Dynamic Programming

7 Dynamic Programming Patterns That Solve Most LeetCode Questions

By Himanshu Saini

A pattern-first Dynamic Programming roadmap for LeetCode, placements, and internships. Learn the 7 DP patterns that cover most interview questions with a guided prev/next learning flow.

If Dynamic Programming feels random, difficult, or impossible, the issue is usually not DP itself.

The issue is that most students solve isolated questions instead of learning the small set of patterns those questions keep repeating.

This module turns that chaos into a guided sequence you can move through one screen at a time.

What you will move through

A structured sequence instead of one long article.

The module starts with the mental model, then walks through the seven core patterns, and finishes with revision support that helps the patterns stick.

01

A High-Value Roadmap to Stop Getting Stuck in DP

A short introduction to why Dynamic Programming feels random and how a pattern-first roadmap fixes it.

02

First Rule of Dynamic Programming

The four questions to ask before solving any Dynamic Programming problem.

03

Linear DP

Learn the Linear DP pattern for problems like Climbing Stairs, House Robber, and Maximum Subarray.

04

Prefix / Split DP

Learn the prefix and split DP pattern for string partitioning, decoding, and word break style questions.

05

Grid DP

Learn the Grid DP pattern for path counting, path sum, triangle, and matrix transition problems.

06

Knapsack DP

Learn the Knapsack DP pattern for subset sum, partition, coin change, and target-based interview questions.

07

Two Sequence / String DP

Learn the two-sequence DP pattern for LCS, edit distance, subsequences, and prefix comparison questions.

08

State Machine DP

Learn the state machine DP pattern for stock, cooldown, fee, and action-over-time interview questions.

09

Interval / Advanced DP

Learn the interval and advanced DP pattern for range-based, tree-based, and bitmask-heavy questions.

10

The Exact 30-Day High-Value Plan

A 30-day Dynamic Programming practice plan built around pattern recognition instead of random problem grinding.

11

Tricks That Instantly Help in New Questions

Quick recognition rules that make it easier to identify the right Dynamic Programming pattern in new questions.

12

Biggest Mistakes Students Make

The most common mistakes that keep students stuck in Dynamic Programming for longer than necessary.

13

Final Message

The mindset shift that makes Dynamic Programming feel less random and much more repeatable.

14

Frequently Asked Questions

Frequently asked questions about learning Dynamic Programming for placements, internships, and LeetCode.

Practice on this site

Use these DSA pages alongside the module.

Whenever a pattern clicks, reinforce it immediately with a few actual questions from the site instead of switching back to random practice.