Copyright (c) James A. Storer Naoyuki Iwase Puzzle 2012 ###################################################################### Rectilinear Solution Rectilinear steps: 32 Straight-Line steps: 55 Unit steps: 82 ###################################################################### #0: $ $ A A 1 B B 2 A A 1 B B 2 1 1 1 2 2 2 3 3 3 4 D D 3 C C 4 D D 3 C C 4 4 4 $ $ #1. Move A north: $ A A $ A A 1 B B 2 1 B B 2 1 1 1 2 2 2 3 3 3 4 D D 3 C C 4 D D 3 C C 4 4 4 $ $ #2. Move C south: $ A A $ A A 1 B B 2 1 B B 2 1 1 1 2 2 2 3 3 3 4 D D 3 4 D D 3 C C 4 4 4 $ C C $ #3. Move D east: $ A A $ A A 1 B B 2 1 B B 2 1 1 1 2 2 2 3 3 3 4 D D 3 4 D D 3 C C 4 4 4 $ C C $ #4. Move 2 east: $ A A $ A A 1 B B 2 1 B B 2 1 1 1 2 2 2 3 3 3 4 D D 3 4 D D 3 C C 4 4 4 $ C C $ #5. Move 3 south: $ A A $ A A 1 B B 2 1 B B 2 1 1 1 2 2 2 4 D D 3 3 3 4 D D 3 C C 4 4 4 $ 3 C C $ #6. Move 1 on a path of 2 segments ending west: $ A A $ A A B B 2 1 B B 2 1 2 2 2 1 1 1 4 D D 3 3 3 4 D D 3 C C 4 4 4 $ 3 C C $ #7. Move B on a path of 3 segments ending south: $ A A $ A A 2 1 B B 2 1 B B 2 2 2 1 1 1 4 D D 3 3 3 4 D D 3 C C 4 4 4 $ 3 C C $ #8. Move A east 4 units: $ A A $ A A 2 1 B B 2 1 B B 2 2 2 1 1 1 4 D D 3 3 3 4 D D 3 C C 4 4 4 $ 3 C C $ #9. Move 1 north 2 units: $ 1 A A $ 1 A A 2 1 1 1 B B 2 B B 2 2 2 4 D D 3 3 3 4 D D 3 C C 4 4 4 $ 3 C C $ #10. Move 3 on a path of 3 segments ending north: $ 1 A A $ 1 A A 2 1 1 1 B B 2 3 3 3 B B 2 2 2 3 4 D D 3 4 D D C C 4 4 4 $ C C $ #11. Move C on a path of 3 segments ending north: $ 1 A A $ 1 A A 2 1 1 1 B B 2 3 3 3 B B 2 2 2 3 C C 4 D D 3 C C 4 D D 4 4 4 $ $ #12. Move 4 east: $ 1 A A $ 1 A A 2 1 1 1 B B 2 3 3 3 B B 2 2 2 3 C C 4 D D 3 C C 4 D D 4 4 4 $ $ #13. Move B on a path of 2 segments ending west: $ 1 A A $ 1 A A 2 1 1 1 2 3 3 3 2 2 2 3 C C 4 D D 3 C C 4 D D B B 4 4 4 $ B B $ #14. Move C on a path of 2 segments ending north: $ 1 C C A A $ 1 C C A A 2 1 1 1 2 3 3 3 2 2 2 3 4 D D 3 4 D D B B 4 4 4 $ B B $ #15. Move 3 on a path of 2 segments ending south: $ 1 C C A A $ 1 C C A A 2 1 1 1 2 2 2 2 4 D D 3 3 3 4 D D 3 B B 4 4 4 $ 3 B B $ #16. Move 4 on a path of 2 segments ending south: $ 1 C C A A $ 1 C C A A 2 1 1 1 2 2 2 2 D D 3 3 3 4 D D 3 B B 4 $ 3 B B 4 4 4 $ #17. Move D south: $ 1 C C A A $ 1 C C A A 2 1 1 1 2 2 2 2 3 3 3 4 D D 3 B B 4 D D $ 3 B B 4 4 4 $ #18. Move 2 on a path of 2 segments ending west: $ 1 C C A A $ 1 C C A A 1 1 1 2 2 2 2 2 3 3 3 4 D D 3 B B 4 D D $ 3 B B 4 4 4 $ #19. Move A on a path of 3 segments ending north: $ 1 C C $ 1 C C A A 1 1 1 2 A A 2 2 2 2 3 3 3 4 D D 3 B B 4 D D $ 3 B B 4 4 4 $ #20. Move 2 on a path of 2 segments ending north: $ 1 C C 2 $ 1 C C 2 A A 1 1 1 2 2 2 A A 3 3 3 4 D D 3 B B 4 D D $ 3 B B 4 4 4 $ #21. Move D on a path of 3 segments ending west: $ 1 C C 2 $ 1 C C 2 A A 1 1 1 2 2 2 A A D D D D 3 3 3 4 3 B B 4 $ 3 B B 4 4 4 $ #22. Move 4 north: $ 1 C C 2 $ 1 C C 2 A A 1 1 1 2 2 2 A A D D D D 4 3 3 3 4 3 B B 4 4 4 $ 3 B B $ #23. Move A on a path of 3 segments ending south: $ 1 C C 2 $ 1 C C 2 1 1 1 2 2 2 D D D D 4 A A 3 3 3 4 A A 3 B B 4 4 4 $ 3 B B $ #24. Move 2 on a path of 2 segments ending east: $ 1 C C $ 1 C C 2 1 1 1 2 D D 2 2 2 D D 4 A A 3 3 3 4 A A 3 B B 4 4 4 $ 3 B B $ #25. Move C east 2 units: $ 1 C C $ 1 C C 2 1 1 1 2 D D 2 2 2 D D 4 A A 3 3 3 4 A A 3 B B 4 4 4 $ 3 B B $ #26. Move 1 on a path of 2 segments ending south: $ C C $ 1 C C 2 1 2 D D 1 1 1 2 2 2 D D 4 A A 3 3 3 4 A A 3 B B 4 4 4 $ 3 B B $ #27. Move D on a path of 2 segments ending east: $ C C $ D D 1 C C 2 D D 1 2 1 1 1 2 2 2 4 A A 3 3 3 4 A A 3 B B 4 4 4 $ 3 B B $ #28. Move 3 north: $ C C $ D D 1 C C 2 D D 1 2 1 1 1 2 2 2 3 3 3 4 A A 3 4 A A 3 B B 4 4 4 $ B B $ #29. Move 1 west: $ C C $ D D 1 C C 2 D D 1 2 1 1 1 2 2 2 3 3 3 4 A A 3 4 A A 3 B B 4 4 4 $ B B $ #30. Move C on a path of 2 segments ending south: $ $ D D 1 C C 2 D D 1 C C 2 1 1 1 2 2 2 3 3 3 4 A A 3 4 A A 3 B B 4 4 4 $ B B $ #31. Move 2 west: $ $ D D 1 C C 2 D D 1 C C 2 1 1 1 2 2 2 3 3 3 4 A A 3 4 A A 3 B B 4 4 4 $ B B $ #32. Move B north: $ $ D D 1 C C 2 D D 1 C C 2 1 1 1 2 2 2 3 3 3 4 A A 3 B B 4 A A 3 B B 4 4 4 $ $ *** The corresponding straight-line solution may be obtained by: Replace step 6 by 2 straight-line steps. Replace step 7 by 3 straight-line steps. Replace step 10 by 3 straight-line steps. Replace step 11 by 3 straight-line steps. Replace step 13 by 2 straight-line steps. Replace step 14 by 2 straight-line steps. Replace step 15 by 2 straight-line steps. Replace step 16 by 2 straight-line steps. Replace step 18 by 2 straight-line steps. Replace step 19 by 3 straight-line steps. Replace step 20 by 2 straight-line steps. Replace step 21 by 3 straight-line steps. Replace step 23 by 3 straight-line steps. Replace step 24 by 2 straight-line steps. Replace step 26 by 2 straight-line steps. Replace step 27 by 2 straight-line steps. Replace step 30 by 2 straight-line steps.