Let $M=(Q,,,q_0,F),$ where $Q=\{q_0,q_1,q_2,q_3,q_4\},=\{a,b\},F=\{q_2,q_4\}$ and

$(q_0,a)=q_1,$

$(q_0,b)=q_3,$

$(q_1,a)=q_2,$

$(q_2,b)=q_3,$

$(q_3,b)=q_4,$

$(q_4,a)=q_1.$

$($a$)$ Draw a transition diagram for $M.$

$($b$)$ Describe $($in set notation$)$ the language accepted by $M.$