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: ooBBBoooooooooooooooCDooooCDooAACDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBooCDoBooCDoAAoEDooFFEoooooEoGGHHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv3,Dv1,A>3
</answer>


Board size: 6x6
Board: ooooooBoooooBooooCoAADoCoooDoCoooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBooAAoBooCCoBDEooFFDEooooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBoooooBooCCCoAAooDoEFGGDoEFooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoooooBoCCCooooooooooDooAAoDoooooDoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooooBoooAABooooCCCoooooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooooCCCoDAAoooDEEEooDoooFoooooFGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^1,G<1,Dv2,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: oBoooCoBoooCoBooDoAAoEDooooEFFoooGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooAAoBoooCCBoooooBoooooDDoEEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABoCoooBDCooEBDCoFEoDooFoGGoHFIIIoH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBoAAoCoooooCoooooCooooDDooEEFFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoCoooBoCoooooCooooooDEooAADEooooDEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooAABoooooBoCooDDECFoooECFoooEoF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBCCCDDBEoooFFEGHIooEGHIJJoGoIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBCDoAABCDoooBoDooooooooooooooooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,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: BoooooBCoooooCAADooCEEDoFoooDoFoooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoAAooBoooooBooooooCoooDDCoooooC
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: BCCCoDBooooDoooAADEEoFFFoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,Dv3,A>1
</answer>


Board size: 6x6
Board: ooooooooBBBoooooooooCoDoAACoDoEEEoDo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBoooCoBAAoCoBoDoooooDooooEEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAABoooooBooooCCCoDDDEooFFoEGooHHEG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAoBCoooDBCoEoDBFoEoDoFGHHooFGooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooooBoooooBooooCooDooCEoDAAoEoD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABoooCCBoooooBDDDEEEoooFoooooFooGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E>3,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: oooooooooooBoooooBAACooBooCDooooCDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoooCoBoAACDBooooDoEoooooEoooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBoCCDDBoooEEEoFoGGooFoHHHooIIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBooooCoooAACoooooooDooEEoDooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooooBooAAoBooooCCCooDDDoEoooooE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBCCCoDBoEEEDBFoooooFAAGoooooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBCooAABCooooBCoooDDoooooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooAAoooBoCCCoBoooooBooooDDooooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: ooooooooooooBooCCCBoAAoDBoEFoDooEFoD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoooooBCDooooCDAAoEoDoooEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoooCoBoooCDBAAoCDoEFFoDoEoooooEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv3,Cv2,A>3
</answer>


Board size: 6x6
Board: oAABoooooBCCDDDBEEoooFFFGHIJJJGHIKKK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoCCCoDEEEooDoAAooDoooooFoooooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooBooCAABooCooBooCoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoooooooooCCCooooooooAADoooooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBooAAoBoooooBooooCCCoDoooooDoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oBoooooBCDoooBCDoooooEoooAAEooFFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAooBoCCooBDEoFFFDEGHHHDEGoooooGIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooooBoCoooooCDooooCDooooEDAAooEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBCoDDDECooAAEoooooFGGoHHFIoJJJFIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBooooCBooooCooDooCAADEoooooEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBCooAABCooooBooooooooDDoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBoooooBCooooDCoooEDCoFoEoAAFoEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooAABoCoooBoCooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: BBBCCCoooDDDoEEEoooooFoooAAFoooooFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooooooBCAAooBCoooooC
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoCAAoooCDooooEDooFoEDooFooGGooHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<1,Ev2,Cv2,A>4
</answer>


Board size: 6x6
Board: oBoooooBoAACoBoooCoooooCoooDDDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBooCoDBooCEDBFFFEooAAGHHoIIGoooJJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBAAoCoooDDCoooEEEoooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoCAAoBDCEEoBDCooooDoooFFooGGGoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BooooCBDoAACoDEooCoDEFFFooGGGoHHHIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: ooAABooCCCBooDEoBFoDEoGFooooGooooHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<2,Gv1,Bv1,A>2
</answer>


Board size: 6x6
Board: BBBooCDDDooCoooooCAAEoFooGEoFHoGIIoH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBooooooooooCCCoDDDoEooAAoEFFFooE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoAAooBooCDDBooCoEEooCFoooooFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBooAAoBCooooBCoooooCooooDDDooEEEo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBBBoooCooAAoCoDoooCoD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBooooCoDoAACoDEoFFFoEooGooEooGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAABooCCCBoooDEBoFoDEGoFooEGoFooHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: ooooooooooBooooCBooAACBDoEoCoDoEoooD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oooooBoooooBoAAooBoCoDDDoCoooooCoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBoCCCoBoooooBooooDDoEEFFoooGGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoCCCDBooooDEFGGGDEFHHHIEoooJIoAAoJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooooooAABCooooBCoDDoBCo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoooooooCDooooCDEooFFFEoGooHEoGAAH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooooooooooooCCCoooDoEoAADoEoooDoE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABoCoooBoCoDDooEoooFoEGooFooGoooooG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBCCCDoEFFFDoEAAGoHHHoGIIJoKKooJooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
K<1,Gv1,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: AAoBooCooBooCooBooCoDEEoooDFFFooDooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooooooooooBAAoCoBoooCoB
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBoooooBoooooCoDDDoCooAAoC
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooooBoCoooBoCDAABoCD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAABooCCCBooDooEEFDoGGoFDHHIIFooJJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoAAoCBDDDoCEooooFEooGoFEHoGIFoHJJIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BooCCCBooAADBoEooDFFEooGooEHHGooIIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBoCoDDBoCooEEoCoFGoHHoFGIoooFGI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<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: oAAoBoCCDDBoooooEoooooEooooFFooooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<1,Ev1,Bv1,A>3
</answer>


Board size: 6x6
Board: AAoooBooCooBooCDDBEEoFFFoGGGoHIIIooH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooBoCoooBoCoAABoCooooDoooooDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoCCCoooooDDDEoAAFoEoooFGEoooFG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAoBoooooBoooooCCoooooooDDoEooFFFEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBooooooooooCoooooCoDEooooDEoAAoDE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABoooooBoooooBooooCCDooEooDooEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoBCooooBCoooooCooooooooDDooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: AAoBoooooBooooCCoooooooooooDDooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBAAoCoBoDDCoBoooCooooEEooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBoooooBoooAACoooooCoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BCoDDDBCoEEEBAAFGoHHoFGIoooJJIooKKKI
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAooBoooCoBoDECoBoDEooFFDGoHHHoGoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooooAABCDDDEBCoooEoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBoCCCoBoooDDDoEFoGGoEFoHHoEFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoooCCCDooooEDAAooEDooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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

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


Board size: 6x6
Board: AAooBoooooBoCoooBoCooDDoEEEooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBoAAoCBooooCoDoooooDoooooDooEEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBCoAAoBCoooooooooooooDDDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoooAABoooooBoooooCCoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooooCooAAoCooDDDoEEFGHHooFGooII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBBBoCoooDoCoooDoCoAAD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooAABooooCCooooooDoEEooDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,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: oooBBBoCCCoDoEoAADFEoGGGFEooHHFIIJJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: oooooooooAABoooooBoooooBoooCCCoooDDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooCoBoooCoAADoEEEoDoFoooDoFooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoBCooDoBCooDEoCFoDEooFGGoHHHooIIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooBBBCooDooCAADooCoooooooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoooooBoooCooDAACooDooCooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooAABoooooBCCoooooooooDDDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoAAoCBDDooCoooEEEFFFGHIJKoGHIJKoGoI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooBooCCCBooooDBEoooDoEAAoD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<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: oooooBoooAABooooCCoDoooooDoooooDooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBooooooooooCCCoooooDoooAAD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBoAAooBoooooBoooCCCoDDooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBCCCAAooDoEoooDoEFFoDooooGGGooHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAooBCCoooBoooooBooooDDoEooFooEooFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooooBoooCoBoDoCAAEDFFGoEDooGoEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoCoooAACoooooCooDoooooDEFFooDEooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoCoDoooCoDEEECFDAAoGFoHHHGFoooIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oooooBooCooBooCooDoECAADoEooooFFooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoooooCAADooCooDEECFFoGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBCDAAooCDEoFFFGEHoooGoHIJJGoHIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBCooAABCoDDDBCEEEooooooFFoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBCoooooCooDoooAADoooooDEEEoFFooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooooooooooooooCAAoDoCoEoDoCoEoDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoooooBooooCBoDooCooDoooAADEooFFFEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBCCCAABooooooDDDEFFGGGEooHIIoooHoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,E<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: ooBCCCooBDDDooBooEooAAoEoFGoHHoFGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<1,Ev2,A>2
</answer>


Board size: 6x6
Board: ooBBBoCoooooCoooDooAAoDEoFFooEoGGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: oAAooBoooooBCCCooBDooEEEDoooFFDooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBBBooooooooAAoCDDDooC
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooooBoooooCoooAACDooEooDooEooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoAAoCBoDooCBoDooCooDooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBoooooBAACoooooCoooooCoooDDDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooAABoCCooBoooDDBooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoAAooBoooooBoCooDDDCoooooCoEEEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oBBBoooooAACoDDEoCoooEFFooooGGooooHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev2,E<1,Cv1,A>1
</answer>


Board size: 6x6
Board: oooooooooooooAAoBCooooBCoDEEoCoDoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBooAAoBCooooBCooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoBoooooBoooCCBoooooDDDoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBooooCBoDDDCBooooCEEEoooFAAGHoFooGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBooAAoBCDDoooCEoFGGGEoFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoooCCCoDoooooDoAAEoDoooEooFFoE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBCDDDoECooooECooAAEoFooGGoFoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<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: oooAABoooooBoooooCooDDoCooEooCooEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoAAooBoCoooooCooDEECooDoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBooCAABooCooBoooooooooooooooooDDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBoooooBooooCCDEoFoGDEoFoGDooFoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooAABCoDooBCoDooBCoD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooooCCCoDDDooEooAAFEGHooFoGHooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooAAoBoooooBooCoDDooCoEEEoCoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBCoooooCoooooCAAoDoooooDoooooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: ooooBoooAABooCooBooCooooDCoEEEDooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooAABooooCBoooDCEooFDCEooFDoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,Bv1,A>3
</answer>


Board size: 6x6
Board: ooooooooooooooooBCDAAoBCDEEoooDooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooooBBBCoAADoCoooDoC
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBooooooooooCCCoooAADoEoooDoEoooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoCAAoBoCoooDDoEEEoFoGooHFoGooHF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoCoAABoCoooBoCooDDooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABCooooBCDDEFBCooEFooGGHFooooHooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oooooBoooooBooAACBooooCooooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooooBCCCAABooooDDoooEEoFoooGGFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<1,G<1,Bv3,A>4
</answer>


Board size: 6x6
Board: ooooooooooooBBBooooooCoooooCoDAAoCoD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBooAAoBoCCooBooooDDooEEEoooFFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: oooBBBooCCCDAAoooDEoFFooEGGooHEoIIoH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBoAAoCBDDooCooEoFFooEGGGooEoHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoooBooCooBDoCoEEDFFoGGDoHHHooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBAACoDBooCoDBooEEooooooFFoooooGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBoooooBooooooooooCDooooCDooAACD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C^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: AABoCDooBoCDoooEoooFFEGGHIIEJKHLLoJK
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBoooooBAAooCBooooCoooooCo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoooooBoooooooooooooCDooAACDEooooDE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABCooDDBCEFooBoEFGHooEoGHoIIJJHKKK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooAABooCCCBoooDDBooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBooooCoooooCooAAoCooooooDDooooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoCCCDBoAAEDBoFFEDGHooEoGHIIIoGHJJJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABCooDDBCoEEoFCoooGFoHIIGFJHooooJo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Fv1,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: oBBBoCoDoooCEDoAACEDooooooooFFoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoBoooooBoooooBoooooCDooooCDoooooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBooCDooooCDoEooCoFEAAooFE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooAAoBooooCBooooCBoooooDDDooEEEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooAABCDoooBCDooEooDooEFFoooEGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBooooCoooAACoooDDDooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoooooBoCAAoDoCoooDoCoooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoooCoooooCooDooEAADFoEGoDFoEGooFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oooBBBoooCoDoooCoDoooAADoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooAABoooCCCoooooooooDDDooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBoCCCDBooooDoooooAAoEFooooEFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBCAAooBCooooBCoDDEoooooEooFFoEoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBCooDooCooDEoCooDEFooGooFAAGooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoCCCoBoooooBooDoooooDEooAADEFFGGoE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoooooAACDEEooCDFoooooFGoHIIFGoHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBooAAoCoDoooCoDoEECoooooFFoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: ooooooooAAoBoCoooBoCoooBooooDDEEEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBCoAAooCoooooooooDDDoEoooooEoFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooooBAACDooooCDEFooCDEFoGGoEoHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooooooBoooooBAACDoBooCD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBooAAoBooCDDDooCoooooCooEoooooE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBooAACoooooCooDooCooDoEEooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoooooooooCoDAAoCoDoooCoD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoCCCoBooooDEoFAADEoFooDoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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

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


Board size: 6x6
Board: ooBoCDEoBoCDEFFFCDAAooGHooooGHoIIooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoAAooBoCoDDDECoFFoECooooE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBoooooBCooooBCooDDDoAAoEooFFoEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABoooooBooooCCCDoooooDoooooDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBBBoCAAoDoCEEEDoooooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBooooCBooooCBoooDDDoooooooEEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABoooooBoCCDoBoooDEEFGGHHoFIJoKKFIJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oAABoCoDEBoCoDEBFCooEoFoGoooHHGIIJJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooAAoBoooooBoooooBCDDoEECoooFFC
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBBBCooAAoCoooooCoDEooooDEoFFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooAAoBoooCCBooooDDooooooEEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: oBoAACoBoooCoooDDDoEFFFGHEoooGHEooII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoCDDDBoCAAEoooooEoooooEoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooCoooooCooAAoCooooooooooooooooDD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoCDEoBoCDEoBoFoEGoHFooGoHoooIooAAoI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BAAooCBoDoECooDoEFooGooFooGoHHIIGJJJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H<1,Fv1,Cv1,A>3
</answer>


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

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

Board size: 6x6
Board: oBBBoCoooAACDooooEDooooEFoooooFooGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev2,Cv2,A>1
</answer>


Board size: 6x6
Board: BCDDDEBCooFEoCooFEGoHIIIGoHoJoGoAAJo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoAAooBooooCCoooDDDoEEEooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoooCooAAoCoooooDDooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBCoooDBCooEDBCAAEDooooEFFFGGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooooooooAABCoDoEBCoDoEBCoD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoooBoooCCBDooEEBDFoGGGHFoIJJHFoIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBCCCoDEooFoDEAAFGoHooFGoHIIoJJHoKK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
K<1,Fv2,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: ooooBooCooBooCAABoooooooooDDooooooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBooooooooAACoooDoCoEEDFGGGoDFooHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBBBoooCoooDoCAAEDoCoFEooooFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBCooAABCooooBCooooooooDDDo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoooBCooooBCDDoEECoooFoooGoFoooGoFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABoCoooBoCoooBoooooooooDDEEEoooFFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAABoooooBoooooCoooooCoooooCooDDooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBAAoCoBDooCEEDoFFooGoooooGoooooGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: ooBooCDoBAACDoBooCDEEoFFoooGGoHHHIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAoBoooooBoooooCoooDoCEooDooEoooFFE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoAAooBoooooooCooDDDCoEooFCoEooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABoooooBoooCCDDoEEEFGooHHFGooIIFGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBAACooBooCoooooDDoooooEoooooEoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoCCCooDDDoEooAAoEooooFEoGGGFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoooooooooooCoAAooCoooooCoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoooBCooooBCDDEFFCGHEIooGHoIJoGHoIJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: AAoooBooCCoBDEFFoGDEooHGoEooHGoIIIHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Gv1,Bv1,A>4
</answer>


Board size: 6x6
Board: ooAAoBCoooDBCooEDBFGoEDHFGoIIHFoJJJo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooooBoooAABooooCoDDDoCooooEEFFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBooooooCoooDECoooDECoAADEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBCooAABCooDDDooooooooooEEFoGGooF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBooooCooDAACooDooooEDooooEoFFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBoooooooAACDooEECDFFooCDGGoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoCCCoBoAADoBEooDoFEooDoFEoGGooHHooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<1,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: oooooooooBBBoooCCCoooooooAAooDoooooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooAABooCCCBoooooBooooDDooEEoooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBoCoAABoCoDDEEEooFFFoGGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooAABoooooCCCooooooooDDDooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooAABCooooBCooooooDDoooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBoooooBCooAABCoooooCo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoooooBoooooooooooAAoCDooooCDoooooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBCoDooBCoDoAACoooooooooEoFFFoEoooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oooBBBoooCooDooCooDooCEooFAAEGoFooEG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBBBoooooooooCAADEoCooDEoCooDEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBooAAoBoCCooooDooEFoDGoEFooGoEoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBooooooooAACoDEFoCoDEFGGoDEFHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBooAAoBooCCoBoooooDDoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoooCDBoAACDBoooCEFFGGoEooHHHoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BAACooBoDCEEooDCFFGHDIIoGHJooooHJKKK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBBBooooooooooooCDooAACDooooCD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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

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


Board size: 6x6
Board: oBoCCCoBAAoDoEEooDFooooDFGoHHHFGIIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoooooBoAAoCBooooCoooooCooooDDooooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBoooooCoooooCooAAoCoooDEEoooDooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBooCDoBAACDooooCDEEoFFGooHHoGIIIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoooAACoooooCoooooCooooDDooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooooooooooCooAAoCoooooCoooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBoCCCoDEFFFoDEAAoGDoHHoGIooJJGI
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oAABooCCCBoooooDDoooooEEoFoooooFoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBCCCoooDEoAAoDEoFoGGEoFHHooIFooooI
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev2,F<1,Dv2,A>4
</answer>


Board size: 6x6
Board: oooBoooooBoooAABoCooooDCooooDooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv3,B^2,A>3
</answer>


Board size: 6x6
Board: AABoooooBCDDoEECooFFGHHHooGIIoooGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooAABoCoDoBoCoDoEFGGooEFHHooEFooIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoBoCDDDBECFooBEoFGGoHHooIJJJooIKKK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBooCDoBAACDooEoooooEFooGHHFIIGooFJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBAAooCBooooCBDoooCoDEEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,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: oAAoBooCooBDoCoEEDFCGoHHFoGIJoKKKIJo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAoBooCCoBoooDDBooooEEFoooooFooGGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 6x6
Board: ooBoCoAABoCoooooCoooDDoooEoooFoEoooF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoCCCoBoooooBDEEEFoDooGFooAAGFooooG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBooAAoBCDooooCDEEEoCD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBAACooBooCooBoDDooooEooooFEooooFEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooCoAAooCoDDDooooooEEoFFFoooooGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBAAoCoDEEoCoDFFFCoDoGGooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBAAoooCoDoooCoDoooCoDoEEEoooFFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oBBBooAAoCoooooCoooDDCoEooFFoEoooGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABooCDDBooCooBEoooFFEoooooEoooGGooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBBBCooooDCooAADCooooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABooCoDBEECoDBFFooDGGooHHHooIIIJJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooAABooCooBooCoDoEEooDoFFGHHHooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooooAAoooBoooooBoooooBoCCoDD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooBoooooBCCCDoooooDAAoEoDFFoEo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBoCCCoBoDDDEoooooEFooAAEF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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

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


Board size: 6x6
Board: oooBoooooBCoAAoBCoooooCooooooDEEEooD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv3,Bv2,A>4
</answer>


Board size: 6x6
Board: ooooooooooooooooooBooCCCBoAADoBoooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoCoooooCoDoooAADoooooDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooooooooAAooCoooooCoooooCoooDDD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBoCooAAoCoooooCoooooooooooDDooooEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoooooooooooCAAoooCoooooC
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooooooCCCoAADoooooDoooooDoooEEEFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: AAoooBCooooBCoDDoBCooEEEoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABooCCCBooDDoBoooEEEFooGGGFHoIIoFH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBCooooBCDDDEBooooEoAAoFoooooF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooCooDDDCoooEEEFFFooGoooooGoooAAG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBooooCoooAACooooooooooDDD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAABoCCCoBoooooBoDoEEEoDoFFGHDoooGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooAABoooCCBooooDDDoooooooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoooAABoCoooooCoDDooCooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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

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


Board size: 6x6
Board: oBoAACoBoooCoBoDDDEFooooEFGHHHoFGIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAAoBoCoooBoCooDDDooooooooooooEEFFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBoooooBooCCCDAAoooDoooEEEoFFFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,Dv2,A>4
</answer>


Board size: 6x6
Board: oooBBBCDooEoCDAAEoooooFFGGGooooooHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BAAoCoBDDDCoooooEEooFoGGooFooooHHIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBooAAoBoooooooooooCCoooDDD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoCCCoBooooDoooAADoEoooDoE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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

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


Board size: 6x6
Board: ooooBoAAooBCooooBCoooooCoooDDDoooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBooCDDDooCooooAAEoooooEoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBAAoooBoooooBooooooooCDDDooCooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBooAAoBoooooBCoooDDCoooEEooFFooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBooAAoBCoooooCooooooooooDDDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooBoooooBCCCoooooDoooAADoooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoooBoooooBoooooBoooCCCooooDDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: oooBBBooCCCDAAEooDFGEoHHFGooooFGIIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBCCoooBDEoooBDEFGGGDEFHHooooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooBAAoooBoooooooooCCCoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BooCCCBoAADoooooDoEEooDoooooFFoooGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooCoooooCoooooCooDEooooDEoAAoDE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoooooBooCCCBooooDoEFAADGEFooDGEFHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooAABoooCoBDDDCooooooEEoooFFoGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBoooAABooooCCoooooooDDoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,Bv3,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: ooooBoooAABooooooooCoDDDoCoooooCoooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBBBooAAoCooDDoCoEooFFoEGHHoooGoIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAABooCCCBDEFFFGDEHHIGDEJJIGKLLLIoK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoCCCoBoDDDoooEEEooooFooAAoFGoooooG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoooooBoooooBoCCCDEoooFDEoAAFDEoGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBoCCCoBAADooEEoDoFFooDoooGGGoHHoIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooBBBoAACoooDoCoooDEEEooDoFFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BooooCBooooCBAAooCoooDDDooooooEEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<1,Cv3,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: ooooBooAAoBoooooooooooCCoooDooEEoDoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooooCCCoAAoDooEooDooEFFFooEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooAABoCDooEECDoooFoDGGGFoooooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooBoooooBoCCCDDDEooAAoEoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBooooooooooCoooAACoDoooCEDooooE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oAABCoDDDBCoEoooCFEoGGGFEoooHHoIIoJJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BCooooBCoDDDBCooooEFoGGGEFAAoHEooooH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBooooCoooDoCAAoDoCoooDEEoFFooGGHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<1,H<1,Dv2,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: AABoooooBooCooBoDCooEoDoooEooooooFFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BCCCoDBooooDBooAADoEFFoooEoGGGoEoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<1,Dv3,A>1
</answer>


Board size: 6x6
Board: oooooooooBBBAAoCoDoooCoDoooCoDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BBBCooAAoCoooooDDDEEFFooGooHooGooHII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBooooCoAAooCoDDEFGHoIEFGHoIEFGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooooBoooooCCCDDDoEoAAooEoooooEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBBBCoDDDoCAAEoooooEoFoGGGoFoHHIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BCoooDBCAAoDEEFFFDGGHHHoIooJJJIKKLLL
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<1,Dv2,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: oooBBBoooooCooDDDCoooooCoooooEAAoooE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooBBBooooooooAAoCoooooCoooooCo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooooBoAAooBCDoEoBCDoEooCDoEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooBooooCBooAACDDDooCoEEFFooGGHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooCDBEEECDoooFCDoooFGoAAoFGHHIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BCDDDoBCoEEEoCFFFGooHAAGIIHoJGooHoJo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooooBoooooBoCoAABoCDooooCDoooooD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAooBCooooBCooooBCooooDDoooooooooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

Board size: 6x6
Board: BoCCCoBDEFFFoDEGGGHDoIIIHJoooKHJAAoK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBAAoCoBoooCDDoooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oBBBoooAAoCDooEFCDGoEFCDGHHFooGoIIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooAAoBCooooBCooDDDCoooooooooEEooooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AABoooCCBoDDooBEEooFFoooGGGHoooooHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooBCooooBCooDEBCAADEooooDEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BooAACBooooCBooooDoEoFFDoEoGoDoEoGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooooooooBBBooooCoooAACo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<2,C^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: ooooBoooAABooooCCoooooDDEFoGGGEFoHHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: AAoooBoooooBoooooBooCCDDoooEEEFFGGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooooAABooCooBooCoooDEooooDEoFFFDEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooooooooooBBBooCAADooCooDooCEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBBBooooooCooooDCoAAoDCooooDoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooooooBoooooBoooCAAooDCEFFoDoEooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooooBoooooBooAAoBooCCCooooDDDooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: BoooooBooAACBooDDCoEEooCooooFFooooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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