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:
n=int(input())
a=2
b=1
for i in range(n):
	for j in range(n):
		if j>=i and j!=n//2 and j<=n-1-i:
			print(a,end=' ')
			a=a+2
		
		elif j>=n-1-i and j!=n//2 and j<=i:
			print(a,end=' ')
			a=a+2
		else:
			print(b,end=' ')
			b=b+2
	print()