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 PYTHON):

Solution:
n = int(raw_input())
ans = [[0 for x in range(n)] for x in range(n)]
cnt = 1
cnt2 = 2
for i in range(n):
    for j in range(n):
        if abs(i-n/2)+abs(j-n/2)<=n/2:
            ans[i][j] = cnt
            cnt += 2
        else:
            ans[i][j] = cnt2
            cnt2 += 2
for i in ans:
    print " ".join(map(str,i))