Abstract—We present an efficient solution to the N-Queens puzzle using the heuristic algorithm proposed in the paper. The N-Queens problem become intractable for large values of N and this placed in NP (No deterministic Polynomial) class problem because of their high complexity (eg: O(N!) , O(2N )) they cannot solved in a realistic time frame using deterministic technique, very efficient AI (Artificial Intelligence) search algorithm solving strategies, even classic Local Search algorithm developed so far cannot find a solution for large size N-Queens problem in a reasonable time, in this paper we present a new optimization that combine the Local Search algorithm and our proposed heuristic algorithm which is based on a specific generated N- Queens Starting states. This efficient optimization is capable of finding a solution for extremely large size Queens number in O(N), we give the execution statistics for this hybrid algorithm with number of Queens up to 19,000,000 in less than one second.



 Télécharger l'article : Efficient optimization to the N Queens Problem