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: full bed without headboard
Product list:
A: Allewie Full Size Platform Bed Frame with Upholstered Geometric Wingback Headboard/Mattress Foundation with Wood Slat Support/No Box Spring Needed/Easy Assembly, Dark Grey
B: Hoomic Upholstered Queen Platform Bed Frame with 3 Storage Drawers, No Fixed Headboard Design, Mattress Foundation with Wooden Slats, No Box Spring Needed, Noise Free, Dark Grey
Answer: B,A