yaworsw/euler-manager

---
:id: 208
:name: Robot Walks
:url: https://projecteuler.net/problem=208
:content: "A robot moves in a series of one-fifth circular arcs (72°), with a free
  choice of a clockwise or an anticlockwise arc for each step, but no turning on the
  spot.\n\nOne of 70932 possible closed paths of 25 arcs starting northward is\n\n
  ![]({{ images_dir }}/p208_robotwalk.gif)\n\nGiven that the robot starts facing North,
  how many journeys of 70 arcs in length can it take that return it, after the final
  arc, to its starting position?  \n(Any arc may be traversed multiple times.)\n\n"