KöMaL 2008 B4076

Lisa and Sam are playing the following game: Lisa marks a point $L_1$ on side $AB$ of a given triangle ABC . Then Sam chooses a point $S$ on side $BC$. Finally, Lisa marks a point $L_2$ on side $CA$. Lisa is trying to make the area of triangle $L_1 SL_2$ as large as possible, and Sam is trying to make it as small as possible. What will be the area of triangle $L_1 SL_2$ if both of them play as well as possible?