Problem: Let us define a magic grid to be a square matrix of integers of size n × n, satisfying the following conditions. 

  * All integers from 0 to (n^2 - 1) inclusive appear in the matrix exactly once. 
  * [Bitwise XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of all elements in a row or a column must be the same for each row and column. 



You are given an integer n which is a multiple of 4. Construct a magic grid of size n × n.

Input

The only line of input contains an integer n (4 ≤ n ≤ 1000). It is guaranteed that n is a multiple of 4.

Output

Print a magic grid, i.e. n lines, the i-th of which contains n space-separated integers, representing the i-th row of the grid.

If there are multiple answers, print any. We can show that an answer always exists.

Examples

Input


4


Output


8 9 1 13
3 12 7 5
0 2 4 11
6 10 15 14

Input


8


Output


19 55 11 39 32 36 4 52
51 7 35 31 12 48 28 20
43 23 59 15 0 8 16 44
3 47 27 63 24 40 60 56
34 38 6 54 17 53 9 37
14 50 30 22 49 5 33 29
2 10 18 46 41 21 57 13
26 42 62 58 1 45 25 61

Note

In the first example, XOR of each row and each column is 13.

In the second example, XOR of each row and each column is 60.

Solution (in JAVA):

Solution:

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

public class MagicGrid {

	// https://codeforces.com/contest/1208/problem/C
	
	public static void main(String[] args) throws IOException, FileNotFoundException {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		//BufferedReader in = new BufferedReader(new FileReader("MagicGrid"));

		int n = Integer.parseInt(in.readLine());
		
		int[][] arr = new int[n][n];
		int curnum=0;
		for (int i=0; i<n/2; i++) {
			for (int j=0; j<n/2; ++j) {
				arr[i][j] = curnum*4+0;
				arr[i+n/2][j] = curnum*4+1;
				arr[i][j+n/2] = curnum*4+2;
				arr[i +n/2][j+n/2] = curnum*4+3;
				curnum++;
			}
		}
		 
		for (int i=0; i<n; i++) {
			StringBuilder c = new StringBuilder();
			for (int j=0; j<n; j++) {
				c.append(arr[i][j]);
				c.append(" ");
			}
			System.out.println(c);
		}
		
	}
}