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())
l = [[0 for i in range(n)] for j in range(n)]
r = 1
# from math import ceil
for i in range(n):
	if i <= int(n/2):
		for j in range(int(n/2)-i,int(n/2)+i+1):
			l[i][j] = r
			r = r + 2
	else:
		for j in range(i-int(n/2),n-(i-int(n/2))):
			l[i][j] = r
			r = r + 2

r = 2
for i in range(n):
	for j in range(n):

		if l[i][j] == 0:
			l[i][j] = r
			r = r + 2

for i in range(n):
	print(*l[i])