/**
 * 
 */
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);
    }
}

/**
 * 
 */
package me.adrabi.codejam;

import java.io.BufferedReader;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.List;

/**
 * @author Adrabi Abderrahim, z3vil
 *
 */
public class P2
{
	
	private static int SURPRISING = 0;
	
	public static void main(String[]$) throws NumberFormatException, IOException
	{
		List<String> dancers = new ArrayList<String>();
		{
			BufferedReader reader = new BufferedReader( new InputStreamReader(new FileInputStream("p2")));
			int count = Integer.parseInt(reader.readLine());
			
			String line = null;
			while((line = reader.readLine()) != null)
			{
				dancers.add(line);
			}
		}
		
		int currentLine = 1;
		for(String line : dancers)
		{
			String elements[] = line.split(" ");
			// 0 - number of dancers
			// 1 - Surprise
			// 2 - score
			final int score = Integer.parseInt(elements[2]);
			
			int currentScoreAccepted = 0;
			
			//System.out.print(line+ "\t\t");
			
			for(int index = 3 ; index < elements.length; index++)
			{
				int surp = Integer.parseInt(elements[1]);
				int scorces[] = calcNumber(Integer.parseInt(elements[index]) , surp > 0 && surp > SURPRISING, score);
				for(int tmp : scorces)
				{
					if(tmp >= score)
					{
						currentScoreAccepted++;
						break;
					}
				}
			}
			
			SURPRISING = 0;
			System.out.printf("Case #%d: %d\n", currentLine++ , currentScoreAccepted, score);
		}
	}
	
	public static int[] calcNumber(int number, boolean isSuprising, int score)
	{
		
		if(number == 0)
		{
			return new int[]{0, 0, 0};
		}
		else 
		{
			int pass = 0;
			boolean change = false;
			while((pass < 3 || !change) || (pass > -3 && change))
			{
				int part1 = -1;
				int part2 = -1;
				int part3 = -1;
				
				if(number > 3)
				{
					part1 = number/2 - (isSuprising? ( number % 2 == 0 ? 2 : 1) : 0);
					part2 = part1/2  - pass;
					part3 = -1;
					
					if(part1 + part2 > 20)
					{
						part2 = 20 - part1;
					}
					else if((part1 + part2) % 2 == 1)
					{
						part2--;
					}
					part1 += part2;
					for(int bruteForce = 10; bruteForce > 0; bruteForce--)
					{
						int tmp = Math.abs((part1/2) - bruteForce);
						boolean active = false;
						if(part1 + bruteForce == number && (tmp == 1 || tmp == 0 || ( tmp == 2 && (active = isSuprising))))
						{
							if(active)
							{
								SURPRISING++;
							}
							part3 = bruteForce;
							break;
						}
					}
				}
				else
				{
					part1 = part2 = part3 = 0;
					change = true;
					pass = -4;
				}
				
				if(part3 > -1)
				{
					int x = part1/2, y = part1/2, z = part3;
					
					if(number == 1)
					{
						x = 1;
						y = 0;
						z = 0;
					}
					else if(number == 2)
					{
						x = 1;
						y = 1;
						z = 0;
					}
					else if(number == 3)
					{
						x = 1;
						y = 1;
						z = 1;
					}
					
					if( (x < score && y < score && z < score) && isSuprising)
					{
						if(z + 1 <= 10 && z + 1 >= score)
						{
							if( x - 1 < y && y < z + 1 && Math.abs((x - 1) - y) <= 1 && Math.abs((x-1) - (z+1)) <= 2)
							{
								SURPRISING++;
								//System.out.printf("(%d, %d, %d)", x -1 , y, z + 1);
								return new int[]{x -1 , y, z + 1};
							}
							else if( y - 1 < x && x < z + 1 && Math.abs(x - (y-1)) <= 1 && Math.abs((z+1) - (y-1)) <= 2)
							{
								SURPRISING++;
								//System.out.printf("(%d, %d, %d)", x , y - 1, z + 1);
								return new int[]{x , y - 1, z + 1};
							}
							else
							{
								//System.out.printf("(%d, %d, %d)", x , y, z);
								return new int[]{ x , y, z};
							}
						}
						else if(z + 2 <= 10 && z + 2 >= score && x == y && Math.abs((z + 2) - (y - 1)) == 2)
						{
							SURPRISING++;
							//System.out.printf("(%d, %d, %d)", x - 1 , y - 1, z + 2);
							return new int[]{x + 1 , y - 1, z + 2};
						}
						else
						{
							//System.out.printf("(%d, %d, %d)", x, y, z);
							return new int[]{ x , y, z};
						}
					}
					else
					{
						//System.out.printf("(%d, %d, %d)", x, y, z);
						return new int[]{ x , y, z};
					}
				}
				else
				{
					if(change)
					{
						pass--;
					}
					else
					{
						pass++;
					}
					if(pass >= 3)
					{
						change = true;
						pass = -1;
					}
				}
			}
		}
		return new int[]{ -1 , -1, -1};
	}
}
