Print sum of series 1 + 2 + 3 + ... + n recursively and display each step.

Difficulty: Hard

Phase: 3 · Recursion

XP Reward: 30 XP

Topics: Recursion, Hard

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

Problem Description

Given N, calculate sum 1 to N and print running prefix sums on each recursive step. 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: 1 3 6

Explanation: Sample execution for input 3