HDU 1028(母函数)
2018-06-17 23:43:20来源:未知 阅读 ()
|
||||||||||
Ignatius and the Princess IIITime Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 19181 Accepted Submission(s): 13477 Problem Description
"Well, it seems the first problem is too easy. I will let you know how foolish you are later." feng5166 says.
"The second problem is, given an positive integer N, we define an equation like this: N=a[1]+a[2]+a[3]+...+a[m]; a[i]>0,1<=m<=N; My question is how many different equations you can find for a given N. For example, assume N is 4, we can find: 4 = 4; 4 = 3 + 1; 4 = 2 + 2; 4 = 2 + 1 + 1; 4 = 1 + 1 + 1 + 1; so the result is 5 when N is 4. Note that "4 = 3 + 1" and "4 = 1 + 3" is the same in this problem. Now, you do it!" Input
The input contains several test cases. Each test case contains a positive integer N(1<=N<=120) which is mentioned above. The input is terminated by the end of file.
Output
For each test case, you have to output a line contains an integer P which indicate the different equations you have found.
Sample Input
4
10
20
Sample Output
5
42
627
|
题意:给你一个正整数n,将该正整数拆分成若干整数的和,问你共有多少不同的拆分方法?
#include<bits/stdc++.h> using namespace std; int c1[205],c2[205];//c1用于记录各项前面的系数,c2用于记录中间值 int main() { int n; while(~scanf("%d",&n)) { //共有n个括号,先处理第一个括号,第一个括号里每一项的系数都是1; for(int i=0;i<=n;i++) { c1[i]=1; c2[i]=0; } //因为共有n个括号,i表示正在处理第i个括号 for(int i=2;i<=n;i++) { //j表示正在处理第i个括号里的第就项, for(int j=0;j<=(n);j++) { for(int k=0;k+j<=n;k+=i) { c2[j+k]+=c1[j]; } } for(int j=0;j<=(n);j++) { c1[j]=c2[j]; c2[j]=0; } } printf("%d\n",c1[n]); } return 0; }
标签:
版权申明:本站文章部分自网络,如有侵权,请联系:west999com@outlook.com
特别注意:本站所有转载文章言论不代表本站观点,本站所提供的摄影照片,插画,设计作品,如需使用,请与原作者联系,版权归原作者所有
- C++ 转换函数搭配友元函数 2020-06-10
- C++ rand函数 2020-06-10
- C++ 友元函数 2020-06-10
- C++ const成员函数 2020-06-03
- C++ 析构函数 2020-06-03
IDC资讯: 主机资讯 注册资讯 托管资讯 vps资讯 网站建设
网站运营: 建站经验 策划盈利 搜索优化 网站推广 免费资源
网络编程: Asp.Net编程 Asp编程 Php编程 Xml编程 Access Mssql Mysql 其它
服务器技术: Web服务器 Ftp服务器 Mail服务器 Dns服务器 安全防护
软件技巧: 其它软件 Word Excel Powerpoint Ghost Vista QQ空间 QQ FlashGet 迅雷
网页制作: FrontPages Dreamweaver Javascript css photoshop fireworks Flash