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

  1. Can the problem be solved with recursion + memo?
  2. What is the minimal state that captures subproblems?
  3. What is the base case?
  4. 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.