Question 7
In this paper, let $\lfloor x\rfloor$ denote the greatest integer not exceeding $x$. For examples, $\lfloor5\rfloor=5$, $\lfloor2.8\rfloor=2$, and $\lfloor-2.3\rfloor=-3$.
How many distinct integers are there in the following sequence: $$\left\lfloor\frac{1^2}{2015}\right\rfloor,\left\lfloor\frac{2^2}{2015}\right\rfloor,\left\lfloor\frac{3^2}{2015}\right\rfloor,\ldots,\left\lfloor\frac{2015^2}{2015}\right\rfloor?$$
How many distinct integers are there in the following sequence: $$\left\lfloor\frac{1^2}{2015}\right\rfloor,\left\lfloor\frac{2^2}{2015}\right\rfloor,\left\lfloor\frac{3^2}{2015}\right\rfloor,\ldots,\left\lfloor\frac{2015^2}{2015}\right\rfloor?$$