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())
lst = [[0 for _ in range(n)] for _ in range(n)]
x = n//2
y =  0
for i in range(1,n*n+1):
    lst[y%n][x%n] = i
    x+=1
    y -= 1
    if lst[y%n][x%n]!= 0:
        x-=1
        y+=2
for i in lst:
    for j in i:
        print(j, end=" ")
    print()