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

<think>
Shortest path found.
</think>
<answer>
A>2,D^2,E<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: BBBoCoAAoDCoEEoDFFGHHIIoGJJJoooooKKK
Optimal length (moves): 11
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,F<2,Gv1,G<1,H<1,K<2,Dv4,E>2,G>2,Cv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^1,H^1,I<3,Cv3,D>1,Gv1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<3,Cv1,C<3,E^2,Fv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E^1,A<2,H^3,I<1,Gv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,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: ooBoooAABCDooEECDoFGooHHFGIIJKFGooJK
Optimal length (moves): 15
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,E>3,Bv2,Bv2,A>2,F^2,G^2,I<2,Ev2,Ev2,E<2,F<2,Bv2,A>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,E<3,Bv2,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,J<1,Fv1,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: oooooBoCCCDBoAAoDooEFoDooEFooooEoGGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,G<2,Cv2,A>1,D^3,A<1,E^3,F<3,Cv3,Cv3,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I<2,Dv1,Fv2,Cv2,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: ooBAACooBooCoDEooCoDEFGGoooFHHoooFoo
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,Dv1,D^2,G<1,Cv2,H<1,Ev2,Cv2,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,B<2,C<2,F^2,Gv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G>1,Cv2,C<1,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: ooooBooCCCBooAADBEFooDoEFGGDoHooIIIH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^2,I<2,Bv3,Dv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<1,Fv1,E>1,F^1,A>3,Ev1,E<1,G^2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<2,Bv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,Cv3,D>1,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: BBBooCoDDDoCoAAooCEoFGooEoFGoooooGHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H<3,Cv3,Dv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G>1,Dv2,D<2,Cv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F>1,G^2,H<1,I<2,Fv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,Dv1,F^2,G<3,Bv2,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,C^1,D^1,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: oBoooCDBAAoCDEoFFFoEGHHHoEGIJoKKKIJo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^3,D>2,Bv2,A>3,C^2,D<1,Cv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,H^1,I<3,Hv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,F<1,Dv2,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,E^1,G<1,Cv2,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: AABoCDEoBoCDEoBFGGEHoFoIoHoooIoHJJJo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Fv1,J>1,Bv3,E<2,Bv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Fv1,I<3,Bv3,E<2,Bv1,A>3
</answer>


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

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


Board size: 6x6
Board: ooooBoooAABooooCDDEFFCGGEooCHHooIIIo
Optimal length (moves): 13
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,E^2,F<1,I<2,Dv1,D<3,F^3,G<2,H<3,Cv4,F>2,Bv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,H^1,K<1,Dv3,F>1,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,L<1,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: oooooBoooAABoooooBCCDDDoooEFFFooEooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,I^1,J>3,Gv1,A>3,H^1,J<1,Hv1,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D>1,Bv3,C<3,Bv2,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^2,E<4,Bv2,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: oooBoooAABCoDDoBCoEEooCoFoGHHoFoGooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,Dv1,D<1,Cv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F>2,A<1,H<1,Dv3,D<3,E<3,G^4,E>3,F>3,G^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: ooBCCCooBoDoEEEoDoAAooDooooFFoGGoooo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<3,Dv2,D>3,Bv4,B<2,C<2,D^3,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,Cv4,D>1,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G^1,I<4,Cv3,Dv2,Dv1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Dv1,H^1,J<1,Gv2,Cv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,H^3,H<2,I<2,J<2,Ev3,G>2,Cv1,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: AAoBCoDDoBCooooBEoFGooEoFGHHHIFoJJJI
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,G^1,H<1,Fv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,J<2,Gv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B>2,C^1,F^1,J<1,Gv1,G<2,Dv1,Dv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,G^3,H<1,I<1,J<1,Dv3,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: oooBBBoooooCooAAoCDoooECDFFoEoDGGGHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
J<2,Fv1,F<2,Cv1,A>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D>1,E^1,J<1,Fv1,F<1,Bv1,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: oooBCoAAoBCoDoEFCoDGEFooHGEoooHGoIII
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,A>1,C^1,G^1,H^1,I<3,Fv2,Bv2,A>3
</answer>


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

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


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

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


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

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


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

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


Board size: 6x6
Board: oooooooBoCCCoBoooDoBEooDAAEooDFFEooo
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>


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

<think>
Shortest path found.
</think>
<answer>
Bv2,Cv1,B>3,C^1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F^1,G<2,Fv1,Bv1,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: ooooBooAACBoDooCBoDooEEoFoooGGFooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,Cv1,G<2,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D<1,Bv2,Fv1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^2,E^1,G<3,Dv1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,Fv2,G<1,Cv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,E^1,J<1,Fv1,F<1,Cv1,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: oooAABooooCBDEEECBDoFGHHDIFGoooIoGoo
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,Dv1,D<1,Fv1,F^3,G<3,Bv1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,A<1,H^3,J>2,Ev2,Ev2,E<3,Bv2,Bv2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^1,H<1,Ev1,Bv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,D>1,E^2,G^2,A>3,Fv2,Cv2,D<1,F^2,H^2,A>1
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,H<3,Ev2,Ev1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C<2,D^3,E^2,Fv1,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: oBoooooBCCCoooooDooooEDooAAEDooFFoGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,G<2,Fv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,F<1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B>1,E^2,G<1,H<1,I<1,Dv3,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: ooBBBooooCoDoAACoDEEoooDooFoooooFGGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B>1,D^1,E<1,F^2,G<3,J^2,K<1,Dv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Fv1,F>1,Cv3,E<3,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,Ev2,Ev2,I>1,Ev1,E<4,Bv2,Bv2,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,E^1,J<1,Bv3,D<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^2,E^2,F^2,G<4,Cv2,Cv2,Cv2,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: BoooCoBoAACoBoDoCooEDFFoGEHHHoGEoIII
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,G<2,Fv1,Bv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<3,Cv1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,F>1,G<1,H<2,Cv4,E<2,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G^2,H<4,Ev2,Ev2,Ev1,I<1,Cv3,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^1,I<1,Hv1,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,I<3,Gv1,Dv1,A>3
</answer>


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

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


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

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


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

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


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

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


Board size: 6x6
Board: ooBBBCooooDCAAooDCEoooDoEoFFGGEoooHH
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,H<2,Cv3,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: ooooBoAAooBCDEEoBCDFGGoooFoHHHoIIIoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,H^2,I<2,J<2,Dv2,Dv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,Cv1,C<2,Bv2,A>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B^1,C<3,E^2,F^2,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: BBBCCCoAADEoooFDEoGHFDEoGHoIIIJJKKKo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,H<3,Dv2,Dv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,C^2,G>3,Ev1,E<2,Cv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,Cv1,J<2,Gv1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<2,D^1,F^2,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: oBBBCoDoAACoDEooFFoEoGGGoEoHHHIIIoJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<2,Cv1,B>1,E^2,G<2,Ev1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,E^1,F^2,G<4,Bv1,Bv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<2,Ev1,I<1,Bv3,D<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,E<2,Dv1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E>1,G^2,H<1,I<1,Cv1,J<1,K<1,Gv1,Cv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D<1,E<2,Bv2,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: ooooBoooooBCoAAoBCDooEECDooFooDooFGG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,F^1,G<2,Bv3,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,F<2,Dv2,Dv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D>3,Bv4,C<1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F<1,G<1,Dv1,Bv1,A>4
</answer>


Board size: 6x6
Board: oooooooooBBBoooooooAACDEoooCDEoFFCDE
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>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H^1,I^1,K<3,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: ooBBBooooooCoAAoDCooEoDCFFEGHHooEGoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,D^2,G^4,H<1,Ev2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv2,E<1,H^1,J<1,Cv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<1,D<3,G^3,H<1,I<3,Dv4,G>1,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^3,A<1,Cv4,C<2,D^3,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv2,A>3,D^2,F<1,Cv3,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,Cv1,C<1,F^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: oooBoooooBoooooCCCAAoDoEoooDoEFFFGGE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^1,I<1,J<1,Ev2,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E>1,Bv3,D<3,Bv1,A>4
</answer>


Board size: 6x6
Board: oooBBBAACDooooCDEoFGHHEoFGIooJFGIKKJ
Optimal length (moves): 13
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,G^1,H>1,I^1,K<3,Hv1,H<1,Ev3,G>2,Cv1,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: oAABoCDooBoCDEEEoFGooooFGoooHFGIIoHo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E<1,Cv1,Fv1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
H<1,I<1,Ev1,Bv1,A>1
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,D^4,C>3,D^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: ooooBoooooBoAAooBoooCoDDooCoEEoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
J^1,K<1,Jv1,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^2,D^2,H<1,Ev1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,Bv1,I<1,Fv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,D^1,F<3,Bv1,Bv1,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: oooBoCAAoBoCDoooooDEoFFFDEGHHHooGooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,Ev1,E<3,Cv2,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,Gv1,Cv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E^2,F^2,G<2,H<3,Dv2,E<1,Bv1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,H^1,K<1,Gv1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,G^3,G>1,Bv2,A>2,E^2,F^2,H<2,Ev2,F<1,Bv2,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^2,D<3,G^1,H^1,I^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: ooAABCoDEEBCoDooBCFDoGGGFoHoIIooHJJo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Gv1,Cv1,I<1,Fv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,D>1,E<2,Bv2,A>3,C^2,D<1,Cv2,A>1
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,Bv2,B<2,D<1,F^2,G^2,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: oooooooBCCCooBooDooBooDoAAooDoooooEE
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: AAoBoCDooBoCDoEEECDoooFFooGGGooooooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,D<2,Bv1,F<1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,D>1,Bv4,B<1,C<1,D^3,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,D<2,E<2,Bv2,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: oooBCDoAABCDooEEoDFooGGGFHoIIoFHoJJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<2,D<2,Ev1,E<2,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,K>2,Gv1,G<1,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
B>3,D^2,A>3,Bv1,B<1,D^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: oAAoBoCoooBoCDDEEFoGHHHFoGooIIoGoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,F^3,G<3,Cv2,Dv1,H<1,I<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: BCCCDoBAAoDoooooDooEoFFooEGHHHoEGooo
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A>1,F<1,Dv1,C>1,E^3,F<2,G^2,H<2,Ev1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
L>1,Gv2,I<1,Cv1,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<3,C^1,F<2,Dv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,G<3,Dv1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Ev1,E<1,F<1,Bv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^2,D<3,E<3,Bv3,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: ooooBoCDDDBoCAAoBoCoEEEoFFooGGoooHHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,G<2,H<1,Bv3,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
H<3,Ev2,E<2,Bv1,Bv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D<1,Cv3,D^3,D>3,Bv2,A>3,C^2,D<1,Cv2,A>1
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,E<2,G<1,H^2,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: oooBoCoAABDCEEEoDoooFFFoooooGGoHHHoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,F<2,Bv2,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,G^1,H<3,Ev2,Ev1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<1,D<2,H^1,I<1,Hv1,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,F^2,G<3,Ev2,E<2,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Fv1,Fv1,F<2,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,Bv1,B<1,D^1,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: BooCCCBooDEoBAADEooFFFoGHIJJoGHIoKKK
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,I<2,Ev2,E<2,F<2,Dv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,A<1,E^1,F^3,G<1,H<2,Cv3,F>1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<2,F^2,H>1,Dv3,G<1,Cv2,K<1,Hv1,Cv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,D^2,E<3,Dv1,F<1,Cv3,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^2,E^3,F>3,G>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: BoooooBCDDDoBCooEooCooEooAAoEooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,D^1,I<1,Fv1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>1,A>2,E^3,F<2,Dv2,Dv1,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: ooooBoooooBoooAABooCooDDoCoooEoCFFFE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,J<1,Hv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,E>2,Bv1,A>3,D^1,E<1,Cv1,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: oBBBCoAADoCooEDFFFGEDooHGEoIIHGooooH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,Dv1,D<2,Cv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<1,J>1,Gv1,F>2,Bv3,E<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,H<1,Fv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,Cv1,G<1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv2,E^2,F<3,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C<2,D<1,E<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: ooBCCCooBoooooDoooAADEooFFoEoooooEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,E>2,Bv4,B<1,D<1,E^3,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<1,F^1,Gv1,G<2,Bv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,Ev1,D>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: oBBBCooAADCEoooDoEFoGDooFoGHHHFoIIJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,Dv1,F^2,G^1,H<3,Dv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,J<1,K<1,Hv1,Cv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F^1,H<1,I<3,Fv2,F<1,Dv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,C^1,Ev1,D>3,E^3,E<3,F^2,G^2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv3,Cv2,Cv1,C<3,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,C>1,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: BoooooBoAAoCBooooCDEFGGCDEFHHHDoFooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBooooooooAACDEoooCDEooFFoooGGHHH
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>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<1,D^1,I<1,Dv3,A>3
</answer>


Board size: 6x6
Board: ooooBooAAoBoooooBoCDDEEoCoooooCFFooo
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>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>2,A<2,F^3,G<2,Dv3,F>2,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
B>1,D^1,A>1,E^3,F<1,H^3,G>3,H^1,I<4,Gv1,G<3,Dv3,Ev2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<2,Cv1,C<2,E^3,F^3,G>2,Fv1,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: ooBBBoAAooCDoooECDoFFEGHIooEGHIooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Gv1,Cv1,Gv1,Cv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,Cv1,G<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: oBBBooooCoooAACoDEooooDEoFFFDEooooGG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B>2,C^1,G<2,Dv1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<2,D^1,F<1,H<1,Cv3,E>1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<2,E<2,Bv2,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,I^2,J<1,Dv3,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: oAAoBCDDooBCoEEEBoFoooGHFoooGHFoIIIH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,I<1,Gv1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^3,D<2,Cv4,C>2,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,D^1,F>1,G>1,Dv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B^1,D<1,F^3,G<1,Dv3,F>1,Cv2,A>3
</answer>