{"id":"three-parts-cumulative-boundary","text":"Partition boundaries are detected via `running_sum == target * (parts_found + 1)`, which relies on parts_found incrementing sequentially from 0 to 1 to 2","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-cumulative-boundary","truth_value":"IN","reason":"premise"}]}}