import java.io.*;
import java.util.*;

public class DancingWithGooglers {

  public static class Googlers {

    public int T;
    public int surp;
    public boolean surprising;
    public boolean pSurprising;
    public boolean antiSurprising;
    public boolean pAntiSurprising;

    public Googlers(int T, int surp) {
      this.T = T;
      this.surp = surp;
    }

    public void set(int a, int b, int c) {
      if (c >= 0 && (a + b + c) == T) {
        int diff = (Math.max(a, Math.max(b, c)) - Math.min(a, Math.min(b, c)));
        if (diff <= 2) {
          if (diff == 2) {
            if (a >= surp || b >= surp || c >= surp) {
              pSurprising = true;
            } else {
              surprising = true;
            }
          } else {
            if (a >= surp || b >= surp || c >= surp) {
              pAntiSurprising = true;
            } else {
              antiSurprising = true;
            }
          }
        }
      }
    }
  }

  public static void main(String... args) throws IOException {
//    BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
    BufferedReader reader = new BufferedReader(new FileReader("B-large.in"));
//    PrintWriter writer = new PrintWriter(System.out);
    PrintWriter writer = new PrintWriter("B-large.out");

    int len, cases = Integer.parseInt(reader.readLine());
    List<Googlers> satisfied = new ArrayList<Googlers>();
    List<Googlers> unsatisfied = new ArrayList<Googlers>();
    String[] inputs;
    int N, S, p;
    for (int i = 1; i <= cases; i++) {
      inputs = reader.readLine().split(" ");
      p = Integer.parseInt(inputs[1]);
      S = Integer.parseInt(inputs[2]);
      satisfied.clear();
      unsatisfied.clear();
      for (int j = 3; j < inputs.length; j++) {
        int t = Integer.parseInt(inputs[j]);
        Googlers googlers = new Googlers(t, S);

        for (int k = 0; k <= 10; k++) {
          int till = k + 2 > 10 ? 10 : k + 2;
          for (int l = k; l <= till; l++) {
            googlers.set(k, l, (t - (k + l)));
          }
        }
        if (googlers.pAntiSurprising) {
          satisfied.add(googlers);
        } else {
          unsatisfied.add(googlers);
        }
      }
      int pSurprising = 0;
      if (p > 0) {
        for (Iterator<Googlers> iter = unsatisfied.iterator(); iter.hasNext(); ) {
          Googlers googlers = iter.next();
          if (googlers.pSurprising) {
            pSurprising++;
            iter.remove();
            p--;
            if (p <= 0) break;
          }
        }
      }
      if(p > 0){
        for (Iterator<Googlers> iter = unsatisfied.iterator(); iter.hasNext(); ) {
          Googlers googlers = iter.next();
          if (googlers.surprising) {
            iter.remove();
            p--;
            if (p <= 0) break;
          }
        }
      }
      if(p > 0){
        for (Iterator<Googlers> iter = satisfied.iterator(); iter.hasNext(); ) {
          Googlers googlers = iter.next();
          if (googlers.pSurprising) {
            iter.remove();
            pSurprising++;
            p--;
            if (p <= 0) break;
          }
        }
      }
      if(p > 0){
        for (Iterator<Googlers> iter = satisfied.iterator(); iter.hasNext(); ) {
          Googlers googlers = iter.next();
          if (googlers.surprising) {
            iter.remove();
            p--;
            if (p <= 0) break;
          }
        }
      }

      if(p > 0){
        writer.print("Case #" + i + ": 0");
      }else {
        writer.print("Case #" + i + ": " + (satisfied.size() + pSurprising));
      }
      writer.println();
    }
    writer.flush();
  }


}

package org.mlai.google.codejam;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.FileWriter;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.Map;

public class DancingWithTheGooglers {

	private static void processLine(String line, int lineNumber) {
		if (lineNumber == 1) {
			return;
		}
		String outputLine = "";
		String[] lineArray = line.split(" ");
		outputLine = "Case #" + String.valueOf(lineNumber - 1) + ": ";
		
		int numberOfGooglers = 0;
		int numberOfSurprisingTripletScores = 0;
		int maximumBestResultOfAtLeast = 0;
		
		int totalOfBestScorers = 0;
		
			
		numberOfGooglers = Integer.valueOf(lineArray[0]);
		numberOfSurprisingTripletScores = Integer.valueOf(lineArray[1]);
		maximumBestResultOfAtLeast = Integer.valueOf(lineArray[2]);

		ArrayList<Scores> myScores = new ArrayList<Scores>();
		for (int i = 3; i < lineArray.length; i++) {
			Scores myScore = new Scores();
			myScore.total = Integer.valueOf(lineArray[i]);
			int defaultScore = (myScore.total / 3);  //already rounded down
			
			myScore.setDefaultScore(defaultScore);
			
			myScore.scoreToEqual = maximumBestResultOfAtLeast;
			
			if (!myScore.correct()) {
				myScore.score1Added = true;
				myScore.score1++;
			}
			if (!myScore.correct()) {
				myScore.score2Added = true;
				myScore.score2++;
			}
			if (!myScore.correct()) {
				System.out.println("Should not ever happen");
				outputLine += "Should not ever happen";
			}

			myScores.add(myScore);
		}
		
		for (int i = myScores.size() - 1; i >= 0; i--) {
			if (myScores.get(i).bestScore()) {
				totalOfBestScorers++;
				myScores.remove(i);
			}
		}
		
		for (int i = 0; i < myScores.size(); i++) {
//				if (((myScores.get(i).score2 > 0) && (myScores.get(i).score2Added) && (myScores.get(i).score1Added)) || ((myScores.get(i).score2 > 0) && (!myScores.get(i).score1Added) && (!myScores.get(i).score2Added))) {
//					myScores.get(i).score1++;
//					myScores.get(i).score2--;
//				}
				if ((myScores.get(i).score2 > 0) && (myScores.get(i).score2Added) && (myScores.get(i).score1Added)) {
					myScores.get(i).score1++;
					myScores.get(i).score2--;
				} else if ((myScores.get(i).score1 > 0) && (myScores.get(i).score2 > 0) && (!myScores.get(i).score1Added) && (!myScores.get(i).score2Added)) {
					myScores.get(i).score1++;
					myScores.get(i).score2--;
				}
		}
		
		for (int i = myScores.size() - 1; i >= 0; i--) {
			if (myScores.get(i).bestScore()) {
				if (numberOfSurprisingTripletScores <= 0) {
					break;
				}
				totalOfBestScorers++;
				myScores.remove(i);
				numberOfSurprisingTripletScores--;
			}
		}
		
		outputLine += String.valueOf(totalOfBestScorers);
		

		writeFile(outputLine);
	}
	
	private static class Scores {
		int total = 0;
		int score1 = 0;
		int score2 = 0;
		int score3 = 0;
		int scoreToEqual = 0;
		boolean score2Added = false;
		boolean score1Added = false;
		
		
		public int getTotal() {
			return score1 + score2 + score3;
		}
		
		public boolean correct() {
			if (getTotal() == total) {
				return true;
			} else {
				return false;
			}
		}
		
		public void setDefaultScore (int defaultScore) {
			score1 = defaultScore;
			score2 = defaultScore;
			score3 = defaultScore;
		}
		
		public boolean bestScore() {
			if ((score1 >= scoreToEqual) || (score2 >= scoreToEqual) || (score3 >= scoreToEqual)) {
				return true;
			} else {
				return false;
			}
		}

	}
	

	public static void main(String[] args) {
		 try{
			  FileInputStream fstream = new FileInputStream("input.txt");

			  DataInputStream in = new DataInputStream(fstream);
			  BufferedReader br = new BufferedReader(new InputStreamReader(in));
			  String strLine;
			  int lineNumber = 0;
			  while ((strLine = br.readLine()) != null)   {
				  lineNumber++;				  
				  processLine(strLine, lineNumber);
			  }
			  in.close();
		    }catch (Exception e){
		    	System.err.println("Error Main: " + e.getMessage());
		    	e.printStackTrace();
	    	}
	}

	
	private static void writeFile(String line) {
		try{
			  System.out.println(line);
			  FileWriter fstream = new FileWriter("out.txt",true);
			  BufferedWriter out = new BufferedWriter(fstream);
			  out.write(line + "\n");
			  out.close();
		  }catch (Exception e){
			  System.err.println("Error writeFile: " + e.getMessage());
		  }
	}

}
