{"abstract":"Every residual is anchored directly to block seed.","category":"PCM sample encoding","checks":8,"contract":"Decode independent seeded differential PCM blocks; seed is the first presented sample and declared sample count includes it, excluding padded residuals.","contract_signature":"blocks","evaluation_group":"s3-pcm-pcm-seeded-adaptive-block","failed_approach":"Subtracting signed residuals reverses the differential convention.","family":"s3-pcm-pcm-seeded-adaptive-block-residual-reconstruction","id":"FA-50101","implementations":{"attempt":{"sha256":"53f818dd94dcd43409bce8471f615fad0c69dd6e54b0e0988ca3bb603aa9b058","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(blocks):\n    out=[]\n    for seed,deltas,declared in blocks:\n        decoded=[seed]\n        previous=seed\n        for delta in deltas:\n            previous-=delta\n            decoded.append(previous)\n        out.extend(decoded[:max(0,declared)])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[10, [1, 2], 3], [2, [-1, 3], 3]],)), [10, 11, 13, 2, 1, 4])\ncheck('oracle 2', solve(*([[7, [1, 1], 1]],)), [7])\ncheck('oracle 3', solve(*([[4, [], 0], [5, [], 1]],)), [5])\ncheck('oracle 4', solve(*([],)), [])\ncheck('oracle 5', solve(*([[-3, [2, -2], 2]],)), [-3, -1])\ncheck('oracle 6', solve(*([[1, [1, 1, 1], 8]],)), [1, 2, 3, 4])\ncheck('oracle 7', solve(*([[9, [1], 0], [3, [2], 2]],)), [3, 5])\nif N == 1: check('variant packet 1', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 2: check('variant packet 2', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 3: check('variant packet 3', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 4: check('variant packet 4', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 5: check('variant packet 5', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\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":"2136efedb7b29bf11595cfaeb8ddecc3b957c35efffc8345f988fd1476313843","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(blocks):\n    out=[]\n    for seed,deltas,declared in blocks:\n        decoded=[seed]\n        previous=seed\n        for delta in deltas:\n            previous=seed+delta\n            decoded.append(previous)\n        out.extend(decoded[:max(0,declared)])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[10, [1, 2], 3], [2, [-1, 3], 3]],)), [10, 11, 13, 2, 1, 4])\ncheck('oracle 2', solve(*([[7, [1, 1], 1]],)), [7])\ncheck('oracle 3', solve(*([[4, [], 0], [5, [], 1]],)), [5])\ncheck('oracle 4', solve(*([],)), [])\ncheck('oracle 5', solve(*([[-3, [2, -2], 2]],)), [-3, -1])\ncheck('oracle 6', solve(*([[1, [1, 1, 1], 8]],)), [1, 2, 3, 4])\ncheck('oracle 7', solve(*([[9, [1], 0], [3, [2], 2]],)), [3, 5])\nif N == 1: check('variant packet 1', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 2: check('variant packet 2', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 3: check('variant packet 3', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 4: check('variant packet 4', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\nif N == 5: check('variant packet 5', solve(*[[[10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3], [10, [1, 2], 3], [2, [-1, 3], 3]]]), [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4])\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 finite model; no claim of hardware timing or full file-format conformance. 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-pcm-pcm-seeded-adaptive-block-residual-reconstruction","generated_at":"2026-09-29T14:45:06.110410+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Offline PCM interchange uses these exact bounded packet and sample representation decisions.","root_cause":"Every residual is anchored directly to block seed.","sha256":"e08bb93c84877c3e6543fb8edfd5ced6f0f2bfc07d1f136c030141ed0a2f126f","title":"Pcm seeded adaptive block: residual reconstruction · 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":37.296,"exit_code":1,"observations":[{"actual":[10,9,7,2,3,0],"check":"oracle 1","expected":[10,11,13,2,1,4],"passed":false},{"actual":[7],"check":"oracle 2","expected":[7],"passed":true},{"actual":[5],"check":"oracle 3","expected":[5],"passed":true},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[-3,-5],"check":"oracle 5","expected":[-3,-1],"passed":false},{"actual":[1,0,-1,-2],"check":"oracle 6","expected":[1,2,3,4],"passed":false},{"actual":[3,1],"check":"oracle 7","expected":[3,5],"passed":false},{"actual":[10,9,7,2,3,0,10,9,7,2,3,0],"check":"variant packet 1","expected":[10,11,13,2,1,4,10,11,13,2,1,4],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [10, 9, 7, 2, 3, 0], \"expected\": [10, 11, 13, 2, 1, 4], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [7], \"expected\": [7], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [5], \"expected\": [5], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [-3, -5], \"expected\": [-3, -1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [1, 0, -1, -2], \"expected\": [1, 2, 3, 4], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [3, 1], \"expected\": [3, 5], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [10, 9, 7, 2, 3, 0, 10, 9, 7, 2, 3, 0], \"expected\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":44.04,"exit_code":1,"observations":[{"actual":[10,11,12,2,1,5],"check":"oracle 1","expected":[10,11,13,2,1,4],"passed":false},{"actual":[7],"check":"oracle 2","expected":[7],"passed":true},{"actual":[5],"check":"oracle 3","expected":[5],"passed":true},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[-3,-1],"check":"oracle 5","expected":[-3,-1],"passed":true},{"actual":[1,2,2,2],"check":"oracle 6","expected":[1,2,3,4],"passed":false},{"actual":[3,5],"check":"oracle 7","expected":[3,5],"passed":true},{"actual":[10,11,12,2,1,5,10,11,12,2,1,5],"check":"variant packet 1","expected":[10,11,13,2,1,4,10,11,13,2,1,4],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [10, 11, 12, 2, 1, 5], \"expected\": [10, 11, 13, 2, 1, 4], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [7], \"expected\": [7], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [5], \"expected\": [5], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [-3, -1], \"expected\": [-3, -1], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [1, 2, 2, 2], \"expected\": [1, 2, 3, 4], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [3, 5], \"expected\": [3, 5], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [10, 11, 12, 2, 1, 5, 10, 11, 12, 2, 1, 5], \"expected\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"passed\": false}], \"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."}}