package code12.qualification;

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

public class B {
	public static String solve(int N, int S, int p, int[] t) {
		
		// 3a 		-> (a, a, a), *(a - 1, a, a + 1)
		// 3a + 1	-> (a, a, a + 1), *(a - 1, a + 1, a + 1)
		// 3a + 2	-> (a, a + 1, a + 1), *(a, a, a + 2)
		
		int numPNoS = 0;
		int numPWithS = 0;
		
		for (int i = 0; i < N; i++) {
			int a = (int)Math.floor(t[i] / 3);
			int r = t[i] % 3;
			
			switch (r) {
			case 0:
				if (a >= p) {
					numPNoS++;
				} else if (a + 1 >= p && a - 1 >= 0) {
					numPWithS++;
				}
				break;
			case 1:
				if (a >= p || a + 1 >= p) {
					numPNoS++;
				}
				break;
			case 2:
				if (a >= p || a + 1 >= p) {
					numPNoS++;
				} else if (a + 2 >= p) {
					numPWithS++;
				}
				break;
			}
		}
		
		return "" + (numPNoS + Math.min(S, numPWithS));
	}

	public static void main(String[] args) throws Exception {
		// file name
		//String fileName = "Sample";
		//String fileName = "B-small";
		String fileName = "B-large";
		
		// file variable
		File inputFile = new File(fileName + ".in");
		File outputFile = new File(fileName + ".out");
		Scanner scanner = new Scanner(inputFile);
		FileWriter writer = new FileWriter(outputFile);

		// problem variable
		int totalCase;
		int N, S, p;
		int[] t;

		// get total case
		totalCase = scanner.nextInt();

		for (int caseIndex = 1; caseIndex <= totalCase; caseIndex++) {
			// get input
			N = scanner.nextInt();
			S = scanner.nextInt();
			p = scanner.nextInt();
			t = new int[N];
			
			for (int i = 0; i < N; i++) {
				t[i] = scanner.nextInt();
			}
			
			String output = "Case #" + caseIndex + ": " + solve(N, S, p, t);
			System.out.println(output);
			writer.write(output + "\n");
		}
		scanner.close();
		writer.close();
	}
}

package mgg.utils;

import java.util.ArrayList;
import java.util.HashSet;
import java.util.List;

/**
 * @author manolo
 * @date 13/04/12
 */
public class CombinatoryUtils {

	public static List<Integer> findAddingCombination(int total, 
			List<Integer> listOfNumbers) {

		ArrayList<Integer> solution = new ArrayList<Integer>();

		for (int i = 0; i < listOfNumbers.size(); i++){
			for (int j = 0; j < listOfNumbers.size(); j++){

				if( (i != j) &&
						(listOfNumbers.get(i) + listOfNumbers.get(j) == total) ){
					solution.add(listOfNumbers.get(i));
					solution.add(listOfNumbers.get(j));
					return solution;
				}

			}
		}
		return null;
	}

	public static List<Integer> findAddingCombinationIndices(int total, 
			List<Integer> listOfNumbers) {

		ArrayList<Integer> solution = new ArrayList<Integer>();

		for (int i = 0; i < listOfNumbers.size(); i++){
			for (int j = 0; j < listOfNumbers.size(); j++){

				if( (i != j) &&
						(listOfNumbers.get(i) + listOfNumbers.get(j) == total) ){
					solution.add(i);
					solution.add(j);
					return solution;
				}

			}
		}
		return null;
	}

	public static List<Integer> findAddingCombinationIndicesBase1(int total, 
			List<Integer> listOfNumbers) {

		ArrayList<Integer> solution = new ArrayList<Integer>();

		for (int i = 0; i < listOfNumbers.size(); i++){
			for (int j = 0; j < listOfNumbers.size(); j++){

				if( (i != j) &&
						(listOfNumbers.get(i) + listOfNumbers.get(j) == total) ){
					solution.add(i+1);
					solution.add(j+1);
					return solution;
				}

			}
		}
		return null;
	}

	public static List<Triplet> possibleTriplets(int score) {
		List<Triplet> listOfTriplets = new ArrayList<Triplet>();
		
		for(Triplet t : allPossibleTriplets){
			if(t.sum() == score){
				listOfTriplets.add(t);
			}
		}
		
		return listOfTriplets;
	}
	
	private final static List<Triplet> allPossibleTriplets = allPossibleTriplets();
	
	private static List<Triplet> allPossibleTriplets() {

		HashSet<Triplet> set = new HashSet<Triplet>();
		
//		int cont = 0;
		for (int i = 0; i <= 10; i++) {
			for (int j = 0; j <= 10; j++) {
				if(Math.abs(i-j) <= 2){
					for (int k = 0; k <= 10; k++) {
						if((Math.abs(i-k) <= 2) && (Math.abs(j-k) <= 2)){
//							cont++;
//							System.out.println("(" + i + ", " + j + ", " + k + ")\t\tcont = " + cont);7
							set.add(new Triplet(i, j, k));
							
						}
					}
				}
			}	
		}
		
		return new ArrayList<Triplet>(set);

	}

}
