// example of Monte carlo method of approximation
// start will 48 dice - when a di is 2 remove it
// how many rolls on average until all are gone
// do it 1 million times and take average

import java.io.*;
import java.util.Random;

public class workshop
 {

 public static void main(String[] args) throws IOException
  {final int TIMES = 1000000;
	  	  int n;
	  int diceleft;
	  double sum = 0;
	  for (int y=1; y <= TIMES; y++)
	  {
	  int roll = 0;   // number of rolls to get rid of all dice
       int dice = 48;  // start with 48 dice
       while (dice > 0)
       {roll++;
        diceleft = dice;
       for (int x=1; x <= diceleft; x++)
        {n = (int)(Math.random()*6) + 1;         
           if (n==2)             // if roll a 2 remove di
          dice--;
	    }
	  }
	 sum+= roll;
 }
 System.out.println(sum/TIMES+" average rolls");

 }
}