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 de.johanneslauber.codejam.model.impl;

import de.johanneslauber.codejam.model.BaseProblem;
import de.johanneslauber.codejam.model.ICase;
import de.johanneslauber.codejam.model.IProblem;

/**
 * 
 * @author Johannes Lauber - joh.lauber@googlemail.com
 * 
 */
public class DancingGooglersProblem extends BaseProblem implements IProblem {

	@Override
	public void solveCases() {
		for (ICase currentCase : super.listOfCases) {
			StringBuilder builder = new StringBuilder();
			DancingGooglersCase dancingGoogleCase = (DancingGooglersCase) currentCase;

			int[] maxPointsForGooglers = dancingGoogleCase
					.getMaxPointsOfGooglers();

			int minLimitOfPoints = dancingGoogleCase.getMinLimitOfPoints();
			int numberOfTriplets = dancingGoogleCase.getNumberOfTriplets();
			int numberOfGooglersHigherLimit = 0;

			for (int i = 0; i < maxPointsForGooglers.length; i++) {
				int maxPointsForGoogler = maxPointsForGooglers[i];
				double quotient = (double) maxPointsForGoogler / (double) 3;

				// zero is a special case
				if (maxPointsForGoogler != 0) {

					// test whether a triplet with 1 or 2 apart is possible with
					// the
					// current min level
					if ((Math.round(quotient) + 1) >= minLimitOfPoints) {

						// test whether apart is 1 or 2
						if ((minLimitOfPoints - 1) >= quotient) {

							// are ther more triplets left?
							if (numberOfTriplets > 0) {
								numberOfGooglersHigherLimit++;
								numberOfTriplets--;
							} else {
								// its possible to make a triplet with apart of
								// 2,
								// but no more left
								System.out.println("no more left");
							}
						} else {
							numberOfGooglersHigherLimit++;
						}
					}
				} else if (minLimitOfPoints == 0) {
					// if the limit and the max points are 0, it's possible
					numberOfGooglersHigherLimit++;
				}
			}

			// for (int i = 0; i < maxPointsForGooglers.length; i++) {
			// if (((maxPointsForGooglers[i] + 2) / 3) >= minLimitOfPoints) {
			// numberOfGooglersHigherLimit++;
			// } else if ((numberOfTriplets > 0)
			// && (((maxPointsForGooglers[i] + 4) / 3) >= minLimitOfPoints)) {
			// numberOfTriplets--;
			// numberOfGooglersHigherLimit++;
			// }
			// }

			this.writeToFile(String.valueOf(numberOfGooglersHigherLimit));
		}
		this.closeWriter();
	}

}
