A regular octahedron is a three-dimensional geometric shape, a polyhedron with eight equal faces and twelve equal edges. Have you ever seen 8-sided dice? That's a regular octahedron. In this task you need to calculate its area and volume.
Write a program that reads a positive integer representing the edge length of the regular octahedron and prints two values – its area and volume (in that order), both rounded to 2 decimal places and split by one space.
Formula to calculate the area of an octahedron (a is edge length):
Formula to calculate the volume: