Let’s start with a statement of the problem.
Use cases
The problem – part 1
About once or twice a month, my four delightful, intelligent, and playful grandchildren come to visit my wife and me. Like most grandparents, we keep a box full of toys in our upstairs game room for them to play with during their visits. The first thing they do upon arrival – at least the bigger grandkids– is to take every single toy out of the toy box and start playing. This results in the the following photo – basically toys randomly and uniformly distributed throughout the playroom. Honestly, you could not get a better random distribution. They are really good at this. Since, as grandparents, our desire is to maximize...