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

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

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


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

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


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

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


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

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


Board size: 6x6
Board: oBoCoDoBoCoDoooAADoEEoFFooGoHHIIGJJJ
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,J<1,Dv3,A>1
</answer>


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,A<2,E^2,F<2,Cv4,Cv4,D>2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<2,E^2,F^3,H>1,Fv2,A>3,F^1,I<1,Ev3,A>1
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,E<2,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: BCDDDoBCooooooEEEFGGGoHFoIAAHJoIooHJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,J<1,K<1,Fv2,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^1,F<3,Bv2,Bv2,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,A<1,E^4,F<2,Cv3,A>3
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I<1,Dv1,J<1,Gv1,Cv2,A>4
</answer>


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

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

<think>
Shortest path found.
</think>
<answer>
E<2,Cv4,D>2,Bv2,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,A<3,D^2,F^3,H>1,Fv1,F<4,Bv2,Bv2,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
J<1,K<1,Gv1,Dv1,A>2
</answer>


Board size: 6x6
Board: AAooBooCDDBooCoEEEooFGGoHHFoooooFoII
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>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,E<1,H<1,Cv2,A>4
</answer>


Board size: 6x6
Board: BoCCCoBDooooBDoEEEoFFFGHoIAAGHoIJJGH
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>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>1,A>2,Dv2,D^3,E<2,Dv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv3,C<2,E<2,Bv2,A>2
</answer>


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
H<1,Ev2,A>1,Bv2,B<2,E^1,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^2,A<1,F<1,Cv3,C<2,D^3,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,E>3,Bv4,D<3,Bv2,Bv1,A>4
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
F^1,H<1,J^1,L>1,Cv3,F<2,Cv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,F>1,H>1,Bv4,E<1,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,F<1,Gv1,G<2,Cv2,Cv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D>1,Bv2,A>3,C^2,D<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: BoAACoBoooCoooDDEooFGoEoHFGIJJHFGIoo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
D<2,G^2,I^2,J<2,Gv1,Cv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,E<2,F<1,Cv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<1,C^1,E>2,G^4,F<1,H<1,Dv3,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<2,Ev2,E<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: oAABoooooBCCoooBDoEFFGDoEHHGoIEJJJoI
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<2,F<1,G<2,H<2,Bv3,A>3
</answer>


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

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


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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>2,Ev2,F<1,Cv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv2,Cv1,F<1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Gv1,G<1,I<1,Fv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<3,E^2,F^2,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: oooBBBooooCooDDDCooAAECooooEoooooEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,Fv2,G<1,H<1,Bv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,H<1,I<1,Fv2,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: BoooooBooCCCBooDDDoooEoooAAEoooooEoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
G>1,Cv2,C<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,Dv1,E^2,H<1,I<3,Dv2,Dv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,I<2,Bv3,E<1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv3,F<2,Bv2,Bv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,H^1,I>2,Dv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,K>1,Jv1,Cv1,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^2,H<3,Fv2,F<1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,C^2,E<1,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: oooooBoooooBoAAooBooCDDDooCEEEooCFFF
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,C<3,F^2,G^2,H^2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F>3,Dv2,D<2,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,F^1,H<2,Ev1,Bv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^1,E<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: ooBBBCoDoAACoDEEEFoGGGoFHIIJJJHKKKLL
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H^2,I<1,J<1,K<1,L<1,Gv2,Cv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^2,Ev1,D>3,Bv2,A>3,C^2,D<1,Cv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<2,C^4,D^4,E<2,Dv3,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,D^3,E<2,Cv3,D>2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,I<2,J<1,Cv4,B>1,D^2,F<1,G<2,Dv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Fv1,J>1,Ev1,E<2,Cv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,F^2,G<4,Dv2,Ev1,H<2,Dv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C<1,Ev1,E<1,Bv2,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: ooAABooCCCBDoEEEFDooGHFDooGHFooooHII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,H^1,I<2,Gv1,Bv1,A>2
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
F<1,G<1,H<2,J<1,Dv4,F>1,Cv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,E^3,F<2,G<2,Dv2,Dv1,A>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,D^1,E^1,F^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: BooCCCBAAoDoooooDoEFGoDoEFGHHHoFIIoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^2,Dv1,D<3,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,F^4,A<1,F^2,G<4,Fv2,H<3,Dv3,Dv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B>2,D^1,Ev1,E<2,I^2,J<1,Dv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,Bv1,B<2,D^1,E^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: AAooBCooDDBCoooEoCFFFEGGHoIoooHoIJJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


Board size: 6x6
Board: oooooooooBCoAAoBCooooBooooDDooooEEoo
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>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,F<2,Bv1,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: oBBBooooCDoEAACDoEFGGGHEFoIIHoFJJJHo
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F<3,G<2,Cv3,H<1,Bv3,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,E<2,J<1,Fv1,F<2,Cv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Fv1,F<2,Bv1,Bv1,A>4
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
F^1,I<2,Gv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<3,C^1,E^2,I<2,Ev2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
H^3,I<3,Gv2,Gv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,E^1,G<1,Cv2,H<1,I<1,J<1,Fv2,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,A>3,F^2,G<1,Fv2,A>1
</answer>


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Gv1,G<1,I<1,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H^3,H>1,I<1,Fv2,A>4
</answer>


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

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


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

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


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

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


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
H<3,Fv1,I<2,Cv3,Dv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,D^2,A<2,H<2,Dv3,D<2,E^3,A>4
</answer>


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Ev2,E<2,Cv1,Cv1,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,A>1,Bv2,B<3,D^2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,Dv1,D<2,H^1,I^1,J^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: BooCCCBooDDDBoEEEFGAAoHFGIIIHFooJJJo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
C<1,D<1,F^2,J<1,Hv1,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^3,H<1,I<2,Cv2,Dv1,K<1,Gv2,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G<1,H<3,Cv2,Cv2,Cv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<2,Ev1,G<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: AABoCoooBDCEooBDoEFGGGoEFoHHIoFoooIo
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,E^1,G<3,Dv2,Dv1,A>4
</answer>


Board size: 6x6
Board: oBAAoCoBoooCoBDDoCoEFGGGHEFIJJHEFIKK
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,Dv1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D<1,E<1,Cv4,D>1,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Gv1,G<3,Cv3,D>1,Bv2,A>3
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<1,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,G^1,H<1,Dv2,F<1,Bv2,A>3
</answer>


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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<3,Ev2,Ev1,H<1,Dv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,G^1,H>1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
H<1,Dv2,C>2,D>2,E^3,I<1,Fv1,A>4
</answer>


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,A<1,E^4,E<2,F<2,Cv3,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G^3,K>1,Gv1,G<3,Cv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<1,A>2,Dv2,D<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: oooooooAABCDoooBCDoooEoooooEooooFFoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv1,F<1,Ev1,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,C^1,J>2,Fv2,G>2,Dv2,E<3,Cv1,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I<1,Ev2,F<2,Cv2,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,A>1,Bv2,C<1,E^2,A>2,G^1,H<1,K<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: BoAACDBEEECDFooGCDFHoGIIFHoJJooHKKKo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
H^1,J>1,K<2,Hv2,H<2,Cv1,Cv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^2,F^1,G<3,H<3,Cv3,Dv3,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,F<2,Cv1,G<1,Bv2,A>4
</answer>


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,F^1,H^1,I<2,Hv1,Cv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,Dv1,H<1,Bv2,A>4
</answer>


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

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


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

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

<think>
Shortest path found.
</think>
<answer>
F<2,G<3,Cv2,D<1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv4,B<2,A<1,Cv3,C<3,D<3,E^3,F^3,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^1,G<1,H<1,Dv2,E>1,Bv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<2,Bv1,Bv1,H<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: BBBoCDAAooCDooEooDooEFFoooEooooooGGG
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv2,B>3,D^2,F<3,Bv2,Cv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F^1,G<4,Ev1,Ev1,H<1,Dv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^1,H^2,J<2,K>1,Hv1,H<3,Fv2,F<1,Dv1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<2,H^1,L<1,Gv1,Bv1,A>1
</answer>


Board size: 6x6
Board: oooBBBooooCoooooCoooooDoooAADEooFFFE
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>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,E<2,Bv2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,I<2,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: oooooooooooooAAooBCDDooBCooooBCEEEFF
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>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Bv3,Dv2,D<2,Bv1,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,B<2,C<1,D^1,Ev2,F^2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,F<2,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: oooooooBBBCoooAACoDDDoCoooEEFFooooGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,G>3,Bv3,Cv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C>1,A>1,Fv1,F^3,G<2,I^1,J<1,Fv1,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: ooooBooAACBoDooCBoDEEoooooFGGGooFooo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<3,Bv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
H^1,J<2,Iv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Dv1,D<1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,C^1,G^1,I<2,Dv2,D<1,Cv1,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,D<4,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: ooBBBoCoooDoCoAADooEFFDoGEHIIJGEHooJ
Optimal length (moves): 12
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
B<1,C^1,D^1,A<2,F>1,H^3,G<1,I<1,Dv3,C>2,D^1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^2,H^2,I<2,Bv3,Ev1,E<2,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^2,D<2,E<3,F<2,Cv3,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: oooBBBoCDDDooCoEEEFCAAGoFoooGHFoooGH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
B>1,D^1,Ev1,E<2,F<1,Dv1,C>2,I^3,J<1,Ev1,A>1
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E>2,Bv3,A>3,D^1,E<1,Cv3,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,C<1,D<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: BBBoCooAAoCoDDEECFGoHIIFGJHooFGJKKoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
K>1,Hv1,H<1,Cv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,Cv1,G<1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,A<1,F^4,A>2,E^2,F<2,G<2,Cv3,A>2
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,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: oBoooCoBoooCoDEAACoDEFFFGGEooooooHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,E^1,I<2,Fv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<2,D^1,A>2,H^2,I<1,J<2,Dv3,Dv2,A>2
</answer>


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

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


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

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


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

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


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

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


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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,I>1,Dv1,D<1,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B<2,Cv1,C^2,Dv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,E^1,G<1,Ev2,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: oooBBBooAACDooEECDoFGGHDoFIIHooFoJJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv1,F^1,J<2,Hv1,Cv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G<2,Dv1,D<2,Bv2,Bv1,A>4
</answer>