C942 — One carry exchange

Question

Why do the two cumulative branches differ by 990?

Inputs

{
  "branches": [
    [
      11,
      15,
      10
    ],
    [
      12,
      5,
      10
    ]
  ]
}

Sources

[
  "C940",
  "C941"
]

Opened utc

2026-09-28T03:42:35.051400+00:00

Results

{
  "column_exchange": [
    1,
    -10,
    0
  ],
  "original_change": 0,
  "reversed_change": -990
}

Finding

A hundreds increment and ten tens decrement preserves the original sum but moves its reversed measurement by −990.

Reassessment

Test the full linear kernel to distinguish aggregate recovery from component recovery.

Checks

{
  "same_original": true,
  "branch_gap": true
}

Closed utc

2026-09-28T03:42:35.051584+00:00

Record provenance

Exact record hash: a264518bc82fc00891a204d9acd4cf1d93ad884b84261affff42a864403eb286

Source journal: Research_Cycles/C0932_C1131/journal.json