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 A[] =new long[N];
    double e =Math.pow(10,18);
    long f =(long) e;long l =1;
    for(int j=0;j<N;j++){
      A[j]=sc.nextLong();if(A[j]==0){System.out.println(0);System.exit(0);}}
    for(int i=0;i<N;i++){
      l=l*A[i];
      if(l>f||l<=0){System.out.println(-1);System.exit(0);}}
    System.out.println(l);
  }
}