{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# What is the Periodogram class?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*lightkurve* has a class specifically for dealing with periodograms of time series data. This can be useful for finding the periods of variable stars. Below is a quick example of how to find the period of an eclipsing binary star using *lightkurve*.\n", "\n", "Firstly lets grab a light curve file from mast. We'll use KIC 10030943, which is an eclipsing binary observed by the original Kepler mission. We're just going to use one quarter for this demo." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import astropy.units as u # We'll need this later." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Obtain the data\n", "from lightkurve import search_lightcurvefile\n", "lc = search_lightcurvefile('10264202', quarter=10).download().PDCSAP_FLUX.remove_nans()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the light curve to see what we're working with." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This light curve looks like it has some structure in it! Let's use the periodogram class to find the rotation period. You can create a periodogram from the `KeplerLightCurve` object by using the `periodogram` method." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "pg = lc.to_periodogram()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the periodogram in the same way that we plot the original light curve." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks like there is a huge signal at a certain frequency! Let's plot it in period space, so that we can see what period the oscillation is occuring at." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg.plot(format='period', scale='log');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks like a very fast period. Let's find the period with the highest power and fold out light curve." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best period: 0.2587311606278735 d\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "period = pg.period_at_max_power\n", "print('Best period: {}'.format(period))\n", "lc.fold(period.value).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As is quite common for eclisping binaries with deep secondary eclipses, we have found a harmonic of the period of the eclipsing binary. Let's plot it again with quadruple the period." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best period: 1.034924642511494 d\n" ] }, { "data": { "image/png": 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paGhAZ2cnDh8+LN79hoYGhEIhERfPMAyTSNhQZ+Ytky1LHq3MOzP9yKXm5eI7dO1lozYUCqGjowO1tbWora1FRUWFSPDUhq3s2LEjoqCP1WoVHwN63m8KySgpKVH9pl1XTvzUI9pvtDw/Pz/mNSFjNxQKoaamRncd8lSnpaUhJydHxHfLBZK0+ywtLcXixYtVy/WMabfbjcLCQhiNRhQUFKC0tDSmsR4Oh9HQ0BBVXz4WsmEebwjOggULdENqZOgajIyMoKmpKWLfFosFjY2Nwiin5ywlJSXud3+y/QrDMMzFwDrqzLxFTzM7Fk6nk5PHZgFtISDy5E4krSfra8vFgbSEw2EYjUZkZmbC6/WqVFkMBgOWLVsmlhUUFGDFihViv7ESIQ0GA0wmE6677jo0NzdHJGNqdcrJSBweHsaOHTtU4S/adbQKLYsXL8b58+ejepdHR0dV50VFlLRJpkajETt37sSyZctU0o50/PT0dAwPD8NsNuPkyZNoaGgQWvLyR5TeeckfFvR3PAY7yTrKbYk1y2Cz2dDd3Y2lS5eira0tpsd+IqUbiomn60RhMxaLRaUWE0u3f7L9CsMwzMXAHnVm3sIe8uSkqqpKJHW63W7hKT958iRuueUWlJeXw2QyRWz37LPPorOzE9XV1RMahJmZmcjNzY3wwIbDYVx11VUiZKSxsVGE2VRXV0cYgampqSI0g7z2zc3NSE9Pj9kGPS/x8PBwTMNbpru7W1WlVBvaord/ChPS7jccDkdISALjHynFxcUwGAwYHh7G4cOHRQhSTU2NbgEk+bjhcFgVQjOdCjLyde/q6kIoFEJTU9Okw2poP0Rzc7O4Fp2dneJ8cnNzAYxLde7atQtWqxVVVVUicVn2nnO/wjDMbMLyjFOE5RkZZmpEk7+7+eabJyVfKHtwDQaD0BU3mUzCSxytAJGsT07yiXqkpaVhZGQkprSizWZDf3//pI1Iu90u9M/1PhAAtQGv1QwHLhQnSk9Pj/BSa5FlJvW82vI+tUa3oiiin4tHGlJRFOTm5qKmpiZCd13vWqalpeGGG27Q/aCYCjRbQEWY3n77bTQ1NYn7qYV027XPglYykvTs9bT22bvOzCX42U0sLM/IMEzSEC2m9+233xYedGA8TlhGToI0Go0RSjyyMRkOh9HV1YWSkhKsW7dOeIn1IM+41+uNaaQDF2LC09PTo8Zr+/1+ZGdn6yY7Kooi4r61tLW1AYj0pqelpYmiRXRMg8EAt9sdEeeemZmJgoICBINBLF26FDabLeI6UaJsbm4uSktLoSgKAoFAVKNea6SbzWbk5ubC7/ejq6tLdxtqI3mwLRaLmPnIyspS3ceCgoKIbS+//HK88sorqoTWaBiNRhQWFqruhzZhNjU1VXyI7Nq1S1xrup+pqani3lAIk/ZZoFAn+rCgmQY54VybgF5eXq56pvXgGHcmGWDxhLkDG+oXyWOPPQa326367xe/+EWim8UwSYN2QKC/m5qahIHk8XhUXgVSFCkpKYHNZkN+fj76+voiDDSZcDiMPXv2oLq6ekqFhWRk1RODwYB169YhKytLlTBqNBphNBoxNDSEzs5OlRFIRqPFYsGKFStE3LcMGcuyoa6VNiTPejgcxsmTJ1VJphQ6RPH6zc3NAICOjg7VeZhMJoRCITQ2NgIYl3gkmUaz2RwzQRYAsrOz0djYKJJxyVDWbkfKOOFwWOV1d7vdKCkpgaIoEdeBDOb+/n6sWrUq5owAUVJSghUrVoj7Qbrw8gfGyMiI2FcoFIqQoly0aBHcbjcaGhp0nxWaqRgeHkZ6errIpZCTcknLX1EU+P1+eDweHD58WPVMy8gJ1GwgMYmGQ7jmDhz6MkU49IVh4kOeYgUgqkouXbpUFepASYP5+fmoqKjA/fffj6amJtjtdvT19QnJxJSUFN1Y71iJoFoKCwt1vempqakYGxvDsmXL0NzcLIrwWCwWUQWVklkpxEYLVc+sqqqC1WoV52g2mxEMBpGTk4O+vj7VbzIUbkGhMXrGq9lsxrp169DY2Air1YqWlhbRHtkrnZubK2QGqU3aKqzysvT0dAAQHn06TkNDA4LBoAglcTqdyMvLE21LTU2FxWLB0NCQ6kOjsLBQJOtqk1nlc9FeR/oIoBAmag8lCQPqiqQThf3Y7faIa6133GghTmVlZTh58mTEMyMnr2r3J1eoBaCqdGuxWLgqKsNcwnDoC8MwSYPT6RSKGiSTCCAi1KGzsxOhUAiHDx9GXl6eMKyamppEldBwOKwy0skjW1ZWhuzsbNVxZW10mcLCQlRUVKCsrCwiSXPbtm1CFUY22Mhz2t/fL7ymw8PDEd59MtLpnFtaWsRvxcXFOHbsGF555RUcOnQIfX19AC5IRJJxSsft6+uD2+2GoigRx8nOzhYa4B0dHTh27BiKi4ths9lUCbrkCaeBwO/3Q1EUpKenw+v1orKyUnjWSktLkZ2djeHhYeGdlr3p2dnZqK2tFbHZPp9PtGd0dBQWiwULFiwQ51RWVoaKigrxIRDNkB4eHo7QgM/OzkZxcbF4Puiekx66nMRKuvB0jeRrSfT19UUs0/vIWrZsmW4bn332Wd0PO/lZ1HrtQ6GQymvucrlgNpvh8/ngcDgAICIEhsMRGIbRwoY6w8wQHIuqZs+ePcIIDQaDyMvLQzAYFHHNdrtdFQ8sG6cUgqA16EZHR4XB6ff7xXKbzYa6ujpdeUEAWLlyJXbs2BEhgbhnz54IOUeKZfd6vRgeHo5QPqEPgsLCQrjdblRWVoriS/n5+SLERItsINfW1gpDu6CgQExJO51OuN1uZGVliZjqyUxXu1wu8YFBH0kWi0WlqkMfFU6nU7QpPz9fhHQ4HA4xk5CXl4e8vDwh3UjnpigKXC4X3G63OCfyCLtcrogPJm3IjVzxldr77LPPimuuR2Fhofi37NV2u90oLi5W7d/hcOgqCdExiba2NpSVlUXcr1iSj0RKSorqmTWbzXC5XKIfAMaf+3A4jOrqahECU1lZibVr1+Lmm2+G1WrlcASGYVRw6MsU4dAXZiJoqttms6k0mmMxX6e+PR4PduzYIf5WFEV4WGVDSS7cow1D0FM9iUZhYSEaGhrE/iicZCKdbe0xCwsLcfjw4QiDn8ItALX+O91zaq/FYhEhH/E8B3r3P9pzpF032npymygcA0DU54z2q2233rnF+5xSZVht+IysjU9qKuRVjoXBYEBpaak4j66uLnGPCgsL0djYqAq10erny5rz2rCYaGFRem3QPhfycw2Mh8xUVlaKqqhyuBc996TEI28zn959hmEi4dAXhpkket5v7bLpqnTq8XiEZ5J0mun/8zXRTD4f8jyT95QMKjmxkpJJbTab0DwfGhoS8cmxKmba7XY0NDSo9ke67bGMdEpKpHZR6AZJOQLjoTY2mw3FxcUivEQ2qsiDTUZYZ2cnfD6f8DjrIT9XeqEP0Z4j2RMeaz25TRQzrd1WRjaU5f3J+3G73VG3l8+LnnMAYtbAYrHg5MmTwst86NAhrFixIqK98kyLzWZT3fNwOIxdu3aJ7eWQlerq6ohQG62WvPwhoI1dP3z4sOpv7SyOvE8tVN2V2LFjh2hHMBgUib6k4mOxWCL2I9/7ifognrVjZgt+1hIHe9SnSLJ61OeTR3Y2z0XPG6ldNhUPOUEeRYIGb/L00v8n66lMZmRvKSU0apMbnU6nrn46JZbm5OToJlySbrrD4VB5vCn+fO3atXFpk5PxFw6Ho3qs5fZrq6fqPaN6FVRjPTPyc0Ue5UTe/6m+d9E8/AAi3iF63ifzbpWXl6OmpgY5OTloaWnR3T5eYuniA/rJp/Hss6CgQCT4areXK8ECEB72lpYW5Ofni6Rb+brTc2w2m1FcXCwq+k5Hn8QwkyFZnrVYfe5cGjfZo34Jo/XITfdX8Ex+VWv3PZuJVXreSO2yqchZyZJs5DX2+Xwirjc/P1/EBNtsNlEhcT5A94+qXFosFpGY6PV6xX3V09WmxNJoxpLBYBCa3rLHu6GhAXl5ecIYkhNKR0dHI8JmSktLUVpaqntf5fZTgqZ2ENB7RmlZY2OjkJeM9czIz1UsT/dsMdU2aK+F7IHXvkP0vE/0bsle+RUrVohk3JycHACA1WpVbU8x/BRjrs0PMBqNUBRFGOlyIq/ZbBYfbn19fWImJ14o9ryzs1NIZWp/lz8evV6vSqJ0z549Is+C+g1af3h4GJWVleKjPtZ1Y88nMxNMZfybCWL1ufNtJppgj/oUmSse9en+Cp7Jr2rtvmf6K3my+48mM+h2uyP+1pNkAy7Eo8rXT8/bnmivxXQge0D7+vqEZ5rilGXvOskfamcY9DyfsgwexVzT9ZOrfMrx2PR7bm4ujhw5gkAggIKCAlRUVKj2rb3HWg+mlvni3ZkOZuK89bzyAHDLLbeI5yQ/Px81NTVC1lN+n/TeTWA8aZjUZqj/9nq9MJvNCAQCSE9Px7p16yLyE6JVMJ1OSIJSq5JjNpuRnZ0dcX0n6vO1v1+qzyczd4j1jF5sn5ssz/9kbEg21KdIshjqEz10F/v7xa4/GciwowF3qseOd714PjrkfdFXuzapUe9vCl8BEDFIykajNultPoW+yGEO+fn5wuihGGcygoELoQhkKEUrQkOG9549e3SNbdL2pmTDyXbas/2xyMRGa3TTPZD7CgovMhqNOHbsWMx7CECEJcnGtjbxl5bJH37AhdCq8vJylREvf1gC+vHrBCW2trW1qT4q5RyKaNryeob6RM9stBA+rc47w0yV6bYzLtYhGOt4yRLCw4b6LEAX+corr4yQHtuwYQM2bNgwK+242Iduou2n+wW8mLbEe66xCovEE3cc7ZgulwuVlZXCK05FY+TBnDznslc8mpdWNk61CiLzwUD0eDziXMmQAS4YRXJMcWpqKkKhkG4RIYrtldVC9I5F95XUQ6YyIMyH636pof3A1/5N91g2ouXnEVAXujp79mzUpGOtcSs/L+Sll9FTGSJFItljbrPZVB8J8nZaJRmtco92pmqiPAr5vUyWvAhmbjNdYzdxsf1wrOMlSx8/GUM95amnnnpqdpo1vxgZGYHH48GLL76Ir3/968I437BhA2688cZZa4fJZEJraytcLhfsdvu0b19SUoLOzk60trZi06ZNMX83mUwoKSmByWRS7cvj8egun2xbzpw5g/b2dqxevRrr16+P2K/H48HWrVsxODgoHvze3l7R9vLycuzduxcDAwNob2/H8PAwFi5ciOXLl0dtn8lkwqlTpzAyMoKbb74ZZ86cwcDAgDAex8bGxOCcmpqKyy67DCtXrkRPTw8GBwexf/9+HD16FP39/airq8OJEycwMjKiCukYHR1Fenq6aoCd6LrPBex2Oz7++GO0t7cjJycHgUAABoNBXLOxsTGxbkpKCsbGxjA2NiYqUQIXZPhaWlpU91ILXa+enh6kpaVh+fLlcb0P2mfObrdj06ZNU3qXmMSwfv16FBUViT5h3759CIVCGBwcxKZNm2AymVBfX6/yfufn5+MPf/iDeN6ogFJvby/C4XBUj3g4HEZdXR3q6urw0ksvYfny5di+fTuamprw3nvvqdY1GAwwmUwiiZk+DM6dOxdRHGnNmjVoa2tTqRRRW00mk2r9cDiM1tZWfPjhh+js7ER7eztMJhMGBwcRCARQV1eHTz75BP/3f/+HkpIS0UZ6ppuamtDY2AiDwYBQKITjx4+jt7cX9fX1WLhwIT/7zIRox96Jxu6Jftfu72L74VjHo303NTXFZZfMFGRD3nXXXUhLS4u5LnvUp0giQ18mG791MceYyEOpFxoSrXT2RDrQE7Vd692OpoAAQNdTRHGtwAWtZVmZQy6rrje1TAO8NlxFCyWhUVv09MABRGwvzwCcPHkShw8fRnp6OoqLi+ecp0tPi1u+ZwAivJqE9t4B+vH/MuRFJY98oqc1mcQQLaxDL+RM7nfkUCoAIizGbDZj3bp1wmOt9ZhHU52ZSFVG+7vWo07Y7XZViEysfcQ6lqw5T8eRZ/SCweCE6kTM3GImPcfTHZqSiHCURIfAsOrLPIcM4srKyhkrQU37ofCQeHD9uQIhlc4m9QGqbOiSqvTRwEnnoW27vB7922q1wmg0wuFwoKqqSlevn+GhAAAgAElEQVQBgRQcSD2B1Cs8Hg9MJpPQZaaBurGxURiLVBFz586dorKkx+PB+fPnAYx7uaiITjAYjKiuSHR2dsJqtQpPmsFgUIVH+Xw+0b7U1FShAEPb7tq1Cw0NDUIl4mLv5WxDU+vajyZSrSD0jHS6n7LySFVVlVCNoXupfe7pPppMpqRQJmASg+vPyhTa2Gun0yl07xsbG1V9pNPpRF1dHY4fP46KigpUVFSIj+3s7GxUVFTAYrEImUSj0Si03alP8/v94h232+0oLS2Foii6ev9paWnCcCYcDgeAyPoAfX19USuq6iVZR1uvsrJS9K/A+DuZnp4OAGImlGoayH1urLoSTHIzXbaAHvSeTbWf1bZNu7/pqBcw0TYXew6zCYe+TJHJTFtMNzStMzIygt7eXpw6dQoHDx6EyWTC8uXLxZRPrKmdicJRtMeIJ/Rl+/btWLhwoTg+vYzt7e3YsmULnE6nWP/UqVPw+XwAgLGxMfzHf/wHrrrqKqSkpKi2PXXqFH75y1/C5/Oht7cXoVAI586dQ2ZmJvx+P3JyctDQ0ACTyQSn04nNmzfjzTffVLX5/vvvx89+9jOMjo5CURT88Y9/hM/nQ319Pa666ir09PREnBdNIdfV1akMyvT0dFFIx2Kx4MiRI7BarTh69Khq+56eHtUHgBb6japl+v1+jI2NIRQKIRwOi6lus9mMhx56aE5NR5eUlMDn88FoNKK4uBjLly9HVVUVBgcHVfG6RqNR5RWMltymncbUCwuidYqKilTT/MylRTxT5vGEC2rXob8feughrFmzBg0NDSIhtb6+XpXAXF5eDrvdjoyMDJw6dQoGgwEWiwUGg0E8/7/+9a9Vx2traxPvvNFoFO/E1Vdfjfvuuw+tra1Ys2YNzp07F/W8SMFGG1YDjPexwWAQo6OjMBgMeOihh7Bq1SrxzjidThw8eFD0mxRWc/ToUbz22ms4e/Ys9u3bB5/PN6fD8aZKvOGbid6nzMWGxcZiovcsXvvC4XBg9+7dCIfD6OrqEiGL2j4+3lBQ+biyDbF3717s3bsXGRkZqhCwDz/8MO4wyelmXoS++P1+vP7662hra0NbWxu8Xi/uvffeuDuIoaEh7N+/H3V1dfD5fFi6dCmcTiduvfXWi1pXbl8iVV/IIx0MBoVKRrTS4XLIBoWy0PSnNuFSm4g1UXjKRFPKO3fuFEoftbW1EWoJMgaDAcePH9eVK9QWC9HbloqNyOE6AFSl67XTxdHCL/QwGo2qAjykXlJVVYXz58/HrHoJRCaWxTN1PRdVYLTPCCmxAOMfHmNjYxgZGQFwIbEOiJ3UG2v/DDObyM8zEJn4SX2Cto+lfmkyhZkAoKysDABUyapyAjoVTdKqxgCI2V9qVZHkcMcjR46otpX7SVK+uZSYiTCJmdjnVMNio6krTRW9c9M7vpzoLdsJU5UUpXdTfg/7+/vFsxyroOFsMy9UX7q6uvDII4/g2muvxZVXXonDhw9PylD/7ne/i48++gibN2/GlVdeiSNHjuDw4cN4/PHHcdttt015XSKRhnp5ebmIoZRlwbTx1XqqG3JcYnZ2tmowAS7ETVPlR22MMK0jP9yyJB4pKpAqARnqNDDI06962Gw2VWw3Gd/a+E1SadB7fGkQkz9igPEp55GREWFwNzc3i4Qq+VrGg57iCzGZ/UwEybTNpdhRivklnWrtx0lWVpbqOYtHRpFhEoU2X0ce+AH1B3cseVFg3Mj99NNPxce+3se6tv9QFEUoTclQtVIqphZrH3pQnw+o9eblY9H7mpubG1eV3fnKTDgHZrLugN49ilUBWc6x0H5YTqV9EykNaY13eqe0EqSTvUayoV5bW6taRudGNtJEctAzzbxQfcnIyIDT6UR+fj5ycnLw5ptv4qabbsJNN9004bYnTpzA66+/jkceeQS33347lixZgi9/+ctobm7GkSNHcMcdd4h4wsmsK5PI0JcnnnhCdKQFBQXo6ekRRimFwbzzzjt46623kJOTg5SUFFx11VU4f/682I5UEa677joEAgH4fD7VlKnZbEZ/f78IPRkeHhaFQBYuXAiHw4GKigrs3btXTKkCFwaeo0eP4ujRo6rBpa6uDkajUXUcbUzmwMCA6u9z585heHgY4XBYpRJCISN6A+Lo6CgCgYDKQFQUBX/xF3+B8+fPw2AwoLu7G0BsveNoGI1GYWzqedGn89uX9h8IBJCdnZ30IR3UIZPHXGssmM1mPPzww6pQoUtxKp2ZO9C0e3t7O3w+HywWCxYuXIg1a9ZgcHAQa9asQU9PD9LT05GSkqIbekK0tbUhJSVFtc0XvvAFnD9/XkiUkiOFnBFyyIzM6Ogojh49GvG72WzG5ZdfLtSpaJncf5rNZqSkpMDr9Yowv9/85jcYGhpSrbNt2zakpqaKwmUUmpjs/dB0QaEUWuUc7Tpbt25VhVbIIRjRQlAvRtkkWmiJNtxFXi8cDgvVNKqgS2pt9fX1IkQLGFc/oudd2z/rqa1p29LU1IT6+nocP34cGRkZ2LNnjxgTtm7dKtaja6AoClpbWxEKhVRhq/GoyslkZGSIcC5ah5YZjUZ4vV4cPXoUr7zyCs6ePSuuSSLUjiZjQyatoW4wGEQnEwgEJmWov/HGG/jjH/+Ixx57TGVkp6Sk4N1338WXvvQlXHHFFZNeVyZRhrrH48Hx48cxNjYm5O/k2N9AIICBgQH09PQgHA6jp6dH/C1DEmS9vb0q+S+z2QyLxYK1a9dicHAQg4OD4gWjr9Hly5dj3759wniX4yK1ccfA+MtIx9cbxBRFEd5xRVEi1gmFQhgdHYXZbBYDGS2Pl0AgINowGUPabrcjJSUFw8PD4ngFBQXo6OiIOoACF0qXU1x8enq67vryhwoN1HofIKFQaE7Ip1F8uhaz2YxFixbhoYcegtPphNVqxalTp5Cenq7qVBkm2SDjZ/Xq1RgcHBR5EOvXr8emTZuwfv16bN68GZs3b1bFpaempkZIM5IDZHBwEGlpaejt7UVKSgq2bt2Kuro68d5bLBZkZWVhYGBAGOypqakwmUwRfYj271AoJN5Bg8GAsrIyfPDBByIHBhiPWV+4cKHKMaLtTy0WC44fP46mpiaEw2GcP38eRqNRGF/z+Z0l47O+vj4iD4wM7zNnzmD37t0iRyEQCIg+mmaO5Xj/ycRXTyRhKO9/06ZNUT8oyNCtr69Hd3c3hoeH0dPTg5GREdH3VlVVobe3F4sWLUJ1dbUwbFevXi3Wle93PPHjW7duFdfk6NGjKkfenj17RHtfffVVPPfcc2htbQUALFmyBL29vUKCWZZHJhnRuro6vPLKKzh37hwqKirwwgsvYP/+/cjIyMDJkydx+vRpWCwWrF+/HuXl5di3bx9Wr16Nq666SuR4yO9MOBzGqVOnsHnz5ml4cuJnXsSoy3z22We477774g592bZtG0KhEJ577jnV8k8++QRbt27Fli1b8NWvfnXS68rQtMXLL78cV+hLWlratBj0esU79KZP9QptGAwGpKSkqJbrFd8ALsRy0bQRDRakFCAX+HG73ao48LKyMtXfsaZhaaqLChTpTfFqz0GeZpbbIrc93jhQbQVA7XWTC+GQhJterLy2sqBezLye/Jpc/Ec75Wi1WsUUuXycRFcTnEwcJMeTM5c62pAD6keWLVuGjo6OiPA5RVGQm5srcjf0wusSgdxXzvfwF23RPFlmFoDI/QqFQiKEiMYuPXnZePrAeIsGyTlntH+9AlZUCEvODzKZTKowEDlvTCsFLIer0PbFxcUAoPsMy8W29PI4QqFQRBGyaJBdoJVPjmUb2Gw2dHd3i3WXLFmCrq4usY22cJhsD5nNZtTV1UXd90xwycsz+nw+ZGVlRSynZbLHbzLr6vHAAw/g7rvvnvC/gwcPXswpCUjGSy7KsWTJEhiNRthsNuHJXb9+vWo7kgQjDw/x6aefimIfMv39/Vi1apV4sEdHR4VcoDxoBINB7NmzR8xG0MeI7BHQGukkSZiamopAIACr1Speoom+G7W/63no5Rj3WBiNRtTV1aliNbXx1FarFXl5eSLmmq6BllAopDrPcDiMmpoauFwuNDQ0oLOzUzxLRqNRJaVGspIARMfU2dmJvr4+lJWVqWZ6QqGQriznbBJL9otkFYHxgeXkyZOz3DqGSS5kGTin04lgMIhwOIyWlhYh+0ikpqbC5/Ohurpa9L3aPi41NRWKokz7TK52bCDS0tJQVlaGdevWiWW9vb3zWqaR7pnb7cahQ4fgdrths9lgtVrR1dUFs9mM/Px8sU5tbS1KS0tV95kkaffs2SPkeAF92UCS+FQUJapcoEuSPyYjvaqqSsjeGgwG+P1+IXtcU1MjcscA6Mp8ejwe1NTUREgBl5eXY8eOHaoxjX5/++23xVjY1NQEr9eL4eFheL1esX1ubq5q/B0bG0NJSYkQqPD7/arfteHFgUBAnIOsnhZNgjQtLQ0ulwv5+fnCoO/s7FTZCz6fTxyTci/omQ8EAkn9PM9Lj/q3v/1t2Gw2/L//9/9Uy/v6+rB582bcf//9uOuuuya9rkyiPerJjLbgjxZSDaACREajEZmZmboFhLRf0ZNVbbHb7ejo6BDyhwUFBcLLQF7vhoYG4Q3RqsvEW1SEzktPLYGK8GjX1fO20/HkIiWyqo7c1kR5teLxksven0s1AY1h9JCT2FasWCHUu0wmU8SMonbGD4hM9tMmt0aD+rbR0dEJFaq0FBYWqowmuX2yJ3W+I49Zx44d011HW+yNICOeBBYAtUpQtEJdZPzS75mZmapttF5/mhWmcVhOCpUTjxVFUc3WyDM50Yr5aZ9Hu92OlpYW8VzQeEvbyzPU2hlwck7JjkJ6NklqlJTkrFYrmpubkZ6ejuuuuy5iphm48HzLswYTkchZokveo56VlaXrCadlsgd9MuvqYbFY4vpvurwf5H2dyFtMyLH+8RLNsxIv3d3dolNJTU2NKPhTXV0Nj8eD/Px8ocAiv1h2u12sLw9ahYWFWLJkiepYet56maamJt17SQYxeR1SUlLEOlpFB228qR6FhYVYsWJFxOxEKBTSHUQbGxtx6NAhlVyboigRHwVU7GdgYAArVqyAxWIRyjqJKtQgFyOKBnmkyOuUqLYyTKKIVnCloqICx44dE0oTFosFxcXFqK2tFZVRCSrgVVhYCLPZDIPBgGAwKLyNLpdL5SnV9vVU4I2MmOLiYvzmN78RRly8VFdX6zpEtJ7U+Y48ZkWb1SSPNnmNaQaZvN1yH0/XjmbKQ6GQKLhXXl4uCsfRGEH3gDz2VKSqq6sLFotFFX7Z3d2NQ4cOoaKiQmWAUlFA8oQDENVp5Zkc4MLsjV6Yqc1mQ0dHhygkCEB42Ak5gVk7G5+bmytmlOg/avvo6Ci8Xi8OHz4Mq9WKlpYW4fVvamrSHYvp93iNdHKi0b+TeYyal4b6tddei46ODtVDAozHnQPANddcM6V1kwGn0wm32y0MSwqjiDYllJKSIuLKo0EvGRnWWm8LvRR66jd6yMV8tm3bhoKCgohOvqqqChUVFSgpKUFLS4vqt46ODmRmZkYMOnJM3mQIh8PixaeOKD09HTabDTk5OarOTfuSU/KqxWLBokWLoh6jsbERVX+ulhoNGjQVRUF/fz/y8vLEbxaLRZXYFQ6HsWvXLjgcDlW1VzKAEx2nrsXj8SAvL09UdCVjvqKiQkzRJvPUIsNMN7FCxKKtU1FRgbKyMiiKIjycALBixQpkZ2eLYmgkK1tVVQW32y2cN/QRX1hYKAonyUbOjh07UF5ejv7+ftEGu90et3NGDtsj54XBYBCG5nxE/uCij6yOjg50dnZi586dKC8vV/V95KyhcNFFixYJL69ejpLrzxWyCaqQLX8cyWNvMBjExo0bxd90nM7OThECAwA5OTmq9svedK3y2tjYWISDisQQokkQAxDGPoklaM+toKAg6rNVXV0Nq9Ua05FI4TXacXWyM0JaDAYDSkpK4Ha7YTabEQ6HkzpMc14a6qtWrcLQ0BDq6+tVy999911YrVbceOONU1o3WaiqqhIPaigUiplsNDo6iuHh4QlfBtqX9gWgl5V+nyx79uwRmu+0P/IulJeXY+fOnarOiOLsKF6d1k9NTUVXV5fuoFdYWAibzaZq60SMjo7C7/ejubkZoVBIeKu0506DktfrVQ1uBHlLurq6xDnEKuXd19cnvAher1d4SqiTlQdZikUsKSmBzWaDw+FAZWWlKt4xWSDPv9frjYihl42R8vJy3HLLLSgvL09wixlmZpFj0yezjtPpRG1tLWpra8WMG733ZIxnZWUJb+rJkycxMDCgqmFBThBFUSJikw8fPqwaL5qbmyMqBkczruQxYNGiRWKGjxJf5xPkfNi5c2fUD65wOCycP16vFzt27FBdW7PZHHH/6SNM1vSm56CwsFC3LXJCJzA+Xjz77LO63mMaz5uamrB27Vrh4adja8OrwuGwUHajY8jVovVsi5ycHLhcLlX8u9YhSGErWieoTFNTk5glNxqNUBRlyjP68sfMRE5Fg8GAHTt2iPtFs+vJStLKMwLjGuft7e345JNP8P777+Oyyy6DwWDAp59+isWLFyM1NRWnT5/Ggw8+CABCuvHzn/88mpubUV1djaysLPj9fhw8eBB1dXVwu9247rrrxDEms65MInXUTSaTKkM5Vgw1Sf2R0UvyfxMZ3WQc672kqampqtjwaHrmgPrLlzKr33zzTfT29uqWw5aTZIHxDmpkZEQcS6uzDgDp6eno7e3F4OCgqo0mk0l4fbQGPHmmiPXr12NgYAADAwMwGo0oLS3FqlWr8MEHH6g8JAaDQXivRkdHkZmZiaGhIYTDYTFYxtJZLioqwvLly4U04Re+8AX09vZi2bJlSElJwZYtW/Dwww9j4cKFQg8XAOrr69Hc3IxAIKCSAUsWiTSS0aIPrYGBAVF+fOXKlULmq7m5WWjXFhUVJbrZDDNjxKOTPdE6JA05MjIiCrksXLgQK1euREtLC4aHh3Hu3DlhpOfn56O6uhomkwlOpxN79+7F4OCg6KOpX9f2yxaLRYRppKSk6AoMENQPXn311fjDH/4AYNzLa7Vak6Y/mg5KSkrQ29sLYNzw27Jli9ANP378eEx5XiIUCmH37t1CtjM9PR25ubni3p04cQLPP/88Tpw4gYceeggPP/wwXnvttaha/KFQSCiVyGN4YWEh/vCHP2BsbAw2m02Mk6Ojo0KWMxAIIBQKRTWcaWyjcZQ89XqkpKRg+/bt+OSTT9DW1oaxsbGIZ6atrU2Mp5RT5ff7I/ZJbQ2Hw0hPT1dp+U8G7ccHnZOek1LbBspX04pwzCQzLs/Y1dUVESscjWPHjuGWW26Z7CEAAN/85jdFYRotL774IpYsWYLTp0/jO9/5TkSi6dDQEPbt24e6ujr4fD4sXboUd911F2699daIfU1mXSKRlUmByDLW0SBPrFyBa+3atTGTj/QkCy0WS0RijDYRUi/xSd4nMD7w5Obm4vDhw7qdgKIoWLp0KZqbm5GSkiKUYeKRnyTI66QnVUVJpcuWLVMlpMiJNSRDJSfrANHlt06ePClmDfQqxE7ERHKHskSWLMuZjAmaesnOcnIxxUImqhocw8xFtH2E9j2j5HMKb6C/Sa1KrmLq9/tF36lNXpT3S4a/NkE+GnoVL+cK8vUFxmcB5QRGkiWUK7eS4UljH3Ahhttms6GrqwspKSmwWCxwu904efIkampqhLiAnlABjX8UDqp1qNntduHsICg/itpP49ZkmWhMBS4YuPFIIMfaH+2ju7s7wjkXL9qZa71nVHtfZMedtiAiVTKdLSZjQ07JUL/nnnvw4IMPqmJstQSDQbz44ouorq7GW2+9NdlDJD2JNtTlstZ62fiEnIVNX43RjGTqtKlDSUlJEVNi0TqV2traqFnuhJ42ubyu/Lv8b1mndmBgQHWOaWlpom1aZZdly5ahr69PdW20SjRyG7Rl7el32j4nJ0doxQJQqRxEKy8+mRdfVkjRZvyTkS5/AADx6fImAvl60HS43OaLKUvNMMw42tLr1N9oy6UDEJ54+jch63HTeym/t7KWO22rVcUC1ApWcn+bbE6EWMga5loFLvoA0TpMsrKyRHiHnsILoJYK1qr56Dmg5HXlyrThcBjLli1TGel6dVHog0yuYyJD5yd/rMVDWloa8vLyYtoaWiZSZJss8jXUKtZEQ087nUQl5OXJbqhPKUZ9ZGQEP/zhD7Fr1y7dUITW1lY88sgjeOedd+L2vDOTQ07WI+1Qs9msUkwB1FnYFE9H06TyF6miKMjPz0dVVRUaGhoQCoWwYMEClfoKHYMIBoNYu3Ytdu7cCYfDIZKaKMHIZrOpEjWB8Ze3s7MTFosFNpsNdrtd9bv8b5PJJOL4SkpKVOclSz719fXB7XZj0aJFInmKEnQo7tvhcIgYc7PZLJKfFEVBaWkp3G63SmNV3r6lpUUkzQSDQZXKAXkvSMWF4kEp4SeeBEpZH1eOg5T1cUtLS0VHkoxGOiUsARDPJcXZOp1O8bxSzO2lohLBMDMBvU/FxcVCyxuAqh+jv/Vk8CiZjt5HKil/5MgRBINB+Hw+HDlyRMRe+/1+2Gw2FBQUIDs7WxiiaWlpWLFiBQ4dOiTGDeo/5xKyggrlAKWkpKhmCejcKIbb6/WioaEh4lwpudbv94vxUmuQU1y0FvoQAi6EnpCgAVWIJbKysiKMbVkLXQ+KUKCK2XINkViMjIzg3XffFR8QenHklGNGUO4XMZnYc0VRUFhYqNofVS6n510vPEi2a8h2kG2S9PR03aReen+SlSnFqK9evRpNTU04deoU3nvvPVx33XXCID948CB2796Nzz77DLfffjuefPLJi5b7S0YSGaNO5Xffeecd/OAHP8DHH3+sKj2/ZcsWZGRkoL29PeqUUlZWFsbGxsQLW1tbi927d6Ozs1O8AAaDAXl5eSK++tFHH8UHH3wgVAfkGPa2tjbs2bMHmzdvxn/9139hYGAAfr9f5YEoLCwUpYIHBgbw3nvv4Qc/+EFEpVHaZnR0FAsXLhQlkRcuXCji/G677TYMDg4iFAqht7dXxHPX19cjFAqJssM0bVldXS0M9UWLFuF3v/sdBgcHYTAY8Oyzz8Jut8NqtaK1tRVbt26F0+lUlQ6na7Bu3ToMDg7C5XLBbreLdehvKr8st2si7X86N3k/ALB3714EAgEoioKbb75ZVdI6nv3OJnKp6lix89rrxTDM1NHGuMv9WFFREZxOJw4ePIje3l6MjY2JePTbbrsN1dXVcDgcqlwhGhOAyDLrW7duxb59++Dz+WA0GjEyMoKxsTG0trbizJkzIpRQURTs3LlzFq/CxWO328V1ovEnMzMTRUVFYiaQ8o0++ugjlVf7gw8+iDD82traEAgE4vJaK4qC9PR0EUser6c7Why7nvOUoDhwMlij7YOQ89nk/8sfLdRemn24+uqr0dPTI54RIl7vutlsRkpKCu644w5kZGSons/bbrsNL730Eux2u4iPl6HcMu3zTzMkerP7NN7PNpOxIadkqF922WUoKCjAyMgITp48iV/+8pcYGBjAwYMH8e677yIjIwOPP/44nE7nvDTSgQsXuaGhAf/93/+NX/ziF+I/ADOmFkPhED6fDz09PeKLGxjvWAcGBtDa2oqXXnoJRUVFqKurQ09PD+x2u0hENBgMCAQC4iVct24d1q9fH5GkOjo6inPnzoltVq1ahePHj4u/SSIMGH+5FEVBSUmJ6NRWr14tPhZsNhu+9rWv4Te/+Q1CoRDsdjvuvPNOfPzxx2hvb0dBQQE+++wzeL1ekXxCyTr79+9HRkYGnE4nNm/ejM2bN2P9+vXYtGmTMIzJw0wGLyVfkaFPyY6U0HnkyBEA4wMTJSPrDXqbNm3C+vXrI46rXUf7t9yuaAYpfXCRF/7DDz/E8uXLxfq0DxosOjs7EQwGoSgKioqKksrQPXPmjEhqkz8i5HO02+1xJdgxDDN1tO+YyWRCfX29kAqsrq4WTpmenh5VUqSciCgbYYWFhaiurhY1KShsw2g0YvXq1Splr0cffXTOvN9y/7R8+XLV+Pfoo4+isrISvb296OnpQVFREfbt26cyOEdHRyc0dmNhNBoRCARw2223if5TprCwENdff32EQUqYzWZs27YNp06dipkALDMyMhK1zSTCQB9z5FiTURRFbE/hOcSaNWvw4x//GA8++CD27t2r+9FBHyZkOFssFlVlb7qmra2t6OrqUn149PT0ICMjQyihDQwMqIok/frXv8aJEyfw5S9/WSRVh8NhYexrw4T+93//F01NTaoxaraY8WRSmdOnT6OiokJk6n7xi1/EY489hoULF17MbpOeRMWoy8k+egkdctyhNjyC4hqpgAAltcjTe1arVbfql7xvilPTxowBEIY2xVrrxdJTJbVo7dMmqdKx9bTDoyViTlQ9U64OGC2pMZ4KnBeDHBcJjMczUtwhVVGltsnx6skY/xktzp6WR7vnDMPMPNq+TJtXRKF3ciVhbWKoNrEdGDck5UqWVHV6riD3wYcOHUJ5eTkOHz4sZmLl5FxtbP7FQOGM2utJpKWl4fHHHwcAUcmUqsBqCxLJHu7JmHNygqhehU4532GixFBCzluTK7DS8eS4fnks0Ipj0AcA5ZudP38eo6OjMJvNyM7OVlW9prGlq6sr4vy1Y6ve8bXPwGwxGRvyouQZ/X4/Xn/9ddVX1+joKJYtWzbpymdzjUSFvsjekczMTCF3RDHhq1evRk1NDXw+X0R4BHlaXnrpJfh8PiEjKGeKBwIBjIyMiHgw2dsSDocxODiILVu2oLW1VcgPGo1G0ZlRXB0dm465e/duMWVqMpnQ29uLU6dO4eDBgxHeVtlbTp4CraeWoJALvXM1mUyoqqrS/VJev349ioqKYsoxRdv3dCGHgSxfvlzcV+q429ra8PbbbwoX4lsAACAASURBVAuPe2Njo5gRSJQXIBp0Llu2bFEZ4rK8XG9vb9LJSjLMpcBEM3+rV68Ws6CDg4NwOByorq5WGVMUonfixAkxJgwODgoPrcFgwBe+8AXs3r07afqlidCG4q1fvx5vv/02+vv7xWwm9csXW2RHS11dXdT6JpmZmThz5gzq6+uF93psbAyPPvqo6vpT/DpB4ShaCUa94yiKIuSB5RCVrVu3wm6344UXXph0DRWDwYBvfOMbKCkpEdKMBQUFInTU7XaLfAgaV0nuUg65JSWY3t5e/PKXv8Srr76KQCAAi8WClStXitkHs9mMhx9+WEhFymEyBoMBa9asQXt7uwiX7ejoQEdHhwiLARIXjjkZG3LKBY9++9vf4uGHH8aRI0dw3XXX4Uc/+hGcTif6+vrwr//6r3jxxRdVN5+ZHpxOp5j2cblcoqRxQUGBSNaTEyi1CY0ejwd+v18kWtAXJC0DILZ3u92oq6vDiRMnUFZWJo4pJ7IeOnQIbrcbNpstZjleuaImrQ8gZmIhFf4oLS2NWjgkVlGReCoDxiLWvqcDuo6UbEkFSuTEl87OTuzatUt4diwWC5xO50Wf23RD5wJA9cxRMQ8AqmqKDMMkHm1fTv+Xk77lqsMARD9PSaNut1uEK5IRRu+4XNUzGZH7YODC+EhF+QCIflkmmoGtV+xO1vLWbqc1tImBgQER6ignpFZWVqoKWJnNZlEoSfaoU0EsKgYoFyNSFAVmsxler1dV8I+K7ckGLB2DEk+156c9H5PJpLqGmZmZWLFihZB3phkaeVylYnmKoojnKD09XczgAxA2g9vtVlVxDQaDcDqdYoZcbl84HMbhw4eFp57+LYtBAJHPQDIypdCXvXv34mc/+xnC4TDuvPNO3HfffSIW/cyZM3juuedw/vx5XH311Xj88cdx7bXXTne7E06i5RkB/dAMeZmsA05hB7SMpnm0IRUXo4M72VCRmQ4tmen9zzTR5BnlqetkODe9Z06eRuTwF4aZW+i904Ba1pbCEMjgor6Kwt/kZckYrkfonassLWi329HS0qLyKk8kPSiHpMhSwnqSirGguhPaY8n1KEhDnaQ6ZVlJuuZUO4XkG+VwGvkeVlZWAkBUGWCPx6PSktcqCpFxrw2nys/PV8l+yqEnehr2scYIj8eDPXv2IBAIiPDQW265RTVOytVXjUYjMjMzhcFOYUeJHkdnXEf9jjvuwOWXX47HHntMVAPVNuD555/HkSNHkJaWhjfeeGOyh0h6Em2ox4pZjhbrrRe/Hi22mEkO4rnPiTZ85Rg/+UMPYO10hpnrkHEGqA04MgyByKI7c2ls0eu/KPRHRjY49RI3ZV102cCOVTBPexw5Npvqn+hB+uCyEUrykqOjoyLGXRsDLtcMiVXsSjbg9e6b3jNB45RsvNM1kWuhyHkQsT7etHZMrPFDm1sARH50yH9rcy4S8SE544b6rl274Ha7kZmZGXO9X/3qV3j++edx4MCByR4i6Um0oR6rE9QmR8wFY49RI98XKkCVk5MjCjnJH2CJ9lRHe4ZocEhEMQmGYWYWucI1jUOyYUWiBclehTiaQVheXq6qOE3hI7LiDZ0zzRjKnlxALYIgCxhQaJHsPKP+PFqBJdovfRTpecXlQkcnTpwQ56f1glssloj7IyeA0vFijS3RxBDkgkK0vdZZKBfDizZmyTZOPMb0ZJNCE/0hOeMFj0pKSiY00gHg1ltvxb//+79P5RDMBMgx39oHTBsDpo1rl5kL8VmXInIMulx4SS5OAkAMDomMV48Wn84wzKUBFcvr7OxETU0NOjs7RbiIHFOcjEQrxlZRUYHCwkIA4/HOw8PDqkJFoVAIlZWVYrx1u90oLS1VFebLyckRcf7Uj9PHABmgVCyP4rDJ2y6Hu5BAR1lZGSoqKuB0OoVBbDKZRP9LIciUFElOOq/Xi6ysLNHOQ4cOiftTU1MjrgPlgxUUFKgM8MrKyoi+3eFwiFw4ugZyhW/5WHRuJSUlqKioEDHru3btijpe0D7z8/PjyhWbTE6ZnKuXzLM9xEWpvsRDouK3Z5pEFjwCIrP4J/qN9avnFlpFGFJmIF16o9GI4uJinDlzRmTXb9myZdbvr6xDTAN1a2srTCYTjh8/LjL9k02lhmGYqePxeEQtCkVR8Morr+DMmTNob2/H4sWL4ff7kZOTg5SUFLiStLiZtsaDnvrH7t27IwoIyYV+0tPTsXPnTjG2kjIOKcX09PSI2iYulyui5gcV5qM6IbQfWd0NGK+SeujQIdV1PHv2LNrb20UdlJKSEuGRP3jwoGomncYLKh4IQNQwyc/PF+pndGxS/Ln55ptVql2yAhopuQ0ODmL79u0qFaGioiLVsaJp+4dCoaiqaloVuInGkMnYOCUlJejt7RV1VhLBjOuoUxnaeFm8ePFkD5H0JDr0JRYczjJ/iRYvmqh7LYe3uN1u0TYAYtA4dOhQwrRqGYaZfuSYZ0rMk2OcAST9ux4ryV0Ohzly5AiGh4eFIklBQYGIx48WP601krV1RbRx/OQJlpMkV6xYgcrKSgSDQZhMJuTm5qpCRuTEV71wEr3QjnhsA72+eiLhiqmMPZPdfjrHkGSwkWYlmTSaPJEeb7311mQPkfTQRb7yyitVU10AsGHDBmzYsCFBLZveB5pJPpJJRUUbhx6tbcnQMTIMMz1oP9DJaKWidsmeQApcMNYoKVbOpdEauQB0Fbj0VK60+5eNeXl9l8ulcrrI6jpGoxHHjh2LaAuFw2jj2PXiuPX63Hhsg2Ttq5O1XVNlxg31J554QtdQD4VCOH/+vChtn5OTg9TUVDz99NOTPUTSwx51ZraJVVl2Nj/IYslp8bPHMPMfeWYvGAwKQ5cMzrn0/tNHRzS5STlWWyZeOeNoqlhaI19PdhBQG/xar/lklFHkfc2l+zNfmXFDfSI6Ojrwox/9CAaDAd///vdVAv3zhWQ21Jm5TyxviLZ08mzLH07klYlWrpwHB4aZP1A/ICuEkEd6Lr3z1FZZdYUMZ3KMNDc3Iz09HevWrYtLsURv/3rhMXPlGjHTz4yrvkzE0qVLUV5ejt///vd49dVXZ+IQDDOvkVVfCG0WvNvthsvlEioLs6X6os2u11Yf1LZd71wYhpnbUD+wbNkyGI1G5Obmit/m4ju/dOlSGI1GWK1WbNy4EQCEOko4HEYwGERFRQVqa2tRW1sbt3EdTVmNFdeYeJkRQx0ALrvsMvzlX/4lfvWrX83UIRhm3qInNaUt9+10OoWMl9FojEuWajrQDjDaQVnb9snIZjEMMzegfqCvr0/I/NHH+lx656n/IrlCksGl/iw/P19Vzp5hZpsZM9SJ/v7+mT4Ew8w74tUmpwExkYlbDocDwHgMZ3l5eYQhz54jhpk/aGfQXJImOBm3c+md185U5uTkwGAwoL+/Hx6PBxUVFTh27FhSF21i5jczZqifO3cOp0+fnpfSjAwzW5C3J1phiGQYEOWCJlQ8g2GY+Yl2Bs3pdAqvM320a435ZEY7U9nX1ycKHMUqyMMws8WUDPUDBw5E/e/ll1/G9u3bsW3bNoyOjuKrX/3qdLeZYS4Z9LxVQHINhC6XC2azGQaDAfn5+UnVNoZhphe9sBaqutnQ0ICNGzeisrIy6WPUo/VTLpcLiqLAYDBE9LsMkwhSp7LRgQMHRKZ3NNLT03HnnXfi61//+pQbxzCXOk6nEydPnkRNTY3wVgFqr1YyTC+TrJlcaCNZ2sYwzPThdDoj3muSG/T7/aKOQjLHqHs8HuzcuRPhcFjITMoKLKRWtWfPHnR1daG8vJxDX5iEMSVD/ZFHHom+w9RUWK1W3HDDDTCbzVNuGMNc6siyYbK3yuVyqfR4E432oyGZ2sYwzMwhSwzKkobJLjlYVVWlcjRGc3wMDw8DGA/pY0OdSRQzoqN+KZDMlUmZ+YG2yqdW5zdZmCuDM8Mw08tcrYJNBZuCwSBMJhNyc3Mj9NHp3ACgsLCQDXVmWpmMjnrKU0899dTsNGt+MTIyAo/HgxdffBFf//rXhXG+YcMG3HjjjYluHjMPMJlMaG1tRVFREbZv346MjAy0trbC5XLBbrer1vV4PCgpKYHJZIr4baax2+3YtGnTrB+XYZjEYjKZcOrUKYyMjCAjI2PO9AF2ux2bN2/Gm2++id7eXgwODiItLQ29vb1obW3Fpk2bRP+7detWfO5zn0tY/8rMT8iGvOuuu5CWlhZz3RmXZ2QYZvqhRKjy8vKEJG95PB7k5eUhLy+Pk0YZ5hLF6XTCYrHA6/XOyaRLOTFWmyQrK2rNxQJOzPwhrhj1b33rW1M+gMFgwAsvvDDl7RnmUkUbN0l/V1ZWYmBgAKFQCN3d3QiFQjCbzSp5tNlom9frFf+OFvLCYTEMM7+Zyzkp2sTYaH3UXD5HZu4Tl6He3d090+1gGEaDdnCQlRWoGml+fj4aGxvh9/sxPDys0jSf6baRWkKswSvZ1GkYhpletMbufPw411O6YZjZIqmTSYeGhrB//37U1dXB5/Nh6dKlcDqduPXWWyfc9uzZs9i/fz9aWloQDodxww034L777tONLzt37hwOHDiAjz76CAMDA7jiiiuwbt063HnnnVGVayaTCMAw0wkNhA6HA42NjcJQTsbBcT4O2gzDRGft2rUYHh6G2WxGcXHxnHz/ud9iZprJ2JBTkmecLZ5++ml89NFH2Lx5M6688kocOXIEzzzzDEKhEG677bao2509exZlZWW48cYb8eijjwIA3njjDTz55JN4+umnkZOTI9b9/e9/j5KSElx55ZX41re+BUVRcObMGbz22ms4d+4cnnzyyZk+TYaZFOTdkfXKE12dlGEYxuPxCEnDQCCAyspKeL1eXa3yZEauCA1ED4lhmNkgaZNJT5w4gQ8//BD/9E//hK997Wv44he/iIcffhjLly/Hyy+/jLGxsajb/vSnP0VGRgaeeuop5ObmIjc3F9/73vewYMEC/Od//qdq3SNHjiAYDOKJJ57AV77yFTgcDmzatAn5+fl4//33MTAwMNOnyjBxI1fTo+Qnh8MhliWyKqjesTkJi2EuDTwejzBsAaCgoED8OxgMYteuXUnRF+j1U9pl0SpCM0wiiMtQLy8vxxtvvKH7m9/vRzAYnNZGAUBDQwMWLFiAtWvXqpbffvvt6Ovrw9mzZ6Nu29zcjJtuukkVtmKxWPBXf/VXaG5uRl9fn1iempoqfpfJzMyE0WgUvzNMMqCN+T506BAaGxvFstkyjPVUX+Rj08DncDiSukIhwzDTQ1VVlcidKSsrQ0VFBdxuNxRFQSAQEL8lui/Q6yNlDzr1Z5mZmVAUJeHtZZi4DPXTp0+jo6ND97d7770XP/nJT6a1UQDwySefYOnSpUhJSVEtv/baa8Xv0RgZGdHVpaRlH3/8sViWl5eHjIwMPP/88+js7ITf78exY8fwzjvv4G/+5m8mrK7q9/vj+m9kZCTOM2eY6MgSYnrGsFZibKYg1RdZlk328JP3rLGxkcNyGGYeo+2HSkpKxPtO8o3hcBhGo1H1W6La6vf7hQFObbdarQAgPOgUskPnwDCJ5KLdxeFwGDORj+rz+WCz2SKWZ2Vlid+jcfXVV+N3v/ud+IIHgLGxMeGFl7ddsmQJnnnmGTz99NMoKioSy//2b/9W9Xc0HnjggbjO595778WmTZviWpdhtGhLdQMXqgL6/X4xIzRb6gR6qi9y7HyyeM8YhplZyBsNQFWdVE56B5AUsenkYLDZbKo8H1K2MxgMMxYlwDBTZV7GdWzcuBE/+tGP8JOf/AR33303QqEQDhw4IF5GMt4BoKurC9///veRnZ2NsrIyXHbZZTh79ixef/11DA8P45//+Z9jHuvll1+OS/VlospTDBMLPZlDWa6R9NVnK1mL9q8XYiMb8QzDzG+oH6JcGep/yCvt9/tRW1ub6GYCiC55Swpafr8fXq8XiqIgOzubHQ1MUpC0yaRZWVm6XnNaRp51PfLz87F582a89957cLlc+MY3voFPP/0Ud955JwCIaS4A2Lt3L4aGhvC9730Pa9aswV//9V/j7//+71FUVISamhqcPn06ZjstFktc/7GhzlwMeiEtTqdT/K0oCgDMarJWtHj4uV6tkGGY+NHLlQEgvNLJ5J2Wq43Kf1dUVODQoUPIzc2F0WhEbm4uh+wxSUPSGurXXnstOjo6ItRdKDb9mmuuibm90+nET3/6U/z4xz/GSy+9hGeeeQYDAwMwm824/vrrxXptbW246qqrImLRb7jhBgDj8o0Mk2i0AwxBU7kWiwVut3vG49PlJNJYiaIulwuKosDv9ydEgYZhmNlF60wwmUyq/88FGhsbEQqFZq1wHMPEQ9Ia6qtWrcLQ0BDq6+tVy999911YrVbceOONE+4jLS0N11xzDRYvXozu7m7U1dWhoKAA6enpYp3LL78cv//97zE0NKTatqWlRfzOMImGkp7Ky8sjZMRocIxmzE8nchIpFVsilRe5nQDYq84wlxDU/wDj4ae5ubmw2Wxwu90JlY3VEq0vBfRnLhkm0cRVmfSOO+6AwWCY8kHeeuutKW333e9+F62trXC5XPjc5z6HX/3qV6iursbjjz8uCh6dPn0aTz75JO655x7ce++9AMa97vX19bj++uuRlpaG9vZ2eDweLF68GE8//TQWLFggjvH++++joqICN954I/7u7/4OiqLgd7/7HTweDxYtWoQf/vCHumErXJmUmU0o6Ym0fW02mypxS2Ymq+p5PB4Rf+52u0X4C7WH2kmD3VwpcMIwzPQg9wHaxPdY/dZst4/6UkVRYLFYkrrCMzP/mJHKpDOh7DIR3/nOd7Bv3z789Kc/hc/nw9KlS/Ev//IvuPXWW1XrhUIhVftSU1PR2NiIn//85xgaGsIVV1yBr33ta3A6nREhLl/+8pexfft2eDwevPDCCxgcHMQVV1yBwsJC3HXXXRxbziQFctJTQ0ODCCnRDiZUdIRkxqZ7sNFTlZGTsxwOB7q7u+FwOGZNgYZhmORBm7BJyyorK6P2W7MFyTOSHUBhOXJsvTZpn2ESTVwedSYS9qgziSKWd0r2FiVCsziZPGcMwyQPydA36M1MOhwO1NTUICcnR9SLcf//9u4+vqn6/B//K71vsLFUwGIr7ZR7hIBDtI4b7QhOW0ElyM2Qln0VNducdxQHzA86qVj3YeAw4zPUlkGtaJBbp9CBiEgdIhBAW8oQOhBrxVrTkoRAk98f/Z2zkzQp6UmanLSv5+PhY/Tk3LVnPefq+1zv6zIYGKhTh2pPDKnYHHUi8q6tPErhs3A1FmGOJ1HXdLk8dCXcG4Rz0Ol04rkIE0irqqrEifkM0klJOKIuE0fUSUk6Mi9dyccmImWQjlbrdDpxsrnS7wnSxkxms1n830g4d4pc7YkhGajLJPyQ09LS3BooAUBOTg5ycnLCdGbUVUgDZM9JnaGkhFfaRBRe0vkx/kx6V6rs7Gyx6ZFSGjVR59Mhk0nJu6VLl3JEnUJKCNCFLnrSYL2ja6h7GzkPxbGJSNmk3Yqlo9JKxLeAFEmYo04UYYTRcwDiZChpoNxR9Yq9dSKVvjaW1lMnoq7Hs9OnUoJgz/x5X12VAYiN4wwGQ4jPksg7BupEEUaYEGUwGNxadxuNRhQVFfl8AAXruFqtVnzoCQ+8bdu2ddhxiYgC4RmYtzWxNRSN44jag4E6UYTx7ACo1WqRmpoKh8MBp9MJlUrVIa+cheMKfxgIo/jCHI2oqCjFvuomoo7jOWIt/VoJXUm1Wi1UKhUaGhrEOu4MxilSMFAnilDCKJHZbMbWrVvF5h1JSUkd+gCSjqyXlJSIpc7CVRKSiMJHmEQqHbEW7k0d/ZbPX2azGS6XC3a7nW/9KOIwUCeKUJ6vb6W5lR05iqXX65Gfn4/y8nK3PxQYpBN1PSUlJWKlF+FeJNybALT6LBzy8/Oh0Wig0Wh8nocSRv6JvPGrPGNZWZn8A6hUmDZtmuztlYp11CnUvFUq8KwBLHwWzJKJ3o4b7g6oRKQMbVVQiaTqKiwzS6EU9DrqEydOhEqlgueqKpVK/LfwmecylUqFTZs2tesbiAQM1CnUvD1IvLXE3rp1a1AfkMIxVCoVkpKSxGoIkfIAJqLQiqQAXRCJ50yRK+iB+o4dO1otq6ysxPbt29GzZ0/ceuut6NmzJwDgu+++w969e/Hdd99hwoQJGDRoEH7+85/L/FaUi4E6hVp7RtSDfVyhkQmANkec+LAjIs9BBd4XiNx1eGfSqqoqzJ8/H5MnT8a0adMQHR3t9nlzczPWrVsHk8mEwsJCDBw4sL2HUDx2JqWuxGQywWg0AgCysrJ8/lHA18dEXZdwn3A4HIiLi4PBYAh6Kh5RZ9CeQF3WZNLS0lKkpaXhl7/8ZasgHQCio6MxY8YMpKWlobS0VM4hIsbSpUthNBrd/mOQTqHW0ROh9Ho9du7ciZ07d7qVZ/TUVn1iIurcSkpKYLFYYLfboVarxT/klXJfUFrZSCJ/yArUjx8/joyMjMuul5GRgePHj8s5BBG1Q1ud9oKNzUKIyBtf1VXCdV9oqyOptIQkA3ZSMtnlGc+cOROUdYgocNLg2WQyITs7G9nZ2R1WnrGthy5Hqoi6JumbNyX8sd5WR1JpCcna2loUFRXxnkWKJCtQHzRoEE6ePIl3333X5zrvvvsuvvrqKwwaNEj2yRGRf6TBs/D62WKxhLS5hxCgG43GsDc4ISJlCOcf7p5v/6T3SeHfBoNBrJrFexYpkaxAfdasWYiLi8Pq1athMBiwdu1abNu2Ddu3b8fatWthMBiwevVqxMfHY9asWcE+Z6Iub8GCBRg1ahQWLFjQ6kEotMtOSEiAVqsN2kOyrTbhwH9HrwAoIh+ViMIvlGl5nvxJudHr9SgoKOA9ixRLVtUXADh27BiWLVuGr7/+umVH/3/9dGF311xzDR5//PFOWfEFYHlGCq9Ro0aJHf969erlVlFBWmEBQNCqLXhWbmAJNiJqi7/Vooi6mvbEkDFyDzJgwAAYjUYcOXIEX375Jerr6+FyuZCSkoLBgwdj2LBhbs2PiCh4dDodysvLodPpMGLECDFABlpe90q/lv47EJ779fxaeJ1MRCTtv5CamoqKigpYLBYYjcaw3yc4qECRRPaIelfHEXVSIj6AiEgJpF2TCwoKYDQaYbFYoNFosHPnzpCdh7d7Iuu6U7h1eB11TxcvXkR9fT0aGxuDsTsikilc+aCs9EJEUsJEzoKCAuj1ehgMBmg0GgAI6X3C2z3Rc5Ip71+kZAGNqP/jH//ABx98gJqaGgBAdnY2fve73wEAPv74Y3z88cfIz8/HNddcE5yzVRB2JiUlko4eAQjq6Lo031ToOCjgCBURXU52djYsFgsSEhKQnJwckjd//rxl5P2LQq3Dc9Sbm5uxePFifP7554iJiUGfPn3EYF1w7bXX4tNPP8X111+PqVOnyjlMRFi6dClTX0gxpHniwsOnqKhI/CwQQtlH4d/C/wo1iY1GI6xWK0wmE9NuiAhA68EDALhw4YI4yt3R9wrpPXHBggXi3J7FixeL56bVagGAVV9IkWSlvmzevBn79+/HTTfdhNdffx1/+ctfWq2TmZmJq6++Gp9//nnAJ0lE7Zefnx/U+sCeXQc9Xyk3NTWFvHY7ESmb9D5hMBiQmpqKCRMmQKPRiH/Yh0p5eTmcTie2b9/u1vPBbDazozIplqxAfefOnejevTvmzp2L5ORkn+ulpqairq5O9skRUfsJ+ZYAUFBQELQHomfXQWmeZ0lJiVgukqNSRCSQ3ieE+4bZbAaAkP9hr9PpEBUVhfj4eNTW1sLhcCAqKgopKSkd2s2ZKBCyAvWzZ89iwIABiI+Pb3M9jUYjvionotCQjmDp9Xqo1WrZD8S2JlkJzUSAlnw7jUYjThwjIgJaNx0KZ2O0xYsXY9++fXj88ceRmpqKuLg4OJ1OVFVVhaWbM5E/ZAXqsbGxsNlsl13vu+++Q7du3eQcAgBgs9mwatUq5OXl4b777sNjjz2G3bt3+7VtdXU1nn32Wdx///2YMmUK5s+fjy+//NLn+l988QUWLVqEadOmYfLkyZgzZw7eeust2edOFGomkwnZ2dloaGiARqMRu5JqtVrZD0ThoWo0Gr0G7EKtZIvFArVazSCdqAu7XPdi4L8pdMK/O/Ke4WugQfjjQUjF0el0bml9REoiK1DPzMzE8ePH2xwtr6urw4kTJ9C3b1/ZJ1dYWIgdO3Zg2rRpWLRoEfr164eXX34Zu3btanO76upqPPPMM3A4HHjiiSfw5JNPwuFwYOHChaiqqmq1/q5duzB//nx069YNTz75JP7nf/4HkydPBkvMk9JJH0TCZE+73Q61Wo2KigrU1taioqJCdv6l8NoagNeA3Wg0wul0QqVS8QFH1MV5zlvxVhox0Ld8cs6nqKiozbeCixcvdkvrI1ISWYG6TqeD1WrF//7v/6KpqanV5zabDX/5y19w6dIlTJgwQdaJ7d+/H4cOHcKjjz6KO++8E8OGDcNvf/tbDB8+HMXFxWhubva5bWlpKbp164ZFixYhKysLWVlZeP7555GYmIg33njDbd3vv/8er776Ku644w7MnTsXo0aNwrBhw3DHHXdg+vTpss6dKFSkD0LPyZ7B4Dny5HA4UFtbi2XLliE3NxcOhwMAkJSUxAccURfnWZ/c82tf63Xk+QgT6n0F60RKJ6s8489//nN89tln2Lt3Lx588EEMGjQIAFBZWYkXX3wRR44cQVNTE8aNG4esrCxZJ1ZRUYHExESMHj3abfn48ePxpz/9CdXV1eJxPVVWVmLkyJFISEgQl6nVagwZMgQVFRWor69HSkoKAGD79u2w2+0MMiiieCsrJi1DJvAsiyaXsO/s7GzY7XaxvJpGoxHrIRNR1+Z5D5J+7VnPPBTPXOEYRUVFYvUrPusp0sgK1AFg3rx5ePfdd7FhwwaxBOPZPIhZbQAAIABJREFUs2dx9uxZqNVq/PKXv8T9998v+8RqamqQnp6O6Ohot+WZmZni574C9YsXLyI2NrbVcmHZqVOnxED96NGjSEpKwpkzZ/DCCy+gpqYGSUlJyMrKwuzZsy9bI91qtfr1/cTGxno9JyI5pBOyvDXo8KfJhxwGg0H8A8FsNoekYQkRRT7PSe6hIp3Emp+f32H3RqKOIjtQV6lUmDx5Mu655x589dVXqKurg9PpxFVXXYV+/foFHJQ2NjaKubFSSUlJ4ue+9OnTB8eOHRPLxQEtTZqqq6tbbfv999/jwoULWLJkCaZMmYKHHnoIx48fR2lpKWpqavDSSy9BpVL5PNbs2bP9+n6mT5+OGTNm+LUu0eUIJRF9jWQH86EYjpEwIuo8TCaTWBlKes8KR9DseW9k4E5KJztQF0RHR6Nfv37o169fMM4nKHJzc/HKK69g5cqVmDp1KpxOJ8rKysSa7kLwDgAulwsOhwOzZs3ClClTAABDhw5FTEwMVq1aBbPZjOHDh/s8VnFxsV+dSTmaTsF0uYD5coF8e4RrJIyIOgdhortGoxEnkOr1+pDdWzzn8kjvjby/kdLJmky6fPlyrFixAmfPnm1zve3bt2P58uWyTiwpKcnrqLmwTBhZ90an0yEvLw+7du1Cfn4+fvWrX+H06dO49957AUBMe5Hu58Ybb3Tbx09/+lMAwIkTJ9o8T7Va7dd/DNQplDxrFwciVBO/iCjy+SrJKK0eJQTroZxUKm26JNwbfY30EymJrBH1HTt2QKVSYe/evZg3b544oc3Tl19+iQ8//BC/+93v2n2MzMxM7N69G83NzW556jU1NQCAjIyMNrfX6/WYNGkSzp49i8TERPTq1QsrVqxAQkKCW8nIzMxMHDt2rNX2QmnGttJeiMJFOpm0o3PFme5CRP7yNkIt3EOkaSbS5R1Nmqfu+bXFYkFqairvcaRYskbUAeDqq6/GhQsXsGjRIq+T2QJ1yy23wGazYe/evW7Ld+zYgZSUFPTv3/+y+4iNjUVGRgZ69eqFuro67NmzBxMmTHDrqHrrrbcCgDghVrB//34AwIABAwL9VoiCTngYlpeXt6pTTEQULsLotdBwzWQyiaPsAIL2pq+9vNV012q1iIqK8jnYSKQEsgP1IUOGoLCwEElJSVi1ahVWrFjRZm3z9ho5ciSGDx8Oo9GIbdu24fDhw1ixYgUOHDiA2bNni6PsR44cwaRJk1BWViZuW1NTg7KyMnz22Wc4dOgQNmzYgCeeeAK9e/fGzJkz3Y5z4403YtSoUXjrrbewbt06HDp0CO+88w7WrFmDm266CUOGDAna90QULELN9Li4OK+vbX115JND2NeCBQtaPXhZl5iIpITUErPZLAbG3oLkUPOWZmM2m+F0OmE2m8N2XkSXE9Bk0gEDBmDp0qVYvHgxysvL8fXXX+P3v/+92B44UPPnz8eaNWtQWlqKxsZGpKenY+7cuRg7dqzbek6n062LaExMDMxmM7Zs2QKbzYaePXvizjvvhF6vd6utLigoKEBZWRk++OADlJWVISUlBZMmTWLDI1IsYSKWxWJBcnIyACA7OxsOhwNxcXFwOByw2+0wGo2yR6+E19QNDQ2w2+1iOUjhYcsJWETkzYIFC/Dtt98iISHBbdJmqPPA26pYxfx0ihQqlzTC9dPEiRPx85//XMw9dzgc+POf/4xPPvkEV199NRYuXIiMjAwsW7YMH374ITZt2hT0Ew83q9WKqVOnYt26dX5VfSEKNmmeenl5OZxOp/iZSqWCy+WCRqPBzp07Ze0/NzcXtbW14r6AlopJOp0OFRUVAFrqqjNQJyKpUaNGieWR9+3bF7bzEO5hqamprVJ02/qMqKO1J4aUnfoiFRcXh3nz5mHGjBmoq6tDQUGB+CAnoo4hfcXsdDqhUqmQkJAAjUaDCRMmIDU1FVlZWa3SVvwlvCqeMGECNBoNNBoNCgoKYDabYbFYoFarGaQTUSs6nU78oz6c2qoqw2pWFCmCMqIuVVFRgT//+c+4cOECkpOT0dDQwBF1og7UVsMOYdQoKioKTqcz4NEjk8kEo9EIgKPpREREcrQnhgy44ZGnrKwspKam4oUXXsB3333X6csbPvnkk24NlAAgJycHOTk5YToj6mraKnGWn58Po9Eo5q77O3rkK/hnOTMiigTsOEqdhaxAffHixejevbvPz3/yk59g6dKl+OCDD9zyZjujpUuXckSdFEf6kFKr1eKkU38fWEKVhqKiIgD/rTsczI6nREQdwWQyoaioCE6nkxPeKeLJylEfOnQo0tPT21znyiuvxNSpU1k5hSgEPMslSsuhSWsF+1tWMT8/HyqVCk6nU0x1AYLb8ZSIupZQlXUtKSkRJ7NyUIEiXVAmkxJReHnWKZZOlJLWCva3nrFer0dSUlLHnzgRdRmhqqcu3P90Oh1KSkrY74Eiml+pL8uXL4dKpcIDDzyA7t27Y/ny5X4fQKVS4bHHHpN9gkR0eZ4pKdKW3Z61gv1NXTEYDG7resv5ZB4oEfnieX8Q7lNC19KOum8I9z9hMr00/UWYEC/M2+GkeFI6v6q+TJw4ESqVCkajEWlpaZg4caL/B1CpWPWFKISkD0dhBEtOtRfPh6y3usOsRUxEvvi6P4TqvuFtIEE4toD3LgqHoFd9Wbx4MQCgZ8+ebl8TkfJIXy8HMvlTuh/paJh0X1qtFnV1ddBqtcH7BoioUxCqTjU0NCA7O1scvQ7VpHRvFbHkVsIiChdZddSJI+qkXMFKR7ncfqSVFTgqRUTeSEewhXkzTJejri6sddSJKPQ8g+pgPAB97Uc4ltVqZWUFImqTMIIt/NvzTR0RtY1VX4g6AV/VFNpbDs1kMiE7OxvZ2dk+txGOBbSMkBUUFPCBS0Re6fV67Ny5Ezt37hTTXoSR9VAKVWlIomDza0R9wYIFAR2kM+e0szMpKYGvagrSAP7gwYPYvn07oqOjoVarvVY7EDqPCv8WKsd4q9zAV9dEFCk4kk+Ryu+qL7IPwKovRCHjWU1BKEUGAI2NjZD+unvLK5euLwTyrOxCRHK0VXUllPcTb/c1onAKeo76a6+9FpQTI6KO5a2eujCSlJCQgAsXLogj6t5ePfuqkiDsU/rgBcCRdSLyydsodqgqvnieh8ViQWpqKgB0aA13omBj1ReZOKJOkSKYTYmko2EAONJORD75e+8J5j3K2+h5sHpLEAVLe2JITiYl6kS8TQbV6/XYunWrXw9AzwlXnl8LE8G0Wm2rjqdERFJt3Xuk9yqj0eh1Mrwcwui5xWIR9yc9j3BNZiWSi4E6UScgBNRGo7HVQ6o9PKvHeH4tPPDMZjMsFgvUajVfHxNRu0kDagBBC57z8/Oh0Wh8DiK0Z+CCSAlk11G32+3YtGkTPv30U3zzzTew2Ww+1+2Mk0mJlEQIqIUHFABZDz3P6jEpKSli51Hh9TFH04koUNIOocLXHdn/gShSyRpRP3/+PObOnYs333wTp06dQnNzM1wuF5KTkwEALpcLLpcLPXr0QI8ePYJ6wkTUmjCKBLTkZQo1iwX+1hCWjpjX1taiqqoKTqcTZrNZ/GOgvLyco+lEFBChvnpycrLsN4DtwTrqFKlkBeomkwk1NTW44447sG7dOtx6661QqVRYvXo13nnnHTz++OPo3r07BgwYwIoxRCGg1+uhVqvdHnjSB5MQZBuNRr8eVkIep06nE19Je1tGRCSHcH/SarUdej+RpgUKaXwM2imSyArUP/30U6SkpGDOnDmIi4uDSqUSP4uLi0N2djb++Mc/oqKiAhs2bAjayRKRb56TpKT55cJnANo1aWvEiBFiOgwAbN26FYsXL2aOJxG1m7fBA7PZ3KH3E89OytLKLx09ik8UDLJy1Ovq6jB8+HDExLRsLnTmvHTpkrisT58+uOGGG7Bjxw7cd999QTpd5WFnUlIKz9xMzw6inmXK2uL5IGNHPyIKlDDZ3Wg0wmAweO2mHCxCmUaHwwGNRtOq0VGoa7kTySUrUI+Li0NsbKz4dWJiIgDghx9+QM+ePcXlSUlJqKysDPAUlW3p0qWso06KdPDgQdTV1eHgwYMA/vtgko6Qe+axe64jPMiMRiOsVitMJhODdSIKmDB4IPRmMBqNQe0eKlSVAYDk5ORWAxW+7oNESiMr9aVHjx6oq6sTv05PTwcAHD16VFzW3NyM48ePIykpKcBTJKL2EF4vb9++HU6nE+Xl5WJ+ptFo9PnaV5rH7jkS75n/TkTUXgaDQZz07tmbAUBApWU9eSvTKL33Mf2FIoWsQH3IkCGoqanB+fPnAQCjRo1CdHQ0/va3v+Ef//gH9u3bhxdffBF1dXW44YYbgnrCRNQ24QEUHx+PqKgoDBw4EI2NjeLnvhp+CMsdDocYsF9uGyIiX6Q56cJoNoBWzYiE+0pCQkLQyr4KVWWkFbCk9zHe0yhSyEp9GTNmDP7973+jqqoKP/3pT3HVVVdh1qxZeOONN/B///d/AFpKNHbv3p2/BEQh5pmbnpubC5fLhaioKLdXytIHpfSVsNFohN1uh8ViQXZ2NgwGQxi/GyKKVN7mumg0mlYBspCmkpqaiq1bt3bY+XjO42HKC0UClcvlcgVrZ8eOHUNFRQWampqQlpaG8ePHB5T6YrPZsHbtWuzZsweNjY1IT0+HXq/H2LFjL7ttdXU11q5di6qqKrhcLvTr1w8zZ87E4MGD29xu27ZtWLFiBRISEvDOO+/4XM9qtWLq1KlYt24dc9RJ0aRBuPBgEvJChQej8HVUVBR0Oh3Ky8vhdDoBwK1aTEc/SImo8/CcvO55H/K2XrCDZ2/77sjjEfmjPTFkUAP1YPvDH/6A48ePIy8vD2lpafjoo4+wfft2PPXUU7jtttt8blddXY1nnnkG/fv3x6RJkwAA69evx1dffYXCwkIMHDjQ63bff/89fv3rXyM+Ph5Wq5WBOkWsyz2IPD83mUwoKiqC0+kUR7ukE7sA3w9ZIiKl8hyU8LWMKJTaE0PKylEPhf379+PQoUN49NFHceedd2LYsGH47W9/i+HDh6O4uBjNzc0+ty0tLUW3bt2waNEiZGVlISsrC88//zwSExPxxhtv+Nzu1VdfxZAhQzB8+PCO+JaIQkY6edQboQMp0PLQAoCCggIxSPfM7/Rcn41CiEiJPJsZectFZ346RZKAAnW73Y6jR4/i448/Fh/q3v6To6KiAomJiRg9erTb8vHjx6O+vh7V1dU+t62srMTQoUORkJAgLlOr1RgyZAgqKytRX1/fapsPP/wQR48exaOPPirrfIkigedDTJpDKgTjbY2Ys1ICEQXKZDIhOzsb2dnZQf+j33OQQnpfE+5/ANi0jSKGrMmkLpcLpaWl2Lx5My5cuNDmeiqVCtnZ2e0+Rk1NDdLT0xEdHe22PDMzU/x80KBBXre9ePGiW513gbDs1KlTSElJEZc3NDRg1apVyMvLQ48ePdp1nlar1a/1YmNjvZ4TUUcQmol4jhgJgfaSJUtw8ODBVvXSgbbTZrytT0TUHtIa56FspCbc/4qKigBwMilFBlmB+ltvvYW3334bMTExuPnmm9G7d2+30etgaGxsFCexSQmTU6Xl5jz16dMHx44dg9PpFLuGNjc3i6Pwntv+9a9/RXp6Ou666652n+fs2bP9Wm/69OmYMWNGu/dPJIdndQNBfn4+lixZAgAoLy/H4sWL3UaaPNtre06+0mq1If0+iKjzkc6BCfYf/QaDQdy3Z4M2rVaL2tpaOJ1OdlqmiCErUN++fTvUajVefvllXHvttcE+p4Dl5ubilVdewcqVKzF16lQ4nU6UlZWJTZqE4B0APvnkE+zbtw/Lly+HSqVq97GKi4v9mkzK0XQKtwULFqC8vBwajQYWi8VtUrW31t6e5dNqa2tRV1fHhxwRBcTXQEKw9u1tsAEAzGYzgJYYgG8FKVLICtQtFgtGjBjRoUF6UlKS11FzYVlbZR91Oh1+/PFHvP3223j//fcBAAMHDsS9996L9evXi2kvNpsNK1euRG5uLlJSUtDU1AQAuHTpEgCgqakJMTExbb4tUKvVrPpCimUymcTRpcbGRrhcLvGVc319vThS7nA4AAAOh8Nr2osw0q7VamE2m/mQIyJFkabs+UrR8+wxQRQJZAXq11xzDWw2W7DPxU1mZiZ2796N5uZmtzz1mpoaAEBGRkab2+v1ekyaNAlnz55FYmIievXqJdZH79u3L4CWPzgaGhqwceNGbNy4sdU+pk+fjptvvhkLFy4M4ndGFDrSXNCEhATY7XYALSNKWq1WLMmoUqnE1t5tpb0IQTofckTkr1DULZeOogsVqqRN3YT/5b2LIo2sQP2uu+7C66+/jtOnT3fYqPott9yCbdu2Ye/evRgzZoy4fMeOHUhJSUH//v0vu4/Y2FgxoK+rq8OePXswYcIExMfHAwC6d++OwsLCVtuZTCYcPXoUixYtEoMXokik1Wrx7bffIj4+Ho8//jiA/9ZDNxqNYlMjl8uFpqYm6HQ6MRgXHq5WqxUWi4VpL0TUbtIeDR157/AcRfeV/kIUaWQF6nfeeSdOnz6NZ599Fg888AC0Wi2uuuqqoJ7YyJEjMXz4cBiNRlitVvTu3Ru7d+/GgQMH8NRTT4mj7EeOHMHChQsxbdo0TJ8+HUDLqPvevXvRt29fxMbG4uTJkzCZTOjduzdmzpwpHiMuLg5Dhw5tdex//vOfiIqK8voZUSQxm81wuVxITk52e1gJAbiU0+lERUWFmMolPOiElt9MeyGi9iopKRHf2lmt1lYTPIPFc7ScFaqos5AVqAPAL37xC5jNZixfvvyy627atEnWMebPn481a9agtLQUjY2NSE9Px9y5czF27Fi39ZxOJ6QNVmNiYmA2m7FlyxbYbDb07NkTd955J/R6fdCr0xApmbeHlRCAe06eTk1NhdVqFUehPPM5TSaTOBmLiMgfwn1EeDPXkSPcnik2HEmnzkDlkka4fqqqqsKzzz4Lu90OlUqFpKQkMZ3Em9dffz2gk1Si9rR/JQonz4eXNOd827ZtAFry1/fs2dNmLinbbhORHNJJ7QaDocMCaN6jKFK0J4aUNaJeXFwMu92O6dOnY9KkSQxUiRRMGEE3Go1iEC48xEaMGCEG7bm5uW3WSeerZCKSQ5jUnpqa6hakB3uSKe9R1BlFXX6V1k6ePIkBAwZg+vTpDNKJFC4/P19sHiaktSxYsAA33XQTli1bhvz8fJjNZtTW1mL79u1u7bcBsO02EQVEuAcJAbRwTzEajeI9KRC8R1FnJiv1ZdasWRg4cCDmz5/fEecUEYTXFmlpaW4NlAAgJycHOTk5YTozIu+Ehkc6nQ7bt28X53UID1Ch6RHQkgqTnJzs1qmUr5OJKBiEFBWNRgO1Wh3wiLqwv6ioKBQUFDBQJ8Xr8NSXkSNH4uDBg7h48WKX77i5dOlSvlWgiGA2m+F0OmE2mxEdHS029qqrq8OSJUvE32WVSgW73Y7a2losW7YMcXFx0Gg0fJ1MREER7MZD+fn5bZaADFWOPFFHkJX6kpeXh9jYWCxfvrxViTciUgbhdbDJZILJZEJDQwMAoKGhATExLX+jq1QqsZb6xYsXodFo3Lr+XrhwARaLBWq1mg83IgoKvV4f1BQVvV6PgoICt/QaKSFHXqg6QxRJZI2ol5SUICMjAx9//DE+//xz9O3bF1dddVWrcm9ASyDw2GOPBXyiRNQ+QiqL0WiEWq0Wu5La7XZoNBrExcXB4XDgwoULYhqM8BpaGH3Kyspi7XQiUry2yjFK72m8l1GkkRWo79ixQ/z3+fPn26ytzECdKPyEB5XD4UBcXBwMBgOMRqNYYhUAoqKiWH+YiDod3tMokskK1BcvXhzs8yCiIDMYDG6lytRqNQwGA4CWt2IOhwMAxB4IdrsdS5YswZ/+9Ce3dZnbSUQdQdrTQXhzJ/ceE+xSj0RKIavqC7HhEUUOk8kkTrSSlmlMSEiAw+GATqdDeXm5mKsukK4rfM2qL0QULNJqLcL9Se49hs2OKJK0J4aUNZn0d7/7HZYsWSLr5IgotEpKSuB0OsXUFqGmcVxcnFgFRqfTievHxMSIVV60Wi1UKhUSEhKY20lEATGZTMjOzkZ2djZMJpN4L9LpdD4ngvqzT6FZm9x9ECmZrNSXr7/+Gunp6cE+FyLqAEIpNK1W69aZVChZ1tDQgIqKCjzzzDPQ6/XiciHlxeVyITk5ma+TiSggQvUV4d+BVn6Rvi0EwJF06pRkBerXXHMNGhsbg30uRNQBhIlUwqthaRAOtOSm2+12vPTSS1i2bJlbFRiNRsNRKiIKimBXX/F8W0jUGckK1HU6HYqLi3H69Glce+21wT6niPLkk0+yMykpmnTCFtCSGyftQKrRaNDY2AiXyyWWcBQ+4wRSIgoWYdBAuCcJy+Tyt3ESJ5pSJJM9mfTVV1/Fp59+ismTJ2PUqFHo2bNnl+pSysmkFCk8J1mZTCa89NJLcLlc0Gg02LlzJ0wmE5YtW+YWqHNSFhF1hFBP/OREU1Ka9sSQskbUJ02aBKAld7W4uBjFxcVtrr9p0yY5hyGiIJCOOgH/HcHyXFZSUoLa2lpoNBqo1WpotVrk5uZyFIqIgsrzntTZjkcUTLKqvvTo0QM9evRAz549xX+39R8RhY+/7bqFCgwGgwFbt26F2WxGbW0tW24TUdB4pqEIVVtMJpPs/XnbXli+YMECt8n0co9DFC6soy4TU18okvnzKph5nUQUbNJ7T35+vluPB39zzn3tT3ovy87OhsVigUqlgsvlEv9XSPcjCqcOr6NORJFNGD1v61WwvyPxRET+kt57PKu2COl37XmL5+1eZjKZxMp08fHxSE1NFTswE0UaWTnq3litVqhUKiQmJgZrl0TUQYTqC0REoeR575HmjlutVrHZmpz9CW8BrVYrXC4XoqKi8PjjjwMAjEYj4uLiYDAYgva9EIVCQIH6559/ji1btqCyslKsFhEfH48hQ4YgNzcXP/3pT4NykkRERNS5SCe2C2VjU1NTZQ8iSCfEC6PsQg+JQPdNFC6yU19ee+01PP/88zhw4ABsNhsSExORmJgIu92Ozz//HM8//zxee+21YJ4rEQVZoBO5iIgCIQTXQEtJWKHalJx7kueEeKAlh12r1bJxG0UsWSPqH3/8MTZv3owrr7wSU6dOxe23345u3boBaHl19eGHH2LdunXYsmULBgwYgDFjxgT1pIkoOKQ5oRxpIqJQE3LTtVotzGYzKioqYLFYZN2TvKXVCH8EsH46RSpZgfp7772H2NhYLFmyBGlpaW6fqdVq5OTkYPjw4Xjsscfwj3/8o1MH6uxMSpGM9YWJKJyE4Fqo3pKQkCA+U0eNGgWdTofFixfL2jfvb9QZyArUT506hWHDhrUK0qXS0tIwbNgwVFZWyj65SLB06VKWZ6SIxUmlRKQEQlBttVpht9vFkfDy8nLZgTrvb9QZyMpRv3jxIhISEi67XkJCAi5evCjnEERERNRJec6PEcrBGgwGaDQaxMTEQKVSQafThflMicJLVqDeu3dvHD16VKz04o3dbsfRo0fRu3dv2SdHREREnY/RaERtbS2MRqPbcr1eD7VajUuXLuHqq6+WPZpO1FnICtRHjx6NH3/8ES+++KL4ekrqm2++wYsvvgiLxdKp89OJiIgouPxpyObJVwUrVraiSCcrR/3ee+/Fv/71Lxw8eBCPPPII+vfvj169ekGlUuHbb79FdXU1nE4n+vbti3vuuUf2ydlsNqxduxZ79uxBY2Mj0tPTodfrMXbs2MtuW11djbVr16Kqqgoulwv9+vXDzJkzMXjwYLf1zGYzdu3ahcrKSpw7dw7dunVDv379MG3aNPTt21f2uRMREZE7oSlRVlYWzGaz12C8Pbnl0iZH3qrFsLIVRTpZgXp8fDwKCwvx97//HeXl5aiqqkJVVZX4eVxcHHQ6HWbNmhVQ297CwkIcP34ceXl5SEtLw0cffYSXX34ZTqcTt912m8/tqqur8cwzz6B///544oknAADr16/HwoULUVhYiIEDB4rrvv/++2hsbMTEiRNx7bXXwmKxYMOGDXj66afx3HPPQavVyj5/IiIi+q9gl0z0bHIk1GEXmh2x8gtFOtmdSRMTE/Hwww8jLy8PJ06cQH19PQAgJSUF119/vV+TTduyf/9+HDp0CE8//TTGjRsHABg2bBjq6upQXFyMMWPGIDo62uu2paWl6NatGxYtWiSeh1arxUMPPYQ33ngDRUVF4rqPPPIIkpOT3ba/8cYbMWfOHLzzzjsM1ImIiILEV+AsjIwLAbac/UnLPJaUlACArH0SKYnszqSChIQEDBkyBGPGjMGYMWMwZMiQgIN0AKioqEBiYiJGjx7ttnz8+PGor69HdXW1z20rKysxdOhQt/NQq9UYMmQIKisrxT8qALQK0oGWP0L69OmDc+fOBfx9EBERUQuhuotn4CxNUQlkf9L8drn7JFIS2SPqHa2mpgbp6emtRs0zMzPFzwcNGuR124sXLyI2NrbVcmHZqVOnkJKS4vPY58+fx4kTJzBs2LDLnqfVar3sOsKxvZ0TERFRVyOMoAsdSVNSUlBXVxfUt9hMe6HOwK9Aff369QEdZPLkye3eprGxEampqa2WJyUliZ/70qdPHxw7dgxOp1PscNbc3CyOwre1LQCsXLkSdrsd999//2XPc/bs2ZddBwCmT5+OGTNm+LUuERFRZyaMdtfV1cHpdIr/azabg7LfkpISryP3RJHGr0B99erVUKlUfu3Q5XIBgNv6cgL1QOTm5uKVV17BypUrMXXqVDidTpSVlaGurg4AxODdm7Vr12LXrl14+OGH/ar6Ulxc7FdnUo6mExERtRBGu4URdeF/2zv67ZnbLh1FN5lMYp12g8HAoJ0ikl+B+rRp0/wO1AHghx9+wM6dO+FwONq1nVRSUpLXkW9hmTCy7o1Op8OPP/77LhOOAAAd+0lEQVSIt99+G++//z4AYODAgbj33nuxfv16n2kvZWVlWLduHR544AHk5ub6dZ5qtdqvQJ2IiIhatKcEY1uEEXShSIR0v7m5ubBYLOJ6DNQpEvkVqPubsmGxWLB+/Xrs2rULDocDCQkJuOuuu2SdWGZmJnbv3o3m5ma3PPWamhoAQEZGRpvb6/V6TJo0CWfPnkViYiJ69eqFFStWICEhwetIeVlZGd58803MmDHDr5QXIiIiCh45lV/y8/NRVFQEp9PZKhjPz88XR9SZp06RKuCqL0DLKPfq1avx4IMPYuPGjXC5XLj33nuxatUq2b8ct9xyC2w2G/bu3eu2fMeOHUhJSUH//v0vu4/Y2FhkZGSgV69eqKurw549ezBhwoRWtd3feustvPnmm5g6dSqmT58u63yJiIiobW11Cm1PlRZhPwBQUFDgtZOpXq/Hzp07sXPnTo6mU8QKqOpLU1MT3n33Xbz33nuw2WyIi4vDxIkTodfrceWVVwZ0YiNHjsTw4cNhNBphtVrRu3dv7N69GwcOHMBTTz0ljrIfOXIECxcuxLRp08Qgu6amBnv37kXfvn0RGxuLkydPwmQyoXfv3pg5c6bbcTZs2IDS0lLceOONGDlypFvjJgBuzZGIiIhIvrY6hbanSgsnjVJXIStQb2pqwsaNG7F161bYbDbExMRg4sSJmDx5Mrp37x60k5s/fz7WrFmD0tJSNDY2Ij09HXPnzsXYsWPd1nM6neIkVgCIiYmB2WzGli1bYLPZ0LNnT9x5553Q6/Wtarzv27cPAHDgwAEcOHCg1Tls2bIlaN8PERFRV+YtGJemvPjbrVSr1Qa9nCOREqlc0gj3Ms6fP4+NGzeKAXBMTAx+8YtfQK/XBzVAjwRWqxVTp07FunXrOJmUiIjIT57VWITR8dTUVL8DdaEDqbCNNNgH2JGUlK09MaRfI+pWqxWbNm3Cpk2bYLVaERsbi7vuugtTpkxps3EQERERkVRJSYlbNRY5jYmEiaJWq1UM0qX57b7Sa4gijV+B+v/7f/8PVqsVMTExyMnJYYBOREREsnhWY5FTqlGv17sF557BPjuSUmfhV+rLxIkToVKpoFKp3Eol+nUAlcrr7O5IJ7y2SEtLa9VAKScnBzk5OWE6MyIios5PTjlHIiUIeuoL0NJx1OVywel0BnyCncnSpUuZo05ERCRDIMG2t5F4YX/STqcM4imS+RWob968uaPPg4iIiLqYtso1BrK/uro6r02QiCJNUBoeEREREbVXfn6+12ZFge5Pp9MFdb9E4RJQwyMiIiIiueRMJA3l/ojCjSPqREREFHYmkwm5ublYsGABcnNz21WIQtjWZDK5/Zso0nFEnYiIiMJCOpn0cvnlQqMkh8OBuLg4GAwG8XNvddSLiooAgCPsFNE4ok5ERERh4VkLva38cqFRkt1uh8ViEYNywD3XPT8/H1FRUWKwTxTJOKJOREREYSHtMAoAW7dubXPdl156CS6XCyqVyi2Q95abzqZH1BlwRJ2IiIjCQq/XQ61WiyPkbeWX6/V6zJs3D6mpqZg3bx4AtLnu1q1bmfZCEc+vzqTUGjuTEhERBU7apKi8vBxOp1NMY2mrGVJubi5qa2uh0WigVqvZ3IgiRns6kzJQl6k9P2QiIiJqmxB4R0VFoaCgQMxfT01N9ZoSIwT4VqsVFovF53pEStOeGJKpL0RERBRynmkuwoTQgoIC6PV68WutVus1xUVIbzEYDG2uRxTJGKgTERFRyHmWVJTmlQulGK1WKyoqKtzWEwiBPtAyCdVsNntdjyiSMVAnIiKikJOWVPQklGK0WCxobGyERqPxWq5RGphfbgSeKBIxUCciIqKQE9JbSkpKWnUjzc/Ph0ajgUqlgsvlglqtbjVR1Feg72sEnigSMVAnIiKisBBGxcvLy1FbWwuj0Sims+zcuRMTJkxAVFQUtFotAPe8ds8SjMK+APgcqSeKNAzUiYiIKORMJhOsVis0Gg0GDhyIqKgoOBwOt4C9oqICTqcTZrMZQOt0FylhFF74N0s1UmfAQJ2IiIhCTshDV6vVOHPmDJxOJ4CW0XAAbqPjQt65VqttNVounVQqbZ5E1BkwUCciIqKQk07+bGxsBADExcW5lVw0GAxuFV3MZnOrjqPSUfa2JqgSRSI2PJKJnUmJiIgC59noCECrjqRCcyMhAJd+Lv2M6S4UCdiZNATYmZSIiChwQqCt1WphNpsv22k0OzsbFosFKpUK8+bN8xrMM2AnJWNnUiIiIooIQvUWIb3F4XAgKioKKSkpbdZDd7lcbrnobU00JYpUDNSJiIgo7IT88ri4ODidTlRVVblVgBECdoPBAI1G06oJklD1xWq1stkRdRpMfZGJqS9ERETB195UGCkh392fdYnCpT0xZEyIzkkWm82GtWvXYs+ePWhsbER6ejr0ej3Gjh172W2rq6uxdu1aVFVVweVyoV+/fpg5cyYGDx4c1OMQERFRcFmtVlRUVMBgMACAGLgLJRrNZrPXiaVCp1NWfaHOQtGBemFhIY4fP468vDykpaXho48+wssvvwyn04nbbrvN53bV1dV45pln0L9/fzzxxBMAgPXr12PhwoUoLCzEwIEDg3IcIiIiCh6TyYSioiKxpro06K6oqIDFYkFdXR2cTqeYiy7kpev1evE/os5CsYH6/v37cejQITz99NMYN24cAGDYsGGoq6tDcXExxowZg+joaK/blpaWolu3bli0aBESEhIAAFqtFg899BDeeOMNFBUVBeU4REREFDgh3cVqtcLpdEKlUiEpKQkpKSlYsmQJAECj0SA1NRUpKSmoqqqCVqvFiBEjYDQa0dDQgOzsbBgMBgbq1KkodjJpRUUFEhMTMXr0aLfl48ePR319Paqrq31uW1lZiaFDh4pBOtDSrWzIkCGorKxEfX19UI5DRERE8gldRY1Go1sn0nnz5mHnzp2oqqoS1xWaH9XX18PpdMJsNotBud1uZ0dS6pQUG6jX1NQgPT291Wh2Zmam+LkvFy9eRGxsbKvlwrJTp04F5ThASx6dP/9dvHixzf0QERF1NUJJRaAlQM/KynL7XKfTISoqCnfccYcYlPvqPqpSqZibTp2OYlNfGhsbkZqa2mp5UlKS+Lkvffr0wbFjx+B0OsWuoc3NzeLouHTbQI4DALNnz77Md9Ji+vTpmDFjhl/rEhERdQXSyZ96vV6s2mI0GsXlI0aMQElJCRYsWCBOIpVWdDEYDGx0RJ2WYgP1QOTm5uKVV17BypUrMXXqVDidTpSVlaGurg4AxOA9GIqLi/0qz+hthJ+IiKgr85z8KQTuVqvVrXlRbW1tq0mk0uCcATp1VooN1JOSkryOZgvLhBFvb3Q6HX788Ue8/fbbeP/99wEAAwcOxL333ov169cjJSUlKMcBWnLfWUediIgocELQbTKZsGzZMtTW1iImJgYajQZqtRq1tbVISUmB0WiExWKB0WgEACxbtgwXLlzAhAkTsHjx4jB/F0TBo9gc9czMTJw5cwbNzc1uy4Wc8YyMjDa31+v1KC0txYoVK/D666/j5ZdfRlNTExISEtC3b9+gHYeIiIiCS6/Xw+FwAAAuXboEAGIu+5dffgmLxSKuW1JSArvdDpfLhfLy8tCfLFEHUmygfsstt8Bms2Hv3r1uy3fs2IGUlBT079//svuIjY1FRkYGevXqhbq6OuzZswcTJkxAfHx8UI9DREREwSXteSINzAUqlQpAS/nlhIQEqFQq6HS6kJ0fUSgoNvVl5MiRGD58OIxGI6xWK3r37o3du3fjwIEDeOqpp8QqLUeOHMHChQsxbdo0TJ8+HUDLaPjevXvRt29fxMbG4uTJkzCZTOjduzdmzpwp6zhERETUcYRa6kLnUavV6nU9lUqF+Ph4XLhwARaLBdu2bUNCQgLmzZvHXHXqdBQbqAPA/PnzsWbNGpSWlqKxsRHp6emYO3cuxo4d67ae0+mEy+USv46JiYHZbMaWLVtgs9nQs2dP3HnnndDr9W611dt7HCIiIuoYQqlGYdKoRqOBRqOBw+FAXFwcsrKyxKov0rKOQEsddaE7KVFnonJJI1zym9VqxdSpU7Fu3TpOJiUiIgqQ54i6tNyiyWQSJ44aDAYAECeUCp555hkG6hQR2hNDKnpEnYiIiLoGX2UWTSYTioqK4HQ6AbQE6Gq1WpxsqlKpmPZCnZZiJ5MSERFR12IymZCbmwuTySQuKykpEYP0mJgYWCwW1NbWwm63A2gpo8wgnTorjqgH6Mknn2zVQCknJwc5OTlhOiMiIqLIJOSeC/nmJpPJbVKptJRyQkICkpOTkZ+fH4YzJQoNBuoBWrp0KXPUiYiIgiA/P1+swrZgwQKUl5fD6XRCpVLB5XIhPj4ecXFxAFpy1TmSTp0dA3UiIiJSBL1eL46qC0F6VFQUdDpdqwmmRF0BA3UiIiJSDGFUXSjLyJFz6so4mZSIiIgUQ6/XQ61Ww263o6mpCQcPHmw1wZSoq2CgTkRERIqSn5+PqKgoOJ1OlJeXixNMBd6qwxB1RgzUiYiISFH0ej0KCgqQmpoKnU6H1NRUt+ou0uowRJ0Zc9SJiIhIcXw1QAIArVaLuro6aLXaEJ8VUWgxUCciIiLFM5lMMBqN4tdOpxNmszmMZ0TU8Zj6QkRERIpXUlICi8UCi8UCAK3SYYg6I46oB4idSYmIiDqeULYRYLMj6joYqAeInUmJiIg6Xls560SdFVNfiIiISLFYipG6MgbqREREpFgsxUhdGQN1IiIiUqz8/HxOHKUuiznqREREpFjMTaeujCPqREREREQKxECdiIiIiEiBGKgTERERESkQA3VStIsXL+LNN9/ExYsXw30qFGS8tp0Xr23nxuvbefHaKg8D9QA9+eSTMBgMbv+999574T6tTuPixYsoKyvjTaMT4rXtvHhtOzde386L11Z5WPUlQOxMSkREREQdgSPqREREREQKxECdiIiIiEiBGKhHoHDlwHel3Puu9jPuStcW6Ho/5650fbvaz7grXVsgPN8vr21o8OfsnaIDdZvNhlWrViEvLw/33XcfHnvsMezevduvbU+cOIEXXngBeXl5mDx5Mh555BGUlZXBbrcHtK4S8P/MHa+r/Yy70rUFut7PuStd3672M+5K1xZgoN6Z8efsnaInkxYWFuL48ePIy8tDWloaPvroI7z88stwOp247bbbfG73n//8BwUFBUhLS8ODDz4IjUaDL774Am+99RZOnDiBhQsXylqXiIiIiChUFBuo79+/H4cOHcLTTz+NcePGAQCGDRuGuro6FBcXY8yYMYiOjva67UcffQSHw4Hf//736N27NwBAq9Wivr4e27ZtQ1NTE6644op2r0tEREREFCqKTX2pqKhAYmIiRo8e7bZ8/PjxqK+vR3V1tc9tY2Ja/v7wLJt4xRVXICoqSvy8vesSEREREYWKYqPQmpoapKentxo1z8zMFD8fNGiQ122zs7OxadMm/PWvf0V+fj40Gg2OHj2KDz74AHfddRcSEhJkrSvlcrkAAN9//z2sVutlv5/Y2FjExsb6861fltPp9OuYwRaO4wrHC/Vxu9LPOFzHDde1BbrWzzkcx+W17dzH7WrXl9c2NLriz1mIJduicvmzVhg8/PDDSE1NxXPPPee2vL6+Hnl5eZg1axamTJnic/vTp0+jsLAQZ86cEZfdfffdeOihh6BSqWSvKzh37hxmz54t51sjIiIioi6uuLgYPXr0aHMdxY6oB+Lbb7/FH//4RyQnJ+OZZ57BlVdeierqaqxbtw52ux2PPfaYrHWlUlJS8Le//Q0xMTE+g3mpYI6oExEREVFkcrlcsNlsSElJuey6ig3Uk5KS0NjY2Gq5sCwpKcnntqtXr4bNZsMrr7wipq7ccMMN0Gg0WL58OW6//XYMHTq03etKRUVFiZNPiYiIiIj81a1bN7/WU+xk0szMTJw5cwbNzc1uy2tqagAAGRkZPrf96quvcO2117bKL+/Xrx+AlpKMctYlIiIiIgoVxQbqt9xyC2w2G/bu3eu2fMeOHUhJSUH//v19bnvVVVfhP//5D2w2m9vyqqoq8XM56xIRERERhUr0okWLFoX7JLy55pprUFlZiW3btiEpKQlWqxXvvPMO9uzZA4PBgOuuuw4AcOTIEcyZMwcAxBSVK664Av/85z9x+PBhJCYmoqGhAbt370ZpaSl69+6NX/3qV2I1mfasS0REREQUKoqt+gIANpsNa9aswZ49e9DY2Ij09HRMmTIFY8eOFdc5cuQI5s+fj+nTp2PGjBni8sOHD8NkMuHUqVM4f/48evbsiZtuuglTpkyBRqNxO0571qWOZbPZsHbtWrdrrtfr3a65v7Zt24YVK1YgISEB77zzTgecLbVXINfXbDZj165dqKysxLlz59CtWzf069cP06ZNQ9++fUNw9gQEdg2D+ftNwSf3+vB3U/mC9bvH52roKTpQp67nD3/4A44fP468vDykpaXho48+wvbt2/HUU0/htttu83s/33//PX79618jPj5efBtD4RfI9V2yZAkaGxvxs5/9DNdeey0sFgs2bNiAf//733juueeg1WpD8010cYFcw2D9flPHkHt9+LupfMH43eNzNTwUW/WFup79+/fj0KFDePrppzFu3DgAwLBhw1BXV4fi4mKMGTPG7zSkV199FUOGDMEVV1zRap4DhUeg1/eRRx5BcnKy27Ibb7wRc+bMwTvvvMNgIAQCuYbB/P2m4Avk+vB3U9mC9bvH52p4KHYyKXU9FRUVSExMxOjRo92Wjx8/HvX19aiurvZrPx9++CGOHj2KRx99tCNOk2QK9Pp6BgIAkJiYiD59+uDcuXNBPVfyLpBrGKzfb+oYgVwf/m4qWzB+9/hcDR8G6qQYNTU1SE9Pb/WXfWZmpvj55TQ0NGDVqlXIy8u7bLcvCq1gXF9P58+fx4kTJ9CnT59gnCJdRiDXsCOuPwVPsK8PfzeVI9Bry+dqeDFQJ8VobGz02shKWOatAZanv/71r0hPT8ddd90V9POjwATj+npauXIl7HY77r///oDPjy4vkGvYEdefgifY14e/m8oR6LXlczW8mKNOHUKoxuOP5cuXi+U2A/HJJ59g3759WL58OVQqVcD7I9/CcX09rV27Frt27cLDDz/MyhJECsLfzc6Dz9XwY6BOHSItLQ2/+c1v/Fq3Z8+eAFr+uvf2l72wzNuIgMBms2HlypXIzc1FSkoKmpqaAACXLl0CADQ1NSEmJqZVB1qSJ9TX11NZWRnWrVuHBx54ALm5uX5vR4EJ5BoG8/pT8AXr+vB3U3nkXls+V5WBgTp1iJSUFNxxxx3t2iYzMxO7d+9Gc3OzWy6dkD+XkZHhc1uLxYKGhgZs3LgRGzdubPX59OnTcfPNN2PhwoXtOifyLtTXV6qsrAxvvvkmZsyYwdfqIRbINQzW9aeOEYzrw99NZZJ7bflcVQYG6qQYt9xyC7Zt24a9e/dizJgx4vIdO3YgJSUF/fv397lt9+7dUVhY2Gq5yWTC0aNHsWjRIjavCrNArq/grbfewptvvompU6di+vTpHXm65EUg1zAY1586TqDXh7+byiX32vK5qgzRixYtWhTukyACgGuuuQaVlZXYtm0bkpKSxIYKe/bsgcFgcMtzPnLkCObMmQMAGDp0KKKjo3H11Ve3+u/QoUM4c+YMfvOb33gtIUahE8j1BYANGzbg73//O2688UbccccdOHfunNt/rEbQ8fy9ht6uX3uuP4VeINeWv5vKJvfa8rmqDBxRJ0WZP38+1qxZg9LSUrHN8dy5c722OXY6nWBj3cgSyPXdt28fAODAgQM4cOBAq/W3bNnScSdOIn+vobffz/Zcfwo9udeWv5vKF8jvLYWXysUrQkRERESkOKyjTkRERESkQAzUiYiIiIgUiIE6EREREZECMVAnIiIiIlIgBupERERERArEQJ2IiIiISIEYqBMRERERKRAbHhERdXJ3332329cqlQpqtRoZGRnIzs7GhAkToFKpxM///Oc/Y+fOnSgsLBS7TxIRUegxUCci6iKys7MBtHQfrK2tRWVlJb788kscPnwYc+fODfPZERGRJwbqRERdxBNPPOH29cGDB/Hcc89h9+7dGDduHEaNGhWmMyMiIm+Yo05E1EWNGDECt99+OwDg008/DfPZEBGRJ46oExF1Yddddx0A4Ny5c14/P3r0KMrKynD8+HEAwJAhQzB79mz06dPHbb2mpiZ8+OGH+Oyzz3DmzBn88MMPSExMRL9+/XDPPfdgxIgRrfZtt9uxdetW7N69G3V1dWhubkZycjKuv/56TJgwATfeeKPb+jabDRs3bsQnn3yCb775BtHR0bjuuuswadIkZGVlBePHQUSkKAzUiYi6MJvNBgCIjY1t9dm+ffuwefNmZGRkYMSIEaipqcH+/ftx7NgxvPrqq+jevbu47rFjx/C3v/0NPXr0QFpaGgYOHIjvvvsOBw8exMGDB/Hb3/4WOp1OXL+5uRnPPvssKisr0aNHD9xwww2IiYnB999/j88++wzx8fFugfoPP/yABQsW4PTp07jqqqswYsQIXLhwAVVVVSgsLMSsWbMwZcqUDvxJERGFHgN1IqIuyuVy4bPPPgMAZGZmtvp88+bNePLJJzFu3DgALcF1UVER9u7di/feew8zZ84U101LS0NRUREGDRrkto8TJ05gwYIFeO211zB69GgkJiYCAL788ktUVlbi5ptvxvz58xEV9d9MzPPnz+Obb75x28/y5ctx+vRpTJ48GTNnzkRMTMvjq7a2Fs8++yzWrl2LkSNH4ic/+UngPxgiIoVgjjoRURfT3NyMs2fPYvny5aiqqkJsbCzGjx/far2xY8eKQToAREdHi6PWX3zxhdu6qamprYJ0ALj++uuRk5MDq9WKI0eOiMsbGhoAAEOHDnUL0gGgW7du6Nu3r/j1V199hc8//xyDBg1CXl6eGKQLx/3Vr34Fp9OJ7du3t+fHQESkeBxRJyLqIjzrqQNAYmIinnjiCfTu3bvVZ97yytPS0gC0pKJ4am5uhtlsRlVVFX744Qc4HA4AEEfHz549K6573XXXISoqCu+++y66d++OkSNHQq1Wez3vQ4cOAQBuvvlmt3rvgsGDBwOAmEdPRNRZMFAnIuoihDrqUVFRYsOjW2+9FVdccYXX9Xv06NFqmZC6cvHiRbfl586dw/PPP4+TJ0/6PL6QDw+0BPyzZ8/G6tWr8fLLLyMqKgoZGRnQarUYP348MjIyxHW//fZbAEBJSQlKSkp87t9isfj8jIgoEjFQJyLqIjzrqF+Ot9FrX/7yl7/g5MmTyMrKgl6vR1paGhITExEVFYUPPvgAr776Klwul9s299xzD372s5/h008/xaFDh/DFF19g48aN2Lx5M+bMmYOcnBwALQ2agJaKM1dffbXPc9BoNO36/oiIlI6BOhERBcRut+PQoUNITk7GvHnzEB0d7fZ5bW2tz2179uyJu+++G3fffTeam5uxe/duLF++HK+99hrGjRuHK664QhzZv/XWWzFx4sQO/V6IiJSEk0mJiCgg58+fh9PpREpKSqsgvbm52e9mStHR0bj99tvRr18/XLp0Scxp12q1AIB//etfwT1xIiKFY6BOREQBSU5ORrdu3VBTU4Mvv/xSXN7c3Izi4mJ8/fXXrbY5fPgwDh06JKa1COrq6nD69GmoVCpcddVVAICBAwdCq9Xi8OHDWLVqlVuuO9CSGnPgwIFWlWiIiCIdU1+IiCgg0dHRuO+++7BmzRr8/ve/x7Bhw5CUlIRjx46hoaEBOTk5eO+999y2OXnyJF577TVceeWVuP7666HRaPDjjz/iiy++gMPhwMSJE8VAHQCeeuopPPvss9i8eTM+/PBD/OQnP8GVV16J77//Hl9//TV+/PFHPPjggxgyZEiov30iog7DQJ2IiAJ2//33o0ePHti0aRMqKysRFxeHwYMH45e//CVOnDjRav2bbroJjY2NOHz4ME6dOgWLxYIrr7wSgwcPxl133YWsrCy39bt3744//elPeP/997Fnzx4cP34cly5dQvfu3XHdddfh5ptvxujRo0P17RIRhYTK5TkNn4iIiIiIwo456kRERERECsRAnYiIiIhIgRioExEREREpEAN1IiIiIiIFYqBORERERKRADNSJiIiIiBSIgToRERERkQIxUCciIiIiUiAG6kRERERECsRAnYiIiIhIgRioExEREREpEAN1IiIiIiIFYqBORERERKRA/x88WHyIYl3ENwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "period = pg.period_at_max_power * 4\n", "print('Best period: {}'.format(period))\n", "lc.fold(period.value).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like we could probably get a better fit than this. Let's try increasing the number of points in our periodogram." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# I've set min_period and max_period to slightly reduce the computational time\n", "pg = lc.to_periodogram(min_period=0.9*u.day, max_period=1.2*u.day, oversample_factor=10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best period: 1.0350971683913832 d\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "period = pg.period_at_max_power\n", "print('Best period: {}'.format(period))\n", "lc.fold(period.value).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's improved our fit! It looks like this eclipsing binary has a period of approximately 1 day." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }