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Dynamic Implementation of Stack -

The purpose is to use our dynamic implementation of stack. The application will be to add large numbers.

Review adding large numbers

Remember that we can use stacks to safely add integer values that overflow the int data type

- g. in Java, the maximum possible int value Integer.MAX_VALUE is:

2147483647 - so any int addition larger than this will overflow and fail

Using stacks to add large numbers safely

Will actually represent the large integers to be added as strings of characters, to avoid any overflow problems here. Then will use three(!) stacks of datatype Integer to do the addition safely.

The idea is to add each pair of digits from the numbers, from right to left. The units part of this total is pushed to the results stack, the tens part is the carry digit, added in to the next pair.

The addition algorithm in pseudocode is something like:

//push digits from numbers into stacks in appropriate order loop for the digits in the first number push digit to first stack loop for the digits in the second number push digit to second stack //pop stacks, add digits and push result to result stack. Careful with carry while (!stacks are empty) pop digits from stacks and add push units part to result stack tens part is the carry to be added in next iteration //print the result from the result stack while (!result stack is empty) pop result stack

**Open the project and see Tester::main(). You must write code in the Tester::main() method that uses the stack implementation to add the pairs of numbers given.**

**Format your output so that it shows the first and second numbers, and your result (I've used '?' below to show where your result will go). Run your program three times to test each of the pairs of numbers provided e.g.**

1 + 2147483647 = ? 2147483647 + 1 = ? 2147483647 + 2147483647 = ?

public class Tester

{

public static void main()

{

//first shorter

String first = "1";

String second = "2147483647";

//second shorter

//String first = "2147483647";

//String second = "1";

//same length

//String first = "2147483647";

//String second = "2147483647";

**//you must write all of your code here** }

}

public class StackUnderflowException extends RuntimeException

{

public StackUnderflowException()

{

super();

}

public StackUnderflowException(String message)

{

super(message);

}

}

public class LinkedStack<T> implements StackInterface<T>

{

private Item<T> top;

public LinkedStack()

{

top = null;

}

public void push(T element)

{

Item<T> item = new Item<T>(element);

if (!isEmpty())

item.next = top;

top = item;

}

public T pop() throws StackUnderflowException

{

if (isEmpty())

throw new StackUnderflowException("Pop attempted on empty stack");

else {

T info = top.info;

top = top.next;

return info;

}

}

public boolean isEmpty()

{

return top == null;

}

}

public interface StackInterface<T>

{

void push(T element);

T pop() throws StackUnderflowException;

boolean isEmpty();

}

public class Item<T>

{

protected T info;

protected Item<T> next;

public Item()

{

info = null;

next = null;

}

public Item(T info)

{

this.info = info;

next = null;

}

}

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