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C. Magic Odd Square
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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