{"abstract":"Sums past midnight produce hours 24 and above.","category":"Broadcast timecode arithmetic","checks":9,"contract":"Add two valid non-drop labels at integer fps field by field with carries (frames into seconds at fps, seconds into minutes at 60, minutes into hours at 60) and wrap hours modulo 24.","contract_signature":"a, b, fps","evaluation_group":"w2-broadcast-timecode-arithmetic-fieldwise-addition","failed_approach":"Subtracting 24 only above 24 leaves an hour field of exactly 24.","family":"w2-broadcast-timecode-arithmetic-fieldwise-addition-hour-wrap","id":"FA-78486","implementations":{"attempt":{"sha256":"a209c6cbd394cb9959449557da24a5feb8bfe471d18d6412fde724cffbb577f0","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(a, b, fps):\n    x=[int(v) for v in a.split(':')]\n    y=[int(v) for v in b.split(':')]\n    f=x[3]+y[3]\n    c=f//fps\n    f%=fps\n    s=x[2]+y[2]+c\n    c=s//60\n    s%=60\n    m=x[1]+y[1]+c\n    c=m//60\n    m%=60\n    h=x[0]+y[0]+c-24 if x[0]+y[0]+c>24 else x[0]+y[0]+c\n    return '%02d:%02d:%02d:%02d'%(h,m,s,f)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: hour wrap', ['23:59:59:29', '00:00:00:01', 30], '00:00:00:00'), ('regression variant: hour wrap', ['00:59:59:15', '23:30:00:29', 30], '00:30:00:14'), ('partial repair probe: hour wrap', ['00:59:59:01', '23:01:59:00', 25], '00:01:58:01'), ('partial repair variant: hour wrap', ['23:59:01:00', '00:00:59:24', 25], '00:00:00:24'), ('boundary control', ['00:00:00:12', '00:00:00:13', 25], '00:00:01:00'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('normal control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('normal control', ['00:59:01:00', '01:00:30:12', 25], '01:59:31:12'), ('normal control', ['01:30:30:00', '12:59:01:01', 24], '14:29:31:01')], [('regression: hour wrap', ['23:59:01:00', '12:00:01:12', 25], '11:59:02:12'), ('regression variant: hour wrap', ['23:01:30:12', '23:00:59:00', 24], '22:02:29:12'), ('partial repair probe: hour wrap', ['00:59:59:01', '23:01:59:00', 25], '00:01:58:01'), ('partial repair variant: hour wrap', ['23:30:59:01', '00:30:59:23', 24], '00:01:59:00'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('boundary control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('normal control', ['00:00:59:12', '00:01:01:12', 25], '00:02:00:24'), ('normal control', ['01:59:30:24', '12:01:00:00', 25], '14:00:30:24'), ('normal control', ['01:30:01:01', '00:30:59:01', 30], '02:01:00:02')], [('regression: hour wrap', ['23:00:01:24', '23:00:00:00', 25], '22:00:01:24'), ('regression variant: hour wrap', ['00:59:59:01', '23:01:59:00', 25], '00:01:58:01'), ('partial repair probe: hour wrap', ['12:01:01:15', '12:01:00:00', 30], '00:02:01:15'), ('partial repair variant: hour wrap', ['00:59:01:24', '23:59:00:12', 25], '00:58:02:11'), ('boundary control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('boundary control', ['00:00:00:12', '00:00:00:13', 25], '00:00:01:00'), ('normal control', ['12:59:00:29', '00:00:00:15', 30], '12:59:01:14'), ('normal control', ['00:00:01:24', '23:01:59:00', 25], '23:02:00:24'), ('normal control', ['01:59:01:01', '00:59:01:12', 24], '02:58:02:13')], [('regression: hour wrap', ['23:30:00:15', '23:30:01:00', 30], '23:00:01:15'), ('regression variant: hour wrap', ['12:59:01:15', '12:59:30:15', 30], '01:58:32:00'), ('partial repair probe: hour wrap', ['23:00:00:29', '00:59:59:15', 30], '00:00:00:14'), ('partial repair variant: hour wrap', ['23:30:59:01', '01:00:01:12', 25], '00:31:00:13'), ('boundary control', ['00:00:00:12', '00:00:00:13', 25], '00:00:01:00'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('normal control', ['00:00:00:12', '23:00:01:01', 25], '23:00:01:13'), ('normal control', ['00:59:01:00', '12:00:01:23', 24], '12:59:02:23'), ('normal control', ['00:00:30:12', '23:30:01:24', 25], '23:30:32:11')], [('regression: hour wrap', ['12:00:00:12', '12:00:01:24', 25], '00:00:02:11'), ('regression variant: hour wrap', ['12:01:01:15', '12:01:00:00', 30], '00:02:01:15'), ('partial repair probe: hour wrap', ['23:01:30:24', '01:00:01:12', 25], '00:01:32:11'), ('partial repair variant: hour wrap', ['12:30:00:01', '12:00:59:15', 30], '00:30:59:16'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('boundary control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('normal control', ['00:01:30:23', '00:59:30:12', 24], '01:01:01:11'), ('normal control', ['01:01:30:24', '01:59:00:01', 25], '03:00:31:00'), ('normal control', ['23:30:01:12', '00:01:59:12', 25], '23:32:00:24')]]\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":"a934b153f280fbed9caa3ab35bfd438b25e3a16ba1c683e1f7b35b8bb6b2f109","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(a, b, fps):\n    x=[int(v) for v in a.split(':')]\n    y=[int(v) for v in b.split(':')]\n    f=x[3]+y[3]\n    c=f//fps\n    f%=fps\n    s=x[2]+y[2]+c\n    c=s//60\n    s%=60\n    m=x[1]+y[1]+c\n    c=m//60\n    m%=60\n    h=x[0]+y[0]+c\n    return '%02d:%02d:%02d:%02d'%(h,m,s,f)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: hour wrap', ['23:59:59:29', '00:00:00:01', 30], '00:00:00:00'), ('regression variant: hour wrap', ['00:59:59:15', '23:30:00:29', 30], '00:30:00:14'), ('partial repair probe: hour wrap', ['00:59:59:01', '23:01:59:00', 25], '00:01:58:01'), ('partial repair variant: hour wrap', ['23:59:01:00', '00:00:59:24', 25], '00:00:00:24'), ('boundary control', ['00:00:00:12', '00:00:00:13', 25], '00:00:01:00'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('normal control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('normal control', ['00:59:01:00', '01:00:30:12', 25], '01:59:31:12'), ('normal control', ['01:30:30:00', '12:59:01:01', 24], '14:29:31:01')], [('regression: hour wrap', ['23:59:01:00', '12:00:01:12', 25], '11:59:02:12'), ('regression variant: hour wrap', ['23:01:30:12', '23:00:59:00', 24], '22:02:29:12'), ('partial repair probe: hour wrap', ['00:59:59:01', '23:01:59:00', 25], '00:01:58:01'), ('partial repair variant: hour wrap', ['23:30:59:01', '00:30:59:23', 24], '00:01:59:00'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('boundary control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('normal control', ['00:00:59:12', '00:01:01:12', 25], '00:02:00:24'), ('normal control', ['01:59:30:24', '12:01:00:00', 25], '14:00:30:24'), ('normal control', ['01:30:01:01', '00:30:59:01', 30], '02:01:00:02')], [('regression: hour wrap', ['23:00:01:24', '23:00:00:00', 25], '22:00:01:24'), ('regression variant: hour wrap', ['00:59:59:01', '23:01:59:00', 25], '00:01:58:01'), ('partial repair probe: hour wrap', ['12:01:01:15', '12:01:00:00', 30], '00:02:01:15'), ('partial repair variant: hour wrap', ['00:59:01:24', '23:59:00:12', 25], '00:58:02:11'), ('boundary control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('boundary control', ['00:00:00:12', '00:00:00:13', 25], '00:00:01:00'), ('normal control', ['12:59:00:29', '00:00:00:15', 30], '12:59:01:14'), ('normal control', ['00:00:01:24', '23:01:59:00', 25], '23:02:00:24'), ('normal control', ['01:59:01:01', '00:59:01:12', 24], '02:58:02:13')], [('regression: hour wrap', ['23:30:00:15', '23:30:01:00', 30], '23:00:01:15'), ('regression variant: hour wrap', ['12:59:01:15', '12:59:30:15', 30], '01:58:32:00'), ('partial repair probe: hour wrap', ['23:00:00:29', '00:59:59:15', 30], '00:00:00:14'), ('partial repair variant: hour wrap', ['23:30:59:01', '01:00:01:12', 25], '00:31:00:13'), ('boundary control', ['00:00:00:12', '00:00:00:13', 25], '00:00:01:00'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('normal control', ['00:00:00:12', '23:00:01:01', 25], '23:00:01:13'), ('normal control', ['00:59:01:00', '12:00:01:23', 24], '12:59:02:23'), ('normal control', ['00:00:30:12', '23:30:01:24', 25], '23:30:32:11')], [('regression: hour wrap', ['12:00:00:12', '12:00:01:24', 25], '00:00:02:11'), ('regression variant: hour wrap', ['12:01:01:15', '12:01:00:00', 30], '00:02:01:15'), ('partial repair probe: hour wrap', ['23:01:30:24', '01:00:01:12', 25], '00:01:32:11'), ('partial repair variant: hour wrap', ['12:30:00:01', '12:00:59:15', 30], '00:30:59:16'), ('boundary control', ['00:00:59:24', '00:00:00:01', 25], '00:01:00:00'), ('boundary control', ['00:00:00:00', '00:00:00:00', 24], '00:00:00:00'), ('normal control', ['00:01:30:23', '00:59:30:12', 24], '01:01:01:11'), ('normal control', ['01:01:30:24', '01:59:00:01', 25], '03:00:31:00'), ('normal control', ['23:30:01:12', '00:01:59:12', 25], '23:32:00:24')]]\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 bounded teaching model with a stipulated toy contract; it does not claim conformance to SMPTE or any broadcast standard. 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-broadcast-timecode-arithmetic-fieldwise-addition-hour-wrap","generated_at":"2026-09-29T14:49:35.902630+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Timecode arithmetic errors misplace edits, commercial breaks and captions against the broadcast clock.","root_cause":"The hour sum is not wrapped.","sha256":"c559cfbf7657874e72b21e889241b598dffa802d278baee798cc2124412a4c7a","title":"Field-wise non-drop timecode addition: hour wrap · 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":40.146,"exit_code":1,"observations":[{"actual":"24:00:00:00","check":"regression: hour wrap","expected":"00:00:00:00","passed":false},{"actual":"24:30:00:14","check":"regression variant: hour wrap","expected":"00:30:00:14","passed":false},{"actual":"24:01:58:01","check":"partial repair probe: hour wrap","expected":"00:01:58:01","passed":false},{"actual":"24:00:00:24","check":"partial repair variant: hour wrap","expected":"00:00:00:24","passed":false},{"actual":"00:00:01:00","check":"boundary control","expected":"00:00:01:00","passed":true},{"actual":"00:01:00:00","check":"boundary control","expected":"00:01:00:00","passed":true},{"actual":"00:00:00:00","check":"normal control","expected":"00:00:00:00","passed":true},{"actual":"01:59:31:12","check":"normal control","expected":"01:59:31:12","passed":true},{"actual":"14:29:31:01","check":"normal control","expected":"14:29:31:01","passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: hour wrap\", \"actual\": \"24:00:00:00\", \"expected\": \"00:00:00:00\", \"passed\": false}, {\"check\": \"regression variant: hour wrap\", \"actual\": \"24:30:00:14\", \"expected\": \"00:30:00:14\", \"passed\": false}, {\"check\": \"partial repair probe: hour wrap\", \"actual\": \"24:01:58:01\", \"expected\": \"00:01:58:01\", \"passed\": false}, {\"check\": \"partial repair variant: hour wrap\", \"actual\": \"24:00:00:24\", \"expected\": \"00:00:00:24\", \"passed\": false}, {\"check\": \"boundary control\", \"actual\": \"00:00:01:00\", \"expected\": \"00:00:01:00\", \"passed\": true}, {\"check\": \"boundary control\", \"actual\": \"00:01:00:00\", \"expected\": \"00:01:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"00:00:00:00\", \"expected\": \"00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"01:59:31:12\", \"expected\": \"01:59:31:12\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"14:29:31:01\", \"expected\": \"14:29:31:01\", \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.338,"exit_code":1,"observations":[{"actual":"24:00:00:00","check":"regression: hour wrap","expected":"00:00:00:00","passed":false},{"actual":"24:30:00:14","check":"regression variant: hour wrap","expected":"00:30:00:14","passed":false},{"actual":"24:01:58:01","check":"partial repair probe: hour wrap","expected":"00:01:58:01","passed":false},{"actual":"24:00:00:24","check":"partial repair variant: hour wrap","expected":"00:00:00:24","passed":false},{"actual":"00:00:01:00","check":"boundary control","expected":"00:00:01:00","passed":true},{"actual":"00:01:00:00","check":"boundary control","expected":"00:01:00:00","passed":true},{"actual":"00:00:00:00","check":"normal control","expected":"00:00:00:00","passed":true},{"actual":"01:59:31:12","check":"normal control","expected":"01:59:31:12","passed":true},{"actual":"14:29:31:01","check":"normal control","expected":"14:29:31:01","passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: hour wrap\", \"actual\": \"24:00:00:00\", \"expected\": \"00:00:00:00\", \"passed\": false}, {\"check\": \"regression variant: hour wrap\", \"actual\": \"24:30:00:14\", \"expected\": \"00:30:00:14\", \"passed\": false}, {\"check\": \"partial repair probe: hour wrap\", \"actual\": \"24:01:58:01\", \"expected\": \"00:01:58:01\", \"passed\": false}, {\"check\": \"partial repair variant: hour wrap\", \"actual\": \"24:00:00:24\", \"expected\": \"00:00:00:24\", \"passed\": false}, {\"check\": \"boundary control\", \"actual\": \"00:00:01:00\", \"expected\": \"00:00:01:00\", \"passed\": true}, {\"check\": \"boundary control\", \"actual\": \"00:01:00:00\", \"expected\": \"00:01:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"00:00:00:00\", \"expected\": \"00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"01:59:31:12\", \"expected\": \"01:59:31:12\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"14:29:31:01\", \"expected\": \"14:29:31:01\", \"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."}}