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;
    }

    

    


}

import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.util.ArrayList;
import java.util.Scanner;

public class Googlers {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		Scanner scanner = null;
		int caseNumber = 0;
		Googlers a = new Googlers();

		try {
			scanner = new Scanner(new FileInputStream(args[0]));
			while (scanner.hasNextLine()) {

				if (caseNumber == 0) {
					scanner.nextLine();
				} else {
					String pairs = scanner.nextLine();
					String[] numbers = pairs.split(" ");

					System.out.println("Case #" + caseNumber + ": "
							+ a.resolve(numbers));
				}
				caseNumber++;
			}

		} catch (FileNotFoundException e) {
			e.printStackTrace();
		} finally {
			scanner.close();
		}

	}

	private Integer resolve(String[] data) {

		int googlersNumber = Integer.parseInt(data[0]);
		int surprices = Integer.parseInt(data[1]);
		int p = Integer.parseInt(data[2]);
		int total = 0;

		ArrayList<Integer> googlers = new ArrayList<Integer>();
		for (int i = 0; i < googlersNumber; i++) {
			googlers.add(Integer.parseInt(data[3 + i]));
		}

		// create the triadas

		ArrayList<Integer[]> scores = createTriada(googlers);

		if (surprices > 0) {
			// Count number surpricing
			Integer totalSuprising = countNumberSurprising(scores);

			if (totalSuprising == surprices) {
				// Count p
				total = countP(p, scores);

			} else {
				// Create missing surprises
				scores = createMissingSurprices(surprices - totalSuprising, p,
						scores, false);

				Integer totalSuprisingB = countNumberSurprising(scores);

				if (totalSuprisingB != surprices) {
					scores = createMissingSurprices(surprices - totalSuprising,
							p, scores, true);
				}

				// check p
				total = countP(p, scores);
			}
		} else {
			total = countP(p, scores);
		}

		return total;
	}

	private ArrayList<Integer[]> createTriada(ArrayList<Integer> g) {

		ArrayList<Integer[]> scores = new ArrayList<Integer[]>();

		for (Integer number : g) {
			Integer[] score = new Integer[3];

			for (int i = 3; i > 0; i--) {

				float resultPrecise = number / i;
				int resultInteger = number / i;
				int calification = 0;
				if (resultPrecise > resultInteger) {
					calification = resultInteger + 1;
				} else {
					calification = resultInteger;
				}
				score[i - 1] = calification;
				number = number - calification;
			}
		
			scores.add(score);
		}

		return scores;
	}

	private Boolean checkSurprising(Integer[] scores) {

		Boolean found = false;

		int a = scores[0] - scores[1];
		int b = scores[0] - scores[2];
		int c = scores[1] - scores[2];

		if (a == 2 || b == 2 || c == 2) {
			found = true;
		}

		return found;
	}

	private int countNumberSurprising(ArrayList<Integer[]> c) {

		Boolean found = false;
		int surpriseN = 0;

		for (Integer[] integers : c) {

			if (checkSurprising(integers)) {
				surpriseN++;
			}
		}

		return surpriseN;

	}

	private ArrayList<Integer[]> createMissingSurprices(int missing, int p,
			ArrayList<Integer[]> s, Boolean forced) {

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

			if (missing > 0) {

				if (!checkP(p, s.get(i)) || forced) {

					if (s.get(i)[1] > 0) {

						if ((s.get(i)[0] < p && s.get(i)[0] + 1 >= p) || forced) {
							
							Integer[] newTripleta = (Integer[])s.get(i).clone();
							newTripleta[0] = newTripleta[0]+1;
							newTripleta[1] = newTripleta[1]-1;

							if (validTripleta(newTripleta)) {
								s.set(i, newTripleta);
								missing--;
							}
						}
					}

				}
			}
		}
		return s;
	}

	private Boolean validTripleta(Integer[] scores) {
		Boolean found = true;

		int a = scores[0] - scores[1];
		int b = scores[0] - scores[2];
		int c = scores[1] - scores[2];

		if (a > 2 || b > 2 || c > 2) {
			found = false;
		}
		return found;
	}

	private Boolean checkP(int p, Integer[] scores) {

		Boolean found = false;

		for (Integer integer : scores) {
			if (integer >= p) {
				found = true;
				break;
			}
		}

		return found;
	}

	private Integer countP(int p, ArrayList<Integer[]> scores) {

		Integer total = 0;

		for (Integer[] integer : scores) {
			for (Integer integer2 : integer) {
				if (integer2 >= p) {
					total++;
					break;
				}
			}
		}

		return total;
	}

}
