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

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