Copyright (c) James A. Storer
Naoyuki Iwase Puzzle 2012
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Rectilinear Solution
Rectilinear steps: 32
Straight-Line steps: 55
Unit steps: 82
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#0:
$ $
A A 1 B B 2
A A 1 B B 2
1 1 1 2 2 2
3 3 3 4 D D
3 C C 4 D D
3 C C 4 4 4
$ $
#1. Move A north:
$ A A $
A A 1 B B 2
1 B B 2
1 1 1 2 2 2
3 3 3 4 D D
3 C C 4 D D
3 C C 4 4 4
$ $
#2. Move C south:
$ A A $
A A 1 B B 2
1 B B 2
1 1 1 2 2 2
3 3 3 4 D D
3 4 D D
3 C C 4 4 4
$ C C $
#3. Move D east:
$ A A $
A A 1 B B 2
1 B B 2
1 1 1 2 2 2
3 3 3 4 D D
3 4 D D
3 C C 4 4 4
$ C C $
#4. Move 2 east:
$ A A $
A A 1 B B 2
1 B B 2
1 1 1 2 2 2
3 3 3 4 D D
3 4 D D
3 C C 4 4 4
$ C C $
#5. Move 3 south:
$ A A $
A A 1 B B 2
1 B B 2
1 1 1 2 2 2
4 D D
3 3 3 4 D D
3 C C 4 4 4
$ 3 C C $
#6. Move 1 on a path of 2 segments ending west:
$ A A $
A A B B 2
1 B B 2
1 2 2 2
1 1 1 4 D D
3 3 3 4 D D
3 C C 4 4 4
$ 3 C C $
#7. Move B on a path of 3 segments ending south:
$ A A $
A A 2
1 B B 2
1 B B 2 2 2
1 1 1 4 D D
3 3 3 4 D D
3 C C 4 4 4
$ 3 C C $
#8. Move A east 4 units:
$ A A $
A A 2
1 B B 2
1 B B 2 2 2
1 1 1 4 D D
3 3 3 4 D D
3 C C 4 4 4
$ 3 C C $
#9. Move 1 north 2 units:
$ 1 A A $
1 A A 2
1 1 1 B B 2
B B 2 2 2
4 D D
3 3 3 4 D D
3 C C 4 4 4
$ 3 C C $
#10. Move 3 on a path of 3 segments ending north:
$ 1 A A $
1 A A 2
1 1 1 B B 2
3 3 3 B B 2 2 2
3 4 D D
3 4 D D
C C 4 4 4
$ C C $
#11. Move C on a path of 3 segments ending north:
$ 1 A A $
1 A A 2
1 1 1 B B 2
3 3 3 B B 2 2 2
3 C C 4 D D
3 C C 4 D D
4 4 4
$ $
#12. Move 4 east:
$ 1 A A $
1 A A 2
1 1 1 B B 2
3 3 3 B B 2 2 2
3 C C 4 D D
3 C C 4 D D
4 4 4
$ $
#13. Move B on a path of 2 segments ending west:
$ 1 A A $
1 A A 2
1 1 1 2
3 3 3 2 2 2
3 C C 4 D D
3 C C 4 D D
B B 4 4 4
$ B B $
#14. Move C on a path of 2 segments ending north:
$ 1 C C A A $
1 C C A A 2
1 1 1 2
3 3 3 2 2 2
3 4 D D
3 4 D D
B B 4 4 4
$ B B $
#15. Move 3 on a path of 2 segments ending south:
$ 1 C C A A $
1 C C A A 2
1 1 1 2
2 2 2
4 D D
3 3 3 4 D D
3 B B 4 4 4
$ 3 B B $
#16. Move 4 on a path of 2 segments ending south:
$ 1 C C A A $
1 C C A A 2
1 1 1 2
2 2 2
D D
3 3 3 4 D D
3 B B 4
$ 3 B B 4 4 4 $
#17. Move D south:
$ 1 C C A A $
1 C C A A 2
1 1 1 2
2 2 2
3 3 3 4 D D
3 B B 4 D D
$ 3 B B 4 4 4 $
#18. Move 2 on a path of 2 segments ending west:
$ 1 C C A A $
1 C C A A
1 1 1 2
2
2 2 2
3 3 3 4 D D
3 B B 4 D D
$ 3 B B 4 4 4 $
#19. Move A on a path of 3 segments ending north:
$ 1 C C $
1 C C A A
1 1 1 2 A A
2
2 2 2
3 3 3 4 D D
3 B B 4 D D
$ 3 B B 4 4 4 $
#20. Move 2 on a path of 2 segments ending north:
$ 1 C C 2 $
1 C C 2 A A
1 1 1 2 2 2 A A
3 3 3 4 D D
3 B B 4 D D
$ 3 B B 4 4 4 $
#21. Move D on a path of 3 segments ending west:
$ 1 C C 2 $
1 C C 2 A A
1 1 1 2 2 2 A A
D D
D D
3 3 3 4
3 B B 4
$ 3 B B 4 4 4 $
#22. Move 4 north:
$ 1 C C 2 $
1 C C 2 A A
1 1 1 2 2 2 A A
D D
D D 4
3 3 3 4
3 B B 4 4 4
$ 3 B B $
#23. Move A on a path of 3 segments ending south:
$ 1 C C 2 $
1 C C 2
1 1 1 2 2 2
D D
D D 4 A A
3 3 3 4 A A
3 B B 4 4 4
$ 3 B B $
#24. Move 2 on a path of 2 segments ending east:
$ 1 C C $
1 C C 2
1 1 1 2
D D 2 2 2
D D 4 A A
3 3 3 4 A A
3 B B 4 4 4
$ 3 B B $
#25. Move C east 2 units:
$ 1 C C $
1 C C 2
1 1 1 2
D D 2 2 2
D D 4 A A
3 3 3 4 A A
3 B B 4 4 4
$ 3 B B $
#26. Move 1 on a path of 2 segments ending south:
$ C C $
1 C C 2
1 2
D D 1 1 1 2 2 2
D D 4 A A
3 3 3 4 A A
3 B B 4 4 4
$ 3 B B $
#27. Move D on a path of 2 segments ending east:
$ C C $
D D 1 C C 2
D D 1 2
1 1 1 2 2 2
4 A A
3 3 3 4 A A
3 B B 4 4 4
$ 3 B B $
#28. Move 3 north:
$ C C $
D D 1 C C 2
D D 1 2
1 1 1 2 2 2
3 3 3 4 A A
3 4 A A
3 B B 4 4 4
$ B B $
#29. Move 1 west:
$ C C $
D D 1 C C 2
D D 1 2
1 1 1 2 2 2
3 3 3 4 A A
3 4 A A
3 B B 4 4 4
$ B B $
#30. Move C on a path of 2 segments ending south:
$ $
D D 1 C C 2
D D 1 C C 2
1 1 1 2 2 2
3 3 3 4 A A
3 4 A A
3 B B 4 4 4
$ B B $
#31. Move 2 west:
$ $
D D 1 C C 2
D D 1 C C 2
1 1 1 2 2 2
3 3 3 4 A A
3 4 A A
3 B B 4 4 4
$ B B $
#32. Move B north:
$ $
D D 1 C C 2
D D 1 C C 2
1 1 1 2 2 2
3 3 3 4 A A
3 B B 4 A A
3 B B 4 4 4
$ $
*** The corresponding straight-line solution may be obtained by:
Replace step 6 by 2 straight-line steps.
Replace step 7 by 3 straight-line steps.
Replace step 10 by 3 straight-line steps.
Replace step 11 by 3 straight-line steps.
Replace step 13 by 2 straight-line steps.
Replace step 14 by 2 straight-line steps.
Replace step 15 by 2 straight-line steps.
Replace step 16 by 2 straight-line steps.
Replace step 18 by 2 straight-line steps.
Replace step 19 by 3 straight-line steps.
Replace step 20 by 2 straight-line steps.
Replace step 21 by 3 straight-line steps.
Replace step 23 by 3 straight-line steps.
Replace step 24 by 2 straight-line steps.
Replace step 26 by 2 straight-line steps.
Replace step 27 by 2 straight-line steps.
Replace step 30 by 2 straight-line steps.