Problem No$.3$: $(30$ pts$.)$ please create using RSlogix

Design a PLC ladder logic program to control the operation of an alarm system using the following sequence:

$-$ An ALARM must be energized and stay energized $($latched$)$ when a limit SWITCH is activated once or when a motion SENSOR is activated three $(3)$ times within a space of $30$ seconds.

$-$ The ALARM can only be de$-$energized $($unlatched$)$ by pushing a hidden normally$-$open momentary$-$contact BUTTON.

$-$ Hint: latch the timer with a sensor activation and use a count$-$up instruction to count the number of sensor activations. Reset the count and unlatch the timer if the timer is done.

$-$ Program SWITCH, SENSOR, and BUTTON using bits $0,1,$ and $2$ of the input module respectively.

$-$ Program ALARM using bit $0$ of the output module.