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, C] = [float(x) for x in raw_input().split()]
C = math.radians(C)
c = math.sqrt(a ** 2.0 + b ** 2.0 - 2.0 * a * b * math.cos(C))
L = a + b + c
S = 0.5 * a * b * math.sin(C)
h = S / a * 2.0

print S, L, h