Stage II: Easy Questions
Linked List
Pattern: Conceptual Understanding
1. The Core Trade-Off
Problem: Based on the "Mission Briefing," what is the primary advantage of a Linked List over an Array for dynamic data, and what is its main disadvantage regarding data access?
Concept Tested: Understanding the fundamental time complexity trade-offs between Arrays and Linked Lists (O(1) insertion/deletion vs. O(n) access).
Analysis:
Advantage: The primary advantage of a Linked List is its efficient insertion and deletion. Unlike an array, which requires shifting all subsequent elements (an O(n) operation), a linked list only needs to redirect a few pointers, which is a constant time O(1) operation.
Disadvantage: The main disadvantage is slow access time. To get to the n-th element in a linked list, you must traverse through all n-1 preceding nodes, making it an O(n) operation. An array allows for instant O(1) access via an index.
2. Linked List Varieties
Problem: Using the "train car" analogy, explain the structural difference between a Singly, Doubly, and Circular Linked List. For what type of application is a Doubly Linked List particularly useful?
Concept Tested: Differentiating between the types of linked lists and their specific use cases.
Analysis:
Singly Linked List: A standard train where each car points only to the car in front of it (next pointer).
Doubly Linked List: An advanced train where each car has couplers on both ends, pointing to the car in front (next) and the car behind (prev). It is particularly useful for implementing a browser's back/forward history or an undo/redo feature.
Circular Linked List: A circular train track where the last car connects back to the first car, forming a continuous loop.
Pattern: Foundational Pointer Manipulation
These are classic problems that test your ability to traverse a list and manipulate next pointers.
3. Reverse Linked List
Problem: Given the head of a singly linked list, reverse the list, and return the new head.
Concept Tested: Iterative pointer manipulation, keeping track of previous, current, and next nodes.
Companies: Amazon, Microsoft, Apple, Facebook (Meta), Google
4. Merge Two Sorted Lists
Problem: You are given the heads of two sorted linked lists. Merge the two lists into one sorted list.
Concept Tested: Simultaneously traversing two lists and comparing their nodes to build a new, sorted list.
Companies: Amazon, Microsoft, Google, Apple, LinkedIn
5. Remove Nth Node From End of List
Problem: Given the head of a linked list, remove the n-th node from the end of the list and return its head.
Concept Tested: The classic "two-pointer gap" technique.
Companies: Amazon, Facebook (Meta), Microsoft, Bloomberg
6. Palindrome Linked List
Problem: Given the head of a singly linked list, return true if it is a palindrome.
Concept Tested: Combining multiple patterns: finding the middle, reversing the second half, and comparing.
Companies: Amazon, Facebook (Meta), Apple, Google
Stacks
Pattern: Conceptual Understanding
These questions test your direct comprehension of the LIFO principle and its direct applications.
1. The LIFO Principle & Use Cases
Problem: Explain the "Last-In, First-Out" (LIFO) principle using the "stack of plates" analogy. Provide two real-world examples mentioned in the text where this behavior is essential.
Concept Tested: Understanding the core LIFO principle and its direct applications.
2. Implementation Trade-offs
Problem: What are the two common ways to implement a Stack data structure as described in the blueprint? Why might a Linked List implementation be considered more theoretically efficient in all cases compared to a dynamic array?
Concept Tested: Differentiating between array-based and linked-list-based stack implementations.
Pattern: Classic Stack Applications
These are the quintessential problems that perfectly demonstrate the power of the LIFO principle for validation and tracking.
3. Valid Parentheses
Problem: Given a string containing just '(', ')', '{', '}', '[' and ']', determine if the input string is valid.
Concept Tested: Using a stack to match opening and closing pairs.
Companies: Amazon, Google, Facebook (Meta), Microsoft, Bloomberg
4. Min Stack
Problem: Design a stack that supports push, pop, top, and retrieving the minimum element in constant time.
Concept Tested: Augmenting a standard stack with a second stack to track minimums.
Companies: Amazon, Bloomberg, Apple, Microsoft, Google
5. Implement Queue using Stacks
Problem: Implement a First-In-First-Out (FIFO) queue using only two stacks.
Concept Tested: Deep understanding of stack (LIFO) and queue (FIFO) properties.
Companies: Amazon, Microsoft, Bloomberg, Oracle
Queue
Pattern: Foundational Queue Applications
These problems represent the most common applications of the Queue data structure.
3. Binary Tree Level Order Traversal
Problem: Given the root of a binary tree, return the level order traversal of its nodes' values.
Concept Tested: This is the quintessential application of Breadth-First Search (BFS), for which a queue is the essential tool.
Companies: Amazon, Facebook (Meta), Microsoft, Apple, LinkedIn
4. Number of Recent Calls
Problem: Count the number of recent requests within a certain time frame.
Concept Tested: Using a queue to maintain a "sliding window" of data.
Companies: Google, Amazon, Microsoft
Hashing
Pattern: Foundational Hash Map Applications
These problems demonstrate the power of a hash map for lookups, frequency counting, and grouping.
3. Two Sum
Problem: Given an array of integers and a target, return indices of two numbers that add up to target.
Concept Tested: The classic hash map pattern of storing seen values for instant lookups.
Companies: Amazon, Google, Facebook (Meta), Apple, Microsoft
4. Valid Anagram
Problem: Given two strings s and t, return true if t is an anagram of s.
Concept Tested: Using a hash map as a frequency counter.
Companies: Amazon, Microsoft, Apple, Bloomberg
5. Group Anagrams
Problem: Given an array of strings, group the anagrams together.
Concept Tested: Using a computed key (the sorted string) to group items in a hash map.
Companies: Amazon, Facebook (Meta), Google, Bloomberg, Microsoft