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SMO 2007 Open Round 1 Question 12

SMO · SMO 2007 Open Round 1

Question 12

Determine the number of distinct integers among $\left\lfloor1^2/2007\right\rfloor,\left\lfloor2^2/2007\right\rfloor,\ldots,\left\lfloor2007^2/2007\right\rfloor$.