Statistical Inference — verifying a most powerful test via likelihood ratios

Suppose the probability mass function of a random variable X under the parameter $\theta=\theta_0$ and $\theta=\theta_1$, $\theta_1\neq\theta_0$ is given by: for X=0,1,2,3, $p_{\theta_0}(x)=0.01,0.04,0.50,0.45$ and $p_{\theta_1}(x)=0.02,0.08,0.40,0.50$. Define a test function $\varphi$ such that $\varphi(x)=1$ if $x=0,1$; $0$ if $x=2,3$. For testing $H_0:\theta=\theta_0$ against $H_1:\theta=\theta_1$ the test $\varphi$ is