n trees in the Dark Forest. What is the highest power you can achieve by gaining control over a single additional tree somewhere in the forest?
In the Dark Forest, the territory you control is defined by the smallest convex polygon that contains all trees you control. Your power is defined by the area of the territory you control. You currently control k k out of n n trees in the Dark Forest. What is the highest power you can achieve by gaining control over a single additional tree somewhere in the forest?
(图片来源网络,侵删)