package template;

import java.util.ArrayList;
import java.util.Map;
import java.util.HashMap;

public class TestCase {

    private boolean isSolved;
    private Object solution;
    private Map<String, Integer> intProperties;
    private Map<String, ArrayList<Integer>> intArrayProperties;
    private Map<String, ArrayList<ArrayList<Integer>>> intArray2DProperties;
    private Map<String, Double> doubleProperties;
    private Map<String, ArrayList<Double>> doubleArrayProperties;
    private Map<String, ArrayList<ArrayList<Double>>> doubleArray2DProperties;
    private Map<String, String> stringProperties;
    private Map<String, ArrayList<String>> stringArrayProperties;
    private Map<String, ArrayList<ArrayList<String>>> stringArray2DProperties;
    private Map<String, Boolean> booleanProperties;
    private Map<String, ArrayList<Boolean>> booleanArrayProperties;
    private Map<String, ArrayList<ArrayList<Boolean>>> booleanArray2DProperties;
    private Map<String, Long> longProperties;
    private Map<String, ArrayList<Long>> longArrayProperties;
    private Map<String, ArrayList<ArrayList<Long>>> longArray2DProperties;
    private int ref;
    private double time;

    public TestCase() {
        initialise();
    }

    private void initialise() {
        isSolved = false;
        intProperties = new HashMap<>();
        intArrayProperties = new HashMap<>();
        intArray2DProperties = new HashMap<>();
        doubleProperties = new HashMap<>();
        doubleArrayProperties = new HashMap<>();
        doubleArray2DProperties = new HashMap<>();
        stringProperties = new HashMap<>();
        stringArrayProperties = new HashMap<>();
        stringArray2DProperties = new HashMap<>();
        booleanProperties = new HashMap<>();
        booleanArrayProperties = new HashMap<>();
        booleanArray2DProperties = new HashMap<>();
        longProperties = new HashMap<>();
        longArrayProperties = new HashMap<>();
        longArray2DProperties = new HashMap<>();
        ref = 0;
    }

    public void setSolution(Object o) {
        solution = o;
        isSolved = true;
    }
    
    public Object getSolution() {
        if (!isSolved) {
            Utils.die("getSolution on unsolved testcase");
        }

        return solution;
    }

    public void setRef(int i) {
        ref = i;
    }
    public int getRef() {
        return ref;
    }

    public void setTime(double d) {
        time = d;
    }
    public double getTime() {
        return time;
    }
    
    public void setInteger(String s, Integer i) {
        intProperties.put(s, i);
    }
    
    public Integer getInteger(String s) {
        return intProperties.get(s);
    }

    public void setIntegerList(String s, ArrayList<Integer> l) {
        intArrayProperties.put(s, l);
    }

    public void setIntegerMatrix(String s, ArrayList<ArrayList<Integer>> l) {
        intArray2DProperties.put(s, l);
    }

    public ArrayList<Integer> getIntegerList(String s) {
        return intArrayProperties.get(s);
    }

    public Integer getIntegerListItem(String s, int i) {
        return intArrayProperties.get(s).get(i);
    }

    public ArrayList<ArrayList<Integer>> getIntegerMatrix(String s) {
        return intArray2DProperties.get(s);
    }
    
    public ArrayList<Integer> getIntegerMatrixRow(String s, int row) {
        return intArray2DProperties.get(s).get(row);
    }
    
    public Integer getIntegerMatrixItem(String s, int row, int column) {
        return intArray2DProperties.get(s).get(row).get(column);
    }

    public ArrayList<Integer> getIntegerMatrixColumn(String s, int column) {
        ArrayList<Integer> out = new ArrayList();
        
        for(ArrayList<Integer> row : intArray2DProperties.get(s)) {
            out.add(row.get(column));
        }
        return out;
    }


    public void setDouble(String s, Double i) {
        doubleProperties.put(s, i);
    }
    
    public Double getDouble(String s) {
        return doubleProperties.get(s);
    }

    public void setDoubleList(String s, ArrayList<Double> l) {
        doubleArrayProperties.put(s, l);
    }

    public void setDoubleMatrix(String s, ArrayList<ArrayList<Double>> l) {
        doubleArray2DProperties.put(s, l);
    }

    public ArrayList<Double> getDoubleList(String s) {
        return doubleArrayProperties.get(s);
    }

    public Double getDoubleListItem(String s, int i) {
        return doubleArrayProperties.get(s).get(i);
    }

    public ArrayList<ArrayList<Double>> getDoubleMatrix(String s) {
        return doubleArray2DProperties.get(s);
    }
    
    public ArrayList<Double> getDoubleMatrixRow(String s, int row) {
        return doubleArray2DProperties.get(s).get(row);
    }
    
    public Double getDoubleMatrixItem(String s, int row, int column) {
        return doubleArray2DProperties.get(s).get(row).get(column);
    }

    public ArrayList<Double> getDoubleMatrixColumn(String s, int column) {
        ArrayList<Double> out = new ArrayList();
        
        for(ArrayList<Double> row : doubleArray2DProperties.get(s)) {
            out.add(row.get(column));
        }
        return out;
    }

    
    public void setString(String s, String t) {
        stringProperties.put(s, t);
    }
    
    public String getString(String s) {
        return stringProperties.get(s);
    }

    public void setStringList(String s, ArrayList<String> l) {
        stringArrayProperties.put(s, l);
    }

    public void setStringMatrix(String s, ArrayList<ArrayList<String>> l) {
        stringArray2DProperties.put(s, l);
    }

    public ArrayList<String> getStringList(String s) {
        return stringArrayProperties.get(s);
    }

    public String getStringListItem(String s, int i) {
        return stringArrayProperties.get(s).get(i);
    }

    public ArrayList<ArrayList<String>> getStringMatrix(String s) {
        return stringArray2DProperties.get(s);
    }
    
    public ArrayList<String> getStringMatrixRow(String s, int row) {
        return stringArray2DProperties.get(s).get(row);
    }
    
    public String getStringMatrixItem(String s, int row, int column) {
        return stringArray2DProperties.get(s).get(row).get(column);
    }

    public ArrayList<String> getStringMatrixColumn(String s, int column) {
        ArrayList<String> out = new ArrayList();
        
        for(ArrayList<String> row : stringArray2DProperties.get(s)) {
            out.add(row.get(column));
        }
        return out;
    }

    
    public void setBoolean(String s, Boolean b) {
        booleanProperties.put(s, b);
    }
    
    public Boolean getBoolean(String s) {
        return booleanProperties.get(s);
    }

    public void setBooleanList(String s, ArrayList<Boolean> l) {
        booleanArrayProperties.put(s, l);
    }

    public void setBooleanMatrix(String s, ArrayList<ArrayList<Boolean>> l) {
        booleanArray2DProperties.put(s, l);
    }

    public ArrayList<Boolean> getBooleanList(String s) {
        return booleanArrayProperties.get(s);
    }

    public Boolean getBooleanListItem(String s, int i) {
        return booleanArrayProperties.get(s).get(i);
    }

    public ArrayList<ArrayList<Boolean>> getBooleanMatrix(String s) {
        return booleanArray2DProperties.get(s);
    }
    
    public ArrayList<Boolean> getBooleanMatrixRow(String s, int row) {
        return booleanArray2DProperties.get(s).get(row);
    }
    
    public Boolean getBooleanMatrixItem(String s, int row, int column) {
        return booleanArray2DProperties.get(s).get(row).get(column);
    }

    public ArrayList<Boolean> getBooleanMatrixColumn(String s, int column) {
        ArrayList<Boolean> out = new ArrayList();
        
        for(ArrayList<Boolean> row : booleanArray2DProperties.get(s)) {
            out.add(row.get(column));
        }
        return out;
    }

    public void setLong(String s, Long b) {
        longProperties.put(s, b);
    }
    
    public Long getLong(String s) {
        return longProperties.get(s);
    }

    public void setLongList(String s, ArrayList<Long> l) {
        longArrayProperties.put(s, l);
    }

    public void setLongMatrix(String s, ArrayList<ArrayList<Long>> l) {
        longArray2DProperties.put(s, l);
    }

    public ArrayList<Long> getLongList(String s) {
        return longArrayProperties.get(s);
    }

    public Long getLongListItem(String s, int i) {
        return longArrayProperties.get(s).get(i);
    }

    public ArrayList<ArrayList<Long>> getLongMatrix(String s) {
        return longArray2DProperties.get(s);
    }
    
    public ArrayList<Long> getLongMatrixRow(String s, int row) {
        return longArray2DProperties.get(s).get(row);
    }
    
    public Long getLongMatrixItem(String s, int row, int column) {
        return longArray2DProperties.get(s).get(row).get(column);
    }

    public ArrayList<Long> getLongMatrixColumn(String s, int column) {
        ArrayList<Long> out = new ArrayList();
        
        for(ArrayList<Long> row : longArray2DProperties.get(s)) {
            out.add(row.get(column));
        }
        return out;
    }

    

    


}

package luis.miguel.serrano.utilities;

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

import luis.miguel.serrano.settings.GlobalSettings;

/**
 * Data class for processing input and generating output
 * @author Luis Miguel Serrano
 *
 */
public class DataB {

	private File inputFile;
	private File outputFile;

	public DataB(String inputFilePath, String outputFilePath) {
		this.inputFile = new File(inputFilePath);
		outputFile = new File(outputFilePath);
	}

	public DataB(File inputFile) {
		this.inputFile = inputFile;
		outputFile = new File(GlobalSettings.OUTPUT_FILE_PATH);
	}

	/**
	 * Processes the file passed as argument in the constructor
	 * @throws FileNotFoundException
	 */
	public void processFile() throws FileNotFoundException {
		if(outputFile.exists())
			outputFile.delete();

		Scanner scanner = new Scanner(inputFile);

		final int casesNumber = scanner.nextInt();
		scanner.nextLine();

		for(int i = 0; i!=casesNumber; ++i)
			processCase(scanner, i);

		System.out.println("Done processing file: "+inputFile);
	}

	//Format-specific
	private void processCase(Scanner scanner, int caseNumber) {
		//System.out.println("New Case");
		int numberGooglers = scanner.nextInt();
		int numberSurprisingTripletScores = scanner.nextInt();
		int p = scanner.nextInt();
		int[] totalScores = new int[numberGooglers];
		for(int i = 0; i!=numberGooglers; ++i)
			totalScores[i] = scanner.nextInt();


		int solution;
		solution = getSolution(numberGooglers, numberSurprisingTripletScores, p, totalScores);

		//Write solution to file
		try {
			FileWriter fw = new FileWriter(outputFile, true);
			fw.write("Case #"+(caseNumber+1)+": "+solution+"\r\n");	
			fw.flush();
			fw.close();
		} catch (IOException e) {
			e.printStackTrace();
		}	
	}

	//Problem-specific
	private int getSolution(int numberGooglers, int numberSurprisingTripletScores, int p, int[] totalScores){
		int solution = 0;

		int[][] triplets = new int[numberGooglers][3];

		//Generate Score Triplets
		int surprisingTripletsRemaining = numberSurprisingTripletScores;
		for(int i = 0; i!= triplets.length; ++i) {
			int baseValue = totalScores[i]/3;
			int rest = totalScores[i]%3;

			if(rest == 2)
			{
				int max = baseValue+2;

				//If it is "worth it" spending one surprising triplet to make this one count for "the most"
				if(p == max && surprisingTripletsRemaining != 0)
					--surprisingTripletsRemaining;
				else {
					++baseValue;
					rest -= 3;
				}
			}

			for(int j = 0; j!=triplets[i].length; ++j){
				if(j == 0) {
					triplets[i][j] = baseValue+rest;
				}				
				else {
					triplets[i][j] = baseValue;
				}					
			}

			//Integrity Check
			int total = 0;
			for(int j = 0; j!=triplets[i].length; ++j)
				total += triplets[i][j];
			if(total != totalScores[i])
				System.out.println("Total Scores Mismatch ERROR!");
		}


		//If there are remaining triplets to spend, try to spend them in cases in which rest was = 0
		for(int i = 0; i!=triplets.length; ++i)
			if(surprisingTripletsRemaining != 0){
				if(triplets[i][0] == triplets[i][1] && triplets[i][0] == triplets[i][2] && triplets[i][0] + 1 == p && triplets[i][0] != 0) {
					triplets[i][0] += 1;
					triplets[i][1] -= 1;
					--surprisingTripletsRemaining;
				}
			}
			else
				break;



//		//Print (DEBUG)
//		for(int i = 0; i!=triplets.length; ++i)
//			for(int j = 0; j!= triplets[i].length; ++j)
//				System.out.println("triplets["+i+"]["+j+"] = "+triplets[i][j]);

		//Find solution
		for(int i = 0; i!=triplets.length; ++i){
			for(int j = 0; j!= triplets[i].length; ++j)
			{
				if(triplets[i][j] >= p){
					++solution;
					break;
				}					
			}
		}

		return solution;
	}


	/**
	 * @param args
	 */
	public static void main(String[] args) {

		//DataB dataSample = new DataB(GlobalSettings.PROJECT_PATH+"\\input\\input_sample.in", GlobalSettings.PROJECT_PATH+"\\output\\input_sample.out");
		DataB dataSmall = new DataB(GlobalSettings.PROJECT_PATH+"\\input\\B-small-attempt0.in", GlobalSettings.PROJECT_PATH+"\\output\\B-small-attempt0.out");
		//Data dataLarge = new Data(GlobalSettings.PROJECT_PATH+"\\input\\A-large-practice.in", GlobalSettings.PROJECT_PATH+"\\output\\A-large-practice.out");

		try {
			//dataSample.processFile();
			dataSmall.processFile();
			//dataLarge.processFile();
		} catch (FileNotFoundException e) {
			e.printStackTrace();
		}

		System.out.println("Finished processing all input!");
	}

}
