
Introduction
Small problems are easier to solve than big ones, with or without the help
of a computer. For example, it is easy to see that 14 is a multiple of 7, but
determining if 12,348 is a multiple of 7 requires some thinking ... or a well-
programmed computer.
If we knew that 12,341 is a multiple of 7, then it would be easy to determine
that 12,348 is also a multiple of 7, because 12,348 is simply 12,341 + 7. But
then, it is not that easy to determine that 12,341 is a multiple of 7. But
again, if we knew that 12,334 is a multiple of 7, then it would be easy to
determine that 12,341 is also a multiple of 7, because 12,341 is simply
12,334 + 7. W