I ran into a question on previous Mid-Exam. anyone could clarify me?

Problem A: Given a Complete Weighted Graph G, find a Hamiltonian Tour with minimum weight.

Problem B: Given a Complete Weighted Graph G and Real Number R, Is G has a Hamiltonian Tour with weight at most R?

Suppose there is a machine that solves B. with how many times call of B (each time G and Real number R are given), We Can solve problem A with that machine? suppose the sum of Edges in G up to M.

1) We cannot do this, because there is uncountable state.

2) O(|E|) times

3) O(lg m) times

4) because A is NP-Hard, This is cannot be done.

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