#2525

Easy

auto_awesomeMath-driven solution strategy

LeetCode Problem Workspace

Categorize Box According to Criteria

Classify a box as "Heavy", "Bulky", or "Neither" based on its dimensions and mass using math-driven strategies.

Problem Statement

You are given the dimensions (length, width, height) and mass of a box. Based on these parameters, determine if the box is "Bulky", "Heavy", or "Neither". The category depends on specific thresholds: a box is "Bulky" if its volume exceeds 10^9 cubic units, and it is "Heavy" if its mass exceeds 100 units. If neither condition is satisfied, return "Neither".

The volume of the box is computed by multiplying its length, width, and height. The mass and the volume together are used to determine which category the box falls into. This problem tests your ability to apply conditional statements effectively to categorize the box correctly.

Examples

Example 1

Input: length = 1000, width = 35, height = 700, mass = 300

Output: "Heavy"

None of the dimensions of the box is greater or equal to 104. Its volume = 24500000 = 100, so the box is "Heavy". Since the box is not "Bulky" but "Heavy", we return "Heavy".

Example 2

Input: length = 200, width = 50, height = 800, mass = 50

Output: "Neither"

None of the dimensions of the box is greater or equal to 104. Its volume = 8 * 106 <= 109. So it cannot be categorized as "Bulky". Its mass is also less than 100, so it cannot be categorized as "Heavy" either. Since its neither of the two above categories, we return "Neither".

Constraints

1 <= length, width, height <= 105
1 <= mass <= 103

Solution Approach

Identify Volume

First, calculate the volume of the box by multiplying its length, width, and height. This determines whether the box could potentially be "Bulky".

Check Mass

Next, check if the mass exceeds 100 units. This helps determine if the box is "Heavy". If neither of the two criteria is met, the box is categorized as "Neither".

Apply Conditional Logic

Use conditional statements to check the volume and mass, assigning the appropriate category based on the rules provided: "Bulky", "Heavy", or "Neither".

Complexity Analysis

Metric	Value
Time	Depends on the final approach
Space	Depends on the final approach

Both time and space complexity are constant, O(1), since only basic arithmetic and a few conditional checks are required for this problem.

What Interviewers Usually Probe

Tests ability to apply conditional statements in programming.
Assesses understanding of basic mathematical operations and logic.
Evaluates ability to use simple problem constraints effectively.

Common Pitfalls or Variants

Common pitfalls

Forgetting to calculate the volume before checking the categories.
Incorrectly categorizing a box due to misplaced or missing condition checks.
Misinterpreting the thresholds for volume and mass, leading to an incorrect category.

Follow-up variants

Consider variations where additional dimensions or categories are introduced.
Implementing the problem in a different context, such as 3D objects or irregular shapes.
Enhancing the problem by adding constraints such as specific ranges for length, width, height, and mass.

FAQ

What is the main concept tested in "Categorize Box According to Criteria"?

This problem tests your ability to apply basic math and conditional logic to classify boxes based on volume and mass.

How do I determine if the box is "Heavy"?

The box is categorized as "Heavy" if its mass exceeds 100 units.

What happens if the box's mass and volume do not meet any thresholds?

If neither the volume nor the mass exceeds their respective thresholds, the box is categorized as "Neither".

Can I use any advanced math techniques for this problem?

This problem focuses on applying simple arithmetic operations and conditionals, so no advanced math is needed.

What is the best way to approach "Categorize Box According to Criteria"?

Start by calculating the volume and mass, then use conditional statements to classify the box based on the given thresholds.

terminal

Solution

Solution 1: Simulation

We can simulate according to the problem description.

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class Solution:
    def categorizeBox(self, length: int, width: int, height: int, mass: int) -> str:
        v = length * width * height
        bulky = int(any(x >= 10000 for x in (length, width, height)) or v >= 10**9)
        heavy = int(mass >= 100)
        i = heavy << 1 | bulky
        d = ['Neither', 'Bulky', 'Heavy', 'Both']
        return d[i]

Solution 2

#### Python3

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class Solution:
    def categorizeBox(self, length: int, width: int, height: int, mass: int) -> str:
        v = length * width * height
        bulky = int(any(x >= 10000 for x in (length, width, height)) or v >= 10**9)
        heavy = int(mass >= 100)
        i = heavy << 1 | bulky
        d = ['Neither', 'Bulky', 'Heavy', 'Both']
        return d[i]

Continue Practicing

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