FA-95011 / Warehouse slotting and bin packing / Open access
Hazmat audit: class rules ignore divisions · case 01
A rule written for a whole hazard class misses products labelled with a division of that class.
ROOT CAUSE
Class matching is exact, so rule "4" does not match division "4.3".
VERIFIED REPAIR
Match a rule class when the hazard class equals it or is one of its divisions.
Unsuccessful approach: Reversing the division test matches a division rule against a whole class, which is the wrong direction.
Case contract
placements [[sku, hazard class, aisle, bay]]; rules [[class_a, class_b, min_bay_gap]] apply in either order within the same aisle. A rule class matches a hazard class equal to it or a division of it ("4" matches "4.1"). A pair violates when |bay difference| < min_gap. Different SKUs only. Return sorted unique [sku_low, sku_high] pairs.
Why this case matters
Dangerous goods storage requires separation between incompatible hazard classes.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(placements, rules):
def matches(cls, rule):
return cls == rule
found = set()
n = len(placements)
for i in range(n):
for j in range(i + 1, n):
sa, ca, aa, ba = placements[i]
sb, cb, ab, bb = placements[j]
if sa == sb or aa != ab:
continue
gap = abs(ba - bb)
for ra, rb, min_gap in rules:
hit = (matches(ca, ra) and matches(cb, rb)) or (matches(ca, rb) and matches(cb, ra))
if hit and gap < min_gap:
found.add(tuple(sorted([sa, sb])))
return [list(p) for p in sorted(found)]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 6', [[['H0', '2.1', 1, 4], ['H1', '9', 1, 1]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 14', [[['H0', '3', 1, 5], ['H1', '2.1', 2, 4], ['H2', '9', 2, 1], ['H3', '4.3', 1, 6], ['H0', '3', 1, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 77', [[['H0', '8', 1, 4], ['H1', '4.3', 1, 3], ['H2', '4.1', 1, 4], ['H3', '9', 1, 6], ['H4', '8', 1, 4], ['H5', '3', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H0', 'H2'], ['H2', 'H4']]], ['same class rule', [[['P', '5.2', 1, 3], ['Q', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['P', 'Q']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 9', [[['H0', '9', 1, 6], ['H1', '5.1', 1, 6], ['H2', '4.1', 1, 6], ['H3', '4.1', 1, 2], ['H4', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 17', [[['H0', '8', 1, 5], ['H1', '9', 2, 6], ['H2', '4.3', 1, 3], ['H3', '4.1', 1, 1], ['H4', '9', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 40', [[['H0', '9', 2, 6], ['H1', '5.1', 1, 6], ['H2', '2.1', 2, 4], ['H3', '5.2', 2, 3], ['H4', '4.1', 1, 1], ['H5', '4.3', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H2', 'H3']]], ['two pairs', [[['A', '3', 1, 1], ['Z', '5.1', 1, 2], ['B', '3', 1, 5], ['C', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['A', 'Z'], ['B', 'C']]], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same class rule', [[['P', '5.2', 1, 3], ['Q', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['P', 'Q']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['generated mix 20', [[['H0', '8', 1, 5], ['H1', '5.2', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 28', [[['H0', '4.3', 2, 3], ['H1', '5.1', 1, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 16', [[['H0', '5.2', 1, 6], ['H1', '4.1', 1, 5], ['H2', '2.1', 1, 2], ['H3', '5.1', 1, 1], ['H4', '5.1', 1, 1], ['H5', '8', 2, 5], ['H0', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H0', 'H2'], ['H2', 'H3'], ['H2', 'H4']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['two pairs', [[['A', '3', 1, 1], ['Z', '5.1', 1, 2], ['B', '3', 1, 5], ['C', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['A', 'Z'], ['B', 'C']]], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 32', [[['H0', '9', 1, 1], ['H1', '8', 2, 6], ['H2', '4.3', 2, 4], ['H3', '4.3', 2, 4], ['H4', '4.3', 2, 3], ['H0', '9', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 40', [[['H0', '9', 2, 6], ['H1', '5.1', 1, 6], ['H2', '2.1', 2, 4], ['H3', '5.2', 2, 3], ['H4', '4.1', 1, 1], ['H5', '4.3', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H2', 'H3']]]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 42', [[['H0', '8', 2, 1], ['H1', '3', 2, 6], ['H2', '3', 1, 5], ['H3', '5.2', 2, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 50', [[['H0', '8', 1, 2], ['H1', '2.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 58', [[['H0', '8', 1, 2], ['H1', '2.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| division match | [] | [['C', 'W']] | Failed |
| reverse order | [] | [['G', 'O']] | Failed |
| adjacent oxidizer | [['F', 'O']] | [['F', 'O']] | Passed |
| other aisle | [] | [] | Passed |
| same sku twice | [] | [] | Passed |
| gap equal ok | [] | [] | Passed |
| generated mix 6 | [] | [] | Passed |
| generated mix 14 | [] | [] | Passed |
SHA-256 / 6cd3fe60077492dee69bac327e83574ec5e35a393799efccc681e4bcfab86d81
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(placements, rules):
def matches(cls, rule):
return rule == cls or rule.startswith(cls + '.')
found = set()
n = len(placements)
for i in range(n):
for j in range(i + 1, n):
sa, ca, aa, ba = placements[i]
sb, cb, ab, bb = placements[j]
if sa == sb or aa != ab:
continue
gap = abs(ba - bb)
for ra, rb, min_gap in rules:
hit = (matches(ca, ra) and matches(cb, rb)) or (matches(ca, rb) and matches(cb, ra))
if hit and gap < min_gap:
found.add(tuple(sorted([sa, sb])))
return [list(p) for p in sorted(found)]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 6', [[['H0', '2.1', 1, 4], ['H1', '9', 1, 1]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 14', [[['H0', '3', 1, 5], ['H1', '2.1', 2, 4], ['H2', '9', 2, 1], ['H3', '4.3', 1, 6], ['H0', '3', 1, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 77', [[['H0', '8', 1, 4], ['H1', '4.3', 1, 3], ['H2', '4.1', 1, 4], ['H3', '9', 1, 6], ['H4', '8', 1, 4], ['H5', '3', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H0', 'H2'], ['H2', 'H4']]], ['same class rule', [[['P', '5.2', 1, 3], ['Q', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['P', 'Q']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 9', [[['H0', '9', 1, 6], ['H1', '5.1', 1, 6], ['H2', '4.1', 1, 6], ['H3', '4.1', 1, 2], ['H4', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 17', [[['H0', '8', 1, 5], ['H1', '9', 2, 6], ['H2', '4.3', 1, 3], ['H3', '4.1', 1, 1], ['H4', '9', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 40', [[['H0', '9', 2, 6], ['H1', '5.1', 1, 6], ['H2', '2.1', 2, 4], ['H3', '5.2', 2, 3], ['H4', '4.1', 1, 1], ['H5', '4.3', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H2', 'H3']]], ['two pairs', [[['A', '3', 1, 1], ['Z', '5.1', 1, 2], ['B', '3', 1, 5], ['C', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['A', 'Z'], ['B', 'C']]], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same class rule', [[['P', '5.2', 1, 3], ['Q', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['P', 'Q']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['generated mix 20', [[['H0', '8', 1, 5], ['H1', '5.2', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 28', [[['H0', '4.3', 2, 3], ['H1', '5.1', 1, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 16', [[['H0', '5.2', 1, 6], ['H1', '4.1', 1, 5], ['H2', '2.1', 1, 2], ['H3', '5.1', 1, 1], ['H4', '5.1', 1, 1], ['H5', '8', 2, 5], ['H0', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H0', 'H2'], ['H2', 'H3'], ['H2', 'H4']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['two pairs', [[['A', '3', 1, 1], ['Z', '5.1', 1, 2], ['B', '3', 1, 5], ['C', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['A', 'Z'], ['B', 'C']]], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 32', [[['H0', '9', 1, 1], ['H1', '8', 2, 6], ['H2', '4.3', 2, 4], ['H3', '4.3', 2, 4], ['H4', '4.3', 2, 3], ['H0', '9', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 40', [[['H0', '9', 2, 6], ['H1', '5.1', 1, 6], ['H2', '2.1', 2, 4], ['H3', '5.2', 2, 3], ['H4', '4.1', 1, 1], ['H5', '4.3', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H2', 'H3']]]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 42', [[['H0', '8', 2, 1], ['H1', '3', 2, 6], ['H2', '3', 1, 5], ['H3', '5.2', 2, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 50', [[['H0', '8', 1, 2], ['H1', '2.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 58', [[['H0', '8', 1, 2], ['H1', '2.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| division match | [] | [['C', 'W']] | Failed |
| reverse order | [] | [['G', 'O']] | Failed |
| adjacent oxidizer | [['F', 'O']] | [['F', 'O']] | Passed |
| other aisle | [] | [] | Passed |
| same sku twice | [] | [] | Passed |
| gap equal ok | [] | [] | Passed |
| generated mix 6 | [] | [] | Passed |
| generated mix 14 | [] | [] | Passed |
SHA-256 / a55f553b7485f70875256a4ef99c8543ce6f7096ad568b4166fafbc7d0f06c23
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(placements, rules):
def matches(cls, rule):
return cls == rule or cls.startswith(rule + '.')
found = set()
n = len(placements)
for i in range(n):
for j in range(i + 1, n):
sa, ca, aa, ba = placements[i]
sb, cb, ab, bb = placements[j]
if sa == sb or aa != ab:
continue
gap = abs(ba - bb)
for ra, rb, min_gap in rules:
hit = (matches(ca, ra) and matches(cb, rb)) or (matches(ca, rb) and matches(cb, ra))
if hit and gap < min_gap:
found.add(tuple(sorted([sa, sb])))
return [list(p) for p in sorted(found)]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 6', [[['H0', '2.1', 1, 4], ['H1', '9', 1, 1]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 14', [[['H0', '3', 1, 5], ['H1', '2.1', 2, 4], ['H2', '9', 2, 1], ['H3', '4.3', 1, 6], ['H0', '3', 1, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 77', [[['H0', '8', 1, 4], ['H1', '4.3', 1, 3], ['H2', '4.1', 1, 4], ['H3', '9', 1, 6], ['H4', '8', 1, 4], ['H5', '3', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H0', 'H2'], ['H2', 'H4']]], ['same class rule', [[['P', '5.2', 1, 3], ['Q', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['P', 'Q']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 9', [[['H0', '9', 1, 6], ['H1', '5.1', 1, 6], ['H2', '4.1', 1, 6], ['H3', '4.1', 1, 2], ['H4', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 17', [[['H0', '8', 1, 5], ['H1', '9', 2, 6], ['H2', '4.3', 1, 3], ['H3', '4.1', 1, 1], ['H4', '9', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 40', [[['H0', '9', 2, 6], ['H1', '5.1', 1, 6], ['H2', '2.1', 2, 4], ['H3', '5.2', 2, 3], ['H4', '4.1', 1, 1], ['H5', '4.3', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H2', 'H3']]], ['two pairs', [[['A', '3', 1, 1], ['Z', '5.1', 1, 2], ['B', '3', 1, 5], ['C', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['A', 'Z'], ['B', 'C']]], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same class rule', [[['P', '5.2', 1, 3], ['Q', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['P', 'Q']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['generated mix 20', [[['H0', '8', 1, 5], ['H1', '5.2', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 28', [[['H0', '4.3', 2, 3], ['H1', '5.1', 1, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['generated mix 16', [[['H0', '5.2', 1, 6], ['H1', '4.1', 1, 5], ['H2', '2.1', 1, 2], ['H3', '5.1', 1, 1], ['H4', '5.1', 1, 1], ['H5', '8', 2, 5], ['H0', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H0', 'H2'], ['H2', 'H3'], ['H2', 'H4']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['two pairs', [[['A', '3', 1, 1], ['Z', '5.1', 1, 2], ['B', '3', 1, 5], ['C', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['A', 'Z'], ['B', 'C']]], ['gap equal ok', [[['F', '3', 1, 4], ['O', '5.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 32', [[['H0', '9', 1, 1], ['H1', '8', 2, 6], ['H2', '4.3', 2, 4], ['H3', '4.3', 2, 4], ['H4', '4.3', 2, 3], ['H0', '9', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 40', [[['H0', '9', 2, 6], ['H1', '5.1', 1, 6], ['H2', '2.1', 2, 4], ['H3', '5.2', 2, 3], ['H4', '4.1', 1, 1], ['H5', '4.3', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['H2', 'H3']]]], [['division match', [[['W', '4.3', 2, 2], ['C', '8', 2, 2]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['C', 'W']]], ['reverse order', [[['O', '5.1', 1, 1], ['G', '2.1', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['G', 'O']]], ['adjacent oxidizer', [[['F', '3', 1, 4], ['O', '5.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], [['F', 'O']]], ['other aisle', [[['F', '3', 1, 4], ['O', '5.1', 2, 4]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['same sku twice', [[['P', '5.2', 1, 3], ['P', '5.2', 1, 3]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 42', [[['H0', '8', 2, 1], ['H1', '3', 2, 6], ['H2', '3', 1, 5], ['H3', '5.2', 2, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 50', [[['H0', '8', 1, 2], ['H1', '2.1', 1, 6]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []], ['generated mix 58', [[['H0', '8', 1, 2], ['H1', '2.1', 1, 5]], [['3', '5.1', 2], ['4', '8', 1], ['5.2', '5.2', 1], ['2.1', '5', 3]]], []]]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| division match | [['C', 'W']] | [['C', 'W']] | Passed |
| reverse order | [['G', 'O']] | [['G', 'O']] | Passed |
| adjacent oxidizer | [['F', 'O']] | [['F', 'O']] | Passed |
| other aisle | [] | [] | Passed |
| same sku twice | [] | [] | Passed |
| gap equal ok | [] | [] | Passed |
| generated mix 6 | [] | [] | Passed |
| generated mix 14 | [] | [] | Passed |
SHA-256 / 38d51e3474b2dabd908c10e9f7f1147ba4f3ae7d0e5c21326dfc459187b58d64
Verification & scope
Stipulated bay-gap rule table; not a regulatory segregation chart. 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 2026-09-29T14:52:09.800781+00:00.
Case digest / 4dfba30676569afdc42d48ef32230758a2aa2cb4b869e535211b895fc0b266c4