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 = input()
even = range(2, n*n+1, 2)
odd = range(1, n*n+1, 2)


ans = []

start = 1

for i in xrange(n):
    a = [odd.pop() for x in xrange(start)]
    to_add = [even.pop() for x in xrange( (n-start) / 2)] + a + [even.pop() for x in xrange( (n-start) / 2) ]
    ans.append( to_add )
    if i < (n-1) / 2:
        start += 2
    else:
        start -= 2

for i in ans:
    for j in i:
        print j,
    print