Decreasing Star Triangle

Source: Phước Hưng OJ

Problem Statement

Given n, print n rows. Row i contains n-i+1 consecutive * characters, starting with n stars and ending with one.

Input

One line containing exactly one integer n.

Output

Print exactly the required output described above. Do not print prompts, extra characters, or blank lines. For numerical rows, separate adjacent values with a single space and no trailing space.

Subtasks

• Subtask 1 (20%): 1 <= n <= 3.
• Subtask 2 (30%): 1 <= n <= 10.
• Subtask 3 (50%): 1 <= n <= 30.

Examples

Example 1

Input:

4

Output:

****
***
**
*

Explanation:

The row lengths are 4,3,2,1.

Example 2

Input:

1

Output:

*

Explanation:

The single row contains one star.