BZOJ 3944 Sum 解题报告

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BZOJ 3944 Sum 解题报告

我们考虑令: \[F_n = \sum_{d|n}\varphi(d)\] 那么,有: \[\sum_{i=1}^{n}F_i = \sum_{i=1}^{n}\sum_{d|i}\varphi(d) = \sum_{d=1}^{n}\varphi(d)\times \lfloor\frac{n}{d}\rfloor = \sum_{d=1}^{n}\sum_{i=1}^{\lfloor\frac{n}{d}\rfloor}\varphi(i)\] 为什么最后一步可以这么转化呢?我们考虑一个 \…

LeetCode 2 Add Two Sum 解题报告

LeetCode 2 Add Two Sum 解题报告 LeetCode第二题 Add Two Sum 首先我们看题目要求: You are given two linked lists representing two non-negative numbers. The digits are stored in reverse order and each of their nodes contain a single digit. Add the two numbers and return…

LeetCode 1 Two Sum 解题报告

LeetCode 1 Two Sum 解题报告偶然间听见leetcode这个平台,这里面题量也不是很多200多题,打算平时有空在研究生期间就刷完,跟跟多的练习算法的人进行交流思想,一定的ACM算法积累可以对以后在对算法中优化带来好处.Ok,今天是我做的第一题Add Two Sum. 题目要求 Given an array of integers, find two numbers such that they add up to a specific target number. The fu…

●杜教筛入门(BZOJ 3944 Sum)

入门杜教筛啦. http://blog.csdn.net/skywalkert/article/details/50500009(好文!) 可以在$O(N^{\frac{2}{3}})或O(N^{\frac{3}{4}})$的复杂度内解决求某些数论函数f(n)(或f的前缀和S(n)$)的值. 先来看看原理是什么.(接下来推导如何求数论函数f(n)的前缀和S(n)) 现在有两个数论函数$f( )和g( )$ (同时定义f的前缀和函数$S(n)=\sum_{i=1}^{n}f(i)$) 有狄利克雷乘…

LeetCode: Combination Sum 解题报告

Combination Sum Combination Sum Total Accepted: 25850 Total Submissions: 96391 My Submissions Question Solution Given a set of candidate numbers (C) and a target number (T), find all unique combinations in C where the candidate numbers sums to T. The…