When a part is placed on the conveyor at position $1($Pos$1),$ it automatically moves to position $2$

$[10]$

$($Pos$2).$ Upon reaching position $2,$ it stops and is stamped. After stamping, it automatically moves to position $3($Pos$3).$ It stops at $3,$ where the part is removed manually from the conveyor. Assume that only one part is on the conveyor at a time.

The three visual indicators are showing status of the system:

Light: Switch ON when part is detected by LS$1$ and switch OFF only when part has reached LS$3$

Go: Conveyor is running

Stop: Conveyor is stopped.

LS$1,$ LS$2,$ and LS$3$ are magnetic proximity sensors$.$

LSUP and LSDN are two limit switch to sense the position of stamper cylinder.

Up & Dn are two solenoids to control operation of double acting stamping cylinder.

Conveyor motor is switched ON$/$OFF to get the desired conveyor movement.

Draw the ladder logic diagram for the said problem. Also, show the connection diagram of different inputs and outputs connected to the input$/$output modules.