Question 1 In the system of heating and air-conditioning system (HAC), consider the user will turn on and off air-conditioning and heater depends on the weather temperature. Before that, user need to swiched On the HAC system first. If the temperature gets too hot, user will turn On the air-conditioning until it reaches a required temperature (cooling). When the temperature turn to normal, the air-conditioning and fan is switched OFF (idle). If the temperature gets too cold, the user will turn ON the heater and the fan until reaches a required temperature (heating). When the temperature gets normal, the heater and fan is switched OFF (idle). Cooling entry/ turn on AC exit turn off AC when(realTemp > upperBound) when(realTemp = upperBound) [heater installed] / turnOnFan / turnOffFan Heating entry turn on heater exit turn off heater Figure 1.0 State Transition Diagram for HAC System i. Create state transition table. ii. Identify how many test cases to cover 100% test coverage. iii. Write all possible test cases