#P710C. Magic Odd Square

    ID: 4598 Type: RemoteJudge 1000ms 256MiB Tried: 0 Accepted: 0 Difficulty: (None) Uploaded By: Tags>constructive algorithmsmath*1500

Magic Odd Square

No submission language available for this problem.

Description

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.

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

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.

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.

Samples

1

1

3

2 1 4
3 5 7
6 9 8