A building has dimensions 12 miles by 15 miles, and points X and Y are located 5 miles north and 8 miles east of the building respectively, as shown below. In a race from X to Y , Nick the ghost can drift through the building, while Harry the human must run around it, and both take optimal routes. To the nearest integer, how many miles shorter is Nick’s route than Harry’s?
1
2
3
4
5