Increasing Star Triangle

Source: Phước Hưng OJ

Problem Statement

Given n, print n lines. The 1-based row i contains exactly i consecutive * characters and no spaces.

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 increase from 1 to 4.

Example 2

Input:

1

Output:

*

Explanation:

A single row contains one star.