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:
'''
Created on Aug 24, 2016

@author: Md. Rezwanul Haque
'''
n = int(input())
c = n//2 + 1
#print(c)
odd = 1
even = 2
for i in range(1,n+1):
    s = ""
    for j in range(1,n+1):
        if abs(c - i) + abs(c - j) <= n//2:
            s = s+str(odd) + " "
            odd += 2 
        else:
            s = s+str(even) + " "
            even += 2
    print(s)