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;
    }

    

    


}

package codejam.world2012.qualification.b;

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


public class B {
    
    private static class Triplet {
        public boolean surprising = false;
        public boolean unsurprising = false;
        
        public Triplet() {}
        
        public Triplet(boolean surprising, boolean unsurprising) {
            this.surprising = surprising;
            this.unsurprising = unsurprising;
        }
        
        @Override
        public String toString() {
            return "[ " + (surprising?"surprising":"") + " " + (unsurprising?"unsurprising":"") +  " ]";
        }
    }

    
    public static void main(String[] args) throws IOException {
        BufferedReader in = new BufferedReader(new FileReader("src/codejam/world2012/qualification/b/small.in"));
        BufferedWriter out = new BufferedWriter(new FileWriter("src/codejam/world2012/qualification/b/small.out"));
        
        HashMap<Integer, HashMap<Integer, Triplet>> matrix = new HashMap<Integer, HashMap<Integer, Triplet>>();
        
        for (int q = 0; q<=10; q++) {
            HashMap<Integer, Triplet> row = new HashMap<Integer, Triplet>();
            for (int r=0; r<31; r++) row.put(r, new Triplet(false, false));
            matrix.put(q, row);
        }
        
        for (int i = 10; i>= 0; i--) {
            for (int j=i; j >= i-2; j--) {
                if (j < 0) continue;
                
                for (int k = i; k >= i-2; k--) {
                    if (k < 0) continue;
                    
                    int ti = i+j+k;
                    
                    Triplet triplet = matrix.get(i).get(ti);
                    if (triplet == null) triplet = new Triplet();
                    
                    if ((i-j == 2) || (i-k == 2) || (j-k == 2)) {
                        // surprising
                        triplet.surprising = true;
                    } else {
                        // unsurprising
                        triplet.unsurprising = true;
                    }
                    matrix.get(i).put(ti, triplet);
                }
                
            }
        }
        
        for (int ti=0; ti<31; ti++) {
            Triplet triplet = new Triplet(false, false);
            for (int p = 10; p>= 0; p--) {
                if (matrix.get(p).get(ti).surprising) triplet.surprising = true;
                if (matrix.get(p).get(ti).unsurprising) triplet.unsurprising = true;
                matrix.get(p).put(ti, new Triplet(triplet.surprising, triplet.unsurprising));
            }
        }
        
        int T = 0;
        T = Integer.parseInt(in.readLine());
        
        for (int t = 0; t < T; t++) {
            String[] line = in.readLine().split(" ");
            
            Long N = Long.parseLong(line[0]);
            Long S = Long.parseLong(line[1]);
            Integer p = Integer.parseInt(line[2]);
            List<Integer> scoresList = new ArrayList<Integer>();
            
            Long answer = 0L;
            
            for (int i = 3; i< line.length; i++) {
                scoresList.add(Integer.parseInt(line[i]));
            }
            
            for (Integer ti : scoresList) {
                
                Triplet triplet = matrix.get(p).get(ti);
                
                if (triplet.surprising && !triplet.unsurprising) {
                    if (S > 0) {
                        answer++;
                        S--;
                    }
                } else if (triplet.unsurprising) {
                    answer++;
                }
            }
            
            out.write("Case #"+String.valueOf(t+1) +": "+answer.toString());
            if (t < T-1) out.write(System.getProperty("line.separator"));
            
            /*
            for (Long totalScore : scoresList) {
                Long diff = totalScore - p;
                Long first = Math.round((double) diff/2);
                
                if (p - first > 2) {
                    // impossible
                    continue;
                }
                
                Long second = diff - first;
                if (p - second > 2) {
                    // impossible
                    continue;
                }
                
                
            }
            
            
            for (Long totalScore : scoresList) {
                
                // ceiling
                Long ceil = Math.round(Math.ceil(totalScore/3));
                Long floor = Math.round(Math.floor(totalScore/3));
                
                if (ceil == floor) {
                    // nice
                    
                } else {
                    
                    if (ceil*3 - totalScore < 3) {
                        
                    }
                    
                    if (totalScore - floor*3 < 3) {
                        
                    }
                    
                }
                
                //System.err.println("total: " + totalScore + ", average: " + average);
                Long diff = average*3 - totalScore; // diff > 0 
                
                Long max =  0L;
                if (diff > 0) max = average + diff;
                else max = average;
                if (max >= p) answer++;
                if ((Math.abs(diff) > 1) && (S > 0)) S--;
            }
            
            if (S == 0) {
                System.err.println("Case #"+String.valueOf(t+1) +": "+answer.toString());
                continue;
            }
            
            // S > 0
            
            for (Long totalScore : scoresList) {
                Long average = Math.round((double) totalScore/3);
                Long diff = totalScore - average*3;
                
                Long max =  0L;
                if (diff > 0) max = average + diff;
                else max = average;
                
                if (Math.abs(diff) > 0) continue;
                if (max >= p) continue;
                if (S == 0) break;
                max = average + 1;
                S--;
                if (max >= p) answer++;
            }
            System.err.println("Case #"+String.valueOf(t+1) +": "+answer.toString());
             */
        }
        
        out.close();
    }
    
}
