Riya Sharma

Dynamic Programming (DP) has a bit of a scary reputation in the coding world. If you’ve ever looked at a DP solution and thought, "How on earth did someone come up with that?"—you are definitely not alone.

But stripped down to its core, DP isn't magic. It’s just an incredibly smart way of trading a little bit of memory to save a massive amount of time. It's the ultimate coding shortcut: solving a problem once, writing down the answer, and never doing the hard work twice.

Let’s break it down together, step-by-step, without the academic jargon.

In data structures, a stack is a linear data structure that follows the LIFO (Last In First Out) principle. This means the element inserted last is removed first. Stacks are widely used in programming for recursion, expression evaluation, browser history, and many other applications.