2008 AIME I Problem 7

Let S_i be the set of all integers n such that 100i\leq n < 100(i + 1). For example, S_4 is the set {400,401,402,\ldots,499}. How many of the sets S_0, S_1, S_2, \ldots, S_{999} do not contain a perfect square?

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.