Copyright (c) James A. Storer
Century and a Half
(One additional 1/2 unit move at the start precedes this solution.)
######################################################################
Rectilinear steps: 149
Straight-Line steps: 170
Unit steps: 206
######################################################################
#0:
1 X X 2
A X X C
A B C
3 B 4
J J K K
#1. Move 4 on a path of 2 segments ending north:
1 X X 2
A X X C
A B 4 C
3 B
J J K K
#2. Move K north:
1 X X 2
A X X C
A B 4 C
3 B K K
J J
#3. Move J east 2 units:
1 X X 2
A X X C
A B 4 C
3 B K K
J J
#4. Move 3 on a path of 2 segments ending east:
1 X X 2
A X X C
A B 4 C
B K K
3 J J
#5. Move A south 2 units:
1 X X 2
X X C
B 4 C
A B K K
A 3 J J
#6. Move 1 south 2 units:
X X 2
X X C
1 B 4 C
A B K K
A 3 J J
#7. Move X west:
X X 2
X X C
1 B 4 C
A B K K
A 3 J J
#8. Move 2 west:
X X 2
X X C
1 B 4 C
A B K K
A 3 J J
#9. Move C north:
X X 2 C
X X C
1 B 4
A B K K
A 3 J J
#10. Move 4 east:
X X 2 C
X X C
1 B 4
A B K K
A 3 J J
#11. Move 2 south 2 units:
X X C
X X C
1 B 2 4
A B K K
A 3 J J
#12. Move X east:
X X C
X X C
1 B 2 4
A B K K
A 3 J J
#13. Move 1 north 2 units:
1 X X C
X X C
B 2 4
A B K K
A 3 J J
#14. Move A north 2 units:
1 X X C
A X X C
A B 2 4
B K K
3 J J
#15. Move 3 on a path of 2 segments ending north:
1 X X C
A X X C
A B 2 4
3 B K K
J J
#16. Move J west 2 units:
1 X X C
A X X C
A B 2 4
3 B K K
J J
#17. Move K south:
1 X X C
A X X C
A B 2 4
3 B
J J K K
#18. Move 2 on a path of 2 segments ending east:
1 X X C
A X X C
A B 4
3 B 2
J J K K
#19. Move B east:
1 X X C
A X X C
A B 4
3 B 2
J J K K
#20. Move 3 on a path of 2 segments ending north:
1 X X C
A X X C
A 3 B 4
B 2
J J K K
#21. Move J north:
1 X X C
A X X C
A 3 B 4
J J B 2
K K
#22. Move K west 2 units:
1 X X C
A X X C
A 3 B 4
J J B 2
K K
#23. Move 2 on a path of 2 segments ending west:
1 X X C
A X X C
A 3 B 4
J J B
K K 2
#24. Move 4 south 2 units:
1 X X C
A X X C
A 3 B
J J B
K K 2 4
#25. Move B east:
1 X X C
A X X C
A 3 B
J J B
K K 2 4
#26. Move 2 north 2 units:
1 X X C
A X X C
A 3 2 B
J J B
K K 4
#27. Move J east:
1 X X C
A X X C
A 3 2 B
J J B
K K 4
#28. Move K east:
1 X X C
A X X C
A 3 2 B
J J B
K K 4
#29. Move A south 2 units:
1 X X C
X X C
3 2 B
A J J B
A K K 4
#30. Move 3 on a path of 2 segments ending north:
1 X X C
3 X X C
2 B
A J J B
A K K 4
#31. Move A north:
1 X X C
3 X X C
A 2 B
A J J B
K K 4
#32. Move K west:
1 X X C
3 X X C
A 2 B
A J J B
K K 4
#33. Move 4 west:
1 X X C
3 X X C
A 2 B
A J J B
K K 4
#34. Move B south:
1 X X C
3 X X C
A 2
A J J B
K K 4 B
#35. Move 2 east:
1 X X C
3 X X C
A 2
A J J B
K K 4 B
#36. Move J north:
1 X X C
3 X X C
A J J 2
A B
K K 4 B
#37. Move 4 on a path of 2 segments ending west:
1 X X C
3 X X C
A J J 2
A 4 B
K K B
#38. Move K east:
1 X X C
3 X X C
A J J 2
A 4 B
K K B
#39. Move A south:
1 X X C
3 X X C
J J 2
A 4 B
A K K B
#40. Move J west:
1 X X C
3 X X C
J J 2
A 4 B
A K K B
#41. Move 2 on a path of 2 segments ending south:
1 X X C
3 X X C
J J
A 4 2 B
A K K B
#42. Move B north:
1 X X C
3 X X C
J J B
A 4 2 B
A K K
#43. Move K east:
1 X X C
3 X X C
J J B
A 4 2 B
A K K
#44. Move 4 south:
1 X X C
3 X X C
J J B
A 2 B
A 4 K K
#45. Move 2 west:
1 X X C
3 X X C
J J B
A 2 B
A 4 K K
#46. Move B west:
1 X X C
3 X X C
J J B
A 2 B
A 4 K K
#47. Move C south 2 units:
1 X X
3 X X
J J B C
A 2 B C
A 4 K K
#48. Move X east:
1 X X
3 X X
J J B C
A 2 B C
A 4 K K
#49. Move 3 on a path of 2 segments ending north:
1 3 X X
X X
J J B C
A 2 B C
A 4 K K
#50. Move J north:
1 3 X X
J J X X
B C
A 2 B C
A 4 K K
#51. Move 2 north:
1 3 X X
J J X X
2 B C
A B C
A 4 K K
#52. Move 4 north:
1 3 X X
J J X X
2 B C
A 4 B C
A K K
#53. Move A north:
1 3 X X
J J X X
A 2 B C
A 4 B C
K K
#54. Move K west 2 units:
1 3 X X
J J X X
A 2 B C
A 4 B C
K K
#55. Move B south:
1 3 X X
J J X X
A 2 C
A 4 B C
K K B
#56. Move C south:
1 3 X X
J J X X
A 2
A 4 B C
K K B C
#57. Move X south:
1 3
J J X X
A 2 X X
A 4 B C
K K B C
#58. Move 3 east 2 units:
1 3
J J X X
A 2 X X
A 4 B C
K K B C
#59. Move 1 east 2 units:
1 3
J J X X
A 2 X X
A 4 B C
K K B C
#60. Move J north:
J J 1 3
X X
A 2 X X
A 4 B C
K K B C
#61. Move A north:
J J 1 3
A X X
A 2 X X
4 B C
K K B C
#62. Move 4 west:
J J 1 3
A X X
A 2 X X
4 B C
K K B C
#63. Move 2 south:
J J 1 3
A X X
A X X
4 2 B C
K K B C
#64. Move X west:
J J 1 3
A X X
A X X
4 2 B C
K K B C
#65. Move C north 2 units:
J J 1 3
A X X C
A X X C
4 2 B
K K B
#66. Move B east:
J J 1 3
A X X C
A X X C
4 2 B
K K B
#67. Move K east:
J J 1 3
A X X C
A X X C
4 2 B
K K B
#68. Move 4 south:
J J 1 3
A X X C
A X X C
2 B
4 K K B
#69. Move 2 west:
J J 1 3
A X X C
A X X C
2 B
4 K K B
#70. Move X south:
J J 1 3
A C
A X X C
2 X X B
4 K K B
#71. Move 1 on a path of 2 segments ending west:
J J 3
A 1 C
A X X C
2 X X B
4 K K B
#72. Move 3 on a path of 2 segments ending south:
J J
A 1 3 C
A X X C
2 X X B
4 K K B
#73. Move C north:
J J C
A 1 3 C
A X X
2 X X B
4 K K B
#74. Move B north:
J J C
A 1 3 C
A X X B
2 X X B
4 K K
#75. Move J east:
J J C
A 1 3 C
A X X B
2 X X B
4 K K
#76. Move A north:
A J J C
A 1 3 C
X X B
2 X X B
4 K K
#77. Move K east:
A J J C
A 1 3 C
X X B
2 X X B
4 K K
#78. Move 4 east:
A J J C
A 1 3 C
X X B
2 X X B
4 K K
#79. Move 2 south:
A J J C
A 1 3 C
X X B
X X B
2 4 K K
#80. Move X west:
A J J C
A 1 3 C
X X B
X X B
2 4 K K
#81. Move B west:
A J J C
A 1 3 C
X X B
X X B
2 4 K K
#82. Move C south:
A J J
A 1 3 C
X X B C
X X B
2 4 K K
#83. Move J east:
A J J
A 1 3 C
X X B C
X X B
2 4 K K
#84. Move 1 north:
A 1 J J
A 3 C
X X B C
X X B
2 4 K K
#85. Move 3 west:
A 1 J J
A 3 C
X X B C
X X B
2 4 K K
#86. Move B north:
A 1 J J
A 3 B C
X X B C
X X
2 4 K K
#87. Move K north:
A 1 J J
A 3 B C
X X B C
X X K K
2 4
#88. Move 4 east 2 units:
A 1 J J
A 3 B C
X X B C
X X K K
2 4
#89. Move 2 east 2 units:
A 1 J J
A 3 B C
X X B C
X X K K
2 4
#90. Move X south:
A 1 J J
A 3 B C
B C
X X K K
X X 2 4
#91. Move 3 south:
A 1 J J
A B C
3 B C
X X K K
X X 2 4
#92. Move 1 south:
A J J
A 1 B C
3 B C
X X K K
X X 2 4
#93. Move A south:
J J
A 1 B C
A 3 B C
X X K K
X X 2 4
#94. Move J west 2 units:
J J
A 1 B C
A 3 B C
X X K K
X X 2 4
#95. Move B north:
J J B
A 1 B C
A 3 C
X X K K
X X 2 4
#96. Move C north:
J J B C
A 1 B C
A 3
X X K K
X X 2 4
#97. Move K north:
J J B C
A 1 B C
A 3 K K
X X
X X 2 4
#98. Move 2 on a path of 2 segments ending east:
J J B C
A 1 B C
A 3 K K
X X 2
X X 4
#99. Move X east:
J J B C
A 1 B C
A 3 K K
X X 2
X X 4
#100. Move A south 2 units:
J J B C
1 B C
3 K K
A X X 2
A X X 4
#101. Move 3 on a path of 2 segments ending north:
J J B C
3 1 B C
K K
A X X 2
A X X 4
#102. Move K west 2 units:
J J B C
3 1 B C
K K
A X X 2
A X X 4
#103. Move 2 on a path of 2 segments ending west:
J J B C
3 1 B C
K K 2
A X X
A X X 4
#104. Move C south 2 units:
J J B
3 1 B
K K 2 C
A X X C
A X X 4
#105. Move B east:
J J B
3 1 B
K K 2 C
A X X C
A X X 4
#106. Move 1 east:
J J B
3 1 B
K K 2 C
A X X C
A X X 4
#107. Move J east:
J J B
3 1 B
K K 2 C
A X X C
A X X 4
#108. Move 3 north:
3 J J B
1 B
K K 2 C
A X X C
A X X 4
#109. Move K north:
3 J J B
K K 1 B
2 C
A X X C
A X X 4
#110. Move 2 west:
3 J J B
K K 1 B
2 C
A X X C
A X X 4
#111. Move 1 south:
3 J J B
K K B
2 1 C
A X X C
A X X 4
#112. Move K east:
3 J J B
K K B
2 1 C
A X X C
A X X 4
#113. Move A north 2 units:
3 J J B
A K K B
A 2 1 C
X X C
X X 4
#114. Move X west:
3 J J B
A K K B
A 2 1 C
X X C
X X 4
#115. Move 1 south 2 units:
3 J J B
A K K B
A 2 C
X X C
X X 1 4
#116. Move C west:
3 J J B
A K K B
A 2 C
X X C
X X 1 4
#117. Move 4 north 2 units:
3 J J B
A K K B
A 2 C 4
X X C
X X 1
#118. Move 1 east:
3 J J B
A K K B
A 2 C 4
X X C
X X 1
#119. Move C south:
3 J J B
A K K B
A 2 4
X X C
X X C 1
#120. Move 4 west:
3 J J B
A K K B
A 2 4
X X C
X X C 1
#121. Move B south 2 units:
3 J J
A K K
A 2 4 B
X X C B
X X C 1
#122. Move J east:
3 J J
A K K
A 2 4 B
X X C B
X X C 1
#123. Move K east:
3 J J
A K K
A 2 4 B
X X C B
X X C 1
#124. Move 3 on a path of 2 segments ending south:
J J
A 3 K K
A 2 4 B
X X C B
X X C 1
#125. Move J west 2 units:
J J
A 3 K K
A 2 4 B
X X C B
X X C 1
#126. Move K north:
J J K K
A 3
A 2 4 B
X X C B
X X C 1
#127. Move 4 on a path of 2 segments ending east:
J J K K
A 3 4
A 2 B
X X C B
X X C 1
#128. Move C north 2 units:
J J K K
A 3 C 4
A 2 C B
X X B
X X 1
#129. Move X east:
J J K K
A 3 C 4
A 2 C B
X X B
X X 1
#130. Move A south 2 units:
J J K K
3 C 4
2 C B
A X X B
A X X 1
#131. Move 3 on a path of 2 segments ending south:
J J K K
C 4
3 2 C B
A X X B
A X X 1
#132. Move J south:
K K
J J C 4
3 2 C B
A X X B
A X X 1
#133. Move K west 2 units:
K K
J J C 4
3 2 C B
A X X B
A X X 1
#134. Move 4 on a path of 2 segments ending west:
K K 4
J J C
3 2 C B
A X X B
A X X 1
#135. Move B north 2 units:
K K 4 B
J J C B
3 2 C
A X X
A X X 1
#136. Move 1 north 2 units:
K K 4 B
J J C B
3 2 C 1
A X X
A X X
#137. Move X east:
K K 4 B
J J C B
3 2 C 1
A X X
A X X
#138. Move 2 south 2 units:
K K 4 B
J J C B
3 C 1
A X X
A 2 X X
#139. Move 3 east:
K K 4 B
J J C B
3 C 1
A X X
A 2 X X
#140. Move A north:
K K 4 B
J J C B
A 3 C 1
A X X
2 X X
#141. Move 2 west:
K K 4 B
J J C B
A 3 C 1
A X X
2 X X
#142. Move X west:
K K 4 B
J J C B
A 3 C 1
A X X
2 X X
#143. Move 1 south 2 units:
K K 4 B
J J C B
A 3 C
A X X
2 X X 1
#144. Move B south 2 units:
K K 4
J J C
A 3 C B
A X X B
2 X X 1
#145. Move 4 on a path of 2 segments ending south:
K K
J J C 4
A 3 C B
A X X B
2 X X 1
#146. Move K east 2 units:
K K
J J C 4
A 3 C B
A X X B
2 X X 1
#147. Move J north:
J J K K
C 4
A 3 C B
A X X B
2 X X 1
#148. Move 3 on a path of 2 segments ending west:
J J K K
3 C 4
A C B
A X X B
2 X X 1
#149. Move C west:
J J K K
3 C 4
A C B
A X X B
2 X X 1
*** The corresponding straight-line solution may be obtained by:
Replace step 1 by 2 straight-line steps.
Replace step 4 by 2 straight-line steps.
Replace step 15 by 2 straight-line steps.
Replace step 18 by 2 straight-line steps.
Replace step 20 by 2 straight-line steps.
Replace step 23 by 2 straight-line steps.
Replace step 30 by 2 straight-line steps.
Replace step 37 by 2 straight-line steps.
Replace step 41 by 2 straight-line steps.
Replace step 49 by 2 straight-line steps.
Replace step 71 by 2 straight-line steps.
Replace step 72 by 2 straight-line steps.
Replace step 98 by 2 straight-line steps.
Replace step 101 by 2 straight-line steps.
Replace step 103 by 2 straight-line steps.
Replace step 124 by 2 straight-line steps.
Replace step 127 by 2 straight-line steps.
Replace step 131 by 2 straight-line steps.
Replace step 134 by 2 straight-line steps.
Replace step 145 by 2 straight-line steps.
Replace step 148 by 2 straight-line steps.