LearnThatStack Ace your next interview
Big-O & Complexity Analysis · question
Question 5 of 53

How do you work out the time complexity of a simple loop?

beginner
← All Big-O & Complexity Analysis questions
Re-explain

Count how many times the loop body runs as the input grows. A loop that visits every one of n items runs n times. If each pass does a fixed amount of work, the loop is O(n).

for (let i = 0; i < n; i++) {
  total += arr[i]; // runs n times, O(1) each
}
// whole loop: O(n)

The loop bound is what matters, not the constant work inside. A loop from zero to n stays O(n) even if the body does ten small steps.

Look at what the counter depends on. If it runs a fixed number of times regardless of input, that part is O(1). A bound that grows differently, like stopping at the square root of n, changes the class.

Rewriting in plainer words…

This answer doesn't lend itself to a diagram - it reads best . No credits were charged.

Why there's no diagram: “”

The interactive diagram is below the answer - jump to diagram ↓ · Below it, the related concept . Jump to it ↓

The diagram below the answer is the concept . Jump to it ↓

Tailored explanation · switch back to · ·
What should the new diagram focus on?
How well did you know this?
AI:

Saved in this browser - sign in to keep your review list.

How should your speech become text?

Listening… your words appear above as you speak - tap Stop when you're done.

Recording · cr - tap Stop & transcribe when you're done.

Transcribing with AI…

Voice:

Keep going - a few more words and AI can grade it.

Interview lens

Likely follow-ups, what you can say, and the weak answers to avoid.

Sign in free to open it Free account - the lens opens as soon as you're back.

Want a quick review of the fundamentals? See the Big-O & Complexity Analysis cheatsheet.

← Back to all Big-O & Complexity Analysis questions
Pro · $10/mo

46 of 53 Big-O & Complexity Analysis answers are in Pro.

Full answers, code samples, and AI explanations that go simpler or deeper. Cancel anytime.

  • Full answers + code
  • AI explanations, simpler or deeper
  • 1,000 AI credits / month
  • Cancel anytime