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, s, t = input(), 1, 2
m = n / 2
for i in range(m):
	for j in range(n):
		if m - i <= j <= m + i:
			print s,
			s += 2
		else:
			print t,
			t += 2
	print ''
for i in range(n):
	print s,
	s += 2
print ''
for i in range(m + 1, n):
	for j in range(n):
		if i - m <= j < n - (i - m):
			print s,
			s += 2
		else:
			print t,
			t += 2
	print ''