Copyright (c) James A. Storer
H-Slider Problem 5
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Rectilinear Solution
Rectilinear steps: 54
Straight-Line steps: 56
Unit steps: 236
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#0:
$ $ $ $ $ $
3 3 3 A A A
3 3 3 A A A
3 3 3 A A A
B B B H H 2 2 2
B B B H H 2 2 2
B B B H H 2 2 2
1 1 1 H H H H H C C C
1 1 1 H X X X H C C C
1 1 1 H X X X H C C C
$ $ $ H X X X H $ $ $
#1. Move 3 ending south (2 segments, 7 units):
$ $ $ $ $ $
A A A
A A A
A A A
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
1 1 1 H H H H H C C C
1 1 1 H X X X H C C C
1 1 1 H X X X H C C C
$ $ $ H X X X H $ $ $
#2. Move A west (8 units):
$ $ $ $ $ $
A A A
A A A
A A A
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
1 1 1 H H H H H C C C
1 1 1 H X X X H C C C
1 1 1 H X X X H C C C
$ $ $ H X X X H $ $ $
#3. Move 2 north (3 units):
$ $ $ $ $ $
A A A 2 2 2
A A A 2 2 2
A A A 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
1 1 1 H H H H H C C C
1 1 1 H X X X H C C C
1 1 1 H X X X H C C C
$ $ $ H X X X H $ $ $
#4. Move C north (3 units):
$ $ $ $ $ $
A A A 2 2 2
A A A 2 2 2
A A A 2 2 2
B B B H 3 3 3 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
1 1 1 H H H H H
1 1 1 H X X X H
1 1 1 H X X X H
$ $ $ H X X X H $ $ $
#5. Move H north (4 units):
$ $ $ H 3 3 3 H $ $ $
A A A H 3 3 3 H 2 2 2
A A A H 3 3 3 H 2 2 2
A A A H H H H H 2 2 2
B B B H X X X H C C C
B B B H X X X H C C C
B B B H X X X H C C C
1 1 1
1 1 1
1 1 1
$ $ $ $ $ $
#6. Move 1 east (8 units):
$ $ $ H 3 3 3 H $ $ $
A A A H 3 3 3 H 2 2 2
A A A H 3 3 3 H 2 2 2
A A A H H H H H 2 2 2
B B B H X X X H C C C
B B B H X X X H C C C
B B B H X X X H C C C
1 1 1
1 1 1
1 1 1
$ $ $ $ $ $
#7. Move B south (3 units):
$ $ $ H 3 3 3 H $ $ $
A A A H 3 3 3 H 2 2 2
A A A H 3 3 3 H 2 2 2
A A A H H H H H 2 2 2
H X X X H C C C
H X X X H C C C
H X X X H C C C
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
$ $ $ $ $ $
#8. Move A south (3 units):
$ $ $ H 3 3 3 H $ $ $
H 3 3 3 H 2 2 2
H 3 3 3 H 2 2 2
H H H H H 2 2 2
A A A H X X X H C C C
A A A H X X X H C C C
A A A H X X X H C C C
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
$ $ $ $ $ $
#9. Move H south (4 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
A A A H H C C C
A A A H H C C C
A A A H H C C C
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#10. Move 3 west (4 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
A A A H H C C C
A A A H H C C C
A A A H H C C C
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#11. Move 2 west (4 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
A A A H H C C C
A A A H H C C C
A A A H H C C C
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#12. Move C north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2 C C C
3 3 3 2 2 2 C C C
3 3 3 2 2 2 C C C
A A A H H
A A A H H
A A A H H
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#13. Move 1 north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2 C C C
3 3 3 2 2 2 C C C
3 3 3 2 2 2 C C C
A A A H H 1 1 1
A A A H H 1 1 1
A A A H H 1 1 1
B B B H H H H H
B B B H X X X H
B B B H X X X H
$ $ $ H X X X H $ $ $
#14. Move H north (4 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H C C C
3 3 3 H 2 2 2 H C C C
3 3 3 H H H H H C C C
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
B B B
B B B
B B B
$ $ $ $ $ $
#15. Move B east (8 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H C C C
3 3 3 H 2 2 2 H C C C
3 3 3 H H H H H C C C
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
B B B
B B B
B B B
$ $ $ $ $ $
#16. Move A south (3 units):
$ $ $ H 2 2 2 H $ $ $
3 3 3 H 2 2 2 H C C C
3 3 3 H 2 2 2 H C C C
3 3 3 H H H H H C C C
H X X X H 1 1 1
H X X X H 1 1 1
H X X X H 1 1 1
A A A B B B
A A A B B B
A A A B B B
$ $ $ $ $ $
#17. Move 3 south (3 units):
$ $ $ H 2 2 2 H $ $ $
H 2 2 2 H C C C
H 2 2 2 H C C C
H H H H H C C C
3 3 3 H X X X H 1 1 1
3 3 3 H X X X H 1 1 1
3 3 3 H X X X H 1 1 1
A A A B B B
A A A B B B
A A A B B B
$ $ $ $ $ $
#18. Move H south (4 units):
$ $ $ $ $ $
2 2 2 C C C
2 2 2 C C C
2 2 2 C C C
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
A A A H H H H H B B B
A A A H X X X H B B B
A A A H X X X H B B B
$ $ $ H X X X H $ $ $
#19. Move 2 west (3 units):
$ $ $ $ $ $
2 2 2 C C C
2 2 2 C C C
2 2 2 C C C
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
A A A H H H H H B B B
A A A H X X X H B B B
A A A H X X X H B B B
$ $ $ H X X X H $ $ $
#20. Move C ending south (2 segments, 7 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
3 3 3 H C C C H 1 1 1
3 3 3 H C C C H 1 1 1
3 3 3 H C C C H 1 1 1
A A A H H H H H B B B
A A A H X X X H B B B
A A A H X X X H B B B
$ $ $ H X X X H $ $ $
#21. Move 2 east (7 units):
$ $ $ $ $ $
2 2 2
2 2 2
2 2 2
3 3 3 H C C C H 1 1 1
3 3 3 H C C C H 1 1 1
3 3 3 H C C C H 1 1 1
A A A H H H H H B B B
A A A H X X X H B B B
A A A H X X X H B B B
$ $ $ H X X X H $ $ $
#22. Move 3 north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
H C C C H 1 1 1
H C C C H 1 1 1
H C C C H 1 1 1
A A A H H H H H B B B
A A A H X X X H B B B
A A A H X X X H B B B
$ $ $ H X X X H $ $ $
#23. Move A north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2
3 3 3 2 2 2
3 3 3 2 2 2
A A A H C C C H 1 1 1
A A A H C C C H 1 1 1
A A A H C C C H 1 1 1
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 $ $ $
#24. Move H north (4 units):
$ $ $ H C C C H $ $ $
3 3 3 H C C C H 2 2 2
3 3 3 H C C C H 2 2 2
3 3 3 H H H H H 2 2 2
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
B B B
B B B
B B B
$ $ $ $ $ $
#25. Move B west (8 units):
$ $ $ H C C C H $ $ $
3 3 3 H C C C H 2 2 2
3 3 3 H C C C H 2 2 2
3 3 3 H H H H H 2 2 2
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
A A A H X X X H 1 1 1
B B B
B B B
B B B
$ $ $ $ $ $
#26. Move 1 south (3 units):
$ $ $ H C C C H $ $ $
3 3 3 H C C C H 2 2 2
3 3 3 H C C C H 2 2 2
3 3 3 H H H H H 2 2 2
A A A H X X X H
A A A H X X X H
A A A H X X X H
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
$ $ $ $ $ $
#27. Move 2 south (3 units):
$ $ $ 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 H H H H
A A A H X X X H 2 2 2
A A A H X X X H 2 2 2
A A A H X X X H 2 2 2
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
$ $ $ $ $ $
#28. Move H south (4 units):
$ $ $ $ $ $
3 3 3
3 3 3
3 3 3
A A A H C C C H 2 2 2
A A A H C C C H 2 2 2
A A A H C C C H 2 2 2
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#29. Move 3 east (8 units):
$ $ $ $ $ $
3 3 3
3 3 3
3 3 3
A A A H C C C H 2 2 2
A A A H C C C H 2 2 2
A A A H C C C H 2 2 2
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#30. Move A north (3 units):
$ $ $ $ $ $
A A A 3 3 3
A A A 3 3 3
A A A 3 3 3
H C C C H 2 2 2
H C C C H 2 2 2
H C C C H 2 2 2
B B B H H H H H 1 1 1
B B B H X X X H 1 1 1
B B B H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#31. Move B north (3 units):
$ $ $ $ $ $
A A A 3 3 3
A A A 3 3 3
A A A 3 3 3
B B B H C C C H 2 2 2
B B B H C C C H 2 2 2
B B B H C C C H 2 2 2
H H H H H 1 1 1
H X X X H 1 1 1
H X X X H 1 1 1
$ $ $ H X X X H $ $ $
#32. Move H north (4 units):
$ $ $ H C C C H $ $ $
A A A H C C C H 3 3 3
A A A H C C C H 3 3 3
A A A H H H H H 3 3 3
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
1 1 1
1 1 1
1 1 1
$ $ $ $ $ $
#33. Move 1 west (8 units):
$ $ $ H C C C H $ $ $
A A A H C C C H 3 3 3
A A A H C C C H 3 3 3
A A A H H H H H 3 3 3
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
1 1 1
1 1 1
1 1 1
$ $ $ $ $ $
#34. Move 2 south (3 units):
$ $ $ H C C C H $ $ $
A A A H C C C H 3 3 3
A A A H C C C H 3 3 3
A A A H H H H H 3 3 3
B B B H X X X H
B B B H X X X H
B B B H X X X H
1 1 1 2 2 2
1 1 1 2 2 2
1 1 1 2 2 2
$ $ $ $ $ $
#35. Move 3 south (3 units):
$ $ $ 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 H H H H
B B B H X X X H 3 3 3
B B B H X X X H 3 3 3
B B B H X X X H 3 3 3
1 1 1 2 2 2
1 1 1 2 2 2
1 1 1 2 2 2
$ $ $ $ $ $
#36. Move H south (4 units):
$ $ $ $ $ $
A A A C C C
A A A C C C
A A A C C C
B B B H H 3 3 3
B B B H H 3 3 3
B B B H H 3 3 3
1 1 1 H H H H H 2 2 2
1 1 1 H X X X H 2 2 2
1 1 1 H X X X H 2 2 2
$ $ $ H X X X H $ $ $
#37. Move C east (4 units):
$ $ $ $ $ $
A A A C C C
A A A C C C
A A A C C C
B B B H H 3 3 3
B B B H H 3 3 3
B B B H H 3 3 3
1 1 1 H H H H H 2 2 2
1 1 1 H X X X H 2 2 2
1 1 1 H X X X H 2 2 2
$ $ $ H X X X H $ $ $
#38. Move A east (4 units):
$ $ $ $ $ $
A A A C C C
A A A C C C
A A A C C C
B B B H H 3 3 3
B B B H H 3 3 3
B B B H H 3 3 3
1 1 1 H H H H H 2 2 2
1 1 1 H X X X H 2 2 2
1 1 1 H X X X H 2 2 2
$ $ $ H X X X H $ $ $
#39. Move B north (3 units):
$ $ $ $ $ $
B B B A A A C C C
B B B A A A C C C
B B B A A A C C C
H H 3 3 3
H H 3 3 3
H H 3 3 3
1 1 1 H H H H H 2 2 2
1 1 1 H X X X H 2 2 2
1 1 1 H X X X H 2 2 2
$ $ $ H X X X H $ $ $
#40. Move 1 north (3 units):
$ $ $ $ $ $
B B B A A A C C C
B B B A A A C C C
B B B A A A C C C
1 1 1 H H 3 3 3
1 1 1 H H 3 3 3
1 1 1 H H 3 3 3
H H H H H 2 2 2
H X X X H 2 2 2
H X X X H 2 2 2
$ $ $ H X X X H $ $ $
#41. Move H north (4 units):
$ $ $ H A A A H $ $ $
B B B H A A A H C C C
B B B H A A A H C C C
B B B H H H H H C C C
1 1 1 H X X X H 3 3 3
1 1 1 H X X X H 3 3 3
1 1 1 H X X X H 3 3 3
2 2 2
2 2 2
2 2 2
$ $ $ $ $ $
#42. Move 2 west (8 units):
$ $ $ H A A A H $ $ $
B B B H A A A H C C C
B B B H A A A H C C C
B B B H H H H H C C C
1 1 1 H X X X H 3 3 3
1 1 1 H X X X H 3 3 3
1 1 1 H X X X H 3 3 3
2 2 2
2 2 2
2 2 2
$ $ $ $ $ $
#43. Move 3 south (3 units):
$ $ $ H A A A H $ $ $
B B B H A A A H C C C
B B B H A A A H C C C
B B B H H H H H C C C
1 1 1 H X X X H
1 1 1 H X X X H
1 1 1 H X X X H
2 2 2 3 3 3
2 2 2 3 3 3
2 2 2 3 3 3
$ $ $ $ $ $
#44. Move C south (3 units):
$ $ $ H A A A H $ $ $
B B B H A A A H
B B B H A A A H
B B B H H H H H
1 1 1 H X X X H C C C
1 1 1 H X X X H C C C
1 1 1 H X X X H C C C
2 2 2 3 3 3
2 2 2 3 3 3
2 2 2 3 3 3
$ $ $ $ $ $
#45. Move H south (4 units):
$ $ $ $ $ $
B B B
B B B
B B B
1 1 1 H A A A H C C C
1 1 1 H A A A H C C C
1 1 1 H A A A H C C C
2 2 2 H H H H H 3 3 3
2 2 2 H X X X H 3 3 3
2 2 2 H X X X H 3 3 3
$ $ $ H X X X H $ $ $
#46. Move B east (8 units):
$ $ $ $ $ $
B B B
B B B
B B B
1 1 1 H A A A H C C C
1 1 1 H A A A H C C C
1 1 1 H A A A H C C C
2 2 2 H H H H H 3 3 3
2 2 2 H X X X H 3 3 3
2 2 2 H X X X H 3 3 3
$ $ $ H X X X H $ $ $
#47. Move 1 north (3 units):
$ $ $ $ $ $
1 1 1 B B B
1 1 1 B B B
1 1 1 B B B
H A A A H C C C
H A A A H C C C
H A A A H C C C
2 2 2 H H H H H 3 3 3
2 2 2 H X X X H 3 3 3
2 2 2 H X X X H 3 3 3
$ $ $ H X X X H $ $ $
#48. Move 2 north (3 units):
$ $ $ $ $ $
1 1 1 B B B
1 1 1 B B B
1 1 1 B B B
2 2 2 H A A A H C C C
2 2 2 H A A A H C C C
2 2 2 H A A A H C C C
H H H H H 3 3 3
H X X X H 3 3 3
H X X X H 3 3 3
$ $ $ H X X X H $ $ $
#49. Move H north (4 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H B B B
1 1 1 H A A A H B B B
1 1 1 H H H H H B B B
2 2 2 H X X X H C C C
2 2 2 H X X X H C C C
2 2 2 H X X X H C C C
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#50. Move 3 west (8 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H B B B
1 1 1 H A A A H B B B
1 1 1 H H H H H B B B
2 2 2 H X X X H C C C
2 2 2 H X X X H C C C
2 2 2 H X X X H C C C
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#51. Move C south (3 units):
$ $ $ H A A A H $ $ $
1 1 1 H A A A H B B B
1 1 1 H A A A H B B B
1 1 1 H H H H H B B B
2 2 2 H X X X H
2 2 2 H X X X H
2 2 2 H X X X H
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
$ $ $ $ $ $
#52. Move B 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
2 2 2 H X X X H B B B
2 2 2 H X X X H B B B
2 2 2 H X X X H B B B
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
$ $ $ $ $ $
#53. 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 $ $ $
#54. Move A 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 $ $ $