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Robberies

The aspiring Roy the Robber has seen a lot of American movies, and knows that the bad guys usually gets caught in the end, often because they become too greedy. He has decided to work in the lucrative business of bank robbery only for a short while, before retiring to a comfortable job at a university.


For a few months now, Roy has been assessing the security of various banks and the amount of cash they hold. He wants to make a calculated risk, and grab as much money as possible.


His mother, Ola, has decided upon a tolerable probability of getting caught. She feels that he is safe enough if the banks he robs together give a probability less than this.

3
0.04 3
1 0.02
2 0.03
3 0.05
0.06 3
2 0.03
2 0.03
3 0.05
0.10 3
1 0.03
2 0.02
3 0.05

2
4
6

题意：给你一个被抓到的概率P和各个银行的信息，银行信息为拥有的钱V和来偷钱被抓的概率，要求的是不被抓到情况下能偷到的钱最多是多少

解析：直接求被抓概率很麻烦，所以换成求不被抓的，那就是每次偷钱都不被抓的概率，这样就方便多了，然后用01背包的做法就可以KO之！

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
int main (void)
{
    int t,n,m,i,j,k,l;
    double P,p[111],dp[11111];
    int v[111];
    scanf("%d",&t);
    while(t--&&scanf("%lf%d",&P,&n)!=EOF)
    {
        P=1-P;	//换算成不被抓的概率
        m=0;
        for(i=0;i<n;i++)
        {
            scanf("%d%lf",&v[i],&p[i]);
            p[i]=1-p[i];
            m+=v[i];	//求出所有银行的总钱数，因为背包以钱为下标
        }
        memset(dp,0,sizeof(dp));
        dp[0]=1;	//偷到钱=0的时候安全概率是1，即还没偷的时候
        for(i=0;i<n;i++)
        {
            for(j=m;j>=v[i];j--)
            {
                if(dp[j]<dp[j-v[i]]*p[i])
                dp[j]=dp[j-v[i]]*p[i];
            }
        }
        while(m>=0)	//遍历所有金钱量，这里要记得把0算进来，可能没有偷到任何银行的情况
        {
            if(dp[m]>=P)	//P已经换算成了安全概率，所以只要不被抓的概率大于或者等于它就安全
            {
                printf("%d\n",m);
                break;
            }
            m--;
        }
    }
    return 0;
}

HDU--2955--Robberies--01背包

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原文地址：http://blog.csdn.net/jingdianitnan/article/details/41514603