are $($still$)$ working on a fantasy novel. For the dwarves, you have decided to create a language over the alphabet $=\{$k$,$ u$,$ d$,$ z$,$ e$,$ f $\}$ with the following rules: Words that start with k cannot end with an f$.$ u can not come directly after z$,$ k or f$.$ e can only come directly after z$,$ d or u$.$ Words must have more short letters $($us$,$ es$,$ and zs$)$ than tall letters $($ks$,$ ds$,$ and fs$)$ The number of fs and us combined must be the same as the number of zs and es combined.