{"id": "c942", "title": "C942 — One carry exchange", "filename": "C942.md", "role": "Research action", "step": 942, "sha256": "b4599975fb51cb9c29255d7f4f977c006e1d068d38fec55d281f23e2226057d1", "bytes": 976, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C942"], "download": "/sources/b4599975fb51cb9c29255d7f4f977c006e1d068d38fec55d281f23e2226057d1.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "Why do the two cumulative branches differ by 990?", "content": "# C942 — One carry exchange\n\n## Question\n\nWhy do the two cumulative branches differ by 990?\n\n## Inputs\n\n```json\n{\n  \"branches\": [\n    [\n      11,\n      15,\n      10\n    ],\n    [\n      12,\n      5,\n      10\n    ]\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"C940\",\n  \"C941\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:42:35.051400+00:00\n\n## Results\n\n```json\n{\n  \"column_exchange\": [\n    1,\n    -10,\n    0\n  ],\n  \"original_change\": 0,\n  \"reversed_change\": -990\n}\n```\n\n## Finding\n\nA hundreds increment and ten tens decrement preserves the original sum but moves its reversed measurement by −990.\n\n## Reassessment\n\nTest the full linear kernel to distinguish aggregate recovery from component recovery.\n\n## Checks\n\n```json\n{\n  \"same_original\": true,\n  \"branch_gap\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:42:35.051584+00:00\n\n## Record provenance\n\nExact record hash: `a264518bc82fc00891a204d9acd4cf1d93ad884b84261affff42a864403eb286`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}