{"abstract":"Addition replaces multiplicative accumulation.","category":"Discrete calculus","checks":4,"contract":"Integer sample values and compatible sample-array lengths. Rational results are reduced Fraction strings; spacing is positive unless explicitly stated otherwise. Prefix products inclusive. Exact operational definition: list(itertools.accumulate(values,lambda a,b:a*b))","contract_signature":"values","evaluation_group":"model-ae47b3c5f1b58d9a","failed_approach":"The current factor is excluded.","family":"xn-prefix-products-inclusive","id":"FA-6366","implementations":{"attempt":{"sha256":"d999aa18a8bf29a52cbfcf8a7670f7ad1b1dc5404eaafc18ea9e39b67ebc8b7c","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(values):\n    return [math.prod(values[:i]) for i in range(len(values))]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([2, 3, 4],)', solve(*([2, 3, 4],)), [2, 6, 24])\ncheck('fixture 2: ([2, 0, 5],)', solve(*([2, 0, 5],)), [2, 0, 0])\ncheck('fixture 3: ([5],)', solve(*([5],)), [5])\ncheck('fixture 4: ([],)', solve(*([],)), [])\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":"877ff47b47c7002617b3f5dddc075ffd67821ed9642fb43c09549c78e90641ab","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(values):\n    return list(itertools.accumulate(values))\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([2, 3, 4],)', solve(*([2, 3, 4],)), [2, 6, 24])\ncheck('fixture 2: ([2, 0, 5],)', solve(*([2, 0, 5],)), [2, 0, 0])\ncheck('fixture 3: ([5],)', solve(*([5],)), [5])\ncheck('fixture 4: ([],)', solve(*([],)), [])\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-prefix-products-inclusive","generated_at":"2026-09-29T14:38:00.874384+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. Discrete calculus results depend on the stated convention.","root_cause":"Addition replaces multiplicative accumulation.","sha256":"21ee34e8f2e362cd703ae160936a1aae6bb8b7f4503bbaa90f467f5949f87793","title":"Prefix products inclusive · 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":46.358,"exit_code":1,"observations":[{"actual":[1,2,6],"check":"fixture 1: ([2, 3, 4],)","expected":[2,6,24],"passed":false},{"actual":[1,2,0],"check":"fixture 2: ([2, 0, 5],)","expected":[2,0,0],"passed":false},{"actual":[1],"check":"fixture 3: ([5],)","expected":[5],"passed":false},{"actual":[],"check":"fixture 4: ([],)","expected":[],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([2, 3, 4],)\", \"actual\": [1, 2, 6], \"expected\": [2, 6, 24], \"passed\": false}, {\"check\": \"fixture 2: ([2, 0, 5],)\", \"actual\": [1, 2, 0], \"expected\": [2, 0, 0], \"passed\": false}, {\"check\": \"fixture 3: ([5],)\", \"actual\": [1], \"expected\": [5], \"passed\": false}, {\"check\": \"fixture 4: ([],)\", \"actual\": [], \"expected\": [], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":48.279,"exit_code":1,"observations":[{"actual":[2,5,9],"check":"fixture 1: ([2, 3, 4],)","expected":[2,6,24],"passed":false},{"actual":[2,2,7],"check":"fixture 2: ([2, 0, 5],)","expected":[2,0,0],"passed":false},{"actual":[5],"check":"fixture 3: ([5],)","expected":[5],"passed":true},{"actual":[],"check":"fixture 4: ([],)","expected":[],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([2, 3, 4],)\", \"actual\": [2, 5, 9], \"expected\": [2, 6, 24], \"passed\": false}, {\"check\": \"fixture 2: ([2, 0, 5],)\", \"actual\": [2, 2, 7], \"expected\": [2, 0, 0], \"passed\": false}, {\"check\": \"fixture 3: ([5],)\", \"actual\": [5], \"expected\": [5], \"passed\": true}, {\"check\": \"fixture 4: ([],)\", \"actual\": [], \"expected\": [], \"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."}}