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GATE | GATE CS 2021 | Set 2 | Question 65

In a directed acyclic graph with a source vertex s, the quality-score of a directed path is defined to be the product of the weights of the edges on the path. Further, for a vertex v other than s, the quality-score of v is defined to be the maximum among the quality-scores of all the paths from s to v. The quality-score of s is assumed to be 1. The sum of the quality-scores of all vertices on the graph shown above is _______ .

(A)

929

(B)

81

(C)

729

(D)

1023

Answer

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