FA-51321 / Raster clipping / Open access
Stroke component clip union: join crosses gap · case 01
Joins are added across inactive dash gaps.
ROOT CAUSE
Joins are added across inactive dash gaps.
THE FAILURE
Joins are added across inactive dash gaps.
Unsuccessful approach: Treating every closed-path adjacency as connected still bridges inactive closed dash gaps.
Case contract
Segments carry precomputed body, start-cap, end-cap and following-join sample sets plus an active flag. Active adjacent segments share a join and suppress interior caps. Inactive segments create dash gaps; each active component receives caps at its gap endpoints. A closed path connects the last and first segments. Empty bodies may still have cap coverage. Clip the complete union to the requested mask and target.
Why this case matters
Raster clip state can leak coverage across draws even when every individual region is valid.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
full=set(range(size))
out=[]
for segments,closed,clip in commands:
coverage=set()
count=len(segments)
for i,(body,start,end,join,active) in enumerate(segments):
if not active: continue
before=segments[i-1][4] if i>0 else (segments[-1][4] if closed and count else False)
after=segments[i+1][4] if i+1<count else (segments[0][4] if closed and count else False)
coverage.update(body)
if not before: coverage.update(start)
if not after: coverage.update(end)
if i+1<count or closed: coverage.update(join)
out.append(sorted(coverage & set(clip) & full))
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 4), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 4), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 4), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 4), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 4), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 4), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 4), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 4), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 4), [[0, 1, 2, 3]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 3]])
if N == 2:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 5), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 5), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 5), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 5), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 5), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 5), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 5), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 5), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 5), [[0, 1, 2, 3, 4]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 3]])
if N == 3:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 6), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 6), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 6), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 6), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 6), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 6), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 6), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 6), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 6), [[0, 1, 2, 3, 4, 5]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 3]])
if N == 4:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 7), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 7), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 7), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 7), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 7), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 7), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 7), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 7), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 7), [[0, 1, 2, 3, 4, 5, 6]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 3]])
if N == 5:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 8), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 8), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 8), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 8), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 8), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 8), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 8), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 8), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 8), [[0, 1, 2, 3, 4, 5, 6, 7]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 3]])
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 |
|---|---|---|---|
| explicit sequence 0 | [[]] | [[]] | Passed |
| explicit sequence 1 | [[0, 1]] | [[0, 1]] | Passed |
| explicit sequence 2 | [[1]] | [[1]] | Passed |
| explicit sequence 3 | [[0, 1]] | [[0, 1]] | Passed |
| explicit sequence 4 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 5 | [[0, 1, 2]] | [[0, 1]] | Failed |
| explicit sequence 6 | [[0, 1, 2]] | [[0, 1, 2]] | Passed |
| explicit sequence 7 | [[0, 1, 2]] | [[0, 1, 2]] | Passed |
| explicit sequence 8 | [[0, 2]] | [[0]] | Failed |
| explicit sequence 9 | [[0]] | [[0]] | Passed |
| explicit sequence 10 | [[]] | [[]] | Passed |
| explicit sequence 11 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 12 | [[0, 1, 3]] | [[0, 1, 3]] | Passed |
| explicit sequence 13 | [[0, 1, 3]] | [[0, 1, 3]] | Passed |
SHA-256 / 66aedc9b4c44007339943917d0cc0676867cad9df4ab0cc3cce2c3599f6a24c3
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
full=set(range(size))
out=[]
for segments,closed,clip in commands:
coverage=set()
count=len(segments)
for i,(body,start,end,join,active) in enumerate(segments):
if not active: continue
before=segments[i-1][4] if i>0 else (segments[-1][4] if closed and count else False)
after=segments[i+1][4] if i+1<count else (segments[0][4] if closed and count else False)
coverage.update(body)
if not before: coverage.update(start)
if not after: coverage.update(end)
if after or closed: coverage.update(join)
out.append(sorted(coverage & set(clip) & full))
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 4), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 4), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 4), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 4), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 4), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 4), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 4), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 4), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 4), [[0, 1, 2, 3]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 4), [[0, 1, 3]])
if N == 2:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 5), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 5), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 5), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 5), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 5), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 5), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 5), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 5), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 5), [[0, 1, 2, 3, 4]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 5), [[0, 1, 3]])
if N == 3:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 6), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 6), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 6), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 6), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 6), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 6), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 6), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 6), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 6), [[0, 1, 2, 3, 4, 5]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 6), [[0, 1, 3]])
if N == 4:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 7), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 7), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 7), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 7), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 7), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 7), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 7), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 7), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 7), [[0, 1, 2, 3, 4, 5, 6]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 7), [[0, 1, 3]])
if N == 5:
check('explicit sequence 0', solve([[[[[0], [1], [2], [3], False]], False, [0, 1, 2, 3]]], 8), [[]])
check('explicit sequence 1', solve([[[[[], [0], [1], [], True]], False, [0, 1, 2, 3]]], 8), [[0, 1]])
check('explicit sequence 2', solve([[[[[], [], [1], [], True]], False, [0, 1, 2, 3]]], 8), [[1]])
check('explicit sequence 3', solve([[[[[0], [2], [3], [1], True], [[1], [2], [3], [0], True]], True, [0, 1, 2, 3]]], 8), [[0, 1]])
check('explicit sequence 4', solve([[[[[0], [1], [2], [3], True], [[], [], [], [], False], [[1], [2], [3], [0], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 2, 3]])
check('explicit sequence 5', solve([[[[[0], [], [1], [2], True], [[], [], [], [], False], [[], [], [], [], False], [[], [], [], [], False]], False, [0, 1, 2, 3]]], 8), [[0, 1]])
check('explicit sequence 6', solve([[[[[0], [1], [2], [3], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 2]])
check('explicit sequence 7', solve([[[[[0], [], [], [2], True], [[1], [], [], [3], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 2]])
check('explicit sequence 8', solve([[[[[0], [], [], [2], True], [[], [], [], [], False]], True, [0, 1, 2, 3]]], 8), [[0]])
check('explicit sequence 9', solve([[[[[0, 1], [2], [3], [], True]], False, [0]]], 8), [[0]])
check('explicit sequence 10', solve([[[[[0, 1], [2], [3], [], True]], False, []]], 8), [[]])
check('explicit sequence 11', solve([[[[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], [], [], True]], False, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]]], 8), [[0, 1, 2, 3, 4, 5, 6, 7]])
check('explicit sequence 12', solve([[[[[0], [], [], [], True], [[], [], [], [], False], [[1], [3], [], [], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 3]])
check('explicit sequence 13', solve([[[[[0], [1], [2], [3], True], [[0], [], [], [], True]], False, [0, 1, 2, 3]]], 8), [[0, 1, 3]])
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 |
|---|---|---|---|
| explicit sequence 0 | [[]] | [[]] | Passed |
| explicit sequence 1 | [[0, 1]] | [[0, 1]] | Passed |
| explicit sequence 2 | [[1]] | [[1]] | Passed |
| explicit sequence 3 | [[0, 1]] | [[0, 1]] | Passed |
| explicit sequence 4 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 5 | [[0, 1]] | [[0, 1]] | Passed |
| explicit sequence 6 | [[0, 1, 2]] | [[0, 1, 2]] | Passed |
| explicit sequence 7 | [[0, 1, 2]] | [[0, 1, 2]] | Passed |
| explicit sequence 8 | [[0, 2]] | [[0]] | Failed |
| explicit sequence 9 | [[0]] | [[0]] | Passed |
| explicit sequence 10 | [[]] | [[]] | Passed |
| explicit sequence 11 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 12 | [[0, 1, 3]] | [[0, 1, 3]] | Passed |
| explicit sequence 13 | [[0, 1, 3]] | [[0, 1, 3]] | Passed |
SHA-256 / 181057c72b2bae9d218806dd2355f0f937693507243629388c1386b93c2ab54d
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 14 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
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Sign in to the archive ↗Verification & scope
Finite one-dimensional integer sample sets model coverage state only; no geometric intersection, memory layout, GPU or graphics-standard conformance is claimed. 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 2026-09-29T14:45:17.779668+00:00.
Case digest / 198e5bc0301abd7de967d06cd3b7c9c1da2841509da48a25007de16d2dd4f296