2016 AIME II Problem 7

Squares ABCD and EFGH have a common center and \overline{AB} || \overline{EF}. The area of ABCD is 2016, and the area of EFGH is a smaller positive integer. Square IJKL is constructed so that each of its vertices lies on a side of ABCD and each vertex of EFGH lies on a side of IJKL. Find the difference between the largest and smallest positive integer values for the area of IJKL.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.