题意: 给一集合 $S = \{ 1,2, ... , n \} $,取两个S的子集 A和B,使得A不是B的子集,且B不是A的子集. 解法: 1.牛顿展开 我们采用容斥,显然有 $$ans(n) = (2^n - 1)^2 - 2* \sum_{k=1}^n{C_n^k * (2^k - 2)} - (2^n-1)$$ $$ans(n) = (2^n - 1)(2^n-2) - 2*(\sum_{k=1}^n{C_n^k *2^k} - 2*\sum_{k=1}^n{C_n^k})$$ $$an…

Remove Duplicates from Sorted Array 思路:两个指针,头指针在0,尾指针从1开始寻找,找到第一个不等于头指针值的数,覆盖掉头指针后面那个数,然后尾指针往后移. public int removeDuplicates(int[] nums) { if(nums.length <= 1) return nums.length; int i = 0; for(int j = 1; j < nums.length; j++){ if(nums[i] != nums[j…

题目: 给定整数序列a1,a2,...,an,判断是否可以从中选出若干数,使它们的和恰好为k.1≤n≤20   -108≤ai≤108   -108≤k≤108 输入: n=4 a={1,2,4,7} k=13 输出: Yes (13 = 2 + 4 + 7) 思路: 这里记录一下为什么会想到用子集去做这道题目,这道题目是关于从几个数中找出几个关于符合某种关系的数,呐,根据模式匹配法很容易想到这种方法,而关于这种方法也可以推广开来,也就是说只要在n个数据中找几个数据都可以用求子集的方式去做. 代…

文档首页 英文版文档 本作品采用知识共享署名-非商业性使用 3.0 未本地化版本许可协议进行许可. Node.js v0.10.18 手册 & 文档 索引 | 在单一页面中浏览 | JSON格式 目录 关于本文档 稳定度 JSON 输出 概述 全局对象 global process console 类: Buffer require() require.resolve() require.cache require.extensions __filename __dirname module e…

Given a collection of integers that might contain duplicates, S, return all possible subsets. Note: Elements in a subset must be in non-descending order. The solution set must not contain duplicate subsets. For example,If S = [1,2,2], a solution is:…

Given a collection of integers that might contain duplicates, nums, return all possible subsets. Note: The solution set must not contain duplicate subsets. For example, If nums = [1,2,2], a solution is: [ [2], [1], [1,2,2], [2,2], [1,2], [] ] 有重复值的序列…

Given a set of distinct integers, nums, return all possible subsets (the power set). Note: The solution set must not contain duplicate subsets. Example: Input: nums = [1,2,3] Output: [ [3],   [1],   [2],   [1,2,3],   [1,3],   [2,3],   [1,2],   [] ] 给…

Given a collection of integers that might contain duplicates, nums, return all possible subsets (the power set). Note: The solution set must not contain duplicate subsets. Example: Input: [1,2,2] Output: [ [2], [1], [1,2,2], [2,2], [1,2], [] ] 给定一个可能…

Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal. Example 1: Input: nums = [4, 3, 2, 3, 5, 2, 1], k = 4 Output: True Explanation: It's possible…

78. Subsets Given a set of distinct integers, nums, return all possible subsets. Note: The solution set must not contain duplicate subsets. For example, If nums = [,,], a solution is: [ [], [], [], [,,], [,], [,], [,], [] ] class Solution { public: v…

Subsets 题目 Given a set of distinct integers, nums, return all possible subsets. Note: The solution set must not contain duplicate subsets. For example, If nums = [1,2,3], a solution is: [ [3], [1], [2], [1,2,3], [1,3], [2,3], [1,2], []] 思路 一开始的想法首先就是…

Given a collection of integers that might contain duplicates, nums, return all possible subsets. Note: Elements in a subset must be in non-descending order. The solution set must not contain duplicate subsets. For example,If nums = [1,2,2], a solutio…

Subsets II Given a collection of integers that might contain duplicates, S, return all possible subsets. Note: Elements in a subset must be in non-descending order. The solution set must not contain duplicate subsets. For example,If S = [1,2,2], a so…

原题链接在这里:https://leetcode.com/problems/partition-to-k-equal-sum-subsets/description/ 题目: Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal. Examp…

Given a collection of integers that might contain duplicates, nums, return all possible subsets. Note: Elements in a subset must be in non-descending order. The solution set must not contain duplicate subsets. For example, If nums = [1,2,2], a soluti…

题目 Given a collection of integers that might contain duplicates, nums, return all possible subsets. Note: Elements in a subset must be in non-descending order. The solution set must not contain duplicate subsets. For example, If nums = [1,2,2], a sol…

Given a set of distinct integers, nums, return all possible subsets. Note: Elements in a subset must be in non-descending order. The solution set must not contain duplicate subsets. For example, If nums = [1,2,3], a solution is: [ [3], [1], [2], [1,2…

题目:http://community.topcoder.com/stat?c=problem_statement&pm=10554&rd=15855 符合条件的集中非1的元素个数是非常少的,能够用回溯加剪枝.实际执行速度非常快. 代码: #include <algorithm> #include <functional> #include <numeric> #include <utility> #include <iostream&…

Given a collection of integers that might contain duplicates, nums, return all possible subsets (the power set). Note: The solution set must not contain duplicate subsets. For example,If nums = [1,2,2], a solution is: [ [2], [1], [1,2,2], [2,2], [1,2…

这篇文章将会很短...短到比你的JJ还短,当然开玩笑了.网上有说过Length和count的区别,都是很含糊的,我没有发现有 文章说得比较透彻的,所以,虽然这篇文章很短,我还是希望能留在首页,听听大家对这个话题的看法,如果不信的话,你还真搜不到类似的文章,反正我是没搜索到. 也许有些观点是错的,或者不正确的,还请指出:我的观点是: Length:用于计算连续内存区域的一些“对象”的长度,而使用Count()计算非连续内存块的对象集合的“个数”: Length是这个集合对象的一个特有的属性,它 继…

在PHP编程中,在遍历数组的时候经常需要先计算数组的长度作为循环结束的判断条件,而在PHP里面对数组的操作是很频繁的,因此count也算是一个常用函数,下面研究一下count函数的具体实现. 我在github上有对PHP源码更详细的注解.感兴趣的可以围观一下,给个star.PHP5.4源码注解.可以通过commit记录查看已添加的注解. count int count ( mixed $array_or_countable [, int $mode = COUNT_NORMAL ] ) coun…

在使用 EF 的时候,EntityFramework.Extended 的作用:使IQueryable<T>转换为update table set ...,这样使我们在修改实体对象的时候,避免先查询再修改,而是直接 Update,大致写法: IQueryable<Entity> entities = _entityRepository.GetAll(); entities = entities.Where(x => x.Id == 1); await entities.Upd…

首先看下常见的攻击载荷,如下: select count(*),(floor(rand(0)*2))x from table group by x; 然后对于攻击载荷进行解释, floor(rand(0)*2) 查询表中内容大于等于3条会报错.一部分原因,因为floor(rand(0)*2)是有规律和固定的. 如果不理解,可以用数据库做下实验.select floor(rand(0)*2) from table ,数据量最好10条左右.你会发现一串0110110011--有规律的数字. 再然后s…

count(*) 查出来的是:结果集的总条数 count(字段名) 查出来的是: 结果集中'字段名'不为空的记录的总条数…

2588: Spoj 10628. Count on a tree Time Limit: 12 Sec  Memory Limit: 128 MBSubmit: 5217  Solved: 1233[Submit][Status][Discuss] Description 给定一棵N个节点的树,每个点有一个权值,对于M个询问(u,v,k),你需要回答u xor lastans和v这两个节点间第K小的点权.其中lastans是上一个询问的答案,初始为0,即第一个询问的u是明文. Input 第一…

Given a collection of integers that might contain duplicates, nums, return all possible subsets. Note: The solution set must not contain duplicate subsets. For example,If nums = [1,2,2], a solution is: [ [2], [1], [1,2,2], [2,2], [1,2], [] ] 分析: 因为有重…

Given a set of distinct integers, nums, return all possible subsets. Note: The solution set must not contain duplicate subsets. For example,If nums = [1,2,3], a solution is: [ [3], [1], [2], [1,2,3], [1,3], [2,3], [1,2], [] ] 分析:  用位操作非常简单,对于n个数来说共有2…

Given a non-negative integer n, count all numbers with unique digits, x, where 0 ≤ x < 10n. Example: Given n = 2, return 91. (The answer should be the total numbers in the range of 0 ≤ x < 100, excluding [11,22,33,44,55,66,77,88,99]) Hint: A direct…

Given an integer array nums, return the number of range sums that lie in [lower, upper] inclusive.Range sum S(i, j) is defined as the sum of the elements in nums between indices i and j (i ≤ j), inclusive. Note:A naive algorithm of O(n2) is trivial.…

You are given an integer array nums and you have to return a new counts array. The counts array has the property where counts[i] is the number of smaller elements to the right of nums[i]. Example: Given nums = [5, 2, 6, 1] To the right of 5 there are…