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())
c = n // 2
m = []
o = 1
e = 2
for i in range(n):
    row = []
    for j in range(n):
        if abs(i - c) + abs(j - c) <= c:
            row.append(str(o))
            o += 2
        else:
            row.append(str(e))
            e += 2
    m.append(row)
for row in m:
    print(" ".join(row))