A robotic machine loading required three conditions $($X$1,$ X$2$ & X$3)$ to be satisfied before loading sequence was initiated. Determine the Boolean algebra expression and the logic network diagram for this interlock system. $$ Let X$1=$ whether the raw work part is present at the conveyor stopping point $($X$1=1$ for present, X$1=0$ for not present$).$ Let X$2=$ whether the press cycle for the previous part has completed $($X$2=1$ for completed, X$2=0$ for not completed$).$ Let X$3=$ whether the previous part has been removed from the die $($X$3=1$ for removed, X$3=0$ for not removed$).$ Let Y $=$ whether the loading sequence can be started $($Y$=1$ for begin, Y$=0$ for wait$).$