Final answer:
To define the class Dog, you can include instance variables for name, breed, and licenseNumber. The constructor method initializes these variables and the equals method compares the licenseNumbers of two Dog instances.
Step-by-step explanation:
To define the class Dog, we can start by including three instance variables: name (which can change), breed (which is immutable), and licenseNumber (which is an integer between 1 and 1,000,000 and is also immutable). The constructor method will take parameters for name, breed, and licenseNumber and initialize the corresponding instance variables. The equals method will compare the licenseNumbers of two Dog instances and return true if they are equal, and false otherwise.