/**
 * 
 */
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.File;
import java.io.FileNotFoundException;
import java.io.FileWriter;
import java.io.IOException;
import java.util.Scanner;

import javax.swing.JOptionPane;

public class GoogleDancers {
	public static String rootDir = System.getProperty("user.dir")
			+ File.separator;
	public static String filesDir = rootDir + "files" + File.separator;
	private FileWriter fw;
	private FileWriter fw2;

	private int tests;
	private int[] numGooglers;
	private int[] numSurprises;
	private int[] target;
	private int[][] points;

	public static void main(String[] args) {
		GoogleDancers g = new GoogleDancers();
		//g.makeTest(100);
		g.loadFile();
		g.go();
//		Compare c = new Compare();
//		try {
//			c.go("dancingAns.txt","dancingtest1Ans.txt");
//		} catch (FileNotFoundException e) {
//			e.printStackTrace();
//		}
	}

	public GoogleDancers() {

	}

	private void loadFile() {
		try {
			Scanner input = new Scanner(new File(filesDir + "dancing.txt"));
			tests = Integer.parseInt(input.nextLine());
			numGooglers = new int[tests];
			numSurprises = new int[tests];
			target = new int[tests];
			points = new int[tests][];
			Scanner line;

			for (int i = 0; i < tests; i++) {
				line = new Scanner(input.nextLine());

				numGooglers[i] = line.nextInt();
				numSurprises[i] = line.nextInt();
				target[i] = line.nextInt();
				points[i] = new int[numGooglers[i]];

				for (int j = 0; j < numGooglers[i]; j++) {
					points[i][j] = line.nextInt();
				}

			}

		} catch (FileNotFoundException e) {
			e.printStackTrace();
			System.exit(0);
		}	}
	
	private void go() {

		int s;
		int count;
		int high;
		int total;
		int[] surprises;
		int[] normals;
		boolean[] marks;
		open("dancingAns.txt");
		for (int c = 0; c < tests; c++) {
//			System.out.println("\nTEST CASE " + (c + 1));
//			System.out.println("Target is " + target[c]);
			count = 0;
			s = numSurprises[c];
			// surprises = new int[numGooglers[c]];
			// normals = new int[numGooglers[c]];

			for (int i = 0; i < numGooglers[c]; i++) {
//				System.out.println("	# Surprises = " + s);
//				System.out.println("	Total Score is " + points[c][i]);
//				System.out.println("		Best Normal Score is "
//						+ normalHigh(points[c][i]));
				if (points[c][i] == 0) {
					if (0 >= target[c])
						count++;
					continue;
				} else if (points[c][i] == 30) {
					if (10 >= target[c])
						count++;
					continue;
				}
				
				if (normalHigh(points[c][i]) >= target[c]) {
//					System.out.println("			Qualifies");
					count++;
				} else if (s > 0) {
//					System.out.println("			Does not qualify");
					if (surpriseHigh(points[c][i]) >= target[c]) {

//						System.out.println("		Best Surprise Score is "
//								+ surpriseHigh(points[c][i]));
//							System.out.println("			Qualifies");
						count++;
						s--;
							//System.out.println("# Surprises = " + s);
//							System.out.println("			Does not qualify");
					}
				}
				// System.out.println("# Qualified Scores = " + count);

				// surprises[i] = surpriseHigh(points[c][i]);
				// normals[i] = normalHigh(points[c][i]);
				//
				// if (points[c][i] == 0)
				// surprises[i] = 0;
				// else if (points[c][i] == 10)
				// surprises[i] = 10;
			}

			System.out.println("Case #" + (c + 1) + ": " + count);
			//System.out.println("		Surprises Left = " + s);
			write("Case #" + (c + 1) + ": " + count);
			if (c != tests - 1)
				write("\n");
		}
		close();
	}

	private int surpriseHigh(int score) {
		switch (score % 3) {
		case 0:
			return score / 3 + 1;
		case 1:
			return score / 3 + 1;
		case 2:
			return score / 3 + 2;
		default:
			System.out.println("Error in surpriseHigh method");
			return 0;
		}
	}

	private int normalHigh(int score) {
		switch (score % 3) {
		case 0:
			return score / 3;
		case 1:
			return score / 3 + 1;
		case 2:
			return score / 3 + 1;
		default:
			System.out.println("Error in normalHigh method");
			return 0;
		}
	}

	private void open(String fileName) {
		try {
			fw = new FileWriter(new File(filesDir + fileName));
		} catch (IOException e) {
			e.printStackTrace();
		}
	}

	private void openAnother(String fileName) {
		try {
			fw2 = new FileWriter(new File(filesDir + fileName));
		} catch (IOException e) {
			e.printStackTrace();
		}
	}
	
	private void closeOther() {
		try {
			fw2.close();
		} catch (IOException e) {
			e.printStackTrace();
		}
	}

	private void writeOther(String s) {
		try {
			fw2.write(s);
		} catch (IOException e) {
			e.printStackTrace();
		}
	}
	
	private void close() {
		try {
			fw.close();
		} catch (IOException e) {
			e.printStackTrace();
		}
	}

	private void write(String s) {
		try {
			fw.write(s);
		} catch (IOException e) {
			e.printStackTrace();
		}
	}

	private void makeTest(int numTests) {
		int maxNumGooglers = 5;
		
		open("dancingtest1.txt");
		openAnother("dancingtest1Ans.txt");
		write(numTests + "\n");
		
		int numGs;
		int numSs;
		int testTarget;
		int[][] scores;
		for (int c = 0; c < numTests; c++) {
			numGs = (int)(Math.random()*((double)maxNumGooglers) + 1.0);
			write(numGs + " ");
			print(numGs + " ");
			
			numSs = 0;
			
			testTarget = (int)(Math.random()*11.0);
			
			scores = generateScores(numGs);
			
			for (int[] s : scores) {
				if (isSurprising(s))
					numSs++;
			}
			
			write(numSs + " ");
			write(testTarget + "");
			print(numSs + " ");
			print(testTarget + "");
			
			for (int[] s : scores) {
				write(" " + (s[0]+s[1]+s[2]));
				print(" " + (s[0]+s[1]+s[2]));
			}
			
			write("\n");
			print("\n");
			
			writeOther("Case #" + (c+1) + ": " + answer(scores,testTarget,numSs));
			
			if (c != numTests-1)
				writeOther("\n");
		}
		close();
		closeOther();
	}
	
	private int answer(int[][] scores,int testTarget,int surprises) {
		int answer = 0;
		int ss = surprises;
		
		for (int[] s : scores) {
			if (s[0]+s[1]+s[2] == 0) {
				if (0 >= testTarget)
					answer++;
				continue;
			}

			if (s[0]+s[1]+s[2] == 30) {
				if (10 >= testTarget)
					answer++;
				continue;
			}
			
			if (max(s) >= testTarget)
				answer++;
			else if ((s[0]+s[1]+s[2])%3 == 0 || (s[0]+s[1]+s[2])%3 == 2) {
				if (surpriseHigh(s[0]+s[1]+s[2]) >= testTarget && (ss > 0)) {
					answer++;
					ss--;
				}
			}
		}
		return answer;
	}
	
	private int max(int[] scores) {
		int max = scores[0];
		
		if (scores[1] > max)
			max = scores[1];
		if (scores[2] > max)
			max = scores[2];
		return max;
	}
	
	private void print(String s) {
		System.out.print(s);
	}
	
	private boolean isSurprising(int[] scores) {
		return (Math.abs(scores[0] - scores[1]) == 2) || (Math.abs(scores[0] - scores[2]) == 2) || (Math.abs(scores[1] - scores[2]) == 2);
	}
	
	private int[][] generateScores(int numScores) {
		int[][] scores = new int[numScores][3];
		
		int temp;
		int temp2;
		for (int[] s : scores) {
			s[0] = (int)(Math.random() * 11.0);
			
			do {
				temp = ((int)(Math.random() * 5.0) - 2) + s[0];
			} while (temp < 0 || temp > 10);
			
			s[1] = temp;
			
			if (Math.abs(s[1]-s[0]) == 2) { // first two scores are two apart
				if (s[0] > s[1])
					temp2 = s[1];
				else temp2 = s[0];
				
				do {
					temp = (int)(Math.random()*3.0) + temp2;
				} while (temp < 0 || temp > 10);
			} else if (Math.abs(s[1]-s[0]) == 1) { // first two scores are adjacent
				if (s[0] > s[1])
					temp2 = s[1];
				else temp2 = s[0];
				
				do {
					temp = ((int)(Math.random() * 4.0)) + temp2 - 1;
				} while (temp < 0 || temp > 10);
			} else { // first two scores are equal
				do {
					temp = ((int)(Math.random() * 5.0) - 2) + s[0];
				} while (temp < 0 || temp > 10);
			}
			
			s[2] = temp;
			
			//print("[" + s[0] + " " + s[1] + " " + s[2] + "]");
		}
		
		return scores;
	}
}
