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())
m=n>>1
a=1
b=2
for x in range(n):
	l=abs(m-x)
	r=n-l
	for y in range(l):
		print(b,end=' ')
		b+=2
	for y in range(l,r):
		print(a,end=' 'if n-1>y else'\n')
		a+=2
	for y in range(r,n):
		print(b,end=' 'if n-1>y else'\n')
		b+=2