Given four integers length, width, height, and mass representing the dimensions and mass of a box, categorize the box based on the following criteria:

• The box is "Bulky" if at least one of the following conditions is met:

  • Any dimension of the box (length, width, or height) is greater than or equal to $10^4$.

  • The volume of the box is greater than or equal to $10^9$.

• The box is "Heavy" if its mass is greater than or equal to $100$.

Categorize the box according to these rules:

• If the box is both "Bulky" and "Heavy", return "Both".

• If the box is neither "Bulky" nor "Heavy", return "Neither".

• If the box is "Bulky" but not "Heavy", return "Bulky".

• If the box is "Heavy" but not "Bulky", return "Heavy".

Note: The volume of the box is calculated as $ ext{volume} = ext{length} imes ext{width} imes ext{height}$.

Constraints:

• $1 \leq$ length, width, height $\leq 10^5$

• $1 \leq$ mass $\leq 10^3$

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.