# include <stdio.h>
# include <string.h>
# include <stdlib.h>
# include <iostream>
# include <fstream>
# include <vector>
# include <queue>
# include <stack>
# include <map>
# include <math.h>
# include <algorithm>
using namespace std;
# define pi acos(-1.0)
# define mem(a,b) memset(a,b,sizeof(a))
# define FOR(i,a,n) for(int i=a; i<=n; ++i)
# define For(i,n,a) for(int i=n; i>=a; --i)
# define FO(i,a,n) for(int i=a; i<n; ++i)
# define Fo(i,n,a) for(int i=n; i>a ;--i)
typedef long long LL;
typedef unsigned long long ULL;
int a[1000+5],b[1000+5],dp[1000+5][1000+5];
int main()
{
int t,n,v;
cin>>t;
while(t--)
{
cin>>n>>v;
FOR(i,1,n)cin>>b[i];
FOR(i,1,n)cin>>a[i];
mem(dp,0);
FOR(i,1,n)FOR(j,0,v)
{
if(a[i]<=j)dp[i][j]=max(dp[i-1][j],dp[i-1][j-a[i]]+b[i]);
else dp[i][j]=dp[i-1][j];
}
cout<<dp[n][v]<<endl;
}
return 0;
}
解法二:时间复杂度O(n2),空间复杂度O(n)
# include <stdio.h>
# include <string.h>
# include <stdlib.h>
# include <iostream>
# include <fstream>
# include <vector>
# include <queue>
# include <stack>
# include <map>
# include <math.h>
# include <algorithm>
using namespace std;
# define pi acos(-1.0)
# define mem(a,b) memset(a,b,sizeof(a))
# define FOR(i,a,n) for(int i=a; i<=n; ++i)
# define For(i,n,a) for(int i=n; i>=a; --i)
# define FO(i,a,n) for(int i=a; i<n; ++i)
# define Fo(i,n,a) for(int i=n; i>a ;--i)
typedef long long LL;
typedef unsigned long long ULL;
int a[1000+5],b[1000+5],dp[1000+5];
int main()
{
int t,n,v;
cin>>t;
while(t--)
{
int ans=0;
cin>>n>>v;
FOR(i,1,n)cin>>b[i];
FOR(i,1,n)cin>>a[i];
mem(dp,0);
FOR(i,1,n)For(j,v,0)
{
if(a[i]<=j)dp[j]=max(dp[j],dp[j-a[i]]+b[i]);
}
cout<<dp[v]<<endl;
}
return 0;
}
HDU 2602 Bone Collector (01背包问题)
原文:http://www.cnblogs.com/teble/p/7191330.html