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 PYTHON):

Solution:
n = int(raw_input())

odd = 1
ev = 2
k=n/2
m = 1
for i in range(n/2):
	for i in range(k):
		print ev,
		ev+=2
	for i in range(m):
		print odd,
		odd+=2
	m+=2
	for i in range(k):
		print ev,
		ev+=2
	k-=1
	print

for i in range(n):
	print odd,
	odd+=2

print


k=1
m = n-2
for i in range(n/2):
	for i in range(k):
		print ev,
		ev+=2
	for i in range(m):
		print odd,
		odd+=2
	m-=2
	for i in range(k):
		print ev,
		ev+=2;
	k+=1
	print