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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
template <class X, class Y>
void amax(X &x, const Y &y) {
  if (x < y) x = y;
}
template <class X, class Y>
void amin(X &x, const Y &y) {
  if (x > y) x = y;
}
const int INF = 1e9 + 10;
const long long INFL = (long long)1e18 + 10;
const int MAX = 1010;
const int A[4][4] = {
    {8, 9, 1, 13}, {3, 12, 7, 5}, {0, 2, 4, 11}, {6, 10, 15, 14}};
int n;
int res[MAX][MAX];
void process() {
  cin >> n;
  int c = n / 4;
  for (int i = 0; i < c; i++) {
    for (int j = 0; j < c; j++) {
      int x = (i * c + j) * 16;
      for (int k = 0; k < 4; k++)
        for (int l = 0; l < 4; l++) {
          res[k + i * 4][l + j * 4] = A[k][l] + x;
        }
    }
  }
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < n; j++) cout << res[i][j] << " ";
    cout << '\n';
  }
}
int main() {
  ios_base::sync_with_stdio(false);
  process();
}