每一件物品有两个属性.朴素思想是把这两种属性都设计到状态里,但空间爆炸.又因为这两个属性相互间存在制约关系(差的绝对值最小),不妨把答案设计入状态中,设$f[i][j]$选$i$个人,两者之差$j$.这样dp.于是$O(NM^3)$暴力背包即可,记录转移,也就是$g[i][j][k]$来表示当前到这个人$i$的时候选了$j$人,是怎么转移的,如果由$j-1$转移,说明这个人$i$选了. #include<iostream> #include<cstdio> #include<…

Jury Compromise Time Limit: 1000MS   Memory Limit: 65536K Total Submissions:32355   Accepted:8722   Special Judge Description In Frobnia, a far-away country, the verdicts in court trials are determined by a jury consisting of members of the general p…

题目: In Frobnia, a far-away country, the verdicts in court trials are determined by a jury consisting of members of the general public. Every time a trial is set to begin, a jury has to be selected, which is done as follows. First, several people are…

洛谷传送门 $Sol$ 这是一道具有多个“体积维度”的$0/1$背包问题. 把$N$个候选人看做$N$个物品,那么每个物品有如下三种体积: 1.“人数”,每个候选人的“人数”都是$1$,最终要填满容积为$M$的背包 2.“辩方得分”,$a[i]$ 3.“反方得分”,$b[i]$ 要求的是辩方总分$D$和控方总分$P$的差的绝对值$|D-P|$最小,如果选择方法不唯一,那么在从中选择$D+P$最大的方案 所以将$a[i]-b[i]$作为体积之一,将$a[i]+b[i]$作为该物品的价值 注意这里的…

题目大意:要求你从n个人中选出m个,每个人有两个值p[i],D[i],要求选出的人p总和与D总和的差值最小.若有相同解,则输出p总+D总最大的方案. 动态规划. 一直在想到底是n枚举外面还是m放外面,好像两者都可以? 做了越来越多的那种“当前层改变下一层”,乍一看题解还以为这是道斜率优化呢. #include<cstdio> #include<cstring> #include<algorithm> #define inf 1000000000 using namesp…

In Frobnia, a far-away country, the verdicts in court trials are determined by a jury consisting of members of the general public. Every time a trial is set to begin, a jury has to be selected, which is done as follows. First, several people are draw…

作为一个oier,以及大学acm党背包是必不可少的一部分.好久没做背包类动规了.久违地练习下-.- dd__engi的背包九讲:http://love-oriented.com/pack/ 鸣谢http://blog.csdn.net/eagle_or_snail/article/details/50987044,这里有大部分比较有趣的dp练手题. hud 2602 01背包板子题 #include<cstdio> #include<iostream> #include<cs…

\(Jury Compromise\) \(solution:\) 这道题很有意思,它的状态设得很...奇怪.但是它的数据范围实在是太暴露了.虽然当时还是想了好久好久,出题人设了几个限制(首先要两个的总和差值最小)(然后需要让它的总和最大).我们发现每一个人的顺序是无关紧要的,这其实又提示了我们可以背包.但我们发现很难设状态,我们需要让我们的总差值接近0,但是我们在加人的时候我们的总差值可能会增大也可能会减小,这不符合背包的基本要求,所以我们不能将总差值设为我们背包的权值.于是一个奇妙的想法产生…

题目链接: http://poj.org/problem?id=1015 Jury Compromise Time Limit: 1000MSMemory Limit: 65536K 问题描述 In Frobnia, a far-away country, the verdicts in court trials are determined by a jury consisting of members of the general public. Every time a trial is…

Jury Compromise Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 33737   Accepted: 9109   Special Judge Description In Frobnia, a far-away country, the verdicts in court trials are determined by a jury consisting of members of the general…