CodingHardcod-g136

Subject Constraint searchLevel Senior–Staff~30 minCommon in Algorithms & data structures interviewsIndustries Software development

Question

Count the number of n x n Latin squares: grids filled with values 1..n such that every row and every column contains each value exactly once. Return the count. 1 <= n <= 4 (the count grows extremely fast).

Implement

count_latin_squares(n: int) → int

Examples

in[3]out12

What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

Learn the concepts

Vibe coding: describe the solution in plain language (or narrate it) and the coach grades your approach. Generating runnable code from your description is coming next.

Run or narrate your approach, then ask the coach.