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())
it = n//2
n1,n2 = 1,2
A = []
for i in range(n):
    A.append([])
    for j in range(n):
        if j >= it and j <= n-it-1:
            A[i].append(n1)
            n1+=2;
        else:
            A[i].append(n2)
            n2+=2
    if i < n/2-1:
        it-=1
    else:
        it+=1

for i in A:
    for j in i:
        print(j,end = ' ')
    print()