http://acm.hdu.edu.cn/showproblem.php?pid=4465

第一直觉概率DP但很快被否定，发现只有一个简单的二项分布，但感情的表达，没有对生命和死亡的例子。然后找到准确的问题，将不被处理，

事实上与思考C递归成为O(1)。每次乘以p

代码看这里http://fszxwfy.blog.163.com/blog/static/44019308201338114456115/

贴一个我没看懂的代码

//#pragma comment(linker, "/STACK:102400000,102400000")
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <map>
#include <set>
#include <queue>
using namespace std;

#define ls(rt) rt*2
#define rs(rt) rt*2+1
#define ll long long
#define ull unsigned long long
#define rep(i,s,e) for(int i=s;i<e;i++)
#define repe(i,s,e) for(int i=s;i<=e;i++)
#define CL(a,b) memset(a,b,sizeof(a))
#define IN(s) freopen(s,"r",stdin)
#define OUT(s) freopen(s,"w",stdout)
const ll ll_INF = ((ull)(-1))>>1;
const double EPS = 1e-8;
const double pi = acos(-1.0);
const int INF = 100000000;
double p1,p0;
int n;

double solve()
{
    p1=1.0-p0;
    double tmpa,tmpb;
    tmpa=tmpb=1.0;
    double ans=0.0;
    int last=n+1;
    for(int i=0;i<n;i++)
    {
        if(i)
        {
            tmpa=tmpa*(n+i)*p0/i;
            tmpb=tmpb*(n+i)*p1/i;
            while(tmpa>n || tmpb>n)
            {
                tmpa*=p1;
                tmpb*=p0;
                last--;
            }
        }
        ans+=(n-i)*tmpa*pow(p1,last)+tmpb*(n-i)*pow(p0,last);
    }
    return ans;
}

int main()
{
    //IN("hdu4465.txt");
    int ic=0;
    while(~scanf("%d%lf",&n,&p0))
    {
        printf("Case %d: %.6lf\n",++ic,solve());
    }
    return 0;
}