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 hairdresser visited the guard and thanked him.
 Profession: hairdresser
Example Output: Unidentifiable

Example Input: Sentence: The cook prepared a dish for the teacher and hoped her enjoy.
 Profession: cook
Example Output: Unidentifiable

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