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:
#ITP1_10-B Triangle
import math as m
a,b,C = map(float,input().split(" "))
C = m.pi*C/180
h = b*m.sin(C)
print( a*h*0.5 )
print( (a**2+b**2 - 2*a*b*m.cos(C))**0.5 + a + b )
print( h )