package CodeJam.c2012.clasificacion;

import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;

/**
 * Problem
 *
 * You're watching a show where Googlers (employees of Google) dance, and then
 * each dancer is given a triplet of scores by three judges. Each triplet of
 * scores consists of three integer scores from 0 to 10 inclusive. The judges
 * have very similar standards, so it's surprising if a triplet of scores
 * contains two scores that are 2 apart. No triplet of scores contains scores
 * that are more than 2 apart.
 *
 * For example: (8, 8, 8) and (7, 8, 7) are not surprising. (6, 7, 8) and (6, 8,
 * 8) are surprising. (7, 6, 9) will never happen.
 *
 * The total points for a Googler is the sum of the three scores in that
 * Googler's triplet of scores. The best result for a Googler is the maximum of
 * the three scores in that Googler's triplet of scores. Given the total points
 * for each Googler, as well as the number of surprising triplets of scores,
 * what is the maximum number of Googlers that could have had a best result of
 * at least p?
 *
 * For example, suppose there were 6 Googlers, and they had the following total
 * points: 29, 20, 8, 18, 18, 21. You remember that there were 2 surprising
 * triplets of scores, and you want to know how many Googlers could have gotten
 * a best result of 8 or better.
 *
 * With those total points, and knowing that two of the triplets were
 * surprising, the triplets of scores could have been:
 *
 * 10 9 10 6 6 8 (*) 2 3 3 6 6 6 6 6 6 6 7 8 (*)
 *
 * The cases marked with a (*) are the surprising cases. This gives us 3
 * Googlers who got at least one score of 8 or better. There's no series of
 * triplets of scores that would give us a higher number than 3, so the answer
 * is 3.
 *
 * Input
 *
 * The first line of the input gives the number of test cases, T. T test cases
 * follow. Each test case consists of a single line containing integers
 * separated by single spaces. The first integer will be N, the number of
 * Googlers, and the second integer will be S, the number of surprising triplets
 * of scores. The third integer will be p, as described above. Next will be N
 * integers ti: the total points of the Googlers.
 *
 * Output
 *
 * For each test case, output one line containing "Case #x: y", where x is the
 * case number (starting from 1) and y is the maximum number of Googlers who
 * could have had a best result of greater than or equal to p.
 *
 * Limits
 *
 * 1 â¤ T â¤ 100. 0 â¤ S â¤ N. 0 â¤ p â¤ 10. 0 â¤ ti â¤ 30. At least S of the ti values
 * will be between 2 and 28, inclusive.
 *
 * Small dataset
 *
 * 1 â¤ N â¤ 3.
 *
 * Large dataset
 *
 * 1 â¤ N â¤ 100.
 *
 * Sample
 *
 * Input Output 4 Case #1: 3 3 1 5 15 13 11 Case #2: 2 3 0 8 23 22 21 Case #3: 1
 * 2 1 1 8 0 Case #4: 3 6 2 8 29 20 8 18 18 21
 *
 * @author Leandro Baena Torres
 */
public class B {

    public static void main(String[] args) throws FileNotFoundException, IOException {
        BufferedReader br = new BufferedReader(new FileReader("B.in"));
        String linea;
        int numCasos, N, S, p, t[], y, minSurprise, minNoSurprise;

        linea = br.readLine();
        numCasos = Integer.parseInt(linea);
        for (int i = 0; i < numCasos; i++) {
            linea = br.readLine();
            String[] aux = linea.split(" ");
            N = Integer.parseInt(aux[0]);
            S = Integer.parseInt(aux[1]);
            p = Integer.parseInt(aux[2]);
            t = new int[N];
            y = 0;
            minSurprise = p + ((p - 2) >= 0 ? (p - 2) : 0) + ((p - 2) >= 0 ? (p - 2) : 0);
            minNoSurprise = p + ((p - 1) >= 0 ? (p - 1) : 0) + ((p - 1) >= 0 ? (p - 1) : 0);
            for (int j = 0; j < N; j++) {
                t[j] = Integer.parseInt(aux[3 + j]);
                if (t[j] >= minNoSurprise) {
                    y++;
                } else {
                    if (t[j] >= minSurprise) {
                        if (S > 0) {
                            y++;
                            S--;
                        }
                    }
                }
            }

            System.out.println("Case #" + (i + 1) + ": " + y);
        }
    }
}

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

/**
 * 
 */

/**
 * @author Pandapotan Christian
 *
 */
public class DancingWithGooglers {
	/*
	 * Write string to a file with specified path
	 */
	public static void writeFile(String filePath, String content){
		try{
			PrintWriter out = new PrintWriter(new BufferedWriter(new FileWriter(filePath)));
			out.write(content);
			out.close();
		}
		catch(IOException e){
			e.printStackTrace();
		}
	}
	
	/*
	 * Return array that contains each lines of the input file, null if the reading process failed
	 */
	public static ArrayList<String> getLines(String filePath){
		ArrayList<String> lines = null;
		
		try{
			lines = new ArrayList<String>();
			
			String s;	    	   
		    BufferedReader in = new BufferedReader( new FileReader(filePath));
		    while ((s = in.readLine()) != null) {
		    	lines.add(s);	      
		    }	    
		    in.close();
		}catch(IOException e){
			e.printStackTrace();
		}
		
		return lines;
	}
	
	/**
	 * Replace value with the real path
	 */
	public static final String fileIn = "D:\\CodeJam\\DancingGooglers-small-attempt0.in";	
	
	/**
	 * @param args
	 */
	public static void main(String[] args) {

		//get input from file						
		ArrayList<String> lines = getLines(fileIn);
		
		//process data
		if(lines!=null){			
			System.out.println("System Start");
			long systemStart = System.currentTimeMillis();
			
			String firstLine = lines.get(0);
			int T = Integer.parseInt(firstLine);				
					
			//Main Algorithm			
			StringBuffer result = new StringBuffer();
			for(int testIdx = 1; testIdx<=T; testIdx++){	
				System.out.println("Test Case Number: "+testIdx);
				long start = System.currentTimeMillis();    										
				
				String param[] = lines.get(testIdx).split(" ");
				int N = Integer.parseInt(param[0]);
				int S = Integer.parseInt(param[1]);
				int p = Integer.parseInt(param[2]);
				int[] t = new int[N];
				for(int i=0; i<N; i++)
					t[i] = Integer.parseInt(param[i+3]);

				int maximumNumber = countMaximumNumber(t,S,p,N);
							
				long elapsedTime = System.currentTimeMillis() - start;
				System.out.println("Case #"+testIdx+" takes "+elapsedTime+"ms.");
				
				//Append the result with the previous testcase
				result.append("Case #"+testIdx+": "+ maximumNumber+"\n");
			}
			
			//write the result to a file
			String fileOut = fileIn.replace(".in", ".out");
			writeFile(fileOut, result.toString());
			
			System.out.println("SUCCESS");
			long elapsedTimeSyetem = System.currentTimeMillis() - systemStart;
			System.out.println("Time Elapsed to run whole test case: "+elapsedTimeSyetem+"ms");
				
		}			
	}
	
	public static int countMaximumNumber(int[] t, int S, int p, int N){
		int total=0;
		//1. construct possibilities
		ArrayList<ArrayList<String>> possibilities = getPossibilities();
		
		//2. traverse through loop
		for (int score : t) {
			//3. check whether have values >p,
			if(containNeededValue(possibilities.get(score), p)){
				//4. if yes check have if need surprising or not. if need, then total++ and S--
				if(needSurprising(possibilities.get(score), p)){
					if(S>0){
						total++;
						S--;
					}
				}
				//5. if yes and no need surprising then only total++
				else
					total++;
			}					
		}
		
		return total;
	}
	
	public static ArrayList<ArrayList<String>> getPossibilities(){		
		ArrayList<ArrayList<String>> result = new ArrayList<ArrayList<String>>();
		
		for(int number = 0; number<=30; number++){
			ArrayList<String> possibilities = new ArrayList<String>();
			for(int first = 0; first<=10; first++)
				for(int second = 0; second<=10; second++)
					for(int third = 0; third<=10; third++){
						if((first+second+third==number) && !(Math.abs(first-second)>2 || Math.abs(first-third)>2 || Math.abs(second-third)>2))
							possibilities.add(first+" "+second+" "+third+ (isSurprising(first, second, third)?" S":"") );
					}
			result.add(possibilities);
		}
		
		return result;
	}
	
	public static boolean isSurprising(int first, int second, int third){
		return Math.abs(first-second)==2 || Math.abs(first-third)==2 || Math.abs(second-third)==2;
	}
	
	public static boolean containNeededValue(ArrayList<String> list, int p){
		boolean isExist = false;
		for (String string : list) {
			String[] numbers = string.split(" ");
			isExist = (Integer.parseInt(numbers[0])>=p || Integer.parseInt(numbers[1])>=p || Integer.parseInt(numbers[2])>=p );
			if(isExist) break;
		}
		return isExist;
	}
	
	public static boolean needSurprising(ArrayList<String> list, int p){
		boolean noNeed = false;
		for (String string : list) {
			String[] numbers = string.split(" ");
			noNeed = (Integer.parseInt(numbers[0])>=p || Integer.parseInt(numbers[1])>=p || Integer.parseInt(numbers[2])>=p ) && !string.contains("S");
			if(noNeed) break;
		}
		return !noNeed;
	}
}
