import java.io.BufferedReader;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.List;

public class CodeJam {

//	public static final String INPUT_FILE_PATH = "D://CodeJamInput.txt";
	public static final String INPUT_FILE_PATH = "D://B-large.in";
	public static final String OUTPUT_FILE_PATH = "D://CodeJamOutput.txt";

	public static List<String> readInput() {
		List<String> list = new ArrayList<String>();
		try {
			BufferedReader input = new BufferedReader(new FileReader(
					INPUT_FILE_PATH));
			try {
				String line = null;

				while ((line = input.readLine()) != null) {
					list.add(line);
				}
			} finally {
				input.close();
			}
		} catch (IOException ex) {
			ex.printStackTrace();
		}
		
		return list;
	}

	public static void writeOutput(List<String> output) {
		PrintWriter writer = null;
		try {
			writer = new PrintWriter(new FileWriter(OUTPUT_FILE_PATH));
			for (String line : output) {
				writer.println(line);
			}
			writer.flush();
		} catch (IOException e) {
			e.printStackTrace();
		} finally {
			if (writer != null)
				writer.close();
		}
	}
	
	public static void main(String[] args) {
		List<DanceFloor> danceFloors = DanceFloor.parseFromFile(CodeJam.readInput());
		List<String> output = new ArrayList<String>();

		for(int i = 0; i < danceFloors.size(); i++) {
			System.out.println(danceFloors.get(i));
			String line = "";
			line += "Case #" + (i + 1) + ": " + danceFloors.get(i).calculate();
			output.add(line);
		}
		
		CodeJam.writeOutput(output);
	}
}

class DanceFloor {

	private List<Integer> tripletsTotalCounts;
	private int surpriseCount;
	private int targetScore;
	private int dancersCount;

	public DanceFloor(List<Integer> tripletsTotalCounts, int surpriseCount,
			int targetScore, int dancersCount) {
		this.tripletsTotalCounts = tripletsTotalCounts;
		this.surpriseCount = surpriseCount;
		this.targetScore = targetScore;
		this.dancersCount = dancersCount;
	}

	public int calculate() {
		int result = 0;
		
		if (targetScore == 0) return dancersCount;
		
		for (int i = 0; i < tripletsTotalCounts.size(); i++) {
			int total = tripletsTotalCounts.get(i);

			if (total < (targetScore * 3 - 4)) {
				tripletsTotalCounts.remove(i--);
			} else if (total == 0) {
				tripletsTotalCounts.remove(i--);
			}
		}
		
		for (int i = 0; i < tripletsTotalCounts.size(); i++) {
			int total = tripletsTotalCounts.get(i);

			if ((surpriseCount > 0) && (total == targetScore * 3 - 4)) {
				result++;
				surpriseCount--;
				tripletsTotalCounts.remove(i--);
			} else if ((surpriseCount == 0) && (total == targetScore * 3 - 4)) {
				tripletsTotalCounts.remove(i--);
			}
		}
		
		for (int i = 0; i < tripletsTotalCounts.size(); i++) {
			int total = tripletsTotalCounts.get(i);

			if ((surpriseCount > 0) && (total == targetScore * 3 - 3)) {
				result++;
				surpriseCount--;
				tripletsTotalCounts.remove(i--);
			} else if ((surpriseCount == 0) && (total == targetScore * 3 - 3)) {
				tripletsTotalCounts.remove(i--);
			}
		}
		
		result += tripletsTotalCounts.size();
		
		return result;
	}

	public static List<DanceFloor> parseFromFile(List<String> readInput) {
		List<DanceFloor> result = new ArrayList<DanceFloor>();
		int testCaseCount = Integer.parseInt(readInput.get(0));

		for (int i = 0; i < testCaseCount; i++) {
			String line[] = readInput.get(i + 1).split(" ");

			List<Integer> totalCounts = new ArrayList<Integer>();
			for (int j = 0; j < Integer.parseInt(line[0]); j++) {
				totalCounts.add(Integer.parseInt(line[3 + j]));
			}

			result.add(new DanceFloor(totalCounts, Integer.parseInt(line[1]),
					Integer.parseInt(line[2]), Integer.parseInt(line[0])));
		}

		return result;
	}

	@Override
	public String toString() {
		return "dancersCount = " + dancersCount + "; surpriseCount = " + surpriseCount 
								 + "; targetScore = " + targetScore + "; tripletsTotalCounts" 
								 + tripletsTotalCounts.toString();
	}
}


package com.google.codejam.googlers;

import java.util.List;

/**
 * Main class used for DancingWithGooglers.
 * @author Sushant
 */
public class DancingWithGooglers {
    /**
     * Main method from where application start execution.
     *
     * @param args String []
     */
    public static void main(final String[] args) {
        if (args.length != 1) {
            System.out.println("Problem with the command used for execution");
            System.out.println("Usage: java com.google.codejam.googlers.DancingWithGooglers <Path to input file>");
            System.exit(1);
        }

        final List<TestCase> testCases = InputReader.prepareTestCases(args[0]);
        if (testCases != null && testCases.size() != 0) {
            long startTime = System.currentTimeMillis();
            System.out.println("Test Cases execution start time " + startTime);
            for (TestCase testcase : testCases) {
                executeTestCase(testcase);
            }
            OutputRecorder.generateTestReport(testCases, args[0] + ".out");
            long endTime = System.currentTimeMillis();
            System.out.print("Test cases execution end time " + endTime);
            System.out.println("Total Execution Time " + (endTime - startTime) + " milliseconds");
        }

    }

    /**
     * Method to execute test cases.
     *
     * @param testcase TestCase
     */
    private static void executeTestCase(final TestCase testcase) {
        int bestResultCount = 0;
        final int noOfGooglers = testcase.getNoOfGooglers();
        int noSurpriseScores = testcase.getNoOfurprisingTriplets();
        final int bestResult = testcase.getBestResult();
        final int[] scores = testcase.getScores();
        for (int i = 0; i < noOfGooglers; i++) {
            int[] triplets = new int[3];
            int score = scores[i];
            if(score == 0) {
               triplets[0] = triplets[1] = triplets[2] = 0; 
            } else  if (score % 3 == 0) {
                int tempScore = score / 3;
                triplets[0] = tempScore;
                if (noSurpriseScores != 0 && (Math.abs(triplets[0] - bestResult) == 1 )) {
                    triplets[1] = tempScore + 1;
                    triplets[2] = tempScore - 1;
                    noSurpriseScores = noSurpriseScores - 1;
                } else {
                    triplets[1] = tempScore;
                    triplets[2] = tempScore;
                }
            } else {
                triplets[0] = score / 3;
                int remainingScore = score - triplets[0];
                triplets[1] = remainingScore / 2;
                triplets[2] = score - (triplets[0] + triplets[1]);
                if(noSurpriseScores != 0) {
                    if((triplets[1] != 10 && triplets[2] != 10)
                            && (Math.abs(triplets[2] - bestResult)== 1)) {
                        triplets[1] = triplets[1] + 1;
                        triplets[2] = triplets[2] - 1;
                        noSurpriseScores = noSurpriseScores - 1;
                    }
                }
            }
            boolean isBest = isBestTriplet(triplets, bestResult);
            if(isBest) {
                bestResultCount = bestResultCount + 1;
            }

        }
        testcase.setOutput(new TestResult(bestResultCount));
    }

    /**
     * Method to check whether given triplet is best or not.
     * @param triplets int []
     * @param bestResult int
     * @return boolean
     */
    private static boolean isBestTriplet(final int[] triplets, final int bestResult) {
        for(int i = 0; i < triplets.length; i++) {
            if(triplets[i] >= bestResult) {
                return true;
            }
        }
        return false;
    }
}
