fractional_knapsack

C++/fractional_knapsack.cpp

@@ -0,0 +1,102 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+float p[100],w[100];
+float x[100];
+
+void knapsack(int m,int n)
+{
+    for(int i = 1; i<=n; i++)
+    {
+        int maX = i;
+        for(int j =i+1; j<=n; j++)
+        {
+            if(p[j]/w[j] > p[maX]/w[maX])
+            {
+                maX = j;
+            }
+        }
+        swap(p[maX],p[i]);
+        swap(w[maX],w[i]);
+
+    }
+
+    int i,u = m;
+    for(i=1; i<=n; i++)
+    {
+        if(w[i]>u)
+            break;
+        x[i] = 1;
+        u = u-w[i];
+    }
+    if(i<=n)
+    {
+        x[i] = u/w[i];
+    }
+
+    for(i=1;i<=n;i++)
+    {
+        if(x[i]==1)
+        {
+            cout << "Weight of item " << w[i] << " and profit " << p[i] << " full selected" << endl;
+        }
+        else if(x[i]<=0)
+        {
+            cout << "Weight of item " << w[i] << " and profit " << p[i] << " is not selected" << endl;
+        }
+        else
+        {
+            cout << "Weight of item " << w[i] << " and profit " << p[i] << " selected " << x[i] << endl;
+        }
+    }
+}
+
+
+void profit_calculation(int n)
+{
+    float sum = 0;
+    for(int i = 1; i<=n; i++)
+    {
+        cout << sum << " = " << sum << " + " << x[i] << " * " << p[i] << endl;
+        sum += x[i]*p[i];
+        cout<<"sum = " << sum << endl;
+    }
+    cout << "Your total profit is: ";
+    cout<<sum;
+}
+
+int main()
+{
+
+    int noumberOFitems,bagSize;
+    cout<<"The no. of items : ";
+    cin>>noumberOFitems;// n is the number of items
+    cout<<"The items Price and weight : "<<endl;
+    for(int i = 1; i<=noumberOFitems; i++)
+    {
+        cin>>p[i]>>w[i];  // Enter Profit space Weight respectively
+
+    }
+    cout<<endl;
+
+    cout<< "The carrying capacity of the bag : ";
+    cin>>bagSize;
+
+    knapsack(bagSize,noumberOFitems);
+
+    /*cout<<"\nYou can take the items respectively portion of : "<<endl;
+    for(int i = 1; i<=noumberOFitems; i++)
+        cout<<x[i]<<" ";*/
+    cout<<endl;
+    //cout<<"your total profit is : ";
+    profit_calculation(noumberOFitems);
+    return 0;
+}
+/*
+4
+12 2
+10 1
+20 3
+15 2
+5
+*/