HBC25099签到签到签到[USACO 2006 Dec S]Cow Roller Coaster题解

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They want your help to design as fun a roller coaster as possible, while keeping to the budget.The roller coaster will be built on a long linear stretch of land of length L . The roller coaster comprises a collection of some of the N different interchangable components. Each component i has a fixed length Wi . Due to varying terrain, each component i can be only built starting at location Xi . The cows want to string together various roller coaster components starting at 0 and ending at L so that the end of each component is the start of the next component.Each component i has a "fun rating" Fi and a cost Ci . The total fun of the roller coster is the sum of the fun from each component used; the total cost is likewise the sum of the costs of each component used. The cows' total budget is B . Help the cows determine the most fun roller coaster that they can build with their budget.

The cows are building a roller coaster! They want your help to design as fun a roller coaster as possible, while keeping to the budget. The roller coaster will be built on a long linear stretch of land of length L (1 ≤ L ≤ 1,000). The roller coaster comprises a collection of some of the N (1 ≤ N ≤ 10,000) different interchangable components. Each component i has a fixed length Wi (1 ≤ Wi ≤ L). Due to varying terrain, each component i can be only built starting at location Xi (0 ≤ Xi ≤ L - Wi). The cows want to string together various roller coaster components starting at 0 and ending at L so that the end of each component (except the last) is the start of the next component. Each component i has a "fun rating" Fi (1 ≤ Fi ≤ 1,000,000) and a cost Ci (1 ≤ Ci ≤ 1000). The total fun of the roller coster is the sum of the fun from each component used; the total cost is likewise the sum of the costs of each component used. The cows' total budget is B (1 ≤ B ≤ 1000). Help the cows determine the most fun roller coaster that they can build with their budget.

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标签： HBC25099签到签到签到[USACO 2006 Dec S]Cow Roller Coaster题解