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Scheme, computer science, Basic Computer Science

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There is a path between two vertices if there is a series of edges that you can use to travel between them. For example, between vertices 1 and 3 above, there is a path made up of the edges (1 2) and (2 3), written ((1 2)(2 3)). A path may not include repeated vertices.
Write two functions: in Scheme, a predicate path?, which takes a graph and two numbers indicating vertices, which returns true iff there is a path between them.:

(path? ''(5 ((1 2)(2 3)(3 4)(3 5)(4 5))) 1 5)
#t
(path? ''(5 ((1 2)(3 4)(3 5)(4 5))) 1 5)
#f

In Prolog, write a query path(+G, +V1, +V2) which succeeds iff there is a path in graph G between vertices V1 and V2.

path(graph(5, [[1,2],[2,3],[3,4],[3,5],[4,5]]), 1 5).
true.
path(graph(5, [[1,2],[3,4],[3,5],[4,5]]), 1 5).
false.

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