Question 156
The country Plato has the shape of a convex polygon in vertices of which there are border towers. Trucker needs to drive through all towers, and for every kilometre he is ought to pay one puylyk (state currency) to swindlers from the government (route does not have to be closed, the only condition is to visit each tower, and one can go in any direction without going beyond the state border). The perimeter of the state is 3000 kilometres and diameter is 1000 kilometres. Which guaranteed amount of puylyks will the trucker pay to swindlers?
*The diameter of a polygon is the largest distance between any pair of vertices.*
*The diameter of a polygon is the largest distance between any pair of vertices.*