UMP test power for a shifted uniform

Let $X$ be a single observation from a distribution having the probability density function $f_\theta(x) = \begin{cases} 1, & \theta < x < \theta + 1 \ 0, & \text{otherwise} \end{cases}$, where $\theta \in (-\infty, \infty)$. For testing $H_0: \theta \le 0$ against $H_1: \theta > 1$, let $\beta$ be the power of the uniformly most powerful test of level 0.05. Then $225 \beta$ equals ________ (answer in integer).