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:
# coding:utf-8
import math
array = map(int, raw_input().split())
a = array[0]
b = array[1]
C = array[2]
rad = math.radians(C)
S = a * b * math.sin(rad) / 2.0
L = a + b + math.sqrt(math.pow(a,2) + math.pow(b,2) - 2 * a * b * math.cos(rad))
h = b * math.sin(rad)
print S
print L
print h