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Right the Routes (Route Map Madness in the UK version) is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

A route map is posted at the bus stop. The route of each bus can be worked out by following the lines of the grid according to the following rules: 1. Buses only move toward their destination and never run back. 2. A bus turns whenever it has the option to do so.

Someone rubbed out two vertical lines on the map, so some bus routes are now wrong. Add the two lines back in to correct map. Draw the lines from an intersection on the map.

UK Version

A route map is posted at the bus stop. The route of each bus can be worked out by following the lines of the grid according to the following rules:
1. Buses always move towards their destinations and never turn back in the direction they originally came from.
2. Whenever a bus has the option to turn, it does turn.

Unfortunately, someone has rubbed out two vertical lines on the map, so some bus routes are now wrong. Can you add the two lines back in to correct the map?

Hints

Click a Tab to reveal the Hint.

The solution should not contain any lines that might offer a bus more than one choice of direction at a junction. In other words, there are no four-way intersections.

US Version

Keep the rules in mind, and try to work out which extra turns the buses must make.

UK Version

Keep the rules in mind and try to work out which extra turns the buses must make.

Make sure you draw lines in places that won't affect the buses that already reach their intended destinations. If you add lines in other places, you'll only make matters worse.

There are actually two correct solutions to this puzzle.

Start by adding a line between destinations B and C in the third column from the left. Both solutions require this section of road.

US Version

The other road section must be placed between either destinations A and B or destinations B and C.

If you can work out either one, you've got a solution!

UK Version

The other road section must be placed either between destinations A and B or destinations B and C.

If you can work out either one, you've got a solution!

Solution

Incorrect

Are you sure you didn't miss something?

Correct

Correct!

US Version

Actually there are two correct solutions to this puzzle. If you haven't found both, try to work out the other one!

UK Version

Actually, there are two correct solutions to this puzzle, but only one is shown here. Did you find the other one?

A big thanks to http://professorlayton4walkthrough.blogspot.com