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There are so many rivers running through this town, they've built 12 bridges. It's possible to cross each bridge only once on your way to the goal, but which letter would you have to start at to do this?
You would have to start at spot A. One possible route is shown here, but there are other possible routes that take you over each bridge only once. This is the kind of puzzle you solve by tracing a long line without lifting your stylus.
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A big thanks to http://professorlayton2walkthrough.blogspot.com