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

I = (raw_input()).split(" ")
a = int(I[0])*1.0
b = int(I[1])*1.0
C = (int(I[2])*math.pi)/180

print (1.0/2)*a*b*math.sin(C)
print math.sqrt(a*a + b*b - 2*a*b*math.cos(C)) + a + b
print b*math.sin(C)