LightOJ 1079 Just another Robbery

抢银行,不能高于一个概率p,一共有n个银行。下面是存款+被抓概率;

dp[i][j]表示第i个银行之前,抢到j元的最大逃脱概率。

v[i]是概率,w[i]是钱数;

每次留下w[i]的空间,由之前的那个状态到这个状态(抢这个银行),又因为独立,所以就乘以概率就行;

dp[i][j]=max(dp[i-1][j],dp[i-1][j-w[i]]*(1-v[i]));

#include <iostream>
#include <functional>
#include <algorithm>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <fstream>
#include <iomanip>
#include <sstream>
#include <utility>
#include <bitset>
#include <cctype>
#include <cstdio>
#include <limits>
#include <memory>
#include <string>
#include <vector>
#include <cmath>
#include <ctime>
#include <queue>
#include <stack>
#include <list>
#include <map>
#include <set>
using namespace std;
double dp[10000];
double v[10000];
int w[10000];
int main()
{
    int T,ncas=1;
    scanf ("%d",&T);
    while (T--)
    {
        memset(dp,0,sizeof(dp));
        memset(v,0,sizeof(v));
        memset(w,0,sizeof(w));
        double temp;
        int V=0,n;
        scanf ("%lf%d",&temp,&n);
        for (int i=1; i<=n; i++)
        {
            scanf ("%d%lf",&w[i],&v[i]);
//            cout<<"temp="<<temp*100.0<<endl;
            V+=w[i];
//            cout<<"v[i]="<<v[i]<<endl;
        }
//        cout<<V<<endl;
        int ans=0;
        dp[0]=1;
        for (int i=1; i<=n; i++)
        {
            for (int j=V; j>=w[i]; j--)
            {
                dp[j]=max(dp[j],dp[j-w[i]]*(1-v[i]));
//                printf ("dp[%d]=%d,",j,dp[j]);
            }
//            printf ("\n");
//            for (int j=0;j<=V;j++)
//            {
//                printf ("%d ",dp[j]);
//            }
//                printf ("\n");
        }
        int i;
        for (i=V;i>=0;i--) if (dp[i]>1-temp) break;
        printf ("Case %d: %d\n",ncas++,i);
    }
    return 0;
}

posted on 2016-04-27 22:02  very_czy  阅读(106)  评论(0编辑  收藏  举报

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