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Most of this problem is that it's going to involve building an improved search tree

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for the vertex cover problem.

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So in order to start off with that, let's go ahead and try building the naive approach

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which is very similar to what you did in problem set 1, if you'd like to

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take a look back at that very quickly.

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Let's take a look at this.

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I'd like you to fill in a function, recursive vertex cover, that takes an input graph,

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which is a list of lists, and an assignment, which is a list of vertices that we cover

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and then builds the search tree from that.

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So what your code should do--first, it should check if it's still possible

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to construct a valid vertex cover.

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If not, you should return float inf, the Python expression for infinity.

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If the assignment is a valid vertex cover, then you return the size of that cover.

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Otherwise, I want you to find a vertex v that does not have an assignment.

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And, once again, I'd recommend checking out the naive algorithm

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you implemented in problem set 1

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for a different NP problem that is very similar to this one.