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What is the VC dimension of the set of indicator functions of disks in R2 (i.e. functions which are 1 inside a circle 1 outside

What is the VC dimension of the set of indicator functions of disks in R2 (i.e. functions which are 1 inside a circle 1 outside (but not the other way around!?)) What about the indicator functions of rectangular boxes with sides parallel to the axes? Explain why?

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