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())
odd = 1
ev = 2
mid = n/2+1
x=mid
y=mid
for i in range(0,n):
    s =""
    for j in range(1,n+1):
        if j>=x and j<=y:
            s = s+ str(odd) +" "
            odd+=2
        else:
            s = s+ str(ev) +" "
            ev+=2
    print s
    if(i>=n/2):
        x+=1
        y-=1
    else:
        x-=1
        y+=1