You are given the information about 3 different shapes: Ellipse, Trapezoid and Hexagon.

Question: Find the total area for n shapes and the type of the shape with the biggest area.

Note: Use 3.14159 for PI and 1.732 for sqrt(3).

Input specification
You will be given an integer in the beginning: the number of shapes (n) where n is less than 2500. Then in the following n lines, you will be given information for n shapes:

1. Type of the shape
   1. Ellipse
   2. Trapezoid
   3. Hexagon
2. If ellipse is given, you will be given two integers a and b. If trapezoid is given you will be given 3 integers: a, b, h. Otherwise you will be given one integer (a)

Output specification
Show two information: 1) Total area for n shapes (two digits precision) and 2) The type of the shape with the biggest area

Explanation:
There are 4 shapes given

1. Shape 1 is a Hexagon and its area is 166.272. And it's the biggest shape among the given.
2. Shape 2 is also a Hexagon with an area of 93.528.
3. Shape 3 is an Ellipse with an area of 65.973.
4. Shape 4 is a Trapezoid with an area of 60.