Monotonic Queue | Template | Detailed Dry Runs | Related Problems | codestorywithMIK
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This is the 3rd video of our playlist "Monotonic Data-Structures Concepts & Qns". Find the Details below:
Video Name: Monotonic Queue | Template | Detailed Dry Runs | codestorywithMIK
Video #: 3
🔍 Mastering DSA Smartly: Powerful Patterns, Simplified.
🎥 Welcome to the 3rd video of my Monotonic Data Structures Playlist!
🚀 In this session, we’ll take a complete deep dive into one of the most powerful yet underused data structures - the Monotonic Queue.
🔍 What’s Inside?
In this video, we’ll break down the intuition, visual behavior, and templates of Monotonic Queues - including both Increasing and Decreasing types - and how they help reduce brute-force O(n*k) logic to O(n) in specific problems.
We’ll cover:
✅ What is a Monotonic Queue?
✅ Monotonic Increasing Queue
✅ Monotonic Decreasing Queue
✅ Real Dry Run to Build Intuition
✅ Core Template (a.k.a. Khandani Template)
✅ When to Use Monotonic Queue (Identification Tips)
✅ Brute Force Approach for Max Element in Subarray
✅ Optimized Approach using Monotonic Queue
✅ Time Complexity and Observations
✅ List of Classic Problems where this shines
👨 🏫 With real intuition, visual thinking, and step-by-step coding - this video will simplify what once felt “tough”.
👩 💻 Who Should Watch?
If you’ve struggled with stack problems or find patterns hard to recognize, this is for you! Perfect for interview prep, CP, or leveling up your DSA concepts.
🚀 Master this session, and you’ll start spotting monotonic patterns effortlessly - even in unseen problems 🔥
📌 My Other Playlists
My DP Concepts Playlist: • Roadmap for DP | How to Start DP ? | Topic...
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Trie Playlist: • Word Search II (Google, Amazon, Meta, Micr...
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🧠 Summary:
In this video, we deep dive into Monotonic Queues - starting from intuition, structure, and why they’re powerful. We build both Monotonic Increasing & Decreasing Queues, understand the Khandani Template, and compare brute-force vs optimal solutions for Sliding Window Minimum. You’ll also see common mistakes, a time complexity breakdown, and how to blend this with DP or prefix sums.
Finally, I share how I personally approach Monotonic Queue questions in contests and interviews.
✨ Timelines ✨
00:00 - Introduction
0:09 - Motivation
0:49 - What is Monotonic Queue ?
1:55 - Monotonic Increasing Queue
5:39 - Khandani Template
7:17 - How does this help ? Sliding Window Minimum
9:28 - Brute Force for Sliding Window Minimum
13:00 - Optimal for Sliding Window Minimum using Monotonic Increasing Queue
21:28 - Most important part of Dry Run
29:13 - Correction in Template
32:54 - Monotonic Decreasing Queue
33:07 - Khandani Template
35:36 - REMEMBER - Keep in mind
36:33 - Problems Based on Monotonic Queue
37:24 - Mixture of Monotonic Queue with DP or Cumulative Sum
37:42 - How I approach such problems
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