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];
    long mul=1l;
    boolean flag=false;
    for(int i=0;i<N;i++){
      A[i]=sc.nextLong();
      if(A[i]==0){
        mul=0;
        flag=true;
      }
    }
    
    for(int i=0;i<N;i++){
      if(flag){
        break;
      }
      long afterMul=mul*A[i];
      long check=afterMul/A[i];
      
      if(check-1!=mul&&check!=mul&&check+1!=mul){
        mul=-1;
        break;
      }else{
        mul=afterMul;
      }
    }
      if(mul>1000000000000000000l) System.out.println(-1);
      else System.out.println(mul);
  }
}