it is in turn 41 that i receive these reports. in what turn are these battles? last turn, turn 40 - i played that and sent it in. In which turn are the battles to be found? ... turn 41.
look at it this way. if you have zero turns notice you are merely surprised by the attack: you had zero turns in which to prepare for it.
by your method of counting, having been notified by you in turn 38, near in on it at that, i had turn 38 to prepare... 39, 40, and 41 - so 4 turns to prepare.
I think this should be the form for a NAP cancellation when posted to a forum, or pm'ed: "hi, just letting you know...I will send the formal notification in game such that you will receive it w/ the new turn (turn 39), and, counting 3 turns from that, your turn 42 can have legitimate post-NAP battle reports."
giving the turn that will include the battle reports clears up any possible alternate understanding.