Binary Search on array
Last updated: December 3, 2025
Quick Overview
Given a sorted array of integers, implement a binary search algorithm to determine the index of a target value. If the target is not found, return -1. Your solution should have a time complexity of O(log n).
Optiver
December 3, 202583
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3,638 solved
Given a sorted array of integers, implement a binary search algorithm to determine the index of a target value. If the target is not found, return -1. Your solution should have a time complexity of O(log n).
This coding problem is frequently asked during Onsite at Optiver. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Optiver expects candidates to write production-quality code, not just solve the puzzle.
What the Interviewer Expects
- Recognize the underlying problem pattern (sliding window, two pointers, BFS/DFS, etc.)
- Discuss multiple approaches and trade-offs before coding
- Implement an optimal solution with clean, production-quality code
- Handle all edge cases including boundary conditions and invalid input
- Optimize both time and space complexity with clear justification
- Test your solution systematically with well-chosen examples
Key Topics to Cover
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- How would you test this solution thoroughly?
- How would you modify your solution to handle streaming input?
- How would you parallelize this solution?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem requires us to implement a binary search algorithm on a sorted array to find the index of a target value. The binary search algorithm is suitable here because it efficiently narrows down t...
Approach
- Initialize Pointers: Start with two pointers,
leftat the beginning of the array (index 0) andrightat the end (index len(array) - 1). - Loop Until Pointers Meet: While
leftis less...