manishgs-08/DAA — reverse-engineered prompt

Build me a small responsive shopping site called AlgoMart that feels modern and polished, with a glassy UI and smooth interactions, using plain HTML, CSS, and JavaScript so I can just run it locally in the browser.

I want a product catalog with a few sample items and images, plus sorting by price and rating, and a fast search by product name. Add a budget optimizer where I can enter a budget in rupees and it picks the best combination of products based on value or rating within that amount. Also include a checkout style feature where product categories are connected and the app calculates the best discount path using a minimum spanning tree idea. It should also have a product zoom or magnifier effect on hover, and a simple algorithm lab section that explains in friendly terms what each algorithm is doing and shows the time complexity.

Keep it educational but still usable like a real mini store. If you need details, look up current browser friendly patterns online.