# Problem A

The Clock

When someone asks you what time it is, most people respond
“a quarter past five”, `15:29` or
something similar. If you want to make things a bit harder, you
can answer with the angle from the minute hand to the hour
hand, since this uniquely determines the time. However, most
people are not used to this way of specifying the time, so it
would be nice to have a program which translates this to a more
common format. Your task is to write such a program.

We assume that our clock has no second hand, and only displays the time at whole minutes (i.e., both hands only move forward once a minute). The angle is determined by starting at the hour hand and measuring the number of degrees clockwise to the minute hand. To avoid decimals, this angle is specified in tenths of a degree (so that $85.5$ degrees is written as $855$). This number is always an integer between $0$ and $3595$ (inclusive) and is, as a consequence of only measuring whole minutes, evenly divisible by $5$.

## Input

The input consists of a single integer between $0$ and $3595$ – the angle between the two hands, in tenths of a degree.

## Output

Output the time that the angle corresponds to, in the format
`hh:mm`. We assume that it’s morning,
so all times should be between `00:00`
and `11:59`.

## Scoring

Your solution will be tested on three cases. The first two give you $33$ points each, while the last gives you $34$.

Sample Input 1 | Sample Output 1 |
---|---|

855 |
01:21 |

Sample Input 2 | Sample Output 2 |
---|---|

3140 |
03:08 |