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())
mx = [[0 for x in range(n)] for y in range(n)]
xx = 0
yy = (n-1) // 2 
for i in range(1,n*n+1):
	if mx[xx][yy] == 0:
		mx[xx][yy] = i
	else:
		yy = (yy-1) %n
		xx = (xx+2) %n
		mx[xx][yy] = i
	yy = (yy+1) %n
	xx = (xx-1) %n
for i in range(n):
	for j in range(n-1):
		print(mx[i][j], end = " ")
	print(mx[i][n-1])