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())
o=[i for i in range(1,n**2 +1,2)]
e=[i for i in range(2,n**2,2)]

x=[[0 for i in range(n)] for j in range(n)]

for i in range(n):
    y=n//2
    if y-i>=0:
        for j in range(y-i,y+i+1):
            x[i][j]=o.pop()
    else:
        for j in range(y+i-n+1,y-i+n):
            x[i][j]=o.pop()
    for j in range(n):
        if x[i][j]==0:
            x[i][j]=e.pop()

for i in range(n):
    print(*x[i])