Give a DPDA for the following languages $($DRAW THEM PLEASE$)$:

i$)$ L$1=$ L$($a$*$ab$*$b$).$

ii$)$ L$2=\{$wb$($w$^$R$)|$ w in $($ab$)*\}.$

iii$)$ L$3=\{$wa$($w$^$R$)|$ w in $($ab$)*\}$