https://www.luogu.org/problem/show?pid=3014 题目描述 The N (1 <= N <= 20) cows conveniently numbered 1...N are playing yet another one of their crazy games with Farmer John. The cows will arrange themselves in a line and ask Farmer John what their line…

康托展开 康托展开为全排列到一个自然数的映射, 空间压缩效率很高. 简单来说, 康托展开就是一个全排列在所有此序列全排列字典序中的第 \(k\) 大, 这个 \(k\) 即是次全排列的康托展开. 康托展开是这样计算的: 对于每一位, 累计除了前面部分, 字典序小于本位的排列总数, 即 LL cantor(){ LL ans = 0; for(LL i = 1;i <= num;i++){ LL cnt = 0; for(LL j = i + 1;j <= num;j++){ if(ask[j]…

P3014 [USACO11FEB]牛线Cow Line 题目背景 征求翻译.如果你能提供翻译或者题意简述,请直接发讨论,感谢你的贡献. 题目描述 The N (1 <= N <= 20) cows conveniently numbered 1...N are playing yet another one of their crazy games with Farmer John. The cows will arrange themselves in a line and ask Far…

如果在阅读本文之前对于康托展开没有了解的同学请戳一下这里:  简陋的博客    百度百科 题目描述 N(1<=N<=20)头牛,编号为1...N,正在与FJ玩一个疯狂的游戏.奶牛会排成一行(牛线),问FJ此时的行号是多少.之后,FJ会给牛一个行号,牛必须按照新行号排列成线. 行号是通过以字典序对行的所有排列进行编号来分配的.比如说:FJ有5头牛,让他们排为行号3,排列顺序为: 1:1 2 3 4 5 2:1 2 3 5 4 3:1 2 4 3 5 因此,牛将在牛线1 2 4 3 5中. 之后,…

Best Cow Line   Time Limit: 1000MS      Memory Limit: 65536K Total Submissions: 16104    Accepted: 4547 Description FJ is about to take his N (1 ≤ N ≤ 2,000) cows to the annual"Farmer of the Year" competition. In this contest every farmer arrang…

POJ 3617 Best Cow Line Time Limit: 1000MS Memory Limit: 65536K [Description] [题目描述] FJ is about to take his N (1 ≤ N ≤ 2,000) cows to the annual "Farmer of the Year" competition. In this contest every farmer arranges his cows in a line and herds…

康托展开 裸的康托展开&逆康托展开 康托展开就是一种特殊的hash,且是可逆的…… 康托展开计算的是有多少种排列的字典序比这个小,所以编号应该+1:逆运算同理(-1). 序列->序号:(康托展开) 对于每个数a[i],数比它小的数有多少个在它之前没出现,记为b[i],$ans=1+\sum b[i]* (n-i)!$ 序号->序列:(逆康托展开) 求第x个排列所对应的序列,先将x-1,然后对于a[i],$\left\lfloor \frac{x}{(n-i)!} \right\rflo…

3403: [Usaco2009 Open]Cow Line 直线上的牛 Time Limit: 3 Sec  Memory Limit: 128 MBSubmit: 48  Solved: 41[Submit][Status] Description 题目描述     约翰的N只奶牛(编为1到N号)正在直线上排队．直线上开始的时候一只牛也没有．接下来发生了S(1≤S≤100000)次事件,一次事件可能是以下四种情况之一:   ．一只奶牛加入队伍的左边(输入“AL”)．   ．一只奶牛加入队伍的…

3301: [USACO2011 Feb] Cow Line Time Limit: 10 Sec  Memory Limit: 128 MBSubmit: 67  Solved: 39[Submit][Status] Description The N (1 <= N <= 20) cows conveniently numbered 1...N are playing yet another one of their crazy games with Farmer John. The co…

1640: [Usaco2007 Nov]Best Cow Line 队列变换 Time Limit: 5 Sec  Memory Limit: 64 MBSubmit: 493  Solved: 253[Submit][Status] Description FJ打算带着他可爱的N (1 ≤ N ≤ 2,000)头奶牛去参加”年度最佳老农”的比赛.在比赛中,每个农夫把他的奶牛排成一列,然后准备经过评委检验. 比赛中简单地将奶牛的名字缩写为其头字母(the initial letter of e…