{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "56745385",
   "metadata": {},
   "source": [
    "# Find your first planet\n",
    "\n",
    "This notebook goes with the tutorial \"Find your first planet\" on Public Frontier\n",
    "(https://publicfrontier.org/tutorial), which explains every step. You download real data from NASA's\n",
    "TESS satellite, recover the giant planet HD 2685 b with a period search, measure it, and check\n",
    "it the way professionals do.\n",
    "\n",
    "Run the cells from top to bottom. In our runs the notebook took one to four minutes and\n",
    "downloaded about 85 MB. The outputs saved in this file come from our run on 8 October 2026\n",
    "with Lightkurve 2.6.0 and Python 3.12."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ab70cdaf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install -q lightkurve==2.6.0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87d132fb",
   "metadata": {},
   "source": [
    "## Setting up\n",
    "\n",
    "The first cell installs Lightkurve. The second loads the packages we use."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a46efd81",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\", message=\".*oktopus.*\")  # a harmless notice from lightkurve 2.6\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import astropy.units as u\n",
    "import astropy.constants as const\n",
    "import lightkurve as lk"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac750a48",
   "metadata": {},
   "source": [
    "## Finding the data\n",
    "\n",
    "Ask the MAST archive for every 2-minute light curve of HD 2685 made by the TESS Science\n",
    "Processing Operations Center (SPOC)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "017855c1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SearchResult containing 7 data products.\n",
      "\n",
      " #     mission     year author exptime target_name distance\n",
      "                                  s                 arcsec \n",
      "--- -------------- ---- ------ ------- ----------- --------\n",
      "  0 TESS Sector 01 2018   SPOC     120   267263253      0.0\n",
      "  1 TESS Sector 27 2020   SPOC     120   267263253      0.0\n",
      "  2 TESS Sector 28 2020   SPOC     120   267263253      0.0\n",
      "  3 TESS Sector 67 2023   SPOC     120   267263253      0.0\n",
      "  4 TESS Sector 68 2023   SPOC     120   267263253      0.0\n",
      "  5 TESS Sector 94 2025   SPOC     120   267263253      0.0\n",
      "  6 TESS Sector 95 2025   SPOC     120   267263253      0.0\n"
     ]
    }
   ],
   "source": [
    "search = lk.search_lightcurve(\"HD 2685\", mission=\"TESS\", author=\"SPOC\", exptime=120)\n",
    "print(search)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f965c073",
   "metadata": {},
   "source": [
    "We use sectors 94 and 95, which TESS observed back to back in 2025. `stitch()` normalizes each\n",
    "sector and joins them. Times are in BTJD, the Barycentric Julian Date minus 2,457,000."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "252eb2ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "33752 measurements between BTJD 3856.50 and 3907.54\n",
      "3098 of them have no flux value (NaN)\n"
     ]
    }
   ],
   "source": [
    "recent = lk.search_lightcurve(\"HD 2685\", mission=\"TESS\", author=\"SPOC\", exptime=120, sector=[94, 95])\n",
    "lcs = recent.download_all()\n",
    "raw = lcs.stitch()\n",
    "print(f\"{len(raw)} measurements between BTJD {raw.time.value.min():.2f} and {raw.time.value.max():.2f}\")\n",
    "print(f\"{len(raw) - len(raw.remove_nans())} of them have no flux value (NaN)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2190e140",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PgGgEbW1turBCCCGEUAiQEEKI5iAPgBBCNAflAAghhBBCCNFCSAEQQgjRFOQBEEKI5iAFQIgWQTkAIm8MGTKk2acghBAtiRQAIYQQTeHKK6/UlRdCiCagKkA5RGVARdYo1EIIIYTjn3/+MX///beZcMIJdVFSQjNNPOlzzDGHCQEpADlEZUBF1ij8RwghhGPAgAHmhRdeMFdddZUuSkouvvhiM2bMGHPOOeeYEFAIkBAtzJ9//mm++eabZp+GyIglllhC11IIUZHff//d/PTTT6mv1F9//aWrGhhSAIRoEX7++ecOr91zzz1mww03bMr5CCH+y1dffaVLIXIZJvTUU0/Zv5dZZplmn04huPvuu01RkAIgRItwxRVXmC+//LLD6//++29TzkcI8V822GADXQqRO0aOHGkOPPDAZp9GocJpTzjhBFMUpAAI0UJJwBL2RR5Rjkr1ltlffvmlQaMhxH8Ze+yxdSkCLqYhBUAIUSgkLIYHoWgiPffee6/ZeOONdclETYwYMcIqkZXo37+/rnDASAEQosUpmkDdo0ePZp+CyBhZs6tLuuQ9XTNRK+utt5554IEHKm733HPP6SIHjMqA5hD1ARCdJeyH5tIUxUTzsCO9evWyJRoXWGCB2OtVNMVdlGf06NFmzTXXNE8++WTDLxX1/zV/aiOk65Z7BYCJOnjwYGvxWHjhhc0441R3yr/++qv5/PPPzbjjjmtmm202+7tcJYYffvjBTDPNNKZr166Jg//999+b7777zkw11VRmuummi42Te+edd2ItOJNPPrmZc845y56z+gCIrJGA1TqwRvnjTfUnmv2MN954Jq+E9FDNCvJ1/vjjj9j3/PGlLvl//vMf3eMFB1kHeUUI0+oKwEcffWTjQt94443SQ+z666+3AnRarr32WnPXXXeZ2Wef3fz22292H3vvvbdZeuml222HQH/66adbBWCWWWYxn332mf196KGHmimnnLK03W233WYefvhhe5POPPPMZvjw4VYh2WGHHcyyyy7bbp9nnXWWXcBROnzmnnvuigqAEEJUgiY+hENVMopsu+22pk+fPmabbbZpyEVFSI12E8X4wTqJkSQNCmepHcr4HnLIIdZjIIpLnpRgGl5xT+bpnEQLKQBff/21WXTRRc3uu+9uO9Y9+OCDVddiRWA/5phjSs1xUAgQ9BHOUQqc9eSkk06yvy+//HIzySSTmFGjRpmDDz7YnHLKKea0004rWVZuvPFGs8kmm9iHKdY0PnPppZfabSj9tMgii7Q7B1y3LMxCNBst5OGBMYNk0Omnn76sBwABvZFNfJZbbjnz6quvlv6nsRzr4jPPPGMee+yxVPuQh6r6+9a9x7OSZ5boaFHH+y+DWzwYRF1VOP6edNJJrbx12WWX2XLR1TQJE8Ukt0nAK664oll55ZXNRBNNVPVnmdQI/ygQfmfMzTff3Iw//vj2PQcPrqFDh5q+ffta4R+4Edj2gw8+MG+99VZp2yOOOMK+7lzphP5sv/329u+0Dzoh8oaUg9aC8MRGwvqKYkKXaV8J0TzLjmbkABD2ipGsKLz22mv2eS2ScYrjKqusYl5++WV7zRxEQqhBXdjkVgGoh08//dQ2sCBnwAfBff755zevv/566TX3d3Rb97+/7eKLL55ouaKtdhQeeu+//7594LJ4isZy8skn6xJXiZu/F154oU1CE8UnTjD0X3NGi2rxjSnluPrqqzscEy+Bb0zZaqutajqHViNJyG+Gx2TIkCGZKQBYnNPOp2qgtGVcs8O8sOmmmya+12wF2ZUFffHFF+1vySzhE6QCgEsUpp122g7vkbTr8gHctngZnPXfQew/CoPbVxLkBHDjdu/evcN77777rq3igDt85513tjkF0qgbx5133mlaGeZYFMIx9t1337ICA/MXoU1x2M0Hy/mVV16Z6T7zEl7jhyFR2MGtwUASq/gvhF7wjCpH0asAEZ5TLwiqfpnK6667zlbQ6d27t8krRBvkjWuuuabd/3vttVfTzkV0LkGuus4aP8EEE3R4zyWruW2w0sdt57aNs+z7LjIWHWJw11577XbvbbHFFjZp+cwzzzQXXXSROffcc22yMWFElTL9OWaanywWUdG5PP/88w1zS7uEeR+sOOVqOV9xxRWmWey44442RjcLbrnlFhMCb775po2dzzqEp5nCohN6WC85DxdbfPjhhzftnPLMQQcdZC644ILEcatm/Pn8jz/+aELk9ttvb3ffn3feeYU2sDXrHnVGzjwolERu5JknnnjChERuk4DrwVXFIEk3yc3ltiGOP247t21ShQ0Eq+OPP96+j1AfVSJWX331dv9TDQiB59RTT7WTiEYcSaR10ZO3gKIhigNlZj/55JOGHwcLIp6tcos68Z8opc2yFBMSQkdKKm7VC8n95dzr1cJ1I5corsRvI0nzEGZ98JNuK+2jHmsx86NLly6ptn388cft/I5y6623lsaIQgluzSLmWHQcO3Inkp5JSc+HpPFF+dpss83Kzpe0ZLk+NErYjNsvnieuZ7RSVR7AkFdLnmOW5EHwd6y22mqZzNVWuV71EqQC4ErPxWWx8xru5immmKK0Le5oFgj/YY91nZszrowdD7mjjjrKvn/iiSd2KPWZBCVAoZKVgqpHaRaFcj0N8gjlUs8//3zz9ttvm8kmmyy2wU3euf/++zt4e/K4eKywwgp2HiUdn6pazGERzw033GAFVOZrnkkjlNUjuK211lrmlVdeid3HQw891E7gf/bZZ+29XQ5XdSSKQoD+P6yF4hPzzjuvyYJyikTeqEbZrAa8KXifnFclTyy//PL2mRIXrlwPRDYQwlyNAWP//fevuA1yEdUUMWbmCdYVDEoUfikH3vebbrqp084r6BAgHgBpJgwhMJ3JHHPMYR8ocfF2vOY3BEMoZ/KwQES3Q1hyQrvvojryyCNt/CoegOj75XAxr5WEe95P89MsBQDPCLHl1YJwQPgTORGDBg0yRYSystXw0ksvNbQEYzn840YbCsUJ/3mJFc8DKOmsAd9++22nH7sZ48A9jQAQJ6DHhUFipWMdpGmhT3QdTYvmXvtnhLseaQ0GPGcpb12U6xo9L54LKJv1EjdX8YbmucFWI5Q0vGyUQq+VpHmDzHfJJZeYRnDOOefU/Fny1+Jy4KI02vt+9f8KILSEAkDlECxkSQIOYTLUwa+2hn81sEBSuurjjz8uvYZ1eckll7Tx1v6CgKWfmONVV121nQaOpvzII490mOi4DP0GX0yyo48+2sZUIvwnWWkIrYhbuGlsBpxbXkE4r5T4jKVv3XXX7bRzKjJ77rmnGTZsWNPch3l1V7qHfV7Pj7AVlFyaLFWy2Gb5UKGCGcUDqrWgV/swpzpZVAgh94C1qZxA4kIo49aI6HHixpa1Iw55AOqD5xx9aopCVve924/Lc6LoRtx8zMM6U2mdyPIc8cyVy1/MI5Vyn5rF33//nbpiFTJxyygANNNCcKZpVtQijIVov/32s5OeGrPVgqUdwZ4f4oSdBZn/cZH6D8TjjjuuQyY72iDuLyy2TCyUEBp7EYO65pprlrabeuqprTvrgQceMP3797cPdEqdUdd/t912K3Ue5sF37LHHWgVigw02sFYFd378oFw4OM999tnH3HzzzfaBxzXis8T+o5ln5d5tBFQg8ReqOOUuD4tpFHIrikAer53vregs/NyDPFTeSRJ6KwncVMzg8z4YHmrFN2REH0LEhscleldbBhRqTb6uN+cIA0McebVUZwXGI7/qkT+/Pvzww8TP8dwpl8RfiaJc13rXxaT7ppnXIFqStFKztrTXAOV9jz32iH2vllLOeXkmdeY4sZbunMJjAO7Z0AxvcK4VgDPOOMNa03GV4z4mVpQFjfhZOuNykXlAoghUCxYmXFj8sM/FFlvMPProo/Z/Sn35k4b35pprrnafJ6YO7wSaGwoAQjkPL5SFaGIvMd0IkNw8COvcuHw3GpE5eA3PAsf66KOPSufmfp566qnStngNSAzmvFm8uS6EHeHiInG3SCyzzDI1fY54vKQbphELjt/cLUs413rPN+3CRjhFrbX43YPGd3VjBdppp51S7wMltRVhTfCNCvU+lFD+HRgLfONAJeLmGuFyVBMjbMu9X0u1DASQpM/535O/Ce+Je4/QKAwpUYNLdLu8PfybrXDSbZ55FgXD2ZZbbpl4PTB+Uca3EnfccUdN54XymiY8Jo/Vdfw5U+5+iI59Z1XPwwjqSpLyPPQFTnIRqfhVC8OHD7f5SdGwTujVq1fp73qeW0nh3XHH9Ht9+BWZOpNqPYhpjSnlvKam1ZOACZ1hccKiTftoEmJnnnlma12i3v5hhx1Wcxtu6uoTZpNm4JO2Q2BPW3Jxvvnmsz9JUOUnzfk4ZphhhsIJ+0nwgPD7JKSJWcQrRPWJpGSholim6N3A/CaBudY40rTfdeDAgVYYiFaUQomtVBnBPWjooO2EAZTQKMRozzrrrFWcfWtAOcFak9LLjS+CU7QYASGEccUFkmBd5cHuu/QJLasGhAFKEUdj9PmfMsbRBygCQFxjPR6clF8sEnx3Qs6aWV0EY1CcN6mSkJZWiKvVo4NSguc72ggzCopsI8MbahFW/c9gdEwCj5y7t/FA4eVu9FzgmvrPyagSQjRA9P4qdw2ITKCJKTKN244wXCIV0q5JFIbAUBkV7qsxOp122mmJ7/nKAeXR0yiujTIgYBCbccYZM5lvY6U4L/JvkHccGImryQ8tdB+ANdZYw+yyyy72orIQETaDxapW4V80l+iER6hshAWfhfmFF14weYaFxC3etXbBrCYW1b2PlaqcwoFHy3VsTIrTTqoxTmhaq1GpqyXX/YADDrBCmv9AZOx4mGXpHXElgjlmdKySHjbR18sp4dE5hnDvypo6IdTtb+ONN7ae1bjj+o3hKoVCNaKra5Z5FUlCWi05Fc0ScvG0J3W5je77rrvuMllDPl9RcXk1lfLbsoI1w3W+JmIBr1k984JICiIJfOJCysrhmsv53r1meneiRoxKgna5Yhrus660sN8Mrt5ciHXWWafiNuTf+MaVrbfe2hSBTBQANEqEIx4000wzjZ2YTPhQG5A0GgQRYvz8n/vuu8+EBAIuiZZZhe7UYj0gYayaigZxC3WjBB8sWngd/OR0FkDnvuY9HgpcP5cjU+48fQhvK8frr7/eqYJRvVRy6bMOudKtSd+dHKCnn37aCsMbbbRRu2uO0NWI6hFY7zbZZJNUY+dej87zL774omJCvusDUO4eiXsPj4F7L038azSMKumc0x4/K9xcjsaJc+931jxP+n5xPRuS4JkaNUK48LLofgg5qrS/pHO4+OKLY7eLE6QQeqI5MFGPUTNizOPK0bJWUnKzM/DvN9aOqLAeNy6VrlMt94gbMwyyWZJFZbtozlmSog4YlglHTlKAHXG5ERR6qYefYsrJ+/eke/76oe5FKb/7n3onAbFeuAYJW8BKxqLKBSdeChdQLV0rWx1iwVmE/Z80WmgjBSoq2VD/t5qFKG5BIzyFhwYVkeIs2Fhfs4gf5MFe7sYFriuCXzmSFmVq7EdLIKb1AKS5fjw48QC4bqksjtxf0WOSuxJd9Op94OLNi2vo1GwQduNYeumlE+cAFnb/elTyfmAliwq7zMlyiZq1Cq/E5Ee/U9LYRY/h/kewiBZgKDf+1azHfhnBNN8xeo3cOhJXjrkZIYFUcHP4FkLG151jFuUimXPlhJlaPFYYGuJiluNyMeqB7+9X0qkEOW40ePNBINp2223t+JMj2IzQKzzL0ZLNnSX8s06zjlQzpxnfIUOGdFBY/AqKcaVhuf+j198HWYz1wVUgjBOg0zwviPKoRQEo541OC6GxziiTdNxGrR+PP/542fcJh/SLyhSNuhQA4ryxmBHqg7WIBFkUAV4n4YXFhMS1osWMtjpJ7eddU6Q0C0bSDcnDxcUK8oCI7ouwA9yn9UL1JVfulRCenj17xm5X63dhsS4nFCYRtThibWehL1f60S30eAOSKon4JMWFVsN2221n8kalkpxxcf277rproudmqaWW6vB63LZJ3jenYCbNdRc65t6P1oiu56EV9Uj44TpR3HHSWqFRALOs/JPHzp5OEOKa8AxzXaSj4Y61QHJn1LOTBsbBWWyTSiJWq9y7MXeFMyopOP73rxQ2l3ROJOS+9957NgeQtZ4fvle5KmNuH64AR9rvxtqX5IWNGjE6y6jh1gu3Vqe1BpPc6xunaFzmV4CKu39ZY1jnKhmT4hTfaqj12sWtsVGYH+U8jGkMbWnW0mq89QcccID9nfcQ5aYqAFhN0AzRQKOd7NZff33Tr18/M+WUUxauOUKrU2t1gjiwYJSzxDfKPex7MXj4sAiT0JtlNZBK577NNtt0WJyw2PufQ9gigcgJ3P57tVpPrrjiClMvlbwn9VDPmFfzWb6Di8P1cUJQ3PWtVKrPx+8nEoff2AgFr94kyjjvkfvfjzGOE/KqCS+I3v94KTqrckoj4RpEY6n53tHqPAiV5cpKVgKFIg6/PCwGBJ6R/rggIFeTGFqNJZbEVyfgO2HLWZeTjpHU8dxXDMqFsvghwHx3F/ONJ9kJrS5u2gnJCKtpc5SwziblQT388MMdXuusWHd3TVzVmFrWYwxleBH8sanVYID13MX/57EMKHPBNzLgkYurjOUrDFGlqpprw3Oh0nd++umnc3edcqcAEOLDgprUkZaqOngGFlpooXoOIzoBHnrOQpNlQxk8QHHxmFmTJBhFLeNprVqOpAU4zYKTtmyYL1xR8cXtPymHJvp6rd1Xm0UWcdfVlGRzwo+jnJUXq1sSvsfHj3tmrCpZl+I8Klk2v/KvKUYZHpB++ADzmMoU/n3pC/qV5nO13pe8gsC4++67l32o4x1IU8ENocovSe3wr3M5IYSEVP/4aYT5aMhi9PzxtvsW37hxdcJTXDfwpHONei3945crDenOAW+Ag0RN94whCR2uv/76duU8qR5XjxGi1qpIWVCroJ6mf4frB5IllbzP1ZBGSEYhKWdk5PuV865Huxyj0Ccp3XHnVc5w86zXqBDDXJzhIyRFoK4nUCULGEwxxRS2J4DIN1jJ05QWrBQTVy3+zUSZsnKuRqxmHP/AAw+s+RjR0Im4mxkhwQ9biC7o1VZfqOaB4KoYJMVuI/xXU1e+VvJq8XXjRZhh2m3LXa9q3MIIhq7coG81rjS+SQnEcQpApYe731XaJ3oOCGVOwHPvRZN0/R4RnTGnypG1UJP2gV1JePWh140f2881o6pWPfe7n1hby3yIgieoUt+dqALurk+cNd3F8Ue56KKL7Htxyo5LQE66tlyfaOnJaAgbnjs8WUn3Z7TwQZ6oNundXf+4eUqBFVd6k8+Q7xTXT8KH8LFa+8nUqzT4ijOl4d338pU5lDP/f1ekoNy+fHgG+h4N8gr9BoP+/E6aP1Hv7z//+9+/d1BSkxLc8SbV06AvL2RngioDHXlFviGpNQ1JDZNqxb/xuakJ00laYKizSyk6ahmzEHLTkuAUd5P7SZI+abwRCHl+XCUuaV/wqtYayrn4wmMtOKsdikk0ua0RNLI6Si0WlOgYE8ZQrtQacyTOjVsPJGTTzC8NfnJmPZ2BfZjvTrhKK3Q4r165a857LlytWThhoZGknXdJ1xLByo/TTrIyV6MAbLXVVmXfrzTf4ua4H+LkEsTTfHdnha+UYM885HlBOGWc5dV555ziW00lIv88Xbw6JU1ROHyrcVKjqiLikpOT1lyq5VXyGJKf58YCRbXRVWiSDBG+scP9zTM3qkT6eR5RBcD9HReGF53HXDNy4/wcgriqPz169Gj3fzRxd6kUuQoO8gI4ZrV9DoJrBFYu+zykGsKdDQko0ZudKkCNrAQUrSZBmUn/4ZQ2/AVBtxolIXpDuzrNuN/mmGMOM8sss8QKelifXnvttcT9unPce++9U3ugOG8q6tA0JvpA6tOnT0nwj8ZYI7yQbOpbp/xkK84FhSat8Oiff2fH5+cFrjvWz2hTNH++lJtnCA31xHHH4R7Q0co9cWNVLpSolhAgjhFXwcdPnoy7j/DqzTTTTKaVcdcorhpRtUqiP//8+YXxYuKJJ06cD76lnGpEcfH10SowWRAnoJPw7Cul7jultRo74whx9lEPRZr+A9HrwxiUK++I0jvhhBPa/kKLLLJIu3OuFX+8mh0C5FvKa8VV6MsTTih31no/h8kX2JM8AHG4/BC3fVwCdKO9HyFRlwKQVKkgDikA6SHrfaKJJjLNBPe2nzAbp6E7WLwRZrp27Wpj6BB+/M7B9ZxDUn6JE26iiZUIab6AllSCMC7eluORBJq0gN95552lYxCLS9Url+TlKwBxZcGyjPcOCfIXFl100Q5eQmKGmUu4WX2FJ01JyWiOQNYxm9X0jojiW9rdPOP+oX9KVNnxqfQd6Czq4yfVcT+UExDKdfcMnTgXv+tejiWRQhZ0YS5nmXXhi3jnGMu43B2XgMo4snbEhbCkURqzILr2ubnlW9j9/JEk62+cZyvJQ5Wm4kq5wgfRcCLXo6JW8IytvPLKphE0qiRlpdCuvOAUGrcGO28E90Bcd95yCgAdqH1cl/taw3Hr4XcvXK9c1TVfESm3pueBuqQSKprE/RxxxBF2QQQsHbwmikX0pnQPLF6L3qx4grBuR2uu1wP7YeFwgmFaoQsBkSQj553iJow7J5qKuONk2dwkiWhuA3WZk+J7s6idnGf8a87aEBd/TsK2uz6++zgaFxp1mzsLpH+9s1YAovvzE0ErhU65hyL3kxMU8Bb5Dd86u05+I+Pv805cnLoT4HngRwsiuLFPSrxnLF1oEIaA6Nz2O303E99KytoaVVrKJQg7D6ifDJzV3C1XPjXLMp6NNEjW2viuFkW8nCBarvJPvbh5TBW7qEc0WvUoTQWypHNNqtxUTZPBavkn4fnrV+hK43GJC6kLygPQvXv3xPeIHcSKjbXDCVuiOEQ7OJazTmEJ4kb04+jwAKSpxJB0syGMowA4y3n//v3L7ie6ECRV++GhnlQK1H8oYyGiw2q5ZLO4hS1OieDcos2ajj/+ePsTR1xlkc5olNRZJD0QWOy7dOlixhtvvNT7irp7sUBGa13X0q+hHNG55XslkrqoRhVq4mPjEgGrxc8HaaQCGyrVNqp0VkBXvaYcrB1RAc01VOosJT9p3XC5Vi7h1jUcbDSs6bXmxNAfpghx1525VietN1mVg07CrVcogczzNGGG5MDFRTbUcr3wMhCWm5SLEOc9SMtpCYpYtUp7EQx5DY1LWG+99exEuemmmxp5GFEnSVZL4vArCR8uhjaupb0rWVfuBk+qekPMLIIVsfPlKnWkWTz874Gldfvtty/978ciuutAExse9Ajt1d7Erlla9ByrSQAm/CX6vUiCCxX3XVmwq21i5id8JdUEzzohrpywnpRkHjdP/bCw6D6dlbWSVdC33kfLnYrK41WJ6Ljh3Y7mlrBeJCnuUVyZy86qSZ82j6jeUs14tpKs6r7Q7odNNbpgRZ4p99yqZr5m2bOnUTglmLGP5hpiwInKGWkaB7LuUc7ZT8qPUus99klC1bZqKUK50IYqAK45WCOSm0R2VDNR2dYlXyL8JyViZlWmjRt8tdVWq7iQOiEvTpmJCoZJ9fWrjSuMu25xym4tFg6/rFmjq/J0NtHrhhXHKWL1LJr0JGk21Tx0/HkRTYJ0Cp8TmNLcT9GHq6i/Cl3cvRvtaHvkkUfa33ElQRFu4qqU5U04qDckidyWNCWiy1lsi5zwmmVIXbRiTR6ppkFZubKl0a7j4PeMqEQ13uJK3PW/8NFqvYJFpq4QoEpEwx5EPqlWQHVucBaBtG7GWq2TlTr3RgXjnXfeueI+k0Ilqn0op7W+3HbbbVXtN3Si19mPN8ar5PKHsiarhmnVeqT4vnEKnL9t1KocvUZpGp81uvRfUSHBulbixjOagFpu3UgyfnV2Ja+8KBxxVVuK+l3qIaSQzs5q6BiHX/K2Vr7+X8W0WhLYi07DPADEybps8LnmmqtRhxEZUM2CisvOWYuq+VzUoh3XwCYLa1A9iU+uHnPWyDJrchE7Wa69fDUklRf17w2faNlYp0T7QoDfgdJRzr0tshe2qAAWhfj4SjQ7nCcN0XMsskcx7n4SnUsISpij2saiIV2jujwAfqm56APcWcnGGWeczB68rUIz+gCkxdXhjZbFqpdoea+0JOUQ1IJC1TqHSgtjo0qmNrraDfdt2kolxEufeeaZDbWOFYmpp5662acQ2y/EGRSoeV9k5Sd6z2Xd0FG0FkUQbtPyRxXdwKvhqquusn2FglUAkhou8ADH7TrffPPZkow0dBLF6gOQJXQmbIUFRSFv6UhTFq6IVKuMllN6Q7gfqiGu42xnE+2lkHXsuhChENL69GWZJnShM04zrLYiX4R0MzeTLL0RIUNzr7QKQDmhrOiUK4fYavdkUZW+vJOmoooQojVRe1IhMqLVhLZaqVRz3O94efDBB5tW5KGHHtJ8yhFFvbddk6YswzWFEGEgBUC0PFm4AIsqIOSRN954w4RELUmijezi2WrU612gupLub5ElRfd4VVMGVAQQAlRvXfd6SrEJ0UhoODbjjDPWtQ+VYBT19pVoZfIsRJAkKAVAiP9H90OLKQB+99RauOeee+r6vBB5XxC1KIo8NWcqEnlWAITImpCeFbp3W0ABoKKPECFCounyyy9f1z5CWtBFPihyrfbQhAjd3yJL0nRNzjN+BchffvmlqeciOkEBOP300+s4jAilD0CIuES5emglYU10DhI6hQiTl156yRS9utQuu+xSaozYq1evZp+S6OwyoJ0BbZpff/1189dff1kBePzxx6/q84MHD7Yx3uOOO65ZcMEFzfTTT58Y50nyIY18yFdYdNFFzQQTTJB4Tu+8844V+uhxMPfccyfGhdNJku0nmWQSu8/JJ588d30AWl3QSOrsKkQzaSWlspEegCz23eprpMiWot/byGQO5BvRAgqASwTujIReNOSBAwdaVxMLOJU0VlllldQKAPGzp512mnn33XfNsssua6tqXHzxxbZ78SabbNJu248++sicfPLJZsoppzTzzjuveeSRR8zll19ujjnmGDPbbLO12/b66683t99+u1lqqaXMhBNOaK6++mqz+OKL23bSY489dmm7kSNHmmOPPda2Le/Ro4e9STg+TbHy0PRGZFtxpegLusgfmlP5gOdPERWAVm5wlHdCurelALSIAuASgaMJva4hWJ8+fTI7MYTrffbZx1rYL7rooqpL6SGoo6Wec845ZpZZZim1c7/gggvsPhdbbDH7GgrGKaecYmaaaSZz/PHHWyH+n3/+MUcddZR9nWPjPXCNe26++WYborPSSivZ19Zdd137P5/v27dvOyv+qFGj7PGw/sNll11mzjzzTHPJJZeYaaedNrNrJZpPSAu6EJ1N3nMA8BAXDZ6BIp+KWREVyiSkAJSPLphrrrlM0H0ABgwYYH+yZKGFFrKCei1g/X/ggQdMz549S8I/rLrqqmaqqaYygwYNKr2GUI9nY6ONNipZ8McZZxyrzAwfPrxdd9e7777bCu4rrrhi6bXZZ5/dLLHEEubee+8tlYIkpvzNN980a6+9dkn4BzwP7tzyREiLUTOvga6jyJJWUirzrgB89913pmgQziryx08//RTUvS0FIBkiUPJMkI3APvnkE2uxiVYuIrGWEJ/33nuvdAMSyw/Rbbt3797ufQR38gn4fPRhNf/889tM+M8//9z+//bbb8fuE+WDHAS3T5GvRbkeQlrQRT7QnMoHeVdOkiDcVeSPaIGPoqMeOMUlrJn4P7799tvEXAVe+/PPP0sCH5YdrPTRhN+JJ57YhiG5fWFNYaLH7bNLly7tjuusRUnHd9uJcKwYsv4LEW4ScBE7My+yyCLNPgXRAgoAIFOJ4skFua8CVM9kHG+88Tq855KIXR1bfsdt5z7vb5e0T/da2m39Grpx/P777yYN5Ca4/ISQJ2lnQLhXvdfw/fffz+x8hGil+zLvVnbywopG3q+pCANCpr/55ptmn4aogSAVACd4x3XSpJyorwiwbVLHTbZ1+0qzzzTb8lqSwlFt12WSjuXmzYcCQHjYzz//nNHZCKEQICFCJDTFrGvXrsoDKKgRpyYF4NFHH63qdZeA21m4kJwff/yxw3u8htV8iimmKG1LToAv7AM5BPy4aj2E7uC6S9onuG3940833XTttiWUqFIFIBKq0/QByML6L7IJAaLCVBHDBER+yfvDo5UIQWhTsmY+CC0EqFu3blVXaWwVRvyvdH5QCsB5551X1eudrQDMOeecVpinvn+0e+6HH35o5plnnlLFHxJ4n3jiCVuuySX+Oouuex/YH1WJ2GcUtkVgn3XWWdt9hmP5icAkCmNppnRoOdiXGoF1Lt9//33d+0jyJAmRlkknndSWD241BSDPAjbjEIJyLw9lPsjzXK8FeQCKmxtRlQJAWc08Ls533nmntaq7dtQk9FKn/6mnnjJbbrllyeL+3HPP2QRdP8SGz1x77bW2NKhTANgnJT+p2uM37aKsJ0rOK6+8Ypt7gSsVynvOIo8CQnfgBx980Ky11lqlcCP2CWuuuWanXR+RDlUyEHlgueWWM/fff3/LVQHKu1CkkpqiVeZ6tcwwwwzW2Ck6kncjTlUKAM2xOgtcSnQDhk8//dT+5sGIME34zsorr1x6SBIys/DCC5cUAEDI/+yzz8whhxxivQ9YcAjTwPrub0cFoIMOOsiceuqptvMvSgBlOikleuSRR7arDkQnYhI96TC8xhpr2PcIe0LYR9HwoTMw14t904mY7/Pss8+a3XbbzTYNE+GR95tdFGsOtdJ8yrtQVMQk4GhFoLxf41YhtBAgqiUWsVFeZ5B3I05uk4AJpxg5cqT9mzAafqiOw49/A7Go9e7d28ahRct4IqhjnR8yZIhVGk4++WRbxz8KXYEvvfRS2xSMuH2s/gjuLk/APxbdiVEEUBKwGu+xxx7WGxC9qXGL0UWYfSL8zzbbbGbzzTfvcJ55QA+G/4Ze1APCWisJbKI1HxituAbp3hatMtdFttxwww1m//33N3kltwoA8fQ77rhjxe0QvJO2I84fYd4P40mCcJ9KsfkOvAR+vkA5zRhlIe+4EKVWBoWtXqQAiCznkMLS8sMuu+xivcRC1EtoCgAyGLKOKB65VQBamQMOOKCDR4Fk5mhCs8gOOjS3ugIw44wzNvsUWp5WDQHKO9FGkUWBYhJ4zUMTOotMaCFAWRnQROcjBSCHnH322Z1aBUhks4ARZ/v2228X9nKm8WqJxtKqCkDeOwEXNTQLz7YUgHwR2n1NkRUpmMUkPFVUiBorGdRLpf4OeWavvfZq9imIiKBZVKHTMfnkk6fabvnll2/ovZOFwFVUoS1Ea3PRKepcKhdCnMfcRlEZeQCEMKZDw7aQIS/lscceC/7BVET8McgiLK0WqFL2xRdf1L2fhRZayP6ea665bJ+Vch7PvFfwKeq9IctsfqA0Od6YEFEIUDGReUBYnn766Za+En4X6NArhRQ1njl0Ro8e3W4O0XiwGcw888ypt41WSoujWYpMVp6UIt3bUeQByA+ULqdkeFHnUrmCLc2+x0VtSAEQFuUc1Me7775bmJCNOKFAlsLmQ5fxJZZYotmnUZoLZ5xxRqb7pbRyM5hyyinr3kdR7u0ouq/zgy/412twyhMI/6okWEykAAiRATSdK4plJ67nAYJCUc4/VD744IOSd2aTTTZp2ng4oTGNkFLNOTbLSpiFEPzTTz+ZrKBYQGd/93HGUbRvHnDr7DTTTGOKjp4XxSf1qnDKKafUdaDDDz+8rs8L0cqk7ba4zDLL2OZzjjnnnNN2tQY6YtO5eu+99zaDBw82r7/+ekPPWVQHY0JH884U2FZbbTUz9dRTm3vuucd2SwcnnCT1T6HJots2ScEcNWpU4vt4OV599VX7d9++fU0zcPdCWkHnkksuyezYO+20U01J94cddpjNl/jrr7+q9vbR7LKVIUb966+/7vTjsta++eab5plnnrHzyClkRfUoibBI/ZTxhQrRWNQHoJg00iKS1opJUzz/XnWfoyler169rNAz7rjjmssvv7xduIlCBZoPXcjTWtK/+eabTI657bbb2u7ohOe4+XDooYeaO++8s0Oo2JNPPmmuu+46c++997ZTAEig//bbb+3fCyywgLn66qvtvhB6fNwcy8Nc22GHHVIrAFnTs2fPmj5HHxiawzFP+vfvn+oz/rXOw3VvBFtvvbWdl3m0Vvfo0cPeY/5aW+ScEp8QvkOrk1oBSIoHffjhh80jjzxiKz5QXQTr0YgRI+zi+s4771gL0+qrr57lOQeP+gAUk8626qy55prmwQcfLLsouwool112mRk5cmSnnp+oDkJuSAT2QwVQ6KLCHg3bUADi3quHTTfd1Nxyyy2J3odJJpnEKpJJzDPPPGbAgAGx711zzTVm9tln7yCIzj///KbVhJdygjilU3/++efEz2222Wb275tvvtn8+uuv9u+11lrLPPDAA7GfIemU3BIo57VpNEsuuaR5+eWXM69Etfjii5t9993XyhpY2pNolvITPW6zQy3p9fLee+9ltr8VVlihohe60eDdkje7wTkAWImiPwj6CP+Utzr55JNtljuKAL/79etn6zvzflrLlmg+ISUndSbUQSbcJi3cM+BCIZLYfvvt6ypd2qVLF7PxxhvbuGPuR9/qibU2JBCelltuuVTbIhg5uD4+a6yxhmkGfrnMcrHbBx54YGIuRz0ccsghqeeWm78+N9xwQ6KgheBBGBu//SpUCAvNoBohrDMFtrSCqq+I7bnnnonb+dc6i3KotYJAXw1pQ+B22WUX+9v3VlGVJkoevB8YR50C0CwloDOOS0+P3XbbLfH9k046KdPj4c1WjksTkoDvuOOOUsJaHM5a4bYT+ScPyUkIClmTplxhte74KNVUQjj22GPrWrjxyBGL7ZSPc8891/6NlZUQDj+czAl2CA3+dSBUI08PyFogVMUR19sgzfWMzo2sBeu0zDfffDYPAMo1xmKs3NjXS9K433fffaYR4Ak47rjjbGx0Nc3CWoW096G/XTmjDfkG9ayrWSUs4x2qhrXXXjvVdnEeqQ033NBceumlJg/44+SHfqX1FieFi9V632RZWricMuFCnuLOs5aqXOS/pDXoiE5SAIYNG1ayMsbhHmKff/55PYcRLUbv3r0z3R/xoWkFGsIgkvAF/KQ5n5ZqBG66FEcf3lhgN9hgA2tNGTRokFlqqaXs65NNNlkHhTzkWuBYFrECVtPILSo8o/T6oSjNUoZQAFzCtv/gJPa+UaT5rq6hV1YwR5st+FdjMUTQyUopRAGKstFGG1W9H//6lRtD36BTi+BFgngShISlJc5jVKvn08clzRMO6QweW265ZS7K6ZYbm7SW+Ljt8BT26dPH/o1HzUG0RTnIATviiCMyVfIrrR+cKyGLPuXCCGv1IF177bX2N/ltIj11SQZuIL/66qvY97/88st224niwI1bL1tssUVND4L999/fZAlWD194X2+99RIfhrPNNlvFxY6wnXpLGsZ5C3xLdNRihtAU93B2D74oLLokOlYjGBctqatS+FQSu+++ezuliPhkHiAu9KdZCgDCmj8H3HhEBS1fGcz6XOOuKcLU0UcfHevdLceyyy5r8shUU01VVbieSzStll133TXxPeacr+D71YmcMu+s2XFUSnqNI84QUMkyX25+RQW7JKJzJ0vc+ZEH4f+O0iwZJOrJK5cDUI33nbAvwh19RZZ1YZtttondnucuXmL/2NU8G6p9XvjhpTQW9MPU/DmVtSGgM9buqcsoxS2lADirGQ/PaHzh33//XbJ2YNkSxQDhGCHgxhtvrHtfcQl+VETo7Js4ztqXZC1x2zrLUhLOAlNuQSznyeA4K664ov3buasRMhDaXTy1fz1I4i0HDzjfunjXXXeZPfbYo6LlkuvAZ4saAlRr07sLLrigNNZu3MhjgqRr0RlCRHStjDsXQr7KcdRRR6U+Xppxp4Qi3iY3788666yKFlbOIa+eJ1/4rkfYKWdRJ2Rh5513TrzefllOhNatttrK/k343oUXXlhSxLDaxhkNmMMvvvhiolIQV7Y7bqyTksjdHOMz7MtZmskjAgRN/9x8KCnrw9xp9PpSaf/kJTaD6Bxx5xk3n+LuFwqrxD1r3D3mW/T5fFK517QhVVldd7e28j7GK9+j46+j9XhC4sKAuN6N9gL8J6frWi38p14LLxebDGw0vIEDB5qHHnrI/qbOMVn5vI9LThSDuIdWltSSeFpPfB/zr5ob1m3rh4mwDz9B0t8uCYR6l6zpv+Zz5pln2t/O6oty5JQCv4wcIQK+1eG2227rcDwWWt8dnBYWTKxDs8wySzsByVdA8kKS1RMLOVbdJKIPRfI32N6NcfThklT/3r9GjaIaY0nSQ7Gcu7wWJcZ/oGKlpABEZ4fxZQUx7VklIZa7R9z6QHheHE6hOu+886wldr/99ovdjlBDF8cfFbaihg22dX0VkgTBaIijnyR88MEHx8b8U8kPaz8Vd9yzfJ999rHeijjwaGCAqJVK8d5xeQ9Jgqhbc/1ciGZ2pYakJOC47xAND6PqjtuOZ4L/XOCa4HW74oor2n2GOeaKI3AvM5a1WN6z6KgdFz7rvGtJ3q60+SvInazRPEOvuuqq1OczbZl8q9D5T71hIsccc4x9mNJkA6sx1gt+8z+v83617tZWhzhGrLf+T6OS8srBwyTJyuNDOUKInmMlrZ164nH7T2stigsVqmQdrYR7IPrnwMMuKTfAVwT87xtnIXUu12iYkb+IR787wngar0k9nHrqqfY47vyxNFabtFcr5UKu0grHhKNEH3pOAEJYpUpENUKwm5NJAk4j8eeZP59InK21pr6zvmGZ9feJYJdGqckq4TiaV1BLM6x6IFwuyzC3OMGB5x+440TXIzde7pqWC5OilCJe1HIVVfx9snZFjQ6OuO99/vnnd9iGtW7BBRfsML9c6AoKQpJS469xlcKDXElYcOEhzjgUrcoVBUEXhcn3dCXdB05wdOu6u/erKdiQJe46JhkZ4q6PGzs8MZWEVfYfFbD5jG+RZ70nDLLWRnzlnrGsw0lhSHGfZ745JefII4/sUNbaEfXIOy9ekmeD9QUl1C9T6gxuURZddNHS3/UorkWkbl8GC8KVV15pXVE8vLCu8Zv/eb0z256H1Afg4osvbvcTV3Uma6JWKB4m55xzTsXPobljtak2ppA4en/h9mNh119//dLfKJG1hh35+3c3unvNWdud+91BEq3vdXDnlUYgjCtBFz0XFrqoZaXWePaik0WyHg9135LJA9M98K6//vrEz22++eYVu5ensUZmibOyRQW2ddddt+zcKocTrPz7y1UYqbfsb60CNQLOdtttZzoL7q+0ib8o5JwfJUqrVQL9+H0fJ6xW4430xyZJMHLgxUsj1PrroSvByjz3BSdedwK8y3XyGwqWEwB9I9ATTzxR+ptzQzCNqxjoFG6/Klk5mLfIGL6XqVxojR+x4PJ8mpXv5BSAuOo+5Iy4hPu4tQmFPQ1u7JxlPaocYRRxSlYtTemcghF3DXnGEvOfFtYkfz/RPAju27hQYhRtFNETTjih3esUhHBeKq4D4YrO4xf1rtea10JYVrl8nyKVUs8kmAm3EhotEw5rBb/5XxnZxSIqCPuLx/3335/4OR4ScVYbd2PjbnQWh7ThR77QT4gMGn+aRLxozLu/+EUtwY7oA4043LjKJ1ErrJ8n4RaOJNc7cD+wIJVTitNYdBsRT9vZOQDONV/OtYvQE+0mm+X3qBTuxrxlXj/11FNlhYZGWMjjiIYxJJ0PczHpIVyL4FPuMxgmmuEpqZVy38UJE8TXY5nHO8LftdRtT9q+1nDGSgmilAX2n7eVzrecwYF5hneAcF5XrpUYepRQn0rPd38t5j6nWZnLcfAFJoo0OK9CLfkZaRUAPOvVGJNqJc5j89JLL1X0hmP0InSFbVlTXJhOudCbcgolDdKyxF3barpLYxyM66vickn8/Vaq8OMbjPjecYooz9ZomLFfKMPlzfjKZluFfIzod4wLH3P3NcpR2uT4PJBpNgOJv3/88UeWuxQFxt1YWFFdmFA5uOmS4ovxgqRZ0KKCz2mnnVZT2IS/TdICRQjcJZdcYhUnLFtsV25B5r24zok+LB7Nik/tTKuYW7w5ZrRaigtLQeippXY5+0xbZxvBiSRXR9y1b1a4QBSUUhfiUW4u44kbM2ZMp5wTCazNSrCslqT7HiE/Gk7AWpMUTuNb9B9++OF2FvQkEAzI0almDUpL2n2lvb/ZH2sVnhC3bzwMvlfW3aePP/542X3FhazgJfGtqL4wxzrvk7axX9I1YL9+SApeoEZ343WKuh/mEw079I9PiK/vPWdbrP1OKWJ9TPJWkmDrC8jVzg+Ui2oq2hGy6RS/6DU88cQTO2y/+uqrtxtD17eFKIckjj/++NjXk5Kh0+CUKOcFjI7HpZH8PP+auWc6US08L+J60PjXoBoPSOEVgN9//91WEsCdywD5May0hceS4FqWi+ISXUQI76pEdIGIu2Gi+40L2fD34xaTaGgGlkg/ThBrDzd7mhrm9TyMSYzzQzO4+V2Srh+WkhYSWiuFpoQGlvhnn322lOTLQ9slSUYp9+DwxzJOEcPK5hqmORBsfJetu/YvvPBCU8vCxVnbUFSSYnYRYv17x7eC+ZZaqnz5SnFW51lUUDCffvrpiiE2Udz8Is8tTWgBHgW/Sleerls95+KXJ47L6SjnOa4EykA5JczH3SdRrwTeY+LM47ZtNEmJvv7rKEg8o6LnxPxy5X8RVp1hAuUp6ompp8klSinrYtLz3M+tIhwYg1eSByCpBGs5TxbGlbTzz694VC3Rqn+Vjjnf//LN/PWWNdYvY15td+vgFIA///zTDgqJEygCUfAGcOGfe+65eg4jcgTxdaeffnpiGEu5pF7/hnELi38jpomPZbFjwayUKEa8J+6+uPr5jcJ5AJxCwPdOsyimpZF5As0qA+rGHGXJH6uk2uG+67gceGeiIV9YutIktacJb/BjZ9N018w6LpQHlG9d5XrhhnZWQyzObh6S1Pnoo4/avwmBwPqatvTrTTfdVDFhMU/CbLW4a5AUYpNkLY7zEGLJdfhW1bQNs2q9v+PG0c93QIh286/cmNc7jtXmdCA7lAsfqyYciO+FIp5mvW+0B8AJtnHey+ixEb6ryYPCgxzXX6ccae7zJC+nr1ywjvj3Sb3XkPBOjHbNWD/8Y7bFHN+FCDGneEbx3CmX++Jf40pJ+8EoAFh0hwwZYgWyOMutq3BANQNRbNwEp/JOOZc/FlaXTFzuxo7TnpMUgKT9uIecb3lKE2PrvkstSYhpE9Vqae7SikTj2uMeWHTCraYbrZsv/rXPug52td6dpORQR7UVcbCOuthWBEwUnmhcrB9uErUSUhEojXJKBbdaPFlFJm2yZRTXwwNB3lc04zo5Z6VwI0BGhV4MH/54R8MqXfKvIy7JslrKVQZKgogBKtJkAdeTnIW48WgG5XLB/DUpi5ryeKHKCZ1pwigrlfb11ydCwdxzttp57D/LOa+4z2Oc4LrEKcRZ9GIhpCoapz/ZZJPFxu5j9cfQgucZBaiSbMA2Rap6Wdfscwl6xEDHWbhc1YmhQ4fWcxiRA7gR4ha1uDKCLpmYm53E2UpNtaqBEA2XmEaCER4mBHlcmYTjVIpn9B925XoSJC1s1fYxSGv9q4ZGCWTNsMT4Dyd3fCo5RK9htK5zXMJ6uXGLVouoBndeSdeHeVeJSg9KXxkl/jxt4imxw9RvT6oQRAnZuPnCQ61erwShFUVzg/vXNK4qENfet+QnjVs1iZCNbCYUt95Fv1c0QTZa/tPlQNRDveWXG4E/jp291pWbN+7YaULH0sD9HTWkOK/dyy+/3KH6V9J5ER6YhF+9CeEfD2gtieZxn4m+hleIhPE4XLPGekNOo30QZp555tgSoChpN998c8V98gxANshLvlha0tVFS+Cbb76xv5MePi7xYtSoUfUcpuUgfj36gCDGvTNKgSbBQyKuis7tt9+e+Blu7Gi8ov9eUrJN0rbg16dHgHFCjMs9+fHHHysm4VT7wK7mYR3dNwIYcZNZEUq50HIlY9M0NEtqnAS1VG2pVylNqjGNwvn+++9XtT+E6p9//jnVXL3llltiBXn3/Z2y3AhcciWWM3ox5J3otSSB97vvvmv3WlylMX8u+R7OekBQeOWVV0wecM/vWu+ZopX6bnbX885Yn+h0Xu2zi0Idfhdn8g7iFMx6ld8o0WuBApuUV4VnK5oonjWTetWruH5pDG7RSnDc34TIB60AVIpv++mnn+qyWFLJgvChwYMHlzqd4kpPO+lY3PFS8BsrIjGFSQ2O3njjDfPWW2+Z0aNH22Q7Yu2iWiJx6+WqHFHq0sUOkwAdp/iQRV9O0wbcTVlYZfIKSbIuPKPaHIA07tA77rgj9fZJ1RncHCM5sFKSVbkSdL41rtrFEkUwVJJcvPWS9cPJh7wTJ+i7sa5Um/+ff/4xjaTc2tpZgg73Ml6IvEMYma944vavNkcIayoKQDUhaXkSRCs1zKqFNAUh6vEs8LyolPNVDcTQV9NxuyjrU71En3MY1bLyVGVJraVi0/KE178iaYyi4WZRyHvNosdNrhUAFsPPP//cdv0lES6qACC4Qy1uYgRxwkfwMmD5pqwfmh8hHyQPVWrqguJAzXVi23r06GHPkRrExB36ZcFQMijtRO1dYmJ5QFCRhOQ3ylERW+sgtuuvv/5qdxwUAqog+d32gNrhCKPRGrjRLn0hk2TlqKahEdb8LOusH3LIIanCciolB/q4ZGNculkm2VWb7NUqxMVUNxI3blFLP82isMBXWiM/+uijuo4rssFvHJWWOOU+Kfwsz1SaSxjW8hjGw/WvtQFeEtGqQI0AWaFcvHoe7+1yz8UsYu+Tvjdykl9dpxmMVaUy1ojKb4VTAFg0UACwkrp23g5Kf7qHYzTpKA3EXX344Ye2aYhbmIizwip69913l60J+8svv1hXLe53Yn/d4GJ9R4kgVsvFs3PuaGtYsFyFEZJcUBZQDNjeCfZxk9SVj6PebXQS4T6La4Ih/p9KIUDVWPPTkDaGv5oFwZUYS6rxTxxmo60WrUQaBa4zHrBpBCY6Y2IMqLWRVK1WQs7NN16IxlUMKUrDy3Jz0K9vLhqnZHRGBaKsaXTYKZ6HZs6/toKNR5b8p16LChZthGAG0F1IKgLhJv3ss8/sg6jaUohY5YnPJLbQf8iiVWPRr1Sz+fXXX7eW+ahQzv9osn5tYjwFhNv4zSpcI47hw4fbfZWD8npue1H9QudvkzeXaC3EfQen2OT5+3XmucVV/inad8JgkBT24teOTqrb32hw32eRMCcqg/cPJV+ItM9FfvL6PHChQJXOL+uu4qJgCgCWuJNOOsm6wmmm4gYX6/23335rX8cCX20OAOE6WPHjLFjE8COYjxw5MvHzfDYupg1BnQQPPymPZDti/aOT3SUwl0vgGzZsmPVSEGKEGyvKF198YfMG6DJHhnk04SxkarF0NGNBzHJBKvri1lnnn1SyLqvjZ/09sPC68q833nhjKbTH7yCc5C535+KsxH41jUpKQtHnU2hgjEpy/ecxVlqIWnA9Q9KQVyWmWsZKUe0rROpetXgIEm6DIkDMMlVfqAhB/D6d4+JagVdixIgR7YRwH/faDz/8kPh5F7eNouBDszIEfpJzyTFw27Kvv//+u4MSAt9//33F0I+4MB/ChtwDAwvRY489ZuvP4tloBWpRAKIPUfIyOoMsb/KkfSH0+tUFRGNoxILNPl3oWNJ65upi+zk+VNRw4YOuo6lfStdV9aK5Xrlji+bDWnbKKafEPpPyjuZQPj0ARabW75DH792Ww3MqVBUgJjW13rOq9+6E8bhEX/dauRJLPGSx/pMrQP6BixkeOHBgabBJ5sUzQVOr1157zdx6662lpEuUBBqsuO2SqnuQLc4DP64+fr9+/doJCyhFJ554ornooousFyOufr4jrqtyHFgV8xx/mubGKlcVIavEo7SQb1CuPGU937ezwl6KLCTk1QPgg7cQz2YU1haqPlC/+rzzzrOv+fW3XVUv8ohcKclWtToVFY1Lc2Pq4+q0F5EiCJzliqzUU8moUvGWInpLVi3TzTrvjFPvlyf0pVzXO+dOquYiuZChOOHbCf7lypbx+SOPPNJ2GSQ5mWRgqglh9af8F2E7rrIMib/kKhC2RLw/HoH33nvPhvVw7kkJh8R8oihgvYtz/0YthQizVBFB2SDpuJwCsP3225s0EDrQzEox5bwZaReGrMuAVstRRx1lEzXB7x+gh30x6Yxxq1T5p9x58QBUd+jiUMSkzRChch+luotOnsuARivbVaLa+yKvPWza6sjHqFQiPO/KQV0KgLN00ewoqU6v26aaC+GaT8SF37jXKnV8JVmY+HuEeUJ8cN3Spvnoo4+2gp5vXWZxwR3/wQcfWO8DgjqWdUJ8qBwUB+8hsFaT/OvCA1yTnyToIZCmD0Czrf9xeQ/+9S/3fhzNWBCp+JRk6Y32gQidZgs6zPkQrzllhf08KEomUzu9nEUzhDABkR80l0Qj5lOelZh6ufTSS+vu7Os6MueVTPwxJMZhXc+qPjLWc9znCO9R3n33XVsNKK2A7HcppEss1v+4mFti9Xv16lX6n5AgrHX+aw4UCrwFuPyrqQeLpwEqhZnw3fLUCKwWzd0lTVZDnhLpUGDI26iWoi6IeThvLOO1XPO8C8/RIghuXUpSAPIwFqI9eZpPoVqdW82jVNSxKNf4MiSWSNnIq5x8tMEGG5g8k4nEdcwxx5hBgwZZi3tWcOFoJEbIjIOuvlTW8XsA0CDs/PPP7/AwxV3oEn2Bv/FGoFj4nXix+PvHABr3oADgCYizYiOkcNykGv98nv4IPigfzrJPwyjxX/RwEq0yn2644YZ2/+ft/ESYApvID6EkATtCuCfaGlSSlUayeScTDwDJvyS4UvmHGP099tijbmvu2muvbSvxUMuaHAN6A7z55ps27t2v2c/gEY7DOfidHrHSkzhErD3hPu+8844N52F/vluH86QvwLXXXmtDgxDUEeCpox1Xsg/IDcBaSWOyONgnygbnTJUkehJQTpQwJCZFtaExIRNaH4AiE8pDqVnfw/de+PkkDpL/W20sRD4ISegsMnl/xqX19msuVcZVecsz42QZMoFwjTcAgZeOvfVUceFG2Xnnna21HoGc/1Es/DJ7Ttjea6+9OoTikHPQs2dPG9eP9Z+wn5lmmqnDcThH8gKo6T906FBroe/evXspSTgK322jjTayJT6Tvh8hSmeffbb1AuCxoGIQx+f1vC8AzSRPIUCtRijzspnu6azyF/LsxRDFI7Q5VPTvk/dGYJUo6nmLjmRak4nkNirvUFmFmsmHHnpo3fsk2bdcwi+TMSkUh7rrSy65ZKrjYLGLs9pFofpQ0vGi4H0oV+1HSNgRjUMPKpHFHArJ2hnCPVH08Sj6+Yf2PVqZzIuyYmV3SgBhQaJ68J5EreG4k4rgUqqWZpcBFSKPD0eFbIgskbCWPw9lCMpYCN+hlWlIVwYSbU877TSrBIjqIXwoT1WAOouiLyZ6yOaHZo5FNfOYvKBoVTCFAOUH8sP8ohFFpFWqtojOIzQDxVgFlz2aogCsueaaie+RJIsn4PTTT7eJtUK0wk1Y5O/gytQWnWZXbaHZIHk/leD8ZpxxxkLPmdChK/tbb70VlLAjmkcIVYBCM1C0FXgsmqoA0GW3Upe0fv361XMIETj+AqIQoOZCInzRycMDieaA1TQIFMUgD3OrVlpZyMkTIeWUhPI9WhkFXYumojKg+SGp63URKfrDqehWwpAosuAf8ncpIqH1lQjhO4T0PRrmARgxYkQptCf6Whr8zwkRR6vehHmBcJQQKNIDtpKQX4TvIIqBFEohdF/UpABsv/329vc999zT4bU0+J8TItR4QtFcijSHinSurY6EZ6G5pHuiZRUAEtvSvCZErRQ9ByAUIeGZZ54xRSaUcQjle4RCURW2op53iIRSBrRIXtY0jBXI92iYAkA1nzSvifpp1T4AIdyEIXyHIlO06x8n5MsrJhpF0e6PECm6Yh/aHGor+Hjkrg+AqI9W7QNQVA/ANttsk6rsoxAhP0hFvmllQScvhOIBEGEgBUA0lRCsnd27dzd//PFHs09DFKyCzuKLL266detW6O/QKhR9LIp+/qEQShnQ0NansQoqe3R6FaBaURUg0QohQKK5FEmhXGuttWJfz/t5typFHZeinneI38dvBFbU71GkNVZkXAWoVlQFSIQaAiSEEEK0EiF5AFqVuqoACVEvoVgTtBjmi6KPR9HPX+QLzaf8EFL4TJGf2aLOKkBCZElRFxM/sUvkh6LPJ5Efinxvaz7lh1DGIiQlppVRzIVoKv4iEkIIUCgLfJEJ6cGk+ZSfMdBYiCzmUtHXp1C89kJVgHJJK/UB8CnyYlL0RT2U71HkORTSOITEbLPNZn744QdTZEKaT6F8l6KvVaGMQ1sg36OpZUB/+eUXWynor7/+in1/3nnnzepQwdNKfQCKvgiG8h1CoujuaYWU5QeKXxS9gp0stvkhBA9AiJ2AW5W6FYDBgwebK6+80nz44Ydlt1MVIFEJLSaiXkITdkL4DiIfhCB4Fp3QyoCGwFiBfZ9OUwA+++wzc+SRR1qr/9xzz20++ugj+/qiiy5q//7tt9/MwgsvbCaeeOKszlcETCvfiHlBQkI+0DgIESa6t/NFWwsrxnVlXd56661W+KehzVlnnVV6/YQTTjAXX3yxmWmmmcz3339v9tprryzOVQROkRWAooedhEQoYxHCdwgBjYNoxJwq8vMOdF+0uALw7rvv2t9xyalTTTWV2Xrrrc3XX39tBg4cWM9hRItQ1AWxqOcd4qKuECAh0t0fovMJ7fqH8H3GCuA7NEUBIPEXpp9++v/u7H+Va/755592zcNefvnles9TBErRBU6RPzSnhOZUx3silPuiyAJbCDkAodEWyH3R6QrApJNOan+7yj8TTjih/T1q1Kh2/48cObLe8xQtQAh9AERzCemh2soPpjxS1LlV1PMW+UbrU4snAXfr1s0K9998841VBmaeeWbzwQcfmE8++cT06NHDDB061G435ZRTZnW+LUEr9QEIJWQjlMUwlO9RZEK5J4QQyR6AIhNSGdCxAvgOTVEAll56aZsH8OKLL5q55prLLLPMMlYBuOyyy8ywYcPMY489VqoKVAu//vqrLR9KqVEGqXv37ma99dYzE0wwQarPv/POO+bxxx833333nZlkkknMkksuaVZaaaUOwjUejIceesi89dZbZvTo0aZr1642sZkGMD7s68EHH4w9FtWQJp988navff755+a+++6zeRAcn+uz/PLLVzzvVuoDQO8IRyvfiHlihRVWaPYpCCEagNbY5hJCHwD1KQmHuhSAFVdc0Xz88celEKC1117bKgPvvfeeufrqq+1r0047rdlyyy2r3vdPP/1kDj74YCs4b7rppubff/+1ycRPP/20Oe200yoKyHfddZe56qqrzBprrGE23HBDK4RfccUVNh/hsMMOK01iBP4jjjjCfPvtt/Y8u3TpYp599lmz//77m8MPP9z07NmztE8qGqHgHHfccR2UkOj5oEwcf/zxplevXmajjTayx7/wwgutUrLnnntWfT1C5f3337flYkV+CCEUq+gP2aKff2gUfTxCsDqHQkjjIIWyhRWAySabzBx44IGl/8cbbzxz8sknm1dffdV8+eWXNvQHL4HLBaiG6667zioBZ5xxhpliiinsa3gZdt11V3PLLbeY7bbbLvGzWPxRQLBk+sL2dNNNZ0466STz1FNPWeXFKQooMf369TMLLrigfY3wJbwPF1xwge1jEBX255lnHquYJDFmzBhz/vnn294IhPM4LwjXh9fxArhjibDQgth8iu6eloUtnxR9Pol8UeRxkUIZBpmb+sYee2xrNcfqvfLKK9ck/P/999/mmWeeMUsssURJ+HfehIUWWsiG4pTj7bfftkI4ITc+hACNO+645pFHHim99vrrr9v8hahAvuyyy5qff/7ZvPTSS1WfP2FRKCGrrrpqu9dRSDj+o48+WvU+W4GiLohFPe8QrVMhjYUQIixCWJ+UoxQOdXkAGgXegz/++KNDDD7wGkI74TiE68Tx+++/x4blMHFRSLD4uzJcHCcunMi9RkfjaEz0ueeea4/hFAcEfd9LQBI0zDrrrO0+hwdgxhlntMcXYS6OIVD0cQjBOlX08w9hHoVECPMpBFQGNH989tlnplWpWwHA0n377bdboZeETqz3cVTTDMyVDY0m1fqvsU2SAkASr0vCJYTH8eOPP5Z6FzjBf4YZZjCvvPKKDfnxw3rcpOAz/s1LTD+eCc6D70yo0r333mtOOeWUUrUj95mk8x8yZEjZ7+8UmErgTeAnFEFBAoPIai4VeT4V9bxDFjqL/F38kLJQ5laRKfJcCuk7OChY06rUpQCQ7HvMMceUkoBJHiQEqF5cI7G4ZES3f7dNHMTbU6L0zjvvtMI6CgGKCdWJHIQIAaU1SVy+8sorzd577233j+JA9SF/O1h//fXbWfrZ92KLLWaTlUk4dvkQ7jNx589r5c4dtt9+e5OGvn37mi222MIUnaLHbIe0IIbyPUKhyPdEaGgsRFZzqMjrbAjfQWSgAJBoi/BPXP5uu+1mhe4sKoi48Bus9FHcaxNPPHHi5xHiqdRzzjnn2CRgwm5++OEHm0SMwE6OgPs8HoL99tvP9O/f32yzzTZmqqmmshWBNtlkE2vdJ9HZEVd+lERf9osXIXr+VBiKO/9KFYwGDBiQqgxoCNb/EB6w7ry5F5wyXGSKOg4OhQAJ0fGeEPkqA1r0dTaU77DccsuZVqUuBcCFsuyxxx5W+M8Kty8E8Si8hpIx/fTTl90H71MulLAkhH/Cc0giprznHHPM0U5RIVmZOP8vvvjCegpQGGhudu2111oBvxKEDvnCvjt/9hG9Lpw/+y8Hwn+r9AEIKQSI+UbiOMpjUSm6oBBSCFDRxyIkijwWRb0PQhyLkAwURf8Oos4qQM4iPvXUU2d6LRHWZ599dltL34deAG+++aZNvB1//PFT7WuaaaaxZTsR/hHwUVpWW221WK8BSbtY80kUptIQQjjVgMqBxZeOx75Qv8gii1gFg3P1IbSI/IDFF1881bm3GkV/UCH8h0DRxyGkB1ORx6LI594K30c0l6LOpxCMLCIDBWCBBRYoVe3Jms0337zUSddBsjHW/M0226z0GvH2hxxyiG3y5UMXYhKUHVjjTz/9dBuu5CsAf/75pxk0aFC7WP8nn3zSJvYS1uSHGuER8IU8knXpFUBCMs3KHChEHIPuwp9++mlJUSDMiBCjNddcM6OrFBZFXkxCEjqLTCjW86KffyjfQeSPIj8nQlmfQvkOrU5dIUB0zsXKTaz8UUcdlWlMOg3Edt99d3PNNdfYhFys/1TqIYQnWrOf7ryU2Ix6EUhQ5obDuk/ozSqrrGITbP3wH84Zqzzx/3gJ+JvXSOyN9hEg1Mc19kIxoLsvVX1I/qW5lw8Ny1AqDjroIDPTTDPZsqUI/3QHbqXwnlagyA8kH3pvhLSohzIuQohw1iRkmVDQGtvCCsAss8xiO/+ecMIJtoIOCbZxpS/Bt9qnZe2117aWdEJ3mGgI0uOM0/6UEe5PPfXUDp15OZdLLrnEDB8+3MbnUwkoLokXZQClgIo6eDIQzl0Z0Sh9+vQxG264oRXm6VLMd6W7cBwoEfvuu6/dN94Hzi9pv61OSElRIaBxyAdFV8ZCmEchfAeRL4p+X4f2PVqZuhQAwmduvfVWKwzz89VXXyVuW4sC4ARp8gHK0b1798TFO63QjXIw55xzVtyOfeIp4CcNVBHyKwmJ8te2qGgxFI1A90TzCeHeDuE7hEBo8fMhfIdWpi4FgJj4F154wYbfUEkHC31opSmbAWFG0XKq9CvgJ0SKXgWoqOcdx6hRo2KrbxUJCTtC/D9qBJbPMqBCFFoBePbZZ0sCa6VqOSI9Z599dkvmCYQkSBcVGtrRJ6OohDCHQkoUFEKEV0Kz6OcvMqgCRFKui7cXopWFNiEage6NfFB0gafo5x8iRb23i3recbS1+H1RlwIwwwwzlMphClELJHkXPQQIWn0hyROysOWDIt/PIX2fop53iITk3QvhO7Q6dSkAa621lv393HPPZXU+ooXRg0pkOYeKOp9CERKKfv6hwXgU9Z4IMQegyGMRwncQdeYArLTSSrbRFcnATIiePXsmlgGlu64Q5dBiIoQQImSK7qEMxUARyndomgLgl/a88sor7U8SNPMSohxSAJpPKAti0b9H0c/fv5/9juxFpejjUfTzD+W7hOIBcITwHVqZuhSAbt26ZXcmQhScPffcU2Vwc0RRH05FPe846Hr64YcfmhAo6rgU9bxDJISxoPjLoEGDzDbbbNPsUxHNVAAuvfTSeo8vYmi1PgBFt4i4855mmmnMxBNP3OzTESI3/PHHH6boFNniHGIOQNG/Q9FDgPx7OoSxaGXqUgDee+89ewEXWGCB7M5ItFQfgKIvIKFR9AXRudiL/j2KrhRDCOMQSuOmEL5DiN+liISUA9Dq1KUAHHbYYfa34vtFFoQg7BT5O4RGUceiqOcdIiEIO5pP+SGEsQih0pqjrcD3ddPLgE466aT29+jRo7M6HyEKhxZE0QiK/nAqunAQkjcmJIo8DiEkARf1vEXGCsA888xjfw8bNqye3QgRxMJSdIEtlO8QwvcoupAQCiFd/6LfEyEQSkiZCIO6FIC+ffuaccYZx1x33XXm77//zu6sREsRyoIYyvcIhZCEN9E8QrqvdU80n6LnxoQQFicyyAEYMmSI6dWrl3nyySdtCcRlllnGdOnSpUMFG79rsBAhhs9oMcwHIVnYiv49in7+IGFHNGI+Rf8uEiF8B5GBAnDxxReX/h4+fLi5/fbbE7eVAiBCJaQF8c4772z2KQiPos+nEAghHCsEZSwUij4WISnFbQF8h6YpAFtttVV2ZyJatg+AECI8iiwwh+RRCmEcfIo+HkX/DiEZvNoKPA5NVwA222yz7M5EtGQfgFBQGVCRFUV/qIYS6xyKAiDyQwhVgEQ41JUELIRo7xLVop4PQhDaQvgOIh+ENJeKvMaGED4TwndwtAXwHZrmAYi2h/7000/Nb7/9ZiaeeGIz22yzmQknnDCr3YuAafWbUDSGIgsKIVgJi3zuIRHaOBT5eRGCB0AhQOFQtwLw66+/miuvvNI89dRT5p9//vn/HY8zjllxxRXNjjvuaCaZZJJ6DyMCpaiLYBzyAIgsCOmeKDohhQCF8j1CGIcrrrjCLL300qaIhOQBaHXGqdfqf9hhh5nPP//c/j/jjDOaaaaZxowYMcJ8+eWX5tFHHzWffPKJOeOMM8wEE0yQ1TkLkTu0GOaLEMYjhO9wzz33mCITkgIQinJZ5O/gn/vo0aNNEenatauZYoopCj8Wjmeeeca0KnUpAHfddZcV/pkMhx56qFlggQVK77377rvmtNNOM5999pndbvPNN8/ifIXILSEJCiFQ5IdTCHPp6aeftj8hzKFffvnFFBnmE8/q+++/3+yyyy6myBT93ij6+Y899thmwQUXNCHQVvCxaKoC8Oyzz9rfO+20UzvhH/if188880y7nRSA9KgMaHEpstAp8oHmUP6EhPvuu6+wVe/cfHr++eetZ17kg1YXPvPAv//+a1qZuhSAb775xv5eZJFFYt93r9MkTKSn1cqAaiEUWSHhWTQqBKjo61Qo90aRQzZCCikL5Xu0MuM0Uotyr0ebWqXlq6++MgMHDjSDBw+2N0737t3NlltuaaaddtpUk/Ohhx4yjz32mPnuu+9sIvKSSy5pNtlkkw7C9ciRI81NN91k3nrrLRuX161bN9t0a5lllmm3Hft5+OGHzTvvvGP/nnrqqa2nY6ONNjKTTjppu2333ntv88MPP3Q4r8UWW8wcdNBBNV2PEAnloQRKAs4PRX84Fb1SSIgUeSyYTyuttJL58ccfm30qLU2R51CI36et4M+JpioAJP0OHTrUvPbaa2bVVVft8D6vu6SRavn666+toIzQf9xxx1llgmpDBx98sLWQI3yX49JLL7XC+nbbbWd69uxp93fJJZeYt99+25x66qlm3HHHLQn/hNxQsnSPPfYwXbp0sSFL5C8QK+l33911113td95iiy3MHHPMYd2pnNMTTzzR4ZxGjRpllYM999yz3Xm544pwKPoiGBpFF56Let4hEkLJQ3fe9957r5lnnnmafTotje8B+P33302RCUF4bgvgOzStEdhyyy1nf1911VXm1Vdfbfce//M6rLDCClXv++qrr7aeA5SAmWaaycwyyyw20Zib5sYbbyz72WHDhtlkp7XXXttssMEGZvrpp7eWdwT9jz76yDz44IOlbe+44w5btYh9L7TQQmaGGWawXoKVV17ZDBgwwPz888+lbSlriqBP+S68EOyTz2FVufPOOzucB6VQJ5988nY/rRTa02rIA5AfXHiiEPUSipDw5JNPWq+6yMd8IpKg6BRVKQ7t3m6KArDeeuuZueaay1q7jz/+eLPtttuaAw880P7mf17H4rDuuutWtV/CcF555RWzxBJLtCsfShjPoosuai305ZI33n///djchPnmm89a+ulZ4HjvvffMlFNOaRUMH47z559/mhdffLH02r777tvBgj/zzDNbRUULa2vDQiIFID/g6Suy8oIBRDSfEBo3+YTwHYqMcgDyRVuLKwB1hQCNP/74pl+/fub66683jzzyiLWEuxhDugGvttpqNmZ/vPHGq2q/X3zxhW0qhnAdhddeeOEF8+2331prfRxjxowplauKwmt0LEaBQHBn27jtsN7DkCFDyp4rWjz7mm666Tq89+abb9pGaBwDLwSekDXWWKPmnAiRT/RQzQ8hjAVeSnqsiOYTksAGRX/2hDQWIVD09batxedT3UnAWOgp97n99tvbOHtCdAhzIe4/TrBOgwu7iesg7F6jLnOSAjDrrLOWHqSE6fiKBZ2LgQcsSgrb4holDIgmZo4PPvigdJwk8BDQ0Q9lwc8VgNlmm80K/HPPPbf1aFC54LLLLjNvvPGGOeKII8p+/7SxgXgjlFPQfFAAmQtqdtd8br75ZjPvvPMWenEvupAWqgJQ5HFxz70iC2ycO4bBIlPk6x+lqOuryLgKECDsE6vf6JslTRtqEof5oQEZAjjhPAj4F1xwQWlBd5/v3bu3Fc7PO+88myNAnD7hRy5PIOk4CH3nnHOObXS28847d/juxxxzTLvzn3322a2iQLWhl19+2VYkSgJlKg19+/a1CclFp+gLCTXCH3jgAVV3yglFj63117iQBAbRHAhPLXpH5qh3v8iEUlY2BNpafAwyUwCyxFn54yzh7jWs9+U4+uijbRIyFX+wGqCgrL766jben+pE7vNY6k888USb8EvFILbDE7DffvvZz0411VSxk+bCCy80zz33nG1wtv7663fYJu7Bvfzyy1sFAAGlnALAuaRJFg7B+h+Ci/23334r/S2BrfkU/QH7+OOPN/sURAxFvbf/+usvEwJFvf6hfQcHctOHH35odtttN1NUvmnxYhHjdJZlrZrW0ZTaxN1KSFGcNYOcgqTwHwcCPrX4KcNJuA/Jv+yTUp8kA/s3It4COhb//fffVllgWxcCNP/883fYN+VEyXmgWhA5DmlxAnslNybCf6tUCwphQZTFVmQJIYMiH4SQBOxbzYscxhTKvX3NNdeYEAihq/R3331nWpmqFIBKsevlqMYFiQcAwRtLvZ+ki4BODP3iiy9eStKtBAues/ZT8Yc8gG222aZiTD0hQNT1X2qppdptQ91/wj0Q/pP2k4Tri0DlJPH/FNVS6yiqYCDySa25UyJ7eOY4D19R73OKdTiK+h2Kfu4OQpF/+uknEwK+57uo/BTIWHSKAkBjq2qgHn+5JNpybL311ubII4+0YTyE5hBzTxItyZa+1R0FgW05N19BueWWW2z8P6+jBFCRhzh/KhP5Qj0aef/+/a1AT21/kqXIHaDUKHH8fpgN1Y4GDRpkNt5447LCP5/FU0HnRRqL8RB5/vnnzbXXXmvmnHNOGwokwgkBkgcgnxR1XtG4kLVTNB9CPYsugPrP7aJ+h6Lf06Fc/9AYMWKEaWWqUgBOOeWU1K4hhF0n/CP0VgseAOL4iYffdNNN28XrR2v2028gmi/AQ5Ra2pwzAjjCPUJ+tFoP1hEUBY5FV2AUChbM008/3Xb79bVdKozAQw89ZH98SPI96aSTSv0HUACOOuooWxaV45N7QA4CibtpvRetQEgLYtEfTiIfuCpmIl8Uda0KoZtxaMYikQ/aCj6f6iVTSRRhd+DAgebRRx+1gjRx+ltttVWpY3C1UMKTH5KYuHHikl5xl2OZj76HknDsscfa8+AnqRcB+8UrwA/eALaLi5MkJp/jJOEL9YQwbbbZZvYH4Z/jq0RkuITygA2NoobS+Oet+ZQfNBbNJySBTfOp+bQFNJ+apgBgfb/jjjts6AwhOlNMMYW12q+11lqZWLsrNRKjdGe5h2laQaCckM7NWu44SahWf+XcEOfhKTqtvpjkBfp/AMn8RcQZIDSfRBaEJGgW/Z4IZSwonR4C//77r2ll6pLOsW6TEEtoDOE+PHApi9mnT5/CPnzzAP0Iol4IQpei4Uuh8NZbb5kio8oa+YJk/yKj+ZRPiiq8+edd5Ln1+eef29DaIuOPRdGVGdGiCgAT9+mnn7YhMdRRxcKOtZ/4dmLdRX2cffbZLVMGNISFUCFAIkuc17To90VohKAADB8+3BSVoUOHVlV2O48UdQ6FypgAGst1qgKAtZbE3CFDhtj/l112WVsRp2vXro04P9EChHITSmATWeCstKy1KhmcH4oqvPnn/dJLLzX1XFqdos6hUJm8hrDullUAKItJHX7X2IvynFTQEaIeQhKctcCLrBQACirMNNNMZr311tNFzQFFvbeLet4horHIb4+MVqQqBcAJ/5NNNpkNUaHWflooiSlEiIk4ftKmFniR1XwCGheKfFDUe7uo5x0iRc7BCJF/Cy57NCUHgIRfuRJFVhTdA6AHrMgSCQn5pKj3eVHPO0Q0FvnirYIXIOlUBeCwww5r3JmIliUULfz999833bt3b/ZpiIKjRoH5pKjCW1HPW4hG81CkoWurUZUCQMKvEFlTdAXAPWBpgLfMMsuYxRdfvNmnJAqMPAD5RIK00BwSIZFpJ2CRDa3WB+DSSy81oSAhQdSLFACRJVqT8oP6AIg8IQUgh7RaH4Cio0VdNGo+ifxQ1HEp6nmHiHrGiDyhlHQh6kSLusgSCWz5pKjjUtTzDhGNhcgTUgCEqPcmUmk3kSESEvJJUe9zzad8jkWrN6ESzaeYK5oQQgSKBDYhwr+3F1hggaaeixBSAIQQIkeoDGg+KaoHQORTASh69TtRfLSiCVEnygEQWUKndUfv3r11cXOCPDMiyzkkRV80GykAQtSJBAORJX5s8HjjjaeLmxN0n4ssmW+++XRBRVNRGdAc0mp9AIrOt99+a0KiS5cuzT6Flma66aYr/a2wEyHCZMIJJ2z2KYgWRwpADlEfgGIRWiynXNP5QVbn/KCxEEKEhEKAhMiQtra2wl9PCTr5QR6A/KCxEEKEhBQAIepkgw02CNYbIJqLlLH8oLEQQoSEFAAh6mSqqaYKSgHo2bNns09B/A8JnUIIIRqBFAAhMhTSxowZU/jrufTSSzf7FMT/UNhJfpAyJjSHREhIARAiQ0LIAQjhO4SChM78oLEQQoSEqgDlEJUBLa6VViU0RZZI6MwP8sYIIUKiEArAX3/9ZR+E4447bk2f//33380EE0xQcQEnfINjpanP+88//9jtxx9//Irb/vHHH3a7tA8QlQEtFqEJaaF9nyKjscgPGgshREjkWgF46623zFVXXWW++OILG5Yw++yzm5133tnMO++8FT/7559/muuuu848/vjjZvTo0fbzSyyxhP38tNNO227boUOHmv79+5v33nvPCumTTjqpbbq18cYbdxDahwwZYi6//HLz0Ucf2fdo2rPddtuZJZdcssM53HHHHWbQoEHmt99+s8cnuZLjTznllBlcHZFHwSCE8JkifwfuyRASsR2yOucHKQBCc0iERG5zAAYPHmyOO+44s8ACC5ibb77Z3HjjjWaWWWYxRx99tBk2bFjFz5966qnmkUceMQceeKC57bbbzGWXXWZGjhxpDj/8cOsRcHz11VfmsMMOs3+jbLDtbrvtZo95zTXXtNvnN998Y4488khb9eWGG26w2yy77LLm5JNPtsqKD+9de+21ZpdddrH7vPTSS82XX35pjjnmGOs9EGHy+eefN/sUWppavYR5RUJnftBYCCFCIrcKAMIzgvYOO+xgH+qE8Oy+++5mvPHGMwMHDqyoPLz66qumd+/eZvHFF7dWNKz+++67r/nuu++sVd5x++23W2/BfvvtZ4/HtlRBWXvttc1dd91lt3fcdNNNNuxnr732MhNNNJHtmLrllluamWee2Vx99dWl7X799Vdzyy23mFVWWcUqCC42HMXis88+s14JEaZgIAWgubA+hISEzvygsRBChEQuFQAEaMJxEN7HHnvs0usoAosuuqh55ZVXylrRCdOBeeaZp93rM800k5lkkknM888/325bBP9o8uZ8881nQwlefPHF0msvv/yymX/++c3EE0/cbtsePXqYTz75xHz//ff2/zfeeMPmEvB6dJ+EF73wwgtVXhGRZ/yQriKHz4QQdlLkcxf5w3/+SAEQQoRELp+WhMogfHft2rXDe926dbPC9fDhwysKAXE12XmNnAL3HtvGbecUDGfR/fHHH82oUaPs8ePOCVxokvsd3ZYHCN8pTQiTKA5+Tkma/JS8s9xyy5miEoIC5oN3UjQPvLZxyoAQtTD55JMHdeH69OnT7FMQIXoAgDCbKO41EmuTcJb/aFw+oUFU5EHg57fbltyAaOjGm2++aX8j9Kc9J7dNuW3xHrj3kyBHIc3P33//XXY/onPwLYPkqRQdQttEPsDYIZpHaEK/mvw1l+7du5uQCC3nqtUYp2jWPPdaOXcs1YKWX355c99991nrLBV68BhccsklthwnVjXnJUCDfeaZZ8zpp59urT2EAj333HPm2WefbfcAcMcrd05un+W2xbNRyZW8/fbbmzT07dvXbLHFFqm2FZ1DaBYe0VyoMiaaR2hhP3FedSFqJbT7o9XIpQIw2WST2d9xlnL3mtumXDOtOeec0zzxxBO2Cg9x2htuuKH1CmDdd9Z5FISzzjrLJvief/751qo+22yzmRNOOMEcfPDBpdwAdzznESh3Tv6200wzTYdtK537gAEDYr0HUaR9528RJEdEiKxQTkNzkYAjhO6PUMmlAkBVHcIQ4mLleY0wmkqWMSz3CPz8OLDI33rrrWahhRZqt+30009vqwD5vP766/a32xbLLsnC5A/EnRMPillnnbXkgQC2RZlwEHpE2dHFFlus7Lkj/KdRAELgiiuusL0RioyEBNEopAA0l9BCgIQQItc5AJT8pGkXpTxp4uVbz6mws8wyy7R7MP7888/tavsnhd9Q/WfEiBG2PGglKBWKQO8L67169bJ5BD/88EO7ZGGq+qAouPCPhRde2Fb7cWFEDr4PuQdFTrLMGiojCSHCVQDSdEvPK6EpAKElyQshaie3T5dtt93WWszPPPNMa0knSfe0004zE044oa2972CbrbbayvTr16+DZfnee++1FYWI/7/77rvNueeea7beeut2YRooGEcccYS1+KMc0OGXJmJ0Bz7ooIPaPYA33XRTM8UUU9jz4P2vv/7anHfeeeaXX34xO+64Y7sHHv0LUAzoB0B5UEKPaAa2yCKLWAVG/L+yV3TkARCNgvWu6NC8saiEoIAJIURhQoBgxhlnNGeccYZt+kVHYJdBTxOuqaeeut22WNujITObb765Dfc55ZRTrJBPKA5dfBHAowIoCgQNwRDq2Q/bkA/g13cHLPwoJHQBZr8oH+QZkEDsh/rAqquuas8LTwLJyPQfoDHYJptsIoFRiAYRmoWzyAoyayme2SJ/B3kAhEhGxq9ik1sFwDXuOvTQQysu0HGdgUm0xSrvW+aTwCOQNnkT5WOfffZJtW3Pnj3tjxBC1LoGFhU8q0cddZQpMqEpAEJkiRSAYiP/phB1okUwP4TmAQihsRxFFopKaApAaPeHECJQD0CrQgnTaOzpOuusY3+EaBTkyay//vq6wCJTiqzEKAdAiNZRkFsNKQA55Oyzz26ZMqAhEIoHgJ4YRUcPpPxA08OiE83tEkIYW8iEqopFL+Hd6igESIg6CUUBCAES/UU+CCHcZIYZZjAhEcKYFJ1oc9AiQlGTUKqUtTJSAIQQwSgy3bp1a/YpiICEzUpd24sGDTZFc6GaYdEJ4VkhpAAIUTdaDPPDPPPM0+xTEAER2r1d5KZsIj8oNyYM5AEQQgQn7PTp06fZp9DyLLroouawww4L4jqkLRMtGkdIDTQ1n5rPiiuuaH+3cql2KQBCiOAIIaE5hHCsjTfeuNmnITyK3JSN5puhGFqiTUaLRgjGolP+N58uuugi06ooIFDkgl69ejX7FERAhPCAEiJrdtppJ13UJrPZZpuZMWPGmCITwvo67rjjmlZHCkAOacU+AAceeGCzT6HlCWFRF0IkM9544+nyNJkePXo0+xTqJrTk+FZFCkAOacU+AEV3iYp8MfXUUzf7FERAhKAcF11ok/KSH1pNPgkV5QAIIYIRckL8LqL5KJeh+ShkQ2TNzi3eyEwKgBCixOyzzx7E1ZACILJkrrnmKvwFDeWeWHLJJZt9Ci3PhhtuGMQ12HXXXU0rIwVACFHilltu0dXIAQ8++GCzT0GIXNKvX79mn0LLM/3007f8NQgBKQAiFxS9a+igQYOafQoiIGvnNNNM0+xTEIEx3XTTmRAo+r0tRF5QErAQGdU8F0KIPPLAAw+Yv/76y4SAFAAhskEKQA5pxTKgRfcAwNhjj93sUxABCQl33HFHs09B/I8pppii0NeiS5cuJhRCuLeFyANSAHJIK5YBDYGXXnqp2acgAlIoZ5555mafgjDGXHLJJYp5zhFSAITIBuUAiFwQgsAmhAiPEBo3hYQUgHygghHFRwqAyAVSAESWSEgQIkx0b+eDUEpGtzJSAIQQQghRCKQACJENUgBELlACrRBCiHLMOeec6ggsREYoCVg0neeff96MN954zT4NIYQQOeamm25q9ikIEQzyAIimI+FfCCGEEKLzkAcgh7RiHwAhskRxwkIIIUSBFYC///7bfPnll/bvmWaayYwzTnWnPHLkSPP999+bSSaZxHTt2jVxu3///df88MMP5qeffjJTTjmlmXrqqTsIER9++KH5559/Evcx33zzlQT3jz76yJ57lEknnbRifW/1ARCidpZeemkzwwwz6BIKIYQQRVQAHnzwQXP11VfbLowI6L/++qvZbbfdzPLLL59K8D/vvPPMW2+9ZWaccUYzYsQIK9jvt99+Zu6552637dNPP22uvfZa8/vvv5tpp53WfPvtt2ayySYz2223nRUm/PjD3377rcOxPvjgAxvGwvtOAejXr59VALp169Zu2/nnn9/uVwjRGC644AJdWiGEEKKICsCLL75oLrroIivwu9CXW2+91Zx11lnWOt+9e/fEz6IsHH/88daaf+GFF1oh/K+//jJnnnmmOeaYY+x+2Qd88skn9vVll13Wht6MO+645s8//zRnnHGGOfXUU+3n8TzAscce2+FYb7/9tjnyyCNNr169OlQnWHjhhc0hhxyS8ZURQgghhBAiwCTgG2+80YbK+HHvG220kRXcK1UCQCgfMmSI2XDDDUsWeCz0u+66q7Xg33HHHaVt33nnHduEiuM4AX788cc3a6+9tlUk3n333bLHeuSRR+zvNdZYo67vK4QQQgghRMsqAITvDB061CyyyCLtXie8htcQ8LHSJ/HFF1/Y37POOmu711EeCO155ZVXSq85BYEQIR/yBvz340CZoIQlHgJCe6Lgdfj000/Nxx9/bH755ZcK31oAYVMDBw6MzZ8QxUfjGy4a27DR+IaNxrf1yKUC8NVXX9nf0003XYf3eA3L/DfffJP4eSz4QEy/D5b+P/74w37WJfMuueSSZq211jL9+/c39913n3nzzTfN3Xffba655hqzwQYbmIUWWijxOOQOIOSvueaase+/+uqrNryIUKKtt97ahhCRXyDKL0J4f6QAhInGN1w0tmGj8Q0bjW/rkcscACe4TzjhhB3ec6/FJeM6FlxwQesteOGFF9ol8WL5d4Ilx8AbAKuuuqr57LPPzPXXX19KAsZ7sNJKK5U9z4cfftiGFsVt16dPH7vfiSaayP4/ePBgc8opp5gjjjjC5hXEfbfo968EIUvRvAMhhBBCCCEKpwC4Up9Y+qOMGTOm3TZxUAJw4403NrfccouZYIIJrJV/+PDh1rJMJSBCjFzzKQTzww8/3FYWOvnkk61AjVWfSiIk8GLBn2222TocA4WBBOIVV1zRlvaMsv7667f7f9555zU77rijTS5+4oknbI5BEttvv71JQ9++fc0WW2yRalshhBBCCCFyqwAgpMPPP//c4T33mtsmCUJuELoJ0yHpl+0PO+wwG95DjX4UA7jnnntsONDOO+9csqajHPD/k08+ad/fZ599Mkn+5Xxg2LBhZbcbMGBAyXNQDln/hRBCCCFEEDkA1O0nRIYE2ii8Rl+ALl26VNxPjx49zIEHHmhr8h988MG2dCgW/8UWW6ydQoHAP/HEE7f7LI3D8DJQSjQKYUQoB5znAgsskPp70ccAnPKRBMJ/mp8kBYBchkbS6P03mqJfn6Lvv9EU/fo0cv8a2+Zen6Lvv9EU/foUff+Npshr230F339hFAAEW+rqk0TrC+DfffedrQC0yiqrtNv+vffeM59//nm710aPHt1hv/fee6+Nr6ecqIPwHkJ+3n///XbbUh4Uz8Dss8/eYT8vvfSSreqTZP1PiuF/4IEHSopJIwlxomZJ0a9P0fffaIp+fYr8kGw0Rb72Iey/0RT9+hR9/42myGvbfQXff2FCgFwID118aei16aab2nwAykN27drVbLLJJu1yAgjtoenWSSedVHr9qquuKpUNHXvssW0C8GOPPWb233//UmMvl6xLsjCVejgOVn3KiN588822BGg0lt+F/6CkrLzyyrHnzrEGDRpk8wM4XyoPPffcc/aH45VrYiaEEEIIIURLKgDE7J933nlWkH7wwQftayussIJZb731OlTQmW+++cwss8zS7jWafj366KM24RZvAJZ+qu+QIBw9Dp2BqehDbgDWfV7bcsstzWqrrdYhzAbrPj0IUAxcFaEonCfn8/jjj5s33njDehJQJlAyJPwLIYQQQohmklsFwMXhI4iXA+v+6aefHvs6ITppknTpG4BikQZi7xHkK0EZ0R122CHVPoUQQgghhOgscq0AtBo0KqumD0AShEvVu49m7d/tt6jnr/2XR+Pb3Pmje7d516fo+9e9G/b+iz6+Rb72We7f7cPJk+UYqy3NVqJTGDFiROoeAEIIIYQQQsSVk59mmmlMOaQA5Ag0wB9//NHmOIw11ljNPh0hhBBCCFEQsOlTeGaqqaayhXDKIQVACCGEEEKIFiKXfQCEEEIIIYQQjUFJwCIz6MlAszaqKlFKtVwYE6VZf/jhB1tVic7OlUKevv/+exsiNd1005U9/rfffmvdXmynMKpsIbmIEDVci4xbOWjgR+frqaeeukPZXsYp2rjPhw7cM888c4fXf/vtN3t85hYVwkS2bmNykPjNmFFFLQk6oXPvcp9V2pY5wFyYfPLJzaSTTlr2HFg7KJk87bTT2jkgsoNml6yhjEFS+epqx4yxYr1l/BmzcuEGHJ/xZS1gzohs+fnnn+36SMz3eOON1+ljxnwZNWqUPX50vRf5RausqJtPPvnE3H777ea1116zwiGLEcI3pVVpruYLCAh+/fv3t52WWYBYNOi1QHO3ddddt8O+H3roIXPTTTfZhQuhj0WJ0rDRJmz0fLj66qvtvtiWRXD33Xc3SyyxhEa4Tuhgff/991uhjzFAkKBD9jbbbGMb8PnQs4MmesQgIkDwAJl//vnNjjvuWOqqzXvnnnturGD55Zdf2mZ8l1xySel1Hmz06qBHR5cuXayguuiii5q99967ojAjysO1vOOOO8yTTz5plTrGgHuSJobbbrutHUMH9zUNFp9++ml7n3OfMZZrrrmmbdzo90x5/fXXzTXXXGO++uorKxQwdxi77bbbziy55JLtzuHdd9+1PVo4LsIDAugWW2wR24RRVMerr75q7rzzTvPxxx/bMWMcGNPNNtvM9rnxSTtmGGJYk++66y47XswZxp57fPnll2+3TxTK6667ztxzzz1Wcf/ll19sL559993XlsoWtYMRjT5JPCMxqqA0M2aLLbaYHTPfiNKoMUOZoF8TMgDzi2fDKqusYnbeeecOPZREDqEKkBD1cN9997W98sorbf/884/9f8yYMW333HNP27rrrtt29dVXl7b7888/27beeuu2nXfeue27776zr/GZAQMG2G2feOKJdvsdOHBg22abbWb37fjxxx/bbrrppnbbvfDCC/bzgwYNKh2/f//+bb1792775JNPNLh1wPhcfvnlbV999VXptZ9++qntiCOOsNd32LBhpdefffZZOw5s7+bCiBEj2nbfffe2LbbYou33338ve6wHH3zQfp5x9zn22GPbtt1227bhw4eX9skcOvTQQzW2dcK99cgjj7Qbm7feeqtt4403bjv88MPbbXvUUUe1bbTRRm2DBw8uvfbkk0+2rbfeenbMHcwV5gbb//bbb/a1P/74o+3EE09sW3/99duGDh3ablv2ee6555bmDOsA8+Cxxx7T+NYJ99KHH37Y9u+//9r/R48e3XbxxRfb6/v000/XNGbXXntth/X6xhtvtPPg1Vdf7XB89vvGG2+Ujn/ccce1bbXVVm2//PKLxrcOvvjii7ZbbrnFPhP9cdxpp53s9WX8GjlmPM932WWXtgMOOKBt1KhR9rUhQ4a0bbrppm0XXXSRxrYAKAdA1M3aa69tLe3O0o9bEWs+YThYbR2ffvqpGTlypLUQYFkCPoM1CvAgOD777DNrsaCZmm/FxyLhtnfccMMNttOzsxhyfKzTE088sd2HqB3GB2tO165dS69hQcSzgwXYHzMsiLDxxhuX5gKuY5rxYUXCSlSORx55xI7d6quvXnrtgw8+sMdgzKeffvrSPrE4v/fee6Vjitrg3lp11VXbue0XWmgha/HFS+dqSmNhfOutt6znZZ555mnX9Zy54Y8D2zE3uB9dqNgEE0xgNtxwQ2uJfPPNN0vb3nrrrfY3c8zNGbwPiyyyiLn++utT1bIWyfTt29fMPffcpXBIwjNZG+HFF1+sesywHGN1xsrMODm4P5kH1157bek1vEN4hrEwM57u+Lvttpv1Jt17770aujrAU4rnnGeigzFYZ511bEjOhx9+2NAxe/zxx83XX39tn9EuJBMvL55/vBJ4A0S+kQIgGgKLDsKDE/SBvxHwWJx8UArACXi+MIiAgavziy++sPHfcSEMKAsIJj64QxFkEEwQXkS28DBwY+pw4xc3vi4vIwnGlwcWAqkfb0oIA0TH1/3/yiuvZPJ9RMfxJf4bIRAQzgkLcfeqf58TsuPfu+7v6LZuXvjbMr4oFNGcEsYXAYJ7WzTm3iUEs9ox++abb8yff/5ZCudzoGDw2tChQ0uCHwok20bvXdYBBM+XX35ZQ9sAGDPGw63NjRoz7l0MB/PNN1+7bfksSqNbu0V+UQ6AyAyEOGL0EdSxFLA4YB1wECO400472ThThLzu3bvbxQor/bzzzms22GCD0rYIgyxgxBw/9thj1sqBsE9cI7Hfc845p92OmPGoUOEgbtElMvG3qB0sQ8OHD7cCH54cvC5YiZZeeunSNlieULjOOussa3lkjLHg33fffTae3Bc4ojz88MP2N94CH8YX5SH6WSxOCKhu/EV9cI8gyBOH//zzz5uPPvrI7L///u2SBLnvTjvtNHPxxRfbscdiTJwwFkL/PkcAYByJIwbuWeLKsTRigVxqqaXaJZtGcwLA3a+ML949UTsIYyhS/OYevuWWW6xXAOt+tWPm4roxysStEe45wNrt7s24tZfX8OCJbBQ6Yv+5/u+//7599pIn57y2jRozto1LJHbH1dqcf6QAiMwgCZekIAR1QOiLVnNBcMDigHufxYPQEIQ5tvUruyAYsC8s+SSEsjhhnTruuOPM0UcfbZNCUShIEIW4ygPuNbeNqB0W8wsuuMA+RLAWzTXXXGajjTZqt/hjxSV5EwHx/PPPt6FCbLvMMsu0cz1HQZAkCRUL8+KLL97uPbxICJhx1SpcwqioH5K3sdhxj3FP9u7du4MVcIEFFrBKOgIk2zJuWAvpXj7TTDO125bPY3m87LLLSgmlCPJ9+vQphaO48KK4e9d5BDS+9YPSTtI944Wix33JehtNoE8zZliCWbcJy8Oz6sK2UBxR9v31ttL4Inz6+xC18cYbb9hEfu4Vxoz1ljBbR6PGjG3jvLp67hYHKQAiMxDMgbhdqvJQ2WPYsGFm1113ta+zYBx44IE2rODyyy+3ixJWKeKAEewPOOCAkqDoBD5ivZ0rEy8AlsajjjrKhggRw+i2Yz9R3Gt6wNQPAj9CvbM4oQwcdNBB5tRTT7XWRMByjIUYyyLjxnXHG3TyySfbceczceU7CeNB4cNrEB0rxjdubN34qlxkNhAX7mLDsfIxZvw+/fTTS/fYSSedZD1zjLEbc3J8TjnlFGstpqKIsyYy3gsuuKC1IJOLg+KI0s6c4fN48Mrduy5sT+NbPyjQ7t7FIzpw4EBz/PHHW4+Oy7dJO2YoAuRrcN8zH4j3RrGg8pcbK2dxrjS+vF+pU6moDM9M99wkJp+xwXvH8xdlr1FjlrQ2u9d07+Yf3X0ic1hwKDGH25jykc7N+NRTT1mrPsKhC+lgEUGQx72IZdHhEpvmmGOOdvt2/zv3otsOq2VSrCt9BkR28FChJBwPEZLLHChyWBURJJ0gj5eGknR4hVAK43D5HiSjRmHssDLHua8Zc41t9hCaRyI3wj4xwUACN+FdJPc74R969uxpll12WXP33XeXrIeEBXHPo/gjSAJKP2V5mTOUpXTziHGPu3fdaxrfbKE8Mvcj6y3Jno60Ywas62eccYa91wkFpLTkcsstZwsDgLMKu7FLGl8nnIrsIPwGYR+Dir/eNmLM2FbP3WIjD4BoGAh/WANcfW+XxBvXVIRtiS33Lc7EMzrlweEEQaxaMMsss1hLQ1xjKeJeOZZfJUFkA5Z8hAn/AeCahEWtem68cU9H4TO4pqlQEZcjgNWRahN4knzBE0sX1kyXCyKyhXEEN76V7l3uc4QOwgTYFiHB7cPBe/46gNWREMGke5d9RA0AIrvx9a972jHz12eszD4ImHyeNRncvclYUpDBgYeY1/xqUqJx926jxoxtMd6g+PtJ/C5xX/du/pEHQNQNFtooCGeUliOWlB9wTUScVdFB7CLCv1uEgEZfPJCiVV5cWVFXooyHE1ZIXncWSMDTQAjDSiutpBHOeGzh7bfftu+RvO1gfPHMRCuJuPGOa/xDgjfCYzT510E8K4IiSkD0c3gZok1sRDbjy32HIueULgR17keadvkgGPAaAoAL1eM+5vVokueQIUNsrLE/DwhdQGAgL8iPWX/mmWdsk7moQCrSw3WMC9FAEed6+/duNWPGfqOgoL/wwgu2LKUzACBwduvWzeb3+OVcmVsYhaLNHEU2966r1OOPbyPGjHuX+YVnP7o24ynAqCPyjTwAom722msvm3SExk9lFhLJqESAEH7kkUeWFhfckIQX4ILErczfhOkQOsIC5WKQgfJkJJkSrwqUGiMMgSoVCPwIhg6SEIlTPfHEE83mm29u90WlIdyhhDKI2uEBQYUeFnuuJ3GggwcPti5kLEB+JREqTzDexx57rA3rQnhj2xtvvNFajuKEddzUbNejR4/Y42NxZl4MGDDAenIQCtknSW+Mtao71Qex3bj/SfB1ZT55+JPPQaKoCw2gyhbhP4SKEEbA/cd9Rr1vhERCRVwcMTHG7OPss8+2SeEIl+QIcN8z1iSVOtjns88+a+OTuY9ZPxhbhE5CGUTtsA5zXVGuUeAYH4Q+ri+GEyqyOaoZs+eee84aXLifeY+KUYRvUrKZSmAOFMY999zTHHPMMTYJmY7RJCFfeeWVttxvr169NLx1QPU8nrFU0eI+xQBGmB5ht4T3uMpNjRoz1gxCfVmbecYzZzgOysIhhxxS8tKL/DIW3cCafRKi2GAZQEikogDWJR7iWBJIMItWCUCA5EFDFRHiwrEcsnDQgMZ5CnwQRJ544olSC3sWNWLFo8mivM+DjZb3LEYsTginLp5V1A7XFKsOwgOeHSy9WHfwrkQTvQgVQEjEqsu8YEypJhM3ZuzvzDPPtFYlKpCUg/nCHGOcUQT4jK8EitpAiMeCRyURBEbCurD2MrZ+yJWD7bh/ETwYTxQwGgFGa4wTqocgwpqAUkG8MPtD4I/W/GdbcknwGHI+rvJMXGlfUR2Mk1PSuB+5dzC8sDZHE/KrGTOaiLl1mTUeQTKunCvg3WV88Q6ieKDsI3SqOEN9ILoRPonQjbIG3I/k5MSNRSPGjHPg2YASz/xyhoJobwCRT6QACCGEEEII0UIoB0AIIYQQQogWQgqAEEIIIYQQLYQUACGEEEIIIVoIKQBCCCGEEEK0EFIAhBBCCCGEaCGkAAghhBBCCNFCSAEQQgghhBCihZACIIQQQgghRAshBUAIIYQQQogWYpxmn4AQQpTjnHPOMY8//rjp16+fWXDBBXWxRKex//77m08++aT0f+/evc2OO+6oETDG/Pzzz2arrbYys802mzn//PNze02uuOIKc/fdd5f+n2eeecyZZ57Z1HMSIg9IARBCNJy//vrLbLTRRlV9ZtJJJzUDBw40rchXX31lnn/+efPaa6+Zb775xgpbk0wyiRVe1llnHbPoooum2s+AAQPMHXfcYf/ea6+9zBprrNHu/aefftqcccYZiZ+PE5a2224788MPP5Q97oQTTmhuueWWDq+/8MILZtCgQebTTz81//77r5lpppnsOa2++upmrLHGit1XZ32mFvr372/uuuuuDq9PMMEEZvrppzdLLbWU2XDDDc1EE01kXz/llFPsuFbDcccdZxZffPHSsTbddFOz9dZblz0Hjs8xu3XrZuaaay6zwgormNlnn73m7ymECA8pAEKI3Fth+Wkl9t57b/P333+3e+2nn34yL730kv3ZbLPNrPW1HEOGDLFC8H/+8x8rBHcmCyywQIfXUAiuu+66dq99/PHH9ufDDz80++yzT9M+U4nrr7/eTD755Km3Hz16tPnss8/sz7PPPmvOOuuskhLQGXB8fn788UfzzjvvWCVw6aWXtkrgZJNNZlqJnXfe2f58++23Zqeddmr26QiRG6QACCEaznjjjWfuueeeDq9fdNFF5sEHH7TCLEKt+C9Ybnv06GEWW2wxa0nGG/L111+bm266yVqQb775ZtOzZ09r3Y1jzJgx5oILLjDTTTed6dq1q3n11VfLXtpqQluuvvrqxPeOOuoo89Zbb1lLu8/QoUPNDTfcYP/eYostzNprr23GHXdc8+STT9oQjUceecQsscQSZplllun0z2SBb5VH2frll1/M66+/bi699FLz5Zdfmvvuu89ssskm5vDDD+/w2ffee88cdthhdszZPotzQHnkHFBAnnnmGfPEE09Yr8j3339vvRB4CIQQrY2SgIUQImcgvG+zzTbWkj7NNNOY8ccf38ZaH3rooWbOOee025QT6rH8Iwxj8UX56gxQUN5++20z1VRTWeUlej4Ixquuuqrp27evtaZjEUdAR3AFP067Mz+TNXhcpphiCrPyyiub9dZbz742bNgw05mg9Ew99dQ2dGi//fYzJ510kp0H5DM0+vsLIYqBPABCiEImAR9//PFWCD7vvPPM8OHDzZ133mktngjLWHl32GEHKwASBkEIB/H0o0aNspZWhMM4KzC5Cvfff7+1mn7xxRfWkjrttNOaJZdc0my88cZVhYE0Sricf/75rSAXDRFykDNA7sRqq61mr9e9997bKef20EMPmba2NrPKKquYscceu917WMNhrbXW6vA5XrvxxhvNBx98YH7//fdSqExnfaYzaHbYDfMABYj7gPntlKE0cG/xuTfffNOGFeFRQqFK8qKwzXPPPWfzS7iHRo4cWcpf6dOnj52/PocccogdE3JR5p133g77+/XXX23eCQrMVVddZb0X5MTgUcSrMWLECJvXgbcLhYccGZQfIUR5pAAIIQoNAg3Cp+PPP/+0CgPKwJFHHmkOPvhgqwQ4eP3UU0+1oRDdu3dvJ2gcffTR7aq+OMs2SZYINaeffrq1yDcTYvshKkj5YVUIt9tvv33qfb744os2Vp08A8KNEMQQpBZeeOFUn0cZeeyxx6wghuLhwz75QSmYY445OnwWazlKFjHaWMo5dmd9phGgBBF+88Ybb1ghlWtCEm6zQTFDkCeBG6F+hhlmqPiZzz//3IYtoTj798/FF19scyriIN8ARSsuf+WVV16xAv+yyy5bem/99de3CgBhUnFjwrzinmY7hH8UDPbBfemDx4sfxpZQNCFEeaQACCEKzcMPP2wrDK255ppWyCPRk8o1CAMHHXSQDUnhN0IhQj4x7Fj4iaM/4YQTSvu58MILrfBPbD2VW2aZZRYbSkFFnttuu81+hhjtZgoXxLITM46ghLUzTljCUktMOVbXtOA1cGCxxbLKT7TiTBJsi1V2oYUW6iBY8jrgPYl6BhxYbBHM3bad9ZmsIPE4ruoRVu/NN9/czD333KbZoLgyJ7gHsJqnUQAIRUP4p4IQibT8Rph/4IEHbLhVHC7kavnll7fegoknntgejzwErtHll19u77Fxxvmv+EFyMueGgk2Sru9lQ5niWGyLQgooVgj/nD8hboTE4RljDuPlI89BCFEZKQBCiEJDaAchAg6s1gjwlMAkpIcyiigGTjihwg4Wb9/Sj1BIci1JtXgN/FKRCD14EbB8EnLU2eEjDgR/BDK+C+cTLWeJUEtJSIQr38JaDhQcBKvlllvOlspEkCJplXAqrgcCG0IsIVDlIJEbomVGAeutO1YSLk/BbdtZn2k0XMt3333Xlm1NUko6E+YtCsBvv/1WcVvmO8o0AjyKshPM2QcJ4+yDpOq4hPIoKAJbbrml9Tw89dRTVjl3ShHXhTl4zTXXWGWeZGkHyiwK+IorrtghrAevCgqnY9ZZZ7U/Qoh0SAEQQhQaaq1HmXnmme3v+eabryT8+zXqu3TpYq2IhBMQVkAIAtZGlAJfgOE1/zdgzXT7TwJPASENPghSVPGpBSrrkMjJuZ944ok2lCUKllWq/+y+++6p94v1lR8fvAuEfaBsIJBhgS2nACDkUmqS0KHovoCcDEjKWQAUNX/bzvpMVkQ9JVjNEXLxNt1+++1WWN5zzz1Ns3GCP3OxEk5BJqE7LveFSk9xCgD3CtZ+flAiuBbMSx+s9L5XBO8d9wZzjTwBpywR3gcbbLBBu3wGlAHCq1DoUK6ct04IkR5VARJCFJo44cSFFyQlX7r3//nnH/ubmG0nvFBFxv3wvy/8+5/pLAivIeEZ4Z9E6DgrJ54Jki633XbbzBIgXSx/pQo2Lv9ipZVWihXC3PjgoYgKgg7XWMxt21mfaRQoQ3iiXLgYipSfh9IMELqdAoACXAm3bdJ8SnqdrsAk7mO9J1wobiycIuYgNIn5wzmSJ+DO9+WXX7Z5Oq7ylduWED+8ViS40yMEr8EBBxxglS2UeiFEZeQBEEK0PM4iStwy4TX1sttuu9mfesHCSm4CeQwnn3yyDaWIw5UEveSSS+xPHOyHH8Itsjg3P/kXorX/HXhg+EEYJIE5Gg/P6999950NP3Kelc76TKNBSEYZwApORRzGsVm4cSLent4Sae+JpK7Pca+jLD766KNWSCdngDK2jAmKISFrzE1n1Y9Cki/KJJ4zvHqElaGE+9Z/B98Bjwo/KAp4W7gHCCNCYSbJ3yn5Qoh45AEQQrQ8hAoBSYR+QmwzoZoK1lTCfU477bRE4b/RAiO5AUmQuIlwS54AYRhJ0NAMCPGIwmt4WRgDP7eisz7TSBCSXQWdZgqkhGjdeuut9m8SdNPgrO5Y5J2HzCcu/IdwMCAHhT4IzF3CdBD+scyTwJsE82yRRRax4W5UH8JrgqJCTks58GawDcoA5X/JW4hW8hJCdEQqshCi5UG4Jn4d6+ERRxxhuxIjjGCxRfghSZhwBOL/qSjUaFzs+Iwzzmhj/yuF9ZTzOFDulIReKqZEk3QJm6A8JGEWLiwEIY5mUYQUufjsWpJ/o9ZdKhhhHUYoxAuBQExCqKuewzbN+EwjINEWqzSJ6IAXIKlrcyPAM8M5fPrpp7Z6FWVxsaYj1LvmZJUg1AzFDoH6mGOOaVcFiHHnGkeZcsop7W9KfnI/UaqWECA8MnRoJgm4HIwNSgJzluNwTDw2PsT+c05461Aa8AaQ1I3iQC4PRMP2hBAdkQIghBDGmH322cfGaSNcECoTByENjYYYdoR/J4z7FY58iIGmHno9IJgl1XMHYqvjkqyBkBYqE5GbwLmUgxKsVIG57rrrbJMyfnzo3BttLNVZn2lkGVAgoTXLjszR6k9pzgH43ljJSXpPCxWzSAhnnlBaNpojEvUCoDA4pYHqWz4oQXgG8BolQWlbGvVR+QcvDeMVBU8CCh0/Sfco5yCEKI8UACGE+F9yIbHDWDaxflPB5I8//rAxzHQZpRJOHho6ZQldlKnWgvUULweWVL4vlYAIFSmn8DjrP5bYNEIllXKw2FI/Hus4Fmn+x8OQlD/QWZ/JGrwOeG24fsSwzzbbbHXv0yW3pqlgxDbE8OPZIheCMpq1nANhXWeddZZtIIZlnnOg/j6ld1H6ogoA1noS1umxQaldPGYuIXqrrbZKjP93uEZyeMAYq7hQLTwY3I94NrhHCbPiu3JefE8+H/UaCCE6MlabfGVCCCFEB6gwQzw5AnCjKwdVguT0wYMH2xC00BRRHxSI119/3Za1RdDPChRcGo3hHaCKkBCtjjwAQgghRBmwXgM9ImiC1ZkQEoZXCuEfy3ZnhKE1A7xPJGpTzYdk3qyE/yuuuMLmtAgh2iMFQAghhMipNdyVeAXCYrLq85AnyDVxIU4oOX379m32KQkRPAoBEkIIIXKqAJCfQTlMGmX5XXJDUwBoDkbOAkncvXr1avYpCRE8UgCEEEIIIYRoIZQqL4QQQgghRAshBUAIIYQQQogWQgqAEEIIIYQQLYQUACGEEEIIIVoIKQBCCCGEEEK0EFIAhBBCCCGEaCGkAAghhBBCCNFCSAEQQgghhBCihZACIIQQQgghRAshBUAIIYQQQgjTOvwfa6Gwoq8VvxIAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "raw.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09655e49",
   "metadata": {},
   "source": [
    "## Cleaning and flattening\n",
    "\n",
    "`flatten()` divides out slow trends with a smooth curve. Its window (30 hours) must be much\n",
    "longer than a transit (about 4.5 hours), or the filter would bend into the dips. We clip\n",
    "outliers on the high side only, because a transit is itself a run of low points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1acac17f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30654 measurements left after cleaning\n"
     ]
    }
   ],
   "source": [
    "lc = raw.remove_nans()\n",
    "flat = lc.flatten(window_length=901)  # 901 points x 2 minutes = 30 hours\n",
    "flat = flat.remove_outliers(sigma_lower=np.inf, sigma_upper=4)  # clip upward spikes only\n",
    "print(f\"{len(flat)} measurements left after cleaning\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "12385635",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flat.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae655ccf",
   "metadata": {},
   "source": [
    "## Searching for the period\n",
    "\n",
    "Box least squares (BLS) folds the light curve at every trial period and fits a box-shaped dip.\n",
    "The period with the highest power is the best guess. SDE says how many standard deviations the\n",
    "highest peak stands above the rest of the periodogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "88a0da62",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "period   = 4.127 days\n",
      "t0       = 3859.7045 BTJD\n",
      "duration = 4.13 hours\n",
      "depth    = 0.844 %\n",
      "SDE      = 12.8\n"
     ]
    }
   ],
   "source": [
    "periods = np.arange(1, 10, 0.001)  # trial periods in days\n",
    "durations = np.arange(0.04, 0.25, 0.01)  # trial durations in days, about 1 to 6 hours\n",
    "bls = flat.to_periodogram(method=\"bls\", period=periods, duration=durations)\n",
    "\n",
    "period = bls.period_at_max_power\n",
    "t0 = float(bls.transit_time_at_max_power.value)  # mid-transit time in BTJD\n",
    "duration = bls.duration_at_max_power\n",
    "depth = bls.depth_at_max_power\n",
    "print(f\"period   = {period.value:.3f} days\")\n",
    "print(f\"t0       = {t0:.4f} BTJD\")\n",
    "print(f\"duration = {duration.to(u.hour).value:.2f} hours\")\n",
    "print(f\"depth    = {depth.value * 100:.3f} %\")\n",
    "\n",
    "power = bls.power.value\n",
    "sde = (power.max() - power.mean()) / power.std()\n",
    "print(f\"SDE      = {sde:.1f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e753d6ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bls.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc4be2a9",
   "metadata": {},
   "source": [
    "## Folding the transits\n",
    "\n",
    "Now that we know where the transits are, flatten again with the transits masked, so the\n",
    "filter cannot bend into them, and zoom in on the BLS peak with a much finer period grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "86352bec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "period   = 4.12662 days\n",
      "t0       = 3859.7045 BTJD\n",
      "duration = 4.13 hours\n",
      "depth    = 0.913 %\n"
     ]
    }
   ],
   "source": [
    "mask = lc.create_transit_mask(period=period, transit_time=t0, duration=1.5 * duration)\n",
    "clean = lc.flatten(window_length=901, mask=mask)\n",
    "clean = clean.remove_outliers(sigma_lower=np.inf, sigma_upper=4)\n",
    "\n",
    "zoom = np.arange(period.value - 0.01, period.value + 0.01, 0.00001)\n",
    "fine = clean.to_periodogram(method=\"bls\", period=zoom, duration=durations)\n",
    "period = fine.period_at_max_power\n",
    "t0 = float(fine.transit_time_at_max_power.value)\n",
    "duration = fine.duration_at_max_power\n",
    "depth = fine.depth_at_max_power\n",
    "print(f\"period   = {period.value:.5f} days\")\n",
    "print(f\"t0       = {t0:.4f} BTJD\")\n",
    "print(f\"duration = {duration.to(u.hour).value:.2f} hours\")\n",
    "print(f\"depth    = {depth.value * 100:.3f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e46ba1b8",
   "metadata": {},
   "source": [
    "Fold all transits on top of each other, average them in 10-minute bins and overlay the box."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9770bc86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "folded = clean.fold(period=period, epoch_time=t0)\n",
    "binned = folded.bin(time_bin_size=10 * u.min)\n",
    "model = fine.get_transit_model(period=period, transit_time=t0, duration=duration)\n",
    "model = model.fold(period=period, epoch_time=t0)\n",
    "\n",
    "ax = folded.scatter(c=\"0.7\", s=1, label=\"2-minute data\")\n",
    "binned.scatter(ax=ax, c=\"k\", s=8, label=\"10-minute bins\")\n",
    "model.plot(ax=ax, c=\"C3\", label=\"BLS box model\")\n",
    "ax.set_xlim(-0.4, 0.4);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d507ab21",
   "metadata": {},
   "source": [
    "## Measuring the transit\n",
    "\n",
    "A trapezoid is a box with sloped sides. Fitting one to all the data gives the period,\n",
    "the mid-transit time, the depth, the total duration and the time the planet takes to\n",
    "cross the edge of the star, each with an uncertainty."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "63d071a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t0 [BTJD]   = 3859.703040 +/- 0.000158\n",
      "period [d]  = 4.126920 +/- 0.000025\n",
      "depth       = 0.009580 +/- 0.000021\n",
      "t14 [d]     = 0.185783 +/- 0.000342\n",
      "t12 [d]     = 0.020122 +/- 0.000299\n"
     ]
    }
   ],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "def trapezoid(t, t0, period, depth, t14, t12):\n",
    "    \"\"\"Flux of a trapezoid transit: total duration t14, ingress and egress t12 each.\"\"\"\n",
    "    x = np.abs((t - t0 + period / 2) % period - period / 2)  # days from mid-transit\n",
    "    flux = np.ones_like(t)\n",
    "    bottom = x <= t14 / 2 - t12\n",
    "    edge = (x > t14 / 2 - t12) & (x < t14 / 2)\n",
    "    flux[bottom] -= depth\n",
    "    flux[edge] -= depth * (t14 / 2 - x[edge]) / t12\n",
    "    return flux\n",
    "\n",
    "guess = [t0, period.value, depth.value, duration.value, duration.value / 10]\n",
    "low = [t0 - 0.05, period.value - 0.01, 0, 0.02, 0.001]\n",
    "high = [t0 + 0.05, period.value + 0.01, 0.05, 0.4, 0.1]\n",
    "t, f, e = clean.time.value, clean.flux.value, clean.flux_err.value\n",
    "best, cov = curve_fit(trapezoid, t, f, p0=guess, sigma=e, bounds=(low, high))\n",
    "err = np.sqrt(np.diag(cov))\n",
    "\n",
    "names = [\"t0 [BTJD]\", \"period [d]\", \"depth\", \"t14 [d]\", \"t12 [d]\"]\n",
    "for name, value, sigma in zip(names, best, err):\n",
    "    print(f\"{name:11s} = {value:.6f} +/- {sigma:.6f}\")\n",
    "T0, P, D, T14, T12 = best"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30486f0b",
   "metadata": {},
   "source": [
    "## From numbers to physics\n",
    "\n",
    "The TESS Input Catalog (TIC) lists a radius and a mass for every star TESS looks at. With them,\n",
    "the depth gives the planet's radius and Kepler's third law gives the size of the orbit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "633dd899",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R_star = 1.587 +/- 0.065 R_sun\n",
      "M_star = 1.46 +/- 0.25 M_sun\n",
      "Teff   = 6792 K, distance = 196.9 pc\n"
     ]
    }
   ],
   "source": [
    "from astroquery.mast import Catalogs\n",
    "\n",
    "tic = Catalogs.query_object(\"TIC 267263253\", radius=2 * u.arcmin, catalog=\"TIC\")\n",
    "star = tic[tic[\"ID\"] == \"267263253\"][0]\n",
    "R_star = star[\"rad\"] * u.R_sun\n",
    "M_star = star[\"mass\"] * u.M_sun\n",
    "print(f\"R_star = {star['rad']:.3f} +/- {star['e_rad']:.3f} R_sun\")\n",
    "print(f\"M_star = {star['mass']:.2f} +/- {star['e_mass']:.2f} M_sun\")\n",
    "print(f\"Teff   = {star['Teff']:.0f} K, distance = {star['d']:.1f} pc\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cb5cba6c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rp/R*        = 0.0979 +/- 0.0001\n",
      "R_planet     = 1.51 +/- 0.06 R_jup\n",
      "a            = 0.0571 +/- 0.0033 au\n",
      "a / R_star   = 7.74\n",
      "central transit would last 4.47 h, we measured 4.46 h\n"
     ]
    }
   ],
   "source": [
    "P_d = P * u.day\n",
    "R_planet = np.sqrt(D) * R_star\n",
    "a = (const.G * M_star * P_d**2 / (4 * np.pi**2)) ** (1 / 3)\n",
    "T_central = P_d / np.pi * (R_star / a) * (1 + np.sqrt(D))  # duration if the planet crossed the centre\n",
    "\n",
    "# simple error propagation\n",
    "R_planet_err = R_planet * np.hypot(err[2] / (2 * D), star[\"e_rad\"] / star[\"rad\"])\n",
    "a_err = a * star[\"e_mass\"] / (3 * star[\"mass\"])\n",
    "\n",
    "print(f\"Rp/R*        = {np.sqrt(D):.4f} +/- {err[2] / (2 * np.sqrt(D)):.4f}\")\n",
    "print(f\"R_planet     = {R_planet.to(u.R_jup).value:.2f} +/- {R_planet_err.to(u.R_jup).value:.2f} R_jup\")\n",
    "print(f\"a            = {a.to(u.au).value:.4f} +/- {a_err.to(u.au).value:.4f} au\")\n",
    "print(f\"a / R_star   = {(a / R_star).decompose().value:.2f}\")\n",
    "print(f\"central transit would last {T_central.to(u.hour).value:.2f} h, we measured {T14 * 24:.2f} h\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "488ff31b",
   "metadata": {},
   "source": [
    "## Vetting the signal\n",
    "\n",
    "**Odd and even transits.** Two stars eclipsing each other at twice the period could make\n",
    "alternate dips of different depths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "bc6f409f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "odd transits:  9514 +/- 43 ppm\n",
      "even transits: 9613 +/- 38 ppm\n",
      "difference:    -1.7 sigma\n"
     ]
    }
   ],
   "source": [
    "def drop_ppm(folded_lc, half_width, baseline=(0.6, 1.5)):\n",
    "    \"\"\"Mean drop in flux within +/- half_width days of phase zero, in ppm,\n",
    "    compared with the flux between baseline[0] and baseline[1] transit durations away.\"\"\"\n",
    "    x = np.abs(folded_lc.time.value)\n",
    "    flux = folded_lc.flux.value\n",
    "    inside = x < half_width\n",
    "    outside = (x > baseline[0] * T14) & (x < baseline[1] * T14)\n",
    "    drop = flux[outside].mean() - flux[inside].mean()\n",
    "    sigma = np.hypot(flux[inside].std() / np.sqrt(inside.sum()),\n",
    "                     flux[outside].std() / np.sqrt(outside.sum()))\n",
    "    return drop * 1e6, sigma * 1e6\n",
    "\n",
    "folded = clean.fold(period=P_d, epoch_time=T0)\n",
    "bottom = T14 / 2 - T12  # half-width of the flat bottom\n",
    "odd_depth, odd_err = drop_ppm(folded[folded.odd_mask], bottom)\n",
    "even_depth, even_err = drop_ppm(folded[folded.even_mask], bottom)\n",
    "difference = (odd_depth - even_depth) / np.hypot(odd_err, even_err)\n",
    "print(f\"odd transits:  {odd_depth:.0f} +/- {odd_err:.0f} ppm\")\n",
    "print(f\"even transits: {even_depth:.0f} +/- {even_err:.0f} ppm\")\n",
    "print(f\"difference:    {difference:.1f} sigma\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70c854be",
   "metadata": {},
   "source": [
    "**A secondary eclipse at phase 0.5.** A glowing companion star could show a second dip halfway\n",
    "between transits. A planet gives off too little light to show one here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ee0f0efa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "drop at phase 0.5: 26 +/- 28 ppm\n"
     ]
    }
   ],
   "source": [
    "secondary = clean.fold(period=P_d, epoch_time=T0 + P / 2)\n",
    "eclipse_depth, eclipse_err = drop_ppm(secondary, bottom)\n",
    "print(f\"drop at phase 0.5: {eclipse_depth:.0f} +/- {eclipse_err:.0f} ppm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "213e8ad9",
   "metadata": {},
   "source": [
    "**The shape of the transit.** A small planet makes a U-shaped dip with short ingress and egress.\n",
    "A grazing or large eclipsing body makes a V."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d5dc523f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ingress takes 29.0 +/- 0.4 minutes\n",
      "that is 10.8% of the transit; a V-shaped dip would be 50%\n"
     ]
    }
   ],
   "source": [
    "print(f\"ingress takes {T12 * 24 * 60:.1f} +/- {err[4] * 24 * 60:.1f} minutes\")\n",
    "print(f\"that is {T12 / T14:.1%} of the transit; a V-shaped dip would be 50%\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c2f497b",
   "metadata": {},
   "source": [
    "## Checking the neighbours\n",
    "\n",
    "TESS pixels are 21 arcseconds wide. A neighbour fainter than the target by more than\n",
    "-2.5 log10(depth) magnitudes cannot produce the dip even if it vanished completely."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "56d52b60",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "stars within 2 arcmin brighter than Tmag 14.3:\n",
      "  TIC 267264183: Tmag 13.58, 67 arcsec away\n",
      "  TIC 267264184: Tmag 14.01, 69 arcsec away\n",
      "  TIC 267264180: Tmag 9.91, 80 arcsec away\n",
      "share of the aperture light that SPOC assigns to HD 2685: [0.978, 0.971]\n"
     ]
    }
   ],
   "source": [
    "faintest = star[\"Tmag\"] - 2.5 * np.log10(D)  # a star fainter than this cannot fake the dip\n",
    "neighbours = tic[(tic[\"ID\"] != \"267263253\") & (tic[\"Tmag\"] < faintest)]\n",
    "print(f\"stars within 2 arcmin brighter than Tmag {faintest:.1f}:\")\n",
    "for row in neighbours:\n",
    "    print(f\"  TIC {row['ID']}: Tmag {row['Tmag']:.2f}, {row['dstArcSec']:.0f} arcsec away\")\n",
    "print(\"share of the aperture light that SPOC assigns to HD 2685:\",\n",
    "      [round(float(one.meta[\"CROWDSAP\"]), 3) for one in lcs])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "b0383cce",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the light goes missing 0.12 pixels (3 arcsec) from HD 2685\n"
     ]
    }
   ],
   "source": [
    "tpf = lk.search_targetpixelfile(\"HD 2685\", mission=\"TESS\", author=\"SPOC\", exptime=120, sector=95).download()\n",
    "x = np.abs((tpf.time.value - T0 + P / 2) % P - P / 2)  # days from mid-transit\n",
    "during = x < bottom\n",
    "around = (x > 0.6 * T14) & (x < 1.5 * T14)\n",
    "image = np.nanmean(tpf.flux[around].value, axis=0)\n",
    "difference_image = image - np.nanmean(tpf.flux[during].value, axis=0)\n",
    "\n",
    "def centroid(img):\n",
    "    \"\"\"Flux-weighted centre of the 5 x 5 pixels around the brightest pixel.\"\"\"\n",
    "    r, c = np.unravel_index(np.nanargmax(img), img.shape)\n",
    "    rows, cols = np.mgrid[r - 2:r + 3, c - 2:c + 3]\n",
    "    w = np.clip(img[r - 2:r + 3, c - 2:c + 3], 0, None)\n",
    "    return (w * cols).sum() / w.sum(), (w * rows).sum() / w.sum()\n",
    "\n",
    "star_x, star_y = tpf.wcs.world_to_pixel_values(star[\"ra\"], star[\"dec\"])\n",
    "dip_x, dip_y = centroid(difference_image)\n",
    "offset = np.hypot(dip_x - star_x, dip_y - star_y)\n",
    "print(f\"the light goes missing {offset:.2f} pixels ({offset * 21:.0f} arcsec) from HD 2685\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "2c13988e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(9, 4))\n",
    "axes[0].imshow(image, origin=\"lower\", cmap=\"Greys\")\n",
    "axes[0].set_title(\"Average image\")\n",
    "axes[1].imshow(difference_image, origin=\"lower\", cmap=\"Greys\")\n",
    "axes[1].set_title(\"Out of transit minus in transit\")\n",
    "for ax in axes:\n",
    "    ax.plot(star_x, star_y, \"r+\", ms=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccbc1e53",
   "metadata": {},
   "source": [
    "## Is it already known?\n",
    "\n",
    "The NASA Exoplanet Archive answers ADQL queries over the web. Check the TOI table and the\n",
    "table of confirmed planets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "918b7705",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   toi tfopwg_disp  pl_orbper  pl_trandep  pl_trandurh\n",
      "135.01          CP   4.126905     10831.0        4.405\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  pl_name  disc_year  pl_orbper  pl_radj  pl_orbsmax\n",
      "HD 2685 b       2019    4.12688     1.44      0.0568\n"
     ]
    }
   ],
   "source": [
    "from urllib.parse import quote\n",
    "\n",
    "def archive(query):\n",
    "    \"\"\"Run an ADQL query on the NASA Exoplanet Archive and return a table.\"\"\"\n",
    "    url = \"https://exoplanetarchive.ipac.caltech.edu/TAP/sync?format=csv&query=\"\n",
    "    return pd.read_csv(url + quote(query))\n",
    "\n",
    "print(archive(\"select toi, tfopwg_disp, pl_orbper, pl_trandep, pl_trandurh \"\n",
    "              \"from toi where tid = 267263253\").to_string(index=False))\n",
    "print(archive(\"select pl_name, disc_year, pl_orbper, pl_radj, pl_orbsmax \"\n",
    "              \"from pscomppars where tic_id = 'TIC 267263253'\").to_string(index=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dceb7e60",
   "metadata": {},
   "source": [
    "## From practice to a real search\n",
    "\n",
    "How often do TESS signals turn out to be planets? The TFOP working group's verdict on every TOI:\n",
    "PC planet candidate, APC ambiguous candidate, CP confirmed planet, KP known planet,\n",
    "FP false positive, FA false alarm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "c70169d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tfopwg_disp    n\n",
      "         PC 4824\n",
      "         FP 1314\n",
      "         CP  814\n",
      "         KP  606\n",
      "        APC  488\n",
      "         FA  100\n",
      "        NaN    2\n"
     ]
    }
   ],
   "source": [
    "counts = archive(\"select tfopwg_disp, count(*) as n from toi group by tfopwg_disp order by n desc\")\n",
    "print(counts.to_string(index=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c148767",
   "metadata": {},
   "source": [
    "A small batch search: every star within 2 degrees of HD 2685 that TESS watched at 2-minute\n",
    "cadence in sector 95 and that is not already a TOI."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "f0bb4680",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "64 light curves, 61 of them on stars that are not TOIs\n"
     ]
    }
   ],
   "source": [
    "toi_stars = set(archive(\"select tid from toi\")[\"tid\"])\n",
    "nearby = lk.search_lightcurve(\"HD 2685\", radius=2 * u.deg, mission=\"TESS\", author=\"SPOC\",\n",
    "                              exptime=120, sector=95)\n",
    "fresh = nearby[[int(tic_id) not in toi_stars for tic_id in nearby.target_name]]\n",
    "print(f\"{len(nearby)} light curves, {len(fresh)} of them on stars that are not TOIs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f4991d98",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      tic  Tmag  period  depth_ppm   sde\n",
      "180791583 14.85    1.08   32999.04 10.04\n",
      "267263040 12.34    9.92    2494.61  6.97\n",
      "266970549 12.52    8.48    2387.90  6.35\n",
      "267490189 12.41    1.83    1136.51  6.23\n",
      "267263797 16.12    4.19   21045.76  6.15\n",
      "612390067 17.68    8.78  282565.33  5.60\n",
      "267183188 12.22    5.39    1015.76  5.50\n",
      "612232178 18.60    9.82  482456.73  5.17\n",
      "267489655 10.03    8.91     802.81  5.07\n",
      "267427710 11.94    1.65     520.02  4.96\n",
      "267046689  7.36    6.12     434.07  4.91\n",
      "267211524 11.84    1.56     671.27  4.90\n",
      "266970096 11.85    7.29     630.51  4.79\n",
      "267091211  4.71    6.75     213.60  4.24\n",
      "267000601  5.62    3.05     264.59  4.21\n",
      "181233653  8.18    6.25     528.16  4.12\n",
      "612256219  2.29    4.47     136.23  4.12\n",
      "267263203  8.75    6.95     577.76  3.48\n",
      "267210445  8.46    4.09     586.69  3.39\n",
      "267211065  2.22    7.17     271.84  3.02\n"
     ]
    }
   ],
   "source": [
    "def quick_search(lc):\n",
    "    \"\"\"Flatten a light curve, run BLS and return the best period, depth and SDE.\"\"\"\n",
    "    flattened = lc.remove_nans().flatten(window_length=901)\n",
    "    flattened = flattened.remove_outliers(sigma_lower=np.inf, sigma_upper=4)\n",
    "    pg = flattened.to_periodogram(method=\"bls\", period=periods, duration=[0.04, 0.08, 0.12, 0.16])\n",
    "    power = pg.power.value\n",
    "    result = {\"period\": pg.period_at_max_power.value,\n",
    "              \"t0\": float(pg.transit_time_at_max_power.value),\n",
    "              \"depth_ppm\": pg.depth_at_max_power.value * 1e6,\n",
    "              \"sde\": (power.max() - power.mean()) / power.std()}\n",
    "    return result, flattened\n",
    "\n",
    "rows, flats = [], {}\n",
    "for i in range(20):\n",
    "    lc_i = fresh[i].download()\n",
    "    tic_id = fresh.target_name[i]\n",
    "    result, flats[tic_id] = quick_search(lc_i)\n",
    "    rows.append({\"tic\": tic_id, \"Tmag\": lc_i.meta[\"TESSMAG\"], **result})\n",
    "batch = pd.DataFrame(rows).sort_values(\"sde\", ascending=False)\n",
    "print(batch.drop(columns=\"t0\").round(2).to_string(index=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a70ba300",
   "metadata": {},
   "source": [
    "For comparison, the same quick search on HD 2685 itself, using sector 95 only:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "8b46e477",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HD 2685, sector 95: period 4.127 d, depth 8960 ppm, SDE 9.9\n"
     ]
    }
   ],
   "source": [
    "hd_result, _ = quick_search(lcs[1])\n",
    "print(f\"HD 2685, sector {lcs[1].meta['SECTOR']}: period {hd_result['period']:.3f} d, \"\n",
    "      f\"depth {hd_result['depth_ppm']:.0f} ppm, SDE {hd_result['sde']:.1f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c2953993",
   "metadata": {},
   "source": [
    "Always look at the best-scoring star before you get excited."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "9b966a26",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "top = batch.iloc[0]\n",
    "flats[top.tic].fold(period=top.period, epoch_time=top.t0).scatter();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cc3b916",
   "metadata": {},
   "source": [
    "The fold shows regular waves and no transit shape. A Lomb-Scargle periodogram looks for\n",
    "sine-shaped signals:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a5145f6f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TIC 180791583 varies by 1.8 % every 3.7 hours\n"
     ]
    }
   ],
   "source": [
    "ls = flats[top.tic].to_periodogram(method=\"lombscargle\", minimum_period=0.05, maximum_period=5)\n",
    "print(f\"TIC {top.tic} varies by {ls.max_power.value * 100:.1f} % \"\n",
    "      f\"every {ls.period_at_max_power.to(u.hour).value:.1f} hours\")"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "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": "3.12.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
