FA-78776 / Broadcast timecode arithmetic / Open access
Operator timecode entry normalization: digit count limit · case 01
A nine-digit entry is accepted and truncated silently.
ROOT CAUSE
The digit limit allows nine digits.
VERIFIED REPAIR
Allow at most eight digits.
Unsuccessful approach: Rejecting eight digits refuses a complete HHMMSSFF entry.
Case contract
Normalize typed timecode. Separators ":", ";" and "." are equivalent. With separators, up to four numeric fields fill from the right (frames last). Without separators, up to eight digits are right-aligned into HH MM SS FF pairs. Field overflow carries through the total frame count, which wraps at 24 hours. Invalid entry returns None.
Why this case matters
Timecode arithmetic errors misplace edits, commercial breaks and captions against the broadcast clock.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(s, fps):
s=s.replace(';',':').replace('.',':')
if ':' in s:
parts=s.split(':')
if len(parts)>4 or not all(p.isdigit() for p in parts):
return None
vals=[0]*(4-len(parts))+[int(p) for p in parts]
else:
if not s.isdigit() or len(s)>9:
return None
d=s.zfill(8)
vals=[int(d[i:i+2]) for i in range(0,8,2)]
h,m,sec,f=vals
n=((h*60+m)*60+sec)*fps+f
n%=86400*fps
return '%02d:%02d:%02d:%02d'%(n//(3600*fps),n//(60*fps)%60,n//fps%60,n%fps)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: digit count limit', ['123456789', 25], None), ('regression variant: digit count limit', ['123456789', 30], None), ('partial repair probe: digit count limit', ['12345678', 30], '12:34:58:18'), ('partial repair variant: digit count limit', ['12345678', 25], '12:34:59:03'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['1:2', 25], '00:00:01:02'), ('normal control', ['59.10', 24], '00:00:59:10'), ('normal control', ['59.99', 24], '00:01:03:03')], [('regression: digit count limit', ['123456789', 24], None), ('regression variant: digit count limit', ['123456789', 25], None), ('partial repair probe: digit count limit', ['12345678', 24], '12:34:59:06'), ('partial repair variant: digit count limit', ['12345678', 30], '12:34:58:18'), ('boundary control', ['1:2', 25], '00:00:01:02'), ('boundary control', ['100', 25], '00:00:01:00'), ('normal control', ['100', 30], '00:00:01:00'), ('normal control', ['0:23:23', 24], '00:00:23:23'), ('normal control', ['10', 24], '00:00:00:10')], [('regression: digit count limit', ['123456789', 30], None), ('regression variant: digit count limit', ['123456789', 24], None), ('partial repair probe: digit count limit', ['23595924', 25], '23:59:59:24'), ('partial repair variant: digit count limit', ['12345678', 24], '12:34:59:06'), ('boundary control', ['99', 25], '00:00:03:24'), ('boundary control', ['1:2', 25], '00:00:01:02'), ('normal control', ['100', 24], '00:00:01:00'), ('normal control', ['30', 24], '00:00:01:06'), ('normal control', ['61:59:59:24:0', 25], None)], [('regression: digit count limit', ['123456789', 25], None), ('regression variant: digit count limit', ['123456789', 30], None), ('partial repair probe: digit count limit', ['12345678', 25], '12:34:59:03'), ('partial repair variant: digit count limit', ['23595924', 25], '23:59:59:24'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('boundary control', ['99', 25], '00:00:03:24'), ('normal control', ['1000', 24], '00:00:10:00'), ('normal control', ['23:30:30', 24], '00:23:31:06'), ('normal control', ['59.2', 24], '00:00:59:02')], [('regression: digit count limit', ['123456789', 24], None), ('regression variant: digit count limit', ['123456789', 25], None), ('partial repair probe: digit count limit', ['12345678', 30], '12:34:58:18'), ('partial repair variant: digit count limit', ['12345678', 25], '12:34:59:03'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['1:30:10', 30], '00:01:30:10'), ('normal control', ['x1', 25], None), ('normal control', ['59:59:2', 30], '00:59:59:02')]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: digit count limit | 12:34:59:03 | None | Failed |
| regression variant: digit count limit | 12:34:58:18 | None | Failed |
| partial repair probe: digit count limit | 12:34:58:18 | 12:34:58:18 | Passed |
| partial repair variant: digit count limit | 12:34:59:03 | 12:34:59:03 | Passed |
| boundary control | 00:00:01:00 | 00:00:01:00 | Passed |
| boundary control | 01:02:03:04 | 01:02:03:04 | Passed |
| normal control | 00:00:01:02 | 00:00:01:02 | Passed |
| normal control | 00:00:59:10 | 00:00:59:10 | Passed |
| normal control | 00:01:03:03 | 00:01:03:03 | Passed |
SHA-256 / e2ea6164f00c000ca6df737ed4c249ce9f6401e18ea2213e17299c20313e2d47
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(s, fps):
s=s.replace(';',':').replace('.',':')
if ':' in s:
parts=s.split(':')
if len(parts)>4 or not all(p.isdigit() for p in parts):
return None
vals=[0]*(4-len(parts))+[int(p) for p in parts]
else:
if not s.isdigit() or len(s)>=8:
return None
d=s.zfill(8)
vals=[int(d[i:i+2]) for i in range(0,8,2)]
h,m,sec,f=vals
n=((h*60+m)*60+sec)*fps+f
n%=86400*fps
return '%02d:%02d:%02d:%02d'%(n//(3600*fps),n//(60*fps)%60,n//fps%60,n%fps)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: digit count limit', ['123456789', 25], None), ('regression variant: digit count limit', ['123456789', 30], None), ('partial repair probe: digit count limit', ['12345678', 30], '12:34:58:18'), ('partial repair variant: digit count limit', ['12345678', 25], '12:34:59:03'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['1:2', 25], '00:00:01:02'), ('normal control', ['59.10', 24], '00:00:59:10'), ('normal control', ['59.99', 24], '00:01:03:03')], [('regression: digit count limit', ['123456789', 24], None), ('regression variant: digit count limit', ['123456789', 25], None), ('partial repair probe: digit count limit', ['12345678', 24], '12:34:59:06'), ('partial repair variant: digit count limit', ['12345678', 30], '12:34:58:18'), ('boundary control', ['1:2', 25], '00:00:01:02'), ('boundary control', ['100', 25], '00:00:01:00'), ('normal control', ['100', 30], '00:00:01:00'), ('normal control', ['0:23:23', 24], '00:00:23:23'), ('normal control', ['10', 24], '00:00:00:10')], [('regression: digit count limit', ['123456789', 30], None), ('regression variant: digit count limit', ['123456789', 24], None), ('partial repair probe: digit count limit', ['23595924', 25], '23:59:59:24'), ('partial repair variant: digit count limit', ['12345678', 24], '12:34:59:06'), ('boundary control', ['99', 25], '00:00:03:24'), ('boundary control', ['1:2', 25], '00:00:01:02'), ('normal control', ['100', 24], '00:00:01:00'), ('normal control', ['30', 24], '00:00:01:06'), ('normal control', ['61:59:59:24:0', 25], None)], [('regression: digit count limit', ['123456789', 25], None), ('regression variant: digit count limit', ['123456789', 30], None), ('partial repair probe: digit count limit', ['12345678', 25], '12:34:59:03'), ('partial repair variant: digit count limit', ['23595924', 25], '23:59:59:24'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('boundary control', ['99', 25], '00:00:03:24'), ('normal control', ['1000', 24], '00:00:10:00'), ('normal control', ['23:30:30', 24], '00:23:31:06'), ('normal control', ['59.2', 24], '00:00:59:02')], [('regression: digit count limit', ['123456789', 24], None), ('regression variant: digit count limit', ['123456789', 25], None), ('partial repair probe: digit count limit', ['12345678', 30], '12:34:58:18'), ('partial repair variant: digit count limit', ['12345678', 25], '12:34:59:03'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['1:30:10', 30], '00:01:30:10'), ('normal control', ['x1', 25], None), ('normal control', ['59:59:2', 30], '00:59:59:02')]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: digit count limit | None | None | Passed |
| regression variant: digit count limit | None | None | Passed |
| partial repair probe: digit count limit | None | 12:34:58:18 | Failed |
| partial repair variant: digit count limit | None | 12:34:59:03 | Failed |
| boundary control | 00:00:01:00 | 00:00:01:00 | Passed |
| boundary control | 01:02:03:04 | 01:02:03:04 | Passed |
| normal control | 00:00:01:02 | 00:00:01:02 | Passed |
| normal control | 00:00:59:10 | 00:00:59:10 | Passed |
| normal control | 00:01:03:03 | 00:01:03:03 | Passed |
SHA-256 / 4a2e61c19b73fd93c6417903a9ac7cdf50ff95082b8f7c7378c3d0d5714c24bd
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(s, fps):
s=s.replace(';',':').replace('.',':')
if ':' in s:
parts=s.split(':')
if len(parts)>4 or not all(p.isdigit() for p in parts):
return None
vals=[0]*(4-len(parts))+[int(p) for p in parts]
else:
if not s.isdigit() or len(s)>8:
return None
d=s.zfill(8)
vals=[int(d[i:i+2]) for i in range(0,8,2)]
h,m,sec,f=vals
n=((h*60+m)*60+sec)*fps+f
n%=86400*fps
return '%02d:%02d:%02d:%02d'%(n//(3600*fps),n//(60*fps)%60,n//fps%60,n%fps)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: digit count limit', ['123456789', 25], None), ('regression variant: digit count limit', ['123456789', 30], None), ('partial repair probe: digit count limit', ['12345678', 30], '12:34:58:18'), ('partial repair variant: digit count limit', ['12345678', 25], '12:34:59:03'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['1:2', 25], '00:00:01:02'), ('normal control', ['59.10', 24], '00:00:59:10'), ('normal control', ['59.99', 24], '00:01:03:03')], [('regression: digit count limit', ['123456789', 24], None), ('regression variant: digit count limit', ['123456789', 25], None), ('partial repair probe: digit count limit', ['12345678', 24], '12:34:59:06'), ('partial repair variant: digit count limit', ['12345678', 30], '12:34:58:18'), ('boundary control', ['1:2', 25], '00:00:01:02'), ('boundary control', ['100', 25], '00:00:01:00'), ('normal control', ['100', 30], '00:00:01:00'), ('normal control', ['0:23:23', 24], '00:00:23:23'), ('normal control', ['10', 24], '00:00:00:10')], [('regression: digit count limit', ['123456789', 30], None), ('regression variant: digit count limit', ['123456789', 24], None), ('partial repair probe: digit count limit', ['23595924', 25], '23:59:59:24'), ('partial repair variant: digit count limit', ['12345678', 24], '12:34:59:06'), ('boundary control', ['99', 25], '00:00:03:24'), ('boundary control', ['1:2', 25], '00:00:01:02'), ('normal control', ['100', 24], '00:00:01:00'), ('normal control', ['30', 24], '00:00:01:06'), ('normal control', ['61:59:59:24:0', 25], None)], [('regression: digit count limit', ['123456789', 25], None), ('regression variant: digit count limit', ['123456789', 30], None), ('partial repair probe: digit count limit', ['12345678', 25], '12:34:59:03'), ('partial repair variant: digit count limit', ['23595924', 25], '23:59:59:24'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('boundary control', ['99', 25], '00:00:03:24'), ('normal control', ['1000', 24], '00:00:10:00'), ('normal control', ['23:30:30', 24], '00:23:31:06'), ('normal control', ['59.2', 24], '00:00:59:02')], [('regression: digit count limit', ['123456789', 24], None), ('regression variant: digit count limit', ['123456789', 25], None), ('partial repair probe: digit count limit', ['12345678', 30], '12:34:58:18'), ('partial repair variant: digit count limit', ['12345678', 25], '12:34:59:03'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['1:30:10', 30], '00:01:30:10'), ('normal control', ['x1', 25], None), ('normal control', ['59:59:2', 30], '00:59:59:02')]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: digit count limit | None | None | Passed |
| regression variant: digit count limit | None | None | Passed |
| partial repair probe: digit count limit | 12:34:58:18 | 12:34:58:18 | Passed |
| partial repair variant: digit count limit | 12:34:59:03 | 12:34:59:03 | Passed |
| boundary control | 00:00:01:00 | 00:00:01:00 | Passed |
| boundary control | 01:02:03:04 | 01:02:03:04 | Passed |
| normal control | 00:00:01:02 | 00:00:01:02 | Passed |
| normal control | 00:00:59:10 | 00:00:59:10 | Passed |
| normal control | 00:01:03:03 | 00:01:03:03 | Passed |
SHA-256 / f7dda46301ac888d94625d6ca2b26b07250a7b9e1c2bb434d1651796a0794235
Verification & scope
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.
Observations recorded using Python 3.12.14 at 2026-09-29T14:49:38.562161+00:00.
Case digest / 1f4601597e255cbf6a4fddff40bcaac817518530ed9aad7b4ca95f2c0cbf0eeb