The implementations of the methods addAll, removeAll, retainAll, toArray$(),$ and toArray$($T$[])$ are omitted in the MyList interface. Implement these methods.

interface MyList extends java.util.Collection $\{$

$/**$ Add a new element at the specified index in this list $*/$

public void add$($int index, E e$)$;

$/**$ Return the element from this list at the specified index $*/$

public E get$($int index$)$;

$/**$ Return the index of the first matching element in this list.

$*$ Return $-1$ if no match. $*/$

public int indexOf$($Object e$)$;

$/**$ Return the index of the last matching element in this list

$*$ Return $-1$ if no match. $*/$

public int lastIndexOf$($E e$)$;

$/**$ Remove the element at the specified position in this list

$*$ Shift any subsequent elements to the left.

$*$ Return the element that was removed from the list. $*/$

public E remove$($int index$)$;

$/**$ Replace the element at the specified position in this list

$*$ with the specified element and returns the new set. $*/$

public E set$($int index, E e$)$;

@Override $/**$ Add a new element at the end of this list $*/$

public default boolean add$($E e$)\{$

add$($size$(),$ e$)$;

return true;

$\}$

@Override $/**$ Return true if this list contains no elements $*/$

public default boolean isEmpty$()\{$

return size$()==0$;

$\}$

@Override $/**$ Remove the first occurrence of the element e

$*$ from this list. Shift any subsequent elements to the left.

$*$ Return true if the element is removed. $*/$

public default boolean remove$($Object e$)\{$

if $($indexOf$($e$)>=0)\{$

remove$($indexOf$($e$))$;

return true;

$\}$

else

return false;

$\}$

@Override

public default boolean containsAll$($Collection c$)\{$

for $($Object e: c$)$

if $(!$this.contains$($e$))$

return false;

return true;

$\}$

$/**$ Adds the elements in otherList to this list.

$*$ Returns true if this list changed as a result of the call $*/$

@Override

public default boolean addAll$($Collection c$)\{$

$//$ WRITE YOUR CODE HERE

$\}$

$/**$ Removes all the elements in otherList from this list

$*$ Returns true if this list changed as a result of the call $*/$

@Override

public default boolean removeAll$($Collection c$)\{$

$//$ WRITE YOUR CODE HERE

$\}$

$/**$ Retains the elements in this list that are also in otherList

$*$ Returns true if this list changed as a result of the call $*/$

@Override

public default boolean retainAll$($Collection c$)\{$

$//$ WRITE YOUR CODE HERE

$\}$

@Override

public default Object$[]$ toArray$()\{$

$//$ WRITE YOUR CODE HERE

$\}$

@Override

public default T$[]$ toArray$($T$[]$ a$)\{$

$//$ WRITE YOUR CODE HERE

$\}$

$\}$