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.math.BigDecimal;
import java.util.Scanner;

public class Main
{
	public static void main(String[] args)
	{
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		String str = sc.nextLine();
		long b = 0;
		long ans = 1;
		long  c = (long)Math.pow(10, 18);
		for (int i=0; i<n; i++) {
			b = sc.nextLong();
			if (b == 0) {
				ans = 0;
				break;
			}
			long ans2 = Long.MAX_VALUE;
			if(new BigDecimal(ans).multiply(new BigDecimal(b)).compareTo(new BigDecimal(ans2)) == -1) {
				ans *= b ;
			} else {
				ans = ans2;
			}
			if (ans > c || ans < 0) {
				ans = -1;
			}
		}
		sc.close();

		System.out.println(ans);
	}
}


