Tags

Loops & Iteration

Loops & Iteration

1 lesson
2 code snippets
4 question banks
1 community item

loops

Foundations

1 lesson

Counting Operations

Free
Beginner

35 min

1 prereq

In **Algorithms and Efficiency** you saw the core question: when two programs solve the same problem, how do you know which one scales better? The answer lies in *counting*. Before any formal notation, before any mathematical symbols, there is a hands-on skill that every strong programmer develops: looking at a piece of code and tallying the work it performs as the input grows. **Counting Operations** teaches exactly that skill. You will learn what counts as a single operation, how to trace a loop and tally its iterations, how to build an operations table that reveals the relationship between input size and work, and what happens when loops are nested. By the end of this lesson you will be able to look at a code snippet and say: "for input size n = 10 this runs about 10 steps; for n = 100, about 100 steps; for n = 1000, about 1000 steps" and mean it precisely. You will also compare two solutions to the same problem side by side -- counting operations for each as n grows -- and experience the lightbulb moment: when inputs are small both solutions feel fine, but as n climbs the difference becomes impossible to ignore. That concrete, tangible understanding of scaling behaviour is the foundation everything else rests on. In the next lesson, **Asymptotic Analysis Fundamentals**, you will take exactly these operation counts and formalize them with the mathematical framework that makes comparison rigorous. Everything you practice counting here becomes the raw material for the O() notation and growth-rate rankings you will learn there.

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Foundations
Beginner
Free
Loops & Iteration
Efficiency
Fundamentals