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:
/*
 ******************************************************************************
 * MIT License                                                                *
 * Copyright (c) (2020 - Present) Viral Lalakia                                 *
 ******************************************************************************
 */

//package com.virallalakia.codeforces;

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Scanner;

/**
 * This is a solution for Kids Seating problem of Codeforces.
 * This is verified on https://codeforces.com. Package definition needs to be removed before submission.
 * 
 * @author Viral Lalakia 
 */
public class KidsSeating {

  private static final Scanner SYS_IN =
      new Scanner(new BufferedReader(new InputStreamReader(System.in)));

  /**
   * Main method for solution. Calls to evaluate one or more test cases.
   */
  public static void main(String[] args) {
    final int t = SYS_IN.nextInt(); // total test cases
    SYS_IN.nextLine();
    for (int ti = 0; ti < t; ti++) {
      evaluateCase();
    }
    SYS_IN.close();
  }

  /**
   * Evaluate a test case. Handles I/O.
   */
  private static void evaluateCase() {
    try {
      int n = SYS_IN.nextInt();
      SYS_IN.nextLine();
      for (int ni = 4 * n; ni > 2 * n; ni -= 2) {
        System.out.print(ni + " ");
      }
      System.out.println();
    } catch (Exception e) {}
  }
}