Created
August 4, 2012 01:59
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Rucksack Problem
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import java.util.ArrayList; | |
public class Rucksack { | |
private ArrayList<Item> items=new ArrayList<Item>(); | |
/** | |
* @param args | |
*/ | |
public static void main(String[] args) { | |
// TODO Auto-generated method stub | |
Rucksack rs=new Rucksack(); | |
rs.add("Wood",100,1000); | |
rs.add("Gold",50,1000); | |
rs.add("Diamond",50,10000); | |
for (int i = 0; i <12; i++) { | |
rs.add("Random Item "+i,(int)( Math.random()*400d+50),(int)( Math.random()*4000d+50)); | |
} | |
rs.solve(500); | |
rs.quicksolve(500); | |
} | |
private void quicksolve(int max_weight) { | |
int max_value=0; | |
for(Item i:items){ | |
max_value+=i.approximate_value; | |
} | |
System.out.println();System.out.println(); | |
System.out.println("Problem Size "+(max_value*items.size())); | |
int[][] mingewicht=new int[items.size()+1][max_value+1]; | |
for (int i = 0; i < mingewicht.length; i++) { | |
for (int j = 0; j < mingewicht[i].length; j++) { | |
mingewicht[i][j]=(j==0?0:100000); | |
} | |
} | |
int citem=0; | |
int cvalue=0; | |
for (int i = 1; i < mingewicht.length; i++) { | |
for (int w = 1; w < mingewicht[i].length; w++) { | |
mingewicht[i][w]=mingewicht[i-1][w]; | |
Item current_item=items.get(i-1); | |
if(current_item.approximate_value<=w&&mingewicht[i-1][w-current_item.approximate_value]+current_item.weight<=mingewicht[i][w]){ | |
mingewicht[i][w]=mingewicht[i-1][w-current_item.approximate_value]+current_item.weight; | |
if(mingewicht[i][w]<=max_weight&& w>cvalue){ | |
citem=i; | |
cvalue=w; | |
} | |
} | |
} | |
} | |
System.out.println("Quick Result: "+mingewicht[citem][cvalue]); | |
//Walkback | |
while(citem>0){ | |
Item current_item=items.get(citem-1); | |
if(current_item.approximate_value<=cvalue&&mingewicht[citem][cvalue]==mingewicht[citem-1][cvalue-current_item.approximate_value]+current_item.weight){ | |
System.out.println("Take:"+current_item.name); | |
citem--; | |
cvalue-=current_item.approximate_value; | |
}else{ | |
//System.out.println("Do not take:"+current_item.name); | |
citem--; | |
} | |
} | |
} | |
private void solve(int max_weight) { | |
int[][] maxwert=new int[items.size()+1][max_weight+1];System.out.println();System.out.println(); | |
System.out.println("Problem Size "+(max_weight*items.size())); | |
for (int i = 1; i < maxwert.length; i++) { | |
for (int g = 1; g < maxwert[i].length; g++) { | |
maxwert[i][g]=maxwert[i-1][g]; | |
Item current_item=items.get(i-1); | |
if(current_item.weight<=g&&maxwert[i-1][g-current_item.weight]+current_item.value>=maxwert[i][g]){ | |
maxwert[i][g]=maxwert[i-1][g-current_item.weight]+current_item.value; | |
} | |
} | |
} | |
System.out.println("Result:"+maxwert[items.size()][max_weight]); | |
//Walkback | |
int citem=items.size(); | |
int cweight=max_weight; | |
while(citem>0){ | |
Item current_item=items.get(citem-1); | |
if(maxwert[citem][cweight]==maxwert[citem-1][cweight]){ | |
//System.out.println("Do not take:"+current_item.name); | |
citem--; | |
}else{ | |
System.out.println("Take:"+current_item.name); | |
citem--; | |
cweight-=current_item.weight; | |
} | |
} | |
} | |
private void add(String name, int weight, int value) { | |
// TODO Auto-generated method stub | |
System.out.println("Item: "+name+" Weight:"+weight+" Value:"+value); | |
items.add(new Item(name,weight,value)); | |
} | |
class Item{ | |
private String name; | |
private int weight; | |
private int value; | |
private int approximate_value; | |
public Item(String name, int weight, int value) { | |
this.setName(name); | |
this.setWeight(weight); | |
this.setValue(value); | |
} | |
public String getName() { | |
return name; | |
} | |
public void setName(String name) { | |
this.name = name; | |
} | |
public int getWeight() { | |
return weight; | |
} | |
public void setWeight(int weight) { | |
this.weight = weight; | |
} | |
public int getValue() { | |
return value; | |
} | |
public void setValue(int value) { | |
this.value = value; | |
this.approximate_value=(int)Math.round(value/250d); | |
} | |
} | |
} |
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