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Advanced Topic 36 of 51 Theory & Discrete Math

Class NP

Problems whose solutions can be verified quickly.

How it works

NP is the class of problems whose "yes" answers have polynomial-size certificates verifiable in polynomial time, equivalently solvable by nondeterministic polynomial-time machines.

Where it is used

Sudoku, SAT, traveling salesman decision form.

Common pitfall

NP stands for nondeterministic polynomial, not "non-polynomial".

Where it fits in the course

Class NP is topic 36 of 51 in Theory & Discrete Math, rated Advanced. It follows Class P. The next topic is NP-Completeness.

Practice and explore

How to study this topic

  1. Read the explanation above and restate the definition in your own words.
  2. Open the interactive lesson and answer its mini quiz.
  3. Read the common pitfall, then write a short example that avoids it.
  4. Check your understanding in the Theory & Discrete Math quiz, and revisit the topic if you miss a question.

Frequently asked questions

What is Class NP?
Problems whose solutions can be verified quickly. It belongs to Theory & Discrete Math and is an advanced-level topic.
Where do people use Class NP?
Sudoku, SAT, traveling salesman decision form.
What is the most common mistake with Class NP?
NP stands for nondeterministic polynomial, not "non-polynomial".
What should I learn before this topic?
Start with Class P, the topic just before it in Theory & Discrete Math.
How can I practice it?
Answer the mini quiz in the interactive lesson, then take the Theory & Discrete Math quiz.
Is Class NP hard to learn?
It is an Advanced topic. Expect to read the explanation more than once and to connect it with earlier topics. Working through a small example by hand helps most.
How long does it take to learn Class NP?
Most learners can read the explanation and finish the interactive lesson in under an hour. Fluency comes from applying the idea, so plan a few short practice sessions with the quiz.
Which topics are related to Class NP?
Class P, NP-Completeness, Complexity Classes are closely connected. The full list is in the related topics section of this page.
What should I study after Class NP?
Continue with NP-Completeness, the next topic in Theory & Discrete Math.

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