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51034 - Area of 3 Shapes

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

Area of 3 Shapes

Question: Read the information for three geometrical shapes, find the one with the largest area. You will be given the radius of a circle, base and height of a triangle and the two sides of a rectangle, Find the one with the greatest area.

Input specification: The information for each shape is given in a line.

  • the radius of a circle (rad): an integer,
  • base and height of a triangle: two integers,
  • two sides of a rectangle: two integers
where all the numbers are between 1 and 100 thousand.

Output specification: Show one floating number with two digits precision, the area of the largest object.

Sample Input I
11
60 19
50 43 		Sample Input II
20
45 45
47 17
Sample Output I
2,150
 		Sample Output II
1,256.64

Explanation: for the first sample:

  • Area of the circle is: 380.13
  • Area of the triangle is: 570
  • Area of the rectangle is: 50 * 43 = 2,150
And thus, the largest area among the objects given is 2,150

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