A manufacturing process has four sensors labelled W$,$ X$,$ Y$,$ and Z$.$ The system should sound an alarm if any of the following conditions arise: $$ W$,$ X$,$ Y$,$ Z are not activated at the same time. $$ X$,$ Y$,$ and Z are not activated and W is activated at the same time. $$ W and Y are not activated, and X and Z are activated at the same time. $$ W$,$ X$,$ and Z are not activated, and Y is activated at the same time. $$ X and Z are not activated, and W and Y are activated at the same time.

Derive, using a Karnaugh Map, a minimal sum$-$of$-$products function for this system that will sound the alarm when any one of the listed conditions arises. please use diagram or picture, thank you.