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.util.*;
import java.lang.*;
import java.io.*;

public final class kids{
    public static void main(String[] args) throws java.lang.Exception{
        Reader r = new Reader();
        r.init(System.in);
        int t = r.nextInt();
        while(t-->0){
            int n = r.nextInt();
            ArrayList<Integer> a = new ArrayList<>();
            a.add(4);
            for(int i=6;i<=4*n;i+=2){
                boolean flag = false;
                int num=0;
                for(int j=0;j<a.size();j++){
                    int g = gcd(a.get(j),i);
                    if(g==1 || a.get(j)%i==0 || i%a.get(j)==0){
                        if(!flag) num = a.get(j);
                        flag = true; 
                    }
                }
                if(flag)
                    a.remove(new Integer(num));
                a.add(i);
                
            }
            if(n==1) 
                System.out.println("4");
            else{
                for(int i=0;i<a.size();i++)
                    System.out.print(a.get(i)+" ");
                System.out.println();
            }
        }

    
    }

    static int gcd(int a, int b){
        if(a==0) return b;
        return gcd(b%a, a);
    }

    /** Class for buffered reading int and double values */
    static class Reader {
        static BufferedReader reader;
        static StringTokenizer tokenizer;
    
        /** call this method to initialize reader for InputStream */
        static void init(InputStream input) {
            reader = new BufferedReader(
                        new InputStreamReader(input) );
            tokenizer = new StringTokenizer("");
        }
    
        /** get next word */
        static String next() throws IOException {
            while ( ! tokenizer.hasMoreTokens() ) {
                //TODO add check for eof if necessary
                tokenizer = new StringTokenizer(
                    reader.readLine() );
            }
            return tokenizer.nextToken();
        }
    
        static int nextInt() throws IOException {
            return Integer.parseInt( next() );
        }
    
        static double nextDouble() throws IOException {
            return Double.parseDouble( next() );
        }
    }
}