POJ 2739Sum of Consecutive Prime Numbers(尺取)
来源:互联网 发布:庞氏骗局知乎 编辑:程序博客网 时间:2024/06/06 19:53
Sum of Consecutive Prime Numbers
Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 26281 Accepted: 14252
Description
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.
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
2317412066612530
Sample Output
11230012
题意: 一个数可以用素数表示的话 ,可以有不同的素数表示形式,给你一个数x 你的任务是找出来 有多少种 素数的表示
形式。
思路: 打表将可能的素数打出来,然后就是一个尺取的模板题。
代码:
#include<stdio.h>#include<string.h>#include<iostream>#include<algorithm>#define N 10005/////// 2739using namespace std;int prime[N];int a[N],sum[N];int n;void init(){int i,j;memset(prime,1,sizeof(prime));prime[0]=prime[1]=0;for(i=2;i<=10002;i++){if(!prime[i]) continue;for(j=2*i;j<=10002;j+=i){prime[j]=0;}}n=0;for(i=1;i<=10002;i++) if(prime[i]) a[++n]=i;for(i=1;i<=n;i++) sum[i]=sum[i-1]+a[i];//for(i=1;i<=n;i++) printf("%d ",sum[i]);return ;}void solve(int x){int left,right;int sum=0;int cnt=0;left=right=1;while(left<=n){while(right<=n&&sum<x){sum+=a[right++];if(sum==x) cnt++;}sum-=a[left++];if(sum==x) cnt++;}printf("%d\n",cnt);return ;}int main(){init();int x;while(~scanf("%d",&x)){if(x==0) break;solve(x);}return 0;}
阅读全文
0 0
- POJ 2739 Sum of Consecutive Prime Numbers(尺取)
- POJ 2739 Sum of Consecutive Prime Numbers(尺取)
- POJ 2739Sum of Consecutive Prime Numbers(尺取)
- poj 2739 Sum of Consecutive Prime Numbers(尺取+筛素数)
- poj 2739 Sum of Consecutive Prime Numbers(尺取,暴力)
- POJ - 2739 Sum of Consecutive Prime Numbers(尺取法)
- poj 2739 Sum of Consecutive Prime Numbers(尺取法)
- POJ 2739 Sum of Consecutive Prime Numbers(尺取法)
- POJ 2739 Sum of Consecutive Prime Numbers
- poj 2739 Sum of Consecutive Prime Numbers
- POJ 2739 Sum of Consecutive Prime Numbers
- POJ 2739 Sum of Consecutive Prime Numbers
- poj 2739 Sum of Consecutive Prime Numbers
- POJ 2739 Sum of Consecutive Prime Numbers
- poj 2739 Sum of Consecutive Prime Numbers
- POJ 2739 Sum of Consecutive Prime Numbers
- POJ-2739-Sum of Consecutive Prime Numbers
- POJ 2739 Sum of Consecutive Prime Numbers
- Nginx配置文件详细说明
- 数据库对象——序列,存储过程
- 常用类,集合框
- vue 命名视图
- Mysql视图------视图基本概念理解和基本操作
- POJ 2739Sum of Consecutive Prime Numbers(尺取)
- Spark Streaming 读取Kafka数据写入Elasticsearch
- 自学《SLAM十四讲》——第二讲
- Course Schedule (graph)
- 用飞秋给朋友发送消息失败的原因分析及解决办法
- C#中@标识符的使用
- AI与游戏——吃豆人(4)方法综述
- itk中的图像分割算法(五)
- python------斐波拉契数列