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 ch.socaciu.andrei.codejam;

import java.io.*;
import java.util.ArrayList;
import java.util.List;

/**
 * @author Andrei Socaciu
 */
public class Dancing {

    public static void main(String[] args) throws Exception {
        String in = "data/Dancing-large.in.txt";
        String out = "data/Dancing-large.out.txt";
        String line = null;
        BufferedReader reader = new BufferedReader(new InputStreamReader(new FileInputStream(in)));
        List<String> lines = new ArrayList<String>();
        while ((line = reader.readLine()) != null) {
            lines.add(line);
        }
        reader.close();
        int tests = Integer.parseInt(lines.get(0));
        List<String> res = new ArrayList<String>();
        int k = 1;
        for (int i = 1; i <= tests; i++) {
            line = lines.get(k++);
            String[] parts = line.split(" ");
            int n = Integer.parseInt(parts[0]);
            int[] scores = new int[n];
            int s = Integer.parseInt(parts[1]);
            int p = Integer.parseInt(parts[2]);
            for (int j = 0; j < n; j++) {
                scores[j] = Integer.parseInt(parts[3+j]);
            }
            int result = solve(scores, s, p);
            res.add("Case #" + i + ": " + result);
        }
        BufferedWriter writer = new BufferedWriter(new OutputStreamWriter(new FileOutputStream(out)));
        for (String re : res) {
            writer.write(re);
            writer.write("\n");
        }
        writer.close();
    }

    private static int solve(int[] scores, int s, int p) {
        int count = 0;
        int special = s;
        for (int score : scores) {
            if (score / 3 >= p) {
                //avg. larger than p, at least one score will be >= p
                count++;
            } else if (score == 3*p - 1 || score == 3*p - 2) {
                //these are covered by the not-special cases
                count++;
            } else if (special > 0) {
                //try to see if a special case matches
                if (score % 3 == 0) { //s-1,s,s+1
                    if (score / 3 + 1 >= p && score / 3 - 1 >= 0)  {
                        count++;
                        special--;
                    }
                } else if (score % 3 == 1) {//s,s,s-2
                    if ((score + 2) / 3 >= p) {
                        count++;
                        special--;
                    }
                } else {//s,s,s+2
                    if ((score - 2) / 3 + 2 >= p) {
                        count++;
                        special--;
                    }
                }
            }
        }
        return count;
    }

}
