Isosceles Triangle Drawing

Given an odd integer n, your task is to draw an isosceles triangle on an n x n grid. The triangle should be drawn using the * character, and the rest of the grid should be filled with spaces. The triangle's base will have exactly n asterisks and it must be centered in the grid.

The conditions on n are as follows:

• n must be odd
• 1 \(\le n \le\) 99

If the input does not satisfy these conditions, output the error message: "n must be an odd integer between 1 and 99."

Example

Input: 5
Output:
*

inputFormat

The input consists of a single integer n read from standard input (stdin). It is guaranteed that for valid cases, 1 \(\le n \le\) 99 and n is odd.

outputFormat

Print the isosceles triangle on standard output (stdout), with each row on a new line. If the input is invalid (i.e., n is even, less than 1, or greater than 99), print the error message exactly as follows: n must be an odd integer between 1 and 99.

## sample

1

*

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