/**
 * 
 */
package hu.herba.codejam;

import java.io.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;

/**
 * Base functionality, helper functions for CodeJam problem solver utilities.
 * 
 * @author csorbazoli
 */
public abstract class AbstractCodeJamBase {
    private static final String EXT_OUT = ".out";
    protected static final int STREAM_TYPE = 0;
    protected static final int FILE_TYPE = 1;
    protected static final int READER_TYPE = 2;
    private static final String DEFAULT_INPUT = "test_input";
    private static final String DEFAULT_OUTPUT = "test_output";

    private final File inputFolder;
    private final File outputFolder;

    public AbstractCodeJamBase(String[] args, int type) {
	String inputFolderName = AbstractCodeJamBase.DEFAULT_INPUT;
	String outputFolderName = AbstractCodeJamBase.DEFAULT_OUTPUT;
	if (args.length > 0) {
	    inputFolderName = args[0];
	}
	this.inputFolder = new File(inputFolderName);
	if (!this.inputFolder.exists()) {
	    this.showUsage("Input folder '" + this.inputFolder.getAbsolutePath() + "' not exists!");
	}
	if (args.length > 1) {
	    outputFolderName = args[1];
	}
	this.outputFolder = new File(outputFolderName);
	if (this.outputFolder.exists() && !this.outputFolder.canWrite()) {
	    this.showUsage("Output folder '" + this.outputFolder.getAbsolutePath() + "' not writeable!");
	} else if (!this.outputFolder.exists() && !this.outputFolder.mkdirs()) {
	    this.showUsage("Could not create output folder '" + this.outputFolder.getAbsolutePath() + "'!");
	}
	File[] inputFiles = this.inputFolder.listFiles();
	for (File inputFile : inputFiles) {
	    this.processInputFile(inputFile, type);
	}
    }

    /**
     * @return the inputFolder
     */
    public File getInputFolder() {
	return this.inputFolder;
    }

    /**
     * @return the outputFolder
     */
    public File getOutputFolder() {
	return this.outputFolder;
    }

    /**
     * @param input
     *            input reader
     * @param output
     *            output writer
     * @throws IOException
     *             in case input or output fails
     * @throws IllegalArgumentException
     *             in case the given input is invalid
     */
    @SuppressWarnings("unused")
    protected void process(BufferedReader reader, PrintWriter pw) throws IOException, IllegalArgumentException {
	System.out.println("NEED TO IMPLEMENT (reader/writer)!!!");
	System.exit(-2);
    }

    /**
     * @param input
     *            input file
     * @param output
     *            output file (will be overwritten)
     * @throws IOException
     *             in case input or output fails
     * @throws IllegalArgumentException
     *             in case the given input is invalid
     */
    protected void process(File input, File output) throws IOException, IllegalArgumentException {
	System.out.println("NEED TO IMPLEMENT (file/file)!!!");
	System.exit(-2);
    }

    /**
     * @param input
     *            input stream
     * @param output
     *            output stream
     * @throws IOException
     *             in case input or output fails
     * @throws IllegalArgumentException
     *             in case the given input is invalid
     */
    protected void process(InputStream input, OutputStream output) throws IOException, IllegalArgumentException {
	System.out.println("NEED TO IMPLEMENT (stream/stream)!!!");
	System.exit(-2);
    }

    /**
     * @param type
     * @param input
     * @param output
     */
    private void processInputFile(File input, int type) {
	long starttime = System.currentTimeMillis();
	System.out.println("Processing '" + input.getAbsolutePath() + "'...");
	File output = new File(this.outputFolder, input.getName() + AbstractCodeJamBase.EXT_OUT);
	if (type == AbstractCodeJamBase.STREAM_TYPE) {
	    InputStream is = null;
	    OutputStream os = null;
	    try {
		is = new FileInputStream(input);
		os = new FileOutputStream(output);
		this.process(is, os);
	    } catch (FileNotFoundException e) {
		this.showUsage("FileNotFound: " + e.getLocalizedMessage());
	    } catch (IllegalArgumentException excIA) {
		this.showUsage(excIA.getLocalizedMessage());
	    } catch (Exception exc) {
		System.out.println("Program failed: " + exc.getLocalizedMessage());
		exc.printStackTrace(System.out);
	    } finally {
		if (is != null) {
		    try {
			is.close();
		    } catch (IOException e) {
			System.out.println("Failed to close input: " + e.getLocalizedMessage());
		    }
		}
		if (os != null) {
		    try {
			os.close();
		    } catch (IOException e) {
			System.out.println("Failed to close output: " + e.getLocalizedMessage());
		    }
		}
	    }
	} else if (type == AbstractCodeJamBase.READER_TYPE) {
	    BufferedReader reader = null;
	    PrintWriter pw = null;
	    try {
		reader = new BufferedReader(new FileReader(input));
		pw = new PrintWriter(output);
		this.process(reader, pw);
	    } catch (FileNotFoundException e) {
		this.showUsage("FileNotFound: " + e.getLocalizedMessage());
	    } catch (IllegalArgumentException excIA) {
		this.showUsage(excIA.getLocalizedMessage());
	    } catch (Exception exc) {
		System.out.println("Program failed: " + exc.getLocalizedMessage());
		exc.printStackTrace(System.out);
	    } finally {
		if (reader != null) {
		    try {
			reader.close();
		    } catch (IOException e) {
			System.out.println("Failed to close input: " + e.getLocalizedMessage());
		    }
		}
		if (pw != null) {
		    pw.close();
		}
	    }
	} else if (type == AbstractCodeJamBase.FILE_TYPE) {
	    try {
		this.process(input, output);
	    } catch (IllegalArgumentException excIA) {
		this.showUsage(excIA.getLocalizedMessage());
	    } catch (Exception exc) {
		System.out.println("Program failed: " + exc.getLocalizedMessage());
		exc.printStackTrace(System.out);
	    }
	} else {
	    this.showUsage("Unknown type given: " + type + " (accepted values: 0,1)");
	}
	System.out.println("  READY (" + (System.currentTimeMillis() - starttime) + " ms)");
    }

    /**
     * Read a single number from input
     * 
     * @param reader
     * @param purpose
     *            What is the purpose of given data
     * @return
     * @throws IOException
     * @throws IllegalArgumentException
     */
    protected int readInt(BufferedReader reader, String purpose) throws IOException, IllegalArgumentException {
	int ret = 0;
	String line = reader.readLine();
	if (line == null) {
	    throw new IllegalArgumentException("Invalid input: line is empty, it should be an integer (" + purpose + ")!");
	}
	try {
	    ret = Integer.parseInt(line);
	} catch (NumberFormatException excNF) {
	    throw new IllegalArgumentException("Invalid input: the first line '" + line + "' should be an integer (" + purpose + ")!");
	}
	return ret;
    }

    /**
     * Read array of integers
     * 
     * @param reader
     * @param purpose
     * @return
     */
    protected int[] readIntArray(BufferedReader reader, String purpose) throws IOException {
	int[] ret = null;
	String line = reader.readLine();
	if (line == null) {
	    throw new IllegalArgumentException("Invalid input: line is empty, it should be an integer list (" + purpose + ")!");
	}
	String[] strArr = line.split("\\s");
	int len = strArr.length;
	ret = new int[len];
	for (int i = 0; i < len; i++) {
	    try {
		ret[i] = Integer.parseInt(strArr[i]);
	    } catch (NumberFormatException excNF) {
		throw new IllegalArgumentException("Invalid input: line '" + line + "' should be an integer list (" + purpose + ")!");
	    }
	}
	return ret;
    }

    /**
     * Read array of strings
     * 
     * @param reader
     * @param purpose
     * @return
     */
    protected String[] readStringArray(BufferedReader reader, String purpose) throws IOException {
	String[] ret = null;
	String line = reader.readLine();
	if (line == null) {
	    throw new IllegalArgumentException("Invalid input: line is empty, it should be a string list (" + purpose + ")!");
	}
	ret = line.split("\\s");
	return ret == null ? new String[0] : ret;
    }

    /**
     * Basic usage pattern. Can be overwritten by current implementation
     * 
     * @param message
     *            Short message, describing the problem with given program
     *            arguments
     */
    protected void showUsage(String message) {
	if (message != null) {
	    System.out.println(message);
	}
	System.out.println("Usage:");
	System.out.println("\t" + this.getClass().getName() + " program");
	System.out.println("\tArguments:");
	System.out.println("\t\t<input folder>:\tpath of input folder (default: " + AbstractCodeJamBase.DEFAULT_INPUT + ").");
	System.out.println("\t\t               \tAll files will be processed in the folder");
	System.out.println("\t\t<output folder>:\tpath of output folder (default: " + AbstractCodeJamBase.DEFAULT_OUTPUT + ")");
	System.out.println("\t\t               \tOutput file name will be the same as input");
	System.out.println("\t\t               \tinput with extension '.out'");
	System.exit(-1);
    }
}


import java.io.*;
import java.util.*;

class B{}

public class DanceG {
	static Scanner scan;
	static PrintWriter writer;
	static HashMap<Integer, List<Integer>> map;
	
	
	public static void readProcessOutput() throws Exception{
	
		String outputStr = ""; String result = "";
		int index = 1;	
		
		int testCases = Integer.parseInt(scan.nextLine());
		//-------
		
		
		
		//-------
		
		while(index <= testCases ){	//runs testCases number of times
		
			System.out.println("Running testcase : " + index);
			int surprises = 0;
			int count = 0;
			//-----------
			Scanner temp = new Scanner(scan.nextLine());
			int N = temp.nextInt();
			int S = temp.nextInt();
			int p = temp.nextInt();
			int scores[] = new int[N];
			Integer triplet[][] = new Integer[N][3];
			map = new HashMap<Integer, List<Integer>>();
			
			for(int i =0; i < N; i++){
				scores[i] = temp.nextInt();
				int j = scores[i] / 3;
				triplet[i][0] = j + scores[i] % 3;
				if(triplet[i][0] <= 10)
					triplet[i][1] = triplet[i][2] = j;
				else{
					triplet[i][0] = 10;
					triplet[i][1] = j;
					triplet[i][2] = j+1;
				}			
				
				
				
				int min = (int) Collections.min(Arrays.asList(triplet[i]));
				int max = (int) Collections.max(Arrays.asList(triplet[i]));
				
				Arrays.sort(triplet[i]);
				if(triplet[i][2] < p)
					if(max - min == 0 && max != 0){
						triplet[i][0]--;
						triplet[i][2]++;
				}
				
				List<Integer> l = map.get(triplet[i][2]);
				if(l == null)
					l = new ArrayList<Integer>();
				
				l.add(i);
				map.put(triplet[i][2], l);
				
				if(triplet[i][2] - triplet[i][0] == 2){
					surprises++;
				}
			}
			
			Object keys[] = map.keySet().toArray();
			Arrays.sort(keys);
			int m = 0; int n = p;
			while((m = Arrays.binarySearch(keys, n++)) < 0 && n <= 10);
			int r = m;
			for(; m < keys.length && m >= 0; m++)
				count += map.get(((Integer) keys[m])).size();
			
			if(surprises > S){
				
				int diff = surprises - S;
				int j = 0, k = 0;
				while(j < diff && ((Integer) keys[k]) < p){
					//j += map.get(((Integer) keys[k++])).size();
					List<Integer> t = map.get(((Integer) keys[k++]));
					int u = t.size();
					while(--u >= 0){
						int v = t.get(u);
						Arrays.sort(triplet[v]);
						if(triplet[v][2] - triplet[v][0] == 2)
							j++;
						if(j == diff)
							break;
					}
				}
				
				if(k < keys.length && ((Integer) keys[k]) >= p){
					//count -= (diff - j);
					int un = diff - j;
					int s = keys.length - 1;
					while(un > 0){
						List<Integer> l =  map.get(((Integer) keys[s--]));
					
						int q = 0;
						while(q < l.size()){
							int o = l.get(q++);
							if(triplet[o][2] - triplet[o][0] == 2){
								triplet[o][2]--;
								triplet[o][0]++;
								Arrays.sort(triplet[o]);
								if(triplet[o][2] < p){
									count--;
								}
								un--;
								if(un == 0)
									break;
							}
						}
					}
				}
					
			}
			
			else if(surprises < S){
				
				
//				while(surprises < S){
//					List<Integer> l =  map.get(((Integer) keys[r++]));
//				
//					int q = 0;
//					while(q < l.size()){
//						int o = l.get(q++);
//						Arrays.sort(triplet[o]);
//						
//						if(triplet[o][2] - triplet[o][0] < 2 && triplet[o][2] <10){
//							triplet[o][2]++;
//							triplet[o][0]--;
//							surprises++;
//						}
//					
//						if(triplet[o][2] < p){
//							count--;
//						}
//						
//						if(surprises == S)
//							break;
//						
//					}
//				}			
//				
				
				
			}
			
			
			
		
			//------------
			
			
			outputStr = "Case #" + index + ": " + 			count;
			
			writer.println(outputStr);
			
			result = "";
			outputStr = "";
			index++;
			
		}

		scan.close();
		writer.close();
		
	}
	
	
	
	static void setApart(Integer [] arr){

	}
	

	
	public static void main(String[] args) throws Exception {
		
		Scanner in = new Scanner(System.in);
		String className = B.class.getSimpleName() ;
		int choice = 0;
		
		do{
				
			System.out.println("Enter your choice :");
			System.out.println("1) Solve small");
			System.out.println("2) Solve large");
			System.out.print("Choice : ");
			choice = in.nextInt();
			
		switch(choice){
			case 1 :
				scan = new Scanner(new File(className + "-small-practice.in"));
				writer = new PrintWriter(new BufferedWriter(new FileWriter(new File(className +"small.txt"))));
				readProcessOutput();
				System.out.println("Solved successfully!\n"); 
				break;
			case 2 :
				scan = new Scanner(new File(className + "-large-practice.in"));
				writer = new PrintWriter(new BufferedWriter(new FileWriter(new File(className +"large.txt"))));
				readProcessOutput();
				System.out.println("Solved successfully!\n"); 
				break;
		}
		
		
		}while (choice != 0);
		
		System.out.println("Program finished!");
		
	}
}
