In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: Every even number greater than 4 can be written as the sum of two odd prime numbers. For example: 8 = 3 + 5. Both…

For any even number n greater than or equal to 4, there exists at least one pair of prime numbers p1 and p2 such that n = p1 + p2 This conjecture has not been proved nor refused yet. No one is sure whether this conjecture actually holds. However, one…

poj2262 Goldbach's Conjecture 用欧拉筛把素数筛出来,再枚举一下. #include<iostream> #include<cstdio> #include<cstring> #define re register using namespace std; #define N 1000001 int n,v[N],pri[N],cct; bool is[N]; int main(){ ;i<N;++i){ ; ;j<=cct;++…

Goldbach's Conjecture Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 48161   Accepted: 18300 Description In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conject…

Everybody knows any number can be combined by the prime number. Now, your task is telling me what position of the largest prime factor. The position of prime 2 is 1, prime 3 is 2, and prime 5 is 3, etc. Specially, LPF(1) = 0.  InputEach line will con…

The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105. InputInput will consist of multiple problem instances. The fi…

A Compiler Mystery: We are given a C-language style for loop of type for (variable = A; variable != B; variable += C) statement; I.e., a loop which starts by setting variable to value A and while variable is not equal to B, repeats statement followed…

Everybody in the Prime Land is using a prime base number system. In this system, each positive integer x is represented as follows: Let {pi}i=0,1,2,... denote the increasing sequence of all prime numbers. We know that x > 1 can be represented in only…

Given a sequence of consecutive integers n,n+1,n+2,...,m, an anti-prime sequence is a rearrangement of these integers so that each adjacent pair of integers sums to a composite (non-prime) number. For example, if n = 1 and m = 10, one such anti-prime…

A prime number is a counting number (1, 2, 3, ...) that is evenly divisible only by 1 and itself. In this problem you are to write a program that will cut some number of prime numbers from the list of prime numbers between (and including) 1 and N. Yo…

The sequence of n − 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, ‹24, 25, 26, 27, 28› between 23 and 2…

We say that x is a perfect square if, for some integer b, x = b 2. Similarly, x is a perfect cube if, for some integer b, x = b 3. More generally, x is a perfect pth power if, for some integer b, x = b p. Given an integer x you are to determine the l…

Ms. Iyo Kiffa-Australis has a balance and only two kinds of weights to measure a dose of medicine. For example, to measure 200mg of aspirin using 300mg weights and 700mg weights, she can put one 700mg weight on the side of the medicine and three 300m…

Two positive integers are said to be relatively prime to each other if the Great Common Divisor (GCD) is 1. For instance, 1, 3, 5, 7, 9...are all relatively prime to 2006. Now your job is easy: for the given integer m, find the K-th element which is…

Description 两只青蛙在网上相识了,它们聊得很开心,于是觉得很有必要见一面.它们很高兴地发现它们住在同一条纬度线上,于是它们约定各自朝西跳,直到碰面为止.可是它们出发之前忘记了一件很重要的事情,既没有问清楚对方的特征,也没有约定见面的具体位置.不过青蛙们都是很乐观的,它们觉得只要一直朝着某个方向跳下去,总能碰到对方的.但是除非这两只青蛙在同一时间跳到同一点上,不然是永远都不可能碰面的.为了帮助这两只乐观的青蛙,你被要求写一个程序来判断这两只青蛙是否能够碰面,会在什么时候碰面. 我们把这…

Description A game-board consists of N fields placed around a circle. Fields are successively numbered from1 to N clockwise. In some fields there may be obstacles. Player starts on a field marked with number 1. His goal is to reach a given field mark…

题目:http://poj.org/problem?id=2262 水水更健康~ 代码如下: #include<iostream> #include<cstdio> #include<cstring> using namespace std; int const maxn=1e6; ],cnt; ]; void init() { ;i<=maxn;i++) { if(!vis[i])pri[++cnt]=i; ;j<=cnt&&i*pri[j…

[LightOJ1259]Goldbach`s Conjecture(数论) 题面 Vjudge T组询问,每组询问是一个偶数n 验证哥德巴赫猜想 回答n=a+b 且a,b(a<=b)是质数的方案个数 题解 筛出质数后直接暴力判断就行了 质数密度没有那么大,记得节约空间 #include<iostream> #include<cstdio> #include<cstdlib> #include<cstring> #include<cmath>…

Goldbach`s Conjecture(LightOJ - 1259)[简单数论][筛法] 标签: 入门讲座题解 数论 题目描述 Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics. It states: Every even integer, greater than 2, can be expressed as the sum of…

Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics. It states: Every even integer, greater than 2, can be expressed as the sum of two primes [1]. Now your task is to check whether this conjecture h…

题目链接: https://cn.vjudge.net/problem/POJ-2262 题目描述: In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: Every even number greater than 4 can be written as the sum of t…

 Goldbach's Conjecture Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u Submit Status Description In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following…

day1: 考微观经济学去了…… day2: 一开始就看了看一道题目最短的B题,拍了半小时交了上去wa了 感觉自己一定是自己想错了,于是去拍大家都过的A题,十分钟拍完交上去就A了 然后B题写了一发暴力对跑,感觉跑出来的数据都是对的,然后看看了题目,看是不是自己读题读错了 WTF!输出居然是Case %d,而我写的是Case #%d = =!,改了改输出格式,交上去就AC了,浪费了我好久时间 然后就去做J题了,J题傻逼题,结果卡全场,赛后一看,long long 改成 unsigned long…

1.Link: http://poj.org/problem?id=2262 http://bailian.openjudge.cn/practice/2262 2.Content: Goldbach's Conjecture Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 37791   Accepted: 14536 Description In 1742, Christian Goldbach, a German a…

http://poj.org/problem?id=2262 Goldbach's Conjecture Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 34323   Accepted: 13169 Description In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in whic…

Problem Description Goldbach's Conjecture: For any even number n greater than or equal to 4, there exists at least one pair of prime numbers p1 and p2 such that n = p1 + p2. This conjecture has not been proved nor refused yet. No one is sure whether…

Goldbach's Conjecture Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 5277    Accepted Submission(s): 2022点我 Problem Description Goldbach's Conjecture: For any even number n greater than or equa…

题目大意:给一个偶数,判断是否是两个素数的和. 先用sieve方法生成一个素数表,然后再进行判断即可. #include <cstdio> #include <vector> #include <bitset> using namespace std; typedef vector<int> vi; typedef long long ll; #define MAXN 1000000 vi primes; bitset<MAXN+> bs; vo…

题目链接:http://ac.jobdu.com/problem.php?pid=1440 详解链接:https://github.com/zpfbuaa/JobduInCPlusPlus 参考代码: // // 1440 Goldbach's Conjecture.cpp // Jobdu // // Created by PengFei_Zheng on 12/04/2017. // Copyright © 2017 PengFei_Zheng. All rights reserved. /…

Goldbach`s Conjecture Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics. It states: Every even integer, greater than 2, can be expressed as the sum of two primes [1]. Now your task is to check whe…