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 mgg.utils;

import java.util.ArrayList;
import java.util.HashSet;
import java.util.List;

/**
 * @author manolo
 * @date 13/04/12
 */
public class CombinatoryUtils {

	public static List<Integer> findAddingCombination(int total, 
			List<Integer> listOfNumbers) {

		ArrayList<Integer> solution = new ArrayList<Integer>();

		for (int i = 0; i < listOfNumbers.size(); i++){
			for (int j = 0; j < listOfNumbers.size(); j++){

				if( (i != j) &&
						(listOfNumbers.get(i) + listOfNumbers.get(j) == total) ){
					solution.add(listOfNumbers.get(i));
					solution.add(listOfNumbers.get(j));
					return solution;
				}

			}
		}
		return null;
	}

	public static List<Integer> findAddingCombinationIndices(int total, 
			List<Integer> listOfNumbers) {

		ArrayList<Integer> solution = new ArrayList<Integer>();

		for (int i = 0; i < listOfNumbers.size(); i++){
			for (int j = 0; j < listOfNumbers.size(); j++){

				if( (i != j) &&
						(listOfNumbers.get(i) + listOfNumbers.get(j) == total) ){
					solution.add(i);
					solution.add(j);
					return solution;
				}

			}
		}
		return null;
	}

	public static List<Integer> findAddingCombinationIndicesBase1(int total, 
			List<Integer> listOfNumbers) {

		ArrayList<Integer> solution = new ArrayList<Integer>();

		for (int i = 0; i < listOfNumbers.size(); i++){
			for (int j = 0; j < listOfNumbers.size(); j++){

				if( (i != j) &&
						(listOfNumbers.get(i) + listOfNumbers.get(j) == total) ){
					solution.add(i+1);
					solution.add(j+1);
					return solution;
				}

			}
		}
		return null;
	}

	public static List<Triplet> possibleTriplets(int score) {
		List<Triplet> listOfTriplets = new ArrayList<Triplet>();
		
		for(Triplet t : allPossibleTriplets){
			if(t.sum() == score){
				listOfTriplets.add(t);
			}
		}
		
		return listOfTriplets;
	}
	
	private final static List<Triplet> allPossibleTriplets = allPossibleTriplets();
	
	private static List<Triplet> allPossibleTriplets() {

		HashSet<Triplet> set = new HashSet<Triplet>();
		
//		int cont = 0;
		for (int i = 0; i <= 10; i++) {
			for (int j = 0; j <= 10; j++) {
				if(Math.abs(i-j) <= 2){
					for (int k = 0; k <= 10; k++) {
						if((Math.abs(i-k) <= 2) && (Math.abs(j-k) <= 2)){
//							cont++;
//							System.out.println("(" + i + ", " + j + ", " + k + ")\t\tcont = " + cont);7
							set.add(new Triplet(i, j, k));
							
						}
					}
				}
			}	
		}
		
		return new ArrayList<Triplet>(set);

	}

}
