Design a PLC ladder logic program for the following temperature control system to maintain a room between 20C and 30C using a combination of an AC unit, a HEATER, four (4) normally open thermostats (T_20, T_22, T_28, and T_30), and a MASTER normally open switch using the following sequence: If the temperature reaches 30C, which activates T_30, the AC must be energized and kept energized until the temperature decreases to 28C, which deactivates T_28. If the temperature reaches 20C, which deactivates T_20, the HEATER must be energized and kept energized until the temperature increases to 22C, which activates T_22. The MASTER switch must be turned on for both the AC and HEATER to operate. Use Latch and Unlatch instructions for this control process. Assign sequential addresses to the input and output devices starting from bit 0.