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);
        long count = Long.parseLong(sc.next());
      	long suuzi = 1;
      	final long limit = 1000000000000000000L;
      	boolean flg = false;
      	for (int i=0; i<count; i++){
          	long item = Long.parseLong(sc.next());
          	if (item == 0){
              System.out.println("0");
              return;
            }
          	if (item <= limit/suuzi){
          		suuzi = item * suuzi;
            }else{
             	flg = true; 
            }
        }
        
      	if(flg && suuzi != 0){
          	suuzi = -1;
        }
      	System.out.println(suuzi);
    }

}