Problem $4[10$ points$]$ Consider the following program. Assume Pin $6$ goes to the anode of and LED and Pin A$0$ is connected to the slider of a potentiometer wired$-$up as a voltage divider, as was done in class.

int led$\_$pin $=6$;

int pot$\_$pin $=A0$;

int output;

int led$\_$value;

void setup$()($

pinMode$($led$\_$pin, OUTPUT$)$;

$\}$

void loop$()1$

output $=$ analogRead$($pot$\_$pin$)$;

$12$

$13.$ led$\_$value $=$ map$($output$,0,1023,255,0$;

$14$ analogwrite$($led$\_$pin, led$\_$value$)$;

$15$delay$(10)$;

$16\}$

a$)$ Since the potentiometer is a user interface device, is it necessary to use the constrain function to insure that led$\_$value never exceeds $255?$ no