ZOJ 3631 Watashi's BG DFS

J - Watashi's BG

Time Limit:3000MS Memory Limit:65536KB 64bit IO Format:%lld & %llu

Appoint description:

Description

Watashi is the couch of ZJU-ICPC Team and he is very kind hearted. In ZJU-ICPC summer training camp, students are divided into several groups and each day one of the groups will design some problems to hold a contest. Today students of Group C are required to design the problems, and they spent the whole night to check to test data which made them very tired. Watashi decides to give some money as a reward to group C so that they can buy the lunch for free.

There are N days in the training schedule, and all students have booked their lunch for N days so we know how much money they will spend in each day. Now the leader of group C needs to decide how to use Watashi's money. Since the money is limited, it may not be possible that they can have free lunch every day. So each day the leader can choose to pay for the whole group's lunch by themselves or use Watashi's money. Of course, the leader wants to spend Watashi's money as much as possible, but he is too busy to write a program to calculate the maximum money he can spend from Watashi's reward. Can you help him?

Input

The input contains multiple test cases ( no more than 50 test cases ).
In each test case, first there are two integer, N ( 1 <= N <=30 ) , which is the number of training days, M ( 0 <= M <=10000000 ) , which is the reward money from Watashi.
Then there is a line containing N positive integers with the i_th integer indicating the money group C need to pay for the lunch of the i_th day. All these integers are no more than 10000000 and integers are seperated by a space.

Output

For each test case, output one line with an integer which is the maximum money group C can spend from Watashi's reward

Sample Input

3 10
8 4 5

Sample Output

本来是一个很简单的背包问题的，背包容量太大，就T了

于是就只有DFS然后搜索，注意剪枝

bool cmp(int i,int j)
{
    return i>j;
}
int ans=0;
int a[40];
int n,m;
int vis[40];
void dfs(int i,int v)
{
    if(ans==m)
        return;
    if(v>m)
        return;
    if(v==m)
    {
        ans=v;
        return;
    }
    int sum=0;
    for(int j=i+1;j<n;j++)
    {
        if(!vis[j])
            sum+=a[j];
    }
    if(v+sum<=ans)
        return;
    ans=max(ans,v);
    for(int j=i+1;j<n;j++)
    {
        if(vis[j])
            continue;
        vis[j]=1;
        dfs(j,v+a[j]);
        vis[j]=0;
    }
}
int main()
{
    while(cin>>n>>m)
    {
        ans=0;
        for(int i=0;i<n;i++)
            scanf("%d",&a[i]);
        sort(a,a+n,cmp);
        for(int i=0;i<n;i++)
        {
            vis[i]=1;
            dfs(i,a[i]);
            vis[i]=0;
        }
        cout<<ans<<endl;
    }
}