<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A 18-year-old woman presents to her primary care physician reporting that she has not experienced her first menses. She is accompanied by her mother who states that she personally experienced menstruation at age 12 and that the patients sister started menstruating at the age of 11 years. The patient is not sexually-active and denies taking any medications. On physical examination, the patient appears thin and has fine hair covering her arms. Her height is 62 inches 157.48 cm and her weight is 85 pounds 38.5 kg. The patient does not make eye contact and only answers in one word responses. The mother is asked to step out of the room and the interview resumes. After establishing some trust, the patient admits that she does not have an appetite. She has had difficulty sleeping and some feels guilty for worrying her mother. She also admits to occasional cocaine use. She switches between binge-eating and vomiting. She is constantly fatigued but she also goes to the gym three times daily, often without her parents knowledge. Which of the following is the most likely diagnosis in this patient?? A: Anorexia nervosa, B: Bulimia nervosa, C: Binge-eating disorder, D: Illicit substance use, E: Major depressive disorder,  <response>: Based on the information provided in the question stem, the key findings are:- 18-year-old female has not had her first menses - Mother had menarche at age 12, sister at age 11 suggesting delayed puberty- Patient is thin with fine hair on arms, short stature and low weight suggesting malnutrition- Patient exhibits disordered eating patterns including bingeing, vomiting, and excessive exercise- Patient shows signs of depression and guilt - Patient admits to occasional cocaine useGiven the combination of delayed puberty, disordered eating, excessive exercise, body image issues, and depression, the most likely diagnosis is anorexia nervosa. Bulimia involves bingeing and purging but not the low weight seen here. Binge eating disorder may have bingeing but not the compensatory behaviors. Substance use and depression could be present but do not explain the full clinical picture.A: Anorexia nervosa 