Cono Sur Olympiad 2012
Source: Problem 5
November 3, 2012
rotationcombinatorics proposedcombinatorics
Problem Statement
5. and play alternating turns on a board with enough pieces of the following types:Type : Piece like Type but with one square at the right of the bottom square.
Type : Piece of consecutive squares, one over another.
Type : Piece of square.At his turn, must put a piece of the type on available squares of the board. , at his turn, must put exactly one piece of each type on available squares of the board. The player that cannot do more movements loses. If starts playing, decide who has a winning strategy.Note: The pieces can be rotated but cannot overlap; they cannot be out of the board. The pieces of the types , and can be put on exactly , and squares of the board respectively.