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.nio.charset.Charset;
import java.util.*;
//@Author Why_Do_You_Want_To_Know_My_Name?

public class Main {
    public static void main(String[] args) {
        Charset charset = Charset.forName("ascii");
        FastIO sc = new FastIO(System.in, System.out, charset);
        int t = sc.readInt();
        while (t-- > 0) {
            int n = sc.readInt();
            int start = 2 * n;
            for (int i = 0; i < n - 1; i++) {
                System.out.print(start + " ");
                start += 2;
            }
            System.out.println(start);
            sc.flush();
        }
    }
}

class FastIO {
    public final StringBuilder cache = new StringBuilder(1 << 20);
    private final InputStream is;
    private final OutputStream os;
    private final Charset charset;
    private StringBuilder defaultStringBuf = new StringBuilder(1 << 8);
    private byte[] buf = new byte[1 << 13];
    private int bufLen;
    private int bufOffset;
    private int next;

    public FastIO(InputStream is, OutputStream os, Charset charset) {
        this.is = is;
        this.os = os;
        this.charset = charset;
    }

    public FastIO(InputStream is, OutputStream os) {
        this(is, os, Charset.forName("ascii"));
    }

    private int read() {
        while (bufLen == bufOffset) {
            bufOffset = 0;
            try {
                bufLen = is.read(buf);
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
            if (bufLen == -1) {
                return -1;
            }
        }
        return buf[bufOffset++];
    }

    public void skipBlank() {
        while (next >= 0 && next <= 32) {
            next = read();
        }
    }

    public int readInt() {
        int sign = 1;

        skipBlank();
        if (next == '+' || next == '-') {
            sign = next == '+' ? 1 : -1;
            next = read();
        }

        int val = 0;
        if (sign == 1) {
            while (next >= '0' && next <= '9') {
                val = val * 10 + next - '0';
                next = read();
            }
        } else {
            while (next >= '0' && next <= '9') {
                val = val * 10 - next + '0';
                next = read();
            }
        }

        return val;
    }

    public long readLong() {
        int sign = 1;

        skipBlank();
        if (next == '+' || next == '-') {
            sign = next == '+' ? 1 : -1;
            next = read();
        }

        long val = 0;
        if (sign == 1) {
            while (next >= '0' && next <= '9') {
                val = val * 10 + next - '0';
                next = read();
            }
        } else {
            while (next >= '0' && next <= '9') {
                val = val * 10 - next + '0';
                next = read();
            }
        }

        return val;
    }

    public double readDouble() {
        boolean sign = true;
        skipBlank();
        if (next == '+' || next == '-') {
            sign = next == '+';
            next = read();
        }

        long val = 0;
        while (next >= '0' && next <= '9') {
            val = val * 10 + next - '0';
            next = read();
        }
        if (next != '.') {
            return sign ? val : -val;
        }
        next = read();
        long radix = 1;
        long point = 0;
        while (next >= '0' && next <= '9') {
            point = point * 10 + next - '0';
            radix = radix * 10;
            next = read();
        }
        double result = val + (double) point / radix;
        return sign ? result : -result;
    }

    public String readString(StringBuilder builder) {
        skipBlank();

        while (next > 32) {
            builder.append((char) next);
            next = read();
        }

        return builder.toString();
    }

    public String readString() {
        defaultStringBuf.setLength(0);
        return readString(defaultStringBuf);
    }

    public int readLine(char[] data, int offset) {
        int originalOffset = offset;
        while (next != -1 && next != '\n') {
            data[offset++] = (char) next;
            next = read();
        }
        return offset - originalOffset;
    }

    public int readString(char[] data, int offset) {
        skipBlank();

        int originalOffset = offset;
        while (next > 32) {
            data[offset++] = (char) next;
            next = read();
        }

        return offset - originalOffset;
    }

    public int readString(byte[] data, int offset) {
        skipBlank();

        int originalOffset = offset;
        while (next > 32) {
            data[offset++] = (byte) next;
            next = read();
        }

        return offset - originalOffset;
    }

    public char readChar() {
        skipBlank();
        char c = (char) next;
        next = read();
        return c;
    }

    public void flush() {
        try {
            os.write(cache.toString().getBytes(charset));
            os.flush();
            cache.setLength(0);
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    public boolean hasMore() {
        skipBlank();
        return next != -1;
    }
}