eman289/smart-login-system — reverse-engineered prompt

Build me a simple browser based login app with three pages, sign up, sign in, and a home page.

On sign up, the user should enter their name, email, and password. Validate the fields in a basic way, show friendly error messages, and save the account locally in the browser. On sign in, check the saved users and only let someone continue if the email and password match. After a successful login, send them to the home page and show a personalized welcome message with their name. Add a logout button that clears the active session and returns them to the sign in page.

Keep it simple with HTML, CSS, and JavaScript, and make it look clean and responsive using a Bootstrap style layout. This is just a practice project, so local storage is fine. Please include all the pages and scripts needed so I can open it in the browser and test the full flow.