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 void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		long[] a = new long[n];
		long ans = 1;
		long max = (long)Math.pow(10,18);
		
		for(int i=0; i<n; i++){
		    a[i]=sc.nextLong();
		    if(a[i]==0){
		        System.out.println(0);
		        return;
		    }
		}
		
		if(ans != 0){
		    for(int i=0; i<n; i++){
		        if(max/ans <a[i]){
		            System.out.println(-1);
		            return;
		        }else{
		            ans = ans*a[i];
		        }
		    }
		}
		
		System.out.println(ans);
	}
}
