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.io.BufferedReader;
import java.io.ByteArrayInputStream;
import java.io.File;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.HashMap;
import java.util.HashSet;
import java.util.InputMismatchException;
import java.util.LinkedList;
import java.util.Map;
import java.util.Queue;
import java.util.Scanner;
import java.util.Stack;
import java.util.StringTokenizer;


/**
 *
 * @author Kayali
 */
public class Aday {
  public static void main(String[] args) throws Exception {
      FastReader in = new FastReader();
      PrintWriter pw = new PrintWriter(System.out);
     int n = in.nextInt();
     int k=0;
     int a[][] = new int[n][n];
      for (int i = 0; i < n/4; i++) {
          for (int j = 0; j < n/4; j++) {
              for (int l = 0; l < 4; l++) {
                  for (int m = 0; m < 4; m++) {
                      a[i*4+l][j*4+m]=k;
                      k++;
                  }
              }
          }
      }
      for (int i = 0; i < n; i++) {
          for (int j = 0; j < n; j++) {
              pw.print(a[i][j]+" ");
          }
           pw.println();
      }
	
     
       pw.flush();
     pw.close();
    
        
    }
 
 
   static class FastReader {
 
        StringTokenizer st;
        BufferedReader br;
 
        public FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        private FastReader(File file) {
            throw new UnsupportedOperationException("Not supported yet."); //To change body of generated methods, choose Tools | Templates.
        }
 
        public String next() throws IOException {
            if (st == null || !st.hasMoreTokens()) {
                st = new StringTokenizer(br.readLine());
            }
            return st.nextToken();
        }
 
        public boolean hasNext() throws IOException {
            if (st != null && st.hasMoreTokens()) {
                return true;
            }
            String s = br.readLine();
            if (s == null || s.isEmpty()) {
                return false;
            }
            st = new StringTokenizer(s);
            return true;
        }
 
        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
 
        public long nextLong() throws IOException {
            return Long.parseLong(next());
        }
 
        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
 
        public String nextLine() throws IOException {
            return br.readLine();
        }
    }
   
   
}