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

import java.util.ArrayList;
import java.util.List;

/**
 *
 * @author Lance Chen
 */
public class CodeHelper {

    private static String FILE_ROOT = "D:/workspace/googlecodejam/meta";

    public static List<List<String>> loadInputsExcludes(String fileName) {
        List<List<String>> result = new ArrayList<List<String>>();
        List<String> lines = FileUtil.readLines(FILE_ROOT + fileName);
        int index = 0;
        for (String line : lines) {
            if (index == 0) {
                index++;
                continue;
            }
            if (index % 2 == 1) {
                index++;
                continue;
            }
            List<String> dataList = new ArrayList<String>();
            String[] dataArray = line.split("\\s+");
            for (String data : dataArray) {
                if (data.trim().length() > 0) {
                    dataList.add(data);
                }
            }
            result.add(dataList);
            index++;
        }
        return result;
    }

    public static List<List<String>> loadInputs(String fileName) {
        List<List<String>> result = new ArrayList<List<String>>();
        List<String> lines = FileUtil.readLines(FILE_ROOT + fileName);
        for (String line : lines) {
            List<String> dataList = new ArrayList<String>();
            String[] dataArray = line.split("\\s+");
            for (String data : dataArray) {
                if (data.trim().length() > 0) {
                    dataList.add(data);
                }
            }
            result.add(dataList);
        }
        return result;
    }

    public static List<String> loadInputLines(String fileName) {
        return FileUtil.readLines(FILE_ROOT + fileName);
    }

    public static void writeOutputs(String fileName, List<String> lines) {
        FileUtil.writeLines(FILE_ROOT + fileName, lines);
    }
}

package com.skidson.codejam;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.File;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;

public class DancingWithTheGooglers {
	private static final File inFile = new File("input");
	private static final File outFile = new File("output");

	public static void main(String[] args) throws IOException {
		BufferedReader in = new BufferedReader(new FileReader(inFile));
		BufferedWriter out = new BufferedWriter(new FileWriter(outFile));
		int numTests = Integer.parseInt(in.readLine());
		
		for (int x = 0; x < numTests; x++) {
			String[] params = in.readLine().split(" ");
			int N = Integer.parseInt(params[0]);
			int S = Integer.parseInt(params[1]);
			int p = Integer.parseInt(params[2]);
			int y = 0;
			
			int[] t = new int[N];
			for (int j = 3; j < params.length; j++)
				t[j-3] = Integer.parseInt(params[j]);
			
			int[][] scores = new int[N][];
			for (int i = 0; i < N; i++) {
				scores[i] = new int[]{p, p, p};
				
				if (sumArray(scores[i]) <= t[i]) {
					y++;
					continue;
				}
				
				boolean valid = true;
				while (valid && sumArray(scores[i]) != t[i]) {
					/* Decrement an element of the array, prioritizing not consuming an S:
					 *	p	p	p
					 *	p-1	p	p
					 *	p-1	p-1	p
					 *	p-2	p-1	p	... if sum is hit here or after, must consume S (S--)
					 *	p-2 p-2	p	... if sum is not hit by now, this cannot meet  our criteria
					 */
					if (p-scores[i][0] >= 2 && p-scores[i][1] >= 2) {
						valid = false;
					} else if (scores[i][1] == scores[i][0]) {
						if (--scores[i][0] < 0)
							valid = false;
					} else {
						if (--scores[i][1] < 0)
							valid = false;
					}
				}
				
				if (valid) {
					// scores[i][0] will always be smallest, scores[i][2] largest
					if (scores[i][2] - scores[i][0] == 2) {
						if (S > 0) {
							S--;
							y++;
						}
					} else {
						y++;
					}
				}
			}
			out.write("Case #" + (x+1) + ": " + y + "\n");
		}
		out.flush();
		out.close();
	}
	
	private static int sumArray(int[] array) {
		int sum = 0;
		for (int i : array)
			sum += i;
		return sum;
	}

}
