The Reactor Is Not Our Product

A surplus dealer stripped the cooling computer from your reactor, then claimed it was "never included in the product." The pumps, evacuation siren, and four-state temperature sensor still work. Build the controller that lets the facility switch on the reactor without cooking everyone inside.

The cooling controller receives one temperature classification per cycle:

• 0: cold
• 1: normal
• 2: warm
• 3: critical

The cooling system starts off. A warm sample turns cooling on, a cold sample turns it off, and a normal sample leaves it unchanged. A critical sample turns cooling on and permanently latches the evacuation alarm for the remainder of the stream.

Hardware I/O Encoding

• temperature is a stream of unsigned 2-bit values with at most 64 elements
• each output element is (cooling, evacuate)
• both output fields are unsigned 1-bit values
• the output reflects the state after processing the corresponding sample

Example

Input [0, 2, 1, 0, 3, 0] produces [(0, 0), (1, 0), (1, 0), (0, 0), (1, 1), (0, 1)].