Max Volume

Find the largest volume among the given three dimensional figures. There are three kinds of figures: a cone, a cylinder, and a sphere.

The volume $V$ of each figure comes from these formulas.

• Cone: $V = \frac{1}{3} \pi r^2 h$
• Cylinder: $V = \pi r^2 h$
• Sphere: $V = \frac{4}{3} \pi r^3$

Use $\pi = 3.14159$ in the calculation.

The first line contains the number of figures $n$ ($1 \le n \le 100$). Each of the next $n$ lines describes one figure. A cone starts with the letter C, followed by the radius $r$ and the height $h$. A cylinder starts with the letter L, followed by the radius $r$ and the height $h$. A sphere starts with the letter S, followed by the radius $r$ alone.

Print the largest volume among the given figures, rounded to three decimal places. No volume in the input lands exactly on a rounding boundary.