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 = [[0 for i in range(n)] for i in range(n)]
c = n//2
odds = (n*n+1)//2

for i in range(n):
	for j in range(n):
		if abs(i-c)+abs(j-c) <= c:
			A[i][j] = 1

o, e = 1, 2
for i in range(n):
	for j in range(n):
		if A[i][j]==0:
			A[i][j] = e
			e += 2
		else:
			A[i][j] = o
			o += 2

for row in A:
	print(*row)