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 $\leq 10^3$ ...