Math Functions - Triangle

Time Limit : 1 sec, Memory Limit : 65536 KB
Japanese version is here

Triangle


For given two sides of a triangle a and b and the angle C between them, calculate the following properties:

  • S: Area of the triangle
  • L: The length of the circumference of the triangle
  • h: The height of the triangle with side a as a bottom edge

Input

The length of a, the length of b and the angle C are given in integers.

Output

Print S, L and h in a line respectively. The output should not contain an absolute error greater than 10-4.

Sample Input

4 3 90

Sample Output

6.00000000
12.00000000
3.00000000