Copyright (c) James A. Storer
H-Slider Problem 9
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Rectilinear Solution
Rectilinear steps: 29
Straight-Line steps: 31
Unit steps: 130
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#0:
$ $ $ $ $ $
3 3 3 C C C
3 3 3 C C C
3 3 3 C C C
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 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 ending south (2 segments, 7 units):
$ $ $ $ $ $
C C C
C C C
C C C
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 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 C west (8 units):
$ $ $ $ $ $
C C C
C C C
C C C
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 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 2 north (3 units):
$ $ $ $ $ $
C C C 2 2 2
C C C 2 2 2
C C C 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 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 $ $ $
#4. Move A north (3 units):
$ $ $ $ $ $
C C C 2 2 2
C C C 2 2 2
C C C 2 2 2
B B B H 3 3 3 H A A A
B B B H 3 3 3 H A A A
B B B H 3 3 3 H A A A
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 $ $ $
C C C H 3 3 3 H 2 2 2
C C C H 3 3 3 H 2 2 2
C C C H H H H H 2 2 2
B B B H X X X H A A A
B B B H X X X H A A A
B B B H X X X H A A A
1 1 1
1 1 1
1 1 1
$ $ $ $ $ $
#6. Move 1 east (8 units):
$ $ $ H 3 3 3 H $ $ $
C C C H 3 3 3 H 2 2 2
C C C H 3 3 3 H 2 2 2
C C C H H H H H 2 2 2
B B B H X X X H A A A
B B B H X X X H A A A
B B B H X X X H A A A
1 1 1
1 1 1
1 1 1
$ $ $ $ $ $
#7. Move B south (3 units):
$ $ $ H 3 3 3 H $ $ $
C C C H 3 3 3 H 2 2 2
C C C H 3 3 3 H 2 2 2
C C C H H H H H 2 2 2
H X X X H A A A
H X X X H A A A
H X X X H A A A
B B B 1 1 1
B B B 1 1 1
B B B 1 1 1
$ $ $ $ $ $
#8. Move C 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
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 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
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 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
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 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
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 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 A north (3 units):
$ $ $ $ $ $
3 3 3 2 2 2 A A A
3 3 3 2 2 2 A A A
3 3 3 2 2 2 A A A
C C C H H
C C C H H
C C C 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 A A A
3 3 3 2 2 2 A A A
3 3 3 2 2 2 A A A
C C C H H 1 1 1
C C C H H 1 1 1
C C C 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 A A A
3 3 3 H 2 2 2 H A A A
3 3 3 H H H H H A A A
C C C H X X X H 1 1 1
C C C H X X X H 1 1 1
C C C 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 A A A
3 3 3 H 2 2 2 H A A A
3 3 3 H H H H H A A A
C C C H X X X H 1 1 1
C C C H X X X H 1 1 1
C C C H X X X H 1 1 1
B B B
B B B
B B B
$ $ $ $ $ $
#16. Move C south (3 units):
$ $ $ H 2 2 2 H $ $ $
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 H H H H A A A
H X X X H 1 1 1
H X X X H 1 1 1
H X X X H 1 1 1
C C C B B B
C C C B B B
C C C B B B
$ $ $ $ $ $
#17. Move 3 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
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
C C C B B B
C C C B B B
C C C B B B
$ $ $ $ $ $
#18. Move H south (4 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
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 $ $ $
#19. Move 2 west (4 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
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 $ $ $
#20. Move A west (4 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
3 3 3 H H 1 1 1
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 $ $ $
#21. Move 1 north (3 units):
$ $ $ $ $ $
2 2 2 A A A 1 1 1
2 2 2 A A A 1 1 1
2 2 2 A A A 1 1 1
3 3 3 H H
3 3 3 H H
3 3 3 H H
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 $ $ $
#22. Move B north (3 units):
$ $ $ $ $ $
2 2 2 A A A 1 1 1
2 2 2 A A A 1 1 1
2 2 2 A A A 1 1 1
3 3 3 H H B B B
3 3 3 H H B B B
3 3 3 H H B B B
C C C H H H H H
C C C H X X X H
C C C H X X X H
$ $ $ H X X X H $ $ $
#23. Move H north (4 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H 1 1 1
2 2 2 H A A A H 1 1 1
2 2 2 H H H H H 1 1 1
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
$ $ $ $ $ $
#24. Move C east (8 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H 1 1 1
2 2 2 H A A A H 1 1 1
2 2 2 H H H H H 1 1 1
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
$ $ $ $ $ $
#25. Move 3 south (3 units):
$ $ $ H A A A H $ $ $
2 2 2 H A A A H 1 1 1
2 2 2 H A A A H 1 1 1
2 2 2 H H H H H 1 1 1
H X X X H B B B
H X X X H B B B
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
$ $ $ $ $ $
#26. Move 2 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
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
$ $ $ $ $ $
#27. Move H south (4 units):
$ $ $ $ $ $
1 1 1
1 1 1
1 1 1
2 2 2 H A A A H B B B
2 2 2 H A A A H B B B
2 2 2 H A A A 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 $ $ $
#28. Move 1 west (8 units):
$ $ $ $ $ $
1 1 1
1 1 1
1 1 1
2 2 2 H A A A H B B B
2 2 2 H A A A H B B B
2 2 2 H A A A 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 $ $ $
#29. Move A ending east (2 segments, 7 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 $ $ $