{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Validation of galaxy distribution\n", "This notebook compare galaxy distribution from slsim with DC2 and Diffsky galaxy distribution in a 1 degree square sky area. To run this notebook, one need to download dc2 and diffsky galaxy catalog from following link: https://github.com/LSST-strong-lensing/data_public.\n", "\n", "Please replace dc2 and diffsky paths in cell 8." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from astropy.cosmology import FlatLambdaCDM\n", "from astropy.units import Quantity\n", "from slsim.Pipelines.skypy_pipeline import SkyPyPipeline\n", "from astropy.modeling.models import Linear1D, Exponential1D\n", "import numpy as np\n", "from astropy.table import vstack, Table\n", "import pickle\n", "import os" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define a cosmology and sky area" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# define a cosmology\n", "cosmology = FlatLambdaCDM(H0=70, Om0=0.3)\n", "\n", "# define a sky area\n", "sky_area = Quantity(value=1, unit=\"deg2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Schechter functions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_star = Linear1D(-0.80, -20.46)\n", "phi_star = Exponential1D(0.00278612, -1.05925)\n", "alpha = -0.53\n", "m_star2 = -17\n", "alpha2 = -1.31\n", "path = os.getcwd()\n", "new_path = path.replace(\"docs/notebooks/validation_notebooks\", \"tests/TestData/\")\n", "pipeline_1 = SkyPyPipeline(\n", " skypy_config=new_path + \"lsst_like_test_1.yml\",\n", " sky_area=sky_area,\n", " filters=None,\n", " cosmo=cosmology,\n", ")\n", "red_galaxies_1 = pipeline_1.red_galaxies\n", "redshift, magnitude = red_galaxies_1[\"z\"], red_galaxies_1[\"M\"]\n", "# 2nd schechter function\n", "pipeline_2 = SkyPyPipeline(\n", " skypy_config=new_path + \"lsst_like_test_2.yml\",\n", " sky_area=sky_area,\n", " filters=None,\n", " cosmo=cosmology,\n", ")\n", "red_galaxies_2 = pipeline_2.red_galaxies\n", "redshift2, magnitude2 = red_galaxies_2[\"z\"], red_galaxies_2[\"M\"]\n", "\n", "# combined schechterfunction\n", "redshift3 = np.concatenate((redshift, redshift2))\n", "magnitude3 = np.concatenate((magnitude, magnitude2))\n", "\n", "\n", "fig, ((ax1, ax2, ax3), (ax4, ax5, ax6)) = plt.subplots(\n", " nrows=2, ncols=3, figsize=(20, 12)\n", ")\n", "bins = np.linspace(-24.84408295574346, -14, 40)\n", "bins2 = np.linspace(-19.1724664526037, -14, 30)\n", "z_slices = ((0.0, 0.5), (0.5, 1), (1, 1.5), (1.5, 2), (2, 2.5), (2.5, 3))\n", "\n", "for ax, (z_min, z_max) in zip([ax1, ax2, ax3, ax4, ax5, ax6], z_slices):\n", "\n", " # Redshift grid\n", " z = np.linspace(z_min, z_max, 100)\n", "\n", " # SkyPy simulated galaxies\n", " z_mask = np.logical_and(redshift >= z_min, redshift < z_max)\n", " magnitude_bin = magnitude[z_mask]\n", " bins = np.linspace(min(magnitude_bin), -16, 30)\n", " dV_dz = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV = np.trapz(dV_dz, z)\n", " dM = (np.max(bins) - np.min(bins)) / (np.size(bins) - 1)\n", " phi_first_red = np.histogram(magnitude[z_mask], bins=bins)[0] / dV / dM\n", "\n", " z_mask2 = np.logical_and(redshift2 >= z_min, redshift2 < z_max)\n", " magnitude_bin2 = magnitude2[z_mask2]\n", " bins2 = np.linspace(min(magnitude_bin2), -16, 30)\n", " dV_dz2 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV2 = np.trapz(dV_dz2, z)\n", " dM2 = (np.max(bins2) - np.min(bins2)) / (np.size(bins2) - 1)\n", " phi_second_red = np.histogram(magnitude2[z_mask2], bins=bins2)[0] / dV2 / dM2\n", "\n", " z_mask3 = np.logical_and(redshift3 >= z_min, redshift3 < z_max)\n", " dV_dz3 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV3 = np.trapz(dV_dz3, z)\n", " dM3 = (np.max(bins) - np.min(bins)) / (np.size(bins) - 1)\n", " phi_combined_red = np.histogram(magnitude3[z_mask3], bins=bins)[0] / dV3 / dM3\n", "\n", " # Median-redshift Schechter function\n", " L = 10 ** (0.4 * (m_star(z) - bins[:, np.newaxis]))\n", " phi_model_z = 0.4 * np.log(10) * phi_star(z) * L ** (alpha + 1) * np.exp(-L)\n", " phi_model = np.median(phi_model_z, axis=1)\n", "\n", " L2 = 10 ** (0.4 * (m_star2 - bins2[:, np.newaxis]))\n", " phi_model_z2 = 0.4 * np.log(10) * phi_star(z) * L2 ** (alpha2 + 1) * np.exp(-L2)\n", " phi_model2 = np.median(phi_model_z2, axis=1)\n", "\n", " # Plotting\n", " ax.step(\n", " bins[:-1],\n", " phi_first_red,\n", " where=\"post\",\n", " label=\"1st SF for red galaxies\",\n", " zorder=3,\n", " )\n", " ax.step(\n", " bins2[:-1],\n", " phi_second_red,\n", " where=\"post\",\n", " label=\"2nd SF for red galaxies\",\n", " zorder=3,\n", " )\n", " ax.step(\n", " bins[:-1],\n", " phi_combined_red,\n", " where=\"post\",\n", " ls=\"--\",\n", " label=\"Combined SF\",\n", " color=\"magenta\",\n", " zorder=3,\n", " )\n", " ax.plot(bins, phi_model, label=\"1st SF model\", color=\"g\")\n", " ax.plot(bins2, phi_model2, label=\"2nd SF model\", color=\"red\")\n", " ax.set_title(r\"${:.2f} \\leq z < {:.2f}$\".format(z_min, z_max))\n", " ax.set_xlabel(r\"$M_B$\")\n", " ax.set_ylabel(r\"$\\Phi \\, [\\mathrm{Mpc}^{-3} \\, \\mathrm{mag}^{-1}]$\")\n", " ax.set_yscale(\"log\")\n", " # ax.set_xlim([-14, -24])\n", " # ax.set_ylim([min(magnitude_bin), None])\n", " ax.legend(loc=\"lower right\")\n", " ax.invert_xaxis()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get galaxy distribution from SkyPyPipeline" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "## For the red galaxies, this configuration uses combined Schechter\n", "# function (magenta curve in above plot).\n", "pipeline_double = SkyPyPipeline(sky_area=sky_area, filters=None, cosmo=cosmology)\n", "## For the red galaxies, this configuration uses single Schechter\n", "# function (blue curve in above plot).\n", "pipeline_single = SkyPyPipeline(\n", " skypy_config=\"lsst_like_old\", sky_area=sky_area, filters=None, cosmo=cosmology\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "## Let's draw red galaxies from these two different Schechter function.\n", "red_galaxies_double = pipeline_double.red_galaxies\n", "red_galaxies_single = pipeline_single.red_galaxies" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# These are all galaxies from from two cases.\n", "single_total = vstack([pipeline_single.red_galaxies, pipeline_single.blue_galaxies])\n", "single_total = single_total[(single_total[\"z\"] < 3.01) & (single_total[\"mag_i\"] < 30)]\n", "double_total = vstack([pipeline_double.red_galaxies, pipeline_double.blue_galaxies])\n", "double_total = double_total[(double_total[\"z\"] < 3.01) & (double_total[\"mag_i\"] < 30)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparision of red galaxy distribution with \n", "## single and double Schechter function." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## Plot red galaxy distributions from single Schechter function and double Schcheter\n", "# functions.\n", "plt.hist(\n", " red_galaxies_double[\"z\"],\n", " bins=50,\n", " histtype=\"step\",\n", " label=\"Red galaxy distribution from double SF\",\n", " color=\"magenta\",\n", ")\n", "plt.hist(\n", " red_galaxies_single[\"z\"],\n", " bins=50,\n", " histtype=\"step\",\n", " label=\"Red galaxy distribution from single SF\",\n", ")\n", "plt.xlabel(\"Redshift (z)\")\n", "plt.ylabel(\"Number (N)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load DC2 and Diffsky galaxy catalog\n", "These catalogs are from 1 degree square sky area." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "dc2_data_path = os.path.abspath(\"/Users/sanchez/Devel/DESC/data_public/DC2_data\")\n", "difsky_data_path = os.path.abspath(\"/Users/sanchez/Devel/DESC/data_public/Diffsky_data\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "with open(os.path.join(dc2_data_path, \"dc2_galaxy2_catalog_1deg2.txt\"), \"rb\") as file:\n", " # Use pickle.load() to load the data from the file\n", " dc2_galaxies = pickle.load(file)\n", "\n", "with open(os.path.join(dc2_data_path, \"dc2_galaxy1_catalog_1deg2.txt\"), \"rb\") as file:\n", " # Use pickle.load() to load the data from the file\n", " dc2_galaxies2 = pickle.load(file)\n", "\n", "with open(\n", " os.path.join(difsky_data_path, \"diffsky_galaxy_catalog_1deg2.txt\"), \"rb\"\n", ") as file:\n", " # Use pickle.load() to load the data from the file\n", " diffsky_galaxies = pickle.load(file)\n", "with open(\n", " os.path.join(difsky_data_path, \"diffsky_galaxy2_catalog_1deg2.txt\"), \"rb\"\n", ") as file:\n", " # Use pickle.load() to load the data from the file\n", " diffsky_galaxies2 = pickle.load(file)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "dc2_galaxies = Table(dc2_galaxies)\n", "dc2_galaxies = dc2_galaxies[dc2_galaxies[\"mag_true_i_lsst\"] < 30]\n", "dc2_galaxies2 = Table(dc2_galaxies2)\n", "dc2_galaxies2 = dc2_galaxies2[dc2_galaxies2[\"mag_true_i_lsst\"] < 30]\n", "diffsky_galaxies = Table(diffsky_galaxies)\n", "diffsky_galaxies = diffsky_galaxies[diffsky_galaxies[\"mag_true_i_lsst\"] < 30]\n", "diffsky_galaxies2 = Table(diffsky_galaxies2)\n", "diffsky_galaxies2 = diffsky_galaxies2[diffsky_galaxies2[\"mag_true_i_lsst\"] < 30]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.015004985975324292 3.0784268934021073 14.266190839010237 29.999986591958766\n" ] } ], "source": [ "print(\n", " min(diffsky_galaxies[\"redshift\"]),\n", " max(diffsky_galaxies[\"redshift\"]),\n", " min(diffsky_galaxies[\"mag_true_i_lsst\"]),\n", " max(diffsky_galaxies[\"mag_true_i_lsst\"]),\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.012666132057165269 3.0940996130362075 13.834526 29.999998\n", "0.0029502817793644527 3.009994291104664 14.295469201166938 29.99999790515627\n" ] } ], "source": [ "print(\n", " min(dc2_galaxies[\"redshift\"]),\n", " max(dc2_galaxies[\"redshift\"]),\n", " min(dc2_galaxies[\"mag_true_i_lsst\"]),\n", " max(dc2_galaxies[\"mag_true_i_lsst\"]),\n", ")\n", "print(\n", " min(double_total[\"z\"]),\n", " max(double_total[\"z\"]),\n", " min(double_total[\"mag_i\"]),\n", " max(double_total[\"mag_i\"]),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparision of total galaxy distribution" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '$mag_i < 30$')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7YW1BiqJQAWWJEtFPRSPUK1RjmRtZNxB1OAqKQgWDJiKqFgZNpJeLiwt69uyJnj17YsGCBRg/fjwWLVpkUNBUoWHDhmjYsCHGjx+PN998E40bN8bWrVsxZswYjeWdnJzUXotEIo3bysrKdF5X1zG5ubmQy+Wq7reHeXt7AwCefvpp5OTk4PTp0zh06BCWLl2KgIAALFu2DK1atUJgYCAaNWqksw72xFqDlFCvUITXCTfLtYio9mLQREYLDw/Hzp07q3x8gwYN4Orqiry8PNNVqgratm2LlJQUiMViNGjQQGMZb29vtGzZEh999BGcnJzQtGlT+Pn5YciQIdi9e3etHc/EIIWIaiMGTaTV/fv3MXjwYIwdOxYtW7aEh4cH/vzzTyxfvhz9+vVTK3v37t1KySmDg4OxZs0a5Ofn49lnn0VwcDAyMzOxdu1aFBcXo2fPnma8m8oiIiLQpUsX9O/fH8uXL0fjxo2RlJSEPXv24IUXXkD79u0BAN26dcOHH36IQYMGASgfb9WsWTNs3boV69ats+QtEBGRGTFosgYXrfMa7u7u6NSpE1atWoXr16+juLgYQUFBmDBhgmpAdoUVK1ZgxYoVatu++uordO3aFevWrcPIkSORmpoKmUyGNm3a4JdffkGTJk2qc0fVJhKJsHfvXrz55psYM2YM7t27h4CAADz99NPw9/dXlevatStWr16tNnapW7du+Ouvv2rVeCYiotpOJAiCYOlK2IPs7Gx4eXkhKysLnp6eavsKCgpw8+ZNhISEwMXF5d8dFRnB881USVeUB09WuJSKPdL6727DEu8nYsjuIdj63Fat3XOGlLHX+hCR7dH1/f0otjRZUn2UBzG1fO05IiIiW8CgydLqg4EMERGRDWBGcCIiIiIDsKWJiCzCmjKLExEZgkETEZmdtWUWJyIyBIMmIjI7a80sTkSkC4MmIrIYZhYnIlvCgeBEREREBmDQRERERGQAds9Z2N1MJRR5RWa5lsxNgnreUrNcyxiLFy/Gzp07K61dV9MOHjyIZ555BgqFAt7e3hrLbNy4EdOnT0dmZqZZ60b/upF1o0r7iIhMjUGTBd3NVCLig9+hLC41y/WkTo448HpXowKne/fuYeHChdizZ49q7bhWrVph4cKFePLJJwEADRo0wPTp0zF9+nSN59ixYwfee+89XLx4EWVlZahfvz569uyJ1atXAwBmzZqF1157rbq3R3ZG5iyDVCxF1OEoneWkYilkzjIz1YqIajMGTRakyCuCsrgUq4e0Rpife41e61paLqZvTYAir8iooGngwIEoKipCbGwsQkNDkZqairi4ONy/f9+g4+Pi4jBkyBC8++67eP755yESiZCYmIj9+/eryri7u8PdvWbvn2yP3F2OXf12MZcTEVkNBk1WIMzPHY/X87J0NSrJzMzE4cOHcfDgQXTt2hUAEBwcjI4dOxp8jh9//BFPPvkkZs+erdrWuHFj9O/fX/X60e650aNHIzMzEx07dsSaNWtQWFiImTNnYt68eYiKisIXX3wBV1dXvP322xgzZozWaxcWFmL27NnYsmULsrOz0b59e6xatQodOnTQeszGjRuxcOFCpKenIzIyEv/5z38MvlcyPbm7nAEREVkNDgQnrSpagHbu3InCwsIqnSMgIAAXLlzA+fPnjTru119/RVJSEg4dOoSVK1di0aJFeO655yCTyXDixAlMmjQJr7zyCv755x+t55gzZw6+//57xMbG4vTp0wgLC0NkZCQyMjI0lj9x4gTGjRuHKVOmICEhAc888wzeeecdo+pNRET2i0ETaSUWi7Fx40bExsbC29sbTz75JObNm4ezZ88afI7XXnsNHTp0QIsWLdCgQQMMHToUGzZs0BuE+fj4YO3atWjSpAnGjh2LJk2aID8/H/PmzUOjRo0QFRUFiUSCI0eOaDw+Ly8PH3/8Md5//33897//RXh4OD777DNIpVJ88cUXGo9Zs2YNevfujTlz5qBx48aYOnUqIiMjDb5XIiKybwyaSKeBAwciKSkJP/zwA3r37o2DBw+ibdu22Lhxo0HHu7m5Yc+ePbh27Rrmz58Pd3d3vP766+jYsSPy8/O1Hte8eXM4OPz79vT390eLFi1Urx0dHVGnTh2kpaVpPP769esoLi5WDVYHACcnJ3Ts2BEXL17UeMzFixfRqVMntW1dunQx6D6JiMj+MWgivVxcXNCzZ08sWLAAR48exejRo7Fo0SKjztGwYUOMHz8en3/+OU6fPo3ExERs3bpVa3knJye11yKRSOO2srIyo+pBRERUVQyayGjh4eHIy8ur8vENGjSAq6trtc6hT8OGDSGRSPDHH3+othUXF+PUqVMID9e8bEezZs1w4sQJtW3Hjx+vsToSEZFt4ew50ur+/fsYPHgwxo4di5YtW8LDwwN//vknli9fjn79+qmVvXv3bqXklMHBwVizZg3y8/Px7LPPIjg4GJmZmVi7di2Ki4vRs2fPGqu7m5sbXn31VcyePRs+Pj6oX78+li9fjvz8fIwbN07jMVOnTsWTTz6JFStWoF+/fvj555+xb9++GqsjERHZFgZNVuBaWq5VXsPd3R2dOnXCqlWrVGOEgoKCMGHCBMybN0+t7IoVK7BixQq1bV999RW6du2KdevWYeTIkarkmG3atMEvv/yCJk2aVOue9Fm2bBnKysowYsQI5OTkoH379vj5558hk2lOhNi5c2d89tlnWLRoERYuXIiIiAjMnz8fb7/9do3Wk4iIbINIEATB0pWwB9nZ2fDy8kJWVhY8PT3V9hUUFODmzZsICQmBi4uLarstZASnqtP2727LEu8nYsjuIdj63FaE19HczWmqMqZizmsRke3R9f39KLY0WVA9bykOvN611q89R0REZAsYNFlYPW8pAxkiIiIbwNlzRERERAZgSxMRkQkl5yZzkWEiO8WgiYjIRJJzk9FvVz8oS5Q6y0nFUuzqt4uBE5GNsWj3XGlpKRYsWICQkBBIpVI0bNgQb7/9Nh6e0CcIAhYuXAi5XA6pVIqIiAhcvXpV7TwZGRkYPnw4PD094e3tjXHjxiE3V32K/dmzZ/HUU0/BxcUFQUFBWL58eaX6fPfdd2jatClcXFzQokUL7N27t2ZunKgWuJF1A4n3EzX+3Mi6Yenq1QhFoQLKEiWin4rG1ue2avyJfioayhKl3tYoIrI+Fm1peu+99/Dxxx8jNjYWzZs3x59//okxY8bAy8sLU6dOBQAsX74ca9euRWxsLEJCQrBgwQJERkYiMTFRNY17+PDhSE5Oxv79+1FcXIwxY8Zg4sSJ2Lx5M4Dy6YS9evVCREQE1q9fj3PnzmHs2LHw9vbGxIkTAQBHjx7FSy+9hOjoaDz33HPYvHkz+vfvj9OnT+Pxxx+3zAMiskEyZxmkYimiDkfpLCcVSyFz1pwzy9aFeoUyvQGRHbJo0HT06FH069cPffr0AVC+vMY333yDkydPAihvZVq9ejXmz5+vykD95Zdfwt/fHzt37sTQoUNx8eJF7Nu3D6dOnUL79u0BAB9++CGeffZZrFixAoGBgfj6669RVFSEDRs2QCKRoHnz5khISMDKlStVQVPFCvezZ88GALz99tvYv38/PvroI6xfv97cj4bIZsnd5djVb5fNjevhWCQi0seiQdMTTzyBTz/9FFeuXEHjxo3x119/4ciRI1i5ciUA4ObNm0hJSUFERITqGC8vL3Tq1AnHjh3D0KFDcezYMXh7e6sCJgCIiIiAg4MDTpw4gRdeeAHHjh3D008/DYlEoioTGRmJ9957DwqFAjKZDMeOHcPMmTPV6hcZGYmdO3dqrHthYSEKCwtVr7Ozs03xSIjsgtxdblPBBcciEZEhLBo0zZ07F9nZ2WjatCkcHR1RWlqKd999F8OHDwcApKSkAAD8/f3VjvP391ftS0lJgZ+fn9p+sVgMHx8ftTIhISGVzlGxTyaTISUlRed1HhUdHY0lS5ZU5bbVZd4B8u9X/zyGcK0DeAeZ51pENuThsUihXqEay9zIuoGow1FQFCoYNBHVUhYNmr799lt8/fXX2Lx5s6rLbPr06QgMDMSoUaMsWTW9oqKi1FqmsrOzERRkZECSeQdY1xEozjdx7bRwcgUmnzQqcBo9ejRiY2MB/BuMtmzZEi+99BJGjx4NB4d/5xKcOXMGS5cuxaFDh5CVlYWgoCB069YNs2fPVrUkLlu2DEeOHEF6ejoaNGiASZMmYdq0aTrrcOHCBSxcuBDx8fH4+++/sWrVKkyfPr1Kj4B009dFZa8DuCsYMhZJ1zOw9+dDVNtZNGiaPXs25s6di6FDhwIAWrRogb///hvR0dEYNWoUAgICAACpqamQy//9zS41NRWtW7cGAAQEBCAtLU3tvCUlJcjIyFAdHxAQgNTUVLUyFa/1lanY/yhnZ2c4OztX5bb/lX+/PGAa8Bng27h659In/QqwfUL5NY1sberduzdiYmJQWlqK1NRU7Nu3D9OmTcO2bdvwww8/QCwWY/fu3Rg4cCAiIyPx9ddfo2HDhkhLS8N3332HBQsWYOvWrYiPj4efnx82bdqEoKAgHD16FBMnToSjoyOmTJmi9fr5+fkIDQ3F4MGDMWPGjOo+CdLCmC4qex3ArQsHuBORRYOm/Px8tZYKAHB0dERZWRkAICQkBAEBAYiLi1MFSdnZ2Thx4gReffVVAECXLl2QmZmJ+Ph4tGvXDgDw66+/oqysDJ06dVKVefPNN1FcXAwnJycAwP79+9GkSRPVivddunRBXFycWgvG/v370aVLlxq7fxXfxkBg65q/ThU5Ozurgsd69eqhbdu26Ny5M3r06IGNGzdi2LBhGDNmDJ599lns2LFDdVxISAg6deqEzMxMAMDYsWPVzhsaGopjx45h+/btOoOmDh06oEOHDgDKu3SpagxpRdLXRQXY7mDo6rYQ2eoAdyIyHYsGTX379sW7776L+vXro3nz5jhz5gxWrlyp+nIViUSYPn063nnnHTRq1EiVciAwMBD9+/cHADRr1gy9e/fGhAkTsH79ehQXF2PKlCkYOnQoAgMDAQDDhg3DkiVLMG7cOLzxxhs4f/481qxZg1WrVqnqMm3aNHTt2hUffPAB+vTpgy1btuDPP//Ep59+avbnYgu6d++OVq1aYfv27ahTpw7S09MxZ84cjWW9vb21nicrKws+Pj41VEuqYEwrUju/dnb1pW/KFiJbG+BORKZl0aDpww8/xIIFC/B///d/SEtLQ2BgIF555RUsXLhQVWbOnDnIy8vDxIkTkZmZif/85z/Yt2+fKkcTAHz99deYMmUKevToAQcHBwwcOBBr165V7ffy8sIvv/yCyZMno127dvD19cXChQtV6QaA8pl8mzdvxvz58zFv3jw0atQIO3fuZI4mHZo2bYqzZ8+qko02bdrUqOOPHj2KrVu3Ys+ePTVRPXqIIQOdAftsJWELERGZikWDJg8PD6xevRqrV6/WWkYkEuGtt97CW2+9pbWMj4+PKpGlNi1btsThw4d1lhk8eDAGDx6sswz9SxAEiEQitQzuhjp//jz69euHRYsWoVevXgCA27dvIzz830G48+bNw7x580xWX6q9SRfZQkREpsC156jKLl68iJCQEDRuXD6I/dKlSwaNAUtMTESPHj0wceJEzJ8/X7U9MDAQCQkJqtfstqPajMk2iawPgyaqkl9//RXnzp3DjBkz0KtXL/j6+mL58uVqA8ErZGZmqsY1XbhwAd27d8eoUaPw7rvvqpUTi8UICwszR/WJrBqTbRJZJwZNpFdhYSFSUlLUUg5UrNE3cuRIODo64vPPP8fgwYPx/PPPY+rUqQgLC0N6ejq+/fZb3L59G1u2bMH58+fRvXt3REZGYubMmarEoY6Ojqhbt67W6xcVFSExMVH197t37yIhIQHu7u4MssguMdkmkXVi0GQN0q9Y9TX27dsHuVwOsVgMmUyGVq1aYe3atRg1apQqZUS/fv1w9OhRREdHY9iwYapkn927d8c777wDANi2bRvu3buHTZs2YdOmTarzBwcH49atW1qvn5SUhDZt2qher1ixAitWrEDXrl1x8ODBKt8XkbWrrWPQiKwVgyZLcq1TnqV7+wTzXM/JtfyaRti4cSM2btxoUNn27dvj+++/17p/8eLFWLx4sVHXB8oXcq7KYHOyYoYsH8Rlf4jIyjBosiTvoPJlTbj2HNUmhi4fVIVlf4iIahKDJkvzDuKXAtUuhiwfVI1lf4iIagqDJiKyDHMtH8SuQCIyEQZNRGS/2BVIRCbEoImIbJe+VqT0K+wKJCKTYdBERLbJmFak+l0YEBFRtTFoIiLbZMiAcoDjlYjIZBg0EZFtM9eAciKq9RwsXQEiIiIiW8CWJgszZCVzU+GK6GRzdC3/Y47lhx7G1AVEtR6DJgsydCVzU6nKiuijR49GbGwsAEAsFsPHxwctW7bESy+9hNGjR6vWngOAM2fOYOnSpTh06BCysrIQFBSEbt26Yfbs2WjcuDH++usvLFu2DEeOHEF6ejoaNGiASZMmYdq0aTrr8Nlnn+HLL7/E+fPnAQDt2rXD0qVL0bFjxyo8BbIJhi4xVIWlgaqEqQuICAyaLMqQlcxNpTorovfu3RsxMTEoLS1Famoq9u3bh2nTpmHbtm344YcfIBaLsXv3bgwcOBCRkZH4+uuv0bBhQ6SlpeG7777DggULsHXrVsTHx8PPzw+bNm1CUFAQjh49iokTJ8LR0RFTpkzRev2DBw/ipZdewhNPPAEXFxe899576NWrFy5cuIB69epV99GQqRmSBkAfQ5cYMlfLjimzmOeklv957wpQWKS5TJF5Wp+JyDgMmqyAta9k7uzsjICAAABAvXr10LZtW3Tu3Bk9evTAxo0bMWzYMIwZMwbPPvssduzYoTouJCQEnTp1QmZmJgBg7NixaucNDQ3FsWPHsH37dp1B09dff632+vPPP8f333+PuLg4jBw50kR3SSZhTIuMvhYia1xiqLqDzjPvAN+OAPxlwPbxQFGx5nKuHuVliMiqMGiiKunevTtatWqF7du3o06dOkhPT8ecOXM0lvX29tZ6nqysLPj4+Bh17fz8fBQXFxt9HJkB0wDoln8fKCko//uAzwHPBpXLpF8Bdv+fWatFRIZh0ERV1rRpU5w9exZXr15VvTbG0aNHsXXrVuzZs8eo49544w0EBgYiIiLCqOPIjJgGQK8bEjHgLKm8QyLBDScn81eIiPRi0ERVJggCRCIRBEEw+tjz58+jX79+WLRoEXr16gUAuH37NsLD/+2mnDdvHubNm6d23LJly7BlyxYcPHgQLi4u1bsBIguQlZZB6iBB1OEo7YX8fCF1kEDmzC46ImvCoImq7OLFiwgJCUHjxuXdMJcuXUKXLl30HpeYmIgePXpg4sSJmD9/vmp7YGAgEhISVK8f7X5bsWIFli1bhgMHDqBly5amuQkiM5OXlmLXE+9B4R2oucC9K8D28ZAN2cIUIURWhkETVcmvv/6Kc+fOYcaMGejVqxd8fX2xfPlytYHgFTIzM1Xjmi5cuIDu3btj1KhRePfdd9XKicVihIWFabze8uXL8e677+Lnn39G+/btTX4/ROYkl/pCrm3yR2FR+QBxqa95K0VEejFosgI3sm5Y9TUKCwuRkpKilnIgOjoazz33HEaOHAlHR0d8/vnnGDx4MJ5//nlMnToVYWFhSE9Px7fffovbt29jy5YtOH/+PLp3747IyEjMnDkTKSkpAABHR0fUrVtX6/Xfe+89LFy4EJs3b0aDBg1Ux7m7u8Pd3b3K90VERGQMBk0WJHOWQSqW6h7bYEJSsbRKYyT27dsHuVwOsVgMmUyGVq1aYe3atRg1apQquWW/fv1w9OhRREdHY9iwYcjOzkZQUBC6d++Od955BwCwbds23Lt3D5s2bcKmTZtU5w8ODsatW7e0Xv/jjz9GUVERBg0apLZ90aJFWLx4sdH3Y4/0ZZY3R2BO9s2Q1Qu46gDZOwZNFiR3l2NXv11WvYzKxo0bsXHjRoPKtm/fHt9//73W/YsXL65SkKMroCLDM8tXNWgmMuY9ZuyqA0S2hEGThcnd5fyAoWoxNLM8WwHMxJrWyzMRQ95j1Vl1gMhWMGgishPWnlne7lnbenk1gO8xqu0YNBERmYK1rZdHRCbHoImIyFSscb08IjIZBk1EVC7zDltJiIh0YNBEROUB07qO5Yvt6uLkWt4FxcCJiGohBk1EVN7CVJwPDPisfLFdTdKvlA9yzr/PoImIaiUGTUT0L9/GQGBrS9eCiMgqOVi6AkRERES2gC1NFlaclIQShXkygotlMjgFallZvZpEIhF27NiB/v37AwAuXbqE0aNHIyEhAU2bNkVCQoLGbcack4iIyJIYNFlQcVISrvd5DoJS99IEpiKSStFwz26jAqfRo0cjNjYWACAWi+Hj44OWLVvipZdewujRo1VrzyUnJ0Mm+3eJjkWLFsHNzQ2XL19WLaqraZs5JScn4/XXX8eff/6Ja9euYerUqVi9erXZ62Hz7DDjdW3HtQuJDMOgyYJKFAoISiUC318OSaj25S9MoejGDSTNnoMShcLo1qbevXsjJiYGpaWlSE1Nxb59+zBt2jRs27YNP/zwA8RiMQICAtSOuX79Ovr06YPg4GCd28ypsLAQdevWxfz587Fq1SqL1MGm1YKM11ZFVwBqwufLtQuJDMegyQpIQkMhbd7c0tXQytnZWRUU1atXD23btkXnzp3Ro0cPbNy4EePHj1frShOJRACA+Ph4vPXWW1i0aBGWLFlSadu8efMwc+ZMfP/991AoFPD398ekSZMQFRWlsR6LFi3Cp59+in379uGpp57Chg0bMGjQINX+nTt3Yvjw4UhJSYGHh0el4xs0aIA1a9YAADZs2GDSZ1RVNrVyPDNem4chwamTKzB8s0kux7ULiQzHoImqpHv37mjVqhW2b9+O8ePHq+1LTk5GREQEevfujVmzZsHd3R2TJk2qtG3t2rX44Ycf8O2336J+/fq4c+cO7ty5U+lagiBg6tSp2L17Nw4fPoywsDAMHToUMTExakFTxWtNAZM1MuvK8foSVxrarcaM1zVPX3BakfqhIMukl+W6ckT6MWiiKmvatCnOnj1baXtAQADEYjHc3d1VLVTu7u6Vtt2+fRuNGjXCf/7zH4hEIo3ddiUlJXj55Zdx5swZHDlyBPXq1QMAjB8/Hk888QSSk5Mhl8uRlpaGvXv34sCBAzV4x6ZlspXjc1LL/7x3BSgsqrw/Px3YOsKwxJXsVrMODE6JrBKDJqoyQRBUXXFVMXr0aPTs2RNNmjRB79698dxzz6FXr15qZWbMmAFnZ2ccP34cvr6+qu0dO3ZE8+bNERsbi7lz52LTpk0IDg7G008/DQBqA81ffvllrF+/vsr1rGnV+g0/8w7w7QjAXwZsHw8UFWsu5+QKvPw94OqreT/AbjUiIj0YNFGVXbx4ESEhIVU+vm3btrh58yZ++uknHDhwAC+++CIiIiKwbds2VZmePXvim2++wc8//4zhw4erHT9+/HisW7cOc+fORUxMDMaMGaMK4h5OZ+Dp6VnlOlq9/PtASUH53wd8Dng20FyOARERUbUxaKIq+fXXX3Hu3DnMmDGjWufx9PTEkCFDMGTIEAwaNAi9e/dGRkYGfHx8AADPP/88+vbti2HDhsHR0RFDhw5VHfvyyy9jzpw5WLt2LRITEzFq1CjVvrCwsGrVyybVbQxwTAoRUY1h0GQFim7UfA6U6lyjsLAQKSkpaikHoqOj8dxzz2HkyJFVPu/KlSshl8vRpk0bODg44LvvvkNAQAC8vb3Vyr3wwgv46quvMGLECIjFYtXgb5lMhgEDBmD27Nno1asXHnvsMb3XrGiBys3Nxb1795CQkACJRILwcAYbRESkG4MmCxLLZBBJpUiaPccs1xNJpRDLjM+zsm/fPsjlcojFYshkMrRq1Qpr167FqFGjVMktq8LDwwPLly/H1atX4ejoiA4dOmDv3r0azzlo0CCUlZVhxIgRcHBwwIABAwAA48aNw+bNmzF27FiDrtmmTRvV3+Pj47F582YEBwfj1q1bVb4PshNM2klEejBosiCnwEA03LPbqpdR2bhxIzZu3Ki3nCAIaq81LZHy6LYJEyZgwgTtuWgePeeLL76IF198UW3b3bt3UadOHfTr109vHTWdk4hJO4nIUAyaLMwpMLDG1oOzZ/n5+UhOTsayZcvwyiuvQCKRWLpKZKtsNWln5t/lf2pLNWFt9SWyAwyayCYtX74c7777Lp5++mmtGcTtida1v7Jv4YaTk3krY49sKS9SRcvYr28D9eTaU004uZYHg7ZyX0Q2gEET2aTFixdj8eLFlq5GjZM5yyAVSxF1WEdg6OcLqYOE64LVFhUtYynxwIkFmlNNVGQNz7/PoInIhBg0EVkxubscu/rt0r4+3b0rwPbxkA3ZwnXBahPvIKA0BwBwQyIGnB/pnpZIAIkTkH0LMk9/vjeITIRBE5GVk7vLtX/pFRaVd81IdWT6JruktxWynhw4sQDSeBOsXUhEABg0ERHZJJ2tkA9aIG9ELkHU+fW61y4kIoMxaCIislFaWyErWiDd6pm/UkR2rOqZCYmIiIhqEbY0ERHZOa0pK/TsIyJ1DJosLCejAAW5GnKs1AAXdyd4+LjUyLlFIhF27NiB/v37AwAuXbqE0aNHIyEhAU2bNkVCQoLGbcack4iMI3Ny15+yAoBULGXKCiIDMGiyoJyMAmxefBwlRWVmuZ5Y4oBhizsbFTiNHj0asbGx5ceLxfDx8UHLli3x0ksvYfTo0ap14pKTkyF7aF27RYsWwc3NDZcvX4a7u7vWbea0fft2fPzxx0hISEBhYSGaN2+OxYsXIzIy0ux1ITIHudRXd8qKB2TOMg4UJzIAgyYLKsgtRklRGSLGhMNH7laj18pIzsOBmEQU5BYb3drUu3dvxMTEoLS0FKmpqdi3bx+mTZuGbdu24YcffoBYLEZAQIDaMdevX0efPn0QHBysc5s5HTp0CD179sTSpUvh7e2NmJgY9O3bFydOnFBbyJfInuhMWUFERuFAcCvgI3dD3foeNfpTnaDM2dkZAQEBqFevHtq2bYt58+Zh165d+Omnn1SL+YpEIuzcuVP19/j4eLz11lsQiURYvHixxm1FRUWYMmUK5HI5XFxcEBwcjOjoaK31WLRoEeRyOf766y94enpi27Ztavt37twJNzc35OTkaDx+9erVmDNnDjp06IBGjRph6dKlaNSoEX788ccqPxsiIqo9GDRRlXTv3h2tWrXC9u3bK+1LTk5G8+bN8frrryM5ORmzZs3SuG3t2rX44Ycf8O233+Ly5cv4+uuv0aBBg0rnEwQBr732Gr788kscPnwYrVq1wtChQxETE6NWLiYmBoMGDYKHh4dB91BWVoacnBz4+PhU6RkQEVHtwu45qrKmTZvi7NmzlbYHBARALBbD3d1d1W3n7u5eadvt27fRqFEj/Oc//4FIJNLYbVdSUoKXX34ZZ86cwZEjR1CvXnnemfHjx+OJJ55AcnIy5HI50tLSsHfvXhw4cMDg+q9YsQK5ubl48cUXq3L7RERUy7CliapMEASIRKIqH18xk65JkyaYOnUqfvnll0plZsyYgRMnTuDQoUOqgAkAOnbsiObNm6sGqW/atAnBwcF4+umnAZQHaRU/kyZNqnTezZs3Y8mSJfj222/h5+dX5XsgIqLag0ETVdnFixcREhJS5ePbtm2Lmzdv4u2334ZSqcSLL76IQYMGqZXp2bMn7t69i59//rnS8ePHj1eNqYqJicGYMWNUQVxCQoLq56233lI7bsuWLRg/fjy+/fZbREREVLn+RERUu7B7jqrk119/xblz5zBjxoxqncfT0xNDhgzBkCFDMGjQIPTu3RsZGRmqcUbPP/88+vbti2HDhsHR0RFDhw5VHfvyyy9jzpw5WLt2LRITEzFq1CjVvrCwMI3X++abbzB27Fhs2bIFffr0qVbdiYiodmHQZAUykvOs+hqFhYVISUlRSzkQHR2N5557DiNHjqzyeVeuXAm5XI42bdrAwcEB3333HQICAuDt7a1W7oUXXsBXX32FESNGQCwWq1qjZDIZBgwYgNmzZ6NXr1547LHHdF5v8+bNGDVqFNasWYNOnTohJSUFACCVSuHl5VXl+yAiotqBQZMFubg7QSxxwIGYRLNcTyxxgIu7k9HH7du3D3K5HGKxGDKZDK1atcLatWsxatQoVXLLqvDw8MDy5ctx9epVODo6okOHDti7d6/Gcw4aNAhlZWUYMWIEHBwcMGDAAADAuHHjsHnzZowdO1bv9T799FOUlJRg8uTJmDx5smr7qFGjVN18RERE2lg8aLp79y7eeOMN/PTTT8jPz0dYWBhiYmLQvn17AOWDjRctWoTPPvsMmZmZePLJJ/Hxxx+jUaNGqnNkZGTgtddew48//ggHBwcMHDgQa9asUcs6ffbsWUyePBmnTp1C3bp18dprr2HOnDlqdfnuu++wYMEC3Lp1C40aNcJ7772HZ599tsbu3cPHBcMWd7bqZVQ2btxoUEAhCILaa01LpDy6bcKECZgwYYLB53zxxRcrzXS7e/cu6tSpg379+umt48GDB/WWISIi0saiQZNCocCTTz6JZ555Bj/99BPq1q2Lq1evqi3HsXz5cqxduxaxsbEICQnBggULEBkZicTERLi4lAcAw4cPR3JyMvbv34/i4mKMGTMGEydOxObNmwEA2dnZ6NWrFyIiIrB+/XqcO3cOY8eOhbe3NyZOnAgAOHr0KF566SVVt9PmzZvRv39/nD59Go8//niNPQMPH5caWw/OnuXn5yM5ORnLli3DK6+8AolEYukqERGRvRMs6I033hD+85//aN1fVlYmBAQECO+//75qW2ZmpuDs7Cx88803giAIQmJiogBAOHXqlKrMTz/9JIhEIuHu3buCIAjC//73P0EmkwmFhYVq127SpInq9Ysvvij06dNH7fqdOnUSXnnlFYPuJSsrSwAgZGVlVdqnVCqFxMREQalUGnQu0m/RokWCWCwWunfvLuTk5Fi6Ohrp+3e/kH5BeHzj48KF9AtVv8jdM4KwyLP8T6IKFnhfmOT9TGQBur6/H2XRlAM//PAD2rdvj8GDB8PPzw9t2rTBZ599ptp/8+ZNpKSkqE0L9/LyQqdOnXDs2DEAwLFjx+Dt7a3qzgOAiIgIODg44MSJE6oyTz/9tFprRGRkJC5fvgyFQqEq8+j088jISNV1yLosXrwYxcXFiIuLs8jiv0Q2If0KkJSg/SfzjtmrlJybjMT7iTp/knOTzV4vIkNYtHvuxo0b+PjjjzFz5kzMmzcPp06dwtSpUyGRSDBq1CjV7CZ/f3+14/z9/VX7UlJSKiUnFIvF8PHxUSvzaD6hinOmpKRAJpMhJSVF53UeVVhYiMLCQtXr7OxsY2+fiKhmuNYBnFyB7drHDAIoLzP5JOAdZJZqJecmo9+uflCWKHWWk4ql2NVvFxcaJqtj0aCprKwM7du3x9KlSwEAbdq0wfnz57F+/Xq1nDvWKDo6GkuWLDHqGOGRgc1k3/jvTRbjHVQeDOXf114m/Up5UJV/36RB042sGzr3KUuUiH4qGqFeoVrLRB2OgqJQwaCJrI5Fgya5XI7w8HC1bc2aNcP3338PAKo1ylJTUyGX//ufJzU1Fa1bt1aVSUtLUztHSUkJMjIyVMcHBAQgNTVVrUzFa31lKvY/KioqCjNnzlS9zs7ORlCQ5g8eJ6fyaf75+fmQSqUay5D9yc/PB/Dvvz+RWXkHma0FCQBkzjJIxVJEHY7SWU4qlqKdXzsGRGSTLBo0Pfnkk7h8+bLatitXrqgWbg0JCUFAQADi4uJUQVJ2djZOnDiBV199FQDQpUsXZGZmIj4+Hu3atQNQnq26rKwMnTp1UpV58803UVxcrPoC279/P5o0aaKaqdelSxfExcVh+vTpqrrs378fXbp00Vh3Z2dnODs7G3Sfjo6O8Pb2VgV3rq6u1VqzjaybIAjIz89HWloavL294ejoaOkqEdU4ubscu/rtgqJQobOczFnGgIlslkWDphkzZuCJJ57A0qVL8eKLL+LkyZP49NNP8emnnwIARCIRpk+fjnfeeQeNGjVSpRwIDAxE//79AZS3TPXu3RsTJkzA+vXrUVxcjClTpmDo0KEIDAwEAAwbNgxLlizBuHHj8MYbb+D8+fNYs2YNVq1aparLtGnT0LVrV3zwwQfo06cPtmzZgj///FNVl+qqaLF6tFWM7Je3t7fWlkoim5F5R3c3H1A+hso7CHJ3uckCIl3dfACDL7IMiwZNHTp0wI4dOxAVFYW33noLISEhWL16NYYPH64qM2fOHOTl5WHixInIzMzEf/7zH+zbt0+VowkAvv76a0yZMgU9evRQJbdcu3atar+Xlxd++eUXTJ48Ge3atYOvry8WLlyoytEEAE888QQ2b96M+fPnY968eWjUqBF27txpshxNIpEIcrkcfn5+KC42TzJLshwnJye2MJHty7wDrOsIFOfrLmfCAeXGdPNxsDiZm0jgaFWTyM7OhpeXF7KysuDp6Wnp6pANSLyfiCG7h2Drc1sRXidc/wGaJCUAn3YFJv4OBLY2ZfXI3hny3qkoM+AzwLex5jIVA8pN+B5Mzk3W2c1XMVi8Wv93iB4w5vvb4suoEBGRlfNtbNag3JTdfESmZNHklkRERES2gkETERERkQEYNBEREREZgGOaiGqIIYNZiYjIdjBoIqoBxqyxJXOWmalWRERUHVUKmoqLi5GSkoL8/HzUrVsXPj4+pq4XkU1TFCr0rrEFMEEfWYH0K1XbR1QLGRw05eTkYNOmTdiyZQtOnjyJoqIiCIIAkUiExx57DL169cLEiRPRoUOHmqwvkU0J9QplHhmyTq51ypNSbp+gu5yTa3lZIjIsaFq5ciXeffddNGzYEH379sW8efMQGBgIqVSKjIwMnD9/HocPH0avXr3QqVMnfPjhh2jUqFFN153I/ulbwoItAVRV3kHlWbwNXCKFiAwMmk6dOoVDhw6hefPmGvd37NgRY8eOxfr16xETE4PDhw8zaCKqLmOWsGBLAFWFdxADIiIjGBQ0ffPNNwadzNnZGZMmTapWhYjogfz75QGTriUsALYEEBGZCWfPEVk7My9hQUREmhkcNI0dO1ZvGZFIhC+++KJaFSIiIiKyRgYHTQqF9iR9paWlOHDgAAoLCxk0ERERkV0yOGjasWOHxu27du3CvHnz4OzsjIULF5qsYkRERETWpMprz/3xxx946qmnMGzYMDz33HO4ceMG5s6da8q6EREREVkNo4OmxMRE9O3bF926dUPjxo1x+fJlvPfee5DJuBQEERER2S+Du+fu3LmDhQsXYtOmTXjuuedw9uxZNGvWrCbrRmS1uBgvEVHtY3DQ1KRJE4hEIsycORNPPvkkrl69iqtXr1Yq9/zzz5u0gkTWxqSL8erK+M1s30REVsXgoKmgoAAA8P777+P999/XWEYkEqG0tNQ0NSOyUiZbjNeQjN/M9k1EZDUMDprKyspqsh5ENqfai/EakvGb2b6JLE5fdzxgwC9JZBeYEZzI0pjxm+yBvu5kG/0FwJju+F39djFwsnMGBU3Hjx9H586dDTphfn4+bt68qXVxXyIisiOudcq7kbdP0F3OyRWYfNLmAidDuuNvZN1A1OEoKAoVDJrsnEFB04gRIxAaGorx48fj2WefhZubW6UyiYmJ2LRpE2JiYvDee+8xaCIiqg28g8qDIW0TGoDyVqjtE8rL2FjQVKHa3fFkFwwKmhITE/Hxxx9j/vz5GDZsGBo3bozAwEC4uLhAoVDg0qVLyM3NxQsvvIBffvkFLVq0qOl6ExGRtfAOstlgiMgYBgVNTk5OmDp1KqZOnYo///wTR44cwd9//w2lUolWrVphxowZeOaZZ+Dj41PT9SUiIrJK+vKzcbC47TN6IHj79u3Rvn37mqgLERGRzZE5yyAVSxF1OEpnOQ4Wt32cPUdERHbJXKkC5O5y7Oq3S+8qARwsbvsYNBERkXmYMS2BuVMFyN3lDIZqAQZNRERUsyyQloCpAqgmMGgiIqKaZcG0BEwVQKZkVNBUXFyM3r17Y/369WjUqFFN1YnIPuhajBfggrxUu9RAWgJds9X0zWQjqgqjgiYnJyecPXu2pupCZD8MWYwX4IK8RFVgzGw1mbPMTLWi2sDo7rmXX34ZX3zxBZYtW1YT9SGyD4YsxgvY7HpcRJZkyGw1gHmRyPSMDppKSkqwYcMGHDhwAO3atau0pMrKlStNVjkim8fFeIlqhM7ZahVd44WpQHaq5jJs4aUqMDpoOn/+PNq2bQsAuHJFfUyGSCQyTa2IiIiqwpiu8eGbzVMnshtGB02//fZbTdSDiIio+gzpGq+YqVeQZd66kc2rcsqBa9eu4fr163j66achlUohCAJbmoiIyDqwa5xqgIOxB9y/fx89evRA48aN8eyzzyI5ORkAMG7cOLz++usmryARERGRNTC6pWnGjBlwcnLC7du30axZM9X2IUOGYObMmfjggw9MWkEiIqKaxHxPZCijg6ZffvkFP//8Mx577DG17Y0aNcLff/9tsooRERHVJJmTe/XzPelLYgtwpp4dMTpoysvLg6ura6XtGRkZcHZ2NkmliIiIappc6lu9fE+cqVfrGB00PfXUU/jyyy/x9ttvAyhPM1BWVobly5fjmWeeMXkFiYiIaorOfE/6cKZerWN00LR8+XL06NEDf/75J4qKijBnzhxcuHABGRkZ+OOPP2qijkRERNaLM/VqDaODpscffxxXrlzBRx99BA8PD+Tm5mLAgAGYPHky5HKmqyfbl5ybrLO5ngNDiYhqpyrlafLy8sKbb75p6roQWVxybjL67eoHZYlSZzkuBEpEVPtUKWhSKBT44osvcPHiRQBAeHg4xowZAx8fH5NWjsjcFIUKKEuUiH4qGqFeoVrLyQqVkGfrWNcq/Yrm7URUq+lrqeYiw9bN6KDp0KFD6Nu3L7y8vNC+fXsAwNq1a/HWW2/hxx9/xNNPP23yShKZW6hXKMLrhGvemXkHiOlh2IwZTjUmIgCy3HuQOkgMSm+wq98uBk5WyuigafLkyRgyZAg+/vhjODo6AgBKS0vxf//3f5g8eTLOnTtn8koSWRVDZswA5QGTd5D56kVUG+jLi2RtrbyudQAnV8h3z8IuR0coHLUsxCF2wY3/LkXU6fehKFQwaLJSRgdN165dw7Zt21QBEwA4Ojpi5syZ+PLLL01aOSKrxhkzROZlTF4ka2nl9Q4CJp8E8u9DDkBjKFSRlsDJ08yVI2MZHTS1bdsWFy9eRJMmTdS2X7x4Ea1atTJZxYiIiNTYaiuvd5B11YeqzKCg6ezZs6q/T506FdOmTcO1a9fQuXNnAMDx48exbt06LFu2rGZqSWQiTCdAZAdM1cqrryvP2oIvsjiDgqbWrVtDJBJBEATVtjlz5lQqN2zYMAwZMsR0tSMyIaYTILIBugIZU41XejDOCNsn6C7n5FretcbAiR4wKGi6efNmTdeDqMYZnE6AU36JzM+YQKa645UeGmekVcU4o/z7DJpIxaCgKTg4uKbrQWQ2OtMJEJFlGBLIAKbrMuM4I6qCKiW3TEpKwpEjR5CWloaysjK1fVOnTjVJxYiIqJZhIENWzuigaePGjXjllVcgkUhQp04diEQi1T6RSMSgiYiIiOyS0UHTggULsHDhQkRFRcHBQUuSLiIiIiI7Y3TQlJ+fj6FDhzJgIiIi+2eO2XxkM4wOmsaNG4fvvvsOc+fOrYn6EBERWZ45Z/ORzTA6aIqOjsZzzz2Hffv2oUWLFnByclLbv3LlSpNVjoiIyCLMPZuPbEKVgqaff/5ZtYzKowPBiYiI7AJn89EjjA6aPvjgA2zYsAGjR4+ugeoQERERWSejR3M7OzvjySefrIm6EBEREVkto4OmadOm4cMPP6yJuhARERFZLaO7506ePIlff/0Vu3fvRvPmzSsNBN++fbvJKkdERFTb3Mi6oXO/IetjJucmQ1GoqPZ5SJ3RQZO3tzcGDBhQE3UhIiKqtWRO7pCKpYg6HKWznFQsxa5+u7QGPMm5yei3qx+UJcpqnYcqMzpoiomJqYl6EBER1WpyqS929duls4XoRtYNRB2OgqJQoTXYURQqoCxRIvqpaIR6hVb5PFSZ1aT1XrZsGUQiEaZPn67aVlBQgMmTJ6NOnTpwd3fHwIEDkZqaqnbc7du30adPH7i6usLPzw+zZ89GSUmJWpmDBw+ibdu2cHZ2RlhYGDZu3Fjp+uvWrUODBg3g4uKCTp064eTJkzVxm0RERJqlX4E8OxXhhUWafxw9tAZBmoR6hSK8TrjGH2POQ/8yuqUpJCREZz6mGzd098VqcurUKXzyySdo2bKl2vYZM2Zgz549+O677+Dl5YUpU6ZgwIAB+OOPPwAApaWl6NOnDwICAnD06FEkJydj5MiRcHJywtKlSwEAN2/eRJ8+fTBp0iR8/fXXiIuLw/jx4yGXyxEZGQkA2Lp1K2bOnIn169ejU6dOWL16NSIjI3H58mX4+fkZfT9EREQGMyb7+PDN5qkTaWR00PRwSxAAFBcX48yZM9i3bx9mz55tdAVyc3MxfPhwfPbZZ3jnnXdU27OysvDFF19g8+bN6N69O4DyrsFmzZrh+PHj6Ny5M3755RckJibiwIED8Pf3R+vWrfH222/jjTfewOLFiyGRSLB+/XqEhITggw8+AAA0a9YMR44cwapVq1RB08qVKzFhwgSMGTMGALB+/Xrs2bMHGzZs4HIx9ujeFaCwSPt+ZvglInMyJPt4+pXyoKogy3z1okqMDpqmTZumcfu6devw559/Gl2ByZMno0+fPoiIiFALmuLj41FcXIyIiAjVtqZNm6J+/fo4duwYOnfujGPHjqFFixbw9/dXlYmMjMSrr76KCxcuoE2bNjh27JjaOSrKVAR/RUVFiI+PR1TUvwPvHBwcEBERgWPHjmmtd2FhIQoLC1Wvs7Ozjb53MrOcB12728cDRcXayzm5ln+AMXAiInNh9nGbYHTQpM1///tfREVFGTVQfMuWLTh9+jROnTpVaV9KSgokEgm8vb3Vtvv7+yMlJUVV5uGAqWJ/xT5dZbKzs6FUKqFQKFBaWqqxzKVLl7TWPTo6GkuWLDHsRsk6VPyG1n0BUL+r5jIVv83l3+cHGBFZLV1pCfSlLDCmLNMSqDNZ0LRt2zb4+PgYXP7OnTuYNm0a9u/fDxcXF1NVw2yioqIwc+ZM1evs7GwEBfFL1iZ4BwOBrXWXSb9StX1ERDXImLQEMmeZ9vM4y0yS3qC2MTpoatOmjdpAcEEQkJKSgnv37uF///ufweeJj49HWloa2rZtq9pWWlqKQ4cO4aOPPsLPP/+MoqIiZGZmqrU2paamIiAgAAAQEBBQaZZbxey6h8s8OuMuNTUVnp6ekEqlcHR0hKOjo8YyFefQxNnZGc7OzgbfL9kIYwZkutYxT52IiB4wJC0BoL+FSO4uN0l6g9rG6KCpf//+aq8dHBxQt25ddOvWDU2bNjX4PD169MC5c+fUto0ZMwZNmzbFG2+8gaCgIDg5OSEuLg4DBw4EAFy+fBm3b99Gly5dAABdunTBu+++i7S0NNUst/3798PT0xPh4eGqMnv37lW7zv79+1XnkEgkaNeuHeLi4lT3VlZWhri4OEyZMsXg+yE7YciATICDxYnIYuTucpMEMaY6T21idNC0aNEik1zYw8MDjz/+uNo2Nzc31KlTR7V93LhxmDlzJnx8fODp6YnXXnsNXbp0QefOnQEAvXr1Qnh4OEaMGIHly5cjJSUF8+fPx+TJk1WtQJMmTcJHH32EOXPmYOzYsfj111/x7bffYs+eParrzpw5E6NGjUL79u3RsWNHrF69Gnl5earZdFTLcEAmERFpYLIxTTVh1apVcHBwwMCBA1FYWIjIyEi1LkBHR0fs3r0br776Krp06QI3NzeMGjUKb731lqpMSEgI9uzZgxkzZmDNmjV47LHH8Pnnn6vSDQDAkCFDcO/ePSxcuBApKSlo3bo19u3bV2lwOBEREdVeBgdNDg4OOpNaAoBIJKqUjdsYBw8eVHvt4uKCdevWYd26dVqPCQ4OrtT99qhu3brhzJkzOstMmTKF3XFERESklcFB044dO7TuO3bsGNauXYuysjKTVIqIiIjI2hgcNPXr16/StsuXL2Pu3Ln48ccfMXz4cLVuMSIiIrIymXeMnujCXE7/qtKYpqSkJCxatAixsbGIjIxEQkJCpUHdREREZEUy7wDrOgLF+brLPVgVgbmcKjMqaMrKysLSpUvx4YcfonXr1oiLi8NTTz1VU3UjIiIiU8m/Xx4wDfgM8G2sucxDqyLIA1szl9MjDA6ali9fjvfeew8BAQH45ptvNHbXERERkZXzbax/VYQHmMtJncFB09y5cyGVShEWFobY2FjExsZqLLd9+3aTVY6IiIjIWhgcNI0cOVJvygEiIiKqQbrWvuRKBTXO4KBp48aNNVgNIiIi0sqQdTEfDOBm4FRzrDojOBEREUH/upgPDeBm0FRzGDQRERHZAkPWxdTVfadrHxmEQRMREZGtM6T7Digv41rHPHWyQwyayG4k5ybrzieSd9eMtSEiMiN93XcVOFi8Whg0kV1Izk1Gv139oCxR6iwnLSuDzMndTLUiIjIjQ7rvqFoYNJFdUBQqoCxRIvqpaIR6hWoudO8KZN+NhVzqa97KERGRXWDQRHYl1CsU4XXCNe8sLAJKS81bISIishsOlq4AERERkS1g0ERERERkAHbPERERkell3rG72XwMmohqo9sA0vWU8QVQ3wx1ISL7k3kHWNcRKM7XXc7Gln5h0ERU29wG0AyAns8yuALYDqCujjL6AitzBmf6rsUgkMh88u+XB0wDPgN8G2suY4NLvzBoIqpt0lEeMG1CefCkyT0AAwD01nMuXYFVxTlMEZzpY8i1TBEEEpFxfBsDga0tXQuTYdBEZGsMab3R5eKDP5sBaKunnK7rGBJYuQLYB+2Byj3g7kglFKOKdJwEkOVLUC9HqrOMzmuZIgiswMCKqNZi0ERkSwztWtPjrp8SCqEI0LWyjCMAfx37/QEcApCpo4w3gADtu++7F2HShHgoS3Tnz5I6OmL9k+1Qx1lStWv5A7KTEtQr1BF4GRjAwQXACgAy3cV0kQVIUK+5niCQiKwOgyYiW2JI15oed/OUiPj5dyi/s45En1InR8SO7Yg6bpoDovt5RZj0VTxGHTpZ7eusH9FO+3UMDOAAAH9WqyqQFjviwNiuDJyIbAyDJiJroq/rzdCuNR0Ud4ugLCnF6iGtEeZn+XX4ZG4S1PPWHTwceL0rFHl6WoB0UAVeG3QHXvoCOABACnS3rulx7WIupv+TgFO/ZUCRov35szWKbMmNrBvqG7JvARKn8j+dJZA5yyB3l1uiaibFoInIWhgzq80Ey+eF+bnj8Xpe1T+RGdTzluoNrPQxJPAyJIBDvWpVA7IACaQbHDH9nwTgH+3lpMWOWP9CO9QJ0RzAydwkqJct5YxBsiiZswxSsRRRh6Mq76wnB04sAABIxVLs6rfL5gMnBk1E5mJIK5IhXW96vgjvZip1BgfX0nJ11dJumSLwMkk9mktxYGxXKFK0/xvdv1qESVfiMWq39pYxqYMjDnzRFfXStN/TXT8lFOuKdI6/kkkkqOem57kw+CIt5O5y7Oq3C4pChfqOe1eA7eOBAZ/jhkSMqMNRUBQqGDQRWZV7V8oX5tUk/Yp56/IwY1qRnkKVv6DuZioR8cHvUBbrGVjt5AiZri4oqlH1mkt1d701Ag4s6gqFSPN7+VqdXEzvm4BTgRlQrHPXGBTdTy3CpPh4KP/U814ocsSBz7vqnp3oivKgXsv7Ul+gDhjWiqfvPAa1BJqIIfekj8nqa4kcZPo+Lx/K5C13l1cOhgqLgKJiwLMBoGsCh41h0ET2ISe1/M/t48v/o2rj5Fr+n93cDB3AbcCHn64P82tpuVAW6x+vZM4vH6qC+kC9U1LUS9f8byTLk0C6zxHTIxN0DkqXSh0R+0RHrbMOr2XnYvqJBJyKzYDCU8v75SaA+QB+ARBSeff9wiJM+iMeylI9wZnYEetH6hiIn1eESV/qHohv0CxKA+gbL3Y3U4mIFb8bNilAB6nYEQdmddX9f01fQFQxq1NLAA0AMkGCeqek1U80CwD5dQBH1/KkkzqUiaW4OvhXFLur91fb+2cLgyayDwVZ5X92XwDU76q9nKXXOarGAG7AsJYkqZMjOoT42PUHV61QH1q/BOtBigMtqj9GS5YpgfS0I6afSNBdl9EArj340UBa5IjYnR1RJ19LQORahEkvGDAQv9gRsTs0n+e+axEm9a/+LMqK66xv1w51/LUEk//klk+W+LE1wu5XbbKEqjVwVwYUj2k5hwLALAAF2s9z37UIk16Oh9JJx//5IkesP98OdRy1BJMpgOxZic6u3H8FAZ4nAVf1NePS3Arx6gvxKBCXIUx0F2vwP/wv9itcE9SDJhdHB3zcpR38Sv8u33AJgDP+/bsUNt3dy6CJ7It3sOWyz+r6Te6ilu1GUuQV6W1Jsvff9KicKcZo1fOWGjYzUc+MQZlEgnov686BdWCk9u5G1XkECep9KdWaXPRAXlcoiqrXZVbRbTnqrP4ArsNSH9QLqtozlt2RQHrIEdMvJuj+/z9U/7mkYkfEjtQ8q/P+X0WYdOBBMHlIxzmGO2J943ao08iQVjrPBz//unYxF/H/pGN1vdZoFpKFsvgYrJH8T/Php8r/KCuW4upECa575gLTgOuv5aIsKevfljEbjEBssMpEVsiQMUsmmvUG2NbMN7JuBgVf1ZwxCOjublTR0wJRD1LUQ/V/ITjQSvdAfKD6KR/qtZXiQJj+6+hLAAvo+UWoFDgwRndAqmrpu3USuKX7WrpIix3RYZ4P6uXUAzxP6WyNAgCF4IGkQTfh4HIXbgCmPZ+AsoJ75ePo/u6Keg2rXhdLYdBEZAqGjFmq5ngloPbOfCM7oKO70dz0DsS3pevoGf9W4YBzVyi8qzmwPVOCesMrrhP04OdffgDWOresdJ2b2Zcx7ySwZkhrlF6qh+knEqAoKjJFLG52DJqITKkaY5Y4842IqsSAgNQkrXQGRDmaruPgUj6UoKGfO8qSLJ9QtzoYNBEZwtBM3dVgyHglgGOWiIgshUETkT4mytRtaNcbxysREVknBk1E+pggxxK73oiIbB+DJiJDVWeRXHa9ERHZPAZNZBOSc5Mrr230kBt5d81Ym6pj1xsRke1i0ERWLzk3Gf129YOyRKmznLSsDDIn256ZQURE1otBE1k9RaECyhIlop+KRqhXqOZC965A9t1YyKVVyB5pgplxzK9ERGT/GDSRzQj1CkV4nXDNOwuLAD0LhmpkgplxHORNRFQ7MGii2s0EM+M4yJuIqHZg0EQEVGtmXAUO8jav4qQklCi0Tw4AALFMBqfAQDPViIjsHYMmIgPoGrPE8UrmV5yUhOt9noOg1D05QCSVouGe3QyciMgkGDSRfTPRIG99Y5Y4Xsm8ShQKCEolAt9fDkmo5skBRTduIGn2HJQoFAyaiKzAjawbEIpy4eByFzeLLsMhOwmQOAHZtwBnCWTOMsjd5Zaupk4Mmsh23LtSPuBbk/QrlbeZaPkTQ8YscbySZUhCQyFt3tzS1SAiHWTOMkjFUkQdjgIAuIUA89IApAGoJwdOLAAASMVS7Oq3y6oDJwZNZP1yUsv/3D4eKCrWXs7JFXCt8+9rEwzyflhtGbOUk1GAglwdzxmAi7sTPHxczFQj3bTVtyCtGDnuQUhPK4a3vMBq6ktU28jd5djVbxcUhQpcP5mLaScSsKZTazQMSSr/XB/wOW5IxIg6HAVFoYJBE1G1FGSV/9l9AVC/q/ZyrnUA76DK200wyLu2yMkowObFx1FSVKaznFjigGGLO1s8EMnNKcX2T3TUt/1cYGsGxDuOW0V9iWorubsccnc5yiRZKCu4hxBJE4R7Ssp/EfZsADjbxvAGBk1kO7yDgcDWlq6FXSvILUZJURkixoTDR+6msUxGch4OxCQi6Wqm1jKAeVqjCpRlWutbcP06kmfPgeu8pfj9l2wU5BYzaCKiamHQRLUes3lX5iN3Q936Hhr3ubg7QSxxwIGYRJ3nMGdrlKb6KnOckJt7B+4yfswRkWnw04RqNWbzNp6HjwuGLe6sc9xTRWsUW3eIyJ4waCLbpiulgAHpBJjNu2o8fFwYDBFRrcOgiWyXISkF9KQTqFBbZsYREVHVMWgi22VISgED0wkQERHpw6CJLC45NxmKQu1riN3Iu6v7BEwpQEREZsCgiSwqOTcZ/Xb1g7JE9xpi0rIyyJy0jznShjPjiIjIVBg0kUUpChVQligR/VQ0Qr00ryGGe1cg+24s5FIDBic9hDPjiIjIlBg0kVUI9QpFeJ1wzTsLi4BS3YGPJpwZR0REpsSgieweZ8YREZEpMGgi61WRgynzwetLAFIe2m9AHiYiIiJTYdBE1unhHEwBAF4BMBzqQRNgcB4mIiKi6mLQRNbp4RxMcgCHAHwNwPuRcszDREREZsKgiaxbM5S3NB0C0BRAoGWrQ0REtZeDpStAREREZAvY0kQ2i4kr7V9ORgEKcosrbS9IK0aOexBKFSV6z1F89y4AKQquX4cyx6nSfrFMBqdANmESkX4MmsgmMXGl/cvJKMDmxcdRUlSmuUD7ucAv2RBLHODirjkYEkmlSF+9Bmg/F8mz5yA3906lciKpFA337GbgRER6MWgim8TElfavILcYJUVliBgTDh+5m/q+69eRPHsO5O8vh3erpvDwcal0vFNgIBru2Y2Uy2nA1gzI318OXz/14Kroxg0kzZ6DEoWi1gZN2lrzHubi7qTxGRPVNhYNmqKjo7F9+3ZcunQJUqkUTzzxBN577z00adJEVaagoACvv/46tmzZgsLCQkRGRuJ///sf/P39VWVu376NV199Fb/99hvc3d0xatQoREdHQyz+9/YOHjyImTNn4sKFCwgKCsL8+fMxevRotfqsW7cO77//PlJSUtCqVSt8+OGH6NixY40/B6o6Jq40jr4vyIzkPDPWxjA+cjfUre+htk2Z44Tc3Dvw9XOCVMeXuVNgIFxKPABkIN81ALkejwRf7uXdfOlpxfCWF9hEYFCclIQShfYFrgHDuxz1tuZVnE/igGGLO9vE8yGqSRYNmn7//XdMnjwZHTp0QElJCebNm4devXohMTERbm7lH24zZszAnj178N1338HLywtTpkzBgAED8McffwAASktL0adPHwQEBODo0aNITk7GyJEj4eTkhKVLlwIAbt68iT59+mDSpEn4+uuvERcXh/Hjx0MulyMyMhIAsHXrVsycORPr169Hp06dsHr1akRGRuLy5cvw8/OzzAMiMiFjviA1dXfZKhd3J4glDjgQk6i5QPu5wNYMiHcct/rAoDgpCdf7PAdBqXuBa0O7HHW15lXISM7DgZhEFOQWW/WzITIHiwZN+/btU3u9ceNG+Pn5IT4+Hk8//TSysrLwxRdfYPPmzejevTsAICYmBs2aNcPx48fRuXNn/PLLL0hMTMSBAwfg7++P1q1b4+2338Ybb7yBxYsXQyKRYP369QgJCcEHH3wAAGjWrBmOHDmCVatWqYKmlStXYsKECRgzZgwAYP369dizZw82bNiAuXPnmvGp1BIV2b4rPvtPXQEkDw3qvonyVAOZAMRXzFw5+2TIFyRgf10xHj4uGLa4s+YB5Q+6+VznLcXvv2RbfWBQolBAUCoR+P5ySEI1L3BdlS5HTa15RFSZVY1pysrKAgD4+PgAAOLj41FcXIyIiAhVmaZNm6J+/fo4duwYOnfujGPHjqFFixZq3XWRkZF49dVXceHCBbRp0wbHjh1TO0dFmenTpwMAioqKEB8fj6ioKNV+BwcHRERE4NixYxrrWlhYiMLCQtXr7Ozs6t18bfJwtu/wVGAOgNPjgaJHvtReQXl+JgBwcgVc65izlnarNn5Bevi4aAyGKrr53GVW9VGolyQ0FNLmzS1dDaJax2o+KcrKyjB9+nQ8+eSTePzxxwEAKSkpkEgk8Pb2Vivr7++PlJQUVZmHA6aK/RX7dJXJzs6GUqmEQqFAaWmpxjKXLl3SWN/o6GgsWbKkajdb2z2c7btOFpAKoOkCwLurejlvlLc2AeUBk3eQGStJRESkzmqCpsmTJ+P8+fM4cuSIpatikKioKMycOVP1Ojs7G0FB/FI3SjOUrx2XCiA8GGjaWm23Wh6mPAB5Wap9zMFERETmZhVB05QpU7B7924cOnQIjz32mGp7QEAAioqKkJmZqdbalJqaioCAAFWZkydPqp0vNTVVta/iz4ptD5fx9PSEVCqFo6MjHB0dNZapOMejnJ2d4ezsXLUbJr0MycPEHExka/TNfGOiTSLrZtGgSRAEvPbaa9ixYwcOHjyIkJAQtf3t2rWDk5MT4uLiMHDgQADA5cuXcfv2bXTp0gUA0KVLF7z77rtIS0tTzXLbv38/PD09ER4eriqzd+9etXPv379fdQ6JRIJ27dohLi4O/fv3B1DeXRgXF4cpU6bU2P2TdobkYWIOJrIlhsx8Y6JNIutm0aBp8uTJ2Lx5M3bt2gUPDw/VGCQvLy9IpVJ4eXlh3LhxmDlzJnx8fODp6YnXXnsNXbp0QefOnQEAvXr1Qnh4OEaMGIHly5cjJSUF8+fPx+TJk1UtQZMmTcJHH32EOXPmYOzYsfj111/x7bffYs+ePaq6zJw5E6NGjUL79u3RsWNHrF69Gnl5earZdFQ1ybnJUBQ+8pu1EkBw+Z83hLs6j2ceJrIX+ma+MdGmeTGpJ1WFRYOmjz/+GADQrVs3te0xMTGqxJOrVq2Cg4MDBg4cqJbcsoKjoyN2796NV199FV26dIGbmxtGjRqFt956S1UmJCQEe/bswYwZM7BmzRo89thj+Pzzz1XpBgBgyJAhuHfvHhYuXIiUlBS0bt0a+/btqzQ4nAyXnJuMfrv6QVmi4TfrJQCulf9VWlYGmZP2rN5E9sSWZr4VJyWh4HoaANjV2n1M6klVZfHuOX1cXFywbt06rFu3TmuZ4ODgSt1vj+rWrRvOnDmjs8yUKVPYHWdCikIFlCVKRD8VjVCvh36zvgRgOICvAdS5Atl3YyGX+lqolkSkSUV3Yrajr92t3ceknlRVVjEQnOzQbQAPPl9Dk0MRnhn+775bAP4GIAXgWQSU6l50l+yLocuAANaTS8qUS5fYioruRN/504AjsMu1+2pjzjKqHgZNZHoVySvrorwbbjjKg6SHuQJg41KtY8wyIF6fbzNTrXQz9dIltsapXj0AGXBp2BBSLQFG0Y0bOs9hroDSFgNysi0Mmsj0KpJXvgOgFOXdcI9OcvMFUB9AknmrRtqZozXFqGVALJBlX9OCxQXX05Dt6Avf+dPgERYEdw/HSmVsvcXFEJqeTUmBFDl1wnB5yYdwKs6Fy6OTPh4wR0BpiwE52R4GTVRzQlA+2LspgEdWQLmbqYTibhFc0nMRBuDavVwUCExeaSnmbk2xtsHQLlIH/Yv6HgHEJzNsamCwvhlimgKhR+l9Ni1mAADEYmDAy76VgkpzBZTGBOTKixcBSHUObmdrFGnCoInM7uHElc1FN7HHGZi2JQEXHgqaACavNKeaWgj20S/lgrRi5LgHIT2tGC4eOVYzpVty728MGBaMAmXl2VTFd+8iffUam1nUt0JuTim2f2LYDDEX98qBQwV3D0etCx5XqBg0jcAQrV141aWvJbSii1BXQC6WySCSSpG+eo3ewe1sjSJNGDRRzbt3BSgsUr1U3stFaMk1zIpsgjAHd+A3YM3Q1ijwbaF2GJNXmp+pWoBc3J20t060nwtszQCQYfEp3RVfokmz5+gs5ymVwivYB4DuLkNdY3v0jfsxtQJlmc4ZYiX37qEkO7u8JSn5OpTJ6vsfrq+2BY/NxZiW0PJWIs2cAgPRcM9upFxOA7Zm6B7czkXYSQMGTVRzCh4sS7N9PFD072+pYQD2OAP4/cEGJ1eEBQcD3vaTxLI2zrZ6mIePi8bWiYLr15E8ew7k7y9HvmuAxad0V3yJGvJvlVnigfKpn5r3VwRfBc4yFGvLO1YnDJkFUuTezqm06+FWOG95gd5noq3rreI8pYoSAJpniBUnJeH6+EEQlErkonwYoib6ghBzMaQlFDDs/5RTYCBcSjygb3C7vantn0mmwqCJak7xg+627guA+l1Vm6/dy8W0LQlYM7Q1wuq6A651AG/7WezYUrOtTDF+xZQ0tU4oc5yQm3sHvn5OyPXQnB/H3JwCAw37N3gQ6Gh+jh7w+nwbclMzcXJvJkpKtJ/m1Ge3oC34qmiFE+84rrMFTm/XW/u5wC/ZWrveTBmEmJO1jYWzFbV9BqgpMWiimucdDAS2Vr0sELJwQcgq744LtJ/WpQo1NT5IF2MyHOsav0La6exyfIhY4oC+r7WA1MO48XgVrXCGjJ3S1fX2cGued6umOlusTB2EaJx9+Mg4Nl2sZYybvbHEZ5K9YtBEVENM+YVkSCuSvgzHAL+UqkNbl+OjqvqMK1rh3GWGfyxr6np7uDVPaqZ/a70B5UPj2HSx9Bg3e8eWuupj0ERk5YxpRQps5M0vnBpkjgHRxXfvQtt0eGMGk5tzULqugPLhli+Xhg21noPLlpAtYNBEZOUMWScLsI5WJEOnhRt0LhMFD7bCmOnwYk9PaGu1MXRGoKkHeWsLKNVavmrJoGuyXwyaiGyEta+TZfS0cC2DpY0KHqxgZpepGDIdHtA/k8+YGYEcu0JkHAZNZLzb0D5HGcDdv5RQ+Bfhbl4+AOCOIh9ld5nt25JM2QKkjdEzsjRMuweMCx7s7Uvf4OnwWp7dw+ext2djz/SNWQSsoyWZGDSRsSoW483XvPuuhxIR43+HcnQpGp27DIQAK36+jKsF6rPkmO3bdPQFRKUZCvwzdWq1EwMaytjBptqm8Oe7OqC25dKh2seYMYscJG95DJrIOBWL8W5CefD0CIWiCMr9pVgd0RpStyzMugLMimyCevX/o1aO2b7LGbI6vK41sIzpEgv67DM4+mgPiszdcmPIFH6mSCBLq25+M30tRIaMWeQgeevBoImqphmAthq23wWwHwhr5g6HHFcAQJDMFeH17C8fU3UYM1hX1xpYtpqkEDBsCn9t7pLQ9WVt7kSltZHehYoNZGgLkSFjFrX9uz+8JM6jCyYD9jlxwlIYNBFZgCGDdY1ZA8tW869Yek0za2RMEk22wtUcQxYq1sdULUSGviccSgvR+eTbcCms/LlibxMnLIVBE5GFcLAuaVLTSTTJcLqCekPWcisRm2YIgiF5sCTjp+OPBBf4rv5frZk4YQkMmoiIrExtbIEruXcPAKwmL5euaxo6uSKnThjQYka161KclASxQgFNy0BLcu+UZ5JvEggkcOJETWPQRGSkmpi+r2nK8aOr1RPZq+KkJNyZOg1oMcPiebmMGW+oa3JF0Y0buLzkw2rXx5DJHvoSnhrDkMkptbnFikETVVlybjIUj/Sd38zOhYPLXdzMvgxR/l0L1azmGJ3A0QA6pxzrWa2eyB6UKBRAYSEAWDwvl7UlBzVksoe+hKeGMCZYbLhnd60NnBg0UZUkFyWj365+UJZUDh7cQoB5J8v/Li0rg8xJU6OybaqJ2Wraphwbs1o9kb2whu4laxxvqHeyh56Ep/oYNTlFoUCBi0+VBsnnKPLhVyJCjiIfOVmlOhKqWCcGTVQlilIFlCVKRD8VjVCvf4OH62m5mLY1AWuGtEZDURJk342FXOprwZrWjJqYrfbolGNLrFZPROalaywXYN7xXIYGi7k5pdj+if6EnNqMggtOH7iIs78Dw7x9bSpwYtBERrvrocT17PKlUIRCP5QV1FPtKy3IRVnBPYR4NkG4SAKUlpqtXobMZqnt/fFEZD0MGcsFGNfdry+HlylmXRYoywxaRFyTaydzMe34GUSHN8Wlk7dQUObJoIns19288mVSCk/chlsIMG1rAsoK7qmVUS2RomWplZpgzFij2twfbwrafvNlAj3SRdf7o7a+dwwZywUY9sueMfm9TLUcS1UWEU+9WoY0sQBXT9tcEYJBE6nTsxiv4nIRlJJSzHm8MT7OAz6OdEdDV/Vs355SJ/jlXwbSr9RsXR9iyFijh/vjGTQZz5CBokygR48ydIAx6oSZp0JWqrpjuQzJ78XlWKqPQRP9S89ivAAAfwCjgRDvXCAPCPptKsKKdAwGdHIFXOuYtJq62GpmbFtgyEBRdn/SowydjZZZIMWpz27pPZ+m9ByPsrbEn9q6zArSipHnGmCy69TG/F7mxqCJ/qVnMV4AgALAfsDB7cHSHt0XAPW7aj+nax3AO8ik1TQFQz54NanInZSeVgwXjxyzfDhbU7eGNc4qIutnyPsm93YO9E2Z15me4yFiiQP++0oLSD0kGveba+0+p+JciMXQ3WUWPhpiMewqpYjO8aW3c9Ew8x8gq755K2UiDJqoMm2L8QKqBXlVvIOBwNY1XiVTqu7MD7SfC2zNAJBh0vEBjzImbwq7xMhe6FuoWN8AZGVOEX765Bx+/PAvndcxR+4zl0IFBrzsCwSGaNxfkVYk5KMVNtVCVHz3LgCpxhl/+rKlOwL4CED2Xz8CrWbWeF1NjUET1Tq6Zn6U3LtXPpvlweBMjZydEbR2DbJLXHEgJhFJVzN1ziCpamuUtSXZI6pJxgxkDmzkrfP/lDWt3efu4ah1rFJFWhF3D8car4cpVPwil756DdB+rs7s7dqypV8/mYsPDvyCVy8fNkeVTY5BE9VammZ+KHNuI/P+Nb3Zd50CA+GeUWDwh3xVuwrYHUa1hSkXKramsT3W1L1eXRW/yKVcTgO2ZlQte3tKFm57JNRsRWsQgyayO9rGKxmzlpshA8oN+ZC3pq4CImtnTcFOddlr97pTYCBcSjwA1M7FgRk0kV3RO17JxGu5GfIhb01dBURkHuxet08Mmsiu6BqvZKm13Ozpt2ciMhy71+0PgyZSc9dDCYWiqHyWnAbX0nLNW6Eq0jxeqXzQpWfuHYiTnaBMrnycrY0xICIi82HQRCoVS6Qo95eqpxV4hNTJEW7OtvfWsdcxBkREZB62981HNUZRVL5EyupOrRHW0V1rOZmbBFkpP5uxZqbBMQZERPrpS/5rruSg1ohBE1US5umOx+t56SyTlWKmypgYxxgQUW2nK+ipmPFrSNb12jjjl0ETaZScmwxFofYWmRt5WgY9ERGRVTImgWjf11ppzS1Xca7aOMGFQVNtchvl68tpc7P8j/SSFIzdORzKUh1ZsQFIy8ogc9LejUdERNbDlAlEaysGTbXFbZSvKZevo4w/gNGA0vEqlKWFiE5LR2ix9v9cMgdnyOs0MW09iYioxjAFSvUwaKot0lEeMG1CefCkiQLAfsDBLRsAEPrUXITX76r9nK51AO8g09ZTC52rZoOpAoiIqOYxaKptmgFoq2XfXainGvAOBgJb13iV9ClOSsL1Ps9pXTW7gkgqhdjTE0CGeSpGRES1CoMmsnolCgUEpVLnIrpAeaqAzBIPALfMVjciIqo9GDSRzTBkEV3czjFPZYiIqNZxsHQFiIiIiGwBW5pqEXtZV46IiMgSGDTVEva+rhwREVFN47djLWHv68oRERHVNAZNtUxV1pXTt3gjwAyyRERk/xg01ULGrCuXk1GAzYuP61+8UQwMeNkX7h6O6ttlMpMukMvVt4mIyFIYNNUy6SUpGLtrBJQluhNFVqwrV5BbjJKiMkSMCYeP3E21v+TePdyZOg0oLESeawASw0fj5pRZ8Mi9o3YekVSKhnt2wykwsNotVrk5pdj+iQEBXC1dfZuIiGoWg6ZaJqcsC8oSJaIfn4RQt3qaC2X+Ddn+JZBLfXGvpHyTj9wNdet7qIooc24j8/41BL6/HNnuQUjcmgH5+8vh6/dvsFJ04waSZs9BiUKBAhefKrdYVSyRUqAs0xjAPYpdhUREVBMYNNmT2yhfY06Tm+V/iIvSAAChPy9CeJGOVh8n1/K15bJ1X1ISGgoXj/oAMuDSsCGkDwVWDzOmxer8nBVwy39kYFWdMAhFzgAqB3BERETmwKDJXtxG+bpy+Vr2+wMYDThIHkRB3RcAhizGm23aDNu6WqyK6gbjyqZ0JIaP1nzwjmR2vRERkcUwaLIX6SgPmDahPHh6lALl+Zm8AaTBahbjrSAJDYVX8+YY1lj3uCd2vRERkaUwaLI3zQC01bD9LnQmtbQWHj4uDIqIiMgqMWiyE3fzlFD4F5W3KGlYJoVLpBAREVUPgyY7cDdTiYh9v0M5+sESKVpalGp6iZRHcyQVpBUjxz0I6WnFyM9l/iQiIlKXUfIYkFyCHCcRfHMfQ87dYtzL+3csrbUNyWDQZAcUeUVQlpZi9Y+tEbbWHWiquVxNLZHi4u4EscQBB2ISK+9sPxfYmgEgg4O4iYgIAOBUnAuxo4ADWTOAz8onKA3CbPx57j7+xH1VObHEAcMWd7aawIlBkx0Ju++Ox2VegJb0S0DlJVK0KU5KKs+vlFY+KLvg+nUoc9RzMFXw8HHBsMWdKw3gLrh+Hcmz50D+/nK4NGxodb8xEBGRZbgUKjDg2Rzg6BJgwGe44eSEuYfnYtlTyxDqHQqgvPfiQEwiCnKLrea7g0GTvcm/AyTd174/82+9pyhOSsL1Ps9BUCqR4x4EtJ+L5NlzkKsh27dYJgOgeQC3MscJubl34Jl7B5IcJyAHUCarX+vh4IuIiGoPdzcBUqcbgNMN3JNIkO7+DzwkN1FXLJQXED/IrpyTAsA6cvMxaLIjTu53kXyoJxSHCrWWueHkBPj5Ai7aF+0tUSggKJWqbN/QkO0b0L+unFgmg0gqRdLsOTrr/XDwRUREtYSLV3ki5e0TAIkTUE8ObB8PVCReLg4F8AHw7UhgxrfluQMtjEGTHcmoew0j5N5QOjjoLCd1dIbMV8vAp4cYmu1bG6fAQDTcsxslCu2LAwOmX9SXiIhsgIc/MPkkkH8fyL4FnFgADPgc8GxQvj+5pHy8U0lBeRkGTWRK2dJcKB0cyteVa/CM1nIyZxnk7nIA0LiIrilnvTkFBjIgIiIizbyDyn+cJeWv6zYG6oSX/70kB8Api1VNEwZNtkLXunKPNOSEutVDeMWbToecjALti+hy1hsREdUgtTGtWTcRkiIAl29A6VU+pqmkQGqhmmnHoOkR69atw/vvv4+UlBS0atUKH374ITp27GjZShm4rhyMiGuKk5KQeTkNJUVl6NrLE16yf98KxXfvIn31Gs56IyIik8uWuEGQuKiNdxUBeA8AYmbj1oNtOXXCgBYzzF9BHRg0PWTr1q2YOXMm1q9fj06dOmH16tWIjIzE5cuX4efnZ7mKpQN3HZVQfFYEhFTefS07FzgBYDrK15V7QFPXGwCU3LuHO1OnIc9RBoSPRv7SeXB8ZGacp1SKgCZ+cAq0jhkLRERkH+65ylC2YAsahpeott3MuqlKORDiFYKiGzdwecmHFqylZgyaHrJy5UpMmDABY8aMAQCsX78ee/bswYYNGzB37lyL1etunhIR43+H162r8PinvI9OWuoMSdm/TUtdJCKkZxeVZ1S9nIerN07j172ZKCnRctIH0btYDIR8tALuHo5quzk4m4iIaoxPAKTNH5rFfV+Em1dFQJNQSA0YXmIpDJoeKCoqQnx8PKKiolTbHBwcEBERgWPHjlmwZoCiqAherldR2vATFOcAfjkyPJk6D2LBWa1cZhowCJ3x5zkAyIRDaSFanf8MkmIN6845OyNo7Rq4hwSy642IiKzCjawH45yybv67zUmMe9m3AGeJ2kQmS2DQ9EB6ejpKS0vh7++vtt3f3x+XLl2qVL6wsBCFhf/mQ8rKygIAZGdnm7xuuXnZkJbeRfG9UrwXC+RJnHC6TQkaXoqFqzKt8gESCfymT4Ornxfc3N/QeE6xtzec5L4QUITs7CKT15mIiOhRuXnZKCvMR25eNrKzRart4kIxJEUSzPmlfJxTcKqA2aVyKIvyMMvdG/cPzgMASB2l+KbPNwhwDzBZnSq+twVB0FuWQVMVRUdHY8mSJZW2BwXVbB6JzgCAS0DCb7oLDjP9GnNERESm0GW17v0XAezT8l3XBE1qpE45OTnw8tKe+Blg0KTi6+sLR0dHpKamqm1PTU1FQEDliDYqKgozZ85UvS4rK0NGRgbq1KkDkUhUqXx1ZGdnIygoCHfu3IGnp6dJz20P+Hz04zPSjc9HNz4f/fiMdLPm5yMIAnJychBowDheBk0PSCQStGvXDnFxcejfvz+A8kAoLi4OU6ZMqVTe2dkZzs7qY4q8vb1rtI6enp5W92azJnw++vEZ6cbnoxufj358RrpZ6/PR18JUgUHTQ2bOnIlRo0ahffv26NixI1avXo28vDzVbDoiIiKqvRg0PWTIkCG4d+8eFi5ciJSUFLRu3Rr79u2rNDiciIiIah8GTY+YMmWKxu44S3J2dsaiRYsqdQdSOT4f/fiMdOPz0Y3PRz8+I93s5fmIBEPm2BERERHVcg6WrgARERGRLWDQRERERGQABk1EREREBmDQRERERGQABk1WYt26dWjQoAFcXFzQqVMnnDx5Umf57777Dk2bNoWLiwtatGiBvXv3mqmmlmHM89m4cSNEIpHaj4uL/S5KfOjQIfTt2xeBgYEQiUTYuXOn3mMOHjyItm3bwtnZGWFhYdi4cWON19OSjH1GBw8erPQeEolESElJMU+FzSw6OhodOnSAh4cH/Pz80L9/f1y+fFnvcbXlc6gqz6e2fQ59/PHHaNmypSp5ZZcuXfDTTz/pPMYW3z8MmqzA1q1bMXPmTCxatAinT59Gq1atEBkZibQ0DYvxAjh69CheeukljBs3DmfOnEH//v3Rv39/nD9/3sw1Nw9jnw9QnnU2OTlZ9fP333+bscbmlZeXh1atWmHdunUGlb958yb69OmDZ555BgkJCZg+fTrGjx+Pn3+23/UKjX1GFS5fvqz2PvLz86uhGlrW77//jsmTJ+P48ePYv38/iouL0atXL+Tl5Wk9pjZ9DlXl+QC163Posccew7JlyxAfH48///wT3bt3R79+/XDhwgWN5W32/SOQxXXs2FGYPHmy6nVpaakQGBgoREdHayz/4osvCn369FHb1qlTJ+GVV16p0XpairHPJyYmRvDy8jJT7awLAGHHjh06y8yZM0do3ry52rYhQ4YIkZGRNVgz62HIM/rtt98EAIJCoTBLnaxNWlqaAED4/ffftZapbZ9DDzPk+dTmz6EKMplM+PzzzzXus9X3D1uaLKyoqAjx8fGIiIhQbXNwcEBERASOHTum8Zhjx46plQeAyMhIreVtWVWeDwDk5uYiODgYQUFBOn/bqY1q0/unulq3bg25XI6ePXvijz/+sHR1zCYrKwsA4OPjo7VMbX4fGfJ8gNr7OVRaWootW7YgLy8PXbp00VjGVt8/DJosLD09HaWlpZWWavH399c6fiIlJcWo8rasKs+nSZMm2LBhA3bt2oVNmzahrKwMTzzxBP755x9zVNnqaXv/ZGdnQ6lUWqhW1kUul2P9+vX4/vvv8f333yMoKAjdunXD6dOnLV21GldWVobp06fjySefxOOPP661XG36HHqYoc+nNn4OnTt3Du7u7nB2dsakSZOwY8cOhIeHayxrq+8fLqNCdqdLly5qv9088cQTaNasGT755BO8/fbbFqwZ2YomTZqgSZMmqtdPPPEErl+/jlWrVuGrr76yYM1q3uTJk3H+/HkcOXLE0lWxSoY+n9r4OdSkSRMkJCQgKysL27Ztw6hRo/D7779rDZxsEVuaLMzX1xeOjo5ITU1V256amoqAgACNxwQEBBhV3pZV5fk8ysnJCW3atMG1a9dqooo2R9v7x9PTE1Kp1EK1sn4dO3a0+/fQlClTsHv3bvz222947LHHdJatTZ9DFYx5Po+qDZ9DEokEYWFhaNeuHaKjo9GqVSusWbNGY1lbff8waLIwiUSCdu3aIS4uTrWtrKwMcXFxWvuCu3TpolYeAPbv36+1vC2ryvN5VGlpKc6dOwe5XF5T1bQpten9Y0oJCQl2+x4SBAFTpkzBjh078OuvvyIkJETvMbXpfVSV5/Oo2vg5VFZWhsLCQo37bPb9Y+mR6CQIW7ZsEZydnYWNGzcKiYmJwsSJEwVvb28hJSVFEARBGDFihDB37lxV+T/++EMQi8XCihUrhIsXLwqLFi0SnJychHPnzlnqFmqUsc9nyZIlws8//yxcv35diI+PF4YOHSq4uLgIFy5csNQt1KicnBzhzJkzwpkzZwQAwsqVK4UzZ84If//9tyAIgjB37lxhxIgRqvI3btwQXF1dhdmzZwsXL14U1q1bJzg6Ogr79u2z1C3UOGOf0apVq4SdO3cKV69eFc6dOydMmzZNcHBwEA4cOGCpW6hRr776quDl5SUcPHhQSE5OVv3k5+erytTmz6GqPJ/a9jk0d+5c4ffffxdu3rwpnD17Vpg7d64gEomEX375RRAE+3n/MGiyEh9++KFQv359QSKRCB07dhSOHz+u2te1a1dh1KhRauW//fZboXHjxoJEIhGaN28u7Nmzx8w1Ni9jns/06dNVZf39/YVnn31WOH36tAVqbR4V0+Mf/al4JqNGjRK6du1a6ZjWrVsLEolECA0NFWJiYsxeb3My9hm99957QsOGDQUXFxfBx8dH6Natm/Drr79apvJmoOnZAFB7X9Tmz6GqPJ/a9jk0duxYITg4WJBIJELdunWFHj16qAImQbCf949IEATBfO1aRERERLaJY5qIiIiIDMCgiYiIiMgADJqIiIiIDMCgiYiIiMgADJqIiIiIDMCgiYiIiMgADJqIiIiIDMCgiYiIiMgADJqIqFY4ePAgRCIRMjMzTVJ28eLFaN26daVt/v7+EIlE2Llzp1H1i4uLQ7NmzVBaWqq3bHp6Ovz8/PDPP/8YdQ0iqh4GTURkVUaPHg2RSASRSAQnJyeEhIRgzpw5KCgosHTV1MyaNUttwdGLFy9iyZIl+OSTT5CcnIz//ve/aNCgAVavXm3Q+ebMmYP58+fD0dFRb1lfX1+MHDkSixYtqmr1iagKGDQRkdXp3bs3kpOTcePGDaxatQqffPKJ1QUI7u7uqFOnjur19evXAQD9+vVDQEAAnJ2dDT7XkSNHcP36dQwcONDgY8aMGYOvv/4aGRkZhleaiKqFQRMRWR1nZ2cEBAQgKCgI/fv3R0REBPbv36/aX1ZWhujoaISEhEAqlaJVq1bYtm2b2jn27t2Lxo0bQyqV4plnnsGtW7fU9v/999/o27cvZDIZ3Nzc0Lx5c+zdu1etTHx8PNq3bw9XV1c88cQTuHz5smrfw91zixcvRt++fQEADg4OEIlE6NatG/7++2/MmDFD1XKmzZYtW9CzZ0+4uLiotjVo0EB13MM/FZo3b47AwEDs2LHDsIdKRNXGoImIrNr58+dx9OhRSCQS1bbo6Gh8+eWXWL9+PS5cuIAZM2bg5Zdfxu+//w4AuHPnDgYMGIC+ffsiISEB48ePx9y5c9XOO3nyZBQWFuLQoUM4d+4c3nvvPbi7u6uVefPNN/HBBx/gzz//hFgsxtixYzXWcdasWYiJiQEAJCcnIzk5Gdu3b8djjz2Gt956S7VNm8OHD6N9+/Zq206dOqU67p9//kHnzp3x1FNPqZXp2LEjDh8+rOcJEpGpiC1dASKiR+3evRvu7u4oKSlBYWEhHBwc8NFHHwEACgsLsXTpUhw4cABdunQBAISGhuLIkSP45JNP0LVrV3z88cdo2LAhPvjgAwBAkyZNVIFRhdu3b2PgwIFo0aKF6hyPevfdd9G1a1cAwNy5c9GnTx8UFBSotQgB5V113t7eAICAgADVdkdHR3h4eKht0+Tvv/9GYGCg2ra6deuq/j5t2jQkJyfj1KlTamUCAwNx5swZnecmItNh0EREVueZZ57Bxx9/jLy8PKxatQpisVg13ufatWvIz89Hz5491Y4pKipCmzZtAJQPyu7UqZPa/ooAq8LUqVPx6quv4pdffkFERAQGDhyIli1bqpV5+LVcLgcApKWloX79+qa50QeUSmWlQKzCp59+ii+++AJHjx5VC6QAQCqVIj8/36R1ISLt2D1HRFbHzc0NYWFhaNWqFTZs2IATJ07giy++AADk5uYCAPbs2YOEhATVT2JiYqVxTbqMHz8eN27cwIgRI3Du3Dm0b98eH374oVoZJycn1d8rxhOVlZVV9/Yq8fX1hUKhqLT9t99+w2uvvYYvv/yyUkAHABkZGZUCKSKqOQyaiMiqOTg4YN68eZg/fz6USiXCw8Ph7OyM27dvIywsTO0nKCgIANCsWTOcPHlS7TzHjx+vdO6goCBMmjQJ27dvx+uvv47PPvvMpHWXSCQG5V1q06YNEhMT1bZdu3YNgwYNwrx58zBgwACNx50/f17VukZENY9BExFZvcGDB8PR0RHr1q2Dh4cHZs2ahRkzZiA2NhbXr1/H6dOn8eGHHyI2NhYAMGnSJFy9ehWzZ8/G5cuXsXnzZmzcuFHtnNOnT8fPP/+Mmzdv4vTp0/jtt9/QrFkzk9a7QYMGOHToEO7evYv09HSt5SIjI3HkyBHVa6VSib59+6JNmzaYOHEiUlJSVD8V8vPzER8fj169epm0zkSkHYMmIrJ6YrEYU6ZMwfLly5GXl4e3334bCxYsQHR0NJo1a4bevXtjz549CAkJAQDUr18f33//PXbu3IlWrVph/fr1WLp0qdo5S0tLMXnyZNXxjRs3xv/+9z+T1vutt97CrVu30LBhQ53daMOHD8eFCxdUKQ1SU1Nx6dIlxMXFITAwEHK5XPVTYdeuXahfv36lGXVEVHNEgiAIlq4EEVFtN3v2bGRnZ+OTTz4xqHznzp0xdepUDBs2rIZrRkQV2NJERGQF3nzzTQQHBxs00Dw9PR0DBgzASy+9ZIaaEVEFtjQRERERGYAtTUREREQGYNBEREREZAAGTUREREQGYNBEREREZAAGTUREREQGYNBEREREZAAGTUREREQGYNBEREREZAAGTUREREQG+H8htbAndTV2BgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_min = 0\n", "m_max = 60\n", "plt.hist(\n", " double_total[(double_total[\"mag_i\"] > m_min) & (double_total[\"mag_i\"] < m_max)][\n", " \"z\"\n", " ],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"SLSim new\",\n", " color=\"magenta\",\n", " cumulative=False,\n", ")\n", "plt.hist(\n", " single_total[(single_total[\"mag_i\"] > m_min) & (single_total[\"mag_i\"] < m_max)][\n", " \"z\"\n", " ],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"SLSim old\",\n", " cumulative=False,\n", ")\n", "plt.hist(\n", " dc2_galaxies[\n", " (dc2_galaxies[\"mag_true_i_lsst\"] > m_min)\n", " & (dc2_galaxies[\"mag_true_i_lsst\"] < m_max)\n", " ][\"redshift\"],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"DC2-1\",\n", " cumulative=False,\n", ")\n", "plt.hist(\n", " dc2_galaxies2[\n", " (dc2_galaxies2[\"mag_true_i_lsst\"] > m_min)\n", " & (dc2_galaxies2[\"mag_true_i_lsst\"] < m_max)\n", " ][\"redshift\"],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"DC2-2\",\n", " cumulative=False,\n", ")\n", "plt.hist(\n", " diffsky_galaxies[\n", " (diffsky_galaxies[\"mag_true_i_lsst\"] > m_min)\n", " & (diffsky_galaxies[\"mag_true_i_lsst\"] < m_max)\n", " ][\"redshift\"],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"Diffsky-1\",\n", " cumulative=False,\n", ")\n", "plt.hist(\n", " diffsky_galaxies2[\n", " (diffsky_galaxies2[\"mag_true_i_lsst\"] > m_min)\n", " & (diffsky_galaxies2[\"mag_true_i_lsst\"] < m_max)\n", " ][\"redshift\"],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"Diffsky-2\",\n", " cumulative=False,\n", ")\n", "plt.xlabel(\"Redshift (z)\")\n", "plt.ylabel(\"Number (N)\")\n", "plt.legend(loc=\"upper left\", fontsize=10)\n", "plt.title(r\"$mag_i < 30$\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# m_min = 0\n", "# m_max = 60\n", "fig, ((ax1, ax2, ax3), (ax4, ax5, ax6)) = plt.subplots(\n", " nrows=2, ncols=3, figsize=(20, 12)\n", ")\n", "m_slices = ((13, 60), (15, 30), (19, 27), (19.5, 24), (19, 23.5), (19, 23))\n", "\n", "for ax, (m_min, m_max) in zip([ax1, ax2, ax3, ax4, ax5, ax6], m_slices):\n", " ax.hist(\n", " double_total[(double_total[\"mag_i\"] > m_min) & (double_total[\"mag_i\"] < m_max)][\n", " \"z\"\n", " ],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"SLSim new\",\n", " color=\"magenta\",\n", " cumulative=False,\n", " )\n", " ax.hist(\n", " single_total[(single_total[\"mag_i\"] > m_min) & (single_total[\"mag_i\"] < m_max)][\n", " \"z\"\n", " ],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"SLSim old\",\n", " cumulative=False,\n", " )\n", " \"\"\"ax.hist(dc2_galaxies[(dc2_galaxies[\"mag_true_i_lsst\"]>m_min) & \n", " (dc2_galaxies[\"mag_true_i_lsst\"] m_min)\n", " & (dc2_galaxies2[\"mag_true_i_lsst\"] < m_max)\n", " ][\"redshift\"],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"DC2\",\n", " cumulative=False,\n", " )\n", " ax.hist(\n", " diffsky_galaxies[\n", " (diffsky_galaxies[\"mag_true_i_lsst\"] > m_min)\n", " & (diffsky_galaxies[\"mag_true_i_lsst\"] < m_max)\n", " ][\"redshift\"],\n", " bins=50,\n", " density=False,\n", " histtype=\"step\",\n", " label=\"Diffsky\",\n", " cumulative=False,\n", " )\n", " \"\"\"ax.hist(diffsky_galaxies2[(diffsky_galaxies2[\"mag_true_i_lsst\"]>m_min) & \n", " (diffsky_galaxies2[\"mag_true_i_lsst\"]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z_range = np.linspace(0.0, 3.01, 100)\n", "## These are the parameters used in the lsst-like_new.yml file for 1st schechter\n", "# function for red galaxies.\n", "# slsim new\n", "redshift, magnitude = double_total[\"z\"], double_total[\"mag_i\"]\n", "\n", "# slsim old\n", "redshift2, magnitude2 = single_total[\"z\"], single_total[\"mag_i\"]\n", "\n", "\n", "# dc2\n", "redshift3, magnitude3 = dc2_galaxies[\"redshift\"], dc2_galaxies[\"mag_true_i_lsst\"]\n", "\n", "# diffsky\n", "redshift4, magnitude4 = (\n", " diffsky_galaxies[\"redshift\"],\n", " diffsky_galaxies[\"mag_true_i_lsst\"],\n", ")\n", "\n", "fig, ((ax1, ax2, ax3), (ax4, ax5, ax6)) = plt.subplots(\n", " nrows=2, ncols=3, figsize=(20, 12)\n", ")\n", "# bins = np.linspace(-24.84408295574346, -14, 40)\n", "# bins2 = np.linspace(-19.1724664526037, -14, 30)\n", "z_slices = ((0.0, 0.5), (0.5, 1), (1, 1.5), (1.5, 2), (2, 2.5), (2.5, 3))\n", "\n", "for ax, (z_min, z_max) in zip([ax1, ax2, ax3, ax4, ax5, ax6], z_slices):\n", "\n", " # Redshift grid\n", " z = np.linspace(z_min, z_max, 100)\n", "\n", " # SkyPy simulated galaxies\n", " z_mask = np.logical_and(redshift >= z_min, redshift < z_max)\n", " magnitude_bin = magnitude[z_mask]\n", " bins = np.linspace(min(magnitude_bin), max(magnitude_bin), 30)\n", " dV_dz = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV = np.trapz(dV_dz, z)\n", " dM = (np.max(bins) - np.min(bins)) / (np.size(bins) - 1)\n", " phi_slsim_new = np.histogram(magnitude[z_mask], bins=bins)[0] / dV / dM\n", "\n", " z_mask2 = np.logical_and(redshift2 >= z_min, redshift2 < z_max)\n", " magnitude_bin2 = magnitude2[z_mask2]\n", " bins2 = np.linspace(min(magnitude_bin2), max(magnitude_bin2), 30)\n", " dV_dz2 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV2 = np.trapz(dV_dz2, z)\n", " dM2 = (np.max(bins2) - np.min(bins2)) / (np.size(bins2) - 1)\n", " phi_slsim_old = np.histogram(magnitude2[z_mask2], bins=bins2)[0] / dV2 / dM2\n", "\n", " z_mask3 = np.logical_and(redshift3 >= z_min, redshift3 < z_max)\n", " magnitude_bin3 = magnitude3[z_mask3]\n", " bins3 = np.linspace(min(magnitude_bin3), max(magnitude_bin3), 30)\n", " dV_dz3 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV3 = np.trapz(dV_dz3, z)\n", " dM3 = (np.max(bins3) - np.min(bins3)) / (np.size(bins3) - 1)\n", " phi_dc2 = np.histogram(magnitude3[z_mask3], bins=bins3)[0] / dV3 / dM3\n", "\n", " z_mask4 = np.logical_and(redshift4 >= z_min, redshift4 < z_max)\n", " magnitude_bin4 = magnitude4[z_mask4]\n", " bins4 = np.linspace(min(magnitude_bin4), max(magnitude_bin4), 30)\n", " dV_dz4 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV4 = np.trapz(dV_dz4, z)\n", " dM4 = (np.max(bins4) - np.min(bins4)) / (np.size(bins4) - 1)\n", " phi_diffsky = np.histogram(magnitude4[z_mask4], bins=bins4)[0] / dV4 / dM4\n", "\n", " # Plotting\n", " ax.step(\n", " bins[:-1],\n", " phi_slsim_new,\n", " where=\"post\",\n", " label=\"slsim new\",\n", " color=\"magenta\",\n", " zorder=3,\n", " )\n", " ax.step(bins2[:-1], phi_slsim_old, where=\"post\", label=\"slsim old\", zorder=3)\n", " ax.step(bins3[:-1], phi_dc2, where=\"post\", label=\"DC2\", zorder=3)\n", " ax.step(bins4[:-1], phi_diffsky, where=\"post\", label=\"diffsky\", zorder=3)\n", " ax.set_title(r\"${:.2f} \\leq z < {:.2f}$\".format(z_min, z_max))\n", " ax.set_xlabel(r\"$M_i$\")\n", " ax.set_ylabel(r\"$\\Phi \\, [\\mathrm{Mpc}^{-3} \\, \\mathrm{mag}^{-1}]$\")\n", " ax.set_yscale(\"log\")\n", " # ax.set_xlim([-14, -24])\n", " # ax.set_ylim([min(magnitude_bin), None])\n", " ax.legend(loc=\"lower center\")\n", " ax.invert_xaxis()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SLSim galaxy luminosity functions in different \n", "## redshift bins. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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XEyUya8qUKbh48SIyMjJQXl6OAQMGYMeOHYaBxpcuXTKZOv/TTz9h2rRpuHz5Mrp06YLhw4fj4MGD6NKli9X3be7VV1/F8uXLW4zz9OnThkUthRBYsWIFqqqqTFpgDh06hPj4+FbrrVKpMHXqVEydOhWlpaVm11ACgCNHjuCuu+4yvE5PTwcAJCcnIycnB4DpM7Km7rY8HyJfx8HYZjgy7shDCCEw47MZKLpY1GrZgaEDseGeDW5NliRC2DBvnIw0jVGqrKxEhw4djM7V1dWhpKQEvXr1gkqlsnAHIsfw54x8WU2DFjEZOx2+z5CoTvjwqUS3t0w4RUO17bOn3b11SPOYny9FjUSChHcTrL684OECBDp5CYKWfn/fjC1KRETk8ewdjA14+YDslnjgFH6zXWra2hvvr61FbbNY8h/Kh1quNrlPrbYWIz8Y6cJIrcdEiYiIXMrecUbNxxg1Dcb2WT4y7shil1rPX5df+fAuo8NqudrprUXO5sM/dURE5G4cZ2QFHxh3BDS2Alkz7qjJwJD+UOv1jV1zHoyJEhERuYzfL/poDS/ZOqS1mWrNzxl1qWlqgBWmm+KqS36A5HB38zeLHOoxGYqHhEFERL7O7xZ9tKc7zQPHHQG2zVQDbupSk6uBiATgx4PN7gcInQSWZpPpvzuCgB7dDe/tTkyUiIioTfj8OKPm7O1O87BxR01s6VYbGDrQeIC2RNI46+7XpFEIge+TH0dt0dct3uctNI5Rq/j8cfR69z23Jct+8hNLRETUhrykOw2wbvFHi91qZqhkKojaWjOtRY2Jjr62rtUkqbn6Y19B1NZCEuieQd9MlIiIiFzJQ7vTANu71ICWZ6oJIfD9w4+g9tgxq+512/59kKqbJV0NNcArvSEA1Dx1GD+N/oPVcbkKEyUiImoRtxH5lbVjjgCPnsbfnM0z1W7uVruJqK1FzbFj0Eol0EuULd6rXf/+0LcLhmieHMq0gLTxOqUyGDqpElJ9g9XxuQITJSIisojT+3/lpVP47Z6pZoHlbrVGupoaHOgdjqvtWr4PAEgkMiif3oWmLrkb3mr8z8JjwB0r0bHqW0S7cUA3EyUya+/evVixYgUKCwtRVlaGzZs3Y+LEia1el5WVhRUrVqC8vBxxcXFYs2YNhg4danMZT2fP83nxxRexePFio2PR0dE4c+aM0TFfeD7kO5wxvR/wgSn+9ow5Atw27ghwcKaahfu11q2mlUpwtd+t1sWnu4j6q6+1WEYiC8fVDlOgkwXAXT89fp0o/fjjj5g+fTouXLgAuVyOhQsX4sEHH3R3WB6huroacXFxmDlzJiZNmmTVNZs2bUJ6ejqys7ORkJCAzMxMJCUl4ezZswgNDbW6jLU0Gg0AQKFQ2FY5K125cgUKhcLsxrj2PB8AiI2Nxa5duwyv5XLjf4LOfD5EzsZtRH5l7ZgjwC3jjpo4NFPNDGu61XTSG3UNCH4K0/93BBQBxj8zQgj8Z8l8XPqhpNW4hK4UgNatPzt+nSjJ5XJkZmZiwIABKC8vx+DBgzFu3Di0a+eZfcltaezYsRg7dqxN16xcuRIpKSl47LHHAADZ2dnYtm0b1q1bh3nz5lldpiWlpaX47LPPsH37duzatQsFBQW4/fbbjcosXboUL7zwgsm1q1atwpw5c1q8v1arxc6dO5GTk4NPPvkEBQUFiIuLMylnz/MBGn/munbtavG8o8+HyJV8cnq/D2wdYo3WutWazulrLD8LW7rVAAASBQI7tDNJlABgxj/+D9r6etNrGqqBV3pDo5dh7bnfWvc+LuZjP/G26datG7p16wYA6Nq1K0JCQvDLL7+4LFGyZgqmq6jlapdm5A0NDSgsLMT8+fMNx6RSKUaPHo0DBw5YXeZmOp0OBQUF2L59O7Zv346ioiLExsZi/PjxmDNnDvr06WNyzezZszFz5kzD64yMDOTm5mLy5MkW4z9+/DhycnLwzjvvQKPRYMqUKdi9e7fZJMkR586dQ3h4OFQqFRITE7Fs2TL06NEDgH3Ph8hazthvzed46bgjwPYp/dZ2q9UcOwa91HxrkVYiwdW+EVbFJ5GFo9tvboFcKTV/XiKBQqUyPSHVAVK9Ve/RVjw6UbJmHIizxnMUFhZCp9MhMjLSSdGbqtXWIuHdBJfdvyUFDxe4dOPBS5cuQafTISwszOh4WFiYYQyONWWaW79+PebOnYvq6mqMGjUKTzzxBMaPH4+oqKgWYwkKCkJQUBAAYOHChcjNzUV+fj4iIoz/gV++fBlvv/02NmzYgJMnT2LcuHF4/fXXce+990KpbHm2hj0SEhKQk5OD6OholJWVYfHixbjjjjtw4sQJBAUF2fx8iKzFAdkWeNFaR83ZM6W/NfqaGlR9VYSvBvwFlcEWxhgJDVCZDcByt1oTuTIAigDndLfOXDHcYsLVFjw6UWptHIg14zkGDBgArVZrcm1ubi7Cw8MBAL/88gtmzJiBN954w7UVIpt06tQJEREROH78OMrLy1FWVobS0lJERkZCKm39H01GRgbeeust5Ofno2fPnibn16xZY0hWiouLXZokAzDqquvfvz8SEhIQFRWFDz74AI8//rhL35v8G/dbs4IHr3V0M3um9KtkKovdakIIbFryAsr63QqIbcDV1u/Z9dZb0CEkqE3GDimU7h3f5tGJUmvjQKwZz1FUVNTie9TX12PixImYN28ehg0b1mrZ+mZ9qlVVVVbWpJFarkbBw+5p4m1tkJ6jQkJCIJPJUFFRYXS8oqLCMCbHmjLNTZw4ERMnTsTPP/9s6HpbvXo1FAoFkpKSMG7cODz44IMICAgwuXbRokXYuHGjxSQJAFJTUyGXy7Fx40bExsbigQcewPTp0zFy5EirEjFHdezYEX369EFxcTEA258PkT38Yr81Lx935Iop/T888keL3WpaiQRlVnapAUC32/4Hk55L8J6fBwd5dKLUEmeM5xBC4NFHH8Xdd9+N6dOnt1p+2bJlJtO7bSGRSFza/eVOSqUSgwcPRl5enqF7VK/XIy8vD7NmzbK6jDndu3dHSkoKUlJS0NDQgL1792L79u1YsmQJ4uPjER0dbVR+0aJF2LBhQ4tJEgCEh4djwYIFWLBgAb788kts2LABkyZNQlBQEB555BFMnz4dsbGxDj2Xlly/fh3nz583/OzZ+3yIbOGTA7Kb8+JxR4B9U/rVcjVEreXESlf5S8vdajd1qUGiwMwVw6GwkFDLAwL8JkkCvDhRcsZ4jv3792PTpk3o378/tmzZAgB466230K9fP7Pl58+fj/T0dMPrqqoql3fXuMv169cNLR0AUFJSgqKiInTu3Bk9evTAa6+9hs2bNyMvL89QJj09HcnJyRgyZAiGDh2KzMxMVFdXG1r8rC3T5OLFi7h8+bLJ8YiICKSmpiI1NRW9evUyOrdkyRKsXbsWW7duhUqlQnl5OYDGbjxzLU9Nhg0bhmHDhmH16tXYsmULcnJy8Morr+DYsWNmfx5aez4ATJ7R3LlzMWHCBERFRaG0tBSLFi2CTCbDtGnT7Ho+5H84INsKHjzuyNoB2LZM6VfJVC2ubSQAHOwdjivWdqtJFAjvHQJ1UKBfJUMt8dpEyRmGDx8Ovd760fUBAQEt/rL1JUeOHMFdd91leN2UICYnJyMnJweXLl3C+fPnja6ZMmUKLl68iIyMDJSXl2PAgAHYsWOHUTJrTZkmr776KpYvX95inKdPnzYsDyCEwIoVK1BVVYXExESjcocOHUJ8fHyr9VapVJg6dSqmTp2K0tJSs2soAa0/HwAmz+inn37CtGnTcPnyZXTp0gXDhw/HwYMH0aVLF0MZW54P+RcOyLaDB407smcAtjVT+kVtrSFJEoBJ15pWIsEVK6fzd7vtfzB5wSinDcL2FRIh3LguuA0kEonRrLeGhgYEBgbiP//5j9FMuOTkZFy9ehUff/yxy2OqqqpCcHAwKisr0aFDB6NzdXV1KCkpQa9evaAyNwWSyAn4c+Y/ahq0iMnY6dA9hkR1wodPJXrfL0Fb91h7pXfj98+Xesy4oxpNjU2zngeGDsSGezYAQMvdajU1ODNiBASAM9OyceGnm8oKDeqt7FbziC61hmpgaTiEALTPfgso27kkrpZ+f9/Ma1uU3DmeIysrC1lZWdDp/Kg5m4g8hl8MyG7iJWOOnD0Au+m81d1qAHDiHy0H6UXdahIJGtdZUrr/D0CPTpRaGwfirvEcaWlpSEtLM2SkRERtyecHZDfnBXusOXtPtSa66mpc+6oIkEoau9Vu2jZEJ2W3Wlvw6H9prY0D4XgOIiI/4qF7rDl7TzXg17WNlmY0rm1khaZuNQBmu9Y8olvNS3l0ojRy5Ei0NoRq1qxZnDpNRF7B3llrgA/OXPOStY5s3SrEmgHYEokEQogWxx5p6utQVnzWqhglsnBA0njfbr8J9oquNW/i0YmSp+IYJSKyFWetNeNF445snalmTbda075qrc1Ww6+LQI44ewEFCS8DAKYvSTTZNkSuvNFaJFdKmSQ5GRMlO3CMEhHZyhnbiAA+spWIB6911Jw9W4Wo5epWW4v0tbWoOXYMul/HHn3Vf7bpQpDNFoEsSHgZkl+71QI7tLO4vxq5BhMlIqI2Zu+sNcBLZ661xIPWOmqJs2aqAc1mqzUNxLZyf7Vuvwl26+aw/oqJEhFRG/PZWWteMu6oiS1T+u2ZqQbAabPVJBIJu9XcxAf/pboexygREd3ES8YdNbFn/FHTdZa61YQQ2LTkBatnqgGcreYNmCjZgWOUiIhu4iXjjprYM6W/tUHYWokEZb8OwLYGZ6t5ByZKZNbevXuxYsUKFBYWoqyszGj7GEtefPFFLF682OhYdHS0ySbFWVlZWLFiBcrLyxEXF4c1a9Zg6NChzq6CSy1btgwfffQRzpw5A7VajWHDhmH58uWIjo5u8Tpr6u4Lz8eXcWNaK7h53JGrpvTra2qMkqSjA9NRGfybZu+rAa6uAWDcUgRwtpo3Y6JEZlVXVyMuLg4zZ87EpEmTrL4uNjYWu3btMryWy41/xDZt2oT09HRkZ2cjISEBmZmZSEpKwtmzZxEaGmpTjBqNBgCgUChaKWmfK1euQKFQmN0Yd8+ePUhLS0N8fDy0Wi2ef/55jBkzBqdOnUK7dubHW1hTd2c+H3I+v5zi74Xjjuyd0m+pW01oaiHQuK+a9texR1Hbd+LzZacaZ6fdKHjje4nCMFOt22+C0SEkiImQl2KiRGaNHTsWY8eOtfk6uVyOrl27Wjy/cuVKpKSkGLaZyc7OxrZt27Bu3TrMmzev1fuXlpbis88+w/bt27Fr1y4UFBTg9ttvNyqzdOlSvPDCCybXrlq1CnPmzGnx/lqtFjt37kROTg4++eQTFBQUIC4uzqTcjh07jF7n5OQgNDQUhYWFGDFihNl7W1N3R58PuZYzpvh71fR+Lxt3BDg2pd+mfdX+9qcW7ztzxXAoAhr3KWNrkXdjomQHewdzt7a2hitJ1Oo2+Yd67tw5hIeHQ6VSITExEcuWLUOPHj0AAA0NDSgsLMT8+fMN5aVSKUaPHo0DBw6YvZ9Op0NBQQG2b9+O7du3o6ioCLGxsRg/fjzmzJmDPn36mFwze/ZszJw50/A6IyMDubm5mDx5ssW4jx8/jpycHLzzzjvQaDSYMmUKdu/ebTZJMqeyshIA0LlzZ7Pnram7Pc+H3McvNqb1snFHN7N2Sv/N3WqA+fFH1s5UC4+O4XgjH8JEyQ72DuYWtbU4O2iwCyOzLPpoISSBrv3wSkhIQE5ODqKjo1FWVobFixfjjjvuwIkTJxAUFIRLly5Bp9OZ7MUXFhZmMo4JANavX4+5c+eiuroao0aNwhNPPIHx48cjKiqqxTiCgoIQFBQEAFi4cCFyc3ORn5+PiAjjQZaXL1/G22+/jQ0bNuDkyZMYN24cXn/9ddx7771QKpXmbm2WXq/HnDlz8Lvf/Q59+/Y1W8aautv6fMg+ztpGxGun+FvblQYYd6d5yHpHrpjS33Tfpm613/z3v9iWU4KKH6qbFbixAOTN449unq3GmWq+xQv/lZOnat5V179/fyQkJCAqKgoffPABHn/8cZvv16lTJ0REROD48eMoLy9HWVkZSktLERkZCam09UXXMjIy8NZbbyE/Px89e/Y0Ob9mzRpDMldcXIzIyEibYwQaE+cTJ05g3759dl1Pbccvxxg150hXmhvHHTWxd0p/07VWT+tPf7Llm900/oitR76NiVIbkqjViD5a6Lb3bmsdO3ZEnz59UFxcDAAICQmBTCZDRUWFUbmKigqz45omTpyIiRMn4ueffzZ0va1evRoKhQJJSUkYN24cHnzwQQQEBJhcu2jRImzcuNFikgQAqampkMvl2LhxI2JjY/HAAw9g+vTpGDlypFWJGNC4KfOnn36KvXv3mrRYNWdN3W19PmQ7v99GxJ6uNMBjutPsmdIPtL63mi3T+psvAAlw/JE/YKLUhiQSicu7vzzJ9evXcf78eUyfPh0AoFQqMXjwYOTl5RmWGtDr9cjLy8OsWbMs3qd79+5ISUlBSkoKGhoasHfvXmzfvh1LlixBfHy8yZT8RYsWYcOGDS0mSQAQHh6OBQsWYMGCBfjyyy+xYcMGTJo0CUFBQXjkkUcwffp0xMbGmr1WCIHZs2dj8+bNyM/PR69evVp8FtbU3d7nQ/bx+21ErO1KA9pk+xBXTekHGoc92Dutn91qxESJzLp+/bqhJQgASkpKUFRUhM6dO6NHjx547bXXsHnzZuTl5RnKzJ07FxMmTEBUVBRKS0uxaNEiyGQyTJs2zVAmPT0dycnJGDJkCIYOHYrMzExUV1cbZnk1d/HiRVy+fNnkeEREBFJTU5GammqSoCxZsgRr167F1q1boVKpUF5eDqCxG89cy1OTYcOGYdiwYVi9ejW2bNmCnJwcvPLKKzh27Bj69etnUj4tLQ3vvvsuPv74YwQFBRneJzg4GOpfW+9ufkbW1N2W50OO8doxRs7iAV1pTRyZ0m/t/e2d1s9uNfLjTwn7+cMWJkeOHMFdd91leJ2eng4ASE5ORk5ODi5duoTz588bXfPTTz9h2rRpuHz5Mrp06YLhw4fj4MGD6NKli6HMlClTcPHiRWRkZKC8vBwDBgzAjh07TAYwA8Crr76K5cuXtxjn6dOnDcsDCCGwYsUKVFVVITEx0ajcoUOHEB8f32q9VSoVpk6diqlTp6K0tNTsGkoAsHbtWgDAyJEjjY6vX78ejz76KACYPCNr6m7L8yHyFfZO6W9i0/gjTusnG0mEEMLdQXirpllvlZWV6NChg9G5uro6lJSUoFevXlCpVG6KkHwdf85sU9OgRUzGTgDAqZeSfKdFyZZFIV/p3fj986Ue06JUo6lBwrsJAGyb0g9YN/4oz8rxR+HRMZi6eDmTI3dqqAaWhjd+78Kf0ZZ+f9/MRz4liIj8lBcsCunKKf0NV6/g2ldFgFQCAeCr/rNRGdxsU1pO6ycHMVEiIq/D/daa8fBFIR2Z0t90vdltRYTApqUZKCs+C/RrnhhtA65auBnHH5EdmCgRkVfx+7WQWuIhi0I2Z++UfsC0W605rVRyY9yRFTitn+zFRImIvIrf7bdmizaeyebKKf2A8bR+wzE0jkHSNSs38tTPaNe3H7quXoO3Fx4EwG41ch4mSkTktXx6vzVbBmi7gaun9N/stv37IFGpsGXNSZR/d91o7aMDw/7e2KWWUWjoWlMEqKAI8MFkmNocEyUi8lo+uxaSFwzQduWU/qbzDZWVhvWPdFIJdDqgrOTX1sTmax/dpNtvgiFXWre6PlFrfPATxvX8YR0lInIjDx+gfTNHp/TfTAA42DscV9qpDQO1c5+aYfHezdc+Ajj+iJyLiZId0tLSkJaWZliHgYjIZTxwgPbNbO1SMzf2CLgx/kgrkTQmSVYIj47h7DVyKSZKRERtxZ5xRx601Ygr3LZ/H6RqNYQQZscf3bz2UZOmwdocpE2uxkSJiNzC79ZC8oJxR83ZskikI6RqNaSBgdDU61D+3XXTAs3WPmrCNZCoLTFRIrOWLVuGjz76CGfOnIFarcawYcOwfPlyREdHt3hdVlYWVqxYgfLycsTFxWHNmjUYOnSozWU8nT3P58UXX8TixYuNjkVHR+PMmTNGx3zh+bTGL9dC8qJxR44uEmnN/ZsGaWvq6yCVSqFp0DW2JAGYunAgNjzbWPbm8UcAxyBR22KiRGbt2bMHaWlpiI+Ph1arxfPPP48xY8bg1KlTaNfOfDfApk2bkJ6ejuzsbCQkJCAzMxNJSUk4e/YsQkNDrS5jLY2m8UNVoTBtlneGK1euQKFQmN0Y157nAwCxsbHYtWuX4bVcbvxP0JnPx5P5/VpIHj7uyJFFIgHbNqk1N0i7KUkCAIVSxmn+5FZMlMisHTt2GL3OyclBaGgoCgsLMWLECLPXrFy5EikpKXjssccAANnZ2di2bRvWrVuHefPmWV2mJaWlpfjss8+wfft27Nq1CwUFBbj99tuNyixduhQvvPCCybWrVq3CnDlzWry/VqvFzp07kZOTg08++QQFBQWIi4szKWfP8wEaE6OuXbtaPO/o8/FGPr0WkiVeNO7I5kUiW5nRZsuK2uHRMZAHBNgWMJGTMVFqQ0IIaBv0bnlvR5uqKysrAQCdO3c2e76hoQGFhYWYP3++4ZhUKsXo0aNx4MABq8vcTKfToaCgANu3b8f27dtRVFSE2NhYjB8/HnPmzEGfPn1Mrpk9ezZmzpxpeJ2RkYHc3FxMnjzZYv2OHz+OnJwcvPPOO9BoNJgyZQp2795tNkkyp7Xn0+TcuXMIDw+HSqVCYmIili1bhh49egCw7/n4Ap9dC8lHOHtGW/MVte+RdkLP7LWQSCTQ1Ovw1oLGn3MO1CZPwk+nNqRt0ONfT+9xy3unrr7T7uZrvV6POXPm4He/+x369u1rtsylS5eg0+kQFhZmdDwsLMwwBseaMs2tX78ec+fORXV1NUaNGoUnnngC48ePR1RUVIvxBgUFISgoCACwcOFC5ObmIj8/HxEREUblLl++jLfffhsbNmzAyZMnMW7cOLz++uu49957oVQqW34ozVjzfAAgISEBOTk5iI6ORllZGRYvXow77rgDJ06cQFBQkM3Ph8hebTVQu7UZbbs7/BGSvx0ylOeq2uSJmCjZwd8WnExLS8OJEyewb9++Nn3fTp06ISIiAsePH0d5eTnKyspQWlqKyMhISKWtr7qbkZGBt956C/n5+ejZs6fJ+TVr1hiSleLiYkRGRtoVp7XPZ+zYsYbv+/fvj4SEBERFReGDDz7A448/btd7k5tZO90fcNtWIzdz9UDt5lqd0WYGV9UmT8NEyQ72LjgpV0qRuvpOF0bW8nvbY9asWfj000+xd+9ekxaZ5kJCQiCTyVBRUWF0vKKiwjAmx5oyzU2cOBETJ07Ezz//bOh6W716NRQKBZKSkjBu3Dg8+OCDCDAzhmHRokXYuHGjxSQJAFJTUyGXy7Fx40bExsbigQcewPTp0zFy5EirEjHA+udjTseOHdGnTx8UFxcDsP35kJt52XT/Jo4O1G4NZ7SRr2Gi1IYkEonXNCcLITB79mxs3rwZ+fn56NWrV4vllUolBg8ejLy8PEycOBFAY5dUXl4eZs2aZXUZc7p3746UlBSkpKSgoaEBe/fuxfbt27FkyRLEx8ebTMlftGgRNmzY0GKSBADh4eFYsGABFixYgC+//BIbNmzApEmTEBQUhEceeQTTp09HbGysU56POdevX8f58+cxffp0APY/H3ITe6b7A27dauRmtg7UBjijjfwPEyUyKy0tDe+++y4+/vhjBAUFoby8HAAQHBwMtVqN1157DZs3b0ZeXp7hmvT0dCQnJ2PIkCEYOnQoMjMzUV1dbZjBZW2ZJhcvXsTly5dNjkdERCA1NRWpqakmCcqSJUuwdu1abN26FSqVyhB3p06dzLY8NRk2bBiGDRuG1atXY8uWLcjJycErr7yCY8eOoV+/fjY/HwAmz2ju3LmYMGECoqKiUFpaikWLFkEmk2HatGl2PR93s3fBSMCLF420xNrp/oBbtxq5mc0DtTmjjfwQEyUya+3atQCAkSNHGh1fv349Hn30UVy6dAnnz583OjdlyhRcvHgRGRkZKC8vx4ABA7Bjxw6jwcnWlGny6quvYvny5S3Gefr0acPyAEIIrFixAlVVVUhMTDQqd+jQIcTHx7dab5VKhalTp2Lq1KkoLS01u4YS0PrzAWDyjH766SdMmzYNly9fRpcuXTB8+HAcPHgQXbp0MZSx5fm4k18uGNkSL5ru7wjOaCN/JBFCCHcH4a2axihVVlaiQ4cORufq6upQUlKCXr16QaVSWbgDkWPc9XNW06BFTMZOh+8zJKoTPnwq0Tt/YTZUA0vDG79/vtQjEqXWZrMBjWOURn4wEgBQ8HCBTS1K+poanB00GIDlGW31TXu0dZxtsvUI4NgMXPIDbfTvqqXf3zdjixIROcTeBSMBL1800sO0xbYjmvo6w0BtnVQC8etA7bKSX1sWfx2wbQlntJE3YqJERA7hgpGewZbZbIBtM9qEEHg/4zmUfnMaaGGgdnOc0Ua+gp9uRETNWbs2koesi2ROa7PZAPMz2izR1tc3JklWCo+OgTookEkR+QQmSkRETbx0baSb2TqbrYmlqf/6+jrD96NOfgeZXo8++/dBqg6EpkGHdX9tXGyVA7XJFzFRIiJqYs/aSB60LpIjLE39FwAaZAFA318XVBVySCAAKACJAoCUW4+QT2OiROTH7F0LyefWQTLH2rWRPGhdJEeYm/ovABwdmI6rHXoY9mfbN3w5JBIF9sw/7IYoidoeEyUiP8W1kFrhJ2sjmdM09V9Tr8Pu+Ydbnc0GcEYb+S4mSkR+qlajczhJGhLVCWoFu1p8TdNmtlKZacuhudlsAGe0ke9iomSHrKwsZGVlQafzg+4H8gv2roXEdZB8w81rJJlsZtusRYn7s5G/YaJkh7S0NKSlpRlW9iTydlwLyfO1tup2aytyt3RfW9dIIvIn7FAms5YtW4b4+HgEBQUhNDQUEydOxNmzZ1u85sUXX4REIjH6atqHrbmsrCz07NkTKpUKCQkJOHTokKuq4TJr165F//790aFDB3To0AGJiYn47LPPWr3Omrr7wvMh52padTvh3QSLX03bktjKljWSuJEt+SP+CUlm7dmzB2lpaYiPj4dWq8Xzzz+PMWPG4NSpU2jXzvIA19jYWOzatcvwWi43/hHbtGkT0tPTkZ2djYSEBGRmZiIpKQlnz55FaGioTTFqNI3dAQqF6X5SznDlyhUoFAqzG+NGRETg73//O2677TYIIbBhwwbcd999OHbsGGJjY83ez5q6O/P5UDNevoikLatuW1px2xlrJHERSfJHTJTIrB07dhi9zsnJQWhoKAoLCzFixAiL18nlcnTt2tXi+ZUrVyIlJQWPPfYYACA7Oxvbtm3DunXrMG/evFbjKi0txWeffYbt27dj165dKCgoMGm1Wrp0KV544QWTa1etWoU5c+a0eH+tVoudO3ciJycHn3zyCQoKChAXF2dSbsKECUav//d//xdr167FwYMHLSZK1tTd0edDZvjIIpJNWlt129yK285aI4lJEvkjJkptSAgBbX29W97b0ZVyKysrAQCdO3dusdy5c+cQHh4OlUqFxMRELFu2DD169AAANDQ0oLCwEPPnzzeUl0qlGD16NA4cOGD2fjqdDgUFBdi+fTu2b9+OoqIixMbGYvz48ZgzZw769Oljcs3s2bMxc+ZMw+uMjAzk5uZi8uTJFuM+fvw4cnJy8M4770Cj0WDKlCnYvXu32STJXIwffvghqqurkZiYaLaMNXW35/mQFXxsEUl7Vt3mGknkNRSBwPOlN773AEyU2pC2vh7/l2z5l7Ur/WXDf6BQmU7ptYZer8ecOXPwu9/9Dn379rVYLiEhATk5OYiOjkZZWRkWL16MO+64AydOnEBQUBAuXboEnU6HsLAwo+vCwsJw5swZk/utX78ec+fORXV1NUaNGoUnnngC48ePR1RUVIvxBgUFISgoCACwcOFC5ObmIj8/HxEREUblLl++jLfffhsbNmzAyZMnMW7cOLz++uu49957oVQqW30ux48fR2JiIurq6tC+fXts3rwZMTExZstaU3dbnw/Zwc8WkTSHaySRR5NIPG79MiZK1Kq0tDScOHEC+/bta7Hc2LFjDd/3798fCQkJiIqKwgcffIDHH3/c5vft1KkTIiIicPz4cZSXl6OsrAylpaWIjIyEVNr6h3ZGRgbeeust5Ofno2fPnibn16xZY0jmiouLERkZaVN80dHRKCoqQmVlJf7zn/8gOTkZe/bssZgskQfw40Ukm3CNJCLbMFFqQ/KAAPxlw3/c9t72mDVrFj799FPs3bvXpEWmNR07dkSfPn1QXFwMAAgJCYFMJkNFRYVRuYqKCrPjmiZOnIiJEyfi559/NnS9rV69GgqFAklJSRg3bhwefPBBBJip26JFi7Bx40aLSRIApKamQi6XY+PGjYiNjcUDDzyA6dOnY+TIkVYlYkqlEr179wYADB48GIcPH8bq1avxz3/+06SsNXW39fkQWYNrJBE5hm2pbUgikUChUrnly9a/BoUQmDVrFjZv3ozPP/8cvXr1srm+169fx/nz59GtWzcAjYnF4MGDkZeXZyij1+uRl5dncWwPAHTv3h0pKSnYvHkzLl26hE2bNqFr165YsmQJvvvuO5PyixYtwoYNG1pMkgAgPDwcCxYswDfffIMdO3ZAqVRi0qRJiIqKwrx583Dy5Emb6qvX61FvYQyaNXW39/kQWdK0RtJrT81Abr9bkdvvVrz21Az8X/JkrE2Zgvqra1Bfme3uMIk8GluUyKy0tDS8++67+PjjjxEUFITy8nIAQHBwMNRqNV577TVs3rzZ6Jf63LlzMWHCBERFRaG0tBSLFi2CTCbDtGnTDGXS09ORnJyMIUOGYOjQocjMzER1dbVhlldzFy9exOXLl02OR0REIDU1FampqSYJ3JIlS7B27Vps3boVKpXKEHenTp3Mtjw1GTZsGIYNG4bVq1djy5YtyMnJwSuvvIJjx46hX79+JuXnz5+PsWPHokePHrh27Rreffdd5OfnY+fOnYYyNz8ja+puy/Mh39DaQpKA/YtJco0kIscxUSKz1q5dCwAYOXKk0fH169fj0UcfxaVLl3D+/Hmjcz/99BOmTZuGy5cvo0uXLhg+fDgOHjyILl26GMpMmTIFFy9eREZGBsrLyzFgwADs2LHDZAAzALz66qtYvnx5i3GePn3asDyAEAIrVqxAVVWVSQvMoUOHEB8f32q9VSoVpk6diqlTp6K0tNTsGkoAcOHCBcyYMQNlZWUIDg5G//79sXPnTvz+9783lLn5GVlTd1ueD3m/poUkrV0jyRFcI4nIPhIhhHB3EN6qaQuTyspKdOjQwehcXV0dSkpK0KtXL6jsnG1G1BpHfs5qGrSIyWhsATv1UpLvbmHSUA0sDW/8/vlSjxrMXaOpQcK7CVaXHxg6EBvu2WB1QqOpqzPMtB1z/FvI9QLRRwshDQyEpl6Hfz29BwCQuvpOjk0iv9LS7++b2fXJuHXrVpuv+f3vfw+12vIiaURE/qy1hSQB84tJAuZX3RZCoP7ajZXGdRIlJFIBTb0OUpkOmnpu6k1kDbsSpYkTJ9pUXiKR4Ny5c7j11lvteTsiskAIAb0QqG3QQi/V2nRtTQN/UXoSexaSBMyvum20mOSvuJgkkX3sbmsvLy+3eu+ppsX/iMh5hBD44ZcalF6tQ+rmffj5GhMff2Ru1W29VInK4N9wMUkiJ7ArUUpOTrapG+2Pf/xjq32ARGQbvQDqNI4nR0OiOkGt4PgUX9B81e2bW44eXTwIyo6dTLruuJgkUcvsSpTWr19vU/mmGVSe5urVqxg9ejS0Wi20Wi2efvpppKSkuDssIpv956lhCA6yb18ktULmfb8ohWjcw80aDVaW8wEtrbod0DEICpWPDtgnciGn/aspKChAQoL1szc8QVBQEPbu3YvAwEBUV1ejb9++mDRpEm655RanvQcnFVJbUCllvjtr7WZCAOuSbN/o1gfZsuo2EdnHaZ+sDz74IH744Qdn3a5NyGQyBAY2/hVeX1/fOHPESYmNQqEAANTU1HC2H7mM0Gmh0+shk/lR15mmxr4kKfK3HrMbuTM0rbpd+s1poF/jRJncp2a4OSoi32NTovTQQw+ZPS6EwC+//OKUgJrbu3cvVqxYgcLCQpSVlWHz5s0mM+6ysrKwYsUKlJeXIy4uDmvWrMHQoUOtfo+rV6/izjvvxLlz57BixQqEhIQ4JXaZTIaOHTviwoULAIDAQC7mRs6l0epQW3UFX5fX4Q5/SpSam1vcuNGtNRSBjTuT+wiuuk3UNmxKlHbt2oW33nrLZLViIQT27t3r1MAAoLq6GnFxcZg5cyYmTZpkcn7Tpk1IT09HdnY2EhISkJmZiaSkJJw9e9YwI2/AgAHQak2nTefm5iI8PBwdO3bEV199hYqKCkyaNAmTJ0922irITRuZNiVLRM6kFwI/Xr6O909cw6w/+E4CYBNloEctIOkuXHWbyHVsSpRGjhyJoKAgjBgxwuRc//79nRZUk7Fjx2Ls2LEWz69cuRIpKSmGfbCys7Oxbds2rFu3DvPmzQMAFBUVWfVeYWFhiIuLwxdffIHJkyebLVNfX2+06WlVVVWL95RIJOjWrRtCQ0Oh0XCsADlXnUaH+97Kh5bD4PyeTK+HXC+gCFBBqlIBEh0kksbuf0WA7ZtiE9ENNiVKH330kcVz//3vfx0OxhYNDQ0oLCzE/PnzDcekUilGjx6NAwcOWHWPiooKBAYGIigoCJWVldi7dy/+9Kc/WSy/bNkyLF682OZYZTKZf40hoTahl2qZJHm41ja8tXezWyJqOw4N5i4vLzd0L7W1S5cuQafTmXSThYWF4cyZM1bd4/vvv0dqaqphEPfs2bPN7hTfZP78+UhPTze8rqqqQmRkpH0VICKf5uoNb5tPPOH2JESu41CiNGbMGHz99dfOiqXNDR061OquOQAICAhAAAdEEpEVarW1VidJA0MHtrrPW3NCCHyceePe3J6EyHUcSpTcuUZQSEgIZDIZKioqjI5XVFS4vJUrKysLWVlZ0On4VxsRta61DW8tbXYLmN/wVlOvQ8V3LY+RBLg9CZEzOJQouXOAoFKpxODBg5GXl2dYMkCv1yMvLw+zZs1y6XunpaUhLS0NVVVVCA4Odul7EZH3c+aGtwCgkyqBO/5heD18398gF6JxC5PAG+/D7UmIHOfRS/lev34dxcXFhtclJSUoKipC586d0aNHD6SnpyM5ORlDhgzB0KFDkZmZierqasMsOCIib2Zuw1tzZKIB7QcMhLJjeyZGRE7m0YnSkSNHcNdddxleNw2kTk5ORk5ODqZMmYKLFy8iIyMD5eXlGDBgAHbs2OG0dZCI2oIQArV2bG5b08CuX3/StOEt0Nj1lj/vS8O5Pvv3md3wlogc51Ci5Oop7yNHjmx1HNSsWbNc3tV2M45RImcRQmBy9gEUfn/F3aGQh2va8BaAyaa3UjUXlCRyFYdG+R2zoknYF6WlpeHUqVM4fJgzTMgxtRqdw0nSkKhOUCu4TpcvEUJAU1dn2PBWK5VAU1/XeOzX49zwlqhteHTXG5E/ObJgNAKVtic8aoWMrQk+xGizW4Ab3hK5mcOJUvMFGJuTSCRQqVTo3bs37rvvPnTu3NnRtyLyaYFKGQKV/NvF39my2S0AdLvtf7jhLZELOfypfOzYMRw9ehQ6nQ7R0dEAgG+++QYymQy33347Xn/9dTz77LPYt28fYmJiHA7YE3CMEpELCAFoalov12BFGR/x5Oo3UHL3KAAwbHgLwGjT28kLRrFFkciFHE6UmlqL1q9fjw4dOgAAKisr8cQTT2D48OFISUnBww8/jGeeeQY7d+50OGBPwHWUiJxMCGBdEvBjgbsj8SiKgADI9eLX73/d8BYw2vSWSRKRazm8ZOuKFSvw8ssvG5IkAAgODsaLL76If/zjHwgMDERGRgYKCwsdfSsi8lWaGtuTpMjfAnYs4khEZAuHW5QqKytx4cIFk261ixcvoqqqcYn9jh07oqGhwdG3IiJ/MLcYUFqRACkCAbamEJGLOaXrbebMmXj11VcRHx8PADh8+DDmzp1r2Frk0KFD6NOnj6NvRUT+QBkIKNu5OwoiIgBOSJT++c9/4plnnsHUqVOh1WobbyqXIzk5GatWrQIA3H777XjzzTcdfSsiIo8ghECttrbFMq2dN7fZLQDo6+sM39dXVjfu64bG1bibFprU1HMiCVFbcThRat++Pd544w2sWrUK3377LQDg1ltvRfv27Q1lBgwY4OjbeBTOeiPyX0IIzPhsBoouFjl0D3Ob3QKARioxrJ20cdkpSEY0/sG5Zz4XuCVyB6ct2tK+fXv079/fWbfzaJz1RuS/arW1NiVJA0MHQi1XGx1rabNbvURp9b27/SYYcqXDc3KIqAVOS5ROnTqFH374wWTQ9h/+8AdnvQURkUfJfyjfJAm6mVqubnEKf/PNbgGgpqoaeU8/BgB45IUBCAwKhERt/h5ypZTLAxC5mMOJ0rfffov7778fx48fh0QiMWxi2/SPl91TROSr1HI1Ah1coqD5ZrcAINXe2Ag8oGN7BHTgwHYid3K4zfbpp59Gr169cOHCBQQGBuLkyZPYu3cvhgwZgvz8fCeESEREROQeDrcoHThwAJ9//jlCQkIglUohlUoxfPhwLFu2DH/5y19wzEI/PBEREZGnc7hFSafTISgoCAAQEhKC0tJSAEBUVBTOnj3r6O09UlZWFmJiYgzrRhERWUsIAU19HbRSCbRSCTT1ddDUNftqtjwAEbmfwy1Kffv2xVdffYVevXohISEB//jHP6BUKvGvf/0Lt956qzNi9Dic9UZE9hBC4P2M51D6zWnDEgC5T81wc1RE1BKHE6UFCxaguroaAPDSSy/h3nvvxR133IFbbrkFmzZtcjhAIiJfoa2vb0ySrCCRhUOuDHBxRETUGocTpaSkJMP3vXv3xpkzZ/DLL7+gU6dOnLZK5O+EaNzwtjUNVpTxMaNOfgeZXo8++/dBqr4x603ToMO6v+4DIOdnKJEHcMo6SnV1dfj6669x4cIF6PV6o3NcR4nITwkBrEsCfixwdyQeSabXQ64XUASoIFWpbpyQ6CCRKNwXGBEZcThR2rFjB6ZPn47Lly+bnJNIJFxHichfaWpsT5Iifws4uC4REZEzOZwozZ49Gw899BAyMjIQFhbmjJiIvI4QArUa2/8oqGnwkz8k5hYDSisSIEUgwO4mIvIgDidKFRUVSE9P96skiZviUnNCCEzOPoDC76+4OxTPpQwElFxhmoi8j8PrKE2ePNnvVuBOS0vDqVOncPgwd/MmoFajczhJGhLVCWqFzEkRkTfQSZTQSZXQ1OtMvojIczjcovTaa6/hwQcfxBdffIF+/fpBoTAehPiXv/zF0bcg8hpHFoxGoNL2hEetkHGGk4cQQqBWW2vxfEvnrLl3k33Dl0MiUWDPfP7BReTJHE6U3nvvPeTm5kKlUiE/P9/ow14ikTBRIr8SqJQhUOmUyaTkBkIIzPhsBoouFrnk/lqNvvVCv+r2m2DIlQ43+hORgxz+RH/hhRewePFizJs3D1Ip/1ETkfeq1dZanSQNDB0ItVxt9pwQAqLWtOVJX3NjvahhBxZAqW3Abfv3QRpoOtBdrpSylZHIAzicKDU0NGDKlClMkojIp+Q/lG8xEQIAtVxtNpERQuD7hx9BrZkNwetlAUDfCACAVKeBTN8ARYAM0gCOTyPyVA5nN8nJydyqhIh8jlquRqAi0OKXpdYeUVtrNkky+x6DBkGitpyMEZH7OdyipNPp8I9//AM7d+5E//79TQZzr1y50tG3ICLySrft3wdps0SopqoaeU8/BgDonfdftAsLYfcakYdzOFE6fvw4Bg4cCAA4ceKE0Tl+ABCRP5Oq1Ubjj6TaG7PepIGWW6WIyHM4nCjt3r3bGXEQEREReRyOwLZDVlYWYmJiEB8f7+5QiIiIyIWYKNmBK3MTERH5B66MR0TkJEIIaOrroJU2jj3S1NcZLZ2iqa9zV2hEZCebE6UrV65ACIHOnTvj4sWL+OKLLxAdHY3Y2FhXxEdE5BWEEHg/4zmUfnMa6HcrACD3qRlujoqIHGVT19ubb76JwYMHY8iQIVi7di3uv/9+5OXlYerUqXjzzTddFSMRkcfT1tc3JklWkMjCIVcGuDgiInIGm1qU/u///g8nT55EbW0tevTogZKSEnTp0gWVlZW488478cQTT7gqTiIirzHq5HeQ6fXos38fpOobywNoGnRY99d9AORcGoDIS9iUKMnlcqjVaqjVavTu3RtdunQBAAQHB/MfPRHRr2R6PeR6AUWAClKV6sYJiQ4SicLyhUTkcWzqepPJZKiraxyMuGfPHsPx69evOzcqIiIiIg9gU6K0a9cuBAQ09qsHBwcbjtfU1OBf//qXcyMjIiIicjObut6aJ0cAUF5ejq5duyI0NBShoaFODYyIiIjI3RxacHLMmDHOioOIyGfoJEropEpo6nUmX0TkXRxacFII0XohIi8ghECtxr5fYjUN/OVHxp+H+4Yvh0SiwJ75XL2fyNs5lChxphv5AiEEJmcfQOH3V9wdCnkxrUZvddluvwmGXMkdpIi8AbcwsUNWVhaysrKg07ElwRfUanROSZKGRHWCWiFzQkTk7YYdWACltgG37d8HaWCgyXm5Uso/NIm8BBMlO6SlpSEtLQ1VVVUmA9zJux1ZMBqBSvuSHbVCxl9+BACQ6jSQ6RugCJBBGsDkmcibOZQoyWT8ACDfEqiUIVDJvx+IiKiRQ78Rjh075qw4iMhbCAFoalov12BFGSIiD8c/nYnIekIA65KAHwvcHQkRUZtweNrFsmXLsG7dOpPj69atw/Llyx29PRF5Ek2N7UlS5G8BhemAZm8lhIC+psbsFxH5HodblP75z3/i3XffNTkeGxuLqVOn4m9/+5ujb0FkFXvXQuI6SHaaWwworUiAFIGAjwxyF0Lg+4cfQa2ZYQf1sgCgb4QboiIiV3I4USovL0e3bt1Mjnfp0gVlZWWO3p7IKlwLyQ2UgYCynbujaFOittZskmSOetAgSNRqF0dERK7mcKIUGRmJ/fv3o1evXkbH9+/fj/DwcEdvT2QVZ6yFxHWQyBa37d8HabNEqKaqGnlPPwYA6J33X7QLC+FyEUQ+wOFEKSUlBXPmzIFGo8Hdd98NAMjLy8Nzzz2HZ5991uEAiWxl71pIXAfJtwkhUKutbbFMa+ebk6rVRotJSrU3tjCRBgbyZ4nIRzicKP31r3/F5cuX8ec//xkNDQ0AAJVKhb/97W+YP3++wwES2YprIdHNhBCY8dkMFF0scncoRORlHP5tIpFIsHz5cixcuBCnT5+GWq3GbbfdhoCAAGfER0TksFptrU1J0sDQgVDLOb6IiJy4jlL79u0xZMgQANwsl4g8V/5D+a0mQWq5mp9jRATACesoAcC///1v9O3bFyqVCiqVCn379sWbb77pjFsTETmVWq5GoCKwxS8mSUTUxOEWpYyMDKxcuRKzZ89GYmIiAODAgQN45pln8MMPP+Cll15yOEgiIiIid3A4UVq7di3eeOMNTJs2zXDsD3/4A/r374/Zs2czUSIinyCEgKa+DlppY2uTpr4OUumNRnlNfZ27QiMiF3I4UdJoNIaxSc0NHjwYWq3W0dsTEbmdEALvZzyH0m9OA/1uBQDkPjXDzVERUVtweIzS9OnTsXbtWpPj//rXv/DII484evs2UVNTg6ioKMydO9fdoRCRB9LW1zcmSVaQyMIhV3LWL5GvcMqst3//+9/Izc3Fb3/7WwBAQUEBfvjhB8yYMQPp6emGcitXrnTG2znd//7v/xpiJyJqyaiT30Gm16PP/n2Qqm8sOKlp0GHdX/cBkHMwOJEPcThROnHiBAYNGgQAOH/+PAAgJCQEISEhOHHihKGcp35wnDt3DmfOnMGECROM4iUiMkvIIYEAoAAkimYnpJAYvSYiX+BworR7925nxGHW3r17sWLFChQWFqKsrAybN2/GxIkTjcpkZWVhxYoVKC8vR1xcHNasWYOhQ4da/R5z587FihUr8OWXXzo5eiLyFULc2J5k3/DlkEgU2DP/sBsjIqK24pR1lFyluroacXFxyMrKMnt+06ZNSE9Px6JFi3D06FHExcUhKSkJFy5cMJQZMGAA+vbta/JVWlqKjz/+GH369EGfPn3aqkpE5IW0Gr3VZbv9JhhypUd/tBKRDexuUZo5c6ZV5datW2fvW2Ds2LEYO3asxfMrV65ESkoKHnusccfu7OxsbNu2DevWrcO8efMAAEVFRRavP3jwIN5//318+OGHuH79OjQaDTp06ICMjAyz5evr61FfX294XVVVZUetiMibDTuwAEptA27bv89oU9wmcqXUY4caEJHt7E6UcnJyEBUVhYEDBxo1S7eVhoYGFBYWGm28K5VKMXr0aBw4cMCqeyxbtgzLli0D0FifEydOWEySmsovXrzYscCJyKtJdRrI9A1QBMggDZC5OxwicjG7E6U//elPeO+991BSUoLHHnsMf/zjH9G5c2dnxtaiS5cuQafTISwszOh4WFgYzpw545L3nD9/vtEsvqqqKkRGRrrkvYjajBCApsa6sg1WliMi8hF2J0pZWVlYuXIlPvroI6xbtw7z58/H+PHj8fjjj2PMmDFe1/T86KOPtlomICAAAQFcH4V8iBDAuiTgxwJ3R0JE5JEcGnEYEBCAadOm4b///S9OnTqF2NhY/PnPf0bPnj1x/fp1Z8VoVkhICGQyGSoqKoyOV1RUoGvXri59byKfoamxL0mK/C2gMB2fQ0Tka5yy4CTQOD5IIpFACAGdTues21qkVCoxePBg5OXlGZYM0Ov1yMvLw6xZs1z63llZWcjKymqTehK1mbnFgNLK5EcRCHhZq7E1hBAQtbUmx/U17HIk8lcOJUr19fWGrrd9+/bh3nvvxWuvvYZ77rnHaLNIe12/fh3FxcWG1yUlJSgqKkLnzp3Ro0cPpKenIzk5GUOGDMHQoUORmZmJ6upqwyw4V0lLS0NaWhqqqqoQHBzs0vciajPKQEDZzt1RuI0QAt8//Ahqjx0zOVcvCwD6RrghKiJyN7sTpT//+c94//33ERkZiZkzZ+K9995DSEiIM2PDkSNHcNdddxleNw2kTk5ORk5ODqZMmYKLFy8iIyMD5eXlGDBgAHbs2GEywJuIqDWittZskmSOetAgSNRqF0dERJ7A7kQpOzsbPXr0wK233oo9e/Zgz549Zst99NFHdgc3cuTIVpcemDVrlsu72m7Grjci33bb/n2QNkuEaqqqkfd0Y0t177z/ol1YiNdNWCEi+9idKM2YMcNvPyjY9Ubk26RqtdFiklLtjT/YpIGBfvvZR+SPHFpwksiZhBCo1djXSlfTwNY9IiJyPrsSpa+//hp9+/a1esD2yZMnER0dDbncaZPsyMcIITA5+wAKv7/i7lCIiIgM7JqaNnDgQFy+fNnq8omJifjhhx/seSvyE7UanVOSpCFRnaBWcFsJIiJyDruaeIQQWLhwIQLNbAhpTkNDgz1v47E4mNu1jiwYjUClfcmOWiHj+BEiInIauxKlESNG4OzZs1aXT0xMhNqHptJyMLdrBSplCFSym5aIiNzPrt9G+fn5Tg6DiIiIyPPwz3Yi8npCCNRqTbceadLSOSKiljBRIiKvJoTAjM9moOhikbtDISIf5PiGbL+6evUqrlzxj6ndWVlZiImJQXx8vLtDIfJ7tdpaq5OkgaEDoZb7znhJInI9h1uUDhw4gD//+c/4+uuvAQD9+vXD66+/jmHDhjkcnKfiYG4iz5T/UH6LiZBarjaZFSmEgLa+Hvr6Omiljec09XVG68Rp6utcEzAReTyHEqXvv/8ev//97/E///M/WLZsGSQSCT788EP8/ve/x8mTJ9GzZ08nhUlE1Dq1XI1AhXXLlgCNSdL7Gc+h9JvTjQf63QoAyH1qhivCIyIv5FCitHTpUgwbNgyfffYZZLLGdW+effZZjB8/HkuWLMGbb77plCCJiFxBW19/I0mygkQWDrkywIUREZGnsTtR+uGHH5Cfn4/nnnsOP//8s9G5KVOm4OWXX8aPP/6IyMhIh4MkInK1J1e/gZK7RwEA+uzfB6n6RsuUpkGHdX/dB0DOBU2J/IzdiVLPnj0hkUiQmppq9rwQAj179uTq1UTkFRQBAZDrxa/fqyBVqW6clOggkSjcFBkRuZPdidLRo0cxadIkPPvssxg+fLjRuS+//BLLly/Hxx9/7HCAnohbmBAREfkHu5cHGDBgAEaMGIH8/HzExcUZfe3ZswcjRoxAXFycM2P1GGlpaTh16hQOHz7s7lCIiIjIhRwazP3cc89hwIABuO+++/DHP/4REokE77zzDrZt24Zjx445K0YiIiIit3AoUYqJicH777+Pp556Cp988gkA4JZbbsE777yD2NhYpwRIRERE5C4OLzg5adIkTJgwAcePH4cQAv3794dCwUGPRERE5P2cstebQqHAoEGDnHErIiK30NTroJMqDd9LZTqjc0Tkn7gpLjmVEAK1Gtt/qdQ08BcRuVfOoqOQjFgFANgznxM1iKgREyU7cHkA84QQmJx9AIXf+8fmyOR/uv0mGHKl0/YSJyIvwETJDtwU17xajc7hJGlIVCeoFTInRURkm+H7/waZrgG37d8HaaDpnnFypZQrcxP5GSZK5BJHFoxGoNL2hEetkPEXEbmNTNcAmb4BigAZpAFM2ImIiRK5SKBShkAlf7yIiMi7sbOdiIiIyAImSkREREQWMFEiIiIisoCDSIh8kRCApqb1cg1WlCEi8mNMlIh8jRDAuiTgxwJ3R0JE5PXY9UbkazQ1tidJkb8FFKbrBhER+Tu2KNmBK3OT15hbDCitSIAUgQDXryIiMsFEyQ5cmZu8hjIQULZzdxRERF6LXW9EREREFjBRIiIiIrKAXW9E5BeEEBC1tUbH9PV1boqGiLwFEyUi8nlCCHz/8COoPXbM6LhWKgH63eqmqIjIG7DrjYh8nqitNUmSLFEPGgSJWu3iiIjIW7BFiYj8ym3790H6ayKkqa9D7lMzjM4pO7aHhEslENGvmCgRkccSQqBWW9timdbO30yqVkMa2Li2lFRq3KguDQxkkkRERpgoEZFHEkJgxmczUHSxyN2hEJEfY6JERB6pVltrU5I0MHQg1HLjsUVCCGjr66Gvr2scuI3G7ramliQNZ70RUSuYKBGRx8t/KN8kCbqZWq426jYTQuD9jOdQ+s3pxgO/zm5rPiaJiKg1TJSIyOOp5WoE2rhpr7a+/kaS1AqJLBz8OCQic/jJYAduikvkXZ5c/QZK7h4FAOizfx+k6htJl6ZBh3V/PchB3ERkFtdRskNaWhpOnTqFw4cPuzsUIrKCIiAAcr2AXC+gCFBBoWr2FaBikkREFjFRIiIiIrKAiRIRERGRBUyUiIiIiCzgYG4PJIRArcaxgeJqhYzjLoiIiBzERMkD1Wp0iMnY6dA9hkR1wodPJTJZIiIicgC73nzUke+vONwqRURE5O/YouSB1AoZTr2UZNe1NQ06DFmyy8kRERER+ScmSh5IIpEgUMn/NURERO7GrjciIiIiC9hs4cNqGuwfo8RZc0REREyUfJojY5U4a46IiIhdbz5HrZBhSFQnh+/DWXNERERsUfI5EokEHz6VaHeSw1lzRERENzBR8kGcNUdEROQc7HojIiIisoDNDkTk8zT1OuikSsP3UpnO6BwRkSV+nyj17NkTHTp0gFQqRadOnbB79253h0RETpaz6CgkI1YBAPbMP+zmaIjIm/h9ogQAX375Jdq3b+/uMIjIjbr9JhhyJUcjEJExJkpE5BeG7/8bZLoG3LZ/H6SBgSbn5Uop1w0jIhMe/efT3r17MWHCBISHh0MikWDLli0mZbKystCzZ0+oVCokJCTg0KFDNr2HRCLBnXfeifj4eLzzzjtOipyIPI1M1wCZvgGKAJnZLyZJRGSOR7coVVdXIy4uDjNnzsSkSZNMzm/atAnp6enIzs5GQkICMjMzkZSUhLNnzyI0NBQAMGDAAGi1WpNrc3NzER4ejn379qF79+4oKyvD6NGj0a9fP/Tv399sPPX19aivrze8rqqqclJNiYiIyBN5dKI0duxYjB071uL5lStXIiUlBY899hgAIDs7G9u2bcO6deswb948AEBRUVGL79G9e3cAQLdu3TBu3DgcPXrUYqK0bNkyLF682I6aEBERkTfy6K63ljQ0NKCwsBCjR482HJNKpRg9ejQOHDhg1T2qq6tx7do1AMD169fx+eefIzY21mL5+fPno7Ky0vD1448/OlYJIiIi8mge3aLUkkuXLkGn0yEsLMzoeFhYGM6cOWPVPSoqKnD//fcDAHQ6HVJSUhAfH2+xfEBAAAICAuwPmoiIiLyK1yZKznDrrbfiq6++cncYRERE5KG8tustJCQEMpkMFRUVRscrKirQtWtXl753VlYWYmJiWmx9IiIiIu/ntYmSUqnE4MGDkZeXZzim1+uRl5eHxMREl753WloaTp06hcOHucIvERGRL/Porrfr16+juLjY8LqkpARFRUXo3LkzevTogfT0dCQnJ2PIkCEYOnQoMjMzUV1dbZgFR0REROQIj06Ujhw5grvuusvwOj09HQCQnJyMnJwcTJkyBRcvXkRGRgbKy8sxYMAA7Nixw2SANxEREZE9PDpRGjlyJIQQLZaZNWsWZs2a1UYRNcrKykJWVhZ0Ou46TkRE5Mu8doySO3GMEhERkX9gokRERERkgUd3vRERWUMIAVFba3RMX1/npmiIyJcwUbIDxygRuZ8QAtoGPYQQ+OGxmai7afFYrUQC9I1wU3RE5CuYKNkhLS0NaWlpqKqqQnBwsLvDIfI6QgjUamtbLNPaeW2DHv96ek/ji+BHgRE3v4cGuLrG6Jh60CBI1GpbwyUiP8ZEiYjaXK22FgnvJrTZ+4VFtcf/rPwS0sBASCSSNntfIvJ+TJSIvIEQgKbGurINVpbzEgNDB0ItN20FkiulSF19J/Q1NTj3u+EAgNv274M0MBAAoKmvw9qUxhal+54ZBBlbkojIDkyUiLyBpgZYGu7uKJxGLVej4OECq8uaawWSSCRQBMig18kg0zcAABQBMkgDZI0FhMyoLBGRPZgo2YGDuckrRP4WUAS6OwqzJBIJAj00NiKi5pgo2YGDuanNKQKB50ttv4YtKUREDmGiROQNJBJA2c7dURAR+R2uzE1ERERkARMlIiIiIguYKBERERFZwESJiIiIyAImSnbIyspCTEwM4uPj3R0KERERuRATJTukpaXh1KlTOHz4sLtDISIiIhdiokRERERkAddRIiKvJISAtr4e+vo6aKWNC2tq6usglUoN3xMROYqJEhF5HSEE3s94DqXfnG480O9WAEDuUzPcGBUR+SJ2vRGR19HW199IkloRHh0DeUCAiyMiIl/FFiUi8mpPrn4DJXePAgD02b8PUrXxZrvygABIuOcdEdmJiZIdsrKykJWVBZ1O5+5QiPyeIiAAcr349XsVpCqVmyMiIl/Crjc7cHkAIiIi/8BEiYiIiMgCdr0RkccSQkDU1poc1zeb+q+v5TIAROQ6TJSIyGOJ2lqcHTTY5LhWKjEsCVA8ejQ/yIjIZdj1RkQ+QT1oECRqtbvDICIfwz/EiMhjSdRqRB8tNDmuqa8zLC7ZZ/8+KAJUkKjVXAaAiJyOiRIReSyJRAJJYKDJ8aZtSgBAqg7kkgBE5DLseiMiIiKygImSHbKyshATE4P4+Hh3h0JEREQuxETJDlxwkoiIyD8wUSIiIiKygIkSERERkQVMlIiIiIgsYKJEREREZAETJSIiIiILmCgRERERWcBEiYiIiMgCJkpEREREFjBRIiIiIrKAiRIRERGRBUyUiIiIiCxgokRERERkARMlO2RlZSEmJgbx8fHuDoWIiIhciImSHdLS0nDq1CkcPnzY3aEQERGRCzFRIiIiIrKAiRIRERGRBUyUiIiIiCxgokRERERkgdzdARARNSeEgLa+vsUymvq6NoqGiPwdEyUi8ija+nr8X/Jkd4dBRASAXW9E5MXCo2MgDwhwdxhE5MPYokREHkUeEIC/bPiP1WUlEomLIyIif8ZEiYg8ikQigUKlcncYREQA2PVGREREZBETJSIiIiILmCgRERERWcBEiYiIiMgCJkpEREREFjBRIiIiIrLA7xOlkpIS3HXXXYiJiUG/fv1QXV3t7pCIiIjIQ/j9OkqPPvoolixZgjvuuAO//PILArjKLxEREf3KrxOlkydPQqFQ4I477gAAdO7c2c0RERERkSfx6K63vXv3YsKECQgPD4dEIsGWLVtMymRlZaFnz55QqVRISEjAoUOHrL7/uXPn0L59e0yYMAGDBg3C0qVLnRg9EREReTuPblGqrq5GXFwcZs6ciUmTJpmc37RpE9LT05GdnY2EhARkZmYiKSkJZ8+eRWhoKABgwIAB0Gq1Jtfm5uZCq9Xiiy++QFFREUJDQ3HPPfcgPj4ev//9711eNyIiIvJ8Hp0ojR07FmPHjrV4fuXKlUhJScFjjz0GAMjOzsa2bduwbt06zJs3DwBQVFRk8fru3btjyJAhiIyMBACMGzcORUVFFhOl+vp61NfXG15XVVXZWiUiIiLyIh6dKLWkoaEBhYWFmD9/vuGYVCrF6NGjceDAAavuER8fjwsXLuDKlSsIDg7G3r178eSTT1osv2zZMixevNjkuC8lTDUNOsP3VVXXoFXK2uRaIiKittL0e1sI0WpZr02ULl26BJ1Oh7CwMKPjYWFhOHPmjFX3kMvlWLp0KUaMGAEhBMaMGYN7773XYvn58+cjPT3d8Prnn39GTEyMoUXK13Rb7p5riYiI2sK1a9cQHBzcYhmvTZScpbXuveYCAgKMlg9o3749fvzxRwQFBUEikVj9nlVVVYiMjMSPP/6IDh062ByzN/GXuvpLPQH/qau/1BNgXX2Rv9QTsK+uQghcu3YN4eHhrZb12kQpJCQEMpkMFRUVRscrKirQtWvXNolBKpUiIiLC7us7dOjg8z/ATfylrv5ST8B/6uov9QRYV1/kL/UEbK9ray1JTTx6eYCWKJVKDB48GHl5eYZjer0eeXl5SExMdGNkRERE5Cs8ukXp+vXrKC4uNrwuKSlBUVEROnfujB49eiA9PR3JyckYMmQIhg4diszMTFRXVxtmwRERERE5wqMTpSNHjuCuu+4yvG4aSJ2cnIycnBxMmTIFFy9eREZGBsrLyzFgwADs2LHDZIC3pwkICMCiRYv8YrsUf6mrv9QT8J+6+ks9AdbVF/lLPQHX11UirJkbR0REROSHvHaMEhEREZGrMVEiIiIisoCJEhEREZEFTJSIiIiILGCi5EJ79+7FhAkTEB4eDolEgi1btlgs+9RTT0EikSAzM7PN4nMma+p6+vRp/OEPf0BwcDDatWuH+Ph4/PDDD20frANaq+f169cxa9YsREREQK1WIyYmBtnZ2e4J1gHLli1DfHw8goKCEBoaiokTJ+Ls2bNGZerq6pCWloZbbrkF7du3xwMPPGCyAKw3aK2uv/zyC2bPno3o6Gio1Wr06NEDf/nLX1BZWenGqG1nzf/TJkIIjB07ttXPLU9lbV0PHDiAu+++G+3atUOHDh0wYsQI1NbWuiFi+1hTz/LyckyfPh1du3ZFu3btMGjQIPy///f/3BSx/dauXYv+/fsbFpVMTEzEZ599Zjjvys8jJkouVF1djbi4OGRlZbVYbvPmzTh48KBVS6l7qtbqev78eQwfPhy333478vPz8fXXX2PhwoVQqVRtHKljWqtneno6duzYgbfffhunT5/GnDlzMGvWLGzdurWNI3XMnj17kJaWhoMHD+K///0vNBoNxowZg+rqakOZZ555Bp988gk+/PBD7NmzB6WlpZg0aZIbo7ZPa3UtLS1FaWkpXnnlFZw4cQI5OTnYsWMHHn/8cTdHbhtr/p82yczMtGlbJk9jTV0PHDiAe+65B2PGjMGhQ4dw+PBhzJo1C1Kp9/xatKaeM2bMwNmzZ7F161YcP34ckyZNwkMPPYRjx465MXLbRURE4O9//zsKCwtx5MgR3H333bjvvvtw8uRJAC7+PBLUJgCIzZs3mxz/6aefRPfu3cWJEydEVFSUWLVqVZvH5mzm6jplyhTxxz/+0T0BuYi5esbGxoqXXnrJ6NigQYPECy+80IaROd+FCxcEALFnzx4hhBBXr14VCoVCfPjhh4Yyp0+fFgDEgQMH3BWmU9xcV3M++OADoVQqhUajacPInMtSPY8dOya6d+8uysrKLH5ueRtzdU1ISBALFixwY1TOZ66e7dq1Exs3bjQq17lzZ/HGG2+0dXhO16lTJ/Hmm2+6/PPIe1JnH6TX6zF9+nT89a9/RWxsrLvDcRm9Xo9t27ahT58+SEpKQmhoKBISEryySb81w4YNw9atW/Hzzz9DCIHdu3fjm2++wZgxY9wdmkOaupk6d+4MACgsLIRGo8Ho0aMNZW6//Xb06NEDBw4ccEuMznJzXS2V6dChA+Ryj16zt0Xm6llTU4OHH34YWVlZbbZnZlu4ua4XLlxAQUEBQkNDMWzYMISFheHOO+/Evn373Bmmw8z9Px02bBg2bdqEX375BXq9Hu+//z7q6uowcuRIN0XpOJ1Oh/fffx/V1dVITEx0+ecREyU3Wr58OeRyOf7yl7+4OxSXunDhAq5fv46///3vuOeee5Cbm4v7778fkyZNwp49e9wdnlOtWbMGMTExiIiIgFKpxD333IOsrCyMGDHC3aHZTa/XY86cOfjd736Hvn37Amgc96BUKtGxY0ejsmFhYSgvL3dDlM5hrq43u3TpEl5++WWkpqa2cXTOY6mezzzzDIYNG4b77rvPjdE5l7m6fvvttwCAF198ESkpKdixYwcGDRqEUaNG4dy5c+4M126W/p9+8MEH0Gg0uOWWWxAQEIAnn3wSmzdvRu/evd0YrX2OHz+O9u3bIyAgAE899RQ2b96MmJgYl38eee+fQ16usLAQq1evxtGjR716LIA19Ho9AOC+++7DM888AwAYMGAAvvzyS2RnZ+POO+90Z3hOtWbNGhw8eBBbt25FVFQU9u7di7S0NISHhxv9teNN0tLScOLECa//a9sardW1qqoK48ePR0xMDF588cW2Dc6JzNVz69at+Pzzz71u7EprzNW16TPpySefNOwNOnDgQOTl5WHdunVYtmyZW2J1hKWf3YULF+Lq1avYtWsXQkJCsGXLFjz00EP44osv0K9fPzdFa5/o6GgUFRWhsrIS//nPf5CcnNw2f2w73HlHVsFNff2rVq0SEolEyGQywxcAIZVKRVRUlNvidIab61pfXy/kcrl4+eWXjco999xzYtiwYW0cnfPcXM+amhqhUCjEp59+alTu8ccfF0lJSW0cnXOkpaWJiIgI8e233xodz8vLEwDElStXjI736NFDrFy5sg0jdB5LdW1SVVUlEhMTxahRo0RtbW0bR+c8lur59NNPW/xMuvPOO90TrIMs1fXbb78VAMRbb71ldPyhhx4SDz/8cFuG6BSW6llcXCwAiBMnThgdHzVqlHjyySfbMkSXGDVqlEhNTXX55xG73txk+vTp+Prrr1FUVGT4Cg8Px1//+lfs3LnT3eE5lVKpRHx8vMm01W+++QZRUVFuisr5NBoNNBqNyawZmUxm+AvWWwghMGvWLGzevBmff/45evXqZXR+8ODBUCgUyMvLMxw7e/YsfvjhByQmJrZ1uA5pra5AY0vSmDFjoFQqsXXrVq+brQm0Xs958+aZfCYBwKpVq7B+/Xo3RGy/1uras2dPhIeHe/1nUmv1rKmpAQCf+EwyR6/Xo76+3vWfRw6nWmTRtWvXxLFjx8SxY8cEALFy5Upx7Ngx8f3335st782z3lqr60cffSQUCoX417/+Jc6dOyfWrFkjZDKZ+OKLL9wcuW1aq+edd94pYmNjxe7du8W3334r1q9fL1QqlXj99dfdHLlt/vSnP4ng4GCRn58vysrKDF81NTWGMk899ZTo0aOH+Pzzz8WRI0dEYmKiSExMdGPU9mmtrpWVlSIhIUH069dPFBcXG5XRarVujt561vw/vRm8dNabNXVdtWqV6NChg/jwww/FuXPnxIIFC4RKpRLFxcVujNw2rdWzoaFB9O7dW9xxxx2ioKBAFBcXi1deeUVIJBKxbds2N0dvm3nz5ok9e/aIkpIS8fXXX4t58+YJiUQicnNzhRCu/TxiouRCu3fvFgBMvpKTk82W9+ZEyZq6/vvf/xa9e/cWKpVKxMXFiS1btrgvYDu1Vs+ysjLx6KOPivDwcKFSqUR0dLR49dVXhV6vd2/gNjJXRwBi/fr1hjK1tbXiz3/+s+jUqZMIDAwU999/vygrK3Nf0HZqra6W/p8DECUlJW6N3RbW/D81d403JkrW1nXZsmUiIiJCBAYGisTERK/7w82aen7zzTdi0qRJIjQ0VAQGBor+/fubLBfgDWbOnCmioqKEUqkUXbp0EaNGjTIkSUK49vNIIoQQjrdLEREREfkejlEiIiIisoCJEhEREZEFTJSIiIiILGCiRERERGQBEyUiIiIiC5goEREREVnARImIiIjIAiZKRERERBYwUSIiIiKygIkSERGAO++8ExKJBEuXLjU6LoRAQkICJBIJXnrpJTdFR0TuwkSJiPyeEALHjh1DVFQUjh8/bnRuw4YNKC0tBQAMGjTIHeERkRsxUSIiv3fu3Dlcu3YNycnJRonStWvXMH/+fDz66KMAgMGDB7spQiJyFyZKROT3CgsLERgYiGnTpuHs2bNoaGgAALz88ssYMmQIunTpgq5du6Jbt25ujpSI2hoTJSLye0ePHkX//v0RHR0NlUqFM2fO4Ny5c1i7di1WrlyJo0ePGrrdPv/8c7z66qtujpiI2orc3QEQEblbUyIkkUjQv39/HD9+HO+99x7+9Kc/4bbbbkNhYSHuv/9+AMDdd9+Nu+++280RE1FbYYsSEfm95i1GAwYMQGZmJo4cOYKFCxeirq4OZ86cMZz/wx/+YDLgm4h8FxMlIvJr3377La5evWpIhAYOHIgjR45g2bJlCAoKwldffQWtVmsYyH3mzBncfvvt7gyZiNoQu96IyK8VFhZCqVSib9++AIDk5GRMnDgRt9xyC4DG1qYuXbogMjIS165dg0qlgkKhcGfIRNSGmCgRkV87evQo+vbta0h+FAoFQkJCjM4PHDgQAHDy5EnExsa6JU4icg+JEEK4OwgiIm/wxhtv4OLFi3j++efdHQoRtRGOUSIistLx48cNXXRE5B/YokRERERkAVuUiIiIiCxgokRERERkARMlIiIiIguYKBERERFZwESJiIiIyAImSkREREQWMFEiIiIisoCJEhEREZEFTJSIiIiILGCiRERERGQBEyUiIiIiC5goEREREVnw/wGbuiblOVPz8wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for z_min, z_max in z_slices:\n", " # Redshift grid\n", " z = np.linspace(z_min, z_max, 100)\n", "\n", " # SkyPy simulated galaxies\n", " z_mask = np.logical_and(redshift >= z_min, redshift < z_max)\n", " magnitude_bin = magnitude[z_mask]\n", " bins = np.linspace(min(magnitude_bin), max(magnitude_bin), 30)\n", " dV_dz = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV = np.trapz(dV_dz, z)\n", " dM = (np.max(bins) - np.min(bins)) / (np.size(bins) - 1)\n", " phi_slsim_new = np.histogram(magnitude[z_mask], bins=bins)[0] / dV / dM\n", "\n", " # Plotting\n", " ax.step(\n", " bins[:-1],\n", " phi_slsim_new,\n", " where=\"post\",\n", " label=r\"${:.2f} \\leq z < {:.2f}$\".format(z_min, z_max),\n", " zorder=3,\n", " )\n", " ax.set_xlabel(r\"$M_i$\")\n", " ax.set_ylabel(r\"$\\Phi \\, [\\mathrm{Mpc}^{-3} \\, \\mathrm{mag}^{-1}]$\")\n", " ax.set_yscale(\"log\")\n", " # ax.set_xlim([-14, -24])\n", " # ax.set_ylim([min(magnitude_bin), None])\n", " ax.legend(loc=\"upper left\")\n", " # Invert the x-axis\n", "# plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diffsky galaxy luminosity functions in different \n", "## redshift bins. " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for z_min, z_max in z_slices:\n", " # Redshift grid\n", " z = np.linspace(z_min, z_max, 100)\n", "\n", " # SkyPy simulated galaxies\n", " z_mask4 = np.logical_and(redshift4 >= z_min, redshift4 < z_max)\n", " magnitude_bin4 = magnitude4[z_mask4]\n", " bins4 = np.linspace(min(magnitude_bin4), max(magnitude_bin4), 30)\n", " dV_dz4 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV4 = np.trapz(dV_dz4, z)\n", " dM4 = (np.max(bins4) - np.min(bins4)) / (np.size(bins4) - 1)\n", " phi_diffsky = np.histogram(magnitude4[z_mask4], bins=bins4)[0] / dV4 / dM4\n", "\n", " # Plotting\n", " ax.step(\n", " bins4[:-1],\n", " phi_diffsky,\n", " where=\"post\",\n", " label=r\"${:.2f} \\leq z < {:.2f}$\".format(z_min, z_max),\n", " zorder=3,\n", " )\n", " ax.set_xlabel(r\"$M_i$\")\n", " ax.set_ylabel(r\"$\\Phi \\, [\\mathrm{Mpc}^{-3} \\, \\mathrm{mag}^{-1}]$\")\n", " ax.set_yscale(\"log\")\n", " # ax.set_xlim([-14, -24])\n", " # ax.set_ylim([min(magnitude_bin), None])\n", " ax.legend(loc=\"upper left\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## DC2 galaxy luminosity functions in different \n", "## redshift bins. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "for z_min, z_max in z_slices:\n", " # Redshift grid\n", " z = np.linspace(z_min, z_max, 100)\n", "\n", " # SkyPy simulated galaxies\n", " z_mask3 = np.logical_and(redshift3 >= z_min, redshift3 < z_max)\n", " magnitude_bin3 = magnitude3[z_mask3]\n", " bins3 = np.linspace(min(magnitude_bin3), max(magnitude_bin3), 30)\n", " dV_dz3 = (cosmology.differential_comoving_volume(z) * sky_area).to_value(\"Mpc3\")\n", " dV3 = np.trapz(dV_dz3, z)\n", " dM3 = (np.max(bins3) - np.min(bins3)) / (np.size(bins3) - 1)\n", " phi_dc2 = np.histogram(magnitude3[z_mask3], bins=bins3)[0] / dV3 / dM3\n", "\n", " # Plotting\n", " ax.step(\n", " bins3[:-1],\n", " phi_dc2,\n", " where=\"post\",\n", " label=r\"${:.2f} \\leq z < {:.2f}$\".format(z_min, z_max),\n", " zorder=3,\n", " )\n", " ax.set_xlabel(r\"$M_i$\")\n", " ax.set_ylabel(r\"$\\Phi \\, [\\mathrm{Mpc}^{-3} \\, \\mathrm{mag}^{-1}]$\")\n", " ax.set_yscale(\"log\")\n", " # ax.set_xlim([-14, -24])\n", " # ax.set_ylim([min(magnitude_bin), None])\n", " ax.legend(loc=\"upper left\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "path = os.getcwd()\n", "new_path = path.replace(\"notebooks/validation_notebooks\", \"tests/TestData/\")" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }