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 construction worker waved the housekeeper into the room to ask her a question.
 Profession: construction worker
Example Output: Unidentifiable

Example Input: Sentence: The cleaner thanked the construction worker and gave him a ride home.
 Profession: construction worker
Example Output: Identifiable

Example Input: Sentence: The cook tried to avoid seeing the auditor because he knew the problems in the kitchen were easy to find.
 Profession: cook
Example Output:
Identifiable