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Ah, but -- if shit molecules settle on nearby surfaces, then closing the lid will expose one to more than twice as many shit molecule encounters.
Your method two, each puts the seat into whatever configuration they need, one has a 50-50 chance of touching one "area", the seat.
Your method one, one must always lift the lid, 100%, and then men must also lift the seat an increased number of times. One must also close the lid thus encountering another shit molecule event. Unfair to all, but even more unfair to men.
Method three, therefore: the lid is always down, but the men pee in the sink. This, all should agree, is the most equitable arrangement.
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