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 n;
int main() {
  cin >> n;
  for (int i = 1; i <= n; i++) {
    for (int j = 1; j < n; j++) {
      cout << n * ((i + j - 1 + n / 2) % n) + ((i + 2 * j - 2) % n) + 1 << " ";
    }
    cout << n * ((i + n - 1 + n / 2) % n) + ((i + 2 * n - 2) % n) + 1 << endl;
  }
}