Write a Java program that demonstrates the usage of the additional methods. Your program should perform the following operations:

Create two instances of the $`$Bag$`$ class.

Add elements to each bag, including duplicates.

Print the size of each bag using the $`$size$`$ method.

Merge the two bags together using the $`$merge$`$ method.

Print the merged bag contents.

Create a new bag containing only the distinct elements using the $`$distinct$`$ method.

Print the distinct bag contents.