You work for a puzzle company and your job is to write the solutions to the puzzles that been designed.

You have been assigned to determine the solution to the puzzle called Totaling Tiles. The puzzle provides 16 tiles, each with a different number written on the tile (1-16). It also provides a board with sixteen squares. The task is to arrange the tiles in the table so that each row, column and diagonal adds to the same amount.

Determine an arrangement of the tiles so that each row, column and diagonal sums to the same total. Explain how you found your solution.

Is there more than one possible arrangement that fits the condition? If so, find others; if not, explain why you believe there is only one solution.