Jack buys a new house. The floor plan as shown in Figure 1. 1 Room T 3 Room U Rooms 2 Room V Room W 6 Figure 1 i. i. He wanted to give a tour for his friend. Is that possible for them to walk through every doorway (label as 1, 2, 3, 4, 5, 6 and 7) exactly once? If so, which room must they begin and end the tour? Explain. (2 marks) Is it possible to tour the house visiting each room (label as S, T, U, V, W) exactly once (not necessary using every doorway)? Explain. (2 marks)