Copyright (c) James A. Storer
Monarch Solution 1 to Solution 2 - 39 Rectilinear moves
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Rectilinear Solution
Rectilinear steps: 39
Straight-Line steps: 51
Unit steps: 110
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#0:
X X X X
X X X X
A A B B C C
A A B B C C
A A B B C C
A A B B C C
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
#1. Move A west:
X X X X
X X X X
A A B B C C
A A B B C C
A A B B C C
A A B B C C
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
#2. Move C ending north on a path of 2 edges:
X X X X C C
X X X X C C
A A B B C C
A A B B C C
A A B B
A A B B
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
#3. Move X west 2 units:
X X X X C C
X X X X C C
A A B B C C
A A B B C C
A A B B
A A B B
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
#4. Move B ending north on a path of 2 edges:
X X X X B B C C
X X X X B B C C
A A B B C C
A A B B C C
A A
A A
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
#5. Move 2 ending west on a path of 2 edges:
X X X X B B C C
X X X X B B C C
A A B B C C
A A B B C C
A A 2 2 2 2
A A 2 2 2 2
1 1 1 1
1 1 1 1
#6. Move 1 east 2 units:
X X X X B B C C
X X X X B B C C
A A B B C C
A A B B C C
A A 2 2 2 2
A A 2 2 2 2
1 1 1 1
1 1 1 1
#7. Move A south 2 units:
X X X X B B C C
X X X X B B C C
B B C C
B B C C
A A 2 2 2 2
A A 2 2 2 2
A A 1 1 1 1
A A 1 1 1 1
#8. Move C south 4 units:
X X X X B B
X X X X B B
B B
B B
A A 2 2 2 2 C C
A A 2 2 2 2 C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#9. Move B east 2 units:
X X X X B B
X X X X B B
B B
B B
A A 2 2 2 2 C C
A A 2 2 2 2 C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#10. Move 2 ending west on a path of 2 edges:
X X X X B B
X X X X B B
2 2 2 2 B B
2 2 2 2 B B
A A C C
A A C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#11. Move B ending south on a path of 2 edges:
X X X X
X X X X
2 2 2 2 B B
2 2 2 2 B B
A A B B C C
A A B B C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#12. Move X east 4 units:
X X X X
X X X X
2 2 2 2 B B
2 2 2 2 B B
A A B B C C
A A B B C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#13. Move 2 north 2 units:
2 2 2 2 X X X X
2 2 2 2 X X X X
B B
B B
A A B B C C
A A B B C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#14. Move B west 2 units:
2 2 2 2 X X X X
2 2 2 2 X X X X
B B
B B
A A B B C C
A A B B C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#15. Move X south 2 units:
2 2 2 2
2 2 2 2
B B X X X X
B B X X X X
A A B B C C
A A B B C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#16. Move 2 east 4 units:
2 2 2 2
2 2 2 2
B B X X X X
B B X X X X
A A B B C C
A A B B C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#17. Move B ending west on a path of 2 edges:
B B 2 2 2 2
B B 2 2 2 2
B B X X X X
B B X X X X
A A C C
A A C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#18. Move 2 west 2 units:
B B 2 2 2 2
B B 2 2 2 2
B B X X X X
B B X X X X
A A C C
A A C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#19. Move X ending south on a path of 2 edges:
B B 2 2 2 2
B B 2 2 2 2
B B
B B
A A X X X X C C
A A X X X X C C
A A 1 1 1 1 C C
A A 1 1 1 1 C C
#20. Move C north 4 units:
B B 2 2 2 2 C C
B B 2 2 2 2 C C
B B C C
B B C C
A A X X X X
A A X X X X
A A 1 1 1 1
A A 1 1 1 1
#21. Move 1 east 2 units:
B B 2 2 2 2 C C
B B 2 2 2 2 C C
B B C C
B B C C
A A X X X X
A A X X X X
A A 1 1 1 1
A A 1 1 1 1
#22. Move X east 2 units:
B B 2 2 2 2 C C
B B 2 2 2 2 C C
B B C C
B B C C
A A X X X X
A A X X X X
A A 1 1 1 1
A A 1 1 1 1
#23. Move A ending north on a path of 2 edges:
B B 2 2 2 2 C C
B B 2 2 2 2 C C
B B A A C C
B B A A C C
A A X X X X
A A X X X X
1 1 1 1
1 1 1 1
#24. Move 1 west 4 units:
B B 2 2 2 2 C C
B B 2 2 2 2 C C
B B A A C C
B B A A C C
A A X X X X
A A X X X X
1 1 1 1
1 1 1 1
#25. Move X south 2 units:
B B 2 2 2 2 C C
B B 2 2 2 2 C C
B B A A C C
B B A A C C
A A
A A
1 1 1 1 X X X X
1 1 1 1 X X X X
#26. Move C south 2 units:
B B 2 2 2 2
B B 2 2 2 2
B B A A C C
B B A A C C
A A C C
A A C C
1 1 1 1 X X X X
1 1 1 1 X X X X
#27. Move 2 east 2 units:
B B 2 2 2 2
B B 2 2 2 2
B B A A C C
B B A A C C
A A C C
A A C C
1 1 1 1 X X X X
1 1 1 1 X X X X
#28. Move A north 2 units:
B B A A 2 2 2 2
B B A A 2 2 2 2
B B A A C C
B B A A C C
C C
C C
1 1 1 1 X X X X
1 1 1 1 X X X X
#29. Move 1 ending east on a path of 2 edges:
B B A A 2 2 2 2
B B A A 2 2 2 2
B B A A C C
B B A A C C
1 1 1 1 C C
1 1 1 1 C C
X X X X
X X X X
#30. Move B south 4 units:
A A 2 2 2 2
A A 2 2 2 2
A A C C
A A C C
B B 1 1 1 1 C C
B B 1 1 1 1 C C
B B X X X X
B B X X X X
#31. Move A west 2 units:
A A 2 2 2 2
A A 2 2 2 2
A A C C
A A C C
B B 1 1 1 1 C C
B B 1 1 1 1 C C
B B X X X X
B B X X X X
#32. Move 1 north 2 units:
A A 2 2 2 2
A A 2 2 2 2
A A 1 1 1 1 C C
A A 1 1 1 1 C C
B B C C
B B C C
B B X X X X
B B X X X X
#33. Move B east 2 units:
A A 2 2 2 2
A A 2 2 2 2
A A 1 1 1 1 C C
A A 1 1 1 1 C C
B B C C
B B C C
B B X X X X
B B X X X X
#34. Move A south 4 units:
2 2 2 2
2 2 2 2
1 1 1 1 C C
1 1 1 1 C C
A A B B C C
A A B B C C
A A B B X X X X
A A B B X X X X
#35. Move 1 ending north on a path of 2 edges:
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
C C
C C
A A B B C C
A A B B C C
A A B B X X X X
A A B B X X X X
#36. Move B ending east on a path of 2 edges:
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
B B C C
B B C C
A A B B C C
A A B B C C
A A X X X X
A A X X X X
#37. Move X west 2 units:
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
B B C C
B B C C
A A B B C C
A A B B C C
A A X X X X
A A X X X X
#38. Move A ending east on a path of 2 edges:
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
A A B B C C
A A B B C C
A A B B C C
A A B B C C
X X X X
X X X X
#39. Move C west:
1 1 1 1 2 2 2 2
1 1 1 1 2 2 2 2
A A B B C C
A A B B C C
A A B B C C
A A B B C C
X X X X
X X X X