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

(n,m,o) = map(float, raw_input().split())
#s=(n+m+o)/2.0
c=math.radians(o)
cs=math.sqrt(n**2+m**2-2*n*m*math.cos(c))
h=m*math.sin(c)
#ans=(s*(s-m)*(s-n)*(s-o))**0.5
#print ((n-o)**2 + (m-p)**2)**0.5
#print ans
S=h*n/2
L=n+m+cs
print S
print L
print h