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:
#!/usr/bin/env	python
#-*-coding:utf-8 -*-
n=int(input())
i=j=n>>1
a=1
b=2
for _ in range(n):
	for y in range(n):
		if min(i,j)<=y<=max(i,j):
			c=a
			a+=2
		else:
			c=b
			b+=2
		print(c,end=' 'if n-1>y else'\n')
	i-=1
	j+=1
	if 0>i:i,j=n-2,1