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:
import sys

n = int(sys.stdin.readline())

evenIndex = 1
oddIndex = 1
center = (n-1)/2

for i in range(0, n):
    ret = ''
    for j in range(0, n):
        if abs(i-center)+abs(j-center)<=center:
            ret += str(2*oddIndex-1)+' '
            oddIndex += 1
        else:
            ret += str(2*evenIndex)+' '
            evenIndex += 1
    print ret