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GATE | GATE-CS-2003 | Question 12

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 ?

(A)

Π is NP-hard but not NP-complete

(B)

Π is in NP, but is not NP-complete

(C)

Π is NP-complete

(D)

Π is neither NP-hard, nor in NP

Answer

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