Problems
The Angle
The Angle
The angle between the hour and the minute hand is always among 0 and 180 degrees (including 0 and 180). For example, the angle between two hands of a clock at 12:00 is 0 while at 6:00 the angle is 180 degrees. Find the angle between the hands of a clock at some given time (from 12:00 till 11:59).
Input data
Each line represents a separate test case and consists of two numbers: the first number stands for the hour (from 0 till 12) and the second stands for the minute (from 0 till 59). The input ends when two numbers are both zero.
Output data
For each test case print in a separate line the minimum angle between the two hands in format given in the output.
Examples
Input example #1
12 0 12 30 6 0 3 0 0 0
Output example #1
At 12:00 the angle is 0.0 degrees. At 12:30 the angle is 165.0 degrees. At 6:00 the angle is 180.0 degrees. At 3:00 the angle is 90.0 degrees.