Modular arithmetic, even when disguised as a rounding problem, can be just as simple, if not simpler. The technique discussed here works for any constant N , delivers solutions even when x has 32 or ...

We use modular arithmetic all the time. It's useful for situations where you want to start over, time being the most obvious. Say it's 9 o'clock. What time will it be 5 hours from now? Unless you ...