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 ans = 1;
		long max = 1000000000000000000L;
		long[] arr = new long[n];
		for (int i = 0; i < n; i++) {
		    arr[i] = sc.nextLong();
		    if (arr[i] == 0) {
		        System.out.println(0);
		        return;
		    }
		}
		for (int i = 0; i < n; i++) {
		    long x = arr[i];
		    if (max / ans < x) {
		        System.out.println(-1);
		        return;
		    }
		    ans *= x;
		}
		if (ans > max) {
		    System.out.println(-1);
		} else {
		    System.out.println(ans);
		}
	}
}
