Question 20
Given
$$x=\lfloor1^{1/3}\rfloor+\lfloor2^{1/3}\rfloor+\lfloor3^{1/3}\rfloor+\cdots+\lfloor7999^{1/3}\rfloor,$$
find $\lfloor x/100\rfloor$. Here $\lfloor y\rfloor$ is the greatest integer less than or equal to $y$; for example, $\lfloor2.1\rfloor=2$, $\lfloor30\rfloor=30$, $\lfloor-10.5\rfloor=-11$.
$$x=\lfloor1^{1/3}\rfloor+\lfloor2^{1/3}\rfloor+\lfloor3^{1/3}\rfloor+\cdots+\lfloor7999^{1/3}\rfloor,$$
find $\lfloor x/100\rfloor$. Here $\lfloor y\rfloor$ is the greatest integer less than or equal to $y$; for example, $\lfloor2.1\rfloor=2$, $\lfloor30\rfloor=30$, $\lfloor-10.5\rfloor=-11$.