In this article we use (finite state) automatons to count 698,438,863,898,480,640 passwords in a couple milliseconds.
Syncro is a beautiful game where you have to unite all the petals in a single flower. In how many moves can you do it?
Think of a number between 1 and 10. Multiply it by 9 and subtract 1. Now close your eyes. It got dark, didn't it?