$3$ Being part of the "Gators," the University of Florida golfing team must play on a putting green with an alligator pit. Eigure $3\mathrm{.}2$ shows an overhead view of one putting challenge of the team; an xy coordinate system is superimposed. Team members must from the origin to the hole, which is at xy coordinates $(8$ m$,$ overline $12$ m $)$ but they can putt the golf ball using only one or more of the following displacements, one or more times