Find dfa's for the following languages on for E $=\{$a$,$b$\}.$ I. $**$L $=\{$w: $|$w$|$ mod $30\}$

II$.$ L $=\{$ w: nb $($w$)$ mod $3>1\}$

III. $**$L $=\{$w: na $($w$)$ mod $3<$ nb $($w$)$ mod $3\}$

IV$.$ L $=\{$w: $|$w$|$ mod $5=0,|$w$|5\}$