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:
import math

(a,b,c)=  map(int,input().split())

h = math.sin(math.radians(c)) * b
L = a + b +math.sqrt(a*a+b*b-(2*a*b*math.cos(math.radians(c))))
S = h * a / 2
print (S)
print (L)
print (h)