{"id":"odd-k-residual-cost","text":"When leftover k is odd after flipping all negatives, the sum penalty is exactly `2 * min(nums)` applied to the already-mutated (all-non-negative) array.","truth_value":"IN","source":"entries/2026/06/06/maximize-sum-of-array-after-k-negations-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"odd-k-residual-cost","truth_value":"IN","reason":"premise"}]}}