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 codejam2012.qualified;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;

public class ProblemB {

	static BufferedReader buffReader = null;
	static BufferedWriter buffWriter = null;
	static FileReader fileReader = null;
	static FileWriter fileWriter = null;
	static String input_test = "/home/qimeng/problemB.test";
	static String input_small =  "/home/qimeng/B-small-attempt1.in";
	static String input_large = "/home/qimeng/B-large.in";

	public static final void main(String[] args){
		try {
			fileReader = new FileReader(input_large);
			buffReader = new BufferedReader(fileReader);
			fileWriter = new FileWriter("/home/qimeng/problemB.out");
			buffWriter = new BufferedWriter(fileWriter);

			int total_size = Integer.parseInt(buffReader.readLine());
			//iterate through every input line
			for(int i=1; i<=total_size; i++){
				String[] str = buffReader.readLine().split(" ");
				int strLen = str.length;
				
				int T = Integer.parseInt(str[0]);
				int s = Integer.parseInt(str[1]);
				int p = Integer.parseInt(str[2]);
				
				int[] scores = new int[T];
				
				int k = 0;
				for(int j=3; j<strLen; j++){					
					scores[k] =  Integer.parseInt(str[j]);
					k++;
				}
				
				
				System.out.println("Case #" +i+": " + danceAlgorithm(s, p, scores));
				buffWriter.write("Case #" +i+": " + danceAlgorithm(s, p, scores));
				buffWriter.newLine();
				buffWriter.flush();
			}


		} catch (FileNotFoundException e) {
			e.printStackTrace();
		} catch (IOException e) {
			e.printStackTrace();
		} finally {
			try {
				buffWriter.flush();		
				buffWriter.close();
				buffReader.close();
				fileReader.close();
				fileWriter.close();
			} catch (IOException e) {
				e.printStackTrace();
			}
		}
	}

	
	private static int danceAlgorithm(int s, int p, int[] scores){		
		int result = 0;
		
		int i = 0;
		while(i < scores.length){
			int score = scores[i];
			if(score == 0 && p != 0){
				i++;
				continue;
			}
			
			int avg = score / 3;
			int rem = scores[i] % 3;
			
			//System.out.println("p:"+ p +"  avg: "+avg+"  rem: "+rem);
			if(avg >= p){
				result++;
			}		
			else {
				if(rem == 0){
					if(avg + 1 >= p) { 
						if(s>0){
							result++;
							s--;
						}
					}
				}
				else if(rem == 1){
					if(avg + 1 >= p) { result++; }
				}
				else if(rem == 2){
					if(avg + 2 >= p) { 
						if(avg+1>=p){ result++;}
						else{
							if(s>0){
								result++;
								s--;
							}
						}
					}
				}
			}
			i++;
		}
		
		return result;
	}
}
