Question 7
The figure below is a map of the Hermitage Museum in Saint Petersburg, Russia.
Victor the beaver enters through the door marked by an arrow. He wants to tour the rooms according to these rules:
- Every time he enters a room, he checks its adjacent rooms, sharing a door, to see whether there is a room he has not yet reached.
- If there is, he moves to the adjacent room with the smallest number that he has not yet toured.
- If not, he tours the current room.
- After finishing a room (A), he returns to the room in which he stood immediately before entering (A).
Simply passing through a room does not count as touring it.
Which room does Victor tour fifth?
Victor the beaver enters through the door marked by an arrow. He wants to tour the rooms according to these rules:
- Every time he enters a room, he checks its adjacent rooms, sharing a door, to see whether there is a room he has not yet reached.
- If there is, he moves to the adjacent room with the smallest number that he has not yet toured.
- If not, he tours the current room.
- After finishing a room (A), he returns to the room in which he stood immediately before entering (A).
Simply passing through a room does not count as touring it.
Which room does Victor tour fifth?