Question 30
In an $n \times n$ checkerboard, the rows are numbered 1 to $n$ from top to bottom, and the columns are numbered 1 to $n$ from left to right. Chips are to be placed on this board so that each square has a number of chips equal to the absolute value of the difference of the row and column numbers. If the total number of chips placed on the board is 2660, find $n$.