public class MiniMax_version_AlphaBeta_compteur {

    public static int compteur_noeud = 0;

    private static int ExploreMax(int nbr_allumettes, int alpha, int beta){
        compteur_noeud++;
        if (nbr_allumettes <= 0){
            return 1;
        }
        int localAlpha = alpha;
        for (int coup = 1; coup <= 3; coup++){
            int res = ExploreMin(nbr_allumettes - coup, localAlpha, beta);
            if (res > localAlpha){
                localAlpha = res;
                if (localAlpha >= beta){
                    return localAlpha;
                }
            }
        }
        return localAlpha;
    }

    private static int ExploreMin(int nbr_allumettes, int alpha, int beta){
        compteur_noeud++;
        if (nbr_allumettes <= 0){
            return -1;
        }
        int localBeta = beta;
        for (int coup = 1; coup <= 3; coup++){
            int res = ExploreMax(nbr_allumettes - coup, alpha, localBeta);
            if (res < localBeta){
                localBeta = res;
                if (localBeta <= alpha){
                    return localBeta;
                }
            }
        }
        return localBeta;
    }

    public static void main(String[] args) {
        int nbr_allumettes = 31;
        System.out.println(ExploreMax(nbr_allumettes, Integer.MIN_VALUE, Integer.MAX_VALUE));
        System.out.println(compteur_noeud);
    }
}