What are Monotonic Data Structures | Monotonic Stack | Template | codestorywithMIK

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This is the 2nd video of our playlist "Monotonic Data-Structures Concepts & Qns". Find the Details below:

Video Name: What are Monotonic Data Structures | Monotonic Stack | Template | codestorywithMIK
Video #: 2

🔍 Mastering DSA Smartly: Powerful Patterns, Simplified.

🎥 Welcome to the 2nd video of my Monotonic Data Structures Playlist!
🚀 In this session, we’ll build a solid understanding of Monotonic Stacks, their structure, intuition, and most importantly — a universal template you can apply in many classic DSA problems.

🔍 What’s Inside?
In this video, we decode the core idea behind Monotonic Data Structures and understand how to use them to solve problems like Next Smaller Element, Next Greater Element, and more — in O(n) time!

We’ll cover:
✅ What are Monotonic Data Structures?
✅ Deep dive into Monotonic Stacks (Increasing & Decreasing)
✅ Khandani Template for solving stack-based problems
✅ Brute Force vs Optimal (NSEL, NSER, NGEL, NGER)
✅ Time complexity and key observations

👨 ‍🏫 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 🔥

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🧠 Summary:
In this video, we demystify Monotonic Data Structures and walk through the most used structure: the Monotonic Stack. You’ll learn how to identify when to use it, apply a reusable template, and solve variations like NSEL, NSER, and NGEL, NGER efficiently. With real intuition and no skipping steps, this is a must-watch for acing stack-related DSA problems.


✨ Timelines ✨
00:00 - Introduction
00:10 - Motivation
00:57 - What is Monotonic Data Structure?
03:16 - What is Monotonic Stack?
03:49 - Monotonic Increasing Stack
06:25 - Khandani Template
11:17 - How does this help? Next Smaller Element to the Left (NSEL)
12:53 - Brute Force for NSEL
15:24 - Optimal for NSEL using Monotonic Increasing Stack
22:53 - Time Complexity
24:41 - Next Smaller Element to the Right (NSER)
26:12 - Monotonic Decreasing Stack
28:49 - Khandani Template
30:00 - How does this help? Next Greater Element to the Left (NGEL)
31:00 - Brute Force for NGEL
32:54 - Optimal for NGEL using Monotonic Decreasing Stack
36:23 - Time Complexity
38:27 - Important Observation - REMEMBER


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