Count all the values
Algebra
Level
3
\[ \left \lfloor \dfrac{1^2}{2017} \right \rfloor , \, \left \lfloor \dfrac{2^2}{2017} \right \rfloor , \, \left \lfloor \dfrac{3^2}{2017} \right \rfloor , \, \ldots , \, \left \lfloor \dfrac{2017^2}{2017} \right \rfloor \]
How many distinct numbers are there in the list of numbers above?
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Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.
by
Pavneet oberoi