{"abstract":"A single empty slot swallows any quantity.","category":"Game economy crafting balance","checks":8,"contract":"slots = list of None or [name, count]; names are case sensitive. First top up partial stacks (count < max_stack) of the same item in slot order, then fill empty slots in order with new stacks of at most max_stack. Reserved placeholders [name, 0] count as partial stacks. Legacy stacks above max_stack are left untouched. Returns {slots, leftover}.","evaluation_group":"w2-game-economy-crafting-balance-inventory-stacking","failed_approach":"Capping one below max leaves new stacks short.","family":"w2-game-economy-crafting-balance-inventory-stacking-new-stack-size","id":"FA-86186","implementations":{"attempt":{"sha256":"26495e4e1a1f0e8cec16f43f1f3c1c32c42c107452a98a9aeeab839645339409","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, item, qty, max_stack):\n    slots = [s if s is None else list(s) for s in slots]\n    left = qty\n    for s in slots:\n        if left == 0:\n            break\n        if s is not None and s[0] == item and s[1] < max_stack:\n            add = min(left, max_stack - s[1])\n            s[1] += add\n            left -= add\n    for i in range(len(slots)):\n        if left == 0:\n            break\n        if slots[i] is None:\n            add = min(left, max_stack - 1)\n            slots[i] = [item, add]\n            left -= add\n    return {'slots': slots, 'leftover': left}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('regression new stack size #1',\n   [[None, ['Arrow', 16], ['arrow', 20], None, ['Arrow', 25], None], 'Potion', 20, 10],\n   {'slots': [['Potion', 10], ['Arrow', 16], ['arrow', 20], ['Potion', 10], ['Arrow', 25], None],\n    'leftover': 0}),\n  ('regression new stack size #2',\n   [[['Potion', 20], None, ['Arrow', 13], ['arrow', 20]], 'Potion', 20, 5],\n   {'slots': [['Potion', 20], ['Potion', 5], ['Arrow', 13], ['arrow', 20]], 'leftover': 15}),\n  ('regression new stack size #3',\n   [[['Arrow', 5], None], 'arrow', 45, 10],\n   {'slots': [['Arrow', 5], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #4',\n   [[None, ['arrow', 5], None, None], 'arrow', 45, 10],\n   {'slots': [['arrow', 10], ['arrow', 10], ['arrow', 10], ['arrow', 10]], 'leftover': 10}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('control #1',\n   [[['Arrow', 6], None, ['arrow', 5]], 'Potion', 0, 20],\n   {'slots': [['Arrow', 6], None, ['arrow', 5]], 'leftover': 0})],\n [('regression new stack size #1',\n   [[['Arrow', 5], None], 'arrow', 45, 10],\n   {'slots': [['Arrow', 5], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #2',\n   [[None, ['arrow', 5], None, None], 'arrow', 45, 10],\n   {'slots': [['arrow', 10], ['arrow', 10], ['arrow', 10], ['arrow', 10]], 'leftover': 10}),\n  ('regression new stack size #3',\n   [[None, ['arrow', 5], None], 'Arrow', 20, 5],\n   {'slots': [['Arrow', 5], ['arrow', 5], ['Arrow', 5]], 'leftover': 10}),\n  ('regression new stack size #4', [[None], 'Arrow', 45, 10], {'slots': [['Arrow', 10]], 'leftover': 35}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('control #1',\n   [[['Arrow', 6], None, ['arrow', 5]], 'Potion', 0, 20],\n   {'slots': [['Arrow', 6], None, ['arrow', 5]], 'leftover': 0}),\n  ('control #2', [[['Potion', 0]], 'Arrow', 45, 5], {'slots': [['Potion', 0]], 'leftover': 45})],\n [('regression new stack size #1',\n   [[None, ['arrow', 5], None], 'Arrow', 20, 5],\n   {'slots': [['Arrow', 5], ['arrow', 5], ['Arrow', 5]], 'leftover': 10}),\n  ('regression new stack size #2', [[None], 'Arrow', 45, 10], {'slots': [['Arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #3', [[None], 'Arrow', 20, 5], {'slots': [['Arrow', 5]], 'leftover': 15}),\n  ('regression new stack size #4',\n   [[['Potion', 25], None], 'arrow', 45, 10],\n   {'slots': [['Potion', 25], ['arrow', 10]], 'leftover': 35}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('control #1', [[['Potion', 0]], 'Arrow', 45, 5], {'slots': [['Potion', 0]], 'leftover': 45}),\n  ('control #2',\n   [[['arrow', 0], ['arrow', 19], None, ['arrow', 20], None, None], 'Arrow', 0, 5],\n   {'slots': [['arrow', 0], ['arrow', 19], None, ['arrow', 20], None, None], 'leftover': 0})],\n [('regression new stack size #1', [[None], 'Arrow', 20, 5], {'slots': [['Arrow', 5]], 'leftover': 15}),\n  ('regression new stack size #2',\n   [[['Potion', 25], None], 'arrow', 45, 10],\n   {'slots': [['Potion', 25], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #3',\n   [[None, ['arrow', 19]], 'Potion', 45, 5],\n   {'slots': [['Potion', 5], ['arrow', 19]], 'leftover': 40}),\n  ('regression new stack size #4',\n   [[None, ['arrow', 1], ['Arrow', 19], ['arrow', 10], None], 'arrow', 20, 5],\n   {'slots': [['arrow', 5], ['arrow', 5], ['Arrow', 19], ['arrow', 10], ['arrow', 5]], 'leftover': 6}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('control #1',\n   [[None, ['Arrow', 1], ['arrow', 1], ['Potion', 20], ['arrow', 19]], 'arrow', 20, 20],\n   {'slots': [None, ['Arrow', 1], ['arrow', 20], ['Potion', 20], ['arrow', 20]], 'leftover': 0}),\n  ('control #2',\n   [[['arrow', 0], ['arrow', 5], ['Potion', 18]], 'Potion', 45, 5],\n   {'slots': [['arrow', 0], ['arrow', 5], ['Potion', 18]], 'leftover': 45})],\n [('regression new stack size #1',\n   [[None, ['arrow', 19]], 'Potion', 45, 5],\n   {'slots': [['Potion', 5], ['arrow', 19]], 'leftover': 40}),\n  ('regression new stack size #2',\n   [[None, ['arrow', 1], ['Arrow', 19], ['arrow', 10], None], 'arrow', 20, 5],\n   {'slots': [['arrow', 5], ['arrow', 5], ['Arrow', 19], ['arrow', 10], ['arrow', 5]], 'leftover': 6}),\n  ('regression new stack size #3',\n   [[['arrow', 20], None, ['Potion', 4], ['Arrow', 20], ['arrow', 19]], 'arrow', 45, 10],\n   {'slots': [['arrow', 20], ['arrow', 10], ['Potion', 4], ['Arrow', 20], ['arrow', 19]], 'leftover': 35}),\n  ('partial repair boundary #1',\n   [[['Arrow', 19], None, None, None, ['Potion', 20]], 'arrow', 20, 20],\n   {'slots': [['Arrow', 19], ['arrow', 20], None, None, ['Potion', 20]], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('control #1', [[['arrow', 0]], 'Potion', 45, 5], {'slots': [['arrow', 0]], 'leftover': 45}),\n  ('control #2', [[], 'Potion', 20, 5], {'slots': [], 'leftover': 20})]]\nfor label, args, expected in cases[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"58147b394fd049e5fcab1fa5eddd02235822f88732559547a05722f71c1931b1","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, item, qty, max_stack):\n    slots = [s if s is None else list(s) for s in slots]\n    left = qty\n    for s in slots:\n        if left == 0:\n            break\n        if s is not None and s[0] == item and s[1] < max_stack:\n            add = min(left, max_stack - s[1])\n            s[1] += add\n            left -= add\n    for i in range(len(slots)):\n        if left == 0:\n            break\n        if slots[i] is None:\n            add = left\n            slots[i] = [item, add]\n            left -= add\n    return {'slots': slots, 'leftover': left}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('regression new stack size #1',\n   [[None, ['Arrow', 16], ['arrow', 20], None, ['Arrow', 25], None], 'Potion', 20, 10],\n   {'slots': [['Potion', 10], ['Arrow', 16], ['arrow', 20], ['Potion', 10], ['Arrow', 25], None],\n    'leftover': 0}),\n  ('regression new stack size #2',\n   [[['Potion', 20], None, ['Arrow', 13], ['arrow', 20]], 'Potion', 20, 5],\n   {'slots': [['Potion', 20], ['Potion', 5], ['Arrow', 13], ['arrow', 20]], 'leftover': 15}),\n  ('regression new stack size #3',\n   [[['Arrow', 5], None], 'arrow', 45, 10],\n   {'slots': [['Arrow', 5], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #4',\n   [[None, ['arrow', 5], None, None], 'arrow', 45, 10],\n   {'slots': [['arrow', 10], ['arrow', 10], ['arrow', 10], ['arrow', 10]], 'leftover': 10}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('control #1',\n   [[['Arrow', 6], None, ['arrow', 5]], 'Potion', 0, 20],\n   {'slots': [['Arrow', 6], None, ['arrow', 5]], 'leftover': 0})],\n [('regression new stack size #1',\n   [[['Arrow', 5], None], 'arrow', 45, 10],\n   {'slots': [['Arrow', 5], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #2',\n   [[None, ['arrow', 5], None, None], 'arrow', 45, 10],\n   {'slots': [['arrow', 10], ['arrow', 10], ['arrow', 10], ['arrow', 10]], 'leftover': 10}),\n  ('regression new stack size #3',\n   [[None, ['arrow', 5], None], 'Arrow', 20, 5],\n   {'slots': [['Arrow', 5], ['arrow', 5], ['Arrow', 5]], 'leftover': 10}),\n  ('regression new stack size #4', [[None], 'Arrow', 45, 10], {'slots': [['Arrow', 10]], 'leftover': 35}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('control #1',\n   [[['Arrow', 6], None, ['arrow', 5]], 'Potion', 0, 20],\n   {'slots': [['Arrow', 6], None, ['arrow', 5]], 'leftover': 0}),\n  ('control #2', [[['Potion', 0]], 'Arrow', 45, 5], {'slots': [['Potion', 0]], 'leftover': 45})],\n [('regression new stack size #1',\n   [[None, ['arrow', 5], None], 'Arrow', 20, 5],\n   {'slots': [['Arrow', 5], ['arrow', 5], ['Arrow', 5]], 'leftover': 10}),\n  ('regression new stack size #2', [[None], 'Arrow', 45, 10], {'slots': [['Arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #3', [[None], 'Arrow', 20, 5], {'slots': [['Arrow', 5]], 'leftover': 15}),\n  ('regression new stack size #4',\n   [[['Potion', 25], None], 'arrow', 45, 10],\n   {'slots': [['Potion', 25], ['arrow', 10]], 'leftover': 35}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('control #1', [[['Potion', 0]], 'Arrow', 45, 5], {'slots': [['Potion', 0]], 'leftover': 45}),\n  ('control #2',\n   [[['arrow', 0], ['arrow', 19], None, ['arrow', 20], None, None], 'Arrow', 0, 5],\n   {'slots': [['arrow', 0], ['arrow', 19], None, ['arrow', 20], None, None], 'leftover': 0})],\n [('regression new stack size #1', [[None], 'Arrow', 20, 5], {'slots': [['Arrow', 5]], 'leftover': 15}),\n  ('regression new stack size #2',\n   [[['Potion', 25], None], 'arrow', 45, 10],\n   {'slots': [['Potion', 25], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #3',\n   [[None, ['arrow', 19]], 'Potion', 45, 5],\n   {'slots': [['Potion', 5], ['arrow', 19]], 'leftover': 40}),\n  ('regression new stack size #4',\n   [[None, ['arrow', 1], ['Arrow', 19], ['arrow', 10], None], 'arrow', 20, 5],\n   {'slots': [['arrow', 5], ['arrow', 5], ['Arrow', 19], ['arrow', 10], ['arrow', 5]], 'leftover': 6}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('control #1',\n   [[None, ['Arrow', 1], ['arrow', 1], ['Potion', 20], ['arrow', 19]], 'arrow', 20, 20],\n   {'slots': [None, ['Arrow', 1], ['arrow', 20], ['Potion', 20], ['arrow', 20]], 'leftover': 0}),\n  ('control #2',\n   [[['arrow', 0], ['arrow', 5], ['Potion', 18]], 'Potion', 45, 5],\n   {'slots': [['arrow', 0], ['arrow', 5], ['Potion', 18]], 'leftover': 45})],\n [('regression new stack size #1',\n   [[None, ['arrow', 19]], 'Potion', 45, 5],\n   {'slots': [['Potion', 5], ['arrow', 19]], 'leftover': 40}),\n  ('regression new stack size #2',\n   [[None, ['arrow', 1], ['Arrow', 19], ['arrow', 10], None], 'arrow', 20, 5],\n   {'slots': [['arrow', 5], ['arrow', 5], ['Arrow', 19], ['arrow', 10], ['arrow', 5]], 'leftover': 6}),\n  ('regression new stack size #3',\n   [[['arrow', 20], None, ['Potion', 4], ['Arrow', 20], ['arrow', 19]], 'arrow', 45, 10],\n   {'slots': [['arrow', 20], ['arrow', 10], ['Potion', 4], ['Arrow', 20], ['arrow', 19]], 'leftover': 35}),\n  ('partial repair boundary #1',\n   [[['Arrow', 19], None, None, None, ['Potion', 20]], 'arrow', 20, 20],\n   {'slots': [['Arrow', 19], ['arrow', 20], None, None, ['Potion', 20]], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('control #1', [[['arrow', 0]], 'Potion', 45, 5], {'slots': [['arrow', 0]], 'leftover': 45}),\n  ('control #2', [[], 'Potion', 20, 5], {'slots': [], 'leftover': 20})]]\nfor label, args, expected in cases[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"25668d8816cca89faff579f7cf3bbbba7f1bfb7733a9df7d2034a97f6575f602","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, item, qty, max_stack):\n    slots = [s if s is None else list(s) for s in slots]\n    left = qty\n    for s in slots:\n        if left == 0:\n            break\n        if s is not None and s[0] == item and s[1] < max_stack:\n            add = min(left, max_stack - s[1])\n            s[1] += add\n            left -= add\n    for i in range(len(slots)):\n        if left == 0:\n            break\n        if slots[i] is None:\n            add = min(left, max_stack)\n            slots[i] = [item, add]\n            left -= add\n    return {'slots': slots, 'leftover': left}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('regression new stack size #1',\n   [[None, ['Arrow', 16], ['arrow', 20], None, ['Arrow', 25], None], 'Potion', 20, 10],\n   {'slots': [['Potion', 10], ['Arrow', 16], ['arrow', 20], ['Potion', 10], ['Arrow', 25], None],\n    'leftover': 0}),\n  ('regression new stack size #2',\n   [[['Potion', 20], None, ['Arrow', 13], ['arrow', 20]], 'Potion', 20, 5],\n   {'slots': [['Potion', 20], ['Potion', 5], ['Arrow', 13], ['arrow', 20]], 'leftover': 15}),\n  ('regression new stack size #3',\n   [[['Arrow', 5], None], 'arrow', 45, 10],\n   {'slots': [['Arrow', 5], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #4',\n   [[None, ['arrow', 5], None, None], 'arrow', 45, 10],\n   {'slots': [['arrow', 10], ['arrow', 10], ['arrow', 10], ['arrow', 10]], 'leftover': 10}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('control #1',\n   [[['Arrow', 6], None, ['arrow', 5]], 'Potion', 0, 20],\n   {'slots': [['Arrow', 6], None, ['arrow', 5]], 'leftover': 0})],\n [('regression new stack size #1',\n   [[['Arrow', 5], None], 'arrow', 45, 10],\n   {'slots': [['Arrow', 5], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #2',\n   [[None, ['arrow', 5], None, None], 'arrow', 45, 10],\n   {'slots': [['arrow', 10], ['arrow', 10], ['arrow', 10], ['arrow', 10]], 'leftover': 10}),\n  ('regression new stack size #3',\n   [[None, ['arrow', 5], None], 'Arrow', 20, 5],\n   {'slots': [['Arrow', 5], ['arrow', 5], ['Arrow', 5]], 'leftover': 10}),\n  ('regression new stack size #4', [[None], 'Arrow', 45, 10], {'slots': [['Arrow', 10]], 'leftover': 35}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('control #1',\n   [[['Arrow', 6], None, ['arrow', 5]], 'Potion', 0, 20],\n   {'slots': [['Arrow', 6], None, ['arrow', 5]], 'leftover': 0}),\n  ('control #2', [[['Potion', 0]], 'Arrow', 45, 5], {'slots': [['Potion', 0]], 'leftover': 45})],\n [('regression new stack size #1',\n   [[None, ['arrow', 5], None], 'Arrow', 20, 5],\n   {'slots': [['Arrow', 5], ['arrow', 5], ['Arrow', 5]], 'leftover': 10}),\n  ('regression new stack size #2', [[None], 'Arrow', 45, 10], {'slots': [['Arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #3', [[None], 'Arrow', 20, 5], {'slots': [['Arrow', 5]], 'leftover': 15}),\n  ('regression new stack size #4',\n   [[['Potion', 25], None], 'arrow', 45, 10],\n   {'slots': [['Potion', 25], ['arrow', 10]], 'leftover': 35}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('control #1', [[['Potion', 0]], 'Arrow', 45, 5], {'slots': [['Potion', 0]], 'leftover': 45}),\n  ('control #2',\n   [[['arrow', 0], ['arrow', 19], None, ['arrow', 20], None, None], 'Arrow', 0, 5],\n   {'slots': [['arrow', 0], ['arrow', 19], None, ['arrow', 20], None, None], 'leftover': 0})],\n [('regression new stack size #1', [[None], 'Arrow', 20, 5], {'slots': [['Arrow', 5]], 'leftover': 15}),\n  ('regression new stack size #2',\n   [[['Potion', 25], None], 'arrow', 45, 10],\n   {'slots': [['Potion', 25], ['arrow', 10]], 'leftover': 35}),\n  ('regression new stack size #3',\n   [[None, ['arrow', 19]], 'Potion', 45, 5],\n   {'slots': [['Potion', 5], ['arrow', 19]], 'leftover': 40}),\n  ('regression new stack size #4',\n   [[None, ['arrow', 1], ['Arrow', 19], ['arrow', 10], None], 'arrow', 20, 5],\n   {'slots': [['arrow', 5], ['arrow', 5], ['Arrow', 19], ['arrow', 10], ['arrow', 5]], 'leftover': 6}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('two partial stacks #1',\n   [[['Arrow', 18], ['Arrow', 15], None], 'Arrow', 4, 20],\n   {'slots': [['Arrow', 20], ['Arrow', 17], None], 'leftover': 0}),\n  ('control #1',\n   [[None, ['Arrow', 1], ['arrow', 1], ['Potion', 20], ['arrow', 19]], 'arrow', 20, 20],\n   {'slots': [None, ['Arrow', 1], ['arrow', 20], ['Potion', 20], ['arrow', 20]], 'leftover': 0}),\n  ('control #2',\n   [[['arrow', 0], ['arrow', 5], ['Potion', 18]], 'Potion', 45, 5],\n   {'slots': [['arrow', 0], ['arrow', 5], ['Potion', 18]], 'leftover': 45})],\n [('regression new stack size #1',\n   [[None, ['arrow', 19]], 'Potion', 45, 5],\n   {'slots': [['Potion', 5], ['arrow', 19]], 'leftover': 40}),\n  ('regression new stack size #2',\n   [[None, ['arrow', 1], ['Arrow', 19], ['arrow', 10], None], 'arrow', 20, 5],\n   {'slots': [['arrow', 5], ['arrow', 5], ['Arrow', 19], ['arrow', 10], ['arrow', 5]], 'leftover': 6}),\n  ('regression new stack size #3',\n   [[['arrow', 20], None, ['Potion', 4], ['Arrow', 20], ['arrow', 19]], 'arrow', 45, 10],\n   {'slots': [['arrow', 20], ['arrow', 10], ['Potion', 4], ['Arrow', 20], ['arrow', 19]], 'leftover': 35}),\n  ('partial repair boundary #1',\n   [[['Arrow', 19], None, None, None, ['Potion', 20]], 'arrow', 20, 20],\n   {'slots': [['Arrow', 19], ['arrow', 20], None, None, ['Potion', 20]], 'leftover': 0}),\n  ('case distinct item #1', [[['arrow', 3]], 'Arrow', 2, 20], {'slots': [['arrow', 3]], 'leftover': 2}),\n  ('legacy overfull stack #1',\n   [[['Arrow', 25], None], 'Arrow', 3, 20],\n   {'slots': [['Arrow', 25], ['Arrow', 3]], 'leftover': 0}),\n  ('control #1', [[['arrow', 0]], 'Potion', 45, 5], {'slots': [['arrow', 0]], 'leftover': 45}),\n  ('control #2', [[], 'Potion', 20, 5], {'slots': [], 'leftover': 20})]]\nfor label, args, expected in cases[N-1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Deterministic toy contract stipulated for this model; integer or exact arithmetic only, not a reproduction of any specific game engine. 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.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-game-economy-crafting-balance-inventory-stacking-new-stack-size","generated_at":"2026-09-29T14:50:47.335027+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Game economies leak or destroy currency when one crafting or pricing rule is off by one boundary, rounding stage or state update; the defect is observable in exact integer outcomes.","repair":"Restore `add = min(left, max_stack)` at the new stack size step.","root_cause":"A new stack takes the whole remaining quantity.","sha256":"c9400eb219fcc5e323b9abf86a80edfb934a978a055bfec8078596415d89eeef","title":"Inventory stack insertion: New stacks exceed stack limit · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.625,"exit_code":1,"observations":[{"actual":{"leftover":0,"slots":[["Potion",9],["Arrow",16],["arrow",20],["Potion",9],["Arrow",25],["Potion",2]]},"check":"regression new stack size #1","expected":{"leftover":0,"slots":[["Potion",10],["Arrow",16],["arrow",20],["Potion",10],["Arrow",25],null]},"passed":false},{"actual":{"leftover":16,"slots":[["Potion",20],["Potion",4],["Arrow",13],["arrow",20]]},"check":"regression new stack size #2","expected":{"leftover":15,"slots":[["Potion",20],["Potion",5],["Arrow",13],["arrow",20]]},"passed":false},{"actual":{"leftover":36,"slots":[["Arrow",5],["arrow",9]]},"check":"regression new stack size #3","expected":{"leftover":35,"slots":[["Arrow",5],["arrow",10]]},"passed":false},{"actual":{"leftover":13,"slots":[["arrow",9],["arrow",10],["arrow",9],["arrow",9]]},"check":"regression new stack size #4","expected":{"leftover":10,"slots":[["arrow",10],["arrow",10],["arrow",10],["arrow",10]]},"passed":false},{"actual":{"leftover":0,"slots":[["Arrow",25],["Arrow",3]]},"check":"legacy overfull stack #1","expected":{"leftover":0,"slots":[["Arrow",25],["Arrow",3]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",20],["Arrow",17],null]},"check":"two partial stacks #1","expected":{"leftover":0,"slots":[["Arrow",20],["Arrow",17],null]},"passed":true},{"actual":{"leftover":2,"slots":[["arrow",3]]},"check":"case distinct item #1","expected":{"leftover":2,"slots":[["arrow",3]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",6],null,["arrow",5]]},"check":"control #1","expected":{"leftover":0,"slots":[["Arrow",6],null,["arrow",5]]},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression new stack size #1\", \"actual\": {\"slots\": [[\"Potion\", 9], [\"Arrow\", 16], [\"arrow\", 20], [\"Potion\", 9], [\"Arrow\", 25], [\"Potion\", 2]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Potion\", 10], [\"Arrow\", 16], [\"arrow\", 20], [\"Potion\", 10], [\"Arrow\", 25], null], \"leftover\": 0}, \"passed\": false}, {\"check\": \"regression new stack size #2\", \"actual\": {\"slots\": [[\"Potion\", 20], [\"Potion\", 4], [\"Arrow\", 13], [\"arrow\", 20]], \"leftover\": 16}, \"expected\": {\"slots\": [[\"Potion\", 20], [\"Potion\", 5], [\"Arrow\", 13], [\"arrow\", 20]], \"leftover\": 15}, \"passed\": false}, {\"check\": \"regression new stack size #3\", \"actual\": {\"slots\": [[\"Arrow\", 5], [\"arrow\", 9]], \"leftover\": 36}, \"expected\": {\"slots\": [[\"Arrow\", 5], [\"arrow\", 10]], \"leftover\": 35}, \"passed\": false}, {\"check\": \"regression new stack size #4\", \"actual\": {\"slots\": [[\"arrow\", 9], [\"arrow\", 10], [\"arrow\", 9], [\"arrow\", 9]], \"leftover\": 13}, \"expected\": {\"slots\": [[\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10]], \"leftover\": 10}, \"passed\": false}, {\"check\": \"legacy overfull stack #1\", \"actual\": {\"slots\": [[\"Arrow\", 25], [\"Arrow\", 3]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 25], [\"Arrow\", 3]], \"leftover\": 0}, \"passed\": true}, {\"check\": \"two partial stacks #1\", \"actual\": {\"slots\": [[\"Arrow\", 20], [\"Arrow\", 17], null], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 20], [\"Arrow\", 17], null], \"leftover\": 0}, \"passed\": true}, {\"check\": \"case distinct item #1\", \"actual\": {\"slots\": [[\"arrow\", 3]], \"leftover\": 2}, \"expected\": {\"slots\": [[\"arrow\", 3]], \"leftover\": 2}, \"passed\": true}, {\"check\": \"control #1\", \"actual\": {\"slots\": [[\"Arrow\", 6], null, [\"arrow\", 5]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 6], null, [\"arrow\", 5]], \"leftover\": 0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.608,"exit_code":1,"observations":[{"actual":{"leftover":0,"slots":[["Potion",20],["Arrow",16],["arrow",20],null,["Arrow",25],null]},"check":"regression new stack size #1","expected":{"leftover":0,"slots":[["Potion",10],["Arrow",16],["arrow",20],["Potion",10],["Arrow",25],null]},"passed":false},{"actual":{"leftover":0,"slots":[["Potion",20],["Potion",20],["Arrow",13],["arrow",20]]},"check":"regression new stack size #2","expected":{"leftover":15,"slots":[["Potion",20],["Potion",5],["Arrow",13],["arrow",20]]},"passed":false},{"actual":{"leftover":0,"slots":[["Arrow",5],["arrow",45]]},"check":"regression new stack size #3","expected":{"leftover":35,"slots":[["Arrow",5],["arrow",10]]},"passed":false},{"actual":{"leftover":0,"slots":[["arrow",40],["arrow",10],null,null]},"check":"regression new stack size #4","expected":{"leftover":10,"slots":[["arrow",10],["arrow",10],["arrow",10],["arrow",10]]},"passed":false},{"actual":{"leftover":0,"slots":[["Arrow",25],["Arrow",3]]},"check":"legacy overfull stack #1","expected":{"leftover":0,"slots":[["Arrow",25],["Arrow",3]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",20],["Arrow",17],null]},"check":"two partial stacks #1","expected":{"leftover":0,"slots":[["Arrow",20],["Arrow",17],null]},"passed":true},{"actual":{"leftover":2,"slots":[["arrow",3]]},"check":"case distinct item #1","expected":{"leftover":2,"slots":[["arrow",3]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",6],null,["arrow",5]]},"check":"control #1","expected":{"leftover":0,"slots":[["Arrow",6],null,["arrow",5]]},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression new stack size #1\", \"actual\": {\"slots\": [[\"Potion\", 20], [\"Arrow\", 16], [\"arrow\", 20], null, [\"Arrow\", 25], null], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Potion\", 10], [\"Arrow\", 16], [\"arrow\", 20], [\"Potion\", 10], [\"Arrow\", 25], null], \"leftover\": 0}, \"passed\": false}, {\"check\": \"regression new stack size #2\", \"actual\": {\"slots\": [[\"Potion\", 20], [\"Potion\", 20], [\"Arrow\", 13], [\"arrow\", 20]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Potion\", 20], [\"Potion\", 5], [\"Arrow\", 13], [\"arrow\", 20]], \"leftover\": 15}, \"passed\": false}, {\"check\": \"regression new stack size #3\", \"actual\": {\"slots\": [[\"Arrow\", 5], [\"arrow\", 45]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 5], [\"arrow\", 10]], \"leftover\": 35}, \"passed\": false}, {\"check\": \"regression new stack size #4\", \"actual\": {\"slots\": [[\"arrow\", 40], [\"arrow\", 10], null, null], \"leftover\": 0}, \"expected\": {\"slots\": [[\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10]], \"leftover\": 10}, \"passed\": false}, {\"check\": \"legacy overfull stack #1\", \"actual\": {\"slots\": [[\"Arrow\", 25], [\"Arrow\", 3]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 25], [\"Arrow\", 3]], \"leftover\": 0}, \"passed\": true}, {\"check\": \"two partial stacks #1\", \"actual\": {\"slots\": [[\"Arrow\", 20], [\"Arrow\", 17], null], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 20], [\"Arrow\", 17], null], \"leftover\": 0}, \"passed\": true}, {\"check\": \"case distinct item #1\", \"actual\": {\"slots\": [[\"arrow\", 3]], \"leftover\": 2}, \"expected\": {\"slots\": [[\"arrow\", 3]], \"leftover\": 2}, \"passed\": true}, {\"check\": \"control #1\", \"actual\": {\"slots\": [[\"Arrow\", 6], null, [\"arrow\", 5]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 6], null, [\"arrow\", 5]], \"leftover\": 0}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":40.505,"exit_code":0,"observations":[{"actual":{"leftover":0,"slots":[["Potion",10],["Arrow",16],["arrow",20],["Potion",10],["Arrow",25],null]},"check":"regression new stack size #1","expected":{"leftover":0,"slots":[["Potion",10],["Arrow",16],["arrow",20],["Potion",10],["Arrow",25],null]},"passed":true},{"actual":{"leftover":15,"slots":[["Potion",20],["Potion",5],["Arrow",13],["arrow",20]]},"check":"regression new stack size #2","expected":{"leftover":15,"slots":[["Potion",20],["Potion",5],["Arrow",13],["arrow",20]]},"passed":true},{"actual":{"leftover":35,"slots":[["Arrow",5],["arrow",10]]},"check":"regression new stack size #3","expected":{"leftover":35,"slots":[["Arrow",5],["arrow",10]]},"passed":true},{"actual":{"leftover":10,"slots":[["arrow",10],["arrow",10],["arrow",10],["arrow",10]]},"check":"regression new stack size #4","expected":{"leftover":10,"slots":[["arrow",10],["arrow",10],["arrow",10],["arrow",10]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",25],["Arrow",3]]},"check":"legacy overfull stack #1","expected":{"leftover":0,"slots":[["Arrow",25],["Arrow",3]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",20],["Arrow",17],null]},"check":"two partial stacks #1","expected":{"leftover":0,"slots":[["Arrow",20],["Arrow",17],null]},"passed":true},{"actual":{"leftover":2,"slots":[["arrow",3]]},"check":"case distinct item #1","expected":{"leftover":2,"slots":[["arrow",3]]},"passed":true},{"actual":{"leftover":0,"slots":[["Arrow",6],null,["arrow",5]]},"check":"control #1","expected":{"leftover":0,"slots":[["Arrow",6],null,["arrow",5]]},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression new stack size #1\", \"actual\": {\"slots\": [[\"Potion\", 10], [\"Arrow\", 16], [\"arrow\", 20], [\"Potion\", 10], [\"Arrow\", 25], null], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Potion\", 10], [\"Arrow\", 16], [\"arrow\", 20], [\"Potion\", 10], [\"Arrow\", 25], null], \"leftover\": 0}, \"passed\": true}, {\"check\": \"regression new stack size #2\", \"actual\": {\"slots\": [[\"Potion\", 20], [\"Potion\", 5], [\"Arrow\", 13], [\"arrow\", 20]], \"leftover\": 15}, \"expected\": {\"slots\": [[\"Potion\", 20], [\"Potion\", 5], [\"Arrow\", 13], [\"arrow\", 20]], \"leftover\": 15}, \"passed\": true}, {\"check\": \"regression new stack size #3\", \"actual\": {\"slots\": [[\"Arrow\", 5], [\"arrow\", 10]], \"leftover\": 35}, \"expected\": {\"slots\": [[\"Arrow\", 5], [\"arrow\", 10]], \"leftover\": 35}, \"passed\": true}, {\"check\": \"regression new stack size #4\", \"actual\": {\"slots\": [[\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10]], \"leftover\": 10}, \"expected\": {\"slots\": [[\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10], [\"arrow\", 10]], \"leftover\": 10}, \"passed\": true}, {\"check\": \"legacy overfull stack #1\", \"actual\": {\"slots\": [[\"Arrow\", 25], [\"Arrow\", 3]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 25], [\"Arrow\", 3]], \"leftover\": 0}, \"passed\": true}, {\"check\": \"two partial stacks #1\", \"actual\": {\"slots\": [[\"Arrow\", 20], [\"Arrow\", 17], null], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 20], [\"Arrow\", 17], null], \"leftover\": 0}, \"passed\": true}, {\"check\": \"case distinct item #1\", \"actual\": {\"slots\": [[\"arrow\", 3]], \"leftover\": 2}, \"expected\": {\"slots\": [[\"arrow\", 3]], \"leftover\": 2}, \"passed\": true}, {\"check\": \"control #1\", \"actual\": {\"slots\": [[\"Arrow\", 6], null, [\"arrow\", 5]], \"leftover\": 0}, \"expected\": {\"slots\": [[\"Arrow\", 6], null, [\"arrow\", 5]], \"leftover\": 0}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}