In Swedish the definite form is often expressed by the addition of the letter "n". When the word ends with a consonant, a voyel is added for phonetic reason, (phonaesthetics/eufoni).

Her is the surface form of a word that takes "-n" at the definite form and requires the application of euphonic rule:
Surface form (indefinite): dag
Surface form (definite): dagen

Question 1: Can you write the lexical forms of both "dag" and "dagen" as in chapter 3 of Jurafsky and Martins (2009)?
Question 2: Here are the intermediate forms: dag^# dag^n#
Can you write one transducer that makes the transition between these intermediate forms and those surface forms?