cy-r0x/JudgeClient — reverse-engineered prompt

Build me a simple web client for an online judge called JudgeClient. I want users to open a clean website, sign in if needed, browse coding problems, read problem details, write or paste a solution, submit it, and see the judging status and final result in a clear way.

Include pages for a home screen, problem list, problem detail, submissions, and a basic profile or account area if auth already exists in the project. Keep the design plain and usable, with loading states, empty states, errors, and mobile friendly layouts.

Wire the screens to the existing api, contexts, handlers, and utils that are already in the repo instead of making random new patterns. If something is missing, stub it cleanly with realistic mock data and make it easy to connect later. Use the current project setup, and look up current docs online if you need to.