{"abstract":"A captain with 13.33 points scores 19.99 instead of 20.00; negative captains lose extra.","category":"Fantasy sports scoring","checks":7,"contract":"A single-game lineup has one captain and five flex players. The captain costs 1.5x salary rounded up to the next 100 and scores 1.5x points (hundredths, rounded half away from zero). Validation order: exactly five flex players and six distinct names (roster), salary total at most the cap (cap), players from at least two teams (teams). Return validity, first failing reason, salary and points.","evaluation_group":"w2-fantasy-sports-scoring-captain-showdown","failed_approach":"Python round() uses half-even, so half the ties still round down.","family":"w2-fantasy-sports-scoring-captain-showdown-captain-half-point-rounding","id":"FA-85056","implementations":{"attempt":{"sha256":"0d2378a3f0f52ae37cec0c175ba5495e955a9559ff8d0f1a8a6c8b5c11afd576","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(lineup, points, salaries, teams, cap):\n    cpt, flex = lineup['CPT'], lineup['FLEX']\n    names = [cpt] + flex\n    cpt_salary = -(-salaries[cpt] * 3 // 200) * 100\n    salary = cpt_salary + sum(salaries[p] for p in flex)\n    c = points[cpt] * 3\n    cpt_pts = round(c / 2)\n    total = cpt_pts + sum(points[p] for p in flex)\n    if len(flex) != 5 or len(set(names)) != 6:\n        return {'valid': False, 'reason': 'roster', 'salary': salary, 'points': total}\n    if salary > cap:\n        return {'valid': False, 'reason': 'cap', 'salary': salary, 'points': total}\n    if len({teams[p] for p in names}) < 2:\n        return {'valid': False, 'reason': 'teams', 'salary': salary, 'points': total}\n    return {'valid': True, 'reason': None, 'salary': salary, 'points': total}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['a', 'f', 'g', 'h', 'b']},\n    {'a': -45, 'b': -45, 'c': 1687, 'd': 2001, 'e': 0, 'f': -45, 'g': -50, 'h': 0},\n    {'a': 5500, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 5300, 'f': 7100, 'g': 3300, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 46500],\n   {'points': 2817, 'reason': 'cap', 'salary': 46600, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'h', 'FLEX': ['a', 'h', 'e', 'b', 'c']},\n    {'a': 2370, 'b': 0, 'c': 225, 'd': 1333, 'e': 1795, 'f': 719, 'g': -50, 'h': 1795},\n    {'a': 10500, 'b': 8700, 'c': 3300, 'd': 10500, 'e': 10500, 'f': 9900, 'g': 5500, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 50900],\n   {'points': 8878, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['g', 'f', 'c', 'b', 'e']},\n    {'a': -45, 'b': 427, 'c': 2001, 'd': -50, 'e': 225, 'f': 2001, 'g': 1795, 'h': 2001},\n    {'a': 5300, 'b': 5500, 'c': 5500, 'd': 3300, 'e': 8700, 'f': 5500, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 39000],\n   {'points': 9451, 'reason': None, 'salary': 39000, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'b', 'FLEX': ['f', 'd', 'e', 'c', 'b']},\n    {'a': 225, 'b': 756, 'c': -45, 'd': 225, 'e': 0, 'f': 1333, 'g': 0, 'h': 1333},\n    {'a': 7100, 'b': 8700, 'c': 9900, 'd': 8700, 'e': 7100, 'f': 3300, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50800],\n   {'points': 3403, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'g', 'FLEX': ['c', 'a', 'd', 'g', 'f']},\n    {'a': 0, 'b': 2883, 'c': 225, 'd': 1795, 'e': 1795, 'f': 1333, 'g': -50, 'h': -45},\n    {'a': 3300, 'b': 5500, 'c': 3300, 'd': 10500, 'e': 3300, 'f': 8700, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 39500],\n   {'points': 3228, 'reason': 'roster', 'salary': 39600, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['a', 'e', 'g', 'd', 'b']},\n    {'a': -50, 'b': 2001, 'c': 1333, 'd': -45, 'e': 1333, 'f': 1795, 'g': 1795, 'h': 1333},\n    {'a': 7100, 'b': 10500, 'c': 7100, 'd': 7100, 'e': 10500, 'f': 7100, 'g': 3300, 'h': 10500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'A', 'h': 'A'}, 49100],\n   {'points': 4966, 'reason': 'roster', 'salary': 49200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'g', 'FLEX': ['d', 'h', 'b', 'c', 'e']},\n    {'a': -50, 'b': -50, 'c': -50, 'd': 1333, 'e': 225, 'f': 2001, 'g': 1916, 'h': 1795},\n    {'a': 10500, 'b': 10500, 'c': 5300, 'd': 7100, 'e': 3300, 'f': 8700, 'g': 7100, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 6127, 'reason': None, 'salary': 46800, 'valid': True})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['e', 'c', 'f', 'd', 'h']},\n    {'a': 2702, 'b': -45, 'c': 0, 'd': 1333, 'e': 1333, 'f': 2001, 'g': 1333, 'h': 0},\n    {'a': 7100, 'b': 8700, 'c': 5300, 'd': 9900, 'e': 9900, 'f': 8700, 'g': 8700, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 55600],\n   {'points': 6667, 'reason': None, 'salary': 55600, 'valid': True}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['b', 'f', 'd', 'g', 'a']},\n    {'a': -50, 'b': -72, 'c': 2722, 'd': 1795, 'e': -45, 'f': 225, 'g': 2255, 'h': 1795},\n    {'a': 8700, 'b': 9900, 'c': 5300, 'd': 8700, 'e': 5500, 'f': 10500, 'g': 5500, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 51600],\n   {'points': 7536, 'reason': 'roster', 'salary': 51600, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['f', 'c', 'h', 'f', 'd']},\n    {'a': 1795, 'b': -45, 'c': 2001, 'd': 2001, 'e': 1795, 'f': 225, 'g': 2757, 'h': 225},\n    {'a': 5500, 'b': 5500, 'c': 3300, 'd': 5500, 'e': 5300, 'f': 8700, 'g': 9900, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 44700],\n   {'points': 5015, 'reason': 'roster', 'salary': 44600, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['a', 'c', 'd', 'e', 'f']},\n    {'a': 0, 'b': 2607, 'c': 1333, 'd': 225, 'e': 883, 'f': 1323, 'g': -45, 'h': 0},\n    {'a': 3300, 'b': 10500, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 3300, 'g': 5300, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 34300],\n   {'points': 3696, 'reason': None, 'salary': 34300, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['h', 'f', 'a', 'b', 'g']},\n    {'a': -50, 'b': 0, 'c': 1795, 'd': 759, 'e': 0, 'f': 2965, 'g': -50, 'h': 0},\n    {'a': 5300, 'b': 5300, 'c': 8700, 'd': 7100, 'e': 7100, 'f': 3300, 'g': 8700, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 40400],\n   {'points': 2865, 'reason': 'roster', 'salary': 40400, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['c', 'e', 'd', 'b', 'f']},\n    {'a': 0, 'b': 1333, 'c': 1333, 'd': -45, 'e': 1078, 'f': -45, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 7100, 'c': 8700, 'd': 10500, 'e': 3300, 'f': 7100, 'g': 5300, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 52500],\n   {'points': 3586, 'reason': 'roster', 'salary': 52500, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'a', 'FLEX': ['g', 'b', 'h', 'd', 'e']},\n    {'a': 0, 'b': -45, 'c': 2001, 'd': 1333, 'e': 1333, 'f': 2001, 'g': 225, 'h': 0},\n    {'a': 3300, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 7100, 'f': 8700, 'g': 3300, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 2846, 'reason': None, 'salary': 35700, 'valid': True})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['g', 'b', 'h', 'f', 'a']},\n    {'a': 2001, 'b': 1333, 'c': 1795, 'd': 2622, 'e': 901, 'f': 1795, 'g': 1795, 'h': -50},\n    {'a': 7100, 'b': 7100, 'c': 9900, 'd': 5500, 'e': 5300, 'f': 5300, 'g': 10500, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 51100],\n   {'points': 9567, 'reason': 'roster', 'salary': 51100, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'f', 'FLEX': ['a', 'h', 'd', 'e', 'c']},\n    {'a': -50, 'b': 0, 'c': 1333, 'd': 225, 'e': 0, 'f': 1795, 'g': 225, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 7100, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 53300],\n   {'points': 4151, 'reason': None, 'salary': 53300, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'a', 'FLEX': ['e', 'h', 'g', 'b', 'a']},\n    {'a': 2001, 'b': 2001, 'c': 2001, 'd': -45, 'e': 672, 'f': 2001, 'g': -50, 'h': 2001},\n    {'a': 5300, 'b': 8700, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 10500, 'g': 8700, 'h': 9900},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 45800],\n   {'points': 9627, 'reason': 'roster', 'salary': 45900, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['a', 'e', 'f', 'b', 'g']},\n    {'a': 2001, 'b': 1795, 'c': 0, 'd': 1333, 'e': 1333, 'f': 0, 'g': 2001, 'h': 2001},\n    {'a': 5300, 'b': 8700, 'c': 5500, 'd': 8700, 'e': 5300, 'f': 7100, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 45300],\n   {'points': 7130, 'reason': None, 'salary': 45200, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'e', 'FLEX': ['g', 'a', 'f', 'e', 'h']},\n    {'a': 2001, 'b': 1795, 'c': 2001, 'd': 225, 'e': -45, 'f': -45, 'g': 225, 'h': 225},\n    {'a': 7100, 'b': 5500, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 5300, 'g': 5300, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 40800],\n   {'points': 2293, 'reason': 'roster', 'salary': 40800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'f', 'FLEX': ['b', 'c', 'f', 'g', 'e']},\n    {'a': 680, 'b': -45, 'c': -50, 'd': -50, 'e': 1795, 'f': -50, 'g': 2001, 'h': 2001},\n    {'a': 7100, 'b': 8700, 'c': 5500, 'd': 5500, 'e': 9900, 'f': 3300, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 42800],\n   {'points': 3576, 'reason': 'roster', 'salary': 42900, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'h', 'FLEX': ['d', 'a', 'h', 'c', 'g']},\n    {'a': 225, 'b': 225, 'c': 225, 'd': 1333, 'e': 225, 'f': -50, 'g': 1333, 'h': 70},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 3300, 'f': 8700, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51300],\n   {'points': 3291, 'reason': 'roster', 'salary': 51200, 'valid': False})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'h', 'FLEX': ['e', 'b', 'h', 'h', 'a']},\n    {'a': 0, 'b': 2001, 'c': 1795, 'd': -45, 'e': 0, 'f': 1795, 'g': 2824, 'h': 2001},\n    {'a': 8700, 'b': 3300, 'c': 5500, 'd': 9900, 'e': 5500, 'f': 5500, 'g': 8700, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 29100],\n   {'points': 9005, 'reason': 'roster', 'salary': 29100, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['c', 'd', 'g', 'e', 'f']},\n    {'a': 441, 'b': 662, 'c': -45, 'd': 1795, 'e': 225, 'f': -50, 'g': -45, 'h': 225},\n    {'a': 3300, 'b': 8700, 'c': 7100, 'd': 3300, 'e': 9900, 'f': 7100, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'A', 'h': 'H'}, 37800],\n   {'points': 4573, 'reason': 'roster', 'salary': 37900, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'd', 'FLEX': ['d', 'h', 'f', 'e', 'd']},\n    {'a': 2001, 'b': 893, 'c': -45, 'd': 1333, 'e': -45, 'f': 0, 'g': -45, 'h': 2686},\n    {'a': 5500, 'b': 5500, 'c': 8700, 'd': 9900, 'e': 7100, 'f': 3300, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52100],\n   {'points': 7307, 'reason': 'roster', 'salary': 52200, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['c', 'g', 'd', 'f', 'e']},\n    {'a': -45, 'b': 2744, 'c': -45, 'd': -45, 'e': 225, 'f': -45, 'g': 2001, 'h': 0},\n    {'a': 3300, 'b': 9900, 'c': 5500, 'd': 5300, 'e': 5300, 'f': 7100, 'g': 10500, 'h': 10500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 41900],\n   {'points': 2023, 'reason': 'roster', 'salary': 42000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'f', 'FLEX': ['f', 'e', 'h', 'b', 'c']},\n    {'a': 0, 'b': -45, 'c': -50, 'd': -50, 'e': 1795, 'f': -45, 'g': 0, 'h': 2001},\n    {'a': 5500, 'b': 7100, 'c': 5300, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 5500, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 38100],\n   {'points': 3588, 'reason': 'roster', 'salary': 38100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['b', 'e', 'c', 'g', 'd']},\n    {'a': 1795, 'b': -45, 'c': -50, 'd': 0, 'e': -45, 'f': 2001, 'g': 225, 'h': 1448},\n    {'a': 7100, 'b': 5500, 'c': 3300, 'd': 5500, 'e': 8700, 'f': 7100, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 40000],\n   {'points': 85, 'reason': 'roster', 'salary': 40000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['h', 'f', 'e', 'b', 'g']},\n    {'a': 0, 'b': 1795, 'c': 225, 'd': 1795, 'e': 2001, 'f': 0, 'g': 225, 'h': 2001},\n    {'a': 5500, 'b': 8700, 'c': 10500, 'd': 10500, 'e': 5300, 'f': 5500, 'g': 5300, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 38300],\n   {'points': 6022, 'reason': 'roster', 'salary': 38400, 'valid': False})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['f', 'g', 'd', 'b', 'h']},\n    {'a': -45, 'b': 225, 'c': 1795, 'd': 1957, 'e': 1530, 'f': 1795, 'g': 2001, 'h': -45},\n    {'a': 8700, 'b': 3300, 'c': 5500, 'd': 9900, 'e': 7100, 'f': 5300, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 47700],\n   {'points': 8869, 'reason': 'roster', 'salary': 47600, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'a', 'FLEX': ['b', 'c', 'h', 'f', 'd']},\n    {'a': 1795, 'b': 1795, 'c': 1586, 'd': 1333, 'e': -50, 'f': 479, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 8700, 'c': 5300, 'd': 8700, 'e': 7100, 'f': 9900, 'g': 5500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 47900],\n   {'points': 9219, 'reason': 'cap', 'salary': 48000, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'e', 'FLEX': ['h', 'g', 'a', 'e', 'd']},\n    {'a': 593, 'b': -45, 'c': 1795, 'd': 1608, 'e': 225, 'f': 143, 'g': 2001, 'h': 0},\n    {'a': 9900, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 5500, 'f': 10500, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 45900],\n   {'points': 4765, 'reason': 'roster', 'salary': 46000, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'e', 'FLEX': ['h', 'e', 'c', 'b', 'g']},\n    {'a': 1795, 'b': 1333, 'c': 2928, 'd': 0, 'e': -50, 'f': 0, 'g': 2001, 'h': -50},\n    {'a': 9900, 'b': 3300, 'c': 7100, 'd': 7100, 'e': 9900, 'f': 3300, 'g': 5500, 'h': 3300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 6087, 'reason': 'roster', 'salary': 44000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'd', 'FLEX': ['f', 'a', 'c', 'g', 'e']},\n    {'a': 320, 'b': 0, 'c': 1333, 'd': 2538, 'e': 1795, 'f': 225, 'g': 1333, 'h': 2001},\n    {'a': 5500, 'b': 5300, 'c': 8700, 'd': 8700, 'e': 9900, 'f': 5500, 'g': 7100, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 49800],\n   {'points': 8813, 'reason': None, 'salary': 49800, 'valid': True}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['h', 'c', 'f', 'b', 'a']},\n    {'a': 225, 'b': 0, 'c': 1795, 'd': 0, 'e': 0, 'f': -45, 'g': 2001, 'h': -50},\n    {'a': 3300, 'b': 3300, 'c': 10500, 'd': 9900, 'e': 5500, 'f': 3300, 'g': 9900, 'h': 5500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 34100],\n   {'points': 1850, 'reason': 'roster', 'salary': 34200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'e', 'FLEX': ['a', 'e', 'e', 'c', 'f']},\n    {'a': -50, 'b': 225, 'c': 1958, 'd': 1333, 'e': -45, 'f': 0, 'g': -45, 'h': 2001},\n    {'a': 5500, 'b': 5300, 'c': 3300, 'd': 8700, 'e': 10500, 'f': 10500, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 56200],\n   {'points': 1750, 'reason': 'roster', 'salary': 56100, 'valid': False})]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"dd8dff2859d31442e592ae793abda89c5f34694506a15d4d8fa30922ec39f359","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(lineup, points, salaries, teams, cap):\n    cpt, flex = lineup['CPT'], lineup['FLEX']\n    names = [cpt] + flex\n    cpt_salary = -(-salaries[cpt] * 3 // 200) * 100\n    salary = cpt_salary + sum(salaries[p] for p in flex)\n    c = points[cpt] * 3\n    cpt_pts = c // 2\n    total = cpt_pts + sum(points[p] for p in flex)\n    if len(flex) != 5 or len(set(names)) != 6:\n        return {'valid': False, 'reason': 'roster', 'salary': salary, 'points': total}\n    if salary > cap:\n        return {'valid': False, 'reason': 'cap', 'salary': salary, 'points': total}\n    if len({teams[p] for p in names}) < 2:\n        return {'valid': False, 'reason': 'teams', 'salary': salary, 'points': total}\n    return {'valid': True, 'reason': None, 'salary': salary, 'points': total}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['a', 'f', 'g', 'h', 'b']},\n    {'a': -45, 'b': -45, 'c': 1687, 'd': 2001, 'e': 0, 'f': -45, 'g': -50, 'h': 0},\n    {'a': 5500, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 5300, 'f': 7100, 'g': 3300, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 46500],\n   {'points': 2817, 'reason': 'cap', 'salary': 46600, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'h', 'FLEX': ['a', 'h', 'e', 'b', 'c']},\n    {'a': 2370, 'b': 0, 'c': 225, 'd': 1333, 'e': 1795, 'f': 719, 'g': -50, 'h': 1795},\n    {'a': 10500, 'b': 8700, 'c': 3300, 'd': 10500, 'e': 10500, 'f': 9900, 'g': 5500, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 50900],\n   {'points': 8878, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['g', 'f', 'c', 'b', 'e']},\n    {'a': -45, 'b': 427, 'c': 2001, 'd': -50, 'e': 225, 'f': 2001, 'g': 1795, 'h': 2001},\n    {'a': 5300, 'b': 5500, 'c': 5500, 'd': 3300, 'e': 8700, 'f': 5500, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 39000],\n   {'points': 9451, 'reason': None, 'salary': 39000, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'b', 'FLEX': ['f', 'd', 'e', 'c', 'b']},\n    {'a': 225, 'b': 756, 'c': -45, 'd': 225, 'e': 0, 'f': 1333, 'g': 0, 'h': 1333},\n    {'a': 7100, 'b': 8700, 'c': 9900, 'd': 8700, 'e': 7100, 'f': 3300, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50800],\n   {'points': 3403, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'g', 'FLEX': ['c', 'a', 'd', 'g', 'f']},\n    {'a': 0, 'b': 2883, 'c': 225, 'd': 1795, 'e': 1795, 'f': 1333, 'g': -50, 'h': -45},\n    {'a': 3300, 'b': 5500, 'c': 3300, 'd': 10500, 'e': 3300, 'f': 8700, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 39500],\n   {'points': 3228, 'reason': 'roster', 'salary': 39600, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['a', 'e', 'g', 'd', 'b']},\n    {'a': -50, 'b': 2001, 'c': 1333, 'd': -45, 'e': 1333, 'f': 1795, 'g': 1795, 'h': 1333},\n    {'a': 7100, 'b': 10500, 'c': 7100, 'd': 7100, 'e': 10500, 'f': 7100, 'g': 3300, 'h': 10500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'A', 'h': 'A'}, 49100],\n   {'points': 4966, 'reason': 'roster', 'salary': 49200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'g', 'FLEX': ['d', 'h', 'b', 'c', 'e']},\n    {'a': -50, 'b': -50, 'c': -50, 'd': 1333, 'e': 225, 'f': 2001, 'g': 1916, 'h': 1795},\n    {'a': 10500, 'b': 10500, 'c': 5300, 'd': 7100, 'e': 3300, 'f': 8700, 'g': 7100, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 6127, 'reason': None, 'salary': 46800, 'valid': True})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['e', 'c', 'f', 'd', 'h']},\n    {'a': 2702, 'b': -45, 'c': 0, 'd': 1333, 'e': 1333, 'f': 2001, 'g': 1333, 'h': 0},\n    {'a': 7100, 'b': 8700, 'c': 5300, 'd': 9900, 'e': 9900, 'f': 8700, 'g': 8700, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 55600],\n   {'points': 6667, 'reason': None, 'salary': 55600, 'valid': True}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['b', 'f', 'd', 'g', 'a']},\n    {'a': -50, 'b': -72, 'c': 2722, 'd': 1795, 'e': -45, 'f': 225, 'g': 2255, 'h': 1795},\n    {'a': 8700, 'b': 9900, 'c': 5300, 'd': 8700, 'e': 5500, 'f': 10500, 'g': 5500, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 51600],\n   {'points': 7536, 'reason': 'roster', 'salary': 51600, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['f', 'c', 'h', 'f', 'd']},\n    {'a': 1795, 'b': -45, 'c': 2001, 'd': 2001, 'e': 1795, 'f': 225, 'g': 2757, 'h': 225},\n    {'a': 5500, 'b': 5500, 'c': 3300, 'd': 5500, 'e': 5300, 'f': 8700, 'g': 9900, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 44700],\n   {'points': 5015, 'reason': 'roster', 'salary': 44600, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['a', 'c', 'd', 'e', 'f']},\n    {'a': 0, 'b': 2607, 'c': 1333, 'd': 225, 'e': 883, 'f': 1323, 'g': -45, 'h': 0},\n    {'a': 3300, 'b': 10500, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 3300, 'g': 5300, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 34300],\n   {'points': 3696, 'reason': None, 'salary': 34300, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['h', 'f', 'a', 'b', 'g']},\n    {'a': -50, 'b': 0, 'c': 1795, 'd': 759, 'e': 0, 'f': 2965, 'g': -50, 'h': 0},\n    {'a': 5300, 'b': 5300, 'c': 8700, 'd': 7100, 'e': 7100, 'f': 3300, 'g': 8700, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 40400],\n   {'points': 2865, 'reason': 'roster', 'salary': 40400, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['c', 'e', 'd', 'b', 'f']},\n    {'a': 0, 'b': 1333, 'c': 1333, 'd': -45, 'e': 1078, 'f': -45, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 7100, 'c': 8700, 'd': 10500, 'e': 3300, 'f': 7100, 'g': 5300, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 52500],\n   {'points': 3586, 'reason': 'roster', 'salary': 52500, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'a', 'FLEX': ['g', 'b', 'h', 'd', 'e']},\n    {'a': 0, 'b': -45, 'c': 2001, 'd': 1333, 'e': 1333, 'f': 2001, 'g': 225, 'h': 0},\n    {'a': 3300, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 7100, 'f': 8700, 'g': 3300, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 2846, 'reason': None, 'salary': 35700, 'valid': True})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['g', 'b', 'h', 'f', 'a']},\n    {'a': 2001, 'b': 1333, 'c': 1795, 'd': 2622, 'e': 901, 'f': 1795, 'g': 1795, 'h': -50},\n    {'a': 7100, 'b': 7100, 'c': 9900, 'd': 5500, 'e': 5300, 'f': 5300, 'g': 10500, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 51100],\n   {'points': 9567, 'reason': 'roster', 'salary': 51100, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'f', 'FLEX': ['a', 'h', 'd', 'e', 'c']},\n    {'a': -50, 'b': 0, 'c': 1333, 'd': 225, 'e': 0, 'f': 1795, 'g': 225, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 7100, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 53300],\n   {'points': 4151, 'reason': None, 'salary': 53300, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'a', 'FLEX': ['e', 'h', 'g', 'b', 'a']},\n    {'a': 2001, 'b': 2001, 'c': 2001, 'd': -45, 'e': 672, 'f': 2001, 'g': -50, 'h': 2001},\n    {'a': 5300, 'b': 8700, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 10500, 'g': 8700, 'h': 9900},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 45800],\n   {'points': 9627, 'reason': 'roster', 'salary': 45900, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['a', 'e', 'f', 'b', 'g']},\n    {'a': 2001, 'b': 1795, 'c': 0, 'd': 1333, 'e': 1333, 'f': 0, 'g': 2001, 'h': 2001},\n    {'a': 5300, 'b': 8700, 'c': 5500, 'd': 8700, 'e': 5300, 'f': 7100, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 45300],\n   {'points': 7130, 'reason': None, 'salary': 45200, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'e', 'FLEX': ['g', 'a', 'f', 'e', 'h']},\n    {'a': 2001, 'b': 1795, 'c': 2001, 'd': 225, 'e': -45, 'f': -45, 'g': 225, 'h': 225},\n    {'a': 7100, 'b': 5500, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 5300, 'g': 5300, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 40800],\n   {'points': 2293, 'reason': 'roster', 'salary': 40800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'f', 'FLEX': ['b', 'c', 'f', 'g', 'e']},\n    {'a': 680, 'b': -45, 'c': -50, 'd': -50, 'e': 1795, 'f': -50, 'g': 2001, 'h': 2001},\n    {'a': 7100, 'b': 8700, 'c': 5500, 'd': 5500, 'e': 9900, 'f': 3300, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 42800],\n   {'points': 3576, 'reason': 'roster', 'salary': 42900, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'h', 'FLEX': ['d', 'a', 'h', 'c', 'g']},\n    {'a': 225, 'b': 225, 'c': 225, 'd': 1333, 'e': 225, 'f': -50, 'g': 1333, 'h': 70},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 3300, 'f': 8700, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51300],\n   {'points': 3291, 'reason': 'roster', 'salary': 51200, 'valid': False})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'h', 'FLEX': ['e', 'b', 'h', 'h', 'a']},\n    {'a': 0, 'b': 2001, 'c': 1795, 'd': -45, 'e': 0, 'f': 1795, 'g': 2824, 'h': 2001},\n    {'a': 8700, 'b': 3300, 'c': 5500, 'd': 9900, 'e': 5500, 'f': 5500, 'g': 8700, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 29100],\n   {'points': 9005, 'reason': 'roster', 'salary': 29100, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['c', 'd', 'g', 'e', 'f']},\n    {'a': 441, 'b': 662, 'c': -45, 'd': 1795, 'e': 225, 'f': -50, 'g': -45, 'h': 225},\n    {'a': 3300, 'b': 8700, 'c': 7100, 'd': 3300, 'e': 9900, 'f': 7100, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'A', 'h': 'H'}, 37800],\n   {'points': 4573, 'reason': 'roster', 'salary': 37900, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'd', 'FLEX': ['d', 'h', 'f', 'e', 'd']},\n    {'a': 2001, 'b': 893, 'c': -45, 'd': 1333, 'e': -45, 'f': 0, 'g': -45, 'h': 2686},\n    {'a': 5500, 'b': 5500, 'c': 8700, 'd': 9900, 'e': 7100, 'f': 3300, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52100],\n   {'points': 7307, 'reason': 'roster', 'salary': 52200, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['c', 'g', 'd', 'f', 'e']},\n    {'a': -45, 'b': 2744, 'c': -45, 'd': -45, 'e': 225, 'f': -45, 'g': 2001, 'h': 0},\n    {'a': 3300, 'b': 9900, 'c': 5500, 'd': 5300, 'e': 5300, 'f': 7100, 'g': 10500, 'h': 10500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 41900],\n   {'points': 2023, 'reason': 'roster', 'salary': 42000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'f', 'FLEX': ['f', 'e', 'h', 'b', 'c']},\n    {'a': 0, 'b': -45, 'c': -50, 'd': -50, 'e': 1795, 'f': -45, 'g': 0, 'h': 2001},\n    {'a': 5500, 'b': 7100, 'c': 5300, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 5500, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 38100],\n   {'points': 3588, 'reason': 'roster', 'salary': 38100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['b', 'e', 'c', 'g', 'd']},\n    {'a': 1795, 'b': -45, 'c': -50, 'd': 0, 'e': -45, 'f': 2001, 'g': 225, 'h': 1448},\n    {'a': 7100, 'b': 5500, 'c': 3300, 'd': 5500, 'e': 8700, 'f': 7100, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 40000],\n   {'points': 85, 'reason': 'roster', 'salary': 40000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['h', 'f', 'e', 'b', 'g']},\n    {'a': 0, 'b': 1795, 'c': 225, 'd': 1795, 'e': 2001, 'f': 0, 'g': 225, 'h': 2001},\n    {'a': 5500, 'b': 8700, 'c': 10500, 'd': 10500, 'e': 5300, 'f': 5500, 'g': 5300, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 38300],\n   {'points': 6022, 'reason': 'roster', 'salary': 38400, 'valid': False})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['f', 'g', 'd', 'b', 'h']},\n    {'a': -45, 'b': 225, 'c': 1795, 'd': 1957, 'e': 1530, 'f': 1795, 'g': 2001, 'h': -45},\n    {'a': 8700, 'b': 3300, 'c': 5500, 'd': 9900, 'e': 7100, 'f': 5300, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 47700],\n   {'points': 8869, 'reason': 'roster', 'salary': 47600, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'a', 'FLEX': ['b', 'c', 'h', 'f', 'd']},\n    {'a': 1795, 'b': 1795, 'c': 1586, 'd': 1333, 'e': -50, 'f': 479, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 8700, 'c': 5300, 'd': 8700, 'e': 7100, 'f': 9900, 'g': 5500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 47900],\n   {'points': 9219, 'reason': 'cap', 'salary': 48000, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'e', 'FLEX': ['h', 'g', 'a', 'e', 'd']},\n    {'a': 593, 'b': -45, 'c': 1795, 'd': 1608, 'e': 225, 'f': 143, 'g': 2001, 'h': 0},\n    {'a': 9900, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 5500, 'f': 10500, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 45900],\n   {'points': 4765, 'reason': 'roster', 'salary': 46000, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'e', 'FLEX': ['h', 'e', 'c', 'b', 'g']},\n    {'a': 1795, 'b': 1333, 'c': 2928, 'd': 0, 'e': -50, 'f': 0, 'g': 2001, 'h': -50},\n    {'a': 9900, 'b': 3300, 'c': 7100, 'd': 7100, 'e': 9900, 'f': 3300, 'g': 5500, 'h': 3300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 6087, 'reason': 'roster', 'salary': 44000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'd', 'FLEX': ['f', 'a', 'c', 'g', 'e']},\n    {'a': 320, 'b': 0, 'c': 1333, 'd': 2538, 'e': 1795, 'f': 225, 'g': 1333, 'h': 2001},\n    {'a': 5500, 'b': 5300, 'c': 8700, 'd': 8700, 'e': 9900, 'f': 5500, 'g': 7100, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 49800],\n   {'points': 8813, 'reason': None, 'salary': 49800, 'valid': True}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['h', 'c', 'f', 'b', 'a']},\n    {'a': 225, 'b': 0, 'c': 1795, 'd': 0, 'e': 0, 'f': -45, 'g': 2001, 'h': -50},\n    {'a': 3300, 'b': 3300, 'c': 10500, 'd': 9900, 'e': 5500, 'f': 3300, 'g': 9900, 'h': 5500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 34100],\n   {'points': 1850, 'reason': 'roster', 'salary': 34200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'e', 'FLEX': ['a', 'e', 'e', 'c', 'f']},\n    {'a': -50, 'b': 225, 'c': 1958, 'd': 1333, 'e': -45, 'f': 0, 'g': -45, 'h': 2001},\n    {'a': 5500, 'b': 5300, 'c': 3300, 'd': 8700, 'e': 10500, 'f': 10500, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 56200],\n   {'points': 1750, 'reason': 'roster', 'salary': 56100, 'valid': False})]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"734f0f3c3037bcb7a5f3c5e05ee12b3fa46a6f0ef24845de3a44da13673083e0","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(lineup, points, salaries, teams, cap):\n    cpt, flex = lineup['CPT'], lineup['FLEX']\n    names = [cpt] + flex\n    cpt_salary = -(-salaries[cpt] * 3 // 200) * 100\n    salary = cpt_salary + sum(salaries[p] for p in flex)\n    c = points[cpt] * 3\n    cpt_pts = (abs(c) + 1) // 2 * (1 if c >= 0 else -1)\n    total = cpt_pts + sum(points[p] for p in flex)\n    if len(flex) != 5 or len(set(names)) != 6:\n        return {'valid': False, 'reason': 'roster', 'salary': salary, 'points': total}\n    if salary > cap:\n        return {'valid': False, 'reason': 'cap', 'salary': salary, 'points': total}\n    if len({teams[p] for p in names}) < 2:\n        return {'valid': False, 'reason': 'teams', 'salary': salary, 'points': total}\n    return {'valid': True, 'reason': None, 'salary': salary, 'points': total}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['a', 'f', 'g', 'h', 'b']},\n    {'a': -45, 'b': -45, 'c': 1687, 'd': 2001, 'e': 0, 'f': -45, 'g': -50, 'h': 0},\n    {'a': 5500, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 5300, 'f': 7100, 'g': 3300, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 46500],\n   {'points': 2817, 'reason': 'cap', 'salary': 46600, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'h', 'FLEX': ['a', 'h', 'e', 'b', 'c']},\n    {'a': 2370, 'b': 0, 'c': 225, 'd': 1333, 'e': 1795, 'f': 719, 'g': -50, 'h': 1795},\n    {'a': 10500, 'b': 8700, 'c': 3300, 'd': 10500, 'e': 10500, 'f': 9900, 'g': 5500, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 50900],\n   {'points': 8878, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['g', 'f', 'c', 'b', 'e']},\n    {'a': -45, 'b': 427, 'c': 2001, 'd': -50, 'e': 225, 'f': 2001, 'g': 1795, 'h': 2001},\n    {'a': 5300, 'b': 5500, 'c': 5500, 'd': 3300, 'e': 8700, 'f': 5500, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 39000],\n   {'points': 9451, 'reason': None, 'salary': 39000, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'b', 'FLEX': ['f', 'd', 'e', 'c', 'b']},\n    {'a': 225, 'b': 756, 'c': -45, 'd': 225, 'e': 0, 'f': 1333, 'g': 0, 'h': 1333},\n    {'a': 7100, 'b': 8700, 'c': 9900, 'd': 8700, 'e': 7100, 'f': 3300, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50800],\n   {'points': 3403, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'g', 'FLEX': ['c', 'a', 'd', 'g', 'f']},\n    {'a': 0, 'b': 2883, 'c': 225, 'd': 1795, 'e': 1795, 'f': 1333, 'g': -50, 'h': -45},\n    {'a': 3300, 'b': 5500, 'c': 3300, 'd': 10500, 'e': 3300, 'f': 8700, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 39500],\n   {'points': 3228, 'reason': 'roster', 'salary': 39600, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['a', 'e', 'g', 'd', 'b']},\n    {'a': -50, 'b': 2001, 'c': 1333, 'd': -45, 'e': 1333, 'f': 1795, 'g': 1795, 'h': 1333},\n    {'a': 7100, 'b': 10500, 'c': 7100, 'd': 7100, 'e': 10500, 'f': 7100, 'g': 3300, 'h': 10500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'A', 'h': 'A'}, 49100],\n   {'points': 4966, 'reason': 'roster', 'salary': 49200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'g', 'FLEX': ['d', 'h', 'b', 'c', 'e']},\n    {'a': -50, 'b': -50, 'c': -50, 'd': 1333, 'e': 225, 'f': 2001, 'g': 1916, 'h': 1795},\n    {'a': 10500, 'b': 10500, 'c': 5300, 'd': 7100, 'e': 3300, 'f': 8700, 'g': 7100, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 6127, 'reason': None, 'salary': 46800, 'valid': True})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['e', 'c', 'f', 'd', 'h']},\n    {'a': 2702, 'b': -45, 'c': 0, 'd': 1333, 'e': 1333, 'f': 2001, 'g': 1333, 'h': 0},\n    {'a': 7100, 'b': 8700, 'c': 5300, 'd': 9900, 'e': 9900, 'f': 8700, 'g': 8700, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 55600],\n   {'points': 6667, 'reason': None, 'salary': 55600, 'valid': True}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['b', 'f', 'd', 'g', 'a']},\n    {'a': -50, 'b': -72, 'c': 2722, 'd': 1795, 'e': -45, 'f': 225, 'g': 2255, 'h': 1795},\n    {'a': 8700, 'b': 9900, 'c': 5300, 'd': 8700, 'e': 5500, 'f': 10500, 'g': 5500, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 51600],\n   {'points': 7536, 'reason': 'roster', 'salary': 51600, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['f', 'c', 'h', 'f', 'd']},\n    {'a': 1795, 'b': -45, 'c': 2001, 'd': 2001, 'e': 1795, 'f': 225, 'g': 2757, 'h': 225},\n    {'a': 5500, 'b': 5500, 'c': 3300, 'd': 5500, 'e': 5300, 'f': 8700, 'g': 9900, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 44700],\n   {'points': 5015, 'reason': 'roster', 'salary': 44600, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['a', 'c', 'd', 'e', 'f']},\n    {'a': 0, 'b': 2607, 'c': 1333, 'd': 225, 'e': 883, 'f': 1323, 'g': -45, 'h': 0},\n    {'a': 3300, 'b': 10500, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 3300, 'g': 5300, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 34300],\n   {'points': 3696, 'reason': None, 'salary': 34300, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['h', 'f', 'a', 'b', 'g']},\n    {'a': -50, 'b': 0, 'c': 1795, 'd': 759, 'e': 0, 'f': 2965, 'g': -50, 'h': 0},\n    {'a': 5300, 'b': 5300, 'c': 8700, 'd': 7100, 'e': 7100, 'f': 3300, 'g': 8700, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 40400],\n   {'points': 2865, 'reason': 'roster', 'salary': 40400, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['c', 'e', 'd', 'b', 'f']},\n    {'a': 0, 'b': 1333, 'c': 1333, 'd': -45, 'e': 1078, 'f': -45, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 7100, 'c': 8700, 'd': 10500, 'e': 3300, 'f': 7100, 'g': 5300, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 52500],\n   {'points': 3586, 'reason': 'roster', 'salary': 52500, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'a', 'FLEX': ['g', 'b', 'h', 'd', 'e']},\n    {'a': 0, 'b': -45, 'c': 2001, 'd': 1333, 'e': 1333, 'f': 2001, 'g': 225, 'h': 0},\n    {'a': 3300, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 7100, 'f': 8700, 'g': 3300, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 2846, 'reason': None, 'salary': 35700, 'valid': True})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'g', 'FLEX': ['g', 'b', 'h', 'f', 'a']},\n    {'a': 2001, 'b': 1333, 'c': 1795, 'd': 2622, 'e': 901, 'f': 1795, 'g': 1795, 'h': -50},\n    {'a': 7100, 'b': 7100, 'c': 9900, 'd': 5500, 'e': 5300, 'f': 5300, 'g': 10500, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 51100],\n   {'points': 9567, 'reason': 'roster', 'salary': 51100, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'f', 'FLEX': ['a', 'h', 'd', 'e', 'c']},\n    {'a': -50, 'b': 0, 'c': 1333, 'd': 225, 'e': 0, 'f': 1795, 'g': 225, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 7100, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 53300],\n   {'points': 4151, 'reason': None, 'salary': 53300, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'a', 'FLEX': ['e', 'h', 'g', 'b', 'a']},\n    {'a': 2001, 'b': 2001, 'c': 2001, 'd': -45, 'e': 672, 'f': 2001, 'g': -50, 'h': 2001},\n    {'a': 5300, 'b': 8700, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 10500, 'g': 8700, 'h': 9900},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 45800],\n   {'points': 9627, 'reason': 'roster', 'salary': 45900, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['a', 'e', 'f', 'b', 'g']},\n    {'a': 2001, 'b': 1795, 'c': 0, 'd': 1333, 'e': 1333, 'f': 0, 'g': 2001, 'h': 2001},\n    {'a': 5300, 'b': 8700, 'c': 5500, 'd': 8700, 'e': 5300, 'f': 7100, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 45300],\n   {'points': 7130, 'reason': None, 'salary': 45200, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'e', 'FLEX': ['g', 'a', 'f', 'e', 'h']},\n    {'a': 2001, 'b': 1795, 'c': 2001, 'd': 225, 'e': -45, 'f': -45, 'g': 225, 'h': 225},\n    {'a': 7100, 'b': 5500, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 5300, 'g': 5300, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 40800],\n   {'points': 2293, 'reason': 'roster', 'salary': 40800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'f', 'FLEX': ['b', 'c', 'f', 'g', 'e']},\n    {'a': 680, 'b': -45, 'c': -50, 'd': -50, 'e': 1795, 'f': -50, 'g': 2001, 'h': 2001},\n    {'a': 7100, 'b': 8700, 'c': 5500, 'd': 5500, 'e': 9900, 'f': 3300, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 42800],\n   {'points': 3576, 'reason': 'roster', 'salary': 42900, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'h', 'FLEX': ['d', 'a', 'h', 'c', 'g']},\n    {'a': 225, 'b': 225, 'c': 225, 'd': 1333, 'e': 225, 'f': -50, 'g': 1333, 'h': 70},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 3300, 'f': 8700, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51300],\n   {'points': 3291, 'reason': 'roster', 'salary': 51200, 'valid': False})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'h', 'FLEX': ['e', 'b', 'h', 'h', 'a']},\n    {'a': 0, 'b': 2001, 'c': 1795, 'd': -45, 'e': 0, 'f': 1795, 'g': 2824, 'h': 2001},\n    {'a': 8700, 'b': 3300, 'c': 5500, 'd': 9900, 'e': 5500, 'f': 5500, 'g': 8700, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 29100],\n   {'points': 9005, 'reason': 'roster', 'salary': 29100, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['c', 'd', 'g', 'e', 'f']},\n    {'a': 441, 'b': 662, 'c': -45, 'd': 1795, 'e': 225, 'f': -50, 'g': -45, 'h': 225},\n    {'a': 3300, 'b': 8700, 'c': 7100, 'd': 3300, 'e': 9900, 'f': 7100, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'A', 'h': 'H'}, 37800],\n   {'points': 4573, 'reason': 'roster', 'salary': 37900, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'd', 'FLEX': ['d', 'h', 'f', 'e', 'd']},\n    {'a': 2001, 'b': 893, 'c': -45, 'd': 1333, 'e': -45, 'f': 0, 'g': -45, 'h': 2686},\n    {'a': 5500, 'b': 5500, 'c': 8700, 'd': 9900, 'e': 7100, 'f': 3300, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52100],\n   {'points': 7307, 'reason': 'roster', 'salary': 52200, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['c', 'g', 'd', 'f', 'e']},\n    {'a': -45, 'b': 2744, 'c': -45, 'd': -45, 'e': 225, 'f': -45, 'g': 2001, 'h': 0},\n    {'a': 3300, 'b': 9900, 'c': 5500, 'd': 5300, 'e': 5300, 'f': 7100, 'g': 10500, 'h': 10500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 41900],\n   {'points': 2023, 'reason': 'roster', 'salary': 42000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'f', 'FLEX': ['f', 'e', 'h', 'b', 'c']},\n    {'a': 0, 'b': -45, 'c': -50, 'd': -50, 'e': 1795, 'f': -45, 'g': 0, 'h': 2001},\n    {'a': 5500, 'b': 7100, 'c': 5300, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 5500, 'h': 8700},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 38100],\n   {'points': 3588, 'reason': 'roster', 'salary': 38100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['b', 'e', 'c', 'g', 'd']},\n    {'a': 1795, 'b': -45, 'c': -50, 'd': 0, 'e': -45, 'f': 2001, 'g': 225, 'h': 1448},\n    {'a': 7100, 'b': 5500, 'c': 3300, 'd': 5500, 'e': 8700, 'f': 7100, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 40000],\n   {'points': 85, 'reason': 'roster', 'salary': 40000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['h', 'f', 'e', 'b', 'g']},\n    {'a': 0, 'b': 1795, 'c': 225, 'd': 1795, 'e': 2001, 'f': 0, 'g': 225, 'h': 2001},\n    {'a': 5500, 'b': 8700, 'c': 10500, 'd': 10500, 'e': 5300, 'f': 5500, 'g': 5300, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 38300],\n   {'points': 6022, 'reason': 'roster', 'salary': 38400, 'valid': False})],\n [('regression: captain half-point rounding',\n   [{'CPT': 'd', 'FLEX': ['f', 'g', 'd', 'b', 'h']},\n    {'a': -45, 'b': 225, 'c': 1795, 'd': 1957, 'e': 1530, 'f': 1795, 'g': 2001, 'h': -45},\n    {'a': 8700, 'b': 3300, 'c': 5500, 'd': 9900, 'e': 7100, 'f': 5300, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 47700],\n   {'points': 8869, 'reason': 'roster', 'salary': 47600, 'valid': False}),\n  ('partial repair probe: captain half-point rounding',\n   [{'CPT': 'a', 'FLEX': ['b', 'c', 'h', 'f', 'd']},\n    {'a': 1795, 'b': 1795, 'c': 1586, 'd': 1333, 'e': -50, 'f': 479, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 8700, 'c': 5300, 'd': 8700, 'e': 7100, 'f': 9900, 'g': 5500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 47900],\n   {'points': 9219, 'reason': 'cap', 'salary': 48000, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'e', 'FLEX': ['h', 'g', 'a', 'e', 'd']},\n    {'a': 593, 'b': -45, 'c': 1795, 'd': 1608, 'e': 225, 'f': 143, 'g': 2001, 'h': 0},\n    {'a': 9900, 'b': 7100, 'c': 8700, 'd': 9900, 'e': 5500, 'f': 10500, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 45900],\n   {'points': 4765, 'reason': 'roster', 'salary': 46000, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'e', 'FLEX': ['h', 'e', 'c', 'b', 'g']},\n    {'a': 1795, 'b': 1333, 'c': 2928, 'd': 0, 'e': -50, 'f': 0, 'g': 2001, 'h': -50},\n    {'a': 9900, 'b': 3300, 'c': 7100, 'd': 7100, 'e': 9900, 'f': 3300, 'g': 5500, 'h': 3300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 6087, 'reason': 'roster', 'salary': 44000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'd', 'FLEX': ['f', 'a', 'c', 'g', 'e']},\n    {'a': 320, 'b': 0, 'c': 1333, 'd': 2538, 'e': 1795, 'f': 225, 'g': 1333, 'h': 2001},\n    {'a': 5500, 'b': 5300, 'c': 8700, 'd': 8700, 'e': 9900, 'f': 5500, 'g': 7100, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 49800],\n   {'points': 8813, 'reason': None, 'salary': 49800, 'valid': True}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['h', 'c', 'f', 'b', 'a']},\n    {'a': 225, 'b': 0, 'c': 1795, 'd': 0, 'e': 0, 'f': -45, 'g': 2001, 'h': -50},\n    {'a': 3300, 'b': 3300, 'c': 10500, 'd': 9900, 'e': 5500, 'f': 3300, 'g': 9900, 'h': 5500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 34100],\n   {'points': 1850, 'reason': 'roster', 'salary': 34200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'e', 'FLEX': ['a', 'e', 'e', 'c', 'f']},\n    {'a': -50, 'b': 225, 'c': 1958, 'd': 1333, 'e': -45, 'f': 0, 'g': -45, 'h': 2001},\n    {'a': 5500, 'b': 5300, 'c': 3300, 'd': 8700, 'e': 10500, 'f': 10500, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 56200],\n   {'points': 1750, 'reason': 'roster', 'salary': 56100, 'valid': False})]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"A deterministic toy scoring contract stipulated for this example; it is not the rulebook of any real fantasy platform. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-fantasy-sports-scoring-captain-showdown-captain-half-point-rounding","generated_at":"2026-09-29T14:50:36.830090+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Captain multipliers on both salary and points are where showdown contest lineups are mispriced or wrongly rejected.","repair":"Round half away from zero on the magnitude and reapply the sign.","root_cause":"The 1.5x points are floor-divided, rounding halves down and negatives away from zero.","sha256":"b4c2c538c19df966d3399cd510f68d7c6d34f7826d517fc0347c0ce224e830d9","title":"Captain half-hundredths floored · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":43.438,"exit_code":1,"observations":[{"actual":{"points":2817,"reason":"cap","salary":46600,"valid":false},"check":"regression: captain half-point rounding","expected":{"points":2817,"reason":"cap","salary":46600,"valid":false},"passed":true},{"actual":{"points":8877,"reason":"roster","salary":50800,"valid":false},"check":"partial repair probe: captain half-point rounding","expected":{"points":8878,"reason":"roster","salary":50800,"valid":false},"passed":false},{"actual":{"points":9451,"reason":null,"salary":39000,"valid":true},"check":"second regression","expected":{"points":9451,"reason":null,"salary":39000,"valid":true},"passed":true},{"actual":{"points":3403,"reason":"roster","salary":50800,"valid":false},"check":"normal control 1","expected":{"points":3403,"reason":"roster","salary":50800,"valid":false},"passed":true},{"actual":{"points":3228,"reason":"roster","salary":39600,"valid":false},"check":"normal control 2","expected":{"points":3228,"reason":"roster","salary":39600,"valid":false},"passed":true},{"actual":{"points":4966,"reason":"roster","salary":49200,"valid":false},"check":"normal control 3","expected":{"points":4966,"reason":"roster","salary":49200,"valid":false},"passed":true},{"actual":{"points":6127,"reason":null,"salary":46800,"valid":true},"check":"normal control 4","expected":{"points":6127,"reason":null,"salary":46800,"valid":true},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: captain half-point rounding\", \"actual\": {\"valid\": false, \"reason\": \"cap\", \"salary\": 46600, \"points\": 2817}, \"expected\": {\"points\": 2817, \"reason\": \"cap\", \"salary\": 46600, \"valid\": false}, \"passed\": true}, {\"check\": \"partial repair probe: captain half-point rounding\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 50800, \"points\": 8877}, \"expected\": {\"points\": 8878, \"reason\": \"roster\", \"salary\": 50800, \"valid\": false}, \"passed\": false}, {\"check\": \"second regression\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 39000, \"points\": 9451}, \"expected\": {\"points\": 9451, \"reason\": null, \"salary\": 39000, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 50800, \"points\": 3403}, \"expected\": {\"points\": 3403, \"reason\": \"roster\", \"salary\": 50800, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 39600, \"points\": 3228}, \"expected\": {\"points\": 3228, \"reason\": \"roster\", \"salary\": 39600, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 49200, \"points\": 4966}, \"expected\": {\"points\": 4966, \"reason\": \"roster\", \"salary\": 49200, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 46800, \"points\": 6127}, \"expected\": {\"points\": 6127, \"reason\": null, \"salary\": 46800, \"valid\": true}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.875,"exit_code":1,"observations":[{"actual":{"points":2816,"reason":"cap","salary":46600,"valid":false},"check":"regression: captain half-point rounding","expected":{"points":2817,"reason":"cap","salary":46600,"valid":false},"passed":false},{"actual":{"points":8877,"reason":"roster","salary":50800,"valid":false},"check":"partial repair probe: captain half-point rounding","expected":{"points":8878,"reason":"roster","salary":50800,"valid":false},"passed":false},{"actual":{"points":9450,"reason":null,"salary":39000,"valid":true},"check":"second regression","expected":{"points":9451,"reason":null,"salary":39000,"valid":true},"passed":false},{"actual":{"points":3403,"reason":"roster","salary":50800,"valid":false},"check":"normal control 1","expected":{"points":3403,"reason":"roster","salary":50800,"valid":false},"passed":true},{"actual":{"points":3228,"reason":"roster","salary":39600,"valid":false},"check":"normal control 2","expected":{"points":3228,"reason":"roster","salary":39600,"valid":false},"passed":true},{"actual":{"points":4966,"reason":"roster","salary":49200,"valid":false},"check":"normal control 3","expected":{"points":4966,"reason":"roster","salary":49200,"valid":false},"passed":true},{"actual":{"points":6127,"reason":null,"salary":46800,"valid":true},"check":"normal control 4","expected":{"points":6127,"reason":null,"salary":46800,"valid":true},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: captain half-point rounding\", \"actual\": {\"valid\": false, \"reason\": \"cap\", \"salary\": 46600, \"points\": 2816}, \"expected\": {\"points\": 2817, \"reason\": \"cap\", \"salary\": 46600, \"valid\": false}, \"passed\": false}, {\"check\": \"partial repair probe: captain half-point rounding\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 50800, \"points\": 8877}, \"expected\": {\"points\": 8878, \"reason\": \"roster\", \"salary\": 50800, \"valid\": false}, \"passed\": false}, {\"check\": \"second regression\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 39000, \"points\": 9450}, \"expected\": {\"points\": 9451, \"reason\": null, \"salary\": 39000, \"valid\": true}, \"passed\": false}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 50800, \"points\": 3403}, \"expected\": {\"points\": 3403, \"reason\": \"roster\", \"salary\": 50800, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 39600, \"points\": 3228}, \"expected\": {\"points\": 3228, \"reason\": \"roster\", \"salary\": 39600, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 49200, \"points\": 4966}, \"expected\": {\"points\": 4966, \"reason\": \"roster\", \"salary\": 49200, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 46800, \"points\": 6127}, \"expected\": {\"points\": 6127, \"reason\": null, \"salary\": 46800, \"valid\": true}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":41.955,"exit_code":0,"observations":[{"actual":{"points":2817,"reason":"cap","salary":46600,"valid":false},"check":"regression: captain half-point rounding","expected":{"points":2817,"reason":"cap","salary":46600,"valid":false},"passed":true},{"actual":{"points":8878,"reason":"roster","salary":50800,"valid":false},"check":"partial repair probe: captain half-point rounding","expected":{"points":8878,"reason":"roster","salary":50800,"valid":false},"passed":true},{"actual":{"points":9451,"reason":null,"salary":39000,"valid":true},"check":"second regression","expected":{"points":9451,"reason":null,"salary":39000,"valid":true},"passed":true},{"actual":{"points":3403,"reason":"roster","salary":50800,"valid":false},"check":"normal control 1","expected":{"points":3403,"reason":"roster","salary":50800,"valid":false},"passed":true},{"actual":{"points":3228,"reason":"roster","salary":39600,"valid":false},"check":"normal control 2","expected":{"points":3228,"reason":"roster","salary":39600,"valid":false},"passed":true},{"actual":{"points":4966,"reason":"roster","salary":49200,"valid":false},"check":"normal control 3","expected":{"points":4966,"reason":"roster","salary":49200,"valid":false},"passed":true},{"actual":{"points":6127,"reason":null,"salary":46800,"valid":true},"check":"normal control 4","expected":{"points":6127,"reason":null,"salary":46800,"valid":true},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: captain half-point rounding\", \"actual\": {\"valid\": false, \"reason\": \"cap\", \"salary\": 46600, \"points\": 2817}, \"expected\": {\"points\": 2817, \"reason\": \"cap\", \"salary\": 46600, \"valid\": false}, \"passed\": true}, {\"check\": \"partial repair probe: captain half-point rounding\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 50800, \"points\": 8878}, \"expected\": {\"points\": 8878, \"reason\": \"roster\", \"salary\": 50800, \"valid\": false}, \"passed\": true}, {\"check\": \"second regression\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 39000, \"points\": 9451}, \"expected\": {\"points\": 9451, \"reason\": null, \"salary\": 39000, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 50800, \"points\": 3403}, \"expected\": {\"points\": 3403, \"reason\": \"roster\", \"salary\": 50800, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 39600, \"points\": 3228}, \"expected\": {\"points\": 3228, \"reason\": \"roster\", \"salary\": 39600, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 49200, \"points\": 4966}, \"expected\": {\"points\": 4966, \"reason\": \"roster\", \"salary\": 49200, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 46800, \"points\": 6127}, \"expected\": {\"points\": 6127, \"reason\": null, \"salary\": 46800, \"valid\": true}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}