/**
 * 
 */
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.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.File;
import java.io.PrintStream;
import java.util.Scanner;
import java.util.Arrays;
import java.util.ArrayList;

public class Dancers{   
  public static ArrayList<Triplet> scores;
  
  public static void main(String arg[]){
    System.out.print("Enter the file path of the input file : ");
    String path = new Scanner(System.in).nextLine();
    String ANS ="", output="", test;
    int diff;
    
    try{
      Scanner read = new Scanner(new File(path));
      int testCases =  Integer.parseInt(read.nextLine());
      int cn=0; String tongue; 
      while(cn++<testCases){
        test  = read.nextLine();
        
        output = "Case #"+cn+": "+ solve(test);//WRITE ANS TO DIFFERENT FILE 
        ANS += output +" \n";
        System.out.println(ANS);
      }
      writeToFile("dancers.out",ANS);
    }
    catch(FileNotFoundException e){//if file is not found
      System.err.println("data file \'"+path+"\' was not found\nPress <enter> to exit...");
      (new Scanner(System.in)).nextLine();
      System.exit(1);
    }
  }
  
  public static void writeToFile(String file, String text){
    PrintStream out = null;
    try {
      out = new PrintStream(new FileOutputStream(file));
      out.print(text);
    }
    catch(Exception e){}
    finally {
      if (out != null) out.close();
    }   
  }
  
  public static int solve(String test){
    String temp[] = test.split(" ");
    ArrayList<Triplet> tempList = new ArrayList<Triplet>();
    Triplet[] scores;
    int dancerNo, surpriseNo, bestResult;
      
    dancerNo = Integer.parseInt(temp[0]);
    surpriseNo = Integer.parseInt(temp[1]);
    bestResult = Integer.parseInt(temp[2]);
    int counter = 0;
    
    while(counter < dancerNo){
      tempList.add(new Triplet(temp[3+counter])); 
      counter++;
    }
    
    scores = tempList.toArray(new Triplet[tempList.size()]);
    
    
    Arrays.sort(scores);
    
    scores = doTheSurprises(scores,surpriseNo, bestResult);  
    
    System.out.println(Arrays.toString(scores));
    
    return count(scores, bestResult);
  }
  
  public static Triplet[] doTheSurprises(Triplet sc[], int surprise, int max){
    Triplet temp;
    int sNo=0;
    for(int i=sc.length-1; i>=0; i--){
      if(sNo==surprise){
        break;
      }
      
      if(sc[i].scores[2]<max){
        if(sc[i].doSurprise()){
          sNo++;
        }
      }
    }    
    return sc;
  }
  
  public static int count(Triplet sc[], int max){
    int temp=0;
    for(int i=0; i<sc.length; i++){
      if(sc[i].scores[2]>=max){
        temp++;
      }
    }
    return temp;}
}

class Triplet implements Comparable<Triplet>{
  public int scores[] = new int[3];
  public Triplet(int x, int y, int z){
    scores[0]=x;
    scores[1]=y;
    scores[2]=z;
  }
  
  public Triplet(String x){setThrees(Integer.parseInt(x));}
  
  public Triplet(int x){setThrees(x);}
  
  public void setThrees(int numb){
    this.scores[0] =numb/3;
    this.scores[1] = (numb-scores[0])/2;
    this.scores[2] = numb - scores[0] - scores[1];
  } 
  
  public int compareTo(Triplet x){
    if(scores[2]<x.scores[2]){
      return -1;
    }
    else if(scores[2]>x.scores[2]){
      return 1;
    }
    else{
      return 0;
    }
    
  }
  
  public boolean doSurprise(){
    int s1 = scores[1], s2 = scores[2];
    
    if(s1 == s2){
      s1--; s2++;
      if(s1>=0 && s2<=10){
        scores[1] = s1;
        scores[2] = s2;
        return true;
      }
    }
    return false;
  }
  
  public String toString(){
    return Arrays.toString(scores);
  }
}
