Copyright (c) James A. Storer Sliding Three Square Problem 1 ###################################################################### Rectilinear Solution Rectilinear steps: 34 Straight-Line steps: 43 ###################################################################### *** 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 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 A B b b B X L L a a M M b b R R L L a a M M R R #2. 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 B B X L L a a M M b b R R L L a a M M b b R R #3. 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 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 L on a path of 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 X A A A A B B B B X X A A B B X a a M M b b R R a a M M b b R R #5. Move a on a path of 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 a a X A A A A B B B B X a a X A A B B X M M b b R R M M b b R R #6. 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 a a X A A A A B B B B X a a X A A B B X M M b b R R M M b b R R #7. 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 a a X A A A A B B B B X a a X A A B B X M M b b R R M M b b R R #8. Move R 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 a a X A A A A B B B B X a a X A A B B X M M b b R R M M b b R R #9. Move B on a path of 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 a a X A A A A X a a X A A X M M b b R R B B B B M M b b R R B B #10. 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 a a X A A A A X a a X A A X M M b b R R B B B B M M b b R R B B #11. 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 a a X b b A A A A X a a X b b A A X M M R R B B B B M M R R B B #12. Move R 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 a a X b b R R A A A A X a a X b b R R A A X M M B B B B M M B B #13. 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 a a X b b R R A A A A X a a X b b R R A A X M M B B B B M M B B #14. Move a on a path of 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 R R A A A A X X b b R R A A X a a M M B B B B a a M M B B #15. Move L south: X X X X X X X X X X X X X X X X X X X X X b b R R A A A A X X b b R R A A X L L a a M M B B B B L L a a M M B B #16. Move A west: X X X X X X X X X X X X X X X X X X X X X b b R R A A A A X X b b R R A A X L L a a M M B B B B L L a a M M B B #17. Move b south: X X X X X X X X X X X X X X X X X X X X X R R A A A A X X R R A A X L L b b a a M M B B B B L L b b a a M M B B #18. Move R+A+X east: X X X X X X X X X X X X X X X X X X X X X R R A A A A X X R R A A X L L b b a a M M B B B B L L b b a a M M B B #19. 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 R R A A A A X X R R A A X b b a a M M B B B B b b a a M M B B #20. Move b on a path of 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 R R A A A A X b b X R R A A X a a M M B B B B a a M M B B #21. Move a on a path of 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 R R A A A A X b b X a a R R A A X M M B B B B M M B B #22. 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 R R A A A A X b b X a a R R A A X M M B B B B M M B B #23. 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 R R A A A A X b b X R R A A X M M a a B B B B M M a a B B #24. 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 a a R R B B B B M M a a R R B B #25. 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 X b b X A A X M M a a R R B B B B M M a a R R B B #26. Move B on a path of 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 B B B B X b b X A A B B X M M a a R R M M a a R R #27. Move R 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 B B B B X b b X A A B B X M M a a R R M M a a R R #28. 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 B B B B X b b X A A B B X M M a a R R M M a a R R #29. 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 A A A A B B B B X b b X A A B B X M M a a R R M M a a R R #30. Move b on a path of 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 A A A A B B B B X X A A B B X b b M M a a R R b b M M a a R R #31. Move L on a path of 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 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 #32. 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 #33. Move a 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 B B B B X X A A B a a B X L L b b M M a a R R L L b b M M R R #34. 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 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 *** The corresponding straight-line solution may be obtained by: Replace step 4 by 2 straight-line steps. Replace step 5 by 2 straight-line steps. Replace step 9 by 2 straight-line steps. Replace step 14 by 2 straight-line steps. Replace step 20 by 2 straight-line steps. Replace step 21 by 2 straight-line steps. Replace step 26 by 2 straight-line steps. Replace step 30 by 2 straight-line steps. Replace step 31 by 2 straight-line steps.