{"abstract":"Five flex players from one team plus an opposing captain are rejected.","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":"Slicing the first five names omits the last flex player from the team check.","family":"w2-fantasy-sports-scoring-captain-showdown-two-team-requirement","id":"FA-85071","implementations":{"attempt":{"sha256":"98445c7d52bc1dc47042fc09a11ae03f24d01b74d40264093eb1e0e5ed6b9010","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[:5]}) < 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: two-team requirement',\n   [{'CPT': 'c', 'FLEX': ['e', 'h', 'b', 'd', 'f']},\n    {'a': 1333, 'b': 1795, 'c': -50, 'd': 723, 'e': 382, 'f': -45, 'g': 61, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 3300, 'e': 3300, 'f': 3300, 'g': 5500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 28200],\n   {'points': 2730, 'reason': None, 'salary': 28100, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'g', 'FLEX': ['b', 'a', 'e', 'c', 'd']},\n    {'a': 2001, 'b': 225, 'c': 225, 'd': 1333, 'e': 225, 'f': 225, 'g': 1795, 'h': 0},\n    {'a': 9900, 'b': 3300, 'c': 9900, 'd': 7100, 'e': 8700, 'f': 10500, 'g': 8700, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52100],\n   {'points': 6702, 'reason': None, 'salary': 52000, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'a', 'FLEX': ['g', 'd', 'e', 'f', 'h']},\n    {'a': 225, 'b': 0, 'c': 1333, 'd': 225, 'e': -50, 'f': 225, 'g': -45, 'h': 1333},\n    {'a': 8700, 'b': 5300, 'c': 5500, 'd': 5500, 'e': 8700, 'f': 5500, 'g': 7100, 'h': 7100},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 2026, 'reason': None, 'salary': 47000, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['g', 'h', 'c', 'e', 'f']},\n    {'a': 1795, 'b': 1692, 'c': -45, 'd': -50, 'e': 0, 'f': 1795, 'g': 2759, 'h': 0},\n    {'a': 9900, 'b': 9900, 'c': 5500, 'd': 10500, 'e': 3300, 'f': 9900, 'g': 9900, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 48900],\n   {'points': 8648, 'reason': 'roster', 'salary': 49000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['g', 'e', 'h', 'b', 'c']},\n    {'a': -50, 'b': 1795, 'c': 2077, 'd': -45, 'e': 225, 'f': 2001, 'g': -50, 'h': 1333},\n    {'a': 5300, 'b': 3300, 'c': 3300, 'd': 7100, 'e': 8700, 'f': 10500, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'A', 'h': 'H'}, 37400],\n   {'points': 7380, 'reason': 'roster', 'salary': 37300, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['c', 'f', 'h', 'd', 'b']},\n    {'a': 2001, 'b': -50, 'c': -45, 'd': 1795, 'e': 2001, 'f': 2426, 'g': 2173, 'h': 225},\n    {'a': 9900, 'b': 3300, 'c': 5300, 'd': 7100, 'e': 7100, 'f': 5300, 'g': 5500, 'h': 9900},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 41700],\n   {'points': 7044, 'reason': 'roster', 'salary': 41600, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'e', 'FLEX': ['c', 'a', 'f', 'b', 'd']},\n    {'a': 2001, 'b': -45, 'c': 1333, 'd': 1333, 'e': 0, 'f': 1333, 'g': 1795, 'h': 1120},\n    {'a': 3300, 'b': 9900, 'c': 7100, 'd': 5500, 'e': 9900, 'f': 7100, 'g': 8700, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 47900],\n   {'points': 5955, 'reason': None, 'salary': 47800, 'valid': True})],\n [('regression: two-team requirement',\n   [{'CPT': 'a', 'FLEX': ['d', 'f', 'b', 'c', 'h']},\n    {'a': 1333, 'b': -45, 'c': -45, 'd': 0, 'e': 225, 'f': 2001, 'g': 1795, 'h': 225},\n    {'a': 10500, 'b': 7100, 'c': 9900, 'd': 7100, 'e': 3300, 'f': 10500, 'g': 5500, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 55800],\n   {'points': 4136, 'reason': None, 'salary': 55700, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'e', 'FLEX': ['a', 'd', 'c', 'h', 'g']},\n    {'a': 1333, 'b': 225, 'c': 225, 'd': 1795, 'e': 225, 'f': 1333, 'g': -45, 'h': 225},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 10500, 'e': 7100, 'f': 8700, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3871, 'reason': None, 'salary': 45800, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'e', 'FLEX': ['g', 'b', 'a', 'd', 'c']},\n    {'a': 225, 'b': -45, 'c': 2001, 'd': 2001, 'e': -50, 'f': 0, 'g': 225, 'h': 2001},\n    {'a': 3300, 'b': 8700, 'c': 3300, 'd': 5500, 'e': 3300, 'f': 8700, 'g': 7100, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 33000],\n   {'points': 4332, 'reason': None, 'salary': 32900, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'a', 'FLEX': ['d', 'f', 'a', 'c', 'g']},\n    {'a': 2619, 'b': -45, 'c': 2001, 'd': -50, 'e': 0, 'f': 1795, 'g': 0, 'h': -45},\n    {'a': 10500, 'b': 7100, 'c': 8700, 'd': 5300, 'e': 8700, 'f': 9900, 'g': 5300, 'h': 5300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 10294, 'reason': 'roster', 'salary': 55500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'a', 'FLEX': ['h', 'e', 'c', 'b', 'a']},\n    {'a': 2001, 'b': -50, 'c': 1795, 'd': 2020, 'e': 2001, 'f': -45, 'g': 2001, 'h': 225},\n    {'a': 5500, 'b': 5500, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 9900, 'g': 3300, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 36700],\n   {'points': 8974, 'reason': 'roster', 'salary': 36600, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'a', 'FLEX': ['d', 'h', 'b', 'f', 'a']},\n    {'a': 2300, 'b': 225, 'c': -50, 'd': 114, 'e': 1333, 'f': 2849, 'g': 2001, 'h': -45},\n    {'a': 7100, 'b': 7100, 'c': 5300, 'd': 9900, 'e': 8700, 'f': 7100, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 47400],\n   {'points': 8893, 'reason': 'roster', 'salary': 47400, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['c', 'h', 'a', 'f', 'e']},\n    {'a': 225, 'b': 1795, 'c': 2001, 'd': -50, 'e': 472, 'f': 225, 'g': 1333, 'h': 225},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 5300, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 3073, 'reason': None, 'salary': 45000, 'valid': True})],\n [('regression: two-team requirement',\n   [{'CPT': 'e', 'FLEX': ['f', 'd', 'c', 'a', 'h']},\n    {'a': -50, 'b': 2001, 'c': -50, 'd': 0, 'e': -45, 'f': 2001, 'g': -45, 'h': 1333},\n    {'a': 5300, 'b': 8700, 'c': 10500, 'd': 8700, 'e': 5300, 'f': 8700, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 3166, 'reason': None, 'salary': 46700, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'd', 'FLEX': ['f', 'g', 'h', 'a', 'e']},\n    {'a': -45, 'b': -45, 'c': 2014, 'd': 1795, 'e': 1333, 'f': -50, 'g': 0, 'h': -50},\n    {'a': 5500, 'b': 5300, 'c': 7100, 'd': 3300, 'e': 7100, 'f': 5500, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 3881, 'reason': None, 'salary': 36900, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'g', 'b', 'a']},\n    {'a': -50, 'b': 821, 'c': 225, 'd': 1795, 'e': 1333, 'f': 1333, 'g': 1333, 'h': 2001},\n    {'a': 7100, 'b': 10500, 'c': 8700, 'd': 8700, 'e': 8700, 'f': 10500, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52200],\n   {'points': 5776, 'reason': None, 'salary': 52200, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['b', 'c', 'f', 'a', 'g']},\n    {'a': 1795, 'b': 0, 'c': 1795, 'd': 0, 'e': 1795, 'f': 103, 'g': -50, 'h': 1795},\n    {'a': 5300, 'b': 10500, 'c': 5300, 'd': 7100, 'e': 3300, 'f': 8700, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 46500],\n   {'points': 6336, 'reason': 'roster', 'salary': 46500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'e', 'FLEX': ['e', 'b', 'g', 'd', 'h']},\n    {'a': 1660, 'b': 0, 'c': 1684, 'd': 1228, 'e': 1795, 'f': -50, 'g': 2114, 'h': 1775},\n    {'a': 3300, 'b': 3300, 'c': 9900, 'd': 9900, 'e': 9900, 'f': 9900, 'g': 8700, 'h': 3300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50100],\n   {'points': 9605, 'reason': 'roster', 'salary': 50000, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['f', 'h', 'b', 'c', 'd']},\n    {'a': 1861, 'b': 104, 'c': 225, 'd': 1333, 'e': 2001, 'f': -45, 'g': -45, 'h': 1795},\n    {'a': 3300, 'b': 3300, 'c': 7100, 'd': 9900, 'e': 7100, 'f': 10500, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 51100],\n   {'points': 5412, 'reason': 'roster', 'salary': 51000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'h', 'FLEX': ['a', 'f', 'b', 'g', 'c']},\n    {'a': 0, 'b': 1333, 'c': 1795, 'd': 1795, 'e': 0, 'f': 2001, 'g': 225, 'h': 225},\n    {'a': 9900, 'b': 10500, 'c': 9900, 'd': 8700, 'e': 10500, 'f': 9900, 'g': 5500, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 5692, 'reason': 'cap', 'salary': 60600, 'valid': False})],\n [('regression: two-team requirement',\n   [{'CPT': 'c', 'FLEX': ['d', 'h', 'a', 'e', 'g']},\n    {'a': 1333, 'b': 225, 'c': 1333, 'd': 225, 'e': 2911, 'f': 1333, 'g': -50, 'h': 225},\n    {'a': 8700, 'b': 5500, 'c': 3300, 'd': 10500, 'e': 5500, 'f': 9900, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 6644, 'reason': None, 'salary': 48900, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'd', 'FLEX': ['e', 'f', 'a', 'b', 'h']},\n    {'a': 225, 'b': 1795, 'c': -80, 'd': 1333, 'e': 1700, 'f': 0, 'g': 2205, 'h': -50},\n    {'a': 7100, 'b': 5300, 'c': 5300, 'd': 7100, 'e': 5300, 'f': 5300, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 42500],\n   {'points': 5670, 'reason': None, 'salary': 42400, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['a', 'g', 'b', 'd', 'f']},\n    {'a': 2001, 'b': -50, 'c': -50, 'd': 1333, 'e': 1333, 'f': 225, 'g': -45, 'h': -45},\n    {'a': 9900, 'b': 8700, 'c': 7100, 'd': 7100, 'e': 5500, 'f': 9900, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 56800],\n   {'points': 3396, 'reason': None, 'salary': 56800, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'a', 'FLEX': ['g', 'h', 'a', 'd', 'f']},\n    {'a': -50, 'b': 0, 'c': 225, 'd': 2048, 'e': 0, 'f': 1951, 'g': 1333, 'h': 1795},\n    {'a': 10500, 'b': 7100, 'c': 8700, 'd': 3300, 'e': 9900, 'f': 10500, 'g': 10500, 'h': 10500},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 61200],\n   {'points': 7002, 'reason': 'roster', 'salary': 61100, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['b', 'h', 'c', 'e', 'g']},\n    {'a': -45, 'b': 2001, 'c': 225, 'd': 1333, 'e': -50, 'f': -45, 'g': -50, 'h': 2001},\n    {'a': 5500, 'b': 5500, 'c': 5300, 'd': 9900, 'e': 9900, 'f': 5500, 'g': 5300, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50800],\n   {'points': 7129, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'a', 'FLEX': ['f', 'c', 'e', 'h', 'b']},\n    {'a': -45, 'b': 2001, 'c': 2001, 'd': 0, 'e': 2001, 'f': 1795, 'g': 225, 'h': -45},\n    {'a': 9900, 'b': 5300, 'c': 9900, 'd': 7100, 'e': 9900, 'f': 8700, 'g': 10500, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 7685, 'reason': 'cap', 'salary': 59200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['b', 'f', 'a', 'h', 'c']},\n    {'a': 1333, 'b': 2001, 'c': 1886, 'd': 1795, 'e': 1390, 'f': 225, 'g': 0, 'h': 225},\n    {'a': 10500, 'b': 5300, 'c': 5500, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 7100, 'h': 7100},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 36600],\n   {'points': 6008, 'reason': 'roster', 'salary': 36700, 'valid': False})],\n [('regression: two-team requirement',\n   [{'CPT': 'b', 'FLEX': ['h', 'd', 'a', 'g', 'c']},\n    {'a': 1652, 'b': 0, 'c': 2001, 'd': 2001, 'e': -50, 'f': 2001, 'g': 0, 'h': -45},\n    {'a': 5300, 'b': 8700, 'c': 10500, 'd': 8700, 'e': 5500, 'f': 8700, 'g': 10500, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 53700],\n   {'points': 5609, 'reason': None, 'salary': 53600, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'g', 'FLEX': ['b', 'd', 'f', 'c', 'h']},\n    {'a': 1840, 'b': 1333, 'c': 2671, 'd': -50, 'e': -50, 'f': 2001, 'g': -45, 'h': -45},\n    {'a': 7100, 'b': 3300, 'c': 5500, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 8700, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 5842, 'reason': None, 'salary': 50000, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['a', 'g', 'd', 'e', 'c']},\n    {'a': -45, 'b': -50, 'c': 2612, 'd': 225, 'e': 0, 'f': 1333, 'g': -50, 'h': -45},\n    {'a': 5500, 'b': 5300, 'c': 10500, 'd': 8700, 'e': 5500, 'f': 10500, 'g': 7100, 'h': 10500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 53100],\n   {'points': 4742, 'reason': None, 'salary': 53100, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['b', 'a', 'd', 'h', 'f']},\n    {'a': -50, 'b': 267, 'c': 2001, 'd': 2001, 'e': 225, 'f': -45, 'g': -50, 'h': 0},\n    {'a': 7100, 'b': 9900, 'c': 9900, 'd': 8700, 'e': 9900, 'f': 5500, 'g': 9900, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51400],\n   {'points': 5175, 'reason': None, 'salary': 51400, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'b', 'FLEX': ['g', 'e', 'b', 'h', 'c']},\n    {'a': 0, 'b': 1333, 'c': 1333, 'd': 2912, 'e': 1333, 'f': 225, 'g': 0, 'h': -50},\n    {'a': 5500, 'b': 8700, 'c': 9900, 'd': 5300, 'e': 7100, 'f': 3300, 'g': 5300, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 47400],\n   {'points': 5949, 'reason': 'roster', 'salary': 47400, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'b', 'FLEX': ['a', 'e', 'c', 'h', 'f']},\n    {'a': 2001, 'b': 1795, 'c': 582, 'd': 1795, 'e': -45, 'f': -45, 'g': -45, 'h': 215},\n    {'a': 3300, 'b': 7100, 'c': 9900, 'd': 5300, 'e': 10500, 'f': 7100, 'g': 7100, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 52000],\n   {'points': 5401, 'reason': None, 'salary': 52000, 'valid': True}),\n  ('normal control 4',\n   [{'CPT': 'b', 'FLEX': ['a', 'g', 'e', 'h', 'c']},\n    {'a': 1795, 'b': 2582, 'c': 1795, 'd': -45, 'e': -50, 'f': 2001, 'g': 225, 'h': -45},\n    {'a': 7100, 'b': 5300, 'c': 7100, 'd': 7100, 'e': 7100, 'f': 10500, 'g': 5300, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 44400],\n   {'points': 7593, 'reason': 'cap', 'salary': 44500, '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":"87569006199d1faabccd2595c970dc88b0f2a97d36f42a1d08e3442a0bd16989","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 flex}) < 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: two-team requirement',\n   [{'CPT': 'c', 'FLEX': ['e', 'h', 'b', 'd', 'f']},\n    {'a': 1333, 'b': 1795, 'c': -50, 'd': 723, 'e': 382, 'f': -45, 'g': 61, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 3300, 'e': 3300, 'f': 3300, 'g': 5500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 28200],\n   {'points': 2730, 'reason': None, 'salary': 28100, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'g', 'FLEX': ['b', 'a', 'e', 'c', 'd']},\n    {'a': 2001, 'b': 225, 'c': 225, 'd': 1333, 'e': 225, 'f': 225, 'g': 1795, 'h': 0},\n    {'a': 9900, 'b': 3300, 'c': 9900, 'd': 7100, 'e': 8700, 'f': 10500, 'g': 8700, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52100],\n   {'points': 6702, 'reason': None, 'salary': 52000, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'a', 'FLEX': ['g', 'd', 'e', 'f', 'h']},\n    {'a': 225, 'b': 0, 'c': 1333, 'd': 225, 'e': -50, 'f': 225, 'g': -45, 'h': 1333},\n    {'a': 8700, 'b': 5300, 'c': 5500, 'd': 5500, 'e': 8700, 'f': 5500, 'g': 7100, 'h': 7100},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 2026, 'reason': None, 'salary': 47000, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['g', 'h', 'c', 'e', 'f']},\n    {'a': 1795, 'b': 1692, 'c': -45, 'd': -50, 'e': 0, 'f': 1795, 'g': 2759, 'h': 0},\n    {'a': 9900, 'b': 9900, 'c': 5500, 'd': 10500, 'e': 3300, 'f': 9900, 'g': 9900, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 48900],\n   {'points': 8648, 'reason': 'roster', 'salary': 49000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['g', 'e', 'h', 'b', 'c']},\n    {'a': -50, 'b': 1795, 'c': 2077, 'd': -45, 'e': 225, 'f': 2001, 'g': -50, 'h': 1333},\n    {'a': 5300, 'b': 3300, 'c': 3300, 'd': 7100, 'e': 8700, 'f': 10500, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'A', 'h': 'H'}, 37400],\n   {'points': 7380, 'reason': 'roster', 'salary': 37300, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['c', 'f', 'h', 'd', 'b']},\n    {'a': 2001, 'b': -50, 'c': -45, 'd': 1795, 'e': 2001, 'f': 2426, 'g': 2173, 'h': 225},\n    {'a': 9900, 'b': 3300, 'c': 5300, 'd': 7100, 'e': 7100, 'f': 5300, 'g': 5500, 'h': 9900},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 41700],\n   {'points': 7044, 'reason': 'roster', 'salary': 41600, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'e', 'FLEX': ['c', 'a', 'f', 'b', 'd']},\n    {'a': 2001, 'b': -45, 'c': 1333, 'd': 1333, 'e': 0, 'f': 1333, 'g': 1795, 'h': 1120},\n    {'a': 3300, 'b': 9900, 'c': 7100, 'd': 5500, 'e': 9900, 'f': 7100, 'g': 8700, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 47900],\n   {'points': 5955, 'reason': None, 'salary': 47800, 'valid': True})],\n [('regression: two-team requirement',\n   [{'CPT': 'a', 'FLEX': ['d', 'f', 'b', 'c', 'h']},\n    {'a': 1333, 'b': -45, 'c': -45, 'd': 0, 'e': 225, 'f': 2001, 'g': 1795, 'h': 225},\n    {'a': 10500, 'b': 7100, 'c': 9900, 'd': 7100, 'e': 3300, 'f': 10500, 'g': 5500, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 55800],\n   {'points': 4136, 'reason': None, 'salary': 55700, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'e', 'FLEX': ['a', 'd', 'c', 'h', 'g']},\n    {'a': 1333, 'b': 225, 'c': 225, 'd': 1795, 'e': 225, 'f': 1333, 'g': -45, 'h': 225},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 10500, 'e': 7100, 'f': 8700, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3871, 'reason': None, 'salary': 45800, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'e', 'FLEX': ['g', 'b', 'a', 'd', 'c']},\n    {'a': 225, 'b': -45, 'c': 2001, 'd': 2001, 'e': -50, 'f': 0, 'g': 225, 'h': 2001},\n    {'a': 3300, 'b': 8700, 'c': 3300, 'd': 5500, 'e': 3300, 'f': 8700, 'g': 7100, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 33000],\n   {'points': 4332, 'reason': None, 'salary': 32900, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'a', 'FLEX': ['d', 'f', 'a', 'c', 'g']},\n    {'a': 2619, 'b': -45, 'c': 2001, 'd': -50, 'e': 0, 'f': 1795, 'g': 0, 'h': -45},\n    {'a': 10500, 'b': 7100, 'c': 8700, 'd': 5300, 'e': 8700, 'f': 9900, 'g': 5300, 'h': 5300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 10294, 'reason': 'roster', 'salary': 55500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'a', 'FLEX': ['h', 'e', 'c', 'b', 'a']},\n    {'a': 2001, 'b': -50, 'c': 1795, 'd': 2020, 'e': 2001, 'f': -45, 'g': 2001, 'h': 225},\n    {'a': 5500, 'b': 5500, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 9900, 'g': 3300, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 36700],\n   {'points': 8974, 'reason': 'roster', 'salary': 36600, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'a', 'FLEX': ['d', 'h', 'b', 'f', 'a']},\n    {'a': 2300, 'b': 225, 'c': -50, 'd': 114, 'e': 1333, 'f': 2849, 'g': 2001, 'h': -45},\n    {'a': 7100, 'b': 7100, 'c': 5300, 'd': 9900, 'e': 8700, 'f': 7100, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 47400],\n   {'points': 8893, 'reason': 'roster', 'salary': 47400, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['c', 'h', 'a', 'f', 'e']},\n    {'a': 225, 'b': 1795, 'c': 2001, 'd': -50, 'e': 472, 'f': 225, 'g': 1333, 'h': 225},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 5300, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 3073, 'reason': None, 'salary': 45000, 'valid': True})],\n [('regression: two-team requirement',\n   [{'CPT': 'e', 'FLEX': ['f', 'd', 'c', 'a', 'h']},\n    {'a': -50, 'b': 2001, 'c': -50, 'd': 0, 'e': -45, 'f': 2001, 'g': -45, 'h': 1333},\n    {'a': 5300, 'b': 8700, 'c': 10500, 'd': 8700, 'e': 5300, 'f': 8700, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 3166, 'reason': None, 'salary': 46700, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'd', 'FLEX': ['f', 'g', 'h', 'a', 'e']},\n    {'a': -45, 'b': -45, 'c': 2014, 'd': 1795, 'e': 1333, 'f': -50, 'g': 0, 'h': -50},\n    {'a': 5500, 'b': 5300, 'c': 7100, 'd': 3300, 'e': 7100, 'f': 5500, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 3881, 'reason': None, 'salary': 36900, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'g', 'b', 'a']},\n    {'a': -50, 'b': 821, 'c': 225, 'd': 1795, 'e': 1333, 'f': 1333, 'g': 1333, 'h': 2001},\n    {'a': 7100, 'b': 10500, 'c': 8700, 'd': 8700, 'e': 8700, 'f': 10500, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52200],\n   {'points': 5776, 'reason': None, 'salary': 52200, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['b', 'c', 'f', 'a', 'g']},\n    {'a': 1795, 'b': 0, 'c': 1795, 'd': 0, 'e': 1795, 'f': 103, 'g': -50, 'h': 1795},\n    {'a': 5300, 'b': 10500, 'c': 5300, 'd': 7100, 'e': 3300, 'f': 8700, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 46500],\n   {'points': 6336, 'reason': 'roster', 'salary': 46500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'e', 'FLEX': ['e', 'b', 'g', 'd', 'h']},\n    {'a': 1660, 'b': 0, 'c': 1684, 'd': 1228, 'e': 1795, 'f': -50, 'g': 2114, 'h': 1775},\n    {'a': 3300, 'b': 3300, 'c': 9900, 'd': 9900, 'e': 9900, 'f': 9900, 'g': 8700, 'h': 3300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50100],\n   {'points': 9605, 'reason': 'roster', 'salary': 50000, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['f', 'h', 'b', 'c', 'd']},\n    {'a': 1861, 'b': 104, 'c': 225, 'd': 1333, 'e': 2001, 'f': -45, 'g': -45, 'h': 1795},\n    {'a': 3300, 'b': 3300, 'c': 7100, 'd': 9900, 'e': 7100, 'f': 10500, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 51100],\n   {'points': 5412, 'reason': 'roster', 'salary': 51000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'h', 'FLEX': ['a', 'f', 'b', 'g', 'c']},\n    {'a': 0, 'b': 1333, 'c': 1795, 'd': 1795, 'e': 0, 'f': 2001, 'g': 225, 'h': 225},\n    {'a': 9900, 'b': 10500, 'c': 9900, 'd': 8700, 'e': 10500, 'f': 9900, 'g': 5500, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 5692, 'reason': 'cap', 'salary': 60600, 'valid': False})],\n [('regression: two-team requirement',\n   [{'CPT': 'c', 'FLEX': ['d', 'h', 'a', 'e', 'g']},\n    {'a': 1333, 'b': 225, 'c': 1333, 'd': 225, 'e': 2911, 'f': 1333, 'g': -50, 'h': 225},\n    {'a': 8700, 'b': 5500, 'c': 3300, 'd': 10500, 'e': 5500, 'f': 9900, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 6644, 'reason': None, 'salary': 48900, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'd', 'FLEX': ['e', 'f', 'a', 'b', 'h']},\n    {'a': 225, 'b': 1795, 'c': -80, 'd': 1333, 'e': 1700, 'f': 0, 'g': 2205, 'h': -50},\n    {'a': 7100, 'b': 5300, 'c': 5300, 'd': 7100, 'e': 5300, 'f': 5300, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 42500],\n   {'points': 5670, 'reason': None, 'salary': 42400, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['a', 'g', 'b', 'd', 'f']},\n    {'a': 2001, 'b': -50, 'c': -50, 'd': 1333, 'e': 1333, 'f': 225, 'g': -45, 'h': -45},\n    {'a': 9900, 'b': 8700, 'c': 7100, 'd': 7100, 'e': 5500, 'f': 9900, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 56800],\n   {'points': 3396, 'reason': None, 'salary': 56800, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'a', 'FLEX': ['g', 'h', 'a', 'd', 'f']},\n    {'a': -50, 'b': 0, 'c': 225, 'd': 2048, 'e': 0, 'f': 1951, 'g': 1333, 'h': 1795},\n    {'a': 10500, 'b': 7100, 'c': 8700, 'd': 3300, 'e': 9900, 'f': 10500, 'g': 10500, 'h': 10500},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 61200],\n   {'points': 7002, 'reason': 'roster', 'salary': 61100, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['b', 'h', 'c', 'e', 'g']},\n    {'a': -45, 'b': 2001, 'c': 225, 'd': 1333, 'e': -50, 'f': -45, 'g': -50, 'h': 2001},\n    {'a': 5500, 'b': 5500, 'c': 5300, 'd': 9900, 'e': 9900, 'f': 5500, 'g': 5300, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50800],\n   {'points': 7129, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'a', 'FLEX': ['f', 'c', 'e', 'h', 'b']},\n    {'a': -45, 'b': 2001, 'c': 2001, 'd': 0, 'e': 2001, 'f': 1795, 'g': 225, 'h': -45},\n    {'a': 9900, 'b': 5300, 'c': 9900, 'd': 7100, 'e': 9900, 'f': 8700, 'g': 10500, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 7685, 'reason': 'cap', 'salary': 59200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['b', 'f', 'a', 'h', 'c']},\n    {'a': 1333, 'b': 2001, 'c': 1886, 'd': 1795, 'e': 1390, 'f': 225, 'g': 0, 'h': 225},\n    {'a': 10500, 'b': 5300, 'c': 5500, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 7100, 'h': 7100},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 36600],\n   {'points': 6008, 'reason': 'roster', 'salary': 36700, 'valid': False})],\n [('regression: two-team requirement',\n   [{'CPT': 'b', 'FLEX': ['h', 'd', 'a', 'g', 'c']},\n    {'a': 1652, 'b': 0, 'c': 2001, 'd': 2001, 'e': -50, 'f': 2001, 'g': 0, 'h': -45},\n    {'a': 5300, 'b': 8700, 'c': 10500, 'd': 8700, 'e': 5500, 'f': 8700, 'g': 10500, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 53700],\n   {'points': 5609, 'reason': None, 'salary': 53600, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'g', 'FLEX': ['b', 'd', 'f', 'c', 'h']},\n    {'a': 1840, 'b': 1333, 'c': 2671, 'd': -50, 'e': -50, 'f': 2001, 'g': -45, 'h': -45},\n    {'a': 7100, 'b': 3300, 'c': 5500, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 8700, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 5842, 'reason': None, 'salary': 50000, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['a', 'g', 'd', 'e', 'c']},\n    {'a': -45, 'b': -50, 'c': 2612, 'd': 225, 'e': 0, 'f': 1333, 'g': -50, 'h': -45},\n    {'a': 5500, 'b': 5300, 'c': 10500, 'd': 8700, 'e': 5500, 'f': 10500, 'g': 7100, 'h': 10500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 53100],\n   {'points': 4742, 'reason': None, 'salary': 53100, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['b', 'a', 'd', 'h', 'f']},\n    {'a': -50, 'b': 267, 'c': 2001, 'd': 2001, 'e': 225, 'f': -45, 'g': -50, 'h': 0},\n    {'a': 7100, 'b': 9900, 'c': 9900, 'd': 8700, 'e': 9900, 'f': 5500, 'g': 9900, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51400],\n   {'points': 5175, 'reason': None, 'salary': 51400, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'b', 'FLEX': ['g', 'e', 'b', 'h', 'c']},\n    {'a': 0, 'b': 1333, 'c': 1333, 'd': 2912, 'e': 1333, 'f': 225, 'g': 0, 'h': -50},\n    {'a': 5500, 'b': 8700, 'c': 9900, 'd': 5300, 'e': 7100, 'f': 3300, 'g': 5300, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 47400],\n   {'points': 5949, 'reason': 'roster', 'salary': 47400, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'b', 'FLEX': ['a', 'e', 'c', 'h', 'f']},\n    {'a': 2001, 'b': 1795, 'c': 582, 'd': 1795, 'e': -45, 'f': -45, 'g': -45, 'h': 215},\n    {'a': 3300, 'b': 7100, 'c': 9900, 'd': 5300, 'e': 10500, 'f': 7100, 'g': 7100, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 52000],\n   {'points': 5401, 'reason': None, 'salary': 52000, 'valid': True}),\n  ('normal control 4',\n   [{'CPT': 'b', 'FLEX': ['a', 'g', 'e', 'h', 'c']},\n    {'a': 1795, 'b': 2582, 'c': 1795, 'd': -45, 'e': -50, 'f': 2001, 'g': 225, 'h': -45},\n    {'a': 7100, 'b': 5300, 'c': 7100, 'd': 7100, 'e': 7100, 'f': 10500, 'g': 5300, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 44400],\n   {'points': 7593, 'reason': 'cap', 'salary': 44500, '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":"a4a079b969bfada5bf3db0dc4fe29d9c88c6671d779e3da97bd3edaed711ed59","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: two-team requirement',\n   [{'CPT': 'c', 'FLEX': ['e', 'h', 'b', 'd', 'f']},\n    {'a': 1333, 'b': 1795, 'c': -50, 'd': 723, 'e': 382, 'f': -45, 'g': 61, 'h': -50},\n    {'a': 9900, 'b': 9900, 'c': 3300, 'd': 3300, 'e': 3300, 'f': 3300, 'g': 5500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 28200],\n   {'points': 2730, 'reason': None, 'salary': 28100, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'g', 'FLEX': ['b', 'a', 'e', 'c', 'd']},\n    {'a': 2001, 'b': 225, 'c': 225, 'd': 1333, 'e': 225, 'f': 225, 'g': 1795, 'h': 0},\n    {'a': 9900, 'b': 3300, 'c': 9900, 'd': 7100, 'e': 8700, 'f': 10500, 'g': 8700, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52100],\n   {'points': 6702, 'reason': None, 'salary': 52000, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'a', 'FLEX': ['g', 'd', 'e', 'f', 'h']},\n    {'a': 225, 'b': 0, 'c': 1333, 'd': 225, 'e': -50, 'f': 225, 'g': -45, 'h': 1333},\n    {'a': 8700, 'b': 5300, 'c': 5500, 'd': 5500, 'e': 8700, 'f': 5500, 'g': 7100, 'h': 7100},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 2026, 'reason': None, 'salary': 47000, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'g', 'FLEX': ['g', 'h', 'c', 'e', 'f']},\n    {'a': 1795, 'b': 1692, 'c': -45, 'd': -50, 'e': 0, 'f': 1795, 'g': 2759, 'h': 0},\n    {'a': 9900, 'b': 9900, 'c': 5500, 'd': 10500, 'e': 3300, 'f': 9900, 'g': 9900, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 48900],\n   {'points': 8648, 'reason': 'roster', 'salary': 49000, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['g', 'e', 'h', 'b', 'c']},\n    {'a': -50, 'b': 1795, 'c': 2077, 'd': -45, 'e': 225, 'f': 2001, 'g': -50, 'h': 1333},\n    {'a': 5300, 'b': 3300, 'c': 3300, 'd': 7100, 'e': 8700, 'f': 10500, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'A', 'h': 'H'}, 37400],\n   {'points': 7380, 'reason': 'roster', 'salary': 37300, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['c', 'f', 'h', 'd', 'b']},\n    {'a': 2001, 'b': -50, 'c': -45, 'd': 1795, 'e': 2001, 'f': 2426, 'g': 2173, 'h': 225},\n    {'a': 9900, 'b': 3300, 'c': 5300, 'd': 7100, 'e': 7100, 'f': 5300, 'g': 5500, 'h': 9900},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 41700],\n   {'points': 7044, 'reason': 'roster', 'salary': 41600, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'e', 'FLEX': ['c', 'a', 'f', 'b', 'd']},\n    {'a': 2001, 'b': -45, 'c': 1333, 'd': 1333, 'e': 0, 'f': 1333, 'g': 1795, 'h': 1120},\n    {'a': 3300, 'b': 9900, 'c': 7100, 'd': 5500, 'e': 9900, 'f': 7100, 'g': 8700, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 47900],\n   {'points': 5955, 'reason': None, 'salary': 47800, 'valid': True})],\n [('regression: two-team requirement',\n   [{'CPT': 'a', 'FLEX': ['d', 'f', 'b', 'c', 'h']},\n    {'a': 1333, 'b': -45, 'c': -45, 'd': 0, 'e': 225, 'f': 2001, 'g': 1795, 'h': 225},\n    {'a': 10500, 'b': 7100, 'c': 9900, 'd': 7100, 'e': 3300, 'f': 10500, 'g': 5500, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 55800],\n   {'points': 4136, 'reason': None, 'salary': 55700, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'e', 'FLEX': ['a', 'd', 'c', 'h', 'g']},\n    {'a': 1333, 'b': 225, 'c': 225, 'd': 1795, 'e': 225, 'f': 1333, 'g': -45, 'h': 225},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 10500, 'e': 7100, 'f': 8700, 'g': 3300, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 50000],\n   {'points': 3871, 'reason': None, 'salary': 45800, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'e', 'FLEX': ['g', 'b', 'a', 'd', 'c']},\n    {'a': 225, 'b': -45, 'c': 2001, 'd': 2001, 'e': -50, 'f': 0, 'g': 225, 'h': 2001},\n    {'a': 3300, 'b': 8700, 'c': 3300, 'd': 5500, 'e': 3300, 'f': 8700, 'g': 7100, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 33000],\n   {'points': 4332, 'reason': None, 'salary': 32900, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'a', 'FLEX': ['d', 'f', 'a', 'c', 'g']},\n    {'a': 2619, 'b': -45, 'c': 2001, 'd': -50, 'e': 0, 'f': 1795, 'g': 0, 'h': -45},\n    {'a': 10500, 'b': 7100, 'c': 8700, 'd': 5300, 'e': 8700, 'f': 9900, 'g': 5300, 'h': 5300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 10294, 'reason': 'roster', 'salary': 55500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'a', 'FLEX': ['h', 'e', 'c', 'b', 'a']},\n    {'a': 2001, 'b': -50, 'c': 1795, 'd': 2020, 'e': 2001, 'f': -45, 'g': 2001, 'h': 225},\n    {'a': 5500, 'b': 5500, 'c': 8700, 'd': 8700, 'e': 5300, 'f': 9900, 'g': 3300, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 36700],\n   {'points': 8974, 'reason': 'roster', 'salary': 36600, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'a', 'FLEX': ['d', 'h', 'b', 'f', 'a']},\n    {'a': 2300, 'b': 225, 'c': -50, 'd': 114, 'e': 1333, 'f': 2849, 'g': 2001, 'h': -45},\n    {'a': 7100, 'b': 7100, 'c': 5300, 'd': 9900, 'e': 8700, 'f': 7100, 'g': 5300, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 47400],\n   {'points': 8893, 'reason': 'roster', 'salary': 47400, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'd', 'FLEX': ['c', 'h', 'a', 'f', 'e']},\n    {'a': 225, 'b': 1795, 'c': 2001, 'd': -50, 'e': 472, 'f': 225, 'g': 1333, 'h': 225},\n    {'a': 7100, 'b': 7100, 'c': 7100, 'd': 8700, 'e': 7100, 'f': 5300, 'g': 10500, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 3073, 'reason': None, 'salary': 45000, 'valid': True})],\n [('regression: two-team requirement',\n   [{'CPT': 'e', 'FLEX': ['f', 'd', 'c', 'a', 'h']},\n    {'a': -50, 'b': 2001, 'c': -50, 'd': 0, 'e': -45, 'f': 2001, 'g': -45, 'h': 1333},\n    {'a': 5300, 'b': 8700, 'c': 10500, 'd': 8700, 'e': 5300, 'f': 8700, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 3166, 'reason': None, 'salary': 46700, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'd', 'FLEX': ['f', 'g', 'h', 'a', 'e']},\n    {'a': -45, 'b': -45, 'c': 2014, 'd': 1795, 'e': 1333, 'f': -50, 'g': 0, 'h': -50},\n    {'a': 5500, 'b': 5300, 'c': 7100, 'd': 3300, 'e': 7100, 'f': 5500, 'g': 10500, 'h': 3300},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 3881, 'reason': None, 'salary': 36900, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'c', 'FLEX': ['h', 'f', 'g', 'b', 'a']},\n    {'a': -50, 'b': 821, 'c': 225, 'd': 1795, 'e': 1333, 'f': 1333, 'g': 1333, 'h': 2001},\n    {'a': 7100, 'b': 10500, 'c': 8700, 'd': 8700, 'e': 8700, 'f': 10500, 'g': 5500, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 52200],\n   {'points': 5776, 'reason': None, 'salary': 52200, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['b', 'c', 'f', 'a', 'g']},\n    {'a': 1795, 'b': 0, 'c': 1795, 'd': 0, 'e': 1795, 'f': 103, 'g': -50, 'h': 1795},\n    {'a': 5300, 'b': 10500, 'c': 5300, 'd': 7100, 'e': 3300, 'f': 8700, 'g': 8700, 'h': 5500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 46500],\n   {'points': 6336, 'reason': 'roster', 'salary': 46500, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'e', 'FLEX': ['e', 'b', 'g', 'd', 'h']},\n    {'a': 1660, 'b': 0, 'c': 1684, 'd': 1228, 'e': 1795, 'f': -50, 'g': 2114, 'h': 1775},\n    {'a': 3300, 'b': 3300, 'c': 9900, 'd': 9900, 'e': 9900, 'f': 9900, 'g': 8700, 'h': 3300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50100],\n   {'points': 9605, 'reason': 'roster', 'salary': 50000, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'd', 'FLEX': ['f', 'h', 'b', 'c', 'd']},\n    {'a': 1861, 'b': 104, 'c': 225, 'd': 1333, 'e': 2001, 'f': -45, 'g': -45, 'h': 1795},\n    {'a': 3300, 'b': 3300, 'c': 7100, 'd': 9900, 'e': 7100, 'f': 10500, 'g': 8700, 'h': 5300},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'H'}, 51100],\n   {'points': 5412, 'reason': 'roster', 'salary': 51000, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'h', 'FLEX': ['a', 'f', 'b', 'g', 'c']},\n    {'a': 0, 'b': 1333, 'c': 1795, 'd': 1795, 'e': 0, 'f': 2001, 'g': 225, 'h': 225},\n    {'a': 9900, 'b': 10500, 'c': 9900, 'd': 8700, 'e': 10500, 'f': 9900, 'g': 5500, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 50000],\n   {'points': 5692, 'reason': 'cap', 'salary': 60600, 'valid': False})],\n [('regression: two-team requirement',\n   [{'CPT': 'c', 'FLEX': ['d', 'h', 'a', 'e', 'g']},\n    {'a': 1333, 'b': 225, 'c': 1333, 'd': 225, 'e': 2911, 'f': 1333, 'g': -50, 'h': 225},\n    {'a': 8700, 'b': 5500, 'c': 3300, 'd': 10500, 'e': 5500, 'f': 9900, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50000],\n   {'points': 6644, 'reason': None, 'salary': 48900, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'd', 'FLEX': ['e', 'f', 'a', 'b', 'h']},\n    {'a': 225, 'b': 1795, 'c': -80, 'd': 1333, 'e': 1700, 'f': 0, 'g': 2205, 'h': -50},\n    {'a': 7100, 'b': 5300, 'c': 5300, 'd': 7100, 'e': 5300, 'f': 5300, 'g': 10500, 'h': 8700},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'A', 'h': 'A'}, 42500],\n   {'points': 5670, 'reason': None, 'salary': 42400, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'h', 'FLEX': ['a', 'g', 'b', 'd', 'f']},\n    {'a': 2001, 'b': -50, 'c': -50, 'd': 1333, 'e': 1333, 'f': 225, 'g': -45, 'h': -45},\n    {'a': 9900, 'b': 8700, 'c': 7100, 'd': 7100, 'e': 5500, 'f': 9900, 'g': 10500, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 56800],\n   {'points': 3396, 'reason': None, 'salary': 56800, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'a', 'FLEX': ['g', 'h', 'a', 'd', 'f']},\n    {'a': -50, 'b': 0, 'c': 225, 'd': 2048, 'e': 0, 'f': 1951, 'g': 1333, 'h': 1795},\n    {'a': 10500, 'b': 7100, 'c': 8700, 'd': 3300, 'e': 9900, 'f': 10500, 'g': 10500, 'h': 10500},\n    {'a': 'H', 'b': 'A', 'c': 'A', 'd': 'H', 'e': 'A', 'f': 'H', 'g': 'H', 'h': 'A'}, 61200],\n   {'points': 7002, 'reason': 'roster', 'salary': 61100, 'valid': False}),\n  ('normal control 2',\n   [{'CPT': 'h', 'FLEX': ['b', 'h', 'c', 'e', 'g']},\n    {'a': -45, 'b': 2001, 'c': 225, 'd': 1333, 'e': -50, 'f': -45, 'g': -50, 'h': 2001},\n    {'a': 5500, 'b': 5500, 'c': 5300, 'd': 9900, 'e': 9900, 'f': 5500, 'g': 5300, 'h': 9900},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 50800],\n   {'points': 7129, 'reason': 'roster', 'salary': 50800, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'a', 'FLEX': ['f', 'c', 'e', 'h', 'b']},\n    {'a': -45, 'b': 2001, 'c': 2001, 'd': 0, 'e': 2001, 'f': 1795, 'g': 225, 'h': -45},\n    {'a': 9900, 'b': 5300, 'c': 9900, 'd': 7100, 'e': 9900, 'f': 8700, 'g': 10500, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'A', 'd': 'A', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 7685, 'reason': 'cap', 'salary': 59200, 'valid': False}),\n  ('normal control 4',\n   [{'CPT': 'f', 'FLEX': ['b', 'f', 'a', 'h', 'c']},\n    {'a': 1333, 'b': 2001, 'c': 1886, 'd': 1795, 'e': 1390, 'f': 225, 'g': 0, 'h': 225},\n    {'a': 10500, 'b': 5300, 'c': 5500, 'd': 8700, 'e': 8700, 'f': 3300, 'g': 7100, 'h': 7100},\n    {'a': 'A', 'b': 'H', 'c': 'A', 'd': 'H', 'e': 'H', 'f': 'A', 'g': 'H', 'h': 'A'}, 36600],\n   {'points': 6008, 'reason': 'roster', 'salary': 36700, 'valid': False})],\n [('regression: two-team requirement',\n   [{'CPT': 'b', 'FLEX': ['h', 'd', 'a', 'g', 'c']},\n    {'a': 1652, 'b': 0, 'c': 2001, 'd': 2001, 'e': -50, 'f': 2001, 'g': 0, 'h': -45},\n    {'a': 5300, 'b': 8700, 'c': 10500, 'd': 8700, 'e': 5500, 'f': 8700, 'g': 10500, 'h': 5500},\n    {'a': 'H', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 53700],\n   {'points': 5609, 'reason': None, 'salary': 53600, 'valid': True}),\n  ('partial repair probe: two-team requirement',\n   [{'CPT': 'g', 'FLEX': ['b', 'd', 'f', 'c', 'h']},\n    {'a': 1840, 'b': 1333, 'c': 2671, 'd': -50, 'e': -50, 'f': 2001, 'g': -45, 'h': -45},\n    {'a': 7100, 'b': 3300, 'c': 5500, 'd': 10500, 'e': 10500, 'f': 10500, 'g': 8700, 'h': 7100},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'A'}, 50000],\n   {'points': 5842, 'reason': None, 'salary': 50000, 'valid': True}),\n  ('second regression',\n   [{'CPT': 'f', 'FLEX': ['a', 'g', 'd', 'e', 'c']},\n    {'a': -45, 'b': -50, 'c': 2612, 'd': 225, 'e': 0, 'f': 1333, 'g': -50, 'h': -45},\n    {'a': 5500, 'b': 5300, 'c': 10500, 'd': 8700, 'e': 5500, 'f': 10500, 'g': 7100, 'h': 10500},\n    {'a': 'A', 'b': 'A', 'c': 'A', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 53100],\n   {'points': 4742, 'reason': None, 'salary': 53100, 'valid': True}),\n  ('normal control 1',\n   [{'CPT': 'c', 'FLEX': ['b', 'a', 'd', 'h', 'f']},\n    {'a': -50, 'b': 267, 'c': 2001, 'd': 2001, 'e': 225, 'f': -45, 'g': -50, 'h': 0},\n    {'a': 7100, 'b': 9900, 'c': 9900, 'd': 8700, 'e': 9900, 'f': 5500, 'g': 9900, 'h': 5300},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 51400],\n   {'points': 5175, 'reason': None, 'salary': 51400, 'valid': True}),\n  ('normal control 2',\n   [{'CPT': 'b', 'FLEX': ['g', 'e', 'b', 'h', 'c']},\n    {'a': 0, 'b': 1333, 'c': 1333, 'd': 2912, 'e': 1333, 'f': 225, 'g': 0, 'h': -50},\n    {'a': 5500, 'b': 8700, 'c': 9900, 'd': 5300, 'e': 7100, 'f': 3300, 'g': 5300, 'h': 3300},\n    {'a': 'A', 'b': 'A', 'c': 'H', 'd': 'H', 'e': 'A', 'f': 'A', 'g': 'H', 'h': 'H'}, 47400],\n   {'points': 5949, 'reason': 'roster', 'salary': 47400, 'valid': False}),\n  ('normal control 3',\n   [{'CPT': 'b', 'FLEX': ['a', 'e', 'c', 'h', 'f']},\n    {'a': 2001, 'b': 1795, 'c': 582, 'd': 1795, 'e': -45, 'f': -45, 'g': -45, 'h': 215},\n    {'a': 3300, 'b': 7100, 'c': 9900, 'd': 5300, 'e': 10500, 'f': 7100, 'g': 7100, 'h': 10500},\n    {'a': 'H', 'b': 'H', 'c': 'H', 'd': 'A', 'e': 'A', 'f': 'H', 'g': 'A', 'h': 'A'}, 52000],\n   {'points': 5401, 'reason': None, 'salary': 52000, 'valid': True}),\n  ('normal control 4',\n   [{'CPT': 'b', 'FLEX': ['a', 'g', 'e', 'h', 'c']},\n    {'a': 1795, 'b': 2582, 'c': 1795, 'd': -45, 'e': -50, 'f': 2001, 'g': 225, 'h': -45},\n    {'a': 7100, 'b': 5300, 'c': 7100, 'd': 7100, 'e': 7100, 'f': 10500, 'g': 5300, 'h': 9900},\n    {'a': 'A', 'b': 'H', 'c': 'H', 'd': 'H', 'e': 'H', 'f': 'H', 'g': 'H', 'h': 'H'}, 44400],\n   {'points': 7593, 'reason': 'cap', 'salary': 44500, '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-two-team-requirement","generated_at":"2026-09-29T14:50:37.098276+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":"Count teams across the captain and all flex players.","root_cause":"The team-diversity check looks only at flex players.","sha256":"73d81f6ebd7ec3f568bbab83e29de40f9a741f4e8f8fc6343253cf8a664919bd","title":"Captain team ignored in the two-team rule · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.422,"exit_code":1,"observations":[{"actual":{"points":2730,"reason":null,"salary":28100,"valid":true},"check":"regression: two-team requirement","expected":{"points":2730,"reason":null,"salary":28100,"valid":true},"passed":true},{"actual":{"points":6702,"reason":"teams","salary":52000,"valid":false},"check":"partial repair probe: two-team requirement","expected":{"points":6702,"reason":null,"salary":52000,"valid":true},"passed":false},{"actual":{"points":2026,"reason":null,"salary":47000,"valid":true},"check":"second regression","expected":{"points":2026,"reason":null,"salary":47000,"valid":true},"passed":true},{"actual":{"points":8648,"reason":"roster","salary":49000,"valid":false},"check":"normal control 1","expected":{"points":8648,"reason":"roster","salary":49000,"valid":false},"passed":true},{"actual":{"points":7380,"reason":"roster","salary":37300,"valid":false},"check":"normal control 2","expected":{"points":7380,"reason":"roster","salary":37300,"valid":false},"passed":true},{"actual":{"points":7044,"reason":"roster","salary":41600,"valid":false},"check":"normal control 3","expected":{"points":7044,"reason":"roster","salary":41600,"valid":false},"passed":true},{"actual":{"points":5955,"reason":null,"salary":47800,"valid":true},"check":"normal control 4","expected":{"points":5955,"reason":null,"salary":47800,"valid":true},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: two-team requirement\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 28100, \"points\": 2730}, \"expected\": {\"points\": 2730, \"reason\": null, \"salary\": 28100, \"valid\": true}, \"passed\": true}, {\"check\": \"partial repair probe: two-team requirement\", \"actual\": {\"valid\": false, \"reason\": \"teams\", \"salary\": 52000, \"points\": 6702}, \"expected\": {\"points\": 6702, \"reason\": null, \"salary\": 52000, \"valid\": true}, \"passed\": false}, {\"check\": \"second regression\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 47000, \"points\": 2026}, \"expected\": {\"points\": 2026, \"reason\": null, \"salary\": 47000, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 49000, \"points\": 8648}, \"expected\": {\"points\": 8648, \"reason\": \"roster\", \"salary\": 49000, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 37300, \"points\": 7380}, \"expected\": {\"points\": 7380, \"reason\": \"roster\", \"salary\": 37300, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 41600, \"points\": 7044}, \"expected\": {\"points\": 7044, \"reason\": \"roster\", \"salary\": 41600, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 47800, \"points\": 5955}, \"expected\": {\"points\": 5955, \"reason\": null, \"salary\": 47800, \"valid\": true}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.77,"exit_code":1,"observations":[{"actual":{"points":2730,"reason":"teams","salary":28100,"valid":false},"check":"regression: two-team requirement","expected":{"points":2730,"reason":null,"salary":28100,"valid":true},"passed":false},{"actual":{"points":6702,"reason":null,"salary":52000,"valid":true},"check":"partial repair probe: two-team requirement","expected":{"points":6702,"reason":null,"salary":52000,"valid":true},"passed":true},{"actual":{"points":2026,"reason":"teams","salary":47000,"valid":false},"check":"second regression","expected":{"points":2026,"reason":null,"salary":47000,"valid":true},"passed":false},{"actual":{"points":8648,"reason":"roster","salary":49000,"valid":false},"check":"normal control 1","expected":{"points":8648,"reason":"roster","salary":49000,"valid":false},"passed":true},{"actual":{"points":7380,"reason":"roster","salary":37300,"valid":false},"check":"normal control 2","expected":{"points":7380,"reason":"roster","salary":37300,"valid":false},"passed":true},{"actual":{"points":7044,"reason":"roster","salary":41600,"valid":false},"check":"normal control 3","expected":{"points":7044,"reason":"roster","salary":41600,"valid":false},"passed":true},{"actual":{"points":5955,"reason":null,"salary":47800,"valid":true},"check":"normal control 4","expected":{"points":5955,"reason":null,"salary":47800,"valid":true},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: two-team requirement\", \"actual\": {\"valid\": false, \"reason\": \"teams\", \"salary\": 28100, \"points\": 2730}, \"expected\": {\"points\": 2730, \"reason\": null, \"salary\": 28100, \"valid\": true}, \"passed\": false}, {\"check\": \"partial repair probe: two-team requirement\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 52000, \"points\": 6702}, \"expected\": {\"points\": 6702, \"reason\": null, \"salary\": 52000, \"valid\": true}, \"passed\": true}, {\"check\": \"second regression\", \"actual\": {\"valid\": false, \"reason\": \"teams\", \"salary\": 47000, \"points\": 2026}, \"expected\": {\"points\": 2026, \"reason\": null, \"salary\": 47000, \"valid\": true}, \"passed\": false}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 49000, \"points\": 8648}, \"expected\": {\"points\": 8648, \"reason\": \"roster\", \"salary\": 49000, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 37300, \"points\": 7380}, \"expected\": {\"points\": 7380, \"reason\": \"roster\", \"salary\": 37300, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 41600, \"points\": 7044}, \"expected\": {\"points\": 7044, \"reason\": \"roster\", \"salary\": 41600, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 47800, \"points\": 5955}, \"expected\": {\"points\": 5955, \"reason\": null, \"salary\": 47800, \"valid\": true}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":42.409,"exit_code":0,"observations":[{"actual":{"points":2730,"reason":null,"salary":28100,"valid":true},"check":"regression: two-team requirement","expected":{"points":2730,"reason":null,"salary":28100,"valid":true},"passed":true},{"actual":{"points":6702,"reason":null,"salary":52000,"valid":true},"check":"partial repair probe: two-team requirement","expected":{"points":6702,"reason":null,"salary":52000,"valid":true},"passed":true},{"actual":{"points":2026,"reason":null,"salary":47000,"valid":true},"check":"second regression","expected":{"points":2026,"reason":null,"salary":47000,"valid":true},"passed":true},{"actual":{"points":8648,"reason":"roster","salary":49000,"valid":false},"check":"normal control 1","expected":{"points":8648,"reason":"roster","salary":49000,"valid":false},"passed":true},{"actual":{"points":7380,"reason":"roster","salary":37300,"valid":false},"check":"normal control 2","expected":{"points":7380,"reason":"roster","salary":37300,"valid":false},"passed":true},{"actual":{"points":7044,"reason":"roster","salary":41600,"valid":false},"check":"normal control 3","expected":{"points":7044,"reason":"roster","salary":41600,"valid":false},"passed":true},{"actual":{"points":5955,"reason":null,"salary":47800,"valid":true},"check":"normal control 4","expected":{"points":5955,"reason":null,"salary":47800,"valid":true},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: two-team requirement\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 28100, \"points\": 2730}, \"expected\": {\"points\": 2730, \"reason\": null, \"salary\": 28100, \"valid\": true}, \"passed\": true}, {\"check\": \"partial repair probe: two-team requirement\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 52000, \"points\": 6702}, \"expected\": {\"points\": 6702, \"reason\": null, \"salary\": 52000, \"valid\": true}, \"passed\": true}, {\"check\": \"second regression\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 47000, \"points\": 2026}, \"expected\": {\"points\": 2026, \"reason\": null, \"salary\": 47000, \"valid\": true}, \"passed\": true}, {\"check\": \"normal control 1\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 49000, \"points\": 8648}, \"expected\": {\"points\": 8648, \"reason\": \"roster\", \"salary\": 49000, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 2\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 37300, \"points\": 7380}, \"expected\": {\"points\": 7380, \"reason\": \"roster\", \"salary\": 37300, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 3\", \"actual\": {\"valid\": false, \"reason\": \"roster\", \"salary\": 41600, \"points\": 7044}, \"expected\": {\"points\": 7044, \"reason\": \"roster\", \"salary\": 41600, \"valid\": false}, \"passed\": true}, {\"check\": \"normal control 4\", \"actual\": {\"valid\": true, \"reason\": null, \"salary\": 47800, \"points\": 5955}, \"expected\": {\"points\": 5955, \"reason\": null, \"salary\": 47800, \"valid\": true}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}