Copyright (c) James A. Storer
Sliding Three Square Problem 3
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Rectilinear Solution:
Rectilinear steps: 52
Straight-Line steps: 66
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*** 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.