In aqueous solution, the acid HIO undergoes disproportionation as shown in the equation below, where $m$, $n$, $p$ and $q$ are the smallest whole numbers in their simplest ratio. $m\text{HIO} \rightarrow n\text{I}_2 + p\text{HIO}_3 + q\text{H}_2\text{O}$ Oxidation numbers may be used to balance this equation. What are the values of $n$ and $p$?
- A$n=1,\ p=2$
- B$n=2,\ p=1$
- C$n=4,\ p=1$
- D$n=4,\ p=2$