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.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Date;
import java.util.HashSet;
import java.util.Set;

public class KidsSeating {
	static class Reader {
		final private int BUFFER_SIZE = 1 << 16;
		private final DataInputStream din;
		private final byte[] buffer;
		private int bufferPointer, bytesRead;

		public Reader() {
			din = new DataInputStream(System.in);
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public Reader(String file_name) throws IOException {
			din = new DataInputStream(new FileInputStream(file_name));
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = bytesRead = 0;
		}

		public String readLine() throws IOException {
			byte[] buf = new byte[1024]; // line length
			int cnt = 0, c;
			while ((c = read()) != -1) {
				if (c == '\n')
					break;
				buf[cnt++] = (byte) c;
			}
			return new String(buf, 0, cnt);
		}

		public int nextInt() throws IOException {
			int ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');

			if (neg)
				return -ret;
			return ret;
		}

		public long nextLong() throws IOException {
			long ret = 0;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();
			do {
				ret = ret * 10 + c - '0';
			}
			while ((c = read()) >= '0' && c <= '9');
			if (neg)
				return -ret;
			return ret;
		}

		public double nextDouble() throws IOException {
			double ret = 0, div = 1;
			byte c = read();
			while (c <= ' ')
				c = read();
			boolean neg = (c == '-');
			if (neg)
				c = read();

			do {
				ret = ret * 10 + c - '0';
			}
			while ((c = read()) >= '0' && c <= '9');

			if (c == '.') {
				while ((c = read()) >= '0' && c <= '9') {
					ret += (c - '0') / (div *= 10);
				}
			}

			if (neg)
				return -ret;
			return ret;
		}

		private void fillBuffer() throws IOException {
			bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
			if (bytesRead == -1)
				buffer[0] = -1;
		}

		private byte read() throws IOException {
			if (bufferPointer == bytesRead)
				fillBuffer();
			return buffer[bufferPointer++];
		}

		public void close() throws IOException {
			din.close();
		}
	}

	static Reader s = new Reader();
	static PrintWriter printer = new PrintWriter(System.out);

	private static int[] readArray(int n) {
		int[] arr = new int[n];
		try {
			for (int i = 0; i < n; i++)
				arr[i] = s.nextInt();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return arr;
	}

	private static int[][] readArray(int n, int m) {
		int[][] arr = new int[n][m];
		for (int i = 0; i < n; i++) {
			try {
				for (int j = 0; j < m; j++)
					arr[i][j] = s.nextInt();

			} catch (IOException e) {
				e.printStackTrace();
			}
		}
		return arr;
	}

	private static long[] readLongArray(int n) {
		long[] arr = new long[n];
		for (int i = 0; i < n; i++) {
			try {
				arr[i] = s.nextLong();

			} catch (IOException e) {
				e.printStackTrace();
			}
		}
		return arr;
	}

	private static long[][] readLongArray(int n, int m) {
		long[][] arr = new long[n][m];
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				try {
					arr[i][j] = s.nextLong();

				} catch (IOException e) {
					e.printStackTrace();
				}
			}
		}
		return arr;
	}

	private static int readInt() {
		int n = -1;
		try {
			n = s.nextInt();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return n;
	}

	private static long readLong() {
		long l = -1;
		try {
			l = s.nextLong();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return l;
	}

	private static String readString() {
		String line = "";
		try {
			line = s.readLine();

		} catch (IOException e) {
			e.printStackTrace();
		}
		return line;
	}

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

		return gcd(b, a % b);
	}

	private static void solve() {
		int n = readInt();
		int num = 4 * n;
		while (n-- != 0) {
			printer.print(num + " ");
			num -= 2;
		}
		printer.println();
	}

	public static void main(String[] args) {
		int t = readInt();
		while (t-- != 0)
			solve();

		printer.flush();
	}
}