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

<think>
Shortest path found.
</think>
<answer>
G<3,Cv1,Cv1,I>1,Ev1,E<1,Bv1,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,D<1,F<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: BCCCooBAAoDoBoooDooEFGGHoEFIoHoEFIoH
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,I>1,Ev1,Bv1,B<3,D^1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Fv2,Cv2,F<1,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
J<1,Hv1,G>2,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,Ev1,A>2,Bv1,B<2,D^1,A>2
</answer>


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,D^1,E>1,Bv3,B<2,D<1,F^3,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Cv2,A>1,E^2,F<2,Dv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv3,E>1,G^2,A>3,Ev1,E<1,G^2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,D>1,F^2,H<3,I<1,Fv2,F<3,Bv2,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B>1,H>1,Cv3,A>2,D^3,E<2,Dv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^1,G^1,H<3,Cv3,Dv1,A>4
</answer>


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Fv1,K<1,L<1,Fv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,Dv1,Ev1,E^3,F<3,Bv2,Bv2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,Dv1,A<1,G^4,H<1,I<1,Dv3,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev2,Bv1,F<1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,I^1,K<1,Iv1,Bv1,A>4
</answer>


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
D<1,Bv2,J<1,Ev2,Bv2,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,J<1,Fv1,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<2,C^1,D^2,E<4,Bv2,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,F<1,Bv3,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,Ev1,H^1,I<1,Dv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,Ev2,E<1,F<1,Cv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B>1,C^1,H<1,Dv2,A>4
</answer>


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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,Ev1,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: AAoBoooooBooCooBooCooDDDCoooooooooEE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F^2,H^3,J<1,Gv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv2,H^2,I<1,J<1,K<1,Hv2,Cv2,A>2
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,Bv1,A>3,C^1,J^1,K<1,Fv1,Cv1,A>1
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<1,F^2,G<3,I<2,Cv3,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: oooBoCoAABoCDDDBoCooEEoooooFFooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv2,E<1,F<2,Bv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^2,D<3,E<4,Bv3,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G<1,Ev3,F>1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,E^1,F^1,G<4,Cv3,Dv1,Dv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F>1,H^2,I<2,Ev1,Ev1,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: BoooCoBoAACDoEEooDooFoGGHHFoIooJJJIo
Optimal length (moves): 12
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,A<2,E>2,F^3,H>1,Ev2,E<3,F<4,Bv2,Bv2,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,E^1,Hv1,H>1,Ev3,E>1,F^3,G<3,Cv1,Cv1,Cv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv1,J>2,Gv1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<1,Bv3,E<2,Bv1,A>3
</answer>


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,D<1,Ev1,E<2,F<1,I^3,J<1,K<1,Dv4,F>1,Cv1,I>1,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>2,Dv2,E>1,F^1,J<1,Gv1,G<2,Cv2,Cv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,H<1,Fv1,Cv1,A>2
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv3,A<2,F^1,H>1,Cv3,A>2,Bv1,B<2,D^1,E^1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,H^2,I^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: BoooCDBAAoCDBooooDoEoFFFoEooooGGHHoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,F<1,Dv3,E>1,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<1,D<1,Ev2,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: BBBoCoooAACDooEoCDFFEooDooGoHHooGooo
Optimal length (moves): 11
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,B>3,A<2,E^2,G^2,H<4,Dv1,Dv1,Dv2,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,Ev1,E<2,G^3,H<1,Dv4,G>1,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,G<3,Dv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
J<1,K<1,L<1,Fv2,A>2
</answer>


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F>2,Bv3,E<2,Bv1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,D>1,E^4,A>1,D^2,F<3,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: ooooBoCoAABoCDooBECDFFFEoooGGGoHHoII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,H<2,I<2,Dv1,A>3
</answer>


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
A>3,H^3,I<1,J<1,K<1,Fv3,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
J>1,L<2,Fv2,F<1,G<1,Cv2,A>2
</answer>


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

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


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

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


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

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


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


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
G>1,Dv2,I>2,Cv2,D<2,Bv1,A>2
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,F<2,G<2,Dv1,A>3
</answer>


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,Ev1,A>1,Bv3,D<3,G^1,H^1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D^1,F^2,G<4,Bv1,Bv1,Bv1,A>4
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
Jv1,Dv2,Jv1,Dv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F^1,G>2,H^1,I>1,J<1,Bv4,A>1,E>1,F^2,G<3,Bv2,Cv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,A>3,F^2,H<1,I<1,Dv3,A>1
</answer>


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F>1,H^3,G<1,I<3,J<1,Bv3,E<1,Bv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,Bv3,B<1,C^1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<3,F^3,G<1,Dv4,F>1,Cv2,A>3
</answer>


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
D^2,Ev1,E<3,G^1,H^1,I^1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<3,F^1,G^1,H<4,Ev1,Ev1,Ev1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<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: oBooooCBDDDoCoooooCooEFooAAEFooooEFo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv1,Fv1,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: oooooBoooAABCCCooBDEEoooDFFGGGDooooo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,A<2,E^3,F^3,G<2,Dv3,F>2,Bv2,Bv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,H<2,Gv1,Cv1,A>4
</answer>


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

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


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

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

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


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

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


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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H<3,Bv3,D<1,Bv2,A>3
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,F<1,Bv2,I<2,Gv1,Bv2,A>4
</answer>


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
F<1,J<1,Hv1,Cv2,A>2
</answer>


Board size: 6x6
Board: BBBoCoDoAACoDoEooFoGEHHFoGEIoFoJJIKK
Optimal length (moves): 17
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv3,A<2,E^2,G>1,I^3,H<1,Cv2,B>3,E^2,J>1,Gv1,G<3,Bv2,Cv1,Cv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
K>1,Dv2,E<1,Bv1,A>3,C^1,F<1,Cv1,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,K<1,Gv1,Dv1,A>3
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,D^3,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: ooooBCDDDoBCoAAooCEFFGGGEooooooHHooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,F<1,Cv3,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H^1,J<1,Gv2,Cv2,A>4
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
Ev1,Ev1,I<1,Dv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
I>1,H>1,Ev1,E<2,Cv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<3,Cv2,G^2,H<1,Cv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,G^3,H<1,Dv3,G>1,Cv2,A>4
</answer>


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

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

<think>
Shortest path found.
</think>
<answer>
J>1,Fv2,G<1,Dv1,A>1
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


Board size: 6x6
Board: BoCDDDBoCoEFBoCoEFGHAAoFGHIIJoooooJo
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>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G>2,H<3,Ev2,E<2,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev2,F<3,Cv2,I<1,Cv2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,K>1,Hv1,H<2,Dv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F^2,G<1,Ev2,A>3,Cv1,C<1,E^1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
F<2,Ev2,G<1,H<1,Dv2,A>2
</answer>


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

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

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

<think>
Shortest path found.
</think>
<answer>
Cv1,G^1,I<2,Gv1,Bv1,A>3
</answer>


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

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


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

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


Board size: 6x6
Board: oooBBBooCoooooCoooAACooDoooooDoooooD
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^3,A>1
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^1,E^1,H>2,I^3,J<1,K>2,Hv1,H<3,Cv2,Cv1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<1,C^2,D^2,E<4,Bv3,Bv2,Bv2,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,I<2,Gv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,D>2,A<2,Bv3,B<2,C<2,E^3,F^3,H>2,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: BAACoDBooCEDBoFFEDoGHoIIJGHKooJGHKoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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