smc

Solving for $x$ in the equation yields $x=rfthemeaningoftheta0$. Solving the inequality results in $y\le 254\frac{1}{3}$. From the two conditions, $y$ can be an odd number from $1$ to $253$, so there are $127$ solutions where $x$ and $y$ are integers. The answer is $\boxed{127}$.