2. 5 points] In fairy chess, pieces with non-traditional types of moves are used in place of (or in addition to) the usual pieces. One such piece is called a Major, which can move one squares up the board and one square to the left or right, or (in a single move) one square up and three squares to the left or right in other words, the Major on the square marked . can move directly to any of the squares marked . (The Major can also leap over any pieces which are between the square where it starts and the square that it moves to.) Suppose that a Major starts on an infinite board at the square (0,0). Give a recursive definition for the set S of all squares that can be occupied by this Major