package problem1;

import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.IOException;
import java.io.PrintStream;
import java.util.Arrays;





public class Problem1 {

    public static void main(String[] args) throws FileNotFoundException, IOException{
        try {
             TextIO.readFile("L:\\Coodejam\\Input\\Input.txt");
        }
        catch (IllegalArgumentException e) {
              System.out.println("Can't open file ");
              System.exit(0);
         }
        
        FileOutputStream fout = new FileOutputStream("L:\\Coodejam\\Output\\output.txt");
        PrintStream ps=new PrintStream(fout);
        
        int cases=TextIO.getInt();
        int googlers=0,surprising=0,least=0;
        for(int i=0;i<cases;i++){
            int counter=0;
            googlers=TextIO.getInt();
            surprising=TextIO.getInt();
            least=TextIO.getInt();
            int score[]=new int[googlers];
            for(int j=0;j<googlers;j++){
                score[j]=TextIO.getInt();
                 }
            
            
            
            
            Arrays.sort(score);
            int temp=0;
            int sup[]=new int[surprising];
            
          for(int j=0;j<googlers && surprising>0;j++){
               if(biggestNS(score[j])<least && biggestS(score[j])==least){
                   surprising--;
                   counter++;
                }
               }
           
            for(int j=0;j<googlers;j++){
                if(surprising==0)temp=biggestNS(score[j]);
                    
                else {
                    temp=biggestS(score[j]);
                    surprising--;     
                } 
                   if(temp>=least)counter++;
           
             }
            
             ps.println("Case #"+(i+1)+": "+counter);
        }
    }
    
   static int biggestNS(int x){
       if(x==0)return 0;
       if(x==1)return 1;
       return ((x-1)/3)+1;
   }
   
   static int biggestS(int x){
       if(x==0)return 0;
       if(x==1)return 1;
       return ((x-2)/3)+2;
   }
}
package fixjava;

import java.util.ArrayList;
import java.util.Collection;
import java.util.HashMap;
import java.util.Iterator;
import java.util.Set;
import java.util.Map.Entry;

public class CountedSet<T> implements Set<T> {

	HashMap<T, Integer> map = new HashMap<T, Integer>();
	private static final Integer ONE = new Integer(1);

	public CountedSet(Iterable<T> collection) {
		for (T t : collection)
			add(t);
	}

	@Override
	public boolean add(T item) {
		Integer count = map.get(item);
		if (count == null) {
			map.put(item, ONE);
			return true;
		} else {
			map.put(item, count + 1);
			return false;
		}
	}

	/** New method to fetch count, not in normal Sets.  Returns null if key is not in set. */
	public Integer get(String key) {
		return map.get(key);
	}

	/** New method to fetch count, not in normal Sets.  Returns zero if key is not in set. */
	public int getCount(String key) {
		Integer count = map.get(key);
		return count == null ? 0 : count;
	}

	/** Extra method to iterate over entries consisting of both items and counts */
	public Iterator<Entry<T, Integer>> iteratorWithCounts() {
		return map.entrySet().iterator();
	}

	/** Extra method to iterate over entries consisting of both items and counts */
	public Iterable<Entry<T, Integer>> iteratableWithCounts() {
		return map.entrySet();
	}

	/** Convert into sorted list of <item, count> pairs */
	public ArrayList<Pair<T, Integer>> toListSortedByCount(boolean ascending) {
		ArrayList<Pair<T, Integer>> list = Pair.mapToList(map);
        Pair.sortPairsByRight(list, ascending);
		return list;
	}

	// ----- boilerplate stuff: -----

	@Override
	public boolean addAll(Collection<? extends T> collection) {
		boolean changed = false;
		for (T item : collection) {
			add(item);
			changed = true;
		}
		return changed;
	}

	@Override
	public void clear() {
		map.clear();
	}

	@Override
	public boolean contains(Object item) {
		return map.containsKey(item);
	}

	@Override
	public boolean containsAll(Collection<?> collection) {
		boolean containsAll = true;
		for (Object item : collection) {
			if (!contains(item)) {
				containsAll = false;
				break;
			}
		}
		return containsAll;
	}

	@Override
	public boolean isEmpty() {
		return map.isEmpty();
	}

	/** Just iterates over keys, not counts */
	@Override
	public Iterator<T> iterator() {
		return map.keySet().iterator();
	}

	@Override
	public boolean remove(Object item) {
		return map.remove(item) != null;
	}

	@Override
	public boolean removeAll(Collection<?> collection) {
		boolean changed = false;
		for (Object item : collection) {
			if (remove(item)) {
				changed = true;
				break;
			}
		}
		return changed;
	}

	@Override
	public boolean retainAll(Collection<?> arg0) {
		throw new RuntimeException("Not implemented");
	}

	@Override
	public int size() {
		return map.size();
	}

	/** Just returns keys in array, not counts */
	@Override
	public Object[] toArray() {
		return map.keySet().toArray();
	}

	/** Just returns keys in array, not counts */
	@Override
	public <U> U[] toArray(U[] arr) {
		return map.keySet().toArray(arr);
	}
}
