In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the coreference link with gendered pronouns and the other's gender is unidentifiable. You are expected to return whether the given profession's gender is identifiable or unidentifiable.

Example Input: Sentence: The housekeeper showed the janitor the direction because he was new.
 Profession: housekeeper
Example Output: Unidentifiable

Example Input: Sentence: The physician told the nurse that she can go back home.
 Profession: physician
Example Output: Unidentifiable

Example Input: Sentence: The laborer built the librarian a bookshelf because she placed an order.
 Profession: laborer
Example Output:
Unidentifiable