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 t = sc.nextInt();
		long sum = 1;
		boolean exceed = false;
		boolean zero = false;
		for(int i = 0; i < t; i++) {
			long curr = sum;
			long a = sc.nextLong();
			if(a == 0)
				zero = true;
			sum *= a;
			if(sum > (long)1e18 || curr > sum) {
				exceed = true;
			}
		}
		if(zero)
			System.out.println(0);
		else if(exceed)
			System.out.println(-1);
		else
			System.out.println(sum);
	}
}