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.Arrays;
import java.util.Scanner;

public class Codechef {

    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        long q = input.nextLong();
        //4 is the smallest composite number ,so if we want the 
        //maximum possible number of summands, we have to divide x by 4
        for (int i = 0; i < q; i++) {
            long x = input.nextLong();
            if (x != 1 && x != 2 && x != 3 && x != 5 && x != 7 && x != 11) {
                if (x % 4 == 1) {//if we get remainder 1 ,then we have to substract 9 from x, and then x will be divisable by 4
                    System.out.println((x - 9) / 4 + 1);
                } else if (x % 4 == 2) {//if we get remainder 2 ,then we have to substract 6 from x, and then x will be divisable by 4
                    System.out.println((x - 6) / 4 + 1);
                } else if (x % 4 == 3) {//if we get remainder 3 ,then we have to substract 15 from x, and then x will be divisable by 4
                    System.out.println((x - 15) / 4 + 2);
                } else if (x % 4 == 0) {
                    System.out.println(x / 4);
                } else {
                    System.out.println("-1");
                }
            } else {
                System.out.println("-1");
            }
        }

    }

}
