Given N integers A_1, ..., A_N, compute A_1 \times ... \times A_N.

However, if the result exceeds 10^{18}, print `-1` instead.

Constraints

* 2 \leq N \leq 10^5
* 0 \leq A_i \leq 10^{18}
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N
A_1 ... A_N


Output

Print the value A_1 \times ... \times A_N as an integer, or `-1` if the value exceeds 10^{18}.

Examples

Input

2
1000000000 1000000000


Output

1000000000000000000


Input

3
101 9901 999999000001


Output

-1


Input

31
4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0


Output

0
import java.util.*;

public class Main {
	public static int n[][] = {{1,1},{0,1},{-1,1},{1,0},{-1,0},{0,-1}};
	public static void main(String[] args) {
			Scanner scan =  new Scanner(System.in);
			int n = scan.nextInt();
			long ans = 1;
			for(int i=0;i<n;i++){
				long m = scan.nextLong();
				if(ans == -1){
					if(m==0){
						ans=0;
						break;
					}
				}else if(((long)ans*m)>1000000000000000000L || ((long)ans*m)<=0){
					ans=-1;
				}
				else{
					ans=(long)ans*m;
				}
			}
			System.out.println(ans);
	}
}
