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 PYTHON3):

Solution:
def m(n):
    for r in range(1, n + 1):
        print(' '.join('%*i' % (len(str(n**2)), cell) for cell in
                       (n * ((r + col - 1 + n // 2) % n) +
                       ((r + 2 * col - 2) % n) + 1
                       for col in range(1, n + 1))))
n=int(input())
m(n)