Ram and Shyam have been asked to show that a certain problem Π is NP-complete.…

GATE · 2003 · CS

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

  1. A.

    Π is NP-hard but not NP-complete

  2. B.

    Π is in NP, but is not NP-complete

  3. C.

    Π is NP-complete

  4. D.

    Π is neither NP-hard, nor in NP

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