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:
import sys

n = int(sys.stdin.readline().split()[0])

even = range(2, n * n, 2)
odd = range(1, n * n + 1, 2)

for i in range(n):
	for j in range(n):
		if abs(n / 2 - i) + abs(n / 2 - j) <= n / 2:
			print odd[-1],
			odd = odd[: -1]
		else:
			print even[-1],
			even = even[: -1]

	print ""