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.*;
import java.util.*;

/**
 * @author: Ignat Alexeyenko
 * Date: 4/14/12
 */
public class DancingWithGooglersMain {

    public static final int MAX_LENGTH = 80;

    public static void main(String[] args) {
        DancingWithGooglersMain main = new DancingWithGooglersMain();
        main.runConsoleApp(System.in, System.out);
    }

    public void runConsoleApp(InputStream inputStream, OutputStream outputStream) {
        final String s = readLn(inputStream, MAX_LENGTH);
        Integer cases = Integer.valueOf(s);
        Writer writer = new OutputStreamWriter(outputStream);
        for (int i= 0; i < cases; i++) {
            String rawLine = readLn(inputStream, MAX_LENGTH);

            try {
                writer.write("Case #" + (i + 1) + ": " + runFunction(rawLine) + "\n");
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        try {
            writer.flush();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

    private long runFunction(String rawLine) {
        String[] edgesArr = rawLine.split(" ");

        int numOfGooglers = Integer.valueOf(edgesArr[0]);
        int surprises = Integer.valueOf(edgesArr[1]);
        int minScoreP = Integer.valueOf(edgesArr[2]);

        List<Integer> marksT = new ArrayList<Integer>(numOfGooglers);
        for (int t = 0; t < numOfGooglers; t++) {
            marksT.add(Integer.valueOf(edgesArr[t + 3]));
        }

        return caclulateAmountOfGooglersThatExceedScoreP(surprises, minScoreP, marksT);
    }

    private int caclulateAmountOfGooglersThatExceedScoreP(int surprises, int minScoreP, List<Integer> marksT) {
        Map<Integer, Set<Mark>> sumToPermutations = new HashMap<Integer, Set<Mark>>(marksT.size());

        for (Integer theSum : marksT) {
            Set<Mark> allPossiblePermutations = getAllPossiblePermutations(theSum, minScoreP);
            sumToPermutations.put(theSum, allPossiblePermutations);
        }

        int exceedsWithoutSurprises = 0;
        int exceedsOnlyWithSurprises = 0;
        for (Integer theSum : marksT) {
            Set<Mark> marksPermutations = sumToPermutations.get(theSum);
            
            boolean exceeded = false;
            boolean needSurprise = true;
            for (Mark marksPermutation : marksPermutations) {
                if (marksPermutation.exceedsScore) {
                    exceeded = true;
                    if (!marksPermutation.surprise && needSurprise) {
                        needSurprise = false;
                    }
                }
            }
            
            if (exceeded && needSurprise) {
                exceedsOnlyWithSurprises++;
            }
            if (exceeded && !needSurprise) {
                exceedsWithoutSurprises++;
            }
        }

        return exceedsWithoutSurprises + Math.min(exceedsOnlyWithSurprises, surprises);
    }

    Set<Mark> getAllPossiblePermutations(int sum, int minScoreP) {
        Set<Mark> markList = new LinkedHashSet<Mark>(5);
        final int start = Math.max(sum / 3 - 2, 0);
        final int stop = sum / 3 + 2;
        for (int i = start; i <= stop; i++) {
            for (int j = start; j <= stop; j++) {
                for (int k = start; k <= stop; k++) {
                    final int divergence = Math.abs(max(i, j, k) - min(i, j, k));
                    if ((i + j + k == sum) && divergence <= 2) {
                        boolean exceedsScore = i >= minScoreP || j >= minScoreP || k >= minScoreP;
                        markList.add(new Mark(i, j, k, divergence == 2, exceedsScore));
                    }
                }
            }
        }
        return markList;
    }

    private static int min(int a, int b, int c) {
        return Math.min(Math.min(a, b), c);
    }

    private static int max(int a, int b, int c) {
        return Math.max(Math.max(a, b), c);
    }


    private String readLn(InputStream inputStream, int maxLength) {  // utility function to read from stdin,
        // Provided by Programming-challenges, edit for style only
        byte line[] = new byte[maxLength];
        int length = 0;
        int input = -1;
        try {
            while (length < maxLength) {//Read untill maxlength
                input = inputStream.read();
                if ((input < 0) || (input == '\n')) break; //or untill end of line ninput
                line[length++] += input;
            }

            if ((input < 0) && (length == 0)) return null;  // eof
            return new String(line, 0, length);
        } catch (IOException e) {
            return null;
        }
    }

    static class Mark {
        // array represents marks, always are sorted
        private List<Integer> marks;

        private boolean surprise;
        private boolean exceedsScore;

        Mark(int m0, int m1, int m2, boolean surprise, boolean exceedsScore) {
            this.marks = new ArrayList<Integer>(3);
            this.marks.add(m1);
            this.marks.add(m0);
            this.marks.add(m2);
            this.surprise = surprise;
            this.exceedsScore = exceedsScore;
            // todo: possibly just put elements in the list in a right order
            Collections.sort(this.marks);
            Collections.reverse(this.marks);
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;

            Mark mark = (Mark) o;

            if (exceedsScore != mark.exceedsScore) return false;
            if (surprise != mark.surprise) return false;
            if (marks != null ? !marks.equals(mark.marks) : mark.marks != null) return false;

            return true;
        }

        @Override
        public int hashCode() {
            int result = marks != null ? marks.hashCode() : 0;
            result = 31 * result + (surprise ? 1 : 0);
            result = 31 * result + (exceedsScore ? 1 : 0);
            return result;
        }

        @Override
        public String toString() {
            return "Mark{" +
                    "marks=" + marks +
                    ", surprise=" + surprise +
                    ", exceedsScore=" + exceedsScore +
                    '}';
        }
    }
}
