If you know the information about every single molecule of each, you could calculate backwards the probability of where they came from. Eventually you would re

If you know the information about every single molecule of each, you could calculate backwards the probability of where they came from. Eventually you would reach a state where the most likely probability would show all the oxygen on one side and all the nitrogen on the other. This is a purely theoretical calculation, far outside the scope of our ability to calculate. It is one of those, if we turned all known matter into the possible fastest computer, could that even calculate it before the heat death of the universe sorts of questions.