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 hk.polyu.cslhu.codejam.solution.impl.qualificationround;

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

import hk.polyu.cslhu.codejam.solution.Solution;

public class DancingWithTheGooglers extends Solution {
	private int N, S, p;
	private List<Integer> totalPointList;

	@Override
	public void setProblem(List<String> problemDesc) {
		// TODO Auto-generated method stub
		String[] splitArray = problemDesc.get(0).split(" ");
		
		this.N = Integer.valueOf(splitArray[0]);
		this.S = Integer.valueOf(splitArray[1]);
		this.p = Integer.valueOf(splitArray[2]);
		
		this.totalPointList = new ArrayList<Integer>();
		for (int i = 3; i < splitArray.length; i++) {
			this.totalPointList.add(Integer.valueOf(splitArray[i]));
		}
		
		if (this.totalPointList.size() != this.N)
			logger.error("Found an error for " + problemDesc.get(0));
	}

	@Override
	public void solve() {
		// TODO Auto-generated method stub
		int minNotSupSum = this.p * 3 - 2;
		int minSupSum = this.p > 1 ? (this.p * 3 - 4) : 1;
		
		int totalNotSup = 0;
		int totalSup = 0;
		
		for (Integer point : this.totalPointList) {
			if (point >= minNotSupSum)
				totalNotSup++;
			else if (point >= minSupSum)
				totalSup++;
		}
		
		if (totalSup + totalNotSup < this.S)
			logger.error("Found an error for suprising cases");
		
		this.result = String.valueOf(totalNotSup + Math.min(totalSup, this.S));
	}

}
