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() )
h = (n-1)//2
A = [[ 0 for c in range(n)] for r in range(n) ]
for r in range(n):
	for c in range(n):
		A[ (r+c-h)%n ][ (r-c+h)%n ] = r*n+c+1
for r in range(n):
   print(' '.join( '{:d}'.format(x) for x in A[r] ))