Problem2026--Magic Odd Square

2026: Magic Odd Square

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

Description

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

Source/Category