链接:
https://ac.nowcoder.com/acm/contest/33192/B
来源:牛客网
Grammy loves geometry. Today, she takes out her precious convex polygon and plays with it.
Grammy thinks that symmetry is a fun characteristic for a convex polygon, so she draws out all the axes of symmetry on the polygon.
NIO is a naughty boy. He repeats the following operation several times. In each operation, he chooses an axis of symmetry as the rotation axis and rotates the polygon along the axis arbitrarily. Note that after rotating the polygon, the axes of symmetry will also rotate with the polygon.
Grammy wants to know the total volume that can be sweeped by the convex polygon during NIO's operations. Please help her.