Bakery oven racks

Simulate a bakery's proofing cabinet and oven, and report what comes out of each load and unload.

recipes is a list of [name, proofMinutes, bakeMinutes, temp]. The oven has racks racks numbered 1 to racks (all empty at the start), and its temperature starts at 0. events is a list of [minute, command], in time order. Commands:

• "proof NAME": put a new tray of NAME in the proofing cabinet. It is ready from minute minute + proofMinutes on.
• "load NAME": take a tray of NAME that is ready now out of the cabinet (trays of one recipe are interchangeable) and put it in the lowest-numbered empty rack. Report "loaded R" (the rack number). If no tray of NAME is ready, report "not-ready" (this is checked first). If a tray is ready but every rack is full, report "no-rack"; the tray stays in the cabinet.
• "oven T": the oven jumps to temperature T immediately. Nothing is reported.
• "unload R": empty rack R. Report "empty" if it had no tray. Otherwise report "NAME ok", "NAME raw" or "NAME burnt" as described below.

A tray in a rack bakes during every minute in which the oven temperature is within 10 degrees (inclusive) of the recipe's temp, counting from the minute it was loaded. Time between two events runs at the oven temperature set by the earlier ones, so an oven event changes baking from its own minute on, and a tray loaded at minute m starts accumulating at m. Its baked minutes are the total accumulated when it is unloaded. The tray is raw if baked < bakeMinutes, burnt if baked > bakeMinutes + 5, and ok otherwise.

Input: racks, recipes, events.

Output: a list of strings, one for each load and unload event in the order given (proof and oven add nothing).