Hannibal and Clarice are still at a barbecue
Source: Chile Finals 2013 L2 p2
October 5, 2022
combinatorics
Problem Statement
Hannibal and Clarice are still at a barbecue and there are three anticuchos left, each of which it has pieces. Of the total pieces, there are chicken and one meat, the which is at the bottom of one of the anticuchos. To decide who to stay with the piece of meat, they decide to play the following game: they alternately take out a piece of one of the anticuchos (they can take only the outer pieces) and whoever wins the game manages to remove the piece of meat. Clarice decides if she starts or Hannibal starts. What should she decide?