C2 in LOSH 2016

import java.util.Scanner;




public class Main {
    long mod = 1000*1000*1000+9;

    static long mu(long a, long b, long mod){
        return (a*b)%mod;
    }

    static long bin_pow(long a, long n, long mod){
        if (n == 0) {
            return 1;
        }
        if (n % 2 == 0) {
            long g = bin_pow(a, n/2, mod);
            return mu(g,g, mod);
        } else {
            return mu(a, bin_pow(a,n-1,mod),mod);
        }
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        long mod = 1000*1000*1000+9;
        int n = sc.nextInt();
        long y = mod-2;
        int a[] = new int[n];
        for (int i = 0; i < n; i++){
            a[i] = sc.nextInt();
        }
        for (int i = 0; i <n; i++){
            System.out.println(bin_pow(a[i],y, mod));
        }
    }
}