hdu5901题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5901 code vs 3223题目链接:http://codevs.cn/problem/3223/ 思路:主要是用了一个Meisell-Lehmer算法模板,复杂度O(n^(2/3)).讲道理,我不是很懂(瞎说什么大实话....),下面输出请自己改 #include<bits/stdc++.h> using namespace std; typedef long long LL;…

题目链接 题意:求[1,n]有多少个素数,1<=n<=10^11.时限为6000ms. 官方题解:一个模板题, 具体方法参考wiki或者Four Divisors. 题解:给出两种代码. 第一种方法Meisell-Lehmer算法只需265ms. 第二种方法不能运行但是能AC,只需35行. 第一种: //Meisell-Lehmer #include<cstdio> #include<cmath> using namespace std; #define LL long…

链接:传送门 题意:计算 [ 1 , n ] 之间素数的个数,(1 <= n <= 1e11) 思路:Meisell-Lehmer算法是计算超大范围内素数个数的一种算法,原理并不明白,由于英语太渣看不懂WIKI上的原理,附WIKI链接:Here /************************************************************************* > File Name: hdu5901.cpp > Author: WArobot &g…

转自:http://blog.csdn.net/chaiwenjun000/article/details/52589457 计从1到n的素数个数 两个模板 时间复杂度O(n^(3/4)) #include <bits/stdc++.h> #define ll long long using namespace std; ll f[],g[],n; void init(){ ll i,j,m; ;m*m<=n;++m)f[m]=n/m-; ;i<=m;++i)g[i]=i-; ;i…

#include<cstdio> #include<cmath> using namespace std; #define LL long long ; bool np[N]; int prime[N], pi[N]; int getprime() { ; np[] = np[] = true; pi[] = pi[] = ; ; i < N; ++i) { if(!np[i]) prime[++cnt] = i; pi[i] = cnt; ; j <= cnt &am…

题意:计算1~N间素数的个数(N<=1e11) 题解:题目要求很简单,作为论文题,模板有两种 \(O(n^\frac{3}{4} )\),另一种lehmer\(O(n^\frac{2}{3})\) link:https://zh.wikipedia.org/wiki/%E7%B4%A0%E6%95%B0%E8%AE%A1%E6%95%B0%E5%87%BD%E6%95%B0 /** @Date : 2016-11-18-13.59 * @Author : Lweleth (SoungEarlf@…

参考链接:https://blog.csdn.net/Dylan_Frank/article/details/54428481 #include <bits/stdc++.h> #define ll long long using namespace std; ll f[340000],g[340000],n; void init(){ ll i,j,m; for(m=1;m*m<=n;++m)f[m]=n/m-1; for(i=1;i<=m;++i)g[i]=i-1; for(i…

Count primes 题目连接: http://acm.split.hdu.edu.cn/showproblem.php?pid=5901 Description Easy question! Calculate how many primes between [1...n]! Input Each line contain one integer n(1 <= n <= 1e11).Process to end of file. Output For each case, output…

原题地址:http://acm.hdu.edu.cn/showproblem.php?pid=5901 题意:输入n,输出n以内质数个数 模板题,模板我看不懂,只是存代码用. 官方题解链接:https://async.icpc-camp.org/d/560-2016 /************************************************************ 这个模板我一点都不会,代码是从codeforces上抄的,佚名 pi(i)表示i以内质数的个数 ******…

题意:给求 1 - n 区间内的素数个数,n <= 1e11. 析:模板题. 代码如下: #pragma comment(linker, "/STACK:1024000000,1024000000") #include <cstdio> #include <string> #include <cstdlib> #include <cmath> #include <iostream> #include <cstrin…

Count primes Time Limit: 12000/6000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2625    Accepted Submission(s): 1337 Problem Description Easy question! Calculate how many primes between [1...n]!   Input Each line…

题意: 计数区间$[1, n](1 \leq n \leq 10^{11})$素数个数. 分析: 这里只介绍一种动态规划的做法. 首先要说一下[分层思想]在动态规划中非常重要,下面的做法也正是基于这一思想. 我们用$dp[i]$表示区间$[1, \frac{n}{i}]$中素数的个数,用$c[i]$表示区间$[1, i]$中素数个数. 那么我们要求的即是$dp[1]$.由于$n$最大是$10^{11}$,因此任何区间内合数的最小素因子不超过$\sqrt{10^{11}}$.为了筛选素数,只需从区…

题目描述 Description 给定区间[L, R](L <= R <= 2147483647,R-L <= 1000000),请计算区间中素数的个数. 输入描述 Input Description 两个数L和R 输出描述 Output Description 一行,区间中素数的个数 样例输入 Sample Input 2 11 样例输出 Sample Output 5 数据范围及提示 Data Size & Hint 详见试题 #include<cstdio> #…

题意 给定一个整数 $P$($10^9 \leq p\leq 1^{14}$),设其前一个质数为 $Q$,求 $Q!  \ \% P$. 分析 暴力...说不定好的板子能过. 根据威尔逊定理,如果 $p$ 为质数,则有 $(p-1)! \equiv p-1(mod \ p)$. $\displaystyle Q! = \frac{(P-1)!}{(Q+1)(Q+2)...(p-1)} \equiv  (p-1)*inv\ (mod \ P)$. 根据素数定理,$\displaystyle \pi…

传送门: http://acm.hdu.edu.cn/showproblem.php?pid=1016 Prime Ring Problem Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 63806    Accepted Submission(s): 27457 Problem Description A ring is compos…

题目链接 题意 : 就是把n个数安排在环上,要求每两个相邻的数之和一定是素数,第一个数一定是1.输出所有可能的排列. 思路 : 先打个素数表.然后循环去搜..... #include <cstdio> #include <cstring> #include <iostream> using namespace std ; ]; ] ,cs[]; int n ; void get_prime() { memset(prime,,sizeof(prime)); prime[…

Problem Description 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. Inpu…

题目梗概:求1000000以内任意数的最大质因数是第几个素数,其中 定义 1为第0个,2为第1个,以此类推. #include<string.h> #include<stdio.h> #include<math.h> ],b[],c[];//b[i]表示i是第几个素数,c[k]表示k的最大素数是c[k],a[i]表示是不是素数 int main() { int n,i,num,j; memset(a,,sizeof(a)); a[]=; b[]=; num=; ;i&l…

题意:给你一个数,让你求它的最大因子在素数表的位置. 析:看起来挺简单的题,可是我却WA了一晚上,后来终于明白了,这个第一层循环不是到平方根, 这个题和判断素数不一样,只要明白了这一点,就很简单了. 代码如下: #include <iostream> #include <cstdio> #include <algorithm> #include <queue> #include <vector> #include <cstring>…

题意:给定一个数,判断是不是素数. 析:由于数太多,并且太大了,所以以前的方法都不适合,要用米勒拉宾算法. 代码如下: #include <iostream> #include <cstdio> #include <algorithm> #include <queue> #include <vector> #include <cstring> #include <map> #include <cctype> u…

Prime Ring Problem Time Limit : 4000/2000ms (Java/Other)   Memory Limit : 65536/32768K (Java/Other) Total Submission(s) : 18   Accepted Submission(s) : 7 Problem Description A ring is compose of n circles as shown in diagram. Put natural number 1, 2,…

It is well known that AekdyCoin is good at string problems as well as number theory problems. When given a string s, we can write down all the non-empty prefixes of this string. For example:  s: "abab"  The prefixes are: "a", "ab&…

Twin Prime Conjecture Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Problem Description If we define dn as: dn = pn+1-pn, where pi is the i-th prime. It is easy to see that d1 = 1 and dn=even for n>1. Twin Prime…

Prime Ring Problem Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 25156    Accepted Submission(s): 11234 Problem Description A ring is compose of n circles as shown in diagram. Put natural num…

题目传送门:http://acm.hdu.edu.cn/showproblem.php?pid=6470 Count Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 301    Accepted Submission(s): 127 Problem Description Farmer John有n头奶牛.某天奶牛想要数一数有多少头奶牛…

Count a * b Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 262144/262144 K (Java/Others)Total Submission(s): 211    Accepted Submission(s): 116 Problem Description Marry likes to count the number of ways to choose two non-negative integers a…

Count the string Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 8845    Accepted Submission(s): 4104 Problem Description It is well known that AekdyCoin is good at string problems as well as n…

Large non-Mersenne prime The first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form 26972593−1; it contains exactly 2,098,960 digits. Subsequently other Mersenne primes, of the form 2p−1, have…

Description: Count the number of prime numbers less than a non-negative number, n Hint: The number n could be in the order of 100,000 to 5,000,000. #define NO 0 #define YES 1 class Solution { public: int countPrimes(int n) { if(n == 1) return 0; int…

题目链接:http://acm.hdu.edu.cn/showproblem.php? pid=5056 题目大意:就是问在子串中每一个小写字母出现次数不超过k次的个数,注意子串是连续的子串.. . . 思路: code: <span style="font-size:18px;">#include<cstdio> #include<iostream> #include<cmath> #include<cstring> #in…