Logic Masters Deutschland e.V.

The railroads are known to have an image problem when it comes to punctuality. Especially since this disparaging puzzle, work has been feverishly underway to improve punctuality, at least at stations. Here's the latest, entirely unsuccessful attempt to make an improvement by moving the route network onto a cylinder.

Draw a closed oriented connected path into the grid. The path connects the midpoints of adjacent cells and runs only horizontally and vertically. It crosses itself exactly at the marked points and uses every other field exactly once. The path must not turn at the "stations" (represented by the numbers or the letter "S"). The grid represents a cylinder, i.e. the fields on the left and right edges of the grid are adjacent.

Starting at the starting station "S", at all other stations the actual arrival times are always greater than the numbers given there. The actual arrival time is thereby the length of the way in direction of travel from the "S", thus 1 for the first field in direction of travel next to the "S", and so on. Crossings are counted on each pass. The numbers at the stations does not indicate the order in which the stations are actually passed through. #