Multiple choice

Ram and Shyam have been asked to show that a certain problem $\prod$is NP-complete. Ram shows a polynomial time reduction from the 3-SAT problem to$\prod$, and Shyam shows a polynomial time reduction from $\prod$to 3-SAT. Which of the following can be inferred from these reductions?

  1. $\prod$ is NP-hard but not NP-complete
  2. $\prod$ is in NP, but is not NP-complete
  3. $\prod$is NP-complete
  4. $\prod$is neither NP-hard, nor in NP
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation