And what decisions were made in the process?
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Cut the apples up into six pieces each and everyone gets four piece.
One to be safe give the girl one apple and the boys take half each.
Scenario 1: Take a person out via knife stroke.
Scenario 2: Cut the apples diagonally from (by looking at the drawing) top right to bottom left at a 45 degree angle. I think that will give two one piece each and another two pieces but all will get the same amount of apple.
Scenario 3: Use the stroke of the knife to procure another apple and each gets one apple.
This applies to the math for your scenario 2. Knife is long enough to cut both apples at one time. Therefore, you align the knife so it is cutting 1/3 of each apple at the same time thus giving 2/3 of a whole apple to two people plus two 1/3 pieces to the third
Scenario 1, boy stabs other boy then the girl gets an apple and he gets an apple and the girl.