Likelihood ratio with different supports

Let $X_1,X_2$ be a random sample from a population having probability density function f ∈ {$f_0,f_1$} where $f_0(x)=1/2$ if 0 ≤ x ≤ 2 and 0 otherwise, and $f_1(x)=1/4$ if 0 ≤ x ≤ 4 and 0 otherwise. For testing the null hypothesis $H_0:f=f_0$ against the alternate hypothesis $H_1:f=f_1$, the power of a most powerful test of size $\alpha =0.05$ is equal to