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())
magic_constant = (n * (n ** 2 + 1)) / 2
x, y = (n // 2, 0)
cur_number = 1
field = [[-1 for i in range(n)] for j in range(n)]
for i in range(n ** 2):
    #for i in field: print(*i)
    #print(x, y)
    field[y][x] = cur_number
    cur_number += 1
    if field[(y - 1) % n][(x + 1) % n] != -1:
        y = (y + 1) % n
    else:
        x = (x + 1) % n
        y = (y - 1) % n
#field[y][x] = cur_number
for i in field:
    print(*i)