[Hello 2020] C. New Year and Permutation (组合数学) C. New Year and Permutation time limit per test 1 second memory limit per test 1024 megabytes input standard input output standard output Recall that the permutation is an array consisting of nn distinc…

给定两个常为 \(n\) 的序列 \(l_i,r_i\),问夹在它们之间 ( \(\forall i, l_i \leq a_i \leq r_i\) ) 的不降序列的元素总和. Solution 先搞一波离散化,把 设 \(f[i][j]\) 表示处理完了 \(a[1\dots i]\),且 \(a[i]\) 在第 \(j\) 个区间内的总和, \(g[i][j]\) 为方案数 考虑运用分段的思想,枚举下一段的结束点 \(p\),以及下一段所在区间 \(k\),就可以暴力转移到 \(f[p][…

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…

链接:https://codeforces.com/problemset/problem/1284/C 题意:定义一个framed segment,在区间[l,r]中,max值-min值 = r - l.求有1-n 组成的序列中,所有framed segment的个数%m 思路:组合数学推一个结论.例如假设1到n组成的序列中,求长度为k的framed segment,那么其一段序列的最大值 - 最小值 = k,例如n = 5,k = 3,这些framed segment 必定是 1 2 3 或者…

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; //=====================================================…

定义一张无向图 G=⟨V,E⟩ 是 k 可染色的当且仅当存在函数 f:V↦{1,2,⋯,k} 满足对于 G 中的任何一条边 (u,v),都有 f(u)≠f(v). 定义函数 g(n,k) 的值为所有包含 n 个点的无自环.无重边的 k 可染色无向图中的边数最大值.举例来说,g(3,1)=0,g(3,2)=2,g(3,3)=3. 现在给出三个整数 n,l,r,你需要求解:(\sum_{i=l}^rg(n,i))mod998244354 Solution 把 \(n\) 个点分成 \(m\) 份,尽…

题意: 给你 n 长全排列的一种情况,将其分为 k 份,取每份中的最大值相加,输出和的最大值和有多少种分法等于最大值. 思路: 取前 k 大值,储存下标,每两个 k 大值间有 vi+1 - vi 种分法,相乘即可. #include <bits/stdc++.h> using namespace std; typedef long long ll; const ll mod=998244353; int main() { int n,k;cin>>n>>k; int p…

On his free time, Chouti likes doing some housework. He has got one new task, paint some bricks in the yard. There are nn bricks lined in a row on the ground. Chouti has got mm paint buckets of different colors at hand, so he painted each brick in on…

组合计数 组合数学主要是研究一组离散对象满足一定条件的安排的存在性.构造及计数问题.计数理论是狭义组合数学中最基本的一个研究方向,主要研究的是满足一定条件的排列组合及计数问题.组合计数包含计数原理.计数方法.计数公式. 组合计数基本原理 加法原理 \[ 如果一个目标的实现可以在n种不同的情况下完成,且对于第i种情况又有m_i种不同的方法,\\ 那么总的方法数N为:N=m_1+m_2+...+m_n=\sum_{i=1}^n m_i \] 其中,每种条件达成都能单独实现目标,而不依赖其他条件:任意…

Acingel is a small town. There was only one doctor here — Miss Ada. She was very friendly and nobody has ever said something bad about her, so who could've expected that Ada will be found dead in her house? Mr Gawry, world-famous detective, is appoin…

题面 传送门:http://codeforces.com/problemset/problem/840/C C. On the Bench time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard output A year ago on the bench in public park Leha found an array of n numbers. L…

2020 年百度之星·程序设计大赛 - 初赛三解题思路及代码(Discount.Game.Permutation) 1.Discount Problem Description学皇来到了一个餐馆吃饭.他觉得这家餐馆很好吃,于是就想办个会员.一共有 nn 种会员充值卡套餐,假设学皇这餐饭的消费为 a 元,选择第 ii 种套餐,需要充值 b[i] * a 的钱,这次吃饭可以打 c[i]×10 折,由充值的钱支付(即这次吃饭只需要从充值金额中扣除 a×c[i] 元).以后用剩余的充值的钱吃饭不再打折.…

2020 ICPC Universidad Nacional de Colombia Programming Contest A. Approach 三分 显然答案可以三分,注意\(eps\)还有两条线平行的情况 view code #include<bits/stdc++.h> using namespace std; #pragma GCC optimize("O2") double dis2(double ox, double oy, double ex, doubl…

The set [1,2,3,-,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…

Given a string s, return all the palindromic permutations (without duplicates) of it. Return an empty list if no palindromic permutation could be form. For example: Given s = "aabb", return ["abba", "baab"]. Given s = "a…

Given a string, determine if a permutation of the string could form a palindrome. For example,"code" -> False, "aab" -> True, "carerac" -> True. Hint: Consider the palindromes of odd vs even length. What difference d…

The set [1,2,3,…,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…

Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…

The set [1,2,3,-,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…

UVA - 11525 Permutation 题意:输出1~n的所有排列,字典序大小第∑k1Si∗(K−i)!个 学了好多知识 1.康托展开 X=a[n]*(n-1)!+a[n-1]*(n-2)!+...+a[i]*(i-1)!+...+a[1]*0! 其中a[i]为第i位是i往右中的数里 第几大的-1(比他小的有几个). 其实直接想也可以,有点类似数位DP的思想,a[n]*(n-1)!也就是a[n]个n-1的全排列,都比他小 一些例子 http://www.cnblogs.com/hxsyl…

For research purpose, I've read a lot materials on permutation test issue. Here is a summary. Should be useful. Still, thanks for contributors online. P value calculation Because the actual value is one of those permutations, I would like to change t…

(M) Permutations (M) Permutations II (M) Permutation Sequence (M) Palindrome Permutation II…

Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…

Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…

题目链接:https://leetcode.com/submissions/detail/55876321/ 自己的做法,30个测试用例通过了29例,终究还是有一个系列类型的是无法通过的,因为自己妄想在permutation的代码上,通过排序来进行.然而,每一次同第一个元素交换位置之后,进入了递归,此时数组nums并不是有序的!!! 来看看自己的这段代码,谨记教训,然后还是去看看大神们的思路吧! class Solution { public: vector<vector<int>>…

B. New Year Permutation time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output User ainta has a permutation p1, p2, ..., pn. As the New Year is coming, he wants to make his permutation as pretty…

来源:Public Library of Bioinformatics 显著性检验通常可以告诉我们一个观测值是否是有效的,例如检测两组样本均值差异的假设检验可以告诉我们这两组样本的均值是否相等(或者那个均值更大).我们在实验中经常会因为各种问题(时间.经费.人力.物力)得到一些小样本结果,如果我们想知道这些小样本结果的总体是什么样子的,就需要用到置换检验. Permutation test 置换检验是Fisher于20世纪30年代提出的一种基于大量计算(computationally inten…

4271: Love Me, Love My Permutation Description Given a permutation of n: a[0], a[1] ... a[n-1], ( its elements range from 0 to n-1, For example: n=4, one of the permutation is 2310) we define the swap operation as: choose two number i, j ( 0 <= i <…

Next Permutation Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending orde…

The set [1,2,3,…,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…