Room Booking API

Build a meeting room booking API with FastAPI and Python. The API manages rooms and reservations.

Endpoints

• POST /api/rooms -- create a room with name: str, capacity: int (> 0), floor: int
• GET /api/rooms -- list all rooms, with optional min_capacity: int filter
• POST /api/bookings -- create a booking with room_id: int, title: str, start_time: datetime, end_time: datetime, organizer_email: str
• GET /api/bookings/{booking_id} -- get booking details
• DELETE /api/bookings/{booking_id} -- cancel a booking
• GET /api/rooms/{room_id}/availability -- check room availability for a given date: date query param

Business rules:

• Bookings cannot overlap for the same room
• End time must be after start time
• Bookings cannot be in the past
• A cancelled booking cannot be cancelled again
• Room name must be unique per floor

Output

Produce Python files:

• app/main.py -- FastAPI app with all routes
• app/schemas.py -- Pydantic request/response models
• app/db.py -- in-memory data store (no real database)

Do not include test files or deployment configuration.