Size and power from a pmf table

Let $f_{0}$ and $f_{1}$ be the probability mass functions given by

| $x$ | 1 | 2 | 3 | 4 | 5 | 6 | |—|—|—|—|—|—|—| | $f_{0}(x)$ | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.5 | | $f_{1}(x)$ | 0.1 | 0.1 | 0.2 | 0.2 | 0.2 | 0.2 |

Consider the problem of testing the null hypothesis $H_{0}:X\sim f_{0}$ against $H_{1}:X\sim f_{1}$ based on a single sample $X$. If $\alpha$ and $\beta$, respectively, denote the size and power of the test with critical region $\{x\in\mathbb{R}:x>3\}$, then $10(\alpha+\beta)$ is equal to __________.