You are given several queries. In the i-th query you are given a single positive integer ni. You are to represent ni as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such splittings.

An integer greater than 1 is composite, if it is not prime, i.e. if it has positive divisors not equal to 1 and the integer itself.

Input

The first line contains single integer q (1 ≤ q ≤ 105) — the number of queries.

q lines follow. The (i + 1)-th line contains single integer ni (1 ≤ ni ≤ 109) — the i-th query.

Output

For each query print the maximum possible number of summands in a valid splitting to composite summands, or -1, if there are no such splittings.

Examples

Input

1
12


Output

3


Input

2
6
8


Output

1
2


Input

3
1
2
3


Output

-1
-1
-1

Note

12 = 4 + 4 + 4 = 4 + 8 = 6 + 6 = 12, but the first splitting has the maximum possible number of summands.

8 = 4 + 4, 6 can't be split into several composite summands.

1, 2, 3 are less than any composite number, so they do not have valid splittings.
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        for (int k=0;k<n;k++) {
            int value = sc.nextInt();
            int cnt = value/4;
            int left = value%4;
            if (left==0) {
                System.out.println(cnt);
            } else if (cnt==0) {
                System.out.println(-1);
            } else if (left==1 && cnt>=2) {
                System.out.println(cnt-2+1);
            } else if (left==2 && cnt>=1) {
                System.out.println(cnt-1+1);
            } else if (left==3 && cnt>=3) {
                System.out.println(cnt-3+2);
            } else {
                System.out.println(-1);
            }
        }
    }
}
  	 		 					     		     	  	 	