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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Iv1,Cv1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Gv1,G<2,Dv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,C^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: ooooBooAAoBooCCCooDooEEoDooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<1,Gv1,Cv1,A>2
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F<1,G^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: ooooooBBBooooCCCooooooDEooooDEAAooDE
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: oooBoooAABoCDDoooCoooooCoooEEEoooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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


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

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


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

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

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

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


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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
K<1,Dv3,A>2
</answer>


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

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


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

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


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

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


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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,F>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: oooooooooBBBCoooooCooooDCooAADEEEFFD
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: ooooooBoooooBooCCCBAAoDEooooDEooooDE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,Dv2,Bv2,A>4
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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

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


Board size: 6x6
Board: oooBoooAABoooooBooooCCCoooooooooDDoo
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: oooBoooooBoooCCCoooooDoooooDooAAoDoo
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: ooBCooAABCoooDoooooDoooooDooEEoooooo
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: AABCooooBCDoooBoDooooEFFGGoEooHHHEoo
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: ooooooooooooooooooooBBBoooooCoooAACo
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: ooBBBoCDEoooCDEoFooDAAFGHHooFGoooIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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

<think>
Shortest path found.
</think>
<answer>
Bv2,Cv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv3,Bv2,A>3
</answer>


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Ev1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv3,Cv1,A>4
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

Board size: 6x6
Board: ooooooooooooooBoCoooBoCDAAooCDoooEEE
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: BoooooBoooooBooooCAAoDoCoooDoCoooDoo
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: AABooCDDBooCoEBooooEoFFoGoHHooGooIII
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: ooooBoooooBoCoooooCooDDDCAAooEoooooE
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: oBoooooBooCooBDoCEAADFoEooDFGGHHHFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,I<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: oAAoBoooooBooooCCDoEoooDoEoooooEoFFF
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: ooooBoCoAABoCooDDoCooooEFooGGEFoooHH
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: ooBBBoooooCoAAoDCoooEDooooEFFooooGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^2,D^3,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: oooBCooAABCoooooooooDDoooooooooooooo
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: ooooooooooooAAooBoooooBoooooBooooCCC
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: oooBBBooCoDoooCoDEFAAoDEFGGGoHFIIIoH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
I<1,Fv2,Dv2,A>2
</answer>


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,J<2,Ev1,A>3
</answer>


Board size: 6x6
Board: oooBBBoCDooooCDooEAADooEFFFGGHoIIooH
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: oooooooooooooBoAACoBDDDCooEEoCFFoGGG
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: oooooooooooooooBBBoAACoooooCoooDDCoo
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: oBBBoooooCCCooDDDEoooooEoAAooEooFFoo
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: oooBBBooooooooooooAAooCDEoooCDEooFFD
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: oAABoCoDEBoCoDEBooooEFFooGGoooHHoooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Ev1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^2,J<2,Fv1,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: oAAoBoCoooBoCDDDEFCoooEFoooGGGoHHHoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G<2,Ev1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<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: BBBoCooAAoCooooDDoooEooFGGEHoFooEHoF
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: ooooooooooooooooooBBBooCoooDECoAADEo
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: oooooooBBBoCoDAAoCoDoooCoDoooooooEEE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,H<1,Dv1,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: AAooBooCooBooCooBDEoFFFDEooooGooHHoG
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: oooooooooBBBoooooCoAAooCoooooCoooDDo
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: BooCooBooCooAAoCooooDDDooooooooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Gv1,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: ooooooooooooooooBooAAoBCoDDooCoooEEE
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: oooooBooAAoBoCDEEEoCDooooCDooooooFFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F^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: AAooBoCCCoBoDDEEBoFoGGGHFIoooHFIoooH
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: ooBBBoooooooooooCoooAACoooooCooooDDo
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: oBBBoCoAAooCooDDEEooooFoooooFoGGGoFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,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: BoooCoBoooCoooAACooooDDooooooooooooo
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: oooooooooBBBoooCCCoooooDooAAoDoooooD
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Dv1,E<1,Bv3,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<1,Ev1,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: oooooooooooBCoAAoBCooooBoooDDDoooEEo
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: BoooooBoCCCoBoooDoAAooDooooEEEooFFFo
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: oBBBoooooCCCoAAoDoooEEDooFooDooFooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,Cv3,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: oAABCooooBCooooooooooooooooooooooooo
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: BooooCBoDDDCBooAACEoFFFoEoGGHHoooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,E<2,Bv2,A>4
</answer>


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

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


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


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

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