{"id":"nim-game-constant-complexity","text":"`canWinNim` is O(1) time and O(1) space — a single modulo operation — which is necessary because n can be up to 2^31 - 1, making DP infeasible.","truth_value":"IN","source":"entries/2026/06/06/nim-game-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"nim-game-constant-complexity","truth_value":"IN","reason":"premise"}]}}