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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,Bv1,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: ooBBBoAAooCooDDoCoEFFoCoEoGGGoEooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: oooBoooAABoooCCBooooooooooDDoooooEEo
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: ooooBoAAooBCooooBCoooDoooooDoooooDoo
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: ooooooooooBoAAoCBooooCooooDDoooooooo
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: oBoooooBooooooooooooooCoAAooCDoooooD
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: ooBBBCooooDCoAAoDoEEoFGoHIIFGoHooFGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,Cv1,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: oooAABoooooBoooCoBoooCoDEEoCoDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 6x6
Board: ooBoooCDBoEoCDBoEFoDAAEFooGooFHHGoII
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: ooooooooBoooooBoCoAABoCoooDDooEEoFFF
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: ooooooooooooBoooooBoCooDBoCoEDAACoEo
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: oooooooooooBAAoCoBoooCoooDoooooDoooo
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: BooAACBooDDCoEFFFCGEoHHHGEoIIIGJJJKK
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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

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


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

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


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


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

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


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

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

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

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


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

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


Board size: 6x6
Board: BoooooBooCCCBoooDEAAooDEoooooEoooFFF
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>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<2,Cv2,Cv1,A>4
</answer>


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^2,G<2,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: oooooooBBBooooooooAAoCoooooCoooooCoo
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: oooooooooooooAAoBCoDoEBCFDoEooFoGGoo
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: ooooooooooBCoAAoBCoooDDDooooEFooooEF
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: oooooooooBoooAABoooooBCCooooooooDDDo
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: ooooBooAAoBooooCCoooooDDooooooooEEoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv3,Bv1,A>4
</answer>


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

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


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

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


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

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

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


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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


Board size: 6x6
Board: oooooBoAAooBCCoooBoooDDDoEEEoooooooo
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: oAAooBooCooBDoCoEEDoooFoooooFoooooFo
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: BCDoEoBCDFEooCDFEGoAAFoGooooHHIIooJJ
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: oooooooooooooooBBBooooCDAAooCDooooCD
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: oooooooooooBoooooBAACooBooCoooooCoDD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Iv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<2,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: ooAAoBoooooBoooooBoCCCDDoooEEEoFFGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,Hv1,Dv2,A>3
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv2,Cv2,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<3,Bv3,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: BBBooooooooCAAooDCooooDoEEooDooooooo
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: oAAoBooCooBooCooBooooDDDEFGGGoEFoooo
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: oBooooCBooooCBooooCoDEoFooDEoFAADEoo
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: oooBBBooAACoDDooCoEFoGGHEFIooHEFIooH
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: oBBBCoooooCDAAooEDoooFEDGGoFEoHHHFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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

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


Board size: 6x6
Board: BCAAoDBCoooDoEEEoDoFFGGGooHHHIoJJKKI
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>


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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