Consider the following two equivalent logic equations for Z$.$

Z $=(($A$$B$)+($A$$C$)+($B$$C$))($A$$B$$C$)$

Z $=($A$$B$$C$)+($A$$B$$C$)+($A$$B$$C$)$

Draw a schematic diagram for each equation with minimum number of $2-$input gates.

Answer which equation is more efficient in terms of the number of $2-$input gates.

Note that the negator is not counted for this.