Merge Three Sorted strings

Last updated: October 10, 2025

Quick Overview

Given k sorted grids, merge them into a single sorted result.

Apple
Coding & Algorithms
Machine Learning Engineer
Apple
October 10, 2025
Machine Learning Engineer
Take-home Project
Coding & Algorithms
Medium

595

3

3,128 solved


Given k sorted grids, merge them into a single sorted result.

This coding problem is frequently asked during Take-home Project at Apple. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Apple 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
Time and space complexity analysis
Binary search and divide and conquer
Data structure selection and trade-offs
Graph algorithms and traversal
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
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
  • How would you test this solution thoroughly?
  • Can you optimize the space complexity of your solution?
  • Can you solve this iteratively instead of recursively (or vice versa)?
  • Can you solve this in a single pass?
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Sample Answer
Problem Analysis

The problem of merging k sorted grids can be efficiently solved using a min-heap (or priority queue) data structure. The reason this approach is optimal here is that it allows us to efficiently ac...

Approach
  1. Initialize a min-heap: Start with an empty min-heap.
  2. Insert the first element of each grid: For each of the k sorted grids, insert the first element along with its grid index and elemen...

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