Question 34
Evaluate the sum $$\begin{aligned}&\left\lfloor\frac11\right\rfloor+\left\lfloor\frac21\right\rfloor+\left\lfloor\frac12\right\rfloor+\left\lfloor\frac22\right\rfloor+\left\lfloor\frac32\right\rfloor+\left\lfloor\frac42\right\rfloor\\&+\left\lfloor\frac13\right\rfloor+\left\lfloor\frac23\right\rfloor+\left\lfloor\frac33\right\rfloor+\left\lfloor\frac43\right\rfloor+\left\lfloor\frac53\right\rfloor+\left\lfloor\frac63\right\rfloor+\cdots\end{aligned}$$ up to the 2015th term.