Automation Test Scenario for E-Commerce website

There is a E-Commerce Website(Ex:Amazon). you have logged into application and selected a Categery and it listed all the products of that Category. 1) How to verify that all the products listed are of the selected Category during Automation? Identifying the each product reading its properties will take longer time as there are so many products? What is the best possible way to confirm that all the products listed are of selected Category?

2) If you filter the products with available filters. How to verify the list of products?

Please tell me the best possible way while automating this Scenario? Thanks in Advance...