Maze_image
imagewidth (px) 640
640
| Prompt
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| Cot_Response
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| Response
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You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|down|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|right|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|down|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|down|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|left|>
Step 6: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|up|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|left|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|down|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|left|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|left|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|up|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|right|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|up|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|left|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|up|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 16: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|right|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 17: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|right|><|1-2|><|down_right_wall|><|target|><|1-3|><|up_left_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|down|><|right|><|down|><|down|><|left|><|up|><|left|><|down|><|left|><|left|><|up|><|right|><|up|><|left|><|up|><|right|><|right|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
| Step 1: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|down|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|left|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|left|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 4: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|left|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|down|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|down|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 7: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 8: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|right|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 9: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|right|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 10: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|up|><|4-4|><|down_left_right_wall|><|blank|>
Step 11: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|right|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 12: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|up|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 13: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|origin|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|left_right_wall|><|up|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|> | <|down|><|left|><|left|><|left|><|down|><|down|><|right|><|right|><|right|><|up|><|right|><|up|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|target|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
| Step 1: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|target|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|left|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|target|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|target|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|down|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|target|><|4-3|><|down_right_wall|><|blank|><|4-4|><|down_left_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|target|><|4-3|><|down_right_wall|><|left|><|4-4|><|down_left_right_wall|><|blank|> | <|down|><|left|><|down|><|down|><|left|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|left|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|up|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|left|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|down|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|left|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|down|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|left|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|up|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|up|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|up|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|up|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 16: Go right
<|0-0|><|up_left_wall|><|right|><|0-1|><|up_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|right|><|down|><|down|><|down|><|left|><|up|><|left|><|down|><|left|><|down|><|left|><|up|><|up|><|up|><|up|><|right|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|up|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|right|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|down|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|down|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|right|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|right|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|up|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|left|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|up|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|right|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|left_right_wall|><|origin|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|up|><|right|><|down|><|down|><|right|><|right|><|up|><|left|><|up|><|right|><|right|><|down|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|origin|><|4-4|><|up_down_right_wall|><|target|>
| Step 1: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|right|><|4-4|><|up_down_right_wall|><|target|> | <|right|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|down_left_wall|><|origin|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|target|>
| Step 1: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|down_left_wall|><|right|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|target|>
Step 2: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|down_left_wall|><|origin|><|2-4|><|up_right_wall|><|down|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|target|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|down_left_wall|><|origin|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|down|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|target|> | <|right|><|down|><|down|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|right|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|right|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|down|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|left|>
Step 5: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|left|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|left|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|up|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|up|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|right|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|right|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|right|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|right|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|up|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|target|><|1-4|><|right_wall|><|left|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|right|><|right|><|down|><|left|><|left|><|left|><|left|><|up|><|up|><|right|><|right|><|right|><|right|><|up|><|left|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|right|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|up|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|down|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|left|>
Step 9: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|up|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|left|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|left|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|down|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|left|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|up|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_right_wall|><|target|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|up|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_wall|><|blank|><|3-3|><|up_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|right|><|up|><|right|><|down|><|down|><|down|><|down|><|left|><|up|><|left|><|left|><|down|><|left|><|up|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|right|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|up_right_wall|><|down|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|right|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|down_left_wall|><|origin|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|right_wall|><|up|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|right|><|down|><|right|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|origin|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|left|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|origin|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|origin|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|down|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|origin|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|right|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|origin|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|right|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|origin|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|down|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|target|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|left|><|down|><|down|><|right|><|right|><|down|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
| Step 1: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|right|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|right|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|right|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|up|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 5: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 7: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 8: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 9: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|blank|><|3-4|><|down_right_wall|><|left|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|>
Step 10: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|origin|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|left_wall|><|down|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|target|><|4-4|><|up_down_right_wall|><|blank|> | <|right|><|right|><|right|><|up|><|right|><|down|><|down|><|down|><|left|><|down|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|left|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|down|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|right|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|left|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|left|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|down|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|left|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|up|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|origin|>
<|1-0|><|left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|target|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|up|><|3-2|><|up_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|left|><|down|><|right|><|down|><|left|><|down|><|left|><|down|><|left|><|up|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|down|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|down|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|right|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|up|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|up|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|right|><|2-2|><|down_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|down_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|target|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|origin|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|up|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_left_wall|><|blank|><|3-3|><|up_down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|down|><|down|><|right|><|up|><|up|><|right|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|origin|><|4-4|><|down_left_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|up|><|4-4|><|down_left_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|right|><|3-4|><|right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|origin|><|4-4|><|down_left_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|right_wall|><|up|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|origin|><|4-4|><|down_left_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|up|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|origin|><|4-4|><|down_left_right_wall|><|blank|>
Step 5: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|up|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|origin|><|4-4|><|down_left_right_wall|><|blank|>
Step 6: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_right_wall|><|blank|><|0-3|><|up_left_wall|><|target|><|0-4|><|up_right_wall|><|left|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|down_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|down_right_wall|><|origin|><|4-4|><|down_left_right_wall|><|blank|> | <|up|><|right|><|up|><|up|><|up|><|left|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|down_right_wall|><|origin|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|down_right_wall|><|up|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|target|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|left_right_wall|><|up|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|down_right_wall|><|origin|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|up|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|down_left_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|down_left_wall|><|up|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|left_wall|><|up|><|2-3|><|up_down_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|down_left_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|up|><|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|up|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|right|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|up|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|up|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|right|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|down|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|right|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|left|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|down_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|down_right_wall|><|origin|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|right|><|3-4|><|up_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|up|><|right|><|up|><|up|><|right|><|down|><|right|><|down|><|left|><|down|><|right|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|up|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|down|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|down_left_right_wall|><|origin|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|blank|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|target|><|4-4|><|down_right_wall|><|left|> | <|up|><|right|><|down|><|down|><|down|><|down|><|left|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|up|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|up|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|right|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go right
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|right|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|down|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go right
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|right|><|1-4|><|up_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go down
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_down_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|up_down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|up_right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|origin|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|target|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|up|><|up|><|right|><|right|><|down|><|right|><|down|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|target|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|down_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
| Step 1: Go up
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|target|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|up|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|down_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|up|> |
|
You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
| Step 1: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|down|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|right|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|up|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 4: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|right|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 5: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|up|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 6: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|right|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 7: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|right|><|2-4|><|right_wall|><|blank|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 8: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_wall|><|blank|><|2-2|><|up_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|right_wall|><|up|>
<|3-0|><|left_right_wall|><|origin|><|3-1|><|up_left_wall|><|blank|><|3-2|><|down_right_wall|><|blank|><|3-3|><|up_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_right_wall|><|blank|><|4-2|><|up_down_left_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | <|down|><|right|><|up|><|right|><|up|><|right|><|right|><|up|> |
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