Question: Dynamic programming can also work well on tree structures. Let us call a subset S of vertices a blanket if every edge is adjacent to

Dynamic programming can also work well on tree structures. Let us call a subset S of vertices a blanket if every edge is adjacent to at least one vertex of S. Suppose that we wish to find the minimum sized blanket for a tree. Find an algorithm that finds a minimum-sized blanket of a tree and runs in time O(|V|); also give the space used by your algorithm.

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