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FA-50581 / Raster clipping / Open access

Multisample clip resolve: strict tie · case 01

Strict weighted majority includes exact ties.

Verified by executionVariant 1 · 11 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Strict weighted majority includes exact ties.

THE FAILURE

Strict weighted majority includes exact ties.

Unsuccessful approach: Rejecting zero-total masks still admits nonzero exact ties.

Case contract

Each command defines a pixel with a list of per-sample clip bits and an equally long integer weight list. Modes return any/all/parity/weighted majority. Invert precedes resolve; disabled samples do not participate. An empty enabled set never covers. Rotation permutes the bits before enabled lanes are selected.

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=[]
    for cmd in commands:
        bits,weights,enabled,mode,invert,rotation=cmd
        count=len(bits)
        rotation=rotation%count if count else 0
        rotated=bits[-rotation:]+bits[:-rotation] if rotation else list(bits)
        chosen=[(bool(rotated[i]) ^ invert,weights[i]) for i in range(count) if i in enabled]
        if not chosen: out.append(False); continue
        hits=sum(1 for bit,weight in chosen if bit)
        total=sum(weight for bit,weight in chosen)
        covered=sum(weight for bit,weight in chosen if bit)
        if mode=='any': answer=hits>0
        elif mode=='all': answer=hits==len(chosen)
        elif mode=='parity': answer=hits%2==1
        elif mode=='majority': answer=covered*2>=total and total>0
        elif mode=='strict': answer=covered*2>=total
        elif mode=='first': answer=chosen[0][0]
        else: answer=chosen[-1][0]
        out.append(answer)
    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, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 4), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 4), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 4), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 4), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 4), [True])
if N == 2:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 5), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 5), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 5), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 5), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 5), [True])
if N == 3:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 6), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 6), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 6), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 6), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 6), [True])
if N == 4:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 7), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 7), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 7), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 7), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 7), [True])
if N == 5:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 8), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 8), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 8), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 8), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 8), [True])
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 fixtureActualExpectedOutcome
explicit sequence 0[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 1[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 2[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 3[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 4[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 5[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 6[False][False]Passed
explicit sequence 7[True][True]Passed
explicit sequence 8[True][True]Passed
explicit sequence 9[False][False]Passed
explicit sequence 10[True][True]Passed

SHA-256 / ede0cff3eb6e065f34b79b6a8c875a33f413c09812f8b02c088a91f5b2d92de6

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(commands, size):
    out=[]
    for cmd in commands:
        bits,weights,enabled,mode,invert,rotation=cmd
        count=len(bits)
        rotation=rotation%count if count else 0
        rotated=bits[-rotation:]+bits[:-rotation] if rotation else list(bits)
        chosen=[(bool(rotated[i]) ^ invert,weights[i]) for i in range(count) if i in enabled]
        if not chosen: out.append(False); continue
        hits=sum(1 for bit,weight in chosen if bit)
        total=sum(weight for bit,weight in chosen)
        covered=sum(weight for bit,weight in chosen if bit)
        if mode=='any': answer=hits>0
        elif mode=='all': answer=hits==len(chosen)
        elif mode=='parity': answer=hits%2==1
        elif mode=='majority': answer=covered*2>=total and total>0
        elif mode=='strict': answer=covered*2>=total and total>0
        elif mode=='first': answer=chosen[0][0]
        else: answer=chosen[-1][0]
        out.append(answer)
    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, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 4), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 4), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 4), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 4), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 4), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 4), [True])
if N == 2:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 5), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 5), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 5), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 5), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 5), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 5), [True])
if N == 3:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 6), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 6), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 6), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 6), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 6), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 6), [True])
if N == 4:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 7), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 7), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 7), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 7), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 7), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 7), [True])
if N == 5:
    check('explicit sequence 0', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 1', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 2', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 3', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 4', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 5', solve([[[1, 0, 0, 1], [1, 2, 4, 8], [0], 'any', False, 1], [[1, 0], [1, 1], [0, 1], 'any', True, 0], [[0, 1], [1, 1], [1], 'all', False, 0], [[1, 1], [1, 1], [], 'all', False, 0], [[1, 0], [4, 20], [0], 'majority', False, 0], [[1, 0], [4, 1], [0, 1], 'majority', False, 0], [[1, 1], [1, 1], [0, 1], 'parity', False, 0], [[1, 0], [1, 1], [0, 1], 'strict', False, 0], [[0, 1], [1, 1], [1], 'first', False, 0], [[0, 0], [1, 1], [0, 1], 'last', False, 0]], 8), [True, True, True, False, True, True, False, False, True, False])
    check('explicit sequence 6', solve([[[1, 0], [1, 8], [0, 1], 'majority', False, 0]], 8), [False])
    check('explicit sequence 7', solve([[[1, 0], [1, 1], [0, 0], 'all', False, 0]], 8), [True])
    check('explicit sequence 8', solve([[[1, 1, 1], [1, 1, 1], [0, 1, 2], 'parity', False, 0]], 8), [True])
    check('explicit sequence 9', solve([[[0, 1], [1, 1], [0, 1], 'first', False, 0]], 8), [False])
    check('explicit sequence 10', solve([[[0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 4, 6], 'any', False, 1]], 8), [True])
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 fixtureActualExpectedOutcome
explicit sequence 0[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 1[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 2[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 3[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 4[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 5[True, True, True, False, True, True, False, True, True, False][True, True, True, False, True, True, False, False, True, False]Failed
explicit sequence 6[False][False]Passed
explicit sequence 7[True][True]Passed
explicit sequence 8[True][True]Passed
explicit sequence 9[False][False]Passed
explicit sequence 10[True][True]Passed

SHA-256 / be8ef6d440d5f653b7ebbce909425a2a14b6757fa69498415514297f2b73f093

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.

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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 2026-09-29T14:45:10.557733+00:00.

Case digest / 5b79a49065986c3e65007f22635cfaed36967604496aecbf5ec2eb084b8fc56d