Instruction: Evaluate the relevance of each product title in the input to the given query, and then sort the products in descending order of relevance, placing the most relevant product at the top of the ranked list.

Input:
Query: I would choose a reasonably-priced (under $50) short trenchcoat as a replacement.
Product list:
A: The Official BS Button
B: Columbia Women's Switchback III Jacket, Salmon, Large
Answer: A,B