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){
      // 入力
      Scanner sc = new Scanner(System.in);
      int N = sc.nextInt();
      long[] A = new long[N];
      long result = 1L;
      
      for(int i = 0; i < N; i++){
        A[i] = sc.nextLong();
        if(A[i] == 0){
          result = 0L;
          break;
        }
      }
      
      // 計算
      if(result != 0){
        for(int i = 0; i < N; i++){
          long old = result;
          result *= A[i];
          if(result > 1000000000000000000L || result < old){
            result = -1;
            break;
          }
        }
      }
      
      
      // 出力
      System.out.println(result);
    }
    
}