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Datasets:
od2961
/
rush6-allwalls-solved-70k

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Size:
10K - 100K
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task
stringclasses
1 value
board
stringlengths
36
36
moves
int32
3
52
cluster_size
int64
7
280k
num_walls
int32
0
2
has_walls
bool
2 classes
solution
listlengths
3
52
messages
dict
solve
GoooKLGBBBKLAAoJoLHIoJCCHIDDooHxFFoo
17
1,793
1
true
[ "J>2", "K>2", "Fv2", "A>2", "H<2", "Cv2", "D>1", "G^3", "A<1", "H<1", "I^2", "J<3", "Fv1", "Fv1", "K<1", "Dv3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GoooKLGBBBKLAAoJoLHIoJCCHIDDooHxFFoo\nReturn a single comma-separated move list.", "J>2,K>2,Fv2,A>2,H<2,Cv2,D>1,G^3,A<1,H<1,I^2,J<3,Fv1,Fv1,K<1,Dv3,A>3" ] }
solve
EGoIBBEGHIoLFGHAALFCCJKxFooJKoooooKo
17
708
1
true
[ "F^1", "Hv1", "Jv1", "I>1", "Cv3", "A<3", "Cv1", "Cv1", "C<3", "E^1", "F^1", "J^3", "J>1", "Gv3", "I<1", "Ev3", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): EGoIBBEGHIoLFGHAALFCCJKxFooJKoooooKo\nReturn a single comma-separated move list.", "F^1,Hv1,Jv1,I>1,Cv3,A<3,Cv1,Cv1,C<3,E^1,F^1,J^3,J>1,Gv3,I<1,Ev3,A>4" ] }
solve
xooCCCJDDLxMJAALoMooKFFMGGKoooHHKIIo
17
1,032
2
true
[ "B<1", "Cv1", "C<1", "E^1", "H>1", "K>1", "Ev3", "A>2", "G<1", "Cv1", "B>1", "F^3", "G<2", "I^1", "K<1", "Ev2", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): xooCCCJDDLxMJAALoMooKFFMGGKoooHHKIIo\nReturn a single comma-separated move list.", "B<1,Cv1,C<1,E^1,H>1,K>1,Ev3,A>2,G<1,Cv1,B>1,F^3,G<2,I^1,K<1,Ev2,A>1" ] }
solve
ooGBBBooGooJAAGHoJxDDHoJFooIooFEEIoo
17
282
1
true
[ "E^1", "F>2", "Bv1", "B<3", "D^1", "E^1", "F>1", "H^1", "I>2", "Ev2", "A>3", "E^1", "I<2", "Fv1", "F<1", "Dv3", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooGBBBooGooJAAGHoJxDDHoJFooIooFEEIoo\nReturn a single comma-separated move list.", "E^1,F>2,Bv1,B<3,D^1,E^1,F>1,H^1,I>2,Ev2,A>3,E^1,I<2,Fv1,F<1,Dv3,A>1" ] }
solve
oJBBxoxJooooAAKoooIoKEEEIFFoLoGGHHLo
17
3,163
2
true
[ "D^1", "F<2", "H^3", "G>2", "H>2", "Dv2", "A>2", "Bv3", "B<2", "A<2", "F^3", "A>2", "F^2", "G<2", "H<1", "Ev2", "A>2" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oJBBxoxJooooAAKoooIoKEEEIFFoLoGGHHLo\nReturn a single comma-separated move list.", "D^1,F<2,H^3,G>2,H>2,Dv2,A>2,Bv3,B<2,A<2,F^3,A>2,F^2,G<2,H<1,Ev2,A>2" ] }
solve
IBBoxoIDDDMNAAoLMNJEELooJKFFooxKHHoo
17
13,781
2
true
[ "C>1", "Ev1", "D>1", "E^1", "K>2", "L>2", "Fv2", "A>2", "H>1", "I^4", "A<1", "I<1", "J^2", "K<3", "Gv1", "Gv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): IBBoxoIDDDMNAAoLMNJEELooJKFFooxKHHoo\nReturn a single comma-separated move list.", "C>1,Ev1,D>1,E^1,K>2,L>2,Fv2,A>2,H>1,I^4,A<1,I<1,J^2,K<3,Gv1,Gv1,A>3" ] }
solve
IooooxICCDDMAAJKoMEEJKLooxGGLoHHHooo
17
6,014
2
true
[ "Ev2", "D>1", "F^2", "H^1", "J>1", "K>3", "Fv2", "A>1", "G>1", "Bv4", "C<1", "A<1", "F<1", "I^4", "J<1", "Fv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): IooooxICCDDMAAJKoMEEJKLooxGGLoHHHooo\nReturn a single comma-separated move list.", "Ev2,D>1,F^2,H^1,J>1,K>3,Fv2,A>1,G>1,Bv4,C<1,A<1,F<1,I^4,J<1,Fv1,A>4" ] }
solve
IBBCCCIDDEEEooJAALFFJoKLooooKMoxHHKM
17
908
1
true
[ "Gv1", "A<1", "J^1", "L>1", "Jv1", "I>1", "Bv4", "B<1", "C<1", "D<1", "E<1", "G^2", "H<1", "J^1", "L<1", "Gv1", "A>2" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): IBBCCCIDDEEEooJAALFFJoKLooooKMoxHHKM\nReturn a single comma-separated move list.", "Gv1,A<1,J^1,L>1,Jv1,I>1,Bv4,B<1,C<1,D<1,E<1,G^2,H<1,J^1,L<1,Gv1,A>2" ] }
solve
oEBBIKoEFGIKAAFGJoDoFHJoDooHooDCCHoo
17
10,338
0
false
[ "Ev3", "Gv1", "Dv1", "C>2", "E^1", "H^1", "K>3", "Ev2", "Fv1", "A>2", "Bv3", "A<1", "Bv1", "B<3", "C^1", "D^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): oEBBIKoEFGIKAAFGJoDoFHJoDooHooDCCHoo\nReturn a single comma-separated move list.", "Ev3,Gv1,Dv1,C>2,E^1,H^1,K>3,Ev2,Fv1,A>2,Bv3,A<1,Bv1,B<3,C^1,D^1,A>3" ] }
solve
BBBIoJCCCIoJAAHooKGoHooKGDDDxooooFFF
17
2,471
1
true
[ "Cv2", "J<1", "Gv2", "Cv2", "B>3", "C>3", "D^2", "A>1", "G^1", "H<1", "Fv1", "A>2", "Bv2", "B<1", "C<1", "F^2", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBBIoJCCCIoJAAHooKGoHooKGDDDxooooFFF\nReturn a single comma-separated move list.", "Cv2,J<1,Gv2,Cv2,B>3,C>3,D^2,A>1,G^1,H<1,Fv1,A>2,Bv2,B<1,C<1,F^2,A>1" ] }
solve
ooxCCLGooJoLGAAJKoxEEJKooHIooooHIFFF
17
3,388
2
true
[ "Cv1", "B>1", "C^1", "D^1", "A<1", "F^1", "G>2", "H^1", "I^3", "I<1", "J<3", "Fv3", "Fv3", "G>2", "Cv3", "Dv2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): ooxCCLGooJoLGAAJKoxEEJKooHIooooHIFFF\nReturn a single comma-separated move list.", "Cv1,B>1,C^1,D^1,A<1,F^1,G>2,H^1,I^3,I<1,J<3,Fv3,Fv3,G>2,Cv3,Dv2,A>4" ] }
solve
xoICCoDDIoKLoHAAKLoHEEKLoooJoooFFJGG
17
11,775
1
true
[ "F^1", "Gv1", "A<2", "Bv1", "B<1", "F^1", "H>2", "I^3", "I<2", "J<1", "K<2", "Cv3", "Cv3", "B>2", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): xoICCoDDIoKLoHAAKLoHEEKLoooJoooFFJGG\nReturn a single comma-separated move list.", "F^1,Gv1,A<2,Bv1,B<1,F^1,H>2,I^3,I<2,J<1,K<2,Cv3,Cv3,B>2,D^1,E^1,A>4" ] }
solve
IxooCCIDDDxNJKAAoNJKFFoNooLMooGGLMHH
17
1,882
2
true
[ "C<1", "E^1", "Gv1", "A<1", "H>2", "I^1", "K>1", "Fv2", "Bv2", "D<1", "J^3", "I<1", "L<1", "Cv3", "B>1", "D^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): IxooCCIDDDxNJKAAoNJKFFoNooLMooGGLMHH\nReturn a single comma-separated move list.", "C<1,E^1,Gv1,A<1,H>2,I^1,K>1,Fv2,Bv2,D<1,J^3,I<1,L<1,Cv3,B>1,D^1,A>3" ] }
solve
oBBCCLooIDDLAAIJKoEEEJKoHooJKxHGGGoo
17
389
1
true
[ "B<1", "Dv2", "C>1", "D^1", "E>1", "A>1", "F^2", "Gv1", "H>1", "J^3", "I<1", "K<1", "Dv3", "D<1", "F<1", "G^2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oBBCCLooIDDLAAIJKoEEEJKoHooJKxHGGGoo\nReturn a single comma-separated move list.", "B<1,Dv2,C>1,D^1,E>1,A>1,F^2,Gv1,H>1,J^3,I<1,K<1,Dv3,D<1,F<1,G^2,A>3" ] }
solve
oBBxLoDDEELMIAAKLMIFFKooooJGGGooJHHH
17
1,940
1
true
[ "B<1", "F^1", "Gv2", "A<1", "H<1", "J^2", "K<2", "L<2", "Cv3", "E>1", "F^2", "A>1", "H>1", "J^2", "K<1", "Hv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oBBxLoDDEELMIAAKLMIFFKooooJGGGooJHHH\nReturn a single comma-separated move list.", "B<1,F^1,Gv2,A<1,H<1,J^2,K<2,L<2,Cv3,E>1,F^2,A>1,H>1,J^2,K<1,Hv1,A>3" ] }
solve
BBoooxHooJooHAAJKLDDDJKLxoIFFoooIGGG
17
5,690
2
true
[ "B>1", "C^1", "D^1", "A<1", "E^1", "F^1", "G>3", "H^3", "H<3", "Gv2", "I<2", "Fv2", "J<3", "Dv3", "C>2", "D^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBoooxHooJooHAAJKLDDDJKLxoIFFoooIGGG\nReturn a single comma-separated move list.", "B>1,C^1,D^1,A<1,E^1,F^1,G>3,H^3,H<3,Gv2,I<2,Fv2,J<3,Dv3,C>2,D^1,A>4" ] }
solve
xoHICCooHIKooAAoKooxEEKooooJFFGGGJoo
17
420
2
true
[ "Cv1", "A<1", "Bv1", "B<3", "D^1", "E^1", "F>2", "G^2", "H<3", "Fv2", "Cv1", "F<2", "Cv3", "B>3", "C^1", "D^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): xoHICCooHIKooAAoKooxEEKooooJFFGGGJoo\nReturn a single comma-separated move list.", "Cv1,A<1,Bv1,B<3,D^1,E^1,F>2,G^2,H<3,Fv2,Cv1,F<2,Cv3,B>3,C^1,D^1,A>4" ] }
solve
ooIBBoooIJCCAAIJLMoxEELMoFFKooxHHKoo
17
7,858
2
true
[ "Fv2", "Fv2", "F>2", "Dv1", "G<1", "Bv2", "B<3", "C<4", "D^2", "E^2", "F<2", "I^4", "G>2", "I^1", "K>2", "Cv3", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): ooIBBoooIJCCAAIJLMoxEELMoFFKooxHHKoo\nReturn a single comma-separated move list.", "Fv2,Fv2,F>2,Dv1,G<1,Bv2,B<3,C<4,D^2,E^2,F<2,I^4,G>2,I^1,K>2,Cv3,A>4" ] }
solve
BBoxDDooxoooAAooKLHFFFKLHoIJGGooIJoo
17
2,089
2
true
[ "B>1", "A>1", "D^1", "E^1", "F^3", "A<1", "G<1", "I^3", "H>3", "I^2", "J<4", "Hv2", "H<3", "Ev2", "Ev2", "Ev2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBoxDDooxoooAAooKLHFFFKLHoIJGGooIJoo\nReturn a single comma-separated move list.", "B>1,A>1,D^1,E^1,F^3,A<1,G<1,I^3,H>3,I^2,J<4,Hv2,H<3,Ev2,Ev2,Ev2,A>4" ] }
solve
ooooxooCCoIJoGAAIJoGoooKoGHDDKEEHFFK
17
1,451
1
true
[ "B<1", "D^1", "F^1", "G^1", "J>1", "I>2", "Ev1", "A<2", "G^3", "A>2", "G^1", "H<1", "Ev2", "I<1", "J<1", "Fv1", "A>2" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooooxooCCoIJoGAAIJoGoooKoGHDDKEEHFFK\nReturn a single comma-separated move list.", "B<1,D^1,F^1,G^1,J>1,I>2,Ev1,A<2,G^3,A>2,G^1,H<1,Ev2,I<1,J<1,Fv1,A>2" ] }
solve
xxDDDLooooKLoAAoKMEEJooMIoJFFMIGGGHH
17
628
2
true
[ "A<1", "G^2", "G>1", "H^1", "I<1", "Ev2", "J<1", "K<1", "Ev1", "Cv1", "B>1", "C^1", "A>3", "Bv1", "B<1", "D^1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): xxDDDLooooKLoAAoKMEEJooMIoJFFMIGGGHH\nReturn a single comma-separated move list.", "A<1,G^2,G>1,H^1,I<1,Ev2,J<1,K<1,Ev1,Cv1,B>1,C^1,A>3,Bv1,B<1,D^1,A>1" ] }
solve
BBBJKLooIJKLAAIJooCCooxoHEEoxoHGGGoo
17
5,928
2
true
[ "Cv1", "Cv1", "Cv3", "B>3", "C^1", "A>1", "F>1", "H^4", "A<1", "G<1", "I<1", "Cv3", "C<2", "E^1", "J<1", "Ev2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBBJKLooIJKLAAIJooCCooxoHEEoxoHGGGoo\nReturn a single comma-separated move list.", "Cv1,Cv1,Cv3,B>3,C^1,A>1,F>1,H^4,A<1,G<1,I<1,Cv3,C<2,E^1,J<1,Ev2,A>4" ] }
solve
oJooBBoJCCxMoAALoMxFFLoMooKGGoHHKIIo
17
18,198
2
true
[ "C<1", "E^1", "A<1", "I>1", "K>1", "Fv2", "F>3", "G^2", "H^2", "I<4", "Fv2", "Fv2", "F<3", "I^1", "K<1", "Dv3", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oJooBBoJCCxMoAALoMxFFLoMooKGGoHHKIIo\nReturn a single comma-separated move list.", "C<1,E^1,A<1,I>1,K>1,Fv2,F>3,G^2,H^2,I<4,Fv2,Fv2,F<3,I^1,K<1,Dv3,A>4" ] }
solve
oxCCCLoDDooLoAAKoMxFFKoMIoJoGGIoJHHH
17
1,424
2
true
[ "D<1", "A<1", "E^1", "G>2", "I^2", "J<3", "Gv1", "Cv1", "B>1", "F^2", "G<2", "Ev2", "A>3", "Bv1", "B<1", "E^1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oxCCCLoDDooLoAAKoMxFFKoMIoJoGGIoJHHH\nReturn a single comma-separated move list.", "D<1,A<1,E^1,G>2,I^2,J<3,Gv1,Cv1,B>1,F^2,G<2,Ev2,A>3,Bv1,B<1,E^1,A>1" ] }
solve
BBBooJCCDDDJoAAHIKooGHIKooGEEEooooFF
17
2,231
0
false
[ "A<1", "I^1", "J<3", "Gv1", "Gv1", "K<1", "Gv2", "Cv2", "B>3", "D>1", "E^2", "A>3", "Bv2", "B<1", "D<1", "F^2", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): BBBooJCCDDDJoAAHIKooGHIKooGEEEooooFF\nReturn a single comma-separated move list.", "A<1,I^1,J<3,Gv1,Gv1,K<1,Gv2,Cv2,B>3,D>1,E^2,A>3,Bv2,B<1,D<1,F^2,A>1" ] }
solve
GooooxGHICCCGHIAAKoxEEoKoooJFFoooJoo
17
1,791
2
true
[ "Bv3", "B^1", "C^1", "A<3", "G>1", "Cv2", "C<1", "E^1", "G>1", "H^2", "I<3", "Fv2", "G<1", "Dv2", "C>1", "D^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): GooooxGHICCCGHIAAKoxEEoKoooJFFoooJoo\nReturn a single comma-separated move list.", "Bv3,B^1,C^1,A<3,G>1,Cv2,C<1,E^1,G>1,H^2,I<3,Fv2,G<1,Dv2,C>1,D^2,A>4" ] }
solve
BBBCCMHooKLMHAAKLoIoJDDxIoJoooFFFoox
17
707
2
true
[ "Dv1", "C>1", "B>1", "D^1", "A<1", "I^2", "J<2", "Fv3", "Fv3", "H>2", "Ev2", "A>1", "Bv1", "B<1", "C<1", "E^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBBCCMHooKLMHAAKLoIoJDDxIoJoooFFFoox\nReturn a single comma-separated move list.", "Dv1,C>1,B>1,D^1,A<1,I^2,J<2,Fv3,Fv3,H>2,Ev2,A>1,Bv1,B<1,C<1,E^1,A>3" ] }
solve
HBBoJoHxDDJKHAAoJKooIoooooIEEEFFGGoo
17
4,054
1
true
[ "F^1", "J>1", "I>1", "Bv3", "B<1", "A<1", "G^1", "H<2", "Cv2", "D>1", "E^2", "A>1", "G^1", "I<1", "J<1", "Gv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): HBBoJoHxDDJKHAAoJKooIoooooIEEEFFGGoo\nReturn a single comma-separated move list.", "F^1,J>1,I>1,Bv3,B<1,A<1,G^1,H<2,Cv2,D>1,E^2,A>1,G^1,I<1,J<1,Gv1,A>3" ] }
solve
IxCCLoIDDKLMAAJKoMooJEExooJGGoHHoooo
17
7,707
2
true
[ "Dv1", "C>1", "G^1", "Hv1", "A>1", "Bv3", "D<1", "A<1", "H^3", "I<2", "J>1", "Fv3", "H>2", "Bv3", "B<1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): IxCCLoIDDKLMAAJKoMooJEExooJGGoHHoooo\nReturn a single comma-separated move list.", "Dv1,C>1,G^1,Hv1,A>1,Bv3,D<1,A<1,H^3,I<2,J>1,Fv3,H>2,Bv3,B<1,E^1,A>4" ] }
solve
xooCCooDDoLMoAAoLMEEFFLMGGJKHHooJKII
17
6,794
1
true
[ "B<1", "C<1", "D^1", "E^1", "A<1", "G>2", "I^3", "J^3", "I<2", "K<2", "L<2", "Cv3", "Cv3", "B>2", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): xooCCooDDoLMoAAoLMEEFFLMGGJKHHooJKII\nReturn a single comma-separated move list.", "B<1,C<1,D^1,E^1,A<1,G>2,I^3,J^3,I<2,K<2,L<2,Cv3,Cv3,B>2,D^1,E^1,A>4" ] }
solve
GoHBBBGoHIooGAAIoooooxJKDDooJKEEEFFK
17
2,117
1
true
[ "F^1", "G^1", "H>3", "J>1", "I>1", "Bv3", "A<1", "Bv3", "B<3", "C^1", "A>1", "D^2", "F^1", "I<1", "J<1", "Fv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GoHBBBGoHIooGAAIoooooxJKDDooJKEEEFFK\nReturn a single comma-separated move list.", "F^1,G^1,H>3,J>1,I>1,Bv3,A<1,Bv3,B<3,C^1,A>1,D^2,F^1,I<1,J<1,Fv1,A>3" ] }
solve
GBBoJoGoHIJoAAHIooooxIDDoooooKoxFFoK
17
1,754
2
true
[ "Dv1", "C>2", "D^1", "A>1", "Bv3", "A<1", "Bv1", "B<3", "C^1", "D^1", "E^1", "G<1", "H^4", "H>1", "I>2", "Dv3", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): GBBoJoGoHIJoAAHIooooxIDDoooooKoxFFoK\nReturn a single comma-separated move list.", "Dv1,C>2,D^1,A>1,Bv3,A<1,Bv1,B<3,C^1,D^1,E^1,G<1,H^4,H>1,I>2,Dv3,A>4" ] }
solve
BBoIJoooxIJKAAHoJKFGHoooFGDDooooEEEo
17
40,960
1
true
[ "Cv1", "Cv1", "B>4", "C^1", "Ev2", "I>1", "Ev1", "A>2", "E^3", "F^3", "A<2", "G^1", "I<3", "Gv1", "J<1", "Fv2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBoIJoooxIJKAAHoJKFGHoooFGDDooooEEEo\nReturn a single comma-separated move list.", "Cv1,Cv1,B>4,C^1,Ev2,I>1,Ev1,A>2,E^3,F^3,A<2,G^1,I<3,Gv1,J<1,Fv2,A>4" ] }
solve
oIxCCCoIKoooAAKoMNHJDDMNHJoLooxFFLGG
17
929
2
true
[ "E^1", "F^1", "I>2", "Dv2", "A>1", "F^3", "A<1", "H^2", "J^3", "K>1", "Iv1", "I<4", "Ev2", "Ev2", "Ev2", "Ev2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oIxCCCoIKoooAAKoMNHJDDMNHJoLooxFFLGG\nReturn a single comma-separated move list.", "E^1,F^1,I>2,Dv2,A>1,F^3,A<1,H^2,J^3,K>1,Iv1,I<4,Ev2,Ev2,Ev2,Ev2,A>4" ] }
solve
JBBoxoJoLoDDAALooMKEExoMKGGGoMHHIIIo
17
1,016
2
true
[ "E<1", "F^1", "I>2", "K>1", "J>1", "Gv1", "G<1", "Dv2", "A>3", "G^2", "G>1", "H^1", "I<1", "J<1", "K<1", "Fv2", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): JBBoxoJoLoDDAALooMKEExoMKGGGoMHHIIIo\nReturn a single comma-separated move list.", "E<1,F^1,I>2,K>1,J>1,Gv1,G<1,Dv2,A>3,G^2,G>1,H^1,I<1,J<1,K<1,Fv2,A>1" ] }
solve
GoJoBBGxJoKLHIAAKLHIDDDLHEEEooFFFooo
17
3,289
1
true
[ "D<1", "F^1", "I>1", "J>2", "Hv1", "K>1", "Gv1", "A<2", "Cv3", "C<1", "E^1", "A>3", "H^2", "I<1", "J<1", "Ev3", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GoJoBBGxJoKLHIAAKLHIDDDLHEEEooFFFooo\nReturn a single comma-separated move list.", "D<1,F^1,I>1,J>2,Hv1,K>1,Gv1,A<2,Cv3,C<1,E^1,A>3,H^2,I<1,J<1,Ev3,A>1" ] }
solve
xCCoKoHoIoKxHoIAALooIEELoooJoLoFFJGG
17
1,652
2
true
[ "Dv2", "I<1", "Dv2", "A<3", "Cv1", "B>2", "F^3", "G<2", "H^3", "H>2", "Bv3", "B<2", "C^1", "D^1", "J<1", "Ev1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): xCCoKoHoIoKxHoIAALooIEELoooJoLoFFJGG\nReturn a single comma-separated move list.", "Dv2,I<1,Dv2,A<3,Cv1,B>2,F^3,G<2,H^3,H>2,Bv3,B<2,C^1,D^1,J<1,Ev1,A>4" ] }
solve
GHoBBBGHoJoKAAoJoKxDDEEKooIoooooIFFo
17
560
1
true
[ "D<1", "F^1", "H>1", "J>1", "Fv3", "A>2", "Bv1", "F>1", "Bv4", "B<2", "A<1", "E<1", "I^4", "G<1", "J<1", "Dv3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GHoBBBGHoJoKAAoJoKxDDEEKooIoooooIFFo\nReturn a single comma-separated move list.", "D<1,F^1,H>1,J>1,Fv3,A>2,Bv1,F>1,Bv4,B<2,A<1,E<1,I^4,G<1,J<1,Dv3,A>3" ] }
solve
FGBBoJFGHIoJAAHIoKCCoooKooxxoooooooo
17
8,250
2
true
[ "Hv1", "Ev1", "D>2", "E^1", "F^1", "A>2", "H>2", "Bv3", "Bv3", "A<2", "Bv1", "Bv1", "B<4", "C^1", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): FGBBoJFGHIoJAAHIoKCCoooKooxxoooooooo\nReturn a single comma-separated move list.", "Hv1,Ev1,D>2,E^1,F^1,A>2,H>2,Bv3,Bv3,A<2,Bv1,Bv1,B<4,C^1,D^1,E^1,A>4" ] }
solve
ooxCCCDDJEEEAAJooLIFFKoLIGGKoooooxoo
17
708
2
true
[ "Fv1", "Fv1", "F<1", "G^1", "J>2", "Dv3", "C>1", "A>1", "F>1", "H^4", "A<1", "G<1", "I^2", "J<3", "Fv1", "Fv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): ooxCCCDDJEEEAAJooLIFFKoLIGGKoooooxoo\nReturn a single comma-separated move list.", "Fv1,Fv1,F<1,G^1,J>2,Dv3,C>1,A>1,F>1,H^4,A<1,G<1,I^2,J<3,Fv1,Fv1,A>4" ] }
solve
BBBGHoooxGHoAAFGoIoEFooIoEDDoIoooooo
17
3,264
1
true
[ "Dv1", "F^1", "H>2", "Cv3", "B>2", "Ev1", "A>2", "E^3", "A<2", "F^1", "G^2", "H<4", "Dv2", "Dv2", "Dv2", "Dv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBBGHoooxGHoAAFGoIoEFooIoEDDoIoooooo\nReturn a single comma-separated move list.", "Dv1,F^1,H>2,Cv3,B>2,Ev1,A>2,E^3,A<2,F^1,G^2,H<4,Dv2,Dv2,Dv2,Dv1,A>4" ] }
solve
BBooooxJDDoMIJAAoMIEEEoMooKLFFGGKLHH
17
11,615
1
true
[ "B>3", "C^1", "D>1", "E^1", "Fv1", "A<2", "G>2", "H^4", "K>1", "Gv1", "G<3", "I^2", "J<3", "Gv1", "L<1", "Ev3", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBooooxJDDoMIJAAoMIEEEoMooKLFFGGKLHH\nReturn a single comma-separated move list.", "B>3,C^1,D>1,E^1,Fv1,A<2,G>2,H^4,K>1,Gv1,G<3,I^2,J<3,Gv1,L<1,Ev3,A>4" ] }
solve
GHIBBMGHICCMGAAJLooooJLoooxKxoFFoKoo
17
15,442
2
true
[ "Fv3", "E>1", "F>1", "G^2", "A>1", "Cv3", "K>1", "Bv3", "A<2", "Bv2", "Bv2", "B<4", "C<4", "D^2", "E^2", "F^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): GHIBBMGHICCMGAAJLooooJLoooxKxoFFoKoo\nReturn a single comma-separated move list.", "Fv3,E>1,F>1,G^2,A>1,Cv3,K>1,Bv3,A<2,Bv2,Bv2,B<4,C<4,D^2,E^2,F^2,A>4" ] }
solve
oIJoBBoIJoLoHIAALMHCCDDMooKoxoFFKoox
17
1,150
2
true
[ "D<1", "F^1", "G^2", "H<1", "I>1", "J^1", "K>3", "Iv1", "H>2", "Bv3", "Ev2", "A<2", "Bv1", "B<3", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oIJoBBoIJoLoHIAALMHCCDDMooKoxoFFKoox\nReturn a single comma-separated move list.", "D<1,F^1,G^2,H<1,I>1,J^1,K>3,Iv1,H>2,Bv3,Ev2,A<2,Bv1,B<3,D^1,E^1,A>4" ] }
solve
ooooxMCCooLMIAAKLMIoJKDDEEJFFooGGoHH
17
17,984
1
true
[ "C>1", "E^2", "A<1", "F^1", "K<1", "Gv1", "G<4", "Ev1", "Ev1", "L<1", "Cv3", "C>3", "D^2", "I^4", "J<1", "Fv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooooxMCCooLMIAAKLMIoJKDDEEJFFooGGoHH\nReturn a single comma-separated move list.", "C>1,E^2,A<1,F^1,K<1,Gv1,G<4,Ev1,Ev1,L<1,Cv3,C>3,D^2,I^4,J<1,Fv1,A>4" ] }
solve
GoHBBxGoHJDDGAAJoKooIooKxoIFFKooIooo
17
120
2
true
[ "Bv1", "Ev1", "E<1", "G^1", "I>1", "Gv1", "A>2", "Bv1", "B<3", "D^1", "A<2", "H^1", "I<1", "Fv2", "E>1", "F^2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): GoHBBxGoHJDDGAAJoKooIooKxoIFFKooIooo\nReturn a single comma-separated move list.", "Bv1,Ev1,E<1,G^1,I>1,Gv1,A>2,Bv1,B<3,D^1,A<2,H^1,I<1,Fv2,E>1,F^2,A>3" ] }
solve
oxCCCoooIJooAAIJooGHIDDDGHoooKxFFooK
17
1,668
2
true
[ "B>1", "I>2", "Cv2", "A>1", "D^3", "A<1", "Ev1", "E^3", "F<3", "H^3", "I>1", "Ev3", "F>3", "Cv3", "C<1", "D^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oxCCCoooIJooAAIJooGHIDDDGHoooKxFFooK\nReturn a single comma-separated move list.", "B>1,I>2,Cv2,A>1,D^3,A<1,Ev1,E^3,F<3,H^3,I>1,Ev3,F>3,Cv3,C<1,D^1,A>4" ] }
solve
HoIBBoHoIJCCHAAJKoooooKLoooxxLFFGGGL
17
4,521
2
true
[ "Ev1", "H^1", "J>1", "I>1", "Bv3", "A<1", "Bv3", "B<2", "C<3", "A>1", "D^2", "E^2", "G^1", "I<1", "J<1", "Gv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): HoIBBoHoIJCCHAAJKoooooKLoooxxLFFGGGL\nReturn a single comma-separated move list.", "Ev1,H^1,J>1,I>1,Bv3,A<1,Bv3,B<2,C<3,A>1,D^2,E^2,G^1,I<1,J<1,Gv1,A>3" ] }
solve
JBBCCoJDDLooJAALooEEKLoxooKGGxIIIooo
17
3,938
2
true
[ "D>1", "F^1", "J>3", "Hv1", "G>3", "Bv3", "B<1", "E<1", "A<1", "H^4", "A>1", "G^1", "H<2", "I<2", "J<3", "Dv3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): JBBCCoJDDLooJAALooEEKLoxooKGGxIIIooo\nReturn a single comma-separated move list.", "D>1,F^1,J>3,Hv1,G>3,Bv3,B<1,E<1,A<1,H^4,A>1,G^1,H<2,I<2,J<3,Dv3,A>3" ] }
solve
HoBBxoHoJKDDAAJKooIooLoMIEELoMooxGGG
17
410
2
true
[ "C<1", "E^1", "H^1", "I^1", "J>3", "Ev2", "Fv1", "A>3", "Bv1", "B<1", "H^3", "A<2", "I^1", "J<3", "Gv1", "Gv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): HoBBxoHoJKDDAAJKooIooLoMIEELoMooxGGG\nReturn a single comma-separated move list.", "C<1,E^1,H^1,I^1,J>3,Ev2,Fv1,A>3,Bv1,B<1,H^3,A<2,I^1,J<3,Gv1,Gv1,A>3" ] }
solve
IxCCCMIDDKLMAAJKLNooJEENoooooNFFGGxo
17
163
2
true
[ "Hv1", "A>1", "Bv3", "D<1", "A<1", "Gv1", "Cv1", "B>1", "H^3", "I<2", "Ev2", "Ev2", "A>3", "Bv1", "B<1", "E^1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): IxCCCMIDDKLMAAJKLNooJEENoooooNFFGGxo\nReturn a single comma-separated move list.", "Hv1,A>1,Bv3,D<1,A<1,Gv1,Cv1,B>1,H^3,I<2,Ev2,Ev2,A>3,Bv1,B<1,E^1,A>1" ] }
solve
ooooJoooGxJKAAGIJKCCHIDDoFHooooFEEoo
17
1,070
1
true
[ "C^1", "D^1", "J>2", "Ev2", "A>2", "Fv1", "E>2", "G^3", "F<2", "H^1", "I^1", "J<4", "Gv1", "Gv1", "G<2", "Cv3", "A>2" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooooJoooGxJKAAGIJKCCHIDDoFHooooFEEoo\nReturn a single comma-separated move list.", "C^1,D^1,J>2,Ev2,A>2,Fv1,E>2,G^3,F<2,H^1,I^1,J<4,Gv1,Gv1,G<2,Cv3,A>2" ] }
solve
BBIooooxIDDDAAIooLoooJKLHEEJKoHFFGGo
17
12,663
1
true
[ "Ev1", "E^1", "F^1", "H^1", "I>2", "J<1", "Cv3", "B>1", "A>1", "F^3", "A<1", "G^2", "I<3", "Dv2", "Ev1", "Ev1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBIooooxIDDDAAIooLoooJKLHEEJKoHFFGGo\nReturn a single comma-separated move list.", "Ev1,E^1,F^1,H^1,I>2,J<1,Cv3,B>1,A>1,F^3,A<1,G^2,I<3,Dv2,Ev1,Ev1,A>4" ] }
solve
oGBBoooGHooJAAHooJoxHDDKEEEoIKoFFoIo
17
2,071
1
true
[ "C>1", "D^1", "E^1", "F<1", "G^1", "I^3", "H>1", "I>3", "J<1", "Cv3", "C<1", "E^1", "A>3", "G^2", "I<1", "Gv1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oGBBoooGHooJAAHooJoxHDDKEEEoIKoFFoIo\nReturn a single comma-separated move list.", "C>1,D^1,E^1,F<1,G^1,I^3,H>1,I>3,J<1,Cv3,C<1,E^1,A>3,G^2,I<1,Gv1,A>1" ] }
solve
GBBxDDGoHEEEAAHooJooooIJFFFoIJoooooo
17
1,156
1
true
[ "Ev1", "E<1", "G^1", "H^1", "I>3", "Gv1", "A>1", "Bv3", "B<1", "A<1", "H^1", "I<2", "Ev2", "D>1", "E^2", "Fv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GBBxDDGoHEEEAAHooJooooIJFFFoIJoooooo\nReturn a single comma-separated move list.", "Ev1,E<1,G^1,H^1,I>3,Gv1,A>1,Bv3,B<1,A<1,H^1,I<2,Ev2,D>1,E^2,Fv1,A>4" ] }
solve
oHxoCCoHJooMAAJoLMGIDDLMGIoKooGEEKFF
17
1,798
1
true
[ "C<1", "E^1", "F^1", "I>2", "Ev2", "A>1", "F^1", "J^3", "K<1", "Iv1", "I<2", "Fv2", "L<1", "Dv3", "C>1", "D^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oHxoCCoHJooMAAJoLMGIDDLMGIoKooGEEKFF\nReturn a single comma-separated move list.", "C<1,E^1,F^1,I>2,Ev2,A>1,F^1,J^3,K<1,Iv1,I<2,Fv2,L<1,Dv3,C>1,D^1,A>3" ] }
solve
oBBoKoxoDDKoAAIJKoooIJEEFFFooLoxHHoL
17
10,354
2
true
[ "B<1", "D<1", "F^1", "G<1", "I^4", "I>3", "J>1", "Gv2", "G<3", "H^2", "I<3", "Fv2", "J<1", "Cv3", "D>2", "E^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oBBoKoxoDDKoAAIJKoooIJEEFFFooLoxHHoL\nReturn a single comma-separated move list.", "B<1,D<1,F^1,G<1,I^4,I>3,J>1,Gv2,G<3,H^2,I<3,Fv2,J<1,Cv3,D>2,E^2,A>4" ] }
solve
oxooxoooHJoMAAHJLMoGDDLMFGIKooFGIKEE
17
2,438
2
true
[ "B^1", "C^1", "D^1", "A>2", "E^1", "F^1", "G>2", "H^1", "I^1", "J^1", "K<4", "Hv1", "Hv1", "H<2", "Dv3", "Dv2", "A>2" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oxooxoooHJoMAAHJLMoGDDLMFGIKooFGIKEE\nReturn a single comma-separated move list.", "B^1,C^1,D^1,A>2,E^1,F^1,G>2,H^1,I^1,J^1,K<4,Hv1,Hv1,H<2,Dv3,Dv2,A>2" ] }
solve
HxCCCKHDDJoKAAIJoLooIEELooIooLoFFoxo
17
1,675
2
true
[ "Hv1", "Dv1", "C>1", "J<1", "Gv1", "A>1", "Bv3", "C<1", "A<1", "G^3", "H<2", "Ev3", "G>2", "Bv3", "B<1", "D^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): HxCCCKHDDJoKAAIJoLooIEELooIooLoFFoxo\nReturn a single comma-separated move list.", "Hv1,Dv1,C>1,J<1,Gv1,A>1,Bv3,C<1,A<1,G^3,H<2,Ev3,G>2,Bv3,B<1,D^1,A>4" ] }
solve
GBBooKGoCCxKGoAAJKooHIJoooHIEEFFFIoo
17
9,240
1
true
[ "Bv2", "B<1", "D<2", "A<1", "H^2", "J>1", "Fv1", "A<1", "H^3", "A>1", "H^1", "I<3", "Dv3", "Gv1", "J<1", "Ev2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GBBooKGoCCxKGoAAJKooHIJoooHIEEFFFIoo\nReturn a single comma-separated move list.", "Bv2,B<1,D<2,A<1,H^2,J>1,Fv1,A<1,H^3,A>1,H^1,I<3,Dv3,Gv1,J<1,Ev2,A>3" ] }
solve
GIJBBMGIJKoMHAAKooHooxLxHEEoLoFFoooo
17
15,648
2
true
[ "Fv1", "E>1", "F^1", "A>1", "I^1", "J>2", "Cv3", "K>1", "Gv1", "A<2", "Cv3", "Cv1", "C<3", "D^1", "E^1", "F^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): GIJBBMGIJKoMHAAKooHooxLxHEEoLoFFoooo\nReturn a single comma-separated move list.", "Fv1,E>1,F^1,A>1,I^1,J>2,Cv3,K>1,Gv1,A<2,Cv3,Cv1,C<3,D^1,E^1,F^2,A>4" ] }
solve
xoCCxLooJKoLAAJKoLIEEFFFIoooooGGHHHo
17
122
2
true
[ "B<1", "E^1", "J>1", "I>1", "Fv1", "F<1", "Ev2", "A>3", "F^2", "F>1", "H^3", "G<1", "H<1", "I<1", "J<1", "Dv3", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): xoCCxLooJKoLAAJKoLIEEFFFIoooooGGHHHo\nReturn a single comma-separated move list.", "B<1,E^1,J>1,I>1,Fv1,F<1,Ev2,A>3,F^2,F>1,H^3,G<1,H<1,I<1,J<1,Dv3,A>1" ] }
solve
BBoooLooxoKLAAIoKMxHIEEMoHoJFFoGGJoo
17
25,412
2
true
[ "B>2", "D^1", "K<1", "Ev2", "A>2", "F^3", "A<2", "G<2", "I^3", "H>2", "I^2", "J<4", "Gv1", "Gv2", "H>1", "Fv2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBoooLooxoKLAAIoKMxHIEEMoHoJFFoGGJoo\nReturn a single comma-separated move list.", "B>2,D^1,K<1,Ev2,A>2,F^3,A<2,G<2,I^3,H>2,I^2,J<4,Gv1,Gv2,H>1,Fv2,A>4" ] }
solve
BBBKooJooKCCJoAALMJDDDLMEEFFxMooHHII
17
1,491
1
true
[ "A<1", "Cv1", "B>1", "C^1", "H<1", "Dv1", "D<3", "E^1", "F^2", "H>1", "Bv1", "B<1", "F^1", "K<1", "L<1", "Gv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBBKooJooKCCJoAALMJDDDLMEEFFxMooHHII\nReturn a single comma-separated move list.", "A<1,Cv1,B>1,C^1,H<1,Dv1,D<3,E^1,F^2,H>1,Bv1,B<1,F^1,K<1,L<1,Gv1,A>3" ] }
solve
ooJBBLCCJoKLIAAoKLIoDDEEIoooFFGGHHHo
17
1,068
0
false
[ "H<1", "I<1", "J<1", "L>1", "K>1", "Gv1", "A<1", "Bv1", "B<3", "E^1", "F^1", "A>1", "G^1", "K<1", "L<1", "Ev3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): ooJBBLCCJoKLIAAoKLIoDDEEIoooFFGGHHHo\nReturn a single comma-separated move list.", "H<1,I<1,J<1,L>1,K>1,Gv1,A<1,Bv1,B<3,E^1,F^1,A>1,G^1,K<1,L<1,Ev3,A>3" ] }
solve
BBBoIJooHoIJAAHooKCCDDoKGEEoxKGooooo
17
1,042
1
true
[ "Cv1", "Fv1", "Cv1", "B>3", "C^1", "A>1", "G>1", "F>1", "I^4", "A<1", "G<1", "J<1", "Cv3", "C<2", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBBoIJooHoIJAAHooKCCDDoKGEEoxKGooooo\nReturn a single comma-separated move list.", "Cv1,Fv1,Cv1,B>3,C^1,A>1,G>1,F>1,I^4,A<1,G<1,J<1,Cv3,C<2,D^1,E^1,A>4" ] }
solve
EBBoIJEoGoIJFoGAAKFooHoKFooHCCDDDHoo
17
6,057
0
false
[ "Fv2", "A<2", "Dv1", "C>2", "I^2", "K>1", "Gv1", "A<1", "I^3", "A>1", "I^1", "J<3", "Gv2", "Hv1", "K<1", "Fv2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): EBBoIJEoGoIJFoGAAKFooHoKFooHCCDDDHoo\nReturn a single comma-separated move list.", "Fv2,A<2,Dv1,C>2,I^2,K>1,Gv1,A<1,I^3,A>1,I^1,J<3,Gv2,Hv1,K<1,Fv2,A>3" ] }
solve
GooJooGBBJoKAAIooKHoICCKHoxoooEEoxoo
17
309
2
true
[ "E^1", "H>1", "Cv3", "D>2", "E^2", "A>3", "Cv2", "I>1", "Fv1", "Bv2", "C<3", "E^2", "A<2", "F^3", "G<1", "Dv3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): GooJooGBBJoKAAIooKHoICCKHoxoooEEoxoo\nReturn a single comma-separated move list.", "E^1,H>1,Cv3,D>2,E^2,A>3,Cv2,I>1,Fv1,Bv2,C<3,E^2,A<2,F^3,G<1,Dv3,A>3" ] }
solve
oFooIooFBBIJAAGooJCCGoooooHDDDEEHooo
17
3,407
0
false
[ "Cv2", "C>1", "D^1", "E^2", "A>2", "H^1", "J>3", "Hv1", "G>2", "Bv4", "A<2", "F<2", "Bv2", "C<3", "D^2", "E^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): oFooIooFBBIJAAGooJCCGoooooHDDDEEHooo\nReturn a single comma-separated move list.", "Cv2,C>1,D^1,E^2,A>2,H^1,J>3,Hv1,G>2,Bv4,A<2,F<2,Bv2,C<3,D^2,E^2,A>4" ] }
solve
JBBooNJCCooNKoLAANKoLMDDxFFMooGGHHxo
17
195
2
true
[ "C>2", "E>2", "G^2", "A<2", "H^1", "J>3", "Hv1", "A>2", "Cv3", "C<2", "E<2", "A<2", "H^3", "I<1", "J<1", "Ev3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): JBBooNJCCooNKoLAANKoLMDDxFFMooGGHHxo\nReturn a single comma-separated move list.", "C>2,E>2,G^2,A<2,H^1,J>3,Hv1,A>2,Cv3,C<2,E<2,A<2,H^3,I<1,J<1,Ev3,A>3" ] }
solve
HoIBBLHoIKoLHAAKoMxoJDDMooJoEEoFFFGG
17
262
1
true
[ "J<1", "K<1", "L<1", "Gv2", "Ev1", "D>1", "E^1", "A>2", "G^1", "H>1", "I<3", "Gv1", "A<2", "Dv3", "D<1", "E^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): HoIBBLHoIKoLHAAKoMxoJDDMooJoEEoFFFGG\nReturn a single comma-separated move list.", "J<1,K<1,L<1,Gv2,Ev1,D>1,E^1,A>2,G^1,H>1,I<3,Gv1,A<2,Dv3,D<1,E^1,A>3" ] }
solve
HIBBLoHIoKLxHAAKooooJDDMoxJooMFFFGGM
17
3,629
2
true
[ "Ev1", "D>1", "I^1", "K>1", "J>1", "Bv3", "A<1", "H^3", "A>1", "H^1", "I<2", "Ev2", "Ev2", "J<1", "K<1", "Fv1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): HIBBLoHIoKLxHAAKooooJDDMoxJooMFFFGGM\nReturn a single comma-separated move list.", "Ev1,D>1,I^1,K>1,J>1,Bv3,A<1,H^3,A>1,H^1,I<2,Ev2,Ev2,J<1,K<1,Fv1,A>3" ] }
solve
oIBBxooIxKEEAAJKoLHoJooLHFFooLHooGGG
17
8,036
2
true
[ "Dv1", "D<1", "G^1", "I>3", "Fv1", "Fv1", "A>2", "Bv3", "B<1", "A<1", "H^1", "I<1", "J<1", "Dv2", "C>1", "D^2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oIBBxooIxKEEAAJKoLHoJooLHFFooLHooGGG\nReturn a single comma-separated move list.", "Dv1,D<1,G^1,I>3,Fv1,Fv1,A>2,Bv3,B<1,A<1,H^1,I<1,J<1,Dv2,C>1,D^2,A>3" ] }
solve
BBHxooGoHDDLGoAAJLEEoIJooooIKoFFFIKo
17
8,511
1
true
[ "F^1", "A<1", "H>1", "I^1", "K>1", "Ev3", "A<1", "H<1", "Cv2", "D<3", "E^2", "G^2", "H>1", "I^1", "K<1", "Gv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBHxooGoHDDLGoAAJLEEoIJooooIKoFFFIKo\nReturn a single comma-separated move list.", "F^1,A<1,H>1,I^1,K>1,Ev3,A<1,H<1,Cv2,D<3,E^2,G^2,H>1,I^1,K<1,Gv1,A>4" ] }
solve
xCCoJLooHoJLAAHoKLFGDDKoFGoIKoEEEIoo
17
4,158
1
true
[ "Dv3", "Ev1", "Cv1", "B>2", "C^1", "A>2", "F^3", "A<2", "G<1", "J^1", "K>1", "Fv1", "F<1", "Cv3", "C<1", "D^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): xCCoJLooHoJLAAHoKLFGDDKoFGoIKoEEEIoo\nReturn a single comma-separated move list.", "Dv3,Ev1,Cv1,B>2,C^1,A>2,F^3,A<2,G<1,J^1,K>1,Fv1,F<1,Cv3,C<1,D^1,A>4" ] }
solve
BBCCKLooooKLAAooKLHIDDDoHIoJEEoxoJGG
17
3,954
1
true
[ "Ev1", "A>2", "F^2", "G^2", "H<2", "Dv1", "C>2", "B>2", "E^1", "A<1", "I^2", "J<3", "Hv1", "K<2", "Fv2", "Fv2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBCCKLooooKLAAooKLHIDDDoHIoJEEoxoJGG\nReturn a single comma-separated move list.", "Ev1,A>2,F^2,G^2,H<2,Dv1,C>2,B>2,E^1,A<1,I^2,J<3,Hv1,K<2,Fv2,Fv2,A>3" ] }
solve
ooxoooooICCCAAIJoLHDDJoLHEEEKLFFGGKo
17
667
1
true
[ "I^1", "K>1", "J>1", "Fv1", "F<1", "Bv1", "B<3", "D^2", "E^1", "G^3", "I>2", "Fv1", "A>3", "G^1", "I<1", "Ev2", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooxoooooICCCAAIJoLHDDJoLHEEEKLFFGGKo\nReturn a single comma-separated move list.", "I^1,K>1,J>1,Fv1,F<1,Bv1,B<3,D^2,E^1,G^3,I>2,Fv1,A>3,G^1,I<1,Ev2,A>1" ] }
solve
BBKoooJoKCCoJAAoLoDDooLxFFooxMHHIIIM
17
792
2
true
[ "G>1", "H>1", "Dv2", "A<1", "Cv1", "B>3", "C^1", "A>1", "F^3", "A<1", "G<1", "H<1", "Cv3", "C<1", "D<1", "E^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBKoooJoKCCoJAAoLoDDooLxFFooxMHHIIIM\nReturn a single comma-separated move list.", "G>1,H>1,Dv2,A<1,Cv1,B>3,C^1,A>1,F^3,A<1,G<1,H<1,Cv3,C<1,D<1,E^2,A>4" ] }
solve
oJBBCCoJooooAAoKooIDDKEEIxGGLMxoooLM
17
898
2
true
[ "A>1", "E^1", "F^2", "G<1", "H<2", "J^3", "K^3", "J>2", "K>2", "Fv2", "A>1", "Bv1", "B<2", "C<2", "F^1", "G^1", "A>2" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oJBBCCoJooooAAoKooIDDKEEIxGGLMxoooLM\nReturn a single comma-separated move list.", "A>1,E^1,F^2,G<1,H<2,J^3,K^3,J>2,K>2,Fv2,A>1,Bv1,B<2,C<2,F^1,G^1,A>2" ] }
solve
GoBBooGCCCxoAAIJooEEIJooHooJooHFFFoo
17
883
1
true
[ "C<1", "I>2", "Ev2", "A>1", "F>1", "Bv2", "C<1", "E^2", "F>3", "Cv2", "C>1", "D^1", "G^1", "H^1", "I<3", "Ev1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GoBBooGCCCxoAAIJooEEIJooHooJooHFFFoo\nReturn a single comma-separated move list.", "C<1,I>2,Ev2,A>1,F>1,Bv2,C<1,E^2,F>3,Cv2,C>1,D^1,G^1,H^1,I<3,Ev1,A>3" ] }
solve
HBBCCKHooooKAAIoooooIDDxxGGJoLoooJoL
17
1,222
2
true
[ "Ev1", "D>1", "F^1", "G<3", "I^4", "I>2", "Fv2", "A>3", "Bv1", "B<1", "H^3", "A<2", "I<2", "Dv3", "D<1", "F^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): HBBCCKHooooKAAIoooooIDDxxGGJoLoooJoL\nReturn a single comma-separated move list.", "Ev1,D>1,F^1,G<3,I^4,I>2,Fv2,A>3,Bv1,B<1,H^3,A<2,I<2,Dv3,D<1,F^1,A>3" ] }
solve
ooHBBBxoHIoLGAAIoLGooJDDEEoJKooFFFKo
17
8,504
1
true
[ "I>1", "Fv1", "A<1", "Bv1", "B<3", "D^1", "E^1", "K<1", "Gv1", "G<2", "J^4", "H>2", "J^2", "J>3", "Fv2", "Fv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooHBBBxoHIoLGAAIoLGooJDDEEoJKooFFFKo\nReturn a single comma-separated move list.", "I>1,Fv1,A<1,Bv1,B<3,D^1,E^1,K<1,Gv1,G<2,J^4,H>2,J^2,J>3,Fv2,Fv1,A>4" ] }
solve
BBBHooooGHoxAAGoooFoGDDJFEEEIJFoooIo
17
387
1
true
[ "Cv1", "B>3", "C^1", "F<1", "G^1", "I^3", "H>1", "I>2", "Bv3", "B<3", "C^1", "D^1", "A>3", "G^2", "I<1", "Fv1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): BBBHooooGHoxAAGoooFoGDDJFEEEIJFoooIo\nReturn a single comma-separated move list.", "Cv1,B>3,C^1,F<1,G^1,I^3,H>1,I>2,Bv3,B<3,C^1,D^1,A>3,G^2,I<1,Fv1,A>1" ] }
solve
GoHBBKGoHIoKGAAIoooxoIDDEEFFJoooooJo
17
2,415
1
true
[ "Ev1", "D>1", "E^1", "G<2", "J^3", "H>2", "J>2", "Dv3", "I>1", "Bv3", "A<1", "Bv1", "B<4", "C^1", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GoHBBKGoHIoKGAAIoooxoIDDEEFFJoooooJo\nReturn a single comma-separated move list.", "Ev1,D>1,E^1,G<2,J^3,H>2,J>2,Dv3,I>1,Bv3,A<1,Bv1,B<4,C^1,D^1,E^1,A>4" ] }
solve
oJKBBMxJKLoMIAALoNIDDDoNxFFooooGGHHH
17
1,913
2
true
[ "J>2", "K<1", "L<1", "Hv2", "Ev1", "D>1", "E^1", "A>2", "H>2", "Bv3", "Bv3", "A<2", "Bv1", "B<3", "C^1", "D^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oJKBBMxJKLoMIAALoNIDDDoNxFFooooGGHHH\nReturn a single comma-separated move list.", "J>2,K<1,L<1,Hv2,Ev1,D>1,E^1,A>2,H>2,Bv3,Bv3,A<2,Bv1,B<3,C^1,D^1,A>3" ] }
solve
ooJooLBBJooLoIAAoLoIoKCCHxoKEEHFFFGG
17
5,020
1
true
[ "A>1", "Bv2", "C>3", "D^2", "E^2", "A<2", "H^1", "J<1", "Gv1", "G<3", "H^2", "I<1", "K<1", "Dv3", "D>1", "E^2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooJooLBBJooLoIAAoLoIoKCCHxoKEEHFFFGG\nReturn a single comma-separated move list.", "A>1,Bv2,C>3,D^2,E^2,A<2,H^1,J<1,Gv1,G<3,H^2,I<1,K<1,Dv3,D>1,E^2,A>3" ] }
solve
xooJCCGxoJKLGHAAKLGHIooMEEIooMFFFooo
17
19,562
2
true
[ "Ev2", "A>1", "G^3", "A<1", "H^1", "J>3", "Gv1", "K>1", "Ev2", "A<2", "Bv3", "Bv1", "B<3", "C^1", "D^1", "E^2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): xooJCCGxoJKLGHAAKLGHIooMEEIooMFFFooo\nReturn a single comma-separated move list.", "Ev2,A>1,G^3,A<1,H^1,J>3,Gv1,K>1,Ev2,A<2,Bv3,Bv1,B<3,C^1,D^1,E^2,A>4" ] }
solve
oxJoDDoIJEELxIAAoLoIFFoLoooKGGHHHKoo
17
1,486
2
true
[ "C<1", "F^1", "A>1", "G>2", "Bv3", "H^1", "J>2", "Dv2", "D<2", "A<2", "G^2", "H<1", "I<1", "Cv3", "B>1", "D^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oxJoDDoIJEELxIAAoLoIFFoLoooKGGHHHKoo\nReturn a single comma-separated move list.", "C<1,F^1,A>1,G>2,Bv3,H^1,J>2,Dv2,D<2,A<2,G^2,H<1,I<1,Cv3,B>1,D^1,A>3" ] }
solve
IoooBBICCoxNJKLAANJKLEENooxMGGHHHMoo
17
3,263
2
true
[ "C<1", "E^1", "Gv1", "I>1", "J^1", "L>1", "Fv2", "Bv2", "B<3", "D<1", "F^2", "A<2", "H^3", "I<1", "K<1", "Ev3", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): IoooBBICCoxNJKLAANJKLEENooxMGGHHHMoo\nReturn a single comma-separated move list.", "C<1,E^1,Gv1,I>1,J^1,L>1,Fv2,Bv2,B<3,D<1,F^2,A<2,H^3,I<1,K<1,Ev3,A>3" ] }
solve
BBBGIoooFGIoAAFHoooooHooECCHooEDDDoo
17
705
0
false
[ "Dv3", "G^1", "I<1", "Ev1", "Cv1", "B>3", "C^1", "A>1", "E^3", "A<1", "H<1", "Cv3", "A>1", "Bv1", "B<3", "D^1", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): BBBGIoooFGIoAAFHoooooHooECCHooEDDDoo\nReturn a single comma-separated move list.", "Dv3,G^1,I<1,Ev1,Cv1,B>3,C^1,A>1,E^3,A<1,H<1,Cv3,A>1,Bv1,B<3,D^1,A>3" ] }
solve
oxoCCCoooKDDAAoKoLJoxFFLJGGGHHooooII
17
4,014
2
true
[ "B<1", "A>1", "F^1", "H<1", "I<1", "J<1", "Fv2", "F>1", "Cv1", "C<3", "E^1", "F<1", "I^4", "G>1", "I>1", "Ev2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oxoCCCoooKDDAAoKoLJoxFFLJGGGHHooooII\nReturn a single comma-separated move list.", "B<1,A>1,F^1,H<1,I<1,J<1,Fv2,F>1,Cv1,C<3,E^1,F<1,I^4,G>1,I>1,Ev2,A>3" ] }
solve
ooxoCCooIDDKAAIoJKoHooJLoHEEJLoFFGGo
17
4,089
1
true
[ "B<1", "Cv1", "C<1", "D^1", "F^1", "I>1", "Fv1", "A>2", "F^3", "A<2", "G^1", "I<3", "Gv1", "J<1", "K<1", "Fv2", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): ooxoCCooIDDKAAIoJKoHooJLoHEEJLoFFGGo\nReturn a single comma-separated move list.", "B<1,Cv1,C<1,D^1,F^1,I>1,Fv1,A>2,F^3,A<2,G^1,I<3,Gv1,J<1,K<1,Fv2,A>4" ] }
solve
oHJBBBGHJoKxGIAAKooIoooLoIDDDLEEFFoo
17
688
1
true
[ "E^1", "H^1", "I>1", "K>2", "J>2", "Gv1", "A<2", "Dv3", "A>2", "Cv1", "C<2", "E^1", "A>1", "H^1", "I<1", "Gv1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oHJBBBGHJoKxGIAAKooIoooLoIDDDLEEFFoo\nReturn a single comma-separated move list.", "E^1,H^1,I>1,K>2,J>2,Gv1,A<2,Dv3,A>2,Cv1,C<2,E^1,A>1,H^1,I<1,Gv1,A>1" ] }
solve
oBBCCoDDxxMoJAALMoJGGLHHooKIINooKooN
17
1,294
2
true
[ "B<1", "C<1", "E^1", "Fv2", "A<1", "G<1", "J^2", "K<2", "Gv2", "H<1", "L^4", "I>1", "L^2", "L>3", "Gv1", "Gv1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): oBBCCoDDxxMoJAALMoJGGLHHooKIINooKooN\nReturn a single comma-separated move list.", "B<1,C<1,E^1,Fv2,A<1,G<1,J^2,K<2,Gv2,H<1,L^4,I>1,L^2,L>3,Gv1,Gv1,A>4" ] }
solve
FoHBBBFoHooJAAHIoJGCCIoKGooooKDDEEEK
17
73
0
false
[ "F^1", "H>2", "Cv1", "C<1", "F^1", "I^1", "K>1", "Ev2", "A>1", "Bv1", "B<2", "E^1", "A>2", "H^1", "K<1", "Gv1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 0. ('x' are immovable.)\nBoard (row-major): FoHBBBFoHooJAAHIoJGCCIoKGooooKDDEEEK\nReturn a single comma-separated move list.", "F^1,H>2,Cv1,C<1,F^1,I^1,K>1,Ev2,A>1,Bv1,B<2,E^1,A>2,H^1,K<1,Gv1,A>1" ] }
solve
GBBIJoGoHIJxAAHoKLDDDoKLEEoooLoFFFoo
17
10,813
1
true
[ "Dv1", "Gv1", "Dv1", "C>2", "D^1", "A>1", "Gv1", "G>1", "J>1", "Bv3", "A<1", "Bv1", "B<3", "C^1", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): GBBIJoGoHIJxAAHoKLDDDoKLEEoooLoFFFoo\nReturn a single comma-separated move list.", "Dv1,Gv1,Dv1,C>2,D^1,A>1,Gv1,G>1,J>1,Bv3,A<1,Bv1,B<3,C^1,D^1,E^1,A>4" ] }
solve
oBBCCCDDoKoMAAoKLMEEFFLNJGGGoNJHHHxo
17
2,935
1
true
[ "B<1", "C<1", "D>1", "F^1", "A>1", "G^1", "Jv1", "I>2", "H>1", "J^3", "I<1", "K<1", "M<1", "Gv3", "I<2", "Gv2", "A>3" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oBBCCCDDoKoMAAoKLMEEFFLNJGGGoNJHHHxo\nReturn a single comma-separated move list.", "B<1,C<1,D>1,F^1,A>1,G^1,Jv1,I>2,H>1,J^3,I<1,K<1,M<1,Gv3,I<2,Gv2,A>3" ] }
solve
BBCCMNoDDLMNAAJLoooxJLFFooKGGxooKIIo
17
2,180
2
true
[ "Dv1", "Dv1", "C>2", "D<1", "E^1", "H^2", "J^2", "K<3", "L<3", "Iv2", "I<2", "Gv3", "H>2", "Dv3", "D<1", "F^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 2. ('x' are immovable.)\nBoard (row-major): BBCCMNoDDLMNAAJLoooxJLFFooKGGxooKIIo\nReturn a single comma-separated move list.", "Dv1,Dv1,C>2,D<1,E^1,H^2,J^2,K<3,L<3,Iv2,I<2,Gv3,H>2,Dv3,D<1,F^1,A>4" ] }
solve
oooJooHoIJBBHoIAAKooCCoKoxEEELFFGGGL
17
2,263
1
true
[ "C^1", "D^1", "A<3", "G<2", "Cv2", "Cv2", "C<3", "E^2", "F^2", "I^2", "I>1", "Fv1", "A>3", "H^1", "I<1", "Gv1", "A>1" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): oooJooHoIJBBHoIAAKooCCoKoxEEELFFGGGL\nReturn a single comma-separated move list.", "C^1,D^1,A<3,G<2,Cv2,Cv2,C<3,E^2,F^2,I^2,I>1,Fv1,A>3,H^1,I<1,Gv1,A>1" ] }
solve
FGBBJoFGHoJKAAHooKCCIDDLooIoxLoooooo
17
4,721
1
true
[ "Ev1", "D>1", "E^1", "G^1", "A>2", "Iv1", "Jv1", "I>1", "H>2", "Bv3", "Bv3", "A<2", "Bv1", "B<3", "D^1", "E^1", "A>4" ]
{ "role": [ "system", "user", "assistant" ], "content": [ "You are an expert Rush Hour (6×6) solver. Given a board, output ONE optimal solution as comma-separated piece slides (e.g., A>2,B<1,Cv3). Each slide (any distance along axis) counts as one move. Goal: the right end of 'A' reaches the right edge.", "Number of fixed walls: 1. ('x' are immovable.)\nBoard (row-major): FGBBJoFGHoJKAAHooKCCIDDLooIoxLoooooo\nReturn a single comma-separated move list.", "Ev1,D>1,E^1,G^1,A>2,Iv1,Jv1,I>1,H>2,Bv3,Bv3,A<2,Bv1,B<3,D^1,E^1,A>4" ] }
End of preview. Expand in Data Studio
YAML Metadata Warning: empty or missing yaml metadata in repo card (https://huggingface.co/docs/hub/datasets-cards)

Rush Hour 6×6 — All Entries (0/1/2 Walls)

Derived from Michael Fogleman’s full 6×6 database. See: https://www.michaelfogleman.com/rush/

Columns

  • board: 36-char row-major; 'o' empty, 'x' wall (fixed), 'A' primary car, 'B..Z' others (len 2 or 3)
  • moves: minimal #moves (a move = slide any distance along piece axis)
  • cluster_size: states in the cluster (from source)
  • num_walls / has_walls: wall metadata
  • task: "moves" or "solve"
  • solution: optimal move list (when --task solve and found)
  • messages: chat format ready for SFT (Qwen, etc.)

Notes

  • This dataset intentionally includes 0-, 1-, and 2-wall puzzles from the official file.
  • For sequence supervision, use --task solve (heavy for 6×6; prefer --limit).
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Size of downloaded dataset files:
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Size of the auto-converted Parquet files:
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Number of rows:
70,000