{"abstract":"A triangle is assigned the enclosing parallelogram area.","category":"Planar geometry","checks":4,"contract":"Integer coordinates and lengths, with exact arithmetic except for indicated division results. Lengths are nonnegative. Rectangles are (xmin,ymin,xmax,ymax) with ordered bounds; coordinate vectors have matching dimensions. Triangle area base height. Exact operational definition: base*height/2","evaluation_group":"model-711d64ed4fc1fbff","failed_approach":"Averaging dimensions does not produce an area.","family":"xn-triangle-area-base-height","id":"FA-5766","implementations":{"attempt":{"sha256":"cf8d61cbb63cf71a150b6de93cc922324040e40dd83f71b2b4499454579b442d","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(base, height):\n    return (base+height)/2\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (4, 3)', solve(*(4, 3)), 6)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 3: (2, 2)', solve(*(2, 2)), 2)\ncheck('fixture 4: (7, 4)', solve(*(7, 4)), 14)\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":"29cb93a7b30e6ffc3ef626a624767f9185013756555af7e618d61ac307d02bdc","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(base, height):\n    return base*height\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (4, 3)', solve(*(4, 3)), 6)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 3: (2, 2)', solve(*(2, 2)), 2)\ncheck('fixture 4: (7, 4)', solve(*(7, 4)), 14)\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":"284cb33df352e69e56e65ef398a192b1efcfd480c2a1dfbef38755e3179850f9","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(base, height):\n    return base*height/2\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (4, 3)', solve(*(4, 3)), 6)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 3: (2, 2)', solve(*(2, 2)), 2)\ncheck('fixture 4: (7, 4)', solve(*(7, 4)), 14)\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-triangle-area-base-height","generated_at":"2026-09-29T14:37:53.444400+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. Planar geometry results depend on the stated convention.","repair":"Apply the specified mathematical contract directly, preserving all terms and boundary cases: return base*height/2","root_cause":"A triangle is assigned the enclosing parallelogram area.","sha256":"dd9b347fdac3786a1b1e91b042911c17f66a02cbc158fc589e96db1145699fe5","title":"Triangle area base height · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":47.958,"exit_code":1,"observations":[{"actual":3.5,"check":"fixture 1: (4, 3)","expected":6,"passed":false},{"actual":2.5,"check":"fixture 2: (0, 5)","expected":0,"passed":false},{"actual":2.0,"check":"fixture 3: (2, 2)","expected":2,"passed":true},{"actual":5.5,"check":"fixture 4: (7, 4)","expected":14,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (4, 3)\", \"actual\": 3.5, \"expected\": 6, \"passed\": false}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 2.5, \"expected\": 0, \"passed\": false}, {\"check\": \"fixture 3: (2, 2)\", \"actual\": 2.0, \"expected\": 2, \"passed\": true}, {\"check\": \"fixture 4: (7, 4)\", \"actual\": 5.5, \"expected\": 14, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":45.524,"exit_code":1,"observations":[{"actual":12,"check":"fixture 1: (4, 3)","expected":6,"passed":false},{"actual":0,"check":"fixture 2: (0, 5)","expected":0,"passed":true},{"actual":4,"check":"fixture 3: (2, 2)","expected":2,"passed":false},{"actual":28,"check":"fixture 4: (7, 4)","expected":14,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (4, 3)\", \"actual\": 12, \"expected\": 6, \"passed\": false}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 3: (2, 2)\", \"actual\": 4, \"expected\": 2, \"passed\": false}, {\"check\": \"fixture 4: (7, 4)\", \"actual\": 28, \"expected\": 14, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":47.335,"exit_code":0,"observations":[{"actual":6.0,"check":"fixture 1: (4, 3)","expected":6,"passed":true},{"actual":0.0,"check":"fixture 2: (0, 5)","expected":0,"passed":true},{"actual":2.0,"check":"fixture 3: (2, 2)","expected":2,"passed":true},{"actual":14.0,"check":"fixture 4: (7, 4)","expected":14,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (4, 3)\", \"actual\": 6.0, \"expected\": 6, \"passed\": true}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 3: (2, 2)\", \"actual\": 2.0, \"expected\": 2, \"passed\": true}, {\"check\": \"fixture 4: (7, 4)\", \"actual\": 14.0, \"expected\": 14, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}