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:
n=int(input())
o=1
e=2
import sys
for i in range(n):
    for j in range(n):
        if abs(i-n//2)+abs(j-n//2)<=n//2:
            sys.stdout.write(str(o))
            o+=2
        else:
            sys.stdout.write(str(e))
            e+=2
        sys.stdout.write(' ')
    sys.stdout.write('\n')