Copyright (c) James A. Storer Sliding Three Square Problem 3 ###################################################################### Rectilinear Solution: Rectilinear steps: 52 Straight-Line steps: 66 ###################################################################### *** For capture moves that move multiple pieces at once, the first piece listed for the move is one that a single finger can pust to push the whole group. #0: X X X X X X X X X X X X X X X X X X X X X A A A A B B B B X X A a a A B b b B X L L a a M M b b R R L L M M R R #1. Move b south: X X X X X X X X X X X X X X X X X X X X X A A A A B B B B X X A a a A B B X L L a a M M b b R R L L M M b b R R #2. Move L west: X X X X X X X X X X X X X X X X X X X X X A A A A B B B B X X A a a A B B X L L a a M M b b R R L L M M b b R R #3. Move a 2 segments ending west: X X X X X X X X X X X X X X X X X X X X X A A A A B B B B X X A A B B X L L a a M M b b R R L L a a M M b b R R #4. Move X,A,B west: X X X X X X X X X X X X X X X X X X X X X A A A A B B B B X X A A B B X L L a a M M b b R R L L a a M M b b R R #5. Move R 2 segments ending north: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A B B B B X X A A B B X L L a a M M b b L L a a M M b b #6. Move b 2 segments ending north: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A B B B B X b b X A A B B X b b L L a a M M L L a a M M #7. Move M east: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A B B B B X b b X A A B B X b b L L a a M M L L a a M M #8. Move B south: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A X b b X A A X b b L L a a B B B B M M L L a a B B M M #9. Move A east: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A X b b X A A X b b L L a a B B B B M M L L a a B B M M #10. Move a north: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A X b b X a a A A X b b L L B B B B M M L L B B M M #11. Move B west: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A X b b X a a A A X b b L L B B B B M M L L B B M M #12. Move M west: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A X b b X a a A A X b b L L B B B B M M L L B B M M #13. Move b 2 segments ending west: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A X X a a A A X L L B B B B M M b b L L B B M M b b #14. Move R south: X X X X X X X X X X X X X X X X X X X X X a a A A A A X X a a A A X L L B B B B M M b b R R L L B B M M b b R R #15. Move X east: X X X X X X X X X X X X X X X X X X X X X a a A A A A X X a a A A X L L B B B B M M b b R R L L B B M M b b R R #16. Move b north: X X X X X X X X X X X X X X X X X X X X X a a A A A A b b X X a a A A b b X L L B B B B M M R R L L B B M M R R #17. Move X,A,a,b west: X X X X X X X X X X X X X X X X X X X X X a a A A A A b b X X a a A A b b X L L B B B B M M R R L L B B M M R R #18. Move R north: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A b b X X a a A A b b X L L B B B B M M L L B B M M #19. Move M 2 segments ending north: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A b b X M M X a a A A b b X M M L L B B B B L L B B #20. Move B east: X X X X X X X X X X R R X X X X X X X X X X R R X a a A A A A b b X M M X a a A A b b X M M L L B B B B L L B B #21. Move A 2 segments ending west: X X X X X X X X X X R R X X X X X X X X X X R R X a a b b X M M X a a b b X M M L L A A A A B B B B L L A A B B #22. Move b 2 segments ending south: X X X X X X X X X X R R X X X X X X X X X X R R X a a X M M X a a X M M L L A A A A b b B B B B L L A A b b B B #23. Move a east: X X X X X X X X X X R R X X X X X X X X X X R R X a a X M M X a a X M M L L A A A A b b B B B B L L A A b b B B #24. Move A north: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A a a X M M X A A a a X M M L L b b B B B B L L b b B B #25. Move b west: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A a a X M M X A A a a X M M L L b b B B B B L L b b B B #26. Move B west: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A a a X M M X A A a a X M M L L b b B B B B L L b b B B #27. Move M 2 segments ending west: X X X X X X X X X X R R X X X X X X X X X X R R X A A A A a a X X A A a a X L L b b B B B B M M L L b b B B M M #28. Move R south: X X X X X X X X X X X X X X X X X X X X X A A A A a a X X A A a a X L L b b B B B B M M R R L L b b B B M M R R #29. Move X,A,a east: X X X X X X X X X X X X X X X X X X X X X A A A A a a X X A A a a X L L b b B B B B M M R R L L b b B B M M R R #30. Move L north: L L X X X X X X X X X X L L X X X X X X X X X X X A A A A a a X X A A a a X b b B B B B M M R R b b B B M M R R #31. Move b 2 segments ending north: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A a a X b b X A A a a X B B B B M M R R B B M M R R #32. Move B west: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A a a X b b X A A a a X B B B B M M R R B B M M R R #33. Move M west: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A a a X b b X A A a a X B B B B M M R R B B M M R R #34. Move a south: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A X b b X A A X B B B B M M a a R R B B M M a a R R #35. Move A east: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A X b b X A A X B B B B M M a a R R B B M M a a R R #36. Move M 2 segments ending west: L L X X X X X X X X X X L L X X X X X X X X X X b b X M M A A A A X b b X M M A A X B B B B a a R R B B a a R R #37. Move A west: L L X X X X X X X X X X L L X X X X X X X X X X b b X M M A A A A X b b X M M A A X B B B B a a R R B B a a R R #38. Move R 2 segments ending north: L L X X X X X X X X X X L L X X X X X X X X X X b b X M M A A A A R R X b b X M M A A R R X B B B B a a B B a a #39. Move a east: L L X X X X X X X X X X L L X X X X X X X X X X b b X M M A A A A R R X b b X M M A A R R X B B B B a a B B a a #40. Move B east: L L X X X X X X X X X X L L X X X X X X X X X X b b X M M A A A A R R X b b X M M A A R R X B B B B a a B B a a #41. Move M 2 segments ending west: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A R R X b b X A A R R X M M B B B B a a M M B B a a #42. Move B west: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A R R X b b X A A R R X M M B B B B a a M M B B a a #43. Move a west: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A R R X b b X A A R R X M M B B B B a a M M B B a a #44. Move R south: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A X b b X A A X M M B B B B a a R R M M B B a a R R #45. Move A east: L L X X X X X X X X X X L L X X X X X X X X X X b b X A A A A X b b X A A X M M B B B B a a R R M M B B a a R R #46. Move B north: L L X X X X X X X X X X L L X X X X X X X X X X b b X B B B B A A A A X b b X B B A A X M M a a R R M M a a R R #47. Move M east: L L X X X X X X X X X X L L X X X X X X X X X X b b X B B B B A A A A X b b X B B A A X M M a a R R M M a a R R #48. Move b 2 segments ending east: L L X X X X X X X X X X L L X X X X X X X X X X X B B B B A A A A X X B B A A X b b M M a a R R b b M M a a R R #49. Move L 2 segments ending east: X X X X X X X X X X X X X X X X X X X X X B B B B A A A A X X B B A A X L L b b M M a a R R L L b b M M a a R R #50. Move X,A,B east: X X X X X X X X X X X X X X X X X X X X X B B B B A A A A X X B B A A X L L b b M M a a R R L L b b M M a a R R #51. Move a north: X X X X X X X X X X X X X X X X X X X X X B B B B A A A A X X B B A a a A X L L b b M M a a R R L L b b M M R R #52. Move b north: X X X X X X X X X X X X X X X X X X X X X B B B B A A A A X X B b b B A a a A X L L b b M M a a R R L L M M R R *** The corresponding straight-line solution may be obtained by: Replace step 3 by 2 straight-line steps. Replace step 5 by 2 straight-line steps. Replace step 6 by 2 straight-line steps. Replace step 13 by 2 straight-line steps. Replace step 19 by 2 straight-line steps. Replace step 21 by 2 straight-line steps. Replace step 22 by 2 straight-line steps. Replace step 27 by 2 straight-line steps. Replace step 31 by 2 straight-line steps. Replace step 36 by 2 straight-line steps. Replace step 38 by 2 straight-line steps. Replace step 41 by 2 straight-line steps. Replace step 48 by 2 straight-line steps. Replace step 49 by 2 straight-line steps.