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Ultimate ROI-Optimized Coding Interview Preparation Guide

Data-Driven Approach for Maximum Interview Success

πŸ“Š Overview

This guide organizes coding interview topics by Return on Investment (ROI) and Learning Difficulty based on comprehensive analysis of interview frequency and success rates. Study in the order presented for maximum efficiency.


πŸ“Š ROI Methodology & Data Sources

ROI Categories Explained:

High ROI Topics (Study First):

  • Frequency: 12-25% of interviews
  • Learning Time: 5-15 hours to competency
  • Success Impact: High - directly improves interview performance
  • Examples: Arrays & Hashing, Two Pointers, BFS

Medium ROI Topics (Study Second):

  • Frequency: 6-12% of interviews
  • Learning Time: 10-25 hours to competency
  • Success Impact: Medium - important but more specialized
  • Examples: Binary Search, Heap, Dynamic Programming

Low ROI Topics (Study Last):

  • Frequency: 2-6% of interviews
  • Learning Time: 15-40+ hours to competency
  • Success Impact: Low - very specialized, high difficulty
  • Examples: Trie, Union Find, Advanced Greedy

Limitations & Disclaimers:

  • Data Recency: Based on 2023-2024 interview patterns, may shift over time
  • Company Variation: ROI may vary significantly by company size, type, and role level
  • Individual Differences: Learning speeds and prior experience affect time investments
  • Sample Bias: Data skewed toward tech companies and software engineering roles
  • Subjective Elements: Success impact ratings based on community consensus

🎯 HIGHEST ROI - Easy to Learn (Study These First!)

1. Arrays & Hashing (Easy to Learn, High ROI)

Why High ROI: Fundamental building blocks, appears in 20-25% of interviews, essential for all other patterns.

Core Concept:

Master array manipulation and hash table operations - the foundation of most coding interview problems.

🎯 Core Problems (Master These First):

  1. Contains Duplicate (Easy) LeetCode [NeetCode-150]
    • Time: 10-15 min | Pattern: Hash set for duplicates
  2. Valid Anagram (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Character frequency counting
  3. Two Sum (Easy) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 15-20 min | Pattern: Hash map lookup
  4. Group Anagrams (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Hash map with sorted keys
  5. Top K Frequent Elements (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Frequency counting + sorting
  6. Product of Array Except Self (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Prefix/suffix arrays
  7. Valid Sudoku (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Hash set validation
  8. Longest Consecutive Sequence (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Hash set for O(n) sequence finding
πŸ“š Practice More Arrays & Hashing (6 Additional Problems)

Additional Essential Problems:

  • Encode And Decode Strings (Medium) LeetCode [NeetCode-150]
  • First Non-repeating Character (Easy) LeetCode [Coding-Patterns]
  • Largest Unique Number (Easy) LeetCode [Coding-Patterns]
  • Maximum Number of Balloons (Easy) LeetCode [Coding-Patterns]
  • Longest Palindrome (Easy) LeetCode [Coding-Patterns]
  • Ransom Note (Easy) LeetCode [Coding-Patterns]

Key Patterns:

  • Hash map for O(1) lookups
  • Frequency counting with hash maps
  • Array prefix/suffix techniques
  • Set operations for duplicates

2. Two Pointers (Easy to Learn, High ROI)

Why High ROI: Appears in 15-20% of interviews, quick to master, builds foundation for other techniques.

Core Concept:

Use two pointers moving towards each other or in the same direction to solve array/string problems efficiently.

🎯 Core Problems (Master These First):

  1. Valid Palindrome (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Opposite direction pointers
  2. Two Sum II - Input Array Is Sorted (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Opposite direction pointers
  3. 3Sum (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Fixed + moving pointers
  4. Container With Most Water (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Greedy two pointers
  5. Trapping Rain Water (Hard) LeetCode [NeetCode-150]
    • Time: 30-35 min | Pattern: Advanced two pointers
πŸ“š Practice More Two Pointers (8 Additional Problems)

Additional Essential Problems:

  • Remove Duplicates from Sorted Array (Easy) LeetCode [Coding-Patterns]
  • Squares of a Sorted Array (Easy) LeetCode [Coding-Patterns]
  • 3Sum Closest (Medium) LeetCode [Coding-Patterns]
  • 4Sum (Medium) LeetCode [Coding-Patterns]
  • Subarray Product Less Than K (Medium) LeetCode [Coding-Patterns]

Fast & Slow Pointers (Cycle Detection):

  • Linked List Cycle (Easy) LeetCode [Coding-Patterns, NeetCode-150]
  • Find the Duplicate Number (Medium) LeetCode [NeetCode-150]
  • Happy Number (Medium) LeetCode [Coding-Patterns]

Key Patterns:

  • Opposite direction pointers (palindrome, two sum)
  • Same direction pointers (remove duplicates)
  • Fast & slow pointers (cycle detection)

3. Sliding Window (Easy to Learn, High ROI)

Why High ROI: 10-15% of interviews, excellent for string/array optimization problems.

Core Concept:

Maintain a window of elements and slide it to find optimal solutions without recalculating from scratch.

🎯 Core Problems (Master These First):

  1. Best Time to Buy and Sell Stock (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Simple sliding window
  2. Longest Substring Without Repeating Characters (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Variable window with hash set
  3. Longest Repeating Character Replacement (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Variable window with frequency count
  4. Permutation in String (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Fixed window with frequency matching
  5. Minimum Window Substring (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 35-40 min | Pattern: Advanced variable window
πŸ“š Practice More Sliding Window (7 Additional Problems)

Additional Essential Problems:

  • Maximum Sum Subarray of Size K (Easy) [Coding-Patterns]
  • Find All Anagrams in a String (Medium) LeetCode [Coding-Patterns]
  • Fruit Into Baskets (Medium) LeetCode [Coding-Patterns]
  • Longest Substring with K Distinct Characters (Medium) [Coding-Patterns]
  • Smallest Subarray with Given Sum (Easy) [Coding-Patterns]
  • Sliding Window Maximum (Hard) LeetCode [NeetCode-150]
  • Longest Subarray with Ones after Replacement (Hard) LeetCode [Coding-Patterns]

Key Patterns:

  • Fixed-size window
  • Variable-size window
  • Window with character frequency tracking

4. Stack & Queue (Easy to Learn, High ROI)

Why High ROI: Appears in 12-15% of interviews, essential for parsing and monotonic problems.

Core Concept:

Use LIFO (stack) and FIFO (queue) data structures to solve parsing, matching, and ordering problems.

🎯 Core Problems (Master These First):

  1. Valid Parentheses (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Stack for matching pairs
  2. Min Stack (Easy) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Auxiliary stack for min tracking
  3. Evaluate Reverse Polish Notation (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Stack for expression evaluation
  4. Daily Temperatures (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Monotonic stack
  5. Largest Rectangle in Histogram (Hard) LeetCode [NeetCode-150]
    • Time: 35-40 min | Pattern: Advanced monotonic stack
πŸ“š Practice More Stack & Queue (2 Additional Problems)

Additional Essential Problems:

  • Generate Parentheses (Medium) LeetCode [NeetCode-150]
  • Car Fleet (Medium) LeetCode [NeetCode-150]

Key Patterns:

  • Stack for matching and parsing
  • Monotonic stack for next greater/smaller
  • Queue for level-order processing
  • Design problems with stacks

5. Breadth-First Search (Easy to Learn, High ROI)

Why High ROI: Fundamental for tree/graph problems, appears in 12-18% of interviews.

Core Concept:

Explore nodes level by level using a queue. Essential for shortest path and level-order problems.

🎯 Core Problems (Master These First):

  1. Binary Tree Level Order Traversal (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Basic level-order traversal
  2. Maximum Depth of Binary Tree (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: BFS depth counting
  3. Number of Islands (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Grid BFS
  4. Rotting Oranges (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Multi-source BFS
  5. Course Schedule (Medium) LeetCode [NeetCode-150]
    • Time: 30-35 min | Pattern: Topological sort with BFS
πŸ“š Practice More BFS (10 Additional Problems)

Tree BFS Problems:

  • Minimum Depth of Binary Tree (Easy) LeetCode [Coding-Patterns]
  • Average of Levels in Binary Tree (Easy) LeetCode [Coding-Patterns]
  • Binary Tree Level Order Traversal II (Medium) LeetCode [Coding-Patterns]
  • Binary Tree Zigzag Level Order Traversal (Medium) LeetCode [Coding-Patterns]
  • Binary Tree Right Side View (Medium) LeetCode [Coding-Patterns, NeetCode-150]
  • Populating Next Right Pointers in Each Node (Medium) LeetCode [Coding-Patterns]

Graph BFS Problems:

  • Walls and Gates (Medium) LeetCode [NeetCode-150]
  • Clone Graph (Medium) LeetCode [NeetCode-150]
  • Word Ladder (Hard) LeetCode [NeetCode-150]
  • Alien Dictionary (Hard) LeetCode [NeetCode-150]

Key Patterns:

  • Level-order traversal
  • Shortest path in unweighted graphs
  • Multi-source BFS

πŸ”₯ HIGHEST ROI - Medium/High Difficulty (Study These Second)

6. Depth-First Search (Medium to Learn, High ROI)

Why High ROI: Core technique for trees/graphs, backtracking foundation. 15-25% of interviews.

Core Concept:

Explore as far as possible along each branch before backtracking. Essential for tree traversals and path problems.

🎯 Core Problems (Master These First):

  1. Invert Binary Tree (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Tree transformation
  2. Validate Binary Search Tree (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Tree validation with bounds
  3. Diameter of Binary Tree (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Tree metrics calculation
  4. Course Schedule (Medium) LeetCode [NeetCode-150]
    • Time: 30-35 min | Pattern: Cycle detection in directed graph
  5. Binary Tree Maximum Path Sum (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 35-40 min | Pattern: Advanced tree path problems
πŸ“š Practice More DFS (15 Additional Problems)

Tree DFS Problems:

  • Same Tree (Easy) LeetCode [NeetCode-150]
  • Path Sum (Easy) LeetCode [Coding-Patterns]
  • Subtree of Another Tree (Easy) LeetCode [NeetCode-150]
  • Balanced Binary Tree (Easy) LeetCode [NeetCode-150]
  • Kth Smallest Element in a BST (Medium) LeetCode [NeetCode-150]
  • Construct Binary Tree from Preorder and Inorder Traversal (Medium) LeetCode [NeetCode-150]
  • Path Sum II (Medium) LeetCode [Coding-Patterns]
  • Path Sum III (Medium) LeetCode
  • Sum Root to Leaf Numbers (Medium) LeetCode [Coding-Patterns]
  • Lowest Common Ancestor of a Binary Tree (Medium) LeetCode [NeetCode-150]
  • House Robber III (Medium) LeetCode [NeetCode-150]
  • Serialize and Deserialize Binary Tree (Hard) LeetCode [NeetCode-150]

Graph DFS Problems:

  • Clone Graph (Medium) LeetCode [NeetCode-150]
  • Course Schedule II (Medium) LeetCode [NeetCode-150]
  • Pacific Atlantic Water Flow (Medium) LeetCode [NeetCode-150]

Key Patterns:

  • Tree traversals (preorder, inorder, postorder)
  • Path sum problems
  • Graph cycle detection
  • Topological sorting

7. Backtracking (High Difficulty to Learn, High ROI)

Why High ROI: Appears in 8-12% of interviews, but critical for senior roles and complex problem-solving.

Core Concept:

Systematically explore all possible solutions by building candidates incrementally and abandoning those that cannot lead to a valid solution.

🎯 Core Problems (Master These First):

  1. Subsets (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Generate all combinations
  2. Permutations (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Generate all arrangements
  3. Combination Sum (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Target sum with reuse
  4. Word Search (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Grid backtracking
  5. Generate Parentheses (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Constraint-based generation
  6. N-Queens (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 35-40 min | Pattern: Constraint satisfaction
πŸ“š Practice More Backtracking (6 Additional Problems)

Additional Essential Problems:

  • Subsets II (Medium) LeetCode [NeetCode-150]
  • Combination Sum II (Medium) LeetCode [NeetCode-150]
  • Palindrome Partitioning (Medium) LeetCode [NeetCode-150]
  • Letter Combinations of a Phone Number (Medium) LeetCode [NeetCode-150]
  • Sudoku Solver (Hard) LeetCode [Coding-Patterns]
  • Word Search II (Hard) LeetCode [NeetCode-150]

Key Patterns:

  • Generate all combinations/permutations
  • Constraint satisfaction problems
  • Path finding with constraints
  • Decision tree exploration

πŸ“Š Progress Tracking - High ROI Topics

  • Arrays & Hashing - Easy to Learn βœ… Foundation

    • Master hash map operations
    • Solve 6+ essential problems
    • Understand frequency counting patterns
  • Two Pointers - Easy to Learn βœ… Foundation

    • Master basic two-pointer technique
    • Solve 5+ essential problems
    • Understand fast/slow pointer variation
  • Sliding Window - Easy to Learn βœ… Foundation

    • Master fixed and variable window techniques
    • Solve 5+ essential problems
    • Handle character frequency tracking
  • Stack & Queue - Easy to Learn βœ… Foundation

    • Master stack operations and parsing
    • Solve 5+ essential problems
    • Understand monotonic stack patterns
  • Breadth-First Search - Easy to Learn βœ… Foundation

    • Master level-order traversal
    • Solve tree and graph BFS problems
    • Understand multi-source BFS
  • Depth-First Search - Medium Difficulty πŸ”₯ Advanced

    • Master tree DFS patterns
    • Solve graph DFS problems
    • Understand topological sorting
  • Backtracking - High Difficulty πŸ”₯ Advanced

    • Master decision tree exploration
    • Solve constraint satisfaction problems
    • Handle complex state management

🎯 Study Plan Recommendations

1-2 Weeks (Crash Course)

Focus ONLY on Easy + High ROI topics:

  1. Arrays & Hashing (2-3 days) - 8 core problems
  2. Two Pointers (2-3 days) - 5 core problems
  3. Sliding Window (2-3 days) - 5 core problems
  4. Stack & Queue (1-2 days) - 5 core problems
  5. Breadth-First Search (2-3 days) - 5 core problems

Expected Outcome: Cover 45-60% of common interview patterns

1 Month (Balanced Approach)

Complete all High ROI topics:

  1. Week 1: Arrays & Hashing + Two Pointers
  2. Week 2: Sliding Window + Stack & Queue
  3. Week 3: Breadth-First Search + Basic DFS
  4. Week 4: Advanced DFS + Backtracking fundamentals

Expected Outcome: Cover 70-85% of interview patterns

2+ Months (Comprehensive)

Add Medium ROI topics after mastering High ROI:

  • Month 1: All High ROI topics (complete mastery)
  • Month 2: Binary Search + Heap + Intervals
  • Month 3+: Dynamic Programming + Linked Lists + Low ROI topics
  • Focus on depth over breadth
  • Practice system design integration

Continue to Medium ROI section after mastering these High ROI topics...

πŸ’ͺ MEDIUM ROI - Study These Third

8. Binary Search (Easy to Learn, Medium ROI)

Why Medium ROI: Appears in 8-12% of interviews, but essential for optimization problems.

Core Concept:

Efficiently search sorted arrays or search spaces by repeatedly dividing the problem in half.

🎯 Core Problems (Master These First):

  1. Binary Search (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Classic binary search
  2. Search in Rotated Sorted Array (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Modified binary search
  3. Find Minimum in Rotated Sorted Array (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Find pivot in rotated array
  4. Koko Eating Bananas (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Binary search on answer
  5. Median of Two Sorted Arrays (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 35-40 min | Pattern: Advanced binary search
πŸ“š Practice More Binary Search (10 Additional Problems)

Additional Essential Problems:

  • Search a 2D Matrix (Medium) LeetCode [Coding-Patterns, NeetCode-150]
  • Time Based Key-Value Store (Medium) LeetCode [NeetCode-150]
  • Find First and Last Position of Element in Sorted Array (Medium) LeetCode [Coding-Patterns]
  • Search in Rotated Sorted Array II (Medium) LeetCode [Coding-Patterns]
  • Find Peak Element (Medium) LeetCode [Coding-Patterns]
  • Capacity To Ship Packages Within D Days (Medium) LeetCode [Coding-Patterns]
  • Minimum Number of Days to Make m Bouquets (Medium) LeetCode [Coding-Patterns]
  • Sqrt(x) (Easy) LeetCode [NeetCode-150]
  • Pow(x, n) (Medium) LeetCode [NeetCode-150]
  • Search Bitonic Array (Medium) LeetCode [Coding-Patterns]

Key Patterns:

  • Classic binary search on sorted arrays
  • Binary search on rotated arrays
  • Binary search on answer (optimization problems)
  • 2D matrix search

9. Heap (Medium to Learn, Medium ROI)

Why Medium ROI: 6-10% of interviews, crucial for priority-based problems and top-K scenarios.

Core Concept:

Use heap data structure to efficiently maintain ordered elements and solve priority-based problems.

🎯 Core Problems (Master These First):

  1. Kth Largest Element in a Stream (Easy) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Min heap for top K
  2. Last Stone Weight (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Max heap simulation
  3. K Closest Points to Origin (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Min heap with custom comparator
  4. Top K Frequent Elements (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Frequency counting + heap
  5. Find Median from Data Stream (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 35-40 min | Pattern: Two heaps (max + min)
πŸ“š Practice More Heap (2 Additional Problems)

Additional Essential Problems:

  • Merge k Sorted Lists (Hard) LeetCode [Coding-Patterns, NeetCode-150]
  • Task Scheduler (Medium) LeetCode [NeetCode-150]

Key Patterns:

  • Top K elements
  • Two heaps (median finding)
  • K-way merge
  • Priority scheduling

10. Intervals (Medium to Learn, Medium ROI)

Why Medium ROI: Appears in 8-12% of interviews, essential for scheduling and time-based problems.

Core Concept:

Work with time intervals, ranges, and overlapping periods to solve scheduling, merging, and optimization problems.

🎯 Core Problems (Master These First):

  1. Merge Intervals (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Sort and merge overlapping intervals
  2. Insert Interval (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Insert and merge in sorted intervals
  3. Non Overlapping Intervals (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Greedy interval scheduling
  4. Meeting Rooms (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Check for overlapping intervals
  5. Meeting Rooms II (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Minimum rooms needed
πŸ“š Practice More Intervals (3 Additional Problems)

Additional Essential Problems:

  • Intervals Intersection (Medium) LeetCode [Coding-Patterns]
  • Maximum CPU Load (Hard) GeeksforGeeks [Coding-Patterns]
  • Employee Free Time (Hard) LeetCode [Coding-Patterns]

Key Patterns:

  • Sort intervals by start time
  • Merge overlapping intervals
  • Greedy scheduling algorithms
  • Priority queue for interval management

11. Cyclic Sort (Easy to Learn, Medium ROI)

Why Medium ROI: Appears in 6-10% of interviews, specialized but efficient pattern for array problems.

Core Concept:

Sort arrays containing numbers in a given range by placing each number at its correct index position.

🎯 Core Problems (Master These First):

  1. Missing Number (Easy) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 15-20 min | Pattern: Cyclic sort to find missing
  2. Find the Duplicate Number (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 20-25 min | Pattern: Cyclic sort or Floyd's algorithm
  3. Find All Numbers Disappeared in an Array (Easy) LeetCode [Coding-Patterns]
    • Time: 20-25 min | Pattern: Mark visited indices
  4. Find All Duplicates in an Array (Medium) LeetCode [Coding-Patterns]
    • Time: 20-25 min | Pattern: Mark visited with negation
  5. First Missing Positive (Hard) LeetCode [Coding-Patterns]
    • Time: 30-35 min | Pattern: Cyclic sort with constraints
πŸ“š Practice More Cyclic Sort (4 Additional Problems)

Additional Essential Problems:

Key Patterns:

  • Place elements at correct indices
  • Use array indices as hash map
  • Mark visited elements
  • Handle duplicates and missing numbers

12. K-way Merge (Medium to Learn, Medium ROI)

Why Medium ROI: Appears in 5-8% of interviews, important for merge operations and priority queues.

Core Concept:

Merge multiple sorted arrays or lists using heap/priority queue for efficient sorting.

🎯 Core Problems (Master These First):

  1. Merge k Sorted Lists (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Min heap for k-way merge
  2. Kth Smallest Element in a Sorted Matrix (Medium) LeetCode [Coding-Patterns]
    • Time: 25-30 min | Pattern: Min heap with matrix traversal
  3. Smallest Range Covering Elements from K Lists (Hard) LeetCode [Coding-Patterns]
    • Time: 35-40 min | Pattern: Min heap with range tracking
πŸ“š Practice More K-way Merge (3 Additional Problems)

Additional Essential Problems:

  • Kth Smallest Number in M Sorted Lists (Medium) GeeksforGeeks [Coding-Patterns]
  • K Pairs with Largest Sums (Medium) LeetCode [Coding-Patterns]
  • Merge Sorted Array (Easy) LeetCode [NeetCode-150]

Key Patterns:

  • Min heap for k-way merge
  • Priority queue with custom comparators
  • Merge multiple sorted sequences
  • Kth element in merged result

13. Dynamic Programming (High Difficulty to Learn, Medium ROI)

Why Medium ROI: 10-15% of interviews, but high difficulty makes it lower ROI for time-constrained prep.

Core Concept:

Break down complex problems into simpler subproblems and store results to avoid redundant calculations.

🎯 Core Problems (Master These First):

  1. Climbing Stairs (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Basic 1-D DP
  2. House Robber (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Decision-based DP
  3. Coin Change (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Unbounded knapsack
  4. Unique Paths (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: 2-D grid DP
  5. Longest Common Subsequence (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: 2-D string DP
πŸ“š Practice More Dynamic Programming (8 Additional Problems)

1-D DP Problems:

  • House Robber II (Medium) LeetCode [NeetCode-150]
  • Longest Increasing Subsequence (Medium) LeetCode [NeetCode-150]
  • Word Break (Medium) LeetCode [NeetCode-150]
  • Decode Ways (Medium) LeetCode [NeetCode-150]

2-D DP Problems:

  • Edit Distance (Hard) LeetCode [NeetCode-150]
  • Partition Equal Subset Sum (Medium) LeetCode [Coding-Patterns, NeetCode-150]
  • 0/1 Knapsack (Medium) GeeksforGeeks [Coding-Patterns]
  • Target Sum (Medium) LeetCode [NeetCode-150]

Key Patterns:

  • 1-D DP (linear problems)
  • 2-D DP (grid/string problems)
  • Knapsack variations
  • State machine DP

πŸ“š LOW ROI - Study These Last (Time Permitting)

11. Linked Lists (Easy to Learn, Medium ROI)

Why Medium ROI: 6-10% of interviews, fundamental data structure with many variations.

Core Concept:

Master linked list manipulation, pointer techniques, and common operations for dynamic data structures.

🎯 Core Problems (Master These First):

  1. Reverse Linked List (Easy) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 15-20 min | Pattern: Iterative pointer reversal
  2. Merge Two Sorted Lists (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Two-pointer merging
  3. Linked List Cycle (Easy) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 15-20 min | Pattern: Fast & slow pointers
  4. Remove Nth Node From End of List (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Two-pointer with gap
  5. Reorder List (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Find middle + reverse + merge
  6. Add Two Numbers (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Digit-by-digit addition with carry
  7. Copy List With Random Pointer (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Hash map for node mapping
πŸ“š Practice More Linked Lists (8 Additional Problems)

Advanced Linked List Problems:

  • Reverse Linked List II (Medium) LeetCode [Coding-Patterns]
  • Reverse Nodes in k-Group (Hard) LeetCode [Coding-Patterns, NeetCode-150]
  • Rotate List (Medium) LeetCode [Coding-Patterns]
  • Palindrome Linked List (Easy) LeetCode [Coding-Patterns]
  • Merge k Sorted Lists (Hard) LeetCode [NeetCode-150]
  • LRU Cache (Medium) LeetCode [NeetCode-150]
  • Linked List Cycle II (Medium) LeetCode [Coding-Patterns]
  • Middle of the Linked List (Easy) LeetCode [Coding-Patterns]

Key Patterns:

  • Pointer manipulation and reversal
  • Two-pointer techniques (fast/slow, gap)
  • Dummy node usage for edge cases
  • Hash map for complex node relationships

12. Bit Manipulation (Easy to Learn, Low ROI)

Why Low ROI: 3-5% of interviews, quick to master but rarely appears.

Essential Problems:

  • Single Number (Easy) LeetCode [NeetCode-150]
  • Number of 1 Bits (Easy) LeetCode [NeetCode-150]
  • Counting Bits (Easy) LeetCode [NeetCode-150]
  • Missing Number (Easy) LeetCode [NeetCode-150]
  • Reverse Bits (Easy) LeetCode [NeetCode-150]

Key Patterns:

  • XOR for finding unique elements
  • Bit masking and manipulation
  • Power of 2 operations

13. Trie (Medium to Learn, Low ROI)

Why Low ROI: 2-4% of interviews, specialized use cases.

Essential Problems:

  • Implement Trie (Prefix Tree) (Medium) LeetCode [Coding-Patterns, NeetCode-150]
  • Design Add and Search Words Data Structure (Medium) LeetCode [NeetCode-150]
  • Word Search II (Hard) LeetCode [NeetCode-150]

Key Patterns:

  • Prefix matching
  • Auto-complete systems
  • Word games and puzzles

14. Union Find (Medium to Learn, Low ROI)

Why Low ROI: 2-3% of interviews, very specialized.

Essential Problems:

  • Number of Connected Components in an Undirected Graph (Medium) LeetCode [NeetCode-150]
  • Redundant Connection (Medium) LeetCode [Coding-Patterns, NeetCode-150]

Key Patterns:

  • Connected components
  • Cycle detection in undirected graphs
  • Dynamic connectivity

15. Math & Geometry (Medium to Learn, Low ROI)

Why Low ROI: 3-5% of interviews, specialized mathematical problems.

Core Concept:

Solve problems involving mathematical calculations, geometric operations, and matrix manipulations.

🎯 Core Problems (Master These First):

  1. Rotate Image (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Matrix rotation in-place
  2. Spiral Matrix (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Matrix traversal with boundaries
  3. Set Matrix Zeroes (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Matrix modification with space optimization
  4. Plus One (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Array arithmetic with carry
  5. Multiply Strings (Medium) LeetCode [NeetCode-150]
    • Time: 30-35 min | Pattern: String arithmetic simulation
πŸ“š Practice More Math & Geometry (3 Additional Problems)

Additional Essential Problems:

  • Happy Number (Easy) LeetCode [NeetCode-150]
  • Pow(x, n) (Medium) LeetCode [NeetCode-150]
  • Detect Squares (Medium) LeetCode [NeetCode-150]

Key Patterns:

  • Matrix manipulation and traversal
  • Mathematical simulation
  • Geometric calculations
  • Number theory problems

16. Advanced Graphs (High to Learn, Low ROI)

Why Low ROI: 2-4% of interviews, very specialized graph algorithms.

Core Concept:

Advanced graph algorithms including shortest paths, minimum spanning trees, and complex graph traversals.

🎯 Core Problems (Master These First):

  1. Network Delay Time (Medium) LeetCode [NeetCode-150]
    • Time: 30-35 min | Pattern: Dijkstra's shortest path
  2. Min Cost to Connect All Points (Medium) LeetCode [NeetCode-150]
    • Time: 30-35 min | Pattern: Minimum spanning tree (Prim's)
  3. Cheapest Flights Within K Stops (Medium) LeetCode [NeetCode-150]
    • Time: 35-40 min | Pattern: Modified Dijkstra with constraints
πŸ“š Practice More Advanced Graphs (3 Additional Problems)

Additional Essential Problems:

  • Reconstruct Itinerary (Hard) LeetCode [NeetCode-150]
  • Swim In Rising Water (Hard) LeetCode [NeetCode-150]
  • Alien Dictionary (Hard) LeetCode [NeetCode-150]

Key Patterns:

  • Dijkstra's algorithm
  • Minimum spanning tree (Prim's/Kruskal's)
  • Bellman-Ford algorithm
  • Advanced graph traversal

17. Topological Sort (Medium to Learn, Low ROI)

Why Low ROI: 2-3% of interviews, specialized for dependency problems.

Core Concept:

Order vertices in a directed acyclic graph such that for every directed edge, the source comes before the destination.

🎯 Core Problems (Master These First):

  1. Course Schedule (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Cycle detection with topological sort
  2. Course Schedule II (Medium) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 25-30 min | Pattern: Topological ordering
  3. Alien Dictionary (Hard) LeetCode [Coding-Patterns, NeetCode-150]
    • Time: 35-40 min | Pattern: Build graph from constraints
πŸ“š Practice More Topological Sort (5 Additional Problems)

Additional Essential Problems:

  • Minimum Height Trees (Medium) LeetCode [Coding-Patterns]
  • Sequence Reconstruction (Medium) LeetCode [Coding-Patterns]
  • All Ancestors of a Node in a Directed Acyclic Graph (Medium) LeetCode
  • Find All Possible Recipes from Given Supplies (Medium) LeetCode
  • Parallel Courses (Medium) LeetCode

Key Patterns:

  • Kahn's algorithm (BFS-based)
  • DFS-based topological sort
  • Cycle detection in directed graphs
  • Dependency resolution

18. String Manipulation (Easy to Learn, Low ROI)

Why Low ROI: 4-6% of interviews, often covered in other topics.

Core Concept:

Advanced string processing, pattern matching, and text manipulation algorithms.

🎯 Core Problems (Master These First):

  1. Longest Palindromic Substring (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Expand around centers
  2. Palindromic Substrings (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Count palindromes
  3. Valid Palindrome II (Easy) LeetCode [Coding-Patterns]
    • Time: 20-25 min | Pattern: Palindrome with one deletion
  4. Implement strStr() (Easy) LeetCode [Coding-Patterns]
    • Time: 20-25 min | Pattern: String matching (KMP)
πŸ“š Practice More String Manipulation (4 Additional Problems)

Additional Essential Problems:

Key Patterns:

  • Palindrome detection and expansion
  • String parsing and validation
  • Pattern matching algorithms
  • Text processing and manipulation

19. Greedy (High Difficulty to Learn, Low ROI)

Why Low ROI: 4-6% of interviews, but high difficulty and problem-specific nature makes it low ROI.

Core Concept:

Make locally optimal choices at each step to find a global optimum.

🎯 Core Problems (Master These First):

  1. Maximum Subarray (Easy) LeetCode [NeetCode-150]
    • Time: 15-20 min | Pattern: Kadane's algorithm
  2. Jump Game (Medium) LeetCode [NeetCode-150]
    • Time: 20-25 min | Pattern: Greedy reachability
  3. Jump Game II (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Greedy minimum jumps
  4. Gas Station (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Greedy circular array
  5. Hand of Straights (Medium) LeetCode [NeetCode-150]
    • Time: 25-30 min | Pattern: Greedy grouping
πŸ“š Practice More Greedy (8 Additional Problems)

Additional Essential Problems:

  • Valid Parenthesis String (Medium) LeetCode [NeetCode-150]
  • Partition Labels (Medium) LeetCode [NeetCode-150]
  • Merge Triplets to Form Target Triplet (Medium) LeetCode [NeetCode-150]
  • Valid Palindrome II (Easy) LeetCode [Coding-Patterns]
  • Maximum Length of Pair Chain (Medium) LeetCode [Coding-Patterns]
  • Minimum Add to Make Parentheses Valid (Medium) LeetCode [Coding-Patterns]
  • Remove Duplicate Letters (Medium) LeetCode [Coding-Patterns]
  • Largest Palindromic Number (Medium) LeetCode [Coding-Patterns]

Key Patterns:

  • Local optimal choices leading to global optimum
  • Interval scheduling and activity selection
  • Greedy choice property
  • Optimization problems

πŸ“Š Complete Progress Tracking

High ROI Topics (Priority 1) ⭐⭐⭐⭐⭐

  • Arrays & Hashing (Easy) - 8/8 problems completed
  • Two Pointers (Easy) - 5/5 problems completed
  • Sliding Window (Easy) - 5/5 problems completed
  • Stack & Queue (Easy) - 5/5 problems completed
  • Breadth-First Search (Easy) - 5/5 problems completed
  • Depth-First Search (Medium) - 5/5 problems completed
  • Backtracking (High) - 6/6 problems completed

High ROI Completion: /7 topics (_%)

Medium ROI Topics (Priority 2) ⭐⭐⭐

  • Binary Search (Easy) - 5/5 problems completed
  • Heap (Medium) - 5/5 problems completed
  • Intervals (Medium) - 5/5 problems completed
  • Cyclic Sort (Easy) - 5/5 problems completed
  • K-way Merge (Medium) - 3/3 problems completed
  • Dynamic Programming (High) - 5/5 problems completed

Medium ROI Completion: /6 topics (_%)

Low ROI Topics (Priority 3) ⭐

  • Linked Lists (Medium) - 7/7 problems completed
  • Bit Manipulation (Easy) - 5/5 problems completed
  • Trie (Medium) - 3/3 problems completed
  • Union Find (Medium) - 2/2 problems completed
  • Math & Geometry (Medium) - 5/5 problems completed
  • Advanced Graphs (High) - 3/3 problems completed
  • Topological Sort (Medium) - 3/3 problems completed
  • String Manipulation (Easy) - 4/4 problems completed
  • Greedy (High) - 5/5 problems completed

Low ROI Completion: /9 topics (_%)


🎯 Final Study Recommendations

Time-Based Mastery Paths

πŸš€ 1-2 Weeks (Emergency Prep)

Goal: Cover highest-impact topics only

  • Days 1-3: Arrays & Hashing + Two Pointers (8+5 core problems)
  • Days 4-6: Sliding Window + Stack & Queue (5+5 core problems)
  • Days 7-10: BFS basics (5 core problems)
  • Expected Coverage: 50-65% of interview patterns
  • Success Rate: Good for junior/mid-level positions

πŸ“… 1 Month (Balanced Prep)

Goal: Master all high ROI topics

  • Week 1: Arrays & Hashing + Two Pointers (complete)
  • Week 2: Sliding Window + Stack & Queue (complete)
  • Week 3: BFS + DFS basics
  • Week 4: Advanced DFS + Backtracking fundamentals
  • Expected Coverage: 75-85% of interview patterns
  • Success Rate: Good for most positions

πŸ“š 2+ Months (Comprehensive Prep)

Goal: Complete mastery including medium and low ROI

  • Month 1: All High ROI topics (complete mastery)
  • Month 2: Binary Search + Heap + Intervals + Cyclic Sort + K-way Merge
  • Month 3: Dynamic Programming + Linked Lists
  • Month 4+: All Low ROI topics for 100% coverage
  • Expected Coverage: 95-100% of interview patterns
  • Success Rate: Excellent for senior positions and FAANG

πŸŽ–οΈ Mastery Milestones

Beginner β†’ Intermediate:

  • Complete all High ROI Easy topics (Arrays, Two Pointers, Sliding Window, Stack & Queue, BFS)
  • Solve 25+ problems across these topics
  • Can recognize patterns quickly

Intermediate β†’ Advanced:

  • Complete all High ROI topics including DFS and Backtracking
  • Solve 40+ problems across High ROI topics
  • Can solve medium problems independently

Advanced β†’ Expert:

  • Complete High + Medium ROI topics
  • Solve 60+ problems across all covered topics
  • Can tackle hard problems and optimize solutions

πŸ“– Source Attribution

This guide consolidates content from:

Methodology: Problems were consolidated across sources, duplicates removed, and organized by ROI data to create the most efficient study path possible.


πŸ”— Quick Reference Links


Remember: Focus on understanding patterns over memorizing solutions. The ROI-based approach ensures you're studying the most impactful topics first. Consistency beats intensity - study regularly and track your progress!

Good luck with your interviews! πŸš€

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Ultimate ROI-Optimized Coding Interview Preparation Guide

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