Question 183
A number $n$ is called bummed out if there is exactly one ordered pair of positive integers $(x, y)$ such that
$$
\left\lfloor x^{2} / y\right\rfloor+\left\lfloor y^{2} / x\right\rfloor=n .
$$
Find all bummed out numbers.
$$
\left\lfloor x^{2} / y\right\rfloor+\left\lfloor y^{2} / x\right\rfloor=n .
$$
Find all bummed out numbers.