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A few notes:
1) In a constructor, you do not create the Object (with the exception of very specific situations). So, this statement:

Board chessBoard = new Board();

will be in your Main, or...

Ok, this statement:

Board(String[] occupied){

indicates you are declaring either a method or a constructor.
QUESTION #1: Is this supposed to be a method or a constructor?

If it is a...

Ok, well I guess I have a question that is important. How is your professor wanting you to indicate a square as "occupied"?

As for that function, or what appears to be an alternative constructor,...

1) Ok, well when you create an array of ints using:

int Board[][] = new int [8][8];

You are saying you are using a two dimensional int array. A two dimensional array is an array that holds...

for( int i = 0; i < 8; i++);
for( int j; j < 8; j++);


Those are issues. See the post I provided here regarding this issue:...