{"id":"three-parts-zero-sum-correct","text":"When `total == 0`, `target == 0` and the cumulative check still works correctly — finds two prefixes summing to 0, with the remainder guaranteed to sum to 0","truth_value":"IN","source":"entries/2026/06/06/partition-array-into-three-parts-with-equal-sum-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"three-parts-zero-sum-correct","truth_value":"IN","reason":"premise"}]}}