A tourist place has four places of interest—a fort, a garden, a temple and a museum. There is only one hotel and a cinema theatre. All the roads are two-way and connect either north and south or east and west. There are no other diagonally interconnecting roads. The places are situated as follows:
(i) The temple is 1 km to the west of the hotel and is only connected to the hotel by one two-way road.
(ii) The museum is 1 km to the east of cinema theatre, which is 2 km to the north of the fort.
(iii) The garden is 2 km to the west of the fort which is 3 km to the south of the hotel.
If a tourist starts from her hotel and visits the fort and the museum and comes back, how much minimum distance she has to travel?