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.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String args[]) {
		Scanner scan = new Scanner(System.in);

        int N = scan.nextInt();
        long num[] = new long[N];
        long ans = 1, limit = 1000000000000000000L;
		for(int i = 0; i < N; i++){
			num[i] = scan.nextLong();
		}

		Arrays.sort(num);
		for(Long tmp: num) {
			if(tmp == 0) {
				ans = 0;
				break;
			}else if(tmp <= (limit / ans)){
				ans *= tmp;
			}else {
				ans = -1;
				break;
			}
		}

		System.out.println(ans);
	}
}
