Question: Q1 Give a greedy algorithm that attempts to compute a minimum-weight Hamiltonian cycle in a Euclidean graph. b. Prove by a counterexample that the greedy

Q1 Give a greedy algorithm that attempts to compute a minimum-weight Hamiltonian cycle in a Euclidean graph.

b. Prove by a counterexample that the greedy solution is not necessarily optimal.

c. Give a divide-and-conquer algorithm that attempts to compute a minimum-weight Hamiltonian cycle in a Euclidean graph. Analyze the time complexity of your algorithm.

d. Prove by a counterexample that your divide-and-conquer solution is not necessarily optimal

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