01背包问题-动态规划源码

#include

#include

#include

#define max(a,b) (((a) > (b)) ? (a) : (b))

using namespace std;

int M[100][100]={0};

int Value[100]={0};

int Weight[100]={0};

bool Select[100]={0};

int Bag(int,int);

void Selected(int,int);

int main(int argc,char * argv[])

{

int ObjectNum=0;

int Capacity=0;

cout<<"Please input the number of theobjects:"<<endl;

cin>>ObjectNum;

cout<<"Please input the value and weight of eachobject:"<<endl;

for(int i=1;i<=ObjectNum;i++)

{

cout<<"Number "<<i<<':'<<endl;

cin>>Value[i]>>Weight[i];

}

cout<<"Please input the capacity:"<<endl;

cin>>Capacity;

cout<<"The result is:"<<endl;

cout<<Bag(ObjectNum,Capacity)<<endl;

cout<<"The Matrix:"<<endl<<" ";

for(int i=1;i<=ObjectNum;i++)

{

for(int j=1;j<=Capacity;j++)

{

cout<<M[i][j]<<setw(3);

}

cout<<endl;

}

// Selected(ObjectNum,Capacity);

cout<<"Accroading to the Selected matrix(";

for(int i=1;i<=ObjectNum;i++)

{

cout<<Select[i]<<' ';

}

cout<<"),\n the selected objectsare:"<<endl;

for(int i=1;i<=ObjectNum;i++)

{

if(Select[i])

cout<<"No."<<i<<' ';

}

cout<<endl;

system("pause");

return 0;

}

int Bag(int ObjectNum,int Capacity)

{

for(int i=1;i<=ObjectNum;i++)

{

for(int j=1;j<=Capacity;j++)

{

if(j

{

M[i][j]=M[i-1][j];

}

else

{

M[i][j]=max(M[i-1][j],(M[i-1][j-Weight[i]]+Value[i]));

}

}

}

int c=Capacity;

    for(inti=ObjectNum;i>=1;i--)

    {

if(M[i][c]>M[i-1][c])

       {

       Select[i]=1;

       c=c-Weight[i];

       }

    else

       Select[i]=0;  

    }

return M[ObjectNum][Capacity];

}

void Selected(int ObjectNum,int Capacity)

{

cout<<"The selected objects:"<<endl;

Select[1]=M[1][Capacity]==0? 0:1;

for(int i=ObjectNum;i=1;i--)

{

if(M[i][Capacity]>M[i-1][Capacity])

{

Select[i]=1;

Capacity=Capacity-Weight[i];

}

else

Select[i]=0;

}

}