Prompt
stringlengths 1.58k
1.61k
| Cot_Response
stringlengths 12.9k
16.7k
| Response
stringlengths 111
156
| conversations
listlengths 2
2
|
---|---|---|---|
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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|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_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|left|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|up|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|up|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|left|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|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_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|left|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|up|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|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_right_wall|><|left|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go down
<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|down|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|down|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|down|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_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|><|right|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|down|><|down|><|left|><|up|><|up|><|left|><|left|><|up|><|left|><|down|><|down|><|down|><|down|><|right|><|right|> | [
{
"content": "You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens. \n The tokens represent:\n - Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)\n - Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.\n - Origin: <|origin|>\n - Target: <|target|>\n - Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>\n\n 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.\n MAZE:\n <|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|left|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|up|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|up|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|left|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|left|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|up|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 9: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|left|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go down\n<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|down|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|down|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 13: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|down|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 14: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 15: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|origin|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|right|><|4-2|><|down_right_wall|><|target|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|down|><|down|><|left|><|up|><|up|><|left|><|left|><|up|><|left|><|down|><|down|><|down|><|down|><|right|><|right|>",
"role": "assistant"
}
] |
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_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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 left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|left|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|down|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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 down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|down|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|right|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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 down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|down|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|left|>
Step 9: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|up|><|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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|left|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_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 left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|left|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|up|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|up|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|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_down_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|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|right|><|down|><|left|><|down|><|down|><|right|><|down|><|left|><|left|><|up|><|left|><|left|><|up|><|up|><|up|><|right|> | [
{
"content": "You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens. \n The tokens represent:\n - Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)\n - Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.\n - Origin: <|origin|>\n - Target: <|target|>\n - Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>\n\n 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.\n MAZE:\n <|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|right|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|down|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|left|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|down|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|down|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|right|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|down|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|left|>\n\nStep 9: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|up|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|left|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|left|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 13: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|up|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 14: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|up|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 15: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|up|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 16: Go right\n<|0-0|><|up_left_wall|><|right|><|0-1|><|up_down_right_wall|><|target|><|0-2|><|up_left_wall|><|blank|><|0-3|><|up_down_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_down_left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_down_wall|><|blank|><|2-2|><|up_down_right_wall|><|blank|><|2-3|><|left_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_right_wall|><|blank|><|4-2|><|down_left_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|right|><|down|><|left|><|down|><|down|><|right|><|down|><|left|><|left|><|up|><|left|><|left|><|up|><|up|><|up|><|right|>",
"role": "assistant"
}
] |
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|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | Step 1: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|down|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|left|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|up|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 4: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|left|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|down|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 7: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|down|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 8: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|right|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 9: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|down|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_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|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|right|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 11: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|up|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 12: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|up|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 13: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|right|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 14: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|right|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 15: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|down|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 16: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|left|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | <|down|><|left|><|up|><|left|><|down|><|down|><|down|><|right|><|down|><|right|><|up|><|up|><|right|><|right|><|down|><|left|> | [
{
"content": "You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens. \n The tokens represent:\n - Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)\n - Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.\n - Origin: <|origin|>\n - Target: <|target|>\n - Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>\n\n 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.\n MAZE:\n <|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|down|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|left|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 3: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|up|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 4: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|left|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 5: Go down\n<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 6: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|down|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 7: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|down|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 8: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|right|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 9: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|down|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 10: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|right|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 11: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|up|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 12: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|up|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 13: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|right|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 14: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|right|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 15: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|down|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 16: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_wall|><|origin|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|up_down_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|down_left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_down_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_wall|><|blank|><|3-1|><|up_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|up_down_left_wall|><|target|><|3-4|><|down_right_wall|><|left|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n</think>\n\n<|down|><|left|><|up|><|left|><|down|><|down|><|down|><|right|><|down|><|right|><|up|><|up|><|right|><|right|><|down|><|left|>",
"role": "assistant"
}
] |
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|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go right
<|0-0|><|up_left_wall|><|right|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|right|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|right|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go right
<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go left
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|left|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go down
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|down|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go left
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|left|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go up
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|up|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go left
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|left|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go down
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|down|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go left
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|left|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go down
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|down|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go down
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_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|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go right
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 16: Go right
<|0-0|><|up_left_wall|><|origin|><|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|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_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_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|right|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|right|><|right|><|right|><|right|><|down|><|left|><|down|><|left|><|up|><|left|><|down|><|left|><|down|><|down|><|right|><|right|> | [
{
"content": "You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens. \n The tokens represent:\n - Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)\n - Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.\n - Origin: <|origin|>\n - Target: <|target|>\n - Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>\n\n 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.\n MAZE:\n <|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go right\n<|0-0|><|up_left_wall|><|right|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go right\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|right|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go right\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|right|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go right\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|right|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go down\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|down|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go left\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|left|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go down\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|down|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go left\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|left|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 9: Go up\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|up|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go left\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|left|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go down\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|down|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go left\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|left|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 13: Go down\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|down|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 14: Go down\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|down|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 15: Go right\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 16: Go right\n<|0-0|><|up_left_wall|><|origin|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_right_wall|><|blank|><|1-1|><|up_left_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|down_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|down_right_wall|><|blank|><|2-4|><|down_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|up_down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|up_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|right|><|4-2|><|up_down_wall|><|target|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|right|><|right|><|right|><|right|><|down|><|left|><|down|><|left|><|up|><|left|><|down|><|left|><|down|><|down|><|right|><|right|>",
"role": "assistant"
}
] |
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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_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|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|left|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|left|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|up|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|left|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_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|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|down|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|right|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_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|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|down|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|down|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|right|><|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_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|right|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|right|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|up|>
Step 14: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|up|>
<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_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_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|left|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 16: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 17: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|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|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|left|><|left|><|up|><|left|><|down|><|down|><|right|><|down|><|down|><|right|><|right|><|right|><|up|><|up|><|left|><|down|><|left|> | [
{
"content": "You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens. \n The tokens represent:\n - Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)\n - Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.\n - Origin: <|origin|>\n - Target: <|target|>\n - Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>\n\n 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.\n MAZE:\n <|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|left|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|left|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|up|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|left|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go down\n<|0-0|><|up_left_wall|><|down|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|down|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|right|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|down|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 9: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|down|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|right|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|right|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|right|><|4-4|><|down_right_wall|><|blank|>\n\nStep 13: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|up|>\n\nStep 14: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|up|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 15: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|left|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 16: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 17: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_wall|><|blank|><|1-3|><|up_down_wall|><|origin|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|left_right_wall|><|blank|><|3-2|><|up_down_left_wall|><|target|><|3-3|><|down_right_wall|><|left|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_right_wall|><|blank|><|4-1|><|down_left_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|left|><|left|><|up|><|left|><|down|><|down|><|right|><|down|><|down|><|right|><|right|><|right|><|up|><|up|><|left|><|down|><|left|>",
"role": "assistant"
}
] |
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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|left|><|4-2|><|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_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up|><|4-1|><|up_down_wall|><|origin|><|4-2|><|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_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|right|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|up|><|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|><|up_down_wall|><|origin|><|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_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|left|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|up|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|up|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go right
<|0-0|><|up_left_wall|><|right|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|down|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|right|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_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_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|right|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|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_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|down|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|down|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|right|><|4-4|><|down_right_wall|><|blank|>
Step 16: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|up|>
Step 17: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|up|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 18: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>
<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|up|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_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|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|left|><|up|><|right|><|up|><|left|><|up|><|up|><|right|><|down|><|right|><|right|><|down|><|down|><|down|><|right|><|up|><|up|><|up|> | [
{
"content": "You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens. \n The tokens represent:\n - Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)\n - Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.\n - Origin: <|origin|>\n - Target: <|target|>\n - Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>\n\n 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.\n MAZE:\n <|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|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|>\n\nStep 2: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|up|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|right|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|up|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|left|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|up|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|up|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go right\n<|0-0|><|up_left_wall|><|right|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 9: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|down|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|right|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|right|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|down|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 13: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|down|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 14: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|down|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 15: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|right|><|4-4|><|down_right_wall|><|blank|>\n\nStep 16: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|up|>\n\nStep 17: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|up|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 18: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_down_left_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|down_left_wall|><|blank|><|1-2|><|up_down_wall|><|blank|><|1-3|><|up_right_wall|><|blank|><|1-4|><|left_right_wall|><|target|>\n<|2-0|><|down_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|up_down_left_wall|><|blank|><|2-3|><|right_wall|><|blank|><|2-4|><|left_right_wall|><|up|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|up_left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|origin|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|left|><|up|><|right|><|up|><|left|><|up|><|up|><|right|><|down|><|right|><|right|><|down|><|down|><|down|><|right|><|up|><|up|><|up|>",
"role": "assistant"
}
] |
"You are a helpful assistant that solves mazes. You will be given a maze represented by a series of(...TRUNCATED) | "Step 1: Go down\n<|0-0|><|up_left_right_wall|><|down|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_d(...TRUNCATED) | "<|down|><|down|><|down|><|down|><|right|><|right|><|up|><|left|><|up|><|up|><|up|><|right|><|right|(...TRUNCATED) | [{"content":"You are a helpful assistant that solves mazes. You will be given a maze represented by(...TRUNCATED) |
"You are a helpful assistant that solves mazes. You will be given a maze represented by a series of(...TRUNCATED) | "Step 1: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|right|><|0-2|><|up_(...TRUNCATED) | "<|right|><|right|><|right|><|down|><|down|><|down|><|left|><|up|><|left|><|up|><|left|><|left|><|do(...TRUNCATED) | [{"content":"You are a helpful assistant that solves mazes. You will be given a maze represented by(...TRUNCATED) |
"You are a helpful assistant that solves mazes. You will be given a maze represented by a series of(...TRUNCATED) | "Step 1: Go down\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_(...TRUNCATED) | "<|down|><|right|><|right|><|right|><|down|><|down|><|left|><|up|><|left|><|down|><|left|><|left|><|(...TRUNCATED) | [{"content":"You are a helpful assistant that solves mazes. You will be given a maze represented by(...TRUNCATED) |
"You are a helpful assistant that solves mazes. You will be given a maze represented by a series of(...TRUNCATED) | "Step 1: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_w(...TRUNCATED) | "<|left|><|down|><|left|><|left|><|down|><|down|><|right|><|up|><|right|><|right|><|down|><|left|><|(...TRUNCATED) | [{"content":"You are a helpful assistant that solves mazes. You will be given a maze represented by(...TRUNCATED) |
End of preview. Expand
in Dataset Viewer.
README.md exists but content is empty.
- Downloads last month
- 18