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 PYTHON):

Solution:
import math

a, b, degC = [ float( i ) for i in raw_input( ).split( " " ) ]
radC = degC*math.pi/ 180.0
h = math.sin( radC ) * b
S = (a*h)/2
x = math.cos( radC ) * b
x -= a
c = math.sqrt(  x**2 + h**2  ) 
L = a + b + c

print( S )
print( L )
print( h )