You are given a two-dimensional integer array items of length $n$ and an integer k.

Each item items[i] = [profit_i, category_i] indicates that the item at index i has a profit of profit_i and belongs to category category_i.

Define the elegance of a chosen subsequence of items as:

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.