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())
t=n//2
r=['0'*(i+1)+'1'*(t-i-1)for i in range(t)]
r=[x+'1'+x[::-1]for x in r]
r+=['1'*n]+r[::-1]
a=1
b=2
for i in r:
    q=''
    for j in i:
        if j=='0':t=b;b+=2
        else:t=a;a+=2
        q+=str(t)+' '
    print(q)