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 = input()

arr = [ [ 0 for i in range(n) ] for i in range(n) ]

x = 0
k = 1
num = 1
for i in range(n/2,-1,-1):
    for j in range(i, i+k):
        arr[x][j] = num
        num += 2
    k += 2
    x += 1

x = n-1
k = 1
for i in range(n/2,0,-1):
    for j in range(i, i+k):
        arr[x][j] = num
        num += 2
    k += 2
    x -= 1

num = 2
for i in range(n):
    for j in range(n):
        if arr[i][j] == 0:
            arr[i][j] = num
            num += 2
            
for i in range(n):
    for j in range(n):
        print arr[i][j],
    print