Copyright (c) James A. Storer
Sliding Three Square Problem 2
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Straight-Line Solution
Rectilinear steps: 40
Straight-Line steps: 54
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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 b b A B a a B X
L L b b M M a a R R
L L M M R R
#1. Move a 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 b b A B B X
L L b b M M a a R R
L L M M a a 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 b b A B B X
L L b b M M a a R R
L L M M a a R R
#3. Move b 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 b b M M a a R R
L L b b M M a a 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 b b M M a a R R
L L b b M M a a 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 b b M M a a
L L b b M M a a
#6. Move a 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 a a
X A A B B X a a
L L b b M M
L L b b 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 a a
X A A B B X a a
L L b b M M
L L b b 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 a a
X A A X a a
L L b b B B B B M M
L L b b 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 a a
X A A X a a
L L b b B B B B M M
L L b b B B M M
#10. 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 b b A A A A X a a
X b b A A X a a
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 b b A A A A X a a
X b b A A X a a
L L B B B B M M
L L B B M M
#12. Move A 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 b b A A A A X a a
X b b A A X a a
L L B B B B M M
L L B B M M
#13. 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 b b A A A A M M X a a
X b b A A M M X a a
L L B B B B
L L B B
#14. 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 b b A A A A M M X a a
X b b A A M M X a a
L L B B B B
L L B B
#15. Move A 2 segments ending 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 b b M M X a a
X b b M M X a a
L L A A A A B B B B
L L A A B B
#16. 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 M M X a a
X M M X a a
L L b b A A A A B B B B
L L b b A A B B
#17. 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 M M X a a
X M M X a a
L L b b A A A A B B B B
L L b b A A B B
#18. 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 M M A A A A X a a
X M M A A X a a
L L b b B B B B
L L b b B B
#19. 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 M M A A A A X a a
X M M A A X a a
L L b b B B B B
L L b b B B
#20. Move a 2 segments ending 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 M M A A A A X
X M M A A X
L L b b B B B B a a
L L b b B B a a
#21. Move R south:
X X X X X X X X X X
X X X X X X X X X X
X M M A A A A X
X M M A A X
L L b b B B B B a a R R
L L b b B B a a R R
#22. Move X east:
X X X X X X X X X X
X X X X X X X X X X
X M M A A A A X
X M M A A X
L L b b B B B B a a R R
L L b b B B a a R R
#23. Move a north:
X X X X X X X X X X
X X X X X X X X X X
X M M A A A A a a X
X M M A A a a X
L L b b B B B B R R
L L b b B B R R
#24. Move B east:
X X X X X X X X X X
X X X X X X X X X X
X M M A A A A a a X
X M M A A a a X
L L b b B B B B R R
L L b b B B R R
#25. Move X+M+A+a east:
X X X X X X X X X X
X X X X X X X X X X
X M M A A A A a a X
X M M A A a a X
L L b b B B B B R R
L L b b B B R R
#26. 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 M M A A A A a a X
X M M A A a a X
b b B B B B R R
b b B B R R
#27. 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 M M A A A A a a X
b b X M M A A a a X
B B B B R R
B B R R
#28. 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 a a X
b b X A A a a X
M M B B B B R R
M M B B R R
#29. Move B west 2 units:
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
M M B B B B R R
M M B B R R
#30. 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 a a X
b b X A A a a X
M M B B B B R R
M M B B R R
#31. Move a 2 segments ending 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
#32. 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
#33. 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
#34. 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
#35. 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
#36. 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
#37. 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 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
#38. 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 X
L L b b M M a a R R
L L M M a a R R
#39. Move a 2 segments ending 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
#40. Move R west:
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 10 by 2 straight-line steps.
Replace step 13 by 2 straight-line steps.
Replace step 15 by 2 straight-line steps.
Replace step 16 by 2 straight-line steps.
Replace step 20 by 2 straight-line steps.
Replace step 27 by 2 straight-line steps.
Replace step 28 by 2 straight-line steps.
Replace step 31 by 2 straight-line steps.
Replace step 35 by 2 straight-line steps.
Replace step 36 by 2 straight-line steps.
Replace step 39 by 2 straight-line steps.