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 com.skidson.codejam;

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

public class DancingWithTheGooglers {
	private static final File inFile = new File("input");
	private static final File outFile = new File("output");

	public static void main(String[] args) throws IOException {
		BufferedReader in = new BufferedReader(new FileReader(inFile));
		BufferedWriter out = new BufferedWriter(new FileWriter(outFile));
		int numTests = Integer.parseInt(in.readLine());
		
		for (int x = 0; x < numTests; x++) {
			String[] params = in.readLine().split(" ");
			int N = Integer.parseInt(params[0]);
			int S = Integer.parseInt(params[1]);
			int p = Integer.parseInt(params[2]);
			int y = 0;
			
			int[] t = new int[N];
			for (int j = 3; j < params.length; j++)
				t[j-3] = Integer.parseInt(params[j]);
			
			int[][] scores = new int[N][];
			for (int i = 0; i < N; i++) {
				scores[i] = new int[]{p, p, p};
				
				if (sumArray(scores[i]) <= t[i]) {
					y++;
					continue;
				}
				
				boolean valid = true;
				while (valid && sumArray(scores[i]) != t[i]) {
					/* Decrement an element of the array, prioritizing not consuming an S:
					 *	p	p	p
					 *	p-1	p	p
					 *	p-1	p-1	p
					 *	p-2	p-1	p	... if sum is hit here or after, must consume S (S--)
					 *	p-2 p-2	p	... if sum is not hit by now, this cannot meet  our criteria
					 */
					if (p-scores[i][0] >= 2 && p-scores[i][1] >= 2) {
						valid = false;
					} else if (scores[i][1] == scores[i][0]) {
						if (--scores[i][0] < 0)
							valid = false;
					} else {
						if (--scores[i][1] < 0)
							valid = false;
					}
				}
				
				if (valid) {
					// scores[i][0] will always be smallest, scores[i][2] largest
					if (scores[i][2] - scores[i][0] == 2) {
						if (S > 0) {
							S--;
							y++;
						}
					} else {
						y++;
					}
				}
			}
			out.write("Case #" + (x+1) + ": " + y + "\n");
		}
		out.flush();
		out.close();
	}
	
	private static int sumArray(int[] array) {
		int sum = 0;
		for (int i : array)
			sum += i;
		return sum;
	}

}
