Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave … 
The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the maximum of the total value the bone collector can get ? 

InputThe first line contain a integer T , the number of cases. 
Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third line contain N integers representing the volume of each bone.OutputOne integer per line representing the maximum of the total value (this number will be less than 2 31).Sample Input

1
5 10
1 2 3 4 5
5 4 3 2 1

Sample Output

14
一个很简单的背包问题,但是用dfs记忆化搜索也可做,并且复杂度相同
#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N=1E3+;
int n,m;
ll v[N];
ll w[N];
ll dp[N][N];
ll dfs(int x,int y){
ll ans=;
if(x<=) return ;
if(dp[x][y]) return dp[x][y];
if(w[x]>y) ans=dfs(x+,y);
else {
ans=max(dfs(x+,y),dfs(x+,y-w[x])+v[x]);
}
return dp[x][y]=ans;
}
int main(){
int t;
cin>>t;
while(t--){
cin>>n>>m;
for(int i=;i<=n;i++){
cin>>v[i];
}
for(int j=;j<=n;j++)
cin>>w[j];
memset(dp,,sizeof(dp));
cout<<dfs(,m)<<endl;
} return ;
}

写dfs的时候一定要清楚它的返回值的意义。

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