5. A and B play alternating turns on a 2012×2013 board with enough pieces of the following types:Type 1: Piece like Type 2 but with one square at the right of the bottom square.
Type 2: Piece of 2 consecutive squares, one over another.
Type 3: Piece of 1 square.At his turn, A must put a piece of the type 1 on available squares of the board. B, 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 A 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 1, 2 and 3 can be put on exactly 3, 2 and 1 squares of the board respectively. rotationcombinatorics proposedcombinatorics