Question: Need efficient correct high level algorithm description with correctness proof. Given a DAG G, a starting vertex s and an ending vertex t, design a

Need efficient correct high level algorithm description with correctness proof. Given

Need efficient correct high level algorithm description with correctness proof.

Given a DAG G, a starting vertex s and an ending vertex t, design a linear time algorithm that returns the total number of different paths from s to t. (Hint: fill in an array called num-paths( x ) that is indexed by vertices and is set to the number of paths from s to x. Note that num-paths[s] = 1.)

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