/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */
package IO;

import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.util.ArrayList;
    
/**
 * 
 * @author dannocz
 */
public class InputReader {
    
    public static Input readFile(String filename){
        try {
              
              /*  Sets up a file reader to read the file passed on the command
          77        line one character at a time */
              FileReader input = new FileReader(filename);
              
              /* Filter FileReader through a Buffered read to read a line at a
                 time */
              BufferedReader bufRead = new BufferedReader(input);
              
              String line;    // String that holds current file line
              int count = 0;  // Line number of count 
              ArrayList<String> cases= new ArrayList<String>();
              
              // Read first line
              line = bufRead.readLine();
              int noTestCases=Integer.parseInt(line);
              count++;
              
              // Read through file one line at time. Print line # and line
              while (count<=noTestCases){
                  //System.out.println("Reading. "+count+": "+line);
                  line = bufRead.readLine();
                  cases.add(line);
                  count++;
              }
              
              bufRead.close();
              
              return new Input(noTestCases,cases);
              
          }catch (ArrayIndexOutOfBoundsException e){
              /* If no file was passed on the command line, this expception is
              generated. A message indicating how to the class should be
              called is displayed */
              e.printStackTrace();        
  
          }catch (IOException e){
              // If another exception is generated, print a stack trace
              e.printStackTrace();
          }
        
        return null;
          
      }// end main
    }


public class Problem {

	public int googlers;
	public int surprisingTriplets;
	public int bestResult;
	public int[] totals;
	
	public Problem(int googlers, int suprisingTriplets, int bestResult, int[] totals) {
		super();
		this.googlers = googlers;
		this.surprisingTriplets = suprisingTriplets;
		this.bestResult = bestResult;
		this.totals = totals;
	}

	public int solve() {
		
		boolean[] bestTotals = new boolean[totals.length];
		
		for (int i = 0; i < bestTotals.length; i++) {
			bestTotals[i] = tryFindingAnswer(totals[i], false);
		}
		
		// Try to find surprising results
		int i = 0;
		int surprising = surprisingTriplets;
		while (i < bestTotals.length && surprising > 0) {
			
			if (!bestTotals[i]) {
				bestTotals[i] = tryFindingAnswer(totals[i], true);
				
				if (bestTotals[i]) {
					surprising--;
				}
			}		
			
			i++;
		}
		
		int finalResult = 0;
		for (boolean b : bestTotals) {
			if (b) {
				finalResult++;
			}
		}
		
		return finalResult;
	}
	
	private boolean tryFindingAnswer(int total, boolean isSurprising) {
		
		if (total == 0) {
			return (bestResult == 0);
		}
		
		total -= bestResult;
		if (total >= 20) {
			return true;
		} 
		
		int lowLimit = bestResult - 1;
		int highLimit = bestResult + 1;
		
		if (isSurprising) {
			lowLimit--;
			highLimit++;
		}
		
		if (lowLimit < 0) {
			lowLimit = 0;
		}
		
		if (highLimit > 10) {
			highLimit = 10;
		}
		
		if (highLimit * 2 < total) {
			return true;
		}		
		
		for (int i = lowLimit; i <= highLimit; i++) {
			int tempOtherValue = total - i;
			
			if (tempOtherValue >= lowLimit && tempOtherValue <= highLimit) {
				return true;
			}
		}
		
		return false;
	}
}
