Today we have another homework problem:

What is the earliest time of day (using a 24-hour clock) that can be written with four given digits? For instance, given the digits 1, 2, 3, and 4, times like 14:32 and 23:14 can be written, but the earliest time is 12:34. Your program should report that no time can be formed with digits 6, 7, 8 and 9.

Your task is to find the earliest time of day that can be written by four digits. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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