Java implements the three basic trigonometry ratios as functions from the Math class. Each method takes an angle in radians and returns the value of the ratio. See the Math API to find a method to help convert degrees to radians. You can also convert manually using Math.PI/180.

Math.sin(double);
Math.cos(double);
Math.tan(double);

Given an angle in degrees, print the value of its sine, cosine and tangent.

Input

The input is an integer between ~0~ and ~90~ representing the angle in degrees.

Output

Output the angle's sine, cosine and tangent each on a new line rounded to 2 decimal places. Do not print trailing zeroes. This means that instead of 0.50, you should output 0.5.

Sample Input

30

Sample Output

0.5
0.87
0.58