Question 13
Anna and Boris play a game using a $6\times8$ board that contains one token on each unit square. Anna goes first, and they take alternating turns thereafter. In her turn, Anna takes two tokens on adjacent squares in the same row or column. In his turn, Boris takes only one token. However, if Anna can no longer take two adjacent tokens when her turn comes, Boris will get all the remaining tokens. What is the maximum number of tokens Boris is guaranteed to get?