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 = eval(input())
lst = [[None]*n for i in range(n)]
row = 0
col = int((n-1)/2)
for i in range(1,n**2+1):
    if lst[row][col] == None:
        lst[row][col] = i
    else:
        row += 2
        col -= 1
        if row > (n-1) :row-=n
        if col == -1:col+=n
        lst[row][col] = i
    row -= 1
    col += 1
    if row == -1:row +=n
    if col == n :col -=n
for i in lst:
    for j in i:
        print(j,end='\t')
    print()