Problem: Today the kindergarten has a new group of n kids who need to be seated at the dinner table. The chairs at the table are numbered from 1 to 4n. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers a and b (a ≠ b) will indulge if: 

  1. gcd(a, b) = 1 or, 
  2. a divides b or b divides a. 



gcd(a, b) — the maximum number x such that a is divisible by x and b is divisible by x.

For example, if n=3 and the kids sit on chairs with numbers 2, 3, 4, then they will indulge since 4 is divided by 2 and gcd(2, 3) = 1. If kids sit on chairs with numbers 4, 6, 10, then they will not indulge.

The teacher really doesn't want the mess at the table, so she wants to seat the kids so there are no 2 of the kid that can indulge. More formally, she wants no pair of chairs a and b that the kids occupy to fulfill the condition above.

Since the teacher is very busy with the entertainment of the kids, she asked you to solve this problem.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.

Each test case consists of one line containing an integer n (1 ≤ n ≤ 100) — the number of kids.

Output

Output t lines, which contain n distinct integers from 1 to 4n — the numbers of chairs that the kids should occupy in the corresponding test case. If there are multiple answers, print any of them. You can print n numbers in any order.

Example

Input


3
2
3
4


Output


6 4
4 6 10
14 10 12 8

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

/**
    @author KhanhNguyenn
 */
 
public class A{
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task solver = new Task();
        solver.solve(in, out);
        out.close();
    }
    // main solver
    static class Task{
        public void solve(InputReader in, PrintWriter out) {
            int t= in.nextInt();
            while(t-->0) {
                int n= in.nextInt();
                List<Integer> arr= new ArrayList<>();
                int cur=2*n+2;
                while(n>0) {
                    //check valid cur
                    boolean valid=true;
                    for(int i=0;i<arr.size();i++) {
                        if(cur% arr.get(i)==0){
                            valid=false;
                            break;
                        }
                    }
                    if(valid) {
                        arr.add(cur);
                        n--;
                    }
                    cur+=2;
                }
                for(int k: arr){
                    out.print(k+" ");
                }
                out.println();
            }
        }
    }
    static class Pair implements Comparable<Pair>{
        public int x, y;
        public Pair(int x, int y){
            this.x = x;
            this.y = y;
        }
 
        @Override
        public int compareTo(Pair o) {
            if (this.x > o.x){
                return 1;
            }
            else if (this.x < o.x){
                return -1;
            }
            else{
                return Integer.compare(this.y, o.y);
            }
        }
    }
    // fast input reader class;
    static class InputReader {
        BufferedReader br;
        StringTokenizer st;
 
        public InputReader(InputStream stream) {
            br = new BufferedReader(new InputStreamReader(stream));
        }
 
        public String nextToken() {
            while (st == null || !st.hasMoreTokens()) {
                String line = null;
                try {
                    line = br.readLine();
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
                if (line == null) {
                    return null;
                }
                st = new StringTokenizer(line);
            }
            return st.nextToken();
        }
 
        public int nextInt() {
            return Integer.parseInt(nextToken());
        }
        public double nextDouble(){
            return Double.parseDouble(nextToken());
        }
        public long nextLong(){
            return Long.parseLong(nextToken());
        }
    }
}