Problem C - Watching Watches
It has been said that a watch that is stopped keeps better time than
one that loses 1 second per day. The one that is stopped reads the
correct time twice a day while the one that
loses 1 second per day is correct only once every 43,200 days.
This maxim applies to old fashioned 12-hour analog watches, whose hands move
continuously (most digital watches would display nothing at all if
stopped).
Given two such analog watches, both synchronized to midnight, that keep time at
a constant rate but run slow by k and m
seconds per day respectively, what time will the watches show
when next they have exactly the same time?
The Input
Input consists of a number of lines, each with two distinct
non-negative integers
k and m between
0 and 256, indicating the number of seconds per day that
each watch loses.
The Output
For each line of input, print k, m, and the time displayed on each watch,
rounded to the nearest minute. Valid times range from
01:00 to 12:59
Sample Input
1 2
0 7
2 13
Output for Sample Input
1 2 12:00
0 7 10:17
2 13 04:22