Your hand on latest installation of Super Mario

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Question

You just got your hand on the latest installation of Super Mario. In the game, there are n castles 1, 2, . . . , n and m roads connecting them. Let V be the set of castles and E be the set of roads. Castle 1 is Toad Town, Mario's starting location. As we know from the side-scrollers, all roads can only be traversed in one direction and interestingly, all paths eventually lead to Bowser's castle, castle n i.e. castle n can be reached from all other castles. Moreover, there is no directed cycle in the world (the world is a directed acyclic graph). At castle i, there are ci gold coins. You would like to get from castle 1 to castle n while collecting the maximum number of gold coins. Armed with deep knowledge of dynamic programming, you are eager to figure the game out.

Reference no: EM133673751

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