You are given two binary arrays nums1 and nums2.

You need to replace every element in both arrays with a positive integer such that:

• Each element in nums1 is replaced by a positive integer $x$ such that $x \pmod 2 = ext{original value}$.

• Each element in nums2 is replaced by a positive integer $y$ such that $y \pmod 2 = ext{original value}$.

• Both nums1 and nums2 are strictly increasing.

• All elements in both arrays are distinct.

Return the minimum possible value of the largest element among both constructed arrays.

Constraints:

• $0 \leq$ nums1.length $\leq 1000$

• $1 \leq$ nums2.length $\leq 1000$

• nums1 and nums2 consist only of $0$ and $1$.

Now, 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 of how to solve this problem.

Implement your solution in the following coding playground.