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KNAPSACK PROBLEM USING DYNAMIC PROGRAMMING


#include<iostream.h>
#include<conio.h>
class knapsack
{
int w[20],v[20],d[10][10],n,c,i,j;
public:
void input( );
void knap( );
int max(int,int);
void output( );
};
void knapsack::input()
{
cout<<"\n\t Knapsack using Dynamic programming";
cout<<"\nHow many items u need:";
cin>>n;
cout<<"\nEnter the capacity";
cin>>c;
cout<<"\nEnter "<<n<<"items:";
for(i=1;i<=n;i++)
{
cout<<"\nEnter the "<<i<<"Weight:";
cin>>w[i];
cout<<"\nEnter the "<<i<<" values";
cin>>v[i];
}
}
void knapsack::knap()
{
for(i=0;i<=n;i++)
d[i][0]=0;
for(j=1;j<=c;j++)
d[0][j]=0;

for(i=1;i<=n;i++)
{
for(j=1;j<=c;j++)
{
if((j-w[i])<0)
d[i][j]=d[i-1][j];
else
{
d[i][j]=max(d[i-1][j],v[i]+(d[i-1][j-w[i]]));
}
}
}
}
void knapsack::output()
{
cout<<"Highest value computation for"<< n <<" items:"<<endl;
for(i=0;i<=n;i++)
{
for(j=0;j<=c;j++)
{

cout<<"\t"<<d[i][j];
}
cout<<endl;
}
}

int knapsack::max(int a,int b)
{
if(a>b)
return a;
else
return b;
}

void main()
{
clrscr();
knapsack k;
k.input();
k.knap();
k.output();
getch();
}


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