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:
import sys

n = int(input())
matrix = [[0]*n for _ in range(n)]
num = 1
for i, s, t in zip(range(n), range(n//2, -1, -1), range(n//2+1, n+1)):
    for j in range(s, t):
        matrix[i][j] = num
        num += 2
for i, s, t in zip(range(n//2+1, n), range(1, n), range(n-1, -1, -1)):
    for j in range(s, t):
        matrix[i][j] = num
        num += 2

num = 2
for i in range(n):
    for j in range(n):
        if matrix[i][j] == 0:
            matrix[i][j] = num
            num += 2

for row in matrix:
    print(*row)