题目 注意一下空间限制. 令\(f(n)=\prod\limits_{i=1}^n\prod\limits_{j=1}^nij,g(n)=\prod\limits_{i=1}^n\prod\limits_{j=1}^n(i,j)\) 那么答案就是\(f(n)g(n)^{-2}\). 显然\(f(n)=(n!)^{2n}\). 而\(g(n)=\prod\limits_{d=1}^nd^{\sum\limits_{i=1}^{\lfloor\frac nd\rfloor}\sum\limits_{…

CYJian的新春虐题赛- 比赛详情 [题目链接] https://www.luogu.org/problemnew/show/P5221 求 \(\prod_{i=1}^{N}\prod_{j=1}^{N}\frac{lcm(i,j)}{gcd(i,j)}\) [题解] https://tbr-blog.blog.luogu.org/solution-p5221 对于分子: \[ \begin{aligned} &\ \ \ \ \ \ \prod_{i=1}^{N}\prod_{j=1}^{…

原题链接 庆祝!第二道数论紫题. 推式子真是太有趣了! \[\prod_{i=1}^n \prod_{j=1}^n \frac{\operatorname{lcm}(i,j)}{\gcd(i,j)} \] \[= \prod_{i=1}^n \prod_{j=1}^n \frac{i \times j}{(\gcd(i,j))^2} \] \[= ( \prod_{i=1}^n \prod_{j=1}^n i \times j ) \times ( \prod_{i=1}^n \prod_{j=…

P1890 gcd区间 \(\gcd\) 是满足结合律的,所以考虑用 ST 表解决 时间复杂度 \(O((n\log n+m)\log a_i)\) 考虑到 \(n\) 很小,你也可以直接算出所有的区间 \(\gcd\) 时间复杂度 \(O(n^2\log a_i+m)\) 实现的时候我写了 ST 表 加了 fread&fwrite IO优化,跑得还是非常快的 #include<stdio.h> #include<ctype.h> #define gc (l==r&…

Luogu P2889 [USACO07NOV]挤奶的时间Milking Time 题目描述 传送门Bessie is such a hard-working cow. In fact, she is so focused on maximizing her productivity that she decides to schedule her next N (1 ≤ N ≤ 1,000,000) hours (conveniently labeled 0..N-1) so that she…

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Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. Solve it without division and in O(n). For example, given [1,2,3,4], return [24,12,8,6]. Fo…

Find the contiguous subarray within an array (containing at least one number) which has the largest product. For example, given the array [2,3,-2,4],the contiguous subarray [2,3] has the largest product = 6. 这个求最大子数组乘积问题是由最大子数组之和问题演变而来,但是却比求最大子数组之和要复…

the inner product Givens two vectors \(x,y\in \mathbb{R}^n\), the quantity \(x^\top y\), sometimes called the inner product or dot product of the vectors, is a real number given by: \[x^\top y=\begin{bmatrix}x_1 , x_2 ,\cdots ,x_n \end{bmatrix}\begin…

Find the contiguous subarray within an array (containing at least one number) which has the largest product. For example, given the array [2,3,-2,4],the contiguous subarray [2,3] has the largest product = 6. Since two negative numbers may multiply an…

Find the contiguous subarray within an array (containing at least one number) which has the largest product. For example, given the array [2,3,-2,4],the contiguous subarray [2,3] has the largest product = 6. 子数组乘积最大 class Solution { public: int maxPr…

We all need to know our customers in order to create products they’ll actually buy. This is why the minimum viable audience idea is so powerful. It doesn’t start with the product. It starts with the customer. That means the media you create — the dai…

Given an integers array A. Define B[i] = A[0] * ... * A[i-1] * A[i+1] * ... * A[n-1], calculate B WITHOUT divide operation. Have you met this question in a real interview? Yes Example For A = [1, 2, 3], return [6, 3, 2]. LeetCode上的原题,请参见我之前的博客Product…

使用SSMS 2008客户端工具逆向生成了创建链接服务器的脚本时,在测试环境执行是报如下错误:'(null)' is an invalid product name. USE [master] GO IF EXISTS (SELECT srv.NAME            FROM   sys.servers srv            WHERE  srv.server_id != 0                   AND srv.NAME = N'MES_DB_LINK_TEST'…

Dynamic Programming public class Solution { public int[] productExceptSelf(int[] nums) { int[] ans = new int[nums.length]; for (int i = 0; i < ans.length; i++) ans[i] = 1; int product = 1; for (int i = 1; i < ans.length; i++) { product *= nums[i-1];…

Find the contiguous subarray within an array (containing at least one number) which has the largest product. For example, given the array [2,3,-2,4],the contiguous subarray [2,3] has the largest product = 6. 看到这道题,很明显的一套动态规划类型的题目,和最长升序子序列之类的十分类似,那么首先…

When I was studying Philosophy at Berkeley, a friend told me that she could tell who was going to be rich and who was not. Fascinating, I thought. But when I asked how, she refused to answer and only said that I would figure it out. So after 20 years…

虽然有点久远  还是放一下吧. 传送门:https://www.luogu.org/contest/show?tid=754 第一题  沉迷游戏,伤感情 #include <queue> #include <cstdio> #include <cstring> #include <iostream> #include <algorithm> using namespace std; ],last,now,sum[],s; deque<lon…

'm currently developing a SharePoint 2013 application. After a few deployments via Visual Studio, I was suddenly confronted with the error "Error occurred in deployment step 'Install App for SharePoint': The provided App differs from another App with…

Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. Solve it without division and in O(n). For example, given [1,2,3,4], return [24,12,8,6]. 题目…

Product of Array Except Self Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. Solve it without division and in O(n). For example, given [1,2…

Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. Solve it without division and in O(n). For example, given [1,2,3,4], return [24,12,8,6]. pu…

题目链接:http://www.luogu.org/problem/show?pid=1268#sub -------- 这道题费了我不少心思= =其实思路和标称毫无差别,但是由于不习惯ACM风格的题目,没有打答案之间的换行,wa了好几次 解决所有"构造"问题都要按照如下的步骤: 寻找特例.特征 建立模型 一般化模型 寻找特例 (1) 我们假设结点数为1,显然答案为0,因为这棵树的边集为空. (2) 当结点数为2时,答案就是d[1][2],即(1,2)的距离. (3) 当结点数为3时呢…

Problem Introduction The dot product of two sequences \(a_1,a_2,\cdots,a_n\) and \(b_1,b_2,\cdots,b_n\) of the same length is equal to \(\sum\limits_{i=1}^na_ib_i=a_1b_1+a_2b_2+\cdots+a_nb_n\) Problem Description Task.The goal is,given two sequences…

Problem Description Task.Given a sequence of non-negative integers \(a_0, ..., a_{n-1}\),find the maximum pairwise product,that is,the largest integer that can be obtained by multiplying two different elements from the sequence(or,more formally,\(\ma…

索引 意图 结构 参与者 适用性 效果 相关模式 实现 实现方式(一):Product Trader 的示例实现. 意图 使客户程序可以通过命名抽象超类和给定规约来创建对象. Product Trader 让客户程序与 Product 类解耦,从而使得类的层级结构.框架和应用程序易于改写.配置和演进. Let clients create objects by naming an abstract superclass and by providing a specification. A Pr…

Given an array of n integers where n > 1, nums, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. Solve it without division and in O(n). For example, given [1,2,3,4], return [24,12,8,6]. Fo…

题目链接:Maximum Product Subarray solutions同步在github 题目很简单,给一个数组,求一个连续的子数组,使得数组元素之积最大.这是求连续最大子序列和的加强版,我们可以先看看求连续最大子序列和的题目maximum-subarray,这题不难,我们举个例子. 假设数组[1, 2, -4, 5, -1, 10],前两个相加后得到3,更新最大值(为3),然后再加上-4后,和变成-1了,这时我们发现如果-1去加上5,不如舍弃前面相加的sum,5单独重新开始继续往后相加…

题目链接: 传送门 Domino Effect time limit per test:1 second     memory limit per test:256 megabytes Description Little Chris is a huge fan of linear algebra. This time he has been given a homework about the unusual square of a square matrix. The dot product…

在真机测试的时候往往会突然出现这样一个错误,code signing is required for product type 'Application' in SDK 'iOS 7.0'  ,就是说代码签名证书不对劲. 解决方案, 1.选择工程->Build Settings -> Code Signing -> Code Signing Identity -> Debug -> Any ios SDK 将选项改为:iPhone Developer 2.重新下载你的证书,或…