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


public class Dancing_improved {
	
	static int f_Superan_limites(String params){
		  int superan_limite=0;
		  String[] parametros=params.split(" ");
		  
		  int n_participantes= Integer.parseInt(parametros[0]);
		  int n_sorprendidos= Integer.parseInt(parametros[1]);
		  int nota_limite= Integer.parseInt(parametros[2]);
		  
		  int suma_notas, resto, nota_juego;
		  for(int i=3;i<parametros.length;i++){ // Recorro las sumas de los participantes
			  
			  suma_notas=Integer.parseInt(parametros[i]);
			  resto=suma_notas%3;
			  
			  if(resto==0){ // el resto es el número triplicado!
				  nota_juego=suma_notas/3;
				  if(nota_juego>=nota_limite){
					  superan_limite++;
				  }else if(nota_juego-1>=0 && n_sorprendidos>0 && ((nota_juego+1)>=nota_limite || (nota_juego+2)>=nota_limite)){ // no supera el límite pero podría hacerlo si quedan sorprendidos
					  n_sorprendidos--;
					  superan_limite++;
				  }
			  }else if((suma_notas+1)%3==0){ // Tendré que jugar con el valor en +-1
				  nota_juego=(suma_notas+1)/3;
				  if(nota_juego-1>=0 && nota_juego>=nota_limite){
					  superan_limite++;
				  }else if(nota_juego-1>=0 && n_sorprendidos>0 && (nota_juego+1)>=nota_limite){
					  n_sorprendidos--;
					  superan_limite++;
				  }
			  }else if((suma_notas+2)%3==0){ // Tendré que jugar con el valor en +-2
				  nota_juego=(suma_notas+2)/3;
				  if(nota_juego-1>=0 && nota_juego>=nota_limite){
					  superan_limite++;
				  }		  
			  }			  
		  }
		  return superan_limite;
	}
	
	public static void main(String[] args) throws IOException {
		FileReader fr = new FileReader(args[0]);
		BufferedReader bf = new BufferedReader(fr);
		int ntest=0;
		
		FileWriter fstream = new FileWriter("out.txt");
		BufferedWriter out = new BufferedWriter(fstream);
		
		String lines = bf.readLine();
		String liner, linew;
		int lines_r=0;
		String[] numbers;
		int total;
		
		while((liner = bf.readLine())!=null && lines_r<=Integer.parseInt(lines)) {
			ntest++;
			numbers=liner.split(" ");
			total=f_Superan_limites(liner);
			linew="Case #"+ntest+": "+total+"\n";
			out.write(linew);
			lines_r++;
		}
		out.close();
		fr.close();
	}
}

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!");
	}

}
