Copyright (c) James A. Storer
H-Slider Problem 1
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Rectlinear Solution
Rectilinear steps: 57
Straight-Line steps: 60
Unit steps: 243
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#0:
$ $ $ $ $ $
1 1 1 A A A
1 1 1 A A A
1 1 1 A A A
2 2 2 H H B B B
2 2 2 H H B B B
2 2 2 H H B B B
3 3 3 H H H H H C C C
3 3 3 H X X X H C C C
3 3 3 H X X X H C C C
$ $ $ H X X X H $ $ $
#1. Move 1 east (4 units):
$ $ $ $ $ $
1 1 1 A A A
1 1 1 A A A
1 1 1 A A A
2 2 2 H H B B B
2 2 2 H H B B B
2 2 2 H H B B B
3 3 3 H H H H H C C C
3 3 3 H X X X H C C C
3 3 3 H X X X H C C C
$ $ $ H X X X H $ $ $
#2. Move 2 north (3 units):
$ $ $ $ $ $
2 2 2 1 1 1 A A A
2 2 2 1 1 1 A A A
2 2 2 1 1 1 A A A
H H B B B
H H B B B
H H B B B
3 3 3 H H H H H C C C
3 3 3 H X X X H C C C
3 3 3 H X X X H C C C
$ $ $ H X X X H $ $ $
#3. Move 3 north (3 units):
$ $ $ $ $ $
2 2 2 1 1 1 A A A
2 2 2 1 1 1 A A A
2 2 2 1 1 1 A A A
3 3 3 H H B B B
3 3 3 H H B B B
3 3 3 H H B B B
H H H H H C C C
H X X X H C C C
H X X X H C C C
$ $ $ H X X X H $ $ $
#4. Move H north (4 units):
$ $ $ H 1 1 1 H $ $ $
2 2 2 H 1 1 1 H A A A
2 2 2 H 1 1 1 H A A A
2 2 2 H H H H H A A A
3 3 3 H X X X H B B B
3 3 3 H X X X H B B B
3 3 3 H X X X H B B B
C C C
C C C
C C C
$ $ $ $ $ $
#5. Move C west (8 units):
$ $ $ H 1 1 1 H $ $ $
2 2 2 H 1 1 1 H A A A
2 2 2 H 1 1 1 H A A A
2 2 2 H H H H H A A A
3 3 3 H X X X H B B B
3 3 3 H X X X H B B B
3 3 3 H X X X H B B B
C C C
C C C
C C C
$ $ $ $ $ $
#6. Move B south (3 units):
$ $ $ H 1 1 1 H $ $ $
2 2 2 H 1 1 1 H A A A
2 2 2 H 1 1 1 H A A A
2 2 2 H H H H H A A A
3 3 3 H X X X H
3 3 3 H X X X H
3 3 3 H X X X H
C C C B B B
C C C B B B
C C C B B B
$ $ $ $ $ $
#7. Move A south (3 units):
$ $ $ H 1 1 1 H $ $ $
2 2 2 H 1 1 1 H
2 2 2 H 1 1 1 H
2 2 2 H H H H H
3 3 3 H X X X H A A A
3 3 3 H X X X H A A A
3 3 3 H X X X H A A A
C C C B B B
C C C B B B
C C C B B B
$ $ $ $ $ $
#8. Move H south (4 units):
$ $ $ $ $ $
2 2 2 1 1 1
2 2 2 1 1 1
2 2 2 1 1 1
3 3 3 H H A A A
3 3 3 H H A A A
3 3 3 H H A A A
C C C H H H H H B B B
C C C H X X X H B B B
C C C H X X X H B B B
$ $ $ H X X X H $ $ $
#9. Move 1 east (4 units):
$ $ $ $ $ $
2 2 2 1 1 1
2 2 2 1 1 1
2 2 2 1 1 1
3 3 3 H H A A A
3 3 3 H H A A A
3 3 3 H H A A A
C C C H H H H H B B B
C C C H X X X H B B B
C C C H X X X H B B B
$ $ $ H X X X H $ $ $
#10. Move 2 east (4 units):
$ $ $ $ $ $
2 2 2 1 1 1
2 2 2 1 1 1
2 2 2 1 1 1
3 3 3 H H A A A
3 3 3 H H A A A
3 3 3 H H A A A
C C C H H H H H B B B
C C C H X X X H B B B
C C C H X X X H B B B
$ $ $ H X X X H $ $ $
#11. Move 3 north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2 1 1 1
3 3 3 2 2 2 1 1 1
3 3 3 2 2 2 1 1 1
H H A A A
H H A A A
H H A A A
C C C H H H H H B B B
C C C H X X X H B B B
C C C H X X X H B B B
$ $ $ H X X X H $ $ $
#12. Move C north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2 1 1 1
3 3 3 2 2 2 1 1 1
3 3 3 2 2 2 1 1 1
C C C H H A A A
C C C H H A A A
C C C H H A A A
H H H H H B B B
H X X X H B B B
H X X X H B B B
$ $ $ H X X X H $ $ $
#13. Move H north (4 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H H H H H 1 1 1
C C C H X X X H A A A
C C C H X X X H A A A
C C C H X X X H A A A
B B B
B B B
B B B
$ $ $ $ $ $
#14. Move B west (7 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H H H H H 1 1 1
C C C H X X X H A A A
C C C H X X X H A A A
C C C H X X X H A A A
B B B
B B B
B B B
$ $ $ $ $ $
#15. Move X ending east (2 segments, 7 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H H H H H 1 1 1
C C C H H A A A
C C C H H A A A
C C C H H A A A
B B B X X X
B B B X X X
B B B X X X
$ $ $ $ $ $
#16. Move B east (3 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H H H H H 1 1 1
C C C H H A A A
C C C H H A A A
C C C H H A A A
B B B X X X
B B B X X X
B B B X X X
$ $ $ $ $ $
#17. Move C south (3 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H 2 2 2 H 1 1 1
3 3 3 H H H H H 1 1 1
H H A A A
H H A A A
H H A A A
C C C B B B X X X
C C C B B B X X X
C C C B B B X X X
$ $ $ $ $ $
#18. Move 3 south (3 units):
$ $ $ H 2 2 2 H $ $ $
H 2 2 2 H 1 1 1
H 2 2 2 H 1 1 1
H H H H H 1 1 1
3 3 3 H H A A A
3 3 3 H H A A A
3 3 3 H H A A A
C C C B B B X X X
C C C B B B X X X
C C C B B B X X X
$ $ $ $ $ $
#19. Move H south (4 units):
$ $ $ $ $ $
1 1 1
1 1 1
1 1 1
3 3 3 H 2 2 2 H A A A
3 3 3 H 2 2 2 H A A A
3 3 3 H 2 2 2 H A A A
C C C H H H H H X X X
C C C H B B B H X X X
C C C H B B B H X X X
$ $ $ H B B B H $ $ $
#20. Move 1 west (8 units):
$ $ $ $ $ $
1 1 1
1 1 1
1 1 1
3 3 3 H 2 2 2 H A A A
3 3 3 H 2 2 2 H A A A
3 3 3 H 2 2 2 H A A A
C C C H H H H H X X X
C C C H B B B H X X X
C C C H B B B H X X X
$ $ $ H B B B H $ $ $
#21. Move A north (3 units):
$ $ $ $ $ $
1 1 1 A A A
1 1 1 A A A
1 1 1 A A A
3 3 3 H 2 2 2 H
3 3 3 H 2 2 2 H
3 3 3 H 2 2 2 H
C C C H H H H H X X X
C C C H B B B H X X X
C C C H B B B H X X X
$ $ $ H B B B H $ $ $
#22. Move X north (3 units):
$ $ $ $ $ $
1 1 1 A A A
1 1 1 A A A
1 1 1 A A A
3 3 3 H 2 2 2 H X X X
3 3 3 H 2 2 2 H X X X
3 3 3 H 2 2 2 H X X X
C C C H H H H H
C C C H B B B H
C C C H B B B H
$ $ $ H B B B H $ $ $
#23. Move H north (4 units):
$ $ $ H 2 2 2 H $ $ $
1 1 1 H 2 2 2 H A A A
1 1 1 H 2 2 2 H A A A
1 1 1 H H H H H A A A
3 3 3 H B B B H X X X
3 3 3 H B B B H X X X
3 3 3 H B B B H X X X
C C C
C C C
C C C
$ $ $ $ $ $
#24. Move C east (8 units):
$ $ $ H 2 2 2 H $ $ $
1 1 1 H 2 2 2 H A A A
1 1 1 H 2 2 2 H A A A
1 1 1 H H H H H A A A
3 3 3 H B B B H X X X
3 3 3 H B B B H X X X
3 3 3 H B B B H X X X
C C C
C C C
C C C
$ $ $ $ $ $
#25. Move 3 south (3 units):
$ $ $ H 2 2 2 H $ $ $
1 1 1 H 2 2 2 H A A A
1 1 1 H 2 2 2 H A A A
1 1 1 H H H H H A A A
H B B B H X X X
H B B B H X X X
H B B B H X X X
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
$ $ $ $ $ $
#26. Move 1 south (3 units):
$ $ $ H 2 2 2 H $ $ $
H 2 2 2 H A A A
H 2 2 2 H A A A
H H H H H A A A
1 1 1 H B B B H X X X
1 1 1 H B B B H X X X
1 1 1 H B B B H X X X
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
$ $ $ $ $ $
#27. Move H south (4 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
1 1 1 H H X X X
1 1 1 H H X X X
1 1 1 H H X X X
3 3 3 H H H H H C C C
3 3 3 H B B B H C C C
3 3 3 H B B B H C C C
$ $ $ H B B B H $ $ $
#28. Move 2 west (4 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
1 1 1 H H X X X
1 1 1 H H X X X
1 1 1 H H X X X
3 3 3 H H H H H C C C
3 3 3 H B B B H C C C
3 3 3 H B B B H C C C
$ $ $ H B B B H $ $ $
#29. Move A west (4 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
1 1 1 H H X X X
1 1 1 H H X X X
1 1 1 H H X X X
3 3 3 H H H H H C C C
3 3 3 H B B B H C C C
3 3 3 H B B B H C C C
$ $ $ H B B B H $ $ $
#30. Move X north (3 units):
$ $ $ $ $ $
2 2 2 A A A X X X
2 2 2 A A A X X X
2 2 2 A A A X X X
1 1 1 H H
1 1 1 H H
1 1 1 H H
3 3 3 H H H H H C C C
3 3 3 H B B B H C C C
3 3 3 H B B B H C C C
$ $ $ H B B B H $ $ $
#31. Move C north (3 units):
$ $ $ $ $ $
2 2 2 A A A X X X
2 2 2 A A A X X X
2 2 2 A A A X X X
1 1 1 H H C C C
1 1 1 H H C C C
1 1 1 H H C C C
3 3 3 H H H H H
3 3 3 H B B B H
3 3 3 H B B B H
$ $ $ H B B B H $ $ $
#32. Move H north (4 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H X X X
2 2 2 H A A A H X X X
2 2 2 H H H H H X X X
1 1 1 H B B B H C C C
1 1 1 H B B B H C C C
1 1 1 H B B B H C C C
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#33. Move 3 east (7 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H X X X
2 2 2 H A A A H X X X
2 2 2 H H H H H X X X
1 1 1 H B B B H C C C
1 1 1 H B B B H C C C
1 1 1 H B B B H C C C
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#34. Move B ending west (2 segments, 7 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H X X X
2 2 2 H A A A H X X X
2 2 2 H H H H H X X X
1 1 1 H H C C C
1 1 1 H H C C C
1 1 1 H H C C C
B B B 3 3 3
B B B 3 3 3
B B B 3 3 3
$ $ $ $ $ $
#35. Move 3 west (3 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H X X X
2 2 2 H A A A H X X X
2 2 2 H H H H H X X X
1 1 1 H H C C C
1 1 1 H H C C C
1 1 1 H H C C C
B B B 3 3 3
B B B 3 3 3
B B B 3 3 3
$ $ $ $ $ $
#36. Move C south (3 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H X X X
2 2 2 H A A A H X X X
2 2 2 H H H H H X X X
1 1 1 H H
1 1 1 H H
1 1 1 H H
B B B 3 3 3 C C C
B B B 3 3 3 C C C
B B B 3 3 3 C C C
$ $ $ $ $ $
#37. Move X south (3 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H
2 2 2 H A A A H
2 2 2 H H H H H
1 1 1 H H X X X
1 1 1 H H X X X
1 1 1 H H X X X
B B B 3 3 3 C C C
B B B 3 3 3 C C C
B B B 3 3 3 C C C
$ $ $ $ $ $
#38. Move H south (4 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
1 1 1 H A A A H X X X
1 1 1 H A A A H X X X
1 1 1 H A A A H X X X
B B B H H H H H C C C
B B B H 3 3 3 H C C C
B B B H 3 3 3 H C C C
$ $ $ H 3 3 3 H $ $ $
#39. Move 2 east (8 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
1 1 1 H A A A H X X X
1 1 1 H A A A H X X X
1 1 1 H A A A H X X X
B B B H H H H H C C C
B B B H 3 3 3 H C C C
B B B H 3 3 3 H C C C
$ $ $ H 3 3 3 H $ $ $
#40. Move 1 north (3 units):
$ $ $ $ $ $
1 1 1 2 2 2
1 1 1 2 2 2
1 1 1 2 2 2
H A A A H X X X
H A A A H X X X
H A A A H X X X
B B B H H H H H C C C
B B B H 3 3 3 H C C C
B B B H 3 3 3 H C C C
$ $ $ H 3 3 3 H $ $ $
#41. Move B north (3 units):
$ $ $ $ $ $
1 1 1 2 2 2
1 1 1 2 2 2
1 1 1 2 2 2
B B B H A A A H X X X
B B B H A A A H X X X
B B B H A A A H X X X
H H H H H C C C
H 3 3 3 H C C C
H 3 3 3 H C C C
$ $ $ H 3 3 3 H $ $ $
#42. Move H north (4 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H 2 2 2
1 1 1 H A A A H 2 2 2
1 1 1 H H H H H 2 2 2
B B B H 3 3 3 H X X X
B B B H 3 3 3 H X X X
B B B H 3 3 3 H X X X
C C C
C C C
C C C
$ $ $ $ $ $
#43. Move C west (8 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H 2 2 2
1 1 1 H A A A H 2 2 2
1 1 1 H H H H H 2 2 2
B B B H 3 3 3 H X X X
B B B H 3 3 3 H X X X
B B B H 3 3 3 H X X X
C C C
C C C
C C C
$ $ $ $ $ $
#44. Move X south (3 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H 2 2 2
1 1 1 H A A A H 2 2 2
1 1 1 H H H H H 2 2 2
B B B H 3 3 3 H
B B B H 3 3 3 H
B B B H 3 3 3 H
C C C X X X
C C C X X X
C C C X X X
$ $ $ $ $ $
#45. Move 2 south (3 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H
1 1 1 H A A A H
1 1 1 H H H H H
B B B H 3 3 3 H 2 2 2
B B B H 3 3 3 H 2 2 2
B B B H 3 3 3 H 2 2 2
C C C X X X
C C C X X X
C C C X X X
$ $ $ $ $ $
#46. Move H south (4 units):
$ $ $ $ $ $
1 1 1
1 1 1
1 1 1
B B B H A A A H 2 2 2
B B B H A A A H 2 2 2
B B B H A A A H 2 2 2
C C C H H H H H X X X
C C C H 3 3 3 H X X X
C C C H 3 3 3 H X X X
$ $ $ H 3 3 3 H $ $ $
#47. Move 1 east (8 units):
$ $ $ $ $ $
1 1 1
1 1 1
1 1 1
B B B H A A A H 2 2 2
B B B H A A A H 2 2 2
B B B H A A A H 2 2 2
C C C H H H H H X X X
C C C H 3 3 3 H X X X
C C C H 3 3 3 H X X X
$ $ $ H 3 3 3 H $ $ $
#48. Move B north (3 units):
$ $ $ $ $ $
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
H A A A H 2 2 2
H A A A H 2 2 2
H A A A H 2 2 2
C C C H H H H H X X X
C C C H 3 3 3 H X X X
C C C H 3 3 3 H X X X
$ $ $ H 3 3 3 H $ $ $
#49. Move C north (3 units):
$ $ $ $ $ $
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
C C C H A A A H 2 2 2
C C C H A A A H 2 2 2
C C C H A A A H 2 2 2
H H H H H X X X
H 3 3 3 H X X X
H 3 3 3 H X X X
$ $ $ H 3 3 3 H $ $ $
#50. Move H north (4 units):
$ $ $ H A A A H $ $ $
B B B H A A A H 1 1 1
B B B H A A A H 1 1 1
B B B H H H H H 1 1 1
C C C H H 2 2 2
C C C H H 2 2 2
C C C H H 2 2 2
3 3 3 X X X
3 3 3 X X X
3 3 3 X X X
$ $ $ $ $ $
#51. Move 3 west (3 units):
$ $ $ H A A A H $ $ $
B B B H A A A H 1 1 1
B B B H A A A H 1 1 1
B B B H H H H H 1 1 1
C C C H H 2 2 2
C C C H H 2 2 2
C C C H H 2 2 2
3 3 3 X X X
3 3 3 X X X
3 3 3 X X X
$ $ $ $ $ $
#52. Move X ending north (2 segments, 7 units):
$ $ $ H A A A H $ $ $
B B B H A A A H 1 1 1
B B B H A A A H 1 1 1
B B B H H H H H 1 1 1
C C C H X X X H 2 2 2
C C C H X X X H 2 2 2
C C C H X X X H 2 2 2
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#53. Move 3 east (7 units):
$ $ $ H A A A H $ $ $
B B B H A A A H 1 1 1
B B B H A A A H 1 1 1
B B B H H H H H 1 1 1
C C C H X X X H 2 2 2
C C C H X X X H 2 2 2
C C C H X X X H 2 2 2
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#54. Move C south (3 units):
$ $ $ H A A A H $ $ $
B B B H A A A H 1 1 1
B B B H A A A H 1 1 1
B B B H H H H H 1 1 1
H X X X H 2 2 2
H X X X H 2 2 2
H X X X H 2 2 2
C C C 3 3 3
C C C 3 3 3
C C C 3 3 3
$ $ $ $ $ $
#55. Move B south (3 units):
$ $ $ H A A A H $ $ $
H A A A H 1 1 1
H A A A H 1 1 1
H H H H H 1 1 1
B B B H X X X H 2 2 2
B B B H X X X H 2 2 2
B B B H X X X H 2 2 2
C C C 3 3 3
C C C 3 3 3
C C C 3 3 3
$ $ $ $ $ $
#56. Move H south (4 units):
$ $ $ $ $ $
A A A 1 1 1
A A A 1 1 1
A A A 1 1 1
B B B H H 2 2 2
B B B H H 2 2 2
B B B H H 2 2 2
C C C H H H H H 3 3 3
C C C H X X X H 3 3 3
C C C H X X X H 3 3 3
$ $ $ H X X X H $ $ $
#57. Move A west (4 units):
$ $ $ $ $ $
A A A 1 1 1
A A A 1 1 1
A A A 1 1 1
B B B H H 2 2 2
B B B H H 2 2 2
B B B H H 2 2 2
C C C H H H H H 3 3 3
C C C H X X X H 3 3 3
C C C H X X X H 3 3 3
$ $ $ H X X X H $ $ $