$[10$ pts$]$ Convert the following transition graph into a finite automaton by filling in the $($final$)$

table and identifying the start and accept states. $($You do not have to draw the state transition

diagram for the FA $-$ filling in the final table is enough $-$ note: this isn't the intermediary table$)$

Note: there may be more rows than you need in the table $($please show work i'll thumbs up$)$