Copyright (c) James A. Storer H-Slider Problem 3 ###################################################################### Rectilinear Solution Rectilinear steps: 49 Straight-Line steps: 51 Unit steps: 198 ###################################################################### #0: $ $ $ $ $ $ 1 1 1 A A A 1 1 1 A A A 1 1 1 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 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 B B B H H 2 2 2 B B B H H 2 2 2 B B B H H 2 2 2 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 B north (3 units): $ $ $ $ $ $ B B B 1 1 1 A A A B B B 1 1 1 A A A B B B 1 1 1 A A A H H 2 2 2 H H 2 2 2 H H 2 2 2 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): $ $ $ $ $ $ B B B 1 1 1 A A A B B B 1 1 1 A A A B B B 1 1 1 A A A 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 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 $ $ $ B B B H 1 1 1 H A A A B B B H 1 1 1 H A A A B B B H H H H H A A A 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 X X X C C C X X X C C C X X X C C C $ $ $ $ $ $ #5. Move X west (4 units): $ $ $ H 1 1 1 H $ $ $ B B B H 1 1 1 H A A A B B B H 1 1 1 H A A A B B B H H H H H A A A 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 X X X C C C X X X C C C X X X C C C $ $ $ $ $ $ #6. Move C west (4 units): $ $ $ H 1 1 1 H $ $ $ B B B H 1 1 1 H A A A B B B H 1 1 1 H A A A B B B H H H H H A A A 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 3 3 3 H H 2 2 2 X X X C C C X X X C C C X X X C C C $ $ $ $ $ $ #7. Move 2 south (3 units): $ $ $ H 1 1 1 H $ $ $ B B B H 1 1 1 H A A A B B B H 1 1 1 H A A A B B B H H H H H A A A 3 3 3 H H 3 3 3 H H 3 3 3 H H X X X C C C 2 2 2 X X X C C C 2 2 2 X X X C C C 2 2 2 $ $ $ $ $ $ #8. Move A south (3 units): $ $ $ H 1 1 1 H $ $ $ B B B H 1 1 1 H B B B H 1 1 1 H B B B H H H H H 3 3 3 H H A A A 3 3 3 H H A A A 3 3 3 H H A A A X X X C C C 2 2 2 X X X C C C 2 2 2 X X X C C C 2 2 2 $ $ $ $ $ $ #9. Move H south (4 units): $ $ $ $ $ $ B B B B B B B B B 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 2 2 2 X X X H C C C H 2 2 2 X X X H C C C H 2 2 2 $ $ $ H C C C H $ $ $ #10. Move B east (8 units): $ $ $ $ $ $ B B B B B B B B B 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 2 2 2 X X X H C C C H 2 2 2 X X X H C C C H 2 2 2 $ $ $ H C C C H $ $ $ #11. Move 3 north (3 units): $ $ $ $ $ $ 3 3 3 B B B 3 3 3 B B B 3 3 3 B B B H 1 1 1 H A A A H 1 1 1 H A A A H 1 1 1 H A A A X X X H H H H H 2 2 2 X X X H C C C H 2 2 2 X X X H C C C H 2 2 2 $ $ $ H C C C H $ $ $ #12. Move X north (3 units): $ $ $ $ $ $ 3 3 3 B B B 3 3 3 B B B 3 3 3 B B B 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 H H H H H 2 2 2 H C C C H 2 2 2 H C C C H 2 2 2 $ $ $ H C C C H $ $ $ #13. Move H north (4 units): $ $ $ H 1 1 1 H $ $ $ 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 H H H H B B B X X X H H A A A X X X H H A A A X X X H H A A A C C C 2 2 2 C C C 2 2 2 C C C 2 2 2 $ $ $ $ $ $ #14. Move C west (3 units): $ $ $ H 1 1 1 H $ $ $ 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 H H H H B B B X X X H H A A A X X X H H A A A X X X H H A A A C C C 2 2 2 C C C 2 2 2 C C C 2 2 2 $ $ $ $ $ $ #15. Move 2 ending north (2 segments, 7 units): $ $ $ H 1 1 1 H $ $ $ 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 H H H H B B B X X X H 2 2 2 H A A A X X X H 2 2 2 H A A A X X X H 2 2 2 H A A A C C C C C C C C C $ $ $ $ $ $ #16. Move C east (7 units): $ $ $ H 1 1 1 H $ $ $ 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 H H H H B B B X X X H 2 2 2 H A A A X X X H 2 2 2 H A A A X X X H 2 2 2 H A A A C C C C C C C C C $ $ $ $ $ $ #17. Move X south (3 units): $ $ $ H 1 1 1 H $ $ $ 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 H H H H B B B H 2 2 2 H A A A H 2 2 2 H A A A H 2 2 2 H A A A X X X C C C X X X C C C X X X C C C $ $ $ $ $ $ #18. Move 3 south (3 units): $ $ $ H 1 1 1 H $ $ $ H 1 1 1 H B B B H 1 1 1 H B B B H H H H H B B B 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 X X X C C C X X X C C C X X X C C C $ $ $ $ $ $ #19. Move H south (4 units): $ $ $ $ $ $ 1 1 1 B B B 1 1 1 B B B 1 1 1 B B B 3 3 3 H H A A A 3 3 3 H H A A A 3 3 3 H H A A A X X X H H H H H C C C X X X H 2 2 2 H C C C X X X H 2 2 2 H C C C $ $ $ H 2 2 2 H $ $ $ #20. Move 1 west (4 units): $ $ $ $ $ $ 1 1 1 B B B 1 1 1 B B B 1 1 1 B B B 3 3 3 H H A A A 3 3 3 H H A A A 3 3 3 H H A A A X X X H H H H H C C C X X X H 2 2 2 H C C C X X X H 2 2 2 H C C C $ $ $ H 2 2 2 H $ $ $ #21. Move B west (4 units): $ $ $ $ $ $ 1 1 1 B B B 1 1 1 B B B 1 1 1 B B B 3 3 3 H H A A A 3 3 3 H H A A A 3 3 3 H H A A A X X X H H H H H C C C X X X H 2 2 2 H C C C X X X H 2 2 2 H C C C $ $ $ H 2 2 2 H $ $ $ #22. Move A north (3 units): $ $ $ $ $ $ 1 1 1 B B B A A A 1 1 1 B B B A A A 1 1 1 B B B A A A 3 3 3 H H 3 3 3 H H 3 3 3 H H X X X H H H H H C C C X X X H 2 2 2 H C C C X X X H 2 2 2 H C C C $ $ $ H 2 2 2 H $ $ $ #23. Move C north (3 units): $ $ $ $ $ $ 1 1 1 B B B A A A 1 1 1 B B B A A A 1 1 1 B B B A A A 3 3 3 H H C C C 3 3 3 H H C C C 3 3 3 H H C C C X X X H H H H H X X X H 2 2 2 H X X X H 2 2 2 H $ $ $ H 2 2 2 H $ $ $ #24. Move H north (4 units): $ $ $ H B B B H $ $ $ 1 1 1 H B B B H A A A 1 1 1 H B B B H A A A 1 1 1 H H H H H A A A 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 2 2 2 H C C C X X X X X X X X X $ $ $ $ $ $ #25. Move X east (8 units): $ $ $ H B B B H $ $ $ 1 1 1 H B B B H A A A 1 1 1 H B B B H A A A 1 1 1 H H H H H A A A 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 2 2 2 H C C C X X X X X X X X X $ $ $ $ $ $ #26. Move 3 south (3 units): $ $ $ H B B B H $ $ $ 1 1 1 H B B B H A A A 1 1 1 H B B B H A A A 1 1 1 H H H H H A A A H 2 2 2 H C C C H 2 2 2 H C C C H 2 2 2 H C C C 3 3 3 X X X 3 3 3 X X X 3 3 3 X X X $ $ $ $ $ $ #27. Move 1 south (3 units): $ $ $ H B B B H $ $ $ H B B B H A A A H B B B H A A A H H H H H A A A 1 1 1 H 2 2 2 H C C C 1 1 1 H 2 2 2 H C C C 1 1 1 H 2 2 2 H C C C 3 3 3 X X X 3 3 3 X X X 3 3 3 X X X $ $ $ $ $ $ #28. Move H south (4 units): $ $ $ $ $ $ B B B A A A B B B A A A B B B A A A 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 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 $ $ $ H 2 2 2 H $ $ $ #29. Move B west (4 units): $ $ $ $ $ $ B B B A A A B B B A A A B B B A A A 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 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 $ $ $ H 2 2 2 H $ $ $ #30. Move A west (4 units): $ $ $ $ $ $ B B B A A A B B B A A A B B B A A A 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 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 $ $ $ H 2 2 2 H $ $ $ #31. Move C 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 1 1 1 H H 1 1 1 H H 3 3 3 H H H H 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 $ $ $ H 2 2 2 H $ $ $ #32. Move X 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 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 3 3 3 H 2 2 2 H 3 3 3 H 2 2 2 H $ $ $ H 2 2 2 H $ $ $ #33. 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 2 2 2 H X X X 1 1 1 H 2 2 2 H X X X 1 1 1 H 2 2 2 H X X X 3 3 3 3 3 3 3 3 3 $ $ $ $ $ $ #34. Move 3 east (7 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 2 2 2 H X X X 1 1 1 H 2 2 2 H X X X 1 1 1 H 2 2 2 H X X X 3 3 3 3 3 3 3 3 3 $ $ $ $ $ $ #35. Move 2 ending west (2 segments, 7 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 H X X X 1 1 1 H H X X X 1 1 1 H H X X X 2 2 2 3 3 3 2 2 2 3 3 3 2 2 2 3 3 3 $ $ $ $ $ $ #36. Move 3 west (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 H X X X 1 1 1 H H X X X 1 1 1 H H X X X 2 2 2 3 3 3 2 2 2 3 3 3 2 2 2 3 3 3 $ $ $ $ $ $ #37. Move X 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 H 1 1 1 H H 1 1 1 H H 2 2 2 3 3 3 X X X 2 2 2 3 3 3 X X X 2 2 2 3 3 3 X X X $ $ $ $ $ $ #38. 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 H C C C 1 1 1 H H C C C 1 1 1 H H C C C 2 2 2 3 3 3 X X X 2 2 2 3 3 3 X X X 2 2 2 3 3 3 X X X $ $ $ $ $ $ #39. 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 X X X 2 2 2 H 3 3 3 H X X X 2 2 2 H 3 3 3 H X X X $ $ $ H 3 3 3 H $ $ $ #40. 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 X X X 2 2 2 H 3 3 3 H X X X 2 2 2 H 3 3 3 H X X X $ $ $ H 3 3 3 H $ $ $ #41. 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 X X X 2 2 2 H 3 3 3 H X X X 2 2 2 H 3 3 3 H X X X $ $ $ H 3 3 3 H $ $ $ #42. 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 X X X H 3 3 3 H X X X H 3 3 3 H X X X $ $ $ H 3 3 3 H $ $ $ #43. 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 H C C C 2 2 2 H H C C C 2 2 2 H H C C C 3 3 3 X X X 3 3 3 X X X 3 3 3 X X X $ $ $ $ $ $ #44. Move 3 west (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 H C C C 2 2 2 H H C C C 2 2 2 H H C C C 3 3 3 X X X 3 3 3 X X X 3 3 3 X X X $ $ $ $ $ $ #45. Move X west (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 H C C C 2 2 2 H H C C C 2 2 2 H H C C C 3 3 3 X X X 3 3 3 X X X 3 3 3 X X X $ $ $ $ $ $ #46. 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 H 2 2 2 H H 2 2 2 H H 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 $ $ $ $ $ $ #47. 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 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 $ $ $ $ $ $ #48. 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 $ $ $ #49. 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 $ $ $