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2012 PUMaC Algebra B5

Source:

October 5, 2019
floor functionalgebra

Problem Statement

Considering all numbers of the form n=⌊k32012⌋n = \lfloor \frac{k^3}{2012} \rfloor, where ⌊x⌋\lfloor x \rfloor denotes the greatest integer less than or equal to xx, and kk ranges from 11 to 20122012, how many of these nn’s are distinct?
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