2026-01-15 · 12 min read
How to Master Dynamic Programming for Interviews
A practical framework for DP: states, transitions, and problem selection.
How to Master Dynamic Programming
Dynamic Programming is not about memorizing 100 problems. It is about defining state, writing transitions, and proving complexity.
The AlgoForge DP loop
- Can the problem be solved with recursion + memo?
- What is the minimal state that captures subproblems?
- What is the base case?
- Bottom-up or top-down?
Problem order
Start with Climbing Stairs → House Robber → Coin Change → LIS → grid paths.
See the DP roadmap for a full path.