In the plane you have 2018 points between which there are not three on the same line. These points are colored with 30 colors so that no two colors have the same number of points. All triangles are formed with their three vertices of different colors. Determine the number of points for each of the 30 colors so that the total number of triangles with the three vertices of different colors is as large as possible. combinatoricscombinatorial geometryColoring