FA-51496 / Raster clipping / Open access
Ranked alpha clip coverage: rank tail · case 01
Alpha covers the last ranks instead of the first ranks.
ROOT CAUSE
Alpha covers the last ranks instead of the first ranks.
VERIFIED REPAIR
Apply the documented state transition at rank tail. 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.
Unsuccessful approach: Selecting the tail in forward order still chooses the wrong ranked sample set.
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[-1-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 | [[2, 3]] | [[0, 1]] | Failed |
| explicit sequence 1 | [[]] | [[]] | Passed |
| explicit sequence 2 | [[2, 3]] | [[0, 1]] | Failed |
| explicit sequence 3 | [[0]] | [[3]] | Failed |
| explicit sequence 4 | [[0, 3]] | [[1, 2]] | Failed |
| explicit sequence 5 | [[1, 2]] | [[0, 3]] | Failed |
| explicit sequence 6 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 7 | [[]] | [[]] | Passed |
| explicit sequence 8 | [[]] | [[]] | Passed |
| explicit sequence 9 | [[]] | [[]] | Passed |
| explicit sequence 10 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
SHA-256 / cb5ff29174aa8fd3d276c246446dcb078b047cb1ab91912f8f476356a0156fed
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(max(0,len(ordering)-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 | [[2, 3]] | [[0, 1]] | Failed |
| explicit sequence 1 | [[]] | [[]] | Passed |
| explicit sequence 2 | [[2, 3]] | [[0, 1]] | Failed |
| explicit sequence 3 | [[0]] | [[3]] | Failed |
| explicit sequence 4 | [[0, 3]] | [[1, 2]] | Failed |
| explicit sequence 5 | [[1, 2]] | [[0, 3]] | Failed |
| explicit sequence 6 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 7 | [[]] | [[]] | Passed |
| explicit sequence 8 | [[]] | [[]] | Passed |
| explicit sequence 9 | [[]] | [[]] | Passed |
| explicit sequence 10 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
SHA-256 / dc30d2cef47fc482b04ce07d12cb75c52ebbe339082eaa0b22ed27e141122d4c
3 / The verified repair
Exit 0"""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]] | [[0, 1]] | Passed |
| explicit sequence 1 | [[]] | [[]] | Passed |
| explicit sequence 2 | [[0, 1]] | [[0, 1]] | Passed |
| explicit sequence 3 | [[3]] | [[3]] | Passed |
| explicit sequence 4 | [[1, 2]] | [[1, 2]] | Passed |
| explicit sequence 5 | [[0, 3]] | [[0, 3]] | Passed |
| explicit sequence 6 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
| explicit sequence 7 | [[]] | [[]] | Passed |
| explicit sequence 8 | [[]] | [[]] | Passed |
| explicit sequence 9 | [[]] | [[]] | Passed |
| explicit sequence 10 | [[0, 1, 2, 3]] | [[0, 1, 2, 3]] | Passed |
SHA-256 / 033f1e3ebc473955488a6dd6c4c41fba31ef39962f63c452285ee420d8a9543b
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 2026-09-29T14:45:19.484814+00:00.
Case digest / bbb0c48ad2e7660e0bab931907f37e4552e804ea21f720f1f9aebd36d39221e2