Copyright (c) James A. Storer
H-Slider Problem 4
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Rectilinear Solution
Rectilinear steps: 31
Straight-Line steps: 34
Unit steps: 135
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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
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 $ $ $
#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
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 $ $ $
#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
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 $ $ $
#3. Move C 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
C C C H H B B B
C C C H H B B B
C C C H H B B B
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 $ $ $
#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
C C C H X X X 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
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#5. Move 3 west (7 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
C C C H X X X 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
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#6. Move X ending east (2 segments, 7 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
C C C H H B B B
C C C H H B B B
C C C H H B B B
3 3 3 X X X
3 3 3 X X X
3 3 3 X X X
$ $ $ $ $ $
#7. Move 3 east (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
C C C H H B B B
C C C H H B B B
C C C H H B B B
3 3 3 X X X
3 3 3 X X X
3 3 3 X X X
$ $ $ $ $ $
#8. Move C 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
C C C 3 3 3 X X X
C C C 3 3 3 X X X
C C C 3 3 3 X X X
$ $ $ $ $ $
#9. 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
C C C 3 3 3 X X X
C C C 3 3 3 X X X
C C C 3 3 3 X X X
$ $ $ $ $ $
#10. Move H south (4 units):
$ $ $ $ $ $
A A A
A A A
A A A
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
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 $ $ $
#11. Move A west (8 units):
$ $ $ $ $ $
A A A
A A A
A A A
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
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 $ $ $
#12. Move B north (3 units):
$ $ $ $ $ $
A A A B B B
A A A B B B
A A A B B B
2 2 2 H 1 1 1 H
2 2 2 H 1 1 1 H
2 2 2 H 1 1 1 H
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 $ $ $
#13. Move X north (3 units):
$ $ $ $ $ $
A A A B B B
A A A B B B
A A A B B B
2 2 2 H 1 1 1 H X X X
2 2 2 H 1 1 1 H X X X
2 2 2 H 1 1 1 H X X X
C C C H H H H H
C C C H 3 3 3 H
C C C H 3 3 3 H
$ $ $ H 3 3 3 H $ $ $
#14. Move H north (4 units):
$ $ $ H 1 1 1 H $ $ $
A A A H 1 1 1 H B B B
A A A H 1 1 1 H B B B
A A A H H H H H B B B
2 2 2 H H X X X
2 2 2 H H X X X
2 2 2 H H X X X
C C C 3 3 3
C C C 3 3 3
C C C 3 3 3
$ $ $ $ $ $
#15. Move 3 east (3 units):
$ $ $ H 1 1 1 H $ $ $
A A A H 1 1 1 H B B B
A A A H 1 1 1 H B B B
A A A H H H H H B B B
2 2 2 H H X X X
2 2 2 H H X X X
2 2 2 H H X X X
C C C 3 3 3
C C C 3 3 3
C C C 3 3 3
$ $ $ $ $ $
#16. Move C ending north (2 segments, 7 units):
$ $ $ H 1 1 1 H $ $ $
A A A H 1 1 1 H B B B
A A A H 1 1 1 H B B B
A A A H H H H H B B B
2 2 2 H C C C H X X X
2 2 2 H C C C H X X X
2 2 2 H C C C H X X X
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#17. Move 3 west (7 units):
$ $ $ H 1 1 1 H $ $ $
A A A H 1 1 1 H B B B
A A A H 1 1 1 H B B B
A A A H H H H H B B B
2 2 2 H C C C H X X X
2 2 2 H C C C H X X X
2 2 2 H C C C H X X X
3 3 3
3 3 3
3 3 3
$ $ $ $ $ $
#18. Move X south (3 units):
$ $ $ H 1 1 1 H $ $ $
A A A H 1 1 1 H B B B
A A A H 1 1 1 H B B B
A A A H H H H H B B B
2 2 2 H C C C H
2 2 2 H C C C H
2 2 2 H C C C H
3 3 3 X X X
3 3 3 X X X
3 3 3 X X X
$ $ $ $ $ $
#19. Move B south (3 units):
$ $ $ H 1 1 1 H $ $ $
A A A H 1 1 1 H
A A A H 1 1 1 H
A A A H H H H H
2 2 2 H C C C H B B B
2 2 2 H C C C H B B B
2 2 2 H C C C H B B B
3 3 3 X X X
3 3 3 X X X
3 3 3 X X X
$ $ $ $ $ $
#20. Move H south (4 units):
$ $ $ $ $ $
A A A
A A A
A A A
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
3 3 3 H H H H H X X X
3 3 3 H C C C H X X X
3 3 3 H C C C H X X X
$ $ $ H C C C H $ $ $
#21. Move A east (8 units):
$ $ $ $ $ $
A A A
A A A
A A A
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
2 2 2 H 1 1 1 H B B B
3 3 3 H H H H H X X X
3 3 3 H C C C H X X X
3 3 3 H C C C H X X X
$ $ $ H C C C H $ $ $
#22. Move 2 north (3 units):
$ $ $ $ $ $
2 2 2 A A A
2 2 2 A A A
2 2 2 A A A
H 1 1 1 H B B B
H 1 1 1 H B B B
H 1 1 1 H B B B
3 3 3 H H H H H X X X
3 3 3 H C C C H X X X
3 3 3 H C C C H X X X
$ $ $ H C C C H $ $ $
#23. Move 3 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
H H H H H X X X
H C C C H X X X
H C C C H X X X
$ $ $ H C C C H $ $ $
#24. 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
C C C X X X
C C C X X X
C C C X X X
$ $ $ $ $ $
#25. Move C west (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 H B B B
3 3 3 H H B B B
3 3 3 H H B B B
C C C X X X
C C C X X X
C C C X X X
$ $ $ $ $ $
#26. Move X ending north (2 segments, 7 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
$ $ $ $ $ $
#27. Move C east (7 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
$ $ $ $ $ $
#28. 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 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
$ $ $ $ $ $
#29. 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 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
$ $ $ $ $ $
#30. 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 $ $ $
#31. 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 $ $ $