Spiral Snake Matrix

Given a positive integer \(n\) (\(1 \le n \le 9\)), you are to generate a \(n \times n\) spiral snake matrix. The matrix should be filled by placing numbers starting from \(1\) from the top-left corner, moving in a clockwise spiral. Each number must be printed in a field width of 3 characters (pad with leading spaces if needed).

Example:

Input:
3
Output:
1  2  3
8  9  4
7  6  5

inputFormat

The input consists of a single integer \(n\) (\(1 \le n \le 9\)).

n

outputFormat

Output the \(n \times n\) spiral snake matrix. Each number must be printed in a field of width 3 characters. Each row of the matrix is printed on a new line.

sample

1

  1