Actually, their aims do have to be exactly the same way because their actions already happened in the past. Hermione had to do it exactly the same way because she already did do it exactly the same way. She couldn't have chosen not to throw that stone thingie because she can't change time. I'm serious. The Time Turner doesn't change time, it makes you able to be in more than one place at the same time.
Hermione's aim does have to be exactly the same because when Harry and Hermione go back in time, it is supposedly the same time they are in Hagrid's cabin. Therefore, the two stones breaking the jug is the same event and should happen exactly alike.
Their aims do have to be the same, as they are replaying what has already happened. The reason we are debating it is because we see both events from a different time period each time. This way-the jug should've broken the same way twice. Which way depends on which moment in time you are looking at.
They do have to be exactly the same way though, because it's not like their doing the same thing twice, it only happens once but they see it from two different perspectives...
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