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50744 - The Smallest Perimeter

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Question by Ibrahim Mesecan.

The Smallest Perimeter

You are given the information about 3 different shapes: Circle, Rectangle, Isosceles triangle.

Question: Find the total perimeter for n shapes and the perimeter of the shape with the smallest perimeter.

Note: Use 3.14159 for PI.

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. Circle
    2. Rectangle
    3. Isosceles triangle
  2. If given shape type is
    • 1 (circle), you will be given an integer radius.
    • 2 (rectangle), you will be given two integers a and b.
    • 3 (isosceles triangle), you will be given two integers b and h.

Output specification
Show two information: 1) total perimeter for n shapes (two digits precision) and 2) The perimeter of the shape with the smallest perimeter.

Sample Input I
4
2 12 16
2 20 1
1 3
3 9 1
Sample Output I
135.07 18.22

Explanation:
There are 4 shapes given

  1. Shape 1 is a rectangle and its perimeter is 56.
  2. Shape 2 is also a rectangle with a perimeter of 42.
  3. Shape 3 is a circle with a perimeter of 18.85.
  4. Shape 4 is an isosceles triangle with a perimeter of 18.22. And it's the shape with the smallest perimeter.
So, the total perimeter is 135.07 (56 + 42 + 18.845 + 18.22)


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