D/IPBN4AljzCnW2nWhChljJgP/BTQBv+reKoqIDEJ1lVC2EUo3BYf4sk3QVNdSLinTBfcpn/P6wnshfvg4iImNXv1FRCQq2g331tqNxpjbgVuBfxtj/owbSLsLN8/9aOAE4GwgAbjNWruxZ6ssIjJAWAsVu70Q36olvmJXSzkTAyPyXHAvOD74Ak9JbYZFiYjIINbhCClr7Q+N64N5M+4CVV9pVcQAjbhg/6Nur6GISH/XUOvmhg/sQuNrha+vbCk3JLVlWsmMiW5wa+YkSJ+geeBFRKRTOjX9gRfwHwMuBhYCObhQ/xmwEnjEWrulx2opItLXWQuVxVC6nlG7/gZ/e8lrkd8A+3fivuz0+OaGHzff9YHPmuzCfGqOBrSKiMgh6fTcZtbarcAPerAuIiJ9ny/El6yF4nVQ4t2K10LtfgAmAcQnueA+Zi4c+ZWWEJ9eAEOSovkMRERkAIv6xMXGmDHATcBs4AggEci31m4LKHMC8FXc1W9HAbuBl4FbrbXFnThGjHeMr+G+dVgP/Mha+5cQZS8DrgfycdN63mOt1SBhkcGotsIF970fQ/EnLsDv/RhqylvKDB0OI6fCYWdB1hTImsybG0tZsOQLEBMTtaqLiMjgFPVwDxQCXwTeA/4FLAlR5gogBbgD2AJMBH4InGyMmWGtrQyxTaDbgRtw4wbeA74M/NkYc5q19kVfIS/Y/xr4CfB/uMHCDxhjjLX2wa4/RRHp0xpqXfeZ4rUtIb54LRzY0VJmSIoL8VNPg5HT3M9ZUyAlu01XmrqdKxTsRUQkKtoN98aYpi7s01prI/nQ8Jq1Nts73qWEDvdXWmtLAh6/aozZgJuH/4vAw+F2bowZiQv2P7XW3u0tfsUYUwj8FHjRKxcH/Bj4g7X25oByo4DbjTEPWWsbInheItLXNDdB+VYvwH/SEuTLNoP13u5i4t0g1nHzIOsiyD7Mhfm0sQrsIiLS53UUwrsysiuibawNvGxi2DIlIRa/492P7mDzk4EhwOOtlj8OPGyMyffGEywAskKU+wOuS9DRuGlARaSvs9ZNJenrRuNrkS/dAI21XiHjppfMPgymfh6yp7kQn1EIsfHRrL2IiEiXdTTPfV9upjrOu1/bQbnDgDpgU6vlH3v304CtXjmANe2UU7gX6WsqS1xwL1kX3KWmrqKlTGqu60aTf2xAl5rJulKriIgMOMZa23Gpzu7MmKHAEGttRYeFQ29/KfBbWg2oDVEuFddy3wzMsNY2tlP2N8DnrbU5rZYXAhuBC621fzDGfA/XLSfRWlsbUC4OaABusdbeHmL/lwOXA2RnZ8968sknO/t0u01lZSUpKSm9ftz+SucrMn3lfMU2VpFctcO7bff/PKThgL9MQ1wKVcnjqUoeF3A/jsb41F6ta185Z/2FzldkdL4io/MVGZ2vyETrfB1//PHvWWtnh1rX3QNqHwQu6IH9+nlh+wlcd5xF7QV73yYETTAdtDzU44g+7VhrfwP8BmD27Nm2qKgoks27xYoVK4jGcfsrna/I9Pr5qq+CkvUBLfHeNJMVn7aUiU+GkVMg//SWlviR04hPyWa4MQzvvdqGpNdYZHS+IqPzFRmdr8jofEWmL56vngjhPXYFFm9Ky0eBE4FTrbUfdmKzcmCEN+NNYHAfEbA+8D4dd3EuAh4HrheR7tBY567SWrzWmzPe6xe/bzv+z9ixCW5wa94iryvNVHevwa0iIiIh9YWpMCPxK+BLwNnW2n90cpuPgQSggOB+99O8+08CyoHre/9ZO+VEJBJNDVC+paUV3hfkA2eoMbFuIGvukXDEef6WeEbkQWx/e5sSERGJnn7zX9MY83PgUuAia+0zEWz6ElAPfAU3N77P+cAab6YcgDeBUq/c/7UqVw6s7FrNRQaJ5ibYt61lQKvvCq6lG6DZN4usgfR8F9ynft4L8VNdsI9LiGbtRUREBoQ+Ee6NMWd7P87y7k8xxpQAJdbaV40xNwHX4eaz32iMmR+weYm1dnPAvhqBR621lwBYa4uNMfcA3zXGHATex7X+LwbO8G1nrW0wxvwAd9GqXbiAvxi4GPiGtba++5+5SD/U3Az7t3t94te29I0v3RgwzSSQNs4F94knujCfNcV1sRmSFL26i4iIDHB9ItwDf271+AHv/lWgCDjFe3yxdwv0KLA84HGsdwt0M1AJXAPkAOuBL1prnw8sZK39lTHGAtcDNwI7gKuttQ8gMtg0N8OBnaSXvQuvr24J86UboKG6pdyw0S645x/X0i8+axIk9O4MNSIiItJHwr21tt1BuNbaokPZl7W2CbjDu3W0/a+BX3f2eCL9nrVw4FNvhpq1Lf3iS9ZDfSUzAD4CUnLcDDUzL3L3Wd5c8YnDo1t/ERER8Ws33BtjmnqrIiLSw/xXbV3nWuH9QX491B9sKZc80oX3I78CI6fw709rOerkcyFxRPh9i4iISJ/QUct9V6a17L6rYolI5KyFit1tW+FL1gdftTU5y3WnOfJcdz9yqrtPSg/a3YHKFQr2IiIi/US74d5aq4mkRfoqX0t8ybr2Q3xSpgvuM77kdafxutQkZ0Sv7iIiItIj+kSfexFph79P/LqAIB+iO01giM+a3NISn5wZvbqLiIhIr1K4F+krmpvhwA6v9T0gxJdugPrKlnLJI114P/Jcd+8b2KoQLyIiMugp3Iv0Nt/Fnnwh3n/bAI01LeVScrwQ/5WW7jSZk9WdRkRERMJSuBfpKU0NUL61pQuN7750AzTVtZQbNtqF+NlfDWiJn6RBrCIiIhIxhXuRQ9VYB2WbAkK8dyvbBM0NLeWGj3Ot7wVF3qDWKZA5EYamRa3qIiIiMrAo3It0Vn0VlG5s1Qq/Hsq3gG12ZUwMjMhzwX3yUteNJmuSu09IiWr1RUREZOBTuBdprWa/6zrTOsTv39FSJiYO0gtg5DQ4bJnXnWYyZBRCfGLUqi4iIiKDm8K9DE7WQlVJS3AP7E5TuaelXGwCZE6CMXPhqAtcgM+cDBkFEBsfvfqLiIiIhKBwLwNbczNUfOpmoilZB6XrOWrTO7DqM6jd31JuSIoL7gWLW1rhMye5LjYxsdGqvYiIiEhEIgr3xpjjgBuBucAIINQVbK21Vh8apHc1Nbi+7/6W+A3uvnQjNFS3lEvKwMbnwGFntQT4rMluxhpjold/ERERkW7Q6RBujDkVeAaIBXYA64HGnqmWSBj1VV5/+A0t3WlKN7hg3xzwchw2xg1knbWoJcBnToLkTFavWEFRUVHUnoKIiIhIT4mkhf02oAE41Vr7cs9UR8RTVRYc3n33B3a2lDGxkD7BBfcpp7UE+MyJkJAavbqLiIiIREkk4X468KSCvXSb5mYX1gPDu+/nmvKWcnGJLrCPmw+ZF7VMLZk+AeKGRK/+IiIiIn1MJOG+EijvsJRIaw21UL45oDuNrz/8JmisaSmXlOFC+9TTW2alyZwIaWMhJtTwDhEREREJFEm4/wewoKcqIgNAdXlL63tgkN+/veUiTxgYPtYF97xjW1rhMydBckZUqy8iIiLS30US7m8C3jbGfB/4sbXW9lCdpC9rboYDO9wsNK1DfHVpS7nYBHdBp1FHwowven3hJ7llQ5KiVn0RERGRgSyScH8r8DHwQ+BiY8xqYH+IctZae8mhV02iqr4ayjZ5AX5jy33ZRmisbSmXOMK1vE8+JXhA6/Dxmh9eREREpJdFEu6XB/yc591CsYDCfX9gLVQWB3SlCQjxB3YEFDTuYk6Zk2DCcS2t8OpKIyIiItKnRBLu83usFtKzGuvdPPClG1zLe2CIr6toKRef5M1KMw8yL3A/Z06C9AKIHxq9+ouIiIhIp3Q63Ftrt/dkRaQbVJW1tML7Q/xG2LcNbFNLudRcF9z9feG9EJ86SrPSiIiIiPRjkbTcS1/0wZ846v1fwFt7oWZfy/LYBMgogJzpMH0ZZEx0IT6jEIYOi159RURERKTHKNz3d82NWBMH085saYHPKITh4zSgVURERGSQCRvujTEP4wbHfs9au9d73BmaLac3HfUVVh8YTVFRUbRrIiIiIiJR1l7L/XJcuP8PYC/Bs+W0R7PliIiIiIhEQXvh3jc7zq5Wj0VEREREpA8KG+5bz46j2XJERERERPo2zXsoIiIiIjJAKNyLiIiIiAwQCvciIiIiIgOEwr2IiIiIyADRYbg3xtxujDnOGBPfGxUSEREREZGu6cwVam8Gjgb+boz5nbV2bw/XSUREREREuqAz4X4XcIK1trmnKyMiIiIiIl3XmT736xTsRURERET6vs6E+zRjTE6P10RERERERA5JZ8L9bGCXMeYDY8x/GGOKjDFhu/MYY2K7r3oiIiIiItJZnQn35UAJcDhwI/APoNwY81djzBXGmLxW5b/cvVUUEREREZHO6Ey4X22tzQFmAt8BXgHigTOAXwKbjTFrjTH3GGO+iMK9iIiIiEhUdGa2nHQAa+1qYDXwM2PMUOA4YIl3OwyYDHyzR2opIiIiIiId6ky4n2KMSbTW1vgWWGtrgf/1bhhjcoGTgC8Ap/VERUVEREREpH2d6ZYzFPitMWZIuALW2s+stY9Za88AftdttRMRERERkU7rTLi/Ffgn8ANjTGonyj8RSQWMMWOMMfcbY940xlQbY2zrQbrGmFRjzN3GmBXGmAqvTFEn97/cKx/ulhNQdkWYMtdG8pxERERERKKhM91ybgK+aa39QWd2aK19JcI6FAJfBN4D/oXrw99aBnAx8D7wd2BZBPt/AVjQapkBnge2WGv3tFr3IfC1Vsu2RXA8EREREZGo6Ey4rwGuNcZcBFxurV3fzXV4zVqbDWCMuZTQ4X67tTbdK3MiEYR7a20JbipPP2PMMbgPDLeG2OSgtXZVZ/cvIiIiIoOTtTbaVWijM+H+Fmvtg8aYJcAfjTEvAD+21tZ3RwWstc2dKNPdZ+4ioB54spv3KyIiIiID1L6qet7ZVs4728p5e9s+EhvrOP74aNcqWIfh3lr7oHf/sjHmH7jpLlcaY2601q7o4fp1O2NMInAO8D/W2rIQRY4yxhwAkoC1wH3WWg0SFhERERlkdu+vcUF+qwv0G/ZWAjAkNoYjxqYxLqkzw1d7l+lKo7gxZhRwN1AH3BAmJHdlv5cCvwXyrbXbwpQ5Edfv/viufLgwxpwL/BdwhrX2uVbrfgTsBDYAw4ELcV2AfmCtvSPM/i4HLgfIzs6e9eSTvf9lQGVlJSkpKb1+3P5K5ysyOl+R0zmLjM5XZHS+IqPzFZnBfL6stXxWZdmwr4n1+5rYUN5MWa3LyUNjYeKIWCaNiGHSiFjy02IYEmuidr6OP/7496y1s0Ot61K4929szGLgh8BD1tpHu7yjlv31Rrh/CXe13VHW2sZOlP8rsBTIstZWtld29uzZ9t133420SodsxYoVFBUV9fpx+yudr8jofEVO5ywyOl+R0fmKjM5XZAbT+Wpoaubj3RW867XMv7t9H+VVrtd5ZkoCc/NHMCcvnTl56UzNHUZsjGmzj2idL2NM2HDfYbccY8xYa+3OUOustf80xrwG3GyM+TvwdWvtpkOrbs/xLrZ1InB/Z4K95wngTOBw4M0eqpqIiIiI9KDq+kZW79jP216f+X/v2E91fRMA4zOSWDxlJHPz0pmTn05eRhLGtA3z/UFnBtReAtwG/u44k73bpICfxwOxwIfGmJ9aa3/UI7U9dOfj6hnJtwy+32zfGw4tIiIiIiG1Hvz68a4DNDZbjIEpOcM4Z9YY5uS7lvnsYUOjXd1u05lw/x1jzDIgD0gOWO4LvVXAv4GPA2591YXAh9ba1RFscx5uOtCPeqRGIiIiInLIPt1X7YX5fbyztZyNxcGDXy87dgJz89KZOX4EaYnxUa5tz+lMuB8CTAdqgdUEh/iPrbVbD7USxpizvR9nefenGGNKgBJr7atemVNwHy4O98ocZ4zJBKqstX8L2Fcj8Ki19pJWx5jpPY/rw9ThGOA7wNO4i1al4abM/DzwHWtt1aE+TxERERE5dM3Nlo3Flf6W+Xe2lrP7QC0AqQlxzBw/gjOPGs2cvHRmjEljaHxslGvcezoT7t8EvgF8YK1t6qF6/LnV4we8+1eBIu/nB3Hdf3xu8+63475V8In1bq1dBDQCfwxTh8+AGOBHQCbQgLta7XnW2ic6qL+IiIiI9JD6xmY+2nWAd7aV8+42N/h1f3UDAFmpCczNS+fyvBHMyU9nSk7owa+DRWfC/dXW2n/3ZCWstR3+Bqy1eYeyL2vtNcA17Wy3CTilM8cQERERkZ5zsLaB93fs989ks3rnfuoa3XVPJ2Qms2RaNnPy0pmbn8649P47+LUndOYiVj0a7EVERERkcCuuqHV95b1uNms/q6DZQoyBw0al8ZV545mTN4LZeelkpSZEu7p9Wmda7kVEREREuoW1lq2lVS2DX7eVs72sGoCh8TEcNXYEVy+eyJy8ERw1bgQpCYqrkdDZEhEREZEe09jUzCefVbgLRW3bx7vbyymtdBeLGpEUz+y8dM6fN57ZeSOYPjqN+NiYKNe4f1O4FxEREZFuU13fyL937PcGv+7j/R37/BeLGpueyLETs5idl87c/BEUZKWov3w3U7gXERERkS4rr6rn7a3l/pls1uyuoMm7WNTk7FTOnjWGOXnuYlE5aQPnYlF9lcK9iIiIiHTavqp63tpazqotZazaUsa6PQcBGBIXw5Fjh3PFcROY410satjQgXuxqL5K4V5EREREwqqsa+TtrWWs3FTGyk2l/jA/ND6GOXnpnH7EKOblp3P4mDQS4gbPxaL6KoV7EREREfFraGrmg537eX1TKSs3lfLvHftpbLYMiYthTt4IblgyifkTMpgxZjhD4jT4ta9RuBcREREZxKy1bNhbycpNpTz7Xi1X/fNlquqbMAYOH53GZcdO4OjCTGaNH8HQeLXM93UK9yIiIiKDzO79Naz0WuZXbi6j5GAdANlJhrNmjmVRQSYLCjIYnjQkyjWVSCnci4iIiAxwB6obeHNLqb/f/JbSKgAyU4awqDCTRQWZLCzMYNMHb1NUdHiUayuHQuFeREREZICpbWjive37eH1TKW9sKuWjXQdotpA0JJb5EzI4b944jp6YyeTs1KB55jdFsc7SPRTuRURERPq5pmbLx7sP+AfBvrttH3WNzcTFGI4aN5xvLJ7I0RMzOUKDYAc8hXsRERGRfsZay9bSKq/ffBlvbC6lorYRgCk5qZw/fzxHF2YyJz+dlATFvcFEv20RERGRfqC4opaVm1v6zX92oBaA0cMTOWV6LgsLM1hYkElWakKUayrRpHAvIiIi0gdV1DawanMZb2x2YX5jcSUAw5Pi/QNgjy7MZFx6UlC/eRncFO5FRERE+oDahibe377P3zr/4af7abbuSrBz8zM4e9YYFhVmMi13GDExCvMSmsK9iIiISBT4BsH6utm8s62cusZmYmMMR4xJ46rjC1lUmMlR44aTEKeLR0nnKNyLiIiI9AJrLZtLqnhjs5vR5s3NZf5BsJOzUzlv3jgWFWQyb0I6qUPjo1xb6a8U7kVERER6yJ4Dtd5VYEt5Y1MZeypaBsEunZ7DokJ3JdiRqUOjXFMZKBTuRURERLqJuxJsmT/QbylxV4IdkRTPQm8Q7KKCTMZnaBCs9AyFexEREZEuqqlv4t3t5f655tcEXAl2bn46584Zx8LCDKbmaBCs9A6FexEREZFOamhq5sNPD/CG1zL//vb91Dc1Ex9rOGrsCL55wkQWFepKsBI9CvciIiIiYTQ3W9bvPcjKTaW8sbmMt7eWU1nXiDEwLXcYyxflsbAgg7n56SQNUayS6NOrUERERMRjrWVHebW/m82bm8soq6oHID8zmTOOHOUGwU7IYETykCjXVqQthXsREREZ1Iorav1XgX1jcxm79tcAkD0sgeMmZbGwMJOFBRmMGp4Y5ZqKdEzhXkRERAaVA9UNrNpa5vWbL2NTcSUAaYnxLJiQwdeOm8DCgkwKspI1o430Owr3IiIiMqDV1DfxzrZy3tgcPKNNYnwsc/LTOXvWGBYVZDJt1DBiNaON9HMK9yIiIjKg1Dc288Gn+3ljUxkvvlfDlr//Lw1NlrgYw1HjhvONxRNZWJDBUeNGaEYbGXAU7kVERKRfa262fPJZBW9sLmXlpjLe2VZOdX0TxsC41BguXpTPgoIM5uSlk5yg6CMDm17hIiIi0q9Ya9lcUsWbXphftbWM/dUNABRkJXP2rDEsLMhg/oQMVr/9BkVFU6NcY5Heo3AvIiIifd6u/TWs3OSmpnxjcyl7K+oAGD08kZOmZrOwMIOFBZlkDxsa5ZqKRJfCvYiIiPQ5pZV1/iD/xuYytpdVA5CZMoQFBW5qyoUFGYxLT9KMNiIBFO5FREQk6g7UNPDWljLe2FzGm5vLWL/3IACpQ+OYPyGDixbksagwk0nZKQrzIu1QuBcREZFeV13fyLvb9rHSuwqsb3rKofExzMlL58yjRrOwIIPDRg0jLlYz2oh0lsK9iIiI9Li6xiZW79jvb5n/9859NDRZ4mMNR40d4Z+e8shxw0mIi412dUX6LYV7ERER6XaNTc2s2e2mp3xzs5uesrahmRgD00enccnRE1hYkMHsvBEkDVEcEeku+msSERGRQ9bcbFm356A/zL+9tZyDdY0ATMlJ5dy541hYkMnc/HTSEuOjXFuRgUvhXkRERCLmn2t+SxlveoF+nzfXfH5mMqcfOYoFEzJYUJBBZkpClGsrMngo3IuIiEin7CyvDpqesvigm2t+VNpQFk/JZmGBC/OjhidGuaYig5fCvYiIiIS050Atb27xXTiqjE/31QCaa16kL1O4FxEREQDKKutYtaWcN7e4lvktJVUApCXGM39COpcenc+iwkwKR2queZG+SuFeRERkkPJdOMr1my9j3R534ajkIbHMm5DBuXPGsaAgg2m5w4iJUZgX6Q8U7kVERAaJyrpG3tlWziqvm83Hu1suHDV7fDo3njyKBQUZHD46jXhdOEqkX1K4FxERGaBq6pt4b/s+f7/5Dz49QFOzZUhsDEeOG64LR4kMQFEP98aYMcBNwGzgCCARyLfWbgsokwrc6pWZCaQCx1trV3TyGNuA8SFWnWWtfaZV2cuA64F8YBtwj7X2VxE8JRERkaioa2zi3zv28+Zm19Vm9Y791Dc1ExtjmDEmjSuOm8CCCZnMGj+CxCEK8yIDUdTDPVAIfBF4D/gXsCREmQzgYuB94O/Asi4c53+B21otWx/4wAv2vwZ+AvwfcALwgDHGWGsf7MIxRUREekxDUzMfftoS5t/dto+6RncV2MNGpbF8UR4LJmQwJz+dlIS+8C9fRHpaX/hLf81amw1gjLmU0OF+u7U23StzIl0L96XW2lXhVhpj4oAfA3+w1t7sLX7FGDMKuN0Y85C1tqELxxUREekWjU3NbDnQxLpXN/Pm5jLe2VZOdX0T4K4C+5V541lQkKGrwIoMYlEP99ba5k6Usb1QlQVAFvB4q+V/AL4KHA280gv1EBERAaC52fLJZxWs8mazeXtrOQfrGoF1TByZwtmzxrBgQgbzJmSQnjwk2tUVkT4g6uG+F51ujKkGYoF/Az9t1d/+MO9+TavtPvbup6FwLyIiPai52bKh+KDrZrO5jLe2lnOgxn1pnJ+ZzGlHjCKtbi8Xn3Y0I1OHRrm2ItIXDZZw/zzwDrAVyAauBv5qjLnAWutrqU/37ve12ra81fogxpjLgcsBsrOzWbFiRTdWu3MqKyujctz+SucrMjpfkdM5i8xgPl/WWj6rsqwtb2JtWRPry5s46HUAzUo0zEiPZWpGAlPTYxgxFKCMyspaPnlvFZ9Es+L9yGB+fXWFzldk+uL5GhTh3lr7jcDHxpi/AqtwA2d94d53dY6IugBZa38D/AZg9uzZtqio6JDq2hUrVqwgGsftr3S+IqPzFTmds8gMpvNlrWVraRVvbilj1ZZyVm0po+RgHQCj0oZy0uE5LJiQwYKCDMaMSAq5j8F0vrqDzldkdL4i0xfP16AI961Za5uMMX8G/sMYk2ut/YzgFvrPAor7WuzLERERiYC1lp3lNf555ldtKWdPRS0A2cMSWFSQwXwvzI9LT8IYXQVWRA7NoAz3ntYt9b6+9YcRHO6neff6BlRERDq0s7zaa5kvY9XmMnYfcGE+M2WIP8gvmJBBfmaywryIdLtBGe69aS/PAXZYa/d4i98ESoGv4Oa49zkf12q/slcrKSIi/cKu/TWs8uaZX7WljE/31QCQnjyE+RPS+foE1zpfODJFYV5EelyfCPfGmLO9H2d596cYY0qAEmvtq16ZU4Bk4HCvzHHGmEygylr7t4B9NQKPWmsv8R6fC5wBvAjsxA2ovco71rm+7ay1DcaYH+AuWrULF/AX4y6e9Q1rbX33P3MREelv9hyoDepms6O8GoDhSfHMy0/n0qPzWVCQycSRKcTEKMyLSO/qE+Ee+HOrxw94968CRd7PDwLjA8rc5t1vB/IClsd6N5+twEjgLlz/+WrczDlLrbX/G3hQa+2vjDEWuB64EdgBXG2tfQARERmU9lbUui423lzz28pcmB82NI55EzK4aKG7CuyUnFSFeRGJuj4R7q21Hb4bWmvzurIv76q0iyOoy6+BX3e2vIiIDCzFFbWs2lru7zO/pbQKgNShcczLT+f8+eOZPyGDqbnDiFWYF5E+pk+EexERkWgpPljLW960lKu2lLG5xAvzCXHMyU/n3LnjmD8hg2mjFOZFpO9TuBcRkUGl5GAdb231ZrPZUs6m4koAUhLimJM3gi/NGevCfO4w4mJjolxbEZHIKNyLiMiAVlpZ52+Zf3NLmT/MJw+JZU5+OmfPGsP8CRlMH6UwLyL9n8K9iIgMKIFhftWWMjYGhPnZeQrzIjKwKdyLiEi/1l6Yn5OfzhcU5gesiooKiouLaWhoCFsmLS2NtWvX9mKt+jedr8h05/mKj49n5MiRDBs27JD2o3AvIiL9iq/PvC/Qt26ZXzZzDPMnpHP46DSF+QGsoqKCvXv3Mnr0aBITE8NeIOzgwYOkpqb2cu36L52vyHTX+bLWUlNTw65duwAOKeAr3IuISJ/mm83GDYItD+ozPysgzE8fnUa8wvygUVxczOjRo0lKSop2VUQOmTGGpKQkRo8eze7duxXuRURk4AicZ/6tgKkpAwfAzstXmB/sGhoaSExMjHY1RLpVYmJiu93MOkPhXkREompfbTPPrt7FW16g3+KFed/UlF+cPZZ56jMvIYTriiPSX3XHa1rhXkREetWeA7VB88xvLa0BVvsvGvVlzTMvItJlCvciItKjdu+v8brYlLNqaxnby6oBGDY0jrn56czNaOD8k+bqCrAiIt1A4V5ERLrVzvJq3tpazltbyli1tYyd5TUApCXGMzc/nQvmj2f+hAym5rowv2LFCg4fkxblWouIDAwK9yIi0mXWWnaUV/tb5d/aUs6u/S7MD0+KZ15+Ol9dmM/8CRlMyUklRi3zIiI9SuFeREQ6zVrL1tKqlpb5LeXsqagFID15CPPy07n82AnMm5DOpJEK8yIivU0jlUREJCxrLZuKD/L4qu1844l/M+/Of7D456/y3ac/4vVNZczKG8HtZxzG3791LO99/0QePH8WFy3MY0rOMAV7kQHIGBPylpKS0q3Hqa6uJj8/H2MMV199dae2WbFiBcYY7r777i6Xq62t5YEHHmDx4sVkZWURHx/P8OHDmTNnDjfddBPr1q0Luc+Kigpuv/12Zs6cSWpqKklJSUybNo0bb7yRvXv3dqr+3UUt9yIi4tfcbNlQfNB/0ai3t5ZTWlkPQM6woSwoyGBefgbzJqQzITNZUxGKDELHHHMMl19+edCy+Pj4bj3GLbfcQmlpabfusyNbtmzhtNNOY+3atRx33HF861vfIjc3l8rKSlavXs3DDz/M3XffzY4dOxg9erR/uw0bNnDyySezfft2li1bxiWXXEJ8fDyrVq3ivvvu4/e//z3PP/88CxYs6JXnoXAvIjKINTVb1n5W4Waz2VrOO9vK2V/tLqAyengix07KYr4X5selJynMiwgTJkzg/PPP77H9v//++9x777387Gc/4/rrr++x4wSqqanh1FNPZfPmzTz99NOcddZZbcrU1tZyzz33BL0PVldXc/rpp7Nr1y6ef/55Tj31VP+6yy+/nCuvvJITTzyRM844g48++ojs7Owefy4K9yIig0hjUzNrdlfwVkCYP1jbCMC49CROmprNvAkZzMtPZ2x6UpRrKyJ9VX19PfX19WG741RVVZGcnBx2+9raWoYMGUJMTHAP8aamJi677DKWLl3KsmXLei3cP/TQQ6xbt47vfe97IYM9wNChQ/nud78btOyxxx5jw4YNfPvb3w4K9j6zZ8/mzjvv5KqrruKuu+7qsMtQd1C4FxEZwOobm/nw0/3+q7++v30fVfVNAEzITOa0Gbn+bja5aYlRrq2I9AdPPfUUjz/+OE1NTWRlZfGlL32JO+64g7Q0N6VtVVUVU6ZM4c477+SCCy5os/3Bgwc57bTTWLJkCTfffHPQunvuuYd169bxl7/8pVeei89TTz0FwKWXXhrRds8++ywAl112Wdgyy5cv59prr+Uvf/mLwr2IiESmtqGJf+/Y7+8v//6OfdQ2NAMwKTuFZTPHMG9COnPz0xmZOjTKtRXpfj98/mM+2V3hf9zU1ERsbGwUawTTRg3j1tMPO+T9fPrpp/ziF7+goKCAp59+msLCQh588ME2rd89ae7cuZxzzjkUFhZSUVHBiy++yH/+53/y6quv8sYbb5CSkkJycjL3338/5557LnV1dUGBef/+/SxdupSEhASuueaaoH1v3bqVW2+9lVtuuYW8vDy2bdvWa89rzZo1DBs2jPz8/KDlTU1N7Nu3L2hZcnIyiYmuMeSTTz4hNTWVwsLCsPtOSkpi8uTJrFmzhsrKym4ffNyawr2ISD9WVdfIe9v38fZWNwD2g50HqG9qxhiYljuMc+eOY15+BnPz00lPHhLt6opIFxUXF7Ns2TKeffZZcnNzmT59OkVFRXz+85/n1FNP5emnn2bbtm3ExsYSGxvb6RlmIvXWW28FPb7wwguZMWMGN998M/fdd5+/Jf7MM8/kqaee4pxzzqG2tparr76a0tJSlixZwogRI3j++edJSgru+vf1r3+d/Px8rrvuuh6pe3sqKirIyclps3zt2rUcfvjhQcvuuusubrjhBsB9CxFqu9Z832ocOHBA4V5ERFocqGng3W3lvL21nFVby1mz6wBNzZbYGMP00Wl8dVEec/PTmZ2XTlpi985eIdIftG4hP3jwIKmpqVGqTfe58sorueyyy8jNzQXwB8r169czadIkfvKTn/DOO+8AcMYZZzB//nxmz54dtI/t27dTUFDQqePdcsst3HLLLZ0qe+ONN/LDH/6QF154IaibzamnnsozzzzDWWedxd69e/nrX//K6NGjeeaZZ/wt3z6PP/44L7/8Mq+99lq3z7zTGcOGDaOioqLN8vz8fP7+978D8MEHH/hDvU9qamrI7VrzlfGF/J6kcC8i0oeVVdbxzrZyVm1xgX7tngqshfhYw5Fjh3PFcROYl5/BrPEjSE7QW7rIQPTRRx/xt7/9jUceecS/zNdlZdy4cTz22GMcffTR/nUnnHACv/nNb9qE+1GjRrF69ep2j+UbCDty5MhO1y8+Pp5Ro0aFnLpyyZIl/Pa3v+UrX/kKEydO5LnnniMhISGoTF1dHddddx2f+9znyMnJYdOmTQDs2rULcK3dmzZtIjMzk+HDh3e6XpGYPn06r732Glu3bg3qmpOcnMyJJ54IQFxc2/fYadOmsXLlSjZt2hS2a051dTXr168nLy+vx1vtQeFeRKRP2VtR67/669tby9lYXAnA0PgYZo4bwTcXT2TehHRmjhvB0Pjo9iMWkd7x6KOPctxxxwUFw7/97W+kp6ezdOlSHn/8cY455hj/urFjx/LEE0+02U98fDzTp09v91hd+aajtraWTz/9lPnz57dZt2PHDm655RZOOukk3nrrLe644w5uv/32oDI1NTWUlJTwwgsv8MILL7TZx+OPP87jjz8e1B2mu5199tm89tprPPTQQ/z4xz/u9Hann346K1eu5KGHHuKnP/1pyDKPPfYY9fX1LFu2rLuq2y6FexGRKLHW8um+GlZ5Qf7tbeVsL6sGICUhjlnjR3DWzNHMy0/n8NHDGRKni4qLDEYvvvhi0KDU0tJSHn74YX75y1+SkpJCVVVVUPBPTU2lpKSkzX4OtVtOWVkZGRkZbcr+4Ac/oLGxkdNPPz1o+ZYtW1i8eDGLFi3i0UcfZfXq1Zx88snU1tZy1113+cslJyfz5z//uc1+S0pKuPLKK1m6dCmXXHIJM2bM6FTdu+LSSy/lgQce4K677mL27Nkhp8O01rZZdtFFF/HQQw9xzz33UFRUxNKlS4PWv//++3z3u98lKyuLG2+8scfqH0jhXkSkFxVX1PLG5jJWbirljc1l7NpfA8DwpHjm5qVzwfzxzMvPYGpuKnGxCvMig92ePXtYu3YtCxcuBFwr+bnnnsv3v/99/zST6enpVFVV+bepqqoKGcJHjRrFmjVr2j2er1tOZmZmm3V33HEHq1at4vjjj2fcuHFUVlby4osv8sorrzBv3jy+8Y1v+Mtu2LCBxYsXc/LJJ/Pb3/6WmJgYZs+ezSuvvMJJJ51ETU0N999/P8YY4uPjOfvss9scz9f1qKCgIOT6cP7xj39QW1vbZnlmZiZXXHFFyG0SExN54YUXOO2001i2bBlFRUUsWbKEnJwcKioqWLduHX/605+IjY1l7Nix/u2Sk5N57rnnWLp0Kaeeeipf+MIXKCoqIi4ujrfffps//OEPpKSk8Mwzz3Rq4G13ULgXEelBlXWNrNpcxuubSlm5qdTfzWZ4UjwLJmTwNa/P/MSRKcTE6OqvIhLslVdeISkpiZdffpmPPvqINWvWcPPNN1NUVOQvc+SRR/r7p4ObMvOII45os6/4+HimTJnS7vHa65ZTVFTEJ598wqOPPkpZWRmxsbFMnDiRH//4x1x33XUMHeqm162qqmLx4sWceeaZ/gDvM2PGDF599VVOOOEERo8e3eaiUN3hpZde4qWXXmqzfPLkyWHDPbgr77733ns8/PDDPPXUU/z85z/nwIEDJCcnU1hYyKWXXsoll1zC5MmTg7abOnUqH374Iffddx9PP/00L774Ik1NTYwfP55vfOMb3HDDDb0W7EHhXkSkWzU1W7bsb+Kjf2zkXxtLeX/HPhqbLUPjY5iTl84XZo1hUUEm00YNI1ZhXkQ6sGLFCoqKitqdueacc87hvPPO8z/+5z//2SPTSZ5xxhmcccYZHZbztWbPnDkz5PopU6bw+uuvdzg4Ni8vL2RXmHCKioo6Vb69comJiVx11VVcddVVnT4uuFlwIplhqCcp3IuIHKJP91Xz+sZS/rWxlNc3lXKgpgHYwPTRw7js2AkcMzGTWeNHkBCnAbAiEplXXnmFCy+8sN0yhYWFfPOb3+RnP/sZSUlJnHjiiSxatKiXahhauGDv0/piUdJ9FO5FRCLk62rzr40l/GtjKVtKXV/X7GEJnDQtm8yGEi77/DFkpCR0sCcRkfB27tzJxo0bg6a5DOf888/vhRpJf6BwLyLSgaZmy4ef7ve3zgd2tZk/IYOvzB/PsRMzKRyZgjGGFStWKNiLyCH73e9+x/jx4zn22GOjXRXpRxTuRURC2Fle7XWzKWHlpjKvqw1MHz2MS4+ZwLETM5mVp642ItJzbrvtNm677bZoV0P6GYV7ERGgoraBN72uNq9vLGWbN998btpQlkzL5phJWSwqyFCLvIiI9GkK9yIyKDU2NfPBp/t5bYMbBLt6536ami1JQ2KZPyGDCxfkcUxAVxsREZH+QOFeRAYFay3byqp5fWMJr20sZdXmMg7WNWIMzBidxtePK+DoiZnMHDdCV4IVEZF+S+FeRAasfVX1rNxc6h8I67sa7JgRiZx2RC7HTMxiYUEGw5OGRLmmIiIi3UPhXkQGjLrGJt7bvs8f5tfsPoC1kJoQx4KCDK44bgLHTMxifEaSutqIiMiApHAvIv2WtZZ1ew7yunfxqLe3llPT0ERcjOGoccO59oRJHD0xkyPGpBEXq642IiIy8Cnci0i/sudALa9vKuX1jSW8vqmM0so6AAqykvnSnLEcXZjJvAnppA6Nj3JNRUREep/CvYj0aVV1jazaUuYF+lI2FlcCkJE8hEWFmRw9MZOjCzMZNTwxyjUVERGJPoV7EelT3BSVB1jphXnf1WAT4mKYm5/OObPHsKgwk6k5w4iJUb95ERGRQAr3IhJV1lq2llbx+iY3CDZwisrpo9K49JgJHDMxk1njRzA0XleDFRERaY/CvYj0utLKOlZuKvW3zu8+UAu0TFF5dGEWCwoySE/WFJUiIiKRULgXkR5XU9/E29vK/YNg135WAUBaYjwLCzK48njXb15TVIqIiBwazQ0nIt2uqdmyeud+fvnKJr78mzc54ocvc9HDb/PoG9tJS4zjxpMn8+xVi3j/Byfx4PmzOH/+ePIykxXsRUT6sNtuuw1jTNhbfHz3zVJWXV1Nfn4+xhiuvvrqTm2zYsUKjDHcfffdXS5XW1vLAw88wOLFi8nKyiI+Pp7hw4czZ84cbrrpJtatWxdynxUVFdx+++3MnDmT1NRUkpKSmDZtGjfeeCN79+7tVP27S9Rb7o0xY4CbgNnAEUAikG+t3RZQJhW41SszE0gFjrfWrujE/icBVwHHAxOAg8A7wA+stR+0KrsCOC7Ebr5lrb03smcmMnhYa9lWVu2fovLNzWVU1DYCMC13GMsX5XF0YSZz8tJJHKJ+8yIi/dGyZcsoLCxss/zDDz/krrvu4vTTT++2Y91yyy2UlpZ22/46Y8uWLZx22mmsXbuW4447jm9961vk5uZSWVnJ6tWrefjhh7n77rvZsWMHo0eP9m+3YcMGTj75ZLZv386yZcu45JJLiI+PZ9WqVdx33338/ve/5/nnn2fBggW98jyiHu6BQuCLwHvAv4AlIcpkABcD7wN/B5ZFsP8luGD/qLf9cODbwFvGmEXW2vdalf8Q+FqrZdsiOJ7IoFBysI43Npd6fefL2LW/BoDRwxM5ZXouiyZmsqggg4yUhCjXVEREusOMGTOYMWNGm+Vf+5qLTZdcckm3HOf999/n3nvv5Wc/+xnXX399t+yzIzU1NZx66qls3ryZp59+mrPOOqtNmdraWu65556gb5mrq6s5/fTT2bVrF88//zynnnqqf93ll1/OlVdeyYknnsgZZ5zBRx99RHZ2do8/l74Q7l+z1mYDGGMuJXS4326tTffKnEhk4f5J4JfWWutbYIz5Jy6wXwNc2Kr8QWvtqgj2LzIoVNU18va2clZ6V4Ndt+cg0NJv/utFBeo3LyIyyFRXV/Pkk08yevRoli5d6l9eVVVFcnJy2O1qa2sZMmQIMTHBPcSbmpq47LLLWLp0KcuWLeu1cP/QQw+xbt06vve974UM9gBDhw7lu9/9btCyxx57jA0bNvDtb387KNj7zJ49mzvvvJOrrrqKu+66q8MuQ90h6uHeWtvciTK2ozLtbNvmOx1r7QFjzAZgdIhNRARoaGrmw0/38+ymeh5Y/yb/3rGPhibLkLgY5uSN4NtLJ3N0YSaHjUojVvPNi4gMSv/93/9NRUUF3/zmN4mNdd0uq6qqmDJlCnfeeScXXHBBm20OHjzIaaedxpIlS7j55puD1t1zzz2sW7eOv/zlL71Sf5+nnnoKgEsvvTSi7Z599lkALrvssrBlli9fzrXXXstf/vKXwRHuo8EYkw5MB34fYvVRxpgDQBKwFrjPWvu73qyfSDRYa9lYXMnrG11Xm7e2llNZ14gBpo9u4uKj8zmmMIvZeZpvXkT6sL99B/Z85H+Y2NQIsVGOOzmHwyk/PeTdfPrpp/ziF7+goKCAp59+msLCQh588ME2rd+96Xe/+x3GGC6++GL/suTkZO6//37OPfdc6urqggLz/v37Wbp0KQkJCVxzzTVB+9q6dSu33nort9xyC3l5eWzbtq23ngZr1qxh2LBh5OfnBy1vampi3759QcuSk5NJTHRXRf/kk09ITU0NORbBJykpicmTJ7NmzRoqKytJSUnp/icQYFCGe+B+wAD3tlr+GvBHYAOub/6FwEPGmFxr7R2hdmSMuRy4HCA7O5sVK1b0TI3bUVlZGZXj9lc6Xy3Kapr5pKzJ3cqbOVDnviTLTjLMGRnLtIwExibUkjOiEdhL4669rNoV3Tr3B3qNRUbnKzI6X05aWhoHDx5sszyhoZ6YpsaWBRYaAx9HQXNDPXUh6hqJkpISzjnnHJ588klycnKYMGECn/vc5zjxxBNZunQpzz33HDt27CAmJobY2Fh/P/hINTU1hTyvoWzcuJHXX3+doqIiMjMzg7Y74YQTeOyxx7jooovYv38/X/va1ygrK+PMM89k+PDh/OlPf8JaG7TNZZddxvjx47nssss4ePAglZWVANTX13eqTtXV1QDU1dW1Wz5UuYqKCrKzs9ts98knnzB//vygZXfccQff/OY3AfctRKjtWvMF+l27djFq1Kh2y9bW1h7S3/igC/fGmO8C5wGXWGs3Ba6z1t7Sqvizxpi/AjcbY+611la23p+19jfAbwBmz55ti4qKeqbi7VixYgXROG5/NZjP14HqBt7c4gbArtxUypZSNwg2I3kIx07J5ujCDBYWZDI2Pcm/zWA+X12lcxYZna/I6Hw5a9euJTU1te2Kz/8i6OHBgwdDl+tlh3pJvq9+9atcccUVTJw4EYAJEyYAsHPnTvbs2cO9997LO++8A8AZZ5xBUVERs2fPDtrH9u3bKSgo6NTxbrnlFm65pXUsCvbkk08CbkBtqHN8zjnnkJaWxllnncWBAwf461//yujRo3nmmWf8Ld8+jz/+OP/85z957bXXSE9PB1oC8ZAhQzr1O0xKcv+7EhIS2i0fqtywYcNCvlamT5/O3//+dwA++OADbrjhhqDtUlNTO/Uaq6qqAmD06NEdttwPHTqUo446qt0y7RlU4d4YcwVwJ/B9a+3DndzsCeBM4HDgzR6qmkiPqG1o4t1t+1jpzWrz0a4DWAtJQ2KZl5/OefPGsagwk8nZqcSo37yISJ/00Ucf8be//Y1HHnnEv8zXZWXcuHE89thjHH300f51J5xwAr/5zW/ahPtRo0axevXqdo/lGwg7cuTIdss1Njby2GOPkZ6eHnYAKsCSJUv47W9/y1e+8hUmTpzIc889R0JC8CxqdXV1XHfddXzuc58jJyeHTZtc2+uuXe6r4gMHDrBp0yYyMzMZPnx4u/XqqunTp/Paa6+xdevWoK45ycnJnHjiiQDExbWNzdOmTWPlypVs2rQpbNec6upq1q9fT15eXo93yYFBFO6NMRcADwA/t9b+OJJNvfsuD+oV6S1NzZaPdh3wpqcs5d3t+6hvbCYuxnDUuOF8c/FEjp6YyRFjhjMkTtewExHpDx599FGOO+64oGD4t7/9jfT0dJYuXcrjjz/OMccc4183duxYnnjiiTb7iY+PZ/r06e0eq7PfdDz//PPs3buXa665pk1YD7Rjxw5uueUWTjrpJN566y3uuOMObr/99qAyNTU1lJSU8MILL/DCCy+02cfjjz/O448/zl133cUNN9zQYd264uyzz+a1117joYce4sc/7nxMPP3001m5ciUPPfQQP/1p6HEVjz32GPX19SxbFslkj103KMK9MeYs3ODZh6y1kb4qzgNqgI86KijS26y1bC6pZOWmMl7fVMqqLWUc9C4eNTV3GBfOH8+iwkzm5qeTnDAo/txFRAacF198MWhQamlpKQ8//DC//OUvSUlJoaqqKij4p6amUlJS0mY/3dkt53e/c3ONtDe3/ZYtW1i8eDGLFi3i0UcfZfXq1Zx88snU1tZy1113+cslJyfz5z//uc32JSUlXHnllSxdupRLLrkk5Bz73eXSSy/lgQce4K677mL27Nkhv40INXnjRRddxEMPPcQ999xDUVFR0HSg4Obs/+53v0tWVhY33nhjj9U/UJ/4b2+MOdv7cZZ3f4oxpgQosda+6pU5BUjGdY8BOM4YkwlUWWv/FrCvRuBRa+0l3uNjcV1rPgQeMcYEjoqos9b+2yt3DPAd4GncHPhpwEXA54HvWGuruvdZi3TN7v01rNxUyhubXb/54oN1AIxLT+K0GbksLMhkQUEGmbp4lIhIv7dnzx7Wrl3LwoULATfY8txzz+X73/++f5rJ9PR0f59ucF1rMjIy2uxr1KhRrFmzpt3j+brlZGZmhi2ze/duXnrpJebOncvhhx8essyGDRtYvHgxJ598Mr/97W+JiYlh9uzZvPLKK5x00knU1NRw//33Y4whPj6es88+u80+fF2PCgoKQq4P5x//+Ae1tbVtlmdmZnLFFVeE3CYxMZEXXniB0047jWXLllFUVMSSJUvIycmhoqKCdevW8ac//YnY2FjGjh3r3y45OZnnnnuOpUuXcuqpp/KFL3yBoqIi4uLiePvtt/nDH/5ASkoKzzzzDDk5OZ1+DoeiT4R7oPXHtQe8+1eBIu/nB4HxAWVu8+63A3kBy2O9m89iIAE4CljZ6jiB234GxAA/AjKBBtwHgvOstW2/2xLpJfuq6nlzSxlvbC7ljU1lbCl1b+AZyUNYWOiuAruoMHgQrIiIDAyvvPIKSUlJvPzyy3z00UesWbOGm2++OWhQ9ZFHHunvnw5uyswjjjiizb7i4+OZMmVKu8frTLecRx55hKamprBzwldVVbF48WLOPPNMf4D3mTFjBq+++ionnHACo0ePbnNRqO7w0ksv8dJLL7VZPnny5LDhHtwg5ffee4+HH36Yp556ip///OccOHCA5ORkCgsLufTSS7nkkkuYPHly0HZTp07lww8/5L777uPpp5/mxRdfpKmpifHjx/ONb3yDG264odeCPfSRcG+t7XAkn7U2ryv7stbeRssHgfa22wSc0pljiPSk6vpG3t5a7m+Z/+SzCqyF5CGxzJuQoUGwIiKDiG92pPa6yJxzzjmcd955/sf//Oc/ue6663qsTt/73vf43ve+F3a9rzV75syZIddPmTKF119/vcPBsXl5eSG7woRTVFTUqfLtlUtMTOSqq67iqquu6vRxwU3N2pkZhnpDnwj3IoNZfWMzq3fu97ralLJ65353JdjYGI4aN5xvnTiJRYUZzBgznPhYDYIVERlMXnnlFS688MJ2yxQWFvLNb36Tn/3sZyQlJXHiiSeyaNGiXqphaOGCvU/ri0VJ91G4F+llzc2WTz6r4I3Nbr75d7aVU13fhDFw+Og0Lj46n0UFmczJSydxiK4EKyIyWO3cuZONGzcGTXMZzvnnn98LNZL+QOFepIe5GW2qeNML86u2lrG/ugGAwpEpnDNrDAsKMlkwIYO0pPgo11ZERPqK3/3ud4wfP55jjz022lWRfkThXqQH7NpfwxvejDZvbC5lb4Wb0Wb08EROmprNokI3o032sKFRrqmIiPRVt912G7fddlu0qyH9jMK9SDcoq6zzZrQp441NpWwrqwbcjDbzCzJYVJDJosIMxqUnBc0aICIiItKdFO5FuqCitoG3t5T7W+bX7TkIQGpCHPMmpHPhgjwWFmYwaaRmtBEREZHeo3Av0gk19U28t32fGwS7uYyPPt1Ps4WEuBjm5KVz48mjWFiQweGj04jTjDYiIiISJQr3IiHUNzbzwaf7eWOTa5n/94791Dc1ExdjOGLscK4+vpAFBZnMHD+chDjNaCMiIiJ9g8K9CNDUbFmz64C/m8272/ZR0+Cmp5w+Ko2vLspjQUEGc/LSSU7Qn42IiIj0TUopMig1N1vW7z3Im5vdINi3tpZxsLYRgEnZKXxpzljmT8hg/oR0hicNiXJtRURERDpH4V4GBWstW0qreGNzGc+truW6f/0f5VX1AIzPSOK0GbksKMhk/oR0RqZqekoRERHpnxTuZcDaWV7ttcyX8uaWMv9c8+lDDUXTclhY4OaaHz08Mco1FREREekeCvcyYOw5UMubW0r9XW0+3VcDQGbKEOZPyGCBN9/81o/e5vjjj4xuZUVERER6gMK99FullXW8ubmMN7eUsWpzGVtKqwBIS4xn/oR0LjtmAgsKMpg4MiXowlHbdBEpERERGaAU7qXf2FdVz1tby/yBfsPeSgBSEuKYm5/OefPGMX9CBlNzhxGrC0eJiIjIIKRwL33WgZoG3t5a7g/z6/ZUYC0kxscyO28EZx41moUFmUwfNUwXjhIREREBlIikz6isa+SV9cX85MW1nH7/6xz1o5e57LF3+eNb2xmRFM91J07iqSsW8MGtS/jDJfO4sqiQI8cOV7AXERHpJXv37uWKK65g7NixDBkyhHHjxnHNNdewf//+bj1OdXU1+fn5GGO4+uqrO7XNihUrMMZw9913d7lcbW0tDzzwAIsXLyYrK4v4+HiGDx/OnDlzuOmmm1i3bl3IfVZUVHD77bczc+ZMUlNTSUpKYtq0adx4443s3bu3U/XvLmq5l6iprm/k3W37WLXFtcx/+OkBmpot8bGGo8aO4OrFE1kwIYOjxg1naLyuAisiIhJNxcXFzJs3j927d/O1r32N6dOns2bNGh588EFee+01Vq5cSVJSUrcc65ZbbqG0tLRb9tVZW7Zs4bTTTmPt2rUcd9xxfOtb3yI3N5fKykpWr17Nww8/zN13382OHTsYPXq0f7sNGzZw8skns337dpYtW8Yll1xCfHw8q1at4r777uP3v/89zz//PAsWLOiV56FwL72mtqGJ97Z7YX5zGR98up+GJktcjGHGmDSuOG4CCyZkMmv8CBKHKMyLiIj0JXfeeSfbt2/nv/7rvzj33HP9yxcuXMh5553HL37xC77//e8f8nHef/997r33Xn72s59x/fXXH/L+OqOmpoZTTz2VzZs38/TTT3PWWWe1KVNbW8s999wTNElHdXU1p59+Ort27eL555/n1FNP9a+7/PLLufLKKznxxBM544wz+Oijj8jOzu7x56JwLz2mtqGJf+/Y72az2VLG6h37qW9qJjbGMH10Gpcc7WazmT1+BMkJeimKiIj0Za+88gqJiYl8+ctfDlr+pS99iYsvvpjf//73/nBfVVVFcnJy2H3V1tYyZMgQYmKCu9Y2NTVx2WWXsXTpUpYtW9Zr4f6hhx5i3bp1fO973wsZ7AGGDh3Kd7/73aBljz32GBs2bODb3/52ULD3mT17NnfeeSdXXXUVd911V4ddhrqDEpV0m7rGJlYHhPn3d+ynvrGZGAPTR6exfFEeCyZkMDtvBKlD46NdXREREYlAXV0dQ4cODWq5BoiJiSExMZEtW7ZQWlpKYmIiU6ZM4c477+SCCy5os5+DBw9y2mmnsWTJEm6++eagdffccw/r1q3jL3/5S48+l9aeeuopAC699NKItnv22WcBuOyyy8KWWb58Oddeey1/+ctfFO6lb6tvbOaDT/fz5mYX5t/bvo+6xmaMgak5w7hg/ngWTMhgTn46aYkK8yIi0vP+4+3/YF15y6DHpqYmYmOj29VzSvoUbpp70yHv59NPP+UXv/gFBQUFPP300xQWFvLggw+2af3uKYcddhjr169n9erVHHnkkf7lq1evZt++fQDs2LGDmTNncv/993PuuedSV1cXFJj379/P0qVLSUhI4Jprrgna/9atW7n11lu55ZZbyMvLY9u2bb3xtABYs2YNw4YNIz8/P2h5U1OT/7n5JCcnk5jorm7/ySefkJqaSmFhYdh9JyUlMXnyZNasWUNlZSUpKSnd/wQCKNxLp9U3NvPhp/v9A2Df276P2oZmAKbmDuMr88Yzf0I68/IzSEtSmBcREekuxcXFLFu2jGeffZbc3FymT59OUVERn//85zn11FN5+umn2bZtG7GxscTGxnZ6hplIXHvttTzzzDN88Ytf5N5772X69Ol8/PHHXHvttcTHx9PQ0EB1dTUAZ555Jk899RTnnHMOtbW1XH311ZSWlrJkyRJGjBjB888/32bw7de//nXy8/O57rrrur3uHamoqCAnJ6fN8rVr13L44YcHLbvrrru44YYbAPctRKjtWktLSwPgwIEDCvcSPfWNzXy0az+rtri55t/dXu4P81NyUvnyHHfRqHn56YxIHhLl2oqIiNCmhfzgwYOkpqZGqTbd58orr+Syyy4jNzcXwB8o169fz6RJk/jJT37CO++8A8AZZ5zB/P/f3p1HSVVdexz/bqBRaOEhIhBQaQQDIuIQJA6gzYyiiSI8RY0YJXlGIi9xyIvREBI1+kSjxmgSRCPaTksTCIZBjIJElsMTRAEVRcbg1IqCQjcy7PfHvd1WV1d119B0Tb/PWrXKOvecO2xPH3bdOvfe44+nb9++Ndaxfv16unXrltD2Jk2axKRJk2qUDRgwgMcee4yJEydWzy9v2rQp48eP54gjjmDGjBm0bt26uv7IkSOZOXMmZ511Fh999BEzZsygc+fOzJw5s/rMd5WysjLmz5/PokWLKCpq/BOErVu3ZuvWrbXKu3btyjPPPAPA66+/Xp3UV2nVqlXMdtGq6lQl+XuTknupFpnMv7TmU15d9xkVO3cD0KODknkREZFMWL58OXPnzuWBBx6oLquasnLIIYfw4IMP0r9//+plgwcPZurUqbWS+06dOrFs2bI6t1V1IWz79u1jLh8zZgyjRo1i+fLlfPHFF/To0YP27dvTr18/mjVrVmt6yrBhw7j33ns5//zzOeyww5g1axb77LNPjTo7duzgiiuu4LTTTqNjx46sXr0agE2bNgHB2e7Vq1fTrl072rRpU+f+p6p3794sWrSItWvX1piaU1xczJAhQwBo1qx22tyrVy8WL17M6tWr407N2b59O6tWraKkpGSvn7UHJfcFrWqazctrayfzPTu24pzjDub4Q9vSr+sBtFUyLyIikhHTp0/nlFNOqZEYzp07l7Zt2zJixAjKysoYMGBA9bKDDz6YRx99tNZ6ioqK6N27d53bSuSXjqZNm9aYc//hhx/y2muvccopp9SaarNhwwYmTZrE0KFDefnll7nhhhu4/vrra9SpqKigvLyc2bNnM3v27FrbKysro6ysrMZ0mIY2evRoFi1axLRp07jxxhsTbnfGGWewePFipk2bxs033xyzzoMPPshXX33FqFGjGmp366TkvoBUXQD78ppPeWnN5lrTbJTMi4iIZJ85c+bUuCj1k08+4f777+fuu+9mv/32Y9u2bTUS/1atWlFeXl5rPelOy4llz549TJw4kd27d9e6882aNWsYNGgQJ510EtOnT2fZsmUMHz6cyspKpkyZUl2vuLiYJ554ota6y8vLueyyyxgxYgSXXHIJffr0SWjfUzF+/HjuuecepkyZQt++fWPeDtPda5WNGzeOadOmcfvtt1NaWsqIESNqLF+6dCnXXHMNBx54IFdfffVe2/9ISu7z2I5du3l945YgmV9b8wJYzZkXERHJfh9++CFvvfUWJ554IhDcH37s2LFcd9111beZbNu2Ldu2batus23bNg444IBa6+rUqRMrVqyoc3tV03LatWtXa9mXX35Jv379OOuss+jatStbtmzh0UcfZcmSJdx4440MHDiwuu4777zDoEGDGD58OPfeey9NmjShb9++LFiwgKFDh1JRUcFdd92FmVFUVMTo0aNrba9q6lG3bt1iLo/n2WefpbKyslZ5u3btuPTSS2O2adGiBbNnz+b0009n1KhRlJaWMmzYMDp27MjWrVt5++23efzxx2natCkHH3xwdbvi4mJmzZrFiBEjGDlyJGeffTalpaU0a9aMV155hYceeoj99tuPmTNnJnThbUNQcp9HKnfuZtnGz3k5nDO/dMPXt6bs2bE1Y/sFyXy/EiXzIiIiuWDBggW0bNmS+fPns3z5clasWMG1115LaWlpdZ2jjz66en46BLfMPOqoo2qtq6ioiJ49e9a5vbqm5TRv3pw+ffrwyCOP8MEHH9CyZUuOO+445s2bx/Dhw6vrbdu2jUGDBnHmmWdWJ/BV+vTpw/PPP8/gwYPp3LlzrYdCNYR58+Yxb968WuU9evSIm9wDHHrooSxZsoT777+fJ598kttuu40tW7ZQXFxM9+7dGT9+PJdccgk9evSo0e7www/njTfe4M477+Rvf/sbc+bMYffu3XTp0oXLL7+cq666qtESe1Byn/NWvr+FGe9+xR9XvchrG4OHRplBr4hbU/br2pY2LZXMi4iI5JqFCxdSWlpa5xSZMWPGcN5551V/fu655/bK7SSbN2/OY489Vm+9qrPZxx57bMzlPXv25IUXXqj34tiSkpKYU2HiKS0tTah+XfVatGjBhAkTmDBhQsLbheAuOIlOZdrblNznuIWrypn13k56d97Nhcd34fhDD+C4kra6z7yIiEgeWLBgARdeeGGddbp3787EiRO55ZZbaNmyJUOGDOGkk05qpD2MLV5iXyX6YVHScJTc57gLvt2Frrs2ctrQ/vVXFhERkZyxceNG3n333Rq3uYznggsuaIQ9klzQOM8rlr3mP1oW0bLI6q8oIiIiOeW+++6jS5cunHzyyZneFckhSu5FREREstDkyZNZt24dTZooXZPEqbeIiIiIiOQJJfciIiIiInlCyb2IiIiISJ5Qci8iIiIikieU3IuIiEhOSuYBRyK5oCH6tJJ7ERERyTlFRUVUVFRkejdEGlRFRQVFRek9iFTJvYiIiOSc9u3bs2nTJrZv364z+JLz3J3t27ezadMm2rdvn9a69IRaERERyTmtW7cG4P3332fnzp1x61VWVrLvvvs21m7lPMUrOQ0Zr6KiIjp06FDdt1Ol5F5ERERyUuvWretNhBYuXMgxxxzTSHuU+xSv5GRjvDQtR0REREQkT2Q8uTezg8zsLjN70cy2m5mbWUlUnVZmdquZLTSzrWGd0iS20cTMrjGzdWZWaWavm9nZcer+wMzeNrMdZrbKzC5N6wBFRERERBpJxpN7oDvwn8BnwL/i1DkAuBjYBTyTwjauByYDfwBOBV4CnjCz0yIrmdkPgD8DfwVGAE8A95jZj1LYpoiIiIhIo8qGOfeL3L0DgJmNB4bFqLPe3duGdYYAoxJduZm1B64Cbnb3W8PiBWbWHbgZmBPWawbcCDzk7tdG1OsEXG9m09w9/hU7IiIiIiIZlvEz9+6+J4E66dzjajjQHCiLKi8DjjSzruHnE4ADY9R7iOCXg/5p7IOIiIiIyF6X8eS+ERwB7ABWR5WvDN97RdQDWFFPPRERERGRrJQN03L2trbA5zHO/m+OWB75/lk99Wowsx8CPwTo0KEDCxcuTGtnU/Hll19mZLu5SvFKjuKVPMUsOYpXchSv5CheyVG8kpON8SqE5N6AWNN6LM7npKYAuftUYCqAmZUPHDhwfdJ7mL52wCcZ2G6uUrySo3glTzFLjuKVHMUrOYpXchSv5GQqXl3iLSiE5H4zsL+ZWdTZ+/0jlke+twU+iKjXNmp5XO5+YDo7mioze9Xd+2Zi27lI8UqO4pU8xSw5ildyFK/kKF7JUbySk43xKoQ59yuBfYBuUeVVc+jfjKgHX8+9j1dPRERERCQrFUJyPw/4Cjg/qvwCYIW7rw0/v0jws0qsepuBxXtzJ0VERERE0pUV03LMbHT4n98K3081s3Kg3N2fD+ucChQDR4Z1TjGzdsA2d58bsa5dwHR3vwTA3T82s9uBa8zsC2ApcA4wCPhuVTt332lmvyR4aNUm4J9hnYuBy939q71x7A1kaqZ3IMcoXslRvJKnmCVH8UqO4pUcxSs5ildysi5elt4t5BtoJ8zi7cTz7l4a1llH7IsH1rt7SdS6prv7RRFlTYFrgB8AHYFVwG/c/ckY+/JfwJXhtjYAt7v7PUkflIiIiIhII8uK5F5ERERERNJXCHPuRUREREQKgpL7LGRm88zMzeyGBOrua2ZTzOwDM6swsxfN7OQY9ZqY2TVmts7MKs3sdTM7e+8cQeNKNF5m1tfMpprZ22a23cw2mNnDZtY1Rt114TqjX2futQNpJEn2r1gxcDM7Oqpe3vYvSKqPTa4jZpVRdfOij5lZaZzj+DyBtgU3fqUar0Idv9LsXwU3fqXRvwpu7IpkZqeZ2SIz+9LMtprZq2Y2qJ42WTt+ZcUFtfI1MxsLHJVEk/uAkcDVwBpgAvC0mZ3g7ssi6l0PXAVcCywBzgWeMLPT3X1OQ+x7JiQZr3MJbnX6e4Jbn3YGfgm8amZHu/vGqPpPA5OjylalvreZl0L/AngA+HNU2TtRn/Oyf0HSMZtGcIeuSMVh2awY9fOpj00E/i/i864E2hTy+JVsvAp9/Eqlf0Hhjl/Jxqtgxy4LrrX8Q/i6nuDE99FAy3qaZu/45e56ZckLaAN8CIwleFLuDfXUPyqs9/2IsmYEf2CzIsraAzuAX0e1fxZ4I9PH3YjxOjBGWRdgD8EF1pHl64CyTB9jJuMVtkkkrnnZv1KNWYx1fC9sOzKqPC/6GFAaHt+QJNsV5PiVRrwKcvxKNV5h24Ibv9KJV4x15fXYFR5LCVAB/CTJdlk9fmlaTna5BVjp7o8mWP87wE7g8aoCd98FPAYMN7N9wuLhQHOgLKp9GXBkrJ91c0RS8XL38hhl64FygrNg+S7Z/pWofO1f0DAxGwd8RHCmS75W6ONXUjR+7TXqX/EVwth1McEX5D8l2S6rxy8l91nCzPoDFwKXJdHsCGCtu2+PKl9J0Jm6R9TbAayOUQ++fgpvzkgxXrHWczjBN+u3Yiw+I5zbusPMXsrx+YTpxOtHYQy2m9lzZjYganne9S9omD5mZgcBA4GHw4E/Wt70MeBhM9ttZp+a2SNmdkg99Qt2/AolG69aCmX8CqUar4Icv0izfxXQ2NUfeBs418zeM7NdZrbazCbU0y6rxy/Nuc8CZlZEMCfwVndPZs5aW+CzGOWbI5ZXvX/u4W9BddTLCWnEK3o9zQi+rZcTzJ2L9BTBfMW1QAfgx8AMM/ueu0d/A89qacarDPgH8D7BFICrgefMbKi7Lwzr5FX/gobrYwQ/azcBpsdYli99bAtwG/A8sBU4BvgF8KKZHePuH8dpV5DjF6nHq4ZCGb9IL16FOH41SP+iMMYugE7hawpBnN4DxgB/MLNm7n5nnHbZPX5ler6TXg5wHcHFGC0iyhKZK/gM8GKM8qFh+wHh53uBD2LUOyys971Mx6Ax4hVjPX8i+FltWAJ1mxIMZhszffyZilfYrhWwHnghoiyv+ldDxozgjOrSBOvmbB+LcSzHElzAFzdehTp+pRqvGG0KYvxqqHiF7Qpi/GqIeBXK2EVwcbUDo6LK5xJcb2Vx2mX1+KVpORkW/lR2LcFdD/YxszZm1iZcXPW5aZzmm4n9rW//iOVV7/ubmdVTL+ulGa/I9dwE/BC42N3n11ff3XcDTwAHmdk3Uj6ARtZQ8ari7l8As4HjIorzpn9Bg/axfkBPYp/5qiVX+1gs7r6U4B/N4+qoVnDjVzwJxqtaoYxf8SQbr4h2eT9+xZJC/yqksevT8P2ZqPL5BL9KxDuerB6/lNxn3qHAvgQ/H34W8YLg1kmfAUfGabsS6Gpm0bdr6gV8xddzvFYC+wDdYtQDeDPVnc+AdOIFgJldC/wc+G93fyiJbVf9cUb/vJbN0o5XDEbNGORT/4KGi9k4grNljySx7VzsY/FE95NohTh+1aW+eAWVCmv8qktC8UqgnfpXbYU0dq2MU151PHvqaJe145eS+8xbRnDRSvQLguRiILUvxKgyCygimB8GVM/DPAeY7+47wuJ5BJ3t/Kj2FwAr3H1t2kfReJaRerwws4nADcC17n5XohsN4zoG2ODuH6a055mxjDTiFc3MWhPc1/fliOJ86l/QADEzs+YE9zKe4zHuchKnTa72sVrMrC/wTWr2k2iFOH7FlGC8CnH8iinReMVoVwjjVy3JxKsAx64Z4fvwqPLhwL/rOJ7sHr8yPd9Jr9gvoub3ElwMtAuYFFXvMYIzieOBwcCTQCVwbFS9m8PyKwjug/tHgm+kZ2T6WBsrXgQD1h6CuXTHR716RdQbG8b1QoJE7lzgX+E2zs30sTZivK4imC94XthnxgHLCQaqAYXUvxKNWcSyUcSYx5mPfQx4mCDhHAUMAq4EPgE2AO3qilUhjl+pxqtQx6804lWQ41c6f4/hsoIZu8LjMeA5guk5lwLDgKnh8VxUV7yyefzKeGD1itvhohOJkrBsclS9FsDvCC78qCT4Zl4aY31NCS4SXE9wW6Y3gNGZPs7GjBfBkwo9zmthRL3jwz/2jwguWNsC/BMYnunjbOR4nQEsDv9h2BkOfrOAfoXWvxKNWcSyv4fxah5nXXnTx4Brwv/fW8Jj2Rj+4/iN+mJViONXqvEq1PErjXgV5PiVzt9juKxgxq6IY2oN3B0e01dh/M6rL17ZPH5ZuGEREREREclxmnMvIiIiIpInlNyLiIiIiOQJJfciIiIiInlCyb2IiIiISJ5Qci8iIiIikieU3IuIiIiI5Akl9yIiIiIieULJvYiIiIhInlByLyIiaTOzEjNzM3sg0/siIlLIlNyLiEhOCL88JPRY9frqmtk3zex3ZrbUzDab2c7w/WUzu9XMvlXP+vua2V/MbI2ZVZjZVjNbbmZTzKxzsscmItJQzD2hcVJERDLIzHoAFwA/B5oBbwJ3Ave5++5M7huAmRUB3YAt7v7BXtqGA7i7pVrXzAyYFL6aAEuBV4DNQCugD3AC0Bz4sbvfHaP9zcDPgF3AM8DysP6JQD9gOzDO3Z9M8VBFRFKm5F5EJIeYWTnQDjjC3d/M9P40pgZK7n8FTAY2AmPdfXGMtu2BnwBfuvtvo5ZNAn4NrANOd/eVUcvPBsqAImCouy9I7OhERBqGknsRkRxhZgcRJKXvuHuPTO9PJDMrAdYC0939ougygoT6ZmAIsB+wApjs7v9IYhtpJfdmdiiwCtgDHBudmMdYRzN33xXxuQR4F3DgW+6+PE67S4E/htvq5e576ttfEZGGojn3IiK5Y1j4PhfAzLpkcF+S0YVg6ksJ8BDwONAb+LuZDWzE/fg+wZSmJ+tL7AEiE/uo9jPiJfahacD7QA/glBT3VUQkJUruRURyx6nh+0tmdgdwUeZ2JSmlwN3ufry7/9TdxwHfJfg36OpG3I+TwvfnUmzfP3z/Z12Vwi8FC6O2KSLSKJplegdERKR+ZtaUYEoLBGeQf+nur2Rwl5KxHrghssDdnzazDQQXoDaWjuH7pugF4ZSbi6KKP3f3OyI+fyN835jAtqrqdEp890RE0qfkXkQky4WJ/f8AbQjOGo/w3LpgalmcO/psJLgzTWOpmn8fK3YlwK+iytYDdyTYPpltiYjsNZqWIyKSxcKLaOcCZ4ZFT+VYYg/weZzyXTTuv0NVt+isdR96d1/o7hZegFtUT/tDEtjWQVFtREQahZJ7EZHs1hwYTZAIAzydwX3JdVW3vRycYvsXwvchdVUKf2kpjdqmiEijUHIvIpLF3H0NwVjdD1jv7qti1TOz0WbWxczuMbMFZtbZzG4ys/fN7ICIeqeb2S/M7Gfhk1iPNbM3zaxvuLzYzG4I/7u9mb1rZvkyhfMBgi9Jo83s8BTb7wbOMrMj6qh3McFc+1XA8ylsR0QkZUruRUSy32CgKTA/1kIz2x+40N3XA18ArwODCOaQtyVISDGzHwHjgZsInqK6j7svJXhK69Hh6n5KeNbZ3T8GHo9xS8ic5O7vEVzY2xyYa2YnxqnaJk77NcBvCabtzDKzXtF1zOxMgicH7wYu0z3uRaSx5cvZGBGRfPad8P2t6AXhGei/AE+FRcMJzhaXAScDb7j752bWHbid4HaaVwOt+Po2lO8Ah5pZf2AJwd14qu4gU+dtHzPBzB6oY/Fl7r69juW/IbjY9ZfAYjNbQnAP/s0ESX0JX0+7WRSj/WSgGLgCeN3MngZWEiT8JwLfBioInn6b6i03RURSpuReRCRLmVkr4ErgvLDoJjM7B9hGcPa5A3BYuOz7ZtYROAI4z93dzE4F5oTLxxB8OdgB/N7dKyM29THBw5Z6A/cBHc2sBVDq7g/sreNLw7g6lv2E4FeJmMKLkSeb2aPApcBAgvgWE/zq8R7B02UfCn/ViG6/B7jSzB4HJhB8gRpMcKZ+HXAbcIe7/zvpoxIRaQCWezddEBGRWMzsIoLEflj4+TWCBHQHcAZwsrsPCpedALzm7pVmNpZgqk4vd99uZuXA/wJ3uvvODByKiIikSHPuRUTyxwjgrxGfWwCnAyuAe4FWZvZUeMHsroiz958BV0RMZ5kL/EWJvYhI7tGZexERERGRPKEz9yIiIiIieULJvYiIiIhInlByLyIiIiKSJ5Tci4iIiIjkCSX3IiIiIiJ5Qsm9iIiIiEieUHIvIiIiIpInlNyLiIiIiOSJ/wej0bDfcqEIwgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"VT given APLUS horizon of z=\"+str(redshift_LHO)+\" and F=\"+str(Ffac)+\" (Number of \"+sourceclass+\")\")\n", "plt.ylabel(r'$VT$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " volume = np.interp(lumdists,lumdist_basevals,vol_basevals) / volume_LHO\n", " volume0 = np.interp(lumdist0,lumdist_basevals,vol_basevals) / volume_LHO\n", " plt.plot(rho,volume, \n", "\n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname,\n", " color = colorlist[i])\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('BBH-VT', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 508 }, "id": "2S_D3AcRbHd5", "outputId": "7fed033b-8254-40e3-b1f4-a3fb05346db3" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"Change in VT (Number of \"+sourceclass+\")\")\n", "plt.ylabel(r'$VT-VT_0$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " volume = np.interp(lumdists,lumdist_basevals,vol_basevals) / volume_LHO\n", " volume0 = np.interp(lumdist0,lumdist_basevals,vol_basevals) / volume_LHO\n", " plt.plot(rho,volume -volume0, \n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname+r', $V_0=$'+str(np.round(volume0,1))+\" \"+refname,\n", " color = colorlist[i])\n", " #linear fit on a log-log plot gives power-law scaling\n", " fit = np.polyfit(np.log(rho),np.log(volume -volume0), 1)\n", " # Show fit on plot, label with power\n", " plt.plot(rho, np.exp(np.poly1d(fit)(np.log(rho))), \n", " label = r'$\\propto L_{new}^\\alpha, \\alpha=$'+str(np.round(fit[0],2)),\n", " linestyle='dotted', color = colorlist[i])\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('delta-BBH-VT', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": { "id": "WLRAVBD1V8Pm" }, "source": [ "#Candidate metric: BNS range and number" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "ZRc9FCG98aha" }, "source": [ "Metrics: Horizon for BNS, cosmological $VT$ for BNS.\n", "\n", "Relevant amplitude-only scaling for the horizon (redshift of furthest signal) for BBH, and the integrated volume-time $VT$ for all BBH. \n", "\n", "Specifically we pick a 1.4-1.4$M_\\odot$ BBH as reference and estimate the horizon change from APLUS at $z_H=0.1$ to CE at $z_H=3$. This gives $F\\simeq 4$.\n", "\n", "Since $z \\sim D_L$, the horizon distance scales similarly to the $SNR$ of a reference signal. The change in horizon scales much like the fiducial signal SNR.\n", "\n", "Since the accumulation of $VT$ at cosmological distances is moderately slower than the local universe, so the sensitive volume for BNS scales at a moderately lower power with $L_\\text{new}$ compared to $VT$ in the local universe." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Ft9GHzAJV7Ux", "outputId": "330fa88b-a82a-4b89-f17f-30bea2e9ffc5" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Horizon with straight 10x scaling 0.7422903282512174\n", "Needed F 4.041545317002559\n" ] } ], "source": [ "# define metric in terms of a A+ source at moderate redshift\n", "redshift_LHO = 0.1\n", "sourceclass = \"BNS\"\n", "lumdist_LHO = np.interp(redshift_LHO,redshift_basevals,lumdist_basevals)\n", "volume_LHO = np.interp(redshift_LHO,redshift_basevals,vol_basevals)\n", "\n", "horizon_with_no_F = np.interp(10 * lumdist_LHO,lumdist_basevals,redshift_basevals) \n", "\n", "print('Horizon with straight 10x scaling' , horizon_with_no_F)\n", "print('Needed F' , 3 /horizon_with_no_F)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "id": "75TPGDK09N3s" }, "outputs": [], "source": [ "Ffac=4" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "0uURRAHt9W2a", "outputId": "22d9a5f7-e070-4803-a86e-c80209eb1ea4" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"Source with 2020s horizon of z=\"+str(redshift_LHO)+\" (\"+sourceclass+\")\")\n", "plt.ylabel(r'Horizon redshift for '+sourceclass)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " redshifts = np.interp(lumdists,lumdist_basevals,redshift_basevals)\n", " redshift0 = np.interp(lumdist0,lumdist_basevals,redshift_basevals)\n", " plt.plot(rho,redshifts, \n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname)\n", "\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('BNS-horizon', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 535 }, "id": "GCwMiWdl9l2j", "outputId": "5ab74999-411e-4302-928d-c1de063b1873" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"Change in horizon (\"+sourceclass+\")\")\n", "plt.ylabel(r'Increase in horizon redshift , $z - z_0$, for '+sourceclass)\n", "plt.xlabel(r'$\\L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " redshifts = np.interp(lumdists,lumdist_basevals,redshift_basevals)\n", " redshift0 = np.interp(lumdist0,lumdist_basevals,redshift_basevals)\n", " plt.plot(rho,redshifts - redshift0, \n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname+r', $z_0=$'+str(np.round(redshift0,1)),color = colorlist[i])\n", " # Linear fit on a log-log plot gives power-law scaling\n", " fit = np.polyfit(np.log(rho),np.log(redshifts-redshift0), 1)\n", " # Show fit on plot, label with power\n", " plt.plot(rho, np.exp(np.poly1d(fit)(np.log(rho))), \n", " label = r'$\\propto L_{new}^\\alpha, \\alpha=$'+str(np.round(fit[0],2)),linestyle='dotted', color = colorlist[i])\n", "\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('delta-BNS-horizon',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 537 }, "id": "Q97y76ur9mOS", "outputId": "5f7ac428-4d1a-478f-b9e0-43fe96041326" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"VT given APLUS horizon of z=\"+str(redshift_LHO)+\" and F=\"+str(Ffac)+\" (Number of \"+sourceclass+\")\")\n", "plt.ylabel(r'$VT$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " volume = np.interp(lumdists,lumdist_basevals,vol_basevals) / volume_LHO\n", " volume0 = np.interp(lumdist0,lumdist_basevals,vol_basevals) / volume_LHO\n", " plt.plot(rho,volume, \n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname+r', $V_0=$'+str(np.round(volume0,1))+\" \"+refname,\n", " color = colorlist[i])\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('BNS-VT',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 495 }, "id": "9hWDjre-9qyK", "outputId": "9b88fc8e-13bc-4e49-80fa-e23be7da1673" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots()\n", "plt.title(\"Change in VT (Number of \"+sourceclass+\")\")\n", "plt.ylabel(r'$VT-VT_0$ in '+refname)\n", "plt.xlabel(r'$L_{new}$ in '+refname)\n", "for i, rho0 in enumerate(starting_network):\n", " newnet = np.sqrt(np.power(rho0,2)+ np.power(rho,2)) #New network in LHOs \n", " lumdists = Ffac* lumdist_LHO * newnet # horizon distance scales with luminosity\n", " lumdist0 = Ffac* lumdist_LHO * rho0 # horizon distance scales with luminosity\n", " volume = np.interp(lumdists,lumdist_basevals,vol_basevals) / volume_LHO\n", " volume0 = np.interp(lumdist0,lumdist_basevals,vol_basevals) / volume_LHO\n", " plt.plot(rho,volume -volume0, \n", " label = r'$\\rho_0=$'+str(rho0)+r'$\\times$'+str(Ffac)+\" \"+refname+r', $V_0=$'+str(np.round(volume0,1))+\" \"+refname,\n", " color = colorlist[i])\n", " #linear fit on a log-log plot gives power-law scaling\n", " fit = np.polyfit(np.log(rho),np.log(volume -volume0), 1)\n", " # Show fit on plot, label with power\n", " plt.plot(rho, np.exp(np.poly1d(fit)(np.log(rho))), \n", " label = r'$\\propto L_{new}^\\alpha, \\alpha=$'+str(np.round(fit[0],2)),\n", " linestyle='dotted', color = colorlist[i])\n", "ax.legend()#bbox_to_anchor=(1,1))\n", "plt.savefig('delta-BNS-VT',bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "4GDbikoJ9tjy" }, "outputs": [], "source": [] } ], "metadata": { "colab": { "collapsed_sections": [ "R5AyOpZmVZds", "T9KxYzh5dyWW", "M_PLNUwuBtFU" ], "provenance": [] }, "kernelspec": { "display_name": "igwn", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.2" }, "vscode": { "interpreter": { "hash": "0cbea8fe50a93de00627746ae816f0fcb868a34cb660a78ee46b8e51e1fd16b8" } } }, "nbformat": 4, "nbformat_minor": 0 }