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I too was going for web application..... I don't have a server/host so couldn't do it as a web application like that japanese one.
Not sure how they did it but here's how i basically did it for those that are interested.
FOR each starting point in the puzzle DO ----Build all possible paths ----IF the height/depth of the path is equal to the number of switches THEN --------GET any path that has the depth of the number of switches -----ENDIF ENDFOR