Which of the following are regular sets?
I. $\left\{a^nb^{2m} \mid n \geq 0, m \geq 0 \right\}$ II. $\left\{a^nb^m \mid n =2m \right\}$ III. $\left\{a^nb^m \mid n \neq m \right\}$ IV. $ \left\{xcy \mid x, y, \in \left\{a, b\right\} ^* \right\} $
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