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.*;
import java.lang.*;

public class Main{
  public static void main(String[] args){
    Scanner scan = new Scanner(System.in);
    int a = scan.nextInt();

    long limit = (long) Math.pow(10,18);
    long sum = 1;
    long [] c = new long[a];
    for (int i=0;i<a;i++){
      long b = scan.nextLong();
      if (b==0){
        System.out.println(0);
        return;
      }
      c[i] = b;
    }

    for (int j=0;j<a;j++){
      if (Math.log10(sum)+Math.log10(c[j])>18){
        System.out.println(-1);
        return;
      }
      sum*=c[j];
    }

    if (sum>limit){
      System.out.println(-1);
      return;
    }
    System.out.println(sum);
  }
}
