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 com.google.codejam.qualrnd.dncingglers;

import java.io.BufferedOutputStream;
import java.io.FileOutputStream;
import java.io.IOException;
import java.util.ArrayList;
import java.util.List;

public class DancingGooglers {

	public void resolve() {
		
		DancingGooglersInputReader inputReader = new DancingGooglersInputReader();
		DancingGooglersInput input = inputReader.read();
		
		int noOfCases = input.getNoOfCases();
		GooglersScoreboard[] allScoreboards = input.getScoreboards();
		
		int[] result = null;
		
		BufferedOutputStream outputStream = null;
		try {
			outputStream = new BufferedOutputStream(new FileOutputStream("out.txt"));
		
			for (int caseIndex = 0; caseIndex < noOfCases; caseIndex++) {
				
				List<int[]> bestAndSurprisingTriplets = new ArrayList<int[]>();
				
				GooglersScoreboard scoreboard = allScoreboards[caseIndex];
				
				int bestScore = scoreboard.getBestScore();
				int expectedSurprising = scoreboard.getNoOfSurprisingScores();
				
				int totalBestScores = 0;
				int totalSurprising = 0;
				int both = 0;
				
				for (int score : scoreboard.getScores()) {
	
					result = findTripletFor(score, 2);
					
					if (isTripletBestResult(result, bestScore)) {
						totalBestScores++;
					}
					
					if (isTripletSurprising(result)) {
						totalSurprising++;
					}
	
					if (isTripletBestResult(result, bestScore)
							&& isTripletSurprising(result)) {
						both++;
						bestAndSurprisingTriplets.add(result);
					}
					
//					System.out.printf("[%d, %d, %d] ", result[0], result[1], result[2]);
				}
				
//				System.out.printf("Best: %d, Surprising: %d, Both:%d %n", totalBestScores, totalSurprising, both);
	
				if (totalSurprising > expectedSurprising) {
					totalSurprising = totalSurprising - (totalSurprising - both);
				}
				
				if (totalSurprising > expectedSurprising) {
					for (int[] tmpTriplet : bestAndSurprisingTriplets) {
						if (isStillBestAfterNonSurprisable(tmpTriplet, bestScore)) {
							totalSurprising--;
							both--;
						}
						
						if (totalSurprising <= expectedSurprising) {
							break;
						}
					}
				}
				
				if (totalSurprising > expectedSurprising) {
					totalBestScores = totalBestScores - (totalSurprising - expectedSurprising);
				}
				
				outputStream.write(String.format("Case #%d: %s\n", caseIndex+1, totalBestScores).getBytes());
				System.out.printf("Case #%d: %s%n", caseIndex+1, totalBestScores);
			}
			
			
		} catch (IOException e) {
			e.printStackTrace();
		} finally {
			if (outputStream != null) {
				try {
					outputStream.flush();
					outputStream.close();
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
		}
			
			
	}
	
	private boolean isStillBestAfterNonSurprisable(int[] triplet, int bestScore) {
		if ((triplet[0] - 1) >= bestScore) {
			return true;
		}
		return false;
	}
	
	private int[] findTripletFor(int totalScore, int minDiff) {
		return processTriplet(10, 10, 10, totalScore, minDiff);
	}
	
	private int[] processTriplet(int sc1, int sc2, int sc3, int targetScore, int minDiff) {
		
//		System.out.printf("%d %d %d%n", sc1, sc2, sc3);
		
		int tripletTotal = sc1 + sc2 + sc3;
		
		if (tripletTotal == targetScore) {
			return (new int[]{sc1, sc2, sc3});
		}
		
		if ((sc3 > 0) && (sc2 - sc3 < minDiff) && (sc1 - sc3 < minDiff)) {
			return processTriplet(sc1, sc2, sc3-1, targetScore, minDiff);
		} else if (sc2 > 0 && sc1 - sc2 < minDiff) {
			return processTriplet(sc1, sc2-1, sc3, targetScore, minDiff);
		} else {
			return processTriplet(sc1-1, sc2, sc3, targetScore, minDiff);
		}
	}
	
	private boolean isTripletSurprising(int[] triplet) {
		return (triplet[0] - triplet[1] == 2 
				|| triplet[1] - triplet[2] == 2 
				|| triplet[0] - triplet[2] == 2);
	}
	
	private boolean isTripletBestResult(int[] triplet, int bestScore) {
		return (triplet[0] >= bestScore 
				|| triplet[1] >= bestScore 
				|| triplet[2] >= bestScore);
	}
	
	public static void main(String[] args) {
		new DancingGooglers().resolve();
	}
}
