{"abstract":"The two end disks are omitted.","category":"Solid geometry","checks":4,"contract":"Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. Cylinder total surface divided by pi. Exact operational definition: 2*r*(r+h)","evaluation_group":"model-da7d6809c41663b6","failed_approach":"The curved surface loses one factor of two.","family":"xn-cylinder-total-surface-divided-by-pi","id":"FA-5961","implementations":{"attempt":{"sha256":"90eafa63168f95965b8b7784bbd8b039542cb999c1fd8b0c13a44370675f2c11","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r, h):\n    return 2*r*r+r*h\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (2, 3)', solve(*(2, 3)), 20)\ncheck('fixture 2: (1, 0)', solve(*(1, 0)), 2)\ncheck('fixture 3: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 4: (3, 4)', solve(*(3, 4)), 42)\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":"a0ac239a716ddd821e6b00077213efeef12089b4f03399eff4998c57bf5073f1","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r, h):\n    return 2*r*h\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (2, 3)', solve(*(2, 3)), 20)\ncheck('fixture 2: (1, 0)', solve(*(1, 0)), 2)\ncheck('fixture 3: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 4: (3, 4)', solve(*(3, 4)), 42)\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":"7d2cbb07e6a0beacfc59d2a7a68e94680ac8698c235a8b99b5671620600f60b9","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r, h):\n    return 2*r*(r+h)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (2, 3)', solve(*(2, 3)), 20)\ncheck('fixture 2: (1, 0)', solve(*(1, 0)), 2)\ncheck('fixture 3: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 4: (3, 4)', solve(*(3, 4)), 42)\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":" 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":"xn-cylinder-total-surface-divided-by-pi","generated_at":"2026-09-29T14:37:56.016144+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.","repair":"Apply the specified mathematical contract directly, preserving all terms and boundary cases: return 2*r*(r+h)","root_cause":"The two end disks are omitted.","sha256":"814dcbd74252a99d819ff47e9f09275fd998ee3cf3d678149ceeb775dbae0674","title":"Cylinder total surface divided by pi · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":43.808,"exit_code":1,"observations":[{"actual":14,"check":"fixture 1: (2, 3)","expected":20,"passed":false},{"actual":2,"check":"fixture 2: (1, 0)","expected":2,"passed":true},{"actual":0,"check":"fixture 3: (0, 5)","expected":0,"passed":true},{"actual":30,"check":"fixture 4: (3, 4)","expected":42,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (2, 3)\", \"actual\": 14, \"expected\": 20, \"passed\": false}, {\"check\": \"fixture 2: (1, 0)\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"fixture 3: (0, 5)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (3, 4)\", \"actual\": 30, \"expected\": 42, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":48.931,"exit_code":1,"observations":[{"actual":12,"check":"fixture 1: (2, 3)","expected":20,"passed":false},{"actual":0,"check":"fixture 2: (1, 0)","expected":2,"passed":false},{"actual":0,"check":"fixture 3: (0, 5)","expected":0,"passed":true},{"actual":24,"check":"fixture 4: (3, 4)","expected":42,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (2, 3)\", \"actual\": 12, \"expected\": 20, \"passed\": false}, {\"check\": \"fixture 2: (1, 0)\", \"actual\": 0, \"expected\": 2, \"passed\": false}, {\"check\": \"fixture 3: (0, 5)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (3, 4)\", \"actual\": 24, \"expected\": 42, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":124.932,"exit_code":0,"observations":[{"actual":20,"check":"fixture 1: (2, 3)","expected":20,"passed":true},{"actual":2,"check":"fixture 2: (1, 0)","expected":2,"passed":true},{"actual":0,"check":"fixture 3: (0, 5)","expected":0,"passed":true},{"actual":42,"check":"fixture 4: (3, 4)","expected":42,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (2, 3)\", \"actual\": 20, \"expected\": 20, \"passed\": true}, {\"check\": \"fixture 2: (1, 0)\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"fixture 3: (0, 5)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (3, 4)\", \"actual\": 42, \"expected\": 42, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}