Question: design a dynamic programming algorithm and do a proof of correctness using induction/contradiction. You do not have to program, just give pseudo code description of

design a dynamic programming algorithm and do a proof of correctness using induction/contradiction. You do not have to program, just give pseudo code description of algorithm and the proof must be a formal proof.

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Lets say have a tree X with non-negative edge weights and a positive integer m. Design an algorithm in O(nm^2) time time that finds a connected subgraph of X with a minimum weight that contains at least m edges.

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