Problem: 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.

Example

Input

4 3 90


Output

6.00000000
12.00000000
3.00000000

Solution (in PYTHON3):

Solution:
from math import *
a,b,c = map(int,input().split())
c = radians(c)
S = a*b*sin(c)/2
print("%.10f %.10f %.10f" %(S,a+b+sqrt(a*a+b*b-2*a*b*cos(c)),2*S/a ))