有N种物品和一个容量为V的背包。第i种物品最多有n[i]件可用,每件费用是c[i],价值是w[i]。求解将哪些物品装入背包可使这些物品的费用总和不超过背包容量,且价值总和最大。
#include <iostream>
using namespace std;
const int N = 1010;
int n;
int Weight[N];
int Value[N];
int Amount[N];
int BagSize;
int dp[N][N];
int main(int argc, char** argv)
{
cin>>n>>BagSize;
for(int i = 1; i <= n; i++)
{
cin>>Weight[i]>>Value[i]>>Amount[i];
}
for(int i = 1; i <= n; i++)
{
for(int j = 0; j <= BagSize; j++)
{
for(int k = 0; k <= Amount[i] && k*Weight[i] <= j; k++)
{
dp[i][j] =
max(dp[i][j] , dp[i-1][j-k*Weight[i]] + k*Value[i]);
}
}
}
cout<<dp[n][BagSize]<<endl;
return 0;
}