Multi-dimensional arrays

6) The game Othello is played on an 88 board of squares, each of which is either empty or it holds a Black piece or a White piece. On Black's move it is legal for them to place a new piece on an empty square x,y iff there is a straight line of one or more White pieces from x,y to another square holding a Black piece. For example, on this board:

it is legal for Black to place a piece on any of the squares marked by a small circle: (3,1), or (4,1), or (4,2), or (6,3), or (3,5), or (5,5).

Write the following method.

// returns true iff Black can place a piece at x,y on board

public boolean canPlaceAt(int x, int y, int[][] board)

board is an 88 array where each element is 0 if the corresponding square is empty, 1 if it is occupied by a Black piece, and -1 if it is occupied by a White piece. Squares are numbered 0..7 up and across from the bottom-left-hand corner.

You will probably find it helpful to define a private helper method that checks whether the new piece makes a line in one direction from x,y.