Count all the values

Algebra Level 3

⌊122017⌋, ⌊222017⌋, ⌊322017⌋, …, ⌊201722017⌋ \left \lfloor \dfrac{1^2}{2017} \right \rfloor , \, \left \lfloor \dfrac{2^2}{2017} \right \rfloor , \, \left \lfloor \dfrac{3^2}{2017} \right \rfloor , \, \ldots , \, \left \lfloor \dfrac{2017^2}{2017} \right \rfloor

How many distinct numbers are there in the list of numbers above?


Notation: ⌊⋅⌋ \lfloor \cdot \rfloor denotes the floor function.

Pavneet Oberoi by Pavneet oberoi
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