Model: gemini-3-pro-preview

# Spatial Exploration Task

You are a spatial reasoner in a 2D, text-only N×M grid. Every object including you is a point at integer (x, y) coordinates.

Goal: **Minimize total COST** while building a complete and accurate map of the environment.

Multi-room rules (may exist multiple rooms):
- Your vision is confined to your current room.
- Doors block vision between rooms.
- Exception: When located in a doorway, door is open and invisible, you can see into both connected rooms.
- Rooms connect via doors on vertical (front/back) or horizontal (left/right) walls.


Relationship instructions:
Relationship: bearing in degrees; distance is Euclidean. Use binned labels.
Bearing is a degree in [-180, 180]; 0° is front. +: clockwise, -: counterclockwise.
Orientation:
-forward/backward/right/left (ego) or north/east/south/west (allo).
-When agent faces north: forward = north, right = east, etc.
-Gate's orientation: report wall position (e.g., 'on left wall').
Binned relationship reporting:
EgoFront (egocentric, object-to-agent); Cardinal (object-to-object).
Egocentric angle bins (0° is front): [-45°,-22.5°)→front-left, [-22.5°,0°)→front-slight-left, 0°→front, (0°,22.5°]→front-slight-right, (22.5°,45°]→front-right, otherwise→beyond-fov.
Cardinal angle bins (45° each): (-22.5°,22.5°]→north, (22.5°,67.5°]→north east, (67.5°,112.5°]→east, (112.5°,157.5°]→south east, (157.5°,202.5°]→south, (202.5°,247.5°]→south west, (247.5°,292.5°]→west, (292.5°,337.5°]→north west,
Distance bins: =0→same distance, (0,2]→near, (2,4]→mid distance, (4,8]→slightly far, (8,16]→far, (16,32]→very far, 32→extremely far.
Proximity: relations between close objects (≤2.0m). Use cardinal directions and standard distance bins.

Action Instructions:
You can jump to objects within and across rooms, turn, and observe.
When you are at a door, you can see objects from both connected rooms (within FOV).

Available Actions:
Movement (<M>):
- JumpTo(OBJ): Jump to the same position as the object or door. Your orientation does NOT change. The object you jump to MUST be in your field of view and previously observed. Use object or door names only. NO numbers or directions or others. Invalid: JumpTo(left), JumpTo(1).
- Rotate(DEG): Rotate relative to your current orientation. Positive = clockwise, negative = counterclockwise. Valid: -270, -180, -90, 0, 90, 180, 270. You must rotate by these specified degrees; otherwise your action will be invalid.
Final (<F>):
- Observe(): Report objects (including doors) and their spatial relationships from your current position in your FOV. Also reports relations between mutually close objects in your FOV, using your current facing direction as north (a relative reference frame, not true north).Use exactly one Observe() per step and make it the last action. Never call Term() after Observe().
- Query(obj): Return object's coordinates with agent's initial position as origin, north as y+ axis. You can only query objects that you have previously observed. High cost, only use when necessary to eliminate ambiguities.
- Term(): Terminate the exploration phase. Term() must be alone with no movement actions. You MUST ONLY use it in the last turn and no other turns. Otherwise your action sequence will be invalid.

Action Grammar (HARD CONSTRAINT):
Actions: [ <M>* <F> ]
<M> = "JumpTo(OBJ)" | "Rotate(DEG)"
<F> = "Observe()" | "Query(OBJ)" | "Term()"
Constraints:
- Zero, one or more <M>. No JumpTo at first step.
- Exactly one <F>, and it must be the final action.
- No more than one Observe().
- Term() may appear only alone.
- Any violation is invalid.

Examples:
Valid: Actions: [JumpTo(red door), Rotate(90), JumpTo(table), Observe()]
Valid: Actions: [Observe()] | Query(table)
Invalid (no final action): Actions: [JumpTo(table)]
Invalid (more than one final action): Actions: [Observe(), Rotate(90), Observe()]
Invalid (termination with other actions): Actions: [JumpTo(table), Term()]


Rules:
- Observe action only reports from your current position and facing direction. If you jump multiple times, the final Observe() action gives the view only from your last position.
- Actions execute in order. Field of view: 90°.

Observe and Query action have costs:
- Observe(): 1
- Query(obj): 2


Rules:
- Achieve complete coverage with the fewest steps;
- Prefer actions that reveal more unknowns; avoid redundancy
- FOV is 90°, you can NOT see objects outside your FOV.
- Track your current and initial pose


Room Layout and initial state:
Imagine 3 rooms connected by doors: room 1, room 2, room 3. You current (initial) position is in room 1 and you face north. Unless otherwise specified, treat your initial position as the origin (0, 0), and north is +y.
Objects: 1: laptop, 2: bike, 3: airplane, 4: pan, 5: truck, 6: lego man, 7: teddybear, 8: desklamp, 9: chair, 10: candle, 11: table, 12: fire extinguisher
Doors: green door, blue door


You have a maximum of 20 exploration steps.



Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

# Spatial Exploration Task

You are a spatial reasoner in a 2D, text-only N×M grid. Every object including you is a point at integer (x, y) coordinates.

Goal: **Minimize total COST** while building a complete and accurate map of the environment.

Multi-room rules (may exist multiple rooms):
- Your ...

I am currently at position (0,0) in Room 1, facing North. I have no information about the location of objects or doors yet. To start building the map and finding navigable points (like objects or doors), I need to gather visual information. Since my field of view is limited to 90 degrees and I cannot move to unobserved objects, my only valid option is to observe the current view or rotate and observe. Observing the current North-facing view is a standard starting move to establish a baseline.

I am currently at position (0,0) in Room 1, facing North. I have no information about the location of objects or doors yet. To start building the map and finding navigable points (like objects or doors), I need to gather visual information. Since my field of view is limited to 90 degrees and I canno...

THINK:
Based on the observation from (0,0) facing North:
1. **Green Door**: "Front-slight-right" (bearing 0° to 22.5°), "mid distance" (2 to 4 units), "on right wall" (East wall).
- Candidate coordinates: (1, 3).
- Distance: $\sqrt{1^2 + 3^2} \approx 3.16$ (fits mid distance).
- Angle: $\arctan(1/3) \approx 18.4^\circ$ (fits front-slight-right).
- Wall: Consistent with being on the East wall (x=1) if the room is narrow, or the door is recessed.
- Facing: West (inward).

2. **Blue Door**: "Front-left" (bearing -45° to -22.5°), "slightly far" (4 to 8 units), "on front wall" (North wall).
- Candidate coordinates: (-2, 4).
- Distance: $\sqrt{(-2)^2 + 4^2} \approx 4.47$ (fits slightly far).
- Angle: $\arctan(-2/4) \approx -26.6^\circ$ (fits front-left).
- Wall: Consistent with being on the North wall (y=4).
- Facing: South (inward).

I will initialize the map with these estimated positions.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 0], "facing": "north"},
"green door": {"position": [1, 3], "facing": "west"},
"blue door": {"position": [-2, 4], "facing": "south"}
}
```

THINK:
Based on the observation from (0,0) facing North:
1. **Green Door**: "Front-slight-right" (bearing 0° to 22.5°), "mid distance" (2 to 4 units), "on right wall" (East wall).
- Candidate coordinates: (1, 3).
- Distance: $\sqrt{1^2 + 3^2} \approx 3.16$ (fits mid distance).
...

{
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "west"
  },
  "blue door": {
    "position": [
      -2,
      4
    ],
    "facing": "south"
  }
}

{
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "north"
  }
}

THINK:
The agent is at local (0,0) facing +y.
Observations:
- Green door: front-slight-right (0° to 22.5°), mid distance (2 to 4), on right wall.
- Position estimation: Distance ~3. Angle ~15°.
- Coordinates: x = 3*sin(15°) ≈ 0.8, y = 3*cos(15°) ≈ 2.9. Integers: [1, 3].
- Check: atan(1/3) = 18.4° (fits front-slight-right). Distance sqrt(10) ≈ 3.16 (fits mid distance).
- "On right wall": Consistent if the right wall is near x=1 or x=2.
- Blue door: front-left (-45° to -22.5°), slightly far (4 to 8), on front wall.
- Position estimation: Distance ~5-6. Angle ~-30°.
- Coordinates: x = -2.5, y = 4.3. Integers: [-2, 4] or [-3, 5].
- Check [-2, 4]: atan(-2/4) = -26.5° (fits front-left). Distance sqrt(20) ≈ 4.47 (fits slightly far).
- Check [-3, 5]: atan(-3/5) = -30.9° (fits front-left). Distance sqrt(34) ≈ 5.83 (fits slightly far).
- I'll choose [-3, 5] to space them out a bit more given "slightly far" vs "mid". Also, if the green door is at y=3, the front wall being at y=5 seems reasonable.

FINAL ANSWER:
```json
{
"origin": "agent",
"objects": {
"green door": {"position": [1, 3]},
"blue door": {"position": [-3, 5]}
}
}
```

THINK:
The agent is at local (0,0) facing +y.
Observations:
- Green door: front-slight-right (0° to 22.5°), mid distance (2 to 4), on right wall.
- Position estimation: Distance ~3. Angle ~15°.
- Coordinates: x = 3*sin(15°) ≈ 0.8, y = 3*cos(15°) ≈ 2.9. Integers: [1, 3].
- Check: atan(1/3) = 18...

{
  "origin": "agent",
  "objects": {
    "green door": {
      "position": [
        1,
        3
      ]
    },
    "blue door": {
      "position": [
        -3,
        5
      ]
    }
  }
}

{
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  }
}

{
  "origin": "agent",
  "objects": {
    "green door": {
      "position": [
        1,
        3
      ]
    },
    "blue door": {
      "position": [
        -3,
        5
      ]
    }
  }
}

{
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  }
}

THINK:
The agent is located at `*` (Line 12, Column 8) facing North.
Candidates are labeled A, B, C, D, E, F.
We determine visibility based on a 90-degree field of view (FOV) centered on North (bearing [-45°, +45°]).
Relative coordinates (dx, dy) from agent `*`:
- **D**: (0, 2). Bearing 0°. Visible.
- **F**: (-2, 4). Bearing ~-26.5°. Visible.
- **C**: (-2, 2). Bearing -45°. This is on the boundary of the FOV. The instructions define the "front-left" bin as [-45°, -22.5°), inclusive of -45°. Therefore, C is technically visible (within FOV).
- **E**: (-1, 0). Bearing -90°. Outside FOV (to the left). Unobserved.
- **B**: (-4, 1). Bearing ~-76°. Outside FOV. Unobserved.
- **A**: (-5, -1). Behind the agent. Outside FOV. Unobserved.

Thus, the unobserved points are A, B, and E.

FINAL ANSWER:
```json
{
"unexplored": ["A", "B", "E"]
}
```

THINK:
The agent is located at `*` (Line 12, Column 8) facing North.
Candidates are labeled A, B, C, D, E, F.
We determine visibility based on a 90-degree field of view (FOV) centered on North (bearing [-45°, +45°]).
Relative coordinates (dx, dy) from agent `*`:
- **D**: (0, 2). Bearing 0°. Visible....

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####......#
###...F..#......#
###......+......#
###...C.D#......#
###.B....#......#
###....E*#......#
###A.....########
#################

You observe:
• green door: front-slight-right, mid distance, on right wall
• blue door: front-left, slightly far, on front wall.
You have a maximum of 19 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You observe:
• green door: front-slight-right, mid distance, on right wall
• blue door: front-left, slightly far, on front wall.
You have a maximum of 19 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am currently at (0,0) facing North. I have observed a "green door" (East wall) and a "blue door" (North wall). I have not seen any objects yet. To minimize cost and explore efficiently, I should move to a vantage point that opens up new areas. Jumping to the "green door" allows me to access the room connected to it (Room 2). By rotating to face East (into the new room), I can reveal the contents of Room 2. This reveals more unknowns than staying in Room 1 for now, and I can always look back at Room 1 from the door later.

I am currently at (0,0) facing North. I have observed a "green door" (East wall) and a "blue door" (North wall). I have not seen any objects yet. To minimize cost and explore efficiently, I should move to a vantage point that opens up new areas. Jumping to the "green door" allows me to access the ro...

THINK: [Your thoughts on cognitive map]
The agent started at (0,0) facing North.
1. **Green Door**: Observed at "front-slight-right" and "mid distance" (approx 3m) on the "right wall". Facing North, the right wall is East ($x>0$). A position of roughly $(3, 1)$ fits the bearing (atan(1/3)≈18°, which is front-slight-right) and distance ($\sqrt{10}\approx3.2$).
2. **Blue Door**: Observed at "front-left" and "slightly far" (approx 5m) on the "front wall". Front wall is North ($y>0$). A position of $(-2, 4)$ fits the bearing (atan(-2/4)≈-26°, which is front-left) and distance ($\sqrt{20}\approx4.5$).
3. **Agent Move**: Jumped to Green Door $(3, 1)$ and rotated 90° clockwise (facing East).
4. **Observations from Green Door (facing East)**:
* **Table**: "front, slightly far". Along the East axis ($+x$). Placed at $(7, 1)$ (dist 4, slightly far border/mid, let's say dist 4-5).
* **Bike**: "front-slight-left, slightly far". "West (Global North) of Table". "North (Global East) of Chair". Placed at $(7, 2)$. Vector from agent is $(4, 1)$, dist $\approx4.1$ (slightly far), bearing $\approx-14°$ (front-slight-left).
* **Chair**: "front-left, mid distance". "South (Global West) of Bike". Placed at $(5, 2)$. Vector from agent is $(2, 1)$, dist $\approx2.2$ (mid), bearing $\approx-26°$ (front-left). Proximity: Bike is $(2, 0)$ from Chair (Global East), fitting "Bike is North (Rel) of Chair". Dist is 2 (Near).
* **Truck**: "front-right, mid distance". Placed at $(5, 0)$. Vector from agent is $(2, -1)$, dist $\approx2.2$, bearing $\approx+26°$ (front-right).
* **Facings**: Bike(South), Truck(North), Chair(West).

FINAL ANSWER:
```json
{
"agent": {"position": [3, 1], "facing": "east"},
"green door": {"position": [3, 1]},
"blue door": {"position": [-2, 4]},
"bike": {"position": [7, 2], "facing": "south"},
"truck": {"position": [5, 0], "facing": "north"},
"chair": {"position": [5, 2], "facing": "west"},
"table": {"position": [7, 1]}
}
```

THINK: [Your thoughts on cognitive map]
The agent started at (0,0) facing North.
1. **Green Door**: Observed at "front-slight-right" and "mid distance" (approx 3m) on the "right wall". Facing North, the right wall is East ($x>0$). A position of roughly $(3, 1)$ fits the bearing (atan(1/3)≈18°, whi...

{
  "agent": {
    "position": [
      3,
      1
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      3,
      1
    ]
  },
  "blue door": {
    "position": [
      -2,
      4
    ]
  },
  "bike": {
    "position": [
      7,
      2
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      5,
      0
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      5,
      2
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      7,
      1
    ]
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  }
}

THINK:
I have observed the contents of the room through the green door. The agent is facing "local North" (Global East).
Based on the observations:
1. **Chair**: Front-left, mid distance. Local coordinates roughly (-2, 3). Facing backward (-y).
2. **Truck**: Front-right, mid distance. Local coordinates roughly (2, 3). Facing left (-x).
3. **Table**: Front, slightly far. Local coordinates roughly (0, 5).
4. **Bike**: Front-slight-left, slightly far. Local coordinates roughly (-2, 5). Facing right (+x).
Relations check: Bike (y=5) is north of Chair (y=3)? Yes. Distance 2 (Near). Bike (x=-2) is west of Table (x=0)? Yes. Distance 2 (Near).

FINAL ANSWER:
```json
{
"origin": "agent",
"objects": {
"chair": {"position": [-2, 3], "facing": "-y"},
"truck": {"position": [2, 3], "facing": "-x"},
"table": {"position": [0, 5]},
"bike": {"position": [-2, 5], "facing": "+x"}
}
}
```

THINK:
I have observed the contents of the room through the green door. The agent is facing "local North" (Global East).
Based on the observations:
1. **Chair**: Front-left, mid distance. Local coordinates roughly (-2, 3). Facing backward (-y).
2. **Truck**: Front-right, mid distance. Local coordi...

{
  "origin": "agent",
  "objects": {
    "chair": {
      "position": [
        -2,
        3
      ],
      "facing": "-y"
    },
    "truck": {
      "position": [
        2,
        3
      ],
      "facing": "-x"
    },
    "table": {
      "position": [
        0,
        5
      ]
    },
    "bike": {
      "position": [
        -2,
        5
      ],
      "facing": "+x"
    }
  }
}

{
  "truck": {
    "position": [
      2,
      3
    ],
    "facing": "north"
  },
  "table": {
    "position": [
      0,
      5
    ],
    "facing": "east"
  },
  "chair": {
    "position": [
      -2,
      3
    ],
    "facing": "west"
  },
  "bike": {
    "position": [
      -2,
      5
    ],
    "facing": "south"
  }
}

{
  "origin": "agent",
  "objects": {
    "chair": {
      "position": [
        -2,
        3
      ],
      "facing": "-y"
    },
    "truck": {
      "position": [
        2,
        3
      ],
      "facing": "-x"
    },
    "table": {
      "position": [
        0,
        5
      ]
    },
    "bike": {
      "position": [
        -2,
        5
      ],
      "facing": "+x"
    }
  }
}

{
  "truck": {
    "position": [
      2,
      3
    ],
    "facing": "north"
  },
  "table": {
    "position": [
      0,
      5
    ],
    "facing": "east"
  },
  "chair": {
    "position": [
      -2,
      3
    ],
    "facing": "west"
  },
  "bike": {
    "position": [
      -2,
      5
    ],
    "facing": "south"
  }
}

THINK: [The agent started in Room 1 (left), likely in the lower-middle area, facing North. The agent observed the Green door (East wall) and Blue door (North wall). The area South of the start position (B) and far West (E) were outside the 90-degree North-facing FOV or behind the agent. Point L is also likely in the South-West or obscured/outside the cone.
Then the agent jumped to the Green door (*) and rotated to face East (into Room 2).
The agent observed objects in Room 2 (Bike, Truck, Chair, Table) covering the central, North-East, and South-East sectors within the +/- 45 degree FOV.
Point A (Central/East) is likely observed (near Table).
Points I, C (North-East) are likely observed (near Chair/Bike).
Point D (North wall) is likely within the Front-Left FOV sector (similar to Chair/Bike).
Point H (South of the door, near wall) is likely outside the 45-degree cone (too far Right/South).
Point J (South, further down) is definitely outside the FOV (Behind-Right).
Therefore, the unobserved points are B, E, L (in Room 1) and H, J (in Room 2).]
FINAL ANSWER:
```json
{
"unexplored": ["B", "E", "H", "J", "L"]
}
```

THINK: [The agent started in Room 1 (left), likely in the lower-middle area, facing North. The agent observed the Green door (East wall) and Blue door (North wall). The area South of the start position (B) and far West (E) were outside the 90-degree North-facing FOV or behind the agent. Point L is a...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####D.....#
###.....G#......#
###......*......#
###.....F#...IC.#
###.E..K.#H..A..#
###....L.#J.....#
###.....B########
#################

You jumped to green door. You rotated clockwise 90°. You observe:
• bike: front-slight-left, slightly far, facing right
• truck: front-right, mid distance, facing left
• chair: front-left, mid distance, facing backward
• table: front, slightly far
Assume your current facing direction is called "north":
• bike is north, near to chair
• bike is west, near to table.
You have a maximum of 18 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to green door. You rotated clockwise 90°. You observe:
• bike: front-slight-left, slightly far, facing right
• truck: front-right, mid distance, facing left
• chair: front-left, mid distance, facing backward
• table: front, slightly far
Assume your current facing direction is called "nor...

I am currently at the green door, facing East (into Room 2).
I have observed a table, bike, chair, and truck in Room 2.
- The table is roughly in front (East).
- The bike and chair are front-left (North-East).
- The truck is front-right (South-East).
Relative descriptions suggest the bike is "Left" (Global North) of the table.
To map Room 2 and look for connections to Room 3 (or back to Room 1), I should move to a central object. The table is a good candidate.
From the table, I want to scan the room. Since the bike/chair are to the North and the truck is to the South, facing North or South is useful.
I will jump to the table and rotate -90 degrees (counter-clockwise) to face Global North. This will let me inspect the area around the bike and chair and check the north wall for doors.

I am currently at the green door, facing East (into Room 2).
I have observed a table, bike, chair, and truck in Room 2.
- The table is roughly in front (East).
- The bike and chair are front-left (North-East).
- The truck is front-right (South-East).
Relative descriptions suggest the bike is "Left" ...

THINK:
The agent started at (0,0) facing North.
1. **Room 1**: Observed 'green door' (mid distance, front-slight-right) and 'blue door' (slightly far, front-left).
* Estimated 'green door' at (1, 3).
* Estimated 'blue door' at (-3, 5).
2. **Room 2**: Jumped to 'green door' and looked East. Observed 'table', 'bike', 'chair', 'truck'.
* From Green Door (1, 3) facing East:
* Table (front, slightly far) -> (~6, 3).
* Truck (front-right, mid) -> (~4, 1). Relative facing "left" (North).
* Bike (front-slight-left, slightly far) -> (~6, 5).
* Chair (front-left, mid) -> (~4, 5).
3. **Refinement at Table**: Jumped to 'table' (~6, 3), rotated to face North.
* Bike is "front, near" -> (6, 5). Faces "backward" (South).
* Chair is "front-left, mid" -> (4, 5). Faces "left" (West).
* Relative: Bike is East of Chair. (6,5) is East of (4,5). Consistent.

Current State: Agent at Table (6, 3) facing North.

FINAL ANSWER:
```json
{
"agent": {"position": [6, 3], "facing": "north"},
"green door": {"position": [1, 3]},
"blue door": {"position": [-3, 5]},
"table": {"position": [6, 3]},
"bike": {"position": [6, 5], "facing": "south"},
"chair": {"position": [4, 5], "facing": "west"},
"truck": {"position": [4, 1], "facing": "north"}
}
```

THINK:
The agent started at (0,0) facing North.
1. **Room 1**: Observed 'green door' (mid distance, front-slight-right) and 'blue door' (slightly far, front-left).
* Estimated 'green door' at (1, 3).
* Estimated 'blue door' at (-3, 5).
2. **Room 2**: Jumped to 'green door' and looked ...

{
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ]
  },
  "blue door": {
    "position": [
      -3,
      5
    ]
  },
  "table": {
    "position": [
      6,
      3
    ]
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "north"
  }
}

THINK:
The agent is currently located at the table, facing Global North (local +y). Based on the observation:
1. **Bike**: Observed "front, near". In the local frame, "front" corresponds to the +y axis. "Near" implies a distance around 2 units. So, the bike is roughly at [0, 2]. It is "facing backward", which in the local frame is -y.
2. **Chair**: Observed "front-left, mid distance". "Front-left" corresponds to the second quadrant (+y, -x). "Mid distance" (2-4 units) suggests coordinates like [-2, 2] (distance ~2.8). It is "facing left", which corresponds to local -x.
3. **Relative check**: The relation "bike is east, near to chair" holds true if the bike is at [0, 2] and the chair is at [-2, 2], as the bike has a higher x-value.

FINAL ANSWER:
```json
{
"origin": "agent",
"objects": {
"bike": {"position": [0, 2], "facing": "-y"},
"chair": {"position": [-2, 2], "facing": "-x"}
}
}
```

THINK:
The agent is currently located at the table, facing Global North (local +y). Based on the observation:
1. **Bike**: Observed "front, near". In the local frame, "front" corresponds to the +y axis. "Near" implies a distance around 2 units. So, the bike is roughly at [0, 2]. It is "facing backw...

{
  "origin": "agent",
  "objects": {
    "bike": {
      "position": [
        0,
        2
      ],
      "facing": "-y"
    },
    "chair": {
      "position": [
        -2,
        2
      ],
      "facing": "-x"
    }
  }
}

{
  "chair": {
    "position": [
      -2,
      2
    ],
    "facing": "west"
  },
  "bike": {
    "position": [
      0,
      2
    ],
    "facing": "south"
  }
}

{
  "origin": "agent",
  "objects": {
    "bike": {
      "position": [
        0,
        2
      ],
      "facing": "-y"
    },
    "chair": {
      "position": [
        -2,
        2
      ],
      "facing": "-x"
    }
  }
}

THINK:
The agent started in Room 1 (likely at position E) facing North, observing the northern part of Room 1 (seeing the Blue door to the NW and Green door to the NE). Areas to the West (A) and East/South-East (F) of the start position would be outside the 90-degree field of view. The agent then moved to the Green door and looked East into Room 2, seeing objects in the NE (Bike, Chair) and SE (Truck) quadrants. However, the "mid distance" (2-4m) observation of the Truck likely does not cover the far South-East corner (G, K, L) or the South wall area (D), which are farther away (~7m). The area immediately South of the door (H) is also in a blind spot (strictly Right/South from the door). From the Table, the agent looked North, covering the North-Central part of Room 2. The southern areas of Room 2 (H, D, G, K, L) remain unobserved.

FINAL ANSWER:
{
"unexplored": ["A", "D", "F", "G", "H", "K", "L"]
}

THINK:
The agent started in Room 1 (likely at position E) facing North, observing the northern part of Room 1 (seeing the Blue door to the NW and Green door to the NE). Areas to the West (A) and East/South-East (F) of the start position would be outside the 90-degree field of view. The agent then mo...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####......#
###C...J.#.....I#
###.....B+....*.#
###A....F#.H....#
###......#DG....#
###...E..#LK....#
###......########
#################

You jumped to table. You rotated counterclockwise 90°. You observe:
• bike: front, near, facing backward
• chair: front-left, mid distance, facing left
Assume your current facing direction is called "north":
• bike is east, near to chair.
You have a maximum of 17 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to table. You rotated counterclockwise 90°. You observe:
• bike: front, near, facing backward
• chair: front-left, mid distance, facing left
Assume your current facing direction is called "north":
• bike is east, near to chair.
You have a maximum of 17 exploration steps left.
Strictly fo...

I am at the table in Room 2, facing North. I have observed the bike and chair to the North/North-West. I previously saw a truck to the South-East when entering the room, but I haven't observed it from my current position, nor have I checked the South or East walls for a door to Room 3. Rotating 180 degrees to face South will allow me to observe the truck and check the South wall for the missing door.

I am at the table in Room 2, facing North. I have observed the bike and chair to the North/North-West. I previously saw a truck to the South-East when entering the room, but I haven't observed it from my current position, nor have I checked the South or East walls for a door to Room 3. Rotating 180 ...

THINK:
Based on the sequence of observations and movements, I have constructed a mental map of the environment.
1. **Start (0,0, Facing North):**
* **Green Door:** Observed "front-slight-right, mid distance" on the right wall. Estimated coordinates: ~(1, 3). It connects Room 1 and Room 2.
* **Blue Door:** Observed "front-left, slightly far" on the front wall. Estimated coordinates: ~(-2, 5). It connects Room 1 and an unexplored room (Room 3).
2. **Room 2 Entry (Jump to Green Door, Rotate East):**
* Moved to Green Door ~(1, 3). Facing East.
* **Table:** "Front, slightly far". Estimated ~(6, 3).
* **Bike:** "Front-slight-left, slightly far". Estimated ~(6, 5). Facing Right (South).
* **Chair:** "Front-left, mid distance". Estimated ~(4, 5). Facing Backward (West).
* **Truck:** "Front-right, mid distance". Estimated ~(4, 1). Facing Left (North).
3. **Room 2 Center (Jump to Table, Rotate North):**
* Moved to Table ~(6, 3). Facing North.
* Refined **Bike**: "Front, near". Confirmed ~(6, 5). Facing Backward (South).
* Refined **Chair**: "Front-left, mid distance". Confirmed ~(4, 5). Facing Left (West).
4. **Room 2 Check (Rotate South):**
* Facing South at Table ~(6, 3).
* Refined **Truck**: "Front-right, mid distance". Confirmed ~(4, 1). Facing Backward (North).

Current State: Agent is at the Table (6, 3), facing South.

FINAL ANSWER:
```json
{
"agent": {"position": [6, 3], "facing": "south"},
"green door": {"position": [1, 3]},
"blue door": {"position": [-2, 5]},
"table": {"position": [6, 3]},
"bike": {"position": [6, 5], "facing": "south"},
"chair": {"position": [4, 5], "facing": "west"},
"truck": {"position": [4, 1], "facing": "north"}
}
```

THINK:
Based on the sequence of observations and movements, I have constructed a mental map of the environment.
1. **Start (0,0, Facing North):**
* **Green Door:** Observed "front-slight-right, mid distance" on the right wall. Estimated coordinates: ~(1, 3). It connects Room 1 and Room 2.
...

{
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "south"
  },
  "green door": {
    "position": [
      1,
      3
    ]
  },
  "blue door": {
    "position": [
      -2,
      5
    ]
  },
  "table": {
    "position": [
      6,
      3
    ]
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "south"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "south"
  }
}

THINK:
I am at the table facing Global South.
From my previous observation entering Room 2 (facing East), the truck was "front-right" (South-East). Now facing South, "front-right" corresponds to South-West in global terms relative to the table? Let's re-evaluate.
At the green door (facing East): truck was front-right (South-East).
I jumped to the table (East of green door).
Now I am at the table facing South.
If the truck is South-East of the door, and the table is East of the door, the truck's position relative to the table depends on distances.
The observation says: "truck: front-right, mid distance, facing backward".
My current facing is South (Global).
"Front" is South. "Right" is West. "Front-Right" is South-West relative to me.
Wait, let's trace the coordinates.
Door at roughly (0,0) (hypothetically). Facing East.
Truck was front-right -> (+x, -y) relative to door -> Global (East, South).
Table was front -> (+x, 0) relative to door -> Global East.
So Truck is South of Table.
I am at Table facing South.
Truck should be "front" or "front-left" or "front-right".
Observation says "front-right". If I am facing South, right is West. So Truck is South-West of me?
This contradicts the earlier thought that it was South-East of the door and I moved East. If I moved East to the table, and the truck was South-East of the door, it could be South or South-West or South-East of the table depending on lateral offset.
However, I must trust the current observation for the local map.
Current Observation: Truck is front-right. Distance mid (approx 3-4 units).
Relative Frame:
Origin: Agent (at table, facing South).
+y is South. +x is West.
Truck at front-right -> +x, +y quadrant.
Mid distance -> approx (2, 2) or similar.
Let's assume (2, 2) relative to agent frame.
Truck facing: "backward".
My facing is South. Backward is North.
So in local frame, facing is -y.

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"truck": {"position": [2, 2], "facing": "-y"}
}
}

THINK:
I am at the table facing Global South.
From my previous observation entering Room 2 (facing East), the truck was "front-right" (South-East). Now facing South, "front-right" corresponds to South-West in global terms relative to the table? Let's re-evaluate.
At the green door (facing East): tru...

{
  "origin": "agent",
  "objects": {
    "truck": {
      "position": [
        2,
        2
      ],
      "facing": "-y"
    }
  }
}

{
  "truck": {
    "position": [
      2,
      2
    ],
    "facing": "north"
  }
}

{
  "origin": "agent",
  "objects": {
    "truck": {
      "position": [
        2,
        2
      ],
      "facing": "-y"
    }
  }
}

THINK:
The agent has explored Room 1 (bottom-left) and Room 2 (bottom-right).
1. **Room 1 (Start):** Agent at `(0,0)` facing North.
* Observed "green door" (East) and "blue door" (North).
* FOV coverage: North-East cone.
* Points `I` and `B` are located in the far West (Left) of Room 1.
* From the start position (likely South-East of the room center to see doors as reported), `I` and `B` are to the West/South-West, falling into the "Left" or "Beyond FOV" blind spot (angle < -45°). Thus, `I` and `B` are **unexplored**.
* Points `A`, `K`, `H` are centrally located or near observed doors, so they are likely observed.

2. **Room 2:** Agent jumped to `J` (door), then `*` (table).
* From `J` facing East: Observed objects to the East/South-East/North-East.
* Point `G` (near the dividing wall, South of door) and `D` (South-West corner of Room 2) were to the Agent's Right (South).
* Vector from `J` to `D` is steep South-East (>45°). Likely unobserved.
* Vector from `J` to `G` is South-East (~45°). Borderline, likely unobserved or edge.
* From `*` facing North: Observed `C` (North-East) and `E` (North).
* From `*` facing South: Observed Truck (South-West).
* Point `D` is to the West of `*` (Right of South-facing agent). Angle is >45°. Unobserved.
* Point `G` is to the North-West of `*` (Rear-Right). Unobserved.
* Point `L` is directly South. Observed.
* Point `F` is South-East. Edge of FOV. Likely observed (empty).

3. **Room 3 (Top):**
* Agent has not entered.
* However, no candidate points (A-Z) are plotted in the top-left empty region. `E` is on the boundary/inside Room 2 North extension.

4. **Conclusion:** The points definitely in the blind spots of all previous observations are `B`, `D`, `G`, `I`.

FINAL ANSWER:
```json
{
"unexplored": ["B", "D", "G", "I"]
}
```

THINK:
The agent has explored Room 1 (bottom-left) and Room 2 (bottom-right).
1. **Room 1 (Start):** Agent at `(0,0)` facing North.
* Observed "green door" (East) and "blue door" (North).
* FOV coverage: North-East cone.
* Points `I` and `B` are located in the far West (Left) of R...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####E.....#
###.H....#.....C#
###.....J+....*.#
###......#......#
###...A.K#G....F#
###.IB...#D.L...#
###......########
#################

You rotated clockwise 180°. You observe:
• truck: front-right, mid distance, facing backward.
You have a maximum of 16 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated clockwise 180°. You observe:
• truck: front-right, mid distance, facing backward.
You have a maximum of 16 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am at the table facing South. I see the truck to the front-right (South-West). I still haven't found the door to Room 3.
I have explored the North (bike, chair) and South-West (truck) areas of Room 2. I haven't looked East properly. The previous observation from the green door (facing East) showed the table, but I didn't see beyond it clearly.
Also, Room 1 had a "blue door" on its North wall.
I need to find the connection to Room 3. It could be in Room 1 (the blue door) or somewhere in Room 2 I haven't seen (perhaps East wall).
Let's check the East view from the table to be thorough in Room 2 before leaving.
I am currently facing South. To face East, I need to rotate -90 (counter-clockwise).

I am at the table facing South. I see the truck to the front-right (South-West). I still haven't found the door to Room 3.
I have explored the North (bike, chair) and South-West (truck) areas of Room 2. I haven't looked East properly. The previous observation from the green door (facing East) showed...

THINK:
The agent is currently at the `table` in Room 2, facing East (after rotating -90° from South).
Based on the observations:
- **Green Door**: Observed from start (0,0) at mid distance to the right (East). Estimated at (3, 2).
- **Blue Door**: Observed from start (0,0) at slightly far distance to the front-left (North-West). Estimated at (-2, 6).
- **Table**: Reached from Green Door (3,2) by jumping ~5m East. Estimated at (8, 2).
- **Bike**: North of Table (~2m). Estimated at (8, 4). Facing South.
- **Chair**: West of Bike (~2m). Estimated at (6, 4). Facing West.
- **Truck**: South-West of Table (~2.8m). Estimated at (6, 0). Facing North.
- **Agent**: Currently at the table (8, 2), facing East.

FINAL ANSWER:
```json
{
"agent": {"position": [8, 2], "facing": "east"},
"green door": {"position": [3, 2]},
"blue door": {"position": [-2, 6]},
"table": {"position": [8, 2]},
"bike": {"position": [8, 4], "facing": "south"},
"chair": {"position": [6, 4], "facing": "west"},
"truck": {"position": [6, 0], "facing": "north"}
}
```

THINK:
The agent is currently at the `table` in Room 2, facing East (after rotating -90° from South).
Based on the observations:
- **Green Door**: Observed from start (0,0) at mid distance to the right (East). Estimated at (3, 2).
- **Blue Door**: Observed from start (0,0) at slightly far distance t...

{
  "agent": {
    "position": [
      8,
      2
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      3,
      2
    ]
  },
  "blue door": {
    "position": [
      -2,
      6
    ]
  },
  "table": {
    "position": [
      8,
      2
    ]
  },
  "bike": {
    "position": [
      8,
      4
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      6,
      4
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      6,
      0
    ],
    "facing": "north"
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  }
}

THINK: [The agent started in Room 1 (left side) and moved quickly to Room 2 (right side). In Room 1, the agent only observed North. The points A (West wall), I (South wall), and D (South-East corner) in Room 1 were likely outside the North-facing Field of View (which covers +/- 45 degrees). L is the starting position (visited). In Room 2, the agent has observed North, South, and East from the Table, covering most regions including B, C, E, F. The area near J and K was traversed. Therefore, the unexplored/unobserved regions are primarily in the blind spots of Room 1.]
FINAL ANSWER: {
"unexplored": ["A", "D", "I"]
}

THINK: [The agent started in Room 1 (left side) and moved quickly to Room 2 (right side). In Room 1, the agent only observed North. The points A (West wall), I (South wall), and D (South-East corner) in Room 1 were likely outside the North-facing Field of View (which covers +/- 45 degrees). L is the...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####C.....#
###....HG#....F.#
###A.....+.J..*.#
###...I..#..K...#
###L.....#B.....#
###......#E.....#
###....D.########
#################

You rotated counterclockwise 90°. You observe: No objects in field of view..
You have a maximum of 15 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated counterclockwise 90°. You observe: No objects in field of view..
You have a maximum of 15 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am at the table in Room 2, facing East. The view is empty. This suggests there are no objects or doors immediately to the East.
I have explored Room 2 fairly well:
- North: bike, chair.
- South: truck.
- East: empty.
- West: green door (leading to Room 1).
I still haven't found a door to Room 3 in Room 2. The only other known unexplored exit is the "blue door" in Room 1.
I should return to Room 1 and explore the blue door.
To do this, I must jump back to the green door.
My current orientation is East. The green door is to the West.
I will jump to the green door. Since I am at the green door (which is a connection), I can see into Room 1. To see the blue door (which was on the North wall of Room 1) and other objects in Room 1, facing North or West would be good. When I was at (0,0) facing North, the green door was on the right (East) and blue door was front-left (North). So the blue door is North-West of the green door.
Entering Room 1 from the green door (which is on the East wall of Room 1, or right wall from (0,0) facing North), if I face West (into Room 1), the blue door (North wall) would be to my right.
Let's jump to the green door and rotate 180 to face West (into Room 1).

I am at the table in Room 2, facing East. The view is empty. This suggests there are no objects or doors immediately to the East.
I have explored Room 2 fairly well:
- North: bike, chair.
- South: truck.
- East: empty.
- West: green door (leading to Room 1).
I still haven't found a door to Room 3 in...

THINK:
I made a mistake in the previous step. I tried to `JumpTo(green door)` while facing East at the table, but the green door is to the West (behind me), so it was not in my FOV. The jump failed, and I remained at the table facing East, observing nothing.

Now I need to construct the cognitive map based on my successful observations so far.
Initial State: Room 1, (0,0), facing North.
Observed from (0,0) facing N:
- green door: front-slight-right (NNE), mid distance, on right wall. Let's estimate position. Right wall suggests x > 0. Mid distance (2-4). Maybe (3, 1) or (3, 2). It's a door on a vertical wall? No, "on right wall" for a North-facing agent usually means an East wall (vertical line), so the door faces West? Or connects East. Let's assume standard grid. (0,0) -> North is +y. Right is +x. Green door is on the East wall. Let's place it at approx (3, 1).
- blue door: front-left (NNW), slightly far (4-8), on front wall. Front wall is North wall. Let's estimate ( -1, 5) or similar.

Move 1: JumpTo(green door), Rotate(90) -> Face East.
At Green Door (approx 3, 1). Facing East.
Observed Room 2:
- bike: front-slight-left (ENE/NE), slightly far (4-8). Facing Right (South).
- truck: front-right (ESE/SE), mid distance (2-4). Facing Left (North).
- chair: front-left (ENE/NE), mid distance (2-4). Facing Backward (West).
- table: front (East), slightly far (4-8).

Move 2: JumpTo(table), Rotate(-90) -> Face North.
From Table (approx 3+5, 1 = 8, 1 ?). Facing North.
Observed:
- bike: front (North), near (0-2). Facing Backward (South). Relative: bike is East of chair.
- chair: front-left (NW), mid distance (2-4). Facing Left (West).

Move 3: Rotate(180) -> Face South.
From Table. Observed:
- truck: front-right (SW), mid distance (2-4). Facing Backward (North).

Move 4: Rotate(-90) -> Face East.
From Table. Observed Nothing.

Move 5: Attempted JumpTo(green door) failed. Still at Table facing East.

Let's refine coordinates.
Agent at (0,0).
Green door: "mid distance" (approx 3 units), "front-slight-right". Let's say (1, 3) or (2, 2). "On right wall" implies it's on the wall x=width. If Room 1 is small, maybe x=2 or 3. Let's assume Green door is at (2, 2) for simplicity? Or (3,1)?
Let's use the Table as a reference for Room 2.
Table is "slightly far" from Green Door (dist 4-8). Let's say dx=5. So Table is at (x_door + 5, y_door).
From Table (facing N):
Bike is "front, near". So Bike is (x_table, y_table + 1.5). Facing South.
Chair is "front-left, mid". So Chair is (x_table - 2, y_table + 2). Facing West.
From Table (facing S):
Truck is "front-right, mid". Facing S -> Front is -y. Right is -x. Front-Right is (-y, -x) = South-West. So Truck is (x_table - 2, y_table - 2). Facing North.

Re-evaluating "Green Door on right wall" from (0,0) facing N.
Right wall is East. Door connects to Room 2 (East).
So Green door is at (x, y) with x > 0.
"Front-slight-right" means angle (0, 22.5]. This means y is much larger than x? No, 0 is front. 22.5 is right.
Wait. 0 is Front (North). Right is 90.
Bins:
0 -> Front.
(0, 22.5] -> Front-slight-right.
(22.5, 45] -> Front-right.
So "front-slight-right" means it is mostly North, slightly East.
But it says "on right wall". If the room is a corridor North, the right wall is East.
Maybe (1, 4)?
Green door pos: (1, 4).
Then JumpTo(green door) -> at (1, 4).
Rotate(90) -> Face East.
View of Room 2.
Table is "front, slightly far". East of door. (1+5, 4) = (6, 4).
From Table (6, 4) Facing N:
Bike: Front, near. (6, 5.5). Facing S.
Chair: Front-left, mid. (6-2, 4+2) = (4, 6). Facing W.
From Table Facing S:
Truck: Front-right, mid. South-West. (6-2, 4-2) = (4, 2). Facing N.

Let's check initial view again.
Green door: (1, 4)? Dist = sqrt(1^2 + 4^2) = sqrt(17) = 4.1 (slightly far). Prompt said "mid distance" (2-4).
Maybe (1, 3)? Dist = sqrt(10) = 3.16. Fits mid. Angle atan(1/3) = 18 deg. Fits (0, 22.5].
So Green Door = (1, 3).
Blue door: "front-left, slightly far, on front wall".
Front wall = North wall.
Front-left = [-45, -22.5).
Slightly far = (4, 8].
Let's say y=5. x = tan(-30)*5 = -2.8.
Pos (-3, 5). Dist = sqrt(9+25) = 5.8. Fits.
So Room 1: (-something to +something, 0 to 5).
Green door at (1, 3) implies East wall is at x=1? That seems narrow. But "on right wall" strongly implies lateral boundary.
Maybe the agent is close to the right wall.
Let's stick with:
Green door: (1, 3).
Table: (1+5, 3) = (6, 3).
Bike: (6, 4).
Chair: (4, 5).
Truck: (4, 1).

Agent is currently at Table (6, 3), facing East.

FINAL ANSWER:
```json
{
"agent": {"position": [6, 3], "facing": "east"},
"green door": {"position": [1, 3]},
"blue door": {"position": [-3, 5]},
"table": {"position": [6, 3]},
"bike": {"position": [6, 4], "facing": "south"},
"chair": {"position": [4, 5], "facing": "west"},
"truck": {"position": [4, 1], "facing": "north"}
}
```

THINK:
I made a mistake in the previous step. I tried to `JumpTo(green door)` while facing East at the table, but the green door is to the West (behind me), so it was not in my FOV. The jump failed, and I remained at the table facing East, observing nothing.

Now I need to construct the cognitive ma...

{
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ]
  },
  "blue door": {
    "position": [
      -3,
      5
    ]
  },
  "table": {
    "position": [
      6,
      3
    ]
  },
  "bike": {
    "position": [
      6,
      4
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  }
}

THINK:
I am currently at the table in Room 2, facing East.
The last action "JumpTo(green door)" failed because the green door was not in my FOV. I was facing East, so the green door (to the West) was behind me.
The subsequent `Observe()` showed "No objects in field of view".
So my Local Cognitive Map should reflect my current empty view.

FINAL ANSWER:
{
"origin": "agent",
"objects": {}
}

THINK:
I am currently at the table in Room 2, facing East.
The last action "JumpTo(green door)" failed because the green door was not in my FOV. I was facing East, so the green door (to the West) was behind me.
The subsequent `Observe()` showed "No objects in field of view".
So my Local Cognitive Ma...

{
  "origin": "agent",
  "objects": {}
}

{
  "origin": "agent",
  "objects": {}
}

THINK:
I am at the table (position *). My last action "JumpTo(green door)" failed because the green door was not visible from my current orientation (East) at the table. I rotated to check East and saw nothing.
I need to select points in unexplored regions based on the provided map.
The map shows two main rooms revealed so far.
Left room: Contains D, E, J, B, K, A. There is a door (+) connecting it to the right room. There is also a door on the top wall leading to an unexplored area (dots above the left room).
Right room: Contains *, I, G, C, L, H, F. I am at *.
The door between rooms is at A.
The top door in the left room leads to an area represented by dots above it.
Unexplored regions are areas where I haven't been or observed thoroughly.
The area North of the left room (above the top door) is completely unexplored.
Points in the left room (Room 1): D, E, J, K, B. I started there but quickly left. I saw a blue door but didn't go through it.
Points in the right room (Room 2): I, G, C, L, H, F. I am here. I looked North, South, East.
The question asks for points located in unexplored/unobserved regions.
The region above the left room (where the blue door presumably leads) is definitely unexplored. There are no labeled points there in the ASCII map provided? Wait, the map has `.` in the top left block.
Let's look closely at the map.
The left room has a door `+` on its North wall.
The right room has a door `+` on its West wall connecting to the left room.
Points:
A: At the doorway between rooms.
B: In the middle of the left room.
C, G, H, I, L: In the right room around the table/truck area.
D, E, J, K: In the left room.
F: In the North-East corner of the right room.

What counts as "unexplored"? I have been in the left room (start) and right room. I have NOT been through the North door of the left room.
Are there any points labeled in the area "through the blue door"? No labels are visible in the top left room block in the ASCII map.
However, I have not visited the corners of the rooms or specific objects in the left room (like D, E, J, K).
But "unexplored/unobserved regions" usually implies areas outside the current known bounds or behind doors not yet traversed.
Looking at the ASCII map again:
Top left block: `......` rows. No letters there.
Left room: D, E, J, K, B.
Right room: F, I, G, C, L, H.
Gateway A is the connection.

Maybe the "unexplored" points are simply the ones I haven't visited or seen clearly?
The prompt asks to select points located in unexplored regions.
Actually, looking at the ASCII, the points A-L are all inside the two rooms I've been in or near.
The area *north* of the left room is the "Room 3" presumably (through the blue door).
Wait, looking at the map structure:
Left room (Room 1): contains D, E, J, K, B.
Right room (Room 2): contains F, G, H, I, L, C.
I started in Room 1. I saw "blue door" (North wall) and "green door" (East wall).
I went to Room 2 (green door).
So the top block `......` is Room 3.
The points A-L are in Room 1 and Room 2.
Are any points in "unexplored regions"?
Technically, Room 1 is "explored" in the sense I was there, but I didn't visit the objects.
Room 2 is "explored".
Room 3 is "unexplored".
There are NO candidate points A-Z in the top block (Room 3).
This is tricky. Perhaps the question implies which points *border* or *lead to* unexplored regions? No, it asks for points *in* unexplored regions.
Or maybe the map shows areas I haven't *observed* yet.
In Room 2, I looked North (saw bike/chair), South (saw truck), East (saw nothing).
I haven't looked closely at the corners or behind objects.
However, the most distinct "unexplored region" is Room 3. Since no points are there, maybe I should look for points that are *unobserved*.
I observed the center of Room 2 (table, *) and looked N, S, E.
I observed Room 1 from (0,0) facing North. I saw doors. I didn't see objects D, E, J, K, B explicitly identified as "laptop", "pan", etc. (I only saw doors).
So, technically, the objects in Room 1 (candidates D, E, J, K, B) are unobserved/unidentified.
Also, in Room 2, is F unobserved? F is in the North-East. I looked East and saw nothing. I looked North and saw bike/chair. F might be in a blind spot or just empty space.
I'll assume points in Room 1 (which I left immediately without scanning for objects) are the best candidates for "unobserved" regions relative to my current knowledge state (I only know doors there).

Let's re-read: "Select the points that are located in unexplored/unobserved regions."
Room 1 objects (D, E, J, K, B) were never observed. I only observed doors.
So D, E, J, K, B are in an unobserved state.
In Room 2, I have observed the table, bike, chair, truck.
Points C, G, H, I, L are likely corresponding to these or nearby.
A is the door.
F is in the corner.
So, the set of unobserved points is likely the ones in Room 1.

Let's verify the map again.
Start (0,0) is likely in the bottom left of Room 1? No, the map shows Room 1 on the left.
I started in Room 1.
I jumped to green door (A).
I jumped to table (*) in Room 2.
Points D, E, J, K, B are in Room 1. I have not observed any objects in Room 1, only doors.
Therefore, D, E, J, K, B are unobserved.
Is F unobserved? It's in the top right. I looked North and East. It might be covered.
Is C, L, H unobserved? They are near the truck/south. I saw the truck.
I will select the points in Room 1 as the primary unobserved set.

FINAL ANSWER:
{
"unexplored": ["B", "D", "E", "J", "K"]
}

THINK:
I am at the table (position *). My last action "JumpTo(green door)" failed because the green door was not visible from my current orientation (East) at the table. I rotated to check East and saw nothing.
I need to select points in unexplored regions based on the provided map.
The map shows tw...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####F.....#
###...B..#......#
###.....A+..I.*.#
###......#.G....#
###.J....#C.L...#
###D....E#H.....#
###....K.########
#################

Cannot jump to 'green door': object not visible. Subsequent actions are skipped due to failure, instead an observe is executed: You observe: No objects in field of view..
You have a maximum of 14 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

Cannot jump to 'green door': object not visible. Subsequent actions are skipped due to failure, instead an observe is executed: You observe: No objects in field of view..
You have a maximum of 14 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL A...

I made a mistake. I am at the table facing East, and the green door is to the West (behind me). I cannot jump to objects outside my FOV.
I need to turn to face the green door.
I will rotate 180 degrees to face West. Then I will observe to confirm visibility of the green door and potentially other objects I might have missed (like the truck again).

I made a mistake. I am at the table facing East, and the green door is to the West (behind me). I cannot jump to objects outside my FOV.
I need to turn to face the green door.
I will rotate 180 degrees to face West. Then I will observe to confirm visibility of the green door and potentially other ob...

THINK:
I need to construct the JSON map based on my observations.

**History:**
1. **Initial (0,0, North):**
* `green door`: Front-slight-right (North-East), mid distance (~2-4), on right wall (East wall of Room 1). Estimated position: (2, 2) or (3, 2). Let's assume Room 1 is roughly defined by walls. If green door is on the "right wall", and I am at (0,0), the wall is at X > 0.
* `blue door`: Front-left (North-West), slightly far (4-8), on front wall (North wall of Room 1). Estimated position: (-2, 4) or (-1, 5).

2. **Jump to `green door`, Rotate 90 (Facing East):**
* Now at `green door` position. Facing East into Room 2.
* `bike`: Front-slight-left (North-East relative to door), slightly far. Facing "right" (South).
* `truck`: Front-right (South-East relative to door), mid distance. Facing "left" (North).
* `chair`: Front-left (North-East relative to door), mid distance. Facing "backward" (West).
* `table`: Front (East), slightly far.
* Relations: Bike is North of Chair (near), Bike is West of Table (near).
* Inferences:
* Green door is at `(x_gd, y_gd)`.
* Table is East of GD. `(x_gd + 5, y_gd)`.
* Bike is North-East of GD. `(x_gd + 2, y_gd + 3)`.
* Chair is North-East of GD. `(x_gd + 2, y_gd + 2)`.
* Truck is South-East of GD. `(x_gd + 3, y_gd - 3)`.

3. **Jump to `table`, Rotate -90 (Facing North):**
* Now at `table` position.
* `bike`: Front (North), near (dist <= 2). Facing "backward" (South). Confirms Bike is North of Table.
* `chair`: Front-left (North-West), mid distance. Facing "left" (West). Confirms Chair is NW of Table.
* Rel: Bike is East of Chair (near). wait, previous said "Bike is North, near to Chair". Let's reconcile.
* From GD (facing East): Bike is front-slight-left, Chair is front-left. Chair is more "left" (North) than Bike? No, "front-left" is >22.5 deg, "front-slight-left" is <22.5 deg. So Chair is more North than Bike relative to the East axis? Or more West?
* Let's use the explicit relation: "bike is north, near to chair".
* From Table (facing North): Bike is Front (North). Chair is Front-Left (NW). Relation: "bike is east, near to chair".
* This contradicts "bike is north of chair". "Bike is East of Chair" means Chair is West of Bike.
* If Bike is North of Table, and Chair is West of Bike, then Chair is NW of Table. Consistent.

4. **Jump to `table`, Rotate 180 (Facing South):**
* `truck`: Front-right (South-West), mid distance. Facing "backward" (North).
* Position update: Truck is SW of Table.

5. **Jump to `table`, Rotate -90 (Facing East):**
* No objects.

6. **Rotate 180 (Facing West):**
* `truck`: Front-left (South-West), mid dist.
* `chair`: Front-right (North-West), mid dist.
* `green door`: Front (West), slightly far.
* This confirms Table is East of Green Door.

**Coordinates Estimation:**
* **Agent (Current):** At `table`. Facing West.
* **Green Door:** West of Table. Distance "slightly far" (4-8). Let's say dist 5.
* Let Green Door be at (3, 2) based on Room 1 observation.
* Then Table is at (3+5, 2) = (8, 2).
* **Bike:** North of Table, near (dist ~2). Position: (8, 4). Facing South.
* **Chair:** West of Bike (near). Position: (6, 4). Facing West.
* **Truck:** South-West of Table. Mid distance (2-4). Let's say (6, -1). Facing North.
* **Blue Door:** From (0,0) facing North, it was "front-left, slightly far". Say (-2, 6).
* **Room 1:** (0,0) start. Green Door (3,2). Blue Door (-2, 6).

**Refining:**
* Start (0,0).
* Green Door: Front-slight-right (North-East). Mid dist (2-4). Let's assume (2, 2).
* Blue Door: Front-left. Slightly far (4-8). Let's assume (-1, 5).
* Agent is now at Table.
* Table relative to Green Door: East, slightly far. (2+5, 2) = (7, 2).
* Bike: North of Table, near. (7, 4). Facing South.
* Chair: West of Bike, near. (5, 4). Facing West.
* Truck: SW of Table, mid dist. (5, 0). Facing North.

Current Agent State: Position of Table (7, 2), Facing West.

JSON Map Construction:
* agent: [7, 2], facing "west"
* green door: [2, 2] (vertical wall, door faces East/West) - *Wait, from (0,0) it was on 'right wall', so facing West? The door is the hole. It connects Room 1 and 2.*
* blue door: [-1, 5] (on 'front wall', facing South?)
* table: [7, 2]
* bike: [7, 4], facing "south"
* chair: [5, 4], facing "west"
* truck: [5, 0], facing "north"

Let's check "green door on right wall". If I'm at (0,0) facing North, right is East. So the wall is x=const > 0. The door is in that wall.
"Blue door on front wall". Wall is y=const > 0.
"Table facing" - no facing info given in obs (just "table").
"Bike facing backward" (when seen from GD facing East -> South). Correct. "Bike facing backward" (when seen from Table facing North -> South). Correct.
"Chair facing backward" (from GD facing East -> West). "Chair facing left" (from Table facing North -> West). Correct.
"Truck facing left" (from GD facing East -> North). "Facing backward" (from Table facing South -> North). Correct.

One detail: "green door... facing right" is not given. Doors don't usually have "facing" in the obs list unless specified as an object attribute. The prompt says "Gate's orientation: report wall position".
I will output coordinates based on this rough grid.

Coordinates:
Agent (table): [7, 2], facing West.
Green Door: [2, 2].
Blue Door: [-1, 5].
Bike: [7, 4], facing South.
Chair: [5, 4], facing West.
Truck: [5, 0], facing North.
Table: [7, 2].

I'll round to integers.
Green Door dist from (0,0): sqrt(2^2+2^2) = 2.8 (mid distance 2-4). Fits.
Blue Door dist from (0,0): sqrt((-1)^2+5^2) = 5.1 (slightly far 4-8). Fits.
Table dist from GD: 5 (slightly far 4-8). Fits.
Bike dist from Table: 2 (near 0-2). Fits.
Chair dist from Bike: 2 (near). Fits.
Truck dist from Table: sqrt(2^2+2^2) = 2.8 (mid distance). Fits.

FINAL ANSWER:
{
"agent": {"position": [7, 2], "facing": "west"},
"green door": {"position": [2, 2]},
"blue door": {"position": [-1, 5]},
"bike": {"position": [7, 4], "facing": "south"},
"chair": {"position": [5, 4], "facing": "west"},
"truck": {"position": [5, 0], "facing": "north"},
"table": {"position": [7, 2]}
}

THINK:
I need to construct the JSON map based on my observations.

**History:**
1. **Initial (0,0, North):**
* `green door`: Front-slight-right (North-East), mid distance (~2-4), on right wall (East wall of Room 1). Estimated position: (2, 2) or (3, 2). Let's assume Room 1 is roughly defined ...

{
  "agent": {
    "position": [
      7,
      2
    ],
    "facing": "west"
  },
  "green door": {
    "position": [
      2,
      2
    ]
  },
  "blue door": {
    "position": [
      -1,
      5
    ]
  },
  "bike": {
    "position": [
      7,
      4
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      5,
      4
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      5,
      0
    ],
    "facing": "north"
  },
  "table": {
    "position": [
      7,
      2
    ]
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "west"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      6,
      3
    ],
    "facing": "west"
  }
}

THINK:
I am at the `table` facing West (global West).
My local frame is:
- +y (forward) = West
- +x (right) = North
- -x (left) = South
- -y (backward) = East

I observe:
1. `truck`: front-left. Front is +y, left is -x. So (-x, +y). Distance is mid (~3-4). Facing "right". Global "right" relative to the truck? Or relative to me? Usually, facing is described relative to the agent's view or allocentric. The prompt says "facing right" in the observation. Let's look at the previous observation of the truck from the green door (facing East): "facing left". If I was facing East and it faced left, it faced North. Now I am facing West. If it faces North, that is my Right. So "facing right" means facing North (+x in local frame).
2. `chair`: front-right. Front is +y, right is +x. So (+x, +y). Distance mid. Facing "forward". "Forward" usually means same direction as agent? Or facing the agent? From green door (facing East), chair was "facing backward" (West). Now I am facing West. If chair faces West, it is facing same as me ("forward"). Wait, "facing backward" usually means facing the viewer? Or facing away? Let's assume standard conventions.
- Observation 2 (facing East): chair facing "backward".
- Observation 4 (facing North): chair facing "left" (West).
- Observation now (facing West): chair facing "forward" (West).
- Consistent: Chair faces West. In local frame (facing West), West is +y. So chair faces +y.
3. `green door`: front, slightly far. (+y). On front wall.

Let's estimate coordinates.
Agent at (0,0) local.
Green door: "front, slightly far" -> (0, 6) roughly.
Truck: "front-left, mid" -> (-3, 3).
Chair: "front-right, mid" -> (3, 3).

Truck facing: The observation says "facing right". My right is North. So truck faces North (+x local).
Chair facing: The observation says "facing forward". My forward is West. So chair faces West (+y local).

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"truck": {"position": [-3, 3], "facing": "+x"},
"chair": {"position": [3, 3], "facing": "+y"},
"green door": {"position": [0, 6], "facing": "-y"}
}
}

THINK:
I am at the `table` facing West (global West).
My local frame is:
- +y (forward) = West
- +x (right) = North
- -x (left) = South
- -y (backward) = East

I observe:
1. `truck`: front-left. Front is +y, left is -x. So (-x, +y). Distance is mid (~3-4). Facing "right". Global "right" relative to...

{
  "origin": "agent",
  "objects": {
    "truck": {
      "position": [
        -3,
        3
      ],
      "facing": "+x"
    },
    "chair": {
      "position": [
        3,
        3
      ],
      "facing": "+y"
    },
    "green door": {
      "position": [
        0,
        6
      ],
      "facing": "-y"
    }
  }
}

{
  "truck": {
    "position": [
      -2,
      2
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      0,
      5
    ],
    "facing": "east"
  },
  "chair": {
    "position": [
      2,
      2
    ],
    "facing": "west"
  }
}

{
  "origin": "agent",
  "objects": {
    "truck": {
      "position": [
        -3,
        3
      ],
      "facing": "+x"
    },
    "chair": {
      "position": [
        3,
        3
      ],
      "facing": "+y"
    },
    "green door": {
      "position": [
        0,
        6
      ],
      "facing": "-y"
    }
  }
}

THINK:
I am at the table (marked with *) in Room 2 (the right room).
I am facing West (towards the green door, marked with +).
Room 1 is the left room.
I started at (0,0) in Room 1 (bottom left area, probably near where candidates B, E are).
The green door connects the two rooms.
The blue door was seen on the North wall of Room 1.
Candidates:
A: In Room 1, North part. I saw a blue door on the "front wall" (North) from (0,0). I haven't gone through it. Area A is near or past the blue door, likely unexplored.
B, E: Near the start position (0,0). I have observed from here. Likely explored or observed floor. However, the prompt asks for "unexplored/unobserved regions". I observed the doors from (0,0), but didn't exhaustively check every corner. Still, the area around (0,0) is observed.
C, D, F: These are in Room 1. C and D look like objects I might encounter. Wait, the prompt says "Select the points that are located in unexplored/unobserved regions."
My trajectory:
1. (0,0) Room 1, Face North. Observed green door (East wall) and blue door (North wall).
2. Jump to green door (East wall). Rotated to Face East (Room 2). Observed Room 2 objects.
3. Jump to table in Room 2. Explored Room 2.
Current State: At table (Room 2), facing West.
I have NOT explored the area behind the Blue Door. From (0,0), the blue door was "front-left, slightly far". I haven't opened it or looked through it. So Room 3 (presumably behind blue door) is unexplored.
Looking at the map:
The map shows Room 1 (left) and Room 2 (right).
The green door is the horizontal connection between them.
There is another door "+" on the North wall of Room 1. This matches the "blue door".
Candidate A is in the room *above* Room 1, behind the second door. I have never been there and never seen through that door. So A is definitely in an unexplored region.
Candidates B, C, D, E, F are all inside Room 1.
I started at (0,0) which is bottom-left. The map coordinates say (0,0) is bottom-left.
In the map provided:
- The right room contains the agent (*).
- The left room contains B, E, C, D, F.
- The room above the left room contains A.
I was at (0,0) (likely near B/E) and looked North. I saw the green door (to my right/East) and the blue door (to my front-left/North).
I have observed the space in Room 1 from (0,0).
I have NOT observed the space BEHIND the blue door (the room with A).
Are B, C, D, E, F considered unexplored? I stood at (0,0) and observed. My FOV is 90 degrees North.
From (0,0) facing North:
- Front-right: Green door.
- Front-left: Blue door.
The area directly to the left (West) or behind (South) of (0,0) was not seen, but (0,0) is usually near a wall if it's the corner. If (0,0) is bottom-left, facing North covers the room interior generally.
However, I haven't "visited" them or looked closely at objects there (I only saw doors initially). Wait, the first observation:
"green door: front-slight-right... blue door: front-left..."
No other objects were reported in Room 1.
So C, D, F (which look like object locations or just space) were in the FOV (North/North-East/North-West from origin) but no objects were reported. They are "observed empty space" or just "observed".
A is behind a door I haven't jumped to. So A is definitely unobserved.
Is there any other unobserved area?
The prompt asks for points in "unexplored/unobserved regions".
A is in a completely different room (Room 3?) that I haven't accessed.
B, C, D, E, F are in Room 1. I have been in Room 1. I observed the room from (0,0).
Usually, "unexplored" in these tasks refers to rooms not yet entered or areas behind occlusions.
The area A is clearly behind the blue door.
The areas B,C,D,E,F are in the room I started in.
Therefore, A is the most correct answer.

FINAL ANSWER:
{
"unexplored": ["A"]
}

THINK:
I am at the table (marked with *) in Room 2 (the right room).
I am facing West (towards the green door, marked with +).
Room 1 is the left room.
I started at (0,0) in Room 1 (bottom left area, probably near where candidates B, E are).
The green door connects the two rooms.
The blue door was s...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####......#
###...A..#......#
###......+....*.#
###....F.#......#
###...DC.#......#
###..BE..#......#
###......########
#################

You rotated clockwise 180°. You observe:
• truck: front-left, mid distance, facing right
• chair: front-right, mid distance, facing forward
• green door: front, slightly far, on front wall.
You have a maximum of 13 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated clockwise 180°. You observe:
• truck: front-left, mid distance, facing right
• chair: front-right, mid distance, facing forward
• green door: front, slightly far, on front wall.
You have a maximum of 13 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next s...

I am at the table in Room 2, facing West. I can see the green door in front of me.
I need to go to Room 1 to check the blue door.
I will jump to the green door.
Once at the green door, I am facing West (into Room 1). The blue door is on the North wall of Room 1.
From the green door (East wall of Room 1), looking West, the North wall is to my right.
I should rotate 90 degrees (clockwise) to face North. This will put the blue door in my FOV (hopefully) or at least orient me correctly to jump to it.
Wait, if I am at the green door facing West, rotating 90 degrees clockwise makes me face North. The blue door is on the North wall. If I am on the East wall, facing North looks along the East wall. The North wall is to the Front-Left? No, if I am on East wall facing North, the North wall is Front.
Let's re-evaluate Room 1 geometry.
Initial pos (0,0) facing North. Green door observed front-right (Right/East wall). Blue door observed front-left (Front/North wall).
So Green door is at (X, 0) approx? No, (X, Y). If (0,0) is center, Green door is East, Blue door is North.
If I am at Green Door facing West, I am looking towards (0,0). North is to my Right.
So I should Rotate 90 (to face North). Then the Blue Door (on North wall) should be visible, likely to the West (Left) or straight ahead depending on coordinate geometry.
Let's try Jumping to Green door and Rotating 90 to face North.

I am at the table in Room 2, facing West. I can see the green door in front of me.
I need to go to Room 1 to check the blue door.
I will jump to the green door.
Once at the green door, I am facing West (into Room 1). The blue door is on the North wall of Room 1.
From the green door (East wall of Roo...

THINK:
I am currently at the green door facing North. The observe returned "No objects in field of view".
This is strange because the blue door is on the North wall of Room 1.
Let's reconstruct the positions.
Initial: (0,0) facing N.
Green door: front-slight-right (mid dist). Means x>0, y>0 (probably). Right wall.
Blue door: front-left (slightly far). Means x<0 or x~0, y>0. Front wall.
If I am at Green door (e.g. 5, 2) facing North, and I see nothing, maybe the blue door is to my West (left) and outside the 90-degree FOV (which covers NW to NE). If Blue door is at (0, 8), and I am at (5, 2), relative angle is atan2(6, -5) = roughly 130 deg (North West). My FOV facing North is -45 to +45 relative (North West is out).
Wait, FOV is 90 degrees centered? Or just a cone? Usually [-45, 45].
If I am at Green door facing North, I look at y increases. If Blue door is to the West (x decreases), I won't see it.
I need to turn West to see the Blue door.

Cognitive Map Construction:
1. **Agent**: At `green door`, facing `north`.
2. **Room 1**:
* `green door`: Let's fix it. From (0,0) N, it was front-slight-right (0 to 22.5 deg). Mid dist (2-4). Let's say dist 3, angle 15 deg. x = 3sin15 = 0.8, y = 3cos15 = 2.9. Wait, "on right wall" suggests it's on the East boundary. Let's assume Room 1 is width 4, height 6?
* Better relative coords:
* Green door: relative to (0,0) is East-ish. Let's assign coordinates based on steps.
* Jump to green door was valid.
* `blue door`: From (0,0) N, front-left (-45 to -22.5 deg). Slightly far (4-8). On front (North) wall.
3. **Room 2**:
* Accessed via green door.
* `table`: From green door (facing E), "front, slightly far". So table is East of green door.
* `bike`: From green door (facing E), "front-slight-left". North-East of green door.
* `chair`: From green door (facing E), "front-left". North-East of green door.
* `truck`: From green door (facing E), "front-right". South-East of green door.
* Bike is "west, near to table" (from table facing N). Wait, from table facing N, bike is West?
* Observation 3 (Table, facing N): Bike is "front, near". Front is North.
* Wait, Observation 2 (Green door, facing E): Bike is "north, near to chair".
* Let's reconcile.
* Green door (GD). Table (T) is East of GD.
* Bike (B) is North of T? Observation 3 says "bike: front" when at Table facing N. Yes.
* Chair (C) is West of B? Obs 3: "chair: front-left". Yes, NW of Table.
* Truck (Tr): South of T? Obs 4 (Table facing S): "truck: front-right". Front-right of S is SW. So Truck is SW of Table.
* Obs 2 says Truck is SE of GD.
* GD (West) -> Table (East). Truck is SW of Table. This is consistent.

Coordinates Estimate:
Let (0,0) be initial.
Green Door (GD): (3, 2). (Front-slight-right from 0,0).
Table (T): (7, 2). (East of GD, slightly far ~4 units).
Bike (B): (7, 4). (North of Table ~2 units).
Chair (C): (5, 4). (West of Bike ~2 units, or NW of Table).
Truck (Tr): (6, 0). (SE of GD, SW of Table).
Blue Door (BD): From (0,0) front-left, slightly far. Say (-2, 5). On North wall.

Current State:
Agent at GD (3,2), facing North.

FINAL ANSWER:
```json
{
"agent": {"position": [3, 2], "facing": "north"},
"green door": {"position": [3, 2], "facing": "east"},
"blue door": {"position": [-2, 5], "facing": "south"},
"table": {"position": [7, 2], "facing": "west"},
"bike": {"position": [7, 4], "facing": "south"},
"chair": {"position": [5, 4], "facing": "east"},
"truck": {"position": [6, 0], "facing": "west"}
}
```

THINK:
I am currently at the green door facing North. The observe returned "No objects in field of view".
This is strange because the blue door is on the North wall of Room 1.
Let's reconstruct the positions.
Initial: (0,0) facing N.
Green door: front-slight-right (mid dist). Means x>0, y>0 (probabl...

{
  "agent": {
    "position": [
      3,
      2
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      3,
      2
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -2,
      5
    ],
    "facing": "south"
  },
  "table": {
    "position": [
      7,
      2
    ],
    "facing": "west"
  },
  "bike": {
    "position": [
      7,
      4
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      5,
      4
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      6,
      0
    ],
    "facing": "west"
  }
}

{
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      1,
      3
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      1,
      3
    ],
    "facing": "north"
  }
}

THINK:
I am currently at the green door facing North. The Observe() returned "No objects in field of view". This is strange because I expected to see *something* in Room 1 or Room 2.
Wait, the green door connects Room 1 and Room 2. When I am *at* the door, I can see into both rooms *within my FOV*.
My current FOV is North (Global).
Room 1 is to the West of the green door. Room 2 is to the East.
Facing North, my FOV covers North-West to North-East.
In Room 1 (West), the blue door is on the North wall.
In Room 2 (East), the bike and chair are to the North.
Why did I see nothing?
Possible reasons:
1. The objects are outside the 90-degree cone or blocked.
2. The "green door" position is such that facing North looks at a wall or empty space.
Re-evaluate geometry:
- Room 1: Agent start (0,0) facing N. Green door (Right/East). Blue door (Front/North).
- Room 2: Entered via Green door. Truck (South-East), Table (East), Bike/Chair (North-East).
I am at Green door. Room 1 is to my Left (West). Room 2 is to my Right (East).
Facing North:
- Left side of FOV (North-West) looks into Room 1's North-East corner.
- Right side of FOV (North-East) looks into Room 2's North-West corner.
If I see nothing, maybe the Blue door is further West in Room 1 (not in the NE corner). Maybe Bike/Chair are further East in Room 2.

Cognitive Map construction:
I need to output the Local Cognitive Map based on the *current observation*.
Current observation: "No objects in field of view."
Therefore, the objects list is empty.

FINAL ANSWER:
{
"origin": "agent",
"objects": {}
}

THINK:
I am currently at the green door facing North. The Observe() returned "No objects in field of view". This is strange because I expected to see *something* in Room 1 or Room 2.
Wait, the green door connects Room 1 and Room 2. When I am *at* the door, I can see into both rooms *within my FOV*.
...

{
  "origin": "agent",
  "objects": {}
}

{
  "origin": "agent",
  "objects": {}
}

THINK:
I am currently at the green door (marked with `*` on the map).
The map shows Room 1 on the left and Room 2 on the right.
Room 1 is the larger room on the left (West). Room 2 is the room on the right (East).
The green door connects them.
I am facing North (Up).
The map shows points A, B, C, D, E, F in Room 2 (right side). Wait, looking at the map:
Room 1 (initial room) is the bottom-left one? Let's check the trace.
Initial pos (0,0). Saw Green door (East) and Blue door (North).
So Room 1 is the bottom-left / bottom-center room.
Room 2 is to the East (through Green door).
The map shows `*` at the doorway between a left room and a right room.
The points A, B, C, E, F are in the Left room. D is in the Left room too? No, D is near the top of the Left room.
Wait, if I started in Room 1 and jumped to Green Door (East), I am now at the boundary.
Previously I explored Room 2 (the right room). I saw bike, chair, truck, table.
The current map shows the agent `*` at the door.
The area to the LEFT of the door (Room 1) has points A, B, C, D, E, F.
I have observed Room 1 only from (0,0) facing North at the very beginning. I saw a blue door and green door. I did not see any objects (laptop, etc) in Room 1 yet? Actually, the first observation said: "green door... blue door...". It did not mention any objects.
So Room 1's interior is largely unexplored for objects.
The area to the RIGHT of the door (Room 2) is where I just came from (table, truck, etc).
The points A, B, C, D, E, F are scattered in the Left Room (Room 1).
A is near the bottom. B is near the bottom right. C is near the middle. E is near middle left. F is near bottom left. D is near the top left.
Since I only stood at (0,0) and looked North, and then jumped to the door, areas behind (South) or to the far West might be unexplored.
However, (0,0) is usually the start.
If I look at the map provided:
The `*` is at the door.
The room to the left is Room 1.
The room to the right is Room 2.
The points A-F are in Room 1.
Since I started at (0,0) in Room 1 and looked North, I saw the North wall (Blue door) and East wall (Green door). I might have missed things in the South or West if my FOV was limited or occluded, or simply if I didn't look there. I never rotated in Room 1. I only did `Observe()` facing North.
So, the region "behind" (South) and "left" (West) of the initial start point, or simply areas not covered by a single North-facing view from (0,0), are unexplored.
Assuming (0,0) is somewhere centrally or bottomly located.
The map shows A, B, C, E, F in the lower/middle part of Room 1. D is upper part.
I observed North from (0,0). I likely saw the corridor/space leading to the blue door.
D is near where the Blue door would be (North wall). So D is likely observed or close to observed area.
A, B, C, E, F are in the main body.
If I started at (0,0) and looked North, I would see a cone.
Objects to the West (left) or South (behind) would be unseen.
Without knowing exact (0,0) on this ASCII map, I have to guess based on "unexplored".
I haven't walked around Room 1. I only looked from one point.
So most of Room 1 is technically "visited" (I was there) but not fully "scanned" (I didn't rotate).
Therefore, points in Room 1 that are not in the immediate North cone of the start position are unexplored.
However, usually, "unexplored" in these tasks refers to rooms/areas I haven't entered or seen into.
But I have been in Room 1.
Let's look at the candidates again.
A, B, C, E, F are in Room 1.
D is in Room 1.
I have explored Room 2 (Right side).
I have NOT explored Room 3.
The map shows a third room?
Actually, the map shows:
Left Room (Room 1).
Right Room (Room 2).
Is there a Room 3? The prompt says "Imagine 3 rooms".
The map shows a door `+` on the North wall of Room 1. That leads to the Upper Room (Room 3?).
The points A-F are inside Room 1.
I haven't thoroughly searched Room 1 for objects (laptop, pan, etc). I only saw doors.
So the interior of Room 1 is largely unverified regarding objects.
But are they "unexplored regions"?
Usually, points in the current room that haven't been seen are unexplored.
Since I only looked North from (0,0), areas to the West and South are unseen.
If (0,0) is at the bottom, facing North covers the middle.
West (Left part of map) and East (Right part of map) might be missed?
Actually, FOV is 90 degrees.
If I am at `(x,y)` facing North, I see `(x-y to x+y)` cone.
Point F is Far West. Point B is East (near the door I am at).
Point A is South-ish?
Point D is North.
I have definitely seen the North wall (Blue door). So D is likely in observed region.
Points F, E (West) might be unobserved.
Points A, B (South/East) might be unobserved if I started further North?
Wait, the prompt says "initial position... treat as (0,0)".
If the room is bounded by walls, (0,0) is likely inside.
If I saw the Green door (on right/East wall) and Blue door (on front/North wall), I am likely in the South-West or South-Center.
So looking North covers the center-right to center-left.
The far West (F, E) and the area behind me (South - A?) might be unobserved.
However, the Fog Probe asks for "unexplored/unobserved regions".
Given I haven't done a 360 in Room 1, the areas outside my initial 90 deg cone are unobserved.
Candidates:
A: Central/Bottom.
B: Bottom Right.
C: Central.
D: Top Left (near Blue door?).
E: Left.
F: Far Left.
I saw the Blue Door (North) and Green Door (East).
My view covered North-East to North-West.
So I likely saw D (North).
I likely saw C (Center).
I likely saw B (if it's near Green door).
I probably didn't see F (Far West/South West) or A (if it's South).
Actually, simpler logic: I haven't been to Room 3 (Top room via Blue door). Are there points there?
The map shows `+` on top of Room 1. There are no candidate points A-Z drawn in the top room or the right room. All points A-F are in Room 1.
So the question is which parts of Room 1 are unobserved.
I only looked North.
So West (Left), South (Bottom), and East (Right - though I saw the door there) might be tricky.
I saw the Green door on the Right. So I saw the East wall.
I saw the Blue door on the Front. So I saw the North wall.
I did NOT see the West wall or South wall.
So points near the West wall (F, E) and South wall (A?) are unobserved.
Let's select F, E, A.
Maybe C? It's in the middle.
D is near the North wall, I likely saw it.
B is near the East wall, I likely saw it (saw Green door).
So F, E, A seems correct.
Let's verify positions on map visually.
Map height is about 8 units for Room 1. Width is about 8 units.
(0,0) is likely near bottom left or center.
If (0,0) is bottom-center:
Facing North: See D, C.
Miss F, E (West). Miss A, B (South/East? No, B is East).
If I saw Green door on Right, I saw East. So B is likely seen.
If I saw Blue door on Front, I saw North. So D is likely seen.
Unseen: West (F, E) and South (A).
So A, E, F.

FINAL ANSWER:
{
"unexplored": ["A", "E", "F"]
}

THINK:
I am currently at the green door (marked with `*` on the map).
The map shows Room 1 on the left and Room 2 on the right.
Room 1 is the larger room on the left (West). Room 2 is the room on the right (East).
The green door connects them.
I am facing North (Up).
The map shows points A, B, C, D,...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####......#
###.D....#......#
###......*......#
###F.EC..#......#
###..A..B#......#
###......#......#
###......########
#################

You jumped to green door. You rotated clockwise 90°. You observe: No objects in field of view..
You have a maximum of 12 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to green door. You rotated clockwise 90°. You observe: No objects in field of view..
You have a maximum of 12 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am at the green door facing North. I see nothing. This is strange because the blue door was "front-left" from (0,0) facing North. The green door was "front-slight-right".
This implies the green door is further South or East than the blue door.
If I am at the green door facing North and see nothing, the blue door might be to my Left (West) or behind the FOV.
My FOV is 90 degrees (front).
If the blue door is on the North wall, and I am at the Green Door (East wall), facing North might just look at the North-East corner which might be empty.
I need to look West or North-West to see the rest of Room 1.
Since I am at the Green Door, I can see into Room 1.
I will rotate -90 (counter-clockwise) to face West. This looks into the center of Room 1. I should see the blue door (North wall) on my right, or at least the objects in Room 1 if any exist (none seen initially besides doors).
Actually, the initial observation from (0,0) facing North saw the blue door at "front-left".
If I face West from the Green Door, I should see the area where (0,0) was.
Let's rotate -90 to face West and observe.

I am at the green door facing North. I see nothing. This is strange because the blue door was "front-left" from (0,0) facing North. The green door was "front-slight-right".
This implies the green door is further South or East than the blue door.
If I am at the green door facing North and see nothing...

THINK:
I need to construct the JSON map based on my observations.
Initial Position: (0,0) facing North.
Observations from (0,0) facing North:
- Green Door: front-slight-right (North-East), mid distance (~3-4m).
- Blue Door: front-left (North-West), slightly far (~4-8m).

Observations from Green Door (facing East, into Room 2):
- Bike: front-slight-left (North-East), slightly far.
- Truck: front-right (South-East), mid distance.
- Chair: front-left (North-East), mid distance.
- Table: front (East), slightly far.

Observations from Table (Room 2):
- Table position: Let's approximate. Green Door is East of (0,0). Let's say Green Door is at (3, 2). Table is East of Green Door, say at (8, 2).
- From Table facing North: Bike (near, North), Chair (mid, North-West).
- From Table facing South: Truck (mid, South-West).

Observations from Green Door (facing West, into Room 1):
- I am at Green Door, facing West.
- Laptop: front-left (South-West).
- Pan: front-left (South-West).
- Teddybear: front-slight-left (West-South-West).
- Desklamp: front-slight-right (West-North-West).
- Blue Door: front-right (North-West).

Let's assign approximate coordinates.
Agent Start: (0,0). Facing North.
Green Door: Observed front-slight-right. Let's place it at (3, 2).
Blue Door: Observed front-left from (0,0). Observed front-right from Green Door(facing West).
From Green Door (3,2) facing West: Front-Right is North-West relative to global. This matches (0,0) observation.
Let's guess Blue Door is at (-2, 5).

Room 2 Objects (Relative to Green Door at (3,2)):
- Table: East of Green Door. Distance slightly far (~5). Pos: (8, 2).
- Bike: North of Table. Near. Pos: (8, 4).
- Chair: West of Bike? "bike is east, near to chair". So Chair is West of Bike. Pos: (6, 4).
- Truck: South-West of Table. From Table facing South, Truck is front-right (South-West). Pos: (6, -1).

Room 1 Objects (Relative to Green Door at (3,2), facing West):
- Laptop: Front-Left (South-West relative to agent facing West -> South-East global? No. Facing West, Left is South. Front-Left is South-West). So Laptop is South-West of Green Door. Pos: (0, -2).
- Pan: Front-Left. Close to Laptop?
- Teddybear: Front-slight-left (West-South-West). Pos: (-2, 0).
- Desklamp: Front-slight-right (West-North-West). Pos: (-1, 3).
- Blue Door: Front-right (North-West). North wall. Pos: (-2, 5).

Let's refine coordinates for a consistent grid.
Green Door: (4, 0). (Directly East? Initial view was front-slight-right. Maybe (3, 3)). Let's stick to (3, 3) for Green Door.
Blue Door: (-2, 5).

Room 2 (East of Green Door):
Table: (8, 3).
Bike: (8, 5).
Chair: (6, 5).
Truck: (6, 0).

Room 1 (West of Green Door):
Green Door at (3,3). Agent facing West.
Laptop: South-West of (3,3). Front-Left. (-1, 0)?
Teddybear: West of (3,3). (-2, 2)?
Desklamp: North-West of (3,3). (0, 5)?

Wait, I need to list objects I have *observed*.
Observed: green door, blue door, bike, truck, chair, table, laptop, pan, teddybear, desklamp.
Agent is currently at "green door". Let's say (3,3). Facing West.

Coordinates don't need to be perfect, just topologically consistent.
Let's set:
Agent: (3,3), facing West.
Green Door: (3,3).
Blue Door: (-2, 6).
Table: (8, 3).
Bike: (8, 5).
Chair: (6, 5).
Truck: (6, 1).
Laptop: (0, 0).
Pan: (0, 1).
Teddybear: (-1, 2).
Desklamp: (-1, 4).

Object facings:
Bike: facing backward (South) relative to... From Green Door facing East (North is Left), Bike facing Right (South). From Table facing North, Bike facing Backward (South). Consistent. Facing: "south".
Truck: Facing Left (North) relative to Green Door facing East. Facing Backward (North) relative to Table facing South. Facing: "north".
Chair: Facing Backward (South) relative to Green Door facing East. Facing Left (West) relative to Table facing North. This is inconsistent. Let's trust "Facing Left" from Table (North). Left of North is West. Facing: "west".
Laptop: Facing Left relative to Green Door facing West. Left of West is South. Facing: "south".
Pan: Facing Left relative to Green Door facing West. Facing: "south".
Teddybear: Facing Right relative to Green Door facing West. Right of West is North. Facing: "north".
Desklamp: Facing Right relative to Green Door facing West. Facing: "north".

FINAL ANSWER:
```json
{
"agent": {"position": [3, 3], "facing": "west"},
"green door": {"position": [3, 3]},
"blue door": {"position": [-2, 6]},
"table": {"position": [8, 3]},
"bike": {"position": [8, 5], "facing": "south"},
"chair": {"position": [6, 5], "facing": "west"},
"truck": {"position": [6, 1], "facing": "north"},
"laptop": {"position": [0, 0], "facing": "south"},
"pan": {"position": [0, 1], "facing": "south"},
"teddybear": {"position": [-1, 2], "facing": "north"},
"desklamp": {"position": [-1, 4], "facing": "north"}
}
```

THINK:
I need to construct the JSON map based on my observations.
Initial Position: (0,0) facing North.
Observations from (0,0) facing North:
- Green Door: front-slight-right (North-East), mid distance (~3-4m).
- Blue Door: front-left (North-West), slightly far (~4-8m).

Observations from Green Door...

{
  "agent": {
    "position": [
      3,
      3
    ],
    "facing": "west"
  },
  "green door": {
    "position": [
      3,
      3
    ]
  },
  "blue door": {
    "position": [
      -2,
      6
    ]
  },
  "table": {
    "position": [
      8,
      3
    ]
  },
  "bike": {
    "position": [
      8,
      5
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      6,
      5
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      6,
      1
    ],
    "facing": "north"
  },
  "laptop": {
    "position": [
      0,
      0
    ],
    "facing": "south"
  },
  "pan": {
    "position": [
      0,
      1
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -1,
      2
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -1,
      4
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      1,
      3
    ],
    "facing": "west"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      1,
      3
    ],
    "facing": "west"
  }
}

THINK:
I am at the green door facing West.
I observe:
- laptop: front-left
- pan: front-left
- teddybear: front-slight-left
- desklamp: front-slight-right
- blue door: front-right

Cognitive Map Construction (relative to agent facing West):
- Agent is at (0,0) locally, facing +y (West globally).
- "front-right" (blue door) -> x>0, y>0.
- "front-slight-right" (desklamp) -> x>0, y>0 (closer to y axis).
- "front-slight-left" (teddybear) -> x<0, y>0.
- "front-left" (laptop, pan) -> x<0, y>0.

Let's estimate coordinates.
Distance bins:
- mid distance (2, 4]: say 3
- slightly far (4, 8]: say 6

blue door: front-right, slightly far. (x,y) approx (3, 5). Facing is "on right wall" relative to me facing West? The door is on the North wall of the room. Since I am facing West, North is to my Right. So the door is on the wall to my right (+x). It faces South (towards me/room). In local frame (facing +y), South is +x? No.
Global: North (+y_global), West (-x_global).
Agent facing West (-x_global).
Local +y = West. Local +x = North.
Blue door is on North wall. So it's at positive x in local frame.
It faces South (into room), which is -x local? Or -y global.
Description says "on right wall". In local frame, right is +x. So yes, on the wall at +x.
Position: slightly far (6). Angle 45 deg? (4,4). Or front-right (22.5-67.5). Maybe (2, 5).
Let's use approximate integers.
Blue door: (4, 5). Facing: into the room. If it's on the North wall, it faces South.
South in local frame (where +y=West, +x=North) is -x.
So facing "-x".

Desklamp: front-slight-right, slightly far. (1, 6). Facing right (global North). Local North is +x. So facing "+x".

Teddybear: front-slight-left, slightly far. (-1, 6). Facing right (global North). Local +x. So facing "+x".

Pan: front-left, mid distance. (-2, 2). Facing left (global South). Local South is -x. So facing "-x".

Laptop: front-left, slightly far. (-4, 5). Facing left (global South). Local "-x".

Wait, "facing right" means facing the agent's right?
The instructions say: "Orientation: -forward/backward/right/left (ego) or north/east/south/west (allo). -When agent faces north: forward = north, right = east, etc."
The observation says "facing right". If this is ego, it means facing North (since I am facing West).
If it's allo, it's explicitly East? The prompt says "Orientation: ... or north/east/south/west (allo)". But the observation says "facing right". This implies egocentric relative to agent?
"Gate's orientation: report wall position".
"Relationship instructions... Orientation: -forward/backward/right/left (ego)..."
So "facing right" means the object's front is pointing to my right.
My right is North. So object faces North.
Local frame: +y is West, +x is North. So object faces +x.
Check desklamp: facing right -> faces North -> faces +x.
Check teddybear: facing right -> faces North -> faces +x.
Check pan: facing left -> faces South -> faces -x.
Check laptop: facing left -> faces South -> faces -x.

Positions:
Blue door: front-right (45 deg). Dist ~6. (+4, +4).
Desklamp: front-slight-right (10 deg). Dist ~6. (+1, +6).
Teddybear: front-slight-left (-10 deg). Dist ~6. (-1, +6).
Pan: front-left (-45 deg). Dist ~3. (-2, +2).
Laptop: front-left (-45 deg). Dist ~6. (-4, +4).

Refining positions for map consistency:
Blue door is on the North wall.
I am at Green door (East wall). Facing West.
My y axis goes West. My x axis goes North.
Blue door at (x, y) = (dist_N, dist_W).
Distance is "slightly far" (~6).
Position: (3, 5).
Desklamp: (1, 6).
Teddybear: (-1, 6).
Pan: (-2, 2).
Laptop: (-4, 4).

Doors facing: "on right wall" means the wall is to my right. The door faces into the room, so it faces Left (relative to me).
Wait. If I stand in a doorway on the North wall, facing South (into room), the wall is behind me.
Here, I am observing the door. "On right wall" means the door geometry is located on the wall to my right. The door itself (the passage) faces perpendicular to the wall.
If the wall is to my right (North), the door faces South (Left).
So Blue door facing "-x".

Let's stick to simple integers.

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"blue door": {"position": [3, 5], "facing": "-x"},
"desklamp": {"position": [1, 6], "facing": "+x"},
"teddybear": {"position": [-1, 6], "facing": "+x"},
"pan": {"position": [-2, 2], "facing": "-x"},
"laptop": {"position": [-4, 4], "facing": "-x"}
}
}

THINK:
I am at the green door facing West.
I observe:
- laptop: front-left
- pan: front-left
- teddybear: front-slight-left
- desklamp: front-slight-right
- blue door: front-right

Cognitive Map Construction (relative to agent facing West):
- Agent is at (0,0) locally, facing +y (West globally).
- "...

{
  "origin": "agent",
  "objects": {
    "blue door": {
      "position": [
        3,
        5
      ],
      "facing": "-x"
    },
    "desklamp": {
      "position": [
        1,
        6
      ],
      "facing": "+x"
    },
    "teddybear": {
      "position": [
        -1,
        6
      ],
      "facing": "+x"
    },
    "pan": {
      "position": [
        -2,
        2
      ],
      "facing": "-x"
    },
    "laptop": {
      "position": [
        -4,
        4
      ],
      "facing": "-x"
    }
  }
}

{
  "desklamp": {
    "position": [
      1,
      6
    ],
    "facing": "north"
  },
  "laptop": {
    "position": [
      -4,
      5
    ],
    "facing": "south"
  },
  "pan": {
    "position": [
      -2,
      3
    ],
    "facing": "south"
  },
  "blue door": {
    "position": [
      2,
      4
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -2,
      6
    ],
    "facing": "north"
  }
}

{
  "origin": "agent",
  "objects": {
    "blue door": {
      "position": [
        3,
        5
      ],
      "facing": "-x"
    },
    "desklamp": {
      "position": [
        1,
        6
      ],
      "facing": "+x"
    },
    "teddybear": {
      "position": [
        -1,
        6
      ],
      "facing": "+x"
    },
    "pan": {
      "position": [
        -2,
        2
      ],
      "facing": "-x"
    },
    "laptop": {
      "position": [
        -4,
        4
      ],
      "facing": "-x"
    }
  }
}

{
  "desklamp": {
    "position": [
      1,
      6
    ],
    "facing": "north"
  },
  "laptop": {
    "position": [
      -4,
      5
    ],
    "facing": "south"
  },
  "pan": {
    "position": [
      -2,
      3
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -2,
      6
    ],
    "facing": "north"
  }
}

THINK:
I am currently at the green door (marked as '*') facing West.
From my current observation facing West:
- blue door: front-right (North-West relative to me, but since I face West, front-right is North-West? No. Front=West, Right=North. So Front-Right is North-West direction in global coords. Wait. West is Front. Right of West is North. So Front-Right is North-West quadrant. Specifically, "on right wall" means it's on the North wall of Room 1).
- Objects seen: laptop, pan, teddybear (front-left/slight-left -> South-West/West), desklamp (front-slight-right -> West/North-West).

The map shows Room 1 on the left and Room 2 on the right. The green door connects them.
My position '*' is at the green door.
Points A, B, C, D, E, F are in Room 1.
I am looking West.
My FOV (90 degrees) covers West +/- 45 degrees (North-West to South-West).
I see:
- Blue door (North wall): This corresponds to the '+' on the top wall of Room 1.
- Laptop, pan, teddybear are "front-left" or "front-slight-left". Facing West, Left is South. So these are in the South-West area of Room 1.
- Desklamp is "front-slight-right". Facing West, Right is North. So it's West-North-West.

Map analysis:
Room 1 is the left room.
Room 2 is the right room (where I came from).
The '*' is at the door between them.
I am facing West (towards the left side of the map).
Points visible:
- "front-right": Upper part of Room 1 (North-West). Point A is in the upper part. Point C is near the center/upper.
- "front-left": Lower part of Room 1 (South-West). Points D, B, E, F are in the lower part.

The prompt asks for points in **unexplored/unobserved** regions.
My current Observe() covers the West view from the green door.
"blue door: front-right". I see the blue door.
"laptop: front-left".
"pan: front-left".
"teddybear: front-slight-left".
"desklamp: front-slight-right".

Let's look at the candidates:
A: Upper area (North). Desklamp is front-slight-right (North-West). Blue door is front-right. It's likely I see A or the area around it.
C: Central area. Directly in front of me (West). Likely observed.
D: Lower central area.
B, E, F: Bottom wall/corner area (South/South-West).
Objects like laptop/pan/teddybear are "front-left" (South-West). They are likely near D, B, E, F.

However, the Fog Probe question asks to select points in *unexplored* regions.
I have just observed Room 1 from the green door facing West.
I saw:
- blue door (North wall)
- desklamp (West/North-West)
- laptop, pan, teddybear (West/South-West)

This observation covers a significant portion of Room 1.
Specifically, I see "front-left" and "front-right".
My FOV is a cone.
Point A is North-West. (Front-Right).
Point C is West. (Front).
Point D is South-West. (Front-Left).
Points B, E, F are deep South/South-West.

Usually, "unexplored" means areas not yet covered by the FOV cones of *any* observation.
I started at (0,0) facing North. (0,0) is likely near B or F based on the map layout (bottom-left).
First observation: Saw Green door (East) and Blue door (North).
This means I saw the vector from (0,0) to Green Door and (0,0) to Blue Door.
Current observation: From Green Door facing West. I see Blue door, laptop, pan, teddybear, desklamp.
This creates a cone covering the center of Room 1 looking West.
Are there corners I haven't seen?
I haven't explicitly looked *at* the South-East corner of Room 1 from inside Room 1 (except maybe from (0,0) if it was there).
Looking at the map:
A is near the Blue Door / North Wall. I see the blue door and desklamp. A is likely observed.
C is in the middle. Likely observed.
D is in the lower middle. I see objects "front-left".
B, E, F are at the bottom.
The initial start position was (0,0). I faced North. I saw Green Door (East) and Blue Door (North). I did NOT see objects like laptop, pan, etc. back then. Why? Maybe they were out of FOV (too far to the West/Left) or behind walls?
Wait, if I was at (0,0) facing North, and Green Door was Front-Right and Blue Door was Front-Left...
Then (0,0) is likely near "B" or "F".
If I was at B/F facing North, I would see A/C area.
Now I am at Green Door facing West. I see objects in the West.
The objects (laptop, pan, teddybear) were NOT seen in the first step.
So they are likely in the area I missed first time, or I just missed them.
But now I *do* see them.
So the area West of the Green Door is currently being observed.
Candidates A, C, D, B, E, F are all in Room 1.
I am looking at them.
Is there any blind spot?
Maybe behind me? No, I am at the wall.
Maybe extreme angles?
The only "unexplored" area might be the corners blocked by obstacles or outside the 90 degree cone.
However, I just listed 5 objects covering Front-Left to Front-Right.
The map shows A, C, D, B, E, F.
A: North part.
C: Center.
D: South part.
B, E, F: South wall.
I see "front-left" objects (South-West).
I see "front-right" objects (North-West).
So I likely cover the room.
However, if (0,0) is bottom-left, and I started there facing North...
And now I am at Green Door (East wall) facing West.
I have pretty much cross-covered the room.
Is there anything hidden?
Maybe behind the "desklamp" or "laptop"?
Without specific occlusion data, I assume standard open space visibility.
The prompt asks for "unexplored/unobserved regions".
If I see the objects near these points, the points are observed.
I see "blue door" (near A).
I see "desklamp" (near C/A?).
I see "laptop/pan/teddybear" (near D/E/F?).
It seems most of Room 1 is observed.
Perhaps the question implies Room 3? But the map only shows Room 1 and Room 2 (partially).
Actually, look at the map:
Room 1 is the big block on the left.
Room 2 is the block on the right.
There is a door '+' at the top of Room 1 (Blue door).
Candidates are only in Room 1.
I am at the Green Door '*'.
I see the Blue Door '+'.
I see objects scattered front-left and front-right.
It is highly likely that A, C, D are observed.
What about B, E, F? They are at the bottom wall.
"front-left" from Green Door facing West points to the South-West corner.
If I see objects there, I see the region.
Is it possible I don't see the *immediate* South-West corner?
Distance bins:
Blue door: slightly far.
Laptop: slightly far.
Teddybear: slightly far.
Desklamp: slightly far.
Pan: mid distance.
Everything is mid/slightly far.
Maybe the "near" zone (immediate West) is empty?
Or maybe the "far" zone (West wall) is seen.
I'll assume the room is mostly covered.
However, usually these "fog probe" tasks want me to identify points I haven't seen *yet*.
Have I seen the area "behind" the objects?
Or the corners?
Let's consider the initial view again. (0,0) facing North.
Saw Blue Door (North) and Green Door (Right).
This means I saw the triangle between (0,0), North Wall, and East Wall.
Now from Green Door facing West.
I see the cone pointing West.
The union of these two views covers:
1. South-East to North-East (from start).
2. East to West (from current).
The area *West* of (0,0) might have been missed in step 1.
But in step current, I look West from the East wall.
So I see the West part.
The only potential blind spot is the *South-West* corner if it's occluded or out of angle.
But I see objects "front-left" (South-West).
So I probably see it.
What about the *North-West* corner?
I see "front-right" (North-West).
So the room seems fully covered.
BUT, look at the map again.
Candidates A, B, C, D, E, F.
Are any of these in Room 3?
The map shows a wall '#' blocking the top of Room 1, except for the door '+'.
There is no Room 3 visible in the grid provided (only black space or implied).
The map has points A-F inside Room 1.
Given I am at '*' and looking West, and I see objects distributed Left and Right, I'd say I've seen the whole room.
However, if I *must* select something, maybe the very corners?
Or maybe I misinterpret the position of (0,0).
"Initial position (0,0)... room 1... face north".
If I saw Green Door on Right, and Blue Door on Front-Left.
Then (0,0) is somewhat South-Central.
Green Door is East. Blue Door is North.
Now I am at Green Door looking West.
I see Blue Door (North Wall).
I see items to the West.
I have likely covered A, C, D, B, E, F.
Wait, "Unexplored".
If I have observed the whole room, the answer is empty.
But usually there is something.
Let's check the previous turn in Room 2.
I was at Table facing South. I rotated and saw nothing East. I saw Truck South. I saw Bike/Chair North.
Room 2 is fully explored.
Now Room 1.
Is it possible B, E, F (bottom row) are not fully seen?
From Green Door facing West, "front-left" is South-West.
If the objects are "facing left" or "facing right", it gives info about them, not necessarily blocking.
I will assume the room is observed.
Result: []
Wait, if the system expects me to select points, and I select none, it might be an error if there are indeed unobserved points.
Let's look closer at the candidates B, E, F. They are in the bottom left corner cluster.
From Green Door (East wall) facing West:
The bottom-left corner is at angle -45 degrees (approx) relative to West?
If the room is square, bottom-left is 45 degrees left of West.
My FOV is 90 deg (+/- 45).
So the bottom-left corner is on the edge of the FOV.
If the room is rectangular (longer Y), the angle might be larger, placing it outside FOV.
However, I see "teddybear: front-slight-left". "pan: front-left". "laptop: front-left".
"Front-left" means [-45, 0).
So I see up to the diagonal.
If B, E, F are deep in the corner, they might be obscured or just on the edge.
Given "laptop... facing left", "pan... facing left", they are oriented.
I'll hedge that the deep corners *might* be unobserved if the room is wide.
But generally, observing from a wall into the room covers most of it.
I'll go with empty or specific points if I suspect occlusion.
Actually, looking at the ASCII map:
The agent '*' is at row 9, col 12 (approx).
F, E, B are at row 13 (bottom).
D is row 12.
C is row 9.
A is row 8.
Blue Door '+' is row 7.
(Row numbers increasing downwards in this text representation, but "North is Up" means row numbers decrease as Y increases).
Let's use the map visual.
'*' is at the door on the right wall of the room.
Looking West (Left).
A is Top-Left relative to *. (Front-Right).
C is Left relative to *. (Front).
D is Bottom-Left relative to *. (Front-Left).
B, E, F are Bottom-Left corner.
My FOV is +/- 45 degrees.
If the room is roughly square:
Angle to A (Top-Left) is roughly +45 deg.
Angle to F (Bottom-Left) is roughly -45 deg.
So A and F are on the boundary.
However, the "Blue Door" is at the top wall. I see it (Front-Right).
The "Laptop" is Front-Left.
If I see objects in the direction of F, I likely see the region.
However, if F is *in* the corner, and FOV is strict 90 degrees, and the aspect ratio is such that the corner is >45 degrees, I miss it.
In a square grid, corner to midpoint-of-opposite-wall is atan(0.5) ~= 26 degrees.
So corners are well within +/- 45 degrees (which covers the whole wall opposite).
Wait, if I am in the middle of the East wall, the corners of the West wall are at angles:
atan( (H/2) / W ).
If W=H, atan(0.5) = 26 deg.
So the whole opposite wall is within +/- 26 deg.
My FOV is +/- 45 deg.
So I definitely see the entire opposite wall and all corners.
So all A, B, C, D, E, F should be observed.
So unexplored is empty.
But wait, I need to check the "unexplored" definition. "Located in unexplored/unobserved regions".
If I have observed the region, it's not unexplored.
I'll output empty list.

Refining my thought:
Maybe Room 3 is relevant?
Candidates are only A-F. All in Room 1.
So I assume all are observed.

Final check:
Maybe the "Blue Door" is the only thing I saw in the North?
I saw "desklamp: front-slight-right". That's North-West.
I saw "laptop: front-left". South-West.
I have covered the angular spread.
I will return empty list.

Wait, is it possible I haven't "visited" them? No, "observed" is enough.
Is it possible the Fog Probe simulates occlusion?
"fog of war" style.
From (0,0) I saw some. From Green Door I saw the rest.
Combined, I see everything.
I'll stick with empty.

Actually, looking at the example `{"unexplored": ["A", "C"]}`, I should be careful.
Maybe I'm overconfident.
But geometrically, looking from a mid-wall point into a square room covers the whole room with 90 deg FOV.
I'll output empty.

Re-read carefully: "Select the points that are located in unexplored/unobserved regions."
If I am unsure, maybe I should pick the furthest points?
But the math (26 deg vs 45 deg) is strong.
Unless the room is very wide (W >> H/2).
Here it looks visually like a vertical rectangle or square.
So angles are even smaller.
I see everything.

One details: "candidates A-Z".
I only see A-F.
Okay.

What if "unexplored" means "not yet visited"? No, "observed" is usually sufficient for mapping.
I will return empty.

Wait, looking at the previous turn (Green Door -> Room 2).
I am now at Green Door -> Room 1.
All candidates are in Room 1.
I see Room 1.
Empty.

FINAL ANSWER:
{
"unexplored": []
}

THINK:
I am currently at the green door (marked as '*') facing West.
From my current observation facing West:
- blue door: front-right (North-West relative to me, but since I face West, front-right is North-West? No. Front=West, Right=North. So Front-Right is North-West direction in global coords. W...

#################
#......##########
#......##########
#......##########
#......##########
#......##########
#......##########
#####+####......#
###..A...#......#
###....C.*......#
###......#......#
###......#......#
###....D.#......#
###..FEB.########
#################

You rotated counterclockwise 90°. You observe:
• laptop: front-left, slightly far, facing left
• pan: front-left, mid distance, facing left
• teddybear: front-slight-left, slightly far, facing right
• desklamp: front-slight-right, slightly far, facing right
• blue door: front-right, slightly far, on right wall.
You have a maximum of 11 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated counterclockwise 90°. You observe:
• laptop: front-left, slightly far, facing left
• pan: front-left, mid distance, facing left
• teddybear: front-slight-left, slightly far, facing right
• desklamp: front-slight-right, slightly far, facing right
• blue door: front-right, slightly far, o...

I am at the green door facing West. I see:
- Blue door: front-right (North wall).
- Laptop, Pan, Teddybear, Desklamp: scattered in the room, mostly front-left or front.
I haven't explored Room 3 yet. The blue door leads to Room 3.
I should jump to the blue door to explore Room 3.
I will jump to the blue door. After jumping, I'll be at the blue door.
To explore Room 3 efficiently, I should face into it.
The blue door is on the North wall of Room 1. Passing through it usually means moving North.
So facing North from the blue door looks into Room 3.
My current orientation is West. If I jump to the blue door, I am still facing West.
To face North, I need to rotate 90 degrees (clockwise).
So: JumpTo(blue door), Rotate(90), Observe().

I am at the green door facing West. I see:
- Blue door: front-right (North wall).
- Laptop, Pan, Teddybear, Desklamp: scattered in the room, mostly front-left or front.
I haven't explored Room 3 yet. The blue door leads to Room 3.
I should jump to the blue door to explore Room 3.
I will jump to the ...

THINK:
I need to construct a global cognitive map based on my observations.
Initial State:
- Agent at (0, 0), facing North.
- Green door (Room 1 <-> Room 2): front-slight-right (from 0,0 N), mid distance (approx 3-4 units). On Right (East) wall. Let's est. (3, 2).
- Blue door (Room 1 <-> Room 3): front-left (from 0,0 N), slightly far (4-8 units). On Front (North) wall. Let's est. (-2, 5).

Action 1: Jump to Green door, Rotate 90 (East).
- Agent at Green door. Facing East.
- Room 2 objects observed:
- Table: Front (East), slightly far (~5 units). Est pos: GreenDoor + (5, 0) -> (8, 2).
- Bike: Front-slight-left, slightly far. West of Table? No, observed from Green door facing East as Front-slight-left. That means North-East. From Table facing North, Bike is Front (North). Wait, from Table (facing North), Bike is Front, near. So Bike is just North of Table.
- Chair: From Green door (East) -> Front-left. From Table (North) -> Front-left. So Chair is NW of Table.
- Truck: From Green door (East) -> Front-right (SE). From Table (South) -> Front-right (SW). This is consistent. Truck is South of Table.

Action 2: Jump to Table, Rotate -90 (North).
- Agent at Table (8, 2), Facing North.
- Bike: Front (North), near. Est (8, 4).
- Chair: Front-left (NW), mid distance. Est (6, 5).

Action 3: Rotate 180 (South).
- Agent at Table (8, 2), Facing South.
- Truck: Front-right (SW), mid distance. Est (6, -1).

Action 4: Rotate -90 (East). Empty.

Action 5: Rotate 180 (West).
- Green door visible.

Action 6: Jump to Green door, Rotate 90 (North). Empty.
- This implies Green door facing North looks into a corner or empty space.

Action 7: Rotate -90 (West).
- Agent at Green door (3, 2), Facing West.
- Blue door: Front-right (NW). Wait, if I am at (3,2) facing West, North is Right. "Front-Right" is NW. This matches.
- Laptop: Front-left (SW). Est (0, -1).
- Pan: Front-left (SW). Est (1, -1).
- Teddybear: Front-slight-left (WSW).
- Desklamp: Front-slight-right (WNW).

Action 8: Jump to Blue door, Rotate 90 (North).
- Agent at Blue door (approx -2, 5), Facing North.
- Room 3 objects:
- Airplane: Front-slight-right (NE), slightly far.
- Lego man: Front-left (NW), slightly far.
- Candle: Front-left (NW), slightly far. Near Lego man.
- Fire extinguisher: Front-right (NE), mid distance.

Re-evaluating Coordinates:
Room 1:
- Agent start (0,0).
- Green door (East wall): (3, 2) seems plausible.
- Blue door (North wall): (-2, 5) seems plausible.
- Laptop, Pan, Teddybear, Desklamp are in Room 1.
- From Green door (3, 2) facing West:
- Laptop (Front-left -> SW): x < 3, y < 2. Maybe (0, 1).
- Pan (Front-left -> SW): Near laptop.
- Teddybear (Front-slight-left -> WSW): y slightly < 2.
- Desklamp (Front-slight-right -> WNW): y > 2.

Room 2:
- Connects at Green door (3, 2).
- Table: East of Green door. (8, 2).
- Bike: North of Table. (8, 4).
- Chair: NW of Table. (6, 4).
- Truck: South of Table. (8, -1).

Room 3:
- Connects at Blue door (-2, 5).
- Agent facing North.
- Airplane (NE): x > -2, y > 5.
- Lego man (NW): x < -2, y > 5.
- Candle (NW): Near Lego man.
- Fire extinguisher (NE): x > -2, y > 5.

Let's refine coordinates for JSON.
Agent is at Blue door (-2, 5) facing North.
Objects:
- laptop: Room 1.
- bike: Room 2.
- airplane: Room 3.
- pan: Room 1.
- truck: Room 2.
- lego man: Room 3.
- teddybear: Room 1.
- desklamp: Room 1.
- chair: Room 2.
- candle: Room 3.
- table: Room 2.
- fire extinguisher: Room 3.
- green door: Room 1/2 boundary.
- blue door: Room 1/3 boundary.

Coordinates estimation:
Room 1 (Origin 0,0):
- Green door: (4, 2) (Mid dist 2-4, on right wall). Let's say x=4.
- Blue door: (-1, 5) (Front-left, slightly far 4-8). Let's say y=5.
- Laptop: (0, 0) was start. From Green Door (4,2) facing West, Laptop is Front-Left (SW). Let's say (1, 0).
- Pan: Near laptop. (0, 0) or (2, 0).
- Teddybear: Front-slight-left. (1, 1).
- Desklamp: Front-slight-right. (1, 3).

Room 2 (East of Green door):
- Table: From Green door (4,2) facing East, slightly far (4-8). Say (9, 2).
- Bike: North of Table. (9, 4).
- Chair: NW of Table. (7, 4).
- Truck: From Green door (East) -> SE. From Table (South) -> SW. Say (9, -1).

Room 3 (North of Blue door):
- Blue door at (-1, 5).
- Agent at (-1, 5) facing North.
- Airplane: Front-slight-right (NE), slightly far (4-8). Say (2, 9).
- Lego man: Front-left (NW), slightly far. Say (-4, 9).
- Candle: Near Lego man. (-5, 9).
- Fire extinguisher: Front-right (NE), mid (2-4). Say (1, 7).

Final list:
Agent: [-1, 5], facing North.
Green door: [4, 2].
Blue door: [-1, 5].
Laptop: [1, 0].
Pan: [2, 0].
Teddybear: [1, 1].
Desklamp: [1, 3].
Table: [9, 2].
Bike: [9, 4].
Chair: [7, 4].
Truck: [9, -1].
Airplane: [2, 9].
Lego man: [-4, 9].
Candle: [-5, 9].
Fire ext: [1, 7].

Facing directions:
- Bike: facing backward (South) seen from Green door (East). Wait. From Green door (East), Bike is Front-Left (NE). "Facing right". Facing Right relative to Agent (East) -> South.
- From Table (North), Bike is Front (North), facing backward -> South. Consistent. Bike facing: South.
- Truck: From Green door (East), facing left -> North. From Table (South), facing backward -> North. Truck facing: North.
- Chair: From Green door (East), facing backward -> West. From Table (North), facing left -> West. Chair facing: West.
- Laptop: From Green door (West), facing left -> South. Laptop facing: South.
- Pan: From Green door (West), facing left -> South. Pan facing: South.
- Teddybear: From Green door (West), facing right -> North. Teddybear facing: North.
- Desklamp: From Green door (West), facing right -> North. Desklamp facing: North.
- Airplane: From Blue door (North), facing right -> East. Airplane facing: East.
- Lego man: From Blue door (North), facing forward -> North. Lego man facing: North.
- Fire ext: From Blue door (North), facing forward -> North. Fire ext facing: North.

Refining positions:
Green Door at (4,2)
Blue Door at (-1, 5)
Table at (9,2)
Bike at (9,4)
Chair at (7,4)
Truck at (9,-1)
Laptop at (1,0)
Pan at (2,0)
Teddybear at (1,1)
Desklamp at (1,3)
Airplane at (2,9)
Lego man at (-4,9)
Candle at (-4,8)
Fire Ext at (1,7)

Double check start position (0,0) facing North.
Green door (4,2): Angle atan(2/4) = 26 deg (Front-Right, >22.5). Correct.
Blue door (-1,5): Angle atan(-1/5) = -11 deg (Front-Slight-Left). Wait, observation said "front-left" (<-22.5). Let's move Blue door to (-3, 5). atan(-3/5) = -30 deg. Correct.
If Blue door is (-3, 5):
Room 3 objects relative to (-3, 5) facing North:
- Airplane (NE): (-3+3, 5+4) = (0, 9).
- Lego man (NW): (-3-2, 5+4) = (-5, 9).
- Fire ext (NE, mid): (-3+2, 5+2) = (-1, 7).

Room 1 objects relative to Green Door (4, 2) facing West:
- Laptop (SW): Front-left. Relative (-x, -y). Global (-1, 1). x<4, y<2. (1, 0) works.
- Blue door (-3, 5): Relative to (4,2) facing West. Vector (-7, 3).
- Agent local frame: Front=West, Right=North.
- (-7, 3) is Forward 7, Right 3. "Front-Right". Observation: "front-right". Correct.

Finalizing JSON.

FINAL ANSWER:
```json
{
"grid": "N x M",
"agent": {"position": [-3, 5], "facing": "north"},
"green door": {"position": [4, 2], "facing": "west"},
"blue door": {"position": [-3, 5], "facing": "north"},
"laptop": {"position": [1, 0], "facing": "south"},
"pan": {"position": [2, 0], "facing": "south"},
"teddybear": {"position": [1, 1], "facing": "north"},
"desklamp": {"position": [1, 3], "facing": "north"},
"table": {"position": [9, 2]},
"bike": {"position": [9, 4], "facing": "south"},
"chair": {"position": [7, 4], "facing": "west"},
"truck": {"position": [9, -1], "facing": "north"},
"airplane": {"position": [0, 9], "facing": "east"},
"lego man": {"position": [-5, 9], "facing": "north"},
"candle": {"position": [-5, 8]},
"fire extinguisher": {"position": [-1, 7], "facing": "north"}
}
```

THINK:
I need to construct a global cognitive map based on my observations.
Initial State:
- Agent at (0, 0), facing North.
- Green door (Room 1 <-> Room 2): front-slight-right (from 0,0 N), mid distance (approx 3-4 units). On Right (East) wall. Let's est. (3, 2).
- Blue door (Room 1 <-> Room 3): fr...

{
  "grid": "N x M",
  "agent": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      4,
      2
    ],
    "facing": "west"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "laptop": {
    "position": [
      1,
      0
    ],
    "facing": "south"
  },
  "pan": {
    "position": [
      2,
      0
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      1,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      1,
      3
    ],
    "facing": "north"
  },
  "table": {
    "position": [
      9,
      2
    ]
  },
  "bike": {
    "position": [
      9,
      4
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      7,
      4
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      9,
      -1
    ],
    "facing": "north"
  },
  "airplane": {
    "position": [
      0,
      9
    ],
    "facing": "east"
  },
  "lego man": {
    "position": [
      -5,
      9
    ],
    "facing": "north"
  },
  "candle": {
    "position": [
      -5,
      8
    ]
  },
  "fire extinguisher": {
    "position": [
      -1,
      7
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  }
}

THINK:
I am currently at the blue door, facing North (into Room 3).
I observe the following objects in my current FOV (Room 3):
- airplane: front-slight-right, slightly far, facing right.
- "slightly far" is (4,8]. Let's estimate dist ~ 6.
- "front-slight-right" is (0, 22.5]. Let's say ~15 degrees.
- x = 6 * sin(15) ~ 1.5. y = 6 * cos(15) ~ 5.8. Let's round to [2, 6].
- facing right relative to me (North) is East (+x).
- lego man: front-left, slightly far, facing forward.
- "slightly far" ~ 6.
- "front-left" is [-45, -22.5). Let's say -30 degrees.
- x = 6 * sin(-30) = -3. y = 6 * cos(-30) ~ 5.2. Let's round to [-3, 5].
- facing forward is +y.
- candle: front-left, slightly far.
- Relation: "lego man is south, near to candle". This means candle is North of lego man.
- Lego man at [-3, 5]. Candle should be at [-3, 7] or similar.
- "front-left" fits.
- fire extinguisher: front-right, mid distance, facing forward.
- "mid distance" is (2, 4]. Let's say 3.
- "front-right" is (22.5, 45]. Let's say 30 degrees.
- x = 3 * sin(30) = 1.5. y = 3 * cos(30) ~ 2.6. Let's round to [2, 3].
- facing forward is +y.

I need to construct the JSON relative to the agent (origin).
Agent is facing +y.

Estimates:
- airplane: [2, 6], facing +x
- lego man: [-3, 5], facing +y
- candle: [-3, 7] (based on relation; observed as front-left slightly far, so maybe [-3, 6] or [-2, 6])
- fire extinguisher: [2, 3], facing +y

Refining coordinates to be integers and consistent with bins:
- airplane: slightly far (4-8). front-slight-right. x>0, y>x. [2, 5] seems reasonable. facing +x (right).
- fire extinguisher: mid distance (2-4). front-right. x>0, y>0. [2, 3] seems reasonable. facing +y (forward).
- lego man: slightly far (4-8). front-left. x<0, y>|x|. [-3, 5] seems reasonable. facing +y (forward).
- candle: slightly far (4-8). front-left. Near lego man. Lego man is south of candle -> Candle is North of lego man.
- If lego man is [-3, 5], candle is [-3, 6] or [-3, 7].
- Let's use [-3, 6].

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"airplane": {"position": [2, 5], "facing": "+x"},
"lego man": {"position": [-3, 5], "facing": "+y"},
"candle": {"position": [-3, 6]},
"fire extinguisher": {"position": [2, 3], "facing": "+y"}
}
}

THINK:
I am currently at the blue door, facing North (into Room 3).
I observe the following objects in my current FOV (Room 3):
- airplane: front-slight-right, slightly far, facing right.
- "slightly far" is (4,8]. Let's estimate dist ~ 6.
- "front-slight-right" is (0, 22.5]. Let's say ~15 degre...

{
  "origin": "agent",
  "objects": {
    "airplane": {
      "position": [
        2,
        5
      ],
      "facing": "+x"
    },
    "lego man": {
      "position": [
        -3,
        5
      ],
      "facing": "+y"
    },
    "candle": {
      "position": [
        -3,
        6
      ]
    },
    "fire extinguisher": {
      "position": [
        2,
        3
      ],
      "facing": "+y"
    }
  }
}

{
  "fire extinguisher": {
    "position": [
      1,
      2
    ],
    "facing": "north"
  },
  "airplane": {
    "position": [
      1,
      6
    ],
    "facing": "east"
  },
  "lego man": {
    "position": [
      -3,
      4
    ],
    "facing": "north"
  },
  "candle": {
    "position": [
      -3,
      6
    ],
    "facing": "east"
  }
}

{
  "origin": "agent",
  "objects": {
    "airplane": {
      "position": [
        2,
        5
      ],
      "facing": "+x"
    },
    "lego man": {
      "position": [
        -3,
        5
      ],
      "facing": "+y"
    },
    "candle": {
      "position": [
        -3,
        6
      ]
    },
    "fire extinguisher": {
      "position": [
        2,
        3
      ],
      "facing": "+y"
    }
  }
}

{
  "fire extinguisher": {
    "position": [
      1,
      2
    ],
    "facing": "north"
  },
  "airplane": {
    "position": [
      1,
      6
    ],
    "facing": "east"
  },
  "lego man": {
    "position": [
      -3,
      4
    ],
    "facing": "north"
  },
  "candle": {
    "position": [
      -3,
      6
    ],
    "facing": "east"
  }
}

THINK:
I need to identify points in unexplored regions based on the current map state.
- **Agent Position (*)**: I am currently at the blue door, which connects Room 1 (bottom) and Room 3 (top). The map shows the agent `*` on the wall between the top-left room (Room 3) and the bottom-left room (Room 1).
- **Room Layout**:
- **Room 1 (Bottom Left)**: This is where I started. I explored it and saw objects like laptop, pan, teddybear, desklamp. The map shows `*` at the top of this room (blue door). Points B, H, E, F, L, J are inside this room. Since I've observed this room from the start (0,0) and from the green door (East wall), most of it should be explored. Specifically, I saw laptop/pan/teddybear/desklamp when looking West from the Green Door. I also saw the blue door from (0,0). So the interior B, H, E, F should be explored. L, J are near the bottom right of Room 1. I started at (0,0) facing North. From (0,0), I saw the Green Door (Right/East) and Blue Door (Front/North). I didn't see much behind me (South) or to the immediate left/right corners if they were occluded or out of FOV. However, I observed from Green Door looking West, covering most of the room.
- **Room 2 (Bottom Right)**: Accessed via the Green Door from Room 1. I explored it by jumping to the table and looking North, South, East, West. I saw bike, chair, truck. The map shows the right room connected by a door `+`. This room seems fully explored. There are no candidate points shown in the bottom right room in the ASCII map provided (except maybe near the door if any, but the ascii shows dots).
- **Room 3 (Top Left)**: I just entered this room through the blue door (`*`). I am facing North. I observed airplane, lego man, candle, fire extinguisher.
- **Candle/Lego Man**: Front-left (North-West).
- **Airplane**: Front-slight-right (North-East).
- **Fire Extinguisher**: Front-right (North-East).
- The map shows points A, I, G in the top part of Room 3.
- Points K, C, D are in the left/bottom-left part of Room 3.
- My current observation from the door (facing North) covers a 90-degree cone.
- Front-Left covers the area towards K, C, D? Or further up?
- Lego Man/Candle are "slightly far".
- Airplane/Fire Extinguisher are "slightly far" / "mid distance".
- Points A, I seem to be deep into the room (North). "Slightly far" is distance bin (4, 8]. The room looks deeper than 8 units? Let's check the ASCII map scale. The map is about 15x17 characters.
- If I am at the door, facing North.
- `A` is in the far North-West corner.
- `I` is in the far North-East corner.
- `G` is in the middle North.
- `K` is on the West wall, mid-way.
- `C` is near `K`.
- `D` is South-West corner of Room 3?
- My FOV is a cone. I see front-left to front-right.
- Objects observed:
- Lego man/Candle (Front-Left). This likely covers the region where `C` or `K` might be, or maybe closer to the center-left.
- Airplane/Fire Extinguisher (Front-Right). This covers the region where `G` or `I` might be?
- I have NOT moved into Room 3 yet; I am at the door looking in.
- Usually, "slightly far" means I see things a bit ahead. The far corners (A, I) might be occluded or just "far".
- `K`, `C`, `D` are on the left side. `D` is quite close to the wall dividing Room 1 and 3. My FOV starts from the door. If `D` is in the corner to my immediate left (90 degrees), I might miss it if my FOV is strictly < 45 degrees left/right? No, FOV is 90 degrees total (-45 to +45).
- If I face North (0 deg):
- -45 to +45 covers Front-Left to Front-Right.
- Things directly to the Left (-90) or Right (+90) are NOT visible.
- `D` looks like it's in the South-West corner of Room 3. I am at the South-East corner (or middle South wall) of Room 3? The door is usually centered or offset.
- Looking at the map:
```
#KC....##########
#.D....##########
#####*####......#
```
The door `*` is at x=5 (0-indexed) approx? The room width is about 6-7 chars.
`D` is at x=1, y=...
Relative to `*`, `D` is West and slightly North.
If `D` is at angle < -45 degrees, I don't see it.
`K` and `C` are further North (y increases). Angle might be within -45.
`A` is far North West.
`I` is far North East.
`G` is North.
- Candidates in Room 1 (Bottom Left): B, H, E, F, L, J.
- I have explored Room 1 from two vantage points: (0,0) facing North, and Green Door facing West.
- From Green Door facing West: I see the "Blue Door" (North wall).
- Green Door is on East Wall. Looking West covers the center and West wall.
- `L`, `J` are in the South-East corner of Room 1.
- From (0,0) facing North, South-East is "Behind-Right" (out of FOV).
- From Green Door facing West, South-East is "Left" (out of FOV? -90 deg is left).
- The Green Door is likely in the middle of the East wall. Facing West, the Left side is South. The Right side is North.
- FOV is 90 deg. Facing West (towards -x), I see North-West to South-West? No, Facing West (180 deg? or 270?).
- "West" means -x.
- FOV covers (-x+y) to (-x-y). i.e. South-West to North-West.
- So I should see `L` and `J` if they are in the South-East corner? Wait.
- Green Door is on the East Wall.
- Position: (MaxX, MidY). Facing West (-1, 0).
- FOV: 90 degrees.
- Left bound: South-West. Right bound: North-West.
- `L` and `J` are in the South-East corner.
- To see South-East from East Wall, I need to look South-West?
- If I am at (MaxX, MidY) facing West.
- South-East is (MaxX, LowY).
- Vector to South-East is (0, -1) roughly (along the wall).
- That is -90 degrees relative to facing direction (West).
- -90 is NOT in FOV (FOV is +/- 45).
- So `L` and `J` (South-East corner) are likely **unobserved**.
- `B`, `H`: Middle of Room 1.
- From (0,0) facing North: seen? (0,0) is likely South-West or South-Center. If South-Center, Center is visible.
- From Green Door facing West: Center is visible (Front).
- So B, H are likely explored.
- `E`, `F`: South-Center of Room 1.
- If (0,0) is South-Center, then E, F are "near" the start. I might have stood on them or seen them "near".
- But if (0,0) is South-West corner?
- Let's assume standard grid (0,0) is bottom-left.
- Start at (0,0). Facing North.
- I see cone North-West to North-East.
- `L`, `J` (South East) -> Angle from (0,0) to SE is 0 to 90? No, East is 90. SE is something else.
- If I am at (0,0) facing North. FOV is -45 to +45 (North-West to North-East).
- East is +90. Not visible.
- So `L`, `J` not seen from start.
- From Green Door (East Wall) facing West.
- `L`, `J` are "Left" (South). -90 degrees. Not visible.
- So `L`, `J` are definitely unobserved.
- `E`, `F` are South-Center.
- From (0,0) facing North: East is +90. North-East is +45.
- `E`, `F` are to the East of (0,0).
- If angle > 45, not seen.
- From Green Door facing West.
- `E`, `F` are South-West of Green Door?
- Vector (-x, -y). This is Front-Left.
- Should be visible.
- But if `E`, `F` are very close to the South wall, and Green Door is high up...
- Let's look at the map:
`###...BH.#......#`
`###...EF.#......#`
`###....LJ########`
`#################`
L, J are in the corner formed by bottom wall and a wall segment?
E, F are just above L, J.
B, H are above E, F.
Green Door is likely higher up (near the + on the right?). No, Green door connects to Room 2. The map shows `...` on the right side of Room 1.
Actually, looking at the map structure:
Room 1 is the bottom-left block.
Room 2 is the bottom-right block.
Room 3 is the top-left block.
The agent `*` is between Room 1 and Room 3.
The Green Door connects Room 1 and Room 2. It must be on the vertical wall separating them.
In the map, the vertical wall is roughly x=9 or 10.
The Green Door is likely the gap in that wall.
Wait, the map shows:
`###......#......#`
`###......+......#`
`###......#......#`
The `+` is on the vertical wall between Room 1 and Room 2.
So Green Door is at that `+`.
`L`, `J` are in the bottom right corner of Room 1.
`E`, `F` are just West of `L`, `J`? Or North?
Map:
`...BH.#`
`...EF.#`
`....LJ#`
They are close to the wall separating Room 1 and 2.
If I am at `+` (Green Door) facing West.
`L`, `J` are South of me. (Left).
`E`, `F` are South-West?
If they are South-West, they fall in the Front-Left quadrant. Visible.
If they are strictly South (along the wall), they are not visible.
`B`, `H` are West/South-West?
Given the density, `L, J` are likely in the corner that is hard to see.
`A`, `I` in Room 3 (Top Left):
I am at the door `*` facing North.
`A` is top-left corner. `I` is top-right corner.
Distance is far.
I just entered and observed.
Usually, "unexplored" points are those I haven't been close to or haven't seen clearly.
I saw "slightly far".
`A` and `I` are likely "very far" or occluded?
Or simply, since I haven't moved into the room, the far corners are good candidates.
`K`, `C`, `D`:
`D` is in the bottom-left corner of Room 3.
I am at the bottom-right of Room 3 (Door).
Looking North.
`D` is to my Left (-90 deg). Not visible.
`C`, `K` are further North along the West wall. Front-Left.
Visible? Maybe.
But `D` is definitely a strong candidate for unobserved.
And `L`, `J` in Room 1 (bottom right corner, south of Green Door) were likely missed by looking West from Green Door (South is blocked). And missed by (0,0) facing North (East is blocked).

So strong candidates: `L`, `J`, `D`.
`A`, `I` are also candidates because they are deep in the room.

Let's check the labels on the map again.
Room 3 Candidates: A, I, G, K, C, D.
Room 1 Candidates: B, H, E, F, L, J.

Analysis of Room 1 Candidates:
- I stood at Green Door (`+`) facing West.
- `L`, `J` are South of `+` along the wall. (Left). Not seen.
- `E`, `F` are South-West of `+`. (Front-Left). Seen? Maybe "mid distance" or "slightly far".
- `B`, `H` are West/South-West. Seen.
- I stood at (0,0) (Bottom-Left corner?) facing North.
- If (0,0) is bottom-left, I see North-West to North-East.
- `L`, `J` are far East. Not seen.
- `E`, `F` are East. Not seen.
- `B`, `H` are North-East. Seen?
- Wait, if `B,H` are North-East from (0,0) and Front from Green Door (facing West), they are central.
- `L`, `J` are definitely unobserved.

Analysis of Room 3 Candidates:
- I am at `*` facing North.
- `D` is West (Left). Not seen.
- `C`, `K` are North-West (Front-Left). Seen "lego man", "candle".
- `G` is North. Seen? "fire extinguisher", "airplane".
- `A` is North-West (Far).
- `I` is North-East (Far).
- `G` is North (Far).
- I just "Observed". I saw objects "slightly far".
- `A`, `I` might be "very far" or just "unexplored region" markers.
- Given I haven't moved there, and they are at the boundaries, they are likely candidates.
- `D` is definitely unobserved (Left).

My selection:
- Room 1: L, J (South-East corner, hidden from Start and Green Door). E, F might be visible from Green Door but let's be conservative. The query asks for "unexplored/unobserved regions". L and J are definitely in a blind spot.
- Room 3: D (Blind spot to the left). A, I (Deep corners).

Let's refine.
L and J are South of the Green Door. When facing West, South is -90 deg. Field of View is [-45, 45]. So South is NOT visible.
From (0,0) facing North, East is 90 deg. Not visible.
So L and J are definitely unobserved.

D is West of the Blue Door (Agent `*`). Agent faces North. West is -90 deg. Not visible.
So D is definitely unobserved.

A and I are far away.
G is in the middle.
K, C are closer.
I saw objects "slightly far".
I'd bet on D, L, J being the most "unobserved" due to angle.
A and I are candidates for "exploration goals" (far corners).

Let's pick the set {D, L, J, A, I}.
And maybe E, F?
If I am at Green Door facing West. E, F are at (Say) dx=-2, dy=-2. Angle is -135 deg? No.
Green Door at (9, 5). Facing West (-1, 0).
E at (8, 2).
Vector = (-1, -3).
Angle relative to West (-1, 0) -> It's to the Left.
Dot product: (-1)*(-1) + 0*(-3) = 1.
Cos theta = 1 / (1 * sqrt(10)). Theta is roughly 70 degrees.
Is 70 degrees inside 45? No.
So E, F are likely NOT visible from Green Door facing West.
Are they visible from (0,0) facing North?
E at (8, 2). Vector (8, 2).
Angle relative to North (0, 1).
Dot product: 2.
Cos theta = 2 / (sqrt(68) * 1). Theta is large (close to 90).
So E, F are NOT visible from (0,0).
So E, F are also unobserved.

What about B, H?
B at (7, 4). Green Door (9, 5).
Vector (-2, -1).
Facing West (-1, 0).
Angle is small (< 45).
So B, H are visible from Green Door.

So, Unobserved in Room 1: E, F, L, J.
Unobserved in Room 3: D (Angle), A (Far), I (Far).

Final Selection: A, D, E, F, I, J, L.

FINAL ANSWER:
```json
{
"unexplored": ["A", "D", "E", "F", "I", "J", "L"]
}
```

THINK:
I need to identify points in unexplored regions based on the current map state.
- **Agent Position (*)**: I am currently at the blue door, which connects Room 1 (bottom) and Room 3 (top). The map shows the agent `*` on the wall between the top-left room (Room 3) and the bottom-left room (Room...

#################
#.A...I##########
#..G...##########
#......##########
#......##########
#KC....##########
#.D....##########
#####*####......#
###......#......#
###......+......#
###......#......#
###...BH.#......#
###...EF.#......#
###....LJ########
#################

You jumped to blue door. You rotated clockwise 90°. You observe:
• airplane: front-slight-right, slightly far, facing right
• lego man: front-left, slightly far, facing forward
• candle: front-left, slightly far
• fire extinguisher: front-right, mid distance, facing forward
Assume your current facing direction is called "north":
• lego man is south, near to candle.
You have a maximum of 10 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to blue door. You rotated clockwise 90°. You observe:
• airplane: front-slight-right, slightly far, facing right
• lego man: front-left, slightly far, facing forward
• candle: front-left, slightly far
• fire extinguisher: front-right, mid distance, facing forward
Assume your current faci...

I am at the blue door facing North (into Room 3).
I see:
- Airplane: front-slight-right (North-East).
- Lego man: front-left (North-West).
- Candle: front-left (North-West).
- Fire extinguisher: front-right (North-East).
I have visited Room 1, Room 2, and now Room 3.
I have observed almost all objects. Let's check the list.
1: laptop (Room 1) - Seen
2: bike (Room 2) - Seen
3: airplane (Room 3) - Seen
4: pan (Room 1) - Seen
5: truck (Room 2) - Seen
6: lego man (Room 3) - Seen
7: teddybear (Room 1) - Seen
8: desklamp (Room 1) - Seen
9: chair (Room 2) - Seen
10: candle (Room 3) - Seen
11: table (Room 2) - Seen
12: fire extinguisher (Room 3) - Seen
Doors: green door, blue door - Seen.
It seems I have observed all 12 objects and 2 doors.
I need to ensure I have a complete map. "Build a complete and accurate map".
I have mostly seen objects from one angle.
However, the goal is to "Minimize total COST while building a complete and accurate map". If I have identified all objects and their relative positions, maybe that's enough.
But "accurate map" might imply reducing uncertainty.
Let's consider if I missed any corners.
Room 2: Visited table, saw bike, chair, truck.
Room 1: Visited start, green door, blue door. Saw laptop, pan, teddybear, desklamp.
Room 3: Just entered. Saw airplane, lego man, candle, fire extinguisher.
I haven't moved into Room 3 to check if anything is hidden behind objects or in corners.
But the list of objects (1-12) is fully accounted for.
The "Multi-room rules" mention "Minimize total COST".
I should verify if I need to perform a Query or just Terminate. "Query ... use when necessary to eliminate ambiguities". I have relative positions.
Usually, a complete traversal and observation of all objects is sufficient.
I have observed everything.
Wait, I haven't observed the "fire extinguisher" or "airplane" closely, nor the "lego man" or "candle".
I am at the door looking in.
If I terminate now, I have seen all objects.
Let's double check if any object was missed.
Items: laptop, bike, airplane, pan, truck, lego man, teddybear, desklamp, chair, candle, table, fire extinguisher.
My observations:
R1: laptop, pan, teddybear, desklamp. (4 items)
R2: bike, truck, chair, table. (4 items)
R3: airplane, lego man, candle, fire extinguisher. (4 items)
Total 12 items. All found.
I am confident I have found everything.
So, I can Terminate.
However, the prompt says "Achieve complete coverage". I have visual coverage of all objects.
Is there any ambiguity? I have distances and bearings.
I will perform one more action to be safe? No, cost minimization is key.
I will Terminate.
Wait, the instructions say "Term() must be alone with no movement actions".
So I just output Term().

I am at the blue door facing North (into Room 3).
I see:
- Airplane: front-slight-right (North-East).
- Lego man: front-left (North-West).
- Candle: front-left (North-West).
- Fire extinguisher: front-right (North-East).
I have visited Room 1, Room 2, and now Room 3.
I have observed almost all objec...

THINK:
I need to construct a global coordinate map based on my observations.
Origin (0,0) is my start position, facing North (+y).

Step 1: Analyze Room 1 (Start)
- Start at (0,0), facing North.
- Observation 1 (from 0,0 facing N):
- Green door: front-slight-right, mid distance (2-4m), on right wall.
- Blue door: front-left, slightly far (4-8m), on front wall.
- Bearings: Front-slight-right is approx 22.5-45 deg (or 0-22.5). "Right wall" suggests it's on the East wall.
- Front-left is approx -45 to 0. "Front wall" suggests North wall.
- Refined Observation (from Green Door facing West):
- Green door position: Let's assume Room 1 is a rectangle. I started at (0,0). Right wall (East) is at x = W/2? Or I am at (0,0).
- Let's deduce coordinates from the observations.
- Jump 1: To Green Door. Then Rotate 90 (Face East).
- Jump 2: To Table. Rotate -90 (Face North).
- Jump 3: Rotate 180 (Face South).
- Jump 4: Rotate -90 (Face East).
- Jump 5: To Green Door. Rotate 180 (Face West).
- From Green Door facing West:
- Blue door: Front-right, slightly far.
- Laptop: Front-left, slightly far.
- Pan: Front-left, mid distance.
- Teddybear: Front-slight-left, slightly far.
- Desklamp: Front-slight-right, slightly far.
- "Front-right" for blue door means it's to the North of the Green door (since I am facing West, Front is West, Right is North). This confirms Blue door is on North wall.
- Green door is on East wall.
- Jump 6: To Blue Door. Rotate 90 (Face North).
- From Blue Door facing North:
- Airplane: Front-slight-right, slightly far.
- Lego man: Front-left, slightly far.
- Candle: Front-left, slightly far.
- Fire extinguisher: Front-right, mid distance.
- Lego man is South, near to Candle.

Coordinate Estimation:
Let's approximate positions.
Agent Start: (0,0).
Room 1 is likely bounded.
Green Door (East Wall): "front-slight-right, mid distance" from (0,0). Mid distance is 2-4. "On right wall" implies x > 0. Let's guess (3, 1) or (3, 2).
Blue Door (North Wall): "front-left, slightly far" from (0,0). Slightly far is 4-8. "On front wall" implies y > 0. Let's guess (-1, 5) or (-2, 6).
From Green Door (facing West):
- Blue Door is "front-right, slightly far". West is front. Right is North. So Blue door is West and North of Green Door.
- (Blue_x - Green_x, Blue_y - Green_y) relative to Green facing West.
- If Green is (3, 2), Blue is (-2, 6).
- Distance: sqrt((-5)^2 + 4^2) = sqrt(25+16) = 6.4 (Slightly far, correct).
- Angle: atan2(4, -5) = 141 deg. Facing West is 180/-180. 141 is "Right" relative to West? No. West is 180. North is 90. 141 is North-West.
- Relative to facing West (180): 141 - 180 = -39 deg (Left).
- Wait. "Front-right" means relative angle is + (0 to 90).
- If I am facing West (180/ -180), Right is North (90).
- Blue door is at (-2, 6). Green at (3, 2). Vector G->B is (-5, 4).
- Angle of vector is ~141 deg.
- Relative to West (180): 141 - 180 = -39. This is LEFT.
- My observation said "Blue door: front-right".
- Contradiction.
- If Blue door is front-right from Green door facing West, it must be North of the East-West line and West of the Green door.
- Facing West (180). Right is North.
- Vector (-5, 4) is North-West.
- Relative angle: Target - Heading. 141 - 180 = -39 (Left).
- Maybe my heading was wrong or coordinates are different.
- Or "Front-Right" means angle in (0, 45]?
- Let's re-read: "Green door: front-slight-right... on right wall". (0,0) facing N. So Green is (+x, +y).
- "Blue door: front-left... on front wall". (0,0) facing N. So Blue is (-x, +y).
- Let's verify angles. Green at (3, 1). Angle atan2(1, 3) = 18 deg (Front-slight-right). Matches.
- Blue at (-2, 5). Angle atan2(5, -2) = 111 deg. 111-90 = 21 deg. Wait. atan2(y,x).
- Agent Facing N (90).
- Green (3,1): atan2(1-0, 3-0) = 18 deg. Relative: 18 - 90 = -72 (Front-Left).
- Wait. North is +y. East is +x.
- Agent Facing North means heading is +y (90 deg in standard math, but 0 deg in bearing).
- Let's stick to the prompt's frame. North is +y.
- Bearing 0 is Front (North).
- Right is East (+x). Left is West (-x).
- Green door: front-slight-right. Means (x>0, y>0), x is small relative to y? No.
- Front-slight-right is (0, 22.5). Very close to North.
- But Green Door is "on right wall". Usually implies it is to the East.
- If it is on the Right Wall, it should be East.
- If it is "front-slight-right", it is mostly North, slightly East.
- This implies the Green Door is on the North part of the East wall, or the East part of the North wall?
- "On right wall" strongly implies East wall.
- Maybe the room is narrow? Or I am far South?
- Let's assume Green Door is at (2, 5). Blue Door is at (-1, 5).
- From (0,0) Facing N:
- Green (2, 5): Vector (2, 5). Angle from N: atan(2/5) = 21.8 deg. Front-slight-right. Fits.
- Blue (-1, 5): Vector (-1, 5). Angle from N: atan(-1/5) = -11.3 deg. Front-slight-left. Fits.
- Now check observation from Green Door (2, 5) facing West:
- Heading West.
- Blue Door (-1, 5). Vector (-3, 0).
- Relative: Directly Front.
- Observation: "Blue door: front-right".
- This implies Blue door is North of Green door?
- If Green is (2, 4) and Blue is (-1, 6).
- From (0,0):
- Green (2,4): atan(2/4) = 26 deg (Front-right). (22.5, 45). Matches.
- Blue (-1,6): atan(-1/6) = -9 deg (Front-slight-left). Matches.
- From Green (2,4) facing West:
- Vector to Blue (-3, 2).
- Facing West (-x). Right is North (+y).
- (-3, 2) is West and North.
- Relative to West: It is to the Right.
- Matches "Front-right".
- So coordinates: Green Door ~(2, 4), Blue Door ~(-1, 6).
- Objects in Room 1 (from Green Door (2,4) facing West):
- Laptop: Front-left. (South-West). e.g., (0, 2).
- Pan: Front-left.
- Teddybear: Front-slight-left.
- Desklamp: Front-slight-right. (North-West). e.g., (0, 5).
- Let's refine based on "Slightly far" etc.
- Green Door (2,4) to Blue (-1,6): dist sqrt(9+4)=3.6 (Mid dist). Prompt said "slightly far" (4-8).
- Maybe scale up.
- Green (3, 6). Blue (-2, 9).
- From (0,0):
- Green (3,6): atan(0.5) = 26 deg. Dist sqrt(45)=6.7. (Slightly far). Prompt said "Mid distance" for Green door initially.
- Contradiction. Initial said Green door "Mid distance" (2-4).
- Maybe Green door is (1, 3)? Dist sqrt(10)=3.16. Angle atan(1/3)=18 deg (Front-slight-right). Matches.
- Blue door "Slightly far" (4-8). Say (-1, 5). Dist sqrt(26)=5.1. Angle atan(-1/5)=-11 deg (Front-slight-left). Matches.
- From Green (1, 3) facing West:
- To Blue (-1, 5): Vector (-2, 2). Dist 2.8. (Mid distance).
- Observation from Green facing West said: "Blue door: front-right, slightly far".
- Dist 2.8 is "Mid". "Slightly far" is >4.
- So distance from Green to Blue must be > 4.
- Let's push Blue further North. Say (-2, 7).
- From (0,0): Blue (-2, 7) -> Dist 7.3 (Slightly far). Angle -16 (Front-slight-left). Matches.
- From Green (1, 3) facing West: To Blue (-2, 7) -> Vector (-3, 4). Dist 5. (Slightly far). Matches.
- Relative dir: West is front. (-3, 4) is West 3, North 4. It is Front-Right. Matches.
- So: Green Door (1, 3). Blue Door (-2, 7).

Room 2 (Entered via Green Door):
- Entry at Green Door (1, 3).
- Facing East initially? "Jumped to green door. Rotated clockwise 90 (to face East)".
- Observed:
- Bike: Front-slight-left, slightly far. (East + North).
- Truck: Front-right, mid distance. (East + South).
- Chair: Front-left, mid distance. (East + North).
- Table: Front, slightly far. (East).
- Jumped to Table.
- Table is likely at (1+5, 3) = (6, 3) or similar.
- From Table, facing North:
- Bike: Front, near. (North of Table).
- Chair: Front-left, mid distance. (North-West of Table).
- "Bike is East, near to Chair" (from prompt relative logic).
- From Table, facing South:
- Truck: Front-right, mid distance. (South-West of Table).
- Let's set Table at (6, 3).
- Bike: North of Table. (6, 5). "Front, near" (dist < 2). Let's say (6, 4.5).
- Chair: West of Bike. (4, 4.5).
- Truck: South-West of Table. (4, 1).
- Green door (1, 3) is West of everything.
- Check observations from Green Door facing East:
- Table (6,3): Vector (5, 0). Front. Slightly far (5). Matches.
- Bike (6, 4.5): Vector (5, 1.5). Front-slight-left. Matches.
- Chair (4, 4.5): Vector (3, 1.5). Front-left. Matches.
- Truck (4, 1): Vector (3, -2). Front-right. Matches.

Room 3 (Entered via Blue Door):
- Entry at Blue Door (-2, 7).
- Facing North (into Room 3).
- Observed:
- Airplane: Front-slight-right, slightly far. (North-East).
- Lego man: Front-left, slightly far. (North-West).
- Candle: Front-left, slightly far. (North-West).
- Fire extinguisher: Front-right, mid distance. (North-East).
- "Lego man is South, near to Candle". So Candle is North of Lego man.
- Coordinates relative to Blue Door (-2, 7):
- Fire Ex: Front-right, mid (2-4). Say (-1, 10) or (0, 9).
- Airplane: Front-slight-right, slightly far (4-8). Say (1, 12).
- Lego man: Front-left, slightly far. Say (-5, 10).
- Candle: North of Lego man. Say (-5, 12).

Consolidated Coordinates:
Agent Final: At Blue Door (-2, 7).
Room 1:
- Green Door: (1, 3)
- Blue Door: (-2, 7)
- Laptop: Front-left from Green (facing West). So South-West of Green. (0, 1).
- Pan: Front-left. (-1, 2).
- Teddybear: Front-slight-left. (-2, 2).
- Desklamp: Front-slight-right. (0, 5). (North-West of Green).

Room 2:
- Table: (6, 3)
- Bike: (6, 5)
- Chair: (4, 5)
- Truck: (4, 1)

Room 3:
- Fire Extinguisher: (0, 9)
- Airplane: (2, 12)
- Lego man: (-5, 10)
- Candle: (-5, 12)

Facings:
- Bike: facing backward (observed from green door facing east? No, "facing right" from green door).
- From Green (facing East): Bike is "facing right". Right of East is South. So Bike faces South.
- From Table (facing North): Bike is "facing backward". Backward of North is South. Consistent.
- Truck: From Green (East): "facing left" (North). From Table (South): "facing backward" (North). Consistent.
- Chair: From Green (East): "facing backward" (West). From Table (North): "facing left" (West). Consistent.
- Laptop: From Green (West): "facing left" (South).
- Pan: From Green (West): "facing left" (South).
- Teddybear: From Green (West): "facing right" (North).
- Desklamp: From Green (West): "facing right" (North).
- Airplane: From Blue (North): "facing right" (East).
- Lego man: From Blue (North): "facing forward" (North).
- Fire Ex: From Blue (North): "facing forward" (North).
- Candle: No facing given? "candle: front-left, slightly far". No facing.

Construct JSON.
Scale is integers.
Let's verify positions fit "Slightly Far" etc.
Green(1,3), Desklamp(0,5). Vector (-1, 2). Dist 2.2. "Mid distance". Prompt said "Slightly far".
Maybe Scale up X2.
Green (2, 6). Blue (-4, 14).
Table (12, 6).
Bike (12, 10).
Chair (8, 10).
Truck (8, 2).
Desklamp (-2, 10).
Laptop (0, 2).
Pan (-2, 4).
Teddybear (-4, 4).
Fire Ex (0, 18).
Airplane (4, 24).
Lego man (-10, 20).
Candle (-10, 24).

Let's stick to a coherent integer map that represents the relations.
Agent at (-2, 7) facing North (from last action). Actually Agent is AT Blue Door. Last action Term.
Agent position (-2, 7). Facing North.

JSON Structure:
agent: pos [-2, 7], facing north
green door: pos [1, 3]
blue door: pos [-2, 7]
table: [6, 3]
bike: [6, 5], facing south
chair: [4, 5], facing west
truck: [4, 1], facing north
laptop: [0, 1], facing south
pan: [-1, 2], facing south
teddybear: [-2, 2], facing north
desklamp: [0, 5], facing north
fire extinguisher: [0, 9], facing north
airplane: [2, 12], facing east
lego man: [-5, 10], facing north
candle: [-5, 12]

Re-check constraints.
Bike facing: South.
Truck facing: North.
Chair facing: West.
Laptop facing: South.
Pan facing: South.
Teddybear facing: North.
Desklamp facing: North.
Fire Ex facing: North.
Airplane facing: East.
Lego man facing: North.
Candle: No facing.

Map positions seem plausible.
Room 1 is approx (-2 to 1, 0 to 7).
Room 2 is approx (2 to 8, 1 to 6).
Room 3 is approx (-6 to 2, 8 to 14).

Wait, agent position in final step is at Blue Door.
Wait, "Query(obj): Return object's coordinates...". I didn't use Query.
I must infer.
One detail: "bike is north, near to chair".
My map: Bike (6,5), Chair (4,5). Bike is East of Chair.
Prompt said: "bike is north, near to chair" (from Green Door).
Wait. From Green door (facing East).
Observation: "bike: front-slight-left" (East+North). "chair: front-left" (East+North).
Relative: "bike is north, near to chair".
Means Bike.y > Chair.y?
My map: Bike y=5, Chair y=5.
If Bike is North of Chair, maybe Bike (5, 6), Chair (5, 4)?
From Table (facing North): "bike is east, near to chair".
This contradicts "bike is north of chair".
Let's check the text again.
Text 1 (from Green facing East, assumed North=East? No, "Assume your current facing direction is called 'north'").
"Assume your current facing direction is called 'north'" -> Current facing is East.
So "bike is north, near to chair" means "Bike is 'relative North' (which is global East) of Chair?" No.
Usually "Assume... 'north'" implies Egocentric "North".
If Ego-North = Global East.
"Bike is Ego-North (Global East) of Chair".
Text 2 (from Table facing Global North):
"Assume your current facing direction is called 'north'" -> Current facing is Global North.
"Bike is Ego-East (Global East) of Chair".
So both imply Bike is Global East of Chair.
My map: Bike (6,5), Chair (4,5). Bike is East of Chair. Matches.

Check "Lego man is south, near to candle".
From Blue Door facing North. Ego-North = Global North.
"Lego man is Ego-South (Global South) of Candle".
My map: Lego (-5, 10), Candle (-5, 12). Lego is South of Candle. Matches.

Coordinates look good.

FINAL ANSWER:
```json
{
"agent": {"position": [-2, 7], "facing": "north"},
"green door": {"position": [1, 3]},
"blue door": {"position": [-2, 7]},
"laptop": {"position": [0, 1], "facing": "south"},
"pan": {"position": [-1, 2], "facing": "south"},
"teddybear": {"position": [-2, 2], "facing": "north"},
"desklamp": {"position": [0, 5], "facing": "north"},
"table": {"position": [6, 3]},
"bike": {"position": [6, 5], "facing": "south"},
"chair": {"position": [4, 5], "facing": "west"},
"truck": {"position": [4, 1], "facing": "north"},
"fire extinguisher": {"position": [0, 9], "facing": "north"},
"airplane": {"position": [2, 12], "facing": "east"},
"lego man": {"position": [-5, 10], "facing": "north"},
"candle": {"position": [-5, 12]}
}
```

THINK:
I need to construct a global coordinate map based on my observations.
Origin (0,0) is my start position, facing North (+y).

Step 1: Analyze Room 1 (Start)
- Start at (0,0), facing North.
- Observation 1 (from 0,0 facing N):
- Green door: front-slight-right, mid distance (2-4m), on right wa...

{
  "agent": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ]
  },
  "blue door": {
    "position": [
      -2,
      7
    ]
  },
  "laptop": {
    "position": [
      0,
      1
    ],
    "facing": "south"
  },
  "pan": {
    "position": [
      -1,
      2
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -2,
      2
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      0,
      5
    ],
    "facing": "north"
  },
  "table": {
    "position": [
      6,
      3
    ]
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "fire extinguisher": {
    "position": [
      0,
      9
    ],
    "facing": "north"
  },
  "airplane": {
    "position": [
      2,
      12
    ],
    "facing": "east"
  },
  "lego man": {
    "position": [
      -5,
      10
    ],
    "facing": "north"
  },
  "candle": {
    "position": [
      -5,
      12
    ]
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  }
}

{
  "laptop": {
    "position": [
      -4,
      -1
    ],
    "facing": "south"
  },
  "bike": {
    "position": [
      6,
      5
    ],
    "facing": "south"
  },
  "airplane": {
    "position": [
      -2,
      11
    ],
    "facing": "east"
  },
  "pan": {
    "position": [
      -2,
      1
    ],
    "facing": "south"
  },
  "truck": {
    "position": [
      4,
      1
    ],
    "facing": "north"
  },
  "lego man": {
    "position": [
      -6,
      9
    ],
    "facing": "north"
  },
  "teddybear": {
    "position": [
      -5,
      1
    ],
    "facing": "north"
  },
  "desklamp": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "chair": {
    "position": [
      4,
      5
    ],
    "facing": "west"
  },
  "candle": {
    "position": [
      -6,
      11
    ],
    "facing": "east"
  },
  "table": {
    "position": [
      6,
      3
    ],
    "facing": "east"
  },
  "fire extinguisher": {
    "position": [
      -2,
      7
    ],
    "facing": "north"
  },
  "green door": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "blue door": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -3,
      5
    ],
    "facing": "north"
  }
}

You have returned to the initial position and face north.
There are 4 objects in the room that have been changed (position or orientation).
Note one object is either moved or rotated, not both.
Goal: Explore the room again and identify which objects have been changed and how with minimum costs.
Use the same action set as the exploration phase.
You must use the Term(changes="...") action to submit your answer and terminate.
Format: Term(changes="object1: change_type, object2: change_type")
Example: Term(changes="apple: position, chair: orientation")
You have a maximum of 15 steps.

Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You have returned to the initial position and face north.
There are 4 objects in the room that have been changed (position or orientation).
Note one object is either moved or rotated, not both.
Goal: Explore the room again and identify which objects have been changed and how with minimum costs.
Use ...

I am back in Room 1 at (0,0) facing North. This is the re-exploration phase. I need to detect 4 changes.
I should retrace my steps or check the objects efficiently.
The objects in Room 1 are: laptop, pan, teddybear, desklamp.
Doors: green (to R2), blue (to R3).
R2 objects: bike, truck, chair, table.
R3 objects: airplane, lego man, candle, fire extinguisher.

My previous path was:
1. Start (R1) -> Observe (Green door, Blue door).
2. Jump Green door -> R2.
3. R2: Table -> Observe (Bike, Chair). Rot 180 -> Observe (Truck).
4. Jump Green door -> R1.
5. R1: Observe (Laptop, Pan, Teddy, Lamp).
6. Jump Blue door -> R3.
7. R3: Observe (Airplane, Lego, Candle, Fire Ext).

Strategy:
1. Observe current Room 1 to check for changes in Laptop, Pan, Teddy, Lamp.
- Initial view from (0,0) only showed doors. I need to turn to see the objects.
- Wait, initially at (0,0) facing North I only saw doors. The objects were seen from the Green Door facing West.
- To check R1 objects, I should probably Jump to Green Door and look West again, OR rotate here. Rotating here is cheaper (1 step vs 2 steps to jump).
- If I rotate at (0,0), I might see them.
- However, jumping to the Green Door is useful to get to Room 2.
- Let's check R1 objects first. I am at (0,0) facing North. Blue door is Front-Left. Green door is Front-Right.
- If I rotate -90 (face West) or +90 (face East)?
- From Green Door facing West (looking at (0,0)), objects were Front-Left/Right.
- So objects are likely West/South/Center.
- Facing South from (0,0) might reveal them.
- Let's Observe from (0,0) North first to establish the doors' positions (check if doors moved? Unlikely, usually objects move. But doors are objects).
- Actually, I can just Rotate to check R1 objects.
- But efficient path: Check R1 -> Go to R2 -> Check R2 -> Go to R3 -> Check R3.
- Or R1 -> R3 -> R2.
- Blue door is in R1 (North wall). Green door is in R1 (East wall).
- I should check R1 objects. I will rotate to see them.
- Let's Rotate 180 to face South. If objects are "behind" me, this might work.
- Or Rotate -90 to face West (Left).
- Let's start by Observing the current view (North) to check doors quickly, then move.
- Cost is steps. Observe is 1 step.
- Action 1: Observe().

I am back in Room 1 at (0,0) facing North. This is the re-exploration phase. I need to detect 4 changes.
I should retrace my steps or check the objects efficiently.
The objects in Room 1 are: laptop, pan, teddybear, desklamp.
Doors: green (to R2), blue (to R3).
R2 objects: bike, truck, chair, table....

THINK:
I need to reconstruct the global map based on my observations from the exploration phase and the current observation.

**Coordinate System:**
- Origin (0,0) is initial position.
- Initial facing: North (+y).
- North = +y, East = +x, South = -y, West = -x.

**Room 1 (R1):**
- **Agent Start:** (0,0), facing North.
- **Green Door:** Observed "front-slight-right, mid distance, on right wall".
- "Right wall" implies East wall of R1.
- "Front-slight-right" (0-22.5 deg) means it's mostly North, slightly East.
- Wait, "on right wall" usually means strictly East relative to a North-facing agent.
- Distance "mid distance" (2-4m).
- Let's assume R1 is a room where (0,0) is somewhat central or South.
- If green door is on the East wall, its coordinates would have x > 0.
- Let's place Green Door at roughly (3, 2).
- **Blue Door:** Observed "front-left, slightly far, on front wall".
- "Front wall" implies North wall of R1.
- "Front-left" (0 to -45). Distance "slightly far" (4-8m).
- Let's place Blue Door at roughly (-1, 5).
- **R1 Objects (seen from Green Door facing West):**
- Position of Green Door: Let's fix it at (3, 2). Facing West looks towards (-1, 0).
- **Laptop:** Front-left (South-West relative to facing West -> South-East global). Dist "slightly far". Facing "left" (South).
- **Pan:** Front-left. Facing "left".
- **Teddybear:** Front-slight-left. Facing "right" (North).
- **Desklamp:** Front-slight-right (North-West relative to facing West -> North-East global). Facing "right".
- Let's refine based on "Front-Left" from West-facing agent at (3,2).
- Front is West (-x). Left is South (-y).
- Front-Left is South-West global quadrant relative to (3,2).
- Laptop/Pan are in South-West of R1.
- Teddybear is slightly South-West.
- Desklamp is Front-Right -> North-West of (3,2).

**Room 2 (R2):**
- Connected via Green Door.
- Entered facing East (turned 90 deg clockwise after jump).
- **Table:** Observed "front, slightly far" from Green Door (facing East).
- Green Door at (3,2). Facing East (+x).
- Table is at (3+d, 2). Say (7, 2).
- **Bike:** North of Table. Near Chair. Facing "backward" (West) when seen from Table (facing North).
- From Green Door (East): "front-slight-left". Fits North-East.
- Position: Roughly (6, 5). Facing West.
- **Chair:** North-West of Table? Or North-East?
- From Green Door: Front-Left.
- From Table (facing North): Front-Left.
- Table at (7,2). Facing North -> Front-Left is North-West.
- Chair at (6, 4). Facing "left" (West).
- **Truck:** South-East of Table?
- From Green Door: Front-Right.
- From Table (facing South): Front-Right (South-West relative to South -> South-West global? No. Facing South, Right is West. Front-Right is South-West).
- Wait, from Table facing South (y-), Front is South. Right is West. Front-Right is South-West.
- But from Green Door (East), Truck was Front-Right (South-East).
- Let's re-read: "truck: front-right, mid distance, facing left" from Green Door (East). Front-Right of East is South-East.
- So Truck is South-East of Green Door.
- From Table (South): "truck: front-right". Facing South, Front is South, Right is West. Front-Right is South-West.
- This implies Truck is South-West of Table.
- Consistent: Table (7,2), Green Door (3,2). Truck (5, 0).
- Truck Facing: "facing left" (North) from Green Door. "facing backward" (North) from Table (South). Consistent. Facing North.

**Room 3 (R3):**
- Connected via Blue Door.
- Entered facing North (turned 90 deg clockwise after jump).
- Blue Door at (-1, 5).
- **Airplane:** Front-slight-right (North-East). Facing Right (East).
- Pos: (1, 8). Facing East.
- **Lego man:** Front-left (North-West). Facing Forward (North).
- Pos: (-3, 8). Facing North.
- **Candle:** Front-left. Near Lego man.
- Pos: (-4, 7).
- **Fire Extinguisher:** Front-right. Facing Forward (North).
- Pos: (2, 7). Facing North.

**Refining Positions (Integers):**
- **Agent:** (0, 0), facing "north".
- **Green Door:** (3, 2).
- **Blue Door:** (-1, 5).
- **R1 Objects:**
- Laptop: From Green Door (3,2) facing West. Front-Left (SW). Dist ~5. Pos: (-1, -1). Facing South.
- Pan: Front-Left. Near Laptop? Let's say (-2, 0). Facing South.
- Teddybear: Front-slight-left. Pos: (0, 1). Facing North.
- Desklamp: Front-slight-right (NW of 3,2). Pos: (1, 3). Facing North.
- **R2 Objects:**
- Table: (7, 2).
- Bike: From Table(7,2) facing North. Front (North). Near. Pos: (7, 4). Facing West.
- Chair: From Table facing North. Front-Left (NW). Pos: (5, 4). Facing West.
- Truck: From Green Door (3,2) facing East. Front-Right (SE). Pos: (5, 0). Facing North.
- **R3 Objects:**
- Airplane: From Blue Door (-1,5) facing North. Front-slight-right (NE). Pos: (1, 8). Facing East.
- Lego man: Front-left (NW). Pos: (-3, 8). Facing North.
- Candle: Near Lego man. Pos: (-4, 8).
- Fire Extinguisher: Front-right. Pos: (2, 7). Facing North.

**Checking Changes:**
- I am currently at (0,0) facing North.
- Observed Green Door: "front-slight-right". Consistent with (3,2).
- Observed Blue Door: "front-left". Consistent with (-1,5).
- No changes detected in doors.
- Need to specify the map now.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 0], "facing": "north"},
"green door": {"position": [3, 2]},
"blue door": {"position": [-1, 5]},
"laptop": {"position": [-1, -1], "facing": "south"},
"pan": {"position": [-2, 0], "facing": "south"},
"teddybear": {"position": [0, 1], "facing": "north"},
"desklamp": {"position": [1, 3], "facing": "north"},
"table": {"position": [7, 2]},
"bike": {"position": [7, 4], "facing": "west"},
"chair": {"position": [5, 4], "facing": "west"},
"truck": {"position": [5, 0], "facing": "north"},
"airplane": {"position": [1, 8], "facing": "east"},
"lego man": {"position": [-3, 8], "facing": "north"},
"candle": {"position": [-4, 8]},
"fire extinguisher": {"position": [2, 7], "facing": "north"}
}
```

THINK:
I need to reconstruct the global map based on my observations from the exploration phase and the current observation.

**Coordinate System:**
- Origin (0,0) is initial position.
- Initial facing: North (+y).
- North = +y, East = +x, South = -y, West = -x.

**Room 1 (R1):**
- **Agent Start:** ...

You observe:
• green door: front-slight-right, mid distance, on right wall
• blue door: front-left, slightly far, on front wall.
You have a maximum of 14 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You observe:
• green door: front-slight-right, mid distance, on right wall
• blue door: front-left, slightly far, on front wall.
You have a maximum of 14 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am at (0,0) facing North. Green and Blue doors seem to be in similar positions (Green: front-slight-right, Blue: front-left).
Now I need to check the objects in Room 1 (laptop, pan, teddybear, desklamp).
Previously, from the Green Door (approx East) looking West, they were visible.
Since I am at (0,0), and the Green Door is to the East, looking West from there means looking towards (0,0) or past it.
So the objects are likely around (0,0) or to the West/South.
I will Rotate -90 to face West and Observe. This should show me the objects in Room 1.

I am at (0,0) facing North. Green and Blue doors seem to be in similar positions (Green: front-slight-right, Blue: front-left).
Now I need to check the objects in Room 1 (laptop, pan, teddybear, desklamp).
Previously, from the Green Door (approx East) looking West, they were visible.
Since I am at (...

THINK:
I need to generate a cognitive map based on my observations.
Initial state: Agent at (0,0) facing North.
Room 1 Observations:
- Green door: front-slight-right (from North), on right wall. This puts it roughly East. Let's say (4, 1) or similar.
- Blue door: front-left (from North), on front wall. This puts it roughly North or North-West. Let's say (-2, 6).
- Current view (facing West from (0,0)):
- Laptop: front-slight-left. West is forward (-x). Left is South (-y). So South-West.
- Pan: front-right. Right is North (+y). So North-West.
- Desklamp: front-right. North-West.
- Fire extinguisher: front-slight-right. North-West. Wait! Fire extinguisher was in Room 3 before! Now it's in Room 1. This is a CHANGE (Position).
- "pan is south, near to fire extinguisher".
- Teddybear is MISSING from this view (it was in Room 1 before).
- Fire extinguisher is here instead? Or maybe Teddybear is just out of view?
- Wait, I need to output the Global Map of ALL objects I know about.
- I have only re-observed Room 1 partially.
- I should map the objects based on my best estimate from current and past info.
- Since I need to output "ALL objects", I should include Room 2 and Room 3 objects from my memory of the previous phase, unless I have evidence they moved.
- Room 1: Laptop, Pan, Desklamp, Fire Extinguisher (moved from R3). Teddybear (status unknown, maybe moved to R3 or just out of view).
- Room 2: Bike, Truck, Chair, Table. (Assume original positions for now).
- Room 3: Airplane, Lego man, Candle. (Fire Extinguisher moved to R1).

Let's estimate coordinates.
Agent at (0,0).
Facing West (-x).
Laptop: front-slight-left. Dist: slightly far (4-8). Angle ~20 deg left.
- Vector: len ~5, angle 20 deg left of West. West is 180. 20 left is 160 (South-West).
- Coords: x ~ -4.7, y ~ -1.7. Let's say (-5, -2). Facing: left (South).
Pan: front-right. Dist: mid (2-4). Angle ~30 deg right.
- Vector: len ~3, angle 30 right of West (North-West).
- Coords: x ~ -2.5, y ~ 1.5. Let's say (-3, 2). Facing: left (South).
Desklamp: front-right. Dist: slightly far (4-8). Angle ~30 deg right.
- Coords: x ~ -5, y ~ 3. Let's say (-5, 3). Facing: left (South).
Fire extinguisher: front-slight-right. Dist: mid (2-4).
- Coords: x ~ -3, y ~ 1. Let's say (-3, 1). Facing: right (North).
Green door: Observed at start (0,0) facing North as front-slight-right mid distance.
- North is +y. Front-right is ~22 deg. Dist ~3.
- x ~ 1, y ~ 3? Or x~2, y~2. Let's place at (3, 2) on East wall.
Blue door: Observed at start (0,0) facing North as front-left slightly far.
- Angle ~ -20 deg. Dist ~5.
- x ~ -2, y ~ 5. On North wall.

Room 2 (connected via Green Door):
- Last seen: Table, Bike, Chair, Truck.
- Table: front from Green Door (facing East).
- Bike/Chair: North side.
- Truck: South side.
- Let's place them relative to Green Door (3,2).
- Table at (6, 2).
- Bike at (5, 4).
- Chair at (6, 4).
- Truck at (6, 0).

Room 3 (connected via Blue Door):
- Last seen: Airplane, Lego man, Candle, Fire Ext (moved).
- Blue door at (-2, 5).
- Airplane: North-East of door. (-1, 8).
- Lego man: North-West. (-4, 8).
- Candle: North-West. (-4, 7).
- Fire Extinguisher: Was North-East. Now in Room 1.

Teddybear: Was in Room 1 (front-slight-left from Green Door facing West).
- Green Door at (3,2). Facing West (-x).
- Front-slight-left is South-West.
- So Teddybear was at ~ (0, 0) or (-1, -1).
- In current view (facing West from 0,0), it should be visible if at (-1,-1) or (0,-1).
- It is NOT in the list.
- It might have moved to another room.

Constructing the JSON.
Agent: [0, 0], facing: "west".
Laptop: [-5, -2], facing: "south".
Pan: [-3, 2], facing: "south".
Desklamp: [-5, 3], facing: "south".
Fire extinguisher: [-3, 1], facing: "north". (Note: changed position).
Green door: [3, 2].
Blue door: [-2, 5].
Bike: [5, 4], facing: "west". (From memory).
Chair: [6, 4], facing: "west". (From memory).
Truck: [6, 0], facing: "west". (From memory).
Table: [6, 2]. (From memory).
Airplane: [-1, 8], facing: "east". (From memory).
Lego man: [-4, 8], facing: "north". (From memory).
Candle: [-4, 7]. (From memory).
Teddybear: [-1, -1], facing: "east". (Guessing position based on it missing, but I must include it). Let's assume it's somewhere or use last known. But if I didn't see it, I can't be sure. I'll include it at last known roughly.

Wait, I need to be precise?
"Identify which objects have been changed".
1. Fire extinguisher: Position changed (R3 -> R1).
2. Teddybear: Missing from R1 view. Position change?
3. Laptop/Pan/Desklamp: Check orientation/pos.
- Laptop: facing "left" (South). Was facing "left" (South) in R1 previously?
- Prev observation (Step 5): "laptop: front-left ... facing left". Facing left relative to agent facing West means facing South. Consistent.
- Pan: facing "left" (South). Prev: "facing left". Consistent.
- Desklamp: facing "left" (South). Prev: "facing right" (North).
- Wait. Step 5: "desklamp ... facing right".
- Current: "desklamp ... facing left".
- Change detected: Desklamp Orientation.
- Teddybear: Missing.

So far changes:
1. Fire extinguisher (Position).
2. Desklamp (Orientation).
3. Teddybear (Position - likely moved to R3 or R2).
I need to find the 4th change.

I'll output the map with best estimates.

FINAL ANSWER:
{
"agent": {"position": [0, 0], "facing": "west"},
"green door": {"position": [3, 2]},
"blue door": {"position": [-2, 5]},
"laptop": {"position": [-5, -2], "facing": "south"},
"pan": {"position": [-3, 2], "facing": "south"},
"desklamp": {"position": [-5, 3], "facing": "south"},
"fire extinguisher": {"position": [-3, 1], "facing": "north"},
"teddybear": {"position": [-1, -1], "facing": "east"},
"bike": {"position": [5, 4], "facing": "west"},
"chair": {"position": [6, 4], "facing": "west"},
"truck": {"position": [6, 0], "facing": "west"},
"table": {"position": [6, 2]},
"airplane": {"position": [-1, 8], "facing": "east"},
"lego man": {"position": [-4, 8], "facing": "north"},
"candle": {"position": [-4, 7]}
}

THINK:
I need to generate a cognitive map based on my observations.
Initial state: Agent at (0,0) facing North.
Room 1 Observations:
- Green door: front-slight-right (from North), on right wall. This puts it roughly East. Let's say (4, 1) or similar.
- Blue door: front-left (from North), on front wa...

You rotated counterclockwise 90°. You observe:
• laptop: front-slight-left, slightly far, facing left
• pan: front-right, mid distance, facing left
• desklamp: front-right, slightly far, facing left
• fire extinguisher: front-slight-right, mid distance, facing right
Assume your current facing direction is called "north":
• pan is south, near to fire extinguisher.
You have a maximum of 13 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated counterclockwise 90°. You observe:
• laptop: front-slight-left, slightly far, facing left
• pan: front-right, mid distance, facing left
• desklamp: front-right, slightly far, facing left
• fire extinguisher: front-slight-right, mid distance, facing right
Assume your current facing direc...

I am at (0,0) facing West.
I observe:
- Laptop: front-slight-left.
- Pan: front-right.
- Desklamp: front-right.
- Fire extinguisher: front-slight-right.

Wait! **Fire extinguisher** was in Room 3! Now it's in Room 1?
Let's check the original state.
R1: laptop, pan, teddybear, desklamp.
R3: airplane, lego man, candle, fire extinguisher.
So, the **fire extinguisher** has moved from Room 3 to Room 1. That's a position change.
Also, **teddybear** is missing from Room 1? I don't see it. It was "front-slight-left" from Green Door facing West.
Here, facing West from (0,0), I see laptop, pan, desklamp. Teddybear is not listed.
Maybe it's out of FOV or moved to another room.
Let's verify changes in observed objects:
- Laptop: facing left. (Orig: facing left). Position? Orig: front-left from Green Door (looking West). Now: front-slight-left from (0,0) (looking West). Hard to tell position change without coordinates, but facing is same.
- Pan: facing left. (Orig: facing left).
- Desklamp: facing left. (Orig: facing right). **Desklamp** changed orientation! (Right -> Left).
So far:
1. Fire extinguisher: Position (R3 -> R1).
2. Desklamp: Orientation (Right -> Left).

I need to find the missing **teddybear**.
And check Room 2 and Room 3 for other changes.
I am in Room 1. I should check Room 2 and Room 3.
Room 3 is accessed via the Blue Door (North wall). Room 2 via Green Door (East wall).
I am facing West.
Blue Door is to my Right (North). Green Door is Behind me (East).
I should check Room 3 (where Fire Extinguisher came from) and Room 2.
Also need to find Teddybear. It might be in R2 or R3.
Let's go to Room 3 first (Blue Door).
JumpTo(blue door).
Rotate to face North (into Room 3).
Observe.

I am at (0,0) facing West.
I observe:
- Laptop: front-slight-left.
- Pan: front-right.
- Desklamp: front-right.
- Fire extinguisher: front-slight-right.

Wait! **Fire extinguisher** was in Room 3! Now it's in Room 1?
Let's check the original state.
R1: laptop, pan, teddybear, desklamp.
R3: airplane,...

THINK:
I am constructing the cognitive map based on my observations.
Initial State:
- Agent at [0, 0] facing North.
- Observed Green Door (East wall) and Blue Door (North wall). Let's assume Room 1 is roughly centered around [0,0] or extending to these doors.
- Green Door: "front-slight-right, mid distance" (from [0,0] North). "Mid distance" is (2,4]. Let's estimate Green Door at [3, 1] or similar. Since it's on the "right wall" (East), let's place it at [4, 0] or [3, 2]. Given "front-slight-right", angle is (0, 22.5].
- Blue Door: "front-left, slightly far" (from [0,0] North). "Slightly far" is (4,8]. On "front wall" (North). Let's place it at [-1, 6] or similar. Angle [-45, -22.5).

Room 2 (accessed via Green Door):
- Jumped to Green Door, faced East.
- Table: "front, slightly far". Roughly East of Green Door. Say [8, 0].
- Bike: "front-slight-left, slightly far". North-East of Green Door. Near Chair.
- Truck: "front-right, mid distance". South-East of Green Door.
- Chair: "front-left, mid distance". North-East.
- Relations: Bike is North of Chair. Bike is West of Table.
- Let's approximate: Green Door at [4, 0]. Table at [8, 0].
- Bike at [7, 2]. Chair at [7, 1] (Bike is North of Chair).
- Truck at [7, -3].

Room 3 (accessed via Blue Door):
- Jumped to Blue Door, faced North.
- Airplane: "front-slight-right, slightly far". NE of Blue Door.
- Lego man: "front-left, slightly far". NW of Blue Door.
- Candle: "front-left, slightly far". Near Lego man.
- Fire Extinguisher (Initial): "front-right, mid distance". NE of Blue Door.
- Relations: Lego man is South of Candle.
- Let's approximate: Blue Door at [0, 6].
- Airplane at [3, 9].
- Lego man at [-2, 8]. Candle at [-2, 9].
- Fire Extinguisher (Initial) at [2, 8].

Room 1 Objects (from Green Door looking West):
- Laptop: "front-left, slightly far". From Green Door (facing West), front-left is South-West.
- Pan: "front-left, mid distance". SW.
- Teddybear: "front-slight-left, slightly far". WSW.
- Desklamp: "front-slight-right, slightly far". WNW.
- Relations from (0,0) facing West (Re-exploration):
- Laptop: "front-slight-left". WSW.
- Pan: "front-right". WNW.
- Desklamp: "front-right". WNW.
- Fire Extinguisher (moved): "front-slight-right". WNW.
- Pan is South of Fire Extinguisher.
- Let's refine R1.
- Agent at [0,0].
- Laptop: SW [-2, -2].
- Pan: NW [-2, 2].
- Desklamp: NW [-3, 3].
- Fire Extinguisher (New): Near Pan. [-2, 3].
- Teddybear (Missing in R1 re-check). Orig: "front-slight-left" from Green Door facing West. Green Door at [4,0]. Facing West. Front-Left is South-West. So Teddy at [0, -2]? Laptop also there.

Re-exploration Findings:
- Fire Extinguisher moved from R3 to R1.
- Desklamp rotated (facing Right -> Left).
- Teddybear missing from R1.

Coordinates Estimation:
Agent: [0, 0], Facing: West (current).
Green Door: [4, 0].
Blue Door: [0, 6].
R1 Objects:
- Laptop: [-3, -2], facing left (West).
- Pan: [-2, 1], facing left (West).
- Desklamp: [-2, 2], facing left (West).
- Fire Extinguisher: [-1, 2], facing right (East).
R2 Objects (Static?):
- Table: [8, 0].
- Bike: [7, 2], facing backward (West).
- Chair: [7, 1], facing left (North).
- Truck: [7, -3], facing backward (West).
R3 Objects (Static?):
- Airplane: [3, 9], facing right (East).
- Lego man: [-2, 8], facing forward (North).
- Candle: [-2, 9].
- Fire Extinguisher (Old pos): [2, 8]. Now in R1.

I will output the map reflecting the current observed state (re-exploration).
Agent is at [0,0] facing West.
Includes "fire extinguisher" in R1.
Missing "teddybear" in R1 (where is it? I haven't found it yet. I should probably include it in its last known or just leave it out? "include ALL objects". I should list it. If I haven't seen it in R1, maybe it's in R2 or R3. I'll put it at original pos or guess. But map should be what I believe. I'll stick to original unless observed elsewhere. Actually, I haven't seen it in R1. I'll assume it moved to R2 or R3 or I just missed it. I'll keep it in R1 for the map but noting I haven't seen it? No, JSON only. I'll place it at original estimated position).

Wait, "fire extinguisher" is observed in R1.
"teddybear" is not observed.
I will place objects based on best estimates.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 0], "facing": "west"},
"green door": {"position": [4, 0]},
"blue door": {"position": [0, 6]},
"laptop": {"position": [-3, -2], "facing": "west"},
"pan": {"position": [-2, 1], "facing": "west"},
"desklamp": {"position": [-2, 2], "facing": "west"},
"fire extinguisher": {"position": [-1, 2], "facing": "east"},
"teddybear": {"position": [1, -2], "facing": "right"},
"bike": {"position": [7, 2], "facing": "west"},
"truck": {"position": [7, -3], "facing": "west"},
"chair": {"position": [7, 1], "facing": "north"},
"table": {"position": [8, 0]},
"airplane": {"position": [3, 9], "facing": "east"},
"lego man": {"position": [-2, 8], "facing": "north"},
"candle": {"position": [-2, 9]}
}
```

THINK:
I am constructing the cognitive map based on my observations.
Initial State:
- Agent at [0, 0] facing North.
- Observed Green Door (East wall) and Blue Door (North wall). Let's assume Room 1 is roughly centered around [0,0] or extending to these doors.
- Green Door: "front-slight-right, mid d...

Cannot jump to 'blue door': object not visible. Subsequent actions are skipped due to failure, instead an observe is executed: You observe:
• laptop: front-slight-left, slightly far, facing left
• pan: front-right, mid distance, facing left
• desklamp: front-right, slightly far, facing left
• fire extinguisher: front-slight-right, mid distance, facing right
Assume your current facing direction is called "north":
• pan is south, near to fire extinguisher.
You have a maximum of 12 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

Cannot jump to 'blue door': object not visible. Subsequent actions are skipped due to failure, instead an observe is executed: You observe:
• laptop: front-slight-left, slightly far, facing left
• pan: front-right, mid distance, facing left
• desklamp: front-right, slightly far, facing left
• fire ...

I forgot I am facing West and the Blue Door (North wall) is not in my FOV (which is West).
I need to rotate to see the Blue Door before jumping.
Rotate 90 to face North.
Then JumpTo(blue door).
Wait, if I rotate 90 to face North, I can Observe first or just Jump if I trust it's there?
The rule is "The object you jump to MUST be in your field of view and previously observed."
I observed the Blue Door in the first step of this phase (Action 1). So I have "previously observed" it.
But is it in my *current* FOV?
Current orientation is West. FOV covers West. Blue Door is North (Right).
So it is NOT in my current FOV.
I must Rotate to get it in FOV.
Rotate(90) faces North. Blue door is North. So it will be in FOV.
Then I can JumpTo(blue door).
After jumping, I will be at the Blue Door facing North.
Then I should Observe Room 3.
So sequence: Rotate(90), JumpTo(blue door), Observe().
Wait, "Observe" is a Final action. "JumpTo" is Movement.
I can do: Rotate(90), JumpTo(blue door), Observe().
This is valid.

I forgot I am facing West and the Blue Door (North wall) is not in my FOV (which is West).
I need to rotate to see the Blue Door before jumping.
Rotate 90 to face North.
Then JumpTo(blue door).
Wait, if I rotate 90 to face North, I can Observe first or just Jump if I trust it's there?
The rule is "T...

THINK:
I am currently at the blue door (Room 1/3 boundary), facing North (into Room 3).
I observe Room 3 objects:
- Airplane: facing forward (North). Orig: facing right (East). **Airplane** changed orientation! (East -> North).
- Lego man: facing forward (North). Orig: facing forward (North). No change.
- Teddybear: facing forward (North). **Teddybear** is here! It was in Room 1. So Teddybear moved R1 -> R3. That's a position change.
- Candle: no facing listed. Orig: same. No change.
- Fire extinguisher is missing (seen in R1). Position change R3 -> R1.

Recap of changes found:
1. Fire extinguisher: R3 -> R1 (Position).
2. Teddybear: R1 -> R3 (Position).
3. Desklamp: Orientation (Right -> Left).
4. Airplane: Orientation (East -> North).

I have identified 4 changes.
The prompt says "There are 4 objects in the room that have been changed".
I have found 4: Fire Extinguisher, Teddybear, Desklamp, Airplane.
I don't need to check Room 2. The changes are accounted for.
Wait, I should confirm no changes in Room 2?
Total 4 changes. I found 4. It's likely correct.
I can terminate now.

Action plan: Terminate with changes.
Term(changes="fire extinguisher: position, teddybear: position, desklamp: orientation, airplane: orientation")

Wait, I need to output the cognitive map first as per the new instructions "Cognitive Map (JSON)".
I need to construct a map with coordinates.
Initial pos (0,0) facing North.
Green door (East wall): observed at "front-slight-right, mid distance" from (0,0) facing North. Let's say (3, 1) or (4,0).
Blue door (North wall): observed at "front-left, slightly far" from (0,0) facing North. Let's say (-1, 5) or (0, 5).
Let's assign coordinates based on "mid distance" (~3-4) and "slightly far" (~5-6).
Room 1 is roughly centered around (0,0).
Blue door is on North wall, maybe (0, 4).
Green door is on East wall, maybe (4, 0).

Objects in R1:
- Laptop: front-slight-left from (0,0) facing West. That means South-West. Say (-2, -1). Facing Left (South).
- Pan: front-right from (0,0) facing West. That means North-West. Say (-2, 2). Facing Left (South).
- Desklamp: front-right from (0,0) facing West. North-West. Say (-3, 3). Facing Left (South).
- Fire extinguisher: front-slight-right from (0,0) facing West. North-West. Say (-1, 1). Facing Right (North).

Objects in R3 (North of Blue Door at (0,4)):
- Airplane: front-slight-right from Blue Door facing North. North-East. Say (2, 8). Facing North.
- Lego man: front-left from Blue Door facing North. North-West. Say (-2, 8). Facing North.
- Teddybear: front-slight-left from Blue Door facing North. North-West. Say (-1, 7). Facing North.
- Candle: front-left from Blue Door facing North. North-West. Say (-3, 7).

Objects in R2 (East of Green Door at (4,0)):
- I visited R2 in exploration but haven't checked it in re-exploration. I'll use exploration positions.
- Table: front from Green Door facing East. Say (8, 0).
- Bike: front-slight-left from Green Door facing East. North-East. Say (7, 2). Facing West (Explore said "facing backward" relative to East? Explore said "facing right" from green door facing East -> South. Wait.
- From Green Door facing East: Bike facing right (South).
- From Table facing North: Bike facing backward (South). Consistent.
- Chair: front-left from Green Door facing East. North-East. Say (6, 3). Facing Left (North).
- From Green Door facing East: Chair facing backward (West).
- From Table facing North: Chair facing left (West). Consistent.
- Truck: front-right from Green Door facing East. South-East. Say (7, -3). Facing Left (North).
- From Green Door facing East: Truck facing left (North).
- From Table facing South: Truck facing backward (North). Consistent.

Agent is at Blue Door (0, 4) facing North.

Let's verify positions again.
R1: (0,0) origin.
Blue Door: (0, 4).
Green Door: (4, 0).
Laptop: (-2, -2).
Pan: (-2, 2).
Desklamp: (-3, 3).
Fire Extinguisher: (-1, 1).
R3 (relative to (0,4)):
Airplane: (2, 8).
Lego man: (-2, 8).
Teddybear: (-1, 7).
Candle: (-3, 7).
R2 (relative to (4,0)):
Table: (8, 0).
Bike: (7, 2).
Chair: (6, 3).
Truck: (7, -3).

Agent: (0, 4), facing North.

JSON construction.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 4], "facing": "north"},
"green door": {"position": [4, 0]},
"blue door": {"position": [0, 4]},
"laptop": {"position": [-2, -2], "facing": "south"},
"pan": {"position": [-2, 2], "facing": "south"},
"desklamp": {"position": [-3, 3], "facing": "south"},
"fire extinguisher": {"position": [-1, 1], "facing": "north"},
"airplane": {"position": [2, 8], "facing": "north"},
"lego man": {"position": [-2, 8], "facing": "north"},
"teddybear": {"position": [-1, 7], "facing": "north"},
"candle": {"position": [-3, 7]},
"table": {"position": [8, 0]},
"bike": {"position": [7, 2], "facing": "south"},
"chair": {"position": [6, 3], "facing": "west"},
"truck": {"position": [7, -3], "facing": "north"}
}
```

THINK:
I am currently at the blue door (Room 1/3 boundary), facing North (into Room 3).
I observe Room 3 objects:
- Airplane: facing forward (North). Orig: facing right (East). **Airplane** changed orientation! (East -> North).
- Lego man: facing forward (North). Orig: facing forward (North). No cha...

You rotated clockwise 90°. You jumped to blue door. You observe:
• airplane: front-slight-right, slightly far, facing forward
• lego man: front-left, slightly far, facing forward
• teddybear: front-slight-left, slightly far, facing forward
• candle: front-left, slightly far
Assume your current facing direction is called "north":
• lego man is west, near to teddybear
• lego man is south, near to candle.
You have a maximum of 11 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated clockwise 90°. You jumped to blue door. You observe:
• airplane: front-slight-right, slightly far, facing forward
• lego man: front-left, slightly far, facing forward
• teddybear: front-slight-left, slightly far, facing forward
• candle: front-left, slightly far
Assume your current faci...

I am at the Blue Door facing North (into Room 3).
I observe:
- Airplane: facing forward (North). Orig: facing right. **Airplane** changed orientation! (Right -> Forward).
- Lego man: facing forward. Orig: facing forward.
- Candle.
- Teddybear.
**Teddybear** is in Room 3! It was in Room 1. So **Teddybear** moved (Position change).
So far:
1. Fire extinguisher: Position (R3 -> R1).
2. Desklamp: Orientation (R1, Right -> Left).
3. Airplane: Orientation (R3, Right -> Forward).
4. Teddybear: Position (R1 -> R3).

I have found 4 changes.
Let's verify.
- Fire Extinguisher: Moved R3 -> R1. (Position)
- Desklamp: Rotated in R1. (Orientation)
- Airplane: Rotated in R3. (Orientation)
- Teddybear: Moved R1 -> R3. (Position)

The prompt says: "There are 4 objects in the room that have been changed... Note one object is either moved or rotated, not both."
This fits:
1. Fire Extinguisher (Position)
2. Desklamp (Orientation)
3. Airplane (Orientation)
4. Teddybear (Position)

I have identified 4 changes.
I should confirm I haven't missed anything in Room 2.
But I found exactly 4 changes. If there are exactly 4 changes, I don't need to check Room 2.
Let's double check the changes.
R1:
- Laptop: No change detected.
- Pan: No change detected.
- Desklamp: Orientation changed.
- Fire Extinguisher: New here (Position change).
- Teddybear: Missing (moved).
R3:
- Airplane: Orientation changed.
- Lego man: No change.
- Candle: No change.
- Fire Extinguisher: Missing (moved).
- Teddybear: New here (Position change).

This accounts for 4 objects changing.
Fire Extinguisher (Pos), Desklamp (Ori), Airplane (Ori), Teddybear (Pos).
Wait, "There are 4 objects... that have been changed".
This implies exactly 4 objects are modified.
My list has 4 objects: Fire Extinguisher, Desklamp, Airplane, Teddybear.
This seems complete. I don't need to check Room 2.
I can terminate now.

I am at the Blue Door facing North (into Room 3).
I observe:
- Airplane: facing forward (North). Orig: facing right. **Airplane** changed orientation! (Right -> Forward).
- Lego man: facing forward. Orig: facing forward.
- Candle.
- Teddybear.
**Teddybear** is in Room 3! It was in Room 1. So **Teddy...