Consider that in state A there is a spot with two boys. Consider that in state B no such spot exists. Why is that? Broadly, in state A from that position, th

Consider that in state A there is a spot with two boys. Consider that in state B no such spot exists. Why is that? Broadly, in state A from that position, the boys are on the outside AND inside. As you progress around the circle, they transition from inside to outside more or less smoothly. By rotating the most inside boy to be aligned with the most outside boy, you haven't mismatched any of the other boys enough to invalidate them as part of your count. Consider that in state B you discount the boy part in the position where in state A you counted 2 boys. If that doesn't do it for you, can you describe what helped and where I added or maintained confusion?