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You are a helpful assistant that solves mazes. You will be given a maze represented by a series of tokens.
The tokens represent:
- Coordinates: <|row-col|> (e.g., <|0-0|>, <|2-4|>)
- Walls: <|no_wall|>, <|up_wall|>, <|down_wall|>, <|left_wall|>, <|right_wall|>, <|up_down_wall|>, etc.
- Origin: <|origin|>
- Target: <|target|>
- Movement: <|up|>, <|down|>, <|left|>, <|right|>, <|blank|>
Your task is to output the sequence of movements (<|up|>, <|down|>, <|left|>, <|right|>) required to navigate from the origin to the target, based on the provided maze representation. Think step by step. At each step, predict only the next movement token. Output only the move tokens, separated by spaces.
MAZE:
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | Step 1: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|left|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|up|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|left|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 4: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|left|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|left|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|down|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|left|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 4: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|left|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|left|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Heading in the wrong direction.
RESET.
Step 1: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|up|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | <|up|> | <ADJLIST_START> (3,1) <--> (3,2) ; (2,1) <--> (3,1) ; (4,3) <--> (4,2) ; (4,1) <--> (4,0) ; (0,1) <--> (0,0) ; (4,1) <--> (3,1) ; (2,0) <--> (1,0) ; (3,3) <--> (3,4) ; (4,4) <--> (4,3) ; (1,4) <--> (0,4) ; (1,2) <--> (1,1) ; (1,3) <--> (0,3) ; (1,0) <--> (1,1) ; (0,3) <--> (0,2) ; (2,2) <--> (2,1) ; (2,4) <--> (3,4) ; (4,0) <--> (3,0) ; (0,2) <--> (0,1) ; (1,4) <--> (1,3) ; (2,2) <--> (2,3) ; (4,1) <--> (4,2) ; (1,4) <--> (2,4) ; (3,3) <--> (3,2) ; (0,2) <--> (1,2) ; <ADJLIST_END> <ORIGIN_START> (1,4) <ORIGIN_END> <TARGET_START> (0,4) <TARGET_END> <PATH_START> (1,4) (0,4) <PATH_END> | [
{
"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_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|left|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|up|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|left|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_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_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|left|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 5: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|left|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|down|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|down|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|left|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_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_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|left|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 5: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|origin|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|left|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\nHeading in the wrong direction.\nRESET.\nStep 1: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_wall|><|blank|><|0-3|><|up_right_wall|><|blank|><|0-4|><|up_left_right_wall|><|target|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|down_right_wall|><|blank|><|1-3|><|down_left_wall|><|blank|><|1-4|><|right_wall|><|up|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|up_left_wall|><|blank|><|2-2|><|up_down_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_right_wall|><|blank|><|3-1|><|left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_down_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n</think>\n\n<|up|>",
"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_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|down|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|left|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|down|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|down|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|right|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|left|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|right|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|down|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|right|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|up|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|left|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|down|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|right|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|up|> | <|right|><|down|><|right|><|up|><|right|><|down|><|down|><|left|><|down|><|down|><|right|><|up|> | <ADJLIST_START> (1,0) <--> (1,1) ; (2,1) <--> (2,2) ; (4,3) <--> (3,3) ; (2,3) <--> (2,4) ; (4,4) <--> (4,3) ; (4,4) <--> (3,4) ; (3,2) <--> (2,2) ; (4,1) <--> (4,0) ; (0,3) <--> (0,4) ; (2,3) <--> (3,3) ; (0,2) <--> (0,1) ; (4,2) <--> (4,3) ; (3,0) <--> (2,0) ; (1,0) <--> (2,0) ; (1,3) <--> (1,2) ; (1,3) <--> (0,3) ; (4,2) <--> (4,1) ; (1,1) <--> (0,1) ; (3,2) <--> (4,2) ; (3,0) <--> (3,1) ; (1,4) <--> (2,4) ; (0,0) <--> (0,1) ; (0,4) <--> (1,4) ; (1,2) <--> (0,2) ; <ADJLIST_END> <ORIGIN_START> (0,1) <ORIGIN_END> <TARGET_START> (3,4) <TARGET_END> <PATH_START> (0,1) (0,2) (1,2) (1,3) (0,3) (0,4) (1,4) (2,4) (2,3) (3,3) (4,3) (4,4) (3,4) <PATH_END> | [
{
"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_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|down|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|left|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|down|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|down|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|right|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|left|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|right|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|down|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|right|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|up|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|right|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|down|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|down|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|left|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 9: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|down|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|down|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|right|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_wall|><|origin|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|down_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|up_right_wall|><|blank|><|2-3|><|up_left_wall|><|blank|><|2-4|><|down_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_right_wall|><|blank|><|3-4|><|up_left_right_wall|><|target|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|down_wall|><|blank|><|4-4|><|down_right_wall|><|up|>\n</think>\n\n<|right|><|down|><|right|><|up|><|right|><|down|><|down|><|left|><|down|><|down|><|right|><|up|>",
"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_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|right|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|down|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|left|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|left|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|left|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|down|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|down|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|right|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|down|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|down|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|left|>
Step 7: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>
Step 8: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|up|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 9: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|left|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 10: Go left
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|left|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 11: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|up|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 12: Go up
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|up|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 13: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|right|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 14: Go right
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|right|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 15: Go down
<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|down|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|down|><|down|><|right|><|down|><|down|><|left|><|left|><|up|><|left|><|left|><|up|><|up|><|right|><|right|><|down|> | <ADJLIST_START> (0,3) <--> (1,3) ; (3,4) <--> (4,4) ; (4,0) <--> (4,1) ; (3,4) <--> (2,4) ; (2,4) <--> (2,3) ; (0,0) <--> (0,1) ; (1,1) <--> (1,2) ; (2,2) <--> (2,1) ; (2,3) <--> (3,3) ; (4,3) <--> (4,2) ; (3,0) <--> (3,1) ; (1,0) <--> (1,1) ; (4,2) <--> (4,1) ; (4,3) <--> (4,4) ; (0,1) <--> (0,2) ; (0,3) <--> (0,4) ; (1,2) <--> (2,2) ; (1,0) <--> (2,0) ; (3,2) <--> (3,1) ; (0,3) <--> (0,2) ; (1,4) <--> (0,4) ; (3,2) <--> (4,2) ; (3,0) <--> (2,0) ; (1,3) <--> (2,3) ; <ADJLIST_END> <ORIGIN_START> (0,3) <ORIGIN_END> <TARGET_START> (2,2) <TARGET_END> <PATH_START> (0,3) (1,3) (2,3) (2,4) (3,4) (4,4) (4,3) (4,2) (3,2) (3,1) (3,0) (2,0) (1,0) (1,1) (1,2) (2,2) <PATH_END> | [
{
"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_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|right|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|down|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|left|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|left|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|left|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|down|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|down|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|right|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|down|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|down|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|left|>\n\nStep 7: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>\n\nStep 8: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|up|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 9: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|left|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 10: Go left\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|left|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 11: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|up|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 12: Go up\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|up|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 13: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|right|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 14: Go right\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|right|><|1-2|><|up_right_wall|><|blank|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 15: Go down\n<|0-0|><|up_down_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|origin|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|up_left_wall|><|blank|><|1-1|><|up_down_wall|><|blank|><|1-2|><|up_right_wall|><|down|><|1-3|><|left_right_wall|><|blank|><|1-4|><|down_left_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|up_down_left_wall|><|blank|><|2-2|><|down_right_wall|><|target|><|2-3|><|left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|down_left_wall|><|blank|><|3-1|><|up_down_wall|><|blank|><|3-2|><|up_right_wall|><|blank|><|3-3|><|down_left_right_wall|><|blank|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|up_down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|down|><|down|><|right|><|down|><|down|><|left|><|left|><|up|><|left|><|left|><|up|><|up|><|right|><|right|><|down|>",
"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_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | Step 1: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|down|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|right|><|4-4|><|up_down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|up|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|right|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|up|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|up|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|up|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 5: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|left|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 6: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|down|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 7: Go left
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|left|><|1-4|><|left_right_wall|><|blank|>
<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | <|right|><|up|><|up|><|up|><|left|><|down|><|left|> | <ADJLIST_START> (0,4) <--> (1,4) ; (2,0) <--> (3,0) ; (1,1) <--> (1,0) ; (3,4) <--> (3,3) ; (2,4) <--> (3,4) ; (2,2) <--> (1,2) ; (1,2) <--> (1,3) ; (0,2) <--> (0,3) ; (2,0) <--> (2,1) ; (4,2) <--> (3,2) ; (0,3) <--> (1,3) ; (4,3) <--> (4,4) ; (2,4) <--> (1,4) ; (2,1) <--> (3,1) ; (3,3) <--> (4,3) ; (4,0) <--> (4,1) ; (0,0) <--> (1,0) ; (3,3) <--> (2,3) ; (0,4) <--> (0,3) ; (4,2) <--> (4,1) ; (2,2) <--> (3,2) ; (0,0) <--> (0,1) ; (0,1) <--> (0,2) ; (4,0) <--> (3,0) ; <ADJLIST_END> <ORIGIN_START> (3,3) <ORIGIN_END> <TARGET_START> (1,2) <TARGET_END> <PATH_START> (3,3) (3,4) (2,4) (1,4) (0,4) (0,3) (1,3) (1,2) <PATH_END> | [
{
"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_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|down|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|right|><|4-4|><|up_down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|up|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|right|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|up|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 3: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_right_wall|><|blank|><|2-4|><|left_right_wall|><|up|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 4: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|up|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 5: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|left|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 6: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|down|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|blank|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 7: Go left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|down_left_wall|><|blank|><|1-1|><|up_down_right_wall|><|blank|><|1-2|><|up_left_wall|><|target|><|1-3|><|down_right_wall|><|left|><|1-4|><|left_right_wall|><|blank|>\n<|2-0|><|up_left_wall|><|blank|><|2-1|><|up_right_wall|><|blank|><|2-2|><|left_right_wall|><|blank|><|2-3|><|up_left_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|><|left_right_wall|><|blank|><|3-3|><|left_wall|><|origin|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|down_left_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n</think>\n\n<|right|><|up|><|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_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go right
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|right|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|up|>
Step 3: Go up
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|up|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go left
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|left|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|left|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>
Heading in the wrong direction.
RESET.
Step 1: Go up
<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|up|><|4-4|><|down_right_wall|><|blank|> | <|up|> | <ADJLIST_START> (1,1) <--> (2,1) ; (2,2) <--> (2,3) ; (1,2) <--> (1,3) ; (3,0) <--> (2,0) ; (0,0) <--> (1,0) ; (0,3) <--> (0,4) ; (3,1) <--> (2,1) ; (4,3) <--> (4,4) ; (4,2) <--> (4,1) ; (0,3) <--> (0,2) ; (1,0) <--> (2,0) ; (1,2) <--> (2,2) ; (3,2) <--> (3,1) ; (3,4) <--> (2,4) ; (3,2) <--> (3,3) ; (1,3) <--> (1,4) ; (3,0) <--> (4,0) ; (0,2) <--> (0,1) ; (1,4) <--> (0,4) ; (4,2) <--> (4,3) ; (3,3) <--> (4,3) ; (4,0) <--> (4,1) ; (1,1) <--> (0,1) ; (3,4) <--> (4,4) ; <ADJLIST_END> <ORIGIN_START> (4,3) <ORIGIN_END> <TARGET_START> (3,3) <TARGET_END> <PATH_START> (4,3) (3,3) <PATH_END> | [
{
"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_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go right\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|right|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go up\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|up|>\n\nStep 3: Go up\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|up|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go left\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|left|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go left\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|left|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|left|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|origin|><|4-4|><|down_right_wall|><|blank|>\nHeading in the wrong direction.\nRESET.\nStep 1: Go up\n<|0-0|><|up_left_right_wall|><|blank|><|0-1|><|up_left_wall|><|blank|><|0-2|><|up_down_wall|><|blank|><|0-3|><|up_down_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|left_right_wall|><|blank|><|1-2|><|up_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_wall|><|blank|><|2-3|><|up_down_right_wall|><|blank|><|2-4|><|up_left_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_down_wall|><|blank|><|3-3|><|up_right_wall|><|target|><|3-4|><|left_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|up_down_wall|><|blank|><|4-3|><|down_wall|><|up|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|up|>",
"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|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | Step 1: Go left
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|left|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|up|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|up|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go right
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|right|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|right|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|up|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Heading in the wrong direction.
RESET.
Step 1: Go down
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|down|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 2: Go left
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|left|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 3: Go left
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|left|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 4: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|up|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 5: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|up|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 6: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|up|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>
Step 7: Go up
<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_right_wall|><|up|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>
<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>
<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|> | <|down|><|left|><|left|><|up|><|up|><|up|><|up|> | <ADJLIST_START> (3,1) <--> (2,1) ; (1,0) <--> (2,0) ; (0,2) <--> (1,2) ; (1,0) <--> (0,0) ; (2,1) <--> (1,1) ; (3,2) <--> (3,1) ; (1,3) <--> (1,4) ; (4,2) <--> (3,2) ; (0,1) <--> (0,0) ; (3,4) <--> (2,4) ; (0,2) <--> (0,1) ; (4,4) <--> (4,3) ; (2,2) <--> (1,2) ; (3,4) <--> (3,3) ; (3,0) <--> (4,0) ; (3,4) <--> (4,4) ; (4,2) <--> (4,1) ; (2,3) <--> (1,3) ; (2,3) <--> (2,4) ; (0,4) <--> (1,4) ; (3,2) <--> (3,3) ; (2,0) <--> (3,0) ; (0,3) <--> (0,4) ; (4,0) <--> (4,1) ; <ADJLIST_END> <ORIGIN_START> (3,2) <ORIGIN_END> <TARGET_START> (0,0) <TARGET_END> <PATH_START> (3,2) (4,2) (4,1) (4,0) (3,0) (2,0) (1,0) (0,0) <PATH_END> | [
{
"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|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>",
"role": "user"
},
{
"content": "<think>\nStep 1: Go left\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|left|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|up|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|up|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go right\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|right|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go right\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|right|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|up|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\nHeading in the wrong direction.\nRESET.\nStep 1: Go down\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|down|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 2: Go left\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|left|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 3: Go left\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|left|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 4: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_wall|><|blank|><|3-4|><|right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|up|><|4-1|><|up_down_wall|><|blank|><|4-2|><|down_right_wall|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 5: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|up|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 6: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|blank|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|up|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n\nStep 7: Go up\n<|0-0|><|up_left_wall|><|target|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_right_wall|><|up|><|1-1|><|up_left_right_wall|><|blank|><|1-2|><|left_right_wall|><|blank|><|1-3|><|up_left_wall|><|blank|><|1-4|><|down_right_wall|><|blank|>\n<|2-0|><|left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|down_left_right_wall|><|blank|><|2-3|><|down_left_wall|><|blank|><|2-4|><|up_right_wall|><|blank|>\n<|3-0|><|left_right_wall|><|blank|><|3-1|><|down_left_wall|><|blank|><|3-2|><|up_wall|><|origin|><|3-3|><|up_down_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|><|blank|><|4-3|><|up_down_left_wall|><|blank|><|4-4|><|down_right_wall|><|blank|>\n</think>\n\n<|down|><|left|><|left|><|up|><|up|><|up|><|up|>",
"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|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|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_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|down|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go up
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|up|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go right
<|0-0|><|up_left_wall|><|right|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Hit a dead end.
RESET.
Step 1: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|right|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 2: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|down|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 3: Go down
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|down|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|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_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|left|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|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|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|down|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>
Step 6: Go right
<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>
<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>
<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>
<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>
<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|> | <|right|><|down|><|down|><|left|><|down|><|right|> | <ADJLIST_START> (1,4) <--> (2,4) ; (4,3) <--> (4,4) ; (1,0) <--> (1,1) ; (1,0) <--> (2,0) ; (1,0) <--> (0,0) ; (3,0) <--> (4,0) ; (1,2) <--> (1,3) ; (0,3) <--> (0,4) ; (4,1) <--> (4,0) ; (3,3) <--> (2,3) ; (3,3) <--> (3,4) ; (0,0) <--> (0,1) ; (2,3) <--> (2,2) ; (2,1) <--> (1,1) ; (3,4) <--> (2,4) ; (4,3) <--> (4,2) ; (3,1) <--> (2,1) ; (0,4) <--> (1,4) ; (1,2) <--> (0,2) ; (4,2) <--> (4,1) ; (2,2) <--> (3,2) ; (3,0) <--> (3,1) ; (4,2) <--> (3,2) ; (1,3) <--> (1,4) ; <ADJLIST_END> <ORIGIN_START> (1,0) <ORIGIN_END> <TARGET_START> (4,1) <TARGET_END> <PATH_START> (1,0) (1,1) (2,1) (3,1) (3,0) (4,0) (4,1) <PATH_END> | [
{
"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|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|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_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|down|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go up\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|up|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go right\n<|0-0|><|up_left_wall|><|right|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\nHit a dead end.\nRESET.\nStep 1: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|right|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 2: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|down|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 3: Go down\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|down|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|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_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|left|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|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|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|down|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|blank|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n\nStep 6: Go right\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_right_wall|><|blank|><|0-2|><|up_left_right_wall|><|blank|><|0-3|><|up_down_left_wall|><|blank|><|0-4|><|up_right_wall|><|blank|>\n<|1-0|><|left_wall|><|origin|><|1-1|><|up_right_wall|><|blank|><|1-2|><|down_left_wall|><|blank|><|1-3|><|up_down_wall|><|blank|><|1-4|><|right_wall|><|blank|>\n<|2-0|><|down_left_right_wall|><|blank|><|2-1|><|left_right_wall|><|blank|><|2-2|><|up_left_wall|><|blank|><|2-3|><|up_right_wall|><|blank|><|2-4|><|left_right_wall|><|blank|>\n<|3-0|><|up_left_wall|><|blank|><|3-1|><|down_right_wall|><|blank|><|3-2|><|left_right_wall|><|blank|><|3-3|><|down_left_wall|><|blank|><|3-4|><|down_right_wall|><|blank|>\n<|4-0|><|down_left_wall|><|right|><|4-1|><|up_down_wall|><|target|><|4-2|><|down_wall|><|blank|><|4-3|><|up_down_wall|><|blank|><|4-4|><|up_down_right_wall|><|blank|>\n</think>\n\n<|right|><|down|><|down|><|left|><|down|><|right|>",
"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 left\n<|0-0|><|up_left_wall|><|blank|><|0-1|><|up_down_wall|><|blank|><|0-2|><|up_down_w(...TRUNCATED) | <|down|><|down|><|left|><|down|><|left|><|up|> | "<ADJLIST_START> (4,0) <--> (4,1) ; (0,0) <--> (1,0) ; (4,3) <--> (3,3) ; (0,0) <--> (0,1) ; (0,2) <(...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_wall|><|blank|><|0-1|><|up_right_wall|><|blank|><|0-2|><|up_left_(...TRUNCATED) | <|right|><|down|><|right|><|down|><|right|> | "<ADJLIST_START> (4,0) <--> (3,0) ; (3,3) <--> (3,4) ; (0,4) <--> (1,4) ; (0,2) <--> (1,2) ; (2,4) <(...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) | <|down|><|down|><|left|><|up|><|left|> | "<ADJLIST_START> (0,4) <--> (1,4) ; (0,0) <--> (0,1) ; (0,2) <--> (0,3) ; (2,2) <--> (2,1) ; (2,0) <(...TRUNCATED) | [{"content":"You are a helpful assistant that solves mazes. You will be given a maze represented by(...TRUNCATED) |
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