CF1208G Polygons

You are given two integers $ n $ and $ k $ . You need to construct $ k $ regular polygons having same [circumcircle](https://en.wikipedia.org/wiki/Circumscribed_circle), with distinct number of sides $ l $ between $ 3 $ and $ n $ . Illustration for the first example.You can rotate them to minimize the total number of distinct points on the circle. Find the minimum number of such points.

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In the first example, we have $ n = 6 $ and $ k = 2 $ . So, we have $ 4 $ polygons with number of sides $ 3 $ , $ 4 $ , $ 5 $ and $ 6 $ to choose from and if we choose the triangle and the hexagon, then we can arrange them as shown in the picture in the statement. Hence, the minimum number of points required on the circle is $ 6 $ , which is also the minimum overall possible sets.