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 PYTHON):

Solution:
n = int(raw_input())
odd = 1
even = 2
valve = (n-1)/2
for i in range(n):
    for j in range(n):
        if( (i+j) < valve or (i+n-1-j) < valve or (n-1-i+j) < valve or (n-1-i + n-1-j)<valve ):
            print even,
            even = even + 2
        else:
            print odd,
            odd = odd + 2
    print ""