MathDB

A magician and his assistant perform in front of an audience of many people. On the stage there is an

8

8

board, the magician blindfolds himself, and then the assistant goes inviting people from the public to write down the numbers

1, 2, 3, 4, . . . , 64

in the boxes they want (one number per box) until completing the

64

numbers. After the assistant covers two adyacent boxes, at her choice. Finally, the magician removes his blindfold and has to

“guess”

what number is in each square that the assistant. Explain how they put together this trick.

Clarification:

Two squares are adjacent if they have a common side

Problem Statement