Find connected components in interval list

Last updated: November 7, 2025

Quick Overview

Given a list of intervals, your task is to find all connected components, where two intervals are considered connected if they overlap or touch. Return a list of merged intervals representing each connected component. For example, given the input intervals [[1, 3], [2, 4], [5, 7]], the output should be [[1, 4], [5, 7]].

Booking.com
Coding & Algorithms
Software Engineer
Booking.com
November 7, 2025
Software Engineer
Onsite
Coding & Algorithms
Easy

90

14

1,666 solved


Given a list of intervals, your task is to find all connected components, where two intervals are considered connected if they overlap or touch. Return a list of merged intervals representing each connected component. For example, given the input intervals [[1, 3], [2, 4], [5, 7]], the output should be [[1, 4], [5, 7]].

This coding problem is frequently asked during Onsite at Booking.com. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Booking.com expects candidates to write production-quality code, not just solve the puzzle.

What the Interviewer Expects
  • Identify the correct data structure and algorithm for the problem
  • Write clean, bug-free code with proper variable naming
  • Analyze time and space complexity correctly
  • Handle basic edge cases (empty input, single element)
  • Communicate your thought process while coding
Key Topics to Cover
Time and space complexity analysis
Data structure selection and trade-offs
Graph algorithms and traversal
Sorting and searching
How to Approach This
  1. Clarify input constraints and edge cases before writing code.
  2. Walk through your approach verbally and confirm with the interviewer before coding.
  3. Start with a brute force solution, then optimize. Mention time and space complexity.
  4. Test your solution with examples, including edge cases like empty input or duplicates.
  5. Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
  • What is the worst-case input for your solution?
  • What happens if the input contains duplicates?
  • How would your solution change if the input was sorted?
  • How would you test this solution thoroughly?
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Sample Answer
Problem Analysis

The problem at hand requires finding connected components within a list of intervals. Two intervals are considered connected if they overlap or touch. This suggests the use of a sorting and **merg...

Approach
  1. Sort the Intervals: Start by sorting the list of intervals based on their starting points. For example, given intervals [[1, 3], [2, 4], [5, 7]], sorting yields [[1, 3], [2, 4], [5, 7]].
  2. **I...

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