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:
sz = int(input())

odd_no = 1
even_no = 2

for z in range(sz):
	for q in range(sz):
		if ((z + q) >= (sz//2) and (z+q <= (sz//2 + sz-1)) and ((q-z) <= sz//2) and ((z-q) <= sz//2)):
			print(odd_no, end = ' ')
			odd_no+=2
		else:
			print(even_no, end = ' ')
			even_no +=2
	print("")