You are asked to find the angle between the minute hand and the hour hand on a regular analog clock. Assume that the second hand, if there were one, would be pointing straight up at the 12. Give all angles as the smallest positive angles. For example 9: 00 is 90 degrees: not -90 or 270 degrees. Input: The input is a list of times in the form H: M, each on their own line, with 1 lessthanorequalto H lessthanorequalto 12 and 00 lessthanorequalto M lessthanorequalto 59. The input is terminated with the time '0: 00'. Note that H may be represented with 1 or 2 digits (for 1-9 or 10-12, respectively): M is always represented with 2 digits (the input times are what you typically see on a digital clock). Output: The output displays the smallest positive angle in degrees between the hands for each time. The answer should between 0 degrees and 180 degrees for all input times. Display each angle on a line by itself in die same order as the input. The output should be rounded to the nearest 1/1000, i.e., three places after the decimal point should be printed