Code Room
CodingMediumcod-g399
Subject MathLevel Mid–Senior~20 minCommon in Algorithms & data structures interviewsIndustries Software development

Question

Given a non-negative integer n (0 <= n <= 2^63 - 1), return floor(sqrt(n)) as an integer, without using any library square-root or float-based math (no math.sqrt, no n**0.5). Floating point loses precision at large n, so use an integer method such as Newton's iteration.

Implement
int_sqrt(n: int) → int
Examples
in[8]out2
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.

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.