Categorize Box According to Criteria — LeetCode 2525 Python Solution

The problem

Given four integers length, width, height, and mass, representing the dimensions and mass of a box, respectively, return a string representing the category of the box. The box is "Bulky" if: Any of the dimensions of the box is greater or equal to 104.

Example

Input

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

Output

"Heavy"

Explanation

None of the dimensions of the box is greater or equal to 104.

Python solution

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]

Complexity

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 2525. Categorize Box According to Criteria is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.

The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.

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