Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The integer 41 has three representations 2+3+5+7+11+13, 11+13+17, and 41. The integer 3 has only one representation, which is 3. The integer 20 has no such representations. Note that summands must be consecutive prime 
numbers, so neither 7 + 13 nor 3 + 5 + 5 + 7 is a valid representation for the integer 20. 
Your mission is to write a program that reports the number of representations for the given positive integer.

Input

The input is a sequence of positive integers each in a separate line. The integers are between 2 and 10 000, inclusive. The end of the input is indicated by a zero.

Output

The output should be composed of lines each corresponding to an input line except the last zero. An output line includes the number of representations for the input integer as the sum of one or more consecutive prime numbers. No other characters should be inserted in the output.

Sample Input

2
3
17
41
20
666
12
53
0

Sample Output

1
1
2
3
0
0
1
2
题意:给你一个数,要求找出它能用连续素数相加而成的个数
题解:一看就知道要先来一个素数筛啦。然后用另一个数组保存2到10000的尺取结果,输入后就能直接输出了,刚开始还担心会不会TLE@-@,结果居然只花了188ms
果然还是打表大法好啊
#include<map>
#include<set>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<iostream>
#include<algorithm>
#define pi acos(-1)
#define ll long long
#define mod 1000000007 using namespace std; const int N=+,maxn=+,inf=0x3f3f3f3f; int p[maxn],ans[maxn];
bool isprime[N]; void getprime()
{
int k=;
for(int i=;i<N;i++)isprime[i]=;
isprime[]=isprime[]=;
for(int i=;i<N;i++)
{
if(isprime[i])
{
p[k++]=i;
for(int j=*i;j<N;j+=i)
isprime[j]=;
}
}
}
int solve(int x)//对x进行尺取
{
int s=,t=,sum=,ans=;
while(t<){
while(sum<x&&t<){
sum+=p[t];
t++;
}
if(sum<x)break;
if(sum==x)ans++;
sum-=p[s];
s++;
}
return ans;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie();
getprime();
for(int i=;i<=;i++)ans[i]=solve(i);
int n;
while(cin>>n,n){
cout<<ans[n]<<endl;
}
return ;
}

poj2739尺取法+素数筛的更多相关文章

  1. poj2739(尺取法+质数筛)

    题意:给你一个数,问这个数能否等于一系列连续的质数的和: 解题思路:质数筛打出质数表:然后就是尺取法解决: 代码: #include<iostream> #include<algor ...

  2. POJ2739(尺取法)

    Sum of Consecutive Prime Numbers Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 23931 ...

  3. POJ2739 Sum of Consecutive Prime Numbers(尺取法)

    POJ2739 Sum of Consecutive Prime Numbers 题目大意:给出一个整数,如果有一段连续的素数之和等于该数,即满足要求,求出这种连续的素数的个数 水题:艾氏筛法打表+尺 ...

  4. 尺取法 || POJ 2739 Sum of Consecutive Prime Numbers

    给一个数 写成连续质数的和的形式,能写出多少种 *解法:先筛质数 然后尺取法 **尺取法:固定区间左.右端点为0,如果区间和比目标值大则右移左端点,比目标值小则右移右端点               ...

  5. POJ 尺取法

    poj3061 Subsequence 题目链接: http://poj.org/problem?id=3061 挑战P146.题意:给定长度为n的数列整数a0,a1,...,a(n-1)以及整数S, ...

  6. POJ 2739 Sum of Consecutive Prime Numbers(尺取法)

    题目链接: 传送门 Sum of Consecutive Prime Numbers Time Limit: 1000MS     Memory Limit: 65536K Description S ...

  7. POJ_2739_Sum_of_Consecutive_Prime_Numbers_(尺取法+素数表)

    描述 http://poj.org/problem?id=2739 多次询问,对于一个给定的n,求有多少组连续的素数,满足连续素数之和为n. Sum of Consecutive Prime Numb ...

  8. poj_2739 尺取法

    题目大意 给定一个数字N,N可能由1个或多个连续的素数求和得到,比如41 = 2+3+5+7+11+13, 41 = 11+13+17, 41 = 41.求出对于N,所有可能的组合形式. 题目分析 先 ...

  9. poj 2739 Sum of Consecutive Prime Numbers 尺取法

    Time Limit: 1000MS   Memory Limit: 65536K Description Some positive integers can be represented by a ...

随机推荐

  1. tomcat文件夹没有部署项目和Tomcat中webapps中没有运行项目-上传下载文件和图片

    1.eclipse不像MyEclipse默认将项目部署到tomcat安装目录下的webapps中,而默认部署到工作目录下的.metadata.plugins\org.eclipse.wst.serve ...

  2. 微信公众号java开发思路

    方法一:不开启开发模式,直接在自定义菜单中跳转到网页,适用于流量较小的公众号.   方法二:开启开发者模式,关闭自带的自定义菜单和消息回复,接入自己开发的应用           1.接入校验:创建s ...

  3. Zookeeper-3.4.9 集群搭建

    这里用了三台主机,系统为CentOS7 1.修改hosts #vim /etc/hosts 172.50.0.31 node1 172.50.0.34 node2 172.50.0.37 node3 ...

  4. python之函数学习

    #!/usr/bin/env python # # =============================================== # 位置参数说明 # 位置参数 通过参数传递的位置来 ...

  5. response.sendRedirect 报 java.lang.IllegalStateException 异常的解决思路

    今天在进行代码开发的时候,出现了 java.lang.IllegalStateException异常,response.sendRedirect("./DEFAULT.html") ...

  6. webpack快速掌握教程

    转载http://yijiebuyi.com/blog/46fb97b11fb8f4055e0b04d1cecb1f69.html #为什么用webpack 如果我们 前端 javascript 能像 ...

  7. 老李分享: Oracle Performance Tuning Overview 翻译

    老李分享: Oracle Performance Tuning Overview 翻译   poptest是国内唯一一家培养测试开发工程师的培训机构,以学员能胜任自动化测试,性能测试,测试工具开发等工 ...

  8. Java ---自定义标签(二)

    上篇文章的最后,我们自定义了一个带属性的标签,并使用它完成了一个简单的案例.其实到这我们已经可以看出来,前端jsp页面只需要写一个类似html语法的标签,就可以完成将集合中的数据取出来并展示这么相对复 ...

  9. css 实现旋转八卦图

    虽然这不算什么亮点,不过也可以供路上的小伙伴学习下 直接上干货: <!doctype html> <html lang="en"> <head> ...

  10. cssreset

    /** * http://cssreset.com */html, body, div, span, applet, object, iframe,h1, h2, h3, h4, h5, h6, p, ...