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: oBoCCCoBoDDDoooooEFGGGoEFAAooEFoHHII
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: oooBooAAoBoooooBoooooCCoooooDDoEEooo
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: oooooBoooAABoooooBoooCCCooDDooEEEooo
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: oBCDDDoBCooooBCAAEFGHHoEFGIooEoGIoJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
J^1,K^1,A>4
</answer>


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

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

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


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

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


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

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


Board size: 6x6
Board: BooAACBoDDECFGGGECFooHHHoooIIIooJJoo
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: oooooooAAooBoooooBoooooBoCoDDDoCoooo
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: ooooooAAoBoCoooBoCoooBoCooooDDoooEEE
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: oooooooooBBBoooooCAAoooCoooDDDooEEoo
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: oBoooooBooCooAADCoEoFDGHEoFDGHEoFoGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<3,D<2,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: ooooooAABoooooBCCooDDDoooEoFFFoEoooo
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: oAAooBoCCDDBoEoooBoEoFFFoEooooGGGoHH
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: ooooooooBoooooBooCAABoDCooooDCoooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,H^1,J<2,Ev2,Cv2,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^2,G^3,I>2,Gv1,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: oAABCDoooBCDEEoBCoFoGGoHFIIIJHFoooJH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<1,G^2,H<1,Cv2,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,D<1,E<1,F^3,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: BCCCooBooDooEEEDFooAADFGoHHoFGooIIoo
Optimal length (moves): 10
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F^2,G^2,I<1,Ev2,F>1,Bv3,B<1,E<1,G^3,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D>1,F^3,I<2,Gv1,A>3,Cv2,D<1,F^1,A>1
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F<1,Ev1,Bv2,A>2
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<3,Cv1,C^2,D^2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G^3,H<1,I^2,J<2,Hv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
E<1,Cv2,C<3,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<2,E^2,G>2,Cv4,F<1,Cv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F>1,Bv1,B<1,E^1,H<1,Dv3,A>2
</answer>


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,I>2,Bv3,Dv1,D<3,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,H^1,J<1,Dv2,E<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: BBBCooDDDCoEoAACoEFooooGFooooGFHHHoG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,A<1,D^2,F^3,G<2,H<2,Dv4,F>2,Bv2,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,Cv2,C^1,D<3,Bv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
K<1,Iv1,H>1,Bv3,D<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: oBBBoooooCCCoDDDoEoAAFoEoooFoEoooFoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>2,C^1,Ev1,I^2,J<1,Dv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,G^3,I>2,Fv2,G<3,Cv1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<2,Dv2,E^3,F<2,Dv3,E>1,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Gv2,Bv2,B<2,C<1,G^3,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: ooBCooAABCooooBoDDEFFFGHEoIIGHooJJoH
Optimal length (moves): 17
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,Fv1,H<1,J<1,Cv4,C<1,E^3,E>3,F^2,G<1,Bv2,A>3,D^2,F<1,Cv2,A>1
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,G^1,I>1,Gv1,Cv1,C<2,F^2,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
J>2,Fv1,F<1,G<1,Dv2,A>1
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I<1,J<1,Gv1,Ev1,A>1
</answer>


Board size: 6x6
Board: ooBooCooBDoCEAADoCEFFDooGHooIIGHoJJJ
Optimal length (moves): 16
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D^1,E^1,F>3,G^1,H^1,J<3,Cv3,A>1,F^3,A<1,G^3,H<3,I<3,Dv3,Dv3,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,G<1,Dv1,C>1,F^2,H<1,Fv1,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: ooBCCCooBDDDooBEEEoAAooFoooGGFooHHoF
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,F<2,Bv3,Cv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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: BBBooCoDDDoCooAAoCoEEFFFooooGGoHHIII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<2,Bv1,I<1,Fv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

Board size: 6x6
Board: ooBooCAABoDCooEEDoFGGHoIFooHoIFJJHKK
Optimal length (moves): 15
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<2,H^3,H>2,Bv3,E>1,F^1,J<1,Gv1,G<2,Bv2,Cv1,K<1,Hv1,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,Cv2,F<1,Bv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,Dv1,H^2,I<3,Cv1,Cv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,H<3,Fv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,Gv1,F>2,H^3,G<2,I^2,J<2,Ev1,Ev1,A>2
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,E^2,G<2,Cv2,Dv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^4,A<1,E^3,F<3,Dv3,Dv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,E^2,H<1,J^1,K<2,Gv1,Cv1,A>3
</answer>


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,Fv1,J<1,Ev1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,Cv1,Hv1,Cv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,C^3,D<4,Bv2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,G^1,K<1,Hv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^2,E<3,Cv1,Cv1,A>4
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I<1,Fv1,F<2,Cv1,A>3
</answer>


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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,A<3,D^1,F^2,G<4,Cv2,Cv1,Cv1,A>4
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F^2,A<2,G^1,H^1,J^1,K<4,Ev3,Fv1,Fv1,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,H^2,I<3,Fv2,Fv1,F<2,Bv1,Bv1,A>2
</answer>


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
E^1,F^2,H^1,I<1,Hv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^2,E<1,J<1,Gv1,Dv2,A>1
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
F<1,I<1,J<1,Dv3,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,Bv1,B<2,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: ooooBoAAoCBoDooCooDEEEooDFoGGGoFHHoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,C>1,F^1,H<2,Bv1,A>4
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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