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- NO! You are describing an algorithm not a problem! NP-Completeness is defined on problems not algorithms. A problem is NP-Complete if and only if it is: (1) In NP. (2) has a polynomial reduction from each problem in NP.amit– amit2012-12-01 07:43:52 +00:00Commented Dec 1, 2012 at 7:43
- @amit: ...who was talking about NP-completeness in the first place?user541686– user5416862012-12-01 07:46:30 +00:00Commented Dec 1, 2012 at 7:46
- However - note that the answer is still not complete, a problem is in NP if you can check the correctness of every correct and every incorrect answer for every instance of this problem in polynomial time.amit– amit2012-12-01 07:57:24 +00:00Commented Dec 1, 2012 at 7:57
- @amit: Yeah I forgot to mention that, since it was already in the question... feel free to edit it if you'd likeuser541686– user5416862012-12-01 08:03:20 +00:00Commented Dec 1, 2012 at 8:03
- I thought only a "yes" answer needed to be verifiable in poly time for a problem to be in NP? If the answer is "no", it could run forever and still be in NP. Is my understanding wrong? I'm referring to a deterministic machine.goat– goat2012-12-01 16:26:57 +00:00Commented Dec 1, 2012 at 16:26
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