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.
//package com.example.programmingpractice;

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Scanner;

public class CodeforcesNT {

    public static void main (String[] args) throws Exception{
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int Q = Integer.parseInt(br.readLine());
        StringBuilder sb = new StringBuilder();
        int[] corners = {0, -1, -1, -1, 1, -1, 1, -1, 2, 1, 2, -1, 3, 2, 3, 2};
        for(int q = 0; q<Q; q++) {
            int n = Integer.parseInt(br.readLine());
            if(n<=15) {sb.append(corners[n]).append('\n'); continue;}
            int res = n/4;
            int rem = n%4;
            if(rem == 0 | rem == 2) sb.append(res).append('\n');
            else sb.append(res-1).append('\n');
        }
        System.out.print(sb);
    }
}
