Draw a transistor diagram $($similar to those on Lecture $3,$ slide $26)$ showing how $3$ transistors can be used to implement a $3-$input NOR gate, which outputs $1$ when all three inputs are $0,$ and outputs $0$ otherwise.

Be sure to label the $3$ inputs $,$ and $($:$V_3\},$ the output $(($:$V_{\text{o}\text{u}\text{t}}\},$ the Source and Ground.