2. You are given a directed acyclic graph G = (V,E) with real-valued edge weights and two distinguished vertices s and t. The weight of a path is the sum of the weights of the edges in the path. Describe a dynamic-programming approach for finding a longest weighted simple path from s to t. Prove the correctness of your algorithm and analyze its running time.

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2. You are given a directed acyclic graph G = (V,E) with real-valued edge weights and two
distinguished vertices s and t. The weight of a path is the sum of the weights of the edges in
the path. Describe a dynamic-programming approach for finding a longest weighted simple
path from s to t. Prove the correctness of your algorithm and analyze its running time.
Transcribed Image Text:2. You are given a directed acyclic graph G = (V,E) with real-valued edge weights and two distinguished vertices s and t. The weight of a path is the sum of the weights of the edges in the path. Describe a dynamic-programming approach for finding a longest weighted simple path from s to t. Prove the correctness of your algorithm and analyze its running time.
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