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 sheriff stopped the nurse and hugged her for the great help.
 Profession: sheriff
Example Output: Unidentifiable

Example Input: Sentence: The manager promoted the housekeeper because he appreciated the dedication.
 Profession: housekeeper
Example Output: Unidentifiable

Example Input: Sentence: The physician examined the hairdresser for cuts because she was clumsy with scissors.
 Profession: hairdresser
Example Output:
Identifiable