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A problem X belongs to P complexity class if there exist ________ algorithm to solve that problem, such that the number of steps of the algorithms bounded by a polynomial in n, where n is the length of the input.

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A problem X belongs to P complexity class if there exist ________ algorithm to solve that problem, such that the number of steps of the algorithms bounded by a polynomial in n, where n is the length of the input.

(a) 1

(b) 2

(c) 3

(d) all of the mentioned

The question was posed to me during an interview for a job.

The query is from Problem Solvable in Polynomial Time topic in chapter Intractable Problems of Automata Theory

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The correct choice is (d) all of the mentioned

The best I can explain: A problem X belongs to P complexity class if there exist atleast 1 algorithm to solve that problem, such that the number of steps of the algorithms bounded by a polynomial in n, where n is the length of the input. Thus, all the options are correct.

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