Solve a Hidato puzzle

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The task is to write a program which solves the puzzles found daily here:

Task
Solve a Hidato puzzle
You are encouraged to solve this task according to the task description, using any language you may know.
   http://www.smithsonianmag.com/games/hidato.html

An extra point will be awarded for showing that the code can be reused to solve the Knight Tour, see http://rosettacode.org/wiki/Knight%27s_tour