Q. Two persons X and Y have been asked to show that a certain problem p is NP-complete. X shows a polynomial time reduction from the 3-SAT problem to p and Y shows a polynomial time reduction from p to 3-SAT. From these reduction it can be inferred that (Solved)

1. P is NP-complete

2. P is NP-hard but not NP-complete

3. P is in NP but not NP-complete

4. P is neither NP-hard nor in NP

  • a. P is NP-complete
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