Door Security System

A simple security system for two doors consists of a card reader and a keypad $($Fig$.1).$ A person may open a particular door if he or she has a card containing the corresponding code and enters an authorized keypad code for that card. The outputs from the card reader are as follows:

$\backslash$table$[[,$A$,$B$],[$No card inserted,$0,0],[$Valid code for door $1,0,1],[$Valid code for door $2,1,1],[$Invalid card code,$1,0]]$

To unlock a door, a person must hold down the proper keys on the keypad and then insert the card in the reader. The authorized keypad codes for door $1$ are $101$ and $110,$ and the authorized keypad codes for door $2$ are $101$ and $011.$ If the card has an invalid code or if the wrong keypad code is entered, the alarm will ring indefinitely with a $66\%$ duty cycle $($a complete cycle having a time period of $3$ seconds$)$ when the card is inserted. If the correct keypad code is entered, the corresponding door will be unlocked for $10$ seconds when the card is inserted. Any of the doors can only be accessed $10$ times in $5$ mins. The door should not be unlocked further during the remaining of those $5$ mins if they have been accessed $10$ times. After $5$ mins, the doors can be accessed again for $10$ times for the next $5$ mins $.$ This process repeats itself indefinitely.

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Design, document, debug and simulate the ladder logic diagram for the above security system in LogixPro simulator. Consider the inputs as toggle switches.