FA-51521 / Raster clipping / Open access
Ranked alpha clip coverage: geometry combine · case 01
Geometric coverage is unioned with alpha coverage instead of constraining it.
ROOT CAUSE
Geometric coverage is unioned with alpha coverage instead of constraining it.
THE FAILURE
Geometric coverage is unioned with alpha coverage instead of constraining it.
Unsuccessful approach: Unioning the enabled shader samples bypasses both geometric and alpha coverage.
Case contract
Each command supplies alpha numerator over denominator, a permutation ranking the physical samples, rotation, geometric sample mask, fixed enable mask and optional shader mask. Alpha selects floor(alpha*size) ranks, clamped to [0,size]; alpha-disabled commands select all ranks. Rotate selected physical sample IDs modulo size, then intersect masks. A missing shader mask passes all samples; an explicit empty mask passes none. Return sorted surviving sample IDs.
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):
out=[]
full=set(range(size))
for numerator,denominator,rank,rotation,geometry,enabled,shader,alpha_enabled in commands:
count=max(0,min(size,(numerator*size)//denominator)) if alpha_enabled else size
ordering=[x for x in rank if x in full]
selected={ordering[i] for i in range(min(count,len(ordering)))}
selected={(x+rotation)%size for x in selected}
geometric=set(geometry)&full
fixed=set(enabled)&full
shader_mask=full if shader is None else set(shader)&full
out.append(sorted((selected | geometric) & fixed & shader_mask))
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([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 1]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 1]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[3]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[1, 2]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 3]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 4), [[0, 1, 2, 3]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 4), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 4), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 1, 2, 3]])
if N == 2:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 1]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 1, 2]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[4]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[1, 2]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 4]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 5), [[0, 1, 2, 3, 4]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 5), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 5), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 1, 2, 3, 4]])
if N == 3:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 2]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 2, 3]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[4, 5]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[1, 2, 3]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 5]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 6), [[0, 1, 2, 3, 4, 5]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 6), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 6), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 2, 3, 4, 5]])
if N == 4:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 2]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 2, 3]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[5, 6]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[1, 2, 3]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 6]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 7), [[0, 1, 2, 3, 4, 5, 6]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 7), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 7), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 2, 3, 4, 5, 6]])
if N == 5:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 3]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 3, 4]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[6, 7]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[1, 2, 3, 4]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 7]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 8), [[0, 1, 2, 3, 4, 5, 6, 7]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 8), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 8), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 3, 4, 5, 6, 7]])
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 | [[0, 1, 2, 3]] | [[0, 1]] | Failed |
| explicit sequence 1 | [[0, 1, 2, 3]] | [[]] | Failed |
| explicit sequence 2 | [[0, 1, 2, 3]] | [[0, 1]] | Failed |
| explicit sequence 3 | [[0, 1, 2, 3]] | [[3]] | Failed |
| explicit sequence 4 | [[0, 1, 2, 3]] | [[1, 2]] | Failed |
| explicit sequence 5 | [[0, 1, 2, 3]] | [[0, 3]] | Failed |
| explicit sequence 6 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 7 | [[]] | [[]] | Passed |
| explicit sequence 8 | [[0, 1]] | [[]] | Failed |
| explicit sequence 9 | [[]] | [[]] | Passed |
| explicit sequence 10 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
SHA-256 / f46219a6f06b3817158ca7bcd355a1be5445105531ef5faaff01b96226800ae0
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
out=[]
full=set(range(size))
for numerator,denominator,rank,rotation,geometry,enabled,shader,alpha_enabled in commands:
count=max(0,min(size,(numerator*size)//denominator)) if alpha_enabled else size
ordering=[x for x in rank if x in full]
selected={ordering[i] for i in range(min(count,len(ordering)))}
selected={(x+rotation)%size for x in selected}
geometric=set(geometry)&full
fixed=set(enabled)&full
shader_mask=full if shader is None else set(shader)&full
out.append(sorted(selected & geometric | (fixed & shader_mask)))
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([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 1]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 1]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[3]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[1, 2]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 3]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 4), [[0, 1, 2, 3]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 4), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 4), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 4), [[0, 1, 2, 3]])
if N == 2:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 1]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 1, 2]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[4]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[1, 2]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 4]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 5), [[0, 1, 2, 3, 4]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 5), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 5), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 5), [[0, 1, 2, 3, 4]])
if N == 3:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 2]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 2, 3]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[4, 5]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[1, 2, 3]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 5]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 6), [[0, 1, 2, 3, 4, 5]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 6), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 6), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 6), [[0, 1, 2, 3, 4, 5]])
if N == 4:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 2]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 2, 3]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[5, 6]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[1, 2, 3]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 6]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 7), [[0, 1, 2, 3, 4, 5, 6]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 7), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 7), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 7), [[0, 1, 2, 3, 4, 5, 6]])
if N == 5:
check('explicit sequence 0', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 3]])
check('explicit sequence 1', solve([[1, 7, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0]])
check('explicit sequence 2', solve([[2, 3, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 3, 4]])
check('explicit sequence 3', solve([[1, 3, [9, 8, 7, 6, 5, 4, 3, 2, 1, 0], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[6, 7]])
check('explicit sequence 4', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[1, 2, 3, 4]])
check('explicit sequence 5', solve([[1, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], -1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 7]])
check('explicit sequence 6', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, False]], 8), [[0, 1, 2, 3, 4, 5, 6, 7]])
check('explicit sequence 7', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [], True]], 8), [[]])
check('explicit sequence 8', solve([[0, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[]])
check('explicit sequence 9', solve([[1, 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0], [1], True]], 8), [[]])
check('explicit sequence 10', solve([[3, 2, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 0, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], None, True]], 8), [[0, 1, 2, 3, 4, 5, 6, 7]])
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 | [[0, 1, 2, 3]] | [[0, 1]] | Failed |
| explicit sequence 1 | [[0, 1, 2, 3]] | [[]] | Failed |
| explicit sequence 2 | [[0, 1, 2, 3]] | [[0, 1]] | Failed |
| explicit sequence 3 | [[0, 1, 2, 3]] | [[3]] | Failed |
| explicit sequence 4 | [[0, 1, 2, 3]] | [[1, 2]] | Failed |
| explicit sequence 5 | [[0, 1, 2, 3]] | [[0, 3]] | Failed |
| explicit sequence 6 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 7 | [[0, 1, 2, 3]] | [[]] | Failed |
| explicit sequence 8 | [[0, 1, 2, 3]] | [[]] | Failed |
| explicit sequence 9 | [[0, 1, 2, 3]] | [[]] | Failed |
| explicit sequence 10 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
SHA-256 / c82d780b67545b3636ec9778fcdfa5ea66037c678743a13537c487c9245f5259
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 11 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.
Member access is invitation-based. Sign in with your invited account to inspect the repair.
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 2026-09-29T14:45:19.780828+00:00.
Case digest / e91e377a8f2ca51ff21d2a2874b8e5e8ef1cd19ddbd2751eba30319dfce17fef