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
a, b, c = map(float, raw_input().split())
h = b * math.sin(math.pi*c/180)
s = a * h / 2
x = math.sqrt(h**2 + (a-b*math.sin(math.pi*(90-c)/180))**2) 
l = a + b + x
#print "%.8f, %.8f, %.8f" % (s, l, h)
print "\n".join([str(s), str(l), str(h)])
#print "%.1f, %.1f, %.1f" % (s, l, h)