<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A day after percutaneous coronary intervention for stable angina, a 63-year-old woman develops severe pain in her right small toe. She has no history of a similar episode. She has had diabetes mellitus for 16 years. After the procedure, her blood pressure is 14590 mm Hg, the pulse is 65min, the respiratory rate is 15min, and the temperature is 36.7C 98.1F. Physical examination of the femoral artery access site shows no abnormalities. Distal pulses are palpable and symmetric. A photograph of the toe is shown. Which of the following is the most likely diagnosis?? A: Atheroembolism, B: Burgers syndrome, C: Cellulitis, D: Diabetic foot, E: Reynauds phenomenon,  <response>: This is a clinical vignette describing a 63-year-old woman with diabetes who develops severe pain in her right small toe the day after undergoing percutaneous coronary intervention for stable angina. The key findings are:- Severe pain in right small toe, no prior history of similar episodes- Longstanding diabetes mellitus 16 years - Recent percutaneous coronary intervention for stable angina- Normal vital signs except slightly elevated blood pressure - Normal femoral access site exam, palpable distal pulses - Photograph shows redpurplish discoloration of right small toeThe differential diagnosis includes atheroembolism, diabetic foot ulcerinfection, cellulitis and vasculitis e.g. Raynauds phenomenon. Atheroembolism is the most likely given the temporal relationship with the recent cardiac catheterization procedure, presence of longstanding diabetes, and clinical photo showing ischemic changes specific to the small toe. Diabetic foot ulcer would likely have additional findings. Cellulitis and Raynauds less likely given distribution focused only on the small toe.A: Atheroembolism 