A two-dimensional array (N X M) should be used to represent the number of times the bug reached each tile on the floor. All cells of this array should be initialized to zero. The position of the bug on the floor is represented by the coordinates (i-bug, j-bug). The eight possible moves the bug can make at each time interval are represented by the tiles located at [i-bug + i-move(k), j-bug + j-move(k)] where 1