There is a military base lost deep in the jungle. It is surrounded by nnn watchtowers with ultrasonic generators. In this problem watchtowers are represented by points on a plane. Watchtowers generate ultrasonic field and protect all objects that are strictly inside the towers’ convex hull. There is no tower strictly inside the convex hull and no three towers are on a straight line. The enemy can blow up some towers. If this happens, the protected area is reduced to a convex hull of the remaining towers. The base commander wants to build headquarters inside the protected area. In order to increase its security, he wants to maximize the number of towers that the enemy needs to blow up to make the headquarters unprotected
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