思路:用一个数组index[]存放a的下标,初始化令a[i]=c[i]=index[i]=i; 假设当前处理的i,初始时令cur=i:j为大于i的任意值.每次操作找a[l]=c[cur]-b[cur]. 若cur==l则结束:否则交换a[l]和a[cur]的值以及下标.若l>i,那么结束:否则令cur=l, 然后交换c[cur]和c[j],继续处理知道该轮结束. 代码如下: #include<iostream> #include<stdio.h> #include<al…

研究一下建树 : /* HDU 6044 - Limited Permutation [ 读入优化,笛卡尔树 ] | 2017 Multi-University Training Contest 1 题意: 给出两组序列 l[i], r[i], 代表以 p[i] 为最小值所在的区间的边界 问 满足这些条件的序列 p 的个数 分析: 必定能找到一个p[i] 使得 l[i] == 1, r[i] == n ,其将数组分成两块[1, i-1], [i+1, n] 以之为根节点,将区间为[1, i-1]…

[题目链接] http://acm.hdu.edu.cn/showproblem.php?pid=6044 [题目大意] 给出两个序列li,ri,现在要求构造排列p,使得对于区间[li,ri]来说, pi是区间中最小的值,且[li,ri]是满足pi是区间最小值的最大区间 [题解] 我们发现对于区间[L,R],我们可以按照Dfs序找到支配这个区间的pi, 对于找到的每个pi,我们将剩余的数字划分到左右区间继续进行dfs, 如果在某个区间我们无法寻求到解,那么整个dfs的过程就被判定为无解, 除去最…

Limited Permutation Problem Description As to a permutation p1,p2,⋯,pn from 1 to n, it is uncomplicated for each 1≤i≤n to calculate (li,ri) meeting the condition that min(pL,pL+1,⋯,pR)=pi if and only if li≤L≤i≤R≤ri for each 1≤L≤R≤n. Given the positiv…

Tree and Permutation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 0    Accepted Submission(s): 0 Problem Description There are N vertices connected by N−1 edges, each edge has its own length.…

BUPT2017 wintertraining(15) #8F 题意 1到n的排列,经过几次置换(也是一个排列)回到原来的排列,就是循环了. 现在给n(<=1000),求循环周期的所有可能数. 题解 问题等价于几个正整数加起来等于n,求最小公倍数的可能数. 因为1不影响最小公倍数,所以等价于求几个正整数加起来小于等于n,最小公倍数的可能数. 最小公倍数与每个质因子在正整数里最大出现次数有关,所以枚举质因子的幂,进行dp. dp[i][j]表示前i个质数,和为j时,最小公倍数的可能数. dp[0]…

题目链接 参考博客: http://blog.csdn.net/jinglinxiao/article/details/76165353 http://blog.csdn.net/qq_31759205/article/details/76146845 #include<bits/stdc++.h> using namespace std; typedef long long LL; //=====================================================…

Permutation Bo 题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5753 Description There are two sequences h1∼hn and c1∼cn. h1∼hn is a permutation of 1∼n. particularly, h0=hn+1=0. We define the expression [condition] is 1 when condition is True,is 0 whe…

HDU 5868 Different Circle Permutation(burnside 引理) 题目链接http://acm.hdu.edu.cn/showproblem.php?pid=5868 Description You may not know this but it's a fact that Xinghai Square is Asia's largest city square. It is located in Dalian and, of course, a landm…

题目链接:hdu 5225 Tom and permutation #include <cstdio> #include <cstring> #include <algorithm> using namespace std; typedef long long ll; const int maxn = 100; const int mod = 1e9+7; int N, ans, V[maxn + 5], A[maxn + 5]; ll S[maxn + 5], L[m…

Permutation Bo 题目连接: http://acm.hdu.edu.cn/showproblem.php?pid=5753 Description There are two sequences h1∼hn and c1∼cn. h1∼hn is a permutation of 1∼n. particularly, h0=hn+1=0. We define the expression [condition] is 1 when condition is True,is 0 whe…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=3811 Permutation Time Limit: 6000/3000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) 问题描述 In combinatorics a permutation of a set S with N elements is a listing of the elements of S in some…

2019 杭电多校 5 1005 题目链接:HDU 6628 比赛链接:2019 Multi-University Training Contest 5 Problem Description A sequence of length \(n\) is called a permutation if and only if it's composed of the first \(n\) positive integers and each number appears exactly once…

permutation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 141    Accepted Submission(s): 81 Problem Description Permutation plays a very important role in Combinatorics. For example ,1 2 3 4…

Permutation Problem Description There is an arrangement of N numbers and a permutation relation that alter one arrangement into another.For example, when N equals to 6 the arrangement is 123456 at first. The replacement relation is 312546 (indicate 1…

这里是一个比较简单的问题:考虑每个数对和的贡献.先考虑数列两端的值,两端的摆放的值总计有2种,比如左端:0,大,小:0,小,大:有1/2的贡献度.右端同理. 中间的书总计有6种可能.小,中,大.其中有两种对答案有贡献,即1/3的贡献度.加和计算可得到答案. Permutation Bo Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s):…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5753 题目大意: 两个序列h和c,h为1~n的乱序.h[0]=h[n+1]=0,[A]表示A为真则为1,假为0. 函数f(h)=(i=1~n)∑ci[hi>hi−1 && hi>hi+1] 现在给定c的值,求f(h)的期望. 题目思路: [数学] 头尾的概率为1/2,中间的概率为1/3,直接求和. // //by coolxxx // #include<iostream&g…

Problem Description Permutation plays a very important role in Combinatorics. For example ,1 2 3 4  5 and 1 3 5 4 2 are both 5-permutations. As everyone's known, the number of n-permutations is n!. According to their magnitude relatives ,if we insert…

题目链接 Problem Description As to a permutation p1,p2,⋯,pn from 1 to n, it is uncomplicated for each 1≤i≤n to calculate (li,ri) meeting the condition that min(pL,pL+1,⋯,pR)=pi if and only if li≤L≤i≤R≤ri for each 1≤L≤R≤n. Given the positive integers n, (…

Permutation Counting Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 1171    Accepted Submission(s): 587 Problem Description Given a permutation a1, a2, … aN of {1, 2, …, N}, we define its E-va…

Problem Description There are N vertices connected by N−1 edges, each edge has its own length.The set { 1,2,3,…,N } contains a total of N! unique permutations, let’s say the i-th permutation is Pi and Pi,j is its j-th number.For the i-th permutation,…

Permutation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)Total Submission(s): 0    Accepted Submission(s): 0Special Judge Problem Description A permutation p1,p2,...,pn of 1,2,...,n is called a lucky permutatio…

Permutation Counting Given a permutation a1, a2, … aN of {1, 2, …, N}, we define its E-value as the amount of elements where ai > i. For example, the E-value of permutation {1, 3, 2, 4} is 1, while the E-value of {4, 3, 2, 1} is 2. You are requested…

Discription Given a permutation a1, a2, … aN of {1, 2, …, N}, we define its E-value as the amount of elements where ai > i. For example, the E-value of permutation {1, 3, 2, 4} is 1, while the E-value of {4, 3, 2, 1} is 2. You are requested to find h…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4985 题目意思:有 n 个数,对于第 i 个数给出 σ(i) 的值.求出互不相交的循环的个数,并输出每个循环包含的数字. 还是不太懂吧?反正比赛的时候我也没看懂 >__< ! 据说,这条题目用到了置换群 + 循环 的知识,黑书上 P246 有相应介绍. 先来说明下这幅图的意思,搞明白题意就发现这条题是很好做的. 它表示:σ(1) = 2, σ(2) = 5, σ(3) = 4, σ(4) = 3,…

题目链接 Permutation 题目大意:给出n,和m个关系,每个关系为ai必须排在bi的前面,求符合要求的n的全排列的个数. 数据规模为n <= 40,m <= 20. 直接状压DP空间肯定是不够的. 考虑到m <= 20,说明每个连通块的大小不超过21. 那么我们分别对每个连通块求方案数,并且把不同的连通块的方案数组合起来即可. #include <bits/stdc++.h> using namespace std; #define rep(i, a, b) for…

传送门:http://acm.hdu.edu.cn/showproblem.php?pid=6446 本题是一个树上的问题——DFS. 一棵N个结点的树,其结点为1~N.树具有N-1条边,每一条边具有一个权值. 1~N具有N!个不同的排列,第i(1≤i≤N!)个排列记为P[i],第i个排列中的第j(1≤j≤N)个数记为P[i][j]. 对于第i个排列P[i],在树上沿最短路依次通过P[i][1]~P[i][N].记最短路的权值和为S[i],求解: $\sum_{i=1}^{N!} S_i \mo…

似乎是比较基础的一道用到polya定理的题,为了这道题扣了半天组合数学和数论. 等价的题意:可以当成是给正n边形的顶点染色,旋转同构,两种颜色,假设是红蓝,相邻顶点不能同时为蓝. 大概思路:在不考虑旋转同构的情况下,正n边形有fib(n+1)+fib(n-1)种染色方法(n==1特判),然后后面就是套公式了,涉及到要用欧拉定理优化,不然会T.(理论的东西看下组合数学书中polya计数部分,及数论书中欧拉函数部分中 n的约数的欧拉函数,感觉看博客不如系统的看看书,再结合一下网上一些比较基础的pol…

题意: 定义一个排列的差分为后一项减前一项之差构成的数列,求对于n个数的排列,差分的字典序第k小的那个,n<=20,k<=1e4. 题解: 暴力打表找一遍规律,会发现,对于n个数的排列,如果想找到差分的字典序第k小的,如果k<=(n-1)!,那么对应的那个排列就是把第一位赋值为n,后面的是1~n-1的元素本身排列字典序第k小的. 比如,4个元素的排列的差分字典序最小的前6个分别是 4,1,2,3 4,1,3,2 4,2,1,3 4,2,3,1 4,3,1,2 4,3,2,1 当n为10或…

// 昨天打了一场网络赛,表现特别不好,当然题目难度确实影响了发挥,但还是说明自己太菜了,以后还要多多刷题. 2018 CCPC 网络赛 I - Tree and Permutation 简单说明一下题意,给出一个1,2,3...N的排列,显然全部共有N!种排列,每种排列的数字代表树上的一个结点,设Pi是其中第i种排列的相邻数字表示的结点的距离之和,让我们求sum(Pi)(1<=i<=N!). 可以设dis(i, j)为树上任意两点间的最短距离,稍加分析一下容易得到所求答案为 (N-1)! *…