X and Y are the number of electrons involved, respectively during the oxidation of $I^{-}$to $I_2$ and $S^{2-}$ to $S$ by acidified $\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$. The value of $\mathrm{X}+\mathrm{Y}$ is $\_\_\_\_$。
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