{"abstract":"An absolute partition predictor seed is added to old state.","category":"PCM sample encoding","checks":8,"contract":"PCM residual partitions optionally replace predictor with an absolute seed; continuation partitions ignore their seed field and empty partitions retain state transitions.","evaluation_group":"s3-pcm-pcm-residual-partition-seeds","failed_approach":"Restoring the stream initial seed ignores partition-local anchors.","family":"s3-pcm-pcm-residual-partition-seeds-seed-replacement","id":"FA-50171","implementations":{"attempt":{"sha256":"1889838b01b8a5078ed15a5c28722f777185189069ed64d63d069e48229ff61f","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(partitions, initial):\n    state=initial\n    out=[]\n    for reset,seed,residuals in partitions:\n        if reset:\n            state=initial\n        section=[]\n        for residual in residuals:\n            state+=residual\n            section.append(state)\n        out.append(section)\n    return [out,state]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[True, 10, [1, 2]], [False, 99, [-1]]], 0)), [[[11, 13], [12]], 12])\ncheck('oracle 2', solve(*([[True, 0, [2]], [False, 5, [1]]], 7)), [[[2], [3]], 3])\ncheck('oracle 3', solve(*([[True, 4, []], [False, 0, [1]]], 0)), [[[], [5]], 5])\ncheck('oracle 4', solve(*([], 3)), [[], 3])\ncheck('oracle 5', solve(*([[False, 99, [1, 1]]], 2)), [[[3, 4]], 4])\ncheck('oracle 6', solve(*([[True, -3, [-1, 2]]], 5)), [[[-4, -2]], -2])\ncheck('oracle 7', solve(*([[False, 0, []]], 4)), [[[]], 4])\nif N == 1: check('variant packet 1', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12]], 12])\nif N == 2: check('variant packet 2', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 3: check('variant packet 3', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 4: check('variant packet 4', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 5: check('variant packet 5', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\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":"f239f61af1a3fb63927df7a6b3a0b1626a4334f1b298b71ae24453618bd1953e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(partitions, initial):\n    state=initial\n    out=[]\n    for reset,seed,residuals in partitions:\n        if reset:\n            state+=seed\n        section=[]\n        for residual in residuals:\n            state+=residual\n            section.append(state)\n        out.append(section)\n    return [out,state]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[True, 10, [1, 2]], [False, 99, [-1]]], 0)), [[[11, 13], [12]], 12])\ncheck('oracle 2', solve(*([[True, 0, [2]], [False, 5, [1]]], 7)), [[[2], [3]], 3])\ncheck('oracle 3', solve(*([[True, 4, []], [False, 0, [1]]], 0)), [[[], [5]], 5])\ncheck('oracle 4', solve(*([], 3)), [[], 3])\ncheck('oracle 5', solve(*([[False, 99, [1, 1]]], 2)), [[[3, 4]], 4])\ncheck('oracle 6', solve(*([[True, -3, [-1, 2]]], 5)), [[[-4, -2]], -2])\ncheck('oracle 7', solve(*([[False, 0, []]], 4)), [[[]], 4])\nif N == 1: check('variant packet 1', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12]], 12])\nif N == 2: check('variant packet 2', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 3: check('variant packet 3', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 4: check('variant packet 4', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 5: check('variant packet 5', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\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":"9db0e32dd0a9f4b2466e8b228582dfc277b2739ac65d890b0d6b6e869ad85988","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(partitions, initial):\n    state=initial\n    out=[]\n    for reset,seed,residuals in partitions:\n        if reset:\n            state=seed\n        section=[]\n        for residual in residuals:\n            state+=residual\n            section.append(state)\n        out.append(section)\n    return [out,state]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[True, 10, [1, 2]], [False, 99, [-1]]], 0)), [[[11, 13], [12]], 12])\ncheck('oracle 2', solve(*([[True, 0, [2]], [False, 5, [1]]], 7)), [[[2], [3]], 3])\ncheck('oracle 3', solve(*([[True, 4, []], [False, 0, [1]]], 0)), [[[], [5]], 5])\ncheck('oracle 4', solve(*([], 3)), [[], 3])\ncheck('oracle 5', solve(*([[False, 99, [1, 1]]], 2)), [[[3, 4]], 4])\ncheck('oracle 6', solve(*([[True, -3, [-1, 2]]], 5)), [[[-4, -2]], -2])\ncheck('oracle 7', solve(*([[False, 0, []]], 4)), [[[]], 4])\nif N == 1: check('variant packet 1', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12]], 12])\nif N == 2: check('variant packet 2', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 3: check('variant packet 3', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 4: check('variant packet 4', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 5: check('variant packet 5', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\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-residual-partition-seeds-seed-replacement","generated_at":"2026-09-29T14:45:06.703755+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 seed replacement.","root_cause":"An absolute partition predictor seed is added to old state.","sha256":"31f60f253bb14fdea2e46dd459e7ea81254204a864609438d950bd08ad8151b6","title":"Pcm residual partition seeds: seed replacement · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":40.963,"exit_code":1,"observations":[{"actual":[[[1,3],[2]],2],"check":"oracle 1","expected":[[[11,13],[12]],12],"passed":false},{"actual":[[[9],[10]],10],"check":"oracle 2","expected":[[[2],[3]],3],"passed":false},{"actual":[[[],[1]],1],"check":"oracle 3","expected":[[[],[5]],5],"passed":false},{"actual":[[],3],"check":"oracle 4","expected":[[],3],"passed":true},{"actual":[[[3,4]],4],"check":"oracle 5","expected":[[[3,4]],4],"passed":true},{"actual":[[[4,6]],6],"check":"oracle 6","expected":[[[-4,-2]],-2],"passed":false},{"actual":[[[]],4],"check":"oracle 7","expected":[[[]],4],"passed":true},{"actual":[[[1,3],[2],[1,3],[2]],2],"check":"variant packet 1","expected":[[[11,13],[12],[11,13],[12]],12],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[1, 3], [2]], 2], \"expected\": [[[11, 13], [12]], 12], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[[9], [10]], 10], \"expected\": [[[2], [3]], 3], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[], [1]], 1], \"expected\": [[[], [5]], 5], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [[], 3], \"expected\": [[], 3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[3, 4]], 4], \"expected\": [[[3, 4]], 4], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[[4, 6]], 6], \"expected\": [[[-4, -2]], -2], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[]], 4], \"expected\": [[[]], 4], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[1, 3], [2], [1, 3], [2]], 2], \"expected\": [[[11, 13], [12], [11, 13], [12]], 12], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":36.779,"exit_code":1,"observations":[{"actual":[[[11,13],[12]],12],"check":"oracle 1","expected":[[[11,13],[12]],12],"passed":true},{"actual":[[[9],[10]],10],"check":"oracle 2","expected":[[[2],[3]],3],"passed":false},{"actual":[[[],[5]],5],"check":"oracle 3","expected":[[[],[5]],5],"passed":true},{"actual":[[],3],"check":"oracle 4","expected":[[],3],"passed":true},{"actual":[[[3,4]],4],"check":"oracle 5","expected":[[[3,4]],4],"passed":true},{"actual":[[[1,3]],3],"check":"oracle 6","expected":[[[-4,-2]],-2],"passed":false},{"actual":[[[]],4],"check":"oracle 7","expected":[[[]],4],"passed":true},{"actual":[[[11,13],[12],[23,25],[24]],24],"check":"variant packet 1","expected":[[[11,13],[12],[11,13],[12]],12],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[11, 13], [12]], 12], \"expected\": [[[11, 13], [12]], 12], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[[9], [10]], 10], \"expected\": [[[2], [3]], 3], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[], [5]], 5], \"expected\": [[[], [5]], 5], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[], 3], \"expected\": [[], 3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[3, 4]], 4], \"expected\": [[[3, 4]], 4], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[[1, 3]], 3], \"expected\": [[[-4, -2]], -2], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[]], 4], \"expected\": [[[]], 4], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[11, 13], [12], [23, 25], [24]], 24], \"expected\": [[[11, 13], [12], [11, 13], [12]], 12], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":38.544,"exit_code":0,"observations":[{"actual":[[[11,13],[12]],12],"check":"oracle 1","expected":[[[11,13],[12]],12],"passed":true},{"actual":[[[2],[3]],3],"check":"oracle 2","expected":[[[2],[3]],3],"passed":true},{"actual":[[[],[5]],5],"check":"oracle 3","expected":[[[],[5]],5],"passed":true},{"actual":[[],3],"check":"oracle 4","expected":[[],3],"passed":true},{"actual":[[[3,4]],4],"check":"oracle 5","expected":[[[3,4]],4],"passed":true},{"actual":[[[-4,-2]],-2],"check":"oracle 6","expected":[[[-4,-2]],-2],"passed":true},{"actual":[[[]],4],"check":"oracle 7","expected":[[[]],4],"passed":true},{"actual":[[[11,13],[12],[11,13],[12]],12],"check":"variant packet 1","expected":[[[11,13],[12],[11,13],[12]],12],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[11, 13], [12]], 12], \"expected\": [[[11, 13], [12]], 12], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[[2], [3]], 3], \"expected\": [[[2], [3]], 3], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [[[], [5]], 5], \"expected\": [[[], [5]], 5], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[], 3], \"expected\": [[], 3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[3, 4]], 4], \"expected\": [[[3, 4]], 4], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[[-4, -2]], -2], \"expected\": [[[-4, -2]], -2], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[[]], 4], \"expected\": [[[]], 4], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[11, 13], [12], [11, 13], [12]], 12], \"expected\": [[[11, 13], [12], [11, 13], [12]], 12], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}