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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
H>1,Cv1,C<2,E^1,F^1,K^2,K>1,L>1,Fv2,A>3,H^2,K<1,Gv1,A>1
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^2,D<2,E<2,H^1,K>2,Gv1,G<1,Cv2,A>2
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<2,G^1,H^1,I<3,Dv2,Ev1,D>3,Bv3,C<3,Bv1,A>4
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F<2,J^1,K<3,Gv1,Bv2,Gv1,Cv1,A>3
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,Bv1,Iv1,Bv1,A>3
</answer>


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

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


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

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


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

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

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


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

<think>
Shortest path found.
</think>
<answer>
I^1,J^1,K>2,Hv1,Bv1,A>3,C^1,J^1,K<1,Gv1,Cv1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,D>1,E^3,Fv1,F<3,Dv1,H<1,Cv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>1,Bv1,B<2,D^1,A>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: oooBBBooCCCooDDDEoooooEoooAAFoooGGFo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
J>1,I>1,Bv4,A<2,C<1,D^1,E^2,F<4,Bv2,Bv1,Bv1,A>4
</answer>


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

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


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

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

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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I<1,Ev2,F<1,Bv1,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv3,B>2,C^2,Dv2,A>4
</answer>


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

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


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

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


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

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


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

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

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

<think>
Shortest path found.
</think>
<answer>
E^1,I<1,J<1,Hv1,Bv1,A>2
</answer>


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

<think>
Shortest path found.
</think>
<answer>
H^1,I^1,L<2,Hv1,Bv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
G<1,I<2,Dv3,Ev2,A>2
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
F^3,G<2,Cv4,Dv2,D>3,Bv2,A>3,C^1,D<1,Bv2,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv2,A<1,C<1,G^3,I<1,Gv2,G<3,Bv1,Bv1,A>3
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Bv1,B<1,A<1,E^3,F<3,Cv2,Dv1,A>3
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,Dv1,D<1,G^3,H<1,Dv3,G>1,Cv2,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Iv1,K<1,Dv2,F<2,Bv2,Bv2,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Hv1,Cv1,Hv1,Cv1,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,G^1,H^2,I<3,Dv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
A>2,D^2,E<1,Dv2,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: oooooooBBBoooooCooAADCooooDCEEooFFoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
E<1,F>1,G>1,H^3,G<1,I<3,Cv4,G<2,Cv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Fv1,E>2,Bv3,D<1,Bv1,A>4
</answer>


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

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


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

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


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

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

<think>
Shortest path found.
</think>
<answer>
Bv3,C<3,Fv1,Bv2,A>4
</answer>


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

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


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

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


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

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


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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,J>1,Bv3,E<1,F<1,Dv2,A>2
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<2,D^3,E<4,Cv3,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: oooooBAAoooBCCoooBoDEFFFGDEoHHGDIIoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D<1,Bv2,Fv1,Bv1,A>4
</answer>


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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,K<1,Hv1,Cv1,A>3
</answer>


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

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


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

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


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,I>1,Dv2,D<2,Cv1,A>3
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,Dv2,D<3,Cv1,A>3
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


Board size: 6x6
Board: oooBooAAoBCoDDooCoEooFFFEoooooEooGGo
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,Cv2,Cv1,A>3
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E^1,F<1,G<1,I<1,Ev3,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: AAoBCoDDoBCoEooFFFEooGGoEooooooooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

<think>
Shortest path found.
</think>
<answer>
B<2,Dv1,D^2,G<1,I<1,Dv3,A>4
</answer>


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
D^1,F<1,Bv3,A>3,D^3,E<1,Dv3,A>1
</answer>


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv1,B>1,A>2,F^2,I^2,J<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: oAAoBCDDooBCoEEFBGHooFoGHooFIIHJJKKK
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
H>1,Dv1,I>3,Ev2,F<1,Bv2,A>3,D^2,F>1,H^2,I<3,J<3,Fv2,G<1,Dv1,A>1
</answer>


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv2,F^1,H>1,Bv2,A>4
</answer>


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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
E<2,G<1,Cv2,B>3,F^3,G<3,Bv2,Cv1,A>4
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Cv3,C^1,E>2,Bv3,D<2,Bv1,A>3
</answer>


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

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


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

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

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

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


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

<think>
Shortest path found.
</think>
<answer>
I^1,J<1,Iv1,Dv1,A>1
</answer>


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
B^2,D^3,D>4,E^1,F<2,Bv3,A>1,C^3,A<1,D^3,E<3,Cv3,Cv3,A>3
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
I^2,J<2,Ev1,Hv2,Dv2,A>3
</answer>


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv1,J<2,Iv1,Cv1,A>3
</answer>


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

<think>
Shortest path found.
</think>
<answer>
A>1,Bv2,B<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: ooBoooCoBoDoCoAADoCEooDoFEoGGGFEoHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,Iv1,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: BCCCooBDDDoooEEEoFoooGoFoAAGoooooGoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
A<2,E^1,G<2,Dv3,Dv1,F>1,Cv1,A>4
</answer>


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

<think>
Shortest path found.
</think>
<answer>
Gv1,F>3,Bv4,D<3,E<3,Bv2,Bv2,A>4
</answer>


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
C^1,D^1,E<3,Cv2,Cv1,A>4
</answer>


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
G^3,G>2,H<3,Bv3,A>1,E^3,A<1,F^3,G<3,Cv3,Dv3,A>3
</answer>


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

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


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

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


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

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


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

<think>
Shortest path found.
</think>
<answer>
Dv2,Dv1,A>3,E^1,G<1,Ev1,A>1
</answer>


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

<think>
Shortest path found.
</think>
<answer>
I<2,Dv3,Dv1,E>1,H>1,Bv2,A>4
</answer>


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

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


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

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

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

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


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

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


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

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


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

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


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

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


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

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