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:
def matrix(k):
	for i in range(len(k)):
		for j in range(len(k[i])):
			print(k[i][j],end=' ')
		print("\n",end='')
n=int(input())
l = [[0]*n for _ in range(n)]
s=1;
x=int((n+1)/2)
y=int((n-1)/2)
for j in range(x):
	for i in range(y-j,y+j+1,1):
		l[i][j]=s
		s+=2
for j in range(x,n,1):
	for i in range(j-x+1,x-j+n-2+1,1):
		l[i][j]=s
		s+=2
s=2
for i in range(n):
	for j in range(n):
		if l[i][j]==0:
			l[i][j]=s
			s+=2
matrix(l)