Foundations

What is Big O Notation?

A way to describe how runtime or memory grows as input size increases.

n ×2 → steps ×2 · O(n)

Finish the sentencePrompthaus

Big O notation describes…

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In real work

Big O notation: this search is O(n) because it scans the whole list once.

In the illustration

The head checks all 8 slots and the counter stops at 8; the belt doubles to 16 slots, the head scans again and the counter reaches 16.

Use it in a prompt

Give me the big o notation for the duplicate finder in your coding agent and rewrite it from the nested loop to a set lookup, then show the two timings on 50,000 rows.

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