{"abstract":"Declared block sample count is interpreted as excluding its 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.","evaluation_group":"s3-pcm-pcm-seeded-adaptive-block","failed_approach":"Subtracting seed twice drops valid block samples.","family":"s3-pcm-pcm-seeded-adaptive-block-declared-includes-seed","id":"FA-50106","implementations":{"attempt":{"sha256":"b906c1eeeca302237ebfa7636413920c509daf90adad55a5d8df31fc537911de","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-1)])\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":"67baca4b808304251f02f034cf635b188405f4b0432a4b095d2efcdf2c9f8824","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)+1])\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"},"fixed":{"sha256":"21fba3d870c926d5c6de9acd94c7a94592f15e69fbd460b8b605c9c21a6da86c","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"}},"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-declared-includes-seed","generated_at":"2026-09-29T14:45:06.082293+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.","repair":"Use the stated conversion contract at declared includes seed.","root_cause":"Declared block sample count is interpreted as excluding its seed.","sha256":"e9e9f2957abb3a8cc7bd930d6d3e8ad0bf65f4089c909395f6bca063792d81f2","title":"Pcm seeded adaptive block: declared includes seed · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":39.05,"exit_code":1,"observations":[{"actual":[10,11,2,1],"check":"oracle 1","expected":[10,11,13,2,1,4],"passed":false},{"actual":[],"check":"oracle 2","expected":[7],"passed":false},{"actual":[],"check":"oracle 3","expected":[5],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[-3],"check":"oracle 5","expected":[-3,-1],"passed":false},{"actual":[1,2,3,4],"check":"oracle 6","expected":[1,2,3,4],"passed":true},{"actual":[3],"check":"oracle 7","expected":[3,5],"passed":false},{"actual":[10,11,2,1,10,11,2,1],"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, 2, 1], \"expected\": [10, 11, 13, 2, 1, 4], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [], \"expected\": [7], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [], \"expected\": [5], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [-3], \"expected\": [-3, -1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [1, 2, 3, 4], \"expected\": [1, 2, 3, 4], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [3], \"expected\": [3, 5], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [10, 11, 2, 1, 10, 11, 2, 1], \"expected\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.597,"exit_code":1,"observations":[{"actual":[10,11,13,2,1,4],"check":"oracle 1","expected":[10,11,13,2,1,4],"passed":true},{"actual":[7,8],"check":"oracle 2","expected":[7],"passed":false},{"actual":[4,5],"check":"oracle 3","expected":[5],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[-3,-1,-3],"check":"oracle 5","expected":[-3,-1],"passed":false},{"actual":[1,2,3,4],"check":"oracle 6","expected":[1,2,3,4],"passed":true},{"actual":[9,3,5],"check":"oracle 7","expected":[3,5],"passed":false},{"actual":[10,11,13,2,1,4,10,11,13,2,1,4],"check":"variant packet 1","expected":[10,11,13,2,1,4,10,11,13,2,1,4],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [10, 11, 13, 2, 1, 4], \"expected\": [10, 11, 13, 2, 1, 4], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [7, 8], \"expected\": [7], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [4, 5], \"expected\": [5], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [-3, -1, -3], \"expected\": [-3, -1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [1, 2, 3, 4], \"expected\": [1, 2, 3, 4], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [9, 3, 5], \"expected\": [3, 5], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"expected\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.389,"exit_code":0,"observations":[{"actual":[10,11,13,2,1,4],"check":"oracle 1","expected":[10,11,13,2,1,4],"passed":true},{"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":[1,2,3,4],"check":"oracle 6","expected":[1,2,3,4],"passed":true},{"actual":[3,5],"check":"oracle 7","expected":[3,5],"passed":true},{"actual":[10,11,13,2,1,4,10,11,13,2,1,4],"check":"variant packet 1","expected":[10,11,13,2,1,4,10,11,13,2,1,4],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [10, 11, 13, 2, 1, 4], \"expected\": [10, 11, 13, 2, 1, 4], \"passed\": true}, {\"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, 3, 4], \"expected\": [1, 2, 3, 4], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [3, 5], \"expected\": [3, 5], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"expected\": [10, 11, 13, 2, 1, 4, 10, 11, 13, 2, 1, 4], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}