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=input()
k=n/2
N=range(n)
x,y=1,1
for i in N:
  for j in N:
    if abs(i-k)+abs(j-k)>k:
      print x*2,
      x+=1
    else:
      print y*2-1,
      y+=1
  print