Q. 79 Let SHAM3 be the problem of finding a Hamiltonian cycle in a graph G = (V,E) with V divisible by 3 and DHAM3 be the problem of determining if a Hamiltonian cycle exists in such graphs. Which one of the following is true?
(A) Both DHAM3 and SHAM3 are NP-hard
(B) SHAM3 is NP-hard, but DHAM3 is not
(C) DHAM3 is NP-hard, but SHAM3 is not
(D) Neither DHAM3 nor SHAM3 is NP-hard
Answer: (A)
Explanation: 
