The 10-Digit Digital Clock


Consider a digital clock that shows both the date and time in the format HH:MM:SS Mo/Dy. For example, 14:15:56 09/03 is a possible display. Note that the clock is a 24-hour clock (times run from 00:00:00 to 23:59:59) and leading zeros are allowed.

If all ten digits 0-9 appear on the display, what is (a) the earliest, and (b) the latest date and time in the year this could happen?

Source: Original.


Solution:
(a) The earliest time of the year is 17:48:59 03/26
(b) The latest time of the year is 17:56:43 09/28
(Received from Lynne Onitsuka and Ken Burres)
Mail to Ken