Dynamic Programming — Free DSA Tutorial

Learn Dynamic Programming in DSA with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.

✓ 100% Free ✓ No Login Needed ✓ NCERT / CBSE Aligned ✓ Download as PDF

TL;DR: Learn Dynamic Programming in DSA with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.

Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated Sep 17, 2026

🤖 Stuck on any question? Ask Syllab's free AI Tutor for a step-by-step explanation — instant, unlimited, no login.

Dynamic Programming in DSA

Dynamic Programming (DP) solves problems that have overlapping subproblems and optimal substructure — the answer is built from answers to smaller versions of the same problem, and those smaller answers repeat. Instead of recomputing them (exponential time), we store and reuse them.

Two styles: top-down (recursion + memoisation — cache each result the first time you compute it) and bottom-up (tabulation — fill an array from the smallest subproblem upward). The classic first example is Fibonacci: naive recursion is O(2ⁿ), but with memoisation it drops to O(n).

Learn Dynamic Programming step by step with Syllab's free interactive DSA tutorial — runnable code examples, practice exercises and instant AI feedback, all free with no signup. Explore the full DSA course →