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no of different numbers in [i^2/2015] (Chile 2015 L2 P4)

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October 5, 2021
floor functioncombinatoricsnumber theoryalgebra

Problem Statement

Find the number of different numbers of the form ⌊i22015⌋\left\lfloor\frac{i^2}{2015} \right\rfloor, with i=1,2,...,2015i = 1,2, ..., 2015.
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