Answer Exact Island-Size Existence Queries

Last updated: August 8, 2026

Quick Overview

The question asks the candidate to devise a solution for answering existence queries regarding exact island sizes in a given grid.

Meta
Coding & Algorithms
Software Engineer
Meta
August 8, 2026
Software Engineer
Onsite
Coding & Algorithms
Medium

8

0

115 solved


The question asks the candidate to devise a solution for answering existence queries regarding exact island sizes in a given grid.

This question is typically asked during the onsite coding interview round at Meta to assess a candidate's problem-solving skills and their ability to work with algorithms in a grid-based context. The interviewer is evaluating the candidate's understanding of depth-first search (DFS) or breadth-first search (BFS) techniques, as well as their ability to optimize for time and space complexity when handling potentially large datasets.

What the Interviewer Expects
  • Clearly explain the approach to solving the problem.
  • Implement an efficient algorithm using DFS or BFS.
  • Discuss the time and space complexity of the solution.
  • Handle edge cases, such as empty grids or grids with no islands.
  • Provide a thorough explanation of the code.
Key Topics to Cover
Depth-First Search
Breadth-First Search
Grid Traversal
Time Complexity
Space Complexity
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 modify your solution for larger grids?
  • Can you explain the differences between DFS and BFS in this context?
  • What optimizations can you implement to improve performance?
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Sample Answer
Approach

To solve the problem of answering exact island-size existence queries, we can utilize a graph traversal technique such as Depth-First Search (DFS). The main idea is to traverse the grid and identify c...

Algorithm
  1. Initialize a set to store the sizes of islands.
  2. Iterate through each cell in the grid.
  3. If a cell contains land (1) and has not been visited, initiate a DFS from that cell to explore the e...

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