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a_146_Fractional_knapsack.java
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import java.util.* ;
public class a_146_Fractional_knapsack {
public static void main(String[] args) {
int val[] = {60, 100, 120 } ;
int weight[] = {10, 20, 30 } ;
int w = 50 ;
double ratio[][] = new double[val.length][2] ;
// 0th col => index ; 1st col => ratio ;
for(int i=0; i<val.length; i++){
ratio[i][0] = i ;
ratio[i][1] = val[i]/(double)weight[i] ;
}
// Ascending order
Arrays.sort(ratio, Comparator.comparingDouble( o-> o[1] ) ) ;
int capacity = w ;
double finalVal = 0 ;
for(int i=ratio.length-1 ; i>=0 ; i--){
int idx = (int )ratio[i][0] ;
if(capacity >= weight[idx] ) { // include full item
finalVal += val[idx] ;
capacity -= weight[idx] ;
}
else{
// Fractional item
finalVal += ( ratio[i][1] * capacity ) ;
capacity = 0 ;
break ;
}
}
System.out.println("Final value of = " + finalVal);
}
}