Competitions

# Marathon weekend with restrictions

# 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

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

For each test case print in a separate line the minimum angle between the two hands in format given in the output.

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.