Question 127
On a $5 \times 5$ chessboard, a king moves according to the following rules:
- It can move one square at a time, horizontally, vertically, or diagonally. (These are the usual moves of the king in chess.)
- It can move in each of the eight allowable directions at most three times in its entire route.
The king can start at any square. Determine
(a) whether the king can visit every square;
(b) whether the king can visit every square except the center.
- It can move one square at a time, horizontally, vertically, or diagonally. (These are the usual moves of the king in chess.)
- It can move in each of the eight allowable directions at most three times in its entire route.
The king can start at any square. Determine
(a) whether the king can visit every square;
(b) whether the king can visit every square except the center.