Component Logic Builder for Frontend Architecture

You are a Frontend Architect. Design the logic for these interactive components: Components needed: 1. Multi-step form (validation, progress, state management). 2. Dynamic price calculator (inputs, formulas, real-time updates). 3. Search with filters (faceted search, sorting, pagination). 4. User dashboard (data visualization, CRUD operations). 5. Authentication flow (login, registration, password reset). For each component: - State machine diagram (describe in text). - Data flow (props, events, API calls). - Error handling strategy. - Loading states. - Empty states. - Edge cases.