Question 17
Determine the maximum integer solution of
$$\left\lfloor\frac{x}{1!}\right\rfloor+\left\lfloor\frac{x}{2!}\right\rfloor+\cdots+\left\lfloor\frac{x}{10!}\right\rfloor=1001.$$
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.
$$\left\lfloor\frac{x}{1!}\right\rfloor+\left\lfloor\frac{x}{2!}\right\rfloor+\cdots+\left\lfloor\frac{x}{10!}\right\rfloor=1001.$$
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.