An electronic device, with a display and one or more input devices separate from the display, displays, on the display, a user interface for an application. The device receives, at the one or more input devices separate from the display, user input events. The device generates a plurality of separate event streams in accordance with the user input events. The device merges information from the plurality of separate event streams to generate a stream of merged user input events. The device provides, to the application, information that describes the stream of merged user input events. The device displays, on the display, a response by the application that is based at least in part on the information that describes the stream of merged user input events.