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.jagsaund.codejam.qualifcation;

import java.util.ArrayList;
import java.util.List;
import java.util.StringTokenizer;

public class DancingWithGooglers {
  private List<List<Integer>> _sets;
  private int _numOfSurprisingTriplets;
  private int _minResult;
  
  public DancingWithGooglers() {
    _sets = new ArrayList<List<Integer>>();
  }
  
  public String run(String line) {
    int[] googlers = null;
    int numOfGooglers;
    
    int pos = 0;
    
    StringTokenizer tokenizer = new StringTokenizer(line);
    
    while (tokenizer.hasMoreElements()) {
      int v = Integer.parseInt(tokenizer.nextToken());
      if (pos == 0) {
        numOfGooglers = v;
        googlers = new int[numOfGooglers];
      } else if (pos == 1) {
        _numOfSurprisingTriplets = v;
      } else if (pos == 2) {
        _minResult = v;
      } else {
        googlers[pos-3] = v;
      }
      
      pos++;
    }
    
    int count = 0;
    
    for (int number : googlers) {
      getIntegerSet(number);
      
      if (_sets.size() > 0) {
        if (_sets.size() == 1) {
          List<Integer> set = _sets.get(0);
          
          int low = Integer.MAX_VALUE;
          int high = Integer.MIN_VALUE;
          
          for (int n : set) {
            if (n < low) low = n;
            if (n > high) high = n;
          }
          
          if ((high - low) == 2 && _numOfSurprisingTriplets > 0) {
            _numOfSurprisingTriplets--;
            count++;
          } else if ((high - low) < 2) {
            count++;
          }
        
        } else {
          count++;
        }
      }
      
      
//      if (number == 0 && _minResult == 0) count++;
      
      _sets.clear();
    }
    
    return count + "";
  }
  
  private void getIntegerSet(int x) {
    getIntegerSet(x, x, new ArrayList<Integer>());
  }
  
  private void getIntegerSet(int x, int max, List<Integer> prefix) {
    if (x == 0) {
      if (prefix.size() <= 3) {
        if (prefix.size() == 2) {
          prefix.add(0);
        }
        
        if (prefix.size() == 1) {
          prefix.add(0);
          prefix.add(0);
        }
        
        if (prefix.size() == 0) {
          prefix.add(0);
          prefix.add(0);
          prefix.add(0);
        }
        
        int low = Integer.MAX_VALUE;
        int high = Integer.MIN_VALUE;
        
        for (int n : prefix) {
          if (n < low) low = n;
          if (n > high) high = n;
        }
        
        if (high >= _minResult && (high - low) <= 2 && high <= 10) {
          _sets.add(prefix);  
        }
      }
      
      return;
    }
    
    for (int i=Math.min(x, max); i>=1; i--) {
      List<Integer> tmp = new ArrayList<Integer>(prefix);
      tmp.add(i);
      getIntegerSet(x-i, i, tmp);
    }
  }
}
