Implement Deque with O(n) time

Last updated: September 23, 2025

Quick Overview

Implement a Deque (double-ended queue) data structure that supports the operations of adding and removing elements from both ends in O(n) time. Your implementation should include methods for adding elements to the front and back, removing elements from the front and back, and checking if the deque is empty. Ensure that your code handles edge cases, such as operations on an empty deque.

Expedia
Coding & Algorithms
Machine Learning Engineer
Expedia
September 23, 2025
Machine Learning Engineer
Phone Screen
Coding & Algorithms
Easy

1

8

4,257 solved


Implement a Deque (double-ended queue) data structure that supports the operations of adding and removing elements from both ends in O(n) time. Your implementation should include methods for adding elements to the front and back, removing elements from the front and back, and checking if the deque is empty. Ensure that your code handles edge cases, such as operations on an empty deque.

Expedia uses this problem in the Phone Screen to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.

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
Hash maps and frequency counting
Data structure selection and trade-offs
Dynamic programming and memoization
Tree structures and recursion
Edge cases and input validation
Time and space complexity analysis
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 if the input doesn't fit in memory?
  • Can you solve this in a single pass?
  • How would you test this solution thoroughly?
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Sample Answer
Problem Analysis

The task is to implement a Deque (double-ended queue) that allows adding and removing elements from both ends efficiently. Given that the operations should be performed in O(n) time, a linked list is ...

Approach
  1. Define Node Class: Create a Node class that represents each element in the Deque, containing value, prev (pointer to the previous node), and next (pointer to the next node).
  2. **Define...

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