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: oooooBAAooCBDDDoCBEoFFFoEGGoHHEooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,Ev1,I>1,J<2,Dv2,D<3,G^3,J>3,Fv1,Fv1,F<3,Cv2,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,F^1,G<2,H<2,I<2,Cv3,D>2,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D>2,E^1,I<2,Fv1,F<2,Cv1,A>4
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,F<1,G^2,H<1,I<1,Dv3,F>1,Cv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Gv2,Cv2,G<1,Dv1,A>2
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
D^1,E>2,G^2,H<4,Ev2,E<2,F<2,Cv4,Cv4,C>2,D>2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,E^1,G>3,Ev1,H<1,Dv2,D<3,Cv2,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,D<1,G<1,Cv2,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<1,I<1,Cv2,D>2,Bv2,A>4
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
Cv2,C^1,E<4,Bv2,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I>1,J<1,Cv2,E<1,Bv1,A>1
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,I<3,Gv1,Cv1,A>3
</answer>


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

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


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: oooooBoooooBooAAoCDDEooCooEooCooEFFF
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: oooBooAAoBCDoooBCDoEEECoooFFFooooGGG
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,D<3,Bv2,Gv1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<2,C^1,A>2,E^1,H<1,Ev1,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: oBAACooBoDCooooDEoFFGDEoooGHHIJJJooI
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H<1,Fv1,Cv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,A<1,Dv2,E^3,F<3,Cv2,Cv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,G<1,J^2,K>1,Gv1,G<2,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Cv1,C<2,E^3,F<2,Cv3,E>2,Bv2,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,C^1,D^1,F<4,G<1,Dv2,D<2,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E>2,Cv2,C<3,Bv2,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,D>2,Bv4,B<3,C<3,D^3,E^3,A>4
</answer>


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

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


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,E>1,I>1,Bv4,D<3,F<3,Bv2,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Ev1,E<1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev2,E<3,Bv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv3,C<1,D^1,Ev1,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: oooooBoooAABCDooooCDEEFFCDooGGoooHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,D^1,A<1,F>2,G^2,H^4,I<4,J<4,Fv2,G<2,Dv3,Dv3,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,I<2,Hv1,Cv1,A>4
</answer>


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,A>1,D^1,E>3,F^1,G<3,Bv3,A>1,D^3,A<1,E^3,F<3,Cv3,Cv3,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,D>3,F>1,Bv3,A>3,C^3,D<1,E<1,F<1,Cv3,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,Ev1,Bv2,C<1,I^4,G<1,J<1,Cv3,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Gv1,G<2,Dv2,Dv1,A>3
</answer>


Board size: 6x6
Board: oooooooBBBoCoooooCAADooCooDoooooDEEE
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>


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: oBBBoCooDooCAADoECoFFFEoooGGEoHHoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv3,B>2,C^1,Dv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Dv1,D<3,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F<3,Cv1,A>2,C^3,A<1,D^2,E<3,Cv2,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,Iv1,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: ooBoooAABoCDEFBGCDEFoGCDoooGHHoIIIoo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,H<4,Bv2,Bv1,Bv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F^2,G^2,H>2,Gv2,Cv1,C<2,E^1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv4,D<2,Bv2,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,E^1,F<3,Cv2,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<2,A<1,E^2,H<1,Dv4,G>1,Cv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<2,Cv1,B>1,C^1,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: oBBBoooooCoooooCooooDEooooDEooAADEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,Cv1,Dv2,D<2,E^3,F<4,Bv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,C^1,D<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: ooBBBoCDDDooCoooooooEFFFAAEoGoooEoGo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,A<1,E^2,F<4,Cv1,Cv1,A>4
</answer>


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
F<1,Cv3,E>1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G<2,Cv1,B>1,D^1,F^1,I>1,J<3,Ev2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<2,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
J<3,Ev1,E<1,Iv1,Cv2,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv3,C^1,A>3,D^1,E<1,G<1,Cv3,A>1
</answer>


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
B>1,D^1,A<1,E^2,G^2,H^2,I<4,J<4,Ev3,Ev2,Ev2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,G<1,Ev1,Bv1,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,I<1,J<1,Fv2,Cv1,G>2,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^1,E^2,H<1,Ev3,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^3,D<2,Cv4,C>2,Bv2,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
E>2,A<1,Bv3,B<2,C<2,D<2,F^3,G^2,I>1,Gv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv1,D^2,E<3,Bv1,Bv1,A>4
</answer>


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
B>1,G^4,E<1,F^1,H<4,I<1,Fv2,F<2,Dv2,A>2
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^1,H^1,I<3,Ev1,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: oooooBoooooBAAoooBooCDDoooCEEEooCooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^3,G<1,H<1,Cv3,B>2,C^1,A>4
</answer>


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
E^1,F>2,G<2,I<1,Bv3,A>1,D^1,E<3,Cv1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C<2,E^1,H<1,Fv1,Bv2,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,Dv1,D^1,G<1,I<1,Fv2,Cv1,G<2,Cv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^3,D<3,Bv2,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: ooBoooAABoooooBooCDEEooCDFFFoCDooooo
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Fv2,F<2,Cv2,Cv1,A>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,A>1,C^1,F>1,G^3,H<1,I<1,Dv1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<1,F^1,Gv2,G^3,A>4
</answer>


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

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

<think>
Shortest path found.
</think>
<answer>
G<1,Bv1,Kv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,Ev1,I>1,Dv1,D<3,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,H<2,Dv3,Dv3,D>2,Cv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
E^2,Fv1,F<1,I<1,Dv3,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv3,C^2,D<3,Bv2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G<2,H<2,Fv1,Bv1,A>3
</answer>


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<3,Cv2,C>3,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,Bv1,Fv1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,F<1,G<3,H<1,Cv4,E>1,Bv2,A>4
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Dv1,D<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<1,D^1,E<1,Fv1,F^3,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Dv1,H>1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E^1,F^1,G>2,Cv3,F<2,Cv1,Cv1,A>3
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
Cv1,Ev1,E<2,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,H<2,Cv2,Cv1,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D>2,E<2,Bv4,C<2,Bv2,A>4
</answer>


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
F>1,Cv2,D<2,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<1,D<1,Ev2,E^2,Fv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,F^2,G>1,Bv3,D<3,Bv2,A>3,F^2,G<1,Cv1,A>1
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,J<1,Gv2,G<2,Bv1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
G^1,J<1,Hv1,Bv2,A>1
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<2,G^1,H<1,J<1,Fv2,Cv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F<1,G<2,Bv3,Cv1,A>2
</answer>


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
E>1,Bv3,D<1,Hv1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,G<1,I<1,Cv3,D>1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Dv1,D<1,Bv1,A>2
</answer>


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H^2,I<3,Cv2,Cv2,Dv2,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
L>2,Dv2,G<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: BoCCCoBoAADoBoEEDooFGHIIoFGHooJJJHoo
Optimal length (moves): 12
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,B<2,A<1,E<1,H^3,J>3,Gv1,Gv1,G<3,Cv2,Dv1,A>3
</answer>