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 t = 1l;
		double d = 0d;
		for ( int i=0; i<n; i++ ) {
			long a = sc.nextLong();

			if ( a==0 ) {
				System.out.println(0);
				System.exit(0);
			}

			d += Math.log10((double)a);
			t *= a;

		}

		if ( d>18 ) {
			System.out.println(-1);
		} else if ( t>1000000000000000000l ) {
			System.out.println(-1);
		} else {
			System.out.println(t);
		}
	}
}