12.4.17 Various Olympiad Problems

Condition: Piglet and Winnie the Pooh decided to eat a square chocolate 7x7. They alternately eat pieces from it in the cells: Piglet \ (1 \ Times 1 \), Winnie the Pooh \ (-2 \ Times 1 \) or \ (1 \ Times 2 \), (pieces can not be tracked with the edge). The first move makes a patch. If there is not a single piece \ (2 \ Times 1 \) or \ (1 \ Times 2 \) before the Winnie-Pooh’s progress in the chocolate. Which of the friends will be able to eat more than half of the entire chocolate, regardless of the actions of the second?