SMO 2015 - Junior - Vòng 1 Câu hỏi 15

Tính tổng $\left\lfloor\dfrac{2^2}3\right\rfloor+\left\lfloor\dfrac{3^2}4\right\rfloor+\left\lfloor\dfrac{4^2}5\right\rfloor+\cdots+\left\lfloor\dfrac{99^2}{100}\right\rfloor$.