/**
 * 
 */
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.BufferedReader;
import java.io.BufferedWriter;
import java.io.File;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.util.Arrays;
import java.util.LinkedHashSet;
import java.util.Map;
import java.util.TreeMap;

public class Gcj2 {
	private static Map<Integer, LinkedHashSet<Triplet>> pointsTripletMap = new TreeMap<Integer, LinkedHashSet<Triplet>>();

	private static void loadPointsTripletMap() {
		for (int i = 0; i <= 30; i++) {
			pointsTripletMap.put(Integer.valueOf(i),
					new LinkedHashSet<Triplet>());
		}

		for (int a = 0; a <= 10; a++) {
			for (int b = 0; b <= 10; b++) {
				for (int c = 0; c <= 10; c++) {
					try {
						int pointsSum= a + b + c;
						Triplet triplet = new Triplet(a,b,c);
						pointsTripletMap.get(Integer.valueOf(pointsSum)).add(
								triplet);
					} catch (NotValidTripletRuntimeException ex) {
						//bad practice! 
					}
				}
			}
		}
	}

	static {
		loadPointsTripletMap();
		System.out.println(pointsTripletMap);
	}

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		String input = args[0];
		String output = args[1];

		try {
			File fileInput = new File(input);
			System.out.println(fileInput.getAbsolutePath());
			FileReader fr = new FileReader(fileInput);
			BufferedReader br = new BufferedReader(fr);

			File fileOutput = new File(output);
			FileWriter fw = new FileWriter(fileOutput);
			BufferedWriter bw = new BufferedWriter(fw);

			String numberOfCases = br.readLine();
			Integer n = Integer.parseInt(numberOfCases.trim());

			for (int i = 0; i < n; i++) {
				int result = 0;
				String line = br.readLine();
				String[] lineArgs = line.split(" ");
				int googlers = Integer.parseInt(lineArgs[0]);
				int surprisingTriplets = Integer.parseInt(lineArgs[1]);
				int pointsNumberMin = Integer.parseInt(lineArgs[2]);

				int[] googlersResults = new int[lineArgs.length - 3];
				for (int m = 3; m < lineArgs.length; m++) {
					int mGooglerResult = Integer.parseInt(lineArgs[m]);
					googlersResults[m - 3] = mGooglerResult;
				}

				Arrays.sort(googlersResults);

				for (int m = 0; m < googlersResults.length; m++) {
					LinkedHashSet<Triplet> triplets = pointsTripletMap
							.get(Integer.valueOf(googlersResults[m]));

					Triplet choosenTriplet = null;
					for (Triplet triplet : triplets) {
						if (triplet.getC() >= pointsNumberMin) {
							if (choosenTriplet == null) {
								choosenTriplet = triplet;
							} else if (choosenTriplet.isSurprising()
									&& !triplet.isSurprising()) {
								choosenTriplet = triplet;
							}
						}
					}

					if (choosenTriplet != null) {
						if (!choosenTriplet.isSurprising()) {
							result++;
						} else if (surprisingTriplets > 0) {
							result++;
							surprisingTriplets--;
						}
					}
				}

				String msg = "Case #" + (i + 1) + ": " + result;
				System.out.println(msg);
				if (i > 0) {
					bw.newLine();
				}
				bw.write(msg);

			}

			bw.flush();
			bw.close();
			br.close();
		} catch (IOException e) {
			e.printStackTrace();
		}

	}
}

class Triplet {
	private final int pointsA, pointsB, pointsC;


	public Triplet(int pointsA, int pointsB, int pointsC) {
		int[] ints = new int[3];
		ints[0] = pointsA;
		ints[1] = pointsB;
		ints[2] = pointsC;

		Arrays.sort(ints);

		if (ints[2] - ints[0] > 2) {
			throw new NotValidTripletRuntimeException(
					"Points in triplet can't vary more than 2 points!");
		}

		this.pointsA = ints[0];
		this.pointsB = ints[1];
		this.pointsC = ints[2];
	}

	boolean isSurprising() {
		if (pointsC - pointsA > 1) {
			return true;
		} else {
			return false;
		}
	}

	public int getA() {
		return pointsA;
	}

	public int getB() {
		return pointsB;
	}

	public int getC() {
		return pointsC;
	}

	private int[] getMinMax(int... ints){
		int[] minMax = new int[2];
		minMax[0]=10;
		minMax[1]=0;
		for (int i : ints) {
			minMax[0] = Math.min(minMax[0], i);
			minMax[1] = Math.max(minMax[1], i);
		}
		return minMax;
	}

	@Override
	public int hashCode() {
		// Using Joshua Bloch's recipe:
		int result = 17;
		result = 37 * result + pointsA;
		result = 37 * result + pointsB;
		result = 37 * result + pointsC;
		return result;
	}

	@Override
	public boolean equals(Object obj) {
		if (obj == null) {
			return false;
		}
		if (obj instanceof Triplet) {
			Triplet triplet = (Triplet) obj;
			if (this.getA() == triplet.getA() && this.getB() == triplet.getB()
					&& this.getC() == triplet.getC()) {
				return true;
			}
		}

		return false;
	}

	@Override
	public String toString() {
		return "" + pointsA + "," + pointsB + "," + pointsC;
	}
}

class NotValidTripletRuntimeException extends RuntimeException {
	private static final long serialVersionUID = 1L;

	public NotValidTripletRuntimeException(String message) {
		super(message);
	}

}

