POJ3292
来源:互联网 发布:同声翻译手机软件知乎 编辑:程序博客网 时间:2024/05/29 10:38
题目链接:http://poj.org/problem?id=3292
Description
This problem is based on an exercise of David Hilbert, who pedagogically suggested that one study the theory of 4n+1 numbers. Here, we do only a bit of that.
An H-number is a positive number which is one more than a multiple of four: 1, 5, 9, 13, 17, 21,... are the H-numbers. For this problem we pretend that these are the only numbers. The H-numbers are closed under multiplication.
As with regular integers, we partition the H-numbers into units, H-primes, and H-composites. 1 is the only unit. An H-number h is H-prime if it is not the unit, and is the product of two H-numbers in only one way: 1 × h. The rest of the numbers are H-composite.
For examples, the first few H-composites are: 5 × 5 = 25, 5 × 9 = 45, 5 × 13 = 65, 9 × 9 = 81, 5 × 17 = 85.
Your task is to count the number of H-semi-primes. An H-semi-prime is an H-number which is the product of exactly two H-primes. The two H-primes may be equal or different. In the example above, all five numbers are H-semi-primes. 125 = 5 × 5 × 5 is not an H-semi-prime, because it's the product of three H-primes.
Input
Each line of input contains an H-number ≤ 1,000,001. The last line of input contains 0 and this line should not be processed.
Output
For each inputted H-number h, print a line stating h and the number of H-semi-primes between 1 and h inclusive, separated by one space in the format shown in the sample.
Sample Input
21 857890
Sample Output
21 085 5789 62
题意是1 5 9 13...这种4的n次方+1定义为H-numbers
H-numbers中只由1*自己这一种方式组成 即没有其他因子的 叫做H-prime
两个H-prime的乘积叫做H-semi-prime 还有一个要求是H-semi-prime只能由两个H-prime组成
代码:
#include<cstdio>#include<iostream>#include<algorithm>#include<cstring>using namespace std;const int maxn=1000001+5;int sp[maxn],ip[maxn];int main(){ memset(ip,0,sizeof(ip)); for(int i=5;i<maxn;i+=4) { for(int j=5;i*j<maxn;j+=4) { if(ip[i]||ip[j]) ip[i*j]=-1; else ip[i*j]=1; } } int num=0; for(int i=1;i<maxn;i++) { if(ip[i]==1) num++; sp[i]=num; } int h; while(scanf("%d",&h)!=EOF&&h) { h=(h-1)/4*4+1; printf("%d %d\n",h,sp[h]); } return 0;}
- poj3292
- poj3292
- poj3292
- poj3292
- poj3292
- POJ3292
- POJ3292
- poj3292
- POJ3292 筛法
- 水两题 hdu1286 || poj3292
- poj3292(筛选法)
- poj3292 素数筛选
- POJ3292 Semi-prime H-numbers
- POJ3292--Semi-prime H-numbers
- poj3292 变形的素数问题
- poj3292 Semi-prime H-numbers
- poj3292 Semi-prime H-numbers
- POJ3292 Semi-prime H-numbers
- JDBC五大步骤
- String()类相关
- GridView在Fragment中的使用
- 《随笔》pyqt 获取 TreeWidget 选中项的内容
- SQL Server排名或排序的函数
- POJ3292
- PHP正则匹配替换图片地址
- 如何封装页面数据对象
- 阿里云ECS下 XAMPP security concept:错误解决方法
- Andriod开发中常遇到的问题
- TextView和EditView使用
- html5图片裁剪控件原型【含缩放,旋转,拖动功能】---3、实际演示效果
- 黑马66期最新Android视频教程开始更新【全套不加密】
- mac下配置phonegap(cordova) xcode_5.1.1开发环境