$($a$)$ Draw the Event$-$Driven Petri Net $($EDPN$)$ for

$$ Port events: P $=\{$p$1,$ p$2\}$

$$ Data places: D $=\{$d$1,$ d$2,$ d$3\}$

$$ Transitions: S $=\{$s$1,$ s$2,$ s$3,$ s$4\}$

$$ In $=\{(($p$1,$ d$1),$ s$1),(($p$2,$ d$1),$ s$2),(($p$1,$ d$2),$ s$3),(($p$2,$ d$2),$ s$4)\}$

$$ Out $=\{($s$1,$ d$2),($s$2,$ d$2),($s$3,$ d$3),($s$4,$ d$3)\}$

$($b$)$ Describe the transition enabling the firing sequences for the following marking sequence. If there is a

transition can be fired, what is the following marking tuple $($you can show by either drawing on the petri

nets or the expressions$).$

$$ m$1=(0,0,1,0,0)$

$$ m$2=(1,0,2,0,0)$

$$ m$3=(0,0,0,1,0)$

$$ m$4=(1,0,0,1,0)$

$$ m$5=(0,0,0,0,1)$

$$ m$6=(0,1,0,2,1)$

$$ m$7=(0,0,0,1,0)$