You are given an integer, array nums, where exactly half of the elements are even, and the other half are odd.

Rearrange nums such that:

• All even numbers are placed at even indexes $[0, 2, 4, ...]$.

• All odd numbers are placed at odd indexes $[1, 3, 5, ...]$.

You may return any valid arrangement that satisfies these conditions.

Constraints:

• $2 \leq$ nums.length $\leq 10^3$

• nums.length is even.

• Half of the integers in nums are even.

• $0\leq$ nums[i] $\leq1000$

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding on how to solve this problem.

Implement your solution in the following coding playground.