{"abstract":"A lot partition destroys or invents saleable parent units.","category":"Auction allocation rules","checks":11,"contract":"An auction seller partitions one identified parent lot into identified children before award. Child quantities, provenance, certificates and reservation inheritance are audited. Children cannot be independently sold until partition acceptance; a merged lot retires its child sale identifiers. Named decision partition-quantity-conservation: For partition quantity conservation, apply the stipulated decision sum(x[\"sizes\"])==x[\"parent_size\"].","evaluation_group":"s3-auction-lot-partition","failed_approach":"The attempted repair uses sum(x[\"sizes\"])>=x[\"parent_size\"]; the explicit regression cases demonstrate that this still violates the stipulated auction rule.","family":"s3-auction-allocation-rules-lot-partition-partition-quantity-conservation","id":"FA-57091","implementations":{"attempt":{"sha256":"813be37a6339839e9cf39849cda3e467efa4bc72e5b386017a1032d2a04f860b","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    v0 = sum(x[\"sizes\"])>=x[\"parent_size\"]\n    v1 = [] if x[\"accepted\"] else [x[\"parent\"]]\n    v2 = x[\"children\"] if x[\"accepted\"] else []\n    v3 = x[\"children\"] if x[\"parent\"] in x[\"reserved\"] else []\n    v4 = x[\"parent\"] not in x[\"sold\"] and not set(x[\"children\"])&set(x[\"sold\"])\n    v5 = sum(map(len,x[\"serials\"]))==len({s for row in x[\"serials\"] for s in row})\n    v6 = {s for row in x[\"serials\"] for s in row}==set(x[\"parent_serials\"])\n    v7 = [c for c in x[\"children\"] if c in x[\"child_certified\"]]\n    v8 = [] if x[\"merge\"] else [c for c in x[\"children\"] if c not in x[\"withdrawn\"]]\n    v9 = all(q>=x[\"minimum\"] for q in x[\"sizes\"])\n    return {'partition-quantity-conservation':v0,'parent-retirement':v1,'child-sale-activation':v2,'reservation-inheritance':v3,'sold-parent-partition-block':v4,'serial-disjointness':v5,'serial-coverage':v6,'child-certificates':v7,'merge-retires-children':v8,'minimum-child-size':v9}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [('missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('normal contract', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('minimum child exactly', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': True, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('unique serials', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('missing provenance', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('all certified', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1', 'P2'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('merged children', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': True, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True])]\ndef vary(value):\n if type(value) is int: return value*N\n if isinstance(value,list): return [vary(v) for v in value]\n if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}\n return value\nfor label, request, expected in fixtures:\n check(label, solve(vary(request))['partition-quantity-conservation'], expected[N-1])\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":"74856bf52c358fe118c700f86393ca23b49901e177b7913546deaae285de215a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    v0 = sum(x[\"sizes\"])<=x[\"parent_size\"]\n    v1 = [] if x[\"accepted\"] else [x[\"parent\"]]\n    v2 = x[\"children\"] if x[\"accepted\"] else []\n    v3 = x[\"children\"] if x[\"parent\"] in x[\"reserved\"] else []\n    v4 = x[\"parent\"] not in x[\"sold\"] and not set(x[\"children\"])&set(x[\"sold\"])\n    v5 = sum(map(len,x[\"serials\"]))==len({s for row in x[\"serials\"] for s in row})\n    v6 = {s for row in x[\"serials\"] for s in row}==set(x[\"parent_serials\"])\n    v7 = [c for c in x[\"children\"] if c in x[\"child_certified\"]]\n    v8 = [] if x[\"merge\"] else [c for c in x[\"children\"] if c not in x[\"withdrawn\"]]\n    v9 = all(q>=x[\"minimum\"] for q in x[\"sizes\"])\n    return {'partition-quantity-conservation':v0,'parent-retirement':v1,'child-sale-activation':v2,'reservation-inheritance':v3,'sold-parent-partition-block':v4,'serial-disjointness':v5,'serial-coverage':v6,'child-certificates':v7,'merge-retires-children':v8,'minimum-child-size':v9}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [('missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('normal contract', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('minimum child exactly', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': True, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('unique serials', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('missing provenance', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('all certified', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1', 'P2'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('merged children', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': True, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True])]\ndef vary(value):\n if type(value) is int: return value*N\n if isinstance(value,list): return [vary(v) for v in value]\n if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}\n return value\nfor label, request, expected in fixtures:\n check(label, solve(vary(request))['partition-quantity-conservation'], expected[N-1])\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":"6ca8d4770cb92d8cb3027345ea9b761706e62cf6e1a818f0286c5afe98ac7a65","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    v0 = sum(x[\"sizes\"])==x[\"parent_size\"]\n    v1 = [] if x[\"accepted\"] else [x[\"parent\"]]\n    v2 = x[\"children\"] if x[\"accepted\"] else []\n    v3 = x[\"children\"] if x[\"parent\"] in x[\"reserved\"] else []\n    v4 = x[\"parent\"] not in x[\"sold\"] and not set(x[\"children\"])&set(x[\"sold\"])\n    v5 = sum(map(len,x[\"serials\"]))==len({s for row in x[\"serials\"] for s in row})\n    v6 = {s for row in x[\"serials\"] for s in row}==set(x[\"parent_serials\"])\n    v7 = [c for c in x[\"children\"] if c in x[\"child_certified\"]]\n    v8 = [] if x[\"merge\"] else [c for c in x[\"children\"] if c not in x[\"withdrawn\"]]\n    v9 = all(q>=x[\"minimum\"] for q in x[\"sizes\"])\n    return {'partition-quantity-conservation':v0,'parent-retirement':v1,'child-sale-activation':v2,'reservation-inheritance':v3,'sold-parent-partition-block':v4,'serial-disjointness':v5,'serial-coverage':v6,'child-certificates':v7,'merge-retires-children':v8,'minimum-child-size':v9}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [('missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('normal contract', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('minimum child exactly', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': True, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('unique serials', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('missing provenance', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('all certified', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1', 'P2'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('merged children', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': True, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True])]\ndef vary(value):\n if type(value) is int: return value*N\n if isinstance(value,list): return [vary(v) for v in value]\n if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}\n return value\nfor label, request, expected in fixtures:\n check(label, solve(vary(request))['partition-quantity-conservation'], expected[N-1])\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":"Stipulated toy auction rules, not a venue specification, financial advice, optimization claim, or live trading implementation. Nonnegative integer inputs and internally aligned list fields only. 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":"s3-auction-allocation-rules-lot-partition-partition-quantity-conservation","generated_at":"2026-09-29T14:46:13.334216+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Offline administrative auction model for software failure analysis.","repair":"For partition quantity conservation, apply the stipulated decision sum(x[\"sizes\"])==x[\"parent_size\"].","root_cause":"A lot partition destroys or invents saleable parent units.","sha256":"f27562f70128fc422843d9dc2d9f70ce2dc5f920eb38f8d55c15e1fd063329cf","title":"Lot partition: partition quantity conservation · case 01","variant":1,"variant_policy":"Five numbered records share a model and may 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