I am trying to solve the following problem:

"Given a set of (x,y)-points  P find a subset P' of P such that the
convex hole of P', CH(P') contains all points of P' as it's vertices
and no point of P\P' is contained inside the convex hole. Find such a
set P' so that CH(P') has the maximal possible area"

I have no clue on how to attack this problem so any hint is
appreciated.

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