{"abstract":"Offsets beyond an hour show minute fields above 59.","category":"Broadcast timecode arithmetic","checks":8,"contract":"Express label tc relative to programme start as \"+HH:MM:SS:FF\" or \"-HH:MM:SS:FF\" along the shorter way round the 24-hour clock (an offset of exactly 12 hours is negative). Zero is \"+\".","evaluation_group":"w2-broadcast-timecode-arithmetic-programme-relative","failed_approach":"Dividing the in-hour remainder by 60 forgets to divide by fps.","family":"w2-broadcast-timecode-arithmetic-programme-relative-minute-field","id":"FA-78661","implementations":{"attempt":{"sha256":"7ccee4be5ea845b6ff3ec4b3666b6cb4f8a78c60c700552eb95466e643294796","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(tc, start, fps):\n    def fr(t):\n        h,m,s,f=map(int,t.split(':'))\n        return ((h*60+m)*60+s)*fps+f\n    day=86400*fps\n    d=(fr(tc)-fr(start))%day\n    if d>=day//2:\n        d-=day\n    sign='-' if d<0 else '+'\n    a=abs(d)\n    return '%s%02d:%02d:%02d:%02d'%(sign,a//(3600*fps),a%(3600*fps)//60,a//fps%60,a%fps)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: minute field', ['01:59:59:29', '23:59:00:00', 30], '+02:00:59:29'), ('regression variant: minute field', ['01:00:00:01', '10:00:00:00', 25], '-08:59:59:24'), ('partial repair probe: minute field', ['23:59:50:00', '00:00:10:00', 25], '-00:00:20:00'), ('partial repair variant: minute field', ['23:00:59:15', '00:00:10:00', 30], '-00:59:10:15'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 30], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 25], '+00:00:00:00')], [('regression: minute field', ['22:00:00:00', '10:00:00:00', 30], '-12:00:00:00'), ('regression variant: minute field', ['12:59:59:24', '01:00:00:00', 30], '+11:59:59:24'), ('partial repair probe: minute field', ['01:59:59:29', '23:59:00:00', 30], '+02:00:59:29'), ('partial repair variant: minute field', ['00:59:30:00', '00:00:10:00', 30], '+00:59:20:00'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29'), ('normal control', ['01:00:00:01', '01:00:00:00', 30], '+00:00:00:01'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00')], [('regression: minute field', ['11:59:59:00', '01:00:00:00', 25], '+10:59:59:00'), ('regression variant: minute field', ['10:59:59:15', '01:00:00:00', 30], '+09:59:59:15'), ('partial repair probe: minute field', ['00:59:30:00', '00:00:10:00', 25], '+00:59:20:00'), ('partial repair variant: minute field', ['00:00:00:00', '00:00:10:00', 25], '-00:00:10:00'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['10:00:00:00', '10:00:00:00', 25], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 25], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29')], [('regression: minute field', ['12:59:59:24', '23:59:00:00', 25], '-10:59:00:01'), ('regression variant: minute field', ['01:01:01:00', '23:59:00:00', 25], '+01:02:01:00'), ('partial repair probe: minute field', ['11:59:59:00', '01:00:00:00', 25], '+10:59:59:00'), ('partial repair variant: minute field', ['00:01:59:15', '01:00:00:00', 30], '-00:58:00:15'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:01', '01:00:00:00', 25], '+00:00:00:01'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00'), ('normal control', ['10:00:00:00', '10:00:00:00', 25], '+00:00:00:00')], [('regression: minute field', ['01:00:01:01', '10:00:00:00', 30], '-08:59:58:29'), ('regression variant: minute field', ['00:00:00:00', '01:00:00:00', 30], '-01:00:00:00'), ('partial repair probe: minute field', ['01:01:01:01', '01:00:00:00', 25], '+00:01:01:01'), ('partial repair variant: minute field', ['01:00:00:01', '10:00:00:00', 25], '-08:59:59:24'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['23:59:00:00', '23:59:00:00', 25], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29'), ('normal control', ['01:00:00:01', '01:00:00:00', 25], '+00:00:00:01')]]\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":"66f376b2ec0598f5d0b8ac498d6c5545eeb0928898da6be892b9c564575a5ba4","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(tc, start, fps):\n    def fr(t):\n        h,m,s,f=map(int,t.split(':'))\n        return ((h*60+m)*60+s)*fps+f\n    day=86400*fps\n    d=(fr(tc)-fr(start))%day\n    if d>=day//2:\n        d-=day\n    sign='-' if d<0 else '+'\n    a=abs(d)\n    return '%s%02d:%02d:%02d:%02d'%(sign,a//(3600*fps),a//(60*fps),a//fps%60,a%fps)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: minute field', ['01:59:59:29', '23:59:00:00', 30], '+02:00:59:29'), ('regression variant: minute field', ['01:00:00:01', '10:00:00:00', 25], '-08:59:59:24'), ('partial repair probe: minute field', ['23:59:50:00', '00:00:10:00', 25], '-00:00:20:00'), ('partial repair variant: minute field', ['23:00:59:15', '00:00:10:00', 30], '-00:59:10:15'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 30], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 25], '+00:00:00:00')], [('regression: minute field', ['22:00:00:00', '10:00:00:00', 30], '-12:00:00:00'), ('regression variant: minute field', ['12:59:59:24', '01:00:00:00', 30], '+11:59:59:24'), ('partial repair probe: minute field', ['01:59:59:29', '23:59:00:00', 30], '+02:00:59:29'), ('partial repair variant: minute field', ['00:59:30:00', '00:00:10:00', 30], '+00:59:20:00'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29'), ('normal control', ['01:00:00:01', '01:00:00:00', 30], '+00:00:00:01'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00')], [('regression: minute field', ['11:59:59:00', '01:00:00:00', 25], '+10:59:59:00'), ('regression variant: minute field', ['10:59:59:15', '01:00:00:00', 30], '+09:59:59:15'), ('partial repair probe: minute field', ['00:59:30:00', '00:00:10:00', 25], '+00:59:20:00'), ('partial repair variant: minute field', ['00:00:00:00', '00:00:10:00', 25], '-00:00:10:00'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['10:00:00:00', '10:00:00:00', 25], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 25], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29')], [('regression: minute field', ['12:59:59:24', '23:59:00:00', 25], '-10:59:00:01'), ('regression variant: minute field', ['01:01:01:00', '23:59:00:00', 25], '+01:02:01:00'), ('partial repair probe: minute field', ['11:59:59:00', '01:00:00:00', 25], '+10:59:59:00'), ('partial repair variant: minute field', ['00:01:59:15', '01:00:00:00', 30], '-00:58:00:15'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:01', '01:00:00:00', 25], '+00:00:00:01'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00'), ('normal control', ['10:00:00:00', '10:00:00:00', 25], '+00:00:00:00')], [('regression: minute field', ['01:00:01:01', '10:00:00:00', 30], '-08:59:58:29'), ('regression variant: minute field', ['00:00:00:00', '01:00:00:00', 30], '-01:00:00:00'), ('partial repair probe: minute field', ['01:01:01:01', '01:00:00:00', 25], '+00:01:01:01'), ('partial repair variant: minute field', ['01:00:00:01', '10:00:00:00', 25], '-08:59:59:24'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['23:59:00:00', '23:59:00:00', 25], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29'), ('normal control', ['01:00:00:01', '01:00:00:00', 25], '+00:00:00:01')]]\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":"b8dd8620948d5766da0069b7a282e20656f37ddae35dbe165a282c7300dcd440","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(tc, start, fps):\n    def fr(t):\n        h,m,s,f=map(int,t.split(':'))\n        return ((h*60+m)*60+s)*fps+f\n    day=86400*fps\n    d=(fr(tc)-fr(start))%day\n    if d>=day//2:\n        d-=day\n    sign='-' if d<0 else '+'\n    a=abs(d)\n    return '%s%02d:%02d:%02d:%02d'%(sign,a//(3600*fps),a//(60*fps)%60,a//fps%60,a%fps)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: minute field', ['01:59:59:29', '23:59:00:00', 30], '+02:00:59:29'), ('regression variant: minute field', ['01:00:00:01', '10:00:00:00', 25], '-08:59:59:24'), ('partial repair probe: minute field', ['23:59:50:00', '00:00:10:00', 25], '-00:00:20:00'), ('partial repair variant: minute field', ['23:00:59:15', '00:00:10:00', 30], '-00:59:10:15'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 30], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 25], '+00:00:00:00')], [('regression: minute field', ['22:00:00:00', '10:00:00:00', 30], '-12:00:00:00'), ('regression variant: minute field', ['12:59:59:24', '01:00:00:00', 30], '+11:59:59:24'), ('partial repair probe: minute field', ['01:59:59:29', '23:59:00:00', 30], '+02:00:59:29'), ('partial repair variant: minute field', ['00:59:30:00', '00:00:10:00', 30], '+00:59:20:00'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29'), ('normal control', ['01:00:00:01', '01:00:00:00', 30], '+00:00:00:01'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00')], [('regression: minute field', ['11:59:59:00', '01:00:00:00', 25], '+10:59:59:00'), ('regression variant: minute field', ['10:59:59:15', '01:00:00:00', 30], '+09:59:59:15'), ('partial repair probe: minute field', ['00:59:30:00', '00:00:10:00', 25], '+00:59:20:00'), ('partial repair variant: minute field', ['00:00:00:00', '00:00:10:00', 25], '-00:00:10:00'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['10:00:00:00', '10:00:00:00', 25], '+00:00:00:00'), ('normal control', ['00:00:10:00', '00:00:10:00', 25], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29')], [('regression: minute field', ['12:59:59:24', '23:59:00:00', 25], '-10:59:00:01'), ('regression variant: minute field', ['01:01:01:00', '23:59:00:00', 25], '+01:02:01:00'), ('partial repair probe: minute field', ['11:59:59:00', '01:00:00:00', 25], '+10:59:59:00'), ('partial repair variant: minute field', ['00:01:59:15', '01:00:00:00', 30], '-00:58:00:15'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['01:00:00:01', '01:00:00:00', 25], '+00:00:00:01'), ('normal control', ['01:00:00:00', '01:00:00:00', 25], '+00:00:00:00'), ('normal control', ['10:00:00:00', '10:00:00:00', 25], '+00:00:00:00')], [('regression: minute field', ['01:00:01:01', '10:00:00:00', 30], '-08:59:58:29'), ('regression variant: minute field', ['00:00:00:00', '01:00:00:00', 30], '-01:00:00:00'), ('partial repair probe: minute field', ['01:01:01:01', '01:00:00:00', 25], '+00:01:01:01'), ('partial repair variant: minute field', ['01:00:00:01', '10:00:00:00', 25], '-08:59:59:24'), ('boundary control', ['01:00:00:00', '01:00:00:00', 30], '+00:00:00:00'), ('normal control', ['23:59:00:00', '23:59:00:00', 25], '+00:00:00:00'), ('normal control', ['01:00:00:29', '01:00:00:00', 30], '+00:00:00:29'), ('normal control', ['01:00:00:01', '01:00:00:00', 25], '+00:00:00:01')]]\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-programme-relative-minute-field","generated_at":"2026-09-29T14:49:37.333076+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.","repair":"Reduce the minute field modulo 60.","root_cause":"Total minutes are printed without reducing modulo 60.","sha256":"3bdb2ca9b4976c3b42563b88aa7bbf8709b1db6758604d232fc0650659cca866","title":"Programme-relative signed timecode: minute field · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.208,"exit_code":1,"observations":[{"actual":"+02:29:59:29","check":"regression: minute field","expected":"+02:00:59:29","passed":false},{"actual":"-08:1499:59:24","check":"regression variant: minute field","expected":"-08:59:59:24","passed":false},{"actual":"-00:08:20:00","check":"partial repair probe: minute field","expected":"-00:00:20:00","passed":false},{"actual":"-00:1775:10:15","check":"partial repair variant: minute field","expected":"-00:59:10:15","passed":false},{"actual":"+00:00:00:00","check":"boundary control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: minute field\", \"actual\": \"+02:29:59:29\", \"expected\": \"+02:00:59:29\", \"passed\": false}, {\"check\": \"regression variant: minute field\", \"actual\": \"-08:1499:59:24\", \"expected\": \"-08:59:59:24\", \"passed\": false}, {\"check\": \"partial repair probe: minute field\", \"actual\": \"-00:08:20:00\", \"expected\": \"-00:00:20:00\", \"passed\": false}, {\"check\": \"partial repair variant: minute field\", \"actual\": \"-00:1775:10:15\", \"expected\": \"-00:59:10:15\", \"passed\": false}, {\"check\": \"boundary control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.391,"exit_code":1,"observations":[{"actual":"+02:120:59:29","check":"regression: minute field","expected":"+02:00:59:29","passed":false},{"actual":"-08:539:59:24","check":"regression variant: minute field","expected":"-08:59:59:24","passed":false},{"actual":"-00:00:20:00","check":"partial repair probe: minute field","expected":"-00:00:20:00","passed":true},{"actual":"-00:59:10:15","check":"partial repair variant: minute field","expected":"-00:59:10:15","passed":true},{"actual":"+00:00:00:00","check":"boundary control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: minute field\", \"actual\": \"+02:120:59:29\", \"expected\": \"+02:00:59:29\", \"passed\": false}, {\"check\": \"regression variant: minute field\", \"actual\": \"-08:539:59:24\", \"expected\": \"-08:59:59:24\", \"passed\": false}, {\"check\": \"partial repair probe: minute field\", \"actual\": \"-00:00:20:00\", \"expected\": \"-00:00:20:00\", \"passed\": true}, {\"check\": \"partial repair variant: minute field\", \"actual\": \"-00:59:10:15\", \"expected\": \"-00:59:10:15\", \"passed\": true}, {\"check\": \"boundary control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.923,"exit_code":0,"observations":[{"actual":"+02:00:59:29","check":"regression: minute field","expected":"+02:00:59:29","passed":true},{"actual":"-08:59:59:24","check":"regression variant: minute field","expected":"-08:59:59:24","passed":true},{"actual":"-00:00:20:00","check":"partial repair probe: minute field","expected":"-00:00:20:00","passed":true},{"actual":"-00:59:10:15","check":"partial repair variant: minute field","expected":"-00:59:10:15","passed":true},{"actual":"+00:00:00:00","check":"boundary control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true},{"actual":"+00:00:00:00","check":"normal control","expected":"+00:00:00:00","passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: minute field\", \"actual\": \"+02:00:59:29\", \"expected\": \"+02:00:59:29\", \"passed\": true}, {\"check\": \"regression variant: minute field\", \"actual\": \"-08:59:59:24\", \"expected\": \"-08:59:59:24\", \"passed\": true}, {\"check\": \"partial repair probe: minute field\", \"actual\": \"-00:00:20:00\", \"expected\": \"-00:00:20:00\", \"passed\": true}, {\"check\": \"partial repair variant: minute field\", \"actual\": \"-00:59:10:15\", \"expected\": \"-00:59:10:15\", \"passed\": true}, {\"check\": \"boundary control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}, {\"check\": \"normal control\", \"actual\": \"+00:00:00:00\", \"expected\": \"+00:00:00:00\", \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}