<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7dadd666ca10>

Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [8, 0, 3, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [4, 0, 5, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 4, 8, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 1, 4, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [5, 0, 6, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 4, 4, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 0, 1, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [7, 5, 2, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [8, 1, 4, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 4, 0, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [7, 4, 2, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [4, 6, 1, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [1, 1, 8, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 1, 1, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [2, 0, 0, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [2, 8, 5, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [5, 6, 1, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 1, 6, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 5, 4, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 0, 2, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 0, 2, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 4, 2, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 5, 1, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 0, 4, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [5, 1, 1, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [4, 1, 7, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 5, 4, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 0, 0, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 0, 1, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [4, 4, 0, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [3, 0, 4, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [2, 7, 1, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [7, 6, 1, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [2, 0, 5, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [1, 4, 2, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 6, 9, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 0, 6, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [2, 8, 1, 6])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [7, 0, 1, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 5, 4, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [1, 6, 2, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [7, 4, 4, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 0, 1, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [2, 0, 4, 5])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [7, 1, 4, 0])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [4, 1, 2, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 0, 2, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 4, 4, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 0, 4, 1])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 0, 1, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [8, 4, 1, 7])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [4, 6, 5, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [0, 0, 2, 8])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.


Prompt:
You see a broken matchstick equation.
Your goal is to fix the equation by moving ONE match per action.
You see an image of the equation.

Symbols are indexed 0..N-1 from left to right (N = number of symbols).

Available actions:
1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:
   • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx
   • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})
   • The move must result in valid symbols at BOTH positions.
2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`
3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`

Success: The submitted equation must be mathematically correct (evaluated as lhs == rhs).

Segment legend (indices depend on symbol):
  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'
  7    : plus vertical stroke (used by '+')
  8    : the multiply sign that goes from top left to bottom right
  9    : the multiply sign that goes from top right to bottom left
  11,12: equals upper/lower bars (used by '=')
A segment is valid for a symbol only if the resulting set of segments maps to a known glyph.

Please respond with exactly one action and its arguments in the specified format. For example:
- To move a match: `('move', [0, 6, 2, 0])`
- To undo: `('undo', 'undo')`
- To stop: `('stop', 'stop')`

Verbalize your reasoning in <think>…</think> and give the final result in <answer>…</answer>.
This is step 1. You are allowed to take 499 more steps.

<think></think><answer>('move', [6, 0, 0, 4])</answer>

Prompt:
Environment feedback: Action executed successfully.

This is step 2. You are allowed to take 498 more steps.