{"abstract":"A lineup using every dollar of the cap is refused as over budget.","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.","contract_signature":"lineup, points, salaries, teams, cap","evaluation_group":"w2-fantasy-sports-scoring-captain-showdown","failed_approach":"Comparing with the unmultiplied captain salary accepts lineups that are over the cap.","family":"w2-fantasy-sports-scoring-captain-showdown-salary-cap-boundary","id":"FA-85061","implementations":{"attempt":{"sha256":"dd3f8859d43d8d0db39e6d1a7f8fb00519eb57b727f826dca678822ddd1c59bc","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 - cpt_salary + salaries[cpt] > 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: salary cap boundary',\n   [{'CPT': 'f', 'FLEX': ['h', 'e', 'a', 'c', 'd']},\n    {'a': 1791, 'b': 12, 'c': 2001, 'd': 225, 'e': 1833, 'f': -45, 'g': -45, 'h': 225},\n    {'a': 9900, 'b': 3300, 'c': 8700, 'd': 9900, 'e': 8700, 'f': 7100, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 53400],\n   {'points': 6007, 'reason': None, 'salary': 53400, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'e', 'FLEX': ['c', 'd', 'f', 'g', 'h']},\n    {'a': -45, 'b': 2001, 'c': 2001, 'd': 1795, 'e': 0, 'f': 2763, 'g': 225, 'h': 1566},\n    {'a': 9900, 'b': 7100, 'c': 8700, 'd': 7100, 'e': 9900, 'f': 5500, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 8350, 'reason': 'cap', 'salary': 53800, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['c', 'a', 'd', 'g', 'b']},\n    {'a': 1795, 'b': 225, 'c': -50, 'd': 1333, 'e': 0, 'f': 2256, 'g': 1333, 'h': 2001},\n    {'a': 8700, 'b': 9900, 'c': 9900, 'd': 9900, 'e': 5500, 'f': 10500, 'g': 5300, 'h': 3300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 59500],\n   {'points': 8020, 'reason': None, 'salary': 59500, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'f', 'FLEX': ['d', 'a', 'f', 'b', 'e']},\n    {'a': 1795, 'b': 1795, 'c': -50, 'd': 2001, 'e': 0, 'f': -50, 'g': -50, 'h': -45},\n    {'a': 3300, 'b': 8700, 'c': 8700, 'd': 8700, 'e': 8700, 'f': 5500, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 5466, 'reason': 'roster', 'salary': 43200, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'c', 'FLEX': ['b', 'f', 'e', 'a', 'h']},\n    {'a': 1795, 'b': 2001, 'c': 225, 'd': -45, 'e': 2001, 'f': -45, 'g': 225, 'h': 225},\n    {'a': 9900, 'b': 10500, 'c': 5300, 'd': 5500, 'e': 8700, 'f': 5300, 'g': 5300, 'h': 8700},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51200],\n   {'points': 6315, 'reason': None, 'salary': 51100, 'valid': True}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['g', 'h', 'b', 'a', 'h']},\n    {'a': 0, 'b': -50, 'c': -50, 'd': 2590, 'e': 225, 'f': 176, 'g': 225, 'h': 0},\n    {'a': 3300, 'b': 9900, 'c': 3300, 'd': 8700, 'e': 5300, 'f': 3300, 'g': 9900, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 48100],\n   {'points': 175, 'reason': 'roster', 'salary': 48000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['e', 'a', 'b', 'c', 'g']},\n    {'a': 2001, 'b': 1333, 'c': -45, 'd': 225, 'e': -50, 'f': 1333, 'g': -45, 'h': 0},\n    {'a': 9900, 'b': 10500, 'c': 8700, 'd': 7100, 'e': 3300, 'f': 5300, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3532, 'reason': None, 'salary': 48600, 'valid': True})],\n [('regression: salary cap boundary',\n   [{'CPT': 'g', 'FLEX': ['f', 'e', 'a', 'c', 'd']},\n    {'a': 1795, 'b': 628, 'c': 2001, 'd': -50, 'e': 1333, 'f': 1333, 'g': -45, 'h': 2835},\n    {'a': 5300, 'b': 7100, 'c': 10500, 'd': 9900, 'e': 5300, 'f': 5500, 'g': 8700, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 49600],\n   {'points': 6344, 'reason': None, 'salary': 49600, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'g', 'FLEX': ['e', 'c', 'b', 'd', 'a']},\n    {'a': 2241, 'b': 1664, 'c': 2001, 'd': 225, 'e': 1795, 'f': 2184, 'g': 225, 'h': 225},\n    {'a': 5300, 'b': 9900, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 5500, 'g': 8700, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 8264, 'reason': 'cap', 'salary': 51000, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['f', 'h', 'd', 'e', 'g']},\n    {'a': 0, 'b': 2001, 'c': 0, 'd': -50, 'e': 1333, 'f': -45, 'g': 1795, 'h': 2001},\n    {'a': 8700, 'b': 10500, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 7100, 'g': 10500, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 47100],\n   {'points': 5034, 'reason': 'cap', 'salary': 47200, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'b', 'FLEX': ['d', 'f', 'b', 'h', 'g']},\n    {'a': 225, 'b': 2001, 'c': 2001, 'd': 1333, 'e': -50, 'f': 0, 'g': 2001, 'h': 1333},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 3300, 'e': 5500, 'f': 3300, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 9670, 'reason': 'roster', 'salary': 45400, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'd', 'FLEX': ['f', 'a', 'c', 'd', 'b']},\n    {'a': -45, 'b': -45, 'c': 0, 'd': -50, 'e': -94, 'f': 2001, 'g': 225, 'h': -50},\n    {'a': 7100, 'b': 5300, 'c': 3300, 'd': 3300, 'e': 3300, 'f': 7100, 'g': 5300, 'h': 10500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 31000],\n   {'points': 1786, 'reason': 'roster', 'salary': 31100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'e', 'FLEX': ['g', 'a', 'e', 'c', 'h']},\n    {'a': -45, 'b': -50, 'c': 225, 'd': -50, 'e': 0, 'f': -50, 'g': 0, 'h': 0},\n    {'a': 5300, 'b': 9900, 'c': 5500, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 180, 'reason': 'roster', 'salary': 52900, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['e', 'c', 'f', 'd', 'b']},\n    {'a': -45, 'b': 532, 'c': 0, 'd': 2001, 'e': 0, 'f': -50, 'g': 1385, 'h': -50},\n    {'a': 9900, 'b': 5500, 'c': 8700, 'd': 3300, 'e': 7100, 'f': 9900, 'g': 8700, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 49400],\n   {'points': 2408, 'reason': 'roster', 'salary': 49400, 'valid': False})],\n [('regression: salary cap boundary',\n   [{'CPT': 'h', 'FLEX': ['c', 'd', 'a', 'e', 'f']},\n    {'a': 225, 'b': 225, 'c': 225, 'd': 2690, 'e': 0, 'f': 1333, 'g': 332, 'h': 1333},\n    {'a': 5300, 'b': 3300, 'c': 9900, 'd': 8700, 'e': 8700, 'f': 9900, 'g': 9900, 'h': 8700},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 55600],\n   {'points': 6473, 'reason': None, 'salary': 55600, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'b', 'FLEX': ['c', 'a', 'g', 'e', 'h']},\n    {'a': -45, 'b': -45, 'c': -50, 'd': -45, 'e': 325, 'f': 225, 'g': 1333, 'h': 2279},\n    {'a': 9900, 'b': 8700, 'c': 5300, 'd': 5500, 'e': 10500, 'f': 3300, 'g': 7100, 'h': 5500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 51300],\n   {'points': 3774, 'reason': 'cap', 'salary': 51400, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['a', 'g', 'd', 'f', 'b']},\n    {'a': -50, 'b': 1333, 'c': 1795, 'd': -50, 'e': -50, 'f': 0, 'g': 741, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 8700, 'd': 3300, 'e': 3300, 'f': 7100, 'g': 9900, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 48300],\n   {'points': 1899, 'reason': 'cap', 'salary': 48400, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'h', 'FLEX': ['f', 'c', 'h', 'b']},\n    {'a': 2001, 'b': 2001, 'c': -45, 'd': 439, 'e': 2001, 'f': 1333, 'g': 225, 'h': 0},\n    {'a': 10500, 'b': 9900, 'c': 9900, 'd': 3300, 'e': 9900, 'f': 8700, 'g': 5500, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 41900],\n   {'points': 3289, 'reason': 'roster', 'salary': 41800, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['c', 'd', 'h', 'f']},\n    {'a': 2001, 'b': 1333, 'c': 1795, 'd': 1795, 'e': 0, 'f': 2915, 'g': 2001, 'h': -45},\n    {'a': 3300, 'b': 10500, 'c': 5300, 'd': 10500, 'e': 5500, 'f': 10500, 'g': 7100, 'h': 9900},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51000],\n   {'points': 6392, 'reason': 'roster', 'salary': 51100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'c', 'FLEX': ['a', 'h', 'f', 'd', 'g']},\n    {'a': 2001, 'b': -45, 'c': 1333, 'd': 2807, 'e': 0, 'f': 1333, 'g': -45, 'h': 1333},\n    {'a': 10500, 'b': 3300, 'c': 10500, 'd': 5500, 'e': 5300, 'f': 10500, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 9429, 'reason': 'cap', 'salary': 56500, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'g', 'c', 'e']},\n    {'a': 1333, 'b': -45, 'c': -50, 'd': -45, 'e': 1333, 'f': -45, 'g': 1795, 'h': -50},\n    {'a': 5500, 'b': 5500, 'c': 10500, 'd': 9900, 'e': 5300, 'f': 7100, 'g': 3300, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 52400],\n   {'points': 2908, 'reason': 'roster', 'salary': 52500, 'valid': False})],\n [('regression: salary cap boundary',\n   [{'CPT': 'h', 'FLEX': ['a', 'c', 'e', 'd', 'f']},\n    {'a': 2001, 'b': -45, 'c': 225, 'd': 225, 'e': 1580, 'f': -50, 'g': -45, 'h': 0},\n    {'a': 3300, 'b': 7100, 'c': 8700, 'd': 8700, 'e': 10500, 'f': 5500, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 45000],\n   {'points': 3981, 'reason': 'teams', 'salary': 45000, 'valid': False}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'b', 'FLEX': ['g', 'e', 'f', 'c', 'a']},\n    {'a': 1333, 'b': -50, 'c': 225, 'd': 1333, 'e': 1333, 'f': 225, 'g': 1795, 'h': 1795},\n    {'a': 10500, 'b': 5500, 'c': 5300, 'd': 8700, 'e': 8700, 'f': 10500, 'g': 7100, 'h': 3300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 4836, 'reason': 'cap', 'salary': 50400, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'd', 'g', 'a']},\n    {'a': -45, 'b': -45, 'c': 1333, 'd': 2001, 'e': 0, 'f': 225, 'g': -45, 'h': 2001},\n    {'a': 10500, 'b': 7100, 'c': 5500, 'd': 5500, 'e': 7100, 'f': 7100, 'g': 7100, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 43700],\n   {'points': 6137, 'reason': 'cap', 'salary': 43800, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['b', 'a', 'g', 'e', 'd']},\n    {'a': 1333, 'b': -50, 'c': 0, 'd': 1551, 'e': 2001, 'f': 2001, 'g': -50, 'h': 1030},\n    {'a': 10500, 'b': 9900, 'c': 5300, 'd': 5300, 'e': 8700, 'f': 5500, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 60600],\n   {'points': 4710, 'reason': 'roster', 'salary': 60700, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'f', 'FLEX': ['h', 'f', 'e', 'a', 'c']},\n    {'a': 169, 'b': 2001, 'c': 0, 'd': 1333, 'e': -45, 'f': 2001, 'g': 2001, 'h': -45},\n    {'a': 5500, 'b': 5300, 'c': 7100, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 5082, 'reason': 'roster', 'salary': 34900, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'e', 'FLEX': ['d', 'g', 'a', 'h']},\n    {'a': 0, 'b': 1020, 'c': 2001, 'd': 0, 'e': 2001, 'f': -45, 'g': -50, 'h': 225},\n    {'a': 7100, 'b': 9900, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 7100, 'g': 5300, 'h': 8700},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3177, 'reason': 'roster', 'salary': 38100, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['h', 'a', 'c', 'g', 'b']},\n    {'a': 225, 'b': 2001, 'c': 1333, 'd': 0, 'e': -45, 'f': 2498, 'g': 1795, 'h': 225},\n    {'a': 7100, 'b': 8700, 'c': 3300, 'd': 10500, 'e': 5300, 'f': 10500, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 47400],\n   {'points': 5579, 'reason': None, 'salary': 47300, 'valid': True})],\n [('regression: salary cap boundary',\n   [{'CPT': 'a', 'FLEX': ['g', 'e', 'd', 'c', 'h']},\n    {'a': 0, 'b': -50, 'c': 1108, 'd': 225, 'e': 2524, 'f': 1333, 'g': 1795, 'h': -45},\n    {'a': 10500, 'b': 5300, 'c': 5300, 'd': 10500, 'e': 5500, 'f': 7100, 'g': 3300, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 45700],\n   {'points': 5607, 'reason': None, 'salary': 45700, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'a', 'FLEX': ['h', 'g', 'b', 'e', 'd']},\n    {'a': 2105, 'b': 1333, 'c': 1333, 'd': 1333, 'e': -45, 'f': -40, 'g': 1795, 'h': 2051},\n    {'a': 5300, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 7100, 'g': 10500, 'h': 5500},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 46800],\n   {'points': 9625, 'reason': 'cap', 'salary': 46900, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'b', 'FLEX': ['g', 'f', 'c', 'h', 'd']},\n    {'a': -45, 'b': -45, 'c': -45, 'd': 225, 'e': 1333, 'f': 0, 'g': 1333, 'h': 376},\n    {'a': 5500, 'b': 7100, 'c': 9900, 'd': 10500, 'e': 7100, 'f': 9900, 'g': 9900, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 54200],\n   {'points': 1821, 'reason': None, 'salary': 54200, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['f', 'h', 'b', 'c', 'e']},\n    {'a': 1795, 'b': 225, 'c': -45, 'd': 0, 'e': 2001, 'f': 225, 'g': 225, 'h': 1745},\n    {'a': 8700, 'b': 3300, 'c': 5300, 'd': 3300, 'e': 3300, 'f': 5500, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 32600],\n   {'points': 4083, 'reason': 'roster', 'salary': 32500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'c', 'FLEX': ['h', 'b', 'a', 'd', 'c']},\n    {'a': 0, 'b': 0, 'c': -45, 'd': 225, 'e': -50, 'f': 2001, 'g': 1795, 'h': 225},\n    {'a': 3300, 'b': 3300, 'c': 7100, 'd': 3300, 'e': 9900, 'f': 3300, 'g': 7100, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 34900],\n   {'points': 337, 'reason': 'roster', 'salary': 34800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['e', 'b', 'f', 'h']},\n    {'a': 225, 'b': 940, 'c': 769, 'd': 0, 'e': -50, 'f': 1795, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 8700, 'c': 10500, 'd': 5500, 'e': 10500, 'f': 10500, 'g': 3300, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 38000],\n   {'points': 6018, 'reason': 'roster', 'salary': 38000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['c', 'h', 'd', 'e', 'f']},\n    {'a': 0, 'b': 1681, 'c': -45, 'd': 0, 'e': 1333, 'f': 2001, 'g': -50, 'h': 0},\n    {'a': 3300, 'b': 3300, 'c': 9900, 'd': 9900, 'e': 5300, 'f': 9900, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 6291, 'reason': 'roster', 'salary': 57000, '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":"e26fb0ce9934fd6dd193e56277324753938729f8e8baf2e39226ccb4fb5dec41","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: salary cap boundary',\n   [{'CPT': 'f', 'FLEX': ['h', 'e', 'a', 'c', 'd']},\n    {'a': 1791, 'b': 12, 'c': 2001, 'd': 225, 'e': 1833, 'f': -45, 'g': -45, 'h': 225},\n    {'a': 9900, 'b': 3300, 'c': 8700, 'd': 9900, 'e': 8700, 'f': 7100, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 53400],\n   {'points': 6007, 'reason': None, 'salary': 53400, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'e', 'FLEX': ['c', 'd', 'f', 'g', 'h']},\n    {'a': -45, 'b': 2001, 'c': 2001, 'd': 1795, 'e': 0, 'f': 2763, 'g': 225, 'h': 1566},\n    {'a': 9900, 'b': 7100, 'c': 8700, 'd': 7100, 'e': 9900, 'f': 5500, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 8350, 'reason': 'cap', 'salary': 53800, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['c', 'a', 'd', 'g', 'b']},\n    {'a': 1795, 'b': 225, 'c': -50, 'd': 1333, 'e': 0, 'f': 2256, 'g': 1333, 'h': 2001},\n    {'a': 8700, 'b': 9900, 'c': 9900, 'd': 9900, 'e': 5500, 'f': 10500, 'g': 5300, 'h': 3300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 59500],\n   {'points': 8020, 'reason': None, 'salary': 59500, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'f', 'FLEX': ['d', 'a', 'f', 'b', 'e']},\n    {'a': 1795, 'b': 1795, 'c': -50, 'd': 2001, 'e': 0, 'f': -50, 'g': -50, 'h': -45},\n    {'a': 3300, 'b': 8700, 'c': 8700, 'd': 8700, 'e': 8700, 'f': 5500, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 5466, 'reason': 'roster', 'salary': 43200, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'c', 'FLEX': ['b', 'f', 'e', 'a', 'h']},\n    {'a': 1795, 'b': 2001, 'c': 225, 'd': -45, 'e': 2001, 'f': -45, 'g': 225, 'h': 225},\n    {'a': 9900, 'b': 10500, 'c': 5300, 'd': 5500, 'e': 8700, 'f': 5300, 'g': 5300, 'h': 8700},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51200],\n   {'points': 6315, 'reason': None, 'salary': 51100, 'valid': True}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['g', 'h', 'b', 'a', 'h']},\n    {'a': 0, 'b': -50, 'c': -50, 'd': 2590, 'e': 225, 'f': 176, 'g': 225, 'h': 0},\n    {'a': 3300, 'b': 9900, 'c': 3300, 'd': 8700, 'e': 5300, 'f': 3300, 'g': 9900, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 48100],\n   {'points': 175, 'reason': 'roster', 'salary': 48000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['e', 'a', 'b', 'c', 'g']},\n    {'a': 2001, 'b': 1333, 'c': -45, 'd': 225, 'e': -50, 'f': 1333, 'g': -45, 'h': 0},\n    {'a': 9900, 'b': 10500, 'c': 8700, 'd': 7100, 'e': 3300, 'f': 5300, 'g': 5500, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3532, 'reason': None, 'salary': 48600, 'valid': True})],\n [('regression: salary cap boundary',\n   [{'CPT': 'g', 'FLEX': ['f', 'e', 'a', 'c', 'd']},\n    {'a': 1795, 'b': 628, 'c': 2001, 'd': -50, 'e': 1333, 'f': 1333, 'g': -45, 'h': 2835},\n    {'a': 5300, 'b': 7100, 'c': 10500, 'd': 9900, 'e': 5300, 'f': 5500, 'g': 8700, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 49600],\n   {'points': 6344, 'reason': None, 'salary': 49600, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'g', 'FLEX': ['e', 'c', 'b', 'd', 'a']},\n    {'a': 2241, 'b': 1664, 'c': 2001, 'd': 225, 'e': 1795, 'f': 2184, 'g': 225, 'h': 225},\n    {'a': 5300, 'b': 9900, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 5500, 'g': 8700, 'h': 7100},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 8264, 'reason': 'cap', 'salary': 51000, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['f', 'h', 'd', 'e', 'g']},\n    {'a': 0, 'b': 2001, 'c': 0, 'd': -50, 'e': 1333, 'f': -45, 'g': 1795, 'h': 2001},\n    {'a': 8700, 'b': 10500, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 7100, 'g': 10500, 'h': 7100},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 47100],\n   {'points': 5034, 'reason': 'cap', 'salary': 47200, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'b', 'FLEX': ['d', 'f', 'b', 'h', 'g']},\n    {'a': 225, 'b': 2001, 'c': 2001, 'd': 1333, 'e': -50, 'f': 0, 'g': 2001, 'h': 1333},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 3300, 'e': 5500, 'f': 3300, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 9670, 'reason': 'roster', 'salary': 45400, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'd', 'FLEX': ['f', 'a', 'c', 'd', 'b']},\n    {'a': -45, 'b': -45, 'c': 0, 'd': -50, 'e': -94, 'f': 2001, 'g': 225, 'h': -50},\n    {'a': 7100, 'b': 5300, 'c': 3300, 'd': 3300, 'e': 3300, 'f': 7100, 'g': 5300, 'h': 10500},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 31000],\n   {'points': 1786, 'reason': 'roster', 'salary': 31100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'e', 'FLEX': ['g', 'a', 'e', 'c', 'h']},\n    {'a': -45, 'b': -50, 'c': 225, 'd': -50, 'e': 0, 'f': -50, 'g': 0, 'h': 0},\n    {'a': 5300, 'b': 9900, 'c': 5500, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 180, 'reason': 'roster', 'salary': 52900, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['e', 'c', 'f', 'd', 'b']},\n    {'a': -45, 'b': 532, 'c': 0, 'd': 2001, 'e': 0, 'f': -50, 'g': 1385, 'h': -50},\n    {'a': 9900, 'b': 5500, 'c': 8700, 'd': 3300, 'e': 7100, 'f': 9900, 'g': 8700, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 49400],\n   {'points': 2408, 'reason': 'roster', 'salary': 49400, 'valid': False})],\n [('regression: salary cap boundary',\n   [{'CPT': 'h', 'FLEX': ['c', 'd', 'a', 'e', 'f']},\n    {'a': 225, 'b': 225, 'c': 225, 'd': 2690, 'e': 0, 'f': 1333, 'g': 332, 'h': 1333},\n    {'a': 5300, 'b': 3300, 'c': 9900, 'd': 8700, 'e': 8700, 'f': 9900, 'g': 9900, 'h': 8700},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 55600],\n   {'points': 6473, 'reason': None, 'salary': 55600, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'b', 'FLEX': ['c', 'a', 'g', 'e', 'h']},\n    {'a': -45, 'b': -45, 'c': -50, 'd': -45, 'e': 325, 'f': 225, 'g': 1333, 'h': 2279},\n    {'a': 9900, 'b': 8700, 'c': 5300, 'd': 5500, 'e': 10500, 'f': 3300, 'g': 7100, 'h': 5500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 51300],\n   {'points': 3774, 'reason': 'cap', 'salary': 51400, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['a', 'g', 'd', 'f', 'b']},\n    {'a': -50, 'b': 1333, 'c': 1795, 'd': -50, 'e': -50, 'f': 0, 'g': 741, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 8700, 'd': 3300, 'e': 3300, 'f': 7100, 'g': 9900, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 48300],\n   {'points': 1899, 'reason': 'cap', 'salary': 48400, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'h', 'FLEX': ['f', 'c', 'h', 'b']},\n    {'a': 2001, 'b': 2001, 'c': -45, 'd': 439, 'e': 2001, 'f': 1333, 'g': 225, 'h': 0},\n    {'a': 10500, 'b': 9900, 'c': 9900, 'd': 3300, 'e': 9900, 'f': 8700, 'g': 5500, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'H'}, 41900],\n   {'points': 3289, 'reason': 'roster', 'salary': 41800, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['c', 'd', 'h', 'f']},\n    {'a': 2001, 'b': 1333, 'c': 1795, 'd': 1795, 'e': 0, 'f': 2915, 'g': 2001, 'h': -45},\n    {'a': 3300, 'b': 10500, 'c': 5300, 'd': 10500, 'e': 5500, 'f': 10500, 'g': 7100, 'h': 9900},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51000],\n   {'points': 6392, 'reason': 'roster', 'salary': 51100, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'c', 'FLEX': ['a', 'h', 'f', 'd', 'g']},\n    {'a': 2001, 'b': -45, 'c': 1333, 'd': 2807, 'e': 0, 'f': 1333, 'g': -45, 'h': 1333},\n    {'a': 10500, 'b': 3300, 'c': 10500, 'd': 5500, 'e': 5300, 'f': 10500, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 9429, 'reason': 'cap', 'salary': 56500, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'g', 'c', 'e']},\n    {'a': 1333, 'b': -45, 'c': -50, 'd': -45, 'e': 1333, 'f': -45, 'g': 1795, 'h': -50},\n    {'a': 5500, 'b': 5500, 'c': 10500, 'd': 9900, 'e': 5300, 'f': 7100, 'g': 3300, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 52400],\n   {'points': 2908, 'reason': 'roster', 'salary': 52500, 'valid': False})],\n [('regression: salary cap boundary',\n   [{'CPT': 'h', 'FLEX': ['a', 'c', 'e', 'd', 'f']},\n    {'a': 2001, 'b': -45, 'c': 225, 'd': 225, 'e': 1580, 'f': -50, 'g': -45, 'h': 0},\n    {'a': 3300, 'b': 7100, 'c': 8700, 'd': 8700, 'e': 10500, 'f': 5500, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 45000],\n   {'points': 3981, 'reason': 'teams', 'salary': 45000, 'valid': False}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'b', 'FLEX': ['g', 'e', 'f', 'c', 'a']},\n    {'a': 1333, 'b': -50, 'c': 225, 'd': 1333, 'e': 1333, 'f': 225, 'g': 1795, 'h': 1795},\n    {'a': 10500, 'b': 5500, 'c': 5300, 'd': 8700, 'e': 8700, 'f': 10500, 'g': 7100, 'h': 3300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 4836, 'reason': 'cap', 'salary': 50400, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'd', 'g', 'a']},\n    {'a': -45, 'b': -45, 'c': 1333, 'd': 2001, 'e': 0, 'f': 225, 'g': -45, 'h': 2001},\n    {'a': 10500, 'b': 7100, 'c': 5500, 'd': 5500, 'e': 7100, 'f': 7100, 'g': 7100, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 43700],\n   {'points': 6137, 'reason': 'cap', 'salary': 43800, 'valid': False}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['b', 'a', 'g', 'e', 'd']},\n    {'a': 1333, 'b': -50, 'c': 0, 'd': 1551, 'e': 2001, 'f': 2001, 'g': -50, 'h': 1030},\n    {'a': 10500, 'b': 9900, 'c': 5300, 'd': 5300, 'e': 8700, 'f': 5500, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 60600],\n   {'points': 4710, 'reason': 'roster', 'salary': 60700, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'f', 'FLEX': ['h', 'f', 'e', 'a', 'c']},\n    {'a': 169, 'b': 2001, 'c': 0, 'd': 1333, 'e': -45, 'f': 2001, 'g': 2001, 'h': -45},\n    {'a': 5500, 'b': 5300, 'c': 7100, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 5082, 'reason': 'roster', 'salary': 34900, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'e', 'FLEX': ['d', 'g', 'a', 'h']},\n    {'a': 0, 'b': 1020, 'c': 2001, 'd': 0, 'e': 2001, 'f': -45, 'g': -50, 'h': 225},\n    {'a': 7100, 'b': 9900, 'c': 5500, 'd': 8700, 'e': 5500, 'f': 7100, 'g': 5300, 'h': 8700},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3177, 'reason': 'roster', 'salary': 38100, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['h', 'a', 'c', 'g', 'b']},\n    {'a': 225, 'b': 2001, 'c': 1333, 'd': 0, 'e': -45, 'f': 2498, 'g': 1795, 'h': 225},\n    {'a': 7100, 'b': 8700, 'c': 3300, 'd': 10500, 'e': 5300, 'f': 10500, 'g': 5300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 47400],\n   {'points': 5579, 'reason': None, 'salary': 47300, 'valid': True})],\n [('regression: salary cap boundary',\n   [{'CPT': 'a', 'FLEX': ['g', 'e', 'd', 'c', 'h']},\n    {'a': 0, 'b': -50, 'c': 1108, 'd': 225, 'e': 2524, 'f': 1333, 'g': 1795, 'h': -45},\n    {'a': 10500, 'b': 5300, 'c': 5300, 'd': 10500, 'e': 5500, 'f': 7100, 'g': 3300, 'h': 5300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'A'}, 45700],\n   {'points': 5607, 'reason': None, 'salary': 45700, 'valid': True}),\n  ('partial repair probe: salary cap boundary',\n   [{'CPT': 'a', 'FLEX': ['h', 'g', 'b', 'e', 'd']},\n    {'a': 2105, 'b': 1333, 'c': 1333, 'd': 1333, 'e': -45, 'f': -40, 'g': 1795, 'h': 2051},\n    {'a': 5300, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 7100, 'g': 10500, 'h': 5500},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 46800],\n   {'points': 9625, 'reason': 'cap', 'salary': 46900, 'valid': False}),\n  ('second regression',\n   [{'CPT': 'b', 'FLEX': ['g', 'f', 'c', 'h', 'd']},\n    {'a': -45, 'b': -45, 'c': -45, 'd': 225, 'e': 1333, 'f': 0, 'g': 1333, 'h': 376},\n    {'a': 5500, 'b': 7100, 'c': 9900, 'd': 10500, 'e': 7100, 'f': 9900, 'g': 9900, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 54200],\n   {'points': 1821, 'reason': None, 'salary': 54200, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['f', 'h', 'b', 'c', 'e']},\n    {'a': 1795, 'b': 225, 'c': -45, 'd': 0, 'e': 2001, 'f': 225, 'g': 225, 'h': 1745},\n    {'a': 8700, 'b': 3300, 'c': 5300, 'd': 3300, 'e': 3300, 'f': 5500, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 32600],\n   {'points': 4083, 'reason': 'roster', 'salary': 32500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'c', 'FLEX': ['h', 'b', 'a', 'd', 'c']},\n    {'a': 0, 'b': 0, 'c': -45, 'd': 225, 'e': -50, 'f': 2001, 'g': 1795, 'h': 225},\n    {'a': 3300, 'b': 3300, 'c': 7100, 'd': 3300, 'e': 9900, 'f': 3300, 'g': 7100, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 34900],\n   {'points': 337, 'reason': 'roster', 'salary': 34800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'h', 'FLEX': ['e', 'b', 'f', 'h']},\n    {'a': 225, 'b': 940, 'c': 769, 'd': 0, 'e': -50, 'f': 1795, 'g': -45, 'h': 1333},\n    {'a': 5500, 'b': 8700, 'c': 10500, 'd': 5500, 'e': 10500, 'f': 10500, 'g': 3300, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'H'}, 38000],\n   {'points': 6018, 'reason': 'roster', 'salary': 38000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['c', 'h', 'd', 'e', 'f']},\n    {'a': 0, 'b': 1681, 'c': -45, 'd': 0, 'e': 1333, 'f': 2001, 'g': -50, 'h': 0},\n    {'a': 3300, 'b': 3300, 'c': 9900, 'd': 9900, 'e': 5300, 'f': 9900, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 6291, 'reason': 'roster', 'salary': 57000, '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-salary-cap-boundary","generated_at":"2026-09-29T14:50:37.010665+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.","root_cause":"The cap test uses >=, rejecting salary equal to the cap.","sha256":"adaad579906446b252fcd1bc410a41e81add61389a00292a7163a2b5ea68c009","title":"Lineup spending exactly the cap rejected · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":41.771,"exit_code":1,"observations":[{"actual":{"points":6007,"reason":null,"salary":53400,"valid":true},"check":"regression: salary cap boundary","expected":{"points":6007,"reason":null,"salary":53400,"valid":true},"passed":true},{"actual":{"points":8350,"reason":null,"salary":53800,"valid":true},"check":"partial repair probe: salary cap boundary","expected":{"points":8350,"reason":"cap","salary":53800,"valid":false},"passed":false},{"actual":{"points":8020,"reason":null,"salary":59500,"valid":true},"check":"second regression","expected":{"points":8020,"reason":null,"salary":59500,"valid":true},"passed":true},{"actual":{"points":5466,"reason":"roster","salary":43200,"valid":false},"check":"normal control 1","expected":{"points":5466,"reason":"roster","salary":43200,"valid":false},"passed":true},{"actual":{"points":6315,"reason":null,"salary":51100,"valid":true},"check":"normal control 2","expected":{"points":6315,"reason":null,"salary":51100,"valid":true},"passed":true},{"actual":{"points":175,"reason":"roster","salary":48000,"valid":false},"check":"normal control 3","expected":{"points":175,"reason":"roster","salary":48000,"valid":false},"passed":true},{"actual":{"points":3532,"reason":null,"salary":48600,"valid":true},"check":"normal control 4","expected":{"points":3532,"reason":null,"salary":48600,"valid":true},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: salary cap boundary\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 53400, \"points\": 6007}, \"expected\": {\"points\": 6007, \"reason\": null, \"salary\": 53400, \"valid\": true}, \"passed\": true}, {\"check\": \"partial repair probe: salary cap boundary\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 53800, \"points\": 8350}, \"expected\": {\"points\": 8350, \"reason\": \"cap\", \"salary\": 53800, \"valid\": false}, \"passed\": false}, {\"check\": \"second regression\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 59500, \"points\": 8020}, \"expected\": {\"points\": 8020, \"reason\": null, \"salary\": 59500, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 43200, \"points\": 5466}, \"expected\": {\"points\": 5466, \"reason\": \"roster\", \"salary\": 43200, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 51100, \"points\": 6315}, \"expected\": {\"points\": 6315, \"reason\": null, \"salary\": 51100, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 48000, \"points\": 175}, \"expected\": {\"points\": 175, \"reason\": \"roster\", \"salary\": 48000, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 48600, \"points\": 3532}, \"expected\": {\"points\": 3532, \"reason\": null, \"salary\": 48600, \"valid\": true}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":45.094,"exit_code":1,"observations":[{"actual":{"points":6007,"reason":"cap","salary":53400,"valid":false},"check":"regression: salary cap boundary","expected":{"points":6007,"reason":null,"salary":53400,"valid":true},"passed":false},{"actual":{"points":8350,"reason":"cap","salary":53800,"valid":false},"check":"partial repair probe: salary cap boundary","expected":{"points":8350,"reason":"cap","salary":53800,"valid":false},"passed":true},{"actual":{"points":8020,"reason":"cap","salary":59500,"valid":false},"check":"second regression","expected":{"points":8020,"reason":null,"salary":59500,"valid":true},"passed":false},{"actual":{"points":5466,"reason":"roster","salary":43200,"valid":false},"check":"normal control 1","expected":{"points":5466,"reason":"roster","salary":43200,"valid":false},"passed":true},{"actual":{"points":6315,"reason":null,"salary":51100,"valid":true},"check":"normal control 2","expected":{"points":6315,"reason":null,"salary":51100,"valid":true},"passed":true},{"actual":{"points":175,"reason":"roster","salary":48000,"valid":false},"check":"normal control 3","expected":{"points":175,"reason":"roster","salary":48000,"valid":false},"passed":true},{"actual":{"points":3532,"reason":null,"salary":48600,"valid":true},"check":"normal control 4","expected":{"points":3532,"reason":null,"salary":48600,"valid":true},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: salary cap boundary\", \"actual\": {\"valid\": false, \"reason\": \"cap\", \"salary\": 53400, \"points\": 6007}, \"expected\": {\"points\": 6007, \"reason\": null, \"salary\": 53400, \"valid\": true}, \"passed\": false}, {\"check\": \"partial repair probe: salary cap boundary\", \"actual\": {\"valid\": false, \"reason\": \"cap\", \"salary\": 53800, \"points\": 8350}, \"expected\": {\"points\": 8350, \"reason\": \"cap\", \"salary\": 53800, \"valid\": false}, \"passed\": true}, {\"check\": \"second regression\", \"actual\": {\"valid\": false, \"reason\": \"cap\", \"salary\": 59500, \"points\": 8020}, \"expected\": {\"points\": 8020, \"reason\": null, \"salary\": 59500, \"valid\": true}, \"passed\": false}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 43200, \"points\": 5466}, \"expected\": {\"points\": 5466, \"reason\": \"roster\", \"salary\": 43200, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 51100, \"points\": 6315}, \"expected\": {\"points\": 6315, \"reason\": null, \"salary\": 51100, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 48000, \"points\": 175}, \"expected\": {\"points\": 175, \"reason\": \"roster\", \"salary\": 48000, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 48600, \"points\": 3532}, \"expected\": {\"points\": 3532, \"reason\": null, \"salary\": 48600, \"valid\": true}, \"passed\": true}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}