{"id":"smallest-range-i-closed-form","text":"The minimum score equals `max(0, max(nums) - min(nums) - 2*k)` — the optimal strategy pushes the min up by `k` and the max down by `k`, collapsing to zero if `2k` exceeds the original spread","truth_value":"IN","source":"entries/2026/06/06/smallest-range-i-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"smallest-range-i-closed-form","truth_value":"IN","reason":"premise"}]}}