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2016

BZOJ 1649: [Usaco2006 Dec]Cow Roller Coaster (dp,类似01背包)

·3 mins
# Time Limit: 5 Sec Memory Limit: 64 MB Submit: 504 Solved: 265 [Submit][Status][Discuss] Description # 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.

BZOJ 1642: [Usaco2007 Nov]Milking Time 挤奶时间 (dp,类似LIS)

·2 mins
# Time Limit: 5 Sec Memory Limit: 64 MB Submit: 667 Solved: 389 [Submit][Status][Discuss] Description # 贝茜是一只非常努力工作的奶牛,她总是专注于提高自己的产量。为了产更多的奶,她预计好了接下来的N (1 ≤ N ≤ 1,000,000)个小时,标记为0..N-1。 Farmer John 计划好了 M (1 ≤ M ≤ 1,000) 个可以挤奶的时间段。每个时间段有一个开始时间(0 ≤ 开始时间 ≤ N), 和一个结束时间 (开始时间 < 结束时间 ≤ N), 和一个产量 (1 ≤ 产量 ≤ 1,000,000) 表示可以从贝茜挤奶的数量。Farmer John 从分别从开始时间挤奶,到结束时间为止。每次挤奶必须使用整个时间段。 但即使是贝茜也有她的产量限制。每次挤奶以后,她必须休息 R (1 ≤ R ≤ N) 个小时才能下次挤奶。给定Farmer John 计划的时间段,请你算出在 N 个小时内,最大的挤奶的量。