You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooBBBoAACooDDCooooEEFFGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBoDCoEFDCoEFGGHHIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCAAoDCEooDoEFFoooGGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCDDBEooFFEGGoHIIJJH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBCoAABCoDDDooEEEoooFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCDAAECDooECDoFEoooFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBoCCCBoDDoEoFFoEooGGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBCoDoBCoDEFFFGEAAoGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BBBooCAADoCEEDFCGGDFoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBDDDCBoEFFGHEooGHooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCoooBCDoEAADoEFFGGoHHIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBAAoCDEooCDEooFFooGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCoDDDCAAoEFGHHEFGooII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABooCCBDDooBoooEEFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDDEBCooEBCFFEoooooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCAADECFoDECFGooooGooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCoDEBCoDEoCoFFFoGGoHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBAACooDDCoEooCFEoGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBoCCCBDEEFGDooFGooHHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Gv1,Bv1,A>3
</answer>


Board size: 5x5
Board: oAABCDDDBCooEEooooFoGGoFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCooDBCAADBoooDoEEEoooFFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDDoBCEEoBoooFooooFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oAABCDoEBCDoEBooFEoooFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: BBBooooCCCoAADEoooDEoooFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBDDECFooEGFHIIGoHoJJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<1,Gv1,Cv1,A>2
</answer>


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AABooooBCCDDEFFooEoGooooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCAADBCoEDFFoEGHooEGHoIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBoCCCBoDEEEoDFFGooHHGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBooCoBAACDBoooDEoFFDEGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBooCDooECDFGEAAFGEHHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCDoAACDoEEEoFoGGoFHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDEEBCDoFooDoFooGGGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDooBCDEFooDEFoAAEFoGGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAooBCCCoBoDDDEFooGEFHHGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBooAACoDDoCoEoFFGEHHoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDoBoCDooooDEEooooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCooBoCoDEFCoDEFooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBooCDBAACDooEEFFFooGGHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCCoBDEFGGDEFHIDooHI
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCAAooCoDDDCEoFFFEooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBoCoDBECFDBEoFooEGHAAoGH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BoAACBDEoCBDEoCoDFFFGGHHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDEBCFoEooFooGGFoHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooBoooCBDAACoDoEEoFoGGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDDDBCEFooGEFoHGoIIHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv1,Gv1,Bv1,A>3
</answer>


Board size: 5x5
Board: BAAoCBDDECBFFEGHooEGHIIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBAAoCDDEECFFGGCooHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCCCBDoEEEDFFFGooooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooCoBAACooooDDoEEooFFFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BCCCoBooooooDEFAADEFoGGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooooBoCoDDoCooEFGooEFG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDooBCDoooooEoooFEoAAFEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCoooBCDDoBoEEEoFGGHHF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCDDDoCoAAEFoooEFooGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoCCCBoooDDoooEEEooFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooooBBBCooDECAADEFFoDo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCDBAAEDoooEDFFoEoGGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oooooBCoDoBCEDooCEFoAAEFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoooAACDEEECDooFooGGFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCAADBCEFDBoEFGHooFGHoIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACoBDDCEFGGHEFIIHooJJJo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBCoooDCEooDFEAADFGGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDoBCooEEEoFGGHoFIIH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCoDDBCEooBFEoooFEGGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBDDCoEEFFGGoHIJJoHI
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCoDoBCEDoFoEDoFGHHooG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Fv1,Bv1,A>2
</answer>


Board size: 5x5
Board: AAooBCCooBDoooBDooEEFFFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBoCCoBDEFFGDEHoGDoHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCDDDBCoEEEFGGoHFoIIH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBCDDDBCEEFGHIIFGHJJoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oBBBCAADoCEEDFoGGoFooooHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCoAAoCDEFGCDEFGooooHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooCCBDDEoBooEoFFoGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBCoooBCDooBoDEoooFEAAoF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AABoCooBoCDDoEoooFEGooFoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooAAoCoDDECoFFECoooGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCoBoDEFGoDEFGHHHIGAAoI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBooooBoCDEFoCDEFoGDoAAGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCDooBCDEEECFFFoGGoHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCooDBCAADooEEooFFGGoHHHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDDBoCoEooooEoFFGGHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oAABCDEoBCDEoBoDEooFGGHHF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDoEBCDoEoCAAFoGGGFoooHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oBooCoBDECAADEoFoGHIFoGHI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooBoAAoBoCCooDEoFFDEGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBooAABoCDDBECoFoEooFoGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCoooBCoooBooDoooEDFAAEoF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCoooBCDDoooEEooooFFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AABCoDDBCoooEEFGGGoFHHoII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCoooBCoDDBCEFGooEFGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: BBBooCAADoCEEDFCoGGFoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBoooCBDDDCoAAEFFFoEoGGHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooooBoAAoBoCooBoCoDDooEEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBCAADECFFDECGooEoGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCooDBCooDooEFDooEFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCoooBCoDDBoEEFFoooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooBooCDBAACDEoFGHEoFGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCAADBCooDoCooEFFFoEooGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCCDBEFFDGEoHHGEooII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCCoBDEFFGDEHHGoEIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAAoBoCCDBEooDFEooDFooGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABooooBCoDDBCEoFFoEGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBooCoDEFCGDEFCGoHAAooH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCCDDBoooEEooFFFoGGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooooBCDEFBCDEFBCGoFAAG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDDoBCoEFBooEFoooEGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooooBoCoDDoCoEFoCoEFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCooBDCoooDCEEEFooooFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AABooCCBoooDEEooDooFoDGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BAAoCBDDDCEEFFCGHoIIGHoJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABooCoBoDCoBoDEEEoDoFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBAAoCDEEoCDFoGCoFoGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDoBCoEEooFGoooFGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDDBoCoooECFGoEoFGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AAooBCCCoBooDDBoEEFFGGGHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBoCCCDEAAoDEooFFEGGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCDBEAADFEGoDFHGoooHoII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBooAABoooCCDDEEoFGHHoFG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAooBCCooBoDoEEoDooFGGGoF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBooCCBDDEEBFoGGGFoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCCooBooDDDooEEoFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBAACooDDCoooEEoFFFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooCoAADCEEoDooooDoooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoAACoDoECFDoEoFoGGHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBoooooCCCDoEAADoEooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooCCBoooDDoooEEFFoooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oAABoCCoBooDDDoEEoFFGGHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BBBooAAoCDEooCDEFFooGGHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oAABoCDDBECFFFEGHHHEGIIoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCooBDEEoFDGGHFIIIHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBoCCCBDDDEooAAEFFGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCoooBCoDDooEEFGHIIFGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooooBooAABCDoEECDFFFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoCDEBoCDEFGHDIFGHoIoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBooCCBDoooBDEoFFDEGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBoECDFGEoDFGoHHIIIJJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCDDDBCoEEEoFooooFGGHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoooBCDEEFoDooFGGHHooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDoBCEEoBoooooFoGGoF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AAooBoCCoBDEoFFDEGHHDoGII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCDBoAADBEEoDFoGGoFooHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDDDBCooooCoEoFAAEGFHHHG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDDDBCAAEooooEFFoGGHHIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCoBoooooAADEoFFDEoGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBoCoDAACoDEEFFoGGHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCDoEBCDoEoFDoEGFoHHGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCCooBDDEEFooGGFoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCoDAACoDoECooFEoGGFHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBCDoEoCDoEAAFooGGFHHoII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooBAAoCBoDDCEoFFCEoGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBAAooBCoDDDCooooEEEoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooBAACDBooCDooooooEEEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBEFCDBEFoDGHHHoGoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: BAACoBDoCEBDoCEoFFFEGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooBBBoCoDEoCoDEAAoDEFFFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBooCDooEooFGEoHFGIIH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oBooCoBAACooDDooooEEFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBooCoDEECoDoFFGGHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCooBDCooEDoFFEoGGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoAACBDEFCoDEFGHoEoGHoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCDoEFCDoEFGHoEIGHAAIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBCCCDBoAADEoFFFEooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCAAooCoDDECoFFEoooGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAAoBoooCBoDDCEFGGGEFoHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDEoBCDEoBooooFFoGGHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBCAADECoFDEooFooGGoHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCoBoAADEEFFDoooGGooHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBEECDFooCoFoGGoHHIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooBoAACBoooCBoooooDEEEoD
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCAADBCooDBoEEEFooGoFHHGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooCoBooCDooECDAAEoDFFFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BoAACBDDoCBoEEEFooGGFHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCoDDBCEFGHCEFGHIIoGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Hv1,Bv1,A>3
</answer>


Board size: 5x5
Board: AABooooBooCCDDoEEFooooFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoAACBoDDCBEooCoEoFFoGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBCCCDooooDEoAAoEFFFoE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCoooBCAADBEEFDoGGFDoHHII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoDDBCoEEoooFFGGGooHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBooooBCoDDDCEFoGoEFoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BCAADBCooDEooFFEGGooEoHHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDDBECoooEoooFFGoHHHG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AAoBoCooBDCEEFDCGGFHIIIoH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoCCCDoAAoDooooEEFFFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoDDBCEFGHCEFGHooFooII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,Hv1,Bv1,A>3
</answer>


Board size: 5x5
Board: BAACoBooCooDDCoooEEoFFFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBoDDCBEFGHoEFGHooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooCAADECFoDECFooEoFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCoooBCDEEoCDFFFoDooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BCAADBCEEDooFFFoooGHoooGH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooCDBooCDBoEEEoFFFGooAAG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBooCoDooCEDoFFEDGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBDEECBDFFCoooGGoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBooooBoooCCDDDoEFFooE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoAACBoooCooDDEFGGoEFHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoooCBDAACBDEEEFGGooFHHHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooAAooBCDooBCDoEECooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooooooAAoBCCooBoDDEEoFFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCDEEECDAAFGDHoFGoHooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoCCCBoooDEoooDEoooFEAAoF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCDBooEDoAAEooFFFGooooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoAAoCoDDDCooEEEooooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCoDoBCoDEoAAFEGGHFIooHoI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDEBCFFEBGooooGHHIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoCooDECAADEFFooGHHHoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAooBoCCCBooDDDoEFFooEoGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoCCDBEooDFEGGDFooHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBEECDFoGooFoGHHFooII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoCooBDCEoBDCEFFoooGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBCoAABCDEFFoDEGoHHoGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,Bv2,A>1
</answer>


Board size: 5x5
Board: AAoBCDDoBCEEooFGGooFHHooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCDEBFFDEGHHIEGooIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBCoDDBCooEECoFFoooGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AABoCoDBECoDoEFoooEFGGHHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: oAAoBoCCoBoDDEEFGGooFooHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDDBoCoooEEFFooGoHHHG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBCDAAoCDoooooooEEEooFFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCoDoBCEDFGHEDFGHooII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCDDBoCEEEoFGHooFGHo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBoooCBooDCEFoDoEFooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBooooBCoDoBCoDEEoFFGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoooCBoooCDooEEDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BBBCDAAoCDooEEDFFoooGGooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBooCoBoDCEFoDoEFGDHAAGoH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoooooooAACoDooCoDoEEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBoCAABoCooBDoEEoDoFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Bv2,Bv2,A>3
</answer>


Board size: 5x5
Board: BAACDBEFCDoEFCDoGGGoHHoII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBDoCEFDGHEFoGHoIIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooooBooooBCDEAACDEFFFDE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBooCCBoDDEEFooGoFooGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAoBooooBooCCCoDDDooEEFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCDDDBCEFFGHEoIGHJJIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBoAACDEEoCDFGGooFHHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCDDoBCoEEEFFFoGoHHoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDDoBCEooBoEFFooGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoooCCCDAAEFDGGEFDooHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBoCooDoCoEDFAAEDFGGHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoDDBCoEoooFEoGGFHHHII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: BAACDBoECDooEFoGGGFoHHooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BAAoCBDDDCoEEFFGHHoIGJJoI
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoooCBoAACDDDoooEEFFooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooAAoCooDDCooEECooooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooooBoooCCDEFooDEFooDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCoAAoCooDDDEEEFooGGFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBooCCBoooDDEEEoFGGooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBooCDoooEEFFFoGooooG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCDDDECoAAEooFGGHoFooH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooAABCoDoBCEDoFGEDoFGHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBoCCCoDDDoAAooEFFGGE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBDDoCBEEoFGHHoFGIIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABooooBCDoEECDoFFCDoGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBCooAACoooDDooooooEEFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBCDDEBCFFEBCoGGGoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCDEEBCDFGoCDFGHooFGHII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoCAADECoFDECGFDEoGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BBBCoAADCooEDCooEoooooFFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCDDDBCoEFFGHEooGHoII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDEFBCDEFooDoGHoooGHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBCCCoooDDDoEEEFoAAoFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBCCCoBooooooDEAAoDEooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoCCCBoDDDoEAAFGEooFGEHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoCCDBoEEDFGGooFooHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCAADBCEEDoFFGHIIIGHoooJJ
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
J<1,Hv1,Dv1,A>1
</answer>


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooAABoCDDBECoFGECoFGEoHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBoCCCDoAAoDEEEoFGGooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCDoBoCDEEoCoFFoooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBCooDBCooDoooEoAAFEoGGFE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCooDBCoEDoooEoooFEoooF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACoBDECoBDECooFFFGooooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBoooCBDooCEDoooEoFGAAoFG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoDoBCoDoooooEEEFoGGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AAoBCoooBCooDDooEEFFooGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAoBoCCoBDoEFGDHEFGoHIIoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Gv1,Bv1,A>3
</answer>


Board size: 5x5
Board: AAooBCCCoBDDEEFGGHHFooIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoooCBoAACDDDoCoEooooEoFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoooCCCDoooEDFFFEGooAAG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBoAAoBoCCCBooDDooEEFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoCCCBoDDDBEEEFAAooFooGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoooCBDDoCBoEooFFEGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooBoCCCBDoAAEDFFoEGooooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCDooBCDoEooDoEFooooFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDEBFCDEoFoGGGFHooIIH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooooBBBCAAoDCEooDFEoGGF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCDDBECFFFEGGooHHIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCooDBCEEDFCGGoFHHIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBooooBCoooBCDEEECDFFoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBCDoAACDoEECFFoGGoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooBCoooBCAAoDEFFFDEGGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAooBCDDoBCooEEoFGGooFoHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooooBoAACBDDDCEEoFFoGGGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBooCCBooDDDooEEEFFooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDooBCDEooAAEFGGHoFooHII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBoCCCBDDoEFGGoEFHHHEo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCDAAoCDEoFFGEoooGEoHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBCCCDoAAEDFFFEoooGGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCDooBCDooEoFFoEGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BCCCDBEEEDFoGGGFHooIFHAAI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooooAACoDDoCEoFFFEGGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCAADBCooDEFoGGEFHoIoFHoI
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBooCCBooooDoEEoDoooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDoEBCDoEFoGHHFoGIIoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDEEBCDFFBooGGGoHHIIo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCooDBCooDooEFFGGEooooE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCDDoBCooEECFFGooHHGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oBoooCBoDECoFDEAAFoEooooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooCoBooCooDEoFoDEGFAAEGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCCCBDDEEBFFoGGoHHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoCooBoCoDDoEFGGoEFHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCDEoBCDEooFFFooooGHAAoGH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBCCCoBAADooEoDooEFFoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCDDBEooFFEooGGEoHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBAAoCDEFFCDEGHCoEGHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooooooAAoBCDDEBCooEBCooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBoCooBoCoDEooFDEooFDo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBoCCoBDoEFFDoEooooooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCDoEFCDoEFCDooGoAAoGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCoooBCooDDEFGGHEFIIH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoCCCBoDoEFoDGEFoDGHFAAoH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDoBCoEooCFEoGGFEHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBoooCoDoEEoDoFGHHHFG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooAABCDooBCDEEBFDoGGFoooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoooCBDooCBDoEEEDooFF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BooooBoCoDBoCEDooCEFoAAoF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoooCBoDDCBoooEEooFFo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: BooooBAACoDEECFDoGGFoooHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoAAoCoooDCEFoDCEFoGGE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oooBoAAoBCooDBCEEDooooFFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBBBoCDEEECDAAFGGooFHHoII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoCCCBDooEoDFGEAAFGoHHIII
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCDooBCDooooDEFFFoEooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBooooBoooooCooAACDEFFFDE
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBCCDDBEEooFGHIJFGHIJo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBooCCBDooEEDFFFGHHHoG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoCCCBAAoDBoooDoEEFFoooGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBDDoCEoFFFEoGGoooHHo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooCoDDDCEAAFGEHHFGIIJJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooooBoCoDDoCEEFoCooFGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oAABCoooBCDoEEoDFFFoDoGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooBoCAABoCDDooEEFFoGGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoAACBDDoCEooFFEGGHHooIIo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCooDBCAADoCooDoEEoooFFGG
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoooCAADoCoEDFooEDFoGGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBoCDDBoCooEEFooooFGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooooooBCCCoBDEFooDEFoAAEo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBCCoDBEEEDFoGGoFHHHoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooBBBCooDoCAADoEoFFoEGGoo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCDEoBCDEFGoHoFGoHooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoCDAAoCDooECoFFEooooGG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCoDoBCoDoECFFoEoGGooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBoCooBDCoEEDCooFDGGGF
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoCCoBoooDDEFFFGEoHHGo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoooCBDEFCBDEFGGoHHHII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoAACBDDDCoEFGGHEFooHooII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BAACoBooCoBooDDEFFFGEoooG
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABoooCBoDECBoDEoFFooGGo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoooCBoDDCEooooEoooFF
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBooCCBDDoEEooFFFoGGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoCDoBoCDoEooFFEGGoHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCooDBCooDoCEEoFFooooo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBCDoEBCDFEBGHFEIGHJoIAAJ
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAAoBCDooBCDoEECDoFFoGGHH
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BoCCCBDooEBDooEAAoFEoGGFo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACoBooCooDDDEFoGHEFoGHE
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCDEFBCDEFoCoEFGooooGHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABooCCBDEooBDEoFFDoGGooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABooCDBoECDBFEoGGFHHooo
Optimal length (moves): 3
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAooBoCCCBoDDEEooFFFGGGoo
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABCCDoBoEDoFGEDoFGEoHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCDEoBCDEooooFGHHoFGIII
Optimal length (moves): 4
Return only the <think> and <answer> blocks.


Board size: 5x5
Board: AABoCooBDCoEEDoooFFFGGHHH
Optimal length (moves): 4
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AAoBCoDDBCEEEoFooGGFooHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBooCDEFoCDEFoGGoooHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABoCDDBoCooBoEFoooEFooGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBEECDFFooDooGHHooGII
Optimal length (moves): 9
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Cv1,F>1,Bv3,C<1,E<1,G^2,H<1,Bv1,A>2
</answer>


Board size: 5x5
Board: BAAoCBDEECoDFGGooFoHooIIH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBooCDDDoCEEEFoooGFAAoGF
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBCCCDBoooDAAEoFooEGFHHHG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoooBCDEFFGDEHHGooIIoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
Ev1,E<1,Bv1,Fv1,Bv1,A>3
</answer>


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: BBBoCDAAoCDEooooEFFFGGHHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDDoBCooEBCFoEGGFHHoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCDEoBCDEFoGHHFoGooIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BoAACBDDoCEoFGGEoFHHoIIoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooAABoCDoBoCDEEFGGooFHHII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACoBDoCooDEEoFGGoHFoooH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBooCooDEEFFDGGoHHoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oBAACoBooCDEEFGDoHFGooHII
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: ooooBoAAoBoCDDDECoooEFFGG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCDooBCDoEEooooooFGGHHF
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: 5x5
Board: AABCoooBCDEoBoDEFFoGHHooG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBCoooDCEAADFEGGoFHooIIH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
E^1,I<2,Ev2,Ev1,A>3
</answer>


Board size: 5x5
Board: BAACDBEFCDBEFCGoHHHGoooII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDDDBCooEFoooEFGooHHG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBoECDFGEHIFGoHIFGJJo
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

<think>
Shortest path found.
</think>
<answer>
G^1,Iv1,Dv1,J<1,Hv1,Cv1,A>2
</answer>


Board size: 5x5
Board: AABCDooBCDoEEoFGHIJFGHIJo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AABCDEEBCDFFBoooGGHHIIJJJ
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BBBoooCCCDoEFGDoEFGHAAoGH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoDDBCooEECoFooGGFoooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDoEBCDoEFFDooGGooHHo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCDEEBCDooFFDGGoooHHIII
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCoooBCDDoBEooFFEGGGoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: ooBBBAAoCDEEECDoFFFDGGoHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAAoCBoooCBoDoEFFDoEoGGHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: oBCCCoBooDoAAoDEFGGGEFoHH
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BAACDBoECDBoEFGoHIFGoHIoo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBCoDDBCEEoFGHHIFGooIJJ
Optimal length (moves): 7
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AABCoDDBCoEoFFGEHHIGoooIo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDEFBCDEFBGDoHHGIIoJJ
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: BCCCDBAAoDEEoooFGHHHFGoII
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: oAABCDEoBCDEoFFDoGGGHHHoo
Optimal length (moves): 6
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBoCooBoCoDDDEFFooEGGGo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


You are an expert Rush Hour (5×5) solver.

Input: 25-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: 5x5
Board: AABCDooBCDEooCoEoFFoooooo
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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


Board size: 5x5
Board: AAoBooooBoCDEFoCDEFGCDHHG
Optimal length (moves): 5
Return only the <think> and <answer> blocks.

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