Copyright (c) James A. Storer
H-Slider Problem 8
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Rectilinear Solution
Rectilinear steps: 46
Straight-Line steps: 47
Unit steps: 189
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#0:
$ $ $ $ $ $
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
2 2 2 H H B B B
2 2 2 H H B B B
2 2 2 H H B B B
1 1 1 H H H H H A A A
1 1 1 H X X X H A A A
1 1 1 H X X X H A A A
$ $ $ H X X X H $ $ $
#1. Move 3 east (4 units):
$ $ $ $ $ $
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
2 2 2 H H B B B
2 2 2 H H B B B
2 2 2 H H B B B
1 1 1 H H H H H A A A
1 1 1 H X X X H A A A
1 1 1 H X X X H A A A
$ $ $ H X X X H $ $ $
#2. Move 2 north (3 units):
$ $ $ $ $ $
2 2 2 3 3 3 C C C
2 2 2 3 3 3 C C C
2 2 2 3 3 3 C C C
H H B B B
H H B B B
H H B B B
1 1 1 H H H H H A A A
1 1 1 H X X X H A A A
1 1 1 H X X X H A A A
$ $ $ H X X X H $ $ $
#3. Move 1 north (3 units):
$ $ $ $ $ $
2 2 2 3 3 3 C C C
2 2 2 3 3 3 C C C
2 2 2 3 3 3 C C C
1 1 1 H H B B B
1 1 1 H H B B B
1 1 1 H H B B B
H H H H H A A A
H X X X H A A A
H X X X H A A A
$ $ $ H X X X H $ $ $
#4. Move H north (4 units):
$ $ $ H 3 3 3 H $ $ $
2 2 2 H 3 3 3 H C C C
2 2 2 H 3 3 3 H C C C
2 2 2 H H H H H C C C
1 1 1 H H B B B
1 1 1 H H B B B
1 1 1 H H B B B
X X X A A A
X X X A A A
X X X A A A
$ $ $ $ $ $
#5. Move X west (4 units):
$ $ $ H 3 3 3 H $ $ $
2 2 2 H 3 3 3 H C C C
2 2 2 H 3 3 3 H C C C
2 2 2 H H H H H C C C
1 1 1 H H B B B
1 1 1 H H B B B
1 1 1 H H B B B
X X X A A A
X X X A A A
X X X A A A
$ $ $ $ $ $
#6. Move A west (4 units):
$ $ $ H 3 3 3 H $ $ $
2 2 2 H 3 3 3 H C C C
2 2 2 H 3 3 3 H C C C
2 2 2 H H H H H C C C
1 1 1 H H B B B
1 1 1 H H B B B
1 1 1 H H B B B
X X X A A A
X X X A A A
X X X A A A
$ $ $ $ $ $
#7. Move B south (3 units):
$ $ $ H 3 3 3 H $ $ $
2 2 2 H 3 3 3 H C C C
2 2 2 H 3 3 3 H C C C
2 2 2 H H H H H C C C
1 1 1 H H
1 1 1 H H
1 1 1 H H
X X X A A A B B B
X X X A A A B B B
X X X A A A B B B
$ $ $ $ $ $
#8. Move C south (3 units):
$ $ $ H 3 3 3 H $ $ $
2 2 2 H 3 3 3 H
2 2 2 H 3 3 3 H
2 2 2 H H H H H
1 1 1 H H C C C
1 1 1 H H C C C
1 1 1 H H C C C
X X X A A A B B B
X X X A A A B B B
X X X A A A B B B
$ $ $ $ $ $
#9. Move H south (4 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
1 1 1 H 3 3 3 H C C C
1 1 1 H 3 3 3 H C C C
1 1 1 H 3 3 3 H C C C
X X X H H H H H B B B
X X X H A A A H B B B
X X X H A A A H B B B
$ $ $ H A A A H $ $ $
#10. Move 2 east (8 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
1 1 1 H 3 3 3 H C C C
1 1 1 H 3 3 3 H C C C
1 1 1 H 3 3 3 H C C C
X X X H H H H H B B B
X X X H A A A H B B B
X X X H A A A H B B B
$ $ $ H A A A H $ $ $
#11. Move 1 north (3 units):
$ $ $ $ $ $
1 1 1 2 2 2
1 1 1 2 2 2
1 1 1 2 2 2
H 3 3 3 H C C C
H 3 3 3 H C C C
H 3 3 3 H C C C
X X X H H H H H B B B
X X X H A A A H B B B
X X X H A A A H B B B
$ $ $ H A A A H $ $ $
#12. Move X north (3 units):
$ $ $ $ $ $
1 1 1 2 2 2
1 1 1 2 2 2
1 1 1 2 2 2
X X X H 3 3 3 H C C C
X X X H 3 3 3 H C C C
X X X H 3 3 3 H C C C
H H H H H B B B
H A A A H B B B
H A A A H B B B
$ $ $ H A A A H $ $ $
#13. Move H north (4 units):
$ $ $ H 3 3 3 H $ $ $
1 1 1 H 3 3 3 H 2 2 2
1 1 1 H 3 3 3 H 2 2 2
1 1 1 H H H H H 2 2 2
X X X H A A A H C C C
X X X H A A A H C C C
X X X H A A A H C C C
B B B
B B B
B B B
$ $ $ $ $ $
#14. Move B west (8 units):
$ $ $ H 3 3 3 H $ $ $
1 1 1 H 3 3 3 H 2 2 2
1 1 1 H 3 3 3 H 2 2 2
1 1 1 H H H H H 2 2 2
X X X H A A A H C C C
X X X H A A A H C C C
X X X H A A A H C C C
B B B
B B B
B B B
$ $ $ $ $ $
#15. Move C south (3 units):
$ $ $ H 3 3 3 H $ $ $
1 1 1 H 3 3 3 H 2 2 2
1 1 1 H 3 3 3 H 2 2 2
1 1 1 H H H H H 2 2 2
X X X H A A A H
X X X H A A A H
X X X H A A A H
B B B C C C
B B B C C C
B B B C C C
$ $ $ $ $ $
#16. Move 2 south (3 units):
$ $ $ H 3 3 3 H $ $ $
1 1 1 H 3 3 3 H
1 1 1 H 3 3 3 H
1 1 1 H H H H H
X X X H A A A H 2 2 2
X X X H A A A H 2 2 2
X X X H A A A H 2 2 2
B B B C C C
B B B C C C
B B B C C C
$ $ $ $ $ $
#17. Move H south (4 units):
$ $ $ $ $ $
1 1 1 3 3 3
1 1 1 3 3 3
1 1 1 3 3 3
X X X H H 2 2 2
X X X H H 2 2 2
X X X H H 2 2 2
B B B H H H H H C C C
B B B H A A A H C C C
B B B H A A A H C C C
$ $ $ H A A A H $ $ $
#18. Move 3 east (4 units):
$ $ $ $ $ $
1 1 1 3 3 3
1 1 1 3 3 3
1 1 1 3 3 3
X X X H H 2 2 2
X X X H H 2 2 2
X X X H H 2 2 2
B B B H H H H H C C C
B B B H A A A H C C C
B B B H A A A H C C C
$ $ $ H A A A H $ $ $
#19. Move 1 east (4 units):
$ $ $ $ $ $
1 1 1 3 3 3
1 1 1 3 3 3
1 1 1 3 3 3
X X X H H 2 2 2
X X X H H 2 2 2
X X X H H 2 2 2
B B B H H H H H C C C
B B B H A A A H C C C
B B B H A A A H C C C
$ $ $ H A A A H $ $ $
#20. Move X north (3 units):
$ $ $ $ $ $
X X X 1 1 1 3 3 3
X X X 1 1 1 3 3 3
X X X 1 1 1 3 3 3
H H 2 2 2
H H 2 2 2
H H 2 2 2
B B B H H H H H C C C
B B B H A A A H C C C
B B B H A A A H C C C
$ $ $ H A A A H $ $ $
#21. Move B north (3 units):
$ $ $ $ $ $
X X X 1 1 1 3 3 3
X X X 1 1 1 3 3 3
X X X 1 1 1 3 3 3
B B B H H 2 2 2
B B B H H 2 2 2
B B B H H 2 2 2
H H H H H C C C
H A A A H C C C
H A A A H C C C
$ $ $ H A A A H $ $ $
#22. Move H north (4 units):
$ $ $ H 1 1 1 H $ $ $
X X X H 1 1 1 H 3 3 3
X X X H 1 1 1 H 3 3 3
X X X H H H H H 3 3 3
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
C C C
C C C
$ $ $ $ $ $
#23. Move C west (7 units):
$ $ $ H 1 1 1 H $ $ $
X X X H 1 1 1 H 3 3 3
X X X H 1 1 1 H 3 3 3
X X X H H H H H 3 3 3
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
C C C
C C C
$ $ $ $ $ $
#24. Move A ending east (2 segments, 7 units):
$ $ $ H 1 1 1 H $ $ $
X X X H 1 1 1 H 3 3 3
X X X H 1 1 1 H 3 3 3
X X X H H H H H 3 3 3
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 A A A
C C C A A A
C C C A A A
$ $ $ $ $ $
#25. Move C east (3 units):
$ $ $ H 1 1 1 H $ $ $
X X X H 1 1 1 H 3 3 3
X X X H 1 1 1 H 3 3 3
X X X H H H H H 3 3 3
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 A A A
C C C A A A
C C C A A A
$ $ $ $ $ $
#26. Move B south (3 units):
$ $ $ H 1 1 1 H $ $ $
X X X H 1 1 1 H 3 3 3
X X X H 1 1 1 H 3 3 3
X X X H H H H H 3 3 3
H H 2 2 2
H H 2 2 2
H H 2 2 2
B B B C C C A A A
B B B C C C A A A
B B B C C C A A A
$ $ $ $ $ $
#27. Move X south (3 units):
$ $ $ H 1 1 1 H $ $ $
H 1 1 1 H 3 3 3
H 1 1 1 H 3 3 3
H H H H H 3 3 3
X X X H H 2 2 2
X X X H H 2 2 2
X X X H H 2 2 2
B B B C C C A A A
B B B C C C A A A
B B B C C C A A A
$ $ $ $ $ $
#28. Move H south (4 units):
$ $ $ $ $ $
3 3 3
3 3 3
3 3 3
X X X H 1 1 1 H 2 2 2
X X X H 1 1 1 H 2 2 2
X X X H 1 1 1 H 2 2 2
B B B H H H H H A A A
B B B H C C C H A A A
B B B H C C C H A A A
$ $ $ H C C C H $ $ $
#29. Move 3 west (8 units):
$ $ $ $ $ $
3 3 3
3 3 3
3 3 3
X X X H 1 1 1 H 2 2 2
X X X H 1 1 1 H 2 2 2
X X X H 1 1 1 H 2 2 2
B B B H H H H H A A A
B B B H C C C H A A A
B B B H C C C H A A A
$ $ $ H C C C H $ $ $
#30. Move 2 north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
X X X H 1 1 1 H
X X X H 1 1 1 H
X X X H 1 1 1 H
B B B H H H H H A A A
B B B H C C C H A A A
B B B H C C C H A A A
$ $ $ H C C C H $ $ $
#31. Move A north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
X X X H 1 1 1 H A A A
X X X H 1 1 1 H A A A
X X X H 1 1 1 H A A A
B B B H H H H H
B B B H C C C H
B B B H C C C H
$ $ $ H C C C H $ $ $
#32. Move H north (4 units):
$ $ $ H 1 1 1 H $ $ $
3 3 3 H 1 1 1 H 2 2 2
3 3 3 H 1 1 1 H 2 2 2
3 3 3 H H H H H 2 2 2
X X X H C C C H A A A
X X X H C C C H A A A
X X X H C C C H A A A
B B B
B B B
B B B
$ $ $ $ $ $
#33. Move B east (8 units):
$ $ $ H 1 1 1 H $ $ $
3 3 3 H 1 1 1 H 2 2 2
3 3 3 H 1 1 1 H 2 2 2
3 3 3 H H H H H 2 2 2
X X X H C C C H A A A
X X X H C C C H A A A
X X X H C C C H A A A
B B B
B B B
B B B
$ $ $ $ $ $
#34. Move X south (3 units):
$ $ $ H 1 1 1 H $ $ $
3 3 3 H 1 1 1 H 2 2 2
3 3 3 H 1 1 1 H 2 2 2
3 3 3 H H H H H 2 2 2
H C C C H A A A
H C C C H A A A
H C C C H A A A
X X X B B B
X X X B B B
X X X B B B
$ $ $ $ $ $
#35. Move 3 south (3 units):
$ $ $ H 1 1 1 H $ $ $
H 1 1 1 H 2 2 2
H 1 1 1 H 2 2 2
H H H H H 2 2 2
3 3 3 H C C C H A A A
3 3 3 H C C C H A A A
3 3 3 H C C C H A A A
X X X B B B
X X X B B B
X X X B B B
$ $ $ $ $ $
#36. Move H south (4 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
3 3 3 H 1 1 1 H A A A
3 3 3 H 1 1 1 H A A A
3 3 3 H 1 1 1 H A A A
X X X H H H H H B B B
X X X H C C C H B B B
X X X H C C C H B B B
$ $ $ H C C C H $ $ $
#37. Move 2 west (8 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
3 3 3 H 1 1 1 H A A A
3 3 3 H 1 1 1 H A A A
3 3 3 H 1 1 1 H A A A
X X X H H H H H B B B
X X X H C C C H B B B
X X X H C C C H B B B
$ $ $ H C C C H $ $ $
#38. Move A north (3 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
3 3 3 H 1 1 1 H
3 3 3 H 1 1 1 H
3 3 3 H 1 1 1 H
X X X H H H H H B B B
X X X H C C C H B B B
X X X H C C C H B B B
$ $ $ H C C C H $ $ $
#39. Move B north (3 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
3 3 3 H 1 1 1 H B B B
3 3 3 H 1 1 1 H B B B
3 3 3 H 1 1 1 H B B B
X X X H H H H H
X X X H C C C H
X X X H C C C H
$ $ $ H C C C H $ $ $
#40. 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 H B B B
3 3 3 H H B B B
3 3 3 H H B B B
X X X C C C
X X X C C C
X X X C C C
$ $ $ $ $ $
#41. Move C east (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 H B B B
3 3 3 H H B B B
3 3 3 H H B B B
X X X C C C
X X X C C C
X X X C C C
$ $ $ $ $ $
#42. Move X east (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 H B B B
3 3 3 H H B B B
3 3 3 H H B B B
X X X C C C
X X X C C C
X X X C C C
$ $ $ $ $ $
#43. Move 3 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
H H B B B
H H B B B
H H B B B
3 3 3 X X X C C C
3 3 3 X X X C C C
3 3 3 X X X C C C
$ $ $ $ $ $
#44. Move 2 south (3 units):
$ $ $ H 1 1 1 H $ $ $
H 1 1 1 H A A A
H 1 1 1 H A A A
H H H H H 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 X X X C C C
3 3 3 X X X C C C
3 3 3 X X X C C C
$ $ $ $ $ $
#45. Move H south (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 $ $ $
#46. Move 1 west (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 $ $ $