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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
C^1,Fv1,A>3,F<1,Bv2,C<1,E^2,A>1
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F>1,G<1,Bv4,E<1,Bv1,A>3
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
A>1,Dv1,F>1,G^3,H<1,Cv1,Iv1,Cv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,Bv1,A>3,C^1,H^1,I<1,Hv1,Cv1,A>1
</answer>


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

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


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

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


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

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


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

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


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,A>3,J^2,K<1,L<1,Fv3,A>1
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,D>3,E<1,Bv2,A>3,C^2,D<1,Cv2,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,Bv3,B>2,C>3,D^3,A>3,Bv3,B<1,C<1,E^3,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: ooBBBCoAADoCEEoDFFGooDHIGJJoHIooooHo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,E<1,Iv1,Cv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,G<2,Dv2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,H>1,Bv3,C<3,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: oAAoBooCooBooCDDEEoFGGGHoFIJJHoFIooH
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<2,H<2,Dv2,E<2,Bv3,C<2,Bv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<3,Fv2,H<3,Ev2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^2,Ev2,A>3,Cv2,C<1,E^2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Dv1,G<2,H<2,Cv1,A>3
</answer>


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,Fv1,F<2,G<2,Dv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,E<2,Cv2,Cv2,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,G^1,I<1,J<1,K<1,Dv3,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: ooooooooooooBooCCCBooDooBAADoEoFFDoE
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^2,G<2,H^1,I^1,J<2,Fv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,I>2,Dv2,F<1,Bv2,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^1,I<1,J<1,Hv1,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: oooooooAAoBoooCoBoooCDDoooCooooooEEE
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<1,C^2,D<3,Bv2,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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

<think>
Shortest path found.
</think>
<answer>
A<1,G<2,Cv3,C<1,Dv2,D^3,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,A<1,G^3,H<1,Dv4,G>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: BCoDDDBCooooBCoooooAAoEoooFFEooGGGEo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,A<2,Bv3,B<1,C^3,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,A>1,F^1,I<2,Fv1,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: oBBBoooCoDDDoCooEoFoooEGFAAoEGoooHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,Bv2,Gv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
I>1,Fv2,F<2,Dv2,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>1,G>1,Cv2,A>2,F^4,A<2,E^2,G<3,H<4,Dv2,Dv2,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: ooBCCCAABooDoEEFoDGGGFoDoooHHoooIIIo
Optimal length (moves): 12
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E<1,Bv1,B<1,D^1,F^1,G>3,I>1,Dv3,F<3,Cv2,Cv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,E^2,F<1,K<1,Iv1,Dv2,A>1
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,B>1,C^2,H<1,Dv1,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B^1,C^1,D<3,E^4,E>3,G>3,Bv3,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: BCDDDoBCEEEoBooFFFGHIIIoGHooJooAAoJo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,G<2,Ev2,A>2,Bv2,B<1,E^3,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
G^3,I<3,Gv2,A>3,Cv2,C<1,E<1,G^3,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<1,F^1,H^1,I<2,J<2,K<2,Fv3,H>2,Dv1,Dv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<1,E<1,G<1,I^3,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: AAooBCDEEoBCDoFoBoDGFHHHoGoIJJoGoIoo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,D<1,F^3,G<3,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,A>1,F^2,H<1,Cv2,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E<1,Bv4,Ev1,E<2,Bv2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A<2,H^2,I<3,Ev2,Ev1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
E^1,G<3,Ev2,E<3,Cv2,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: AAooBCDDEoBCooEoBCooEoFFGGHooIJJHooI
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,Dv2,F<2,Bv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<3,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: ooBCooooBCDooAACDoEEEoDoooFFFoooooGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
F<2,G<3,Cv3,Cv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^2,F<2,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: oooBBBoAAoCooDEECooDFFCoGGoHIIoooHoo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>1,A>1,Ev2,E^3,F<3,Dv2,Dv1,A>3
</answer>


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Fv2,F^1,H<2,Bv1,A>4
</answer>


Board size: 6x6
Board: ooAAoBoooooBCCCooBDEEFFFDGGoooDooHHH
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,Cv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,E>1,G^2,H<1,J<1,Gv2,Cv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,A<1,E^2,F>3,G^4,G<2,H<1,J<2,Ev3,Ev3,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<1,E<1,F<1,G^3,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: ooooBoooooBoCAAoBoCDEEEFCDGGGFoooHHF
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,H<3,I<2,Ev2,F<2,Cv3,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D^3,E<1,F<1,Cv2,A>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: AAooBCooooBCDDDooCoEEEFFGGGHHooIIIoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
B>2,D^1,G^1,J<2,Fv1,A>2
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Hv1,G>1,Bv1,A>3,D^1,G<1,Cv1,A>1
</answer>


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

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


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
B>1,D^2,F<3,G<1,Ev2,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<2,Cv2,C^1,G^1,I>3,Dv1,Dv1,D<4,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<1,G<1,H<1,Dv3,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: oAABoCDDDBoCooEEoFoooGoFHooGoFHooGoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<2,H<3,Bv4,E<2,Bv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
B>1,G^1,I>2,Cv3,A>1,F^2,G<3,Dv1,Dv1,H^2,I<1,Dv1,A>3
</answer>


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

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


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

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


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

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

<think>
Shortest path found.
</think>
<answer>
A>1,I^1,L<1,Fv2,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
C<2,D<1,E^2,K<1,Fv1,A>3
</answer>


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

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


Board size: 6x6
Board: ooooBoooooBooAAoBooCDDEEoCoFoooCoFoo
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,Cv3,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,D^1,Ev2,E<3,Cv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G>3,Cv2,Cv1,C<2,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: ooooBoCAAoBoCDooBoCDoEEEoDFFoGoooooG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,Cv1,C<2,Bv2,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<2,Bv1,H<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: oooBBBoooCoDoAACEDFFGCEHooGoEHooGooH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,Fv2,F<1,H^3,J>1,Hv1,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: ooAABoCCooBooDoEEEFDoGGHFIJoKHFIJoKH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C<2,E^2,I>3,Ev2,Ev1,E<3,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv1,Hv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,A<3,D^1,E^1,Fv1,F<4,Bv1,Bv1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D<2,F^3,F>3,Bv4,E<3,Bv2,Bv2,A>4
</answer>


Board size: 6x6
Board: oBAAoCoBDooCooDEECFoDGGGFooHHHFIIIJJ
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>


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

<think>
Shortest path found.
</think>
<answer>
H^1,I<2,Hv1,Bv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,B>3,A<1,E^3,F<3,Bv2,Cv1,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,E^1,F>1,G^1,I<2,J<2,Dv3,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: ooBoooooBCCCooooDooAAEDooFFEoooGGEoo
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Dv2,A<1,E<1,G<1,Bv4,B<3,C^3,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F>3,Bv3,C<3,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: ooooooooBCCCooBoooooAADoooooDEFFFoDE
Optimal length (moves): 8
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
A<2,Bv1,B<2,D^3,E^3,F>3,Ev2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>2,Bv2,B<1,E^3,Fv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Cv1,I>1,Ev1,E<2,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Ev1,D>3,A<2,Bv3,B<2,C<2,E^3,D>2,E^1,A>3,Dv1,D<1,F^2,A>1
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,C^1,E^2,J^2,K<1,L<1,Ev2,F<2,Dv1,A>2
</answer>


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
J>2,Dv2,Dv2,F<2,Bv1,Bv1,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,F^2,G<1,Fv2,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: AAooBoooooBoooooBoooCoDoEoCoDoEoCFFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
F^2,I<1,J<2,Ev2,E<1,Cv1,A>2
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
I<1,Ev1,Jv1,Dv2,A>2
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<3,D^2,E<1,G^1,H>3,Dv1,A>4
</answer>


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,I^1,K<1,Ev2,A>4
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,H<1,I<1,Fv3,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,H^2,I<1,Fv1,F<1,Cv2,A>3
</answer>


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

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


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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,Cv2,F<1,Bv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev2,Ev1,E<3,Bv1,Bv1,I<1,Bv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
D<3,E^2,F<3,Dv1,G<1,Cv3,A>4
</answer>


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

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

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

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