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())
nn = n**2
Es = [2*i for i in range(1,nn//2+1)]
Os = [2*i + 1 for i in range(nn//2+1)]

k = n//2
for i in range(n//2):
    o = [str(Es.pop()) for i in range(k)] + [str(Os.pop()) for q in range(n-2*k)] + [str(Es.pop()) for i in range(k)]
    print(' '.join(o))
    k-=1
print(' '.join([str(Os.pop()) for i in range(n)]))
for i in range(n//2):
    k+=1
    o = [str(Es.pop()) for i in range(k)] + [str(Os.pop()) for q in range(n-2*k)] + [str(Es.pop()) for i in range(k)]
    print(' '.join(o))