{ "cells": [ { "cell_type": "markdown", "id": "3588b39d-5f96-4443-9241-189418f21f01", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "id": "7GoFZn8bp_6J", "metadata": { "id": "7GoFZn8bp_6J" }, "source": [ "In this tutorial, we will run a quicklook spectrotemporal analysis of a NICER observation of one epoch of the 2018 outburst of the accreting black hole MAXI 1820+070, largely reproducing the results from, e.g., [Wang et al. 2021](https://ui.adsabs.harvard.edu/abs/2021ApJ...910L...3W/abstract), [De Marco et al. 2021](https://ui.adsabs.harvard.edu/abs/2021A%26A...654A..14D/abstract). We will not give a scientific interpretation, just pure exploration.\n", "\n", "The dataset used for the analysis can be downloaded [on Zenodo](https://zenodo.org/records/10683101). \n", "\n", "DISCLAIMER: this dataset was downloaded from the NICER archive and only run through `barycorr` to refer the photon arrival times to the solar system barycenter. We did not run the official NICER pipeline on these data, and some of the features appearing in the power spectrum are instrumental artifacts. Data are not science-ready and only good for demonstration purposes. For more information (thanks Paul Ray and Sara Motta for discussion): \n", "\n", "+ [Some Notes on Timing Analyses and NICER Data (using also MAXI J1820+070 as an example)](https://heasarc.gsfc.nasa.gov/docs/nicer/data_analysis/workshops/nicer_wkshp_timing_5_4_21.pdf)\n", "+ [NICER Analysis Threads](https://heasarc.gsfc.nasa.gov/docs/nicer/analysis_threads/)\n", "\n", "See [Uttley et al. 2014](https://ui.adsabs.harvard.edu/abs/2014A%26ARv..22...72U/abstract), [Bachetti & Huppenkothen 2022](https://ui.adsabs.harvard.edu/abs/2022arXiv220907954B/abstract) for reviews on most statistical concepts and terminology used here." ] }, { "cell_type": "code", "execution_count": 1, "id": "3a1a8c5a-f94c-4793-ac0a-a7ecce7615f6", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 3072, "status": "ok", "timestamp": 1642601518655, "user": { "displayName": "Matteo Bachetti", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GhxoUVaeEqqcjFzInzeE8D98rozP9u4SLjbe8Il=s64", "userId": "03388608366583665389" }, "user_tz": -60 }, "id": "3a1a8c5a-f94c-4793-ac0a-a7ecce7615f6", "outputId": "36746cbf-a295-43e0-f252-2203f73ea7ef" }, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline\n", "\n", "import black\n", "# Uncomment and run this before releasing a new version of the docs\n", "# import jupyter_black\n", "\n", "# jupyter_black.load(\n", "# lab=False,\n", "# line_length=100,\n", "# verbosity=\"DEBUG\",\n", "# target_version=black.TargetVersion.PY310,\n", "# )\n", "\n", "import copy\n", "import glob\n", "import numpy as np\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "from astropy.table import Table\n", "from astropy.modeling import models\n", "\n", "from stingray.gti import create_gti_from_condition, gti_border_bins, time_intervals_from_gtis, cross_two_gtis\n", "from stingray.utils import show_progress\n", "from stingray.fourier import avg_cs_from_events, avg_pds_from_events, poisson_level, get_average_ctrate\n", "from stingray import AveragedPowerspectrum, AveragedCrossspectrum, EventList\n", "from stingray.modeling.parameterestimation import PSDLogLikelihood\n" ] }, { "cell_type": "markdown", "id": "90aece42-47bc-49af-981f-c12b81b0f729", "metadata": { "id": "90aece42-47bc-49af-981f-c12b81b0f729" }, "source": [ "## Data loading and cleanup.\n", "\n", "Let us take a look at the light curve. We load the NICER event list into a `stingray.EventList` object, and create a `stingray.Lightcurve` from it. Note that, for NICER, it is important to know how many detectors were on during the observation. In this tutorial, we make a rough check of how many detectors were on during the observation. In some cases, the number of detectors might _change_ during the observation. The user is encouraged to plot the `events.det_id` attribute (that gets set thanks to the `additional_columns` instruction below) and check the header of the event file for possible detectors that were switched off." ] }, { "cell_type": "code", "execution_count": 2, "id": "fa9bf7ab", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 358 }, "executionInfo": { "elapsed": 256, "status": "error", "timestamp": 1642601523824, "user": { "displayName": "Matteo Bachetti", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GhxoUVaeEqqcjFzInzeE8D98rozP9u4SLjbe8Il=s64", "userId": "03388608366583665389" }, "user_tz": -60 }, "id": "fa9bf7ab", "outputId": "7be21b43-046a-4753-e2e1-da99ab63f3ef" }, "outputs": [], "source": [ "# This dataset can be downloaded from the NICER archive at the HEASARC.\n", "# We do not include it because of the large size.\n", "fname = \"ni1200120106_0mpu7_cl_bary.evt.gz\"\n", "# Here we are also saving the information about the detector\n", "events = EventList.read(fname, \"hea\", additional_columns=[\"DET_ID\"])\n", "events.fname = fname" ] }, { "cell_type": "code", "execution_count": 3, "id": "5d922d6d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create light curve and apply GTIs\n", "lc_raw = events.to_lc(dt=1)\n", "\n", "lc_raw.plot()" ] }, { "cell_type": "markdown", "id": "7e37946c", "metadata": {}, "source": [ "The red areas in the midst of the \"good\" data intervals are actually small intervals of missing data. For example," ] }, { "cell_type": "code", "execution_count": 4, "id": "05e44199", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc_raw.plot(axis_limits=[1.331126e8, 1.331134e8, None, None])" ] }, { "cell_type": "markdown", "id": "3d1fecba", "metadata": {}, "source": [ "Let us get some statistics on these bad time intervals, in particular the very small ones." ] }, { "cell_type": "code", "execution_count": 5, "id": "9ab90390", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total exposure: 5438.068227797747\n", "Total BTI length: 44846.231474906206\n", "Total BTI length (short BTIs): 33.45650801062584\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from stingray.gti import get_gti_lengths, get_btis, get_total_gti_length\n", "\n", "gti_lengths = get_gti_lengths(events.gti)\n", "btis = get_btis(events.gti)\n", "bti_lengths = get_gti_lengths(btis)\n", "\n", "plt.hist(bti_lengths, bins=np.geomspace(1e-3, 10000, 30))\n", "plt.xlabel(\"Length of bad time interval\")\n", "plt.ylabel(\"Number of intervals\")\n", "plt.loglog()\n", "\n", "print(f\"Total exposure: {get_total_gti_length(events.gti)}\")\n", "print(f\"Total BTI length: {get_total_gti_length(btis)}\")\n", "print(f\"Total BTI length (short BTIs): {get_total_gti_length(btis[bti_lengths < 1])}\")" ] }, { "cell_type": "markdown", "id": "b884f27d", "metadata": {}, "source": [ "These short bad intervals $\\lesssim 1\\,$s represent a very small fraction of the total data, and can be filled with simulated data, without altering too much the statistical properties of the data themselves." ] }, { "cell_type": "code", "execution_count": 6, "id": "3737faa8", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# max_length is the longest bad time interval in seconds we want to fill with simulated data.\n", "# The buffer size is the region (in seconds) around the bad time interval that we use to\n", "# extract the distribution of the data to simulate\n", "ev_filled = events.fill_bad_time_intervals(max_length=1, buffer_size=4)\n", "lc_filled = ev_filled.to_lc(dt=1)\n", "lc_filled.plot(axis_limits=[1.331126e8, 1.331134e8, None, None])" ] }, { "cell_type": "markdown", "id": "9de38fe3", "metadata": {}, "source": [ "Let us compare the raw light curve with the simulated data in the same interval above" ] }, { "cell_type": "code", "execution_count": 7, "id": "9d336905", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/f3+YmprCwcEB06ZNQ3Gx4rpkx44dQ7t27SCVSuHp6YkNGzZUiiU8PByNGjWCsbExOnXqhHPnzmnknAm3MiqsXfY4M1/ASOquuJZFtYlmdO2yVugQCCH1mKCJl6urK3744QfExsbiwoUL6NmzJwYOHIjr10sXE546dSr27t2LHTt2IDo6Go8fP8aQIUPY55eUlKB///4oLCzE6dOnsXHjRmzYsAGzZ89myyQmJqJ///7o0aMH4uLiMGXKFHz44Yc4ePAgW2bbtm0IDQ3FnDlzcPHiRfj4+CAoKAhpaWn8/TFInTRwXYTrCc+EDkMtN6IfCB1CvVScTYMNCCHCETTxGjBgAPr164emTZuiWbNm+O6772Bubo4zZ84gMzMTa9euxaJFi9CzZ0/4+flh/fr1OH36NM6cOQMAOHToEG7cuIFNmzbB19cXffv2xfz58xEeHo7CwtJ5mlauXAkPDw8sXLgQLVu2REhICN5++20sXryYjWPRokWYMGECxo0bBy8vL6xcuRKmpqZYt25dtbEXFBQgKytL4Ub4U5Jfgr1HEoQOgxCtcCs2RegQCCFK0po+XiUlJdi6dStycnLg7++P2NhYFBUVITAwkC3TokULNGzYEDExMQCAmJgYeHt7w9HRkS0TFBSErKwsttUsJiZGoY6yMmV1FBYWIjY2VqGMWCxGYGAgW6YqYWFhsLS0ZG9ubm7q/xEIIUQF+c906zI7UY28hEbK6APBE6+rV6/C3NwcUqkUkyZNwq5du+Dl5YWUlBQYGRnByspKobyjoyNSUkp/3aWkpCgkXWX7y/bVVCYrKwt5eXl48uQJSkpKqixTVkdVZs6ciczMTPb24AFdNiLaydiEpusjRB/kPcnDkbMPhQ6DqEnwT+TmzZsjLi4OmZmZ+OuvvzB27FhER0cLHVatpFIppFKp0GEQPWQg5ub3kJGzGQqTcyAxEPz3FSGEI/uP3EXPTq5Ch0HUIPgnspGRETw9PeHn54ewsDD4+Phg6dKlcHJyQmFhITIyMhTKp6amwsnJCQDg5ORUaZRj2ePayshkMpiYmMDOzg4SiaTKMmV1EMInriaLNLI34aYiQniyOyoBhhbfw9j2R9xM1O3BM5wS0wyy+kTwxOtVcrkcBQUF8PPzg6GhIaKioth98fHxSEpKgr+/PwDA398fV69eVRh9GBkZCZlMBi8vL7ZMxTrKypTVYWRkBD8/P4UycrkcUVFRbBlSakuxvdAhEKIRIgP6YtMGO/+9jeLsIhQ8y8c/h2nwDNFPgl5qnDlzJvr27YuGDRvixYsX2LJlC44dO4aDBw/C0tIS48ePR2hoKGxsbCCTyfDJJ5/A398fnTt3BgD07t0bXl5eGD16NBYsWICUlBTMmjULwcHB7GXASZMm4ddff8X06dPxwQcf4MiRI9i+fTv279/PxhEaGoqxY8eiffv26NixI5YsWYKcnByMGzdOkL+LNhFLJTB2swAA5EAicDTquZ/wXOgQiJYycjQFsoWOghBSHwiaeKWlpWHMmDFITk6GpaUl2rRpg4MHD+KNN94AACxevBhisRhDhw5FQUEBgoKCsHz5cvb5EokE+/btw+TJk+Hv7w8zMzOMHTsW8+bNY8t4eHhg//79mDp1KpYuXQpXV1esWbMGQUFBbJnhw4cjPT0ds2fPRkpKCnx9fREREVGpw319Y97GDrZ9G+HdDm7Yev4BtLFNIL+guPZCABKSMpAUR/OykcrM29hBRIsBaq3N+24hN1XYGeKPH08S9PhEvwiaeK1dW/MM0sbGxggPD0d4eHi1Zdzd3XHgwIEa6wkICMClS5dqLBMSEoKQkJAay9RX2vydNHzCHqXK3dGhRZHz0vNw7NxDBHSkDrSE7Nz/n6DHT0h4hlu3nggaA9EvWtfHi2gvbZxBJjuzgL2vzQliXS1bf1HoEAjRKqYtrAXpZJ6eTusxqqOkhMG9exlCh6FVKPEiSst/+XZJ1rE1EXWGCLBtYgUAkKuxjKPk5ZeTgUSPMlFS76Q9UUx4RDQtik4xMzNi7y9eXP1k5PURvZNJnT3LKRQ6BL3l7CbjrK6GNqac1UUI35bM1v75HEn1ZDIpXmtYep0kN5fWR62IEi9CCCFaR2Is+PzeRE19PIWOQDtR4kWIjrue8IyWESH1Sn6+cqOZiebMXXYGDs1+EToMnUSJFyEqeJ6Vj85vbcbOlTWPltW0q/89Qeumy9Cr81rM/PmUoLEQonHy0ktXX3wRKXAg5Me50Ui/TXMjqoISL0JUsPLPqzi7947QYeDijTR2uOnV6zRPGQEs/Bwg66yfy50Z2hoDAHKon6ngCqnflsoo8SJEBbl6dqlje8RtvDFqB3YcvC10KERN1r3cIG1gLnQYGiHzdxY6BELURokXIQTvDf8Lh7fcwOh3/xY6FKIG6x6u9XoW/teGboWh+XcYOaXmSbUJERIlXoQQFGWVXropyCiopSTRZt6ulhjfzQNveOn3cmcPn+dVuf3kzngU5xRjx2ph+17qu/yCYsjzSxS2yQvluHIlFQDAaONs21qEEi9SyddfHxE6BI3bsvum0CEQwjlHmTH+96YXvJy5mw9OG6Vm1TyJs7xYjRmISY3kcjkcmiytsczfEgeeotFNlHgRBTcTn7H3JTKjGkrqtj07bggdAiG8iT/1CNnUGVonnbmSzI7m1JRfVl1QumxhkRwvHmXXWOasI/XFqwklXkRBcVH5L0VLPe7IKpbQW5/UL7//Q628umjq/45q/Bh3rj9BxgtuuhmYetnAuP52M1QKffuQqokAkQAL0hLu3b+YioIC/RqFSequsKCk9kKkEkbgDkv5eZppqcwvUnw/FBTS+4MvlHgRIiCfwEYaq9vEovxScXT0fY0dR5ccPEV/B31UWFSCvw9pZiqUxCc5GqlXaFl6NiWOLqHEixA95dm+/FIxLVJb6pufaHZ/feTTcwPeDtrCaZ3frTgHmetCTPn8EKf1EkXfrzwHN5/l+HS+5i+pagtKvIjOoEufdWNqYgAjFzMAwO20mjvD1hdFRZUvp4hNhF2MOfFhJrxeXwfvHuuR+jSXkzplFvo7MAYADF/po/nfhWTOj7F08Rm8eJRNy+Jo2DdfHsHDK+lYNvu40KHwhhIvopL3ph6AkSwMgSN2qF3X/eQXGPtFBBZtuFhjOUMjidrHqk86ediy9/N0qP9GfOJzlGTz00Jn42GJQWPb8HKs6izdcAk3jz/AtWNJWPXnVU7qnDCsNQZ/1BZ9xnjD2MaYkzqF5m5rijdals5PxsdvsGKakoIXRdn1b/knYX/qEZ3158qLkOeXIGrrDeBP9er68IsIHN5SOr3DwJ6N0aShlfoBEhgbimEmNYCufaxN+z6at2ONHOsDYztT4P6z2gtrSMVOzQWF3PS7MZYaYOfKtwAAFg1+5qRObeAokwodAiFqoxYvohKmiLtfgxkZ5ZMhpj6rekZqop4Hj7OEDkFpuTy1dukjCU2TQojWo/+lhOiJiE3XKm2Tl5QmyGvCTvMdDuFR864N0NDXAVM/9BM6FK0gL5TThLE66N/j94QOgReUeBGiJ0qK5UhLUxz63qOPJwBAInAHcqI5IgMRbp38EPcvTUZHb91ao/Hgqft4Y9QOrNrGTd+2ir5bfo7zOgn3DM3LB4IsXHFewEj4Q4kXIQKSGHDbS/jVUXuTxvhwWj8hXBo1djcOb7mBSe/u5LzuFBrJqxNMKixNV6LhpZG0BSVehNTidFwy7j/iro+UoYUR3Ns5okU3V3Tt4la+o3585hDCykrjZvoMQnQJJV6E1CA0LBpd2/4Gj0ZLkfgwk5M6zWyMcS92Em6eGA/fVg6c1En4E775Mtr02oAlGy4JHQoncvOLkJtP/aE07VFaNsydf4KR7Hv8uT9e6HCIgCjxIqQGV66kAQCYYjku3khTq67lyyv3X3h/UEu16iT8mzppP64euY/PP9ovdChq23ssERZWP0JmswCnLj0WOhwFxTlFsPFYjJ0r9SPBDVtxHjkpuSh6UYTteyjxqs8o8SIASi+n/bk/HnKBF4TVZykvZ8AWVejWJRaLYf5ydnmiG4peTnch16FJaatz4MhdyAtKUJJXjANHE4UORxEDPL9Xfolf1z+afvs5RugQeFfMlH7Y/bPvP4Ej0S401Ing2p0n6Nr2NwDAgPHUGVtTxBIR5AB++aWv0KEQPZCZXSB0CKQOJFIJm7TXF/FiUwC5SE/JQdSZJPTq3FDokLQCtXgRXP+vfNbupPvc9GMi1bO11I8lXAg3ilScjPiDyfsAAEyJak1Bpy49xm8/1b9WGGWJaW1YtbVqVd6af//xCwEj0S6UeJFaWZnq94K7hAhp7Q+qTW5bVFB6qdPCxVyl50+ZFQV5vu5fLtUUU3P63FOXpYUEBlaqL/N0MvYxZvx0Avfz9CtV0a+zIWq7fPgee3/NmPb4eZgPBrdtwOkxxnwRATvPpfhq4SlO6yWkPpoQ3EGl5+XncrMuJCEViUTctRQGdFuHBdOPIHCvKWd1agNKvEi1Ar0c8bafKxrbcdv5+4+FZ/E0IQMLvz3Bab2EEN319sd7wbycQLNJR2eBo6mZ2FhSp/Lrdl5H/tP82gvqAYu29uz9HEb1FCPjRQFKXrbIJqfr148ESrxIrQwkYoT08OS83mJaS40Q8tLfKy7ivwr9TbWVmaMpDIzrNi5t94HbGopG+xg5lrZOFRSXYHmJi0p1JCRlwM7xZy7D0iqUeBFCtMaD1BeIOXpP6DCIQPJpIletVlhUgqD3/lKqbKYaP6xPXnyMkjz9auWqiBIvQuqBkrxiTpc9qk3vUX/BtvESLNpwsU7Pe63fZuSmCrOMzCW5ap3UieoM6njJri4S72VgdOi/iIxJ0tgx6ptNe2/h+F80+au6BE28wsLC0KFDB1hYWMDBwQGDBg1CfLziixoQEACRSKRwmzRpkkKZpKQk9O/fH6ampnBwcMC0adNQXKyYLR87dgzt2rWDVCqFp6cnNmzYUCme8PBwNGrUCMbGxujUqRPOnaPV7YlqZvx0Ag19V2B++Flej/ssp7DafR4eS/EgtfYh3ZExSeg96i+s2nZVpRjyC4oRueU6niVm4uef6zZi7/HLSWb5ZGxY+uV/Tm7B+7HrOzNL1Ue81SZ6xy1sWnwOb/bborFjzJ5/XGN1a6OcHGqR5IKgiVd0dDSCg4Nx5swZREZGoqioCL1790ZOTo5CuQkTJiA5OZm9LViwgN1XUlKC/v37o7CwEKdPn8bGjRuxYcMGzJ49my2TmJiI/v37o0ePHoiLi8OUKVPw4Ycf4uDBg2yZbdu2ITQ0FHPmzMHFixfh4+ODoKAgpKWpt0yMztLxWaKFtmD6ETy4nIZ50w/zetziGuZ0YorkuBb/tNL2eb8qJocjRu9C5JbrmPTuTrXjKSpUbY4qPo3v5iF0CESDCjO4n2i2bBBAahLNe1gJzX9WK0ETr4iICLz//vto1aoVfHx8sGHDBiQlJSE2NlahnKmpKZycnNibTCZj9x06dAg3btzApk2b4Ovri759+2L+/PkIDw9HYWHpr/+VK1fCw8MDCxcuRMuWLRESEoK3334bixcvZutZtGgRJkyYgHHjxsHLywsrV66Eqakp1q1bx88fgwAA5v6kX1NMFGv5kP0HqS8w55MIhW1ZacJc6quOXM5g0MR/4Nf3d8SquV5mVRpxPGq3Prmf/AJmTj/BSBaGvw8p14F877FEvPXhbuyP1rIliurgh6VBAAARKMmoqPHrrhBR4lUrrerjlZlZ+uvBxsZGYfvmzZthZ2eH1q1bY+bMmcjNLf9iiImJgbe3NxwdHdltQUFByMrKwvXr19kygYGBCnUGBQUhJqZ01ubCwkLExsYqlBGLxQgMDGTLvKqgoABZWVkKN6K+S+eVX6j3j82qXQoj5TIytX/ZmUvX0vDP6jhcjEjE1z/SFCTaZM/hBOSm5qLoRSG2Kbnw87DB27B37WW8PXR7nY7l6iqrvRBPDCXCf3W2ClgHI9n3+DxMey53ejazEzoEnSD8u+cluVyOKVOmoGvXrmjdujW7feTIkdi0aROOHj2KmTNn4o8//sB7773H7k9JSVFIugCwj1NSUmosk5WVhby8PDx58gQlJSVVlimr41VhYWGwtLRkb25ubqqfvA5SdZmS2tTlx9KtM8onaUR35eaV9yspoJnWdV7By0t/dZnXasWfg7Fn3SANRaR78guKcSP6AYpeFGHTxstCh0PqSGsWyQ4ODsa1a9dw8uRJhe0TJ05k73t7e8PZ2Rm9evVCQkICmjRpwneYrJkzZyI0NJR9nJWVVW+Sr8JqRp0dv/AINlZStPbU7K8eNx8HPLicBrEhN78bPpwZiYMHbuOLz/3x2Zi2Ktdz607l/lOEEPUYmBli0rttaiwjMZLU2+WP5HLt6ZArMaDLjMrQihavkJAQ7Nu3D0ePHoWrq2uNZTt16gQAuHPnDgDAyckJqampCmXKHjs5OdVYRiaTwcTEBHZ2dpBIJFWWKavjVVKpFDKZTOFWXzk0+wX/WxqD1zusgXfTcJy/llr7k9RgY8/t8hFrfziNh1fSMfvrI2rVs+JH1RYclpoYqnXcitp5LVfoTNyisQ2oGwrRd+a2JkKHUC/EXq3+s93Y1hjvv9u62v1lUp/mYsJXkQhbdZ7L0HSKoIkXwzAICQnBrl27cOTIEXh41D66KC4uDgDg7Fy6pIS/vz+uXr2qMPowMjISMpkMXl5ebJmoqCiFeiIjI+Hv7w8AMDIygp+fn0IZuVyOqKgotoy+KCwqgXvbFTB3/gkbd9+ottyKPwcrXWf67efYu+8/9vH5Gv5zarMCNYdKS6TVz0m0MzKh2o728+b3gKuPPUZ/3kmt41fF3dkCF69/XKfnFOdr94AAbfL6sK0aP0bGiwK8Pmwrugzagkdp2Ro/HhdCw6JhaP4dmnVZo3IdBqalF2TsG9XfH7XaZtOy6pOlnTuHo2Vj21rr+GTOEawJO42vJh3AmSvJXIanMwRNvIKDg7Fp0yZs2bIFFhYWSElJQUpKCvLy8gAACQkJmD9/PmJjY3Hv3j3s2bMHY8aMQffu3dGmTWnTc+/eveHl5YXRo0fj8uXLOHjwIGbNmoXg4GBIpaVzxEyaNAl3797F9OnTcevWLSxfvhzbt2/H1KlT2VhCQ0OxevVqbNy4ETdv3sTkyZORk5ODcePG8f+H0aDoC4+QFJeGnJRcrPnjSpVlpNbSWpv26+rSzXQ4eS2Dm89yTuvVFb+svsDeb9HYWmHfxyPa4EHcx/j95z4aOXbblvbsl5gymCLtnwJCWxz/Kx7XEzS7zM3KrVdw/K94xPxzGz+vjq39CVpg66arKM4pxu2YR8jKUW0AR0TUaEz8uisO7X6X4+iIqiR1XCqpKs+e5rH3H6Xoxg8Jrgnax2vFihUASidJrWj9+vV4//33YWRkhMOHD2PJkiXIycmBm5sbhg4dilmzZrFlJRIJ9u3bh8mTJ8Pf3x9mZmYYO3Ys5s2bx5bx8PDA/v37MXXqVCxduhSurq5Ys2YNgoKC2DLDhw9Heno6Zs+ejZSUFPj6+iIiIqJSh3tdV7E/AMPw1zdgxabLSL2p/euwaUrZ371xByd4uFoKHA3hUmGhZvsW5VRoKa040ECbyTn4bOnVuSF6dW7IQTSEaBdBE6/avvjd3NwQHR1daz3u7u44cOBAjWUCAgJw6dKlGsuEhIQgJCSk1uORUk06OiPxchrkBbV/8WiiA2hxdhFys6ufqV1bVGxOd9aiIfGEEKIqE1tj5NVhZKo6cp4UICFHjCZm+tEarxWd6wlR1dOEDN6OdTTmIUK+OVrnNQ+Xrq054SdElzzPykdxceUvwIqXkIh+27R3OHb9w+8l4FUJ3A6qEhIlXoQoKXzucYTPPY7BH+yutayRVfkadCUl+vErjZCp30XDxnoBrNwWIr9AcRBG1NYbyM3XjUuhmvTVwlMIeGcbTl2ieQa5pKGpIwVBiRfRSnK5HDsO3kZCUobQoVSSlqx9HUKlNsZwbGFTe0EimNgbadgZmQC5XHcT8WPR9wA5g5yUXNy8W3lB8/R63ur1PCsfYV8cRvSOW5j8+cFqy+3+7RJm/szN8mhPEjIEeU+52Ku21FZy8guOI9E9lHgRrTRo4h6802cLmjX7VeVRUXwreJYPx+a/VHkZhtRv1xOeoX2rFRjaexM+nV97v1Wim7IrDH7IqaX/6W8rOJrHSs5g27/KrZNZJr+gGCXZ6rVOejezg6lj3S7/PUrLxo3oB2odVx9Q4kW0UmJC6a9peUEJHqXlCByN8tL+e46rt2kGe1LuyNmHaN10Gfv4vzv1d3QvKVfC4Q+024kZdSr/0deHOTmuX7e6rdaSkJTJyXF1HSVepBKDGiYCJaQm9x9lwdplodBhaJXVW64AetQ/RdcYWhgJHYLGpabnwMZjMWQNFuL4hUe1ln/0iC73CYkSL6LA0s0CU2d0FToMndOyu1vdVvjWEWKj+Xjrw91Kl99z5C7yn/EzxFxX8DlfXn31IrX6VnFRPfiWOx3zAM/vZeHF42xs+Ou60s8zb6PeurqGFdbLlUrrPjvVqj+u4EVa1Wv/Avrbd1VrFskm/DsTcVfhsZGlETKSQqspTeojpkiOfRuvAmsGCR0KAODi6YdCh1Cv3H+UhT1H7mL0oJawspDW/gQBLPsjrtrluOqLirk9w+Oi2V991hmJd57D2VWGgA4uuP64bi1pkZuuaSgy7UaJVz1WkleMcwKuq0gNAbqBqUNflAcaHrGU9fAFbiY+Q0sP3f4V/NaHu3HjWjoW/xAodCg18mq7ErnpeVjS8RwSzk4UOpwqXb6Rzk098ek4dvYhxr/dGuam3C1cr896dW6Iu+c/EjoMnVMPGmFJTZ4+F274N1Mkx56jd2svWE/l5hchbNV57DhYtxFLZQzE/P73nrvsDH6acUTjx0mu4dKELnj2JBd7115GwtnH+ObHk0KHU6Pc9NLPh6TrTwSORLMKi0rQzmcVpozdgzdG7BA6HEG8HxohdAj1BiVeRFC76jgMuj6ZNCsKX006gHf6bMHl+Lr/qh/Yq7EGoqreGSU69RIoTDdSVKTZdR6Jcl7kFLFLnz2o4whBXdaiwrqxt2/pd3KtTSjxIjrheVY+7pzRjZmgu/XYgMIM9ecee1xh5NGd+xmV9u+OSsCKdVUvR9SujweMVejsSgipP8RiEUZ/3kmjx5C/XER+/NC/MHbS3hrLHtt+E4X14McIJV6Ec8Ejd2F7BLctWRt33mTvO7tYcFo3Fxq4lseUm6r5S2HPs/IxOHATzu69o/FjCa2Aw/mOSoqpY6G+atjWEZv2Dseeo2OEDqVaYqPyqXrMZNo5WIFr8goDH+7F1t6n+OTFZE2GoxUo8SIa8fs2bkerFFVY7/CjMT6c1q0OIyspfvljIP5ZO4jTeq9cqvnD58lz3ZiygYsZNh4+4yaRTX6Sg0uHEjmpi2gfkQgY9WYL+LZUb4oETWr9mismzeoGoLS1idRPdC2C6BSZq7lWfWBZ2Jrgk/d8Sx9wMEzT8OUv4rvnU+DgrH0te3VlYq7+5JVcLY57/Jxu9UHLLyhGs06r8eBymtCh6D05w+MyX9rz8UUEQi1eBCFTSkez0PQOauLg7zf/q9fY+3m56q2lRnRbZMwDSrp4MjJkv9JlbZ3NNRgJqQ8o8SLIzyldzNWYg9YJop7+r3sIHYLWu3RduLnn+EQz3vPn3t0M9r6xSdUXgoYF+2H4J+2xe8vbPEWlJ6iFrxK61EhY877rKXQIhGe3Ep8LHUKdfTF+H8xMDTHp3TZCh0LqCdsmVgif3xP21qYAgJM0dYrS7N70wJO91LeyImrxIvVa2KrzQocgqM9nHBY6BJVculbzJTi5XI6r/z1RmDNLF7x42fqsTz6ZcxRyuW69DhVN/Lorntz5jE26tIGQK47Ulay1HVoHNBQ6DK1CiVc9c/32U5Wfa2hrXO2+y4fvKTyO2H4DYoN5aNFtjcrH48POPbfY+6ZW1Z9fRRKJ/rSdl5Qo94U4+KM9Kk3iCgChYdHwaL8SizZcVOn5qvAf+CfaNA+He9sVvB1TFVei7is8Xjb7uECRaM7vC8/izwP/CR2GXvnsK938wURKUeJVz8yfG63ycw0spTD2kClVtiS3GEwJg/hTutMkb2io3H8Hwwpz8VT0TogfHFvYwLaJFYdRaYfdv13CqEn7VHru4q+O4V5sKmZ9EVlrWRFHI1YvHC69tPH4mm7Nxi2u5r2l69KfCLc0mT7Kz6vfi4LrOkq86hl1v9jEUtW+GNLSc9Q6ri7YtuxNpNz8BO27ugodikZkPFXvy7PgRe2X0SzsTNj7pvYmNZQkRDlFuZSkKKOosAT3H2UJHUa9QIkXUYqpigkXUNrfZu/ayxxGI7wjx+4JHYJeEr38XfDVwkC4NLEWNphqSKoZ9cY3OVcTnL3i87Dj6Nh/EyJjkjRSf0VP7mSo9LzkG0+V7r/HFMkx79ezKh2nPkmKS0Mjt8X435LT7LYzV5LRZdAWTP5flICR6R9KvIhSRnRoiCkGql02LCyq/gNyw09nVA2Jd22Dyqd6OL27tM+KXE5D/jUt/mKK0CEokMqEn3bFo/1KpN/mfkRqVk4BFn11FOcPJCD480Oc168uaYUfgCv+vKL0806efaiJcPQPA5yMKf9bTf3fUcT8cxsrvz2JhKQM4eLSM5R4EaVYmxlhisFjuFhxf/mnsED7F0Xt+KYnWrd2YB+XXXIN/kyzC8wSIP+Z5pZH6uDrpLG6NUmZNe/qimGAoqLyHxK52fyNsDQwN1Sq3Kdj27L37z2ky2Kalp9XPolzVg5N6MwVSrwIUUOPzm5Ch6CyN0bt0LnO51wwsjRC3K2PcfHGxxgzsKXQ4WiNH2YIcznJtY09e4m5Ng0czOHYwkazARGiYdrRWYGQlwryinHtzhNcO6b5/iX13eEtN4QOgVdff3OMve/T3F64QLSUSMLd73AJh3XVlb2VCYwspSjMLBAsBkJqQi1eROP+ibqrdNnMBy/g3TRcg9EQbZaVnquxulMflF6aYrSwX55PYCOVnzu4tyd3gXBEaizcb3pjqQEeJn6KqDPj4densWBxVHTnP9XnT1THg9QXmPHTCZyMfSzI8UnVKPEiGvftT6c4rc/dxYLT+gjQsrsbGngL2wq0esc1FGaW9isSczSfl4KXVYYtCeK+7hpE/BPPfaUv/z4Xrk9GNz8X7uvXcfbWpujZyRUiAb/h7p5PwaCJ/yD9eS5unijtsC4x0ExAr05gXSZwyDYsmH4Er3ddp/YxnmTkoTCDWhG5QIkX0Tiul23xaW6P37YPrbT93i1hflXqg149PXD5+AeCxnCxwjIoYwZ7aew4EjF/H3tPM/KRmfRCY/WLle0cRTROLpfj/kPF1/qf1XFIqdCKO3OqP68xPb6XAQCQ1zCASdkfOd8uKp9mQmYuVSuu+o4SL6KTJgxrXWlbbmouos7U375hORV+jVopufxRRbYqPEcTXNvYo6m7lcK2Jh2dhQlGTbkF5SPB3HwcaihZP/y5XwOtf1qicYff8Fr71dUXEAHDgpryF5CSPh7tq1S5zAqfL/27u2somvqBEi+iV+ITM4QOQTAlReW/atf93IeXY875JQYS6bew81wKrtdB1rc50qztaCb+P3fdFDoEjbl/UXcWrq6oo7cjRHVYf7ZdHw+IeWw11kf01yOcUqeTsKoMzAxh6mjK+3G1mXsD5dbUrAuDKtay3LPvP8gLS/A0IQNpKdnlZc3U71xdXFieSI4a5a12faRm8sIS+PfbJHQYWuFpRj4eXE4TOgy1ZLwoQPZj/V+qTRdR4kWIvtBQfx+RQWm9Bkp2DG7XxwNjP+nIaQwfj/Kpdt/TjHwsWHMB1xOecXpMfVOiRJPk7ZjqV6fILyhGXOQ9DiPSXqu2ls+K7+qsm4N5lv0ep9bzuXy9a/toauBtr/I6wLqIEi9CNGxHeCwS72g+KQgc2AwA0NCX275E3q835LQ+VUmtqu7Q26X/JsyYsB/t/FbxHJGOeHnFduZU9ZYA2nU4gYNgdENehc7oMya2FzAS1WXnqrfywN+RdziKBBj/vi9ndekDSrzqiR9Wn4epwwI8T8zktN6aRsvUVeBIL3h2Vm9o/LSpBzH2iwiOIuLOw8vpGj/GnjWD8OT5DCTGfqTxYwnh/NkPq9z+IL50NGvZVBREkYNraYtNXRtEH11VfM8WFqn/f/3aZd3qB2XbxApGhnrQEqNCYziXo9E/G9MWk/7XjX0sNpJgzY7KI9PrC0ETr7CwMHTo0AEWFhZwcHDAoEGDEB+vOOolPz8fwcHBsLW1hbm5OYYOHYrUVMX/vElJSejfvz9MTU3h4OCAadOmobi4WKHMsWPH0K5dO0ilUnh6emLDhg2V4gkPD0ejRo1gbGyMTp064dy5c5yfMx+mfHsMwz/Zh0dp5X1uNmy8jLz0PM6P9cm87rWWuXVSuQVqRWIxWraqei6pH8NOKlVHbmoufl94FrfvZyhVXt/YWhmr1fG16+BmMHU01co+c97N7Or9yMCoyLvIzq3bmnnfz+2hoWiABT+frr3QS6lPc5F4QbsWPCfCGRSofRP/8kWlT+gHDx7g4cPyL9Nz585hypQp+O233+pUT3R0NIKDg3HmzBlERkaiqKgIvXv3Rk5OeYfAqVOnYu/evdixYweio6Px+PFjDBkyhN1fUlKC/v37o7CwEKdPn8bGjRuxYcMGzJ49my2TmJiI/v37o0ePHoiLi8OUKVPw4Ycf4uDBg2yZbdu2ITQ0FHPmzMHFixfh4+ODoKAgpKXpVgfLf4/fw9L/RWP7r7GYEXac3c71iLMyljJ+piDITC19T4grLEVi8nKUmFtL20rl6/rlpClteunWsOuTO0cgJ2UaBrxTPo+WtQ2NxtMWCeeSMWj8bqHDYKXeU74FPe2p5lYlIMq5/ygL3j3WI2pr/VouTNuolHiNHDkSR48eBQCkpKTgjTfewLlz5/D1119j3rx5StcTERGB999/H61atYKPjw82bNiApKQkxMbGAgAyMzOxdu1aLFq0CD179oSfnx/Wr1+P06dP48yZMwCAQ4cO4caNG9i0aRN8fX3Rt29fzJ8/H+Hh4SgsLL30sHLlSnh4eGDhwoVo2bIlQkJC8Pbbb2Px4sVsLIsWLcKECRMwbtw4eHl5YeXKlTA1NcW6dVXP+FtQUICsrCyFmzZIe1b+4ZahR7MMl10mWbm8P7vtauxE/Lz2TZyPHCtQVLpny27lhvOHz+uFkLndsWTjW2jY0FLDUWnW2C8i8E7IPpQUaujXB88eP+Z2Qlav11Vf6F2kiRUGlLRhzUXBjq2rFq+/WOs6uBdOJGHOLzGcT3xNyqmUeF27dg0dO5aOWtq+fTtat26N06dPY/PmzVVewlNWZmbprycbm9LV52NjY1FUVITAwEC2TIsWLdCwYUPExMQAAGJiYuDt7Q1HR0e2TFBQELKysnD9+nW2TMU6ysqU1VFYWIjY2FiFMmKxGIGBgWyZV4WFhcHS0pK9ubmp/uFFlGdgUP5B36ShFT7/wE/liT93RibgwgHl15HUZcX5pf1z9uxQ7peurZUxls3pgc/GtNVkWLz4feFZ7AiPRd6T6i+1v+3nymNE2sVQ4D5MTIXp2rJf1N5Pr2zZnWd3ue2vqorslBzcf6Taj+6HV9IhNpqP71bw16WloLD2fnrZyTmY99khbPmbWsU0RaXEq6ioCFJp6Qijw4cP46233gJQmhQlJyerFIhcLseUKVPQtWtXtG5dOit5SkoKjIyMYGVlpVDW0dERKSkpbJmKSVfZ/rJ9NZXJyspCXl4enjx5gpKSkirLlNXxqpkzZyIzM5O9PXjwQKXzJsDdG08EOe7oUX8LclwhvPNxOwCKl2r5Ji+UY+1f1wQ7fk06etjUWib9eS6Sn6g/L1J16+rVV9mZ+ez9u+dKvz9qmjp3xS99AZRPcyIER3sz9v6cpVX/OC8z7bvoavcxRXLsOXBb5Tg0OW/iEw0uWF/fqfQp3KpVK6xcuRInTpxAZGQk+vQpnSX78ePHsLWt3N9GGcHBwbh27Rq2bt2q0vP5JpVKIZPJFG71QcVfpwzDzczi2cnCTPKXq4HBBppSomarfxsv7eiU/uGwv5FfUD7w5dzVVCz/84rCNm107NxDODouRAOnhchNVfxCCuj9O7ZH3MZHsw4j9kb1fUKbNbfTdJi8mvhFhMYWTX777ZbV7nOyM6t2H1/e7t2EHSmYW0t/0isXXjZG6NdCDEQNKiVeP/74I1atWoWAgACMGDECPj6lkxvu2bOHvQRZFyEhIdi3bx+OHj0KV9fyJn8nJycUFhYiIyNDoXxqaiqcnJzYMq+Ocix7XFsZmUwGExMT2NnZQSKRVFmmrA5SqntAeWfxgnz1hpc7NLNWN5waFRfLMWjiP+gxfDsep+r2DM4TJ+7Fp/OP4utFpyDX1EgJnhQWl75vnmbko5PvKgSP3IWhk/YIHFXNomIegCmSgymp/O2Z9TAbw/tuwW/fnUL7VivwNCO/ihqA1T+8oVYMdp5WALibJzdJzbnlNHmZPvQDP43VzQWxWIwWXZW7PJ18o3S6k0mzutVSktQXKiVeAQEBePLkCZ48eaLQ+XzixIlYtUr5SQwZhkFISAh27dqFI0eOwMPDQ2G/n58fDA0NERUVxW6Lj49HUlIS/P1LV3n39/fH1atXFUYfRkZGQiaTwcvLiy1TsY6yMmV1GBkZwc/PT6GMXC5HVFQUW4aU+unL2qePUJYzh522mSo6gm7edwv/rI7Dse03sWrDJc6OVRcWsqon/ayrzAcvsGz2cXz/+WFs2f8fJ3UK7XFaNvByPcaHD7gdnGIm4EjMWQtPVbldLAZEVSy7pKwGjaxUfu6rjl94hKyHpdPNSHi4ZLf34G0U1tBZuzhPu1s8udCvV2OhQyBaQqVPgZ49e+LFixewtlZssbCxscHw4cOVric4OBibNm3Cli1bYGFhgZSUFKSkpCAvr/QSkKWlJcaPH4/Q0FAcPXoUsbGxGDduHPz9/dG5c2cAQO/eveHl5YXRo0fj8uXLOHjwIGbNmoXg4GC2H9qkSZNw9+5dTJ8+Hbdu3cLy5cuxfft2TJ06lY0lNDQUq1evxsaNG3Hz5k1MnjwZOTk5GDdunCp/Iu0mAiSmqq2lZ2Jc3hHXxs4Erk7mCvttBVoI+MfFQZW2ZVXoqJsv0Af76OGtOa/zYQq3o9q4cuNM9cvN8M1AwOVHnj7X/kvYNyssrzRmhObXwTyy9SZm/Vj9XHxMsX5fh7P2sMSAAI/aC5J6QaXE69ixY+xUDRXl5+fjxIkTStezYsUKZGZmIiAgAM7Ozuxt27ZtbJnFixfjzTffxNChQ9G9e3c4OTlh586d7H6JRIJ9+/ZBIpHA398f7733HsaMGaMwrYWHhwf279+PyMhI+Pj4YOHChVizZg2Cgsq/rIcPH46ff/4Zs2fPhq+vL+Li4hAREVGpw70+sPO0VmUiYwCAqbEh1v09DO9N7YhtawdiwrBWCvt/X9pP/QBVILMwEuS4tTE3M4S1h25Px6Csomz+5k7b/sdVJD4UflRbXTFF2nWZ2MTeBG156v8X8ftVjdSbkVn1pd3q/LQ2Fp+HHUdWjuam23l1/j7DOrR03k9+ATef5XBp9Suu/ifMwCOiWXVq9rhypXzh0Bs3biiM+CspKUFERAQaNGigdH3KdM42NjZGeHg4wsPDqy3j7u6OAwcO1FhPQEAALl2q+XJTSEgIQkJCao1Jn4z+4J86r2A/bogXxg0pn2DzuxV98eN3J9G+mysaOJgDYhF7CYkQLhW+7ISfkZSF9z45gFO7RggcERGSXC7H3ytK5/NSZqxPxMl7mP7hPgClneJXzO+lyfBUsv6v63h4pXS5puWbLmv0WI0a1Y8fhdqmTomXr68vRCIRRCIRevbsWWm/iYkJli1bxllwhBv5BcW4HVN+Gci3gzOOPSq9XPU0IUPt+r+a1BFfTaowqEILky4awq8fCiusDfr8mfZf0tMn+Ryty9qmlzuuRN3npK7CCi2Ibw5oVmv5+4/KL9OnpGnngJuSCp+fcg19lpq7mCF8eX+M7N+82jJ3rmpufVm5EvOJ6bM6XWpMTExEQkICGIbBuXPnkJiYyN4ePXqErKwsfPDBB5qKlaho895b7P3e77XGwT80uzipezvduDxrIlB/NGX9d4nWtaurHQdVnxOJK4mJz4UOQSNCP/lX6BBqNH1ie6FD4EUhB0mLlZ0pxgxsCQODyilAw7aln9+5adzO4+XbSjumtNEGdUq83N3d0ahRI8jlcrRv3x7u7u7szdnZGRKJHqzirodyK3Qs37HyTbUWUVbGoMEtNFq/OloHNGTvS4xK/w6anIRQHXlP69Z3RRkMw2D1jmv4+5DwCQpXpGbl/ft+Xlb7LOD9e2i2k/OFA3fV7j/Ua8R2DO67haOIOCLg8kCk3K9zj9deSA0zpnXRSL0fDVd+EMf+w/q9oohqQ9sA3L59G0ePHkVaWlqleYUqLlBN+JGbX4TNe+ORXsNCtOZOZpCZcTO9ga6SVPEL71VZOQWC/p16v9cahzZpZob3zKQXmPiOfs3YL60wQre4pObWgGZdGqCpu5WGIwKeZ6j+Hsp4UYAjWxXX1HRqaYtGHlZQp8ePvJhBcbG8ylYOvSdn4NnpNyScU21lFW2i6Rn73+jSsPZCKjK0MEKREstC7dlS+vlXwtHlbW2jUuK1evVqTJ48GXZ2dnBycoKowox+IpGIEi8BvDb4T1yMSBQ6DLW5u3HT2bNr9/Wwa2BR5+e17/sHYiPuouObnji7dxQnsdRVYw+rGvc/eZaPTj028BKLvuFq8lFNKnllklYDc0Mk3wjB0MnqTTJbnFMEK7eFSEucolY9tZHL5XgYr97krFxLT8+plHT9u+MGsOotgSKqO5/ARhrrq2pqb4KclFyIJNrxH0RiVHr1bNiHvjhyMEHgaLinUuL17bff4rvvvsOMGTO4joeoKLGOH3Ta+kti8devo4WnDdxcLDCw5x8q15P3JA8PalgUuTqxEaVN3Of23VH52Jp25EginifqxlQK9y+m1l6I8CYnJRdxtzQ7RcFfhxLYVo2hk9th75brKMzU3NQNynhwN6PStoLnBbif/ALuznX/gaZv1m8YhKWrLmDkK9MDCa1bJ1dKvMo8f/4cw4YN4zoWooLnWfl48rzufYG6DmyGkzvjNRCRegwMxAge5SN0GFpNlZFOnjxcXqvI2FjlXgyEY0GvucOqoQwZSaqvDlCcUwSxkpe4blcYXPDN511x/36GRpcXUkZ1o7dz8/mbe04VHC2HW6thQU0xLKgpAOD2/Qx+DlqPqXSxf9iwYTh06BDXsZA6epQvgr3zQjRrtLTOLSB9Amn5ivpkWB9PGJgZ8na8aR9qfq29gjzt/tLUFlYWUjy/P1Wt5YoAoDCz9r45Csd1l6FVExu1jimEFwK3zlW0+vtTvCVffBBryaVMoan0s9TT0xP/+9//cObMGXh7e8PQUPED/dNPP+UkOFKz2OdGKMmt24chHxpQ073WEYvFcGtpi8QL/ExR4d5ABmsPS41eEr17PgXX7tTtspmBoWojrx8lKy7T1LxrA8Sf0p4lktQhrmPHN6m1FAXPVU9OWnrZ4+a5xyh6oZ2Jc1r8M9yM178Z4xdtuIiV80uXbRIqmRsytg22rbgInwDNdeDXBSolXr/99hvMzc0RHR2N6OhohX0ikYgSr3ruszG+yM4pxJKfTrML8WqbjPtZkNoYCx1GvcHVpJmv5gjHzz+u0/PnfaXaIu/rf4xReKzM6FhNKcgr5nSS4s4+TnBv56jQH8+6kQzP71V9abJ5Oye1Xkt7W1NkpU+HifF3KtehaXduK99ndkd4LOS/CLNUWl1s+L18TGyOQK16W5b0w5YlpX+rpxncT5ejK1T69Kg4ceqrt7t39Xv+DW1y/pl29qMxMpTgm0/94d+zkdChVCKzLB/iX/BMf/7j6/q53Dj7WKlf4++M8oZYjQWwA7u4qvQ8dY7JNa6nRDAwEONe7CQYWpRfuWjoqdlLhMZS7fzsqovWbconio7XgX5RFf9fMRD++qWZiQFEL3/ANGhYv5YuqocTuuiPJdE1j0zcv+EKugzagows7emzILQe3d1rL6SnjE356+NVV8UVFtjOrmHR4xXzeqEkfxZMHU35CIuQav2xqA9736/jGgEj0U3GUgOcPP8hvlvRFxFbNLuairZR6WdHbcsCrVu3TqVgSN1IlOioGPPPbRQXyWstJ4SKrU98kYjF8GjvpNDXieu5nUYO8cLRPbdhailFv+6N8Am31ats9ZI+6NZudZX7ZBZGVW7XNRnP8itN6FxXL14UYv3OGwoLwXOl+9vNcfwv7RtNTOrOqMJghTwVpq6pzuWr9WcKli6+zuji6yx0GLxTqcXr+fPnCre0tDQcOXIEO3fuREZGBschEnUVFBTXXohnpo6mcHHRjk74nTupdvmpOmMGtkTB8y/x/N5UWMuMYWGlHX3JGlbz9/bu6Y4veBiFWFH681wMeo/7GfTvnkuGXx/V5n+TVGgRXLXhElchKYje8S7MXcw0Ujepu/SneSon6mKxGKOmdFCqbF2mgNm7Vp31CYguUKnFa9euXZW2yeVyTJ48GU2aNFE7KKL/2qrY14Zrzbs2gEym2dae35b1RZ9uGzR6DHWsXBgEaxl/yeGJC49x7nIK7p6veYRlB39XJMWlwdTRFLaWyscXF3kP1h517zMilkpg7mOH7MtPah31JeVonjKZqzkKsovQr4+nxmYlJ9V7vcMaNGzrCCMV+/AZGyt3+f7FU+VbxMRSCeRKTnAtxFUDoj7O+niJxWKEhoZi8eLFXFVJCKmBbRMroUNQWsUvti/nHkO+Eq2wfy0fgKu3g5F+bwpv6wuKlewH9/M3PTHz50C1j5f54HPkP/8SfV5vpHZdRDVJl1Jx50zdRsdqCycnc/y89k18OLMLnL1sAQB5+cJf4UiGEVKydHvAjyZx+mmWkJCA4mLhX3SiX+RyaO2cP0Q5UqkBXNvYAwCKipRfrqq1px1MlWxV4FNABxd8/3lXOLbQvQlCiQa97C/63ghvmDvzc0n58w/8sPr7NyA1KW2F3bbsAoqLhenXa1Xhh8vOi/oxz50mqNReHhoaqvCYYRgkJydj//79GDt2LCeBEVJm5g/H2fsSSe2/FSTGEpTka+dalPVZ19fdse1KOgDg9BluPpSjTydxUg8hQOli0bnpeSpd9pWYGODmzWAUFBWjtacdpo33g0j0DfdBVqPXG02wNra0Y35uQc0/VN0aW2skBjcbUzSyNcW9p7koKKbP4Oqo1OJ16dIlhduVK1cAAAsXLsSSJUu4jI8QJN0rn/28X/dGtZZv3c1Ng9HoH0cbE96Pqe46oSWFpR/qO9dfqbRPbMztnFv3H2Up3eeG6C6ZqznyVFj3tqKm7lZo7WlXp+ec23cHvUf9hUdp6k02PWdKZ6XK2TW1xrFdI9Q6Vk26N7PXWN36QqUWr6NHj3IdB+HZkD6e+MbcEEXZunMJr+ObnjBScckXUrUFa95Ek4ZWvB9XZCgGo8Y0J4NHt8HWX85DUqHvmImtMfKe5sOUw1Gk95NfwMNjKWf11Ufm5jrUAVygeUUjt1zHt42tsWJ+L40fq1uPRrDVkpHW9ZVafbzS09Nx8uRJnDx5Eunp6VzFRHjQ0sMGD+5NEez4r3XR/rW6jG1/RNTWG0KHoVHTxvM7jQRX+vRoVGlbU9/SmcTlJXLO1oi8fCtdrQTx468OcxKHLlv2XU+hQ9AJL7Jpouv6QqXEKycnBx988AGcnZ3RvXt3dO/eHS4uLhg/fjxyc3O5jpFoiKOtKSQcX5ZRVtgXXSGz0MwvYa6GWOv6MjxcSziXjIiT94QOo1a56dxNZqmu61fS2PvmJioOEuBwXUYhtPa0g8iQFknRdTTdCXdU+t8QGhqK6Oho7N27FxkZGcjIyMA///yD6OhofP7551zHSOrIyFL5eanentBWg5HU7Jup/nBv51h7wTqSWUjRpJML5/WqysGmfHkbCw0lm3wZ0HeL0CHopLHTOkMsLv24bdyytA+QkZVy7wWrBqUT3zbgcMLhW3eUXwS6Ta/6u8wWqaxtPZxpnmsqJV5///031q5di759+0Imk0Emk6Ffv35YvXo1/vrrL65jJHXUxIf7ZEYTnO3M8OP82i9DqPJLy7O59gzzb9vSHqHf98CAD33wyzz1L7vk5/HbL69L+/IktriaPoFlU0WQqlVclSpm3yj8tn0o/rv2sVLP/XyaPwBgwfTXOInll3UXsWTWMQBAQVYhJ3XWRp3LtUS7rAl7Q+gQdJ5Knetzc3Ph6Fj5y93BwYEuNRJShYUzu3NWV/wpfufHmfRuGxQVyfHpmH8AcWkKIZfLkV9YPtLP1sEMD0H9PCt6lJatsCZoGVNjQ0wY1rrO9RlLuZkt/1jkXfa+EKM1KybyRLeIDDhe2LaeUqnFy9/fH3PmzEF+fnkfmLy8PHzzzTfw9/fnLDjCjStR94UOQeNaNysfwu3ZpOY5apo0K28NKyqkaQKU4e4qK70jZzDz51Ow9VgKM7MwXD6qW/NoGRlork+jT2Ajhce/77rJ3vdqXrcpBjShrNUp9Zbylxnr6nRcMmZPPfTygJX3iwzFGNG/ucaOr8vyy5Lg2tarUgUDxMfWvEQX4Y9KideSJUtw6tQpuLq6olevXujVqxfc3Nxw6tQpLF1KQ68J//y8HHDiwgRs3T8Ci76quXVp3aI+PEWlPwI6NmDvH4i4jYykLEDOgBFohuy6at61AcJ+68dZq5EyyhZGFhmKdXb0aF0t/PUc24r2Ir3y1Q8jc35XIegX5AlRFctNmdiZYMq3AZW2e/g58RBVuYa+Duz9v1dcxNxlZyAv1Mz/qaIXyl1WNuJpea76TKW/sLe3N27fvo2wsDD4+vrC19cXP/zwA+7cuYNWrVpxHSOpI13vwK2qbn4uGN6vGduJWd8ZK7muIBdkZlJ0fqspJ3XFn3rES58fqZUU3j0aot/73rhx/AN8OaFDnZ7/KC0bn4QeVDsOSxdztevQJmKx4uWmii19FZeDYkqET8q/+dQfhXlfV16+RwQMDvKsVP5q9DiNr4H6Zq/GEBtLIDE1wJ/rB+Hj2eV993b9c0ujx1aGewNZlckq4Y5KP//CwsLg6OiICRMmKGxft24d0tPTMWPGDE6CI3VnbGOMNYuC0Gb/HaFDIRq2dkV/9Om2gffjpjzIqrTNhMckUFkW9qa4cmScys//9tezSIpLq71gPdP7jca4dTEF+U+FnW6FKWbw2pA/ay1nYCBWHN1QA1NjQzRtZY+nCRnqBVeD/q97ICfjSwCl/faaN7LG8nknFMq0CmiI68eEu4w/+EMf7Fx5SbDj6zuV0tpVq1ahRYsWlba3atUKK1euVDsoUrPND43RyG8lMlMqf/CNmewH72bC9yepioG5IUQGYrQN8hA6FJ0X8E5LBHUVZph/2n/PK237Irhya1JuZvmEkFKp7q04kJOrO6s68Mnd1RLRR98XOgwAwIUDd2svxJOS/GKlyxpLDWq87C2R1JApMsCtUw9rPUbcFfrRoK1USrxSUlLg7Fx5Lg97e3skJyerHRSp2ZzTBrh/MVXoMOps8Ng2kBf9Dxcjxggdis4ydTCFgbkhhg2q/MNHKFIbY7g5yyptL6qQuMyb3k3jcTRvQRN1EuG8Oa6N2nVcja7cyvXqdDpMCcMOXDCroaX50KZrasdDNEOlT6myjvSvOnXqFFxcaKiwphUV6fZM1kR1d28Eo+jFV/h4hPof8ppm5Vzat0lkKEbXtsp/Lni1Va2Ds1sDGR49DlXpubrKRkNr7llXWDjd1s60hpLaw9SUv4ETVelQh/d4RZbm5RNeM8XVf7a386vc2DH3s+pnEaAfIdpLpVdmwoQJmDJlCtavX4/79+/j/v37WLduHaZOnVqp3xch+ibhXLIg8x/pmr+3vo2BE3zx5+7hSj+nZXc3nNz5rsrHtOZwYMnW1drdx+W7FX3h7szdbPYVNXAxx4o/ByP0+x74cdbrGjmGgVlpa417U/UnO7ZoYA57a+UTRHmJ9vx4NTAQ491PFS/VSySKX80SYwkmjfJR2GbuZAb3BpVbmon2U+knwrRp0/D06VN8/PHHKCwsHaJqbGyMGTNmYObMmZwGSIg2kMmUX4aJT827NkD8qUfwaF97K5G1hXqtIzX2O6lCQEdXBHR0rdNzvFrZ13lUaqEGkuDCgmIUqTmr+9+7NTtC7atJHTVa/6R3S1tVb9/P0Ej9V65OwqET9zFuqBcszX9Qq64+g+o2N5hXe56WvREBYABrp5pHthq+0jplaWXMPhcADLRw8ApRnUotXiKRCD/++CPS09Nx5swZXL58Gc+ePcPs2bO5jo8QTolUmHhZ5mqOX77txX0wSrJvWv2EsDeOf4CTFyfgv5jaW5rNTQ1xIHqsynF8Eay5L/qWr7nC1cceoRPb1+l5Bc/y8Twxk/N45BwsTB135B4AgNHxRa41paWHDT4b0xYys8qtlGaqLiiupJCPuJlXzdi4vO3CxKRyO8Yf/wzH4I/a4u8tQ+tc95CPhFtHl2iWWheBzc3N0aFDB7Ru3RpSad2b+I8fP44BAwbAxcUFIpEIu3fvVtj//vvvQyQSKdz69FGc/PLZs2cYNWoUZDIZrKysMH78eGRnZyuUuXLlCl577TUYGxvDzc0NCxYsqBTLjh070KJFCxgbG8Pb2xsHDhyo8/mQmrVuUbf1/DQxn857A+veKT1kame09Kh8OURqJUU7L82uUSg2ksDErPovIbG4tP+UgZLz7vTt3kjlOXoG9Wqi0vOUceP4eDyI+xhd1FiAd0ifyvMyccnaw7JO5SVGpSM5p3+l+YEFfKvYqVvK8aS0G3YNg7mOtPBMm9geHfo1QZdBzfDRu5WXgXpvQAvsXPmWWu/r+iYruwCF1awJqy8E7X2Xk5MDHx8fhIeHV1umT58+SE5OZm9//qk4b8uoUaNw/fp1REZGYt++fTh+/DgmTpzI7s/KykLv3r3h7u6O2NhY/PTTT5g7dy5+++03tszp06cxYsQIjB8/HpcuXcKgQYMwaNAgXLtGo0I4IxZhdkinOj0l5dYnMHPirmOvXVNreLhW/+VZ1TQJ1REZipGR8gWsdHCy2pEhfpBaS/HmB9rfQV9Zzl62pQmoRAzJy5YH91qWjuJLWy+H2gtVQ2otxbAgbiau5VKrJjYY/kl7+AQ2wrdfc7N4d5mxg7w4rU+T3J0tcG7/ezi1a0SVLXdEeWX9ZgcHbkJxjn4nXoIOA+nbty/69u1bYxmpVAonp6r7r9y8eRMRERE4f/482rcvvUSxbNky9OvXDz///DNcXFywefNmFBYWYt26dTAyMkKrVq0QFxeHRYsWsQna0qVL0adPH0ybNg0AMH/+fERGRuLXX3/Vq3nJmKoWT+OJuUPdEygDAzFMzI2QA24XXre1NIZYKoG8oATuja1hZ1P32CRSCa/Lz3Bp0+J+2LS4n9BhaISBgRhxVz5C1OkHGP923Rei1gYZWeXz892//SkcbbVzVOHWX/oDAPILlJ+/SiivzrZflRIeVlMgBBC4xUsZx44dg4ODA5o3b47Jkyfj6dOn7L6YmBhYWVmxSRcABAYGQiwW4+zZs2yZ7t27w8iovHN0UFAQ4uPj8fz5c7ZMYGCgwnGDgoIQExNTbVwFBQXIyspSuGkDsxouS1kKOCxcromFX1VkamyIK9c/xpodQxHxx1B88p5P7U8SiJwW8a6z1p52+GxMW525XPWq4R/tZe8bSLT+I7paTs3UH61YFd8WdnBsUbe63xldoXVXLEKH1o6VynwYUrclpQi3LPRsaa2aaPX/6j59+uD3339HVFQUfvzxR0RHR6Nv374oKSn9MkpJSYGDg2IzvoGBAWxsbJCSksKWcXRU/E9W9ri2MmX7qxIWFgZLS0v25ubmpt7JcqBxR2fMmFj9h8eCMH47iLu7lV/Wy03lttVKXa2a2GD8261hZFjacrVw/QChQ2J5t9RsvzF9YGKsm0mVMjIzSlu8DMwMYauhebo0TWotxemI0Rqp28hQgpSbn+CX3wcq/ZzV378BhpmDkxcn4NadT6pc3eO1CgvBE/4lXJsMUxWujOgirU683n33Xbz11lvw9vbGoEGDsG/fPpw/fx7Hjh0TOjTMnDkTmZmZ7O3BgwdCh4TVv/TTqssS4XN7Ch2C0t7o0lDoEFi6MDmq0IYEaq6jv7AY3DnzGAAwfIIvr0cuzuXukmH7AHeV5piSWmm2n1TXti5o7qEdff+IIntrU9yIm1QvWr60OvF6VePGjWFnZ4c7d0oXgHZyckJamuJ6VMXFxXj27BnbL8zJyQmpqYrL65Q9rq1MdX3LgNK+ZzKZTOGmTX7dNAhvvNcaLbrVbR4lLik70o5UZmihnfOGaQsDAzF832gkdBickxeW9zMyNeX3PcBUmFS0Wyd+PzdmL+2N5l0b4Kdf+tRemOgtd2cLvPGW9g0m4ZpOfTM+fPgQT58+ZdeJ9Pf3R0ZGBmJjY9kyR44cgVwuR6dOndgyx48fR1FR+SiJyMhING/eHNbW1myZqKgohWNFRkbC37/65Ri0XfAoHxz6YyjcG1sJHYpOsKuwRAohrzKyrFsStHj9RbWHsnz9sWYnSK1J2eSpfPnmU3/cOvkhPhnty+txKxKJdOrrkOgwQd9p2dnZiIuLQ1xcHAAgMTERcXFxSEpKQnZ2NqZNm4YzZ87g3r17iIqKwsCBA+Hp6YmgoCAAQMuWLdGnTx9MmDAB586dw6lTpxASEoJ3332XXTNy5MiRMDIywvjx43H9+nVs27YNS5cuRWho+Zpun332GSIiIrBw4ULcunULc+fOxYULFxASEsL734QIw9nODBt3v4OQud3xOP0LocMhWmT4J+1x8FDd+ist/V80StS4dCdzNdea5WCMjSVCh8CLft3dhQ5BI75aGIh2fTyEDkNpb7/ZHAZmBjCxM8GAnroTd10IOh7+woUL6NGjB/u4LBkaO3YsVqxYgStXrmDjxo3IyMiAi4sLevfujfnz5ytM1rp582aEhISgV69eEIvFGDp0KH755Rd2v6WlJQ4dOoTg4GD4+fnBzs4Os2fPVpjrq0uXLtiyZQtmzZqFr776Ck2bNsXu3bvRurVuDkfXJR3bOEJsJIG8sASdqlgElk9jBrbEmIEtBY1BFxU8y6+9kA5bOqeHVvWd5JubowWkVlIUZBQIHQqnfFvawdjGGPnP8zH9x546Oz1Mbfr3bIyGDWSYFJEodChKGdG/OUZkfy10GBol6DstICAATA3TDBw8eLDWOmxsbLBly5Yay7Rp0wYnTpyoscywYcMwbNiwWo+naxztzdj7jbTkF3RFHq6WePhoKp5m5KG1Z+WRRqryae2A2t89hCvOFUYj2dmZ1VCS6KL+73ph50rtXjS8rmRmUjx//Dle5BbWaYFtXXD+aioYNeYle/MNT+xedwUGJhIUZqq3ZimpTD9TfMJaOqcH7GxN0chVhq5tXYQOp0rOdmZw5vjL+sdpr2FAzyawsjSCd9PqV0YgqjEwM1SYXdrN0QKb9g7HpevpmDGRm3XwCNE0Y6mB1rZ0SSrM4VbXVuWvvi1vaHC0McHVOh573BAvjMhqBgOJGIbSbwFab5RT1JtQz1lZSLFwZndBO60KpZufCzzdrIQOo94Y9WYL/DzjNb1rPVCWxECEwJG6s9wNqZ2dk3Ctt5+Nb6fyc/PzS38UWTWUoUlDK5XqMJYaVBqZztDk/pygxKuea+Bswd5v0shKuEB0TMWh94SUidw8rM6LaRPttXyhcNNbqHOFoqwHT4fuHMxPWKG1y8RW+Ql9o26m1V6ontLONlbCm+9Cu8DW2hg2VsYYEKCfI0i4Yl+hg3VJnvavT0dIbXq+q9xgkoCuDbHztziIjcTo0Vm4uQHrM98WyveBvXrkPmfHbdHNFbdOPgTEIty8NEnp56W90K/BGFyixKueM5Ya4KtJws0XVBtDKXdD2SUGtS+UW5NvPvPHoq+OchSN8swqTKYqNdLdof3KLFRM+NOmlzui/nxHqbKfvOeLt/s0hYnUAFYW1c8u/yQ1h6vwyCuMDCUIGtMaB3+/VuX+BvaauSx688R4jdRbn9GlRqLVIv8Zyd63V2GRb2OpAToN8ISpoyk+VnFCyg4+pSsYmJsaQiThP3lYuagPug1pjpk/B9b4paftPh7tC7umtFyLMuTFmr+U7eZWt0uiznZmtb7/Hl97ok5IWsHEpLw9wlKHVpAQi8U4e0X5FikiHGrx0iNuTvq3xlWrJjZYs2Mort56gq+DVUuczuwZpfLxDc0NMahX+bqA5o5mePE4G2IeW566t2+AE3+/y9vxNKWbnwvS//sUHfr/gQsH7godjlbp6O2o8LjD6xpcO1QswsotgzFuCDcDAQwkYkiMJSjJL+GkPqH9OOt1hGQXoYmnNfy8HASJwbu1vUrP6+jtCHMXM2Q/ppZHbUaJlx5o2d0NM6Z2RlN3K6FD0Yjxbws3ka2pjWJn0j+3DMHSNRfx3tuaHb3m0MgSj66mQ2JK/0W1ham5EZ5rqG5jqQF6veuFqK03AADBH7TV0JEAqaURPhruzVl9BgZixMZ9BN8WyzmrU0gdWjvi7D7Vf6xx4Zf/9ai9ENFZ9KmuB8a8542xg2gYO5fMnEyRk5ILn46KI4v6v+6B/q9rfhBC5D/v4pf1lzCsf3ONH4so55eFQZj7wwn06ukBsVgHe2mIADCAtQZaxn2a28PawxLPEzM5r7u+EXPYr5VoJ0q8CKnC4zuf4uL1dHRvL8yksy09bLBiXi9Bjk2qNuSNJhjyRpPaC2qpjbvewc79/2Ha5A5Ch0Je4eZSPq2PvKD8kq2VuwwZ97Ng7kKrQegTHfzZRojmycykCOjoqpstG4RUYczAltj920CtXcGiPpvzSecqt58+OhbTfuyJmOj3+Q2IaBS1eBFCCGEZWenuyFldZWQogUgiqjQxc0sPGyyY/ppAURFNoZ/zhBCVtA4oHXnXrEsDgSMB5AytJKCuWYvfQJNOLvhxcZDQoRCi16jFixCikstRY3EzMQMtPawEOb6vrxPiIu8BAAZreJRpfTB/ShfMn9JF6DAI0XuUeBFCVCIWi9GqiY1gx1+/IAifjmuHRg0sYC1Tfg05LlFDGyGkruhSI+GFyJDeaoR7bVvaC5Z0AcD06dRCRIRRUiyventR1duJ9qBvQ6JRo6Z0gIWLOT6aQV9QRP+81oHfBaNlrqVzcJk61H35LE1j5NT8x6epM7tWuX3ip9q79i4pRYkX0ahNi/sh69HnWDGf5qQiuiP+Ygpndbm5cDdh6bFDYzDpf91w9PAYzurkSjPv6pfXMTAr7dXiJFB/QF3QtFPpNB92nlZKlfdqZlvldv92NF2ItqM+XoQQ8pLo5RroBc8L2G0mxqrPJG7lLkNrTzt1w2K1bWmvtRPrzvuyG/rsu1PlvuiTH2D3oTsIHuXDc1S64+qxcYg4eR89O7kJHQrRMEq8CCHkJdMW1sg8ncw+bujrAJmZ6vNatWrnxEVYOq+LrzO6+DoLHYZWMzKU4K0ejYUOg/CALjUSQshLRvamkJgbso9fC3Cvcx3yajo967uubV1g2dACEhMDDHmL1hglpUqo718llHgRQng1oG8zvR7lOnp8W6FDEIS5qSEy7oeiOPdrhL7fTuPH825efgm3aWNrjR+PEK7o76cfIUQrzQ7pBHnh/7R24d+S7CL2vlhS80ekibS8/5eBQen9NwPpchEfAjq6IuLk+9iy713Mn+IvdDiEKI36eBFCSDVCxtbceuXdzA693vXCnf+eYtbnNGUK34K61v1SMCFCo8SLEEKq0dHbsdYyh/8cxkMkhBB9QZcaCSGEEEJ4QokXIYQQQghPKPEihBAt4N26dOZ3kYEI7byqnwWeEKLbqI8XIUQQVnamyH6cI3QYWmPx169jcJAnGjiYwcPVUuhwCCEaQokXIUQQm9cOxHdLz+DNoCZCh6I1urdvIHQIRA819yif58zdTSZgJASgxIsQIpDu7Rug+x9DhQ6DEL0X0NEV2/4dieS0bEwe0UbocOo9SrwIIYQQPWFqWr7klXGFCX7f6dNUiHBIFSjxIoTUmaEpfXQQwje3BuWXCZs1qnqZpP7d3fHGe62RlpKNbz7vyldopA7o05MQorRRUzrg4L7b+OSzzkKHQki9s2xOD7RsZgt3Fwt0aF315L5isRiH6BK+VqPEixCitE2L+wGLhY6CkPrJWGrAywLkRLMEncfr+PHjGDBgAFxcXCASibB7926F/QzDYPbs2XB2doaJiQkCAwNx+/ZthTLPnj3DqFGjIJPJYGVlhfHjxyM7O1uhzJUrV/Daa6/B2NgYbm5uWLBgQaVYduzYgRYtWsDY2Bje3t44cOAA5+dLCCGEkPpN0MQrJycHPj4+CA8Pr3L/ggUL8Msvv2DlypU4e/YszMzMEBQUhPz8fLbMqFGjcP36dURGRmLfvn04fvw4Jk6cyO7PyspC79694e7ujtjYWPz000+YO3cufvvtN7bM6dOnMWLECIwfPx6XLl3CoEGDMGjQIFy7dk1zJ08IIYSQekfQS419+/ZF3759q9zHMAyWLFmCWbNmYeDAgQCA33//HY6Ojti9ezfeffdd3Lx5ExERETh//jzat28PAFi2bBn69euHn3/+GS4uLti8eTMKCwuxbt06GBkZoVWrVoiLi8OiRYvYBG3p0qXo06cPpk2bBgCYP38+IiMj8euvv2LlypU8/CUIIUKSGnD3G9RAImLvi8WiGkoSQuojrV0yKDExESkpKQgMDGS3WVpaolOnToiJiQEAxMTEwMrKik26ACAwMBBisRhnz55ly3Tv3h1GRkZsmaCgIMTHx+P58+dsmYrHKStTdpyqFBQUICsrS+FGCNFNPVs44ANJCiZKktWu6/X2rmjRzRW2TazwyQQ/DqIjhOgTre1cn5KSAgBwdFQcueHo6MjuS0lJgYOD4ppmBgYGsLGxUSjj4eFRqY6yfdbW1khJSanxOFUJCwvDN998o8KZEUK0jYWxIWYbPgAAfA31WqkMDMS4eWI8F2ERQvSQ1rZ4abuZM2ciMzOTvT148EDokAghHBIb0ccjIYR7WvvJ4uTkBABITU1V2J6amsruc3JyQlpamsL+4uJiPHv2TKFMVXVUPEZ1Zcr2V0UqlUImkyncCCG6742RrWBoYYThk+kyISGEe1qbeHl4eMDJyQlRUVHstqysLJw9exb+/v4AAH9/f2RkZCA2NpYtc+TIEcjlcnTq1Iktc/z4cRQVFbFlIiMj0bx5c1hbW7NlKh6nrEzZcQgh9cehzW+jMGsmtizpJ3QohBA9JGjilZ2djbi4OMTFxQEo7VAfFxeHpKQkiEQiTJkyBd9++y327NmDq1evYsyYMXBxccGgQYMAAC1btkSfPn0wYcIEnDt3DqdOnUJISAjeffdduLi4AABGjhwJIyMjjB8/HtevX8e2bduwdOlShIaGsnF89tlniIiIwMKFC3Hr1i3MnTsXFy5cQEhICN9/EkIIIYToMUE711+4cAE9evRgH5clQ2PHjsWGDRswffp05OTkYOLEicjIyEC3bt0QEREBY2Nj9jmbN29GSEgIevXqBbFYjKFDh+KXX35h91taWuLQoUMIDg6Gn58f7OzsMHv2bIW5vrp06YItW7Zg1qxZ+Oqrr9C0aVPs3r0brVu35uGvQAghhJD6QtDEKyAgAAzDVLtfJBJh3rx5mDdvXrVlbGxssGXLlhqP06ZNG5w4caLGMsOGDcOwYcNqDpgQQgghRA1a28eLEEIIIUTfUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE+0OvGaO3cuRCKRwq1Fixbs/vz8fAQHB8PW1hbm5uYYOnQoUlNTFepISkpC//79YWpqCgcHB0ybNg3FxcUKZY4dO4Z27dpBKpXC09MTGzZs4OP0CCGEEFLPaHXiBQCtWrVCcnIyezt58iS7b+rUqdi7dy927NiB6OhoPH78GEOGDGH3l5SUoH///igsLMTp06exceNGbNiwAbNnz2bLJCYmon///ujRowfi4uIwZcoUfPjhhzh48CCv50kIIYQQ/WcgdAC1MTAwgJOTU6XtmZmZWLt2LbZs2YKePXsCANavX4+WLVvizJkz6Ny5Mw4dOoQbN27g8OHDcHR0hK+vL+bPn48ZM2Zg7ty5MDIywsqVK+Hh4YGFCxcCAFq2bImTJ09i8eLFCAoKqjaugoICFBQUsI+zsrI4PnNCCCGE6Butb/G6ffs2XFxc0LhxY4waNQpJSUkAgNjYWBQVFSEwMJAt26JFCzRs2BAxMTEAgJiYGHh7e8PR0ZEtExQUhKysLFy/fp0tU7GOsjJldVQnLCwMlpaW7M3NzY2T8yWEEEKI/tLqxKtTp07YsGEDIiIisGLFCiQmJuK1117DixcvkJKSAiMjI1hZWSk8x9HRESkpKQCAlJQUhaSrbH/ZvprKZGVlIS8vr9rYZs6ciczMTPb24MEDdU+XEEIIIXpOqy819u3bl73fpk0bdOrUCe7u7ti+fTtMTEwEjAyQSqWQSqWCxkAIIYQQ3aLVLV6vsrKyQrNmzXDnzh04OTmhsLAQGRkZCmVSU1PZPmFOTk6VRjmWPa6tjEwmEzy5I4QQQoh+0anEKzs7GwkJCXB2doafnx8MDQ0RFRXF7o+Pj0dSUhL8/f0BAP7+/rh69SrS0tLYMpGRkZDJZPDy8mLLVKyjrExZHYQQQgghXNHqxOuLL75AdHQ07t27h9OnT2Pw4MGQSCQYMWIELC0tMX78eISGhuLo0aOIjY3FuHHj4O/vj86dOwMAevfuDS8vL4wePRqXL1/GwYMHMWvWLAQHB7OXCSdNmoS7d+9i+vTpuHXrFpYvX47t27dj6tSpQp46IYQQQvSQVvfxevjwIUaMGIGnT5/C3t4e3bp1w5kzZ2Bvbw8AWLx4McRiMYYOHYqCggIEBQVh+fLl7PMlEgn27duHyZMnw9/fH2ZmZhg7dizmzZvHlvHw8MD+/fsxdepULF26FK6urlizZk2NU0kQQgghhKhCqxOvrVu31rjf2NgY4eHhCA8Pr7aMu7s7Dhw4UGM9AQEBuHTpkkoxEkIIIaRUQHN77I5JQJZ2pxeC0upLjYQQQgjRHT1bOOKK8SW0cLIQOhStRYkXIYQQQghPKPEihBBCCKfebOMMAPBvbCtwJNqHEi9CCCGEcCqkZ1Ncll7ElgmdhA5F61DvN0IIIYRwzlJUAohEQoehdajFixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgjRao9zREKHwBlKvAghhBCileQlDABga2S2wJFwhxIvQgghhGilPm81AwCIDKjFixBCCCFEo0LGthU6BM5R4kUIIYQQwhNKvAghhBBCeEKJFyGEEEIITyjxekV4eDgaNWoEY2NjdOrUCefOnRM6JEIIIYToCUq8Kti2bRtCQ0MxZ84cXLx4ET4+PggKCkJaWprQoSl48qxY6BAIIYQQogIDoQPQJosWLcKECRMwbtw4AMDKlSuxf/9+rFu3Dl9++WWtzxebN8b5DCnMjAw1FuOJdEPkPstT2OZsb6ax4xFCCCGCY4AzzzXz3ZpTqJFqq0WJ10uFhYWIjY3FzJkz2W1isRiBgYGIiYmpVL6goAAFBQXs46ysLMizxyBwJQBoskWqct2j32qhweMRQgghwmJKGPj/oqnvVn7nCKNLjS89efIEJSUlcHR0VNju6OiIlJSUSuXDwsJgaWnJ3tzc3CCSiCAy4OFmWPqyiaViTPk2AGIxvYyEEEL0j28LO9i5mWj8e5VP1OKlopkzZyI0NJR9nJWVBTc3N2R++SVkUqnmA5g7t/T29euaPxYhhBAiACNDCdI/yNXoMbIKCmD5g0YPoYASr5fs7OwgkUiQmpqqsD01NRVOTk6VykulUkj5SLAIIYQQojfoGtVLRkZG8PPzQ1RUFLtNLpcjKioK/v7+AkZGCCGEEH1BLV4VhIaGYuzYsWjfvj06duyIJUuWICcnhx3lSAghhBCiDkq8Khg+fDjS09Mxe/ZspKSkwNfXFxEREZU63BNCCCGEqIISr1eEhIQgJCRE6DAIIYQQooeojxchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE9o5nqOMAwDAMgqKODngFlZQEFB6b984ft4hPCp7P8uvccJUU/ZdwVX3xka/l4t+94u+x7XNBHD15H03N27d9GkSROhwyCEEEKIChISEtC4cWONH4davDhiY2MDAEhKSoKlpaXA0fAnKysLbm5uePDgAWQymdDh8IbOm867PqDzpvOuDzIzM9GwYUP2e1zTKPHiiFhc2l3O0tKyXr1hy8hkMjrveoTOu36h865f6ut5l32Pa/w4vByFEEIIIYRQ4kUIIYQQwhdKvDgilUoxZ84cSKVSoUPhFZ03nXd9QOdN510f0Hnzc940qpEQQgghhCfU4kUIIYQQwhNKvAghhBBCeEKJFyGEEEIITyjxIoQQQgjhCSVeFYSFhaFDhw6wsLCAg4MDBg0ahPj4+ErlYmJi0LNnT5iZmUEmk6F79+7Iy8tj9z979gyjRo2CTCaDlZUVxo8fj+zsbIU6rly5gtdeew3GxsZwc3PDggULNH5+1antvO/duweRSFTlbceOHWy5pKQk9O/fH6ampnBwcMC0adNQXFyscKxjx46hXbt2kEql8PT0xIYNG/g6zUqUeb1TUlIwevRoODk5wczMDO3atcPff/+tUEbfXm+gdOmMwYMHw97eHjKZDO+88w5SU1MVyujaea9YsQJt2rRhJ4f09/fHv//+y+7Pz89HcHAwbG1tYW5ujqFDh1Y6Z117jwO1n/dvv/2GgIAAyGQyiEQiZGRkVKpD115roObzfvbsGT755BM0b94cJiYmaNiwIT799FNkZmYq1KGPr/dHH32EJk2awMTEBPb29hg4cCBu3bqlUIc+nncZhmHQt29fiEQi7N69W2Efb+fNEFZQUBCzfv165tq1a0xcXBzTr18/pmHDhkx2djZb5vTp04xMJmPCwsKYa9euMbdu3WK2bdvG5Ofns2X69OnD+Pj4MGfOnGFOnDjBeHp6MiNGjGD3Z2ZmMo6OjsyoUaOYa9euMX/++SdjYmLCrFq1itfzLVPbeRcXFzPJyckKt2+++YYxNzdnXrx4wZZp3bo1ExgYyFy6dIk5cOAAY2dnx8ycOZM9zt27dxlTU1MmNDSUuXHjBrNs2TJGIpEwERERWnneDMMwb7zxBtOhQwfm7NmzTEJCAjN//nxGLBYzFy9eZMvo2+udnZ3NNG7cmBk8eDBz5coV5sqVK8zAgQOZDh06MCUlJWw9unbee/bsYfbv38/8999/THx8PPPVV18xhoaGzLVr1xiGYZhJkyYxbm5uTFRUFHPhwgWmc+fOTJcuXdjn6+J7nGFqP+/FixczYWFhTFhYGAOAef78eaU6dO21Zpiaz/vq1avMkCFDmD179jB37txhoqKimKZNmzJDhw5ln6+vr/eqVauY6OhoJjExkYmNjWUGDBjAuLm5McXFxQzD6O95l1m0aBHTt29fBgCza9cudjuf502JVw3S0tIYAEx0dDS7rVOnTsysWbOqfc6NGzcYAMz58+fZbf/++y8jEomYR48eMQzDMMuXL2esra2ZgoICtsyMGTOY5s2ba+As6q6q836Vr68v88EHH7CPDxw4wIjFYiYlJYXdtmLFCkYmk7HnOX36dKZVq1YK9QwfPpwJCgri+AxUU9V5m5mZMb///rtCORsbG2b16tUMw+jn633w4EFGLBYzmZmZbJmMjAxGJBIxkZGRDMPox3kzDMNYW1sza9asYTIyMhhDQ0Nmx44d7L6bN28yAJiYmBiGYfTjPV6m7LwrOnr0aJWJl7681gxT9XmX2b59O2NkZMQUFRUxDKP/r3eZy5cvMwCYO3fuMAyj3+d96dIlpkGDBkxycnKlxIvP86ZLjTUoa3YuWzgzLS0NZ8+ehYODA7p06QJHR0e8/vrrOHnyJPucmJgYWFlZoX379uy2wMBAiMVinD17li3TvXt3GBkZsWWCgoIQHx+P58+f83FqNXr1vF8VGxuLuLg4jB8/nt0WExMDb29vODo6stuCgoKQlZWF69evs2UCAwMV6goKCkJMTAzXp6CSqs67S5cu2LZtG549ewa5XI6tW7ciPz8fAQEBAPTz9S4oKIBIJFKYTNDY2BhisZh9r+v6eZeUlGDr1q3IycmBv78/YmNjUVRUpPD+bNGiBRo2bMi+P/XhPf7qeStD119rQLnzzszMhEwmg4FB6RLG9eH1zsnJwfr16+Hh4QE3NzcA+nveubm5GDlyJMLDw+Hk5FTpOXyeNyVe1ZDL5ZgyZQq6du2K1q1bAwDu3r0LAJg7dy4mTJiAiIgItGvXDr169cLt27cBlPYJcnBwUKjLwMAANjY2SElJYctUfHEBsI/LygilqvN+1dq1a9GyZUt06dKF3abMOVVXJisrS6GPnBCqO+/t27ejqKgItra2kEql+Oijj7Br1y54enoC0M/Xu3PnzjAzM8OMGTOQm5uLnJwcfPHFFygpKUFycjIA3T3vq1evwtzcHFKpFJMmTcKuXbvg5eWFlJQUGBkZwcrKSqG8o6Njnc5HW9/j1Z23MnT1tQaUP+8nT55g/vz5mDhxIrtNn1/v5cuXw9zcHObm5vj3338RGRnJJs36et5Tp05Fly5dMHDgwCqfy+d5U+JVjeDgYFy7dg1bt25lt8nlcgClnRPHjRuHtm3bYvHixWjevDnWrVsnVKicquq8K8rLy8OWLVsUWrv0QXXn/b///Q8ZGRk4fPgwLly4gNDQULzzzju4evWqQJFyq6rztre3x44dO7B3716Ym5vD0tISGRkZaNeuHcRi3f7IaN68OeLi4nD27FlMnjwZY8eOxY0bN4QOS+PovKs/76ysLPTv3x9eXl6YO3euMIFyrLbzHjVqFC5duoTo6Gg0a9YM77zzDvLz8wWMmBvVnfeePXtw5MgRLFmyROgQAQAGQgegjUJCQrBv3z4cP34crq6u7HZnZ2cAqPSLqWXLlkhKSgIAODk5IS0tTWF/cXExnj17xjZvOjk5VRotVfa4qiZQvlR33hX99ddfyM3NxZgxYxS2Ozk54dy5cwrbXj2n6s5bJpPBxMSEq9Oos+rOOyEhAb/++iuuXbuGVq1aAQB8fHxw4sQJhIeHY+XKlXr7evfu3RsJCQl48uQJDAwMYGVlBScnJzRu3BiA7r7PjYyM2NZKPz8/nD9/HkuXLsXw4cNRWFiIjIwMhVav1NRUhfPR1fd4dee9atWqWp+rq681UPt5v3jxAn369IGFhQV27doFQ0ND9rn6/HpbWlrC0tISTZs2RefOnWFtbY1du3ZhxIgRenneJiYmSEhIqNSiPXToULz22ms4duwYr+et2z9fOcYwDEJCQrBr1y4cOXIEHh4eCvsbNWoEFxeXSkPv//vvP7i7uwMA/P39kZGRgdjYWHb/kSNHIJfL0alTJ7bM8ePHUVRUxJaJjIxE8+bNYW1tranTq1Zt513R2rVr8dZbb8He3l5hu7+/P65evarwAR0ZGQmZTMYmqv7+/oiKilJ4XmRkpNJ9TbhW23nn5uYCQKVWHolEwrZ+6vvrbWdnBysrKxw5cgRpaWl46623AOjmeVdFLpejoKAAfn5+MDQ0VHh/xsfHIykpiX1/6uJ7vDpl560MfXmtAcXzzsrKQu/evWFkZIQ9e/bA2NhYoWx9eb2Z0kF27H59PO8vv/wSV65cQVxcHHsDgMWLF2P9+vUAeD7vOnXF13OTJ09mLC0tmWPHjilMnZCbm8uWWbx4MSOTyZgdO3Ywt2/fZmbNmsUYGxuzI0IYpnToddu2bZmzZ88yJ0+eZJo2baow9DojI4NxdHRkRo8ezVy7do3ZunUrY2pqKtjQa2XOm2EY5vbt24xIJGL+/fffSnWUDcXt3bs3ExcXx0RERDD29vZVDsWdNm0ac/PmTSY8PFzQIci1nXdhYSHj6enJvPbaa8zZs2eZO3fuMD///DMjEomY/fv3s/Xo4+u9bt06JiYmhrlz5w7zxx9/MDY2NkxoaKhCPbp23l9++SU7jP7KlSvMl19+yYhEIubQoUMMw5ROJ9GwYUPmyJEjzIULFxh/f3/G39+ffb4uvscZpvbzTk5OZi5dusSsXr2aAcAcP36cuXTpEvP06VO2Dl17rRmm5vPOzMxkOnXqxHh7ezN37txR+H/w6rQK+vR6JyQkMN9//z1z4cIF5v79+8ypU6eYAQMGMDY2NkxqairDMPp53lVBNdNJ8HHelHhVAKDK2/r16xXKhYWFMa6uroypqSnj7+/PnDhxQmH/06dPmREjRjDm5uaMTCZjxo0bx853Veby5ctMt27dGKlUyjRo0ID54YcfNH161VL2vGfOnMm4ubkpzOVU0b1795i+ffsyJiYmjJ2dHfP555+zQ7PLHD16lPH19WWMjIyYxo0bVzoGn5Q57//++48ZMmQI4+DgwJiamjJt2rSpNL2EPr7eM2bMYBwdHRlDQ0OmadOmzMKFCxm5XK5Qj66d9wcffMC4u7szRkZGjL29PdOrVy+FD+W8vDzm448/ZqytrRlTU1Nm8ODBTHJyskIduvYeZ5jaz3vOnDm1vh907bVmmJrPu2zqjKpuiYmJbB369no/evSI6du3L+Pg4MAYGhoyrq6uzMiRI5lbt24p1KFv512VVxMvhuHvvEUvAyCEEEIIIRpGfbwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTwhBIvQgghhBCeUOJFCCGE1GPfffcdunTpAlNT00rrGVZn7ty5aNGiBczMzGBtbY3AwECcPXtWocxbb72Fhg0bwtjYGM7Ozhg9ejQeP37M7s/Pz8f7778Pb29vGBgYYNCgQZWOk5ycjJEjR6JZs2YQi8WYMmWKSuf433//YeDAgbCzs4NMJkO3bt1w9OhRlepSFyVehBC99f7771f5Yc6X0aNH4/vvv1eq7LvvvouFCxdqOCJSXwUEBGDDhg1V7issLMSwYcMwefJkpetr1qwZfv31V1y9ehUnT55Eo0aN0Lt3b6Snp7NlevToge3btyM+Ph5///03EhIS8Pbbb7P7S0pKYGJigk8//RSBgYFVHqegoAD29vaYNWsWfHx8lI7vVW+++SaKi4tx5MgRxMbGwsfHB2+++SZSUlJUrlNldZ7rnhBCtACqWfKl7DZnzhwmIyODef78uSDxxcXFMTY2NpWW1qnO1atXGWtrayYjI0PDkZH66PXXX691eZv169czlpaWKtWfmZnJAGAOHz5cbZl//vmHEYlETGFhYaV9Y8eOZQYOHFjjMV5//XXms88+q3Lf6tWrmRYtWjBSqZRp3rw5Ex4ezu5LT09n1yEtk5WVxQBgIiMjaz4xDTDgP9UjhBD1JScns/e3bduG2bNnIz4+nt1mbm4Oc3NzIUIDACxbtgzDhg1TOobWrVujSZMm2LRpE4KDgzUcHSHcKSwsxG+//QZLS8tqW6WePXuGzZs3o0uXLjA0NOT0+Js3b8bs2bPx66+/om3btrh06RImTJgAMzMzjB07Fra2tmjevDl+//13tGvXDlKpFKtWrYKDgwP8/Pw4jUUZdKmREKKTnJyc2JulpSVEIpHCNnNz80qXGgMCAvDJJ59gypQpsLa2hqOjI1avXo2cnByMGzcOFhYW8PT0xL///qtwrGvXrqFv374wNzeHo6MjRo8ejSdPnlQbW0lJCf766y8MGDBAYfvy5cvRtGlTGBsbw9HRUeGyCwAMGDAAW7duVf+PQwgP9u3bB3NzcxgbG2Px4sWIjIyEnZ2dQpkZM2bAzMwMtra2SEpKwj///MN5HHPmzMHChQsxZMgQeHh4YMiQIZg6dSpWrVoFABCJRDh8+DAuXboECwsLGBsbY9GiRYiIiIC1tTXn8dSGEi9CSL2yceNG2NnZ4dy5c/jkk08wefJkDBs2DF26dMHFixfRu3dvjB49Grm5uQCAjIwM9OzZE23btsWFCxcQERGB1NRUvPPOO9Ue48qVK8jMzET79u3ZbRcuXMCnn36KefPmIT4+HhEREejevbvC8zp27Ihz586hoKBAMydP6o3vv/+ebfU1NzfHiRMnMGnSJIVtSUlJah2jR48eiIuLw+nTp9GnTx+88847SEtLUygzbdo0XLp0CYcOHYJEIsGYMWPAMIxax60oJycHCQkJGD9+vMK5ffvtt0hISAAAMAyD4OBgODg44MSJEzh37hwGDRqEAQMGKLSc84b3i5uEEMKx6vqmvNpv5PXXX2e6devGPi4uLmbMzMyY0aNHs9uSk5MZAExMTAzDMAwzf/58pnfv3gr1PnjwgAHAxMfHVxnPrl27GIlEwsjlcnbb33//zchkMiYrK6va87h8+TIDgLl3716N50tIbZ4+fcrcvn2bvXXs2JH58ccfFbYVFRUpPEedPl4MwzCenp7M999/X+3+sv83p0+frrRP1T5eKSkpDABm06ZNCud2+/Zt5u7duwzDMMzhw4cZsVjMZGZmVoo3LCxMuZPjEPXxIoTUK23atGHvSyQS2Nrawtvbm93m6OgIAOwv98uXL+Po0aNV9tVKSEhAs2bNKm3Py8uDVCqFSCRit73xxhtwd3dH48aN0adPH/Tp0weDBw+GqakpW8bExAQA2NY2QlRlY2MDGxsb9rGJiQkcHBzg6empsWPK5fIaW2vlcjkAcNqi6+joCBcXF9y9exejRo2qskzZ/yexWPEin1gsZmPiEyVehJB65dWOvSKRSGFbWbJU9oGcnZ2NAQMG4Mcff6xUl7Ozc5XHsLOzQ25uLgoLC2FkZAQAsLCwwMWLF3Hs2DEcOnQIs2fPxty5c3H+/Hl27qRnz54BAOzt7dU7SULqICkpCc+ePUNSUhJKSkoQFxcHAPD09GR/cLRo0QJhYWEYPHgwcnJy8N133+Gtt96Cs7Mznjx5gvDwcDx69AjDhg0DAJw9exbnz59Ht27dYG1tjYSEBPzvf/9DkyZN4O/vzx77xo0bKCwsxLNnz/DixQv22L6+vmyZsm3Z2dlIT09HXFwcjIyM4OXlBQD45ptv8Omnn8LS0hJ9+vRBQUEBLly4gOfPnyM0NBT+/v6wtrbG2LFjMXv2bJiYmGD16tVITExE//79NfvHrQIlXoQQUoN27drh77//RqNGjWBgoNxHZtmXxo0bNxS+QAwMDBAYGIjAwEDMmTMHVlZWOHLkCIYMGQKgtBO/q6trpQ7KhGjS7NmzsXHjRvZx27ZtAQBHjx5FQEAAACA+Ph6ZmZkASluKb926hY0bN+LJkyewtbVFhw4dcOLECbRq1QoAYGpqip07d2LOnDnIycmBs7Mz+vTpg1mzZkEqlbLH6tevH+7fv1/p2EyFfmBl2wAgNjYWW7Zsgbu7O+7duwcA+PDDD2FqaoqffvoJ06ZNg5mZGby9vdnJVu3s7BAREYGvv/4aPXv2RFFREVq1aoV//vlHrbnBVEWJFyGE1CA4OBirV6/GiBEjMH36dNjY2ODOnTvYunUr1qxZA4lEUuk59vb2aNeuHU6ePMkmXvv27cPdu3fRvXt3WFtb48CBA5DL5WjevDn7vBMnTqB37958nRqpR44dO1btvg0bNlQ7uWqZiomQsbExdu7cWWN5b29vHDlypNa4ypInZY9dnZEjR2LkyJHV7m/fvj0OHjxYaz18oFGNhBBSAxcXF5w6dQolJSXo3bs3+0vaysqqUp+Rij788ENs3ryZfWxlZYWdO3eiZ8+eaNmyJVauXIk///yTbSHIz8/H7t27MWHCBI2fEyFEOCJGmVSSEEJIneTl5aF58+bYtm2bQp+W6qxYsQK7du3CoUOHeIiOECIUavEihBANMDExwe+//17jRKsVGRoaYtmyZRqOihAiNGrxIoQQQgjhCbV4EUIIIYTwhBIvQgghhBCeUOJFCCGEEMITSrwIIYQQQnhCiRchhBBCCE8o8SKEEEII4QklXoQQQgghPKHEixBCCCGEJ5R4EUIIIYTw5P+oe0g2WCE8+gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc_raw.plot(axis_limits=[1.331126e8, 1.331134e8, None, None])\n", "ax.plot(lc_filled.time, lc_filled.counts, color=\"navy\", drawstyle=\"steps-mid\", zorder=20)" ] }, { "cell_type": "markdown", "id": "cbfb45d0", "metadata": { "id": "cbfb45d0" }, "source": [ "The light curve seems reasonably clean, with no need for further cleaning. Otherwise, we would have to filter out, e.g. flares or intervals with zero counts, doing something along the lines of:\n", "\n", "```\n", "new_gti = create_gti_from_condition(lc_raw.time, lc_raw.counts > 0, safe_interval=1)\n", "lc = copy.deepcopy(lc_raw)\n", "lc.gti = new_gti\n", "lc.apply_gtis()\n", "\n", "plt.figure()\n", "plt.plot(lc_raw.time, lc_raw.counts, color=\"grey\", alpha=0.5, label=\"Raw\")\n", "plt.plot(lc.time, lc.counts, color=\"k\", label=\"Cleaned\")\n", "plt.title(\"Light curve\")\n", "plt.xlabel(f\"Time (s from {events.mjdref})\")\n", "plt.ylabel(f\"Counts/bin\")\n", "plt.legend();\n", "\n", "events.gti = new_gti\n", "```" ] }, { "cell_type": "code", "execution_count": 8, "id": "05aee649", "metadata": {}, "outputs": [], "source": [ "events = ev_filled" ] }, { "cell_type": "markdown", "id": "53598bba", "metadata": {}, "source": [ "## Hardness-intensity diagram\n", "\n", "Just for the sake of consistency, we verify that the hardness-intensity diagram of the source tells the same story as the analysis done by Wang+2021. This observation was marked as Epoch 0 there, well into the hard state" ] }, { "cell_type": "code", "execution_count": 9, "id": "d5e09beb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NICER was using 52 detectors\n" ] } ], "source": [ "ndet = len(set(events.det_id))\n", "print(f\"NICER was using {ndet} detectors\")" ] }, { "cell_type": "code", "execution_count": 10, "id": "5ab316f8", "metadata": {}, "outputs": [], "source": [ "# Using the same intervals as the Wang+ paper.\n", "# We use a segment size of 256 seconds, but we could make different choices depending\n", "# on the quality of the dataset and the count rate.\n", "\n", "h_starts, h_stops, colors, color_errs = events.get_color_evolution(\n", " energy_ranges=[[2, 4], [4, 12]], segment_size=256\n", ")\n", "i_starts, i_stops, intensity, intensity_errs = events.get_intensity_evolution(\n", " energy_range=[0.4, 12], segment_size=256\n", ")" ] }, { "cell_type": "markdown", "id": "054ca77b", "metadata": {}, "source": [ "We compare the colors with the hardness-intensity diagram from [Wang et al. 2021](https://ui.adsabs.harvard.edu/abs/2021ApJ...910L...3W/abstract). The grey and red data plotted here were kindly provided by Jingyi Wang. The red dots indicate the points in the Wang plot corresponding to this observation. The difference in scatter is probably due to slightly different intervals being used in the analysis. Epoch 0 data are rescaled for 50 PCUs (as different observations had different number of working PCUs), while our data and the input data set from the complete outburst are rescaled to 52. We rescale everything to 50 for consistency with Wang+2021\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "03c5f5eb", "metadata": {}, "outputs": [], "source": [ "wang_data = Table.read(\"wang_data.csv\", names=[\"H\", \"I\"])\n", "epoch0_wang_data = Table.read(\"epoch_0_data.csv\", names=[\"H\", \"I\"])\n", "\n", "epoch_zero_i = epoch0_wang_data[\"I\"]\n", "epoch_zero_h = epoch0_wang_data[\"H\"]" ] }, { "cell_type": "code", "execution_count": 12, "id": "e2cf5fce", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "(plotline, _, _) = ax.errorbar(\n", " colors,\n", " intensity / ndet * 50,\n", " yerr=intensity_errs / ndet * 50,\n", " xerr=color_errs,\n", " fmt=\"o\",\n", " color=\"b\",\n", " alpha=0.5,\n", " markersize=7,\n", " label=\"Stingray analysis\",\n", " zorder=10,\n", ")\n", "plotline.set_markerfacecolor(\"none\")\n", "plotline.set_markeredgewidth(0.5)\n", "ax.scatter(\n", " wang_data[\"H\"],\n", " wang_data[\"I\"] / 52 * 50,\n", " alpha=0.5,\n", " color=\"grey\",\n", " zorder=1,\n", " s=3,\n", " label=\"Wang+2021\",\n", ")\n", "ax.set_xlim([0.01, 0.4])\n", "ax.set_ylim([2e2, 1e5])\n", "ax.set_xlabel(\"Hardness ratio (4-12 keV/2-4 keV)\")\n", "ax.set_ylabel(\"Intensity (ct/s/50PCUs, 0.4-12 keV)\")\n", "ax.semilogy()\n", "ax.scatter(\n", " epoch_zero_h, epoch_zero_i, marker=\"*\", color=\"red\", zorder=2, s=40, label=\"EPOCH 0 from Wang\"\n", ")\n", "\n", "axins = ax.inset_axes(\n", " [0.05, 0.05, 0.47, 0.47], xlim=(0.30, 0.325), ylim=(1.5e4, 2.2e4), xticklabels=[], yticklabels=[]\n", ")\n", "\n", "axins.scatter(wang_data[\"H\"], wang_data[\"I\"] / 52 * 50, alpha=0.5, color=\"grey\", zorder=1, s=3)\n", "axins.errorbar(\n", " colors,\n", " intensity / ndet * 52,\n", " yerr=intensity_errs / ndet * 52,\n", " xerr=color_errs,\n", " fmt=\"o\",\n", " color=\"b\",\n", " alpha=0.5,\n", " markersize=7,\n", " zorder=10,\n", ")\n", "axins.scatter(epoch_zero_h, epoch_zero_i, marker=\"*\", color=\"red\", zorder=2, s=40)\n", "\n", "ax.indicate_inset_zoom(axins, edgecolor=\"black\")\n", "ax.legend(loc=\"upper right\")" ] }, { "cell_type": "markdown", "id": "17c0427c", "metadata": {}, "source": [ "## Periodogram and cross spectrum\n", "\n", "Let us now take a look at the periodogram and the cross spectrum. \n", "The periodogram will be obtained with Bartlett's method: splitting the light curve into equal-length segments, calculating the periodogram in each, and then averaging them into the final periodogram.\n", "\n", "We will use the fractional rms normalization (sometimes referred to as the _Belloni_, or _Miyamoto_, normalization, from the papers [Belloni & Hasinger 1990](https://ui.adsabs.harvard.edu/abs/1990A%26A...230..103B/abstract), [Miyamoto et al. 1992](https://ui.adsabs.harvard.edu/abs/1992ApJ...391L..21M/abstract)). The background contribution is negligible and will be ignored.\n", "\n", "Note: since the fractional rms normalization uses the mean count rate, the final result changes slightly if the normalization is applied in the single periodograms from each light curve segment, with the count rate of each chunk, or on the averaged periodogram, using the average count rate of the full light curve. We choose the second option (note the `use_common_mean=True`).\n", "\n", "We will first plot the periodogram as is, in units of $(\\mathrm{rms/mean)^2\\,Hz^{-1}}$.\n", "\n", "Then, from the periodogram, we will subtract the theoretical Poisson noise level of $2/\\mu$, where $\\mu$ is the mean count rate in the observation, and we will multiply the powers by the frequency, to have the periodogram in units of $(\\mathrm{rms/mean)^2}$. \n", "\n", "In both cases, we will rebin the periodogram geometrically, averaging more bins at larger frequencies, in order to lower the noise level." ] }, { "cell_type": "code", "execution_count": 13, "id": "a1ce6955", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "14it [00:00, 24.41it/s]\n" ] } ], "source": [ "# Calculate the periodogram in fractional rms normalization.\n", "# Length in seconds of each light curve segment\n", "segment_size = 256\n", "# Sampling time of the light curve: 1ms, this will give a Nyquist\n", "# frequency of 0.5 / dt = 500 Hz.\n", "dt = 0.001\n", "# Fractional rms normalization\n", "norm = \"frac\"\n", "\n", "pds = AveragedPowerspectrum.from_events(\n", " events, segment_size=segment_size, dt=dt, norm=norm, use_common_mean=True\n", ")\n", "\n", "# Calculate the mean count rate\n", "ctrate = get_average_ctrate(events.time, events.gti, segment_size)\n", "# Calculate the Poisson noise level\n", "noise = poisson_level(norm, meanrate=ctrate)\n", "\n", "# Rebin the periodogam\n", "pds_reb = pds.rebin_log(0.02)" ] }, { "cell_type": "code", "execution_count": 14, "id": "87f5cb03", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "\n", "plt.plot(pds.freq, pds.power, drawstyle=\"steps-mid\", color=\"grey\", alpha=0.5, label=\"PDS\")\n", "plt.plot(pds_reb.freq, pds_reb.power, drawstyle=\"steps-mid\", color=\"k\", label=\"Rebinned PDS\")\n", "plt.axhline(noise, ls=\":\", label=\"Poisson noise level\")\n", "plt.loglog()\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(r\"$\\mathrm{(rms / mean)^2 Hz^{-1}}$\")\n", "plt.legend()\n", "\n", "plt.figure()\n", "plt.plot(\n", " pds.freq,\n", " (pds.power - noise) * pds.freq,\n", " drawstyle=\"steps-mid\",\n", " color=\"grey\",\n", " alpha=0.5,\n", " label=\"PDS\",\n", ")\n", "plt.plot(\n", " pds_reb.freq,\n", " (pds_reb.power - noise) * pds_reb.freq,\n", " drawstyle=\"steps-mid\",\n", " color=\"k\",\n", " label=\"Rebinned PDS\",\n", ")\n", "plt.loglog()\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(r\"$\\mathrm{(rms / mean)^2}$\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "3cb801af", "metadata": {}, "source": [ "We will now do the same with the cross spectrum between the bands 0.5-1 keV and 1.5-3 keV.\n", "\n", "In this case, there is no need to subtract the Poisson noise level, as it is zero in the cross spectrum, provided that the energy bands do not overlap." ] }, { "cell_type": "code", "execution_count": 15, "id": "84a1cd9c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "14it [00:00, 34.28it/s]\n" ] } ], "source": [ "ref_band = [1.5, 3]\n", "sub_band = [0.5, 1]\n", "events_ref = events.filter_energy_range(ref_band)\n", "events_sub = events.filter_energy_range(sub_band)\n", "\n", "cs = AveragedCrossspectrum.from_events(\n", " events_sub, events_ref, segment_size=segment_size, dt=dt, norm=norm\n", ")\n", "cs_reb = cs.rebin_log(0.02)" ] }, { "cell_type": "code", "execution_count": 16, "id": "6d8aa019", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(cs.freq, cs.power * cs.freq, drawstyle=\"steps-mid\", color=\"grey\", alpha=0.5)\n", "plt.plot(cs_reb.freq, cs_reb.power * cs_reb.freq, drawstyle=\"steps-mid\", color=\"k\")\n", "plt.loglog()\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(r\"$\\mathrm{(rms / mean)^2}$\");" ] }, { "cell_type": "markdown", "id": "65989f28", "metadata": {}, "source": [ "## Periodogram modeling\n", "\n", "This periodogram has a number of broad components, that can be approximated by Lorentzian curves.\n", "Let us try to model it.\n" ] }, { "cell_type": "code", "execution_count": 17, "id": "d3470baa", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "14it [00:00, 28.75it/s]\n" ] } ], "source": [ "pds = AveragedPowerspectrum.from_events(events, segment_size=segment_size, dt=dt, norm=\"leahy\")\n", "pds_reb = pds.rebin_log(0.02)" ] }, { "cell_type": "markdown", "id": "9f39a4f5", "metadata": {}, "source": [ "We will model the periodogram using the maximum likelihood estimation from [Barret & Vaughan 2012](https://ui.adsabs.harvard.edu/abs/2012ApJ...746..131B/abstract).\n", "\n", "For periodograms averaged over $L$ independent segments and $M$ independent neighbouring frequencies,\n", "$$\n", "\\mathcal{L}_\\mathrm{avg}(\\theta) = -2ML \\sum_{j=1}^{N/2} \\left\\{ \\frac{P_j}{S_j(\\theta)} + \\ln{S_j(\\theta) + \\left( \\frac{1}{ML} - 1 \\right)\\ln{P_j} + c(2ML) }\\right\\} \\; ,\n", "$$\n", "where $\\theta$ are the model parameters, $P_j$ are the periodogram values, $S_j$ the model of the underlying signal, $c(2ML)$ is a factor independent of $P_j$ or $S_j$, and thus unimportant to the parameter estimation problem considered here (it only scales the likelihood, but does not change its shape). \n", "\n", "For non-uniformly binned periodograms, the factor $ML$ should go inside the sum:\n", "$$\n", "\\mathcal{L}_\\mathrm{avg}(\\theta) = -2\\sum_{j=1}^{N/2} M_j L_j \\left\\{ \\frac{P_j}{S_j(\\theta)} + \\ln{S_j(\\theta) + \\left( \\frac{1}{ M_j L_j } - 1 \\right)\\ln{P_j} + c(2 M_j L_j ) }\\right\\} \n", "$$\n", "\n", "This is the formula that we will apply here.\n", "\n", "Let us now create an initial model that more or less describes the periodogram" ] }, { "cell_type": "code", "execution_count": 18, "id": "fd07a563", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 1042.102641366527)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit_model = (\n", " models.Lorentz1D(x_0=0.02, fwhm=0.15, amplitude=10000)\n", " + models.Lorentz1D(x_0=0.2, fwhm=3, amplitude=300)\n", " + models.Lorentz1D(x_0=15, fwhm=30, amplitude=10)\n", ")\n", "\n", "plt.figure()\n", "plt.plot(\n", " pds_reb.freq,\n", " (pds_reb.power - 2) * pds_reb.freq,\n", " drawstyle=\"steps-mid\",\n", " color=\"k\",\n", " label=\"Rebinned PDS\",\n", ")\n", "plt.plot(pds.freq, fit_model(pds.freq) * pds.freq, color=\"r\", label=\"Starting Model\")\n", "for mod in fit_model:\n", " plt.plot(pds.freq, mod(pds.freq) * pds.freq, color=\"r\", ls=\":\")\n", "\n", "plt.semilogx()\n", "plt.xlim([pds.freq[0], pds.freq[-1]])\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(r\"$\\mathrm{(rms / mean)^2}$\")\n", "plt.legend()\n", "plt.ylim([0, None])" ] }, { "cell_type": "markdown", "id": "2438911a", "metadata": {}, "source": [ "We will now add a constant at the Poisson noise level (2 in Leahy normalization) and fit using the Maximum Likelihood estimation in `stingray`" ] }, { "cell_type": "code", "execution_count": 19, "id": "2003fbfb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1.94796052e+00 1.00085414e+04 1.65798045e-02 1.98807131e-01\n", " 3.00810652e+02 -5.92867228e-01 4.70262505e+00 8.40235653e+00\n", " 1.54668594e+01 2.51297268e+01]\n" ] } ], "source": [ "from stingray.modeling import PSDParEst\n", "\n", "fit_model = models.Const1D(amplitude=2) + fit_model\n", "\n", "parest = PSDParEst(pds_reb, fitmethod=\"L-BFGS-B\", max_post=False)\n", "loglike = PSDLogLikelihood(pds_reb.freq, pds_reb.power, fit_model, m=pds_reb.m)\n", "\n", "res = parest.fit(loglike, fit_model.parameters)\n", "\n", "fitmod = res.model\n", "\n", "# The Poisson noise level was the first parameter.\n", "poisson = fitmod.parameters[0]\n", "print(res.p_opt)" ] }, { "cell_type": "code", "execution_count": 20, "id": "502706d3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "gs = plt.GridSpec(2, 1, hspace=0)\n", "ax0 = plt.subplot(gs[0])\n", "ax1 = plt.subplot(gs[1], sharex=ax0)\n", "\n", "ax0.plot(\n", " pds_reb.freq,\n", " (pds_reb.power - poisson) * pds_reb.freq,\n", " drawstyle=\"steps-mid\",\n", " color=\"k\",\n", " label=\"Rebinned PDS\",\n", ")\n", "ax0.plot(pds.freq, (fitmod(pds.freq) - poisson) * pds.freq, color=\"r\", label=\"Best Model\")\n", "for mod in fitmod[1:]:\n", " ax0.plot(pds.freq, mod(pds.freq) * pds.freq, color=\"r\", ls=\":\")\n", "\n", "ax0.set_xlabel(\"Frequency (Hz)\")\n", "ax0.set_ylabel(r\"$\\mathrm{(rms / mean)^2}$\")\n", "ax0.legend()\n", "\n", "ax1.plot(\n", " pds_reb.freq,\n", " (pds_reb.power - poisson) * pds_reb.freq,\n", " drawstyle=\"steps-mid\",\n", " color=\"k\",\n", " label=\"Rebinned PDS\",\n", ")\n", "ax1.plot(pds.freq, (fitmod(pds.freq) - poisson) * pds.freq, color=\"r\", label=\"Best Model\")\n", "for mod in fitmod[1:]:\n", " ax1.plot(pds.freq, mod(pds.freq) * pds.freq, color=\"r\", ls=\":\")\n", "\n", "ax1.set_xlabel(\"Frequency (Hz)\")\n", "ax1.set_ylabel(r\"$\\mathrm{(rms / mean)^2}$\")\n", "ax1.loglog()\n", "ax1.set_ylim([1e-1, None])\n", "ax1.set_xlim([pds.freq[0], pds.freq[-1]]);" ] }, { "cell_type": "markdown", "id": "10de5eef", "metadata": {}, "source": [ "## Power colors\n", "\n", "Power colors ([Heil et al. 2015](https://ui.adsabs.harvard.edu/abs/2015MNRAS.448.3339H/abstract)) are an alternative to spectral colors but in the timing regime. The power colors are the ratio of the variability at different timescale, basically they inform us on the slope of the power spectrum in different Fourier frequency regimes. They can be used to understand the spectral state of an accreting source.\n", "Stingray implements power colors both as a standalone function in the `stingray.power_colors` module, to be applied to a single periodogram, and as a method of `DynamicalCrossspectrum` and its children (see the `DynamicalPowerspectrum` tutorial for more information). Here we show one possible way to calculate power colors in the observation we are analyzing." ] }, { "cell_type": "markdown", "id": "39e27093", "metadata": {}, "source": [ "We use the same frequency edges `[1/256. 1/32, 1/4, 2, 16]` from [Heil et al. 2015](https://ui.adsabs.harvard.edu/abs/2015MNRAS.448.3339H/abstract). The colors are then calculated as \n", "\n", "+ PC1: the ratio of the variances in the intervals 0.25-2 Hz and 0.00390625-0.03125 Hz\n", "+ PC2: the ratio of the variances in the intervals 2-16 Hz and 0.03125-0.25 Hz" ] }, { "cell_type": "code", "execution_count": 21, "id": "ab95c32f", "metadata": {}, "outputs": [], "source": [ "from stingray import DynamicalPowerspectrum\n", "from stingray.power_colors import hue_from_power_color, plot_power_colors, plot_hues, DEFAULT_COLOR_CONFIGURATION, power_color" ] }, { "cell_type": "code", "execution_count": 22, "id": "4d47264a-964d-4c32-9ccc-533e449e2d12", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "14it [00:00, 31.60it/s]\n" ] } ], "source": [ "# We use a segment size of 256, corresponding to a minimum frequency of 0.00390625, and a time resolution\n", "# of 1/256 = 0.00390625 seconds, corresponding to a Nyquist frequency of 128 Hz (well above our needs for\n", "# the power colors).\n", "\n", "dynps = DynamicalPowerspectrum(events, segment_size=256, sample_time=1 / 256, norm=\"leahy\")" ] }, { "cell_type": "markdown", "id": "ff26febf", "metadata": {}, "source": [ "We slightly rebin the spectrum to gain some signal to noise" ] }, { "cell_type": "code", "execution_count": 23, "id": "a72489d0", "metadata": {}, "outputs": [], "source": [ "dynps_reb = dynps.rebin_by_n_intervals(2, method=\"average\")" ] }, { "cell_type": "markdown", "id": "bf53bfed", "metadata": {}, "source": [ "We now calculate the power colors and the \"hue\", or the angle of the measured colors and the point PC1=4.51920 and PC2=0.453724 in the logPC1 vs logPC2 plane." ] }, { "cell_type": "code", "execution_count": 24, "id": "7a8ea778", "metadata": {}, "outputs": [], "source": [ "p1, p1e, p2, p2e = dynps_reb.power_colors(\n", " freq_edges=[1 / 256, 1 / 32, 0.25, 2, 16], poisson_power=res.p_opt[0]\n", ")\n", "\n", "hues = hue_from_power_color(p1, p2)" ] }, { "cell_type": "markdown", "id": "40e5a557", "metadata": {}, "source": [ "It is useful to compare power colors with the fractional rms. This can be calculated as" ] }, { "cell_type": "code", "execution_count": 25, "id": "55574e17", "metadata": {}, "outputs": [], "source": [ "rms, rmse = dynps_reb.compute_rms(1 / 64, 16, poisson_noise_level=res.p_opt[0])" ] }, { "cell_type": "markdown", "id": "c7479416-c48b-41d2-9f9e-37b02b61fa21", "metadata": {}, "source": [ "Once the colors are calculated, they can be plotted and compared to the ranges that can be associated with different spectral states. The configuration of the plots can be tweaked by modifying the entries of a configuration dictionary. All defaults are contained in the `DEFAULT_COLOR_CONFIGURATION` and are based on the original paper. The user can start a configuration by using the default, and then tweaking some of the entries. This will almost certainly be needed if the user selects different frequency ranges for the colors." ] }, { "cell_type": "code", "execution_count": 26, "id": "ac7125ff-709c-4367-8f76-e1c26d96ce7a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'center': [4.5192, 0.453724],\n", " 'ref_angle': 2.356194490192345,\n", " 'state_definitions': {'HSS': {'hue_limits': [300, 360], 'color': 'red'},\n", " 'LHS': {'hue_limits': [-20, 140], 'color': 'blue'},\n", " 'HIMS': {'hue_limits': [140, 220], 'color': 'green'},\n", " 'SIMS': {'hue_limits': [220, 300], 'color': 'yellow'}},\n", " 'rms_spans': {-20: [0.3, 0.7],\n", " 0: [0.3, 0.7],\n", " 10: [0.3, 0.6],\n", " 40: [0.25, 0.4],\n", " 100: [0.25, 0.35],\n", " 150: [0.2, 0.3],\n", " 170: [0.0, 0.3],\n", " 200: [0, 0.15],\n", " 370: [0, 0.15]}}" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "configuration=DEFAULT_COLOR_CONFIGURATION\n", "configuration" ] }, { "cell_type": "markdown", "id": "206c3938", "metadata": {}, "source": [ "We can now plot the power colors and calculate the hue." ] }, { "cell_type": "code", "execution_count": 27, "id": "1867b978", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SIzHPB6fZgtxYsDjOWnkr62To1s6zCxwX9YVjAop1P/acLZln4c526PxTz8cB+x2IgIuVR0oRFEWVFD+rEbQEujmGYSxFZFsV3oVS0hVyviAIYNmALRHoXgg0sgPFugZfg/QInCY5ZxkW+w0YiiAv4s5/zcTChe/a2r4dxMCJbRUTNE23KC3SLbo5J1FKuZx2LOZ7KluQ11D6b04LQXN0q7PSQVNV/PzDavz8/Spb27Uz3LrYO16apl2hZ7MKsxsIWZY87VfNB0mSLFfvKDVEIo22pnQU+10qdfjbFM/B2SeaoqgkgvOIJKFt22pH+yxFUBTl6ZJCZkxnDKPTzXmF4NoKQcCekAfIcRyCQffyPL0Mr5iGfQ3Ss3Buxx8jOP/ms49wwAE98N//rrS9jxJWWADoPi+3tEizc2W+ooe36ObMjl9nAmrZ0DRNfy8pf0kGvCEcAV9AehgENM3ZAszDBg3D3y/6hyME53Y94HYI2kLSPmTZ+cXZaRYap6/D6c0QTbd882o0GtkjtORSgy8gPQyCIBxl3mEZFhedcRHYKIfVX32OJUved6wvq7BD0Fptg2VZS4LFa9qzzhLkXCSrk7t9QRBaRB5nLnBcFGVl5ba05bVnr9Th+yBLBhqc8k8yNI1nnnwA/1v3G8aMmdAioh5TUYhPw2xBZa+YhxIhywo86k7NCU3TXBGQxfJ5ybIMirJPQ/bis1fKaHkrYYsF4Wj8zh3/vBPP3vsMhIY6W31vXtnRWuV7DQaDlvIivXLdMXhh4Zw27RxMnXp8xt9GjuyOxx+/L+37+++/FYcfPiT+N8dFMXv2TIwa1RN77x3EwIHVOPHEQ/Hhh28XNLZizQ/P87ZX6fCRG6qqIhqNGDrW1yAtowgroBb7j/1vM8uwaFPJYsfmzTjh5HH4x9W34bDDJhXcbkwweWGBtjoGTdNMR4Fa6cvsPJk5vhTNlKqqpqWnXH31xfjmm+W45ZYHsM8+/bFr1w6sXPkFdu3aAcD9Z62Q/jguivJye0yrPoxBFEUoioxwuMzQ8SWtQX766ac45phj0LlzZxAEgbfeeivvOR9//DH2228/BAIB9OrVC08//bTF3gkURUg6rEm2KivHgN790bZVhW1t2rlgFaKZWT03FAp5ksTczLw6TTfnBGRZTst/XLhwHi6//FqMG3ckamq6Y9CgYZg69XJMmTIVgPsbMav96SlEflCOm4hGI6Bp2lTJtJIWkJFIBIMHD8ZDDz1k6Pjff/8dRx11FMaOHYvVq1dj2rRpOP/88/Hhhx9aHIE7yf1pcLA7lmFx13V3Y1BNT9RtrcXq1V8515nLKKSslpeJA4zAjZqQdiOTUK+u7oglS+ajsbEh7TevmbWzQVVVKIpcklp9ISjW/VEUBdFoBOFwmen4itJ7axIwadIkTJpk3Az4yCOPoEePHrjnnnsAAP369cPSpUtx7733YsKECQWMpDj2w1gKiBORrgSAl599BPc8eje+XP4H2rRpZ3sfVmBHYWUrZrFwOAye5xEMBg2fY7YfL5mji4F//etq3HnndfG/NU2DLEvo3bt//Ls773wMl112OgYMaIv+/QdjxIiDcPTRf8GIEaNLxrQqCELBhZ9L8Tkpxnh1rZE1bFJNRUkLSLNYtmwZxo8fn/TdhAkTMG3atKznCIKQZF6rr6/Peqymaq4URI4h3pdD1t5zT5mKYYOGI1hqb2IeWBVEmmZOi3Q6v9EMZFnyfJ7dxRf/AyeffA4APepW01Q899zD+PLLT+PHHHDAIVi27DesWvUlVq78AkuXLsbkyfdjxoybMH369a6NtRDTKsMUFk5cisLRfd+wBo6LWhaMMZS0idUsamtr0aFDh6TvOnTogPr6enAcl/Gc2bNno7KyMv6pqanJ2n6SwHITmi6c7SYVYBkWwwcNR5AXce9ds7Bo0Xu2tl9qCAa96Ys0ghjdnJfRpk079OjRCz169ELXrjXo3bsvqqrapB3HMAxGjjwYf/3r1XjppQX4+99vxv333+J5gnlJ0jlxabow06ovHHOD4zhIklSwcAT2MAFpBTNnzkRdXV38s379+vwnae4X3SVIAoRDd1NTVXy3+it8+82X9rZb4BQVcr417Y6AqnqHss0MCMJbdHP5QFG04ajhffbpD1mWIQi84fbd3ivoBZAVz2vxTsAt4ahpGqLRCBiGtY1DeY8ysXbs2BFbtmxJ+m7Lli2oqKhAKBTKeE4gELD0UDe/3M4l+Gfo1ZFWKYrC43c+ESc4j8oK2rRpW3C7dvgTC4GVnW0gEPQUibnRa6AoEqIoFr2MUn19Hb7/fnXSd61bpz9LsixlnOO//GUMjjvuVAwePBytW7fFL7/8iNtvvxajRo1FKxOR125rYV56ZpxGMUzAgiCAIAhbtMZE7FEC8sADD8T8+fOTvlu4cCEOPPBAB3uNOQiLYHe1sc9YxN3Xn3+KM/92Oua+shhDh+5vW/vFgJWXmCTJJvJsbyx2Rq+BJElPMCQtW/YxJkwYmvTdqaeel/S3JElg2czBUIceOgGvvvoMbr/9WvB8FB06dMb48Udj2rRZjo25UOimX6Lg+S8F32MxfI08z4GmGUdKohGa1x0TOdDY2Ii1a9cCAIYOHYp///vfGDt2LNq0aYNu3bph5syZ2LhxI5599lkAeprHgAED8Ne//hVTp07FkiVL8Le//Q3vvfee4SjW+vp6VFZW4udPfkGr8lYmR+yeoNRUTU+ZtPlpFSURT770BM48728ob+uNyNZCYOWFjvGzFlsbM4tolEM4nNlS4iWYjRb2MlRVhSR5P0DKDrgtHEVRhKpqCARY0+tcQ0M9+vatRF1dHSoqslseir+lLAArV67E0KFDMXSoviO98sorMXToUMyape8mN2/ejHXr1sWP79GjB9577z0sXLgQgwcPxj333IMnnniiwBQPM3A3wtWJ+n8sw+KSsy5FgOPx/arl+OijD2zvw01YyY2kadp0QIjZPoweb6Zdr2sfMZiNFvYy9hTTqpvCUdcaeWgaEAwGHK1zWtIaZDFQmAapw+10EE3TAM3+fMkZN1+JH39bg/fmf2WL+a7Ql8zNl1SSJFAUVXSzZeztNXLdxVyszdwbM+P0stkx5hezOudm7m2x4dZ9kCQJiqKAYZiCiBaMapClZSNqIXA6fzGtP8IZerrZM29HQ2MDhIY6BCuqPFOx3g0wDAOOi5pK+HZiETGjAWcLfHEDRq+b47gWIRxVVS1IOALevbZMcGOsoihC0zRXze8lbWItecTJx0sTLMOibeu24LdswbFHH4DFi+fnPykHih3VahYkSZuioHNqfMYDdYpHbWZUiJMk2SIo2PQqHS3ftOoGFEUBz/MgCNJ1X64vIIsO9/lc7baql4XC6L1XT1TZHGLtdQQCrGO5d5pmf66e3Rq+E/5PL2w4CoWuBbf8oBw3IIoiRFFEMBgEw7hv8PRNrJ6Be+kgdi+ULMPi37P+DQ1A/bYt+H3TegwePNzWPszCLfMbRelapBFfpFleVrthN92c3WPUhaOxRr1qXlVVFRRFWWbL8ep1uQ1N0yAIAiiKRihUPE3c1yA9Bbe1SXv7IQDMfe4x/OXEMdixY5utbbsFs1obwzAlQz9H0942+UmSjFDImH/JPI+uhQFZgCAUZlr1haOeRhWNRoumNSbC1yA9idJl3jn7pLMxqN8ghIvsR7K60Jg9jyD0BHCzBZXthhHNgyR1ujmv+vgkSUQg4IwQd6oQdSKi0UjBVTr2dHAcB5qmUVbmDXeNr0F6GE4QkDvdD8uwGDl0JAKcgAfuu6UkCc6taJE8X1wt0siCThBEnOTAiyi0yoVdsCIcFUUBTZtPWPehQ1VVRCKNCIVCjjDiWIUvID0MnYDcmRSNjP3YaXLVNHzz1RdY9dVSu5pz7VyzaxxJkk3pFt6OSKZp4wTgdsLItMiyDNLF3OBcsHIbddOqtYXd44+N4+B5HqIooqysvNhDSYNvYi0FxNNBnF5A7GufJEk8fucTUDUNQn0dOFVFVVVr29o3A6sywYypjWEYiKLoeUqxYlT0MDKHkiRlLRjgNsw+L5FIo+XFfU8PytG1xjLPbI5S4WuQJQM3A3js6YOiKDA0je++/AwjR3bH119bL5dlR+UOJ/ukKMrzGqTdsPNynfCLunE7RFEsyO+4pwpHURTB8zzKyso9KxwBX0Bahhu+wcxwg37HXrPuoH6DcPk5l2OfvXoW3JaXZZAVjla34dUAHVmWitq/ledKr/EoF51u0E648X41NjaCIMiSIKRvOXfWZdjuszPXe9P/HezfxqZZhsVl516GIC/gp/+uLArBeSFmVqOgaXPMOsUQ9nYKIiNzauQaJUlCMJjfvOqkL9la1Ko5qkGvw2lzryRJ4Dge5eXlRU/fMApfQBaEYgrJWP9uwJ5rZGgaTz1+P/5121WWfWFum6TM9kdRFCTJmBCy+1qMCBC36eaMXKMsS7YTLTgNQRAsC0evWkGcnF+Oi0LTNMN5rl5BaYhxT8Mbb62zFUII2/YCt159G+ob6yE21CFY2bpoUZVOdaunfPCGQtXtHoeRtuwyB9o5doKwd5/utCYkyzI0TbPkO/NaUI4bWqOiKAgEgiVpii69EXsdRXr4HU8HaYqkLdT3yjIs2rVuB3Hbdkw+fnTBBOde3I2TJGko37AYC6Uk2eMjtWvsuqDJvww5VffSyvMjioJl/5mXhCPg7HgEQYhX3yhF4Qj4AtJ+FHPBdrw6CAGCsueNCgWD6NGpGyqK4Ki3siiYWUhZljWckO+2gPdKMn4MPM8bChwyes/MkrybfRZ43rpp1Utw8rmTZRk8z4MkyZKvaOKbWB2FO+TjyUgM4HGgb80ecy7LsLj3xvugAWjYvhV/bN6AgQP3M92OWztyK9yfRmjdnPBD5mvTKLm6G6AoypCANGoKdPJ5EEURBEGUNFtObB6duoRi1Gx0Et54S1osivkiORdARJBEk6m18PYJAK+9+CSOP/4gbNu2xXI7VnfETu2kQ6Gg4WAdO5Fv4SMIwhayALvmTVGMadpmNEgnoKpqky/NvEbkJTeAU4JRVVXwvABNQ1HIMpyaY1+DdBVua5TOaZNxDdIGOXz65NPRp2cflBeBg9FJZUDTNFtJzO0IqKBp2hY+VqMpHrmO00tD5V+CjF63kwEneipKy/A72g1JkuKVWNzUrhPvt1Pd+hqkq3CeVzVrv06hSTgWErzDMixGDRuFACfg0YfusERw7sVFKBQKea4UFkEQkCR3CMvz3RNJkgz5qIzeW6e0TEEofdOqU4gF4oTDIdfnx43ufAHpNrS0f7jbvUMMQLZE6msaln/xMb78YokNjZnq1rHjVdV97tN8sGNhscOkZdS8ajfMXL+ubWslHWzihPlRURREoxGwLOv63LhpsvZNrEWD7scjKMJVWRlPB7G9z8JXXZIk8dgdj8cJznlNQ2Vllel2zJrazNeANH5sOFwGnufzmueMjNmuHbMddHN2jIWm3Tepm302zBRxTuwD8I5Vw+5xNGuNxanZ6Oa8+hpkEUGQRHE0SofTQQrRUmmaBssw+HHFFxg5ci989dUXptvwysIUg5GgGDvNg/mOKUbwUKYx5DPJOaEpmHk2BEGwtJlwMkrUCJzSsDRNi2uNLSVKNR98AekZuE1b5zCfa4ELxL599sXFZ1yCPt0LJzg3AycWl3A4bJsv0o5UB5p23nCUbx4VRcnLNlRMIRMT4FZrPBYTTsybzqMaRThctkf5Yn0B6SkQRagSYr9gTtaMrYFlWEw7fxrCoow133+Djz/+0J7BFQF6akV+f5tdwtlpH02+9r2U1mAViqKY8q21hGvOhsbGRpAkVTSTajHh+yA9hqQEfNeUSr1PZ/hcC0sxoSkKTz12H1Z8txIHH/ytJZOXGb+TU5vjYDAEUZRyaiT2cZvm/l2WpYJy1ezQYjUtd9WTYnKWRqNR0ybElqhUKYoCQdCrb+yp8AWklxFnrQHcyA9xhuy88DZv/sct2F1fV1SC80Kh87NyeU12bggGmnY26tBIekcgkFsAFesWS5IEiqI9wzRULESjETAMu0dqjYnYs5+CEoAutHRV0k3za/EKQqeDZVi0b1sNZecunHTioaYJzt2oBWkEDBOALOcO2HFHMOgEBsWCJIl5BZAdwUhmjwNgmS2npUBVVXCcXufSSEWaQhC7L142T/sCsmRAOFjOKkNvjlUH0d8GWZbx/BvP4fk3njPM7MIyDLpWd0LIhSATwH5hxTA0RJHPe5zTC4ZddHPZkG/8Rthz8pto7WfXiUQaTZtWvby4mwXP85BlGaFQ2BUrjdMsOHbAN7GWIFzLn4yng9j5BBOWtReWYXHfTfdDA9C4Yxv+rN2EffcdbOPYnAdNs3nJwu1K5M/WDk3TUNXcPsBCkGv8Ru69nTmhRo/jeQHBYMjYwU0olp/U7jxLVVUhCDwYhnUlwrmU4GuQFvHjLz8Wre9YlKg7ZjL700EIgoBmcIHOpGkSAN54aQ6OOeYAbNmy2bZxZYLZ8kn5wLIMOI4z1G8hyLV46nRzxcmFFASh4PQOo/fE3BxqpgPAiqX52JlnKYpiXGv0QvqPWzA6Dn+7YBEUzUNRJGzfuRNtW7ctys6r2QziBgl6zA9qTzAPUWAQxJTjTkX3mh6ocLhygBOLIMMwrmiR2dsurPFCNCeSJHNedzG0x0ikEWVle1akpq416r5gN32uXjCnmnl+fQ3SIsYcOASdOxK4ZOb5+Os/LynyaNx66oiEUlfFBcuwOGTkIQhwAuY8fq8lgvNigWVZ8HxuLdLpnXYhdHOFLHKynFtzNepXtOMYAOA4DqHQnhWpKYpiUyQxu0cGJJl5fn0NsgBQFIn/zL4VoiiCoRvw7U9/YMEni3HhGRchZNKfYS+c1SidCBbSVNWSVkkA+OyjDxFd8A5qazdiypSpjmnzdvqcaJrJWQrLaT+k0UoadkJVVbBsdo3f7aLIMS2edDH4zSzs9DdqmhYv+lyMmo2lCF+DLBD7DRyIA4YNQ3W7Mmyo/RGvz38FNK1CVVVEuWiRRuVeWS27tEmCJC35VAmCwH/+9TAmHXwEZD6KhoZ6W8aTuS/72mIYJq8WWShyjbcYLgGeF3L2a9f8GhW0HBf1vKCwy98oSRJ4nte5jku4MonbKHkB+dBDD6F79+4IBoMYOXIkVqxYkfXYp59+Ol7XLfaxk3T37JNOwk+ffIRuXYLghQ0YPmko3l9iLmfPNrhEgk6Q1qNSY4gF4rzw5vN5TXCZwNAMaJpC7R+/Y/Sonvjqq88LGo8bIAgCJEnlnDuvBDQkojCaucIuyKhp1YhAiUY5w35HL94HMxBFEaqqIhQK2VLJJRuKPU9O9F/SAnLu3Lm48sorccMNN2DVqlUYPHgwJkyYgK1bt2Y9p6KiAps3b45//vzzT1vHxDAMCIJAx/at8c8r/obxBw8GTQl4f8l8rPpula19GUOTz5BwsBYkYScnnnXtt2OHjph6ylT07ra3qfOK9WLTNJ2TxLxQzSHXdVnZiACFBdDkyn80cg/syo2UJMmUBu2FwBIr0JP+OVAU5aim7JXyXk70X9IC8t///jcuuOACnHvuuejfvz8eeeQRhMNhzJkzJ+s5BEGgY8eO8U+HDh0cGVt5WRn+cckl2KumE9pXM3jujSfw/BtzIMkiNM1dJpNYWojuO3SqXxvTQWIMGyYFOk3RmHb+dJTLKn7+bhVmzZqG559/LC8RQezFMnNL7GBxoSjK0YTs3CZWd81sgiDk9PXZMQ3GAnw0SJJYklU6zECSJAgC77jWCBRfMDqJkhWQoiji66+/xvjx4+PfkSSJ8ePHY9myZVnPa2xsxF577YWamhocd9xx+OGHH3L2IwgC6uvrkz5WsHjuXDx6x63o0E7F4qXzcPip41DvoL8sOwo3ieZr3y5aPKsCnaYoPP34/Zj39sumGGMIwrjgsyvVgKIo20phmUE+snC7QRCEa9RluSAIQovnF+W4KAiCRCgULvZQHIHducm5ULICcvv27VAUJU0D7NChA2prazOe06dPH8yZMwdvv/02nn/+eaiqilGjRmHDhg1Z+5k9ezYqKyvjn5qaGkvjpSgKlRUVCAZZ9OtdgyMPOwTt27GQZB4ffPQ+OBcDevREfSe5Xe1LB1EUFWv/+BWrf/gGy75eZljgzZp+Ay447QIoAm9qQ+D2blhntck9vlzDL2ShcJJuzu2+jJhXBUFs0UwxiqIgEmlsSvq3X2ssto8xBjcLUpesgLSCAw88EGeddRaGDBmCQw89FG+88Qaqq6vx6KOPZj1n5syZqKuri3/Wr19f8DhGDBmCu2fNQpvWLGR5Ey68+gLM/+idgts1A4JM4HZ16GErNB1k/pL3MPr4A/H4C4/ipbdewpRLT8bIo0dg/pL8OY8sw6KyVQW0SBSnn3qEaYJzI7BrJ0vTFARBzPp7blYca33qZAX2rnjZ5kJ3KdjaVRryl/iSoWmqIQHptiCwoz+Oi0JVVccID4pNq1e0OIHidFs42rVrB4qisGXLlqTvt2zZgo4dOxpqg2EYDB06FGvXrs16TCAQcNTB3bN7d/zy2Wfo2qkTBIHH32+5DVWVbXHFedMc6zMNCT4/pwjRU9tWFAW//vkrGhrr0bVjTRqzzPwl7+HCf1wALcXEWru1Fhf+4wI8dtfjOPKwo/L2S9EkOlS1hRMeNzMLRq4FhmGYvGZWqwtUtvNIkoQkCWAYe5aA3AFBMoJBZ4NEjAhIOyPW7UQhgkfTNEQiEcdqNsbmtth+xmL1X7ICkmVZDBs2DIsXL8bxxx8PQI/aWrx4MS677DJDbSiKgu+++w5HHnmkgyPNj7332gsAwLJAl05VCAWCkJVGcJyG2m2b0bvHPq6MQzeLJifsG620YQSaoifGv//R+7jxnlmo3aabwl966yVUtqrE0eOPwV+OPAmKomDWXdenCUcA0KCBAIFZd8/CuNHjQVEUZFmGqqhJ4419R4LEXdfdDYqmUbe1Fuu3bkbfvgPzjzUP2bdZ5I/+JCEIYlZmE6sLRLbzCMKaLzrXvGT7XhSFrJpNPuFmB/WcIIiGKogYba9Q2KWNcRwHkiRtF46JUaluC6bUiNhiC+aSFZAAcOWVV+Lss8/G8OHDsf/+++O+++5DJBLBueeeCwA466yz0KVLF8yePRsAcPPNN+OAAw5Ar169sHv3btx11134888/cf755xfzMpIwa/r0+L/vfOgRzLrnTqz64BtUVbR2pf+YcIyxvLw87yVb2//+5+/w3OvPpX1f11CHF958HhqhoTxcjs1bs5OQa9CwecsmnD3tTFS3rcbgAUOw6JOF4AUev677FT336gkNGlb+9yv9eEIDRVJY/s1yzPvwbVx19a2orLQ+n2eccaHlc7OBZXNrkbkWVasLrpXoRrPCEQAYJrv+bhfvajbozDGwTVO2A3Ys+jFfoxOFnYsplIotEFPhnafGAk455RRs27YNs2bNQm1tLYYMGYIPPvggHrizbt26pAdo165duOCCC1BbW4vWrVtj2LBh+OKLL9C/f/9iXUJOXHH+uRg1Yj/s3S2MbTvqcMWsmbjg9AsxuP8QW/vJpSWqigK7nJSqqmLegnk5j3lv4buYcOhEQ+1xPIcNmzdg0WeLUN+oRwR/9d+vUNmqEkeOOyquIamKCkIjMHTfoagob4UgRUFVFZCks+HvqTCiLcmynFFDdcIP6QbdnKqqWUtrOe3XiqVTeZ0txwz0pH/NEV9jsfyMXgahFbO0eAmivr4elZWVqPv5Z1S0auVav5tqazH5vPNx04zrsG+fEbZWEXn+jXSNLgZF1aMP9SoehfXz25+/4YkXH8973KSxR+L9j/IH1fTt2Rc///pz1t/3H7I/OnfsgmGDh4FKEIaqquGrH1fjuMmnY9y4/Ob1VLOPk5GQgiC4tqC70RfP8wgEAqbzPe1IPuc4HizLOJ4H6AY0TQPHRUHTrK05nDGhuKcJx4aGevTtW4m6ujpUVFRkPa6kNcg9CZ07dsTy994FoKc+nPrXi9GqrBJP3vO0o/3GBQupC0kgt6CM+QIzoaGxwVCfiz5bCJZhIUrZIzsrWlXi9/W/52znu5+/Q+cOnUFoBAit+e0nAfxvzQ/4ZMl8QwIydeHIpHGbEZq5zaUaFEXJuKjbvYhZEVpm+49ROpqFHaZViiI9IxwLuXeSJDVRxYVtJZZIHNOeJBzNwBeQJQiKIvHgrTeB43kwdAN+WrsB7yx8HxedcTHCFpKDpxx7qrkTcuTvv/DW81lPa1VuTOOWDNCgDR88DEuWLsl5DMdz+PF/P6JNmzbYu1vPZnM7AZx6/KkgCQrPP/0gFIJEIFBYhGOiXzLfYpjrt2AwCJ4XMi7sdi9iOqOMcROrFR+oosgAzGuphQiUmFHMC6TchUSBaprWxEBE2qrpux2ZWspa6h6VB9mSMGTAABw4fLheRWTzj3j9vbmgadlSFRGaps2ZDS0SoXev6Y6KVpWGj2cZNq1sWGWrSpx2wulo27qtoTZ++e0XzHlpDu78z534fs338e8pigJBApv/+B23334t1q5dk7ctRVGwfPmnWL7805yJ74VzqCqWI0zNIFfwjBlkF465y1tZaRPIf508z+Vl7XHLsVSI1igIIhiGsV3QuykYi9GvnfA1yBaA0yZPxklHHw2GYfD7H5sw4sjxmD3zThx7xLGm2rEjYjXRlJkKiqBwzPhj8MKb2bXMRIiSiFGDRmHLji2QZRn77N0Hg/oORJvWbfHrn7+aGld9Qx1efOMFnD75DAzoMyD+fYd27XHA0JHo0KYtpkyZmrMNWZbjO+FTTjnXMV9kKBR2xT+YLXgmG8xqAKLIO0J3lmsMekktxlGOWyMoRFvSo5kJR3NH3UBLMN/6GmQLQWzH3L59Fa6fdgUmHDoENCVgwScfYuW3K10ZQy7/YwwD+gzA6ZPPMFxQuqqyCu3btkfrytYIB0P4bd1vWP39N6BICkELZtF3F72TJBhoisbhBx+BIIDff/kBn322KG8bmV54WZaTPpKkf1K/j33yQTdN2odMGpNZ0nzz/kfzy0sh5bT01CQY4nx1etG20r4sywkm1eKbh1sarLDy+BqknfCAkb0sHMaVF10U//vFt55CRXkVBvcfBJrSF45su2vTvsgUxPyP+SJe9+27LxiWwdNzn8rbpqwoqG7bHoqqoGPHTti5ayckScKWHVvQsX1H/LH+D1NjrGuow+8bfsfeeyWXxCIJEjNnXopffv8fZsy4KaMPUFEUrFyp15rUNGt5hDHky6UMh8tMa5Fm/Z463ZzqWCCLE1pcriY5LpqXiNwDr2hGiKIIRVERCtnD9uPV6ywGUn2uZubFF5B2IrFukkeezg9eeB4NjY0IsCrefP993HzfXXjtsTfQOkOifKEmw8SI13zo1b0XQsEQOJ7LekwoGEIoGMK6DX+iS6eu2KvLXujetTt21+3Glm21aF3ZGgQIbN66GbzAGx5nQ6QhKe0jhqPHH42GSCMUgQMZKiu6mc5KgIuZR48gCMiy7IiAzBZolH9Mmb/Pd13RaBSBgDGrhJegaVoTmQFpi3D0CjWcl1DIXPgC0gl46OkkSRKVTXk++/TsjIljDkan9iE0NHJY8vknOGTkIbb5idI1UA3ZSAZkWcZPv/yEF958HgSIJFq52N8nTDoR/Xr3A9k0nwcPPwTdunYDoPtpbnvgVmzesglHHDIB36/5Dtt3bsea3/IH23Ru3xnjRo9HddvqjL9zPIeLrrsUZ597eVIaSMwHCQAnn6z7IJ3cC+m+yOz0c5lgRsBQFAVJMl442cy1kiRhK3tNrn5VVSchp6j8OzMPvZqQJAmSJNqavuHG9Xlo/58Rdo7PF5BuoshP1rBBgzBs0CAAQENkAy68+gLc+c/bccqxp9vSfiYNNEZSnokIfVD/QSDJM7Hw04VxXlYA6NShE276+804bPQ4LPpsYXzxWPrVZ+hfvy+2bt+CWXddn0RH16q8FYYPHoHabbWoa6jLOsaqiiq0b9ceiz9fhJ579cSQfYem+UMDgQDalFeAhZZ2TTH2ncTIX6duK0EQUBQJMEm1nmk82cZnhqosUxvZrl2WnWfpiYHnuZKr8cjzPEiStG3czrMSeTtVw6mcTl9AuonEO1fkJ22vrl3xv6VL0al9e4gij2v+dTtCoVa48sIZtvYTE4oESWTMnxzQdyCuv+IG3P3YXWhorMdxR0zGqOGj4ua5iWMmYc2va/BHEynAa+++kpHLtaGxAR99vgTnTTkPT778ZNbx3PKPW9G5Y2es/WMtfv3zV6zbuB5DBwxB7x77xAUxy7B48NaHoAGI7NyODdu2oE+ffbNfo4O3MRAIQpIkU8WGzYynULq5zEJTy0gObndFEgCIRiM5hYzXFnRVVRGNRm0hGHcj0T91/rwyl26Ny49iLRYS/ZVFQveaGgQCAbRqxaJr59aobhOELDcgEo1gza/5TZVAevRmzk9KVKeqqFAVFZqmoUfXHhjUdzBGDB4BTdOSjqtuU42BfQdBkqW8XK7zl8zHf/71CDpWJ5c8q2xVidMnnwGO56AoCobuOxSVraogCDy+/PpLvLvoXdRurU3qV5FlvP3Ks5g4cRjWrftdH7OqQFUVW6uc5IJuBs3MKGRPLUpje2QzfWUT6LnMv7mQ7TxZli3nWRYCq/PO8zwEQbSt+oYbwsprqRp2UBCagc/FahKOcbF6aKt73+NP4urbbsHX769Cm9btch6bi8c1FxRVwcrVerWNoYP2wzffrgIADB8yIimAJvG4qqrWmPNSdu0whgvPuAjdunTDhx99AF7gsW/fAagoq8D2XdvA83owjwYgFAgDhAY+IVCoul171HSuAUPrC7ysyPjlt/+hd/+BINlgPIp1+PDROPvsSyxdu1lIkgyCINKqxNvxyBiNlM3WV6bvOS6a0a9t9yNeStpjJNKIcLiwwC83rsdtAWQUdl+7z8VaakiNgC3i233p2Wdi2KAB6NW9HNt31WParGtx7pTzMHTAUNfHQpEURu53AABg9Q/fGDqnobEeJEnGg3D22XsfUCSFLp26oL6hHtt2bMWO3TvBC+mMQ9u2b8Wu3TvRtXMN2rdtD5qi0b93P6iChBWrlmPN2p9RVlaONm2qM3KmFnrbMp3PMDSi0QhoOlkY5GObSf0903eyLBkSkNmEYyZkq724JwpHPRBHsqX6hpsaoxfgBa5YX0B6DZmeCJffdpZlcfDIkQAAprEOG7f8Dk1rhCKL2L5rF9pUtYmb0KzmTsqyHGfdOWHSiaAJCgCBk48+JavZb68u3fHSW/nZfo47YjJGDB4Rbz9Tm4Io4I/1v2PtH7+irn4XMkXbtq5sjRGD90fb1m3x/pL5mP/BWxBEvWbjV199jvfeew0333w/jjzyhPg5he5tsp3HMCxUVTUcVJOpncy5kIUF0qS2qShKRoYeMxpovt8EQUTQINFEMRGJNCIQCCEctp9NaE+AF4S1LyBLAUV8UjpUV2PZO+8A0Lk1z55+OUiSwbP3vwCgsNxJsiksn6ZpkFR6dGgqRg0fhU7tO6F2a21SWkgiOnXojFHDR0HTtKT2U9ukaRr79hmAffsMwPad2/G/P37Bn+v/hJzAYLO7fjcWfrYAO3buwF0P35nWZ23tRlx44V/w2GOvpQnJXMhlxsomFBiGyas15UOmts3SzSUiG6NQJo0025yYJTfQ60vKIMncgr2Yi6uiKBBFsSCt0S1zqheEkFfGkQl+kE4pokhuY4oicf/NN+DGGZeDoRvw+/r/4e5H7kIkGrG5Jw2amn6NmqbhhitvAqDnSmbC9X+7Ph7kEwsCyhc8VFVRhRGD9sexRxyL/QYMQ2WrquZzJRmPPv9IRoEcc9/PmnUFBEEwHKykKPon22/Z6ekISJJkmK4uFZkFsmqJGD0bdLo351Y7nucc4Xe1CxwXbSpNVZiG62RUqtN9GB2DV/2difA1yFJEEf2VA/v1i//7oy9+wOvzX8Fl514IVVXBC7ylclvpIHSqupS0kBiZ+hknnoG3F8xDfUK+Y2VFJY49/Fg0RBvw8ryX9OCe/+rBPRqhZWTOyQVO4LB1+1b8+L8fc+ZVapqGzZs34Pbbr0XPnn1M9WHltomiEI/czEdXZwQ0zdoq1DTNukaaDzppQnbBU0xNJKY1BgJBU7mlbqOYwqgQyrdiwReQpYwi+ytPPvZYTJ40CQzDYN3GrRh59GG4acYtOOHIE+3pQIsRDQCJPsIBfQeiT6++8SjVwfsOQc+9etq6MJWFy9CjWw/sqttp6PiGLEI01+0wYopNT/inbBVoBBFLlyg8qV9VVdtKaKVCZ/zRcrLl2DElVl4fnuehU8V53y9aTJSCQEyFLyBbGlx+CmPBOu3atMKs6dMw4dD9QJM8PvjkM1SUV2D/oSMznkfTNM444cz434n/TkQz+46WFBAkyzIoQtcKTz4mPQgnMQhID9LRg4CMImbi3atLd8ydNzfv8Ucd9RccfPB4w+1bhaqqEAT7ykhRFGXIXJsqODIJEjsS4DNH32qQZclzplVFUSBJEiiKMkXk4DS87NMrNfgC0octCIdCuOL88+N/z533DCgqgKEDhsTNeIVpeEQ67VuOIJzsv2fnh82EUSNyBwYRINC+XXsMH7ifY/UhM8EqwXg6Awlh6L4Yoa6j6cKFRKZ2JUlCwEJpM7MwI1hEUYSqaggGnR+XGRRLOHogO80ReNdY7qOk8c4zT+PZ++9Gh3Yqvvx6EQ47eQy279xuXweEXlbLyomamjkIKBMoksJNM25pOjP5zSdAAARw69W3gY5Ecc6ZR2HRovesDMoUKIpqKqprHtkEUKHIVFsyW+yPmZggUdRZhDIJcbtj1Yws7LoGr8+9Fwsauy2cUgNtWpJwBHwBuefC4UhYkiRRVVmJYCiAnt07YNJhh6CmczlkhceCTz4sPPJVQ86akzET7hknnJmm2REkkUacngtHjT8Kj931ODq2T6av69ShEx6783EcedhRoEgSYSYATcwuuDTNnmmnKCqjD9Jo26nH2aH56pyuyRqk2bzHVOgpHWpW/6hdi7HReRNFEaIogmEY14jY86FYPGilEIGaCk3TIEkSolEuiT0rF3yqOZNIoppL9beU0tMSg8s2kY2bN2PvA0fhlqtuwhknnGO5HVmW41GtU46dAoqkTQk9KxAEAbf/Z3ZGUvUYNABRlsamHdvQu3e/zA3ZAD3VQ7FFizFbmDkTRFFMExqFPlqCIIBlWUfTRowipsl6QTC2NDOmk5BlOe4nliQJoVAIJEn6VHOuoCU8pS5fQ5dOnfDL0s/Qvm1byDKP6+68BwRB46pLry6gVXMaoVVQFIWee/UEABw47MCMfkACwPw3XsI/bv07li79BV277uXIWGiahqIoad9bWTyN0s3lgiSlC8hCHi29iDDhiHA0M0f6Auut9I2WsOw4BUVRoCgKZFkCRdEgyeboYiubG19AOgV/m5cVe3XtGv93185VEEUZitIIQSTw54Z16Feo5pWSP2n3eZqKnHE+x004Dq3KW6FdRWXudrLwpQLGHh2SJNM0NyPnpfZbaGqGpmlpbRTy+McEvxPamtlAHEVRPRc96zRKbeniOA4kScZ94MFg0LZnxxeQTsEIU3SpwMGx/+OSS5q60PDQnGcw/aYb8NX8lWjfroP1Rq06DbTYf3JfK0EiIUcz/ViWYTFxzETIDRG8Nv8NVLXrgPHjj0pvxyBfajYwDAOeNx+sUyjdXOrjEDOF5urDzCMkSZJj0aHGNhAaOC6KYDAEljWvNZbaq54agerlset+RL3snKapoCgagUDAMe3eGzaDPQFefuryIfb2OOiuJggCF511Opa8+gr69a6Cqtbjiusvx1dNbDjWYXbMzXmXeY8kiZw0bRRJ4sP33sD7775qcgzGp5okiYKjUM2y32TKU0xcoDKN3ejjz3F81mogbkCSJHBcFOFwmeVFt9BqLm5HhXg9AlWWFUSjEYiiCJ7XtcVgMIhQKAyWZR01ffsapA9jcOHtYRgmXkUkEKjH5q1/QlUboMgiduzejarKKrCmzYFWx03EU0Fy+TcJgsiqSRIEgYf+9R+oqgahvg4qwxg21xmtcMGyrOWUjxgoiimInSfVF1uIaZWiSDBMcZalaDSCYDAEhjFHCG+nxuhVIeUmYn5ERZFBECQoikog6Xc3SMoXkD48ieq2bbH07bcA6FVEzvvHNAiigpce0lltUpl4jMM4UYDRwJ9cx8UE+s/frcaUS0/Bfx5+GaNGjUkekYkFNttxsiwXlK4hy7IlNhhZlvOaaI1enyCICIfdp2tTVRU8z5mqlOKFWoUtCbqrQN+kNZO9Fz9i2BeQPjwPiiJx743XY+fu3WCZBqz9Ywtefvt1XHLWpWhV3spka4T1IB4DyKaJ7d2tB04++mT06tYjfUQFMpAEAgEIgmBZQNI0ZdhMmzpOVVXz+guNXFc0GilKMEw0GgHDsKbLiHldKHrdDypJElRVgySJYBgWLMt4Jko4Ed4bkY/8iDkqvJrC6sC49u3TBwePHIl2bcuwacvPeH3+K6BpXXuJclGT40v7h23IZqZkGRbXXn4t2pIM1v+6Bp99tjjlvML6VVU1Y9qHEZAkadi8mnqYopgvu5UKXXt1N99R07S4UDajORf6aLv1ynpNOKqqGvcjRqMcCIJAIMCivLwcgYCzfsRC4M1R+ciNWKhZYtkrLyGV1dpmnHDkkfht2Rfo2b0SBLEdBxyzP14xQCiejiY/oyOLSebrpkgSTz56L/4+Y2rBvsNEhEKhvKTjibci9bZYDfQhctEZGYQkSRmFlFOPNcfxTebcMtNCudAAHK8JLqcQK//F8zw4joOiKPGgmnA45CpvcSHwBWRLgIm37pxp03D81Klp33/8xRcgunTB7ro6AMDjL7yAwePHo7x3b1T164ehRxyB2Q88ED8+ynGYOXs2eo4aheDee6N64EAceuKJePvDD3OPzaZVL7agtm1djhtnTMfEMfuBoQV89PlifLlqmeF2CJKwqFHmOzb7Pbn28mvx2qOvQYk2mugvfepS/9ZD37OPK5mkPPk3KwuWoigFL3SRSGNamSinaMxiWiPLMkXhUW3pwlEURXBcNImST482DYFhGE8wIplFaYhxH65izssvY9oNN+D/brkFhx5wAARRxLc//YTvf/45fszFV1+N5d98gwduuQX999kHO3btwhcrV2LHrl25G7f5JQkGg7js3HPjf7/23vMQRAXDBw8DRTImq4jEnJOZx5gpMEhTVRA52s8U4coyLGo61UBojOD8GedhymkXZMyTTBsdkfvvUCgMnheSFv9ErcVuDUYQeNO+u+TzhTS/o1NaliiK0DStoPEahVPX4DUNVJKkeCkyiqI9xVFrF3wBuScjyxs3b8ECnHzMMTjv1Ob6i/v26ZN8zMKFuP+mm3DkuHEAgO41NRg2aJBtY7CKN558AnX19QgFVXzw8ceYcfP1ePWR19Gh2ijxQPa0jYxHk2TOdJDEepapgpcAwIKAZFCTzKRZpQfNyAAya0e5ptkK3Vwh5a00TYOqqmmbF7OPQj5tU9M08DwPmqYdXbydLPfklQT+WC3SmFmdoiiwLNvihGIifBOrjzR0rK7Gl6tW4c8NG3IeM3/JEjQ0mjMTpsFmfyVBEKiqrEQgwGLvbu0xaewh6F5TqVcR+XQBGiP5x5sk6AwsSsaqg2Rm3PnPvx7GxP0PRXTXDvz66y9pxyROSaZFMrYoxxAOlyX5No1auI3QzSX7MDXDQUGZ+tQDZApP6cglOGKmvkAg4HhBYztTPmLzVeyKGbHSXoIgIBqNQFEUBIMhBINBBINBTxWJdgolLyAfeughdO/eHcFgECNHjsSKFStyHv/qq6+ib9++CAaDGDhwIObPn+/SSL2DdxctQnnv3ijfZx/9/717Y9KZzabDG668ElUVFeg+ciT6HHwwzpk2Da/Mm5eU7/bYnXfii5Ur0XbAAIw48khMv+EGfP5Vgaw3NvsrB/brhwduvRWtq1gE2DpcfPUFeO29l8010kQpZ8Y/mbvWZKaiy8CHb7+CceMG4s8/f0v+LcPimDot+SJLjdRlzJbLmCqgY9CLGGfWOPONj+N4hMMplXBsRmyT4CQNmVMoZn6lLMvxaNMYz28gEEA4XFayfsRCUFpPTgrmzp2LK6+8EjfccANWrVqFwYMHY8KECdi6dWvG47/44guceuqpOO+88/DNN9/g+OOPx/HHH4/vv//e5ZEXF2NHjcLqBQuSPk/cdVf8904dOmDZO+/gu8WLccV550FWFJw9bRomnn56fCE95IAD8NuyZVg8dy7+ctRR+OGXX3Dw5Mm45d577RuojS9jh+pq/G/pUlxx3iloFeZw9yOz8a//u83YMEgCMf+kkULLubVJIqNWetS4o/DgrQ+hQ+s2+dvPMy2hUDhenin1+Gz/zkY3l03BT/TtmtnHKIoCkiScit2CJEmGTKqpWpoZeC1ovBBIkgRBEBGNRhGN6jRu4XAZWJZFMBjc4wRiKkq6HuTIkSMxYsQIPPjggwD0XXBNTQ0uv/xyXHPNNWnHn3LKKYhEInj33Xfj3x1wwAEYMmQIHnnkkYx9xEwMMdTX16OmpkavB9nKbJJ68XHOtGnYXV+Pt+bMSfr+4y++wNiTTsKuH39EVWV6FYqlK1bg4MmTsWTuXIwdPTrjKn3rfffh5vvuQ+Mvvzjjl7DRwXPv44+jvj6CqVMuhChR+G3db9h3n31taTsOC4QEsqLgvWVLUFbVxlDgTjZEoxFTASmCICIQMH7PzLYfQ2NjI8pT66iaQK5HQBBEAFrBpbus9l+MdsxCZw0SQBC6D1HTnJ0vLyFxzo3WgyxZDVIURXz99dcYP358/DuSJDF+/HgsW5Y5zH/ZsmVJxwPAhAkTsh4PALNnz0ZlZWX8U1NTY88FlBj69+4NAIhwXNb8y/777ANZlsHbmN+XBBtXlOkXXIAbZkxDTZcwlnz+BiaefgQ2bdlo+HxD+ZPx6iB5D4qDpii8N+8VzHvzBcNjibeU0FQwmD8vMhEEARM+Rc1QgE7q1pvn+YKEI5D5EdAXfR4URTq+2Ft9BIvlV4wFKYmiiEiksSkfUU+9iJlPWyIKIcxPRMlGsW7fvh2KoqBDh+ToxA4dOuDnhHSERNTW1mY8vra2Nms/M2fOxJVXXhn/O6ZBmoLX4rPz4JJrrkHnDh1w2EEHoWunTti8ZQtuvf9+VLdtiwOHDQMAjPnLX3Dqccdh+ODBaNu6NX785Rdce/vtGDtqVMlp1ueechL69OyBgX3bYceuBlx54/WYctyp2H/oyKznxPIn85N8679lTwdJp7578LaHoChqE8E5mxTMkvooZXu0SJIEz3OG8xQpimoiC08vAp0KnucNLaypPsvEts0Iilyvj16zUTZEU1fM19BNv6IsyxBFARRFQ9O0eMWLlhxtGoPdEb8lKyDdQiAQKHyXlS3Swqm48AIx/uCDMefll/Hwc89hx65daNemDQ7cbz8snjsXbdvoPrIJhx6KZ159FdfefjuiPI/OHTrg6PHjMWvatOIO3sJ80jSNQw44AAAQDDRi87Y/Icl1UFUJO3btRkWrCgTYbKkT2dM4ko4j9SKSmprBR9mkacZ+YxkWYID//fAtTrn0FDzw4AsYPXpslv4z/xsAWDZgWOjFBKQRkCRpKvBFVVXIspQkxIzeomy3U9O0OP8syxZWISWxL7Pj8wKa6yNq0DQVDBNwJd/TTRh9re2+byUrINu1aweKorBly5ak77ds2YKOHTtmPKdjx46mjncUubaUDgrNp++7L+P3Y0aNgrZRNzGeeNRROPGo3P6vmZdfjpmXX2738ApHpugPE3PZpnVrfPL66wD0KiIXX/N37Nxdj9ceezNfx0YGh+zMbAQICkma5F5d98IJEyejZ0335qOy5vtlZscx4yuUZSmrlpFMOJDfsZp4vCRJlojIs906WZYhCDzKyuyNhC0VoaiqKiRJgqLIoGkGqqoVhRnITRTr3ljyQXIch6VLl+LHH39M+43neTz77LMFDywfWJbFsGHDsHhxM+mzqqpYvHgxDjzwwIznHHjggUnHA8DChQuzHl80GInt92EMBeRZUhSJu2f9E7df+w+wTAM2bf0Ttz84G/UN9QbONiBEUiNiteTvWIbFdVdcj2o6gI2//w9Lly7J2la2qFCaZnIKtMSfchUqjrWv+zXzr1ax40VRNJ1mEePhz/QacBwHVVVtF45W4NYrmehHjEYjkGW5idM0Fm3aMoSjF5c40wLyl19+Qb9+/XDIIYdg4MCBOPTQQ7F58+b473V1dTg3gfrLSVx55ZV4/PHH8cwzz+Cnn37CJZdcgkgkEu//rLPOwsyZM+PHX3HFFfjggw9wzz334Oeff8aNN96IlStX4rLLLnNlvAUh1xbKi0+WF2FhG9q3Vy8ccsABehWR2p/w+vuvgCRFqKqKSDSSq7O8mlY25p3UvEuKJDHn0Xsx7YqzwPN8xray5R6yLAsuodpJvhzFfO3q5a2yL8iJx+umPzWeUG70Mc3kQ9I0Lc7bmkvLdQNuBNrIsgyOi8YFY4zGLSYUSzX9Itc98uIlmRaQV199NQYMGICtW7dizZo1aNWqFUaPHo1169Y5Mb6cOOWUU3D33Xdj1qxZGDJkCFavXo0PPvggHoizbt26JOE9atQovPjii3jssccwePBgvPbaa3jrrbcwYMAA18duK3yN0xpMztGxRxyBP778Evv0bAOK2omDJh+IF954PuvxsUUsb+5kKjtOLO8y4fur/3oNXnv0dahcZqGcK68wUYvMtQhlKl2Verwsp1f9yOa7UxQ5qVak1QVQr74hZNUajQosu6rEObGQK4oCjuPB8wIaGxtBEARCoTCCwSACgYAhP7LXYFckaTFhOg+yQ4cOWLRoEQYOHAhA39ldeumlmD9/Pj766COUlZWhc+fOlmvTeR319fWorKws2TxIAJ4MDMoJt6InTMyLIAh48qWXcOgBo9G+XXcs/OwLMDSL0SNGZ25a1UBQBDQlG89rlgCe2LlN34uShCtuuRInnnxOxjzJbJdgxBcZY07J1aYgCElBa9n643kBFEWBYeyo9hEuChuOk6+JHrgkxwsGx6JNS1UzLDUYzYM0/fRyXHLoOEEQePjhh3HZZZfh0EMPxYsvvmhtxD7cg8uBQQUjW+CN3WM2kj/RhEAggEvPOSf+91sfvIhduxsxcr8RoCk2jYg7lhYSM6GmC0I9gCdTOoj+fewcDZoogqvflfcSEhHTIgmCyHppqXRzqSHzkiSBJJM1mUzt6McRhoVjJg1QkiTIspxTa3TicU1s1+72eZ4HSZJQFAV6weBASaVeeHmJcAqmBWTfvn2xcuVK9OvXL+n7GJvNsccea8/IfLiLxOR/r78FiSuYU+M12ebcRx6JVxFZ/NlnuPz6a/Dyw6+gS8cu6U2TRNb8yczpIERcSLIMi0dufxQaAG73TtTu2okePXoByD0VNE2D5zmEQuEc+41kAZl6nCRJCIdzR6PqJOa5/ZSpSO1Hr9kYyEhmni/Pzap/0ImKGbIsQ5ZlaJoKiqJB03TJFArO9Cx5fVlwAqbtFpMnT8ZLL72U8bcHH3wQp556qqEwcB8ehZkENS/AI29tYhWRvWraYdJhh6DnXm0gKzwWfroQDY0Nacdrqhb/pLSWJ4BHd08ufOc1jB27L37/fW3e8em5i3TSu5kaLUqSmRfv2Cm5olxj4HkeLJs/KCeTL1CSZPA8j1AonCZIjAo+s0LOzoAbVVXBcVw82pQgiKaCwWGwLOs54VhqATPFQElzsRYDLcIHuafAKO2Mg9ixcye67b8/rrr07zj/1Euy+phyMfIkmmRjvkxogCiJeP+j9zHh+FMQrKjK0GZq0IwCURSzamaCwMdZV1IRo3MLh8NZpzFWQNeK2TAa5UDTVF4faKGw0zof8yPGCgYTBOHZihelYBhyE475IH34yAuvvI1ujCHPtbZt0wa/fPYZKlq1AgEBN9/7AOobI5g1/cak4xIjXlO1x8S/Y75MQM+TPO6I4yA3RPDekvcRKK/A+PFHZTUXUhQVj4ZMHTZBNLPpJFbpaPY/ynHBmo3ZRlVV06xTMTNkIMBmjdQs9DZm8itabZPnBcRugKZpCAaDnvEj5hL+XngdSxGmTaxLlixB//79UV+fnixdV1eHfffdF59++qktg/NRovCqmbZIvsounTqhVXk5ystZdO1cheo2YahqBDzP4bufvk1ujiSgZanNmJ6fr88fTVF4+80X8fqrz6SdkmrK1Dla+YzDTjUBxhZbAFBVJUkzSr110WjUtKDgeaEprzKYJLjzmWYz9Z8Lhdx2SZLjBYNFUQRNU/GCwaFQqGjaYq4UCl8Y2gfTJtZjjz0WY8eOxfTp0zP+/n//93/46KOP8Oab+ai5ShO+idUBeEXjdBlPvfwKzvv7lVg270vUdO5m8KzM6SCiJEJWFFBt2kBjA0n5h6lITNVI1ToikQjKytLTQaJRDuFwKOmcxPYoigJN04ZupW7qlUDTlCNV6Qt5nDRNA8dxoCgaiiKDYRhHxuijuHCs3NV///tfTJw4MevvRxxxBL7++muzzZYceFmGJMtZK7H7MAGvEh3YlVmeBWf+5QR8/NprGLJvBxBEI2bcPB1frPwi00AS/k1k1DJZhkU4GMKGn77HQQf1SqKlSx0+SZLxgsqpWkeiFtl8+Rpoutn8mXi71KagIaPCURRFSJKEYDBgm+BJ1SrNCEdVVSGKIjiOawqwkZqS81mEw2HXhKMXHncf6TDtg9yyZUvOh4amaWzbtq2gQZUCAiwLgmWhaBo4UdQXFk2DrChgGAaqqkJVVdA0DUWSQEGnDCNJ0pNOfM8h1xy5pXHmyiWw0n/KeYlVRMIhDlu2rYMk74aqSti5uw7lZeUIBoJAE6tOIslALB0k2e6qoaZzDY4ddwx6dM2skWoawDBMvAh4rkuJfc9xHAKBZo008RyOi8RzFXNNSYxgOxbZmdiOlViqQvyKsRxLiqLiVUbc8CP6PkJ3YUeMnmkB2aVLF3z//ffo1atXxt+//fZbdOrUyWyzJQdCVUE37eLjGwaCQCAWAUiS+geAxrJQoS9nXKwunqZBlmUwrJ5UrioKaIaB3CRM6SZBWgwGEc+j2EQHVvtJdOqltFFZUYElr74KAFBkBZdfdw02bK7F20+9qx+goZkoIG5iTR2HXipr1vQboGoaav/8Db9u+BOjRo1NGzpBEBmZc/SAmeRAG4qiMz6HHBdFKJSZnSfxMkVRgqJICAaTfXaZBJvR22jmFkiSnosYY60hCDIecOSUYMwlBH1hmBu5ngEzr7kdmxDTq++RRx6J66+/PiNpMsdxuOGGG3D00UebH0kLBqFpoDQNtKYhTNMINAnSMpYFCyBIkggzDFgAYZYFw7IAw0BQVQiaBkFVERFFiAB4VUVUkiBqGqKSBF6SICuKqerxLRKlsuoYSNSjaAp3/PNq3HX9NQiwjajdth7/euA27K7fjXiOZKY9QjyfUgNJEJjz2L24/LLTwPNckglP03TBkMmsl8k6lEobSRC6RqgLzszXErvMWNSnTlCQ/x7ZcRt1P2IUgiCA53moqgqWZVFWVg6WZQumv0vvL/27Unkc3YDRwKsYcs2d2/NqOkhny5Yt2G+//UBRFC677DL06dMHAPDzzz/joYcegqIoWLVqVZwwvKXBa0E6GkFAIwiITeYrQNcCGIaBqihQNQ00TUOWZZAEAUpf3UDT9J5t6i2hwKD3lyzBeX//O5a8sgDl4XbgeA5lcV7VVDNrM0RJxIbajejYax+EW7dNu2Se50FRdJLA4HkewWAwfqwkyQC0JMGpaTpHanl5eU7aumbmHmfnWdM0SJIEVVWTWGvstL6U0OPiGuzS9IoBo0E6logC/vjjD1x66aX48MMP0VwlgMCECRPw0EMPoUePHtZH7nF4TUCaQpMwlZo0Ak1Vm32miqL7TBkmLkxJgoCmKGBsXmw8CzuzyG2GLMugaRpbtu7CkCPG4W9Tr8DZJ5/b9GtKZKtuiY1DkmVcOfsqHDf59CSCc00DRDGZfFw3mzbTyaWSk2c6JhU8L0DT1IyEBInINM1Gp16WZYiiAJpmoCgyAoGgbc+oB2+/a9hTrt1RooDu3btj/vz52LVrF9auXQtN09C7d2+0bt3a8oB9uABNA6FpYGNvAEUhEEvOToheZBN8qhJJQmkSqnGfaUyY0jRkRdGFKUlClWUwFFW6gUi5nESJK4cT1C7ZfmsaTyy6tHVVGW6cMR0HDhsBmubx0ecroAE4ZOQhCefp/4kLTU2F2NiI+p3bkpqOmUoVRQFFUdC0dLo5WZYQCATix+vWiWS/XfO+QkM0GkU4nF1rzBRck/h9tqmQZRmKokJVZRAECZqmE6qTmPcjGglOainIFaySiTDCRzNMa5CqquKuu+7CvHnzIIoixo0bhxtuuCHvbrGloKQ1SIehaBo0gohHLKZG88qy3MQJSkKWJLA0DZIgQDR9fCD7yp1Fuz3jssuxYfMWPPt/LzZXEaHIeMRrrDqIqqoAQUAIBbC1bjf22mvveBuJwTocxyEYDMbvh16sNyaAdN9eprJZkiRBksS8JbWMT4PW5L9E01i0nLmdudtqeQu/GaHnIx2O5UHedtttuPbaa1FeXo4uXbrg/vvvx1//+teCBuujZYAiCNAAWJJEWSAAliQRpGmEWRYsSSLMsgjStP49y4KgKCgEgagoQlRV8JIU/3dUFMFLEkRVRUQQIMkyFEVByVAHWx1nTAimRjZk0W6fe+D/8Nacx9GxWsMPv3yJg08YjfUb18cjXmPpICRJgiSAJe++iTGH9sPatWviw5RlCaqqQdP0iNVYbq8giCAIMq7ZcRyHUKgs7dIikUaQJJkU0Wr28jVNgyiKEEURjY2NkCQJgQCLUCiIYDA38UH2NvX/txRhkelxyPR3S7leL8C0ifXZZ5/Ff/7zH1x00UUAgEWLFuGoo47CE088sWf4qXzYArLpLaYIAkzMx5Xw/CSG3zMsq2ummgZOkkDTdGafKUlCipl5gbi2WhQUYqbNpBpkOT5WRQQAajq3wZGHHYqe3VojynP4eNlS7D9kf1S0qowdjcPHHI67Z/0bXarbx7sKh8viWiRNU03BLoCmqXHtURDEJs2yue9YIE6mmo1GUjcURQHPc2AYFoqigGV1PtZ8qRdOpIK4hUK0Oy9eT0uHaRNrIBDA2rVrUVNTE/8uGAxi7dq16Nq1q+0D9Bp8E6v3oQFQoZsHqURhmuIzlSQJNEXpZl6kc5G6O+gC7WIp5++uq0O3Efvjb+dfjkvOvDzNhC1KEj7+dgWoYBDjxh0Vp5iLUa2Fw2EIggCWDcSrgMSo5gCdkk5PmWByWoWB5t/kJuapWNoIwzCeKwGVCfk0Ud+kWXpwLEhHluU0cwfDMJAkyfwoffhwAAQACkAopokkaqYJFSNYioLW5DeVZDkuSOPCVJJANgUdxYQpQRAgmlJnbPWbmvA7pv2eer6moaqyEms+/QRlZWUgCQH/euBhbNm+A7dcdSug6YFYb7z6LBSKxLhxR6GsrCzub9SreuiCjCCQJByb0zdCce08+zToZlNVVeKmW6OmUjeEjtE0hXzj8IVjy4VpAalpGs4555yk0G+e53HxxRcnkRy/8cYb9ozQhw8HQTRpj4GYJpMiQFP/rWoaZFWFrGlQJKk5z1SSdJMuRcWFKQBA06ynyRhdoWNICQXt1LFj/PuaLq0B8FDlRsgKg59//Rn/d+sDEEUJQl0dEAxBUZoDchRFL28lCIkBPDwoikwKxInJb70bDYIggiSJeI1EhmFAkoG0IRq9dLMwk5uXqw9f6PkALAjIs88+O+27M844w5bB+PDhdZAEEReWTIKvLJMw1TQNiqZBAZo0KTVOJxjzj0qyHBemmqaZS5MxuooTBC4566z4ny+8/ibO+Ntl+OzNz7B3t574fc2POPXyU3HnXU9g4MDhGDCgDwANP/zwS5OmSMTLWemFgZuFoqLoGiVJ6tdA03qSfqofMV8aRy74Qs9HsWBaQD711FNOjMOHjxYHgiBAN63KWYVpgg9OURSdFakpYjc1NSZRmCqKohPmA83aqUEJMOX4Y9G1c0eMGFyDXXVRPPTMAxi4zwD06FwDWY4VBFbiNSBlWY7XPtRNrFLTGGSwbCAttSMXD2m2Y6zm5vlCz4eT8L6H3IePPQSxosE0SQJNZA2JAjTx3ypFQQMgK4peLYaikn2msqy3QxCQY8JU09M9KIrCoQceCGgaysMCtu3YgJOP+QtaqRK+/e83ABoABFBX1wCAAEGQYFkGNM1A09Qm9woBggikcbxm0xJTA138NAUfpQBLVHOp2LVrFxYsWICNGzcCADp37owJEya0SGadeBTrjz/6Uaw+SgKapunmXlXVyzwlcPPGhGn3ffaBAmBX0pllAIIAZDz33Atxmrrt27ehqqp1SUSg+vCRCQ0N9dhnHweIAlLx5JNP4sADD8Ty5cvjEYDLly/HqFGj8OSTTxbavHcRK2flf/yPxz8EqQcPMSyLUFivfRgOhxEMhfDrunU464oroFEAGQIYKuEZZyJAcAdA1uM/D89GRNmCiLwdI0bshUefuBsRvgGffLYQkyePQW1tLRRFw5IlH+Kdd16HqgKqCqxfvw7RKB//2//4H698jKDgLeCdd96JVatWJUWwAsAtt9yC/fbbD+edd16hXfjw4SMTcjnucuQp/OPmm9Glayecf+5pIKoI1O7ehg+Xv4euXTshGo1i3wEHgZOBZauWoVV5K0iyhNZVrcEwCjRNxiPPPIzefXoj1KYB5dUi2neuBNt6NziSx9vvPYON6zfgsCNHgwCFgw/ug39ccwPOnXopVny5DHfMnoU5c95CdXUHLFr0HiKRBkyefBoAYO3aNejYsTPKy33LjA9vgCy0AYIg0NDQkPZ9Q0ODz6/pw4dZWC2clyPM86PPP8dBxx+PRqURfJCHFJBBtCJQ3iWMvoN7YfGSudh33z5o3boKlZUViNEqh0NhhENhVFdXQ4OGxsZGAMDhEw9H9x7dAQIYut9QPPzUw6hs3QrhMhb3PnI35r77EkKtVARaiXjm1adxzEmHIdi6EW26EOgzoAfC7RsgMOuw6ONX8fpbc8BhM3hsxeGHD8bzLz0EXq7DR5+8i8MOG4hNmzZAURS8997rePnlOfHL+v771di1a6eFCfbhwzgK1iDvvvtuHHrooRgwYAC6dOkCANiwYQN++OEH3HPPPQUP0IePkocTeQo5tEdN03D0WWfh6InjcfbZJ6O8axn26t0VfEhAuzbluO/+m+PHNjZGEA7r5OQcJwAgoDTV3qZICiRFxmnoGFqn9RMEAaFQSA8qiimpGoFYma34xlgDDh5zsB4UqwEDBg3APQ/dE//9zgduj40Ymibh1fdeQZeaLgi2jqBjjxAOPHQ4KrtykMj1WLbyfWzeuBnHTZkIAhSOPmYkZl53E84+52Is/eRjzLpuBl55dQk6tO+Md999FfX1dTj77EsAACtXLkP37j3Rrl377HPrw0cG2BKkoygKVqxYgU2bNgHQg3T233//eFReS4JPNecDQPHKKWQQhgRB4Km5c/HQM0/j84VvQaYU3Pive3DwISNx7LFHZGxGkiQoioJgUI9IbWyMoLw8DJ7n8be/3YBvf/gfXnzzJTAsA03RIKs6gxYBApqmQVZkCJyAQCgAiqJAgEBS3eamOs6x8SVfA5qP1QANzTVljU2Bhh+++wHtO7RH+w7t8cvPv+CVF17BlTOvBE0zuP3G27F5Uy3+/eCDIECh717d8M9Zt+DMsy/Epx8twTVXXY557yxFdbsueOutF1FfX4cLLpgGAFi6dAl69eqLjh07GxqLj9KEowWTjWL58uUYOXKkU80XBb6AbMEwWJuxmOOIFU6ub2jA8CMnYdZV0/GXk4/C8tXfYMGiT3HDDdMTkvQTJVEzIpEoWJYBw+gGJJ4X4hRw0SiHYJDFuu0C2KAuMIPBIBRFgSAKCIfDzU2jiXCc48EGWNCMTr+naZo5gQk0F15PPC/z8E1B0zT8tvY3tG7TGm3atsHa/63F26++jb9e+VfQNI27br0btZu24I577wE0Cn26dcP1N92GM88+Hx8tXITpV1yEBYtWon11Z7z6yrPYtWsnLr98JgBg0aL30LfvAHTtuhdUVYVftq104AkB2a1bN6xbt86p5osCX0CWGLzIJG1C2xRFESSpFwi+9o7bsXjpZ/h04etQaBV33PMfHHvsERg2bJChbmNaYyAQiC/kchMpQSDAQpYVxEgJNu7kQTBBcBEOwVAwThIgCAJC4VCaFqhqKrgIB4ZlwAZyVOOInWdQ+MUFamyVcvBWapqGTRs3oaysDFWtq/D7r7/j/Xfex/mXng+KonDfHfdhS+1W3Dz7XwBI9Knpjlk334YzzjoPixcswF8vOReffPod2ld3xgvPP4ndu3dixowbAQDvvvsaBgwYiu7de0KWdRu2nyZTPLgmIE8++eSM32uahvfffz/u2G8p8AVkEZBPyHlRCCbCxPg0TUNdfT2qKivxy2+/Yb8JE/Dqc49i3BGj8dnyr/DHH+tx3nmnmh0AeF4ASZJN2mWzdIpEoigr06NydDNrGb74YiWu/PuteHruc6ioqgDP6VokCEBVVfAcj3BZOM08GhNmjQ2NukYZ46DNJdya2iBA6P83zDuL5uMTVzCXHgNN07Br5y6wLIvyVuVY98c6LPpgEc6YegZomsaD/34Q27Zsxz9vmgVoJPrU9MANt/4Lp595LpYsWIjzzz0Ny1asQXW7TnjmqUewc+cOzJw5GwRB4LXXnsOQISPQq1dfCIIAWZYQDpf52qmNcKyaRyoWLVqE5557DuXlyTXhNE3Dp59+WmjzPloyLKYppMELC0euyht5xrepthadOnQAAJxwwfngJQFvvPo49hreBTfdPAP7Du8DtjyAceMOSuwQGW2YKYhpjTpHaiwmQD9OEASEw8H43yzLACBQXl6GrjVdIMkSNFVDrICy1sTEEwwFEY1EEQ6HdZNovFX93+Xl5QABRCNR0AwNiqKS4xESh0o0nxfzbya1l23qEs5D/BFqMu2maLdOCE2CINCmbZv43926d8PUi6fG//7b3/+WdPzPG34GCCAQEjFo/164+8G70alnADRdDwQaoNENEOh1gEbi7/84H7NuvgU1vdpi8ccLcMHUM/DFip/Qvm0nPP7YA9ixYwduuOEekCSJ5557FCNGjEbfvgPAcRyi0Ua0bt0Wfm1ee1CwBnnCCSdg2rRpOOSQQ9J+O/zww7Fw4cJCmvccfA0yD8xEbJYibAjGaWhsRENjIzq2b4+Pvvwc40+agq8/fx8Dh/XDZ58vB0mSGDNmVGrHMLvSi6IIAGlaY+w3giDANFHaqaoKUYz5IgnsbBTBa6yuqWkahNhvCZU7OI7Tza1IFlapfkaO4+ICMuYfjR2T0V8Zu+JE82oBj42RvrwERVHiBaRrN9fiy6Vf4ujJR4Omacx5dA52bN+Bv82YBk0lMKhnf1x7wyycesY5WPTBh7hw6ln48quf0K5tRzz04D3YsX07br31QVAUhSeeuB8HHHAoBgwYgkikEbt27UCnTl1bZDBlPnjCB9kSsUcKyJYu9HLBhuuTZRnf//wzhgwYAEkWsf/RR2PggL545JE7oFEa3n13ISZNOgwVFanPkxXJoEFR1DjJeUwAJv6uqlo8VSMGnufBsixIkoSmafh9/VYodDnKWukEIDGNEUDch5hYXDn2fTzYJoNg4zkeJKWbXFP9lNmCd7Jcoj1CrshmWjugabqGT1EUtm3dhq9XfI3xE8eDpmk8N+c57Nq5CxdffglUBRix7zD8feY1OPX0M/Hhex/g4vPPwfKvf0Lbth1w792zsW3rVtx99xMgSQoPPng7DjnkcAwePBwNDfWord2IHj16txi/qVEBWbJ6+M6dO3H66aejoqICVVVVOO+88/L6O8eMGROPNIt9Lr74YpdG7DFYTUhPRUsQjrnmwsL1aZqGNWvXYt3GjZBlCc+//TqGTpiA9fxGkJ1JPPTIbbjhlisRrgihrCyMU045LoNwBLI67XJAFCVIkqTnLaYJRx2SJKUVLiZJIm6W0zQNfXruj9defi0uCIPBoK6RNgnBmGAJBoPgeC4pBzIu6BLNnBoQDAV1DZIAREGEIAjNV9p0jqZp+S4xud38U5KznaSxEs0+1dh1F9S+CyAIIq4BVrevxsSjJ8aF2JlTz8Tf/v43sAEGwTCD737/FmdfeBrYMgWjxw3Di2++iI49wgi14dBr387oN6Q71LKNkAPr8dzzD+H7NZ9BpGrx0dLXMWZMf9TuWAtO2ombbp6Gv152GmRZL+F2112z8PXXXwIAdu/ehe++WwVJkoo2J3bCsgZ55ZVXZm6w6aXp1asXjjvuOLRp0ybjcYVi0qRJ2Lx5Mx599FFIkoRzzz0XI0aMwIsvvpj1nDFjxmCfffbBzTc3J0qHw+GcO4hUeFqD9EqaglfhoLa7fedOfPvjjxg7ejSiIodeB4zCaVMm4193XIMox+GXX37D8OGD85izrGmMaPLdxSJedcGYua1m0yqd9HtjYyPKy8vi373y6nvYq98g1OxVE+8mGokiXB5uNrM2BdcoigJJlpJMsGk+wAwamiRKcQ0oGEoW2CmXZ2YqnIl4TUxTKQEzrZ3YvWs31vy0BsNHDgdFUXjzlTdRX1eP0889HaqiYfyB43DptMtxwl9Oxgfvvo9Lzj8PX/33Z7SpqsatN12HLVu24D//eQEUyeDWW6/GhAnHYeTIg7Fz5w6sXfsTBg8e0VQhxj04bmIdO3YsVq1aBUVR0KdPHwDAL7/8Aoqi0LdvX6xZswYEQWDp0qXo37+/tavIgp9++gn9+/fHV199heHDhwMAPvjgAxx55JHYsGEDOnfOnOQ7ZswYDBkyBPfdd5/hvgRBSNrp1tfXo6amxj0BuSebNwuFg/MjSRKWfP45+vXujY4d2uG+OU/gxjv/ja2b/4uyijJ8++2P6Nmze5PQyTpA5F5ps+VEJP8tSSJEUdKDZnJcryTpO/5AIIhEKRIrMpBoPotEeeyWA01HNKeEgEhOT4iZRmVJhqLqKSSJZtY002kG4SXLMlRFhaIocZ9mxmlIv/TsSOzHoUCdjP0g4e89EI0Njfht7W8YMHgASJLEe2+/h/q6epxyxilQZAVHjT0KF/31Ehxz/GS8/858XHrBBfjqvz+hTetq3PDPq1G7eRMef+I10BSLf/7zbzj66JMwevRYbN++FT/8sBojRx6CYDBoziSfAY6bWI877jiMHz8emzZtwtdff42vv/4aGzZswOGHH45TTz0VGzduxCGHHILp06db7SIrli1bhqqqqrhwBIDx48eDJEksX74857kvvPAC2rVrhwEDBmDmzJmIRqM5j589ezYqKyvjn5qaGvMDLsTN29LNm4XCZvNoLvywZg3e/vBDyIqMBrERk88/D699/A7orgzOu/xU/PrrFyivLAdBEBg8eN8swtHIKpp6TanHNf8tCAJUVUNZWf40AEWJCcf0NlJ9S598/AXmz5ufpC3RNA2RF5MCdWKRpzRDgyRICIKgm1mbokkTTaeapsVNmYmXSdM02AALNsBCFEREGiPZLz/Bz5kTif3YZZI10k8JmmntRHmrcgwaOihurj/quKNw6lmn6pYNlsGCzxfgxNMmgw0DRxwzFh9/9TE67lWOYJWA8UcfjONOORJ01U4o4Y344acV2N6wBiK9EZ9/9TZOO20Cdkf/AKdsw/QZZ2HKqeMhyo1QVQnTp5+DTz/VA0K3bNmMDz98GxzHAdA3s1ZDbSx7XO+66y4sXLgwSfpWVlbixhtvxBFHHIErrrgCs2bNwhFHZKa6KgS1tbVo3z6ZV5GmabRp0wa1tbVZzzvttNOw1157oXPnzvj2229x9dVXY82aNXjjjTeynjNz5swkc3JMgwRgX5qCj/zIZiJ2cG7rGxrw0ltv4ejx41HdqS2eenMu3nrvAxx95ni0oVvj558/RU1NZxAEgbZtjboS8o03JQciy2+qqoLjeITDIUM76UxCMNdYXnrpLWzYvB1HHXdU0pCYAANFUUDRVLzfRCEpSzpXayAQSBIKaYEwGbqPpYMwLANRFCGJEsoybDISha6p/MmEaXXSVJro10xKRUkx05rK+2yBCIVD6N2nd/zvwycdHv83SZKYt3he/O+Jx43HlyO/RPuacpCkhMlTjkRDQwOYqjooioKNtWtRL/4BidmAL7+ej0svuAirvv8JZLAtrrrqCmxYvwEvvfweKJLFXy89E0cfnTl/PxWWBWRdXR22bt2aZj7dtm0b6uvrAQBVVVXxUHMjuOaaa3DHHXfkPOann34yP9gmXHjhhfF/Dxw4EJ06dcK4cePw66+/omfPnhnPCQQC2e3juUim9+AH3xa4xW2agg8++gj1jY04dtLh2C3V4bLrrkP73u0wedgkXH/LNPzr7mtANeUTduvWxYERZAvMaVZVdK1RRVlZOOX3zJAkCQSBhDzIZCTnzOltPfPMffhzO588JA1gGAbRxgRfZHwPqP+DYRlIohSnqEu7tAwm1qQ0jKYgH5ZlwbJsXFCGw2EQZPI1JgpoA9OQ8dzEMTQP0yEfY8pcJY276fe44E443oe+Dsf94QAOHXdo/N80TeOVd1+J/330XyZh9GH/Rdt2rUAQEk45+wQ0NjaCbd0ARVEQFXdCprca6teygDzuuOMwdepU3HPPPRgxYgQA4KuvvsLf//53HH/88QCAFStWYJ999jHc5owZM3DOOefkPGbvvfdGx44dsXVr8gXKsoydO3eiY8eOhvuL8cSuXbs2q4D04SByCb5cmw8bsW7jRjz87LP4x6UXo7xNGV54903sbqjDSRcejW5EV+za9WPcVFpZaSSYywmHV2IwTQRlZam+xuz9xYJgsm3yYkE7qW2RJAmGJtPdoBpAM7SuRVJURl8QwzIgJCJdSCZMTaKfMi4wMtznmKCURAmiKCIYDMY3KGlI9TdaFZga0q/bSSQ96snacVoqii8084KiKLSrbhf/e9TBo5J+e/bVZ9FQn16iMRMsC8hHH30U06dPx5QpU5K4Bc8++2zce++9AIC+ffviiSeeMNxmdXU1qqur8x534IEHYvfu3fj6668xbNgwAMCSJUugqqopcvTVq1cDADp16mT4HB8WUATzaC48/MwzaF1ViWOOOgK75N2YM/clnHTu0divw0DMefaepPSI3EE2iUjW8uyGJEkQRcngeJpXUo7jmyp2JH/f/DcSyM2b8dFHn+Oaf96Jl96aq0eYJpgn2QCLSGMEZeVlcW0nVVDSjE4zx0WbyQQyCYI8w4+DYRkwrF5uq7GhEcFQMHNOXqqstyJUMu093BSYyG+mjY1pTzfTOg3LQTrl5eV4/PHHsWPHDnzzzTf45ptvsGPHDjz22GMoK9Nf4iFDhmDIkCF2jTWOfv36YeLEibjggguwYsUKfP7557jsssswZcqUeATrxo0b0bdvX6xYsQIA8Ouvv+KWW27B119/jT/++APz5s3DWWedhUMOOQSDBhkje/ZhAR5IL1n13Xc4b8YMcDIHnuaxeMVSrPr9e5R1C2PQAf2xuXY19ttvIABkzR3MDyPXZy1QoLExApIkU0yq+cciSRKYJkGVeYwEZFlJaLO53fLyMtTUdElzkcQ0P5qhdQq6RLNhQhCMpmkgKRKBQADRSEIgXLahp8QuZcuHpGka5a3KQRIkIg2RpAjzjEjZD1jmRXEj4MfMOJr+nVh7MzF4KuV2+rCIgmkRysvLiyJgXnjhBVx22WUYN24cSJLEiSeeiP/7v/+L/y5JEtasWROPUmVZFosWLcJ9992HSCSCmpoanHjiibjuuutcH3uLQCbzqAUeUiegaRqumDULB40cgaOOGo86rR7//d+P2M3Uo1P7Dnj1jceSzHrO7sCtqx6KIkMQRBNabPr5wWBi2kS6/ZEkE1f+5hV1xIghePSJ+yCATdIOY4KQZVnwHJ9e2aOpKUJrMtVSJEKhkJ5DWRbOGiATy6mMN5Fq8kyZOpIiUdaqDJqmIdIQyV9FJDYuC/7KbG0ljTsxAKcYm8E8ZtrYMUUbX4miIAG5e/duPPnkk/HAmf79++O8885DZWWlLYPLhTZt2uQkBejevXvSbrGmpgaffPKJ4+NqcUjVAGNCMNNLVsQXb96CBXj+jdfx/GMPQCJlbNpVi3qyEWVdwhjbZTRWTnw/YZhujDOD1DCBaJQDTVPNNG5JyNZWc5+xyhzZzyPijDuZftc0Dbt27ASCFfExxBfXJkFDUmRagE0S1VzTkAiSSBKSSVpPSuBKRrNhFqEaOy9GhxcTlHSS1pwFBfgrU/uPtwcbBbANSGM0in3nm2kNw7KJdeXKlejZsyfuvfde7Ny5Ezt37sS9996Lnj17YtWqVXaO0UexkMk86pEXKRKN4qizzsTbiz8Ez3BQyxSorAqttYay9mG89sbjOP/80wrspRAbVapNLlO76e2rqtpUtDiQ0TdoBDrPaiZmmuR+RVHKKkgkSULvHsPwzlvvpF1CTAgyDAOe1yNd4xU5YjmQKUgUks1fIt3smajlJZ5PEMnCLAPKWpWBDbDgohxEUYSiKJkPTOw/ZSwFwyum2FzIYqZNNGv7ZlodljXI6dOn49hjj8Xjjz8ed5bLsozzzz8f06ZN80tdlRo8Yh7NhQfmzMHHX36BF596CGitoaK6FcIdQwhWh3D8SZNw/EmTbOrJasCNUbUhs/CMJdmHM7HJGGpbX+U1Tc1CaZfcr043lxksy+LFlx9Fr4FDE87WtY+YFhIrrpxmtssSKBMTkqmBOzFzbNo5qW2lIsuUxHInY1VECBBgWAO+5VR/pR2aVSaBafT6XEbitaZd9x5qpi1Ig7z66quTIslomsZVV12FlStX2jI4HzbDRdaZQhDTKP7csAEDDjsMS1Z+DrFMRPXebdBnUC+w7ViUtS3DSy/9B4cfnl5mrXBYnYt852Wefz3pn0soaGx9TI2N0RS/Y2bE6OVyjevoo8ehc9fOzYcQaGaJaQJN0/FAmYwaSNPQ46ZXkkAgEIiznMR+TwORfF7ab0gfSypCoRBYlm0q5SVCFIznZKdpVnYhRWDGGIY8X1QpYb+YRvrQgjVNyxpkRUUF1q1bh759+yZ9v379erTyGon3nopUrdBDQjARsZw6APjrtddie91OPP34vWi7TxUOGrM/2u/dFmwliymnHY8pRR6rNWRXF0RRjFfLSN6VG9EYk4/hOC4h0jU3JElKyI3M3M9HSz7DjoiGCUdNiAejpAbPUBQVr9yQSwNJDGQhKRIsw2YmE0i57FyaSlIwSo7jAk1pLqIoxufbDDl2qt/ONg0qiznZC/7LvMjiXk/zFXtQUzYDyxrkKaecgvPOOw9z587F+vXrsX79erz88ss4//zzceqpp9o5Rh/5kG336VGBqGla3He17OuVaDtgX/ywYQ3EChGjDh+OSceNRahdCOVV5XjkkdsxYEDfPC26DbPb5XRzraZpEAR9DgKBgAXhmAy9JiBpYOHW4v3rx2a/lmefeRVzn5+rX0GqNpVwSRRFQeCFePO5tL5YdxRNgabotDSNfFphpp8zpTpkQox0gCRIiIKYrMXmQ6ZAF6fgZf9lHiT5ioHkRz81FaUEYFmDvPvuu0EQBM466yzIsgxN08CyLC655BLcfvvtdo7RB5DZRxiDRwVhInbX1aGqshKqqmLcKSejV68euO/fN2GfA3pgxt8vQpuaKrDlLE4//QSHRlDIVtZsRGpuASeKOlUcywayBMkYGWNyH9EoZzAdRD9HUdSkvzO1OXfuI1i3Q0z6KVP6BcMw4GQu3lyqVpQY/RpfJAk9l1ITtWbuVuTXClPTQdIuLVFIZjks5o+UZRmiIGavIpILqdOWoz/LKCH/pSFk2GSkFaz22DVZLncVQzQaxa+//goA6NmzZ5aw9JYDR+tBFol/1AlwHAdBFFFZUYG578zDmZf/DRv+txJV7Svw9rsL0L59W4wZMyp/Q5ZhPf/Q3jaSEUu8txqhqiNdOGYO7MkM3f+ogKbzB66s38GDYoPZUyKa/i2JEjRo8etKFHCpwi71b0mUoGrpdHg5CcXzBdGYCLJRFAWKrECWZITKjJG/Z4NrASyJAqUUTLIm4IaZtqG+AX279s1b7sqUBpmtSHIm/Pvf/zbT9J6HmADMVvWjxISjqqr4fd069OzeHYIooOfo0Tj3zJPxz+uuwCHHjsST4btRXl2GQDiAk08+xoURpW6/nW4j9yolyxIkSUYgkE1rNIrkfvRcxlyCLl2acRxvyFf54Ycf44ab7sNr77+RPOYMyjTDMs1mVmTwR6bkPCYKkmwE5/HjtAxCMrd1OK7JGqnakVhFRBIlSJKUnK9pAqmakWMCM5NBw/79XFGQNl+5fJwOw5SA/Oabbwwdt6eEABtGrhSKEp6r39etQ0V5OaoqK3Hnow9h9v0PYvOfq8C2C+CxJ+5Anz49Ea4MIVwZwllnnVTs4RqAlZUlf0qIKOqFikMhk2a8jEjWxERRjFM7Jo8n9d/N52ar6pGKGN2cnleZMPYs00SQBCRRak6pyDGdqUKTYRmQMgmO45L6yhukk0e7MBrIEzs2XpeyqYpIKBQCSZnc0CSYmV0lGc9ikm1JaRmZ0k+cNNMWbGLd05DVxNqCzKPZsGv3bvy+fj2GDhiAnfU70WnwMNx+y0xcPm0qNm/Zij/+WI/Ro0dkycFzCt7dLmuaFicLL0xrzIxUYZJnNIjNU7Kmlnv+tjeIEMHmPjThe57jdXLz2PdA0oKdZPbM0J6qqLpATjUZ51n8jAqBNKafPIgJykAwkJkc3SyK6WtrIRqmYaTuFdH8tyMmVh85UMLm0WwQRRFfrFyJIfvui7LyMK77911458MF+N+apWjdqTUWLXoZgwf3BxNg0K1bF4fqIyYi0xtezJUmO2LVN4ymXZjtUxTFFD9mvjER8fOSNcjs52iahp07doAKVekCKzUwJS7nkgNnZFnWhUmqGZRAMilABkWXpEgEg8Fm7tb8w9R/NvjOmdEogYRyW5KESGMT52sh/uNiLg0ppsr41y1kvUpDJjM0kJUIPxPs39b6KGn8+MsvWLpiBSRZwp/bNmDsSSfh3RWLQHWhcPWsS7H087cQCOsa0SGHHGCwRmKhSN122/FCF2I4yd1/NBpNqb5hBxIFkARVVVI09VxjSr5WI8E5AFBf34A+PYZj4QcLcw0naYENhoKQJTl79xmGqSF5wcpIS5d+Um7k+T2RN9YIGIZBWXkZaIpGY0OjqULwOZGQFuOaMY9AnKQ/Pg8lmFJiFWmpKDnga5B7OHbu2oV5Cxbg5GOOAR2iceP992DD5s345NPX0bvb3vj++yXo1683SJJ0QUPMBrt2uM5qnqqqIBrlLVffMApJkk36MxODemTDGlBFRSs898J/0G+YXhA91WSVaC5N1MhUTWfpIUkyYzBNaqBFJg0mleA8I3IozTnTQWJ9pJCsG9GkSIpEeavyeBURmqHjRASWkMFf6TZ5eEaawD3NHJsFvg/SJBxN83AJ7y9ZgmAggANG7Idv1/6EA484Fp9+/AYOOmR/1NZuRVVVRTrDiasovbcyVn2jsPSN/BBFMR512YxcgTnJfyfmHBpBfSOHRi2UuelEpPyWkSXHAjRVA8dxmYWkEX+eCYFjNZgl2hgFRetRsLb6mj2QGxifkxYW8GPUB+mbWPcA/PrHH5j9wAMQJQE8eNz1+CN4et4rCHQLYMRhQ7Bt27c46JD9AQAdO7YvknDMY4fzKDRNRWNjBKFQMIdwTMxeN9xy2je6WU/LEASVxdmS8rcgCCkFofOP6cMPFmPxgsWZm049PeFvVVGTTYYWt+EESSAYDIKLZmC9icfE5WjcxKMU1+BM6gzh8jACwQAEToDAC/mriBgeELL6Dd1CppJZ+mBcH0pR4AvIFghN0/DAnDlYvPQzRKQoft60Fnc+/B9sIbcj2DmIee89hWeeuz9ejaFt2zbFGGXK314Qiubeep7nIYoSysvL8uyqU1Y6Q0g+XtO0OPuOOTRfk6IoKRpO/jE9NedlvPHyG0njyHh6yiWGy8LJfroc0aepf6d+R1IkAoFAnJ4wCURKukcGxH83cnsJk8cnIFQWQiAYgCTpOZ2SKJlrIO/Qmq+zWIa/NIHZwn2XvoBsIfjiq69w7e23Q1QFcCSHZ958FV/+bxXK9gpj4uSx2L7je9TU6D5Ep31kueGk3ajQt9TYmDRNQyQSBcMwpsyVhUAQBAPm20zX33xNydGrOdS/BMyb9zTuffiehNaa20sTZilNKHK6JpVvYY8FjqSCpEjQFJ1ZSOoDyy3UzO5REgWAyccqGAwiGAxCURUIgpDGN2sZCddgVdu1Haku/USB2QKEpi8gSxQcx2HGTTfh4y+/AE9w+GXLb5j/ySKo7TSEO4Wx4qv38M9/XgEAGXxWxYAbDhXntVBRFJqS88OuzakoCnFtPxnGtXBFUVJMf9lNsYmgaRoUmSGIAxmEWUpATigcShMOaVU+TBB/0wwNiqSyCxwrinouJLZnYbEPBoPxDZQgCNmFu1UQSAqS8oRAyiIwiy7ILcIXkCWEV+bNw4ybb4ZACJDLFHy2ajlqxW0Idgrh7AtOxur/Lor7D51ITDcPL/sVzdmGNE1DNBoFQZAGtEb7FoNYzcbM2mO+OU02r4ZC5tNO3n77Q5x2whlGukgbEkEQaVqkqYUyg4bEsAxIgsytlZnRXgyaXQ35O7MgEAggEAjEhbvtghLNqQuup4zkQqrGi2argyfGZwBeWEV9ZMHmLVsw+bzzsPy7byAGRGzht2PDzo1gO7Jo1bEcK76ajylTjgPg1WRfL44pBuPpHnrSv4hgMJgS5JKv7cKhB9ZYjYxtHoeipOQmGpQgrVqVoWPHDsnap4l9TyAYSPLFZXxOmzTPtEUzIQUiEXmFpInpz1teK7XpAoooM6xuko8VmeainO2CIjY+L/grMyEx/zJ+z70zvDT4eZAew23334/tu3fiXzddg1CnAOr4eiitZLBtWVw+bSounza12EPMgNJLyzAKQRBAEIRrvsbUvmmatmnzY8ykmorDDjsIA4fvD4loNien5RjmyCyhKAo8xzfzs8YOSU0XIJDMspM4zAyPF8MykCU5ezqJwSlLpL0zk38Yv34Ljz5N06BpGqqqQhIlW6qIZBhg8z+9Wk4qdQOUmHvZ9Hux4WuQRca3P/6I/SZMwNpNv0MMiwi2C6CqcyVCHUOo6liFJR+9ilGjRhR7mClINU964Em2GZIkgud5UJSR3Eb7IxJUVQFBEAY11vxtWW1H0zTs2L49qbhwrmoLmRAIBCDLyRpsRiabbO2k+DZjoBkaDM0YKnycV4uyGGRsVgNNBEmSYAMsQmUhSKKEaGPUOW0v1UzsRa0tV8BPkeALSJeQ+OCfdcXfcPXttyFCRdG2V2v0G9QbRGsCbBWLGf+4GDfcYLysWHFg3DxZitCrb2gIBoMGCKpj215754LjskWtml8tolHeMtF2be1W9Os5Aks/Xto8gtRFPIMfMvEYmqEh8unUbJnMp9kW72yCiKIpBNhA5jxJk7CS3pGkgVoUbrEqIuFyPTUm2hiFGi9obT886a9MReIrVUSB6QtIBxHz28xfvBhdhw/DDmEn+DIeQw8cgEEj+6GsQxhdunfCCy88iJ49uxd3sJ5AcV9UVVXB87xBk2psJbV/kxCNcgiFspE1mO8vd73I3KiubovnX3oEg/cbnDACcxokADABJn3Rz2RRzcKTmYs7NZHgPBsMc69a3esYyMc0gkAggHB5GIqqIBqJpmnedsLr/so0FCFC1vdB2oiYP0RRFOx/1JE4/piJuHL6heg5vDumnj8FRCWBYGUQ06+8sNhD9SiKp5GKogBFMVOz0ZmxqqoKms6U0mEUyUJb07SCmF1omsbRR49HREuYl0yXnrJXSBWiDMMg2hhFuDyc87xcyFUmywh3a67zbUPC4l0IpyrDMGAY3c8abcq5TfXj2oZS8FdmQkqErBN0eL4GWQBEUYz7Px56+il0G7k/+AAHqbWIqRedirGTRqOsXRn69OuJW265Cm3atC7yiHPBAwb/gmB93DzPgSBImwoaG0Xm8XIcb4EtJxHJC4MkpZbFMo/33l2AT5d8aqZbAOk7e5qh42krSedluXVZNYMsa5+hKiBoMteafVzMHm+TRkkzNMJNObfRSNS+KiK5kKpFl8qSEBOYiQFUBcIXkBZR39iA6kGD8PS8V8C34nHIMQfgX7OvAdmKQrA8hL/+9RwcdND+xR6mAaRuF72+bcwG8+OWZRmNjREEgyFbgmGMIfv2PBKJ2lAiK3lV0DRkIDQwt3I89sizePv1t3M3kcEPmbqLZwMs+Gh6DmAhgS6pMCIk42ZcM91afS1sep1IikS4LKxr4pGoI7mUWZE4V6UgLDOYYq3mX/rVPEwiVs1j29Zv8d78xRg9egR69epR7GFZQDFSM5zo01qbxn2Nif3AUl/JbWQ+X5YlAIQ9VesT0NgYKZhaUBRFbKrXwCbMVZoZK9P0ZLhcURDBsIxxE5jFR0ZVVAiikN8qYNYUatV06oD5z7EqIrkQ8/s1/cOb+df5UV9Xj341/fJW8/B9kBbBBlicffbJxR5GAWgJwhGm29Q0FZEIZ0FoOJGL2AxBEFFWVihHbvocFxKgEwPDMCCJZNNeplSPeJ3HhO9Sh8SwDLhohvJVVvYfOc4hKRIsw+Yvu9WUi2dYcJnVPBPPg70CJebP5SKczlXL0M7TH2YzY5aYnDR6H3wTqw+XUPw3SKf5EkwIR/vzGzNBN63aTyDP89bTOxLx6qvv4Jwp5yZ/aXRaUuUoQYCiqYw5kBlNrU0CKaOhKzGvLwMomgJN0YbIwg1HucJaOkgabHysYlVERFGEwAu2VxHJiVL1VxqELyBbJFrYU2rD9TQ2RsAwjMlAHPvzG1MhiiLCYbuCg9LHaofpraKiFarbV9sWTs8wTEYfWmK6QcoP2ZEnGIZm6PzcrVZQ6KORmKpg0+saCumCUtXUplJsLgT0pKLU/JV54JtYWxScSVo33q83zKiJkCQRsqx4oMRX+jWoqgJZVgqOMs0G4+a83Pdt4sSx2G/UaMiplTuM9pfSfKwySSa6uTQzbb62DYBhGUiiBEEQcvqci+JPi702NpoqY9cYu2ZoOieua0jRKAtJdyk2fA2yRaFYD6E3I2AjkaiF9A27t73ZhQ/HCRa0R2PjUxTFhMaX+76pqort27bZGjkZI+xOG0mOhTQnRVoe32CM4NzUNVh5FKz6JxM1SpsQI0cnSTJeRcTVmMym6/JcSS4T8AWkjxYHRVHAcRzC4ZAFH5ydQj67cBQEK8IRWdtLhaIoGYJTrK1Of/yxHvv22h9ffflV/uaymEhTF2aKokxrFdlYdhL7ySckcxZdzgQL+Y+W4bCgpGk6nrtdjOSFtPtXAsLSF5A+WhQ4jmuqfWhzdQRTyE1DJ0kSkNXsZM+qIUmZKMqs9delS0c8/9Kj6D+gf97msuU0ZrpWkiAh8Jl9g4Us4LnOjROcG+FuLcRbkS2wyCgceHRpmo7XphRFEVykOIIyjhLwV5asgLztttswatQohMNhVFVVGTpH0zTMmjULnTp1QigUwvjx4/G///3P2YFahteeHHciOq1CliXwPAeWZR3z6RlH9pVV0zRIkoxAwD6u1UygKKOvdv7+AoEAjjpqHNq2a5u/tWwBMxm+Y1gma/dZA3ZizeVj2clxLkVTCAQCeRl3mjvL3V7OcRQKB5YBktSLfgfDQeeriORDqkbpsSWmZAWkKIo46aSTcMkllxg+584778T//d//4ZFHHsHy5ctRVlaGCRMmuMtKYRhe8+sVI/jHGARBaKq+ETKZB+b+GymKYg4icnsgy7LthANvvzUfX3z2RfoPJqJOMy3CJEFmjrbMlvZhAEncnFlAUqQhWrrYWKzkPyYVBbYKB5eBxCoiMUHpZBWR3INp/sQZbzwgLEtWQN50002YPn06Bg4caOh4TdNw33334brrrsNxxx2HQYMG4dlnn8WmTZvw1ltvOTtYH45AURTwPK/X1bOkNbor9EVRaK6m7iAEQbRdQD780FN47+33jB2cRWhmum6GZdL5WeOnZNci8/KcGri1Rrlbk9o0u6fKct2W4ZDQiAlKRVUQbXS2ikg+xN+RRN91kYTlHpPm8fvvv6O2thbjx4+Pf1dZWYmRI0di2bJlmDJlSsbzBEFIirarr693fKzFQeIT6E1NMRGiKEDTdPNfKYSQK4oCVVURDDpPiM4wZl5rY6k5n3zyOmojGfbTmU7NoUFmulcEQUASpfRqFS7cViNVQNLGlNvF7CwSU2Ec6N/VKiIGEH9eErPIXJz7ktUgzaK2thYA0KFDh6TvO3ToEP8tE2bPno3Kysr4p6ampoBReMBmkBUJNg4PQ9O0pg0LUTLCEdDNntn9jlafi/TzNE2DLJspb2Vs/hiGAZGlP4NDy6r1BQKBrFpktrb0BlG4CRPNQtJw0WU7Ik0LsbomRoM6tKTEqoiQFIloJGo/0YIVFMFf6SkBec0118TV62yfn3/+2dUxzZw5E3V1dfHP+vXrLbRSooSFHoMkSeB5HgzDWDCpFm9zIopiHtNqrucinx0xGbIsI+hAUvgLL7yBC8+6KMMIskbZZEQ2v6LlupVGXikDt54g9Q1XrHydLf06eX5CO0766yiKQrgsDJZlvSUoE/yVAJzbKDjTrDXMmDED55xzTs5j9t57b0ttd+zYEQCwZcsWdOrUKf79li1bMGTIkKznxcKizSHVBrAnC0Z77CGiKELTtAJqNhbnHuhVOlBAZG22cWeeV0VRTJbuMnZ/KisrUF3drtDhZd0kBENBCLyQOcgqj1ktrxUhUdvKcahhgvOUdq1W6IiZSgtlmkk8185qIal9xEzQ0UhUnyuWda+KSI5x6f9IuHYbTbCeEpDV1dWorq52pO0ePXqgY8eOWLx4cVwg1tfXY/ny5aYiYY3BiwKxWD7GwvpSVQUcxyMUChX9ZbQCXaNzwu+YeV5V1Zl8hGOPPQIjDx0DUzpetoUqy/eqokJV1cz3Od8wjRhpiPwCJEakno+WLqnZJqJzs35BI9G2ZpFUZcOh1zwmKLkoB5IkdVJ4m4PCrCDVX6mhcF9t6a04TVi3bh1Wr16NdevWQVEUrF69GqtXr0ZjY2P8mL59++LNN98EoE/etGnTcOutt2LevHn47rvvcNZZZ6Fz5844/vjji3QVbqI0fIyJEEUxXgaqFIWjXk0jlzaXb2U0v3LSdLY0l8JWYVVVsW3r1swmNhOpHrkQKgvlrkRRYNSqflj+g6wQnOdl+cl3rg2+VL0x/X92FqHOhlBYJ0eXJRk8x7tbRSQfiJQNiMXpKL7Yt4hZs2bhmWeeif89dOhQAMBHH32EMWPGAADWrFmDurq6+DFXXXUVIpEILrzwQuzevRsHHXQQPvjgA2PmlDR4OeCmWLBv2xqJRBEKBT2Q9G8NsiyDJPMVQM43V+bmMhqN5niWC7svP/74CwYOHIe3F76N4SOHJ/0W36kb7TKHJifLMgLIrLll7ccMDEZBGiU4T0NMczFr5iSMCW/DzSUKB4f3xMGmvN5YuS2CJLzz3iZce5IJ1ujpWlG5hkoP9fX1qKysRF3dz6ioaFXs4aSgWLHn9kGWJZuKBxcXhv1YNiL7Ym7S1pkBkUgUb7+7BINGjkKbtm2MDcji45hz7gy0acQPZ9RXJ4kSFDUTr22uxi0KSSfhYpygJEqQFRkkQbpbRcQEGuoa0LemL+rq6lBRUZH1uNKzW/nIgmIIR3v3VrHqG4UJx+Lv9yKRqAGtw/5xalq2VAkr0bPJKCsLY9KR4zILx1xpGNmQ4/JzsrnYZEbNN4YYGJbRuVuNRrfqAzBVgDkbbI1OTQxUcvgVYVi97ipJ6dVTXK8iYgQGHxFfQLYYuCUc7Q/2UVUVkUgUZWVhk1RxqXB6k5D/JZckESzLGNAe7B2noiggCGdf5zdem4cVy1aYO8kCn2ooHMpb7Dfnghszo+aAGZ8hRVMIsAHjeZIJfcRp0yygEL9m5gbheP5kIhiGQTAYBMMwRa0iUgh8AenDJOxd2KNRDrIsocwIi0leOC0c87evKGqeNAv7A3P0fmUL6UjmcP+9j2Hh+wvTf8gTOZrt+2ybCIIgIGesRpJ8jJsgKRLBYNA4LV0TCIIo2LcY0yRtEy4uC0qKopKriES53MQQHkLJBunsmSgC11Ja3za1pqmIRrkC0zfcmgdj/TQ2RlBens887IxmKYoSWLbQfN3c+PLLd7FdMEk7ZvEWBYPBzPRzsWbz+RATQ/3zCVODx5mmpUscSwGIjcvOIJ7mxu1vMhtiVUQ0TYMoilAkBYFQoECrkbPwNciSQeJK46ZwtN+7z/M8RFGyIX3DrXnI34+xAsjObdezRw2aY+LJhWAwAJigljPURZbzSIpsqpuZpVkjGqTRyzOTu2iW4DwVhT4CDj1CMe3UDRMoQeisReHyMBRZJ0dXTNEjugdfQJYMihURZ1+/qqprjbHCrS0FmqZC0zQDwr6Qucy+cEmSlKNv++7fnDkv47LzL8v4W868u5w/Zf+RZdn89HNGfI0GYCaophAhqaHAwBuHloG4luqy6TpWRUTV1KJXEckEX0B6DqXlxDYKURQgyxJCoWCBrBtuzo+xviKRXPmHzsN6/Udzc1lZ2QrtshRNzmvuzPZTjvNohgbP5anVamQ9Nxi5aVZIBoNBS4E7RoKIig6Xx8cwDMLlYUADoo1RiELuIC234OdBmoSzeZCln8eYihhtl/WajWktwktzxHFcAfyw9kAURdcSs2vrRKhklr6y3Jp8/sJcv0uSBIqkQFI59vJ2PhImcxhVRYUgCtaeAZvyJZ0qf+VkWa18UBRF5+alKUesTQ31Dejb1c+DLDEUa+F3Zo8kimJ88bZvAXcrKCc/FEUpeoCBpmmQ8kR82gVFUbBty5acvsFMyBv8kuOeMgyTX4sEbM0XNBMMQ1IkGJoBzxsYY6a+TDK7ZGwmtbiwTXCjrFY2JFYR4aKctfm1Ab6A9AEnhI7OY6khEAiUII+qsfngOL7olFqyLBsIDrIHX3/9LQb1OQBrflqT+QCLxAD5FneKofLnPRqEISFiUijQDA2KpKyXgrLz9XNKkMXMwi4LSoIgEAqH4uZsnuddTREptZWrBaFYlm0t5f/2Qpb1mo0URVlIO8gEt+fJWH88zxtI6XAekiRbNNGZn9e+fXvh+ZceRU23zEXDCxFiua4hEAiAixjw9RmSfcbnygzhN8MypgnOUzorGLYTC6R1gKJplADigpLneXAc50pAj58H6RpSHSXFMKc6myoiiiJUVbU5YMXteTLAzymJRTetxpBbNuZyzpmf14qKVph05DjwRGaNNZfwyevPyuNHpBk6ty/TaOCLiTRisxsPywTnsXHZCRdc9cXyUYbDeg6qwAuQJRkURWXNly0UvgbpGoodWOLcG6OqKnieB0mSRY3mdAOqqkKSzBYlzgXrW3FN0/IIavvv9ysvv4lVX60y3R1BEHk1slwaKMMy+bXIYr9i0MdJkVThPrNCNTSn5yKBCalYcZ6BYADBUBAaNPAcn5ee0Ap8AdniEXMcOPPGSJIEjuMQDBaavhGDN02qMYiiaLPPz/p94Tje9UK199z1ED5a+JH9DeegngP032JaZE6Y0CINL+wmfW80Q5snOM/Wr9eR5765AZZlEQwFQYAAz/EQeItm7gzwTawtFjGh6NzDy3EcGIaxsTRVMVI4jPcniqJBgeTOddA05XoA1DerF2KXlMN86OCl0wwNjuPiJraMMMGeY9gfmSBQjQoDiqYQIHSC85CVDVUscEmzTwC5YhK1n3jLMBiWAQMmvmkHdMrCQubP1yBtg1e2e84/oaqqorExglAoZLMG4wEbWRZIku5fNXa97lyHXAR6rlAwkKOsVm4YSsTP8TNJkoZ8v7aWiYohJlBNtGuV4DzeZYzo3C6OcofSQZI70f/nyD0wCIbRy22xLAtBEAoqt+ULSNvghcXdec1Fjx6TPBHB6SYUxUzRXDtWhtxtKIoMhsklLJxZnR5++FnMuPTK7Afki1Yt8PmkqPz+PVPRnGbMpxaGXjB3a8wIZPftdFJ4ecA/CejPSjAYBMuylquI+AKyRcANu4aGxsZI0wNnF7NFMbVu430LggCaNhOUY8d9yN2GLCtgmFw5mM48C23aVKFN28x0c0D+BTFv6kSeYdM0bcxkZtTHaNYLYUFYFSwkE/sthXSQeEcJVoMivuqxKiLBUBCyLIOLcvk5fmPnOjw2H67A2ac9ZqYoLy+z0SFfTMo4432LoqgHiBj2PRrtvzAUw7wKAKedNhk33npt1t/zaYhGNMh8go0kyPyBGCaDR0xpOilCctrF0zD11Klph33x2RfoUtEFdbvrsOzzZejdqTc2b9qc9Fv/bv3TNOLVX69Gl4ou6FLRJen7F555AeNHj0fvTr3Rr6YfjjjoCDxwzwPGx50JLggur/DPEgQBlmURCocMVw/xBWRJwr0nrbExApqmEQzazdZSTJO0sb5j1eCNseWYEfj5jst/fxmmOPF1Ot3c1uxJ2vkuzUj+YZ6DGJYxZ0I1ADNE5YUgGAgmRbeWlZfhg3c+SDrmpedeQpeaZOH48nMv44ZrbsB5F5+HBZ8twFsfvoVLr7gUkUiksAG5+Rom+CeLTQHOBowxYPkCsqTgbMpGIiRJAs9zKC8v80xSvNvged7GfEczyH1/dfL34mwwli5dgcF9R+LP3/+03ki+tdFgIIkR1hozbDim/KMWGWVIigTLsPGcvZNOPQkvP/9y/HeO4zDv9Xk46dSTks5bMH8Bjpl8DE4961T06NUDffr1wfEnHY9rZl1jbgAeAEEQtnDQugFfQJYUnE3biCHS5CuxV2ssgbchAaIogKLMpFEYuS/2zIGmaSZ9ovaNY9Cgfnj+5cfQvkN7683bwGJjlKnG1ELskhmQoilQpL7pPHHKiVjxxQpsXL8RADD/7fno2q0rBg4ZmHROdYdqrPpqFTas29A8Vofgms/QC3GNeeDnQfqIQ5IkKIqCUCjoQH5dCbwNTdBNQEDAoBnGOLwyB9bH0bp1FSZOOgxCFro5oKmEU64+DJR5MppzKIlSfpoxJ6e9qe1FHyxC7069k35SlewRkxStC8iKigqMPXwsXnnhFUy/Zjpefv5lTDljStrxV15zJc4//XyMHDASe/faG8P2H4bDjjgMRx9/tP6u2mhYSoxAdYMEINaPW/2Zga9Behbualx6rpDOo1p61TfsRTTKOVClw2gIYn46NlUtrjb+0guv4ttvvs36e95FzkAAjRFzZyAQgKIaDFYyqUWa9ZGNOmQUFixdkPS564G78ndHEDhhygl45cVX8Ofvf2LVilWYfPLktOM6dOyAdxa/g8VfLsZ5l5wHRVYw/eLpOH3y6XrqglNyxa0gHhh4boqAPXsl9DTcSjbXq2/QNG1j+gbgDZOq+THwPI9AgDXxsppZeY20mS+9Q0YoVFy+29tv+z989vFnuQ/KNy02mGEBXZAZCdk344u0Qp8WDofRo2ePpE/Hzh3znsewDA4bfxi4KIcZl83A+Enj0aZtm6zH9+3fF+dccA4eeOIBvPT2S/j0o0+xbOkyAPbnHCamg7gaVOOFpaMJvonVM3A/7UEUxbjW6APQNNVESgdg7p7Zc39FUSpS4FAzfvjxEzQiB92bEdj0qIdCIb3yfJ5Asrgv0mHfnRUtKBQO4cRTTsQjDzyC519/3vB5vfvoJt1YfmXcTOkAnVyhBA8mO9NRRNq6GHwB6Rm49xQoigJZlkGSJFjWKeHoBXOJuTFEozzKysws/O4KR0DnXy02QkEW9VE1t1AykstvRKAYmDpVUaGqan7XgNlbYMBXmtR8Ab67q2+4Ghf/7WKUtcrMUHXN9GvQoWMHHHToQejUuRO21G7B/Xfdj7bt2mLY/sPSxmD7ZqAYr3MqOUIRxuALyD0MsZqNgUDAkzb/YiEa5UxW6bAz79FYezpNVvHtTw888CS+/nYt7n7w7oLasev5C5XpWmQgaNBFYPTWEdY0Jys5lSzLorpDNVRFzci4c/CYg/Hycy/juSefw66du9CmbRvst/9+mPvO3Mwm2Zgv1YSA9yQStckicIsQWrEzNksM9fX1qKysRF3dz6ioaGWxldiddu+Oa5oWZ4WxPwAl3gu8oTmag6qqkGXZwXmxBxwXRTAYyrPgGbkHhd2nOXNexjff/4qZN/2zmMNIQrQxilBZvrmxBkum0wKuTVM1vWqJKWuG/eMw1DYcbD9btzZEuzbUN6Bv176oq6tDRUVF1uN8DbIoIFL+7yxkWYYg6HUMnd1NFls4WlsNOM6sabU4oCjKwP0rPBAoH6ZOnYJNu/MUp3V+GEkIl4eNa5EmHxNLKQgF7H8TuVsLFpIuvO5up2e4mYbiR7G2cAiCAEWRUVYWduBhKn3jQyQS8YBwNDaPkpSF3s1lKIqCrbVbDBM+50ThmS9xZKW/S4UVoWXtJMuviC0E56lw8nUtwlIQvycO9u0LyBYKVVUQiUTBsiwCAScCcbxoTjU3HkkSPRLBm3/ciqIYZo/JjcJXkwULPsHQfgdgS+2WwrsyqGka8QSFy8JxCjdDMDMVFoWdBuusNDEhyUW5/AcbHYsDKFo6SFw+OtenLyBbIERRBM8LDmmNMXhNOJqD7pOVTfLMFk9jliTR5uLU1jF8+GA8P/dxVFVVFd6YCTJxI8dIomS8bxceYYIgClrACZJAIBBIIjgvZCyAs0LM1XSQWJ8Jkbt2X5svIFsYYtU3wuFimw2dw7ZtO3DJJdegW7cRCAR6oGPHIZgw4TR8/vlXAIDu3Ufivvsejx/fvftIEEQXvPzy2/HvolEOZWVh7LvvWBBEFzz99Nz4b//97w849thz0L79IASDe6N795E45ZSLsXXrDvcuMgXG6rzapbLlRnV1W0yYMDa/f8xGP6TRhS8UCjmuRZpdhAutFBIjOM9XKNrMeAA4s98r5r45RvBg43X5ArKFQJZlRCJRlJeXtXiquBNPvADffPM9nnnmPvzyy2eYN+8pjBlzIHbs2JX1nJqaznjqKV0IiqKIUCiIL7/8GrW1W5N8kNu27cC4caegTZsqfPjhi/jpp4/x1FP/RufOHeIk7vbC2NtsLP/RvYjo555+CT9890Pe44w1mP8Qo5oJSZGQzfpqTQpJK1aZmJC0KigpmgJN0YYqmBhFIeZfw30UI0kiITWk0P5LdiW97bbbMGrUKITDYcOmnnPOOSdeaiX2mThxog2jKW6wSmzhLn6wifPYvbsOn322HHfc8U+MHTsae+3VFfvvPxQzZ16OY489Iut5p59+Aj755Ev88cc6KIoCkiQxZ85cnH76CUmmy88//wp1dQ144om7MXToAPTo0Q1jx47GvffehB49uhkcpVm1JDd4nje46XHnOSQIArfcfA+Wf74893FGBbaNfkhAp29zMmDHKuJlniyCZmi9WLRNQjLRd+gU4hpdMZZIGzTKkhWQoijipJNOwiWXXGLqvIkTJ2Lz5s3xz0svvWTDaIpjV1BVNW4q9Ip/ymmUl5ehvLwMb731gamFokOHdpgw4VDMmTNXjw6Mcpg7dx6mTj0l6biOHashyzLefPN9i7tP+4OXSJI0eH/dew5/+30Fzr3o3NwHGRVqNvohAYBhGAi8SSFi9lY74O8yAoZlbBWSAJwXYARMbXAc6d8iSlZA3nTTTZg+fToGDhyY/+AEBAIBdOzYMf5p3bq1QyN0FtEoB1mWTbK/lD5omsLTT9+LZ555DVVV/TF69HG49trZ+PbbH/Oee+aZf8ELL7wJTdPw2mvvomfPvTBkyICkYw44YBiuvfZynHbaZWjXbgAmTToDd931MLZs2WZwhPYLKVvSKWxGKMgaWvAMa0xGrbEmtMhc5aaSYOWWWTS12oGYkLTLJ+mqACumsa2pbzPXWbIC0io+/vhjtG/fHn369MEll1yCHTtyB14IgoD6+vqkTzGhqgqiUQ6BAOt55hdnQODEE4/Cpk1fY968pzBx4hh8/PEy7LffxKRAm1QoioJJk8YgEoni00+/xJw5czF1anrdPQC47bZrUFv7DR555Hbsu+8+eOSR59C376H47ruf8ozN/q24F2vkAcBdd/4H1191ff4DbY4bMmq2ZVkW0agJn7FV1hurQqXAR4VhGdAUbUt0awzxYCKHhFjR0kHiA0gYh0HsUQJy4sSJePbZZ7F48WLccccd+OSTTzBp0qScO/TZs2ejsrIy/qmpqXFxxMkQBCGuNZpLT2h5CAaDOPzwQ3D99dPxxRfzcM45J+OGG+7JeKxeEklFWVkZzjzzRNxwwz1YvvwbnH765Kztt23bBieddAzuvnsWfvrpY3Tu3AF33/1InlE1bcVthCRJNuU/xmDPwtSuXRu0bl1loDej9lODHZuYXjZgTMuNw8LUWPZx2fCY0AyNABuwLU8ScDjCNbGfEkkT85SAvOaaa9KCaFI/P//8s+X2p0yZgmOPPRYDBw7E8ccfj3fffRdfffUVPv7446znzJw5E3V1dfHP+vXrLfdvFaqqguO4puobdi6WLQf9+/fOGWUaiwKdOnUKPvlkGY477ghDCzygayM9e+5lIIrV/lVFFCWDO14zdSkLx8UXn4kZV1+RvzebTaxmwLIsoo3Oa5GWkUjEbREkRSIQCNjLuGPDuAz34XF4KrJjxowZOOecc3Ies/fee9vW395774127dph7dq1GDduXMZjAoGAzTt4c9BrNmoIBoMOm9o8UHwtJ/Tglx07duKkky7C1KlTMGhQP7RqVY6VK/+LO+98GMcdNyHtLFHUgxliUaD9+vXG9u3fZfXdvvvuQrz88jxMmXIs9tlnb2iahnfeWYT585fgqaf+nWeM9s8dyxqt/ejufZNlGVs2b0aHrt1sKVllavgm4qAYljFtpnaTd9UOkBRpH3drDAk5n06b+GNavhddCZ4SkNXV1aiurnatvw0bNmDHjh3o1KmTa30aRWL1DXcEtPcezmTo4ysvL8PIkfvh3nsfx6+//glJklBT0xkXXHAarr328qQzFEWBpqW/eG1zVGzv338fhMMhzJhxM9av34RAIIDevXvgiSfuwpln/sX+y8oBffze5Lt9++0P8Ze/XIjvfv8uc7klCzC8GBPGj2VYBlyEQ7jcuOBwfaG2QcDaSnCeMC4ChOPCP82s66GlqGTLXa1btw47d+7EvHnzcNddd+Gzzz4DAPTq1Qvl5eUAgL59+2L27NmYPHkyGhsbcdNNN+HEE09Ex44d8euvv+Kqq65CQ0MDvvvuO8NCyJ5yV7khSRIURQHLsi0+6d9J8DzvUt1LsyuIsePtH799K11t7VYs+fRrjBwzBqGQPZHUTmkroiCCYRlz5l4rwyi0/qINt8fWUllJDTf93w3h5YI23uLLXc2aNQvPPPNM/O+hQ4cCAD766COMGTMGALBmzRrU1dUB0EsFffvtt3jmmWewe/dudO7cGUcccQRuueWWoppQU5FoUt2zUdhbIgiCwfJQdsBsH8aOLzSx3Gq/RtCxY3scPmEMJNL7aUY0Q4PneISMpkRZnaaYxlUIbNIkuShn/HoNNWxfU/mgQQOhOU9iYAQlq0EWC05pkIoiQxQlsCy7x0eoFgpFkaEoqoU0GG9VKIlEogbZkdwft6IouO//nsZ+ow9Cn359ch9sZnhGjzV5yaIggg2YfB6K8TjYpKmpigpBFGzT7uMoVEs2251DVgWjGqRvv/MARFFs4gf10zd0FLZni200zMM7wlFRFASNFP8FUIxxkySJWdfNxsrlK/Mea6aahZm0EFMJ35SFxHqryfOFsOzYFEFqN8F5HHZoyaa6K+47WbIm1pYATdP9BYFAYA9N+s8G6y9FjETBGpxWGYy3Lwiip1mSCILA+o2rwVPlho51agxGQdO0JUYitwslx87XNK1g4UDRFFRVhSAI9rqR3JRZRd6z+hpkkSDLMqJRDuFw2CWtsViMwWZQ2PgURQZNUwXMp9NvowkGD9I72mw2hIKMrRU7APPC1JQWaYWezeJtKLTEVaHnx+AId2sK3PLSFVINxSp8AVkERJuYL9yrvhHTXLy+6BY2PuumVStw7kX1Kr1cKm679T7c/M+b7W/YxNSa0bIYlrEWFW7VWlpgJQm7ahu6ISTdQDxozcW9vi8gXYSqqmhsjCAcDrlUfSP2JHl/sS0UjY2NLkf+OjengiA49HzYu6pUV7c1zEZkarqcOhb65sO0oLDqi/QQGJYBRVL2+yRRpLzRQs3YBuH7IF1CNMqBpimUl5e52GvLF4yAnjfqPNNQoTC+USFJ0iGzu73zc8UV52PDLtHWNgE4uqcLBAIQRfNjtuwPLJQEIDFop8A5oRkaBEGA4zj7o1tjcHE/7kY6iK9BOg4NjY0RhEJ+IE5mFL4NlCS5BOphGn+LJclgsV8AxfQrS5KE2k2bjB1sod6iI8dCt+RIomTupCLvvTTYU2WDov+/vXOPjqq6/vj3zsy9M3mQxCCQ8CwBTBCoDzQ00CWJpgZq/YmitZa6UPFFYyuNP1jQ/hSl5QcKmt+qRbSKAdG21loftVaKAlqRh0KogpASRIRAgoIkYTKPO3PP748wYwYmYe6959y5k+zPWrMWGc45d98z5959zj5n7+3kHuC8I7zkTAQrsoOQghRIIBBAIBBAZmYGJIm6Oj7m3jwRk7V1iN0AYYxFA6snRvLe3C+++DouHT0hsZetHjOlkbgLOn4Sj8ejy/UkguFUUB3imhqlozIwi8PpgMfj4Rvg/BRROS2et4lyB6G3tgAYY/B6vXA6nXC7rdwXS4WTqvwIBAIWHnSKYOSwU+K/STAYTBlLQ1nZeLzw5xVwJqjQdQcA14PO8uFwWLfbhyklJdkrGHfH2K1iLgDTkwLd1xOA3e1SKYeqqtC09tyD1mOfB1A0mhaGpmlJeOkY2WRJvHwoFIbbnRq/44AB+Sj/Xg5CzgQVuoiIOgZJS0uLhiPUhcWRZEQiJMB5zAXaV3ZWn8rmmR2EVpCciDj9M8Ysju3as1aNEdra/OIOGnSJ2AddllNnzhoIBLDq2edRv7eef+PiFulRtJAGTdP0VTK7EuSwquLpDyh8JQnrV8483UFIQXJAVVUEg4EkRcRJBf/Gjph/sP1+v8Wnga0hFArpfPEld2LkcDjwq7kL8fH2jxOrIFLpGdj3SstIQ0jXgahvMB1KzgS8g9hLDgkej0fYwR0AyRmqHNxBUme6alMCgcCpnI09PftGoph7sEMhNYXMW/rshOFwWKf1Ibn9IMsyjhzdiUAC4eai6OkSwfuQABBSQ/qDmMPcqii6urHRMHY4HVCU9titQvyJk3ivkZO1Rn4zWkEaJBRS4ff74Tw1sKyl55lUgYiTd9CkCdto3xk9vqjjCkynuc8GeNwucQcxjMQJ1ylLemY6ggGDvpwm461yeYw5HoRxupxwOV1CggmcgYWvsI4rbr19RQrSIOFwe85Gl0tOwtVtNPW0kGAwgPR0s4cJzHpsi0PTUm/i8+ADS/Dwrx9OvILAKDntVfRX0u0T2ZFk/2Scs2u4ZBecDqc1YemS0Hd6+4oUpEGMZ4wgjBAMBuFwmEmAnOw3WdfoN6/qRcz99+3bG9nZ2ULaBqBbbCP+jemZ6cYUglm9xGsVydnv0JLYrck6OqHzmrQHSQjG/GZLxGfN3KlVe7uD+P2ifTrF3P/s2T/FweM6TJR6h4NOsY1MoCRJQigYMj5BscN+otmQdqchKzLUoMo/VdbpcEoQLQpaQdqeVHfjMD/yQ6GQxYHIeaDvvvVFz7EPqqqi6ciRhMvrXeEZTVisl7T0NKiqAVMrr1Ukh0fcyOq5K0QGOI9iYeBxI5CCtD2p5sbBl3bTqiNJJ1etzHOn94COPd4oNTUvYty3v5twVBq9v6Oh393AC9fhdBg/rGM22wenR5xXDsmOuGQXZJcMn0+gCwjAdaLAE1KQhG1RVRWMMchyMg5CAcbfWvqe8vbwcnrNWBZ40idARUUpVr/4jK4Xs+6XuPgDxAAAt8eNcEhf+LlvLmePSWx0QsHx544EOBcZTABA+0QD1idF7gragyQ4w29TQdM0i6MS8UL/KslQIl99VxHS6pAhA+HJ7o2wM/FXiW5lYpHucblc8J70IsNIEAqJQ6JrnmHsOPeZw+kQG5buFDERcGww56AVJMGRyKg2P7LbfUyTuS9n3Sw2aMbNIMm0tfmwasXzOLD/QOKVdA4PQ1k0DP58iqKAGXS3MW3itIFC6AorwtK1X0hs83ogBUlwhM/IVtX2fUfzOR7NenKLpz12b+q6DIXDYfxq7m/w6c5PhV3DUBYNgwc/ZEVGW5txBWB29RddQdmUnqYkycRKcICfPYQxdsq0yuPUqk2esi4wdozeJvYnAJmZGThydBeCLkHh5szUMdhFsmJ8z5tL5gqeLhsC3CgiStLX5kOaBblYGWPtZvkkDHlaQRIc4DdyfT4/ZDl1V1R6MfZCtYdyBNpXPG5FpyncyKlPC29ZURR4T3oN1RVxktQUkTM7nGWSHBLcbrf4060waEHgBClIwjYEg0HIssuCAyv2Ibn7rHz41bz/RfXD1brqGFplGXnHG9QLLhNpx7goSZ6+gZIY063D6YAiK9bEbgWSYnruOW8iwvYk16XDelQ1aNFqQ+w1+vTJRVZ2lr5Khvz/9Vcy6jyvKAraTprbi7TVSlIQkQDnlsRulfjmwkwE2oNMCvbZQzIHv/s4edLbLXM8dgVjsMiNRexY+5//mYVDJ4zlVRSN0f1ASZJMrSK50HEVyeMn5ByOLoJLdoEFmfiwdEBMVg4rgofQCtJySDmejt/vR1paqoWSM0/IkFO6/VYlqqqi8fBhfZUsfASMrjicLqepJMLc/Bl59pWgsG6WBDjvQGSFLno1SQrSclJdOfL14o0M8OTvxZl50IzVdTiM9KH9xs8TT6zCZZdeLjxCjpnVoJGfyOl0mh6XdjWzipAroiSt2pOUJEl4BCMysQqnu6wYI/C9F6+3zSamVWt/o1BIhWzIhGe/8fRf/3Ul+g4cYsm1DJvWDHaZw+mAz+cznEkmqpzN/mS8o+wIilYjKzIkVYLf77cmwYDgR4EUpHDs9TKzE21tPsEpnqxC/28cCKgG791+46mgYAjSz+kLTefLm4HpXgFYHbTe5XJBC+sNJB+Lkfs8AwmQGL97FxnSzXXqJLpVfpJRBNwLmViJpKBpYbhcZhIgpzbGVo/2pKWlFauefR4NBxt01TPq6mHEPGjGpChJkqm9NW4nWnnvHwpMFORwOuB2WxDgvAMiAp2TghSCPfcd7ERbmw+K0nMCAnRE07SE00OZR/xY9PsDuH/eQtTtrtNX0WCWDqNJkY12hZnIOtHrg5Mfoo1zJ55OxwDnViBJEnd/z+4zjSVShrY2HzIzdYQm62aoqmphlhLxK/Q+fXrj8NFdCDot2ks2akoz0RWSJCEYCEIxGjc3hRQbTzrGbhWZBST2ot9YDMxaqFJyBfn5559jxowZGDp0KNLS0jBs2DDMnz8fwWDXCU/9fj8qKyvRu3dvZGZmYurUqWhqahIgYc80GyZCu3LomSvHjhiLFmTPN6wkSVBkA/dj9DFJwuOlKArf2KhmEKFsBQ4tywKcd7wmp9VkSirIPXv2QNM0PPXUU9i1axeqq6vx5JNP4pe//GWX9X7xi1/gb3/7G1566SW8++67OHz4MK677jqLpCY0TUMwqNrApSO5GPN/BOw88frvqgfxxP89obue0T0jw3tNJl6YTGNQzaQms+/P941sghRlxwDnlmKyz1PSxDpp0iRMmjQp+ndBQQHq6uqwfPlyLF26NG6d5uZmrFixAn/4wx9w+eWXAwBqamowcuRIbN68Gd/5zndMSGS/o/d2JBAIdJNTq8ZhjEHhsKel44qwYmz27dMbvbJ66a5n9HRnMg53uT3us1qpzgovsXlH2enQrqgoNR0DnBt1mzGECReZlFSQ8WhubkZubm6n/79t2zaoqory8vLod0VFRRg8eDA2bdrUqYIMBAIxJ9haWlrilCLleDaCwWCPPZTTEZ/P6qhB1ozNBQv+G4dOGFgZGxUvCfuQQHv+y3A4bMoKwk0BCfppRTrfdwxwbomfJNB+sMvgPaWkifV06uvr8fjjj+Ouu+7qtExjYyMURUFOTk7M9/369UNjY2On9RYtWoTs7OzoZ9CgQbzE7jGEQiFomsbJtGrPfbhEcTikbunaEgwG0aQ33JwZTHShGVeAtLQ00yeQef/+3KPiCD5Q5HQ54XQ4LQtLdwY67s1WCnLu3LnRzdXOPnv27Imp09DQgEmTJuGGG27AHXfcwV2mefPmobm5Ofo5ePAg92t0d1RV5ThbtINySSUlbY2s1dVPo2LiVforWh/hz/ThjZDaPuEzA2OM208jQUDmECM5O3VgdezWM0jw1mxlYr3vvvtwyy23dFmmoKAg+u/Dhw+jrKwM48ePx+9///su6+Xl5SEYDOLEiRMxq8impibk5eV1Ws/tdlt4JL/7EQgEuqFp1ZiSVlU1CbkurZlQXH/9VRhyXpH+imYyTJhZRZqIbpOekW46cwXXVSTnKDsxCNzClhUZalC1JAtIDFLiadBspSD79OmDPn36JFS2oaEBZWVlGDt2LGpqas764hk7dixkWcY777yDqVOnAgDq6urwxRdfoKSkxLTsxJkEgwFIktTNTq0af2MwpkFRuudka8SIAmSem29sUWT1PiTMK6hQMARFUcy1Y/NUVlZsBciKjJAasnZPEonfm61MrInS0NCA0tJSDB48GEuXLsWXX36JxsbGmL3EhoYGFBUVYevWrQCA7OxszJgxA1VVVVi/fj22bduGW2+9FSUlJSZPsBLx0DQNjIFWjx1QVXvmTOTB8eNfY9Uzq9HUaMCv2KglL0n7kACQ0SvDnMsHkDKprETjkl2QXTJ8PotdQBLAVivIRFm7di3q6+tRX1+PgQMHxvxfZOCrqoq6ujq0tX3jnFpdXQ2Hw4GpU6ciEAigoqICTzyh33ereyHGhsL31Kpd3GjMyeFydaeVdCwtLSfxwK/+F8NHjUa/vH7WXdjgT8Ijy4YaVI1H1umIXYZ3V/DMJhIHp8sJt+S2PsD5WZCYXROW2ZSWlhZkZ2ejuXkPsgz4ffUEIr5i9ls9Ju9NFNl/7F7m5m9gjOGrE21QXXZIXWYNjDEuSpK336EoP0ZR7cZcQ2Pw+XzCw9K1trSiaGARmpubkZWV1Wm5lDSxEvYlcrrPfsoRSOY0XVVD3VY5AibCzcHkic4kTu8lSTJvZoX5U7VntCdonHPLStLVNZIQlq4rSEH2WMQMdL8/AFm2MlJMamDOvJoaRp6fVc7DiuUrdNczvSpJgqtIhLT0NIRCHPaWRexFChg2PU1JkoLskYgxNfr9fiiKzNEMkxqK4WxommYi/ipg7pindfTr2xuZWcaytCR67P4Mkrx353A6EPBx8uVLkVyPQvwuT7+GTZRkSh7SIcwgRjlqmgaHwwGXi+eQsvvJhcQIhUIWh5eLYG3/LV78SzS0GHOgNzWpMnObHLrIneZGOBSG0+QhLDO+mZ22KWLfUKTfZcfLOCR4PJ6kHtyhFWSPQ8zA9vu7Y0AAPoTD4W4ZXu50VFVF05HOwzZ2SRLNpGZxuVzw+/2m2+G9FwkIXO0Jzv4RweF0wO12c+lfQ9dPylWJJCFmNHu9Xng8vB3gu4d5tSexcOFvMeXKa62/sA3yNCqKYjr8HAD+81cTgboTwbBpXAcOpwMuJ59JiF7IxNqjEGFaDUNRFAEh1Oyy4jJnkmaMmTQ7p4KTXDvTpl2H0WMvMVbZ7C2a7Caz5k1ZkeE96UVGJh83F66mUQFRdqJNW2QZcckuMMYsD0tHCpIwhc/HO8cjzyc5+cqlrc2HdFP7J6mhHAGgqGg4svoOMFzflFIw2U08XvQyxzyfIvYNbfA4mCIZsVvJxNqtEWv+OHnSKyABst2Uo7k2ZNnVI/YfAeDLL49h5TPP4dhXxwzVN2UKNDnUeezTKYoC70mv6XYAsZk0hCDIreR0rM4CQgqSMISqqgJOZvI+524W8/KYzR1oHOtfsF9+eQwP3b8YB/YfMFTf1H6WyfRMvA7I8FpFCplUiUxhdUpcKxS7rMhwOpyW7EmSibVbI27lEgyqNl498sKcPKqqcnZ70YP1fTly5AgcbNyJkMFwc2aVgtnDKDzcLGRZRpu3jV+oNN4ZOk6dahWlgCVmPsZtIrhOWWZ8Ph/S0sS5gNAKktCN1yvCtGpHzM2GGWM9KqqQmXBzAMybSU02wENpSJJk2h8ytkF+TUXak8DfnaRj+1bhdDnhVtoDnIuCFGS3RJyZIxAIID29JyhHwOzTHuQQpzPVuHNGFVY/u9pYZZPpmrisiniYWWUZPi/Hlzbvx1lglJ1o+xZZ+B1OBzwej7CIO6QguyViRr+madA0rcccOjGLYno/KsUOagDI69cHmb2MhZsDYHro2uFwi8Ph4LuKBIQMBaF9ZaGSFBmWjvYgiYTx+fw9xLRqnkAgwGH/MfUmIo8++gAaveb8RpM6AePleuiQ4Pf54eFxkE2QshG6H2kxHZUkz1RZtIIkEiIQ8Jv057OC5K8eIjDGunV6q85Q1SCONhoMNwfzB21ERo3RgyzL/INnCDC1Cu0vi8LRRS93Skny3JMkBUmcFVUNQpIcAmaaIjZX7EF3mJUb4f77l+KGH9xovAEbeOeYyk/ZAUmS+PnriRpOVplCLVSSbrcbPh8fJUkmVqJLNE2DqoYFrR5FKNwkxyzDN3u1PZHbbrsR3ymdaLg+Y6dcLYz+BBxe+Dx9IoOBoPmGIohWkiLbtxCH0wFFVuD3++HxmDNxk4IkukRMQABAzBOZ/Mg5QCS9ldkJRWrGBRs1qhA5+YMN1+einOwxDKLtBANBKG5OmW5Sc1hYjtPl5BK7lUysKYt4m0UwGIQkSYJMq933KTeXHDmCmf5J3l7skSNNWPn0czjx9QnDbZjOEMHh9nmd8FQUhW/GC4GrPDucAOaJS3aZDktHCpKISzgchqZpgnI82lU58nlBOBw8zLypyeHDTVjwwGIcbjhsuA3TEzIOw4tnbkamMQSD/EytvPZIT0dY7sgOWK2EzcZuJRNryiJWyYRCqsCI+XZdQZqXSdM0OJ1m551m5Uhe31588Rh8cWQnwrKJtE/22ErmEnoOADxpHq4KUtgBMAtCxUVkt9K9JJIFxMieJK0giTMIBPxwOJyCBrBdlSPAY1ru8/nhcvWc8HKnYzrcHDdBODTBcfyHw2G+getFhoqz4PGUJPGr1Y7Iimwo6bINRjJhJ0KhECTJISiGKG/laD83kZ6U3qozpv+kEi++8KLxBmzg6hFthtNLPC0tja+CFDzErFBeVvusumQXFFnR5SdJJladRAZOS8tJq68MK6Z2fn8AHo8bfj/vfGsi5LdfcmWvt63HRxvq3fscOJ1OtLa0JlsU83AcYm1tbfB4PHwDCIh6LVhl6EmCQUkLa9GcpWebCEisux1dEsyhQ4cwaNCgZItBEARBmOTgwYMYOHBgp/9PClInmqbh8OHD6NWrV1JMaS0tLRg0aBAOHjyIrKwsy69vFJLbWlJVbiB1ZSe5rcWM3IwxtLa2on///l2u6MnEqhOHw9HljMMqsrKyUmowRyC5rSVV5QZSV3aS21qMyp2dnX3WMnRIhyAIgiDiQAqSIAiCIOJACjLFcLvdmD9/vkAnfjGQ3NaSqnIDqSs7yW0tVshNh3QIgiAIIg60giQIgiCIOJCCJAiCIIg4kIIkCIIgiDiQgiQIgiCIOJCCtDkLFy7E+PHjkZ6ejpycnITqMMbwwAMPID8/H2lpaSgvL8fevXvFChqH48ePY9q0acjKykJOTg5mzJiBkye7jmFbWloaTdIc+dx9991C5Vy2bBm+9a1vwePxYNy4cdi6dWuX5V966SUUFRXB4/FgzJgxePPNN4XK1xl65F65cuUZ/ao39Q8P3nvvPVx99dXo378/JEnCq6++etY6GzZswMUXXwy3243hw4dj5cqVwuU8Hb1yb9iw4Yz+liQJjY2N1gh8ikWLFuHSSy9Fr1690LdvX0yZMgV1dXVnrZfsMW5EbhFjnBSkzQkGg7jhhhswc+bMhOs88sgj+O1vf4snn3wSW7ZsQUZGBioqKnSnejHLtGnTsGvXLqxduxZvvPEG3nvvPdx5551nrXfHHXfgyJEj0c8jjzwiTMYXX3wRVVVVmD9/PrZv344LLrgAFRUVOHr0aNzyH3zwAW666SbMmDEDtbW1mDJlCqZMmYKdO3cKk5GH3EB7xJGO/XrgwAELJW7H6/XiggsuwLJlyxIqv3//flx11VUoKyvDjh07MGvWLNx+++1Ys2aNYElj0St3hLq6upg+79u3ryAJ4/Puu++isrISmzdvxtq1a6GqKq688kp4vd5O69hhjBuRGxAwxhmREtTU1LDs7OyzltM0jeXl5bElS5ZEvztx4gRzu93sj3/8o0AJY/n0008ZAPbhhx9Gv/vHP/7BJEliDQ0NndabOHEiu/feey2QsJ3i4mJWWVkZ/TscDrP+/fuzRYsWxS3/wx/+kF111VUx340bN47dddddQuU8Hb1yJzp+rAQAe+WVV7osM2fOHDZq1KiY72688UZWUVEhULKuSUTu9evXMwDs66+/tkSmRDl69CgDwN59991Oy9hljHckEblFjHFaQXYz9u/fj8bGRpSXl0e/y87Oxrhx47Bp0ybL5Ni0aRNycnJwySWXRL8rLy+Hw+HAli1buqz7wgsv4Nxzz8Xo0aMxb948tLW1CZExGAxi27ZtMX3lcDhQXl7eaV9t2rQppjwAVFRUWNq3RuQGgJMnT2LIkCEYNGgQrrnmGuzatcsKcU1hh/42w4UXXoj8/Hx873vfw8aNG5MtDpqbmwEAubm5nZaxY58nIjfAf4yTguxmRPY4+vXrF/N9v379LN3/aGxsPMOc5HK5kJub26UcP/7xj/H8889j/fr1mDdvHlavXo2f/OQnQmT86quvEA6HdfVVY2Nj0vvWiNyFhYV49tln8dprr+H555+HpmkYP348Dh06ZIXIhumsv1taWuDzJZ741mry8/Px5JNP4uWXX8bLL7+MQYMGobS0FNu3b0+aTJqmYdasWZgwYQJGjx7daTk7jPGOJCq3iDFO2TySwNy5c/Hwww93WWb37t0oKiqySKLESVR2o3TcoxwzZgzy8/NxxRVXYN++fRg2bJjhdns6JSUlKCkpif49fvx4jBw5Ek899RR+/etfJ1Gy7klhYSEKCwujf48fPx779u1DdXU1Vq9enRSZKisrsXPnTrz//vtJub5REpVbxBgnBZkE7rvvPtxyyy1dlikoKDDUdl5eHgCgqakJ+fn50e+bmppw4YUXGmqzI4nKnpeXd8aBkVAohOPHj0dlTIRx48YBAOrr67kryHPPPRdOpxNNTU0x3zc1NXUqY15enq7yIjAi9+nIsoyLLroI9fX1IkTkRmf9nZWVhbS0tCRJZYzi4uKkKad77rknelDubOn67DDGI+iR+3R4jHEysSaBPn36oKioqMuPoiiG2h46dCjy8vLwzjvvRL9raWnBli1bYmZXomUvKSnBiRMnsG3btmjddevWQdO0qNJLhB07dgBAjLLnhaIoGDt2bExfaZqGd955p9O+KikpiSkPAGvXruXSt4liRO7TCYfD+OSTT4T0K0/s0N+82LFjh+X9zRjDPffcg1deeQXr1q3D0KFDz1rHDn1uRO7T4TLGuR75Ibhz4MABVltbyx566CGWmZnJamtrWW1tLWttbY2WKSwsZH/961+jfy9evJjl5OSw1157jX388cfsmmuuYUOHDmU+n89S2SdNmsQuuugitmXLFvb++++zESNGsJtuuin6/4cOHWKFhYVsy5YtjDHG6uvr2YIFC9hHH33E9u/fz1577TVWUFDALrvsMmEy/ulPf2Jut5utXLmSffrpp+zOO+9kOTk5rLGxkTHG2M0338zmzp0bLb9x40bmcrnY0qVL2e7du9n8+fOZLMvsk08+ESYjD7kfeughtmbNGrZv3z62bds29qMf/Yh5PB62a9cuS+VubW2NjmEA7LHHHmO1tbXswIEDjDHG5s6dy26++eZo+c8++4ylp6ez2bNns927d7Nly5Yxp9PJ3nrrLVvLXV1dzV599VW2d+9e9sknn7B7772XORwO9vbbb1sq98yZM1l2djbbsGEDO3LkSPTT1tYWLWPHMW5EbhFjnBSkzZk+fToDcMZn/fr10TIAWE1NTfRvTdPY/fffz/r168fcbje74oorWF1dneWyHzt2jN10000sMzOTZWVlsVtvvTVGse/fvz/mXr744gt22WWXsdzcXOZ2u9nw4cPZ7NmzWXNzs1A5H3/8cTZ48GCmKAorLi5mmzdvjv7fxIkT2fTp02PK//nPf2bnnXceUxSFjRo1iv39738XKl9n6JF71qxZ0bL9+vVj3//+99n27dstlzni/nD6JyLr9OnT2cSJE8+oc+GFFzJFUVhBQUHMWLer3A8//DAbNmwY83g8LDc3l5WWlrJ169ZZLnc8mU9/X9hxjBuRW8QYp3RXBEEQBBEH2oMkCIIgiDiQgiQIgiCIOJCCJAiCIIg4kIIkCIIgiDiQgiQIgiCIOJCCJAiCIIg4kIIkCIIgiDiQgiQIgiCIOJCCJAiCIIg4kIIkCIIgiDiQgiQIm1NaWopZs2YlWwyC6HGQgiQIIiFuueUWSJIESZKgKAqGDx+OBQsWIBQKRcs0NjbiZz/7GQoKCuB2uzFo0CBcffXVMemT3nvvPVx99dXo378/JEnCq6++moS7IYizQwmTCYJImEmTJqGmpgaBQABvvvkmKisrIcsy5s2bh88//xwTJkxATk4OlixZgjFjxkBVVaxZswaVlZXYs2cPAMDr9eKCCy7Abbfdhuuuuy7Jd0QQnUMrSIJIIQKBAH7+85+jb9++8Hg8+O53v4sPP/wwpkxrayumTZuGjIwM5Ofno7q6mpuZ1u12Iy8vD0OGDMHMmTNRXl6O119/HQDw05/+FJIkYevWrZg6dSrOO+88jBo1ClVVVdi8eXO0jcmTJ+M3v/kNrr32WtPyEIRISEESRAoxZ84cvPzyy1i1ahW2b9+O4cOHo6KiAsePH4+WqaqqwsaNG/H6669j7dq1+Ne//oXt27cLkSctLQ3BYBDHjx/HW2+9hcrKSmRkZJxRLicnR8j1CUIkpCAJIkXwer1Yvnw5lixZgsmTJ+P888/H008/jbS0NKxYsQJA++px1apVWLp0Ka644gqMHj0aNTU1CIfDMW1de+21OOecc3D99dfHfP/GG2+gsLAQI0aMwDPPPNOpLIwxvP3221izZg0uv/xy1NfXgzGGoqIi/jdOEEmCFCRBpAj79u2DqqqYMGFC9DtZllFcXIzdu3cDAD777DOoqori4uJomezsbBQWFsa0de+99+K5556L+S4UCqGqqgrr1q1DbW0tlixZgmPHjsWUeeONN5CZmQmPx4PJkyfjxhtvxIMPPgjKu050R0hBEkQPpLS0FL169Yr5buvWrRg1ahQGDBiAzMxMTJ48Gf/85z9jypSVlWHHjh3Yu3cvfD4fVq1ahYyMDIwYMQKSJEUP4hBEd4AUJEGkCMOGDYOiKNi4cWP0O1VV8eGHH+L8888HABQUFECW5ZiDO83NzfjPf/5z1vYPHz6MAQMGRP8eMGAAGhoaYspkZGRg+PDhGDx4MFyubw7B5+bmoqKiAsuWLYPX6z2j7RMnTiR8nwRhF8jNgyBShIyMDMycOROzZ89Gbm4uBg8ejEceeQRtbW2YMWMGAKBXr16YPn16tEzfvn0xf/58OBwOSJIkVL5ly5ZhwoQJKC4uxoIFC/Dtb38boVAIa9euxfLly6Nm4JMnT6K+vj5ab//+/dixY0f0ngjCLpCCJIgUYvHixdA0DTfffDNaW1txySWXYM2aNTjnnHOiZR577DHcfffd+MEPfoCsrCzMmTMHBw8ehMfj6bLt/v37x6wYGxoaYvYyz0ZBQQG2b9+OhQsX4r777sORI0fQp08fjB07FsuXL4+W++ijj1BWVhb9u6qqCgAwffp0rFy5MuHrEYRoJEa76wTRrfF6vRgwYAAeffTR6EoTADZs2IDf/e53+Mtf/gKg/ZDOyJEjsWHDBmRnZ2Ps2LH44IMP0Lt372SJThBJhVaQBNHNqK2txZ49e1BcXIzm5mYsWLAAAHDNNddEy5SXl+Pf//43vF4vBg4ciJdeegklJSV49NFHUVZWBk3TMGfOHFKORI+GVpAE0c2ora3F7bffjrq6OiiKgrFjx+Kxxx7DmDFjki0aQaQUpCAJgiAIIg7k5kEQBEEQcSAFSRAEQRBxIAVJEARBEHEgBUkQBEEQcSAFSRAEQRBxIAVJEARBEHEgBUkQBEEQcSAFSRAEQRBxIAVJEARBEHEgBUkQBEEQcfh/L5i40xqjZ9UAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_power_colors(p1, p1e, p2, p2e, plot_spans=True, configuration=configuration)" ] }, { "cell_type": "markdown", "id": "848abff8", "metadata": {}, "source": [ "Here, acronyms indicate the spectral state (Low Hard State, Hard InterMediate State, Soft InterMediate State, High Soft State).\n", "\n", "Comparing with the results from [Heil et al. 2015](https://ui.adsabs.harvard.edu/abs/2015MNRAS.448.3339H/abstract), the source is right in the region of overlap between the soft state and the hard state. However, what distinguishes the states is the amount of fractional rms. We can plot the rms versus the hue, and it is immediately clear that the rms is far too high for a soft state. We overplot the approximate of rms in the various states from [Heil et al. 2015](https://ui.adsabs.harvard.edu/abs/2015MNRAS.448.3339H/abstract)" ] }, { "cell_type": "code", "execution_count": 28, "id": "8c229dd5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_hues(rms, rmse, p1, p2, plot_spans=True, configuration=configuration)" ] }, { "cell_type": "markdown", "id": "5ccf464a", "metadata": {}, "source": [ "Another way to visualize the spectral state from the rms and hue together is by using a polar plot (here, intuitively, the radius is the rms and the hue is the angle):" ] }, { "cell_type": "code", "execution_count": 30, "id": "de4215f4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hOzubabMIhKBmzJgx2LNnD+655x4sWbIETz31FBwOB9NmEUYJEcUh2LNnD6655hokJSWBxWJh48aN/bY/9dRTGDduHCQSCaKiorBo0SIcOnSo3z4ZGRlgsVj9Hi+88EK/fVxLLRUUFFz0+tHS2tqKBQsW4N///jd27NiBRx99lHiHBIKXYLPZeOyxx/Djjz9i/fr1uOyyy9DW1ua387/wwgtgsVh44IEH3M/Nnz//omvOH/7wh36v27x5M3JycpCbm4vvvvvOb/YGA+TqOAQGgwGTJ0/G2rVrB9yek5ODNWvW4NSpU9i3bx8yMjJw+eWXo6urq99+Tz/9NNrb292P++67z72tqakJL730Er744gv89a9/xR133OE1+7ds2YJJkyYhJiYGx48fx6xZs7x2bAKBcJ45c+agrKwMUqkUkyZNwg8//ODzcx4+fBjvvfceJk2adNG23/3ud/2uOS+99JJ7m8ViwT333IO3334ba9aswcqVK8nknj5wmTYgkLnyyitx5ZVXDrr9lltu6ff/1157DevWrcPJkydx2WWXuZ+XSqVQKBQDHkOr1SIyMhKTJk2CQqGAyWQatd02mw2PPvoo3n77bTz33HP97iIJBIJviIyMxLfffovXXnsN119/Pe677z4888wz4PF4Xj+XXq/Hrbfeivfffx/PPvvsRdvFYvGg1xyLxQIOh4MpU6YAALhcLiwWC+lNPgfxFL2E1WrFP//5T8jl8ouWU3rhhRcQExODgoICvPzyy7Db7e5tEyZMwKRJkyCXyzF+/PgBv+Ce0NzcjDlz5mDjxo3Yu3cvEUQCwc+sWrUKu3fvxtdff42SkhKfDBe/5557cNVVV2HRokUDbv/3v/+N2NhYTJgwAY888giMRqN7m0wmwx133IHExEQkJSVh5cqVkEqlXrcxaKEIwwIA9c0331z0/LfffktJJBKKxWJRSUlJVGlpab/tr776KrVz507qxIkT1DvvvENFRkZSDz744EXH6e7upoxG46hs3L9/PxUbG0tdf/31lF6vH9WxCMxitVqpjRs3UlarlWlTCCNEp9NRy5Yto+Lj46mDBw967biff/45NWHCBMpkMlEURVHz5s2j7r//fvf29957j9q6dSt18uRJ6tNPP6WSk5Op66677qLjqNVqSqvVes2uUIGI4jAZTBT1ej1VXV1NHTx4kLrzzjupjIwMqqOjY9DjrFu3juJyuZTZbPaqfevWraNEIhH1t7/9jXI4HF49NsH/EFEMDRwOB/XEE09QIpGIWr9+/aiP19TURMXHx1MnTpxwP3ehKF7Ijh07KABUTU3NqM8fDhBRHCaDieKFjBkzhnr++ecH3X769GkKAFVRUeEVu2w2G3X//fdTcrmc+s9//uOVYxKYh4hiaPHll19SMpmMWrVqFWW320d8nG+++YYCQHE4HPcDAMVisSgOhzPgsfV6PQWA2rp162jeQthACm28jNPphMViGXR7WVkZ2Gw24uPjR32u3t5e3Hjjjaivr8e+ffswYcKEUR+TQCB4nxtvvBFjx47F9ddfj9OnT2PDhg2IjIz0+DiXXXYZTp061e+5O+64A+PGjcOf//xncDici15TVlYGAEhMTByJ6WEHEcUh0Ov1qKmpcf+/vr4eZWVliI6ORkxMDJ577jlce+21SExMRHd3N9auXYvW1lbceOONAICDBw/i0KFDWLBgAaRSKQ4ePIgHH3wQt912G6KiokZlW3l5Oa6++mokJyejtLQUMTExozoegUDwLVOmTEFpaSmWLVuG6dOn47vvvkNubq5Hx5BKpRfd/EokEsTExGDChAmora3FZ599hiVLliAmJgYnT57Egw8+iJKSkgFbNwgDwLSrGsjs3LmTAnDR4/bbb6dMJhN13XXXUUlJSRSfz6cSExOpa6+9tl+hzdGjR6mioiJKLpdTQqGQysvLo55//vlR5xO3bdtGyWQy6u677x5VKIYQuJDwaehis9moO++8k5LL5dRPP/006uP1zSk2NTVRJSUlVHR0NCUQCKgxY8ZQq1evpjQazajPEy6wKIqiGFVlgkd88cUXuPPOO/Hcc8/hwQcfZNocgo+w2WzYsmULlixZ4pM+NwLzvPrqq3j88cfx0UcfuaNLBOYh4dMg4s0338Sjjz6KdevW4eabb2baHAKBMAoeeughJCQk4De/+Q06Oztxzz33MG0SAUQUgwKKovDoo4/i3XffxTfffIPLL7+caZMIBIIXuO222xAXF4fly5dDqVTi6aefBovFYtqssIaIYoBjt9tx99134/vvv8eOHTtQWFjItEkEAsGLLF68GD/++COuueYaKJVKvPPOO+ByyaWZKciYtwDGaDRi2bJl2LNnD/bu3UsEkUAIUWbMmIF9+/Zhx44duOGGG7wyA5kwMogoBigajQaLFi1CW1sb9u/fjzFjxjBtEoFA8CFjx47FgQMH0NDQgF/84hfQarVMmxSWEFEMQNRqNS677DKwWCzs2bMHCQkJTJtEIBD8gEKhwN69e+FwOLBo0SJoNBqmTQo7iCgGGD09PVi4cCHEYjG2bduGiIgIpk0iEAh+RCaTYfv27eDxeLjsssvQ29vLtElhBRHFAEKlUmH+/PmQy+X48ccfIRaLmTaJQCAwgEQiwbZt2yAWi7FgwQL09PQwbVLYQEQxQOjp6XGPg3v99dchEAiYNolAIDCISCTCm2++CZFIRDxGP0JEMQBQq9VYtGgRoqOjsXHjRiiVSpSXl4MMGyIQwhOKonD27Fl0dnbi22+/hVQqxS9+8QuSY/QDRBQZRqPR4Be/+AUiIiKwdetWxMXFobi4GE1NTUQYCYQwxCWILS0tKC4uRmxsLLZu3QqBQIDLL7+cVKX6GCKKDGI2m3H11VeDz+dj69atEAqFAOhJ+EQYCYTw40JBdBXaicVi/Pjjj2CxWLj22muHXJ6OMDqIKDKEw+HATTfdBLVajS1btlxUVEOEkUAILwYTRBcSiQRbt25FV1cXbrnlFjgcDoYsDW2IKDIARVFYuXIlTpw4gR9//BFyuXzA/YgwEgjhwaUE0UVkZCR++OEHHDlyBH/84x/JNcEHEFFkgKeeegqbNm3C1q1bL7kaNhFGAiG0Ga4gukhJScHWrVvx5Zdf4tlnn/WTleEDWU/Rz7zzzjv4y1/+gh9//BFFRUXDfp1Op8P+/fuRlpaGvLw8Mkk/CKAoCjabDWazud/DYrH0+7/D4YDT6QRFUaAoyv0zALBYLLDZbLBYLPfPHA4HQqHQ/RAIBP3+LxQKwePxyHckCPBUEPuyf/9+XHnllXj11Vfxu9/9zodWhhdEFP3If/7zH/z617/Gf//7X1xxxRUev54IY2Bis9mg0WigVquh0WhgMBjc4ud0OsHlcgcULtdzLgHrK4AOhwM7d+7E/PnzweFw+ommS2gvFFfXc3a7HWw22318iUQCuVyOyMhIyOVysmhxgDAaQXTx3Xff4Ve/+hU+//xzLF261AdWhh9kfRI/sWfPHqxYsQLvvvvuiAQROB9K3b9/PwAQYWQAm80GtVrtFkC1Wg2DwQCRSOQWHoVC0U8ER7IMkM1mA0BXHXoqYna7vZ9I6vV6qFQq1NbWwmw2QyKRIDIy0i2SkZGRRCj9jDcEEQCuvvpqrFmzBrfccgt++OEHzJkzx8uWhh9EFP1AXV0dli1bhsceewwrVqwY1bGIMPoPiqLQ29sLlUrVzwsUiURuQUlNTUVkZGRATSDicrmIiIgY8EJrsVjcoq5SqVBXVweTyeQWSrlcjpiYGERFRZHvlY/wliC6uPPOO9HW1oalS5fi2LFjSE9P95Kl4QkJn/oYnU6HmTNnorCwEJ988olXj0tCqd7Hbrejq6sLSqUSHR0dcDqdiI2N7edZ+UMAbTYbtmzZgiVLlvjci+srlC6xZLPZSEhIgEKhQFxcHFn01kt4WxD7cvPNN+P06dM4ePAgWUhgFBBR9CFOpxPLli1DR0cH9u7dCz6f79XjE2H0DiaTCR0dHVAqlejq6oJIJIJCoYBCoUB0dDTYbP8XaftTFC/E6XRCpVJBqVRCqVTCbDYjLi7O/Zm4hkwQPMOXggjQNzdz5sxBSkoK/vOf/zDyvQ0FiCj6kL/+9a/45JNPUFpaCoVC4ZNzEGH0HIqioNVq3Rd9jUaDqKgo90U/IiKC8c+RSVHsC0VR0Ol07puG3t5eyOVy92clk8kY/6yCAV8Loov29nZMmzYNd911F/72t7/55ByhDomJ+IgNGzbgrbfews6dO30miADJMXqC0WhEU1MTmpqaYLVaER8fj8zMTCQkJARUTjCQYLFYkMlkkMlkGDt2LCwWi1sgq6urIRAIkJqairS0NLLU2SD4SxABIDExEf/5z3+waNEiTJw4Eb/85S99dq5QhXiKPuDo0aMoKSnBe++9h9tuu80v5yQe48A4nU4olUo0Njaiq6sLCQkJSEtLQ3x8PDgcDtPmDUqgeIpD4XA40NnZiaamJnR0dCAuLg4ZGRlISEggobtz+FMQ+7J+/Xrce++92LdvH6ZMmeKXc4YKRBS9TEdHBwoLC3HrrbfipZde8uu5iTCex2Qyob6+Hk1NTeBwOEhLS0NaWhpEIhHTpg2LYBDFvphMJjQ1NaGxsRFOpxPp6enIyMgIms/bFzAliC5WrVqFr776CseOHUNcXJxfzx3MEFH0Ik6nE7/4xS/A5XLx/fffM3K3HM7C6GqhqKurQ3t7uzs8GhcXF3SfQ7CJoguKotDV1YX6+np0dnYiMTERWVlZiI6OZto0v8K0IAL09Wjx4sVgs9mMXY+CEZJT9CJ///vfUV1djePHjzP2BQzHHKPT6URrayvq6uqg1+uRnp6OhQsXQiKRMG1a2MFisRAfH4/4+Hjo9XrU19e7WwSys7ORlJQU8hfnQBBEAGCz2fj8888xefJkvPzyy/jzn//MiB3BBvEUvcTevXuxePFifP/995g3bx7T5oSFx0hRFNra2lBeXg4AyMrKQmpqalB5VoMRrJ7iQNhsNjQ1NaGurg4sFgv5+flITEwM2e9kIAhiX3bs2IFrrrkG27dvx+zZs5k2J+AhougFuru7MWnSJNx999146qmnmDbHTSgLY2dnJ86ePQuLxYLc3FykpaWFlAcSSqLowul0orGxEZWVlRCJRMjPzw+pXFcgCqKLxx57DB999BFOnDgRdqFsTyGiOEooisLVV18Nk8mE7du3B9yFOdSEUa1W4+zZs1Cr1Rg7diwyMzNDctpKKIqiC7vdjrq6OlRXVyMqKgr5+fmIjIxk2qxREciCCNA3JAsXLoRcLsfGjRuD/jrgSwLrCh6EvP766zh+/Dg+//zzgBNEIHTWY9Tr9Th8+DD27dsHuVyORYsWYezYsSEpiKEOl8tFTk4OfvGLX0Aul2Pfvn04cuQI9Ho906aNiEAXROB8fvHQoUP4xz/+wbQ5AQ3xFEdBaWkp5s+fj2+++QaLFy9m2pwhCVaP0Ww2o7KyEk1NTUhNTUVubm5YlPmHsqd4ISaTCRUVFWhpaUFaWhpyc3ODZpRcMAhiX/73v//hxhtvxN69ezF16lSmzQlIiCiOEKPRiIkTJ+L666/Hyy+/zLQ5wyKYhNHhcKCqqgq1tbWIj49HXl4epFIp02b5jXASRRc6nQ7l5eXo7OxEdnY2cnJyAnrAQrAJootVq1bhu+++w4kTJ8LiBtNTiCiOkPvvvx+7d+/GkSNHgiqEFwzC2NPTg+PHj4PL5WLSpEmIiopi2iS/E46i6KKnpwenTp2C3W5HYWFhQP7+g1UQATqnW1BQgMsvvxyvvvoq0+YEHEQUR4Cr/WL//v0oKChg2hyPCVRhdDgcqKioQH19PXJzc5GdnR2QeVp/EM6iCNCFITU1NaiqqkJWVhZyc3MDxmsMZkF0cfToUcydO5e0aQxAeF5xRoHBYMDtt9+OBx98MCgFEQjM4puenh7s2rUL3d3dKCkpwdixY8NWEAl0YUhOTg5KSkrQ2dmJ3bt3o7e3l2mzQkIQAWDq1Km47777cPvtt8NkMjFtTkBBPEUP+eMf/4g9e/YEXdh0IALBY+zrHebk5GDMmDFEDEE8xb44nU5UV1ejurqaUa8xVATRhSs8vWjRIrz22mtMmxMwEFH0gD179uCKK67AgQMHQmbyPJPC2Nvbi2PHjoHL5aKgoAAymcxv5w50iChejFarxbFjx+B0OlFQUODXXGOoCaILVxh127ZtKC4uZtqcgIDckg8TV9h01apVISOIADOhVIfDgTNnzmD//v1ITU3F3LlziSASLolMJkNJSQmSk5Oxf/9+nD17Fg6Hw+fnDVVBBOgw6h//+EfcfvvtMBqNTJsTEBBPcZjcf//97rBpoCT8vYm/PEa9Xo/S0lKw2WwUFhYSMRwE4ikOjUajwfHjx0FRFKZPn+4zoQplQXRBwqj9IZ7iMCgrK8N7772HdevWhaQgAv7xGDs7O7Fnzx4kJCSgpKSECCJhxMjlcpSUlCAuLg579uxBZ2en188RDoII0BOG/vWvf+Htt9/GqVOnmDaHcYgoXgKn04mVK1dixYoVKCwsZNocn+IrYaQoCrW1tSgtLcXEiRMxfvx4UkxDGDVsNhsTJkzA+PHjUVpaitraWq9+Z8NBEF3MmDEDt9xyC1auXBkQ1ehMQq5Ml+Djjz9GfX190EytGS3eFkaHw4GysjJUV1dj9uzZSE1N9ZKlBAJNeno6Zs+ejerqapSVlY06zxhugujilVdeQVVVFf79738zbQqjEFEcArVajYcffhhPP/005HI50+b4DW8Jo9lsxv79+6HVajFv3jyyZA3BZ0RHR2PevHnQaDQ4cOAALBbLiI4TroII0J/hk08+iYceeggajYZpcxiDiOIQPPbYYxgzZgzuuusupk3xO6MVRrVajd27d0MikWDOnDlkxiLB54hEIvd3bffu3R5f2MNZEF2sXLkSaWlpePLJJ5k2hTGIKA5CWVmZO/kcrvmvkQpja2sr9u3bh6ysLBQWFoZscRIh8OByuZg6dSoyMjKwd+9etLa2Dut1RBBp2Gw21q5di3fffTdsi27C82p/CVzFNb/+9a9DvrjmUngijBRFoby8HGVlZZg2bRrGjh0bMHNVCeEDi8VCTk4Opk6dirKyMlRUVFzye0sE8TzhXnRDRHEAPvvsM9TX1+OVV15h2pSAYDjC6HQ6cezYMbS0tGDu3LlQKBQMWEognCcxMRFz585Fc3Ozu6fxQoggDoyr6GbDhg1Mm+J3iChegMViwaOPPoo///nPYVVccymGEkan04mjR49Co9GQ6TSEgEImk2HOnDno7e3F0aNH4XQ63duIIA5OdHQ0Vq9ejUceeQRWq5Vpc/wKEcULeOedd8Dn83HfffcxbUrAMZAwOhwOHD58GAaDAcXFxUGzYnqwQlGA0wnY7YDNBlitgMUCmEyA0QgYDIBeT/9ssdD79dGBsMRVgKPT6XDkyBE4nU4iiMPg/vvvB4vFwvvvv8+0KX6FjHnrg1arRWZmJl5//XWsWLGCaXMCFtdIuJSUFOh0OlitVsyaNQt8Pp9p04Iep5MWOpPJhj17tqCwcAlYLJ5b3Fx/ra6fXY++21xwOPSDzab/5fHOP1zP9d3O4QChnAK2Wq04cOAAhEIhJBIJ2traiCBegg8++AB//vOfUV9fHzafExHFPjz55JPYtGkTjh07FrYVp8NFrVZjz549EAgEWLBgARHEEeASQJfHZzLR3p3NRs8+ravbgjFj6NmnLBYtXgAtXK7/u37uux04L5QOB/3vhT9TVP/XuUQzIgIQCgE+n36EGlarFTt37oTVakVJSQlJkVwCp9OJKVOm4MYbb8Tjjz/OtDl+gYjiOTo7O5GVlYUvv/wSS5YsYdqcgMYVMjWZTDCbzUhPT2dsPcZggaJo4XOJoCu8abPRYgUAXC79oMXIhmPHaE+Rw/HdQHCKOi+WtBjTP/P5gEBAi6RAQD+CfS65K2Ta3NwMgUAAsViM6dOnkxvgS7B582bcdtttqKurQ2xsLNPm+Bwiiue47777cPLkSezevZtpUwIap9OJw4cPw2w2Y/bs2e6pNUwuVBzI2O20AGo09L92O/18XwEcqI3T4fCPKA4ERZ0XSFeNxUAiGUxrbF+YQxQIBNi/fz/EYjGmTZtGhPESzJkzB9OnT8frr7/OtCk+h4gigLq6OuTn52PXrl2YOXMm0+YELK4qU71ej+LiYnfIlMmFigMRiqJDoXo9oNUCZjMtICLR8L0tJkXxQlwi6fJ02Wz6fQiFgFQKiMWBHWodrKjGarVi3759kMvlKCwsDPvv7VDs378fl112GSorK5Gens60OT6FiCKAX//611Cr1fj222+ZNiVgoSgKx48fh1qtdt9p94UIIy0YRiOgVtP/UhQtHEKh5wUsgSSKF3JhKFggAGQyWiBFosAq1rlUlakr0hEdHY0pU6aE5fd2uFx99dWIi4vDhx9+yLQpPiXsYwYNDQ3YsGEDnn32WaZNCWiqq6vR3d2N2bNnXySIgH/WYwxEnE7aI2xvBxoagJYWWiykUiAqKvBEwhuwWLQQSqVAdDQd/u3uBhob6fev1Z7PkzLJcNouhEIhZs+ejc7OTtTU1DBgZfDw9NNP47PPPkNzc/OQ+61duxYZGRkQCoUoKipCaWnpoPvOnz8fLBbrosdVV13l3uc3v/nNRduvuOIKr72vCwl7UXz55ZexYMECTJ48mWlTApb29nZUVVVhxowZQ/YhhpMw2u1ATw9QX0+LQW8vHVKMjqbzbuE07lUopG8AJBLaQ25upm8QVCq6mIgJPOlDFIlEmDFjBiorK9HR0eFHK4OLwsJClJSUDDnpa8OGDVi1ahWefPJJHDt2DJMnT8bixYsHXQT6v//9L9rb292P06dPg8Ph4MYbb+y33xVXXNFvv88//9yr760vYR0+7ejoQEZGBn788UfMnTuXaXMCEq1Wi71792LKlClITk4e1mtCOZTq8gxVKrpR3hUe9XadRiCHTy+FK6dqNtO5RqmUDq+Kxf7xmkfamN/S0oITJ06gpKQEUqnUx1YGJ7t378aVV16JxsZGxMXFXbS9qKgI06dPx5o1awDQdQipqam477778Je//OWSx3/jjTfwxBNPoL29HRKJBADtKarVamzcuNGr72UwwtpTfOONNzB16lQiiINgtVpx6NAhZGVlDVsQgdD1GI1GoLWV9oTsdto7Eou9L4jBDotFfy7R0bQo9vbS3nRTE12F66rA9QWjmVSTkpKCzMxMHDp0KOxGmw2XefPmYfLkyXjzzTcv2ma1WnH06FEsWrTI/RybzcaiRYtw8ODBYR1/3bp1uOmmm9yC6GLXrl2Ij49Hbm4uVq5cCZVKNbo3MgRh++es0Wiwdu1aPPLII0ybEpC4Wi9kMhnGjRvn8etDSRitVqCjg76o63S01yORhF6u0Bfw+UBkJO0tWiz0DUVzM5139PZXwhuj2/Ly8iCVSt3j4AgX85e//AVr1qyBVqvt93x3dzccDgcSEhL6PZ+QkAClUnnJ45aWluL06dMXrV97xRVX4OOPP8aOHTvw4osvur1Vh48S12Erim+//Tays7P7JXQJ5zl9+jSsViumTp064vBnsAujw0HnDZuagK4uOkwaGRle+UJvweHQudaoKLpitaWFLk4ym71zfG/NMmWxWCgsLITZbMaZM2e8Y1yIcc011yAtLQ3vvvuuV4+7bt06TJw4ETNmzOj3/E033YRrr70WEydOxLJly/Ddd9/h8OHD2LVrl1fP7yIsRdFkMuG1117Dww8/zLQpAUlDQwNaW1tRVFQE7ig7tINRGCmK9gibm4G2NtojdIUCCaODxaLFMSKCDqs2NdH52dHc9Ht7uDePx0NRURGam5vR2Ng4qmOFImw2G6tWrcKrr74Kc5+7mtjYWHA4nIuKlTo6Oi65lJzBYMAXX3yB3/72t5c8f1ZWFmJjY31WLRyWorh+/XpERUXh5ptvZtqUgEOlUuH06dOYPn06xGKxV44ZTMJoNtNC2NxMh/tcbRUE78Ll0p8th0N7jM3NdAGTp18NX612IZFIMH36dJw6dcqn+atg5de//jWkUik++ugj93N8Ph9Tp07Fjh073M85nU7s2LEDs2bNGvJ4X331FSwWC2677bZLnrulpQUqlQqJiYkjfwNDEHaiSFEUXn/9dfzf//0fGe10AUajEaWlpZgwYYLXZxwGgzBqtXRYT6OhPRmplOQNfY1IRIuj2Ux7jUrl+dFyl8LXyz/FxcUhPz8fhw8fhtFo9Oqxgx0Oh4Pf//73eOONN/r9La9atQrvv/8+PvroI5SXl2PlypUwGAy44447AAArVqwYsI5j3bp1WLZsGWJiYvo9r9frsXr1avz8889oaGjAjh07sHTpUowZMwaLFy/2yXsLO1XYvn07uru7cffddzNtSkBBURSOHDmCpKQkZGRk+OQcgSqMTifdfN7SQnsqkZHBNdcz2GGxzhcvqVS0OKrVQ68D6a/1EDMzM6FQKHD06NGA+b4GCitXroRSqcTOnTvdzy1fvhyvvPIKnnjiCUyZMgVlZWXYunWru/imqakJ7e3t/Y5TWVmJffv2DRg65XA4OHnyJK699lrk5OTgt7/9LaZOnYq9e/cOOETEG4Rdn+I111yD5ORkryeJg52amho0NDRg/vz5o84jXopA6mO02+kiGpWKvij76O/MY4K5T3G0mEz0QyYDYmLo30tf/L1AsN1ux86dO5GVlYXs7GyfnivYuOuuu9Dd3e23HkJ/EFb3ww0NDfjhhx9IVdkF6HQ6VFRUYNasWT4XROC8x7h//34AYEwYzWa61cLVZkG8w8BAJKJvTnQ6ujc0Opp+cLn+F0QA4HK5KCgowM8//4yEhISwWWx3ODz88MOYNGkSGhsbQ2ZQeFiFT999913MnTsXY8eOZdqUgME16DsjI+OieL4vYTqUqtPR4VKDgc5pEUEMLNhsQC6n22A6O+nflV7vf0F0ERsbi7S0NBw/fpyEUfswbtw4FBcX45///CfTpniNsBFFq9WKdevW4Q9/+APTpgQUNTU1sFqtI2rQHy1MCKPTSYdK++YPSTFN4MLn0zctJhOFY8fOoqmpBTNn+lcQXeTn58NisaCurs7v5w5k7r77bvzrX/+CzWZj2hSvEDaiuHHjRgiFQlx//fVMmxIw6HQ6VFZWoqCgwC9h04HwpzDa7XS4tL2d9kAuzFURAhUKWu1Z6HQtSEgohlodASaKQblcLqZMmYLy8nLo9Xr/GxCg/OpXvwKXy8XmzZuZNsUrhI0ovv3227jlllvAIeNIADAXNh0Ifwij1UrPLVWp6PxhoBTUEIaGoii0tJyFStWCvLxiJCREuFfiGG3T/0iIjY1Feno6CaP2gcPh4KabbsI777zDtCleISxEsa6uDvv378d9993HtCkBgytsmpeXx7QpAHwrjDYb3f+m05H8YTDRVxDHjSuGUBgBFovONfJ4tMff1kZXqvqTvLw8WCwW1NbW+vfEAcx9992H3bt3h8QEoLAQxX//+9+YPXs2UlJSmDYlIHCFTQsLCwPKc/aFMDocdMhUq6UFkeQPg4OBBLEvrjm0rnF8PT1D9zV6E1c1akVFBXQ6nX9OGuBkZGSgqKgIn332GdOmjJqQF0WKovDJJ5/gpptuYtqUgMDpdOLYsWPIzMxEdHQ00+ZchDeF0emkKxfValJQE0xcShBdsNnnB7S3tdEPbw0YvxQxMTEkjHoBv/rVr/Dxxx8H/ecR8qJ47NgxtLW14dZbb2XalICgsbERNpuNkWrT4eINYXQ6zzfly+VkzcNgYbiC2BeRiBZHrZb2Gnt76bm1vr425+XlwWq1hkTI0BvcfvvtaGxsxMmTJ5k2ZVSEfHblk08+wcKFCyGTyZg2hXHsdjsqKysxadKkgAqbDsRoGvwpihbDri66qCaQ36rT6YTNZoHNZoLNZoHDYQdFOeF00ivxqlTNYLN54HC44PGE5x6CkJzbOxJBdOHyGk0muqCKx6OLqSQSOtTK59MPb0YLuFwu8vLycOrUKaSkpDBWwR0oyOVyLFiwAJ988gkmT57MtDkjJqTHvNntdiQnJ2PNmjW48cYbmTaHcSorK9HR0YG5c+cyOlrNE0YyEk6logtrJJLAWe7JZrPAYFDDaFTDYNDAbDbAZjPD4aCnX3M4AnA4ArDZPPd7NJm6IRLFgKIAp9MGh8MCh8Nybn8+uFwhBAIJxGI5pNJISCSR4PGCs6x2NII4EDYb/bDQHxe4XN+IJEVR2L17N5KTk8lQEACff/45HnroITQ3Nwf8jfdghLQo/vjjj7j11lvR3t4e9ndxVqsV27ZtQ1FRkddXwPA1ngijWk17CmIxs20XZrMearUSOp0KBoMaNpsZAoEEAkEkeLxIiMUREIsFEAqFEIkE4HDY4HBoj4fFokVw9+4tWLBgCdhsHhwOOiRsszlhNltgMplhNpthNhtgNKphMqlhsxnA5YogFsshk8UiKiph1OLiD7wtiAPhS5Hs7OzEkSNHsGjRIvAD5S6MIaxWKxITE/HVV19h4cKFTJszIkJaKT755BNcddVVYS+IAFBVVYXo6OigE0Rg+KFUrfZ8Y76/BZGiKOj1PVCrlVCrlbBYjJDJYiGTxSE6OhsUJQeXy4NYTIf5JBI6xDcYruEgItGF+7EBiM496FCxzUb3YRoMNqhUGmi1avT0dKKl5Sz4fDFkMgViYhSQSqMDLkLgD0EE6M+Qx6NvloDzItnZSf9/NCIZHx+PyMhIVFdXY/z48UPuu3btWrz88stQKpWYPHky/vGPf1y00ryL9evXu5dcciEQCPot7EtRFJ588km8//77UKvVKC4uxjvvvMOY18rn83HllVfi008/JaIYaJhMJnzzzTf43//+x7QpjGM0GlFfX4+SkhKmTRkxlxJGo5EOmfJ4/l0U2GjUoKurET09rQCAyMgEJCfnQSqNg9XKg8VCX2xlMnqNRpHIu0U/LNb5C3hEBA8JCbGw22NhtY6B0WiDUtkFlUqJ6upSsFhAZGQyFIoMiMXM59j9JYgD4alIikRD97fm5+dj3759yMrKgmiQL+CGDRuwatUqvPvuuygqKsIbb7yBxYsXo7KyEvHx8QO+RiaTobKy0v3/C29qXnrpJbz11lv46KOPkJmZiccffxyLFy/G2bNnIRQKh/+BeJE77rgD1113Hd5++23GbBgNIRs+/e6777By5Uo0NjaGZFGCJxw/fhxOpxNTp05l2pRRM1Ao1eGgQ6Z6Pe2F+Rqn04GenlZ0dtbDZNIhOjoZsbFpiIigPTGDgfbcJBLaHrHY89ymzWbDli1bsGTJEvCGcimHgcMBGI0U2tpUaG9vglbbBqFQhoSETMTEJDPy98GkIA6HC8OtQiHd5yqVDu7hHz58GDweD1OmTBlwe1FREaZPn441a9YAoIusUlNTcd999+Evf/nLRfuvX78eDzzwANRq9YDHoygKSUlJeOihh/Dwww8DADQaDRISErB+/XrG2tCcTieSk5Px4Ycf4oorrmDEhtEQsmqxadMmzJ8/P+wFUavVoqWlJaBbMDxhoHaN3l46dOrrAmOHw4a2tkqcOLEN7e1ViIlJxeTJi5GZWQCpNAYOBws9PbQnmJoKpKXRosh0monDAaRSFnJzYzF7diFmzVqMqKgUtLZWoqzsRzQ1VcLh8N8w50AXROC8FxkVdf5Gq60NaGykC7kGmn2dl5eH5ubmARv6rVYrjh49ikWLFrmfY7PZWLRoEQ4ePDioHXq9Hunp6UhNTcXSpUv7LXtXX18PpVLZ75hyuRxFRUVDHtPXsNlszJ8/H5s2bWLMhtEQkorhdDrx7bff4rrrrmPaFMYpLy9Heno6JCE0/bqvMJ48WY7ubgpise96EZ1OB5TKWpw8uR0aTReysgowYcJlSEjIApdLuw1GIz1dJSaGFkSZLDB7I/l8IC6Oh6lTs1BSchmyswug1XairGw7Wlpq4XT6dphoMAjihbBYdPjUNRGpvZ0Wx+5uOiLgIiIiAmlpaSgvL7/oGN3d3XA4HO4V6F0kJCRAqVQOeN7c3Fx88MEH2LRpEz799FM4nU7Mnj0bLS0tAOB+nSfH9BfXXXcdNm/eHJSN/AH4Zzt6jh49CoPBgKuuuoppUxilp6cHXV1dyMnJYdoUryOVSjFrVjFaWprQ1VUOgcD7f3wURaG7uwmnTu1Ad3cTMjMLMW5cMeTyBHdux+GgR4wBQEoKoFAw7xkOBzYbiIhgIS8vAfPmzUFubgF6ehpx4sRP6Oho9snFLBgFsS8ucYyOpn9WKmlx7Oo6H2bNyclBZ2cnent7R32+WbNmYcWKFZgyZQrmzZuH//73v4iLi8N777036mP7mquvvhoajQZlZWVMm+IxISmKmzZtQnFxMQRhvBSCa4Xy7OzsoEx2DwebTYrExGLodE1obfXuEHGdToUzZ3aitbUSycl5GD9+PiIjEy4q7tFo6Itkaio9OSfAijuHhUDAQk6OAvPmLUBaWi7a2spx8uQuaLUqr50j2AXxQlziyOHQs3UbG+kiHRZLhKysLJw9e7bf/rGxseBwOOjo6Oj3fEdHBxQKxbDOyePxUFBQgJqaGgBwv240x/QVYrEYs2bNCsoQasiK4tVXX820GYzS29sLjUaDMWPGMG2KTzAY6PBVVJQUubnF6O72jjA6HHY0Np5CVdVBxMSkYeLEhYiNTe0nhhRF90MCtBgmJobGUlQiEQsTJqRh7tzLEBOTgqqqg6irOw273T6q44aaIPZFKKTFkcejRbGxEZDLx6K3t7eft8jn8zF16lTs2LHD/ZzT6cSOHTswa9asYZ3L4XDg1KlTSExMBABkZmZCoVD0O6ZWq8WhQ4eGfUxfctVVV2Hjxo1Mm+ExISeKjY2NqKioCPsJNnV1dUhLSxt15WIg4nDQgkhRtBiJRN4RRto73AWjUY3x4+cjMXEM2Oz+UzlcgigSAcnJwesdDgaLBchkHEybNhbTps2D0diD06d3occVI/aQUBbEvggEtDjy+YBazYNUmoYzZ+r6LWu1atUqvP/++/joo49QXl6OlStXwmAwuHsRV6xYgUceecS9/9NPP40ff/wRdXV1OHbsGG677TY0NjbirrvuAkC3ZzzwwAN49tlnsXnzZpw6dQorVqxAUlISli1b5s+3PyDLly/H6dOn3TnQYCHk+hS/++47TJky5aLkczhhMpnQ3t4etM2zl6K39/zaiC5cwlhZSfcxJicPf1aq0+lAS8tZdHU1Ijl5HBISsgd8rdNJC2JEROh4h4PBZgNJSVLExs7F2bM1qKs7gN7eDGRm5l10ozAY4SKIfREI6AeXm4XKyp2orR2PmBgh5HLgV79ajq6uLjzxxBNQKpWYMmUKtm7d6r5WNTU19auW7+3txe9+9zsolUpERUVh6tSpOHDgAPLz8937/OlPf4LBYMDdd98NtVqNOXPmYOvWrQGRMklMTMSkSZPw3Xff4Q9/+APT5gybkOtTvOKKK1BYWIjnn3+eaVMY4+zZs9DpdCgqKmLaFK/To7GgpQWQigUDipLJpENl5X7ExqYNSxitVhNqakoBAJmZhRCJpAPu5xJEuRxISPB9MY03+xS9gVKpw4kTxwCwkJMzAwLB0BfdcBTEC6mq+hlCoRxSaR7YbLoi2dW3GkrRhaH405/+hDNnzgTVEJWQCp/abDbs27cPS5YsYdoUxnA4HGhsbERWVhbTpngdJ+VEh74T7cZmaEz6AffxJJSq1/fi7NndEImkGDduzqCC6HDQghgVRXuIwVBd6m0UCinmzJkDkUiCM2d2Q6sdvLqSCCJNQkIWVKoGyOUOSCR0UVZjIz1owmBg2jr/sGTJEuzduxcOh29bfbxJSInisWPHwOVyAyLJzBQtLS0QCARBOeP0UhisBjh5WsTFO9BpakFjZy+czotFbzjC2N3djMrK/VAoxiIjo2DQkKDdTl/MYmLodotwHqMrkXAwa1YhkpOzUVW1H0rlxbkiIojnkcniwOXy0dPTCi6X9hIjIujQf0sL3coTWnG6i5kzZw4oigqq1oyQEsVdu3Zh6tSpQbtkiTdobGxERkZGwA1+Hi1OyokeUw+4bC4U0VIkJ/Kgo9pQq+yC3eG8aP/BhJGiKDQ3n0FT0ymMGTMDCsXA+UOADplqtUBcHB0yDeOvlRsej4UpU8YgP386WltPoK7ubL/PlgjieVgsFuLjM9DVdX4RYi6XDsFzufSEHKVy4Ok4oQKXy0VhYSF27tzJtCnDJqREcceOHSguLmbaDMbQarXQarVITU1l2hSvo7fqobPqIOHTk3mipCJkJEtg43eiRqmE2Xpx28CFwuh0OtHYeAK9vW3Izy+BXD7wEGbgfJVpVBQtioE4nYYpWCxgzJgEzJhRAq22BdXVJ+FwOIkgDkBMTCoMBjVMJm2/50UiOseoUtHhVKORIQP9QHFxMX766SemzRg2IfOnbrPZcODAASxevJhpUxijoaEBSUlJAVGY4U2clBM9xh7wOXywWee/shEiPsakyMGJ6EFNZys0BvNFr3UJY1dXI86e3QWtthvjxs255EVbp6MHehNBHJyEBClmz54Dk6kLp0/vQnd3MxHEC+By+YiKSkJXV9MA2+ibLpOJDqeq1aEZTl28eDH27ds36n5XfxEyf+5Hjx4Fl8vFzJkzmTaFERwOB1paWpCens60KV7HYDVAb9NDzBNftI3P4yA7KQoRUQY09baiU31xAY5QGIGIiGiYTHrI5fHg8YaunDSZaG8oPj48i2o8QS4XISEhDlarHgJBNHi80Jmx6y3i4tKhUjUPOFeWxaLDqRwO7TF2dNB57FCiuLg4qPKKISOK4Z5PbGtrg0AgQHR0NNOmeBWKoqA2q8Flc/t5iX1hs1nIUEQiNt6OTlMrmrvU7gIciqLQ2HgCJpMOubmz0dvbNmRVqs0GmM10DjGEZqj7BNcowa4uJYqKZsNm06Km5iQcjhB0d0aBVBoDLpeH3t72QfcRiehlqbq7aXHs2/Qf7Ljyirt27WLalGERMqIY7vnElpYWpKWlhVyBjdluht46sJd4IYkxUiQpuNA429DQoYLd4URbWxU0mk7k5hZDJosdsirV6aTDprGx9N07YXBcgtjS0oLi4mIoFLEoLp4Nk6kDDQ1VcF5c+xS2sFgsxMamQaUaerKLK5xqMNDhVI0mdMKpwZRXDAlRdDqd+Pnnn/utKxZO2Gw2dHd3u2cihhI6qw5Oygkue3i9ENEyETKSxTBzlaioL4dSWYOxY2dCIKBXQx+qXUOrpcUwNjZ8mqtHwoWCGBFB5xBlMjFmziyCWl2N1tZ2Iox9iIxMhFbbBYdj6Ngoi0W3brBYtMfY2Un3yQY7ixYtwoEDB4JiKamQEMXq6mpYrdaQnOAyHLq6uiAWi90Xp1DB6rBCY9ZAxBN59LoIER/JUTyY1LXgylNhR//RNwMJo9lM36nHxZHWi6EYTBBdREfLMWVKITo7j6GjQxsSF3RvIBRGgM8XQavtGtb+YjEdvu/qosXRfHENWVAxc+ZMGAwG1NXVMW3KJQkJUTx69CjGjh0btktFKZVKxpeK8QV6ix4WuwVCrmdzHG1WGxrK65CYnghpAgeNPS3o1vYfIdJXGFtaymEwUIiOplc9IAzMpQTRRWpqErKzs9HVdQi9vZaQyo+NFBaLhchIBdTq4S/+y+PRXqNeT4dTtdrgDaeKxWKMGTMGR48eZdqUSxIyoth3SG44QVFUQKyf5m3sTjt6zb0QXqJS9EIoJ4Xa07WQyCRIzkxCVlIUouNsaNe3orVb02/fvsKo1ZZDJgvSK44fGK4gusjLy0VUlBw9PUdgtzuhViPsw6m0KHZ4FEJks2lhpChaGLu7gzecmp+fT0TRXxw+fBhTp05l2gxGcC3pE2pVp3qrHia7CSKuZ6HT9qZ22Kw2ZOZluouOkmNlSFSw0WNrRV17d78JOAIBvVCxVtuEmhrvLlQcKngqiADtGU2dWgiHwwyHoxYREXQfnmuF+nAkIiIaFOWEwTD43NjBkEjokGpHBz0JJxg/x4KCAhw+fJhpMy5J0Iui0+lEWVlZ2M47VSqVSEhICKmqU4fTgV5TLwQcgUfvy6g3or2hHZn5mRe15sTKxUhPEcHEVaJW2QGrjb7dNhiA6GgpZs8uRlNTE8rLiTD2ZSSC6ILL5aKgoAB1dZWQybRQKOjcmE43cBhw/fq1KCrKQFaWEFdfXYTjx0sHPfa///0+rrtuLvLzo5CfH4XlyxddtP8DD/wGycmsfo9bb71i2PZ7GzabDbk8waMQal/4fNpr1Gppr1Gn8659vmbWrFk4duxYwP99Bb0o1tbWwmw2Y8aMGUybwgihmE/UW/Uw2AzDasNw4XQ6UV9ej/jUeETIBr5wy8QCZKfIALEK1R1t0OitcDjoYd9yuRTFxUQY+zIaQXQRHR2NzMxMnDhxHNHRTqSm0hf33t7+Mz83bdqAv/1tFVatehJbtx5Dfv5k3HrrYnR3dw543IMHd2Hp0pvx5Zc7sXnzQSQlpeKWWy5He3trv/0WLLgCx4+3ux9r137u8XvwJp7mFS+EzabbNhyO8+HUYAlLu4ptGhoamDZlSIJeFF1FNoGwqKa/0ev1MBqNiIuLY9oUr+GknOg19YLP4XvkJSqblKCcFJIzk4fcT8jnIjs5EiK5Fk3qVggjLHBd66VSIowuvCGILsaNGwe73Y6amhpERAApKXTbi8Fwvkn9/fdfwy23/A7Ll9+BnJx8vPDCuxCJxPjiiw8GPOaaNf/Gb37zf5gwYQrGjBmHV175F5xOJ/bt29FvPz5fgPh4hfsRGRk14PH8hVweD7NZD4tldGtHRUTQRWFKJdDeHhxTcCQSCbKzswM+rxj0onjkyJGwLbLp6OhAbGxsSM06NVgNHnuJ7rBpXma/lcsHg8thIzVBiuh4E6KiHf16EokwelcQAYDD4aCgoABVVVXQarXg8eiJQUlJtLeoVltx8uRRzJ17vs+YzWZjzpxFOHr04LDOYTIZYbfbEBnZP7d+8OAuTJoUj7lzc/GXv6xET49qVO9ltHC5PEilMaPyFl0IBHRfbW8vnWe0Wr1goI/Jz8/HkSNHmDZjSIJeFE+ePIlJkyYxbQYjhFro1DXSjcPmDDrSbSCaa5oRlxwHiWz4c9nMdhPiIyWIlFxcyBPOwuhtQXQRHR2N9PR0nD17FsD5JvWkJKC7uxsOhwOxsQn9XhMXl4CuruGJx3PP/RkJCUn9hHXBgivw5psfY8OGHfjrX1/Ezz/vxq9/fSXjC96ONoTaFw6H/hx1uuDoZ5w4cSJOnjzJtBlDEvSiWFVVhfHjxzNtht+x2WxQqVRISEi49M5BgsFmgNaihcSDodLaHi0MWgOSMpKG/RqKomBz2hApjBw0RBuOwugrQXSRk5MDlUqF7u5u93MyGe01AiO/oK9Z8wI2b/4C//rXN/3SKEuX3oTLL78WeXkTccUVy/DRR9+hrOwwDhzYNYp3MXoiIxXQ6VRwOLyzkKKrbcNkooXRMLrIrE8ZP348qqqqmDZjSIJaFC0WC5qbmzFx4kSmTfE7vb29EIlEEIuHH2YMZCiKgsasAZvFBoc9vJEyFEWhpbYFiWmJ4PKGNwYOoOepCjlC99qMgxFOwuhrQQQAgUCAMWPG4OzZs/0+y8zMWHA4HHR3d0DfZ5GTrq4OxMUNHQl5991XsHbtC/jssx+Rnz90xCg9PQvR0bFoaKgZ1fsYLQKBBDyeEAaD2mvHdHneNhstjFrtJV/CCBMnTkRjYyNsAbyyclCLYm1tLfh8PrKyspg2xe+o1WpERkYybYbXMNvN0Fl0lxSqvvR29cJqsSI+dfDFggfC4rBAKpAOa55qOAijPwTRRXZ2NoxGI5TK8+FDPp+PqVOn4sQJukhGr4e7aGbq1MFbrd5++yW88cYz+PTTrZg8edolz93W1oLeXhUSEpifESwWy2EwaC69o4fIZLRAtrUF5vqMY8eOBZvNRn19PdOmDEpQi2JVVRXS0tLCcrkojUYDeQgt5WCwGmCn7MMe/E05KbTWtSIpM8mj3z9FUaAoyiPxDWVh9KcgAnTvYk5ODs6ePQtnn16CVatW4aOP3sfOnR+htrYcDz20EiaTAcuX3wEA+OMfV+Dvf3/Evf/atS/i5Zcfx6uvfoDU1Ax0dirR2amEwUC7mgaDHs88sxpHj/6M5uYG7N27A3feuRQZGWMwbx7zC5FLJJEwGtU+OjY9Iq61FejpCSxh5HK5SE1NDegQ6vBjTgFIVVVVSC6qOxzUanXIvHeH0wGNRePR9BpVpwoURSE2Mdajc1kcFgg4Ao/nqbqEcf/+/QCAvLy8oB+Y4G9BdJGRkYHa2lq0tbUhJSUFALB8+XJ0dXXh+eefgFKpxLhxU/DPf25FXBydcGxra+pXWfzxx+/AarXi7rt/2e/Yq1Y9iYceegpsNgfl5Sfx1VcfQatVIyEhCfPmXY7Vq58JiBnJYnEkurubfXZ8kYjONba30z2NsbH0/wOB9PR0Ioq+orKyMixDp1arFUajMWTCp0abESa7CVHC4fWQURSFjuYOJKQmDKsF48LXslgsOCnPO55DSRiZEkSAbrfIyspCXV2dWxQB4N5778W9994LgC4WcS22KxIBX3+9q98xDh1qGPIcIpEIn332g7dN9xoSSSQsFgPsdhu4XN+0VAkEtBC6lp+Kjw+MFWAyMzNRWVnJtBmDEiD3DiOjoqICubm5TJvhd9RqNcRiMfh8PtOmeAWtRQsOizNsgdFr9LCYLIhVeOYlAoCQK4TJboLKqBpRGDQUQqlMCqKLtLQ06HQ69+zeC5FI6Iu42RwcjemewuMJwOMJYTR6P6/Y/zx0nlGlor3GQKhvyc3NRUVFBdNmDEpQi2J1dXVYNu6HUj7R6rDCYDV4tGZiZ2snYhNjweF6ftvLYrEgE8jQY+qBzjqy4ZHBLIyBIIgAwOPxkJqaOuTIL7kciI4O7iWThsKXecW+cLl0ZapaHRjDxMePH4/q6mpmjRiCoBVFk8mErq4ujBs3jmlT/E4oVZ6a7WZYnVbwOcPzeu02O3q7ehGXNPLRdlw2F3wOH12GLlgdIxsDEozCGCiC6CIjIwNtbW2DluezWHQuTCIJvuHXw0EiifRqW8ZQuGam6vW0MDK5xmVubi7a29thDdARPEEriu3t7eBwOP1yEuGCRqMJGVE0WA3gsIbv8amUKkikEogGmETjCRK+BCa7Cd2G7hELWjAJY6AJIgDIZDLIZDI0Nw9ecMLj0WFUFivwp7V4ilgc6fPwaV9cvYxmM52v7dsT6k9SU1PBYrH6teUEEkEtijExMWHXjmGz2WAwGEJCFB1OBwxWAwTc4VcD9nT2IEYR45XzywQy9Jp7obWMvNM5GIQxEAXRRWpqKtrb24fcRyKhPUajMXgX2B0IiUQOs1nvtck2w4HFosPSDgftMTLR5M/n8xETE3PJ3ztTBLUoxsZ6XmgR7KjVaohEopAosnGFTgWc4YmizWqDXqtHZGykV87PZXMh4ArQaeiE3jry2+ZAFsZAFkQAUCgUUKlUlwylRUXRD43/HCufw+MJ/VJsMxBSKR1SbW2lB4r7+ysbGxtLRNHbhKsohlLo1GQzuVskhoNGpYE4Qgy+wHs3BGKeGBQotGhaoDarQyqUGuiCCNCtEzKZDB0dHUPux2YDcXF0ewZTYT9fQOcVmVF6sZhe27K9na5O9edXloiiD2hvbw+pdQSHi8lkCpl5p0a7ETzO8Hu01N1qRMV6fz28CH4EeBwe2nRt6DZ2j6iHEQgsYQwGQXShUCiGlV/i8+nh4Q4H8xWU3oLPF8FqZa7qRSSiH0ol3c/orwWL4+LiiCh6m9bWViQmMj/D0N+YzeaAmMgxWuxOOyx2C3js4Ymi0+GEpkfjtdDphYh4Ioh5YnQYOqDUKWF3jqw5LhCEMZgEEaBFsbOzs9/Yt8GIiKDbNJisnvQmPJ4QNhuzFUQCAR1O7eqixdEffaEKhQJtbW2+P9EIIKIYZJjN5n7L4wQrVocVVsfwWzF0ah24XC5EEaOrOh0KPocPuUCOHnMP2nRtsNhH5o4wKYzBJogAIJfLweVyoVINbwFgiYQO9QVAhHrU8PlC2GzMu708Hl2A09Pjnyb/xMREtLS0+PYkIyRoRbG9vT0s2zEsFkvIiCKF4ecT9Vo9IiIjfD5WjcPmIEoYBZ1FhxZtCwzWkS1Ox4QwBqMgAvRAhZiYmEGn21yIUEh7N6EQQg0ET9GFa8FijYauTPVlpW9ycjIJn3qbUFtgdzhQFBUynqLZZgabNfyvn1FnhEQ6/JUtRgOLxUKUKAo2pw2t2lZozCMrhPCnMAarILqQy+XQDLO0lMulvcVQ6FsMJFEEzi9YrNP5dmCCQqHot9h0IBG0oqjX60OmCnO42O12OByOkBBFMZ8uFhpu7s6gNfhNFF3IBDKw2Wy0alvRoe+AbQT9ZN4SxrVr1yIjIwNCoRBFRUUoLS11bxtIEL/66iuMGzcOQqEQEydOxJYtW/odj6IoPPHEE0hMTIRIJMKiRYsYHb0VGRkJtVo97P0jIkIjhMrjCeBw2OFwBM6AVzab9sZVKt+FUeVyOQyGkUVhfE1QiqLT6YTRaAyZ+Z/DxWw2g81mg8sN6sVNAABSvhSRgkjoLJe+HbVZbLBZbRBL/V91K+aJIeaL0WXsQpOmCRqzxmNhG60wbtiwAatWrcKTTz6JY8eOYfLkyVi8eDE6OzsHFMQDBw7g5ptvxm9/+1scP34cy5Ytw7Jly3D69Gn3MV966SW89dZbePfdd3Ho0CFIJBIsXrwYZobcr8jISJhMJliGGRMVCulq1ACdFDZsuFw+WCxWQHmLAF2RajL5ri/UJYqB0Lp0IUEpikajERRFhZ2n6AqdButyRX1hsViIEceAz+HDZBu6lNCgM0AoFo5oALg34HP4iBJGwUk50aJtQZuuDWa7Zxex0Qjja6+9ht/97ne44447kJ+fj3fffRdisRjr1q0bMGT65ptv4oorrsDq1auRl5eHZ555BoWFhVizZg0A2kt844038Nhjj2Hp0qWYNGkSPv74Y7S1tWHjxo0evS9vwePxIJFIhh1C5fHoPrtgzyuyWKxzIdTAeiMsFv359vb65jOOjIyE3W4f9k2QPwlKUdSf694NN1EMlSIbFwKuALHiWJjspiF7A406IyNeYl9YLBYkfAlkAhk0Zg2a1E1QGVVwOIdfjTASYbRarTh69CgWLVrkfo7NZmPRokXYtm3bgDnEgwcP9tsfABYvXoyDBw8CAOrr66FUKvvtI5fLUVRU5N6HCeRyucch1FBYVirQ8oouhEJaEHt7vX/sqCi631gfgJMYglIUdTodeDxeSAnEcAiVIpu+yIVyyAXyIeePWi1WCISB0ZvJYXMQKYoEh81Bu77d4wpVT4Wxu7sbDoejX1EZRVHgcDhoa2sbsKhGqVReVISWkJDgbpB3/TvUPkwgFoth8qABUSikPcZAWCNwNPB4AlitgSeKAH3joVbTc2e9iUgkAofDgS4Alz8JWlGUSPxbdBEIhErjfl/YLDZixDHgsDiDhlGtFit4At+sTj5SRDwRIoWRMNlNaNI0oUPfMeyQ6mhCqa4cok6ng1QqDboq06EQCoUe5TQFAjrEF+xVqIHqKQJ03tbp9P58VDabDbFYTETRW+j1eohEvmviDlRCLXzqQswTIyEiARa7ZUBhsVlt4PEDSxQBWtBlAhlEPBG6jd1oVDeiXdcOg/XSBQTDFcbY2FhwOBx0dHT0K6rh8XhISkoa8DUKheKiWaIdHR1QKBTu7a7nBtuHCTwVRSA0QqiB0sA/GFIpXXDj7UinWCwOjfDpnj17cM011yApKQksFuuixLxer8e9996LlJQUiEQid2FAX8xmM+655x7ExMQgIiICN9xww0V/oJs3b0ZOTg5yc3Px3Xff9dsWrp6iw+EI2aWyIoWRSIhIgMlmumjhX5vF5tUh4N6Gz+EjShQFAVeAXnMvGtWNaNY2Q2vRDplzHI4w8vl8TJ06Fdu3b3cL4qxZs7Bnzx7MmjVrwOPOmjULO3bs6Pfctm3b3PtnZmZCoVD020er1eLQoUODHtMfCIVCjwsv2EF5W98fNpsDpwe5aX/D4dAPlcq7Df2j8RSHalGqrKxEcXExUlJS8Oyzz3p8bI+/UgaDAZMnT8batWsH3L5q1Sps3boVn376KcrLy/HAAw/g3nvvxebNm937PPjgg/j222/x1VdfYffu3Whra8P111/v3m6xWHDPPffg7bffxpo1a7By5cp+S8uYTKaQCyMOB09WlAhGokXRiJfEQ2/Vu/sXKYoKWE/xQvgcPiKFkZAKpDDZTGjWNKNB3YAeY89FQu9iOML44IMP4v3338eHH36ImJgYrF69GgaDAXfccQcAYMWKFXjkkUfc+99///3YunUrXn31VVRUVOCpp57CkSNHcO+99wKgi4YeeOABPPvss9i8eTNOnTqFFStWICkpCcuWLfP+BzNMBAIBzGazx2X6AVjV7yEsAIH9JiQS2lP0ZrRTKBTCOIJk5VAtSgBw77334rbbbsOmTZuwadMmHDhwwKPjeyyKV155JZ599llcd911A24/cOAAbr/9dsyfPx8ZGRm4++67MXnyZLeSazQarFu3Dq+99hoWLlyIqVOn4sMPP8SBAwfw888/A6BFkcPhYMqUKSgoKACXy+13B+l0OsEOhVtEDwn19+1q04gTx7m9LLuNFsdgEEUXHDYHUoEUkcJIUKDQpm9Do7oRnYZOGG3GiypthxJGiqIwceJE3HXXXfjyyy9RXFyMsrIybN261V0o09TU1G9k1uzZs/HZZ5/hn//8JyZPnoyvv/4aGzduxIQJE9z7/OlPf8J9992Hu+++G9OnT4der8fWrVsZDc8LhUJQFHXJtRX7wmLRj2CGxWIFZL9eX/o29HsrXM1ms0f0vgdrUfrggw8AAL29vZg6dSomTZqEpKQkjyqaAR/kFGfPno3NmzejtbUVFEVh586dqKqqwuWXXw4AOHr0KGw2W79y8HHjxiEtLc1dDi6TyXDHHXcgMTERSUlJWLlyJaRSqXv/UBeHwQh1TxGg83Sx4lhEC6OhsWhgs9kAFsDmBN/vm8ViQcwTI1oUDQ6bgy5DFxp6G1DfW48OfQe0Fi0sdgsoihpUGCsrK9HS0oIXX3wRTU1NsFgsOHToEIqKitzn2bVrF9avX9/v3DfeeCMqKythsVhw+vRpLFmy5CLbnn76aSiVSpjNZmzfvh05OTk+/0yGwpUaGM5qGX0JcD25JCwWG9QIlyvzJ66Gfg81ZlDYbDYcHsZjh2pRcunH008/jUWLFkEsFoPNZmPx4sUencPro1H+8Y9/4O6770ZKSgq4XC7YbDbef/99lJSUAKDLwfl8/kU9hheWgz/55JN44IEHwGaz+wkiQEQx1OGwOYiPiAcAdPR2gIXgf89CrhBCrhBOygmL3QKVSQWn0QkemwcBR4AIfgSEAiFmzp6Jnw/8TN8MgF4NZs6cOSFVZToYLBYLLBbLI1H0tafopCh06EwwWu0Q87lIkIrA9vIJg8FTBPo39EuldPXv6I7n2e8aGLhFCaD1o6KiAgCwZMkSdHV1QavVjmjNXZ+I4s8//4zNmzcjPT0de/bswT333IOkpKSLGoovxWBj3JxO57nRSEHeoOQhDocDTqczbN53jDAGRp4RYAFGsxECbmjkkfksPvhcunDI5rDBbDVDZ6KTNTwODxnjM1B5rBIAUJCaCkFvL2y+6KAeCXI57TL4CIqioNVqwecPr7DKbqeLP3yxokNDjx576zrR2GuAxeGAgMNBepQEc7PikRHtvZsUtboDWm0XHCOYretveDw6t9jdDcTHj+5YJ0+exJYtW7B8+XLvGNcHgUAw4kXovSqKJpMJjz76KL755htcddVVAIBJkyahrKwMr7zyChYtWgSFQgGr1Qq1Wt3PW/SkHJzFYsFqtV405Dgc6O3txYkTJ5g2w++cOXCGaRMY4eeaGqZN8Dt9KwmHS329d21QGoHdShYMNhai+ACfA1gcwKFu4HRDJeYpKCi8PGTp2LHguZ556/OeOHGiR/v3bVHqizfbibwqijabDTab7aLQJofDcbvJU6dOBY/Hw44dO3DDDTcAoPMmTU1Nwy4Hdw3FvjBPEuocOnQISUlJSE1NZdoUv2E0GrF7924ULyxGh57+Q5AKpJd4VXBCURSa6xrR29mLsRP4qDhuAZ8DpMbEISc5hfnQucVCu2Tp6XSNvg/YsmULFixYMOw+ZIMBaGoCzk0N8woWuwPHjtaBI9ZjUpQEHDbbHaLNoCjU9xqgEspwRUGmV0Kp3d3NUKvbMWbMjFEfy1+o1XTQQKEYefh64sSJSEtL8+g1rhalHTt2uCulnU4nduzY4a6uHi0ei6Jer0dNn7vX+vp6lJWVITo6GmlpaZg3bx5Wr14NkUiE9PR07N69Gx9//DFee+01AHRI9Le//S1WrVqF6OhoyGQy3HfffZg1axZmzpw5LBvYbDacTid4vOCpSPQGHA4HbDY7rN43j8cDRVGIlkRDwBfQBSo2LWQCGTjs0OnZpCgKjdW1UHf1YvJ0KeJk6ajAaczMFeBQlQpsDhd5ycnMCiObTV8B+XyfNAi68mo8Hm/Y33Ee73wf3aUYbn7wdIsa++q7IeByoDs3fpDFAtgsFtgswOpw4pRSg26jHYmy0buLdC6VAw4neP6uXWsuWix0fnEkuMYVesqqVatw++23Y9q0aZgxYwbeeOONfi1Ko8VjUTxy5AgWLFjQz0AAuP3227F+/Xp88cUXeOSRR3Drrbeip6cH6enpeO655/CHP/zB/ZrXX38dbDYbN9xwAywWCxYvXoy333572Da4RDHcCJaEvDdx5ZZsNhsi+BHgyXjoNnaj19wLEVcEES/4JxtRFIX6qipourQomB6FxJgs2O307zkiQYFiSxv2N3YBALPC6HTSYuijIjdX29Vw84kuKOrSgtfQo8Pu2g409uphsTsg4HKQHhWBuVnxEPG4/V5ntDngpChw2ax+53BQFBznfrbYHTBavdObEIwFdK4bkZ4euodxJF+JkRZMLl++HF1dXXjiiSegVCoxZcqUfi1Ko8VjUZw/f/6QF2aFQoEPP/xwyGMIhUKsXbt20AEAl4LL5cIe7LOdRkA4iiKXywWHw4HZbAafz4eAK0CiNBESvgRdhi6oTWrIhDKwWcFZjex0OlBfXQltlwHTixSIj3aFxs9VjgijII3vRbGTjf0t9ErljAmj0zn6ksMhsFgs4PF4HnsPzVodvh1A8OZlJyAjWoqGHh2+LGuAxmRFvFQIIVcEs92O4y0q7KlTIkYsAI/Ddr8uP0GO3Hg5ZEIexDwunBQFiqLgPCe+eosdJhstot6AFsXg+/5KJHQYVaejQ6meYrfbR7w27L333uu1cOmFBOVqtRERER5N0w8VwtVDds3ElMlkAOhexkhhJIRcIS2MZnVQeo0Opw31VeXQd1tQNCsNsZED3Omy2IA8EVJjE4ozk7G/vhUAQ8Jot/tUFEcy8L66Q4fN5Q0wO/sLXlWnBh06E345OQO7a5RQm6zIjI5wf2Y2BwWN2QqV0QIui4WClBhY7A5UdWqg1BohE/DQpTMjIzoC3D7eDEVRUGpNyI2XI0Hqne8bRTmDzlMEaO9QIKArUSUSwFN9M5lMAdlqFJSiKJVKRzQeKNjh8XgeTfsIFQYbFC3kCpEsS4bEJEGPqQc9ph6IeWIIuYE/NN3mMKGxugr6bhtmzc5GlDx68J0FMkAeAalJheLcHOyvrALAgDA6nXQ+0Ud4ujSa00lhW3kHtBYrchLOC56Ez0NGNBcNPXp8X96MM0o1bE4KeqsNPDYbHBbQojFCb7VDyufCaLPDbHMgQnD+dfERHMhEfDT06BEXIYSIx4HJ5kCX3gy5iI+S7ASv9Sva7VZwucGTT+yLq29RowFiYjx7rcFguKgHPRAISlGMiIgIS1EUCoVh6SEPNSiazWIjWhyNCEEEtGYtekw96LX1QswTB2xfo9mmQWtdHQwqB4qLcyGXDePCIFUA+mpILXoU5+ZifyXdx+g3YaQoutrEh0Venopiq9qE2i4dNBYLKrsc4HM44HHY4HPYEPO5iIsQoqFHD72FDnXaHRTsDgcsdgdUBgvsTifsDjrycqZDDbmQBy6bDSGXDY3FhivHJeNshwaNvXp0G8zgcznIjZej5FxY1lvYbGYIhYHnMQ0HFotuW+3poVcs8cTRNxqNxFP0Fi5PMdwm2wiFQvQGShO3HxnOzQCfw0esJBZSgRQaiwa9pl4YbUaIeCIIOIKACU8ZrV1Q1jdD301hTnE+pNJhVi9yhUBkLNDeCako0v/CaLfTghhAomiw2qE307lXo9UBI8538MdIBEiRi+GkgHipEAqpGAIuG3YnBZXBjE69CVyKBZyblkRRFIxWBwAHhBFCWO0ORIsF+PW0bJ9PtLHZLJBKY716TH8iEtHeoloNDLfWxW63w2w2E0/RW0ilUlAUBZ1ON+jUm1DEtYpAuBEREYHW1tZh7SvgChDPjYdMIIPGrIHWokWvrRc8Ng9CrhA8hsreKcoJvbUNqsYu6LopzJ0zHhERHoZ5JXGAtBfQtEMqS/evMFqtdOjUh6Ko0+k86sEV87gQniuOEfLZsDqcsDmcsNodiBBwYbI5IBPyECMWol1rREafnGKkSAABlw2D1Y4oER+58XI4nBRsDiecANgOFsR8LtgsllfaLobCajWDxwv8kP9QuIpu5HJ6cPil0Gg0ABCQohiUbpbL5Q43r2kki7CGApGRkVCr1R5V3gq5QiREJCAjMgOpslSIeWKYbCb0mHpgtBndS1P5Aydlh9Zcj96mTmi7RiiIAMDmApEKgKsFrHpIRSIU5+aiqbsb5ecG8PsMq5WOj/lIeCmKumjK1aVIiBAhVS6F3mqDTMBDnESIJJkYGdFSRIsE6NKbkRktxZL8ZMjP5Qf1FhtEXDZEPA469WYIOGxkxUgh4fMgE/IRLRZAb7YhIyrCa4U0l8JmM4PHC8xQ/3DhcumU83BxXbsDcV3coPQU+Xw++Hy+x0uCBDtCoRBWqzXswsYymQxOpxMGg8HjHASPw4OcI4dMIIPFYYHBaoDWooXJZnILI5/DB4/DA4/N87q3ZXeaobc0QN9qhrqThTlz8kYmiC5E0UCkCuhWAvwxbmH0qcfoutr5cOapXq93rxYyXJxOFmamJKDHbBqyICYjWopfTcnArholKjo1MFltYAGQCrgQ8bjgsFhwOJ0+K6QZ+j044HDYwOcHt6dotw9/iAJAe4oikSggF00PSlEE6DsMrVbLtBl+xVWubrFYhj0GKxRwrZSi0WhGnJhnsVjulSqiRdGwOqywOqyw2C3QW/Ww2q3QO/WQ8qVeC7Fa7FqY7U0wtDnQ00mNXhBdyBIBQwNg7qX7GH0tjBYLHRPz4VqLGo0Gcrnco5s9hwNIlkqxvCDD3Zh/qYIYo9UOpc4Eq8MJPocDtcmKsrZeRIv5iBILkBMnQ74iEg4nhXat0Sc5xL7YbBYALHADtChsuDgcnotiIBbZAEEsilKpFCqVimkz/AqbzXbnFcNJFIHzIdTk5ORRH4vFYkHAFUDAFUAqkCJWEgubw4Zecy86DZ2I4EeAzxld64HZ1gO7owXGNhZ6OijMKfaSIAIAPwKQRwDtSkAgB1hs3wqjyUQPufThXb1arfa4PsDhoKO5GVFSpEVFDFoQ42reb9MY0WuygMNiI1LIhcXuAIfNgpjPgYTPRUFyNFQGC76vaB1wCIAvcIVOA6UQbKS45joM955GpVIFZD4RCNKcIkBPzhlu8UUoEa7FNi5R9BU8Dg9x4jgkSBKgt+pHlXPUW1tBUS0wtPHQrXSguHic9wTRhTQJkDoA4/nVAnySY7Tb6YSRj3M/nuYTAaDvCmqugpjsWBkSZWK3IDopCrtrO9ChM8Jks8PqcCJSxIOYz0OUWOCeVqMxW7HxdBOqOjWQC3lIi4yAXMhDVacGX5Y1oKFH58V3ex66yCa4vUSA/pp40sLa1tbmtVUtvE3QimJycnJYimK4FtvExcVBpVL5dC1JFouFWHEsooRRMFgNHr+eopzQmhsgYKugbxWiU2nxjSACAIdPt2hABTjOD3TwujAaDPTEZx+GTq1WK3p6ejxe/85kunQxbIfOhMZePUx2B1o0RvQaLajv0aNZrUeHzgwnBbRqjKjr1qO51wCD1Y5ekxVqkwUssJAWJYHGZMWe2g44fVDIZLOZwecHf9TH07kOra2tXon6+IKgDZ8mJSWhvb2daTP8zlCN7KGMRCJBREQEOjs7ffrHxGKxIBfKobFo4HA6hr0Sh8Nphd5aDynfip4mCZTtOt8JogtJPCBTA72tgCzT/bTXQqkOB920L5f7dHn7zs5OSKVSiMXDb32wWmlRvNSF2Gi1w2J3gHtubrB7sLfTAbPNAT6XA5PVDg6bBTabBa3FBpvzvPi53nZNtxYdOpPX2zNCofIUoL8mnox5a29vR1JSku8MGgVB6ykmJSWhs7OTaTP8Trh6igAdMlcqlT4/j4QngZQvhd6qH9b+VoceBls1ooVO9DZHoL3ND4II0HNRZQkATw9Y+hedecVj1OtpL9HHoVOlUulxKM1iocOnlxJFMZ8LAZcDhVSEGIkAqZESJMnFiJEIECHgQchlQ8DjIELARZRIgLRICeIjhJAKeeByWO4VOBxOymurYvSFFsXgrjx14UnKuauri4iit0lMTERXVxfTZvidiIiIsKu6daFQKNDR0eHzoegsFgvRInoWqc0xdLjWbOuFzdGAOJEAXU1itLVq/COILkRRQKQIMF98szAqYXSFqaOjfeolOp3OEa2abjINz6wEqQjpURHQW+yQC/kw2R0Q87iIFguRKBNBwOUgVS4GBRbkQh5SIiVIiZRgbKwMkxKjMDExCqmREgh4HK+titH/feiCdsSbC4eD9hI98RS7urqQmJjoO6NGQVCLYnd3N9Nm+J3IyEhotdqwXC0jKioKbDYbPT09Pj+XmCdGpDASOuvgBRYGazsotCBOLIOygY/Wll7/CqILWRIgsQKmi/8eRiyMOh29kqyPvUSVSgUOh+NRkY3TSZs3nDmbbBYL87ITECkWgMtmg8NmQW2ywmC1oddoAZvFgpjPQ6xEABHvwqs6C1w2CwaL3SfN/E6nE0ajFhJJpFeP62887VEEiCj6hKSkpLAURVdvj14/vNBeKMFisZCQkIC2tja/nCtGHAMhRwijrf/webqgph4CjgoJkni01rHQ0tLDjCACAE9M5/1sHcAAVbMeC6PRSDfqe7rswQhwVSF6kvO0WM5PnRsOrub9gpQYJMnE4LBZMFjt4LDZSJKLUZgSgztmjEWSXOyeeuNwOqG32NDQo/dZM7/ZrDvXZhV4U108wen0XBS7u7sDNnwatIU2iYmJ0Ov10Gq17nX2wgEWiwW5XA61Wh1W79tFWloaDh06hPHjx/t8Ggafw0ecJA4t2hbwOXxw2dxzBTUNkAmsiBaloK5Kh5YWFXOC6CIiAZBqAEMHEHFxIdKwi2/sdlp1UlJ8ukwUfSo7WlpaMGvWLI9eZ7GcbxYfLhnR53sZ9Rabu58xQsBz9zQmy8XDHgLgDQwGNcRiedD3KDoc9BJSw30bPT09MJlMAespBq0oxsTEgM/no7a2FgUFBUyb41dcPXtpaWlMm+J3oqOjIRAI0NbW5tHw6JEiE8gQLYqGyqSChMeH2d6MaBEQJcxEdWVPYAgicK5FI57uW7TH0KtqXMAlhZGiAK0WiI0F/HDD1dbWBpFIhKioKI9ep9ONbC75pYZ79xVOX66K4YIWxUifHNufeNqjWFdXB6FQ6HFfqr8I2vApm81GZmYmzpw5w7Qpfkcul7unzIcbLBYL6enpaGho8Nv54iRxkPIFsDkaEC/hIVY8JrAE0YU4FpDzAOPg4eUhQ6kaDV1tGhvr0+IaFw0NDUhPT/fIU7LZALPZd07sYEMAfIHRqA76fCJA30t5cpNy+vRpZGdnB6yHHLSiCAC5ubkoLy9n2gy/ExkZCY1G49tVEQKYtLQ0aDQavw2E57K5UEQkIFEajyhhLCrKlYEniMC5Fo1EgG8ALIPfNA0ojK7KlYQEz8oIR0hvby+0Wq3H0Q6LhX74OLLrc1xFNmJxaCx958lXpqKiArm5ub4zZpQEvShWV1czbYbfcc0M1Ol8M3oq0OHz+UhNTUVtba3fzingyhDBH4Py8h60tHQHniC6EMqBSAndokENXqHcTxjr60GxWPR8Ux9OrulLXV0d0tLSwPMwDmqz0U6sRkOLY7BiNuvAYrGDvh3DdV/uSX63pqaGiKKvyM3N9VsYLZDoW2wTrmRnZ6Otrc1vVbgUReHs2Ua0tOhQXJyOiAj/rcfoMbLEQVs0+iIViVCcmoomjQblRiMoDybKjAadToe2tjZkZ2d7/Fq5HEhPB6Ki6FxWTw/t5Ppw+p9PMBjUkEhCo8jG0x7FhoYGIoq+IicnB01NTUybwQjhnFcE6NaU1NRUv4TPaUE8i5aWFhQXz0VERAYAFoAAHaLAFQGR0YCjc8AWDTdaLaRCIYqnTUOTUony8nK/hOTLy8uRlpY2ogVm2Wx6rePERCAjA0hNpSsfTSZaIA0G+kId6BiNoVFk4+mSUQDQ1NSEnJwc3xk1SoJeFDs6OsJSHHy9akQwkJubi46ODp9+Dv0Fsfhcn2gEgCQAPAC9AAJwkEJEAiBlAYYB5gM7nUBvL10dkZwMaUICiouL0dTU5HNh7OnpQWdnp1c8BR6P9hxTUmiBTE6mn9Pp6LdnMp0P7wUaBoMGEknw5xM9FcWenh50dXURUfQV8fHxkEqlOHXqFNOm+B1XsU04TrZxIRKJkJmZibNnz/rk+AMLogsJgBQAMgBqANaBDsEcbC4QmQBw1EDf4QNWK6BW0y0XKSm0mwU6T+1rYaQoCuXl5cjOzobQi7lLFotOhUZFAWlptEDGx9Pb1Gr6EUj5R6fTAaNREzKe4nAmC7k4deoUIiMjEeOHwRAjJahFkcViYcyYMT67KAYyUqkUXC437BZavpCxY8dCrVZ7fTj80ILoQgDaY4wHYASgBxBArokoGpDx6RYNiqIHfBuNtGIkJV10NfO1MHZ2dkKj0WDMmDFePW5f2Gxa5+PiaHFMSwu8/KNOpwKXyw/6IhvA8x7F06dPY+zYsb4zyAsEtSgCQF5eXlh6iiwWy2+rRgQyfD4fY8eOxenTp+HwUjJpeILoggNaFFPP/dwLIEDcEhYbkCcCIjPQ20ZXQ6Sm0qI4SLzLV8LocDhw+vRp5OTkeFxxOlI4HLrtMtDyj2q1EpGRno22C1Q8XTLqzJkzGDdunO8M8gJBL4pTp04NS1EEzi+lFK79ii6ys7PBZrNRVVU16mN5Joh9kQJIB6AAHUrtBfMhVSsgcACRUUBiHO02SS89rswXwlhRUQEOh4OsrKxRH2skDJR/5HL9n3+kKApqtRJRUYG56rynsFieieKpU6cwbdo03xnkBUJCFMOxgR+gV6O3WCxh26/ogs1mo6CgALW1tejt7R3xcUYuiC64AGJBi2MMaI+xF4C/1780A+g5928sEDkRiMnw6OrlTWHs6elBfX09CgsLwWYze8npm39MT/d//tFk0sJut0IqjfXdSfyE00l/nsMtsnE6nSgvL8fUqVN9a9goCXpRLCgoQFdXFxobG5k2xe9wOBzExcWFfQgVoFtUxo4di+PHj48ojDp6QeyLELTHmAYgDnR1ag8AHXznPdrOHb8HgAN0SDcDQMI5ezzHG8LocDhw/Phx5OTkBNwAeybyj2q1EnJ5PNhs3w6z9weuHsXhimJdXR16e3sxZcoUn9o1WoJeFGUyGbKysrBv3z6mTWEEklc8z9ixY8Fms1F5buD1cPGuIPZFBFqc0kHnHMWgvcce0BWrJtBi5qnYUOdeZzp3HJdXKD53noxz5x19hedohbGiogJcLtenxTXeoG/+MT3dd/nH3l46nxgK2Gx0kc1wU8T79u3D2LFjR9Sf6k+CXhQBYNq0aSgtLWXaDEZISEiAWq2G2ezvEF3gwWazUVhYiLq6OnR1dQ3rNb4TxL7wAMhxXrDSQIdXAVrM1KCFrReABrTH5wqJ60EPCdCc2957bn/X7zvm3PEyzh1ffu583mOkwtjZ2Yn6+noUFBQwHjb1BD6/f/4xKck7+Uer1QSjUQO5PMHrNjOBxUIPUhhuvdDhw4cDPp8IhIgoTp8+PWyLbVxLsHR0dDBtSkAgk8kwadIkHD58GAaDYch9/SOIFyIA3duYACDz3CMDtKAlghY5Keg+SID2/mTnnk/EeWHNBJB17jiyc8f1HZ4Ko16vx5EjRzB58uSAC5sOF1f+MTr6fP4xLo7eNpL8o1rdgYiIKPB4vv1d+QPXr9+TdtNTp05h+vTpvjHIi4SEKBYWFoZtsQ1AQqgXkpaW5l6M2DZIUogZQbwQNgA+aAGUA4gGHfZMOvdAn5/jz22XndufD3rUnP8YrjDabDYcOnQI6enpflnz0h+48o/x8SPPP7paMUIBq5Vuc/VEFMvLy1FYWOg7o7xEyIiiUqlES0sL06YwgkKhQFdXl9f69EKB/Px8iEQiHD169KKLd2AIYnByKWGkKApHjhyBWCxGfn4+Q1b6lpHkHx0OO7TarpARRYsFEImGX9BcX18PlUoVFAvCh4QoyuVyjBkzBtu3b2faFEaQSqUQCATDzqOFA2w2G9OmTYNer+838YgI4ugZShjPnj0Lo9GIadOmhURz+qUYbv5Rq+0Cny8KiSk2AO0he/Kn89NPPyEnJyco/t5CQhQBYMGCBdi1axfTZjACi8VCYmIiWltbmTYloODxeCgqKkJTUxNqamqIIHqRgYSxqqoKTU1NKCoq8tvUmkBhqPxjby/Q0dEKmSwxJG4U7HZa+D2Zebpz504sXLjQd0Z5kZARxYULF+LQoUNMm8EYaWlpaGtrg9XK9BSVwEIqlWLWrFmoqqrCgQMHiCB6kb7CeODAAdTU1GD27Nlh/9lemH9MSrJCr2+HVJrmzj/aA3g5zkthtdIesieiWFpaigULFvjOKC8SMqI4b948VFVVhW0IUSaTQS6Xh21edSjkcjkSEhLQ3d2NtLS0sL9oexOpVIrU1FR0d3dDoVAEbaWpr+BwgN7eZkRHRyE3V+rOPxqN5/OPwbbQjdVKL7IyXKe3vb0dNTU1mDdvnm8N8xIhI4qJiYnIysrC999/z7QpjJGeno7Gxsawn4XaF1fItLu7G9OmTUN9fT2qq6uZNitkqKqqQmNjI6ZNm4bOzk6/LVQcLFAUhcbGRqSnp1+Uf0xMpMOQWm3gr//ogqLohydVp1u2bEFubi7iXfP0ApyQEUWADqHu2LGDaTMYIzk5GUajcVTzP0OJC3OIycnJKC4uRk1NDU6ePBnWa1GOFqfTiRMnTqCurq7fZ+uPhYqDiZ6eHpjNZiQlJbmfc+UfY2Lo/GN6ev/8o0YTWOs/9mUkodOffvopaPKJQIiJ4oIFC8I6r8jlcpGSkhKWc2AvZLCiGrlcjpKSEqhUKhw8eJDkYEeAxWLBwYMH0dPTg5KSEsjl9Ary/lioONhobGxESkoKOIMMCGWzAYnkfP4xPR2IjKR7HgMx/2i10q0YntRRBVM+EQgxUZw/fz6qq6vDerpLZmYmWltbYQnUW00/cKkqU4lEgrlz54LH42HPnj3QarUMWRp8aLVa7NmzBzweD3PnzoVYLO63nQjjeSwWC1pbW5GRkTGs/Qda/1EkCqz8o83mWStGa2sramtrUVJS4jujvExIiaJCoUB2dja2bNnCtCmMIZPJEBUVFbbe4nDbLrhcLqZPn46UlBTs3bsX7e3tfrY0+Ghra8PevXuRmpqK6dOngztI5zYRRpqGhgbExMSMqPjIlX9MTQ2c/KPDQQu3J6HT77//PqjyiUCIiSIAXH755WFdbAMAWVlZqK+vD7ucmad9iCwWC+PGjcOUKVNw7NgxlJWVDToWLpyx2Ww4fvw4jh8/joKCAowbN+6S/XbhLoxOpxP19fWjXlQ5kPKPI8knfv/997j88st9Z5QPCDlRXLp0KXbv3h12gtAXhUIBNpsdVt7PaBrzk5OTsWDBAhiNRuzcuROdnZ0+tDS46OjowE8//QSTyYQFCxb0Kxi5FOEsjG1tbeByuUhI8N6KGH3zjy6B9Gf+0Wymw7vDXfDE4XBgz549WLp0qe+M8gEhJ4rz5s2D0WjE3r17mTaFMVgsFjIzM1FbW8u0KX7BG5NqxGIxZs2ahZycHBw+fDjsvUaXd3jkyBGMGzcOs2bNuih/OBzCURgpikJtbS0yMzN9NsGGyx06/2g0ejf/6GrFEImG/5qdO3fCarVi7ty53jPED4ScKPL5fCxevBhff/0106YwSnp6OnQ6HVQqFdOm+BRvjm5jsVjIyMjAggULYDAY8NNPP6GxsTGsog5OpxMNDQ39vMP09PRRXdzDTRhVKhX0ej3S0tL8cr6B8o8cDp1/VKu9k390LSjsSX/if/7zH1xxxRVBN/Iv5EQRoEOo4Toc3AWPx0N2djbOnj0bshchX80yFYvFmD17NsaPH4/q6mrs3LkTbW1tIfs5AvRn2dbWhp07d6KmpgYTJkwYsXc4EOEijBRF4cyZMxgzZozfxWCg/GNsLL1ttPlH16oYnrylHTt2YNmyZSM7IYOEpCguWbIE1dXVYT+5JDs7G3q9PiTXWvT1cG8Wi4WUlBQsXLgQWVlZOHnyJPbu3Yvu7m6vnicQ6Orqwp49e3Dy5ElkZWVh4cKFSE5O9nroLxyEsb29HSaTCdnZ2YzaMVD+US4fef7R01aMiooK1NfX44orrvDceIYZ5mpYwUVMTAyKioqwYcMGPPbYY0ybwxg8Hg+5ubkoLy+HQqEIiQn9gH+Xf2Kz2cjMzERqaipqa2tx6NAhSKVSZGdnIzExEezhVh0EGE6nE21tbairq4NOp8PYsWORlZU1aJuFt3AJ4/79+wEAeXl5IfO9dDqdKC8vR25urs8/R09w5R+lUrqC1GSivUajkRZGoZB+DPZVdjjobZ6ETr/44gvMnj0bUVFR3nkTfiRwfnNe5rrrrsOmTZvCWhQBICMjA7W1tWhubvZbjsOXMLX8E5fLRW5uLrKystDU1ISzZ8/i9OnTSEtLQ3p6utfCjL7GYDCgqakJjY2N4HK5yMzMRFpaml9DfaEqjM3NzaAoCunp6UybMih8Pv2QyeiQqMFA5x41Gjr8KhDQ4tf312G10s970orxww8/YPny5d5/A36ARYViDAP0oOKJEyeivb0d0dHRTJvDKM3NzSgvL8dll1026LipYCCQ1kOkKAodHR1obGxER0cHYmJikJiYCIVC4RWBtNls2LJlC5YsWTJqwTIajVAqlWhvb4dKpUJCQgIyMjIQHx/PqBjpdDrs378faWlpQS+MDocD27dvx/jx45GSksK0OR7hdNLeo8FAh1VNJrpQRyikhVCtpvOUw+0u6e7uRmJiIioqKhgPI4+EkPUUc3JykJOTg48++ggPPvgg0+YwSkpKCmpqatDQ0BCUX1IgsAQRoHOOCoUCCoUCJpMJbW1taG9vx+nTpyGVSt3bIiMj/X6xpygKarUaSqUSSqUSOp0OMTExUCgUmDp1KoSexMF8SCh5jHV1dRAIBEhOTmbaFI9x5R8lEnqRZJOJFke9nhZKgF7uarh8+OGHmDBhQtBea0JWFAFgxYoV2LBhQ9iLIovFQn5+Po4dO+b3UJk3CDRBvBCRSITs7GxkZ2fDarWis7MTSqUSBw4cAABERkYiMjIScrkckZGRkEgkXrv4UxQFg8EAtVoNtVoNjUYDtVoNFouF+Ph4jB07FgkJCQH7Ow8FYbTZbKiursa0adOCzvYLGSj/aDJ51p/45ZdfYsWKFb4z0seEbPgUAFpaWpCZmYmqqipkZmYybQ6jUBSF/fv3IyYmBnl5eUybM2wCXRCHwul0QqvV9hMrrVYLNpuNiIgICIVCCAQCCIVC94PL5YLNZsPhcODAgQOYNWsW2Gw2bDYbLBYLzGYzzGaz+2e9Xg+n0wmZTNZPfGUyWVAVAQVzKPXs2bPo7e3F7Nmzg8puX1BdXY38/Hw0NTUhMTGRaXNGREiLIkCvnFFcXIznnnuOaVMYp6enBwcOHMCiRYsCJoQ2FMEsiIPhEkqj0egWuL4iZ7fbQVEUnE4nLBYLhEIh2Gw2uFyuWzj7CqlEIoFUKg0qARyMYBRGk8mEHTt2oLi4OCgrLb3Nn//8Zxw9ejSo+8RDXhQ/+OADvPLKKzh79izTpgQEpaWlEAgEmDx5MtOmDEkoCqIneLPQJpgINmF0jQOcPn0606YEBLm5ufjrX/8a1OHT4L+9vAQ33HADamtrceTIEaZNCQjy8vLQ3NyMnp4epk0ZlHAXxHAmmBr8VSoVWlpagiod4UsOHjyIpqYmXHfddUybMipCXhTlcjmuvvpq/Otf/2LalIBAKpUiJycHx48fh8PhYNqciyCCSAgGYbTb7Th+/DjGjRtHvqPnWLduHa699lpIpVKmTRkVIS+KAF2F+u2334bVYOehGDNmDLhcLioqKpg2pR9EEAkuAl0YKyoqwOfzg7btwNs4HA589913QR02dREWonjllVfCZDJh06ZNTJsSELDZbBQUFKC+vj5gwqhEEAkXEqjCqFKp0NDQgIKCgoDPefqL//73v7Db7UG3oPBAhIUo8vl83HnnnXj33XeZNiVgkMlkyM3NDYgwKhFEwmAEmjD2DZsGe5jQm7z33nv47W9/GxJFYWEhigDw+9//Hjt37kRzczPTpgQM2dnZjIdRiSASLkUgCWN5eTkEAgEJm/ahvr4ee/bswe9//3umTfEKYSOKY8eOxZw5c/DWW28xbUrAwGazUVhYyFgYlQgiYbgEgjCqVCo0NjaSsOkFvPXWW5g3bx6ysrKYNsUrhI0oAsD//d//4fPPP4fdk4XEQhypVIrc3FwcO3bMr2FUIogET2FSGEm16cBYrVZ88cUXWLlyJdOmeI2wEsWlS5fC6XTi888/Z9qUgGLMmDHg8/koLy/3y/mIIBJGClPCSMKmA/Ppp5+Cw+Hg2muvZdoUrxFWosjj8bBy5Uq8/fbbTJsSULBYLBQUFKChoQEqlcqn5yKCSBgt/hbG7u5uEjYdhHfffRf/93//F1CLKo+WsBJFALj77rtx7NgxHDt2jGlTAgqpVIq8vDwcOXIEZrPZJ+cggkjwFv4SRpPJhCNHjiA/P598Xy+gtLQUJ06cwO9+9zumTfEqYSeKCQkJ+OUvf4mXX36ZaVMCjqysLMTGxqK0tNTr+UUiiARv42thdDgcKC0tRXx8fNivsjMQr7zyCpYvX464uDimTfEqYSeKALB69Wps3LiRtGdcAIvFwpQpU0BRFE6cOOG1iwwRRIKv8JUwUhSFsrIysFgsTJ48mYRNL6ChoQGbN2/G6tWrmTbF64SlKE6ZMgXz5s3Ds88+y7QpAQeHw8GMGTPQ1dWF2traUR+PCCLB1/hCGGtqatDd3Y0ZM2aAw+F4wcrQ4plnnsFll12GiRMnMm2K1wlLUQSAv/71r/jss898XlgSjIhEIsyYMQMVFRXo6OgY8XGIIBL8hTeFUalUorKyEkVFRUGx7qi/6erqwoYNG/DXv/6VaVN8QtiK4ty5czFx4kS88MILTJsSkERFRWHy5Mk4cuQIdDqdx68ngkjwN94QRp1Oh6NHj6KgoACRkZHeNzIEeP7551FQUIDZs2czbYpPCFtRBGhv8YMPPoBer2falIAkNTUVGRkZOHToEGw227BfRwSRwBSjEUar1YpDhw4hKysLycnJPrQyeNFqtVi/fn3IeolAmIvikiVLkJSUhNdee41pUwIWVyn6kSNHhnWBIYJIYJqRCKPT6cSRI0cglUoxbtw4P1gZnLz66qtIT0/H4sWLmTbFZ4S1KLJYLDz66KN47733YLVamTYnIGGxWJg6dSqMRiPOnDkz5L5EEAmBgqfCeObMGZjNZhQWFpJK00GwWCz45z//ib/+9a8h/RmFtSgCwI033gg+n4+1a9cybUrAwuPxUFRUhKamJtTV1Q24DxFEQqAxXGGsra1FS0sLioqKQmLpI1+xZs0aRERE4Prrr2faFJ8S9qLI5XLxxBNP4NVXX/XZJJdQICIiAjNnzkR5eTkaGhr6bSOCSAhULiWM9fX1qKiowMyZMyGRSBiyMvAxGo149dVX8cQTT4R8i0rYiyIArFixAlKplFSiXoLo6GjMnDkTp0+fRlNTEwAiiITAZzBhbGxsxNmzZzFr1ixERUUxbGVg8/e//x3R0dG45ZZbmDbF5xBRBN2w/sILL+Af//gH1Go10+YENDExMSgqKsLJkyfR0tJCBJEQFFwojM3NzTh16hSKiooQHR3NtHkBjUqlwpo1a/Diiy+GvJcIACyKyWWsAwiKojBr1izMmDGDLEQ8DJRKJUpLS8HlclFSUkIE0cvYbDZs2bIFS5YsIXkuL6LT6bBnzx44HA4UFRUhISGBaZMCnnvuuQdlZWXYt29fSBfYuCCe4jlYLBZeeuklfPDBB2hpaWHanICGoiioVCpwuVw4HA7iXROCBrVaDYqiwOFwoFKp/LpQcTDS2NiI9evX4+WXXw4LQQSIKPajpKQEc+fOxaOPPsq0KQFL3xxiSUkJioqKUFZW5s4xEgiBSmNjI06cOIEZM2agpKTE7wsVByOPPPIIFi5cGLLTawaCiOIFvPjii/jyyy9RUVHBtCkBx0BFNfHx8e4c44VVqQRCoFBXV4fTp09j5syZiI+P9/tCxcHI6dOn8d///jfsChCJKF7ApEmTcMMNN+Dhhx9m2pSAYqgq07i4OMyaNQtnzpxBTU0NucAQAgaKolBdXY3y8nLMmjULsbGx7m1EGIdm9erVWL58OcaPH8+0KX6FiOIA/P3vf8dPP/2ErVu3Mm1KQDCctouYmBjMnj0bNTU1OHnyJJxOJwOWEgjncTgcKCsrQ21tLWbPnj1glSkRxoHZvHkz9uzZg+eee45pU/wOEcUBSEtLw6OPPor7778/7Me/edKHGBUVhZKSEvT29uLAgQOwWCx+tJRAOI/FYsGBAweg0Wgwb968IfsQiTD2x2KxYNWqVXj88ceRkpLCtDl+h4jiIKxevRp2ux3PP/8806Ywxkga88ViMebMmQOBQIDdu3dDo9H4wVIC4TwajQa7d++GSCTCnDlzIBKJLvkaIozneeaZZ8Bms7Fq1SqmTWEEIoqDIBAIsHbtWrz66qtobm5m2hy/M5pJNVwuF9OmTUN6ejr27t2LtrY2H1pKIJyntbUVe/fuRUZGBqZOnQoulzvs1xJhpMfevfnmm3j77bfB5/OZNocRSPP+JVi2bBkoisKmTZuYNsVveHN0W3t7O44dO4YxY8YgJycnbHqdRgtp3vcMiqJQWVmJ2tpaFBYWIjExccTH0ul02L9/P9LS0pCXlxdW39mrr74aQqEQX3/9NdOmMAbxFC/Bm2++iW3btoVN0Y23Z5kmJiZi7ty5aGpqwpEjR2C3271kKYFAY7fbcfjwYTQ3N2Pu3LmjEkQgfD3GzZs3Y+fOnXj99deZNoVRiChegvT0dHfRTahf0H013Fsmk6GkpAQWiwV79+6F0Wj0ynEJBKPRiL1798Jms2HevHmQyWReOW64CaPVasVDDz2Exx9/HKmpqUybwyhEFIeBq+jmb3/7G9Om+Axfr3YhEAjcZfG7d+9Ge3u7V49PCD/a29uxe/duxMTEYNasWV7PgYWTMD755JNgsVhhW1zTl+FnocMYgUCAdevWYcmSJfjlL3+JyZMnM22SV/HX8k9sNhuTJ09GVFQUjh8/jra2NkycODFsE/qEkWG1WnHq1Cl0dHRg4sSJPvVsXMK4f/9+AAjJHOOxY8fw5ptv4ocffiB/iyCFNh5xzz334ODBgzh8+HDILKHC1HqIJpMJJ06cgFqtxpQpU6BQKPxy3mCBFNoMTHt7O06cOIGoqChMnjwZQqHQL+cN1eIbu92OwsJCLFiwAG+++SbT5gQEJHzqAS+++CJ6e3vx1FNPMW2KV2BygWCRSISioiLk5+fj6NGjOHbsWNgPSiAMjtVqxdGjR3H8+HHk5+djxowZfhNEIHRDqY8//jgMBgP+/ve/M21KwEBE0QMiIiKwfv16vPrqqygrK2PanFHBpCC6YLFYSEtLw8KFC2GxWLBz504olUq/20EIbNrb2/HTTz/BZrNhwYIFSEtLY8RTCzVhdIVNP/74Y4jFYqbNCRhI+HQE3Hfffdi3bx+OHDkSlGHUQBDEgWxqamrC6dOnkZiYiIkTJ4Z12JCET/vnDidMmIDU1NSACFuGQijVFTa97LLLwr4F40KIpzgCXnjhBWg0Gjz55JNMm+IxgSiIAO01pqenu73Gn376CR0dHUybRWAIpVIZEN7hQISCx/jYY4/BaDSG5cDvS0E8xRGyZ88eXHHFFdi/fz8KCgqYNmdYBKogXkhfrzEmJgb5+fle6z8LFsLVU9RoNCgvL4dKpXJXlgaKGF5IsHqMR48exdy5c7Ft2zYUFxczbU7AQURxFDz44IPYunUrjh49GvAx+WARxL5YLBZUVVWhoaEBycnJGDduXMB/zt4i3ETRYDCgoqICbW1tyMzMxNixYyEQCJg265IEmzAaDAYUFhbimmuuwSuvvMK0OQEJEcVRYLFYMHPmTEyYMAGffPIJ0+YMSjAKYl+MRiPKy8vR1taGjIwM5OTkBMUFczSEiyhaLBZUVlaisbExaG98gkkYb775ZtTU1GD//v2kJ3EQSE5xFAgEAnz11VfYtGkT1q9fz7Q5AxLsggjQy1FNnToVJSUlMBgM2L59OyorK0N+7F4oY7PZUFFRgW3btsFkMmHevHkoLCwMOkEEgifH+K9//QtbtmzBl19+SQRxCIin6AW++OIL/P73v0dpaSlyc3OZNsdNKAjiQKhUKpw5cwZGoxE5OTnIyMgAmx1a93eh6ik6HA40NDSgqqoKERERyM/PR0xMDNNmeYVA9hjPnDmDWbNm4YMPPsAvf/lLps0JaIgoeom7774bhw4dQmlpaUCE9kJVEF1QFAWlUony8nI4HA6MGzcOycnJISOOoSaKTqcTLS0tqKysBIfDQX5+PhISEgJKOLxBIAqj2WzGtGnTUFJSgrfffptpcwIeIopewmQyYdq0aZg9ezbef/99Rm0JdUHsi6tStbq6Gna7HZmZmcjIyAiIG5PRECqiaLFY0NDQgPr6enC5XOTk5AR0Rak3CDRhvPPOO3HkyBGUlpb6dQpQsEIGgnsJkUiEr7/+GtOnT8eiRYuwfPlyRuwIJ0EEzvc3pqWloaOjA7W1taiqqkJKSgqysrIgl8uZNjEsUavVqKurQ2trK2JiYjBlypSQ9AwHIpCGiH/66af46quvcPToUSKIw4R4il7mo48+wgMPPIADBw4gLy/Pr+cON0EcDK1Wi7q6OrS0tEAulyM9PR1JSUngcoPnHjAYPUW73Y62tjY0NjZCo9EgNTUVmZmZYddj6oJpj/H06dOYM2cO1qxZg9tuu82v5w5miCj6gHvvvRc//PADDh8+jMjISL+ckwjixVitVjQ3N6OxsREmkwmpqalIT08PCu8xmERRo9GgoaEBLS0tEIlEyMjIQEpKCqlwBHPC2NPTg+nTp+Oaa67BG2+84ZdzhgpEFH2AzWbD5ZdfDhaLhW3btvl8PioRxKGhKAq9vb1obGxEa2srpFIpEhMToVAoIJVKAzKkF8iiSFEUdDodlEol2traoNfrkZycjPT0dERFRQXk58kk/hZGh8OByy67DFwuF1u3bg2qCEkgQETRR6hUKkybNg1LlizB2rVrfXYeIoieYbPZ0NbWBqVSia6uLggEAigUCigUCsTExARM9WqgiaLT6YRKpYJSqYRSqYTFYkFcXBwUCgWSkpICwsZAxp/C+Pvf/x7bt2/HkSNHEBUV5bPzhCrkFsJHxMTE4LvvvsPMmTMxadIk/P73v/f6OYggeg6Px0N6ejrS09Nht9vR3d0NpVKJo0ePwuFwICEhAQqFAgkJCWF/obdarejs7IRSqURHRwc4HA4UCgUmTpyIuLi4oFwhhin8VXyzZs0afPHFF/j555+JII4Q4in6mG+//RY33XQTvv/+e5SUlHjtuEQQvQtFUVCr1W5PSKfTISYmBgqFAnFxcX4PszLhKTqdTuj1enR1dUGpVEKlUkEmk7lvFCIjI0lodJT40mPctWsXlixZgq+//hpLlizx2nHDDSKKfuD555/HW2+9hUOHDiE9PX3UxyOC6HuMRqNbIHt6egAAcrkccrkckZGRiIyMREREhM/Crb4WRZcAqtVq90Or1QIAoqOjkZiYiISEhKAcuxbo+EIYGxoaUFRUhIceegh/+tOfvGBl+EJE0Q9QFIVbbrkFp0+fxr59+0ZV/UgE0f+4CkvUajU0Go37XwCQyWRukfSmUHpTFJ1O50X2uwSwr8jL5fKALTwKNbwpjGq1GrNnz0ZBQQE+/fRT8vsbJUQU/YTZbMbixYtht9vx008/jWjiChHEwMEllH1FUq1WA6AHmAsEAgiFwn6Pvs9dqiJwuKJot9thNpthNpthsVjcP/d9zmAwgMViuYWvr4CTCyhzeEMYzWYzFixYAJFIhO+//z7oJzkFAkQU/YhGo8HcuXORnp6OjRs3elSoQAQx8KEoCnq9Hkaj8SJh6vuz0+kEl8t1iySPxwOLxcL/t3fnYU3c+R/A3+GSKwFUgloEXDSUcquAUVyRKkTBQu2plUNZrVuwT+3TuovW9rG6wtp1u+zqA7vWE0pZ3a2iggeUQ6PhbBF0WQ6pog8QrAfBsFzJ9/fHYn5lVRQFBpLP63nm4cnMN5P3+DzmnZlkZng8HvT09MDj8cAYw82bN/HCCy+Ax+NBrVaDMQbGGLq7uzXr6unpgZ6eXp/C/d9CNjU1pQIcoZ6nGFUqFZYsWYKmpiYUFBTo7EUSBhuV4jBramqCWCxGQEAA9u3b91TPoULUHj8vtQdTT0+PpvAelF9PTw/q6uogEomgr6+vKUsejwcDA4M+pfegVMno9CzFqFarERUVBalUCplMBhsbm2FIqhuoFDlQW1sLsViM1atXIz4+vt+xVIi6aaSdp0iG1kCLccOGDThw4ABkMhkcHR2HKaVuGBlnKuuYadOm4cyZM9i1axcSExMfO44KkRDdMJAbFe/cuRPJyck4c+YMFeIQoFLkyIwZM/Dtt98iLi4O33zzzUPLqRAJ0S1PU4ypqanYvHkzjh07Bi8vLw5Saj8qRQ4tXLgQ+/fvR3R0NL799lvNfCpEQnRTf8V45MgRrFmzBocOHUJAQACHKbUbXeaNY2+99RY6OzsRHh4OfX19vPLKK1SIhOiwR10S7ujRo4iMjMSePXvw+uuvc5xQu1EpjgARERFQqVRYvnw5/vSnP8HOzo4KkRAd9vNiPH/+PD788EMkJSXhnXfe4Tqa1qNSHCFWrlyJrq4ufPDBBzh48CAVIiE6js/no7W1FevXr0diYiIiIyO5jqQTqBRHkHfffRc8Hg+RkZEwNDREaGgo15EIIRz55z//iVWrVmHXrl1YtWoV13F0BpXiCLNmzRoYGhpi2bJlSElJwWuvvcZ1JELIMDt8+DCioqKQnJyMiIgIruPoFCrFEWjlypUwMDBAeHg4lEol/acgRIfs27cPsbGx2LNnD32HyAEqxREqPDwcpqamCA8Ph1wux8cff8x1JELIEIuPj8e2bdvw9ddf49VXX+U6jk6iUhzBXnvtNYwbNw6hoaFobm7GF198MWT37yOEcEetVuPDDz/EgQMHBv2G5GRgqBRHOH9/f5w7dw6BgYGQy+U4ePDggO6uQQgZ2Xp6ehAeHo68vDycP38ebm5uXEfSabTbMQp4eHigsLAQMpkMwcHB6Ojo4DoSIWQQtLe3Y/HixSgtLUVhYSEV4ghApThKTJkyBTKZDC0tLZg3bx7u3LnDdSRCyHO4ffs25s2bh7t370Imk8HBwYHrSARUiv2Kj4+Ht7c3+Hw+hEIhwsLCUF1drVl+584drFu3Dk5OTjAxMYGdnR3ef/99tLa29lnPg/vg/XxKT0/vM2bLli2wtbWFn58fampqHplHKBSioKAAfD4fs2fPRm1t7eBvNCFkyFVXV2P27NmwsrJCXl4exo8f/8hxSUlJcHd3h0AggEAggFgsxqlTpzTL//a3v8Hf3x8CgQA8Hg/37t17aB0ODg4Pvf8kJCT0GbNnzx7Y29vDy8sLRUVFg7qtow2VYj8KCgoQExODwsJCZGdno7u7G4GBgVAqlQCAxsZGNDY24g9/+AMuX76MAwcO4PTp04iOjn5oXfv370dTU5NmCgsL0yy7cOECMjMzkZGRgeXLlyM2Nvaxmfh8PrKysuDn5wexWIwzZ84M+nYTQoZOVlYWZs+eDX9/f2RmZvZ79SpbW1skJCSgrKwMpaWlCAgIQGhoKK5cuQLgv4dfJRIJNm7c2O9rfv75533ef9atW6dZ1tDQgB07diA9PR2bNm3CypUrB2dDRytGnlpLSwsDwAoKCh475vDhw8zIyIh1d3dr5gFgR48efexzTpw4wUJDQ1lXVxcrLCxk3t7eT8yiVqtZYmIiMzExYTt37hzQdpCRr6urix07dox1dXVxHYUMoh07djATExO2e/fuZ16HlZUV++qrr/rMy8vLYwDY3bt3Hxpvb2/Pvvzyy8eur7Kyks2cOZPdv3+f1dfXMwcHh2fOpg1oT3EAHhwWHTt2bL9jBAIBDAz6/rA3JiYG48ePh4+PD/bt29fnljBBQUHo6OiAqakpJBIJ4uPjn5iFx+Ph/fffx/Hjx7F161ZERUWhq6vrGbeMEDKUurq6EB4ejvj4eGRmZuK9994b8DpUKhXS09OhVCohFosH9NyEhASMGzcOXl5e+OKLL9DT06NZ5urqCnd3d1hYWMDFxQXbtm0bcDatwnUrjxYqlYoFBwezOXPmPHbMrVu3mJ2dHdu4cWOf+Z9//jmTSqXs+++/ZwkJCWzMmDEsMTHxoefL5XLW2dk54Gy1tbXMycmJicVi1tLSMuDnk5GH9hS1R1NTE/Px8WEvvfQSu3r16oCfX1FRwczMzJi+vj6zsLBgmZmZD43pb09x586dLC8vj126dIklJSUxS0tLtn79+ofG/fTTT6y9vX3A+bQNleJTWrt2LbO3t2c3btx45PLW1lbm4+PDJBLJE9/INm/ezGxtbQc1X2trK1u0aBGzs7NjZWVlg7puMvyoFLVDSUkJmzx5MgsJCWEKheKZ1tHZ2clqa2tZaWkp++1vf8vGjx/Prly50mdMf6X4v/bu3csMDAxYR0fHM+XRdnT49CnExsbi5MmTyMvLg62t7UPL29raIJFIwOfzcfToURgaGva7Pl9fX9y8eROdnZ2DllEgEODEiRN4++23MW/ePCQnJw/augkhA7dr1y7Mnz8fK1asQEZGBvh8/jOtx8jICFOnTsWMGTMQHx8PDw8PJCYmPnMuX19f9PT04Nq1a8+8Dm1GV7TpB2MM69atw9GjR5Gfn48pU6Y8NEahUCAoKAhjxozB8ePHYWxs/MT1lpeXw8rKCmPGjBnUvPr6+vj9738PsViMqKgo5ObmYt++fXRvRkKGkUKhwMqVK5Gbm4u0tDQsWbJkUNevVquf6wN1eXk59PT0IBQKBzGV9qBS7EdMTAzS0tI0n/Kam5sBABYWFjAxMYFCoUBgYCDa29uRmpoKhUIBhUIBALC2toa+vj5OnDgBuVyOWbNmwdjYGNnZ2di+fTs++uijIcsdFhaGS5cu4a233oKXlxfS09MxY8aMIXs9Qsh/FRcXY9myZbCxsUFFRQUmT578XOuLi4vDokWLYGdnh7a2NqSlpSE/P19zKlZzczOam5tRV1cHAKisrASfz4ednR3Gjh0LmUyGoqIizJ8/H3w+HzKZDOvXr8eKFStgZWX13Nurlbg+fjuSAXjktH//fsbY/x/Hf9T0448/MsYYO3XqFPP09GTm5ubMzMyMeXh4sOTkZKZSqYY8f1dXF9uwYQMzNTWl0zZGGfpOcXRRqVSa0y3i4uL6nJL1PFatWsXs7e2ZkZERs7a2Zi+//DI7e/asZvlnn33W73tUWVkZ8/X1ZRYWFszY2Jg5Ozuz7du30/eJ/eAx9rNzA4hWOn36NFasWAGxWIyUlBRYWlpyHYk8QXd3N7KysrB48eInfkdNuHXnzh2Eh4ejuLgYX3/9NQIDA7mORJ4D/dBGB0gkElRUVEChUMDT0xPfffcd15EI0Qpnz56Fl5cX2tvbUVlZSYWoBagUdcSkSZOQm5uL1atXIyQkBGvWrEF7ezvXsQgZlZRKJaKjoxEaGoq1a9ciJycHEyZM4DoWGQRUijpEX18fmzZtQnFxMUpKSuDm5obc3FyuYxEyquTk5MDNzQ3l5eUoLS1FXFwc3eNUi1Ap6iA3NzcUFxcjKioKwcHBePfdd2mvkZAnaG9vx+rVq7FkyRJER0ejqKgILi4uXMcig4xKUUcZGhpi8+bNKCoqQlFREdzd3ZGfn891LEJGpO+++w6urq4oKytDSUkJNm3a9ND1jYl2oFLUce7u7igpKUF4eDgWLVqE1atXP3Q/SEJ0VWtrK6KjoxESEoJVq1ahqKgIrq6uXMciQ4hKkcDQ0BCfffYZCgsLUVlZCScnJ+zZswdqtZrraIRwQq1W469//SucnJxQVVWF4uJifPLJJ3R6jA6gUiQaHh4euHjxIuLj4xEXF4c5c+bghx9+4DoWIcOqrKwMYrEYn3zyCXbs2IELFy7Azc2N61hkmFApkj709PSwcuVK1NbWYvr06RCLxVizZg0dUiVa7969e1i9ejXmzJkDX19f1NbWIiIiAjwej+toZBhRKZJHsrKywu7duyGTyVBRUUGHVInWenCo9MUXX8SVK1dQVFSEP//5z3TlJx1FpUj65eXlhYsXLyIhIQFxcXHw9vbWXIyYkNHuzJkzmDlzZp9DpR4eHlzHIhyiUiRPpKenh6ioKFy9ehUSiQRLly5FQEAASktLuY5GyDMpLi6Gv78/li5diuDgYNTV1dGhUgKASpEMgIWFBX73u9+hrq4OTk5OmDNnDpYuXYra2lquoxHyVKqrqxEaGoq5c+fCxcUF9fX12Lp1KywsLLiORkYIKkUyYBMnTkRSUhKuXLkCAwMDuLu7Y9WqVZr7TRIy0jQ1NSEqKgoeHh4wMTHBv/71L+zevRs2NjZcRyMjDJUieWZTp07F4cOHIZVK0dDQgGnTpmHdunVUjmTEaGpqQkxMDEQiERobGyGTyZCeng5HR0euo5ERikqRPLcZM2YgJycHGRkZqKysxC9+8QvNd5CEcKGurg6RkZFwdHREVVUVTpw4obnNEyH9oVIkgyYgIAD5+fnIy8vDnTt34OLigtdffx2XLl3iOhrREeXl5Vi6dClcXFzQ2tqKgoIC5Obmwt/fn+toZJSgUiSDztfXF8ePH0dZWRmMjY3h4+MDiUQCqVTKdTSipc6dO4egoCD4+vrC3Nwc5eXlOHbsGLy9vbmORkYZKkUyZFxcXJCamorq6mo4Ojpi4cKFmD17NlJTU6FSqbiOR0a5np4epKSkQCwWIygoCCKRCDU1NTh06BCcnZ25jkdGKSpFMuQcHBywe/duXL9+HRKJBB999BHs7e2xceNGyOVyruORUUYulyMuLg4ODg7YsGEDFi9ejIaGBvzlL3+Bvb091/HIKEelSIaNUCjEp59+ihs3buCPf/wjCgoK4ODggLCwMOTk5NAl5MhjqdVqnDlzBqGhoXBwcIBUKsWXX36JhoYGbN68GdbW1lxHJFqCSpEMO0NDQ7z55pu4cOECioqKMGnSJLz66qtwdnbGtm3baO+RaMjlcmzduhXOzs544403YGtri+LiYpw/fx5vvPEG3cqJDDoeY4xxHYKQ+/fvIz09HUlJSaisrMTcuXOxbNkyLF++HKamplzHG3bd3d3IysrC4sWLde6NX6lUIi0tDd988w2kUik8PDywdu1avP322zAzM+M6HtFyVIpkxKmpqUFqaipSUlJw+/ZtLFy4EBEREQgJCYG+vj7X8YaFrpWiSqXC8ePHkZKSguzsbFhbWyMiIgLvvPMOpk2bxnU8okOoFMmIxRhDUVERUlJSkJ6eDkNDQ4SEhCAiIgJ+fn7Q09Peo/+6UIpqtRrnz5/HoUOHkJmZiZ6eHixbtgwrVqyAj48PXZybcIJKkYwK3d3dOHv2LFJSUnDy5Enw+XzMmzcPoaGhCA0N1bpDrNpaikqlEhkZGTh27BjOnTsHpVKp+aCzYMECrdpWMjpRKZJRp7OzE/n5+Th+/DgyMjJw9+5dzJo1C8HBwXjzzTdha2vLdcTnpk2lePPmTfz9739HZmYmCgsLMW7cOM2HmXnz5sHIyIjriIRoUCmSUY0xhoqKCmRkZCAjIwOXLl2Cq6sr5s6diwULFmDBggWj8scZo7kUlUolcnJykJ2dDalUisuXL8PT01NThG5ubnRolIxYVIpEqzQ2NiIrKws5OTnIy8tDa2sr3NzcIBaLNSU5Gg61jqZSfFCCOTk5KCwsREVFBaysrDB//ny8/PLLCA4OxsSJE7mOSchToVIkWosxhpqaGuTn5yM3Nxd5eXlQKBRwc3PDrFmzMGvWLPj5+Y3Iq6CM5FK8fv06pFIpZDIZCgsLUVlZCUtLS8yfPx8BAQHw9/fHtGnTaG+QjEpUikRnMMZQXV2N/Px85Ofno6SkBPX19RAKhXB2doa7uzt8fHzg5+cHBwcHTrOOlFL88ccfIZVKUVxcjIqKClRVVeHWrVtwdHSEt7c3/P394e/vD5FIRCVItAKVItFpCoUCP/zwA8rKylBSUoLS0lJcvXoV48ePh5OTExwdHSESieDi4gJXV1dMmTJlWE4FGc5SVKvVqK+vR2VlJaqqqlBTU4P6+npUVVXh9u3bmDp1KmbOnAlvb29Mnz4dXl5eEAgEQ5qJEK5QKRLyP9ra2lBeXo7y8nJUV1fj3//+N2pqanDz5k0YGxvD3t4ednZ2cHR0xNSpUzF58mTY2dnB3t4eQqFwUEpzMEtRrVZDLpfj+vXruHHjBm7cuIHa2lrU19fj+vXraGhoQEdHB2xtbSESifDiiy/CyckJnp6e8PT0BJ/Pf+7tIWS0oFIk5Cl1dHSgrq4ONTU1qKmpQXV1NWpra9HY2Ai5XI729nYYGRlh3LhxsLa2xvjx4yEUCiEUCiEQCMDn8yEQCDSThYUFBAIBLC0tYWFhAUNDQ+jr60NPTw9qtRqnTp1CYGAg9PX1oVKp0N3djdbWVty7dw8KhQKtra1QKBSaqa2tDQqFAi0tLWhpacGtW7fw008/4fbt2+jq6oKZmRlsbGwwceJEiEQiODk5QSQSQSQSwdHREcbGxlz/ExPCOSpFQgZJW1sbmpqaNFNjYyMaGxvR3NyMtrY2zXT//n3NX6VSiZ6engG9joGBAczMzGBubg4+n6/5KxAIYG5ujgkTJuCFF17AxIkT+0y0x0fIk1EpEsKxzs5OKJVKqFQqqNVqqNVqqFQq8Hg86OnpaSZ9fX2YmZlhzJgxXEcmRGtRKRJCCCG9tPeKyoQQQsgAUSkSQgghvagUCSGEkF5UioQQQkgvKkVCCCGkF5UiIYQQ0otKkRBCCOlFpUgIIYT0olIkhBBCelEpEkIIIb2oFAkhhJBeVIqEDJH4+Hh4e3uDz+dDKBQiLCwM1dXVmuXXrl0Dj8d75HTkyBHNuIaGBgQHB8PU1BRCoRAff/zxQ3fW2LJlC2xtbeHn54eampph20ZCtA2VIiFDpKCgADExMSgsLER2dja6u7sRGBgIpVIJAJg8eXKfW001NTVhy5YtMDc3x6JFiwAAKpUKwcHB6OrqwsWLF3Hw4EEcOHAAn376qeZ1Lly4gMzMTGRkZGD58uWIjY3lZHsJ0QZ0lwxChsmtW7cgFApRUFCAX/7yl48c4+XlhenTp2Pv3r0AgFOnTiEkJASNjY2wsbEBACQnJ+M3v/kNbt26BSMjI5w8eRJfffUVjhw5gu+//x7r1q1DcXHxsG0XIdqE9hQJGSatra0AgLFjxz5yeVlZGcrLyxEdHa2ZJ5PJ4ObmpilEAAgKCoJCocCVK1c0jzs6OmBqagqJRIL4+Pgh3ApCtJsB1wEI0QVqtRoffPAB5syZA1dX10eO2bt3L5ydnTF79mzNvObm5j6FCEDzuLm5GQBgaGiI06dPo6WlBZaWljAyMhqirSBE+1EpEjIMYmJicPnyZUil0kcu/89//oO0tDRs3rz5mV9DKBQ+83MJIf9Fh08JGWKxsbE4efIk8vLyYGtr+8gx//jHP9De3o6IiIg+8ydMmAC5XN5n3oPHEyZMGJrAhOgwKkVChghjDLGxsTh69Chyc3MxZcqUx47du3cvXnnlFVhbW/eZLxaLUVlZiZaWFs287OxsCAQCvPTSS0OWnRBdRb8+JWSIvPfee0hLS0NGRgacnJw08y0sLGBiYqJ5XFdXB5FIhKysLEgkkj7rUKlU8PT0xKRJk7Bjxw40NzcjPDwcv/rVr7B9+/Zh2xZCdAWVIiFDhMfjPXL+/v37ERUVpXm8ceNGpKam4tq1a9DTe/jgzfXr1/HrX/8a+fn5MDMzQ2RkJBISEmBgQD8JIGSwUSkSQgghveg7RUIIIaQXlSIhhBDSi0qREEII6UWlSAghhPSiUiSEEEJ6USkSQgghvagUCSGEkF5UioQQQkgvKkVCCCGkF5UiIYQQ0otKkRBCCOlFpUgIIYT0+j8SWxI+T2CMaAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_hues(rms, rmse, p1, p2, polar=True, plot_spans=True, configuration=configuration)" ] }, { "cell_type": "markdown", "id": "405fced1-fb57-4d37-9dcf-6540fd3fc20e", "metadata": {}, "source": [ "## Lags and coherence\n", "\n", "With the cross spectrum we can explore the time lags versus frequency" ] }, { "cell_type": "code", "execution_count": 31, "id": "c4eda41b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2729it [00:00, 6000.14it/s]\n" ] } ], "source": [ "# Use shorter segments, rebin a little more heavily\n", "cs = AveragedCrossspectrum.from_events(events_sub, events_ref, segment_size=2, dt=0.005, norm=norm)\n", "cs_reb = cs.rebin_log(0.4)\n", "\n", "lag, lag_e = cs_reb.time_lag()" ] }, { "cell_type": "code", "execution_count": 32, "id": "45ba99f4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(cs_reb.freq, lag, yerr=lag_e, fmt=\"o\", color=\"k\", alpha=0.5)\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\n", " f\"Time lag ({ref_band[0]:g}-{ref_band[1]:g} keV vs {sub_band[0]:g}-{sub_band[1]:g} keV, in seconds)\"\n", ")\n", "plt.axhline(0, ls=\"--\")\n", "plt.semilogx()\n" ] }, { "cell_type": "markdown", "id": "f1a2e785-7cf7-4807-9792-88a5579a7e4c", "metadata": {}, "source": [ "Another interesting thing to measure is the coherence at different frequencies" ] }, { "cell_type": "code", "execution_count": 33, "id": "a64e196a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coh, coh_e = cs_reb.coherence()\n", "plt.figure()\n", "plt.errorbar(cs_reb.freq, coh, yerr=coh_e, fmt=\"o\", color=\"k\", alpha=0.5)\n", "plt.xlabel(\"Frequency (Hz)\")\n", "plt.ylabel(\n", " f\"Coherence ({sub_band[0]:g}-{sub_band[1]:g} keV vs {ref_band[0]:g}-{ref_band[1]:g} keV)\"\n", ")\n", "plt.axhline(0, ls=\"--\")\n", "plt.loglog()\n" ] }, { "cell_type": "markdown", "id": "904811f2", "metadata": { "id": "904811f2" }, "source": [ "# Spectral timing" ] }, { "cell_type": "markdown", "id": "965a7273", "metadata": { "id": "965a7273" }, "source": [ "Now let us explore the spectral timing properties of this observation, with no physical interpretation, just for the sake of data exploration." ] }, { "cell_type": "code", "execution_count": 34, "id": "302ef79e", "metadata": { "id": "302ef79e" }, "outputs": [], "source": [ "from stingray.varenergyspectrum import CountSpectrum, CovarianceSpectrum, RmsSpectrum, LagSpectrum" ] }, { "cell_type": "markdown", "id": "b53713b3", "metadata": { "id": "b53713b3" }, "source": [ "Let us start with the lag spectrum with respect to energy, in different frequency bands.\n", "This might be confusing for people coming from other wavelengths, so let us specify that\n", "\n", "+ \"frequency\" refers to the frequency of the variability.\n", "\n", "+ \"energy\" refers to the photon energy.\n", "\n", "The photons at 0.3-12 keV are modulated by oscillations and other stochastic noise up to ~100 Hz (see section above). As an example, we will now analyze the spectral timing properties using the variability up to 1 Hz and between 4 and 10 Hz." ] }, { "cell_type": "markdown", "id": "0c530beb", "metadata": {}, "source": [ "From [Kara et al. 2019](https://www.nature.com/articles/s41586-018-0803-x), figure 3" ] }, { "cell_type": "code", "execution_count": 35, "id": "5eca6d3c", "metadata": { "id": "5eca6d3c", "outputId": "07a6c11a-34fb-4893-bf7c-a51b2299da14" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:36<00:00, 1.08it/s]\n" ] } ], "source": [ "energy_spec = np.geomspace(0.5, 10, 41)\n", "segment_size = 10\n", "bin_time = 0.001\n", "freq_interval = [3, 30]\n", "ref_band = [0.5, 10]\n", "\n", "# If not specified, the reference energy band is the whole band.\n", "\n", "lagspec_3_30 = LagSpectrum(\n", " events,\n", " freq_interval=freq_interval,\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " ref_band=ref_band,\n", ")\n", "energies = lagspec_3_30.energy" ] }, { "cell_type": "code", "execution_count": 36, "id": "23efaaa4", "metadata": { "id": "23efaaa4", "outputId": "ceb9952c-6ea2-4093-eb07-9bdde6492601" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " lagspec_3_30.spectrum * 1e4,\n", " yerr=lagspec_3_30.spectrum_error * 1e4,\n", " fmt=\"o\",\n", " label=\"3-30 Hz\",\n", " color=\"k\",\n", ")\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Time Lag ($10^{-4}$ s)\")\n", "plt.xlim([0.5, 10])\n", "plt.semilogx()" ] }, { "cell_type": "code", "execution_count": 37, "id": "30e4fea7", "metadata": { "id": "30e4fea7", "outputId": "c7722841-f708-42a7-fef9-06e94b3eb031" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:37<00:00, 1.06it/s]\n" ] } ], "source": [ "lagspec_01_1 = LagSpectrum(\n", " events,\n", " freq_interval=[0.1, 1],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " ref_band=ref_band,\n", ")\n", "energies = lagspec_01_1.energy\n", "energies_err = np.diff(lagspec_01_1.energy_intervals, axis=1).flatten() / 2" ] }, { "cell_type": "code", "execution_count": 38, "id": "e36acc05", "metadata": { "id": "e36acc05", "outputId": "143c4c06-c8f2-4f82-8871-3da7415c6017" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Time lag (s)')" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " lagspec_01_1.spectrum,\n", " xerr=energies_err,\n", " yerr=lagspec_01_1.spectrum_error,\n", " fmt=\"o\",\n", " label=\"0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " lagspec_3_30.spectrum,\n", " xerr=energies_err,\n", " yerr=lagspec_3_30.spectrum_error,\n", " fmt=\"o\",\n", " label=\"3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.legend()\n", "plt.semilogx()\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Time lag (s)\")" ] }, { "cell_type": "code", "execution_count": 39, "id": "5d13b5e2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Phase lag (rad)')" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freq_01_1 = (1 + 0.1) / 2 * 2 * np.pi\n", "freq_3_30 = (3 + 30) / 2 * 2 * np.pi\n", "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " lagspec_01_1.spectrum * freq_01_1,\n", " xerr=energies_err,\n", " yerr=lagspec_01_1.spectrum_error * freq_01_1,\n", " fmt=\"o\",\n", " label=\"0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " lagspec_3_30.spectrum * freq_3_30,\n", " xerr=energies_err,\n", " yerr=lagspec_3_30.spectrum_error * freq_3_30,\n", " fmt=\"o\",\n", " label=\"3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.legend()\n", "plt.semilogx()\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Phase lag (rad)\")" ] }, { "cell_type": "markdown", "id": "ab201dc2", "metadata": { "id": "ab201dc2" }, "source": [ "Interesting: the low-frequency variability has much longer time lags than the high-frequency variability, but the phase lags are on the same order of magnitude." ] }, { "cell_type": "markdown", "id": "9e85f891", "metadata": { "id": "9e85f891" }, "source": [ "## Covariance and RMS spectrum" ] }, { "cell_type": "code", "execution_count": 40, "id": "11a45edb", "metadata": { "id": "11a45edb", "outputId": "d95b650d-03df-4e73-bafe-7813b0729935" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:35<00:00, 1.13it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:35<00:00, 1.14it/s]\n" ] } ], "source": [ "covspec_3_30 = CovarianceSpectrum(\n", " events,\n", " freq_interval=[3, 30],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"abs\",\n", " ref_band=ref_band,\n", ")\n", "covspec_01_1 = CovarianceSpectrum(\n", " events,\n", " freq_interval=[0.1, 1],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"abs\",\n", " ref_band=ref_band,\n", ")" ] }, { "cell_type": "code", "execution_count": 41, "id": "a1d4d363", "metadata": { "id": "a1d4d363", "outputId": "121ac01c-9046-44c6-9351-588a10cc3dc8" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " covspec_3_30.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_3_30.spectrum_error,\n", " fmt=\"o\",\n", " label=\"3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " covspec_01_1.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_01_1.spectrum_error,\n", " fmt=\"o\",\n", " label=\"0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.legend()\n", "plt.semilogx()\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Absolute Covariance (counts / s)\");" ] }, { "cell_type": "markdown", "id": "b302af8b", "metadata": { "id": "b302af8b" }, "source": [ "This covariance, plotted this way, mostly tracks the number of counts in each energy bin. To get an unfolded covariance, we need to use the response of the instrument. Another way is to plot the fractional covariance, normalizing by the number of counts in each bin." ] }, { "cell_type": "markdown", "id": "d138219a", "metadata": { "id": "d138219a" }, "source": [ "To do this, we calculate the Count Spectrum and divide by it." ] }, { "cell_type": "code", "execution_count": 42, "id": "fe618f01", "metadata": { "id": "fe618f01", "outputId": "10552705-f6a2-4189-c5c1-215971fde843" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "40it [00:06, 6.00it/s]\n" ] } ], "source": [ "countsp = CountSpectrum(events, energy_spec=energy_spec)" ] }, { "cell_type": "code", "execution_count": 43, "id": "104dc4d9", "metadata": { "id": "104dc4d9", "outputId": "2fed28f3-64ed-40e3-d9b7-ebdcea7bbf7a" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " covspec_3_30.spectrum / countsp.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_3_30.spectrum_error / countsp.spectrum,\n", " fmt=\"o\",\n", " label=\"3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " covspec_01_1.spectrum / countsp.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_01_1.spectrum_error / countsp.spectrum,\n", " fmt=\"o\",\n", " label=\"0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.legend()\n", "plt.semilogx()\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Normalized Covariance (1 / s)\");" ] }, { "cell_type": "markdown", "id": "40de3c8c", "metadata": { "id": "40de3c8c" }, "source": [ "Alternatively, we can calculate the Covariance Spectrum in fractional rms normalization" ] }, { "cell_type": "code", "execution_count": 44, "id": "ac4fc20b", "metadata": { "id": "ac4fc20b", "outputId": "1d04917c-d24a-4988-9d89-4f47ef86c3c3" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:40<00:00, 1.01s/it]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:38<00:00, 1.03it/s]\n" ] } ], "source": [ "covspec_01_1 = CovarianceSpectrum(\n", " events,\n", " freq_interval=[0.1, 1],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"frac\",\n", ")\n", "covspec_3_30 = CovarianceSpectrum(\n", " events,\n", " freq_interval=[3, 30],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"frac\",\n", ")" ] }, { "cell_type": "code", "execution_count": 45, "id": "5615406c", "metadata": { "id": "5615406c", "outputId": "c74ddc36-c90c-4d32-d6d7-72820d5d2634" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " covspec_01_1.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_01_1.spectrum_error,\n", " fmt=\"o\",\n", " label=\"0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " covspec_3_30.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_3_30.spectrum_error,\n", " fmt=\"o\",\n", " label=\"3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.legend()\n", "plt.semilogx()\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Fractional Covariance\");" ] }, { "cell_type": "markdown", "id": "5e8e484f", "metadata": { "id": "5e8e484f" }, "source": [ "This should largely be equivalent to the RMS spectrum" ] }, { "cell_type": "code", "execution_count": 46, "id": "c85620f9", "metadata": { "id": "c85620f9", "outputId": "f24abf3e-fc16-4b0a-91cd-9c3fa5e61be2" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:09<00:00, 4.21it/s]\n", "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:09<00:00, 4.33it/s]\n" ] } ], "source": [ "rmsspec_01_1 = RmsSpectrum(\n", " events,\n", " freq_interval=[0.1, 1],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"frac\",\n", ")\n", "rmsspec_3_30 = RmsSpectrum(\n", " events,\n", " freq_interval=[3, 30],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"frac\",\n", ")" ] }, { "cell_type": "code", "execution_count": 47, "id": "658f5d53", "metadata": { "id": "658f5d53", "outputId": "db261231-2c52-4840-ee73-1d17f8641d7c" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.errorbar(\n", " energies,\n", " covspec_3_30.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_3_30.spectrum_error,\n", " fmt=\"o\",\n", " label=\"Cov. 3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " covspec_01_1.spectrum,\n", " xerr=energies_err,\n", " yerr=covspec_01_1.spectrum_error,\n", " fmt=\"o\",\n", " label=\"Cov. 0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " rmsspec_3_30.spectrum,\n", " xerr=energies_err,\n", " yerr=rmsspec_3_30.spectrum_error,\n", " fmt=\"o\",\n", " label=\"RMS 3-30 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.errorbar(\n", " energies,\n", " rmsspec_01_1.spectrum,\n", " xerr=energies_err,\n", " yerr=rmsspec_01_1.spectrum_error,\n", " fmt=\"o\",\n", " label=\"RMS 0.1-1 Hz\",\n", " alpha=0.5,\n", ")\n", "plt.legend()\n", "plt.semilogx()\n", "plt.xlabel(\"Energy (keV)\")\n", "plt.ylabel(\"Fractional RMS\");" ] }, { "cell_type": "markdown", "id": "e3f96dbf", "metadata": { "id": "e3f96dbf" }, "source": [ "QED, except that the error bars in some points look underestimated. It is always recommended to test error bars with simulations, in any case, as analytic formulas are based on a series of assumptions (in particular, on the coherence) that might not be correct in real life." ] }, { "cell_type": "code", "execution_count": 48, "id": "fa853e69", "metadata": { "id": "fa853e69" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 40/40 [00:36<00:00, 1.08it/s]\n" ] } ], "source": [ "from stingray.varenergyspectrum import LagSpectrum\n", "\n", "covspec_3_30 = CovarianceSpectrum(\n", " events,\n", " freq_interval=[3, 30],\n", " segment_size=segment_size,\n", " bin_time=bin_time,\n", " energy_spec=energy_spec,\n", " norm=\"frac\",\n", ")" ] }, { "cell_type": "code", "execution_count": 49, "id": "1842eadc", "metadata": {}, "outputs": [], "source": [ "def variable_for_value(value):\n", " for n, v in globals().items():\n", " if id(v) == id(value):\n", " return n\n", " return None\n", "\n", "\n", "for func in [lagspec_3_30, lagspec_01_1, covspec_01_1, covspec_3_30]:\n", " name = variable_for_value(func)\n", " func.write(name + \".csv\", fmt=\"ascii\")" ] }, { "cell_type": "code", "execution_count": null, "id": "61dc1445", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "X-ray Variability of an accreting BH with Fourier methods.ipynb", "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }