Figure $3\mathrm{.}1$ Question $2.$

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