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())
ans=[[0 for i in range(n)] for j in range(n)]
# for i in ans:
#     print(i)
start=0
od=1
do=n
for i in range(n//2,n):
    for j in range(start, start+do):
        ans[i][j]=od
        od+=2
    start+=1
    do-=2
start=n//2
do=1
for i in range(0,n//2):
    for j in range(start, start+do):
        ans[i][j]=od
        od+=2
    start-=1
    do+=2
ev=2
for i in ans:
    for j in i:
        if j:
            print(j,end=' ')
        else:
            print(ev,end=' ')
            ev+=2
    print('')