Rearrange an array such that positive and negative numbers alternate in position.

Difficulty: Medium

Phase: 6 · Mixed Logical Challenges

XP Reward: 20 XP

Topics: Mixed Logical Challenges, Medium

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

Problem Description

Given array with equal count of positive and negative integers, rearrange them so positive and negative numbers alternate starting with positive. 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: 6 3 1 -2 -5 2 -4

Output: 3 -2 1 -5 2 -4

Explanation: Sample execution for input 6 3 1 -2 -5 2 -4