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In a computational complexity theory, a problem with decision making is said to be NP-complete when it is both in NP and NP-hard. What does NP mean?

(a) Non Polynomial time

(b) Non-deterministic Probabilistic

(c) Non-deterministic Polynomial time

(d) Non Probabilistic time

I have been asked this question in examination.

Query is from Pancake Sort in chapter Sorting of Data Structures & Algorithms II

1 Answer

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Best answer
Right choice is (c) Non-deterministic Polynomial time

The best explanation: Although any given solution to an NP-complete problem can be validated quickly in polynomial time; there is no way to efficiently locate a solution to begin with. The unique characteristic of NP-complete problems is that no fast solution to them is known and hence NP-complete problems are said to be non-deterministic polynomial time.

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