Problem: Find an n × n matrix with different numbers from 1 to n2, so the sum in each row, column and both main diagonals are odd.

Input

The only line contains odd integer n (1 ≤ n ≤ 49).

Output

Print n lines with n integers. All the integers should be different and from 1 to n2. The sum in each row, column and both main diagonals should be odd.

Examples

Input

1


Output

1


Input

3


Output

2 1 4
3 5 7
6 9 8

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int a[50][50];
int main() {
  int n;
  cin >> n;
  for (int i = 0; i < n / 2; i++) {
    int l = n / 2 - i;
    for (int j = 0; j < l; j++) {
      int x1 = i, x2 = n - i - 1;
      int y1 = j, y2 = n - j - 1;
      a[x1][y1] = 1;
      a[x1][y2] = 1;
      a[x2][y1] = 1;
      a[x2][y2] = 1;
    }
  }
  int o = 1, e = 2;
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < n; j++) {
      if (a[i][j]) {
        printf("%d ", e);
        e += 2;
      } else {
        printf("%d ", o);
        o += 2;
      }
    }
    cout << endl;
  }
}