Consider the following training corpus C:

this there that hat what when bat mere her here are hare

and initial vocabulary V:

V $=\{$a$,$ b$,$ e$,$ h$,$ i$,$ m$,$ n$,$ r$,$ s$,$ t$,$ w$\}$

Use Byte$-$Pair Encoding $($just the token learning phase$)$ with hyperparameter k set to $4$ to expand the vocabulary V$.$ Show all steps below. In case of ties, merge the byte pair that appears first in the corpus C$.$