nth Permutation LightOJ - 1060 题意:给定一个小写字母组成的字符串,对其中所有字母进行排列(排列组合的排列),将所有生成的排列按字典序排序,求排序后第n个排列. 方法:按位生成. 首先算出所有字母可以形成的排列总数,如果小于n那么为Impossible. 否则,从第一位开始,每一位都要从小到大在当前还有剩余的所有字母的范围内枚举这一位.枚举出一个就用“可重集的排列个数”的公式(总个数的阶乘/每个元素出现次数阶乘的乘积)算出这一位之后的位置用剩余字母可以形成的排列个数…

题目链接:http://www.lightoj.com/volume_showproblem.php?problem=1060 题解:如果是不重复数的这些操作可以用康托展开的逆来求,如果是有重复数字出现康托展开的逆就要稍微变一下.要除去自身个数的组合数具体看一代码,暴力就行 #include <iostream> #include <cstring> #include <cstdio> using namespace std; typedef long long ll;…

题目大意: 给你一个字符串,问这个字符串按照特定顺序排列之后,第n个字符串是哪个? 题目分析: 首先我们要会求解总个数.也就是共有len个字符,每个字符有ki个,那么总组合方式是多少种? 总组合方式就是: (len!)/(ki !), 把每个ki的阶乘都除一边,最后算出的结果就是答案了. 那么问题就剩下解决第n个字符串的的问题了. 下面我们先了解一下排序计数: 排序计数 如1,2,3,4的全排列,共有4!种,求第10个的排列是(从1计起)? 先试首位是1,后234有3!=6种<10,说明首位1偏…

一年多前遇到差不多的题目http://acm.fafu.edu.cn/problem.php?id=1427. 一开始我还用搜索..后来那时意外找到一个不重复全排列的计算公式:M!/(N1!*N2!*...*Nn!), 然后就靠自己YY出解法,搞了好几天,最后向学长要了数据,然后迷迷糊糊调了,终于AC了. 后来才知道当时想的解法类似于逆康托展开,只是逆康托展开是对于没有重复元素全排列而言,不过有没有重复元素都一个样. 而现在做这题很顺,因为思路很清晰了,另外这做法和数论DP的统计部分有相似之处.…

提高自己的实力, 也为了证明, 开始板刷lightoj,每天题量>=1: 题目的类型会在这边说明,具体见分页博客: SUM=54; 1000 Greetings from LightOJ [简单A+B] 1001 Opposite Task  [简单题] 1002 Country Roads[搜索题] 1003 Drunk[判环] 1004 Monkey Banana Problem [基础DP] 1006 Hex-a-bonacci[记忆化搜索] 1008 Fibsieve`s Fantabu…

http://www.lightoj.com/volume_showproblem.php?problem=1096 题意:\(f(n)  = a * f(n-1) + b * f(n-3) + c, if(n > 2) f(n)= 0, if(n ≤ 2) \) 思路:给出了递推式,构造下4X4矩阵就好. /** @Date : 2016-12-19-18.55 * @Author : Lweleth (SoungEarlf@gmail.com) * @Link : https://githu…

题目 这道题是很简单的矩阵快速幂,可惜,在队内比赛时我不知什么时候抽风把模版中二分时判断的 ==1改成了==0 ,明明觉得自己想得没错,却一直过不了案例,唉,苦逼的比赛状态真让人抓狂!!! #include<stdio.h> #include<string.h> #include<algorithm> using namespace std; int num,mod; struct matrix { ][]; }; matrix multiply(matrix x,ma…

Conquering Keokradong Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1048 Description This winter we are going on a trip to Bandorban. The main target is to climb up to the top of Keokradong.…

D - Harmonic Number Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1234 Description In mathematics, the nth harmonic number is the sum of the reciprocals of the first n natural numbers: In th…

Harmonic Number Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1234 Description In mathematics, the nth harmonic number is the sum of the reciprocals of the first n natural numbers: In this p…

原题链接http://acm.hust.edu.cn/vjudge/contest/121397#problem/A Description In mathematics, the nth harmonic number is the sum of the reciprocals of the first n natural numbers: In this problem, you are given n, you have to find Hn. Input Input starts wit…

题目 和 LightOj 1096 - nth Term 差不多的题目和解法,这道相对更简单些,万幸,这道比赛时没把模版给抽风坏. #include<stdio.h> #include<string.h> #include<algorithm> using namespace std; int num,mod; struct matrix { ][]; }origin,answ; matrix multiply(matrix x,matrix y)//矩阵乘法 { ma…

Description You are in a cave, a long cave! The cave can be represented by a 1 x N grid. Each cell of the cave can contain any amount of gold. Initially you are in position 1. Now each turn you throw a perfect 6 sided dice. If you get X in the dice a…

传送门:点我 Tree and Permutation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2191    Accepted Submission(s): 826 Problem Description There are N vertices connected by N−1 edges, each edge has its…

http://lightoj.com/volume_showproblem.php?problem=1234 Harmonic Number Time Limit:3000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Practice LightOJ 1234 Description In mathematics, the nth harmonic number is the sum of th…

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,…

Tree and Permutation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 619    Accepted Submission(s): 214 Problem Description There are N vertices connected by N−1 edges, each edge has its own len…

题目传送门 题目描述:给出一颗树,每条边都有权值,然后列出一个n的全排列,对于所有的全排列,比如1 2 3 4这样一个排列,要算出1到2的树上距离加2到3的树上距离加3到4的树上距离,这个和就是一个排列的val,计算所有全排列的val和就可以了. 思路:对于一个n的全排列,会发现 任意x-y的边在这个全排列中出现的次数是一样的,(x-y和y到x是不一样的边).也就是说我只需要计算出这个次数,然后再乘以所有边的总和(所有x-y和y-x的和)就可以了. 次数就是 ,(边的总数除以边的种类)化简一下就…

Harmonic Number In mathematics, the nth harmonic number is the sum of the reciprocals of the first n natural numbers: In this problem, you are given n, you have to find Hn. Input Input starts with an integer T (≤ 10000), denoting the number of test c…

传送门:http://www.lightoj.com/volume_showproblem.php?problem=1030 Discovering Gold Time Limit: 2 second(s) Memory Limit: 32 MB Program Description You are in a cave, a long cave! The cave can be represented by a 1 x N grid. Each cell of the cave can con…

Sending Secret Messages LightOJ - 1404 Alice wants to send Bob some confidential messages. But their internet connection is not secured enough. As their names have been used in many networking schemes, they are very rich now. So, they don't want to s…

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.…

考察下面的 HTML 代码片段: <div> <section>section 1</section> <section>section 2</section> <ul> <li>item 1</li> <li> <ul> <li>sub item 1</li> <li>sub item 2</li> <li>sub item…

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…

Find the nth digit of the infinite integer sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... Note: n is positive and will fit within the range of a 32-bit signed integer (n < 231). Example 1: Input: 3 Output: 3 Example 2: Input: 11 Output: 0 Explanatio…

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…

Write a SQL query to get the nth highest salary from the Employee table. +----+--------+ | Id | Salary | +----+--------+ | 1 | 100 | | 2 | 200 | | 3 | 300 | +----+--------+ For example, given the above Employee table, the nth highest salary where n =…

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…