{"abstract":"Awards are fully paid with points although a cash co-pay is required.","category":"Loyalty points ledgers","checks":6,"contract":"Input {price, balance, cpp10 (point value in tenths of a cent), min_cash}. Points may cover at most price - min_cash (never negative): max points = floor((price - min_cash)*10/cpp10), limited by balance. Credit = floor(points*cpp10/10); cash = price - credit. Return {points, cash}.","contract_signature":"x","evaluation_group":"w2-loyalty-points-ledgers-points-plus-cash","failed_approach":"Forcing cash up to the minimum afterwards still deducts the extra points.","family":"w2-loyalty-points-ledgers-points-plus-cash-minimum-cash-reservation","id":"FA-60766","implementations":{"attempt":{"sha256":"df103ba2d9ca3eb2623e1e774614f9e3fddbb69be6f8c4ddd5ed4f83962356bb","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    room = x['price']\n    maxp = max(0, room * 10 // x['cpp10'])\n    pts = min(x['balance'], maxp)\n    credit = pts * x['cpp10'] // 10\n    return {'points': pts, 'cash': max(x['min_cash'], x['price'] - credit)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 501}, {'points': 7915, 'cash': 502}], ['balance limits', {'price': 10000, 'balance': 3001, 'cpp10': 10, 'min_cash': 100}, {'points': 3001, 'cash': 6999}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 2}, {'points': 7138, 'cash': 3}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 401}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 990}, {'points': 4, 'cash': 990}], ['odd credit', {'price': 2503, 'balance': 1238, 'cpp10': 13, 'min_cash': 3}, {'points': 1238, 'cash': 894}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 502}, {'points': 7915, 'cash': 502}], ['balance limits', {'price': 10000, 'balance': 3002, 'cpp10': 10, 'min_cash': 100}, {'points': 3002, 'cash': 6998}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 3}, {'points': 7137, 'cash': 4}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 402}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 980}, {'points': 8, 'cash': 980}], ['odd credit', {'price': 2503, 'balance': 1239, 'cpp10': 13, 'min_cash': 3}, {'points': 1239, 'cash': 893}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 503}, {'points': 7914, 'cash': 504}], ['balance limits', {'price': 10000, 'balance': 3003, 'cpp10': 10, 'min_cash': 100}, {'points': 3003, 'cash': 6997}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 4}, {'points': 7135, 'cash': 5}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 403}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 970}, {'points': 12, 'cash': 970}], ['odd credit', {'price': 2503, 'balance': 1240, 'cpp10': 13, 'min_cash': 3}, {'points': 1240, 'cash': 891}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 504}, {'points': 7913, 'cash': 505}], ['balance limits', {'price': 10000, 'balance': 3004, 'cpp10': 10, 'min_cash': 100}, {'points': 3004, 'cash': 6996}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 5}, {'points': 7134, 'cash': 6}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 404}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 960}, {'points': 16, 'cash': 960}], ['odd credit', {'price': 2503, 'balance': 1241, 'cpp10': 13, 'min_cash': 3}, {'points': 1241, 'cash': 890}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 505}, {'points': 7912, 'cash': 506}], ['balance limits', {'price': 10000, 'balance': 3005, 'cpp10': 10, 'min_cash': 100}, {'points': 3005, 'cash': 6995}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 6}, {'points': 7132, 'cash': 7}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 405}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 950}, {'points': 20, 'cash': 950}], ['odd credit', {'price': 2503, 'balance': 1242, 'cpp10': 13, 'min_cash': 3}, {'points': 1242, 'cash': 889}]]]\nfor label, args, expected in fixtures[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":"2e7979165e345de3e5a08b7b37a8923b5559a28c0694ab14a56bd36c4474fded","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    room = x['price']\n    maxp = max(0, room * 10 // x['cpp10'])\n    pts = min(x['balance'], maxp)\n    credit = pts * x['cpp10'] // 10\n    return {'points': pts, 'cash': x['price'] - credit}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 501}, {'points': 7915, 'cash': 502}], ['balance limits', {'price': 10000, 'balance': 3001, 'cpp10': 10, 'min_cash': 100}, {'points': 3001, 'cash': 6999}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 2}, {'points': 7138, 'cash': 3}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 401}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 990}, {'points': 4, 'cash': 990}], ['odd credit', {'price': 2503, 'balance': 1238, 'cpp10': 13, 'min_cash': 3}, {'points': 1238, 'cash': 894}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 502}, {'points': 7915, 'cash': 502}], ['balance limits', {'price': 10000, 'balance': 3002, 'cpp10': 10, 'min_cash': 100}, {'points': 3002, 'cash': 6998}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 3}, {'points': 7137, 'cash': 4}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 402}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 980}, {'points': 8, 'cash': 980}], ['odd credit', {'price': 2503, 'balance': 1239, 'cpp10': 13, 'min_cash': 3}, {'points': 1239, 'cash': 893}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 503}, {'points': 7914, 'cash': 504}], ['balance limits', {'price': 10000, 'balance': 3003, 'cpp10': 10, 'min_cash': 100}, {'points': 3003, 'cash': 6997}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 4}, {'points': 7135, 'cash': 5}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 403}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 970}, {'points': 12, 'cash': 970}], ['odd credit', {'price': 2503, 'balance': 1240, 'cpp10': 13, 'min_cash': 3}, {'points': 1240, 'cash': 891}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 504}, {'points': 7913, 'cash': 505}], ['balance limits', {'price': 10000, 'balance': 3004, 'cpp10': 10, 'min_cash': 100}, {'points': 3004, 'cash': 6996}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 5}, {'points': 7134, 'cash': 6}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 404}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 960}, {'points': 16, 'cash': 960}], ['odd credit', {'price': 2503, 'balance': 1241, 'cpp10': 13, 'min_cash': 3}, {'points': 1241, 'cash': 890}]], [['points cover most', {'price': 10000, 'balance': 50000, 'cpp10': 12, 'min_cash': 505}, {'points': 7912, 'cash': 506}], ['balance limits', {'price': 10000, 'balance': 3005, 'cpp10': 10, 'min_cash': 100}, {'points': 3005, 'cash': 6995}], ['fractional value', {'price': 4999, 'balance': 99999, 'cpp10': 7, 'min_cash': 6}, {'points': 7132, 'cash': 7}], ['price below minimum cash', {'price': 300, 'balance': 1000, 'cpp10': 10, 'min_cash': 405}, {'points': 0, 'cash': 300}], ['exact minimum', {'price': 1000, 'balance': 100000, 'cpp10': 25, 'min_cash': 950}, {'points': 20, 'cash': 950}], ['odd credit', {'price': 2503, 'balance': 1242, 'cpp10': 13, 'min_cash': 3}, {'points': 1242, 'cash': 889}]]]\nfor label, args, expected in fixtures[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":"Stipulated bounded loyalty-program model with explicit toy rules; not any real program terms. 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-loyalty-points-ledgers-points-plus-cash-minimum-cash-reservation","generated_at":"2026-09-29T14:46:48.820379+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Member point balances, statements and the program liability depend on this ledger rule.","root_cause":"The room for points is the whole price, not price minus minimum cash.","sha256":"196e614cd86a72d0a8bb777a47f234ec6ec77070ba7e917cb9a0710f9234e96b","title":"Points plus cash split: minimum cash reservation · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":39.335,"exit_code":1,"observations":[{"actual":{"cash":501,"points":8333},"check":"points cover most","expected":{"cash":502,"points":7915},"passed":false},{"actual":{"cash":6999,"points":3001},"check":"balance limits","expected":{"cash":6999,"points":3001},"passed":true},{"actual":{"cash":2,"points":7141},"check":"fractional value","expected":{"cash":3,"points":7138},"passed":false},{"actual":{"cash":401,"points":300},"check":"price below minimum cash","expected":{"cash":300,"points":0},"passed":false},{"actual":{"cash":990,"points":400},"check":"exact minimum","expected":{"cash":990,"points":4},"passed":false},{"actual":{"cash":894,"points":1238},"check":"odd credit","expected":{"cash":894,"points":1238},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"points cover most\", \"actual\": {\"points\": 8333, \"cash\": 501}, \"expected\": {\"points\": 7915, \"cash\": 502}, \"passed\": false}, {\"check\": \"balance limits\", \"actual\": {\"points\": 3001, \"cash\": 6999}, \"expected\": {\"points\": 3001, \"cash\": 6999}, \"passed\": true}, {\"check\": \"fractional value\", \"actual\": {\"points\": 7141, \"cash\": 2}, \"expected\": {\"points\": 7138, \"cash\": 3}, \"passed\": false}, {\"check\": \"price below minimum cash\", \"actual\": {\"points\": 300, \"cash\": 401}, \"expected\": {\"points\": 0, \"cash\": 300}, \"passed\": false}, {\"check\": \"exact minimum\", \"actual\": {\"points\": 400, \"cash\": 990}, \"expected\": {\"points\": 4, \"cash\": 990}, \"passed\": false}, {\"check\": \"odd credit\", \"actual\": {\"points\": 1238, \"cash\": 894}, \"expected\": {\"points\": 1238, \"cash\": 894}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.611,"exit_code":1,"observations":[{"actual":{"cash":1,"points":8333},"check":"points cover most","expected":{"cash":502,"points":7915},"passed":false},{"actual":{"cash":6999,"points":3001},"check":"balance limits","expected":{"cash":6999,"points":3001},"passed":true},{"actual":{"cash":1,"points":7141},"check":"fractional value","expected":{"cash":3,"points":7138},"passed":false},{"actual":{"cash":0,"points":300},"check":"price below minimum cash","expected":{"cash":300,"points":0},"passed":false},{"actual":{"cash":0,"points":400},"check":"exact minimum","expected":{"cash":990,"points":4},"passed":false},{"actual":{"cash":894,"points":1238},"check":"odd credit","expected":{"cash":894,"points":1238},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"points cover most\", \"actual\": {\"points\": 8333, \"cash\": 1}, \"expected\": {\"points\": 7915, \"cash\": 502}, \"passed\": false}, {\"check\": \"balance limits\", \"actual\": {\"points\": 3001, \"cash\": 6999}, \"expected\": {\"points\": 3001, \"cash\": 6999}, \"passed\": true}, {\"check\": \"fractional value\", \"actual\": {\"points\": 7141, \"cash\": 1}, \"expected\": {\"points\": 7138, \"cash\": 3}, \"passed\": false}, {\"check\": \"price below minimum cash\", \"actual\": {\"points\": 300, \"cash\": 0}, \"expected\": {\"points\": 0, \"cash\": 300}, \"passed\": false}, {\"check\": \"exact minimum\", \"actual\": {\"points\": 400, \"cash\": 0}, \"expected\": {\"points\": 4, \"cash\": 990}, \"passed\": false}, {\"check\": \"odd credit\", \"actual\": {\"points\": 1238, \"cash\": 894}, \"expected\": {\"points\": 1238, \"cash\": 894}, \"passed\": true}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}