Question 168
There is a figure of a prince on a field of a $6 \times 6$ square chessboard. In one move the prince can jump either horizontally or vertically. The lengths of the jumps are alternately one or two fields, and the first jump is onto the adjacent (next) field. Decide whether one can choose the initial field for the prince so that the prince visits every field of the chessboard in an appropriate sequence of $35$ jumps.