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.sooo;

import java.io.File;
import java.io.OutputStreamWriter;
import java.util.List;

import com.google.common.base.Charsets;
import com.google.common.base.Function;
import com.google.common.base.Splitter;
import com.google.common.collect.Lists;
import com.google.common.io.CharStreams;
import com.google.common.io.Files;
import com.google.common.io.OutputSupplier;

public class DancingWithTheGooglers {

	class TripletScore {
		int a;
		int b;
		int c;

		public TripletScore(int a, int b, int c) {
			this.a = a;
			this.b = b;
			this.c = c;
		}

		public boolean isSatisfied(int pointRequired) {
			if (c >= pointRequired)
				return true;
			else
				return false;
		}

		public boolean satisfiedIfSurprised(int pointRequired) {
			if (isSatisfied(pointRequired))
				return false;
			if (c == 0)
				return false;

			if (pointRequired - c == 1 && (a + b) >= 1)
				return true;
			else
				return false;
		}

		@Override
		public String toString() {
			return String.format("(%d, %d, %d)", a, b, c);
		}
	}

	public static void main(String[] args) throws Exception {
		String inputFilePath = "src/main/resources/B-large.in";
		//String inputFilePath = "src/main/resources/B-sample.in";
		OutputSupplier<OutputStreamWriter> outputSupplier = Files
				.newWriterSupplier(new File(inputFilePath + ".out"),
						Charsets.UTF_8);
		List<String> lines = Files.readLines(new File(inputFilePath),
				Charsets.UTF_8);
		StringBuilder results = new StringBuilder();
		for (int i = 1; i < lines.size(); i++) {
			List<String> fromList = Lists.newArrayList(Splitter.on(' ').split(
					lines.get(i)));
			List<Integer> info = Lists.transform(fromList,
					new Function<String, Integer>() {
						public Integer apply(String input) {
							return Integer.parseInt(input);
						}
					});
			int numSurprise = info.get(1);
			int pointRequired = info.get(2);
			int numSatisfied = 0;
			for (int j = 3; j < info.size(); j++) {
				int totalScore = info.get(j);
				int avg = totalScore / 3;
				TripletScore ts;
				if (avg * 3 == totalScore) {
					ts = new DancingWithTheGooglers().new TripletScore(avg,
							avg, avg);
				} else {
					if (totalScore - (avg * 3) == 1)
						ts = new DancingWithTheGooglers().new TripletScore(avg,
								avg, avg + 1);
					else
						ts = new DancingWithTheGooglers().new TripletScore(avg,
								avg + 1, avg + 1);
				}
				if (ts.isSatisfied(pointRequired))
					numSatisfied++;
				else {
					if (numSurprise > 0
							&& ts.satisfiedIfSurprised(pointRequired)) {
						numSurprise--;
						numSatisfied++;
					}
				}
			}
			String result = String.format("Case #%d: %d\n", i, numSatisfied);
			System.out.printf(result);
			results.append(result);
		}
		CharStreams.write(results, outputSupplier);
	}
}
