Board size: 6x6
Board: ooBCCCooBDoooAADooEEoFFFoGoHHooGoIIo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,Bv3,B<3,C^1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooooBoooooBCAAooBCooDEECooDoooooDoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,E<3,Bv3,Bv3,A>3
</answer>


Board size: 6x6
Board: ooooooAAoBoCooDBoCooDEEEFooGGHFooooH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,D<3,Bv1,Bv1,A>4
</answer>


Board size: 6x6
Board: oBBBoooAAoCoooDDCoEEEoCooFGGGooFooHH
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^1,E>2,F^3,F<1,G<1,Cv2,A>2
</answer>


Board size: 6x6
Board: oooooBooooCBDDDoCEAAoFCEoooFGGoooFHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,F^3,G<1,H<1,Fv2,A>4
</answer>


Board size: 6x6
Board: AAooBooCDDBooCoEEEFoGGGHFIoJJHFIKKKH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,C^1,E<2,Cv1,A>2
</answer>


Board size: 6x6
Board: ooBCooAABCDoEoooDFEGGGDFooHHoFoooIIo
Optimal length (moves): 12
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,F^2,G>2,H<2,Bv4,A>1,E^1,F<3,Bv2,Bv2,Bv2,A>3
</answer>


Board size: 6x6
Board: oooooooooBBBAAooCoooDoCoooDoCoooDoEE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<4,Cv1,Cv1,A>4
</answer>


Board size: 6x6
Board: ooooooooooooAAoBoooCCBoooDoBoooDoEEE
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^2,C>3,D^1,E<3,Bv3,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BBBoCoDDDECoAAoEooFGGEooFoHHIIFooJJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,F^1,H<1,J<3,Ev2,A>3
</answer>


Board size: 6x6
Board: BoCoooBDCEEEoDoooooDooFGooAAFGooooFG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<2,F^2,G^2,A>2
</answer>


Board size: 6x6
Board: ooooBoooooBooAAoBoooCCooooDEEEooDooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C<2,D^4,E<2,Cv3,A>4
</answer>


Board size: 6x6
Board: BBBCCCoDEFFFoDEooGoDEoHGoAAoHGoooIIo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H^1,A>2,Ev1,E<1,H^1,A>1
</answer>


Board size: 6x6
Board: oooBoooooBooAAoBoooooooooCoDDooCoEEE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D>1,E<3,Bv3,A>4
</answer>


Board size: 6x6
Board: ooBBBCoDDDoCoooooCAAoEFoGGoEFooooEFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,D<1,E^3,F^3,A>4
</answer>


Board size: 6x6
Board: oooooooBCoooDBCoooDBCEEEooAAFoooGGFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,C^1,E<2,F^2,A>2
</answer>


Board size: 6x6
Board: AAoBoCDDEBoCooEoFFGHooooGHoIIIGHJJJo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev2,E<3,Bv1,Bv1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBoooooBooAAoBoooooCCCoooDDDooEEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<3,D<3,E<1,Bv3,A>4
</answer>


Board size: 6x6
Board: AAoBCoooDBCoooDoCoEoDoFFEGGoooHHHIII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,C^1,E^2,F<4,Bv1,Bv1,A>4
</answer>


Board size: 6x6
Board: oooooooAAoBoooooBoCDooBoCDoEEECDooFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,E<2,Cv1,A>2
</answer>


Board size: 6x6
Board: oooBooooCBDEAACoDEFGooDEFGoHHooGIIIo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,Ev2,A>2,F^1,H<1,I<1,Dv2,A>2
</answer>


Board size: 6x6
Board: ooAABCDDooBCoEEoFFooooGHooIIGHoJJooH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,F<2,Bv1,Bv1,A>2
</answer>


Board size: 6x6
Board: oBooCooBooCooAAoCoooDoooooDoooooDoEE
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,D^1,E<4,Cv3,Cv1,A>4
</answer>


Board size: 6x6
Board: oooBooAAoBooooooooCoDDDoCEEFFFCooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^3,D<2,Cv2,A>3
</answer>


Board size: 6x6
Board: oBBBCooAAoCoDoEEFFDoGGHHoIooJJoIoKKK
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<2,F<2,G<2,H<2,Dv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooAAoBoooooBoooCDDoooCoooEEEoooFFooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,Cv1,C<1,Bv1,A>2
</answer>


Board size: 6x6
Board: ooooBoCAAoBoCoDoooCoDEEoooDFoooooFoo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,A<1,D^2,E<1,Cv4,D>1,Bv2,A>4
</answer>


Board size: 6x6
Board: AAooBoCCoDBooooDEEoooFFFoGGGooHHoIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<3,Bv1,Bv1,A>4
</answer>


Board size: 6x6
Board: oooBBBoCoooooCDDDEooooFEGoAAFEGoooFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D<1,E^1,F^2,A>2
</answer>


Board size: 6x6
Board: oBBBCDooooCDAAEooDFoEGHHFooGooFoIIIo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,Ev1,G^3,H<1,Ev3,A>4
</answer>


Board size: 6x6
Board: BBBoCooDDDCoAAooEooFoGEooFoGEooooGHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H<3,Ev1,Ev1,A>4
</answer>


Board size: 6x6
Board: oooooooBBBoCAADEoCooDEFooGGEFHooooFH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,Ev1,G<1,Dv1,A>4
</answer>


Board size: 6x6
Board: BoCooDBECFoDBEoFGoooAAGHooooGHoIIJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^2,I<1,J<1,Hv1,A>2
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BCCCoDBAAEoDoooEoDFGHoIIFGHJJooGHoKK
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,A>2,G^2,H^2,J<2,Gv2,H<1,Dv2,A>1
</answer>


Board size: 6x6
Board: oooooBooAAoBoooCCBoDDooooEFFGGoEoooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D>1,E^2,F<1,G<1,Bv2,A>2
</answer>


Board size: 6x6
Board: ooBoooooBoooAABoooCCCooDooEEoDFFoooD
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,D>3,E<2,Bv3,A>3,C^3,D<1,Cv3,A>1
</answer>


Board size: 6x6
Board: oooBooCooBooCDoEEECDoFFFoDGoHIAAGoHI
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,G^3,G<2,H^1,I^1,A>4
</answer>


Board size: 6x6
Board: oAAoBCoDooBCEDoFFCEDoGGGHHIIJJKKoLLL
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,Bv1,G<1,Bv1,A>3
</answer>


Board size: 6x6
Board: oooooBoooooBooAAoBooCoooDoCEEEDoCooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^2,E<1,Bv3,A>1
</answer>


Board size: 6x6
Board: oooooBooAAoBoCDEoBoCDEFFooDoGGooooHH
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,G<3,Ev2,E<1,Bv2,A>1
</answer>


Board size: 6x6
Board: ooBBBooCCCDoAAoEDoFooEooFooEooFoGGGo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,A>1,E^1,G<2,Ev1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooBoooooBooAAoBooCCCoooDoooooDoEEE
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C>1,D^3,D<1,E<2,Bv3,A>2
</answer>


Board size: 6x6
Board: oooBBBoCoDDDoCoooEoooFGEAAoFGEoHHFGo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,C<3,E^1,F^2,G^2,A>4
</answer>


Board size: 6x6
Board: oBooCooBooCoDoAACEDFoGGEDFHIIEoFHJJJ
Optimal length (moves): 11
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,A<2,H^4,A>2,G^1,H<1,I<1,J<2,Dv3,Ev1,A>2
</answer>


Board size: 6x6
Board: oooooBooAAoBCCDEEEooDoFFGGDHHHoooIIo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,F<1,Bv2,A>2
</answer>


Board size: 6x6
Board: oAAooBCDooEBCDFFEGCDooEGooHHoGooIIJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
I<1,J<1,Gv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oBBBooooCCCoooDDDooAAEoooFFEGGHHoEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,C<2,D<2,E^3,A>3
</answer>


Board size: 6x6
Board: AAoBoCooDBoCooDBoCoEDoFFoEooGGHHoIIo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E^2,F<4,Bv1,Bv1,Bv1,A>4
</answer>


Board size: 6x6
Board: ooBooCooBAACooBDDDEFFoooEoGGooEoooHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F>2,G>1,Bv3,C<1,Bv2,A>1
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BCDDDEBCAAoEBCFGGGHHFoooIoFJJJIKKKoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
K>2,Fv1,F<1,Ev2,A>2
</answer>


Board size: 6x6
Board: oooBCDoAABCDoooBCoEooFFFEGGooHEooIIH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^3,F<3,Cv2,Cv2,Cv2,A>3
</answer>


Board size: 6x6
Board: ooBCoDoEBCoDoEAAoDoEooooFoGGGoFHHHII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,H<1,I<1,Dv3,A>2
</answer>


Board size: 6x6
Board: ooAABCoDDoBCoEEFFoGGoHIJKLLHIJKooHIJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,E<1,F<1,Bv1,A>2
</answer>


Board size: 6x6
Board: ooooBooAAoBoooooCCoDDEFGHooEFGHooIIG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<2,I<1,Fv1,Bv2,A>3
</answer>


Board size: 6x6
Board: ooAAoBooCoDBEECoDBFoCGGGFHIIoJFHoKKJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^1,G<1,Cv1,A>1
</answer>


Board size: 6x6
Board: BooCCCBooooDBooooDoAAEFDGGoEFoooooFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<2,D^1,E^2,F^3,A>3
</answer>


Board size: 6x6
Board: oooBooAAoBoooCooDooCEEDooFFFDooGGooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E>2,F<1,Bv4,D<2,Bv2,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooooBBBCCCooAAoDoooEoDooFEoDooFEGG
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,E^1,F^1,G<3,Dv1,Dv1,A>3
</answer>


Board size: 6x6
Board: oBBBCoDDDoCEooAACEoFGGoooFooHHoFIIIo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,H<2,I<1,Cv3,A>2
</answer>


Board size: 6x6
Board: BBBooooAAoCooooDCoEooDFFEooDooEGGGoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,F<3,Cv2,Cv1,A>3
</answer>


Board size: 6x6
Board: oBBBoooCDAAEoCDooEFCDGHHFooGooFooGII
Optimal length (moves): 11
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,Cv1,Cv1,A<2,G^3,H<1,I<1,Dv3,G>1,Cv2,A>3
</answer>


Board size: 6x6
Board: BBBooooooCCCooDEEEFoDGHoFooGHooAAGHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,D<3,G^1,H^1,A>3
</answer>


Board size: 6x6
Board: ooBoooAABCDoooBCDooooEEEooFFooooooGG
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<3,F<2,G<3,Cv3,Cv3,C>3,Bv2,A>4
</answer>


Board size: 6x6
Board: BAAoCoBoooCooDDoCooooEFFoooEoooooEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^3,F<3,Cv1,Cv1,A>3
</answer>


Board size: 6x6
Board: oooBCooAABCoDDooCooooEEEooooFFoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<3,Bv2,F<2,Bv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBBBooooooCDoAAoCDoEEECDooFFGGoHHoII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<2,G<2,H<1,I<2,Cv2,Cv2,A>3
</answer>


Board size: 6x6
Board: oBAACDoBooCDooEEFFGGGHHooooooooooIIo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,F<2,Cv1,Cv1,A>2
</answer>


Board size: 6x6
Board: ooooooooooBooAAoBooCooBooCoDDDoCoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^2,D<2,Cv2,A>2
</answer>


Board size: 6x6
Board: oooBBBooCCCooooooDAAoEoDoooEoDoooEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,C<2,D^2,E^3,A>4
</answer>


Board size: 6x6
Board: oooooBooCooBAACooBooCDDDoEoooooEoFFo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,A>3,C^3,D<1,Cv3,A>1
</answer>


Board size: 6x6
Board: oooooooooooBoooAABCDDooBCEEFFFCooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^2,E<1,F<1,Cv2,A>1
</answer>


Board size: 6x6
Board: oBBBooooCoDoAACoDoEoCFFGEHHHoGEooIIG
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,G^2,H>2,Dv2,A>3,F^2,H<1,Ev2,A>1
</answer>


Board size: 6x6
Board: BAACoDBooCoDoEoCooFEoGGHFoooIHFoJJIH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,E^1,G<2,Cv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BooooCBoAADCooooDCooEoDoooEoFFGGEooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,A<2,E^2,F<4,Bv2,Bv1,Bv1,A>4
</answer>


Board size: 6x6
Board: BoAAoCBDDooCBoEEoCFFGHHHooGoooIIIoJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D>2,E>1,G^2,H<1,Cv1,A>2
</answer>


Board size: 6x6
Board: oooBoooAABoCoooBoCoooooDoEoooDoEooFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,F<1,Dv1,Bv1,A>3
</answer>


Board size: 6x6
Board: ooooBoooooBoooAABCooDooCooDEECoooFFo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,Cv1,C^3,E<1,F<1,Cv3,A>4
</answer>


Board size: 6x6
Board: ooAABoCDooBoCDEEBooDoFGGHHHFIIooJJJo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<2,Fv1,F<2,Bv1,A>2
</answer>


Board size: 6x6
Board: ooooBoooooBoCAAoBoCDooEEoDoFFFoDoooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,E<2,F<2,Bv3,A>2
</answer>


Board size: 6x6
Board: oBoCCCoBooDEFBooDEFGGGoHIoooJHIAAoJH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,E^1,H^1,J^1,A>3
</answer>


Board size: 6x6
Board: AAooBCoDEoBCoDEFFCGooHHHGooIIIGooJJo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev3,E<1,Bv1,G<1,Bv1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: AAooBooCooBooCDDEEFoGHHHFoGoooooGIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,C<2,D<2,Bv1,A>4
</answer>


Board size: 6x6
Board: oooooooAAooBooCCCBoooDEEFFFDGooHHDGo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<2,D^3,E<3,Bv2,Bv1,A>3
</answer>


Board size: 6x6
Board: AABooCDEBooCDEBoFFDEGGGoooHoIIJJHooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,Cv1,G>1,Bv1,A>4
</answer>


Board size: 6x6
Board: ooooooooBCCCooBDDDAABoEooooFEooooFGG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,F^1,G<3,Ev1,Ev1,A>4
</answer>


Board size: 6x6
Board: oooBooAAoBooCDDBoECFFooECoGGGEHHHoII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^1,G<2,Bv2,A>3
</answer>


Board size: 6x6
Board: BAAooCBoDEoCBoDEFFooGoHHoIGJoooIGJKK
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F<1,H<1,Dv3,E>1,Cv1,A>3
</answer>


Board size: 6x6
Board: oooooooooooooooAABoooCoBoDoCoBoDoCEE
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,C^1,D^1,E<3,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oBoooCoBoooCAAoDoCoooDEEoooDoooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<3,Cv3,Cv3,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oAAoBCooooBCooooBDEoFooDEoFoGGEooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,G<1,Dv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oooooooooooBCCCooBooDooBAADoooEEDooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,B>3,C^2,A>3,Bv2,B<1,D^2,A>1
</answer>


Board size: 6x6
Board: oBBBCDEEEoCDooAAFDoGooFooGoHHooGoIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<1,Fv1,I<1,Dv3,A>2
</answer>


Board size: 6x6
Board: oooBBBooooCooDDDCoEAAFCoEooFoGoooFoG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,C^1,D<1,F^3,A>3
</answer>


Board size: 6x6
Board: BBBCoooAACooDooEEoDooFFFDGGoHoIIooHo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,Cv1,B>1,D^2,F<3,Dv1,A>3
</answer>


Board size: 6x6
Board: ooBCDoAABCDooooCDoEEooooooooFFoooGGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,F<3,Bv2,Bv2,A>4
</answer>


Board size: 6x6
Board: ooAAoBCCCDDBEEEFFBooGHHHIIGJJJoKKLLL
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
K<1,Gv1,G<1,Bv1,A>2
</answer>


Board size: 6x6
Board: BBBCoDoAACoDEEoCooFFFoGGoooHHHIIIooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<1,H<3,Dv4,F>1,Cv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBBBoAACoDEEECoDoFoCoooFGGHoooooHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,H^2,H>2,Cv1,A>3
</answer>


Board size: 6x6
Board: oooBBBoCoooooCooooDCEFFFDoEGooDAAGoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D^3,E^2,F<3,G^1,A>3
</answer>


Board size: 6x6
Board: oBBBoCooAAoCDoEFFFDoEoGGDHEIJJoHoIoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,G<1,Cv2,A>2
</answer>


Board size: 6x6
Board: oBAACoDBEoCoDFEGGooFoHHHIoJJJoIKKKoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J>1,Ev2,F<1,Cv1,A>2
</answer>


Board size: 6x6
Board: oBoCCCoBDEooAADEoFoooEoFooGGGFooHHoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,Fv1,G<2,H<1,Ev2,A>4
</answer>


Board size: 6x6
Board: oooooooAAoBoooooBoCooDEECooDooCFFDoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,E<3,Bv2,Bv1,A>3
</answer>


Board size: 6x6
Board: oooooooooBBBAAoCDoooECDoooEoDFooEGGF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,D^1,G<3,Cv1,Cv1,A>4
</answer>


Board size: 6x6
Board: oBBBoooAAooCooDDoCEFFGGGEHHIIIEJJKKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^3,F<1,G<1,Dv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBCooooBCoooooCDDDoAAooEoooFoEoooFoE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Cv3,C<1,E^3,A>1
</answer>


Board size: 6x6
Board: ooooooAABooCooBooCooDDoCooooEEoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<2,Bv1,E<1,Bv1,A>4
</answer>


Board size: 6x6
Board: oooooBooAAoBoooCoBoooCDDoooCoooEEEoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^2,D<3,Bv2,Bv2,A>3
</answer>


Board size: 6x6
Board: ooooBoooooBCAAooBCoDoEFFGDoEooGHHHoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,E^3,F<2,Cv3,A>4
</answer>


Board size: 6x6
Board: BBBCCCoDoooooDoEEEoDooFoAAooFoooooFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Dv2,D<2,F^2,A>2
</answer>


Board size: 6x6
Board: ooBoooooBCCCoooooDoAAooDEoFFoDEooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Bv2,B<1,D^2,A>1
</answer>


Board size: 6x6
Board: ooBCCCooBooDoEEEoDAAooFoGGoHFooooHFo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv3,D>2,Bv4,B<2,C<2,D^3,A>4
</answer>


Board size: 6x6
Board: ooBBBoooCCCoooooDoAAEoDoooEoooooEFFF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>1,C>1,E^3,F<2,Ev2,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oAAoBCoDDDBCooEoFFGoEHHHGoEIIooJJKKK
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<1,Ev1,E<2,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oBooooCBoDDDCoooEooFAAEGHFIIIGHoJJoG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<1,F^1,G^3,I<1,Gv2,A>2
</answer>


Board size: 6x6
Board: oooooBoAAooBoooCCCooDDEEooooooFFFooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,D<1,E<1,Bv2,A>3
</answer>


Board size: 6x6
Board: BooCooBooCDEAAoCDEFoooGEFHIIGoFHoJJJ
Optimal length (moves): 17
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,A>1,F^1,G^1,H^1,I>2,J<3,Cv3,A>1,G^3,A<1,H^2,I<3,Ev2,Ev2,Fv1,A>3
</answer>


Board size: 6x6
Board: BooCCCBooooDBEFFFDGEHHHDGoooIJGAAoIJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,D^1,E^1,H<1,I^1,J^1,A>3
</answer>


Board size: 6x6
Board: BooCCCBoDEooooDEoooAAEFoooGGFooHHIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,B<3,E^1,F^2,A>3
</answer>


Board size: 6x6
Board: oooooooBAACooBoDCEoooDCEoFGGHHoFoooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,F^2,G<2,H<2,Cv1,A>2
</answer>


Board size: 6x6
Board: AAooBooCDoBooCDEEEFoGGGoFooHHHFoIIoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,G>1,Cv2,C<2,Bv1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBAACooBooCoDBooCoDEEoFFDoooGGooooHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<1,F<2,Dv1,A>2
</answer>


Board size: 6x6
Board: oooBoCoooBoCoAABoCooDDooEEEooooFFFoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv3,C<1,F<1,Bv3,A>3
</answer>


Board size: 6x6
Board: oooooooooooBAAoooBoooCoBoooCDDooooEE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^3,D<1,E<1,Cv2,A>4
</answer>


Board size: 6x6
Board: oooooooBCoDooBCoDoEoCFFFEAAGooEooGoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,E^3,F<3,G^2,A>3
</answer>


Board size: 6x6
Board: BBBooCoAADoCoooDECooFDEoooFoGGoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,G<3,Cv2,Cv1,A>3
</answer>


Board size: 6x6
Board: oAAoBoooooBCDoooECDFGHEooFGHEooFGHII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H^1,I<2,Gv1,Bv1,A>3
</answer>


Board size: 6x6
Board: AABoCoDoBoCoDoEFGGooEFooooEoooooooHH
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,Dv1,Dv1,D<4,Bv1,Bv1,A>4
</answer>


Board size: 6x6
Board: oAAoBCDDDoBCoooEBoFFoEGGoooHHHooIIIo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,E^1,G<2,Bv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooooBAAooCBoooDCBEoFDGGEHFDooEHoooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,Fv1,F<3,Bv2,Bv2,Bv1,A>4
</answer>


Board size: 6x6
Board: oBCDDDEBCFFFEAAooGoHooIGoHJJIKoHoLLK
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Cv2,C<1,E<1,G^2,A>1
</answer>


Board size: 6x6
Board: oooBoooooBooCAABoDCooooDCEoooDoEoFFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F<3,Bv3,Cv1,A>3
</answer>


Board size: 6x6
Board: BAACoDBoECoDoFECGGoFEoooooHHHooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<2,Cv3,F<1,Cv1,A>3
</answer>


Board size: 6x6
Board: BoCAADBoCEEDBoCFFFGHHoooGIIIooGoooJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H>2,I>2,Cv3,E<1,Cv1,A>1
</answer>


Board size: 6x6
Board: oAABoCoDEBFCoDEGFCHHEGIIoJJJooooooKK
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<1,Gv2,Bv1,H<1,Bv1,A>3
</answer>


Board size: 6x6
Board: oAAoBCoDEFBCGDEFHHGIIoooGooJJJooooKK
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,I>2,Ev2,Ev2,F<3,Bv1,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: BCCCDoBAAoDEBoooDEoFoGGEHFoIIoHFooJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,G<1,I<1,Dv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooAABoCCooBooooDEEoFoDoooFoDoooFoGGo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G>1,Dv1,D<2,Bv1,A>2
</answer>


Board size: 6x6
Board: oooBBBooCDDDooCEEEFAAGooFooGHoFIIGHo
Optimal length (moves): 18
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,E<3,G^1,H^1,I>3,Fv1,E>3,F^3,A<1,Cv4,A>1,Bv3,B<3,C<3,D<3,F^3,G^2,A>3
</answer>


Board size: 6x6
Board: oooooBoooAABCDEooBCDEoFFGDHIIIGoHoJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^2,F<1,H^2,I<1,Cv2,A>1
</answer>


Board size: 6x6
Board: oBBBoooooCCCooooooDEoFFFDEAAGoDEooGo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>1,E^3,F<2,G^2,A>2
</answer>


Board size: 6x6
Board: ooooooBooooCBAAooCBoDEoCooDEooooDFFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,D^1,F<1,Cv2,A>1
</answer>


Board size: 6x6
Board: ooAABCDDDEBCFGGEBHFooIIHFJJKKKoooLLL
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
I<2,Bv1,Dv1,C>1,E^1,J<1,K<1,Hv1,Bv1,A>2
</answer>


Board size: 6x6
Board: oBBBCDoAAECDooFECGHIFooGHIoJJoHIKKKo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,Gv2,Dv2,I<1,Cv2,A>3
</answer>


Board size: 6x6
Board: BBBooCDoEAACDoEFFFDooGGGoHoooIoHoJJI
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev3,E<1,F<1,Cv2,A>1
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooBooAAoBoooooBoooCDDoEECoooooCooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^3,D<3,Bv2,Bv2,A>4
</answer>


Board size: 6x6
Board: ooBoooooBCCCooooDoAAooDoEFFFDoEooGGG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,B<2,D^2,F>2,Dv2,A>4
</answer>


Board size: 6x6
Board: ooAABCDoooBCDoEEBooFFoGGHHHIIooJJoKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,F<1,G<2,Bv1,A>2
</answer>


Board size: 6x6
Board: oAABoooooBoooCDBooECDFFFEoGGooEHHHoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,E^3,F<3,Cv1,A>3
</answer>


Board size: 6x6
Board: ooBoooooBCCCooDDDooAAEoooooEoooooEoo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D>1,A<1,Bv4,B<3,C<3,D^3,A>4
</answer>


Board size: 6x6
Board: AABCoDooBCEDoFBoEDGFoHHHGFoIIoJJJKKK
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,Bv1,A>3,C^1,H<1,Cv1,A>1
</answer>


Board size: 6x6
Board: ooooooooBooCAABooCooDDoCoEEEFFoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,E<1,F<1,Cv2,A>4
</answer>


Board size: 6x6
Board: oBoCCCoBoooDoBEooDAAEooDooEoFFGGoHHo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^2,A>3,Cv1,C<1,E^1,A>1
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooooBoAAooBoooooBCCoDDDooEFFFGGEHHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,E^3,E<1,F<1,Bv2,A>1
</answer>


Board size: 6x6
Board: ooBCCCooBDDDEEEooFGoAAHFGIooHoGIJJJo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Fv2,H^1,J<1,Hv1,A>2
</answer>


Board size: 6x6
Board: ooBBBooAAooCooDEECoFDGGGoFDoHHoFoooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>1,A>2,D^2,G<1,Dv1,A>1
</answer>


Board size: 6x6
Board: ooBCooAABCooooBCDDoEFFGooEooGHoIIooH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Gv1,F>2,Bv2,Bv2,A>4
</answer>


Board size: 6x6
Board: oooooooooBBBoooCCCooooDoAAooDEooooDE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,C<2,D^2,E^2,A>4
</answer>


Board size: 6x6
Board: BooCCCBoDDDEAAoFoEoooFGGoHIJJooHIKKo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,E^1,J>1,Fv1,A>4
</answer>


Board size: 6x6
Board: BoCoDoBoCoDoBAAoDEoFoGGEoFoooooFoHHH
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,E^2,F^1,G<1,H<2,Dv3,A>2
</answer>


Board size: 6x6
Board: ooooBooAAoBCooDDBCooEooCooEoFFooEooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,D<2,E^2,F<4,Bv2,Bv1,Bv1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: AAoBoooooBCCoDoBEEFDoGGGFoooooFooHHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,F^3,G<3,Cv1,A>3
</answer>


Board size: 6x6
Board: oBBBooAAoCDEFFFCDEGGoCoooooHHoIIooJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv1,H<2,Cv1,A>4
</answer>


Board size: 6x6
Board: ooooooBoooooBCCCoooAADEooooDEooooDoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,C<1,D^3,E^2,A>3
</answer>


Board size: 6x6
Board: ooooooBoooooBCCCooBooDooooEDoFAAEDoF
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,A>1,Bv2,B<1,E^1,A>3
</answer>


Board size: 6x6
Board: ooAABoooooBoCoDEEECoDoooCFFooooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F>2,Dv1,D<2,Bv1,A>2
</answer>


Board size: 6x6
Board: oBoooooBoCCCoBooooDoooEoDAAoEoDoooEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,Bv2,B<2,E^2,A>2
</answer>


Board size: 6x6
Board: BooCCCBDoEEEoDoFGHIooFGHIoAAGJIKKooJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,Dv1,D<2,G^1,H^2,J^2,A>2
</answer>


Board size: 6x6
Board: oAAoBoCDooBoCDooBooDoEEEFFGoooooGHHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,E<2,Cv1,A>2
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BBBCDEAAoCDEoFoCooGFoHHHGoIIoooJJoKK
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Gv1,I>2,J>1,Fv2,F<3,Cv2,Cv2,Cv2,A>4
</answer>


Board size: 6x6
Board: oooBBBCCCDoEoooDFEAAoDFEGHHIIIGooJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,D^1,E^1,F^1,A>4
</answer>


Board size: 6x6
Board: oBAACooBooCoDBoEEEDooFFFGHHIIoGooJJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
I>1,H>1,Bv3,D<2,Bv1,A>2
</answer>


Board size: 6x6
Board: ooooooooooBoooAABoooooBoooCoDDEECooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,C^4,D<2,Cv2,A>4
</answer>


Board size: 6x6
Board: ooooBoooooBoAAooBooooCCCoooDDoooooEE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<2,D<1,E<2,Bv3,A>4
</answer>


Board size: 6x6
Board: oAAooBoCCCoBDEEFFFDGoHHoIGJKKKIoJLLL
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<1,F<1,Cv1,A>3
</answer>


Board size: 6x6
Board: ooooBooAAoBCoooooCDoEEoCDFFGGGDHHoII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,D^2,F<1,G<1,Cv1,A>3
</answer>


Board size: 6x6
Board: oooooBoooooBCAADoBCooDooCooDEEFFoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<3,Bv3,Bv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooBCoAAoBCoooDBCoooDEEFooDooFGGGoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<3,Bv2,Bv2,Bv2,A>3
</answer>


Board size: 6x6
Board: ooooBCooAABCDEFFFoDEoGoooooGHoIIoGHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,D^2,E<1,Cv2,A>2
</answer>


Board size: 6x6
Board: oAAoBCoDDDBCooEEECFFFoGGHoIIIoHooJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,Bv1,G<1,Bv1,A>3
</answer>


Board size: 6x6
Board: AABoooooBoCoDEFFCoDEGoHoDEGoHoooGoHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv1,D<2,Bv1,A>4
</answer>


Board size: 6x6
Board: ooAAoBoooooBCDDEEECooFoGCooFoGoooFoG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,C<1,D<1,Bv1,A>2
</answer>


Board size: 6x6
Board: oBooCooBooCooBAACoooooDDoooEEoooFFFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<2,E<1,F<1,Cv3,A>2
</answer>


Board size: 6x6
Board: ooooooooAAoBCCDooBEoDFFBEGDHHHoGooII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,H<1,Cv1,A>1
</answer>


Board size: 6x6
Board: oBBBCooAAoCDoEEFFDoGGooDoHHIIoJJJKKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,E<1,Cv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBBBooooCooDDDCoooEFooAAEFoooooooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,C^1,D<1,F^3,E>3,F^1,A>4
</answer>


Board size: 6x6
Board: BAAoCDBoEECDBooFCoGooFHHGIIIJJGKKoLL
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,F^1,H<2,Cv1,A>3
</answer>


Board size: 6x6
Board: BoCoooBoCoDoEoAADFEGGGDFooooHHoooIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^2,H<2,I<2,Ev2,A>2
</answer>


Board size: 6x6
Board: BAAooCBoDDoCBooEECFFGHHHIoGJKoIoGJKo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,D>1,G^3,H<1,Dv1,A>1
</answer>


Board size: 6x6
Board: oAAoBCooooBCDoEFFCDGEoHHoGIJoooGIJoo
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,Dv1,D^2,E<3,Bv1,Bv1,H<1,Bv1,A>4
</answer>


Board size: 6x6
Board: ooAABoCDEFBoCDEFGGHDEoIIHJoooKoJoLLK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev2,Ev2,E<2,Bv1,A>2
</answer>


Board size: 6x6
Board: oBoCCCoBoDDDoEEEFoooAAFGoHHoFGoooooG
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Fv1,E>1,H>1,Bv3,B<2,C<2,D<1,F^3,G^3,A>2
</answer>


Board size: 6x6
Board: ooooooooooooooBBBCooDooCAADooCooDooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,B>1,C^2,A>3,Bv2,B<1,D^2,A>1
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: AAooBCooDDBCoooooCoEEFFFGooHooGIIHoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,E<1,F<1,Bv1,A>4
</answer>


Board size: 6x6
Board: oBBBoooooAACDDDooCoooEoCoooEFFoooEoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,E^2,F<3,Cv1,Cv1,A>3
</answer>


Board size: 6x6
Board: oooBBBoooCCCoooooDoooEoDoAAEoFoooEoF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,C<3,D^2,E^2,F^2,A>3
</answer>


Board size: 6x6
Board: BAACooBooCDDBEFGGGoEFooooooHHoIIoJJo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,Ev1,I>1,Bv3,D<3,Bv1,A>3
</answer>


Board size: 6x6
Board: oooBBBoCoooooCoDDDoCEoFoooEGFHAAoGFH
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H^1,A>2,Cv2,C<2,G^1,A>2
</answer>


Board size: 6x6
Board: oAAooBoCCCDBoooEDFGGGEDFoHHIIIJJKKoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<1,I<1,Fv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oooBoCoooBoCoAABoCDEEoFoDoooFoDGGGFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv3,C^1,G<1,Bv3,A>3
</answer>


Board size: 6x6
Board: oBBBCoDEEECoDoAACooFFoooGGHIooooHIJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,H^1,I^1,J<2,Cv3,A>2
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oAABCDooEBCDFoEBGHFIJKGHFIJKGHoIJoLL
Optimal length (moves): 14
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,E^1,I^1,J^1,L<4,Hv1,Bv1,Hv1,Cv1,Hv1,Cv1,Iv1,Bv1,A>4
</answer>


Board size: 6x6
Board: oBBBoCooAADCEEooDFooooDFGoHHHoGoooII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<1,Dv1,I<1,Fv2,Cv2,A>2
</answer>


Board size: 6x6
Board: oooooBCooAABCoDDDBEEEFooGGGFHHoIIIJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D<2,F^1,H<1,Cv2,A>1
</answer>


Board size: 6x6
Board: oooooooooBBBCCCoooooDooEAADooEooDooE
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C>3,D^2,A>3,Bv2,B<1,C<1,E^2,A>1
</answer>


Board size: 6x6
Board: BBBoCoAAooCDooEooDoFEGGoHFooooHooIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv2,F<1,Cv2,A>4
</answer>


Board size: 6x6
Board: ooooBooAAoBoooooBooooCCCDEFFGGDEoHHo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,E^3,E<2,F<2,G<2,Bv2,A>2
</answer>


Board size: 6x6
Board: oooBooCAABooCooDDDCoEoooooEoooFFEooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F>3,Cv2,Cv1,C<3,Bv2,A>3
</answer>


Board size: 6x6
Board: BBBoCDoooECDoAAECDFoooGGFHIIooFHoJJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,G<2,H^1,J<2,Dv3,Dv3,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooBCCCooBoooooooooAAoDEooFFDEooooDEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,B<3,D^3,E^3,A>4
</answer>


Board size: 6x6
Board: oooBoCoAABDCooooDCoooEEEoFoGGooFoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<3,Bv2,Bv2,Bv1,A>3
</answer>


Board size: 6x6
Board: BoCCCoBDDDooooEoooAAEooFoGGHHFIIIoJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D>2,E^1,J<1,Fv1,A>4
</answer>


Board size: 6x6
Board: ooooooBBBCCCoAADEFoooDEFoGGGEFooHHHo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Fv1,G<1,Dv1,H<1,Dv1,A>3
</answer>


Board size: 6x6
Board: ooooBoAAoCBooooCooooDEEFoGDooFoGDooF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,E<3,Bv2,Bv2,Bv1,A>4
</answer>


Board size: 6x6
Board: ooooooBoCCCoBoooDooEEEDFGoooHFGAAoHF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,D^1,F^1,H^1,A>3
</answer>


Board size: 6x6
Board: oBBBoCAAoooCoooDEoFGHDEIFGHDEIFoHJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H^1,J<1,Iv1,Cv2,A>4
</answer>


Board size: 6x6
Board: AAooBoCCCDBooooDBooooDEEoooFFFGGoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<3,Bv1,Bv1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBoCDoEBoCDFEoGCHFAAGoHFooGoIIooJJJo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,G^2,I<2,J<1,Hv2,A>4
</answer>


Board size: 6x6
Board: oBoCoooBoCoooBoDDDooooooAAooEooFFFEo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,E^1,F>1,Bv3,C<2,E^1,A>2
</answer>


Board size: 6x6
Board: BCDoEoBCDoEooCAAFoGoHHFIGJooFIGJKKLL
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,J^1,K<2,L<2,Gv1,A>2
</answer>


Board size: 6x6
Board: BCDDDoBCoEEEBoooooooAAFooGooFooGooFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,C<1,D<2,F^3,A>2
</answer>


Board size: 6x6
Board: oooBBBoooooooCCCooDAAEFoDoGEFoDoGEFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,C<1,E^3,F^3,A>3
</answer>


Board size: 6x6
Board: oooooooooBBBCoooDoCoooDooAAoEFooooEF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,D^2,E^2,F^2,A>3
</answer>


Board size: 6x6
Board: BBBoooooCDEoAACDEoooCooooooFFooGGoHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E^1,G<1,Ev2,A>4
</answer>


Board size: 6x6
Board: oooBCooAABCooooBooooDoooooDEEEoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,D^1,E<3,Bv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooooooooBoooAABoCoDoBoCoDoooooDEEo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,D^1,E<3,Bv2,Bv1,A>4
</answer>


Board size: 6x6
Board: BBBoCooAAoCoooDoCoEFDoooEFoGGGEFoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,F^2,G<2,Cv2,A>2
</answer>


Board size: 6x6
Board: oooooooooAABCoooDBCooEDBCooEFFoooEoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,E^2,F<3,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oooooooooooooooBCooooBCDAAoECDoooEoD
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^2,C^1,D^2,E^2,A>4
</answer>


Board size: 6x6
Board: BBBoooAAoooCoooDoCEoFDGGEoFDHHEIIJJo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E^1,I<1,Fv1,F<3,Cv2,Cv1,A>4
</answer>


Board size: 6x6
Board: BooooCBDAAoCBDEEFFoDGoooHoGIIIHoGJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,D<1,E<1,Cv2,A>2
</answer>


Board size: 6x6
Board: oooooooBoCCCoBAAoDEBoooDEFoooDEFGGHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,F^1,G<1,H<1,Dv1,A>2
</answer>


Board size: 6x6
Board: ooBoooooBooCooBAACoooooCoooDEEoooDFF
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv3,A<2,D^4,E<1,F<1,Cv2,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooBooCooBooCAABDoCoEEDoooFFGGooooooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv3,C^2,D<1,F<1,Bv3,A>4
</answer>


Board size: 6x6
Board: BooooCBoAAoCooDEoCFoDEGGFHDIIIoHoJJo
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,F^1,H^2,I<3,J<2,Gv2,G<1,Cv2,A>1
</answer>


Board size: 6x6
Board: oBBBoCooDoECAADoECoFFoEoGHoIooGHoIJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,Dv2,I^1,J<2,Cv3,Cv2,A>4
</answer>


Board size: 6x6
Board: oBCCCooBooDoAAooDoooooEoFFFoEoooooEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Bv1,B<1,D^1,A>2
</answer>


Board size: 6x6
Board: ooBBBooCDDDooCoEEEFoooGHFoAAGHFoooGH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,C<1,D<2,G^2,H^2,A>2
</answer>


Board size: 6x6
Board: oBBBooCoAADoCoEEDoCFFoGGHHIIIJKKKLLJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,F<1,G<2,Dv1,A>2
</answer>


Board size: 6x6
Board: ooooBooCCCBDooAABDoEEEoooooFFFoGGoHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,F<2,G<1,H<2,Bv3,A>2
</answer>


Board size: 6x6
Board: oBBBooooCDDDooCoooooCooEFGAAoEFGoHHE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,Cv1,C<1,E^2,A>1
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBAACDoBEECDooooCDFGooHoFGIIHoFGooJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,J<2,Hv1,Cv1,A>2
</answer>


Board size: 6x6
Board: ooooooooooBoCAAoBoCDooBooDoooooDEEEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,E<1,Bv2,A>2
</answer>


Board size: 6x6
Board: ooBCoDAABCoDoEECoDFFooGoHIJoGoHIJKKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv2,C<1,Bv2,A>4
</answer>


Board size: 6x6
Board: ooooooBooCCCBoooooAAoDEFoooDEFoooDEF
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,Bv1,B<3,D^3,E^3,F^3,A>3
</answer>


Board size: 6x6
Board: BAAoCDBEEoCDBFGGCoHFoIIIHoJoooHoJKKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,Fv2,H<2,Cv1,A>3
</answer>


Board size: 6x6
Board: oooooBooAACBDDDoCBoooooooEoFGGoEoFHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,F^2,G<1,Bv2,A>2
</answer>


Board size: 6x6
Board: BooCCCBoooDoBAAoDoEooFDoEooFoooooFGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,G<3,Dv2,Dv1,A>3
</answer>


Board size: 6x6
Board: ooBBBooAACoDEEoCoDFFoCGHoIIIGHooooGo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Hv1,Dv1,H<1,Cv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BAACDoBEECDoooooDoFGooHIFGJoHIFoJKKI
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,J^1,K<1,Iv1,Cv1,A>3
</answer>


Board size: 6x6
Board: oooBoooooBCoAAoBCooDooCooDEoooooEFFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F<3,Bv3,Bv2,A>4
</answer>


Board size: 6x6
Board: ooooooooAABoCDooBoCDooBoCEEoFFoooGGo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,E<1,F<2,Cv1,A>2
</answer>


Board size: 6x6
Board: AABoCoDDBoCoooBEEooFFoGGHHIIIoooooJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,I>1,Bv3,D<1,Bv1,A>4
</answer>


Board size: 6x6
Board: ooooooAABoooooBoooCDEEFoCDooFoCoooFo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^3,F>1,Cv3,E<1,Bv2,A>4
</answer>


Board size: 6x6
Board: BCooooBCDDDEoooooEAAFoooooFGGGooFooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,D>1,F^3,G<1,Fv2,A>4
</answer>


Board size: 6x6
Board: oooooooBBBCoooooCDAAEoCDFoEooGFoHHHG
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,G^1,H>1,Ev1,A>3,G^1,H<1,Fv1,A>1
</answer>


Board size: 6x6
Board: oooBoooooBoooAAooCDDEEECooFooCooFGGG
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^2,E>1,F^4,F<1,G<1,Dv3,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooBBBoooooooAAooCooDooCooDooCooDEEFF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,D^1,E<2,F<2,Dv1,A>2
</answer>


Board size: 6x6
Board: oooBCoAAoBCooDoBooEDooooEDFFoGoooooG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,G^2,G>2,Bv2,A>4
</answer>


Board size: 6x6
Board: BBBooCDEEEoCDAAooCDoFoooGHFIIIGHJJKK
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,F^1,H^1,I<1,J<1,K<1,Cv3,A>1
</answer>


Board size: 6x6
Board: oooooooBBBooAACDEoFoCDEGFHIDEGoHIooG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>2,C^2,Dv1,Dv1,A>4
</answer>


Board size: 6x6
Board: BoooCDBAAoCDBEooCooEFFGGoEHHHoIIJJoo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,E^2,F<2,G<2,Ev2,H<1,Dv2,A>2
</answer>


Board size: 6x6
Board: AAooBoooCCBoooooBoDDEFFoooEooooGGooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<2,E^2,F<1,Bv1,A>4
</answer>


Board size: 6x6
Board: oooooBoCDDDBoCoooBAAEoooFGEoooFGEooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,C>1,E^3,A>3,Bv2,C<1,E^2,A>1
</answer>


Board size: 6x6
Board: ooooooooooBoooAABooooCBooooCoooooCDD
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^1,D<3,Bv2,Bv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBBBCCCooDoooAADEooFoDEoGFHHEoGooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,A<2,F^3,H<1,Ev2,A>3
</answer>


Board size: 6x6
Board: AAoBoCDooBECDFFFEoDGHIJooGHIJooGoIJo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv2,E<1,Bv1,A>4
</answer>


Board size: 6x6
Board: ooAABCDDDEBCoFFEGCooHEGoooHoGoooHIII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,F<1,H^1,I<2,Hv1,Bv1,A>2
</answer>


Board size: 6x6
Board: ooBoCoooBoCoDoAACoDoooEEoooooooFFGGo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,F<1,G<1,Cv3,A>2
</answer>


Board size: 6x6
Board: oooooooBBBoooooCCCDAAEoFDooEoFooGGGF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,C<3,E^2,F^3,A>3
</answer>


Board size: 6x6
Board: BCAAoDBCEEoDFGGGHHFoooooFoIIoooJJKKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Fv1,F<1,G<1,Dv1,A>2
</answer>


Board size: 6x6
Board: ooooBooAAoBoooCoBoooCooDooCEEDoFFooD
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^1,E<3,Bv2,Bv1,A>4
</answer>


Board size: 6x6
Board: oAABCDoooBCDoEEEoDoooooooooFGGoooFoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv1,E<1,Bv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBBBooCCCoAAoooDoEFGGDHEFIoDHooIJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,Ev1,E<2,I^1,J<1,Dv1,A>4
</answer>


Board size: 6x6
Board: oooooooooooBooAAoBoCoDDBoCEEFFoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,E<1,F<1,Bv2,A>2
</answer>


Board size: 6x6
Board: BooAACBooDoCBooDEEooFFFoooGGGoooooHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,D^1,E<3,Cv1,Cv1,A>3
</answer>


Board size: 6x6
Board: oooooooooooBCCCoDBEEEFDoooGFDoAAGFoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,F^3,F>3,G^1,A>4
</answer>


Board size: 6x6
Board: BoCoooBoCoDoAAooDEFGGGHEFoooHEFoIIJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,I<1,J<1,Ev1,A>4
</answer>


Board size: 6x6
Board: oooooooooooooooBBBAAoCDEoooCDEoooCDE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,C^3,D^3,E^3,A>4
</answer>


Board size: 6x6
Board: AABCDooEBCDooEBoFoGEooFHGIIJFHGKKJoH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,Bv1,Fv1,Bv1,A>4
</answer>


Board size: 6x6
Board: BoCDDDBECFGoBEoFGoAAoFGHoIIooHoooJJH
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,A>1,Bv1,B<3,F^1,G^1,H^3,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBBBoooCCCDDDooooAAEFooooEFGooHHFG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,C<3,E^2,F^3,A>3
</answer>


Board size: 6x6
Board: ooBBBoooooCDoAAoCDoooEoDFFFEGGoooooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,C^1,E^3,G<1,Ev2,A>3
</answer>


Board size: 6x6
Board: oAABooooCBooooCBoooDoEoooDoEFFoDGGHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,G<1,Ev1,Bv1,A>3
</answer>


Board size: 6x6
Board: oAAooBoooooBoooooBoCDEEEoCDoooooDooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,D^3,E<1,Cv1,A>1
</answer>


Board size: 6x6
Board: oBoooooBCCCoooooooAAoDEFoooDEFGGooEo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,A>2,Bv2,B<1,D^3,E^2,A>2
</answer>


Board size: 6x6
Board: oooBCoAAoBCoooDEEEFoDoooFooGGGFoooHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,D<3,Bv2,Bv2,A>4
</answer>


Board size: 6x6
Board: AAoBoooooBCCDoEFFFDoEGGGDoooHoooooHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv1,D<3,Bv1,A>4
</answer>


Board size: 6x6
Board: oBoooooBooCDEEEoCDoAAFGDHIIFGoHooJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,F^2,J<2,Gv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooBoooooBoooAABooooCDDoooCEEFFoCoo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^3,D<3,E<3,Bv3,Bv3,A>3
</answer>


Board size: 6x6
Board: oooooooooooooBBBoCAAoDECoooDEooFFDEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,C^1,D^3,E^3,A>4
</answer>


Board size: 6x6
Board: ooAABCooooBCooDDBCEFoGGGEFoHooEIIHoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^2,G<2,Bv1,Bv1,A>2
</answer>


Board size: 6x6
Board: oooooBAACooBooCooBooCoooDDDoooooooEE
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D>3,Cv1,A>3,C^1,D<1,Bv2,A>1
</answer>


Board size: 6x6
Board: ooooooBooCCCBooooooooDEFoAADEFGGoDEF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,B<3,D^2,E^2,F^2,A>3
</answer>


Board size: 6x6
Board: BAAooCBoDooCEFDGGGEFHHHIoFJJKIoLLLKI
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,D^1,G<1,Dv1,A>1
</answer>


Board size: 6x6
Board: BoooooBooCCCooooDooooEDFAAoEDFGGoEoF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,B<3,D^1,E^2,F^2,A>4
</answer>


Board size: 6x6
Board: ooooBoCCCoBooDDDBoAAooEooFGGEooFoHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,F^1,H<2,Fv1,A>2
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooooBCoDDDBCEoooBoEFFFAAEoGHoIIIGH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^2,F<2,G^2,H^2,A>4
</answer>


Board size: 6x6
Board: ooBooooCBDDDoCBooooCoooEooAAoEooFFFE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,Bv2,C<1,E^2,A>1
</answer>


Board size: 6x6
Board: oBoCCCDBoEEEDBooFoooAAFooGGoFooooHHH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G>1,Bv2,B<2,D<2,F^2,A>2
</answer>


Board size: 6x6
Board: oooBBBCAADoECooDoEFGoooEFGHIIIFoHooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,H^2,I<1,Dv1,A>3
</answer>


Board size: 6x6
Board: AABooooCBDDooCBoEFGCHHEFGoIIoFooooJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<2,Ev2,G>1,Bv1,A>4
</answer>


Board size: 6x6
Board: oooBBBooCCCooooDDDoAAEoooooEoooooEFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<3,C<2,D<3,E^3,A>3
</answer>


Board size: 6x6
Board: oBCDDDoBCEEEFBooGoFAAoGHFIJJoHoIoKKH
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
K<1,Gv2,A>2,Cv2,C<1,D<1,G^3,A>1
</answer>


Board size: 6x6
Board: oBCCCooBoDoEoAADFEGHIDFEGHIoFoGooJJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,J<3,Dv2,Dv2,Ev1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBBBoCooAAoCDEEEFCDoGGFoDHoIJJoHoIoo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,G<1,I^2,J<1,Cv2,A>2
</answer>


Board size: 6x6
Board: oooooBoooAABoooooBoooCCCooDEEEooDFFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,D<1,E<1,Bv2,A>1
</answer>


Board size: 6x6
Board: ooAAoBooCCoBoooooBooDEEEooDoFoooDoFo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C<2,D^3,E<1,Cv1,A>1
</answer>


Board size: 6x6
Board: oBAACooBoDCooooDEEFFoooGHIIIJGHKKKJG
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F>1,H^2,I<1,Dv2,E<2,Cv1,A>2
</answer>


Board size: 6x6
Board: ooooBoAAooBCooooBCDEFFooDEGoHHDEGIII
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Cv1,D^3,E^3,F<2,G^2,H<2,Dv2,A>2
</answer>


Board size: 6x6
Board: ooooooBCooooBCoDDDBooEooAAoEoooooEFF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,A>1,Cv2,C<3,E^2,A>3
</answer>


Board size: 6x6
Board: oAAoBoooCDBoooCDEEFGCHHoFGoIIIFGoooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,C^1,D<3,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: BoooCoBoooCoAADoCoooDoooooooEEoooFFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<2,F<2,Dv3,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooooBCooooBCoDDDoCooEFooooEFAAooEF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,Cv2,C<2,E^1,F^1,A>2
</answer>


Board size: 6x6
Board: BoAAoCBDDDoCBooEEFoooooFoooooFoGGHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<1,H<1,Fv1,Cv1,A>2
</answer>


Board size: 6x6
Board: oooooooAABCDoooBCDoooBEEooooooooFFoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,E<3,Bv2,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oooooooBoCoooBoCoooBDDDEAAooFEooooFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^1,D<1,E^1,F^2,A>4
</answer>


Board size: 6x6
Board: BCDDDEBCoAAEoCFooEGGFHHHoooIIIJJooKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,H<1,I<1,Ev2,A>1
</answer>


Board size: 6x6
Board: oooBCooAABCDoooooDoooEEDoFFGGGoooooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,Bv2,Bv2,F<1,G<1,Bv1,A>3
</answer>


Board size: 6x6
Board: oBBBCoooDoCoooDoooooEFooooEFooAAEooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,B>2,C^1,E^1,A>4
</answer>


Board size: 6x6
Board: ooooooBBBooooooooooooCCCAADEooooDEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>3,D^3,D<3,E^2,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oBAAoCoBoooCDEEEFFDooooGooHHHGoIIooG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E<1,F<1,Dv1,A>2
</answer>


Board size: 6x6
Board: BBBoCoDoAACEDoFFoEGHoIIIGHJKKKGHJooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,B>2,H^3,I<2,Ev1,Ev1,A>2
</answer>


Board size: 6x6
Board: oAAoBCDDDoBCoEoFFCGEooHHGEoIIIGoJJKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,Bv1,H<1,Bv1,A>3
</answer>


Board size: 6x6
Board: oooBoooooBoooAABCoDoooCoDoooCoDoEEEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<2,Bv3,Cv1,A>3
</answer>


Board size: 6x6
Board: oooBBBoooooooooooCooDDDCooEooCAAEooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,C^2,D>1,E^1,A>4
</answer>


Board size: 6x6
Board: ooooBoooooBoooAABooCDEEEoCDooooCoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^3,Dv1,D<2,Cv3,A>2
</answer>


Board size: 6x6
Board: ooAABCoDDoBCEEEoBCooFFGoHIooGoHIoJJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,I^1,J<2,Hv1,Bv1,A>2
</answer>


Board size: 6x6
Board: oAAoBooCCDBooEoDFooEGDFooHGoFooHGoII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,I<2,Gv1,Bv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BBBoCoooooCoAAooCoDEEFooDoGFooDoGFHH
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>1,A>1,D^3,E<1,F^1,G^1,H<3,Dv3,Dv1,A>3
</answer>


Board size: 6x6
Board: BBBooCDooAACDEoooFoEGooFooGHIIJJoHKK
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H^2,I<1,K<1,Gv2,Cv2,A>1
</answer>


Board size: 6x6
Board: ooBBBooooCCCoooDDDAAEFooGoEFoHGooFoH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,C<3,D<3,Ev1,E^3,A>4
</answer>


Board size: 6x6
Board: oAAooBoooooBCooooBCooDEECooDooFFFDoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,E<3,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: ooooBoCAAoBoCoDDooCEFFFooEoGGGoEHHII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,E^3,F<1,Cv2,A>2
</answer>


Board size: 6x6
Board: BooooCBAAooCDooEEEDoFGHHDIFGoooIFooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,Gv1,G<1,Cv2,A>3
</answer>


Board size: 6x6
Board: oBBBoooooCooAAoCooDooCooDoEEEoDooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,E<2,Dv2,A>3
</answer>


Board size: 6x6
Board: oAABoCoooBoCDooooCDEFGGGDEFooooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,F^2,G<1,Bv1,A>3
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BBBoCDAAooCDoooooooEFFFooEoooooEoooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,B>2,Cv2,A>2,E^3,F<1,Dv1,A>2
</answer>


Board size: 6x6
Board: BoAACDBoooCDBEooCDFEoGGGFooHHHFIIooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,G<2,Cv1,Cv1,A>2
</answer>


Board size: 6x6
Board: ooooBoooooBoooAABoooCCoooDoEoooDoEFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,E^1,F<2,Bv3,A>2
</answer>


Board size: 6x6
Board: BoooCDBAAoCDoooEEEoooFFFoooooooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,F<2,Cv2,Cv2,A>3
</answer>


Board size: 6x6
Board: oooBoCAAoBoCoooooCooooooooDDEEoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,D<1,E<1,Bv2,A>4
</answer>


Board size: 6x6
Board: oBBBCoAAooCoooooCoooDooooEDoFFoEDooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^2,E^2,F<4,Cv2,Cv1,A>4
</answer>


Board size: 6x6
Board: BBBooooooAACoooDDCEFFGGCEHHHIIEoooJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^2,H<1,I<1,Dv1,A>1
</answer>


Board size: 6x6
Board: oBBBCoooDoCoooDEooAADEooooFFFoooGGoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,B>2,C^1,E^1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oooBoooAABCooooDCoEooDFFEooooGooHHHG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<2,Dv2,E<3,Bv2,Bv1,A>3
</answer>


Board size: 6x6
Board: oBoooCoBAAoCoBDDEEooFGGGooFoooooFooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv3,A>1,C<2,D<1,F^3,G<1,Cv2,A>1
</answer>


Board size: 6x6
Board: ooAAoBCCoDoBooEDFFoGEHoIoGoHJIKKKHJI
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,D^1,Ev1,E<3,Bv1,Bv1,A>3
</answer>


Board size: 6x6
Board: oAABoCooDBoCooDooCEFDGGGEFHIIIoFHJJo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,A>2,C^1,G<1,Cv1,A>1
</answer>


Board size: 6x6
Board: oBBBCoooAACooDooEEoDooFooDGGFooooHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,H<2,Fv1,Cv2,A>2
</answer>


Board size: 6x6
Board: ooooooooooooBCCCooBooDDDEAAFooEooFoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B^2,C<1,D<3,F^2,A>3
</answer>


Board size: 6x6
Board: ooBBBoCCCDoEAAoDoEFFGDoEooGoHHoooIII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H<4,Fv1,I<3,Dv2,Dv2,A>4
</answer>


Board size: 6x6
Board: ooooooBBBCCCAAoooDoooooDooEFFFooEooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>3,E^2,F<1,Ev1,A>1
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: oAAoBooCDDBooCooBooCoEEEFFooGGoooHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,C^1,E<2,Cv1,A>2
</answer>


Board size: 6x6
Board: BooCCCBoAADoBEEEDoFFGoHIooGoHIooGoJJ
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<2,D^1,E>2,G^1,J<4,Ev1,E<2,Hv1,Dv2,A>2
</answer>


Board size: 6x6
Board: oooBCooAABCoooooooooDDEEoFoooooFooGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<2,Bv4,D<2,Bv2,A>3
</answer>


Board size: 6x6
Board: ooBCCCAABoDooEFFDoGEoooHGEIIJHGoooJH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv1,D<2,Bv2,A>4
</answer>


Board size: 6x6
Board: oAAooBooCooBDDCEEEooCFFFoooooooGGooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<1,Cv2,D<1,Bv1,A>3
</answer>


Board size: 6x6
Board: oAABCooooBCoDooBooDooEEEDoooFFooooGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,D^2,E<3,Cv1,A>3
</answer>


Board size: 6x6
Board: ooooBoooooBooAACBooooCooDDoooooEEoFF
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^2,E<1,F<2,Cv3,A>3
</answer>


Board size: 6x6
Board: BBBCoDoooCoDAAECoDooEoooFoGGHoFoIIHo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv3,G<1,I<1,Cv3,B>3,C^2,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: BBBCoDoooCEDoAACEooooFFFooGGoooHHHII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F<3,G<1,H<1,Cv3,A>3
</answer>


Board size: 6x6
Board: oBoooooBoAACDBoooCDEEEFFGHHIIoGooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<1,F<1,Dv1,A>1
</answer>


Board size: 6x6
Board: ooooooBBBCCCoDAAoEFDoGGEFHHHoEFIIIJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,I<1,J<1,Fv1,A>2
</answer>


Board size: 6x6
Board: ooBCCCooBDooooBDooooAAoEFooooEFooooE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,Bv1,B<1,E^3,A>1
</answer>


Board size: 6x6
Board: ooAABCoDEoBCoDEoFFoDoGGooHoIIIoHooJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev2,E<2,Bv1,Bv1,A>2
</answer>


Board size: 6x6
Board: AAooBCoDEoBCoDEFFFGHEoIIGHJJooGHoKKo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>2,D^1,J>1,Ev2,E<2,Cv1,Cv1,A>2
</answer>


Board size: 6x6
Board: ooooBoooooBoAAooBoCCDooooEDooooEDFFo
Optimal length (moves): 12
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^3,D>3,Bv3,A>2,E^4,A<2,D^3,E<3,F<3,Cv3,Cv3,A>4
</answer>


Board size: 6x6
Board: ooBBBoooooooAAoooCooDDDCoooEoCFFFEGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<2,E^1,G<1,Cv1,A>4
</answer>


You are an expert Rush Hour (6×6) solver.

Input: 36-char row-major board; 'o' empty, 'A' red 2-long horizontal, others B..Z (len 2/3; H/V).
Output exactly ONE optimal solution wrapped in tags:
<think>
(brief internal reasoning)
</think>
<answer>
comma,separated,move,list
</answer>
Token format: <PIECE><DIR><STEPS> (A>2,B<1,Cv3). One move = slide any positive distance along axis.
Goal: right end of 'A' reaches the right edge.

Board size: 6x6
Board: ooooBCoAAoBCDDDooCooEEFFGGGoHHoIIIoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,F<2,Bv2,H<1,Bv2,A>3
</answer>


Board size: 6x6
Board: AABCooooBCoooDEoooFDEGGGFoEHHHFIIoJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,F^1,I<1,Fv1,Bv1,A>4
</answer>