Print a triangle of stars recursively (bottom-up).

Difficulty: Hard

Phase: 3 · Recursion

XP Reward: 30 XP

Topics: Recursion, Hard

Supported Languages: Python, JavaScript, C, C++, Java

Problem Description

Given N, print an inverted right-angled triangle of stars (row 1 has N stars, row N has 1 star) recursively. Input Format: Read input from standard input (stdin). Output Format: Print the result to standard output (stdout).

Constraints

-10^9 <= N <= 10^9

Examples

Example 1

Input: 3

Output: *** ** *

Explanation: Sample execution for input 3