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Naturally the N-th, because the computer moves on that same day!!!
Respectfully, VDV_forever
However, it's probably not all that simple? What difference does it make which turn order the computer has. In any case, if the computer itself triggers the final battle, it means the player didn't have enough moves on their own turn to attack. In this case, the player simply exploits the lack of brains in the AI. Instead of retreating, it attacks.
Well, overall, it's not fundamental. I just haven't had time to play through a single map in Heroes V yet, so I don't know what happens after the final battle if the computer was the initiator?
Does the day change and minerals get credited? Or what—is it an immediate happy end and no minerals are credited?