【指数型母函数】hdu1521 排列组合

#include<cstdio>
#include<cstring>
using namespace std;
int n,m,jiecheng[11];
double a[12],b[12];
int main()
{
	//freopen("hdu1521.in","r",stdin);
	int x;
	jiecheng[0]=1;
	for(int i=1;i<=10;++i)
	  jiecheng[i]=jiecheng[i-1]*i;
	while(scanf("%d%d",&n,&m)!=EOF)
	  {
	  	memset(a,0,sizeof(a));
	  	memset(b,0,sizeof(b));
	  	a[0]=1.0;
	  	for(int i=1;i<=n;++i)
	  	  {
	  	  	scanf("%d",&x);
	  	  	for(int j=0;j<=m;++j)
	  	  	  for(int k=0;k+j<=m && k<=x;++k)
	  	  	    b[k+j]+=a[j]/(double)jiecheng[k];
	  		memcpy(a,b,sizeof(a));
	  		memset(b,0,sizeof(b));
	  	  }
	  	
	  	printf("%.0lf
",a[m]*(double)jiecheng[m]);
	  }
	return 0;
}

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排列组合

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 3885    Accepted Submission(s): 1634


Problem Description
有n种物品,并且知道每种物品的数量。要求从中选出m件物品的排列数。例如有两种物品A,B,并且数量都是1,从中选2件物品,则排列有"AB","BA"两种。
 

Input
每组输入数据有两行,第一行是二个数n,m(1<=m,n<=10),表示物品数,第二行有n个数,分别表示这n件物品的数量。
 

Output
对应每组数据输出排列数。(任何运算不会超出2^31的范围)
 

Sample Input
2 2 1 1
 

Sample Output
2
 

Author
xhd
 

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指数型母函数,题目很水,存个板子,日后也许可以用FFT再来一发。

原文地址:https://www.cnblogs.com/autsky-jadek/p/6338155.html