CodingMediumcod-g635

Subject MathLevel Mid–Senior~20 minCommon in Algorithms & data structures interviewsIndustries Software development

Question

Compute the integer square root of a non-negative integer x WITHOUT using any floating point (no math.sqrt, no **0.5): return the largest integer r such that r*r <= x. Use Newton's method (integer iteration). Constraints: 0 <= x <= 10^18. Example: isqrt(8) = 2, isqrt(16) = 4.

Implement

integer_sqrt(x: 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.

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.