You are given two integer arrays nums1 and nums2, and an integer k.

You must choose $k$ indices $i_1 < i_2 < \dots < i_k$ from nums1 and $k$ indices $j_1 < j_2 < \dots < j_k$ from nums2.

The score of this selection is:

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.