
/*
Online Java - IDE, Code Editor, Compiler

Online Java is a quick and easy tool that helps you to build, compile, test your programs online.
*/

//I have declared all variables class level and static to ensure
//that the recursive method is kept tidy
//the question also raises performance question
//to ensure I can test the execution time, I will add stopwatch..
//For moment, I am using long variable to ensure I can extend 
//the String to 9,223,372,036,854,775,807

public class Main
{
    static int lengthFirstNumber;
    static int lengthSecondNumber;
    static String lastDigitFirstNumber;
    static String lastDigitSecondNumber;
    static int firstDigitTotalDigits;
    static int lastDigitTotalDigits;
    static int total;
    static String grandTotal="";
    static boolean remainder=false;
    static String remainingPortion;
    static int remainingPortionInteger;
    static String remainingPortionString;
    
    public static void main(String[] args) {
        System.out.println("Welcome to Online IDE!! Happy Coding :)");
         System.out.println("Addition program, ensure String has maximum characters: " + "2,147,483,648");
        
        
        String number2 = "636";
        String number1 = "324";
        
        //For an unknown reason, the addition method is unable to return the String, it just shows blank value
        //Bizarre is that it can see the variable value on screen before I try to return it.
        //So I have just used System.out.println(GRANDTOTAL).
        //a
        System.out.println(number1 + "+" + number2 + "= " + addition(number1, number2));
        
    }
    
    public static String addition(String number1, String number2)
    {
        System.out.println("Another chance");
        
        //if it has not run out of digits in the number
        //for instance here it have to end when either hit 1 digit wide
         //if ((Integer.valueOf(number1)%10!=0) || (Integer.valueOf(number2)%10!=0))
         //{
        
        //try
        //{
        
        //it is still working constraints of the code
        //the Strings are note being converted, it is only the length of the Strings.
        lengthFirstNumber=(number1.length());
        lengthSecondNumber=(number2.length());
        
        //}
        
        //catch (NumberFormatException e)
        //{
            //System.out.println("No more digits left: " + number1);
        //}
        
        //try
        //{
        
        //}
        //catch (NumberFormatException e)
        //{
            //System.out.println("No more digits left: " + number2);
            
        //}
        
        /*
        
        //at this point it knowws that its on the most extreme left hand side of them...
        //looking at example    4666
                               + 544
        //it is just not a case of dropping the number 4 down.... into the grandTotal
        //this would be ok if  (6+5 was not >=10)
        //there would be last addition undertaken
        //at this point its expected to perform
                                   4
                                +     
        
        //this is just a case of dropping the remainder across
        //for instance performing  55
                                 + 55
                                 -------
                                  110
                                 -------
                                 
        if (number2%10==0 && number1%10==0) &&   firstDigitTotalDigits=0|| number2%10==0)
        {
            
        }
        */
         if (lengthFirstNumber==0 && lengthSecondNumber==0)
        {
            System.out.println("HHHHHH");
            System.out.println("GRANDTOTAL: " + grandTotal);
            return grandTotal;
            
        }
        
        
        
        //need something here since it was giving numberformat exception.
        //most likely since lengthFirstNumber or lengthSecondNumber is
        //already 0
    
        lastDigitFirstNumber=number1.substring(lengthFirstNumber-1);
        System.out.println("last digit first number: " + lastDigitFirstNumber);
        System.out.println("number 1 at this point: " + number1);
        
        
       
        lastDigitSecondNumber=number2.substring(lengthSecondNumber-1);
        System.out.println("last digit second number: " + lastDigitSecondNumber);
        System.out.println("number 2 at this point: " + number2);
        
         //System.out.println(lastDigitFirstNumber);
        //System.out.println(lastDigitSecondNumber);
        
        //this has to be separate since it is possible for a remainder to be carried forward
        //from previous method call AND current method call having total less than 10 or greater than 10.
       
       try
       {
          if ((Integer.valueOf(lastDigitFirstNumber) + Integer.valueOf(lastDigitSecondNumber) + firstDigitTotalDigits)>=10)
        {
            
            total = Integer.valueOf(lastDigitFirstNumber) + Integer.valueOf(lastDigitSecondNumber) + firstDigitTotalDigits;
            System.out.println("\nOVER 10");
            System.out.println("addition of: " + Integer.valueOf(lastDigitFirstNumber) + " + " + Integer.valueOf(lastDigitSecondNumber));
            
            System.out.println("this is current total: " + total);
            
            //first digit carried forward
            firstDigitTotalDigits = (int)total/10;
            System.out.println("This is first digit, it will be carried forward: " + firstDigitTotalDigits);
            
            remainder=true;
            
            //this is stored in the String
            lastDigitTotalDigits=total%10;
        
            //it has to be stored on the most left hand side like real life
            grandTotal = Integer.toString(lastDigitTotalDigits) + grandTotal;
          
            System.out.println("running grand total: " + grandTotal);
            System.out.println("length first: " + lengthFirstNumber);
             System.out.println("length second: " + lengthSecondNumber);
           
            //try
            //{
            addition(number1.substring(0, (lengthFirstNumber-1)), number2.substring(0, (lengthSecondNumber-1)));
            //}
            //catch (ArrayIndexOutOfBoundsException e)
            //{
              //  System.out.println("one of the numbers is shorter than other");
            //                    System.exit(0);
            //}
            
            //need to worry about carry forward in recursive call
        }
        else
        {
            //we expect total to be a single digit
            
            total = Integer.valueOf(lastDigitFirstNumber) + Integer.valueOf(lastDigitSecondNumber) + firstDigitTotalDigits;
            
            grandTotal = Integer.toString(total) + grandTotal;
            System.out.println("\nless than 10");
            System.out.println("addition of: " + Integer.valueOf(lastDigitFirstNumber) + " + " + Integer.valueOf(lastDigitSecondNumber));
            
            System.out.println("this is current total: " + total);
            
            System.out.println("running grandtotal: " + grandTotal);
            
            System.out.println("length first: " + lengthFirstNumber);
            System.out.println("length second: " + lengthSecondNumber);
            
           //it needs to set the carry forward value to 0
            firstDigitTotalDigits=0;
            
            //try
            //{
            //we now pass the exact starting number, but trim last number off
            addition(number1.substring(0, (lengthFirstNumber-1)), number2.substring(0, (lengthSecondNumber-1)));
            //}
            //catch (ArrayIndexOutOfBoundsException e)
            //{
                
            //}
            }
    }
    catch (NumberFormatException e)
    {
        System.out.println("123This is last digit first number:" + lastDigitFirstNumber);
        System.out.println("123This is last digit second number:" + lastDigitSecondNumber);
        
        //now in here, it has to check if there is a carry over of 1
        //if so it would add it to last digit of either number1 or number2
        
        //for initial numbers such as, it is fortunately relatively more straight forward
           //4636
      //+     524
      
      //but it was in a try and catch since if any of the values:
      //lastDigitFirstNumber="" or lastDigitSecondNumber=""
      //it would cause NumberFormatException since it can not format String => int
      //if the String is empty! We know however ONLY one of them is empty
      //if ((Integer.valueOf(lastDigitFirstNumber) + Integer.valueOf(lastDigitSecondNumber)
      //the alternate technique would be to add 0's on the front of the shortest number
      //to ensure both have uniform length, however this would affect readability when performing
      //System.out.println()
      
      // this is fine here
      System.out.println("****************");
      System.out.println("number 1 at this point: " + number1);
      System.out.println("number 2 at this point: " + number2);
      
      
      //there are lots options in the if statement
      //can check if number2.length()>0
      //can check if Integer.valueOf(number2)>0
      //but best to examine lastDigitSecondNumber since more relevant to
      //leading most significant numbers...
      try
      {
      if (lastDigitSecondNumber!=null)
      {
          total = Integer.valueOf(lastDigitFirstNumber) + firstDigitTotalDigits;
         
      }
      
      //at this point we have dealt with scenarios such as these since it has logic
      //to carry forward 1
      //    4636
      //  +  324
         
      //     4636
      //  +   524
         
      //but if the numbers were:    84636
      //                          +   524
      //it would fail since it has not had opportunity to process the 8 in number1
      //so simply, once it has performed total with 4 and no value in number2
      //it needs to take all the remaining numbers in the substring
      //and append it to the grand total
      //in effect it will shorten length number again by 1..
      
      //note this time the shortening is normal.
      
     remainingPortionInteger = (int) (Integer.valueOf(number1) / 10);
     remainingPortionString  = Integer.toString(remainingPortionInteger);
     System.out.println("1This is remaining portion after conversion: " + remainingPortionString);
      
      
      System.out.println("length of first number: " + lengthFirstNumber);
      remainingPortion = remainingPortionString.substring(0, (lengthFirstNumber-1));
      System.out.println("This is remaining part: " + remainingPortion);
      
      
      }
      catch (NumberFormatException n)
      {
          
          total = Integer.valueOf(lastDigitSecondNumber) + firstDigitTotalDigits;
         
      //As above                       524
      //but if the numbers were:   + 84636
      //                          
      //it would fail since it has not had opportunity to process the 8 in number2
      //but first it has to perform /10 to exclude the 4
      
     remainingPortionInteger = (int) (Integer.valueOf(number2) / 10);
     remainingPortionString  = Integer.toString(remainingPortionInteger);
     
     
      remainingPortion = remainingPortionString.substring(0, (lengthSecondNumber-1));
     System.out.println("This is remaining portion after conversion: " + remainingPortionString);
     
      System.out.println("This is remaining part: " + remainingPortion);
          
      }
      
      //this part needs addressing.
      grandTotal = remainingPortion + Integer.toString(total) + grandTotal;
      
      System.out.println(grandTotal);
      return grandTotal;
      
      
      //System.exit(0);
      
        
        
    }
        
        return "test";
        
        
    //}  // end of if  number%10!=0
    
    }
}