A thread you can test
Complexity: Is This Code Worth It?
2 notes move from the word to a real choice at work — understand it first, then decide whether to use it.
Each note stands alone, or becomes the next step in this thread.
THE QUESTION THIS PAGE ANSWERS
ANSWER FIRSTWhat is Complexity: Is This Code Worth It?, and which AI decisions does it change?
Drag the data-size slider and watch O(1), O(log n), O(n), and O(n²) diverge; 10× the data—who barely flinches, who blows up on the spot This page keeps the related concepts, common mistakes, and practical notes in one reading thread.
First decide whether you are blocked by a definition, a choice, or verification; then choose the closest of the 2 notes below.
Start with “Big-O: See at a Glance How Long Code Will Run,” then restate the conclusion using your own task.
Do not treat every method in a topic as interchangeable. The answer changes with the input, risk, and acceptance bar.
THIS QUESTION THREAD
Put the word back inside the choice it changes.
Big-O: See at a Glance How Long Code Will Run
Drag the data-size slider and watch O(1), O(log n), O(n), and O(n²) diverge; 10× the data—who barely flinches, who blows up on the spot
Why Longer Context Costs More: The O(n²) Bill
The attention mechanism makes every token look at every token: drag context length and watch compute and the bill climb with the square—why long chats get slow and expensive