This sample offers just a little taste of what we have to offer.
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Let’s get your brain warmed up for our Problem with a challenge. Lisa and her friends are standing in a circle in the schoolyard, getting ready to play a game. Each child in the circle has two neighbors, one on either side, and it just so happens that the neighbors of each child always have the same gender. There are 6 girls in the circle, and at least one boy. How many boys are there?
A farmer with a gigantic apple orchard has hired you to pick apples for him. He has given you 8 boxes, which happen to be arranged in a circle:
Your job is to place apples in the boxes, making sure that there are no empty boxes. Easy enough, but unfortunately for you, the farmer is also a retired mathematician! To test your math prowess, he instructs you to place the apples so that one simple rule is satisfied: the number of apples in any pair of adjacent boxes must differ by exactly 1. In other words:
Whenever two boxes are next to each other, one box must have exactly 1 more apple than the other.