{"id":"fair-candy-swap-delta-formula","text":"The swap requirement `a - b = (sumA - sumB) / 2` reduces a two-variable search to a one-variable lookup; integer division is safe because the difference is always even when a valid swap exists.","truth_value":"IN","source":"entries/2026/06/06/fair-candy-swap-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"fair-candy-swap-delta-formula","truth_value":"IN","reason":"premise"}]}}