Number Pattern

Given an integer n, generate a square pattern of numbers forming a matrix of size \( (2n-1) \times (2n-1) \).

The element at position \( (i,j) \) (0-indexed) is defined as:

\( \text{Element}_{i,j} = n - \min\{\min(i, 2n-2-i),\; \min(j, 2n-2-j)\} \)

This produces a pattern that is symmetric both vertically and horizontally. Each row of the pattern should be printed on a new line, and the numbers in each row should be separated by a single space.

Example:

Input: 2
Output:
2 2 2
2 1 2
2 2 2

inputFormat

An integer n (1 ≤ n ≤ 50).

outputFormat

Print the generated number pattern. Each row must be printed on a new line and the numbers in a row should be separated by a single space.## sample

1

1