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Coding & Algorithms questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master coding & algorithms interviews.

What difficulty level is this interview question?

This is a hard difficulty Coding & Algorithms question, commonly asked during Technical Screen rounds at Bytedance.

What role is this question designed for?

This question is commonly asked for Site Reliability Engineer candidates at Bytedance during technical interviews.

Determine whether squares can fit | Bytedance Interview Question

Q: Determine whether squares can fit

This question evaluates spatial reasoning, combinatorial packing, and constraint-satisfaction skills in the context of placing integer-aligned squares within an m x n rectangle.

You are given an m x n rectangular grid and an array squares, where each value represents the side length of a square that must be cut from the original rectangle.

Determine whether it is possible to cut out one square of each requested size such that:

every square is fully contained inside the m x n rectangle,
squares do not overlap,
cuts follow integer grid lines,
unused leftover area is allowed.

Assume the number of requested squares is small enough for a search/backtracking solution.

Examples:

m = 30 , n = 40 , squares = [30, 10] -> true
m = 30 , n = 40 , squares = [30, 20] -> false

Return true if all requested squares can be cut from the rectangle; otherwise return false.