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Which of the following cannot solve Hamilton Circuit problem?

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Which of the following cannot solve Hamilton Circuit problem?

(a) DNA Computer

(b) Monte Carlo algorithm

(c) Dynamic programming

(d) None of the mentioned

I had been asked this question at a job interview.

Question is from Node-Cover Problem, Hamilton Circuit Problem in division Intractable Problems of Automata Theory

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Correct choice is (d) None of the mentioned

For explanation I would say: Using Inclusion-exclusion principle, Andreas showed how to solve Hamilton Circuit problem in arbitrary n-vertex graphs by a Monte Carlo algorithm in time O(1.657n).

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