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())
even = 2
odd = 1
for i in xrange(n):
    i = min(i, n - 1 - i)
    #print i
    #print (n - i*2-1) / 2, n - (n - i*2-1) / 2
    for j in xrange(n):
        if (j<(n-i*2-1)/2 or j>=n-(n-i*2-1)/2):
            if j < n-1:
                print even,
            else:
                print even
            even+=2
        else:
            if j < n - 1:
                print odd,
            else:
                print odd
            odd += 2