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: scooter, 2: shoppingcart, 3: green chair, 4: truck, 5: airplane, 6: cap, 7: teddybear, 8: plant, 9: laptop, 10: toilet, 11: backpack, 12: television
Doors: red door, brown 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 the initial position (0,0) in Room 1, facing North. My task is to generate a complete map of the environment, which consists of three connected rooms, while minimizing the cost (number of Observe and Query actions). My field of view is 90°, and I cannot see anything yet. According to the rules, I cannot use `JumpTo` in the first step, and I must observe objects before I can jump to them. To begin mapping Room 1 and identifying potential exits (doors) or objects, I need to look around. Since I am already facing North, the most efficient first action is to observe the area in my current 90° view. This will reveal any objects or doors located to the North of my starting position.

I am currently at the initial position (0,0) in Room 1, facing North. My task is to generate a complete map of the environment, which consists of three connected rooms, while minimizing the cost (number of Observe and Query actions). My field of view is 90°, and I cannot see anything yet. According ...

THINK:
Based on the observation from position [0, 0] facing North:
1. **scooter**: Located "front-slight-right" (0° to 22.5°) at "mid distance" (2 to 4).
* Estimated coordinates: A position like [1, 3] yields distance $\sqrt{10} \approx 3.16$ and angle $\arctan(1/3) \approx 18.4^\circ$, which fits the bins.
* Facing: "right" (East).
2. **teddybear**: Located "front-left" (-45° to -22.5°) at "slightly far" (4 to 8).
* Estimated coordinates: A position like [-3, 5] yields distance $\sqrt{34} \approx 5.83$ and angle $\arctan(-3/5) \approx -31^\circ$, which fits the bins.
* Facing: "right" (East).

The agent is at [0, 0] facing North.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 0], "facing": "north"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-3, 5], "facing": "east"}
}
```

THINK:
Based on the observation from position [0, 0] facing North:
1. **scooter**: Located "front-slight-right" (0° to 22.5°) at "mid distance" (2 to 4).
* Estimated coordinates: A position like [1, 3] yields distance $\sqrt{10} \approx 3.16$ and angle $\arctan(1/3) \approx 18.4^\circ$, which...

{
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "north"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      5
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "north"
  }
}

THINK:
Based on the observation:
1. **scooter**: Reported as "front-slight-right" (approx 15-20 degrees) and "mid distance" (approx 3 units). Relative to agent facing +y, this suggests coordinates around x=1, y=3. Facing "right" corresponds to +x in the local frame.
2. **teddybear**: Reported as "front-left" (approx -30 to -40 degrees) and "slightly far" (approx 5-6 units). Relative to agent, this suggests coordinates around x=-3, y=4. Facing "right" corresponds to +x.

FINAL ANSWER:
```json
{
"origin": "agent",
"objects": {
"scooter": {
"position": [1, 3],
"facing": "+x"
},
"teddybear": {
"position": [-3, 4],
"facing": "+x"
}
}
}
```

THINK:
Based on the observation:
1. **scooter**: Reported as "front-slight-right" (approx 15-20 degrees) and "mid distance" (approx 3 units). Relative to agent facing +y, this suggests coordinates around x=1, y=3. Facing "right" corresponds to +x in the local frame.
2. **teddybear**: Reported as "...

{
  "origin": "agent",
  "objects": {
    "scooter": {
      "position": [
        1,
        3
      ],
      "facing": "+x"
    },
    "teddybear": {
      "position": [
        -3,
        4
      ],
      "facing": "+x"
    }
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  }
}

{
  "origin": "agent",
  "objects": {
    "scooter": {
      "position": [
        1,
        3
      ],
      "facing": "+x"
    },
    "teddybear": {
      "position": [
        -3,
        4
      ],
      "facing": "+x"
    }
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  }
}

THINK: The agent is at the position marked `*` in the right-most room, facing North. The agent has just performed an `Observe()` action. Based on the 90° field of view (FOV) centered on North (covering roughly North-West to North-East), the area "above" the agent in the map has been observed.
- Candidate `B` is to the North-East and falls within the observed region.
- Candidate `C` is to the North-West and falls within the observed region.
- Candidate `D` is directly North and falls within the observed region.
- Candidate `F` is to the West (left) of the agent. Since the agent faces North, West is outside the 90° FOV. Thus, `F` is in an unobserved region.
- Candidate `A` is to the South-West. This is behind and to the left of the agent, outside the FOV. Thus, `A` is in an unobserved region.
- Candidate `E` is to the South. This is behind the agent, outside the FOV. Thus, `E` is in an unobserved region.

Therefore, the points in unexplored/unobserved regions are A, E, and F.

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

THINK: The agent is at the position marked `*` in the right-most room, facing North. The agent has just performed an `Observe()` action. Based on the 90° field of view (FOV) centered on North (covering roughly North-West to North-East), the area "above" the agent in the map has been observed.
- Cand...

###############
#......#......#
#......#....DB#
#......#...C..#
#......+.F..*.#
#......#..A.E.#
#......#......#
###########+###
######......###
######......###
######......###
######......###
######......###
######......###
###############

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

I have scanned the Northern sector of Room 1 and found a scooter and a teddy bear. I still need to find the doors ("red door", "brown door") connecting to Room 2 and Room 3, as well as other objects in Room 1. To do this, I need to continue scanning the current room. The most systematic approach is to rotate in place to cover the remaining sectors (East, South, West). Rotating 90 degrees clockwise will allow me to view the Eastern sector.

I have scanned the Northern sector of Room 1 and found a scooter and a teddy bear. I still need to find the doors ("red door", "brown door") connecting to Room 2 and Room 3, as well as other objects in Room 1. To do this, I need to continue scanning the current room. The most systematic approach is ...

THINK:
The agent started at [0,0] facing North.
In the first observation (facing North):
- Scooter was observed "front-slight-right" (approx 15° relative), "mid distance" (approx 3 units).
- Coordinates: x ≈ 3*sin(15°) ≈ 0.8 -> 1, y ≈ 3*cos(15°) ≈ 2.9 -> 3. Position: [1, 3].
- Facing "right" (East).
- Teddybear was observed "front-left" (approx -22.5° relative), "slightly far" (approx 5 units).
- Coordinates: x ≈ 5*sin(-22.5°) ≈ -1.9 -> -2, y ≈ 5*cos(-22.5°) ≈ 4.6 -> 5. Position: [-2, 5].
- Facing "right" (East).

In the second observation (facing East), nothing was seen.
Current state: Agent at [0,0] facing East.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 0], "facing": "east"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-2, 5], "facing": "east"}
}
```

THINK:
The agent started at [0,0] facing North.
In the first observation (facing North):
- Scooter was observed "front-slight-right" (approx 15° relative), "mid distance" (approx 3 units).
- Coordinates: x ≈ 3*sin(15°) ≈ 0.8 -> 1, y ≈ 3*cos(15°) ≈ 2.9 -> 3. Position: [1, 3].
- Facing "right" (Ea...

{
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "east"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      5
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "east"
  }
}

THINK:
I am currently at position (0,0) facing East (after rotating 90° clockwise from North). The latest observation returned "No objects in field of view." Therefore, my current local field of view contains no objects. The scooter and teddy bear observed in the previous step (facing North) are now outside my 90° field of view (which covers North-East to South-East relative to the global frame, or -45° to +45° relative to my current Eastward facing). The local cognitive map, which must represent only objects currently in the FOV relative to the agent, will be empty.

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

THINK:
I am currently at position (0,0) facing East (after rotating 90° clockwise from North). The latest observation returned "No objects in field of view." Therefore, my current local field of view contains no objects. The scooter and teddy bear observed in the previous step (facing North) are now...

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

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

THINK: [The agent is located at the position marked '*' facing East, having previously faced North. The observations made were facing North (observing the northern sector) and facing East (observing the eastern sector).
- Point A is located to the North of the agent. Since the agent has observed North, this area is explored.
- Point B is located to the North of the agent. This area is explored.
- Point E is located to the North-East of the agent. Both the North and East observations cover the North-East direction (boundary of FOV). Thus, E is likely observed/explored.
- Point C is located to the West of the agent. The agent has not faced West or South, so this area is unobserved.
- Point D is located to the West of the agent. This area is unobserved.
- Point F is located to the South-West of the agent. The agent has not observed South or West, so this area is unobserved.

Therefore, the points in unexplored regions are C, D, and F.]
FINAL ANSWER: {
"unexplored": ["C", "D", "F"]
}

THINK: [The agent is located at the position marked '*' facing East, having previously faced North. The observations made were facing North (observing the northern sector) and facing East (observing the eastern sector).
- Point A is located to the North of the agent. Since the agent has observed Nor...

###############
#......#....B.#
#......#....A.#
#......#.....E#
#......+CD..*.#
#......#......#
#......#.F....#
###########+###
######......###
######......###
######......###
######......###
######......###
######......###
###############

You rotated clockwise 90°. You observe: No objects in field of view..
You have a maximum of 18 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated clockwise 90°. You observe: No objects in field of view..
You have a maximum of 18 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I have scanned North and East. East was empty. I need to continue scanning Room 1. I will rotate another 90 degrees clockwise (facing South) to check that sector.

I have scanned North and East. East was empty. I need to continue scanning Room 1. I will rotate another 90 degrees clockwise (facing South) to check that sector....

THINK:
Based on my observations:
1. **Agent**: Currently at `[0, 0]`, facing `south` (after two 90-degree rotations from north).
2. **Scooter**: Observed facing North at "front-slight-right, mid distance". Estimating coordinates: x ≈ 1, y ≈ 3. Facing "east".
3. **Teddybear**: Observed facing North at "front-left, slightly far". Estimating coordinates: x ≈ -2, y ≈ 4. Facing "east".
4. **Plant**: Observed facing South at "front-left, mid distance" (Southeast). Estimating coordinates: x ≈ 2, y ≈ -3.
5. **Brown Door**: Observed facing South at "front-slight-right, mid distance" (South-Southwest). Estimating coordinates: x ≈ -1, y ≈ -3.

FINAL ANSWER:
```json
{
"agent": {"position": [0, 0], "facing": "south"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-2, 4], "facing": "east"},
"plant": {"position": [2, -3]},
"brown door": {"position": [-1, -3]}
}
```

THINK:
Based on my observations:
1. **Agent**: Currently at `[0, 0]`, facing `south` (after two 90-degree rotations from north).
2. **Scooter**: Observed facing North at "front-slight-right, mid distance". Estimating coordinates: x ≈ 1, y ≈ 3. Facing "east".
3. **Teddybear**: Observed facing Nort...

{
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "south"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      4
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -3
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "south"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "south"
  }
}

THINK:
The agent is currently facing South (having rotated 180 degrees from North total, via two 90 degree turns). The current observation reveals a plant and a brown door.
- Frame: Agent is origin (0,0), +y is South (Front), +x is West (Right).
- **Plant**: "front-left", "mid distance". Mid distance is (2,4]. Let's estimate d=3. "front-left" is [-45, -22.5). Let's estimate angle -34°. x ≈ 3*sin(-34°) ≈ -1.7, y ≈ 3*cos(-34°) ≈ 2.5. Rounded local: [-2, 3].
- **Brown door**: "front-slight-right", "mid distance", "on front wall". "front-slight-right" is (0, 22.5]. Estimate angle 11°. x ≈ 3*sin(11°) ≈ 0.6, y ≈ 3*cos(11°) ≈ 2.9. Rounded local: [1, 3].

FINAL ANSWER:
```json
{
"origin": "agent",
"objects": {
"plant": {"position": [-2, 3]},
"brown door": {"position": [1, 3]}
}
}
```

THINK:
The agent is currently facing South (having rotated 180 degrees from North total, via two 90 degree turns). The current observation reveals a plant and a brown door.
- Frame: Agent is origin (0,0), +y is South (Front), +x is West (Right).
- **Plant**: "front-left", "mid distance". Mid distanc...

{
  "origin": "agent",
  "objects": {
    "plant": {
      "position": [
        -2,
        3
      ]
    },
    "brown door": {
      "position": [
        1,
        3
      ]
    }
  }
}

{
  "plant": {
    "position": [
      -1,
      2
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      1,
      3
    ],
    "facing": "north"
  }
}

{
  "origin": "agent",
  "objects": {
    "plant": {
      "position": [
        -2,
        3
      ]
    },
    "brown door": {
      "position": [
        1,
        3
      ]
    }
  }
}

{
  "plant": {
    "position": [
      -1,
      2
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      1,
      3
    ],
    "facing": "north"
  }
}

THINK: [The agent is at position `*` and has observed North, East, and South. The West sector (relative to the agent) has not been observed. Based on the map layout and the agent's position:
- **A** is directly to the West of the agent. It falls squarely in the unobserved West sector.
- **F** is further to the West of the agent. It also falls in the unobserved West sector.
- **E** is to the South-West of the agent. Calculated angle places it outside the South FOV cone (which covers +/- 45° from South) and into the unobserved West sector.
- **B** is to the South/South-East and was covered by the South/East observations.
- **D** is to the North-East and was covered by the North/East observations.
- **C** is to the North-West. It lies on the diagonal boundary of the North FOV. Given the North observation covered "front-left" (which typically includes the diagonal), C is likely observed.
Therefore, the points in the unexplored regions are A, E, and F.]
FINAL ANSWER: [
{
"unexplored": ["A", "E", "F"]
}
]

THINK: [The agent is at position `*` and has observed North, East, and South. The West sector (relative to the agent) has not been observed. Based on the map layout and the agent's position:
- **A** is directly to the West of the agent. It falls squarely in the unobserved West sector.
- **F** is fur...

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

You rotated clockwise 90°. You observe:
• plant: front-left, mid distance
• brown door: front-slight-right, mid distance, on front wall.
You have a maximum of 17 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated clockwise 90°. You observe:
• plant: front-left, mid distance
• brown door: front-slight-right, mid distance, on front wall.
You have a maximum of 17 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I have scanned North, East, and South.
- North: scooter, teddybear.
- East: empty.
- South: plant, brown door.

I still need to scan the West sector of Room 1 to complete the survey of this room and locate the "red door" mentioned in the problem description (Room 1, 2, 3 exist; I've only found the brown door so far). I am currently facing South. Rotating 90 degrees clockwise will make me face West.

I have scanned North, East, and South.
- North: scooter, teddybear.
- East: empty.
- South: plant, brown door.

I still need to scan the West sector of Room 1 to complete the survey of this room and locate the "red door" mentioned in the problem description (Room 1, 2, 3 exist; I've only found the b...

THINK:
I have scanned the entire Room 1 (North, East, South, West).
From the observations:
- North: Scooter (NNE, Mid), Teddybear (NW, Slightly Far).
- East: Empty.
- South: Plant (SE, Mid), Brown Door (SW, Mid, on Front Wall i.e., South Wall).
- West: Truck (WNW, Mid), Teddybear (NW, Slightly Far), Red Door (West, Slightly Far, on Front Wall i.e., West Wall).

Reconciling the Teddybear position:
- North View (facing N): "front-left" -> Bearing -22.5° to -45°.
- West View (facing W): "front-right" -> Bearing +22.5° to +45°.
- The only overlap in absolute coordinates is exactly NW (45°).
- Distance is "slightly far" (4, 8]. Coordinates (-3, 3) give distance 4.24, which fits.

Reconciling the Truck position:
- West View: "front-slight-right" -> Bearing 0° to +22.5° relative to West.
- Distance "mid" (2, 4]. Coordinates (-3, 1) give distance 3.16 and angle ~18°, which fits.
- Proximity: Truck is "near" Teddybear (<= 2m). Distance between (-3, 1) and (-3, 3) is exactly 2.0m. This fits.

Other objects:
- Scooter: NNE, Mid. Est: (1, 3).
- Plant: SE, Mid. Est: (2, -3).
- Brown Door: SW, Mid. Est: (-1, -3).
- Red Door: West, Slightly Far. Est: (-5, 0).

I have a complete map of Room 1 and locations of two doors.
- Brown Door at (-1, -3) leads to Room 2 or 3.
- Red Door at (-5, 0) leads to Room 2 or 3.
I need to minimize steps. I am currently facing West. The Red Door is directly in front of me at (-5, 0). I should verify the Red Door and jump to it to explore the next room.
However, I have completed the requirements for the "Cognitive Map" for the current state observations.

Current plan:
1. Generate the JSON map.
2. Next actions: I will jump to the Red Door to peer into the adjacent room.

FINAL ANSWER:
{
"agent": {"position": [0, 0], "facing": "west"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-3, 3], "facing": "east"},
"plant": {"position": [2, -3]},
"brown door": {"position": [-1, -3]},
"truck": {"position": [-3, 1], "facing": "east"},
"red door": {"position": [-5, 0]}
}

THINK:
I have scanned the entire Room 1 (North, East, South, West).
From the observations:
- North: Scooter (NNE, Mid), Teddybear (NW, Slightly Far).
- East: Empty.
- South: Plant (SE, Mid), Brown Door (SW, Mid, on Front Wall i.e., South Wall).
- West: Truck (WNW, Mid), Teddybear (NW, Slightly Far),...

{
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "west"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -3
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "west"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      0,
      0
    ],
    "facing": "west"
  }
}

THINK: [The agent is currently facing West (global), which is the local +y axis. The observation reports a red door directly front (slightly far), a truck front-slight-right (mid distance), and a teddy bear front-right (slightly far). Based on the relative relationship "truck is west, near to teddybear" (where local 'north' is agent's facing), the truck is to the left (-x direction relative to the teddy bear) of the teddy bear. Since both are on the right side of the agent (angles > 0), the truck has a smaller x-coordinate than the teddy bear.
Estimated coordinates (relative to agent at 0,0):
- Red door: Front, slightly far (~5m). Position: [0, 5].
- Truck: Front-slight-right, mid distance (~3m). Position: [1, 3]. Facing backward (-y).
- Teddybear: Front-right, slightly far (~5m). Position: [3, 4]. Facing backward (-y).]
FINAL ANSWER: {"origin": "agent", "objects": {"truck": {"position": [1, 3], "facing": "-y"}, "teddybear": {"position": [3, 4], "facing": "-y"}, "red door": {"position": [0, 5], "facing": "-y"}}}

THINK: [The agent is currently facing West (global), which is the local +y axis. The observation reports a red door directly front (slightly far), a truck front-slight-right (mid distance), and a teddy bear front-right (slightly far). Based on the relative relationship "truck is west, near to teddyb...

{
  "origin": "agent",
  "objects": {
    "truck": {
      "position": [
        1,
        3
      ],
      "facing": "-y"
    },
    "teddybear": {
      "position": [
        3,
        4
      ],
      "facing": "-y"
    },
    "red door": {
      "position": [
        0,
        5
      ],
      "facing": "-y"
    }
  }
}

{
  "truck": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      0,
      5
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      3,
      3
    ],
    "facing": "east"
  }
}

{
  "origin": "agent",
  "objects": {
    "truck": {
      "position": [
        1,
        3
      ],
      "facing": "-y"
    },
    "teddybear": {
      "position": [
        3,
        4
      ],
      "facing": "-y"
    },
    "red door": {
      "position": [
        0,
        5
      ],
      "facing": "-y"
    }
  }
}

{
  "truck": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      0,
      5
    ],
    "facing": "east"
  }
}

You rotated clockwise 90°. You observe:
• truck: front-slight-right, mid distance, facing backward
• teddybear: front-right, slightly far, facing backward
• red door: front, slightly far, on front wall
Assume your current facing direction is called "north":
• truck is west, near to teddybear.
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 90°. You observe:
• truck: front-slight-right, mid distance, facing backward
• teddybear: front-right, slightly far, facing backward
• red door: front, slightly far, on front wall
Assume your current facing direction is called "north":
• truck is west, near to teddybear.
You h...

I have finished scanning Room 1 and located all objects and doors visible from the center. I found a "brown door" to the South and a "red door" to the West. I am currently facing West. I will proceed to explore the room behind the "red door" (let's assume it's Room 2). I will jump to the red door and observe. Since I am facing West and the door is on the "front wall" relative to my current view, facing West from the door should look into the new room.

I have finished scanning Room 1 and located all objects and doors visible from the center. I found a "brown door" to the South and a "red door" to the West. I am currently facing West. I will proceed to explore the room behind the "red door" (let's assume it's Room 2). I will jump to the red door an...

THINK: [The agent is currently at the red door (approximate coordinates (-6, 0) based on 'slightly far' distance to the West of origin), facing West.
From the origin (0,0):
- Scooter: North, mid-distance, slight right -> (1, 3)
- Teddybear: North, slightly far, left -> (-2, 5)
- Plant: South, mid-distance, left (East) -> (2, -3)
- Brown door: South, mid-distance, slight right -> (-1, -3)
- Truck: West, mid-distance, slight right (North) -> (-3, 1)
- Red door: West, slightly far -> (-6, 0)

From the red door (-6, 0) facing West:
- Airplane: front-right (North-West), slightly far -> (-10, 4)
- Laptop: front-left (South-West), mid-distance -> (-8, -2)
- Backpack: front-slight-right (West-North), slightly far -> (-12, 1)
]
FINAL ANSWER: {"agent": {"position": [-6, 0], "facing": "west"}, "scooter": {"position": [1, 3], "facing": "right"}, "teddybear": {"position": [-2, 5], "facing": "right"}, "plant": {"position": [2, -3]}, "brown door": {"position": [-1, -3]}, "truck": {"position": [-3, 1], "facing": "south"}, "red door": {"position": [-6, 0]}, "airplane": {"position": [-10, 4], "facing": "north"}, "laptop": {"position": [-8, -2], "facing": "north"}, "backpack": {"position": [-12, 1], "facing": "south"}}

THINK: [The agent is currently at the red door (approximate coordinates (-6, 0) based on 'slightly far' distance to the West of origin), facing West.
From the origin (0,0):
- Scooter: North, mid-distance, slight right -> (1, 3)
- Teddybear: North, slightly far, left -> (-2, 5)
- Plant: South, mid-di...

{
  "agent": {
    "position": [
      -6,
      0
    ],
    "facing": "west"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "right"
  },
  "teddybear": {
    "position": [
      -2,
      5
    ],
    "facing": "right"
  },
  "plant": {
    "position": [
      2,
      -3
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "south"
  },
  "red door": {
    "position": [
      -6,
      0
    ]
  },
  "airplane": {
    "position": [
      -10,
      4
    ],
    "facing": "north"
  },
  "laptop": {
    "position": [
      -8,
      -2
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -12,
      1
    ],
    "facing": "south"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -5,
      0
    ],
    "facing": "west"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -5,
      0
    ],
    "facing": "west"
  }
}

THINK:
I am at the `red door` facing West (since my previous orientation was West and I haven't rotated).
The observation says:
- `airplane`: front-right, slightly far, facing forward.
- `laptop`: front-left, mid distance, facing right.
- `backpack`: front-slight-right, slightly far, facing backward.

Relative to my current agent-centric frame (Forward = +y, Right = +x):
- `airplane`: Front-Right means +x, +y quadrant. "Slightly far" suggests distance > 4. Let's approximate. "Facing forward" relative to me means facing +y.
- `laptop`: Front-Left means -x, +y quadrant. "Mid distance" suggests distance ~3-4. "Facing right" relative to me means facing +x.
- `backpack`: Front-Slight-Right means +x (small x), +y (large y). "Slightly far". "Facing backward" relative to me means facing -y.

Let's assign coordinates based on bins:
Mid distance (2, 4]: Let's use ~3.
Slightly far (4, 8]: Let's use ~5-6.

Laptop: Front-left, mid distance. Say (-2, 2). Facing right (+x).
Airplane: Front-right, slightly far. Say (4, 4). Facing forward (+y).
Backpack: Front-slight-right, slightly far. Say (2, 5). Facing backward (-y).

The prompt asks for a **Local Cognitive Map** relative to the agent's current position and facing.

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"airplane": {"position": [4, 4], "facing": "+y"},
"laptop": {"position": [-2, 2], "facing": "+x"},
"backpack": {"position": [2, 5], "facing": "-y"}
}
}

THINK:
I am at the `red door` facing West (since my previous orientation was West and I haven't rotated).
The observation says:
- `airplane`: front-right, slightly far, facing forward.
- `laptop`: front-left, mid distance, facing right.
- `backpack`: front-slight-right, slightly far, facing backward...

{
  "origin": "agent",
  "objects": {
    "airplane": {
      "position": [
        4,
        4
      ],
      "facing": "+y"
    },
    "laptop": {
      "position": [
        -2,
        2
      ],
      "facing": "+x"
    },
    "backpack": {
      "position": [
        2,
        5
      ],
      "facing": "-y"
    }
  }
}

{
  "backpack": {
    "position": [
      1,
      6
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -1,
      2
    ],
    "facing": "north"
  },
  "airplane": {
    "position": [
      3,
      6
    ],
    "facing": "west"
  }
}

{
  "origin": "agent",
  "objects": {
    "airplane": {
      "position": [
        4,
        4
      ],
      "facing": "+y"
    },
    "laptop": {
      "position": [
        -2,
        2
      ],
      "facing": "+x"
    },
    "backpack": {
      "position": [
        2,
        5
      ],
      "facing": "-y"
    }
  }
}

{
  "backpack": {
    "position": [
      1,
      6
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -1,
      2
    ],
    "facing": "north"
  },
  "airplane": {
    "position": [
      3,
      6
    ],
    "facing": "west"
  }
}

THINK: [The agent is located at the red door, facing West (from previous actions: Rotate to West, then JumpTo red door). The agent performed an Observe() action. The FOV is 90 degrees, facing West into Room 2. The observation revealed objects (airplane, backpack) at "slightly far" distances and (laptop) at "mid distance". "Slightly far" corresponds to 4-8 units. The ASCII map shows Room 2 (Left of the agent) is roughly 6-7 units wide and tall. The candidates A, C, E, F, B, D are all located within Room 2.
- E is directly West.
- A, C, F are in the North-West sector.
- B, D are in the South-West sector.
Given the 90-degree FOV facing West, all these sectors (NW, W, SW) are within the field of view. The distances are also within the observed range. Therefore, the region containing points A-F has been observed. Room 1 (Right) was observed in previous turns. Room 3 (Bottom, below brown door) has not been observed, but the map snippet does not show any candidate labels (A-Z) in that region. Thus, all visible candidate labels A-F are in observed regions.]
FINAL ANSWER:
```json
{
"unexplored": []
}
```

THINK: [The agent is located at the red door, facing West (from previous actions: Rotate to West, then JumpTo red door). The agent performed an Observe() action. The FOV is 90 degrees, facing West into Room 2. The observation revealed objects (airplane, backpack) at "slightly far" distances and (lap...

###############
#.....F#......#
#....AC#......#
#....E.#......#
#......*......#
#......#......#
#...B.D#......#
###########+###
######......###
######......###
######......###
######......###
######......###
######......###
###############

You jumped to red door. You observe:
• airplane: front-right, slightly far, facing forward
• laptop: front-left, mid distance, facing right
• backpack: front-slight-right, slightly far, facing backward
Assume your current facing direction is called "north":
• airplane is east, near to backpack.
You have a maximum of 15 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to red door. You observe:
• airplane: front-right, slightly far, facing forward
• laptop: front-left, mid distance, facing right
• backpack: front-slight-right, slightly far, facing backward
Assume your current facing direction is called "north":
• airplane is east, near to backpack.
You...

I am at the red door, facing West into the new room (Room 2). I see an airplane, a laptop, and a backpack. This view covers the "front" (West) sector of Room 2 from the door. I need to see the rest of Room 2. Standing at the door allows me to see into the room, but the FOV is 90 degrees. To see the corners of Room 2 near the door wall (North and South relative to the door's inward facing direction), or objects deeper in, I might need to enter the room or rotate.
However, usually standing at the door allows seeing a good portion. I have seen "front-right" and "front-left".
The instructions say: "When located in a doorway... you can see into both connected rooms." and "Observe action only reports from your current position and facing direction."
I am facing West. I have seen the West part of Room 2. I need to check the other directions inside Room 2.
To explore Room 2 fully, I should probably move to a central object in Room 2 or rotate at the door to see more. However, rotating at the door might just show me the wall or back into Room 1.
Moving to an object inside Room 2 seems better to establish a new vantage point. The 'backpack' is 'front-slight-right' and 'slightly far'. 'laptop' is 'front-left'.
Let's jump to the 'backpack' to get inside Room 2 and look around. The backpack is likely central enough or provides a new view.
Wait, I need to map Room 3 as well. I found the 'brown door' in Room 1. I haven't explored that yet. But I should finish Room 2 first to minimize back-and-forth.
I'll jump to the 'backpack' (which I just saw) and then Rotate to scan Room 2. Since I am facing West at the door, and the backpack is front-right (North-West ish), jumping to it and then observing will give me a view from inside.
Let's jump to 'backpack'.

I am at the red door, facing West into the new room (Room 2). I see an airplane, a laptop, and a backpack. This view covers the "front" (West) sector of Room 2 from the door. I need to see the rest of Room 2. Standing at the door allows me to see into the room, but the FOV is 90 degrees. To see the ...

THINK:
The agent has explored Room 1 and entered Room 2 via the red door.
Room 1 contained: scooter (approx 1, 3), teddybear (approx -2, 4), plant (approx 2, -2), truck (approx -3, 1), brown door (approx -1, -3), red door (approx -5, 0).
Room 2 (entered via red door at -5,0, facing West) contains: airplane (approx -8, 4), laptop (approx -7, -2), backpack (approx -10, 2).
The agent then jumped to the backpack at (-10, 2) and observed nothing facing West, suggesting the view is blocked or empty in that direction. The agent is currently located at the backpack.

FINAL ANSWER:
```json
{
"agent": {"position": [-10, 2], "facing": "west"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-2, 4], "facing": "east"},
"plant": {"position": [2, -2]},
"truck": {"position": [-3, 1], "facing": "south"},
"brown door": {"position": [-1, -3]},
"red door": {"position": [-5, 0]},
"airplane": {"position": [-8, 4], "facing": "north"},
"laptop": {"position": [-7, -2], "facing": "north"},
"backpack": {"position": [-10, 2], "facing": "east"}
}
```

THINK:
The agent has explored Room 1 and entered Room 2 via the red door.
Room 1 contained: scooter (approx 1, 3), teddybear (approx -2, 4), plant (approx 2, -2), truck (approx -3, 1), brown door (approx -1, -3), red door (approx -5, 0).
Room 2 (entered via red door at -5,0, facing West) contains: a...

{
  "agent": {
    "position": [
      -10,
      2
    ],
    "facing": "west"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      4
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "south"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "airplane": {
    "position": [
      -8,
      4
    ],
    "facing": "north"
  },
  "laptop": {
    "position": [
      -7,
      -2
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -10,
      2
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "west"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "west"
  }
}

THINK:
I am at the `backpack`. My previous action was `JumpTo(backpack)`. The `JumpTo` command description says "Your orientation does NOT change." I was facing West at the red door. So I am facing West now at the backpack.
I just performed `Observe()` and saw "No objects in field of view."
This means the area in front of me (West of the backpack) is empty or contains no observable objects within range.
Since I see nothing, the `objects` dictionary will be empty.
The coordinate system is local to the agent. +y is forward (West), +x is right (North).
Since the observation is empty, the JSON is simple.

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

THINK:
I am at the `backpack`. My previous action was `JumpTo(backpack)`. The `JumpTo` command description says "Your orientation does NOT change." I was facing West at the red door. So I am facing West now at the backpack.
I just performed `Observe()` and saw "No objects in field of view."
This mea...

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

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

THINK:
I am currently at the backpack in Room 2 (the left room). I jumped from the red door (which connects Room 1 and Room 2).
Room 1 is the starting room (right side). Room 2 is the one I am in now (left side).
I was at (0,0) in Room 1. I scanned N, E, S, W.
North: scooter, teddybear.
East: Empty.
South: brown door, plant.
West: red door, truck (near red door), teddybear.
I jumped to the red door (West). Facing West.
I saw airplane, laptop, backpack inside Room 2.
I jumped to the backpack. I observed and saw "No objects". My orientation didn't change, so I am facing West.
Looking at the map provided:
Room 2 is the left enclosure. Room 1 is the top-right enclosure (where 'A' is near the red door '+'). Wait, let's align the map.
The map shows two main rooms at the top left/right and maybe a bottom one.
My path:
Start (0,0) in Room 1.
Found brown door (South). Found red door (West).
Jumped to red door. Facing West into Room 2.
Jumped to backpack. Facing West.
Map interpretation:
The agent '*' is in the left room (Room 2).
The red door is likely the '+' connecting the left and right rooms.
The right room is Room 1.
The bottom room is Room 3 (connected by brown door, likely the '+' at the bottom of Room 1).
Let's look at the candidate points in Room 2 (left room).
I am at '*' (backpack). I am facing West (Left). I observe nothing. This means the area to my West is empty or wall.
I have observed the area between the red door and the backpack (East of me).
I saw airplane (front-right from door -> North-West) and laptop (front-left from door -> South-West).
I am at backpack (which was front-right/North-West from door).
So airplane should be near me. Laptop is to the South.
The points:
A: Inside Room 1, near the red door. I observed this area from (0,0) facing West. It's observed.
B: In Room 2, South of me. Near where 'laptop' likely is. I observed this generally from the door, but maybe not the specific floor tiles if they are far. However, 'laptop' was 'mid distance' from the door. B looks to be in that area.
C: In Room 1, top left corner.
D: In Room 2, top right corner (North of door).
E: In Room 2, top left corner (North-West).
F: In Room 1, bottom left corner near the wall shared with Room 2.

"Select the points that are located in unexplored/unobserved regions."
Unobserved means I haven't seen that specific grid location or it's unknown.
From (0,0) in Room 1:
- N: Saw scooter.
- E: Saw nothing.
- S: Saw brown door.
- W: Saw red door, truck.
I have covered most of Room 1 central area.
Point C (Room 1 top left): When facing North from (0,0), FOV is triangular. When facing West, FOV is triangular. (0,0) is likely center. Top-left corner might be missed by N and W scans if it's far in the corner. But usually adjacent quadrants cover corners. Let's assume Room 1 is mostly observed.
Now Room 2.
I stood at the red door (looking West).
Saw airplane (Right/North), backpack (Right/North), laptop (Left/South).
I jumped to backpack (*).
I faced West and saw nothing.
Areas BEHIND me (East) in Room 2 are observed from the door.
Areas to my North and South in Room 2 from the backpack position?
If I face West at '*', I see West.
I haven't looked North or South from inside Room 2 yet.
However, I saw the "front-right" (North-West) and "front-left" (South-West) from the door.
The backpack was "slightly far".
Point E is North-West of the door. I am at the backpack. E is further West/North. If I face West and see nothing, maybe E is empty or walls. But E is a candidate point, implying it's a floor tile. If I see "No objects", it implies I see the floor and it's empty, OR I see the wall immediately.
But "unexplored" usually refers to areas not covered by any FOV cone.
The region North of the backpack (D) and West of backpack (E).
From the door, I saw airplane and backpack to the "front-right". This covers the vector, but not necessarily the corners if they are wide.
Point B is South. I saw laptop "front-left".
Point D is North-East of backpack? No, D is near the wall between rooms.
Point E is deep West.
Since I am at '*' and faced West and saw nothing, I have observed the corridor/area directly West of me. E seems to be in that direction.
However, usually "unexplored" in these tasks implies areas not yet covered by the vision cones.
Points A, C, F are in Room 1. I did 4 rotations in Room 1. Room 1 should be fully observed unless occlusions or very large room.
Points B, D, E are in Room 2.
I have only looked West from the door, and West from the backpack.
I have NOT looked North or South or East from inside Room 2.
From the door (looking West):
- I see a cone covering West.
- I don't see the corners D (immediate right of door wall) or the deep corners if the room is wide.
From backpack (looking West):
- I see West.
So, areas to the North (D?) and South (B?) of my current position '*' inside Room 2 might be unobserved from the *current* vantage point, but were they observed from the door?
From door: Backpack was front-slight-right (North-ish). Laptop was front-left (South-ish).
B is near the laptop area. Likely observed.
D is near the top right wall of Room 2. This is "Right" from the door (90 deg). My FOV is 90 deg (centrally +/- 45). So I cannot see directly Right (90 deg) or Left (-90 deg) from the door.
So the corners along the wall containing the door (like D) are likely unobserved.
Similarly for the corner South of the door (below the door in the map).
Point E is far West. If I am at '*' and look West and see nothing, I have observed it (it's empty).
Point C in Room 1: Top left. From (0,0) facing North (0 deg) covers [-45, 45]. Facing West (90 deg left? No, West is usually 90 or -90) covers the West cone. The diagonal (North-West) is the boundary. Often corners are missed.
However, I've done a full 360 at (0,0). The 4 cardinal FOVs cover the whole plane except for gaps if the distance is large (cone widens, but close to origin is covered). Actually, 4 cones of 90 degrees cover 360 degrees perfectly. So Room 1 (A, C, F) should be fully observed.
So focus on Room 2.
I have looked West.
I have NOT looked North, South, East.
D is to the East/North-East of me.
B is to the South.
From the door, I looked West. The +/- 45 deg cone misses the corners on the door wall.
D is on the door wall side. So D is likely unobserved.
B is 'below' the backpack. From door, laptop was front-left. That covers the South-West vector. B is likely in that cone.
So D is the strongest candidate.
What about E? I am at '*' and look West. If E is in my FOV, it's observed.
So my best guess for unobserved is D (corner near door).
Let's check the map again.
A is in Room 1.
C is in Room 1.
F is in Room 1.
I did a 360 scan in Room 1. They are observed.
B, D, E in Room 2.
I looked West from door. I looked West from '*'.
The area "East" of '*' (back towards door) is observed from the door.
The area "North" of '*' (D direction? No, D is East-ish).
Wait, on the map:
Room 2 is left. Door '+' is on the right wall of Room 2.
Agent '*' is to the left of '+'.
D is North of the '+'. It is in the top-right corner of Room 2.
From the '+', facing West, the FOV is [-45, +45] relative to West.
North is +90 relative to West (Right).
So D is outside the FOV from the door (it's > 45 degrees).
So D is unobserved.
What about B? B is South-West of '+'.
From '+', facing West, South-West is within [-45, 0] relative to West?
West is 270 deg (or 90 left). South is 180. South-West is 225.
If I face West (270), my FOV is [225, 315].
So South-West (225) is on the edge.
However, the laptop was "front-left" (which is -22.5 to -45). That means I saw objects in that direction.
So B is likely observed or at least the area was scanned.
What about E? E is North-West corner.
From '+', facing West (270). North-West is 315.
315 is on the edge of [225, 315].
Backpack was "front-slight-right". Airplane was "front-right".
"front-right" is [22.5, 45] relative to facing.
So I saw the North-West area.
Now I am at '*' (backpack).
I faced West. E is North-West of me?
Map: E is top-left. '*' is mid-left.
So E is North-West of '*'.
I faced West. My FOV covers West. It does not cover North-West strongly if E is high up.
But I saw "No objects".
The main unobserved area is definitely the corners on the wall I entered from (blind spots of the door view) which I haven't looked back at.
D is exactly in that blind spot (top right of Room 2).
So D is unobserved.
What about C, A, F? I rotated 360 in Room 1. They are observed.
So only D (and maybe others in Room 2).
Let's look at B again. B is South-West of start, South of '*'.
From door, I saw laptop at front-left.
Usually "front-left" means the object is visible.
So B is likely observed.
Is there any part of Room 1 unobserved?
If I am at (0,0) and observe N, E, S, W.
If (0,0) is in the middle, I cover everything.
So A, C, F are observed.
Conclusion: D is the most likely unobserved point.

Wait, let's re-read the map carefully.
A is in the room on the right (Room 1).
C is top right of Room 1? No, C is top of the wall dividing Room 1 and 2? No, C is inside Room 1 (top-left of Room 1).
D is inside Room 2 (top-right of Room 2).
E is inside Room 2 (top-left of Room 2).
B is inside Room 2 (mid-left, below '*').
F is inside Room 1 (bottom-left).

In Room 1, I did 4 observations (N, E, S, W).
Assuming I am somewhat central (scooter N, brown door S, red door W), the 4 cones cover the room.
So A, C, F are observed.

In Room 2:
I looked West from the door ('+'). FOV [West-45, West+45].
This covers the cone pointing West.
It misses the sectors [North, East] and [South, East] relative to the door? No.
Facing West, I miss North and South and East.
Specifically, I miss the corners on the East wall of Room 2 (the wall with the door).
D is in the North-East corner of Room 2.
So D is unobserved.
B is in the South-West part? Map shows B is West of the door, South of '*'.
I looked West from door. B is likely in the "front-left" sector. Laptop was there. So B is likely observed.
E is in the North-West part. Map shows E is West of D, North of '*'.
From door, I saw backpack/airplane in "front-right". This covers North-West.
So E is likely observed or partially observed.
However, I am now at '*' (backpack) and looked West.
D is definitely unobserved (behind me and to the side).
What about B? I looked West from door. I saw laptop.
If B is unobserved, it implies I need to look South from inside Room 2.
But usually, the "Fog Probe" asks for points in regions *not yet covered by any valid Observe action*.
My Observe at the door covered the cone W.
My Observe at '*' covered the cone W (again).
The cone W from the door covers the central corridor and the NW/SW diagonals.
D (NE corner of Room 2) is NOT covered.
Is B (SW area) covered? Yes, by the door observation (front-left).
Is E (NW area) covered? Yes, by the door observation (front-right).

So the answer should be D.
Let's double check if any Room 1 points are tricky.
C is top-left of Room 1.
I was at (0,0). Where is (0,0)?
"scooter: front-slight-right". "teddybear: front-left". (Facing North).
"brown door: front-slight-right... on front wall" (Facing South).
"red door: front... on front wall" (Facing West).
This implies I am central.
Distance to red door is "slightly far" (4-8m).
Distance to brown door is "mid distance" (2-4m).
Room 1 is likely fully covered by 4 observations.

So I will select D.
Is there any other?
Maybe E? E is the top-left corner.
From door (at East wall), looking West.
Distance to E might be far. "airplane" was "slightly far".
If E is "very far" or occluded, it might be unobserved.
But D is geometrically in the blind spot of the single view from the door.

Let's verify B. B is shown South of '*'.
My view from door covered the cone towards B.
So B is observed.

Wait, looking at the ASCII map again.
The map has columns and rows.
Room 2 (left) width:
#E..D.C#
#.....A#
#*.....#
#.B....+
Column of *: Let's say col 2.
Column of +: Let's say col 7.
Row of *: Let's say row 4.
Row of +: row 4.
D is at col 4, row 2 (higher is lower index?). No, usually Y points up.
The map says "North is Up".
So row of D is higher than row of *.
D is (col ~4, row ~high).
+ is (col ~7, row ~mid).
From +, facing West (Left).
FOV is cone opening to the left.
D is "Up" (North) and "Left" (West) from +.
Angle from + to D: North-West.
North-West is 45 degrees from West.
This is on the edge of the FOV.
If D is strictly North of the line y=y_door, and West of x=x_door.
Angle = atan(dy/dx).
If dy > dx, angle > 45 deg from West axis. It would be "Right" side of the view?
Wait. West is forward. North is Right.
So North-West is Front-Right.
If angle is exactly 45 deg, it's on the edge.
If D is more North than West (dy > dx), it is > 45 deg. It becomes "Right" (outside FOV).
In the map:
Horizontal dist from + to D's column: ~3 chars.
Vertical dist from + to D's row: ~2 chars.
So dx > dy.
Angle < 45.
So D is likely Inside the FOV (Front-Right).
Wait, D is marked as C# neighbor? No.
Let's count.
Lines:
1: #E..D.C#...
2: #.....A#...
3: #*.....#...
4: #.B....+...
+: (col 7, row 4).
D: (col 4, row 1).
dx = 3. dy = 3.
Angle ~ 45 deg.
So D is on the boundary.
What about C?
C is (col 6, row 1). Inside Room 2?
The wall is at col 7?
The map shows: #E..D.C#
Is the # between C and ...?
Actually the # is at col 7.
So C is col 6.
Room 1 starts at col 8?
No, the door + is at col 7.
So C is inside Room 2?
Wait. "Room 1... Room 2... Room 3".
I started in Room 1.
Found red door (West).
Jumped to red door. Facing West.
Saw Room 2.
So Room 2 is to the West of Room 1.
The map shows the left box (Room 2) and right box (Room 1).
The wall is the vertical line of # and +.
C is to the LEFT of the wall #.
So C is in Room 2.
A is to the RIGHT of the wall #.
So A is in Room 1.
Okay.
My scan of Room 1 (Right Room) covered A.
Now Room 2 (Left Room).
Candidates in Room 2: B, C, D, E.
My observation from + (facing West):
C is at (6, 1). + is at (7, 4).
dx = 1 (West). dy = 3 (North).
Angle: mostly North.
Bearing from West: atan(3/1) = 71 degrees.
My FOV is +/- 45 degrees.
71 > 45.
So C is OUTSIDE FOV. (It is to the Right).
D is at (4, 1).
dx = 3. dy = 3.
Angle = 45 degrees.
Edge case.
E is at (1, 1).
dx = 6. dy = 3.
Angle = atan(0.5) = 26 deg.
Inside FOV.
B is at (2, 4).
dx = 5. dy = 0.
Directly Front. Inside FOV.
Wait, B is on row 4 in my count?
Map:
3: #*.....#
4: #.B....+
B is on row 4? Or row 5?
B looks like row 5.
dy = -1 (South).
Inside FOV.

So C is definitely unobserved.
D is borderline, but 45 deg is usually "front-right" (22.5 to 45).
"Front-right" bin is (22.5, 45].
If it is > 45, it is "Right" (beyond FOV).
If D is exactly 45, it might be visible.
However, C is definitely hidden.
Is D hidden? 45 degrees. Usually 45 is the limit.
Given C is "more hidden", C is a strong candidate.
What about A? A is in Room 1. I did 360 scan. Observed.
What about F? F is in Room 2?
Map:
6: #.....F#
F is in the left room (Room 2), bottom right corner.
From + (facing West):
F is South and slightly West?
+ is at (7, 4).
F is at (6, 6). (Assuming row 6 is bottom).
dx = 1 (West). dy = -2 (South).
Angle = atan(2/1) = 63 deg.
> 45 deg.
So F is OUTSIDE FOV (to the Left).
So F is unobserved.

So Unobserved points in Room 2: C (top right corner), F (bottom right corner).
D (top mid) is borderline.
Let's check A again. A is (6, 2) in Room 1?
No, the wall is col 7.
A is col 6? No, A is visually to the right of the wall line in the "Right" room?
Map:
#E..D.C#......#
#.....A#......#
The # after C is the wall.
So C is in Left Room.
A is in Left Room??
"C#" - C is next to wall.
"A#" - A is next to wall.
Wait.
If the wall is the # column.
Left room: columns 1-6.
Right room: columns 8-14.
Door + at col 7.
Map shows:
Row 1: # E . . D . C # . . . . . . #
C is col 7? No.
Let's trace the wall.
Column 8 is the wall #.
Then C is col 7.
D is col 4.
E is col 2.
A is col 7 (next to wall).
Wait, A is in the same column as C?
Row 2: # . . . . . A #
If the wall is at col 8.
Then A and C are in Room 2 (Left Room).
This contradicts my earlier thought that A is in Room 1.
Let's check the start position.
"You current (initial) position is in room 1... face north."
"Objects: scooter..."
"Found red door... Jumped to red door... facing West... into Room 2."
So I am now in Room 2.
The map shows '*' in the left room.
So Room 2 is the left room.
Room 1 is the right room.
Are A, C in Room 2?
Visually:
#E..D.C#
This looks like C is inside the left box.
So C is in Room 2.
Is A in Room 2?
#.....A#
Yes, A is in Room 2.
Is F in Room 2?
#.....F#
Yes, F is in Room 2.
So A, B, C, D, E, F are ALL in Room 2?
Let's check the Right Room (Room 1).
The map shows "......" in the right part. No letters.
So ALL candidate points are in Room 2.
This simplifies things.
I have only observed Room 2 from the door (facing West) and from '*' (facing West).
Door position: '+' (East wall of Room 2).
Agent position: '*' (West part of Room 2).
My observations:
1. From '+' facing West. FOV: Cone opening West.
- Covers central strip.
- Misses corners on the East wall (North-East and South-East relative to room).
- "North" is Right of facing West. "South" is Left.
- So I miss the Right (North) and Left (South) sectors near the door.
- C is in the North-East corner (near wall). Unobserved.
- A is in the North-East? Or just East?
- A is at row 2. + is row 4. A is North of +.
- A is next to wall.
- dx=0 (same wall). dy=2.
- Angle = 90 deg. Definitely Unobserved.
- F is in South-East corner (near wall).
- F is at row 6. + is row 4. F is South of +.
- Angle = 90 deg. Definitely Unobserved.
- D is top-mid.
- dx=3, dy=3. Angle=45. Borderline. Maybe unobserved.
- E is top-left.
- dx=6, dy=3. Angle=26. Observed.
- B is mid-left-south.
- dx=5, dy=0 or 1. Observed.

2. From '*' facing West. FOV: Cone opening West.
- I am at row 3 or 4.
- Viewing West.
- Anything East of me (A, C, D, F, +) is BEHIND me. Unobserved from this position.
- Anything West of me (E) is in front. Observed.

So, combining both:
- E: Observed from door.
- B: Observed from door.
- A, C, F: Not observed from door (angle too steep). Not observed from '*' (behind).
- D: Borderline from door. Not observed from '*' (behind).

Let's refine A, C, F.
A is (dx=1?, dy=2). If A is not on the wall but adjacent.
From + (facing West):
A is "Right" (North). Outside FOV.
C is "Right" (North). Outside FOV.
F is "Left" (South). Outside FOV.
D is "Front-Right". Borderline.
Given the strict grid usually implies centers, (4,1) relative to (7,4). Vector (-3, 3).
Bearing +135 deg (North-West).
Agent facing West (180 deg? No, usually West is +90 or -90. Problem says N=0, W=-90).
Facing -90.
Target bearing 135? No.
Vector from (7,4) to (4,1) is (-3, -3) in image coordinates?
Map convention: "North is Up".
(0,0) is bottom-left.
+ is at (x, y).
D is at (x-3, y+3).
Vector (-3, 3).
Facing West (-1, 0).
Angle between (-1,0) and (-3,3).
Dot product: 3.
Lengths: 1, sqrt(18)=4.24.
Cos theta = 3 / 4.24 = 0.707.
Theta = 45 degrees.
So D is exactly on the edge of the FOV.
Usually "Front-Right" includes 45 deg?
"Bins: (22.5, 45] -> front-right".
So 45 is INCLUDED.
So D is Observed.

So A, C, F are the unobserved ones.
Let's verify A.
A is at (x-1, y+2)?
Map:
#.....A#
#......#
#.B....+
A is one row up from the empty row above +.
+ is row 4. Empty is row 3. A is row 2.
A is col 6. + is col 7.
Vector (-1, 2).
Facing West (-1, 0).
Angle: atan(2/1) = 63 deg.
> 45 deg.
So A is Unobserved.

Verify C.
C is row 1.
Vector (-1, 3).
Angle atan(3) = 71 deg.
Unobserved.

Verify F.
F is row 6.
Vector (-1, -2).
Angle atan(2) = 63 deg.
Unobserved.

So Unobserved: A, C, F.

Wait, check B again.
B is row 4 (same as +? No, + is on the line below *?).
Map:
3: #*.....#
4: #.B....+
If + is row 4.
B is row 4.
Vector (-5, 0).
Angle 0. Observed.

So answer: A, C, F.
Let's double check if A, C, F are indeed unobserved.
They are in the "corners" near the entry wall.
Standard problem in these grid tasks: when entering a room, you miss the corners on the entry wall.
You need to rotate or move in and turn to see them.
I have only looked West.
So A, C, F are definitely unobserved.
Is D unobserved?
D was 45 degrees.
If the agent reports "front-right", it sees it.
From the observation at the red door:
"airplane: front-right... facing forward"
"backpack: front-slight-right... facing backward"
"laptop: front-left..."
It did NOT report D (whatever object might be there, or empty).
It reported airplane and backpack.
Backpack was front-slight-right.
Airplane was front-right.
Maybe D is the airplane?
If D is the airplane, it is observed.
Airplane is "slightly far" (4-8m).
D is distance sqrt(18) = 4.24m. Matches "slightly far".
So D is likely the airplane.
A, C, F were not reported. (No objects reported in those steep angles).
If they are empty floor, they are still "unobserved" in the sense that the agent hasn't confirmed their status (could be objects there).
Usually "unexplored" means "grid cells not covered by FOV".
Since A, C, F are outside FOV, they are unexplored.

One detail: "Observe() Report objects... in your FOV."
"FOV is 90 deg".
So strictly A, C, F are outside.

Final check on 'A'.
In the map, A is listed as a candidate.
If A is in Room 1 (Right Room), I observed it.
But map visual places A in the Left Room (Room 2).
Why?
The wall is '#' column.
Left of # is Room 2. Right is Room 1.
A is at column 6 (if + is 7).
So A is in Room 2.
My logic holds.

Wait, looking at map again.
Row containing A: #.....A#
Row containing +: #.B....+
If the # at the end is the same wall.
Then A is adjacent to the wall.
So A, C, F are the ones.

What about D?
D is (4,1) from (7,4). Angle 45.
Is 45 inside or outside?
Usually boundary is inclusive.
The bin (22.5, 45] is "front-right".
The bin beyond is "beyond-fov".
So 45 is inside.
So D is observed.

So, A, C, F.

Wait, F is in the bottom part.
Map:
#.....F#
######.+ (wait, where is +?)
The map snippet:
#.....F#......#
###########+###
Wait, the wall line continues.
The + is further down?
No, the map has multiple +?
"Doors: red door, brown door".
Red door connects 1 and 2. Brown connects 1 and 3?
Or 1-2 and 2-3?
"Room 1, 2, 3... connected by doors".
If I am in Room 2 (Left), and Room 1 is Right.
And there is a bottom room?
Let's look at the bottom of the map.
###########+###
This + is on the horizontal wall.
This connects the Right Room (Room 1) to a Bottom Room (Room 3?).
Or Left Room to Bottom?
The wall with + is under the Right Room columns.
So Room 1 connects to Room 3.
The brown door was "South" in Room 1. Matches.
So F is in Room 2 (Left Room) bottom corner?
No, look at the row with F.
#.....F#......#
The wall # is at col 8.
F is at col 7?
Adjacent to wall.
So F is in Room 2.
Is there a door to Room 3 from Room 2?
The map shows solid wall at bottom of Room 2.
######......###
So Room 2 is a dead end?
Only connected to Room 1.
This matches my findings so far (only red door).

So, F is in Room 2, bottom-right corner.
Coordinates relative to red door (+):
+ is at (7, 4).
F is at (6, 6).
Vector (-1, -2). Angle 63. Outside FOV.
So F is unobserved.

So Unobserved: A, C, F.

Are there any others?
"E..D.C".
E is (1,1). Angle 26. Observed.
B is (2,4). Angle 0. Observed.

Wait, check the "fog" definition.
"Select the points that are located in unexplored/unobserved regions."
"Unobserved" means not covered by the cone.
A, C, F are not covered.
D is covered (borderline).
So {A, C, F}.

One query: is D "unexplored"?
If D is observed, it is explored.
However, I jumped to "backpack" which was "front-slight-right".
If backpack is at D?
Distance to backpack "slightly far".
D is 4.24m. Matches.
"front-slight-right" is (0, 22.5].
D is 45 degrees. "front-right".
Airplane was "front-right".
So D is likely the Airplane.
Backpack must be somewhere else.
Backpack "front-slight-right".
Maybe (5, 2)?
Vector (-2, 2). Angle 45.
Vector (-3, 2). Angle 33. (Front-Right).
Vector (-4, 2). Angle 26. (Front-Right).
Vector (-5, 1)?
Anyway, D corresponds to "front-right" (airplane).
So D is observed.

So stick with A, C, F.

Final check:
Is A really in Room 2?
#.....A#
Yes, to the left of the wall.
Is C in Room 2?
Yes.
Is F in Room 2?
Yes.
Are they observed?
No, they are in the blind corners of the door entry.
And I haven't turned to see them.
I only looked West.
So correct.

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

THINK:
I am currently at the backpack in Room 2 (the left room). I jumped from the red door (which connects Room 1 and Room 2).
Room 1 is the starting room (right side). Room 2 is the one I am in now (left side).
I was at (0,0) in Room 1. I scanned N, E, S, W.
North: scooter, teddybear.
East: Empty....

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

You jumped to backpack. 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: [ ... ]

You jumped to backpack. 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: [ ... ]...

I jumped to the backpack and observed nothing in my current FOV. Since I didn't rotate, I am still facing West (the direction I was facing when I jumped). The backpack was front-slight-right from the door (West).
If I see nothing facing West from the backpack, the rest of the room might be behind me or to the sides. I need to scan Room 2.
I will rotate 90 degrees clockwise (to face North) and observe.

I jumped to the backpack and observed nothing in my current FOV. Since I didn't rotate, I am still facing West (the direction I was facing when I jumped). The backpack was front-slight-right from the door (West).
If I see nothing facing West from the backpack, the rest of the room might be behind me...

THINK:
I need to update my cognitive map based on the observations so far.
Initial State: Agent at (0,0) facing North in Room 1.
1. Observe (facing North):
- scooter: front-slight-right, mid distance. (Roughly NNE, ~3m). Let's estimate (1, 3).
- teddybear: front-left, slightly far. (Roughly NNW, ~5m). Let's estimate (-2, 4).
2. Rotate 90 (facing East):
- Empty.
3. Rotate 90 (facing South):
- plant: front-left, mid distance. (Roughly SE, ~3m). Let's estimate (2, -2).
- brown door: front-slight-right, mid distance, on front wall. (Roughly SSW, ~3m). Let's estimate (-1, -3). Since it's a door on the wall, and I'm at (0,0), maybe (-1, -3) or (0, -3).
4. Rotate 90 (facing West):
- truck: front-slight-right, mid distance. (Roughly WNW, ~3m). Let's estimate (-3, 1).
- teddybear: front-right, slightly far. (Roughly NNW). Consistent with previous observation.
- red door: front, slightly far, on front wall. (Directly West, ~5m). Let's estimate (-5, 0).
5. JumpTo(red door), Observe (facing West):
- At (-5, 0).
- airplane: front-right, slightly far. (Roughly NW from door, so West+North).
- laptop: front-left, mid distance. (Roughly SW from door, so West+South).
- backpack: front-slight-right, slightly far. (Roughly WNW from door).
6. JumpTo(backpack), Observe (facing West):
- Empty.
7. Rotate 90 (facing North), Observe:
- airplane: front, near. (So airplane is North of backpack).

Let's refine coordinates.
Room 1 (centered roughly at 0,0):
- scooter: (1, 3) facing right (East).
- teddybear: (-2, 4) facing right (East).
- plant: (2, -2).
- brown door: (0, -3) or (-1, -3). Let's pick (0, -3) for simplicity, facing South.
- truck: (-3, 1) facing backward (East? If facing West, backward is East).
- red door: (-5, 0).

Room 2 (accessed via red door at -5,0):
- Agent jumped to red door (-5,0).
- Saw backpack front-slight-right, slightly far (4-8m). Let's say (-8, 3).
- Saw airplane front-right, slightly far. Let's say (-9, 4).
- Saw laptop front-left, mid (2-4m). Let's say (-7, -2).
- Jumped to backpack (estimated at -8, 3).
- Faced West, saw nothing.
- Rotated North. Saw airplane front, near. This confirms airplane is North of backpack. If backpack is (-8, 3), airplane is likely (-8, 4) or (-8, 5).

Let's adjust Room 2 coords to be consistent.
Red door at (-5, 0). Facing West.
Backpack: front-slight-right (angle 0-22.5 right), slightly far (4-8). cos(angle) ~ 1. dx ~ -dist, dy ~ small positive. Say dist=5. (-10, 1) or (-9, 2). Let's guess (-9, 2).
Airplane: front-right (angle 22.5-45 right), slightly far. (-8, 4)?
Laptop: front-left (angle 0-45 left), mid (2-4). (-7, -2).

Agent at backpack (-9, 2).
Rotate North. Facing North.
Observe: airplane front, near. So airplane is at (-9, 3) or (-9, 4).
Let's fix backpack at (-9, 2) and airplane at (-9, 4).
Laptop at (-7, -2).

Room 1:
Scooter (1,3).
Teddybear (-2,4).
Plant (2,-2).
Brown door (0,-3).
Truck (-3,1).
Red door (-5,0).

Current Agent State:
At backpack (-9, 2), facing North.

Coordinates are approximate integers.
Objects:
scooter, shoppingcart (not seen), green chair (not seen), truck, airplane, cap (not seen), teddybear, plant, laptop, toilet (not seen), backpack, television (not seen).
Doors: red door, brown door.

I will populate the JSON map with these estimated coordinates.

FINAL ANSWER:
```json
{
"agent": {"position": [-9, 2], "facing": "north"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-2, 4], "facing": "east"},
"plant": {"position": [2, -2]},
"brown door": {"position": [0, -3]},
"truck": {"position": [-3, 1], "facing": "east"},
"red door": {"position": [-5, 0]},
"airplane": {"position": [-9, 4], "facing": "west"},
"laptop": {"position": [-7, -2], "facing": "east"},
"backpack": {"position": [-9, 2], "facing": "east"}
}
```

THINK:
I need to update my cognitive map based on the observations so far.
Initial State: Agent at (0,0) facing North in Room 1.
1. Observe (facing North):
- scooter: front-slight-right, mid distance. (Roughly NNE, ~3m). Let's estimate (1, 3).
- teddybear: front-left, slightly far. (Roughly NN...

{
  "agent": {
    "position": [
      -9,
      2
    ],
    "facing": "north"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      4
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "brown door": {
    "position": [
      0,
      -3
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "airplane": {
    "position": [
      -9,
      4
    ],
    "facing": "west"
  },
  "laptop": {
    "position": [
      -7,
      -2
    ],
    "facing": "east"
  },
  "backpack": {
    "position": [
      -9,
      2
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "north"
  }
}

THINK:
I am currently at the 'backpack' location.
I just rotated 90 degrees clockwise. My previous orientation was West (from the door jump).
Therefore, I am now facing North.
My observation is:
- airplane: front, near, facing left.

"Front" relative to me (facing North) is +y in the local frame.
"Near" corresponds to distance (0, 2]. Let's estimate it as 1.5 units.
So, the airplane is roughly at [0, 1.5] relative to me.
The airplane is "facing left". Left in my local frame (where forward is +y) is -x. So the airplane is facing -x.

I need to construct the Local Cognitive Map.
Origin is "agent".
Objects:
"airplane":
Position: [0, 1.5] (approximate based on "near" and "front"). Let's use integers if possible or floats. The prompt says "integer (x, y) coordinates" for the grid, but in the *local* map relative to agent, I should represent the spatial relation. However, the instructions for the Local Cognitive Map schema say "position: [x, y] integers" in the shared schema part, but then "each object's position... relative to the agent". Let's assume standard grid integers relative to agent.
"Front, near" -> (0, 1) or (0, 2). Let's pick (0, 2) for "near" (which is (0,2]). Or maybe (0,1). The "near" bin is (0, 2]. Let's say (0, 2) to be safe, or (0, 1). Given "mid distance" is (2,4], "near" is probably 1 or 2. Let's use [0, 2].
Facing: "facing left". My local left is -x.

Wait, I need to check the previous observations to refine this if possible, but the local map is strictly about the *current* observation.
Current Observation: "airplane: front, near, facing left".
So simply:
airplane: pos [0, 2] (approx), facing "-x".

JSON structure:
{
"origin": "agent",
"objects": {
"airplane": { "position": [0, 2], "facing": "-x" }
}
}

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

THINK:
I am currently at the 'backpack' location.
I just rotated 90 degrees clockwise. My previous orientation was West (from the door jump).
Therefore, I am now facing North.
My observation is:
- airplane: front, near, facing left.

"Front" relative to me (facing North) is +y in the local frame.
"N...

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

{
  "airplane": {
    "position": [
      0,
      2
    ],
    "facing": "west"
  }
}

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

THINK:
I am currently at the backpack in Room 2. I entered via the "red door" from Room 1.
Initial position in Room 1 (let's assume (0,0) or some central point).
Room 1 contained: scooter (N), teddybear (N/W), plant (S), brown door (S), truck (W), red door (W).
I jumped to the red door (West wall of Room 1).
Then I jumped to the backpack (inside Room 2).
From the backpack, facing North (after rotating), I see the airplane.
The map provided shows Room 2 on the top-left, Room 1 below it, and potentially Room 3 to the right (connected by brown door from Room 1? No, brown door was South of Room 1 start. The map layout shows Room 1 at the bottom left? Wait.)
Let's analyze the map layout provided visually.
The map shows walls `#`.
Top-left room looks like Room 2. There is a door `+` on its south wall connecting to a room below? Or is that the "red door"?
Let's re-read the observations.
Room 1 Start (0,0), facing North.
Observations:
N: Scooter, Teddybear.
E: Empty.
S: Plant, Brown Door.
W: Truck, Teddybear, Red Door.
So Room 1 has objects in N, S, W.
Red Door is on the "front wall" when facing West. So Red Door is West of Start.
Brown Door is on "front wall" when facing South. So Brown Door is South of Start.

The provided map has an Agent `*` in the top-left room. This contradicts the sequence if I started in Room 1 and moved West to Room 2.
Let's look at the map coordinates relative to the shape.
Map structure:
Top-left rectangle (Room A?)
Bottom-left rectangle (Room B?)
Right side?
Wait, the map shows:
```
###############
#....F.#......#
#E....B#......#
#*....D#......# <-- Agent here in the top-left room.
#......+......# <-- Door here connecting to room below.
#......#......#
#.A...C#......#
###########+###
```
If I am at the backpack in Room 2, and the Agent `*` is shown in the top-left room, then the top-left room corresponds to Room 2.
If Room 2 is West of Room 1 (I went West through Red Door), then Room 1 should be to the *Right* (East) of Room 2.
But the door `+` shown in the map is on the *South* wall of the top-left room.
Let's re-evaluate "Red Door".
In Room 1, facing West, Red Door was "front". So Red Door is West of Room 1 center.
Moving through Red Door (West) puts me in Room 2. So Room 2 is West of Room 1.
This matches: Room 2 (Left/West) -- Room 1 (Right/East).
The map shows a vertical wall separating a left area and a right area.
Left area: Top part has `*`, `F`, `E`, `B`, `D`. Bottom part has `A`, `C`.
There is a horizontal wall segment `#......#......#` separating top-left and bottom-left? No, looks like a single room on the left?
Wait, looking at row 5: `#......+......#`. This looks like a door connecting Top-Left and Bottom-Left?
Or is the vertical line the separator?
Column 7 has `#`. So x=0..6 is left room(s), x=8..14 is right room(s).
I am in Room 2 (West of Room 1). So I should be on the left side of the map. The map shows `*` on the left.
Room 1 is East of Room 2. So Room 1 should be on the right side.
However, I found a Brown Door to the *South* of Room 1.
So Room 3 is South of Room 1.
Let's map the logical topology to the visual map.
Topology:
R2 --(Red)-- R1
| (Brown)
R3
Visual Map:
Left block (width ~6) and Right block (width ~6).
Agent `*` is at `(1, 10)` (approx, counting from bottom-left 0,0).
The `+` is at `(7, 10)`? No, the vertical wall is at x=7. The `+` is at `(7, 10)`... No, row 4 (from top) has `#......+......#`. That `+` is at x=7? No, x=7 is `#` in other rows.
Row 4: `#. . . . . . + . . . . . . #`. Wait, the `+` is in the middle of the empty space? No.
Let's count characters.
Row 0 (Top): `###############` (15 chars).
Row 4: `#......+......#`. x=0 is #. x=7 is `+`.
So there is a door at x=7 connecting left and right?
If x=7 is the wall between R2 and R1, then the door at x=7 matches the Red Door (connecting West R1 and East R2... wait. R2 is West of R1).
If R2 is West (Left) and R1 is Right (East), the door between them is at the vertical boundary.
So the door at x=7 connects the Left Room and Right Room.
This matches the logical position of the Red Door.
I am currently in Room 2 (Left room). The Agent `*` is in the Left room. Correct.
The unobserved regions are areas I haven't seen.
I am at the backpack. I have looked:
- From Red Door (looking West into R2): Saw airplane (front-right), laptop (front-left), backpack (front-slight-right). This covers the cone pointing West from the door (x=7).
- From Backpack (jumped to it): Observed (looking West) -> Empty.
- Rotated 90 deg (facing North): Saw airplane.
My current position `*` is the backpack.
I have seen the airplane (North of backpack).
I have not looked South or East from the backpack yet.
I entered from the East (door at x=7).
I haven't fully scanned the Southern part of Room 2.
Also, I haven't been to Room 3 (South of Room 1) or explored the rest of Room 1 (I scanned it from the center, but maybe corners are hidden? No, usually center scan covers all unless occluded).
Candidates on Map:
Left Room (R2): `F` (Top), `E` (Left), `B` (Right/Center), `D` (Right/Center), `A` (Bottom), `C` (Bottom).
Right Room (R1): The right side of the map seems empty of candidates?
Wait, the map has `+` at the bottom right `###########+###`.
Let's identify the room boundaries.
Left Room (R2): x=1..6, y=top..bottom?
There is a horizontal wall segment or just empty space?
Row 4: `#......+......#`. The `+` is at x=7.
The rows below row 6 seem to be another room?
Row 6: `#......#......#`.
Row 7: `#.A...C#......#`.
Row 8: `###########+###`.
It seems the left side is divided into top and bottom?
Or is the map showing R2 (Top-Left), R1 (Top-Right)?
If R1 is Top-Right, where is R3 (South of R1)? Bottom-Right?
The `+` in Row 8 is at x=11.
If R1 is Top-Right, and R3 is South of it, the door should be on the bottom wall of Top-Right.
Row 8 `###########+###` suggests a door on the bottom wall.
This fits: R1 (Top-Right), R3 (Bottom-Right).
And R2 (Top-Left) is connected to R1 via the door at x=7.
So:
Top-Left: R2 (Where I am).
Top-Right: R1 (Where I started).
Bottom-Right: R3? Or Bottom-Left?
The map shows `A` and `C` in the bottom-left area (rows 7, etc).
Is the bottom-left area reachable?
I see no door connecting Top-Left to Bottom-Left. The wall at Row 8 `###########+###` blocks the bottom? No, that's the bottom of the map area shown in the ascii art?
Actually, let's look at the wall at Row 6: `#......#......#`. It has a `#` at x=7.
Is there a horizontal wall separating top-left and bottom-left? No, the ascii shows dots `.`
So the left side is one big room or connected?
Row 6: `#......#......#`. Just `#` at boundaries?
Wait, if `.` means floor, then (x=1..6, y=High) is connected to (x=1..6, y=Low).
So `A` and `C` are in the southern part of the Left Room (R2).
`E`, `F` are in the northern/western part.
`B`, `D` are in the eastern part (near the door to R1).
I am at `*`. I just looked North and saw Airplane. `F` is likely near the airplane or north.
I haven't looked South in R2. `A` and `C` are South.
I haven't looked East from the backpack (back towards the door). `B`, `D` might be there, but I saw that area when entering?
I saw "airplane, laptop, backpack" when entering from the door.
Backpack was "front-slight-right" (North-West ish from door).
Laptop was "front-left" (South-West ish from door).
So `C` or `A` might be near the laptop?
I haven't visited the laptop.
I haven't looked South from the backpack.
So the southern part of R2 (candidates A, C) is likely unobserved from my current pose (at backpack, looked W (empty) and N (airplane)).
The region near the door (East of backpack) was seen when I entered, but observing from the backpack might reveal more or confirm.
However, `F` (North) is near the airplane which I just saw. Is `F` unobserved? I saw the airplane. If `F` is the airplane or in that cone, it's observed.
`E` is West. I looked West and saw "No objects". So `E` area is empty or `E` is a point in that empty space. Since I observed it and saw nothing, is the *region* unobserved? The task asks for "unexplored/unobserved regions". If I looked and saw nothing, I have observed it.
However, `A` and `C` are to the South. I have not looked South from the backpack.
What about `B` and `D`? They are East. I haven't looked East from the backpack.
So `A`, `C`, `B`, `D` are candidates.
`E` (West) was observed (empty).
`F` (North) was observed (airplane).
So unobserved: `A`, `C`, `B`, `D`.
Wait, `B` and `D` are near the door I came from. I observed that area *from the door*. Does that count?
Yes, "previously observed".
But `A` and `C` (South part) - did I see them?
From the door (facing West), I saw "laptop: front-left". The laptop is in the South-West direction from the door.
If `A` or `C` are near the laptop, they might be observed.
But the candidates `A`, `C` are specific points.
Let's assume the question asks for points I haven't confirmed or fully explored, or simply points in the grid that are currently "foggy".
Usually, points behind me or to the side that I haven't pointed my sensor at *from a nearby location* might be considered unobserved if occlusions matter.
However, based on standard "Fog of War" logic:
I stood at the door (x=7, y=?) and looked West. Covered a cone.
I stood at backpack (x=?, y=?) and looked West (Empty) and North (Airplane).
I have NOT looked South from the backpack.
I have NOT looked East from the backpack.
From the door, I looked West. This covers the central cone.
The South part of R2 (where laptop is) was "front-left".
The North part (airplane, backpack) was "front-right".
The "front" was clear? Or just not mentioned.
So I have seen the laptop.
Is `A` or `C` the laptop?
The map shows `A` and `C` quite far south.
Let's look at the coordinates.
Top-Left Room seems to start at y=14 down to y=?.
Agent `*` is at row 3 (from top of internal area).
`A` and `C` are at row 7.
There is a gap.
I haven't gone near `A` and `C`.
I haven't looked South from the backpack.
So `A` and `C` are definitely in the "unexplored" set relative to my current position and recent actions?
Actually, relying on the "Fog Probe" rules: "Select the points that are located in unexplored/unobserved regions."
Regions I haven't seen.
I saw the laptop "front-left" from the door. That's a specific object. The area around it might be known.
But `A` and `C` might be further south or in corners I missed.
Also `E` is West. I looked West and saw nothing. So the space is known to be empty. So `E` is explored.
`F` is North. I saw the airplane. `F` is explored.
`B` and `D` are East. I came from East. I saw that area from the door.
So `A` and `C` are the most likely answers.
What about the Room 3? The map shows bottom right area `######......###`.
Wait, the `+` at the bottom right connects to a room *below* the visible area? Or is the room adjacent?
The prompt says "Imagine 3 rooms... Room 1, 2, 3".
I've been in R1 and R2.
R3 is connected to R1 via Brown Door (South).
R1 is Top-Right. South of Top-Right is Bottom-Right.
The map shows nothing in the Bottom-Right except `######......###` which looks like the top of a room or a corridor.
There are no candidate points shown in the Right side or Bottom Right.
All candidates `A`..`F` are in the Left Room (R2).
So I just need to decide which of `A`..`F` are unexplored.
I have visited the Red Door (entry to R2) and Backpack (inside R2).
I have looked West and North from Backpack.
I looked West from Red Door.
I have not looked South inside R2 (except the oblique view from the door).
I have not looked East inside R2 (except the view *from* the door *into* R2, but not *from* inside *back* to the door).
However, the area "East" of the backpack is the area between the backpack and the door, which I just traversed. It's explored.
The area "South" of the backpack (towards `A` and `C`) was seen from the door (saw laptop), but maybe not fully.
Also, the laptop was "mid distance". `A` and `C` seem to be deep in the room.
Let's assume `A` and `C` are unexplored.
`E` (West) - looked, empty. Explored.
`F` (North) - looked, airplane. Explored.
`B`, `D` - East. Traversed. Explored.
So `A`, `C`.

Let's double check `E`. I looked West from Backpack and saw *Nothing*. This implies the space is empty, hence "observed".
So `E` is not "unobserved".
Unobserved usually means "I haven't looked there yet" or "I haven't seen it clearly".
Since I haven't looked South from the backpack, and the view from the door was from a distance, `A` and `C` are the best candidates.
The view from the door "front-left" saw the laptop. `A` and `C` are located in the south.
Is the laptop at `A` or `C`? Maybe.
But usually in these tasks, if I haven't performed an `Observe` facing that specific direction from a closer vantage point, or if the previous observation was from a different room/doorway, it might be considered partially unexplored.
However, `A` and `C` are in the South. I am at `*` (North).
I have not oriented South.
So I will select A and C.

What about B and D? They are to the East. I am at `*`. I haven't looked East from `*`.
But I *came* from the East (Door).
Does walking through an area count as observing?
No, the rules say "Observe() ... from your current position".
And "JumpTo ... MUST be in your field of view and previously observed".
I observed the backpack from the door. Then jumped to it.
The path from Door to Backpack is known.
`B` and `D` appear to be in the space between the door and the backpack (or slightly off).
`B` is North-East of `D`. `D` is South-East of `B`.
The door is at the wall.
If I haven't looked East *from the backpack*, I haven't confirmed the relationship of objects there *from this node*, but the region was seen from the door.
Is it "unexplored"? I've seen it.
So `A` and `C` (South) are the most likely. I saw a laptop there, but maybe there's more. And looking "front-left" from the door covers a different angle than looking South from the backpack.
Looking South from the backpack might reveal what's behind the laptop or in the corners.
So `A` and `C` are good.
Also, `E` is to the West. I looked West and saw nothing. It's explored.
`F` is to the North. I saw airplane. Explored.
So `A`, `C`.

Wait, looking closer at the ASCII map.
`*` is at row 3.
`E` is at row 2 (left). `B` is at row 2 (right).
`F` is at row 1 (center).
`D` is at row 3 (right).
`A` is at row 6 (left). `C` is at row 6 (right).
My previous coordinates were approximate.
The Agent `*` is at the same vertical level as `D`? No, `*` is `.` then `D`.
Row 3: `#*....D#`.
So `D` is directly East of `*`.
`B` is North-East.
`E` is North-West? No, Row 2: `#E....B#`. `E` is above `*`?
If `*` is at (col 1, row 3), `E` is at (col 1, row 2).
So `E` is directly North of `*` (assuming Y points Up, so row numbers decrease going up? Or standard matrix notation?).
"North is Up".
Map:
Row 0: `#######`
Row 1: `..F..`
Row 2: `E...B`
Row 3: `*...D`
Row 4: `.....`
...
Row 6: `.A.C.`

If `*` is at Row 3.
North is Up (towards Row 0).
I looked North (Action: Rotate 90 deg clockwise from West... wait).
Let's re-trace orientation.
Jumped to Backpack.
Orientation: Same as when jumped?
Rules: "JumpTo(OBJ)... Your orientation does NOT change."
At Red Door, I was facing West (to enter R2).
Jumped to Backpack. Still facing West.
Observed (Action 1 at Backpack): "No objects". So West is empty.
West of `*` (Row 3, Col 1) is the wall `#`. (Col 0).
So seeing "No objects" makes sense (just wall, no objects).
Then "Rotate(90)". Clockwise.
West + 90 = North.
Observed (Action 2 at Backpack): "airplane: front, near".
North of `*` is `E` (Row 2, Col 1)?
If `E` is a candidate point, and I see "airplane" in front (North), maybe the airplane is at `E` or `F`.
`F` is Row 1, Center. `E` is Row 2, Left.
Airplane was "front" (North).
So the North region is observed.
I have NOT looked East (towards `D` and `B`).
I have NOT looked South (towards `A` and `C`).
Wait, I came from the East (Door is at x=7).
I saw the backpack *from* the East.
But I haven't looked *back* at the East.
In these grid problems, "unexplored" usually refers to areas not covered by the current set of observations *or* areas not visited.
But I have "seen" the East area from the door.
I have NOT "seen" the South area from the backpack. I saw it from the door (front-left).
However, from the door (at x=7), looking West:
Laptop was "front-left" (South-West).
Backpack was "front-slight-right" (North-West).
Airplane was "front-right" (North-West).
So I have seen the general content of R2.
But typically, the "candidates" A-Z mark cells.
If I haven't observed *from* a nearby location, or if the view was distant/oblique, they might be "foggy".
However, `A` and `C` are far south.
`B` and `D` are East.
The view from the door covered `B`, `D`, `E`?, `F`, `A`?, `C`?
The FOV is 90 degrees.
From Door (x=7, y=3?), facing West.
Cone covers NW to SW.
`B` (Row 2, Right) and `D` (Row 3, Right) are close to the door. They were likely in the FOV.
`F` (Row 1) and `E` (Row 2) are further West/North.
`A` and `C` are South.
If I saw "laptop" at South-West, I saw the `A`/`C` area.
But "unexplored/unobserved regions" might imply areas I haven't visited and confirmed *locally*.
Usually, the ones *behind* walls or in corners are key.
But here, it's an open room.
Let's consider what I *haven't* done.
I haven't looked South.
I haven't looked East.
I looked West (saw wall/empty).
I looked North (saw airplane).
So N and W are "freshly" observed.
S and E are not.
So `A`, `C` (South) and `B`, `D` (East) are candidates.
But I came from East. So `B`, `D` are less likely to be "unexplored" than `A`, `C`.
So `A`, `C` are the strongest candidates.
Also, `E`? I looked West. The map shows `E` at (Row 2, Col 1). `*` is at (Row 3, Col 1).
`E` is North of `*`.
I looked North and saw Airplane. So `E` is covered.
`F` is North. Covered.
So `A`, `C`, `B`, `D`.
Given I came from `B`/`D` area, I'll stick with `A` and `C` as the ones deeper in the room that I haven't approached or looked directly at from inside.

JSON Map Answer: `["A", "C"]` seems safest. Maybe `B` and `D` too?
"Select the points that are located in unexplored/unobserved regions."
If I walked past them, are they observed?
"JumpTo(OBJ): Jump to the same position...".
I jumped from Door to Backpack.
The path is a straight line.
If `B` and `D` are not on the line, did I see them?
From Door, I saw Backpack. `D` is between Door and Backpack?
Row 3: `*...D...Door`.
Yes, `D` is directly on the path (or close).
So `D` is observed.
`B` is Row 2. `D` is Row 3.
If I jumped to Backpack (Row 3), `B` (Row 2) is to the side.
But from the Door, I saw Airplane (Row 1/2).
Airplane is near `B` or `F`.
So the northern part is observed.
The Southern part (Laptop, A, C) - I saw "laptop".
But maybe `A` or `C` are further South?
The map shows `A` and `C` at Row 6. Laptop might be Row 4 or 5.
So `A` and `C` are good candidates.
Final check: `E`. `E` is at Row 2, Col 1. `*` is at Row 3, Col 1.
`E` is North. I looked North. Saw Airplane.
So `E` is observed.

So, `A` and `C`.

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

THINK:
I am currently at the backpack in Room 2. I entered via the "red door" from Room 1.
Initial position in Room 1 (let's assume (0,0) or some central point).
Room 1 contained: scooter (N), teddybear (N/W), plant (S), brown door (S), truck (W), red door (W).
I jumped to the red door (West wall of...

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

You rotated clockwise 90°. You observe:
• airplane: front, near, facing left.
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 90°. You observe:
• airplane: front, near, facing left.
You have a maximum of 13 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am at the backpack, facing North. I see the airplane. I previously saw the laptop from the door (which was to my left/south-west from here roughly).
I need to check the other directions from the backpack to fully map Room 2.
I have checked West (empty) and North (airplane).
I will rotate 90 degrees clockwise (to face East) and observe. This should look back towards the red door (since I jumped West/North-West to get here).

I am at the backpack, facing North. I see the airplane. I previously saw the laptop from the door (which was to my left/south-west from here roughly).
I need to check the other directions from the backpack to fully map Room 2.
I have checked West (empty) and North (airplane).
I will rotate 90 degree...

THINK:
I need to construct the JSON map based on my observations.
Initial state: Agent at (0,0) facing North.

1. **Step 1 (Observe at 0,0 facing North):**
* `scooter`: front-slight-right, mid distance. "Mid distance" is (2, 4]. Let's estimate distance ~3. Angle ~20 deg. North is +y. Front-right is North-East. Let's put scooter around (1, 3). Facing right (East).
* `teddybear`: front-left, slightly far. "Slightly far" is (4, 8]. Distance ~6. Angle ~-20 deg (North-West). Pos ~(-2, 5). Facing right (East).

2. **Step 2 (Rotate 90 -> Facing East):**
* Observed nothing.

3. **Step 3 (Rotate 90 -> Facing South):**
* `plant`: front-left, mid distance. Facing South, front-left is South-East. Distance ~3. Pos ~(2, -2).
* `brown door`: front-slight-right, mid distance. Facing South, front-right is South-West. Distance ~3. Pos ~(-1, -3). On front wall (South wall of Room 1).

4. **Step 4 (Rotate 90 -> Facing West):**
* `truck`: front-slight-right, mid distance. Facing West, front-right is North-West. Distance ~3. Pos ~(-3, 1). Facing backward (East).
* `teddybear`: front-right, slightly far. Facing West, front-right is North. This confirms the previous teddybear sighting. North of (0,0) is to the right of West-facing agent.
* `red door`: front, slightly far. Facing West. Distance ~5. Pos ~(-5, 0). On front wall (West wall).

5. **Step 5 (Jump to red door at ~(-5, 0), facing West):**
* At the door.
* `airplane`: front-right, slightly far. West facing -> North-West. Distance ~6. Pos ~(-5 - 4, 0 + 4) = (-9, 4). Facing forward (West).
* `laptop`: front-left, mid distance. West facing -> South-West. Distance ~3. Pos ~(-5 - 2, 0 - 2) = (-7, -2). Facing right (North? No, relative to object? Rules say "facing... (allo)"). Wait, instructions say: "Orientation: forward/backward/right/left (ego) or north/east/south/west (allo). ... When agent faces north: forward = north, right = east...". The observation says "facing right". If the agent is facing West, "facing right" relative to agent is North? Or is "facing right" an absolute property reported relative to the agent's current view?
* Re-reading rules: "Orientation: -forward/backward/right/left (ego) ... -When agent faces north...". The observations are "facing right", "facing backward". These are likely egocentric relative to the agent's current facing.
* Let's check `scooter` in Step 1 (North facing): "facing right". Right of North is East. So scooter faces East.
* Let's check `truck` in Step 4 (West facing): "facing backward". Backward of West is East. Truck faces East.
* Back to Step 5 (West facing):
* `airplane`: "facing forward". Forward of West is West. Airplane faces West.
* `laptop`: "facing right". Right of West is North. Laptop faces North.
* `backpack`: "facing backward". Backward of West is East. Backpack faces East.
* `backpack` pos: front-slight-right, slightly far. West facing -> North-West. Distance ~5. Pos ~(-5 - 4, 0 + 2) = (-9, 2).

6. **Step 6 (Jump to backpack at ~(-9, 2), facing West):**
* Agent at (-9, 2).
* Observe: Nothing.

7. **Step 7 (Rotate 90 -> Facing North):**
* `airplane`: front, near. Agent at (-9, 2) facing North. Airplane is at (-9, 4). Distance 2. Fits "near". Airplane faces "left". Left of North is West. Consistent with Step 5.

8. **Step 8 (Rotate 90 -> Facing East):**
* Agent at (-9, 2) facing East.
* `shoppingcart`: front-left, slightly far. Front-left of East is North-East. Pos ~(-9 + 4, 2 + 4) = (-5, 6)? Or maybe closer to Room 1?
* Let's refine. "front-left". Distance ~5. (-9 + 3.5, 2 + 3.5) = (-5.5, 5.5).
* `laptop`: front-right, slightly far. Front-right of East is South-East. Pos ~(-9 + 4, 2 - 2) = (-5, 0)? Or (-7, -2) from Step 5.
* From red door (-5,0) facing West, laptop was front-left (South-West). (-5 - 2, 0 - 2) = (-7, -2).
* From backpack (-9, 2) facing East, laptop is front-right (South-East). (-9 + 2, 2 - 4) = (-7, -2). Matches well.
* `red door`: front-slight-right, slightly far. From (-9, 2) facing East, door at (-5, 0) is East-South-East. Matches "front-slight-right". Distance sqrt(4^2 + 2^2) = 4.5 ("slightly far"). Matches.

* New object: `shoppingcart`.
* From backpack (-9, 2) facing East.
* "front-left" (North-East).
* "slightly far" (~5).
* Pos ~(-9 + 4, 2 + 3) = (-5, 5).
* "facing left". Left of East is North. Shoppingcart faces North.

Coordinates Summary (Approximate integer grid):
Agent: (-9, 2), facing East.
Scooter: (1, 3), facing East.
Teddybear: (-2, 5), facing East.
Plant: (2, -2).
Brown Door: (-1, -3).
Truck: (-3, 1), facing East.
Red Door: (-5, 0).
Airplane: (-9, 4), facing West.
Backpack: (-9, 2), facing East. (Agent is here)
Laptop: (-7, -2), facing North.
Shoppingcart: (-5, 5), facing North.

Wait, looking at the layout:
Room 1 is roughly centered at (0,0).
Room 2 is to the West (accessed via Red Door at -5,0).
Objects in Room 2: Airplane, Backpack, Laptop, Shoppingcart.
Backpack is at (-9, 2). Airplane (-9, 4). Laptop (-7, -2). Shoppingcart (-5, 5).
Room 2 seems to be on the West side.

I need to decide the next step. I have scanned Room 2 from the backpack (West, North, East). I haven't scanned South from the backpack.
South from backpack (-9, 2) would look towards (-9, -something).
Laptop is at (-7, -2).
I should check South to be thorough in Room 2.
Also need to go back to Room 1 and explore the Brown Door (Room 3).

Current thought for map generation: Just output the current hypothesis.

FINAL ANSWER:
```json
{
"agent": {"position": [-9, 2], "facing": "east"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-2, 5], "facing": "east"},
"plant": {"position": [2, -2]},
"brown door": {"position": [-1, -3]},
"truck": {"position": [-3, 1], "facing": "east"},
"red door": {"position": [-5, 0]},
"airplane": {"position": [-9, 4], "facing": "west"},
"backpack": {"position": [-9, 2], "facing": "east"},
"laptop": {"position": [-7, -2], "facing": "north"},
"shoppingcart": {"position": [-5, 5], "facing": "north"}
}
```

THINK:
I need to construct the JSON map based on my observations.
Initial state: Agent at (0,0) facing North.

1. **Step 1 (Observe at 0,0 facing North):**
* `scooter`: front-slight-right, mid distance. "Mid distance" is (2, 4]. Let's estimate distance ~3. Angle ~20 deg. North is +y. Front-ri...

{
  "agent": {
    "position": [
      -9,
      2
    ],
    "facing": "east"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      5
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "airplane": {
    "position": [
      -9,
      4
    ],
    "facing": "west"
  },
  "backpack": {
    "position": [
      -9,
      2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -2
    ],
    "facing": "north"
  },
  "shoppingcart": {
    "position": [
      -5,
      5
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  }
}

THINK:
I am currently at the 'backpack'. I just rotated to face East (relative to the global map, assuming initial was North).
My current observation facing East shows:
- shoppingcart: front-left. Front is East, Left is North. So North-East relative to me? No, front-left relative to my facing. My facing is +y (local). Front-left is roughly (-x, +y).
- laptop: front-right. (+x, +y).
- red door: front-slight-right. (+x, +y).

Wait, I need to construct the JSON map relative to the *agent's current frame*.
Current Facing = +y.
Front = +y.
Right = +x.
Left = -x.

Observations:
1. **shoppingcart**: "front-left, slightly far, facing left".
- "front-left": Angle is roughly 45 deg left. Distance "slightly far" (4-8m). Let's estimate local coords. Say (-4, 4).
- "facing left": The object is facing left relative to my view? Or absolute? The prompt says "facing left" in the observation text. The prompt description says: "Orientation: forward/backward/right/left (ego) ... When agent faces north: forward = north".
- Usually, "facing left" in observation means relative to the agent's current view. If I look forward and the object faces left, it faces my left (-x).
- Let's map: Position ~ (-4, 5). Facing: "-x".

2. **laptop**: "front-right, slightly far, facing left".
- "front-right": (~ +x, +y). Distance "slightly far". Say (4, 5).
- "facing left": Facing -x.

3. **red door**: "front-slight-right, slightly far, on front wall".
- "front-slight-right": Small angle right. Say (2, 6).
- "on front wall": It's a door. Facing is usually normal to wall? The prompt says "Orientation: report wall position". But in the JSON, I need "facing". For a door on the "front wall" (the wall in front of me), it faces me (or I face it). If I am looking at it, and it's on the front wall, the door's normal points opposite to me? Or is it just "facing": "-y" (towards me)? Or "+y" (aligned with me)?
- Let's assume standard object convention or omit if ambiguous, but instructions say "MUST include facing key if the object has facing direction". Doors are usually fixed. "facing" for door usually implies the direction *into* the room I'm currently in? Or the way it faces?
- Actually, for `JumpTo` purposes, door orientation matters less than position. But for the map, let's look at previous examples. The prompt examples don't show doors in the JSON. But I should include observed objects.
- "on front wall" means the wall is perpendicular to my view.
- I'll estimate coords for the red door roughly at (2, 6). Facing: let's say "-y" (facing me).

Wait, I need to be precise with the coordinate grid if possible, or just consistent.
Distance bins:
- near: (0,2] -> ~1
- mid: (2,4] -> ~3
- slightly far: (4,8] -> ~6

Shopping cart: front-left (-45 to -22.5). Slightly far (6). pos ~ (-4, 5).
Laptop: front-right (22.5 to 45). Slightly far (6). pos ~ (4, 5).
Red door: front-slight-right (0 to 22.5). Slightly far (6). pos ~ (2, 6).

Facing:
- shoppingcart: "facing left". My left is -x. So facing "-x".
- laptop: "facing left". My left is -x. So facing "-x".
- red door: "on front wall". Wall is at +y. Door faces -y.

JSON Structure:
{
"origin": "agent",
"objects": {
"shoppingcart": {"position": [-3, 5], "facing": "-x"},
"laptop": {"position": [3, 5], "facing": "-x"},
"red door": {"position": [1, 6], "facing": "-y"}
}
}
Values are approximate integers.

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"shoppingcart": {"position": [-3, 5], "facing": "-x"},
"laptop": {"position": [3, 5], "facing": "-x"},
"red door": {"position": [1, 6], "facing": "-y"}
}
}

THINK:
I am currently at the 'backpack'. I just rotated to face East (relative to the global map, assuming initial was North).
My current observation facing East shows:
- shoppingcart: front-left. Front is East, Left is North. So North-East relative to me? No, front-left relative to my facing. My fa...

{
  "origin": "agent",
  "objects": {
    "shoppingcart": {
      "position": [
        -3,
        5
      ],
      "facing": "-x"
    },
    "laptop": {
      "position": [
        3,
        5
      ],
      "facing": "-x"
    },
    "red door": {
      "position": [
        1,
        6
      ],
      "facing": "-y"
    }
  }
}

{
  "laptop": {
    "position": [
      2,
      4
    ],
    "facing": "north"
  },
  "shoppingcart": {
    "position": [
      -2,
      4
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      1,
      6
    ],
    "facing": "east"
  }
}

{
  "origin": "agent",
  "objects": {
    "shoppingcart": {
      "position": [
        -3,
        5
      ],
      "facing": "-x"
    },
    "laptop": {
      "position": [
        3,
        5
      ],
      "facing": "-x"
    },
    "red door": {
      "position": [
        1,
        6
      ],
      "facing": "-y"
    }
  }
}

{
  "shoppingcart": {
    "position": [
      -2,
      4
    ],
    "facing": "north"
  }
}

You rotated clockwise 90°. You observe:
• shoppingcart: front-left, slightly far, facing left
• laptop: front-right, slightly far, facing left
• red door: front-slight-right, slightly far, on front wall.
You have a maximum of 12 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated clockwise 90°. You observe:
• shoppingcart: front-left, slightly far, facing left
• laptop: front-right, slightly far, facing left
• red door: front-slight-right, slightly far, on front wall.
You have a maximum of 12 exploration steps left.
Strictly follow this format:
THINK:
[Your thou...

I am at the backpack facing East. I see a shoppingcart (new!), laptop, and the red door.
I have scanned West (empty), North (airplane), East (shoppingcart, laptop, red door).
I need to scan South to complete Room 2.

I am at the backpack facing East. I see a shoppingcart (new!), laptop, and the red door.
I have scanned West (empty), North (airplane), East (shoppingcart, laptop, red door).
I need to scan South to complete Room 2....

THINK:
I need to construct the cognitive map based on my observations.
Initial state: At (0,0) facing North in Room 1.

**Room 1 Observations:**
1. **Pos (0,0), Facing North:**
* `scooter`: front-slight-right (NNE), mid distance (~3-4). facing right (East).
* `teddybear`: front-left (NNW), slightly far (~5-6). facing right (East).
2. **Pos (0,0), Facing East:**
* No objects.
3. **Pos (0,0), Facing South:**
* `plant`: front-left (SE), mid distance (~3).
* `brown door`: front-slight-right (SSW), mid distance (~3). On front wall (South wall).
4. **Pos (0,0), Facing West:**
* `truck`: front-slight-right (WNW), mid distance (~3). facing backward (East).
* `teddybear`: front-right (NW), slightly far. (Matches previous observation).
* `red door`: front (West), slightly far (~5). On front wall.

*Inferred Coordinates Room 1 (Origin 0,0):*
* `scooter`: ~ (1, 3). Facing East.
* `teddybear`: ~ (-2, 5). Facing East.
* `plant`: ~ (2, -2).
* `brown door`: ~ (-1, -3).
* `truck`: ~ (-3, 1). Facing East.
* `red door`: ~ (-5, 0).

**Transition to Room 2:**
* Jumped to `red door` (~(-5,0)). Facing West.

**Room 2 Observations (from red door at ~(-5,0), facing West):**
1. **Pos ~(-5,0), Facing West:**
* `airplane`: front-right (NW), slightly far (~5). Facing forward (West). Position relative to door: ~(-3, 3) in local frame? No, door is at (-5,0). Facing West (-x). Front-right is West+North. So ~(-9, 4).
* `laptop`: front-left (SW), mid distance (~3). Facing right (North). Relative: West+South. ~(-7, -2).
* `backpack`: front-slight-right (WNW), slightly far (~5). Facing backward (East). Relative: West+North. ~(-9, 2).

* Jumped to `backpack` (~(-9, 2)). Facing West.
2. **Pos ~(-9, 2), Facing West:**
* Empty.
3. **Pos ~(-9, 2), Facing North:**
* `airplane`: front (North), near (~2). Facing left (West).
* Previous airplane pos: ~(-9, 4). This matches (North of -9,2 is -9,4).
4. **Pos ~(-9, 2), Facing East:**
* `shoppingcart`: front-left (NE), slightly far (~5). Facing left (North). Relative to (-9,2) facing East: Front-left is North-East. ~(-5, 6)? Or maybe ~(-6, 5).
* `laptop`: front-right (SE), slightly far (~5). Facing left (North). Relative to (-9,2): East+South. ~(-5, -1). Matches previous laptop est ~(-7,-2).
* `red door`: front-slight-right (ESE), slightly far (~5). Relative: ~(-5, 0). Consistent.

*Refining Coordinates Room 2:*
* `red door`: (-5, 0).
* `backpack`: (-9, 2). Facing East.
* `airplane`: (-9, 4). Facing West.
* `laptop`: ~(-6, -1). Facing North.
* `shoppingcart`: ~(-6, 5). Facing North.

I need to confirm coordinates. I will estimate integer coordinates.
Room 1:
Agent start (0,0).
Scooter: (1, 3) or (2,3). Let's guess (1, 3).
Teddybear: (-2, 5).
Plant: (2, -2).
Brown door: (-1, -3).
Truck: (-3, 1).
Red door: (-5, 0).

Room 2:
Backpack: (-9, 2).
Airplane: (-9, 4).
Laptop: (-6, -2). (From backpack(-9,2) facing East, laptop is front-right (SE) slightly far. (-6,-2) is dist 5. From red door(-5,0) facing West, laptop is front-left (SW) mid dist. (-6,-2) is dist sqrt(1+4)=2.2 (near/mid). Seems consistent).
Shoppingcart: From backpack(-9,2) facing East, front-left (NE) slightly far. Say (-6, 5). Dist sqrt(9+9) = 4.2.

Current Position: At `backpack` (-9, 2).
Current Facing: South (last action was Rotate 90 from East -> South).

I have mapped Room 1 and Room 2. I have not explored Room 3 (accessible via `brown door` in Room 1).
I need to go back to Room 1 and then to the `brown door`.
First, return to `red door`.

FINAL ANSWER:
```json
{
"agent": {"position": [-9, 2], "facing": "south"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-2, 5], "facing": "east"},
"plant": {"position": [2, -2]},
"brown door": {"position": [-1, -3]},
"truck": {"position": [-3, 1], "facing": "east"},
"red door": {"position": [-5, 0]},
"airplane": {"position": [-9, 4], "facing": "west"},
"laptop": {"position": [-6, -2], "facing": "north"},
"backpack": {"position": [-9, 2], "facing": "east"},
"shoppingcart": {"position": [-6, 5], "facing": "north"}
}
```

THINK:
I need to construct the cognitive map based on my observations.
Initial state: At (0,0) facing North in Room 1.

**Room 1 Observations:**
1. **Pos (0,0), Facing North:**
* `scooter`: front-slight-right (NNE), mid distance (~3-4). facing right (East).
* `teddybear`: front-left (NN...

{
  "agent": {
    "position": [
      -9,
      2
    ],
    "facing": "south"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      5
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "airplane": {
    "position": [
      -9,
      4
    ],
    "facing": "west"
  },
  "laptop": {
    "position": [
      -6,
      -2
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -9,
      2
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -6,
      5
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "south"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -11,
      1
    ],
    "facing": "south"
  }
}

THINK:
I am currently located at the backpack in Room 2.
My current orientation is facing South (I was facing East, then rotated 90° clockwise).
I just performed `Observe()` and saw "No objects in field of view".
Therefore, the local map relative to my current position and facing is empty.

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

THINK:
I am currently located at the backpack in Room 2.
My current orientation is facing South (I was facing East, then rotated 90° clockwise).
I just performed `Observe()` and saw "No objects in field of view".
Therefore, the local map relative to my current position and facing is empty.

FINAL AN...

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

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

You rotated clockwise 90°. You observe: No objects in field of view..
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 observe: No objects in field of view..
You have a maximum of 11 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I have completed scanning Room 2 (West: empty, North: airplane, East: shoppingcart/laptop/door, South: empty).
I have mapped Room 1 and Room 2. I need to go to Room 3.
Room 3 is accessed via the "brown door" located in Room 1 (South wall).
I am currently at the backpack in Room 2. I need to go back to Room 1.
The "red door" connects Room 2 and Room 1. I can see it from my current position (I saw it when facing East).
I am currently facing South. I need to Rotate to face East (where the door is) or just jump if I can? No, JumpTo requires the object to be in FOV *and* previously observed.
Wait, "The object you jump to MUST be in your field of view...".
I am facing South. The red door is to the East (I saw it 2 steps ago). I cannot jump to it right now because it's not in my *current* FOV.
I need to rotate to face the red door (East).
I will rotate -90 (or 270) to face East. Or just Rotate(-90).
Wait, I am facing South (after 3 rotations: Start West -> North -> East -> South).
To face East, I should Rotate(-90).
Then I can JumpTo(red door).
Wait, can I combine actions?
Yes, "Zero, one or more <M>".
So I can [Rotate(-90), JumpTo(red door), Observe()].
Wait, "When you are at a door, you can see objects from both connected rooms".
I want to go through the red door to Room 1, and then to the brown door.
So first step: Go to red door.
I am at backpack, facing South.
Action: Rotate(-90) -> Face East.
Action: JumpTo(red door).
Action: Observe(). (This is required as final action).

I have completed scanning Room 2 (West: empty, North: airplane, East: shoppingcart/laptop/door, South: empty).
I have mapped Room 1 and Room 2. I need to go to Room 3.
Room 3 is accessed via the "brown door" located in Room 1 (South wall).
I am currently at the backpack in Room 2. I need to go back ...

THINK:
I need to construct the JSON map based on my observations.
Initial state: Agent at (0,0) facing North.

Observations from Room 1 (Start):
1. Facing North (0,0):
- Scooter: front-slight-right (NNE), mid distance (2-4). Let's estimate (1, 3). Facing right (East).
- Teddybear: front-left (NNW), slightly far (4-8). Let's estimate (-2, 5). Facing right (East).

2. Rotated 90 (Facing East):
- Empty.

3. Rotated 90 (Facing South):
- Plant: front-left (SE from South facing -> East-South-East? No, front-left relative to South is South-East). Let's check bins.
Facing South (180 deg). Front is South. Left is East. Front-Left is [-45, -22.5] relative to South -> 135 to 157.5 degrees (South-East).
Plant is "front-left, mid distance". Position roughly (2, -2).
- Brown door: front-slight-right (South-West-ish), mid distance. On front wall (South wall). Let's say (0, -3) or (-1, -3).

4. Rotated 90 (Facing West):
- Truck: front-slight-right (WNW), mid distance. Facing backward (East).
- Teddybear: front-right (NW), slightly far. Facing backward (East). This matches the teddybear seen from North.
From (0,0) facing West, teddybear is front-right (NW). From (0,0) facing North, it was front-left (NW). Consistent.
Proximity: Truck is west, near to teddybear.
If teddybear is at (-2, 5), truck is West of it? Or just generally West from me?
"truck is west, near to teddybear". This implies truck is roughly (-3, 5) or (-4, 5).
Mid distance from (0,0) to (-3,5) is sqrt(9+25)=5.8 (slightly far). But observation said "mid distance" (2-4).
Maybe Teddybear is closer?
North view: Teddybear "slightly far" (4-8).
West view: Teddybear "slightly far".
Truck: "mid distance" (2-4).
Wait, if truck is mid distance and teddybear is slightly far, truck is closer.
And "truck is west, near to teddybear".
Let's refine coordinates.
Truck at (-3, 1)? Distance sqrt(10)=3.16 (Mid).
Teddybear at (-3, 3)? Distance sqrt(18)=4.2 (Slightly far).
Let's check angles.
Facing West: Truck (-3,1) is Front-Right (NW). Obs said Front-Slight-Right. (-3,1) angle is atan(1/3) ~ 18 deg right of West. Fits "front-slight-right" (0-22.5).
Teddybear (-3,3): Angle atan(1) = 45 deg right. Fits "front-right" (22.5-45).
Facing North: Scooter at (1,3)? Angle atan(1/3) ~ 18 deg right. Fits "front-slight-right".
Teddybear (-3,3): Angle atan(3/3) = 45 deg left. Fits "front-left" (-45 to -22.5).
Okay, coordinates:
Truck: (-3, 1), Facing East.
Teddybear: (-3, 3), Facing East.
Scooter: (1, 3), Facing East.

- Red door: Front, slightly far. On front wall (West).
Position (-5, 0). Distance 5 (Slightly far).

Room 2 Exploration:
Jumped to Red Door (-5, 0). Facing West.
Obs:
- Airplane: Front-right (NW), slightly far. Facing Forward (West).
- Laptop: Front-left (SW), mid distance. Facing Right (North).
- Backpack: Front-slight-right (WNW), slightly far. Facing Backward (East).
- "Airplane is east, near to backpack".
Wait, if I am facing West, and airplane is East of backpack...
Backpack is Front-Slight-Right (West-North-West).
Airplane is Front-Right (North-West).
If Airplane is East of Backpack, it is closer to the door (which is East of them).
Positions relative to door (-5,0):
Backpack: (-9, 1)? Distance 4.1 (Slightly far).
Airplane: (-8, 1)? Distance 3.1 (Mid). But obs said "slightly far". Maybe (-9, 2)?
Let's use the jumps.

Jumped to Backpack. Let's assume Backpack is at (-9, 2).
Facing West at Backpack: Saw nothing.
Rotate 90 (North): Saw Airplane "front, near, facing left".
If I face North at (-9, 2), Front is North. Airplane is Front. So Airplane is at (-9, 3) or (-9, 4).
Facing Left means Airplane faces West.
Previous obs: Airplane facing Forward (West). Consistent.
"Airplane is east, near to backpack". My coords (-9, 3) vs (-9, 2). They are North/South neighbors. Not East/West.
Let's re-read: "Assume your current facing direction is called 'north': airplane is east, near to backpack."
This was the observation from the RED DOOR (Facing West).
So relative to West-facing frame (North=West, East=North, South=South, West=East... wait).
"Assume your current facing direction is called 'north'".
Agent Faces West. So "North" maps to West.
"East" maps to North.
So "Airplane is east" means Airplane is North of Backpack.
This matches my (-9, 3) and (-9, 2) hypothesis.

Rotate 90 (East) at Backpack:
- Shoppingcart: Front-left (NE), slightly far. Facing Left (North).
- Laptop: Front-right (SE), slightly far. Facing Left (North).
- Red door: Front-slight-right (ESE), slightly far.
Agent at (-9, 2). Facing East.
Red door at (-5, 0).
dx = 4, dy = -2. Distance sqrt(20) ~ 4.5 (Slightly far).
Angle: atan(-2/4) = -26 deg (Right). "Front-slight-right" is (0, 22.5). -26 is "front-right".
Maybe Backpack is at (-10, 1)?
Red door (-5, 0). dx=5, dy=-1. Angle atan(-1/5) = -11 deg. Fits "front-slight-right".
Distance sqrt(26) ~ 5.1 (Slightly far).
So Backpack at (-10, 1).

Recalculate Airplane from Backpack (-10, 1) Facing North:
"Airplane front, near".
Pos: (-10, 2) or (-10, 3).
Previous "Airplane is North of Backpack" (East in relative frame).
Consistent.

Laptop from Backpack (-10, 1) facing East:
"Front-right, slightly far".
East is +x. Front-right is South-East.
Laptop should be at roughly (-7, -2)?
From Red door (facing West): Laptop was Front-Left (SW).
Door (-5, 0). SW is (-7, -2). Consistent.
"Laptop facing right" (from Door facing West) -> Facing North.
"Laptop facing left" (from Backpack facing East) -> Facing North.
Consistent.

Shoppingcart from Backpack (-10, 1) facing East:
"Front-left, slightly far".
Front-left is North-East.
Pos roughly (-7, 3).
Facing Left (North).

Current State:
Agent at Red Door (-5, 0). Facing East (into Room 1).

Objects recap:
Scooter: (1, 3)
Teddybear: (-3, 3)
Truck: (-3, 1)
Plant: (2, -2) ?
Brown Door: (0, -3) ?
Red Door: (-5, 0)
Backpack: (-10, 1)
Airplane: (-10, 3)
Laptop: (-7, -2)
Shoppingcart: (-7, 3)

Let's check the Observation at Red Door facing East:
- Scooter: Front-left, slightly far.
Agent (-5, 0) facing East.
Scooter (1, 3). dx=6, dy=3.
Angle atan(3/6) = 26 deg (Left).
Fits "front-left" (22.5, 45).
Distance sqrt(45) ~ 6.7. Slightly far. Correct.

- Truck: Front-left, mid distance.
Truck (-3, 1). dx=2, dy=1.
Angle atan(1/2) = 26 deg (Left).
Fits "front-left".
Distance sqrt(5) ~ 2.2. Mid distance. Correct.

- Plant: Front-slight-right, slightly far.
Plant (2, -2).
Agent (-5, 0).
dx=7, dy=-2.
Angle atan(-2/7) = -16 deg (Right).
Fits "front-slight-right".
Distance sqrt(53) ~ 7.3. Slightly far. Correct.

- Brown Door: Front-right, slightly far.
Brown door (0, -3).
Agent (-5, 0).
dx=5, dy=-3.
Angle atan(-3/5) = -31 deg (Right).
Fits "front-right".
Distance sqrt(34) ~ 5.8. Slightly far. Correct.

I am reasonably confident in these coordinates.

Refining Plant coords:
From (0,0) facing South (180):
Plant was "front-left".
South is -y. Left is +x. Front-left is (+x, -y).
My guess (2, -2).
Angle relative to South:
Vector (2, -2). South vector (0, -1).
Angle is 45 degrees left of South.
"Front-left" bin is (22.5, 45].
45 is on the edge. (22.5, 45]. Yes.
Distance sqrt(8) = 2.8. Mid distance. Correct.

Refining Brown Door coords:
From (0,0) facing South:
"Front-slight-right".
Vector (0, -3) is exactly Front.
Maybe (-1, -3)?
Vector (-1, -3). South is (0, -1).
Angle atan(1/3) = 18 deg Right.
Fits "front-slight-right" (0, 22.5).
Distance sqrt(10) = 3.16. Mid distance. Correct.
Let's check Brown Door from Red Door (-5, 0) facing East again.
Target (-1, -3).
dx=4, dy=-3.
Angle atan(-3/4) = -37 deg (Right).
Fits "front-right" (22.5, 45).
Distance 5. Correct.
So Brown Door is likely at (-1, -3) or (0, -3) if slight error allowed. I'll stick with (-1, -3) or maybe (0, -4).
Let's check "on front wall" from (0,0) facing South.
If room is rectangular, South wall is likely at y = -something.
If door is (0, -3) and wall is y=-3.
From Red door (-5, 0) facing East, "on right wall".
East facing, Right wall is South wall. Matches.

Final Map:
Agent: (-5, 0), facing East.
Scooter: (1, 3), Facing East.
Teddybear: (-3, 3), Facing East.
Truck: (-3, 1), Facing East.
Plant: (2, -2). No facing? "plant: front-left..." no facing mentioned.
Brown door: (-1, -3).
Red door: (-5, 0).
Backpack: (-10, 1), Facing East.
Airplane: (-10, 3), Facing West.
Laptop: (-7, -2), Facing North.
Shoppingcart: (-7, 3), Facing North.

Wait, is brown door at (0, -3) or (-1, -3)?
Obs: "on front wall" (South). "front-slight-right".
If I am at (0,0) facing South, (0,-3) is exactly front (0 deg). "Front-slight-right" is > 0.
So x must be negative. (-1, -3).

Wait, Red door was "on front wall" facing West. x = -something. (-5, 0).

Is there a room 3? "Imagine 3 rooms...".
I need to go to Brown Door to see Room 3.

Next step:
I am at Red Door (-5, 0). Facing East.
I see Brown Door.
I can JumpTo(brown door).

Wait, Brown Door is "slightly far" (5.8m).
Can I jump 5.8m? The instruction says "Jump to the same position... object... MUST be in your field of view".
It is in FOV. Distance doesn't restrict jumping.

Wait, I need to check if I missed anything in Room 1.
Start (0,0):
N: Scooter, Teddybear.
E: Empty.
S: Plant, Brown Door.
W: Truck, Teddybear, Red Door.

Missing sectors?
From Red Door facing East:
Scooter (NNE), Truck (Left/Center), Plant (SE), Brown Door (SE).
I see almost everything.
One object "Cap" is in the list (1-12).
I have found: 1(scooter), 2(shoppingcart), 4(truck), 5(airplane), 7(teddybear), 8(plant), 9(laptop), 11(backpack).
Missing: 3(green chair), 6(cap), 10(toilet), 12(television).
These must be in Room 3.

So, proceed to Room 3.
JumpTo(brown door).

FINAL ANSWER:
```json
{
"agent": {"position": [-5, 0], "facing": "east"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-3, 3], "facing": "east"},
"truck": {"position": [-3, 1], "facing": "east"},
"plant": {"position": [2, -2]},
"brown door": {"position": [-1, -3]},
"red door": {"position": [-5, 0]},
"backpack": {"position": [-10, 1], "facing": "east"},
"airplane": {"position": [-10, 3], "facing": "west"},
"laptop": {"position": [-7, -2], "facing": "north"},
"shoppingcart": {"position": [-7, 3], "facing": "north"}
}
```

THINK:
I need to construct the JSON map based on my observations.
Initial state: Agent at (0,0) facing North.

Observations from Room 1 (Start):
1. Facing North (0,0):
- Scooter: front-slight-right (NNE), mid distance (2-4). Let's estimate (1, 3). Facing right (East).
- Teddybear: front-left (...

{
  "agent": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "backpack": {
    "position": [
      -10,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -10,
      3
    ],
    "facing": "west"
  },
  "laptop": {
    "position": [
      -7,
      -2
    ],
    "facing": "north"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  }
}

THINK:
I am currently at the "red door".
My previous action was Rotate(-90) (facing East) and JumpTo(red door).
However, when jumping to a door, I am "located in a doorway". The orientation does not change during a jump.
I was at the backpack facing East (after rotating -90 from South). So I jumped to the red door facing East.
The observation says:
- scooter: front-left
- truck: front-left
- plant: front-slight-right
- brown door: front-right

Since I am facing East, "front" is East.
"front-left" corresponds to North-East.
"front-right" corresponds to South-East.

Wait, let's look at the Room 1 layout from earlier.
Room 1 Initial (0,0 facing North):
- scooter: front-right (North-East)
- teddybear: front-left (North-West)
- brown door: South (observed after rotating to face South)
- red door: West (observed after rotating to face West)
- truck: West (observed after rotating to face West)

So the red door is on the West wall of Room 1.
I am at the red door. Facing East looks into Room 1.
The "brown door" was at the South of Room 1.
From the red door (West wall, facing East):
- South is to my Right.
- North is to my Left.
- East is Front.

Observation check:
- "brown door: front-right". Front=East, Right=South. So South-East relative to me. This matches (Brown door is South).
- "scooter: front-left". Left=North. So North-East relative to me. Matches scooter being North-East in Room 1.
- "truck: front-left". Matches truck being near red door? Earlier, from center facing West, truck was front-slight-right (North-West). From red door facing East, truck should be near me?
It says "mid distance".
"front-left" -> North-East relative to me?
Wait, the truck was seen facing West from the center. It was "front-slight-right" when facing West -> North-West quadrant.
So from the red door (West wall), looking East, the truck (North-West) is to my Left (North). So "front-left" makes sense.

Now I need to construct the Local Cognitive Map.
Agent is at origin (0,0), facing +y (East).
Local axes: +y = East, +x = South (Right), -x = North (Left), -y = West.
Wait, standard frame:
+y is Front.
+x is Right.

Objects:
1. scooter: "front-left, slightly far".
- Angle: front-left is [-45, -22.5). Let's approximate.
- Distance: slightly far is (4, 8]. Let's say 6.
- Position: x (Right) is negative. y (Front) is positive.
- Facing: "facing forward". Forward relative to me (East) is East. So facing +y.

2. truck: "front-left, mid distance".
- Angle: front-left.
- Distance: mid (2, 4]. Say 3.
- Position: x negative, y positive.
- Facing: "facing forward". Facing +y.

3. plant: "front-slight-right, slightly far".
- Angle: front-slight-right (0, 22.5].
- Distance: slightly far (6).
- Position: x positive, y positive.
- Facing: Not specified? Oh, "plant" usually doesn't have facing or it wasn't listed. The observation just says "plant: front-slight-right, slightly far". No facing.

4. brown door: "front-right, slightly far, on right wall".
- Angle: front-right (22.5, 45].
- Distance: slightly far (6).
- Position: x positive, y positive.
- Orientation: "on right wall". My right is South. So the door is on the South wall.

I need to convert these to coordinates (x, y) relative to the agent where +y is front, +x is right.
- scooter: front-left -> x < 0, y > 0.
- truck: front-left -> x < 0, y > 0.
- plant: front-slight-right -> x > 0, y > 0.
- brown door: front-right -> x > 0, y > 0.

Let's pick approximate integer coordinates that fit the bins.
Distance bins:
Near: (0,2] -> 1 or 2
Mid: (2,4] -> 3 or 4
Slightly far: (4,8] -> 5, 6, 7
Far: (8,16]

Scooter: slightly far (~6), front-left. Say (-3, 5). sqrt(9+25)=5.8 (slightly far). Angle atan(-3/5) = -30 deg (front-left).
Truck: mid (~3), front-left. Say (-1, 3). sqrt(10)=3.1 (mid). Angle atan(-1/3) = -18 deg (front-slight-left).
Wait, observation said "truck: front-left". -22.5 to -45.
(-2, 2) is -45. (-1, 2) is -26. Distance sqrt(5)=2.2 (mid).
Let's use (-2, 3) for truck. Distance 3.6 (mid). Angle -33 (front-left).

Plant: slightly far (~6), front-slight-right.
(1, 6) -> angle 9 deg (front-slight-right). Distance 6.1.
(2, 5) -> angle 21 deg (front-slight-right). Distance 5.4.
Let's use (2, 5).

Brown door: slightly far (~6), front-right.
(3, 4) -> angle 37 deg (front-right). Distance 5.
(4, 4) -> angle 45 deg.
Let's use (4, 4).

Facings:
- scooter: "facing forward" -> facing +y.
- truck: "facing forward" -> facing +y.
- plant: none.
- brown door: "on right wall". This describes the position/orientation of the door. The door itself doesn't have a "facing" property in the same way, but usually doors are treated as objects. The prompt asks for "facing" if the object has it. The observation says "brown door... on right wall". It doesn't explicitly say "facing X". I will omit facing for the door unless I can infer it. However, the schema says "MUST include facing key if the object has facing direction". The observation text usually says "facing ...". For the door, it says "on right wall". I'll treat this as property.
Actually, for doors, usually they face perpendicular to the wall?
Wait, checking previous turns. "red door... on front wall". "brown door... on front wall" (when facing South).
The observation text provided is "brown door... on right wall". It does not use the word "facing".
So I will not include "facing" key for the door in the JSON, or I can try to interpret. The instructions say "Include only observed objects... MUST include facing key if the object has facing direction."
The observation has "facing forward" for scooter/truck. It does not for plant/door. So I omit.

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"scooter": {"position": [-3, 5], "facing": "+y"},
"truck": {"position": [-2, 3], "facing": "+y"},
"plant": {"position": [2, 5]},
"brown door": {"position": [4, 4]}
}
}

THINK:
I am currently at the "red door".
My previous action was Rotate(-90) (facing East) and JumpTo(red door).
However, when jumping to a door, I am "located in a doorway". The orientation does not change during a jump.
I was at the backpack facing East (after rotating -90 from South). So I jumped ...

{
  "origin": "agent",
  "objects": {
    "scooter": {
      "position": [
        -3,
        5
      ],
      "facing": "+y"
    },
    "truck": {
      "position": [
        -2,
        3
      ],
      "facing": "+y"
    },
    "plant": {
      "position": [
        2,
        5
      ]
    },
    "brown door": {
      "position": [
        4,
        4
      ]
    }
  }
}

{
  "truck": {
    "position": [
      -1,
      2
    ],
    "facing": "east"
  },
  "scooter": {
    "position": [
      -3,
      6
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      3,
      4
    ],
    "facing": "north"
  },
  "plant": {
    "position": [
      2,
      6
    ],
    "facing": "east"
  }
}

{
  "origin": "agent",
  "objects": {
    "scooter": {
      "position": [
        -3,
        5
      ],
      "facing": "+y"
    },
    "truck": {
      "position": [
        -2,
        3
      ],
      "facing": "+y"
    },
    "plant": {
      "position": [
        2,
        5
      ]
    },
    "brown door": {
      "position": [
        4,
        4
      ]
    }
  }
}

You rotated counterclockwise 90°. You jumped to red door. You observe:
• scooter: front-left, slightly far, facing forward
• truck: front-left, mid distance, facing forward
• plant: front-slight-right, slightly far
• brown door: front-right, slightly far, on right wall.
You have a maximum of 10 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You rotated counterclockwise 90°. You jumped to red door. You observe:
• scooter: front-left, slightly far, facing forward
• truck: front-left, mid distance, facing forward
• plant: front-slight-right, slightly far
• brown door: front-right, slightly far, on right wall.
You have a maximum of 10 exp...

I am back at the red door, facing East (into Room 1).
I see the "brown door" which leads to Room 3. It is "front-right" and "slightly far".
I need to go to Room 3.
The brown door is in my FOV.
I can JumpTo(brown door).
After jumping to the brown door, I should Observe to see what's in Room 3.
Note: "brown door" is on "right wall" relative to my current view (East). So the door is likely on the South wall of Room 1.
When I jump to the brown door, I will be at the door. I need to see *into* Room 3.
If I arrive at the brown door facing East (my current orientation), and the door is on the "right wall" (South), I will be looking along the wall, not through the door.
The door connects Room 1 (North) and Room 3 (South).
To look into Room 3, I should face South.
Current orientation: East.
I should JumpTo(brown door), then Rotate(90) (to face South), then Observe.
Wait, if I jump to the door, my orientation doesn't change. I'll be facing East.
The door is a vertical connection (front/back) or horizontal? "Rooms connect via doors on vertical (front/back) or horizontal (left/right) walls."
From Room 1 (facing South originally), brown door was "front" (South).
From Room 1 (facing West), brown door was not visible.
From Red Door (facing East into Room 1), brown door is "front-right" (South-East).
So the brown door is indeed on the South wall of Room 1.
To look into Room 3 (which is South of Room 1), I must face South.
So I will JumpTo(brown door), Rotate(90) to change from East to South, and Observe.

I am back at the red door, facing East (into Room 1).
I see the "brown door" which leads to Room 3. It is "front-right" and "slightly far".
I need to go to Room 3.
The brown door is in my FOV.
I can JumpTo(brown door).
After jumping to the brown door, I should Observe to see what's in Room 3.
Note: ...

THINK:
I need to construct the JSON map based on the observations and movements.
Initial State: Room 1, Pos (0,0), Facing North.

Observations & Actions Log:
1. **Start (0,0, N):** Observe().
* `scooter`: front-slight-right, mid distance. (Northeast-ish). Facing right (East).
* `teddybear`: front-left, slightly far. (Northwest-ish). Facing right (East).
2. **Rotate(90) -> (0,0, E):** Observe().
* Empty.
3. **Rotate(90) -> (0,0, S):** Observe().
* `plant`: front-left (Southeast). Mid distance.
* `brown door`: front-slight-right (South-ish). Mid distance. On front wall. (This implies it's on the South wall).
4. **Rotate(90) -> (0,0, W):** Observe().
* `truck`: front-slight-right (Northwest). Mid distance. Facing backward (East).
* `teddybear`: front-right (Northwest). Slightly far. Facing backward (East). (Seen before).
* `red door`: front (West). Slightly far. On front wall.
* Relation: truck is West, near to teddybear.
* Wait, from (0,0, W):
* Teddybear is front-right (North-West).
* Truck is front-slight-right (West-North-West).
* Relation says truck is West relative to teddybear (assuming facing North). Wait, the relation text says "Assume your current facing direction is called 'north': truck is west, near to teddybear." Current facing is West. So relative to West, truck is 'west' of teddybear? That means to the left of teddybear in global frame? Or does it mean in the temporary frame where 'north' = West? "Assume your current facing direction is called 'north'". So if I face West, 'north'=West. 'West' relative to that is South. So truck is South of teddybear?
* Let's check coordinates.
* Teddybear: seen from (0,0) facing N as front-left (NW). Seen from (0,0) facing W as front-right (NW). Consistent. Let's estimate coords. Slightly far (4-8m). Let's say (-2, 4) or similar.
* Truck: seen from (0,0) facing W as front-slight-right.
5. **JumpTo(red door):**
* From (0,0) facing W, red door is 'front', slightly far (4-8m). Let's assume red door is at (-4, 0).
* Now at `red door` (-4, 0). Facing West.
* Observe():
* `airplane`: front-right (NW). Slightly far. Facing forward (West).
* `laptop`: front-left (SW). Mid distance. Facing right (North).
* `backpack`: front-slight-right (W-NW). Slightly far. Facing backward (East).
* Relation (facing W='north'): airplane is 'east' (relative 'east' is North global?) near backpack.
6. **JumpTo(backpack):**
* Backpack was front-slight-right from (-4,0) facing W. So roughly (-6, 2) or (-8, 2).
* Observe (facing W): Empty.
7. **Rotate(90) -> Facing N:**
* Observe: `airplane`: front, near. Facing left (West).
* So airplane is just North of backpack.
8. **Rotate(90) -> Facing E:**
* Observe:
* `shoppingcart`: front-left (NE). Slightly far. Facing left (North).
* `laptop`: front-right (SE). Slightly far. Facing left (North).
* `red door`: front-slight-right (E-SE). Slightly far.
* This confirms backpack is West of red door.
9. **Rotate(-90) -> Facing S:** (Wait, action was Rotate(90) S -> Empty, then Rotate(-90) E -> Jump).
* Step 11 was Rotate(-90) to face East, JumpTo(red door).
* So I am back at `red door` (-4, 0).
10. **JumpTo(brown door):**
* From `red door` (-4, 0) facing E, `brown door` is front-right (SE).
* From (0,0) facing S, `brown door` was front-slight-right (South).
* Let's approximate positions.
* (0,0) is origin.
* `red door`: West of origin. Say (-4, 0).
* `brown door`: South of origin. Say (0, -4).
* JumpTo(brown door) -> Position (0, -4).
* Rotate(90) -> Face South.
* Observe():
* `green chair`: front (South). Mid dist. Facing left (East).
* `cap`: front (South). Slightly far. Facing forward (South).
* `toilet`: front-right (SW). Slightly far. Facing forward (South).
* `television`: front-right (SW). Slightly far. Facing backward (North).
* Relation (facing S='north'): green chair is 'south' (relative South = global North?) NO.
* "Assume your current facing direction is called 'north'". Current is South.
* So relative 'north' = South. Relative 'south' = North. Relative 'west' = East. Relative 'east' = West.
* "green chair is south, near to cap". Relative South is Global North. So green chair is North of Cap. Since both are South of me, Cap is further South.
* "green chair is west, near to toilet". Relative West is Global East. So green chair is East of Toilet.

Let's refine coordinates (Integer grid).
Origin (0,0).
**Room 1:**
* `scooter`: (0,0) N -> front-slight-right mid. Maybe (1, 3)? Facing East.
* `teddybear`: (0,0) N -> front-left slightly far. Maybe (-2, 4)? Facing East.
* `plant`: (0,0) S -> front-left mid. (Left of South is East). So (2, -2)? Wait. Facing South, Front-Left is South-East. So (2, -2).
* `brown door`: (0,0) S -> front-slight-right. Facing South, Right is West. So slightly West of South. ( -1, -4)? Or (0, -4)? Let's assume on axis (0, -4).
* `truck`: (0,0) W -> front-slight-right mid. Facing W, Right is N. So West-North. (-3, 1)? Facing East.
* `red door`: (0,0) W -> front slightly far. (-4, 0)?

**Room 2 (West of Room 1):**
* Enter via `red door` (-4, 0).
* `backpack`: Seen from door (facing W) as front-slight-right. Jumped to it. Seen from backpack (facing E) `red door` is front-slight-right.
* If `red door` is (-4, 0). Backpack is roughly West and North. Say (-7, 2).
* `airplane`: Seen from backpack (facing N) as front near. So (-7, 4). Facing West.
* `laptop`: Seen from backpack (facing E) as front-right. Facing E, right is S. So (-5, -1)? Or (-6, 0)?
* Seen from `red door` (facing W) as front-left (SW). (-6, -2)?
* `shoppingcart`: Seen from backpack (facing E) as front-left. Facing E, left is N. So (-5, 4)? Facing North.

**Room 3 (South of Room 1):**
* Enter via `brown door` (0, -4).
* From door (facing S):
* `green chair`: Front (S). Mid dist (3-4). (0, -7)? Facing East.
* `cap`: Front (S). Slightly far (5-6). (0, -9)? Facing South.
* Rel: Chair is North of Cap. (-7 vs -9). Correct.
* `toilet`: Front-right (SW). Slightly far. (-3, -8)? Facing South.
* Rel: Chair is East of Toilet. (0 vs -3). Correct.
* `television`: Front-right (SW). Slightly far. (-3, -7)? Facing North.

Let's verify distances and bins.
Mid distance: (2, 4]. Slightly far: (4, 8].
* Scooter (1,3): dist sqrt(10)=3.16 (Mid). Angle from N: atan2(3,1) is not right. Angle is atan2(x,y). atan2(1,3) = 18 deg. Bin: (0, 22.5] -> front-slight-right. OK.
* Teddybear (-2, 4): dist sqrt(20)=4.47 (Slightly Far). Angle atan2(-2, 4) = -26 deg. Bin: [-45, -22.5) -> front-left. OK.
* Plant (2, -3): From (0,0) S. vector (2, -3). local x' = -2, y' = -3 (relative to S). Actually local x (right) is -x_global. local y (front) is -y_global.
* Pos (2, -3). Agent (0,0) facing S.
* Rel pos: Forward=-3, Right=-2. Wait. Agent faces -y. Object at +x, -y. That is Left-Front.
* Angle: atan2(-x, -y) ?? No.
* Agent S. Front is -y. Right is -x.
* Obj (2, -3). Vector (2, -3).
* Project on Front: (-3). Project on Right: (-2).
* Angle atan2(Right, Front) = atan2(-2, 3) = -33 deg. Bin: front-left. OK.
* Dist sqrt(13)=3.6 (Mid). OK.
* Brown Door (0, -4): From (0,0) S. Vector (0, -4). Front 4. Right 0. Angle 0. Bin: Front. But observed "front-slight-right". Maybe (-1, -4)?
* If (-1, -4): Front 4, Right 1. Angle atan2(1, 4) = 14 deg. Bin: front-slight-right. Dist 4.12 (Slightly Far). Observed "Mid distance". 4.0 is edge. Maybe (0, -3) is mid, (0, -5) is slightly far. If (-1, -3), dist 3.16 (Mid). Angle 18 deg (front-slight-right). This fits perfectly. Let's use Brown Door = (-1, -3).
* Red Door (-4, 0): From (0,0) W. Vector (-4, 0). Front 4. Angle 0. Bin: Front. Dist 4. Observed "front, slightly far". Fits.

**Room 2:**
* Ref: Red Door (-4, 0).
* Backpack: From door (facing W), front-slight-right. Vector (-dx, dy).
* Let's put Backpack at (-7, 1).
* From (-4,0) facing W: Vector (-3, 1). Front 3, Right 1. Angle atan2(1,3)=18. F-S-R. Dist 3.16 (Mid). Observed "slightly far". Maybe (-8, 1)? Dist 4.12.
* Let's say Backpack (-8, 1).
* Airplane: Near backpack, facing left. From backpack (facing N), "front, near".
* If Backpack (-8, 1), Airplane (-8, 2). Dist 1. Near.
* From door (facing W): Airplane (-8, 2). Vector (-4, 2). Front 4, Right 2. Angle atan2(2,4)=26. Front-Right. Dist 4.47. Slightly far. Observed "front-right, slightly far". Fits.
* Laptop: From door (facing W), front-left. Vector (-dx, -dy).
* From backpack (-8, 1) facing E: front-right. Facing E, front is +x, right is +y (South). Wait. Facing E, Right is S (-y).
* So Laptop is East and South of Backpack. x > -8, y < 1.
* From door (-4, 0) facing W: Laptop is West and South. x < -4, y < 0.
* Let's try (-6, -2).
* From Door (-4, 0) W: Vector (-2, -2). Front 2, Left 2. Angle -45. Front-Left (or Left). 45 is border. Maybe (-6, -1)? Angle atan2(1, 2) = 26 deg left. Front-Left. Dist 2.23 (Mid). Fits.
* From Backpack (-8, 1) E: Vector (2, -2). Front 2, Right 2. Angle 45. Front-Right. Dist 2.8 (Mid). Observed "slightly far" from Backpack. Maybe (-5, -2)?
* Backpack (-8, 1) to (-5, -2): Vector (3, -3). Dist 4.24 (Slightly Far). Angle 45 (Front-Right). Fits.
* Door (-4, 0) to (-5, -2): Vector (-1, -2). Dist 2.23 (Mid). Angle atan2(2, 1) = 63 (Left). Observed "front-left". 22-45 is Front-Left. 63 is Left.
* Maybe Laptop is (-6, -2). Dist from door 2.8 (Mid). Angle 45. Dist from backpack (-8,1) to (-6,-2) is sqrt(4+9)=3.6 (Mid). Observed slightly far.
* Let's adjust Backpack to (-9, 1).
* Door to Backpack: (-5, 1). Dist 5.1. Slightly far. F-S-R. OK.
* Airplane (-9, 2). Near.
* Laptop (-5, -2). From Backpack: (4, -3). Dist 5. Slightly far. Front-Right. OK. From Door: (-1, -2). Dist 2.2. Front-Left? Angle atan2(2,1)=63 (Left).
* Let's try Laptop (-7, -1).
* From Door (-4,0): (-3, -1). Angle 18 (F-S-L). Dist 3.16 (Mid). Observed Front-Left (22-45). Need more angle. (-6, -2) was 45. (-7, -3)? Dist 3.6 (Mid). Angle 23. OK.
* From Backpack (-9, 1) to (-7, -3): (2, -4). Dist 4.47 (Slightly Far). Angle atan2(4, 2) = 63 (Right). Observed Front-Right. Need less angle.
* Compromise: Backpack (-8, 1). Airplane (-8, 2). Laptop (-6, -2).
* Laptop from Backpack: (2, -3). Front 2, Right 3. Angle 56. Too wide?
* Let's assume grid is integer.
* Maybe Laptop (-5, -1)? From Backpack (-8, 1): (3, -2). Dist 3.6 (Mid). Observed "slightly far".
* Let's stick with estimates.
* Shoppingcart: From Backpack (-8, 1) E: Front-Left (NE). Slightly far. (x > -8, y > 1).
* Try (-5, 4). Vector (3, 3). Dist 4.24 (SF). Angle 45 (FL). OK.

**Room 3:**
* Ref: Brown Door (-1, -3).
* Jump to door. Facing S.
* `green chair`: Front (S). Mid dist. (0, -7)?
* From (-1, -3) to (0, -7): Vector (1, -4). Front 4. Right -1 (Left 1). Angle 14 (F-S-L). Observed "front". Close enough. Dist 4.12 (SF). Observed "mid". Maybe (0, -6)? Dist 3.16 (Mid). Angle 18 (F-S-L). OK.
* Let's say Chair (0, -6).
* `cap`: Front, slightly far.
* From (-1, -3): (0, -8)? Dist 5.1 (SF). Angle 11 (F). OK.
* `toilet`: Front-right (SW). Slightly far.
* From (-1, -3): (-3, -7)? Vector (-2, -4). Front 4. Right 2. Angle 26 (F-R). Dist 4.47 (SF). OK.
* `television`: Front-right (SW). Slightly far.
* From (-1, -3): (-4, -6)? Vector (-3, -3). Angle 45 (F-R). Dist 4.24 (SF). OK.

**Final List:**
Agent: (-1, -3) facing South.
**Room 1:**
- Scooter (1, 3) Facing East.
- Teddybear (-2, 4) Facing East.
- Plant (2, -3).
- Truck (-3, 1) Facing East.
- Brown Door (-1, -3).
- Red Door (-4, 0).

**Room 2:**
- Backpack (-8, 1) Facing East.
- Airplane (-8, 2) Facing West.
- Laptop (-6, -2) Facing North.
- Shoppingcart (-5, 4) Facing North.

**Room 3:**
- Green Chair (0, -6) Facing East.
- Cap (0, -8) Facing South.
- Toilet (-3, -7) Facing South.
- Television (-4, -6) Facing North.

Let's check the relations.
- "truck is west, near to teddybear". Truck (-3, 1). Teddy (-2, 4). Truck is West (-1) and South (-3). "Near" usually means dist <= 2. Distance is sqrt(1+9)=3.16 (Mid). Not near.
- Maybe Truck is (-3, 3)? Teddy (-2, 4). Dist 1.41. Near.
- Check Truck obs: From (0,0) W. (-3, 3) -> Vector (-3, 3). Front 3, Right 3. Angle 45 (Front-Right). Observed "front-slight-right". 45 is F-R. F-S-R is 0-22.5.
- So Truck must be closer to X-axis relative to Teddy?
- If Truck (-4, 2) and Teddy (-3, 3)?
- From (0,0) W:
- Truck (-4, 2): Vector (-4, 2). Angle 26 (F-R).
- Teddy (-3, 3): Vector (-3, 3). Angle 45 (F-R).
- Still F-R, not F-S-R.
- To get F-S-R from W facing, object must be West-ish. Angle < 22.5.
- y < 0.4 * x.
- If Truck (-5, 1). Angle atan2(1,5)=11. F-S-R. OK.
- If Teddy (-2, 4) or (-3, 4). Angle atan2(4,3)=53 (Right). Observed "Front-Right". OK.
- Rel: Truck (-5, 1) vs Teddy (-3, 4). Dist sqrt(4+9)=3.6. Not near.
- Maybe Teddy is closer? Teddy (-4, 1)?
- From (0,0) N: Teddy (-4, 1). Front 1, Left 4. Angle 75. Beyond FOV? No, Left is 90. Front-Left is 22-67.
- From (0,0) W: Teddy (-4, 1). Front 4, Right 1. Angle 14. F-S-R. Observed F-R.
- There is some conflict in "Near" relation vs bins.
- "Near" <= 2.
- Truck West of Teddy.
- Let's place them: Teddy (-3, 1). Truck (-4, 1). Dist 1.
- From (0,0) N: Teddy (-3, 1). Angle atan2(3,1)=71 (Left). Obs Front-Left (22-67). Slightly off.
- From (0,0) W: Teddy (-3, 1). Angle atan2(1,3)=18 (F-S-R). Obs Front-Right (22-45).
- Let's ignore the exact "Near" constraint if it conflicts with bins, or assume my origin/scale is slightly off.
- I'll stick to the coordinates derived from bins, but try to keep them close.
- Teddy (-2, 4). Truck (-3, 3). Dist 1.41.
- Truck from (0,0) W: (-3, 3). Angle 45. Observed F-S-R. (Target < 22).
- How about Truck (-4, 1) and Teddy (-4, 2)?
- Truck from W: (-4, 1). Angle 14 (F-S-R). OK.
- Teddy from N: (-4, 2). Front 2, Left 4. Angle 63 (Left/F-L). OK.
- Teddy from W: (-4, 2). Front 4, Right 2. Angle 26 (F-R). OK.
- Rel: Truck is West of Teddy? (-4, 1) vs (-4, 2). Truck is South.
- "Assume facing is north (West)". Truck is 'west' (South). OK.
- "Near". Dist 1. OK.
- This works nicely.
- Truck (-4, 1). Teddy (-4, 2).

- "airplane is east, near to backpack".
- Backpack (-8, 1). Airplane (-7, 1)?
- From (0,0) W (Door -4,0):
- Backpack (-8, 1). Vector (-4, 1). Angle 14 (F-S-R). OK. Dist 4.12 (SF). OK.
- Airplane (-7, 1). Vector (-3, 1). Angle 18 (F-S-R). Observed F-R (22-45).
- Need Airplane to be more Right (North). Say (-7, 2).
- Vector (-3, 2). Angle 33 (F-R). OK.
- From Backpack (-8, 1) N:
- Airplane (-7, 2). Vector (1, 1). Front 1, Right 1. Angle 45 (F-R). Observed "Front, near".
- "Front" means angle < 22.
- Airplane must be (-8, 2) or (-8, 3).
- If Airplane (-8, 2). From Backpack (-8, 1): Vector (0, 1). Front 1. Angle 0. OK.
- From Door (-4, 0) W: Airplane (-8, 2). Vector (-4, 2). Angle 26 (F-R). OK.
- Rel: "airplane is east, near backpack". (Facing West='north'). 'East' means South?
- Or 'East' means global East?
- Usually "Assume your current facing... is north" implies local frame.
- Facing W. N'=W, E'=N, S'=E, W'=S.
- "Airplane is east". So Airplane is North of Backpack.
- Airplane (-8, 2), Backpack (-8, 1). Airplane is North. Correct.

- "green chair is south, near to cap" (Facing S='north').
- N'=S, E'=E, S'=N, W'=W.
- Chair is S' (North) of Cap. Chair y > Cap y.
- Chair (0, -6), Cap (0, -8). Correct.
- "green chair is west, near to toilet" (Facing S='north').
- W'=W (Global West? No).
- Facing S. North is S. East is E. South is N. West is W?
- If I face South: Right is West. Left is East.
- "North" (Front) = South.
- "East" (Right) = West.
- "South" (Back) = North.
- "West" (Left) = East.
- "Green chair is west" -> Green chair is East of Toilet?
- Chair (0, -6). Toilet (-3, -7). Chair is East. Correct.

Final Check of coordinates and facings.
Agent: (-1, -3), Facing South.
1. Scooter: (1, 3), Facing East.
2. Teddybear: (-4, 2), Facing East. (Adjusted).
3. Plant: (2, -3).
4. Brown Door: (-1, -3).
5. Truck: (-4, 1), Facing East. (Adjusted).
6. Red Door: (-4, 0).
7. Airplane: (-8, 2), Facing West. (Adjusted).
8. Laptop: (-6, -2), Facing North.
9. Backpack: (-8, 1), Facing East. (Adjusted).
10. Shoppingcart: (-5, 4), Facing North.
11. Green Chair: (0, -6), Facing East.
12. Cap: (0, -8), Facing South.
13. Toilet: (-3, -7), Facing South.
14. Television: (-4, -6), Facing North.

Re-check Plant position (-2, -3)?
From (0,0) S: Plant is Front-Left (SE).
(2, -3). Vector (2, -3). Front 3. Left 2. Angle atan(2/3)=33. Front-Left. OK.

One detail: "brown door... on front wall" (from S). "brown door... on right wall" (from E).
Door at (-1, -3)?
From (0,0) S: (-1, -3). Vector (-1, -3). Front 3, Right 1. Angle 18. Front-Slight-Right. OK.
From (-4, 0) E: (-1, -3). Vector (3, -3). Front 3, Right 3. Angle 45. Front-Right. OK.
Matches.

Construct JSON.

FINAL ANSWER:
```json
{
"agent": {"position": [-1, -3], "facing": "south"},
"scooter": {"position": [1, 3], "facing": "east"},
"teddybear": {"position": [-4, 2], "facing": "east"},
"plant": {"position": [2, -3]},
"brown door": {"position": [-1, -3]},
"truck": {"position": [-4, 1], "facing": "east"},
"red door": {"position": [-4, 0]},
"airplane": {"position": [-8, 2], "facing": "west"},
"laptop": {"position": [-6, -2], "facing": "north"},
"backpack": {"position": [-8, 1], "facing": "east"},
"shoppingcart": {"position": [-5, 4], "facing": "north"},
"green chair": {"position": [0, -6], "facing": "east"},
"cap": {"position": [0, -8], "facing": "south"},
"toilet": {"position": [-3, -7], "facing": "south"},
"television": {"position": [-4, -6], "facing": "north"}
}
```

THINK:
I need to construct the JSON map based on the observations and movements.
Initial State: Room 1, Pos (0,0), Facing North.

Observations & Actions Log:
1. **Start (0,0, N):** Observe().
* `scooter`: front-slight-right, mid distance. (Northeast-ish). Facing right (East).
* `teddybe...

{
  "agent": {
    "position": [
      -1,
      -3
    ],
    "facing": "south"
  },
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -4,
      2
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -3
    ]
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "truck": {
    "position": [
      -4,
      1
    ],
    "facing": "east"
  },
  "red door": {
    "position": [
      -4,
      0
    ]
  },
  "airplane": {
    "position": [
      -8,
      2
    ],
    "facing": "west"
  },
  "laptop": {
    "position": [
      -6,
      -2
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -8,
      1
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      0,
      -6
    ],
    "facing": "east"
  },
  "cap": {
    "position": [
      0,
      -8
    ],
    "facing": "south"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "television": {
    "position": [
      -4,
      -6
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -1,
      -3
    ],
    "facing": "south"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -1,
      -3
    ],
    "facing": "south"
  }
}

THINK:
I am currently at the brown door, facing South (which I am treating as North for the local map, or rather, the schema says "origin":"agent", +y is forward).
My global facing is South.
I see:
- green chair: front (mid distance). Front is +y. Mid distance is (2,4]. Let's estimate y=3. Position: [0, 3]. Facing: left. "Left" relative to me (facing South) is East. In local frame (facing +y), left is -x. So facing "-x".
- cap: front (slightly far). Slightly far is (4,8]. Let's say y=5. Position: [0, 5]. Facing: forward. Forward relative to me is South. Local: +y.
- toilet: front-right (slightly far). Front-right means +x, +y. Slightly far (4,8]. Let's say x=3, y=5. Position: [3, 5]. Facing: forward (local +y).
- television: front-right (slightly far). Let's say x=4, y=4. Position: [4, 4]. Facing: backward (local -y).

I need to confirm relationships provided:
"Assume your current facing direction is called 'north'" (This aligns with the local map +y).
"green chair is south, near to cap".
Wait. If I am facing "north" (local +y), and the chair is "south" of the cap...
My observation says:
Chair: front (y>0). Cap: front, slightly far (y>chair).
So Cap is further North (local) than Chair.
So Chair is South of Cap. This matches.
"green chair is west, near to toilet".
Chair is [0, y1]. Toilet is front-right (+x, y2).
So Chair (x=0) is West of Toilet (x>0). Matches.

Let's refine coordinates based on bins:
Distance bins:
Near (0,2] -> 1, 2
Mid (2,4] -> 3, 4
Slightly Far (4,8] -> 5, 6, 7, 8

Green chair: front, mid. Say [0, 3].
Cap: front, slightly far. Say [0, 6].
Toilet: front-right, slightly far. Say [4, 6].
Television: front-right, slightly far. Say [5, 5].

Let's check "green chair is west, near to toilet".
Chair [0,3], Toilet [4,6]. Distance sqrt(16+9)=5. "Near" usually means <=2.
This suggests my coordinates are too spread out or the "near" description implies they are closer.
Maybe Chair is [0, 4] and Toilet is [2, 4]?
"Toilet: front-right, slightly far". Dist > 4. [2,4] dist is sqrt(20) ~ 4.47. Correct.
"Green chair: front, mid". Dist <= 4. [0, 4] is 4. Correct.
"Chair is west, near to toilet". Dist between (0,4) and (2,4) is 2. "Near" is <= 2. Correct.
So:
Chair: [0, 4]
Toilet: [2, 4]

"Green chair is south, near to cap".
Cap: front, slightly far. Dist > 4.
Chair: [0, 4].
If Cap is [0, 6], dist is 2. Near.
Cap dist from agent: 6. Slightly far. Correct.
So:
Cap: [0, 6]

Television: front-right, slightly far.
Maybe near toilet? No relation given.
Let's put it at [3, 5]. Dist sqrt(9+25)=5.8. Slightly far.

Facings:
Green chair: facing left. Local -x.
Cap: facing forward. Local +y.
Toilet: facing forward. Local +y.
Television: facing backward. Local -y.

Final check:
Observation:
- green chair: front (local x=0, y>0), mid (2<d<=4). -> [0, 3] or [0, 4].
- cap: front (x=0, y>0), slightly far (4<d<=8). -> [0, 5] or [0, 6].
- toilet: front-right (x>0, y>0), slightly far. -> [2, 5] or [3, 4] etc.
- television: front-right (x>0, y>0), slightly far.

Relations:
- Chair south of Cap (Chair y < Cap y).
- Chair west of Toilet (Chair x < Toilet x).
- Chair near Cap (dy <= 2).
- Chair near Toilet (dx <= 2).

Let's pick:
Chair: [0, 3]
Cap: [0, 5] (dy=2, near. d_agent=5, sl far. Chair d_agent=3, mid. All good).
Toilet: [2, 3] (dx=2, near. d_agent=sqrt(13)=3.6, mid. Wait, toilet is 'slightly far' > 4).
So Toilet must be further.
If Toilet is [2, 4], d_agent=4.47 (sl far).
Chair [0, 4] (mid? No, 4 is mid. Limits are (2,4]).
So Chair [0, 4]. Cap [0, 6]. Toilet [2, 4].
Chair [0, 4] is mid? 4 is in (2, 4]. Yes.
Toilet [2, 4] is sl far? 4.47 is in (4, 8]. Yes.
Cap [0, 6] is sl far? 6 is in (4, 8]. Yes.
Chair near Cap? dist 2. Yes.
Chair near Toilet? dist 2. Yes.
Television? Just somewhere front-right, sl far. Say [3, 5].

FINAL ANSWER:
```json
{
"origin": "agent",
"objects": {
"green chair": {"position": [0, 4], "facing": "-x"},
"cap": {"position": [0, 6], "facing": "+y"},
"toilet": {"position": [2, 4], "facing": "+y"},
"television": {"position": [3, 5], "facing": "-y"}
}
}
```

THINK:
I am currently at the brown door, facing South (which I am treating as North for the local map, or rather, the schema says "origin":"agent", +y is forward).
My global facing is South.
I see:
- green chair: front (mid distance). Front is +y. Mid distance is (2,4]. Let's estimate y=3. Position:...

{
  "origin": "agent",
  "objects": {
    "green chair": {
      "position": [
        0,
        4
      ],
      "facing": "-x"
    },
    "cap": {
      "position": [
        0,
        6
      ],
      "facing": "+y"
    },
    "toilet": {
      "position": [
        2,
        4
      ],
      "facing": "+y"
    },
    "television": {
      "position": [
        3,
        5
      ],
      "facing": "-y"
    }
  }
}

{
  "cap": {
    "position": [
      0,
      6
    ],
    "facing": "south"
  },
  "toilet": {
    "position": [
      2,
      4
    ],
    "facing": "south"
  },
  "green chair": {
    "position": [
      0,
      4
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      4,
      6
    ],
    "facing": "north"
  }
}

{
  "origin": "agent",
  "objects": {
    "green chair": {
      "position": [
        0,
        4
      ],
      "facing": "-x"
    },
    "cap": {
      "position": [
        0,
        6
      ],
      "facing": "+y"
    },
    "toilet": {
      "position": [
        2,
        4
      ],
      "facing": "+y"
    },
    "television": {
      "position": [
        3,
        5
      ],
      "facing": "-y"
    }
  }
}

{
  "cap": {
    "position": [
      0,
      6
    ],
    "facing": "south"
  },
  "toilet": {
    "position": [
      2,
      4
    ],
    "facing": "south"
  },
  "green chair": {
    "position": [
      0,
      4
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      4,
      6
    ],
    "facing": "north"
  }
}

THINK:
I am currently at the brown door (represented by `*` on the map) facing South into Room 3.
The map shows Room 1 (top left area where I started), Room 2 (top right area, behind the red door), and Room 3 (bottom area where `*` is at the entrance).
My current position `*` is at the doorway between Room 1 and Room 3. I am facing South (down on the map).
I just observed:
- green chair: front (South)
- cap: front (South)
- toilet: front-right (South-West)
- television: front-right (South-West)

My FOV is 90 degrees facing South. This covers the area directly below me and slightly to the sides (South-East, South-West).
Looking at the candidates A-F in Room 3:
- My FOV (facing South) covers the central strip and the South-West quadrant relative to me?
Wait, "front-right" is South-West (since I am facing South, Right is West).
So I have seen "green chair" (South), "cap" (South), "toilet" (South-West), "television" (South-West).
I have *not* seen "front-left" (South-East).
Let's check the map coordinates visually.
The agent is at `*`.
Facing South (down).
FOV covers South (down) and angles +/- 45 deg.
So I can see things directly below `*` (like F, E) and to the right of the view (which is West on the map, left side of the room).
Wait, "front-right" means to my right. If I face South, my Right is West. So I see the West side of Room 3.
Candidates:
- A: West side, mid/far. Likely seen (toilet/tv area).
- D: South-West corner. Likely seen.
- E: Central. Likely seen (green chair/cap).
- F: Near central. Likely seen.
- B: South-East side. This corresponds to my "Left" (East). I haven't reported seeing anything "front-left".
- C: Far South-East/Central.
Let's re-read the observation.
"green chair: front"
"cap: front"
"toilet: front-right"
"television: front-right"
Nothing "front-left".
So the East side of Room 3 (my Left) is unobserved.
Candidate B is on the East side.
Candidate C is South-Central/East.
Candidate A is West.
Candidate D is West.
Candidate E is Central.
Candidate F is Central/North.

Wait, let's look at the map layout provided in the ASCII.
`*` is on the top wall of Room 3.
`F` is just below `*`.
`E` is below `F`.
`A` is to the left of `E` (West).
`D` is below `A` (South-West).
`B` is to the right of `D` (East side).
`C` is below `B`? No, `C` is in the bottom middle/right.

Observations:
- Green chair (Front): likely E or F or between.
- Cap (Front): likely further down.
- Toilet/TV (Front-Right): likely A or D area (West).

So A, D, E, F are likely observed.
B and C are on the East (Left) side or deep South.
If I face South, "Front" covers the middle column. "Front-Right" covers the West columns. "Front-Left" covers the East columns.
I did not see any objects Front-Left. This suggests the East side might be empty of objects, or I just didn't see them.
However, the question asks for "unexplored/unobserved regions".
The regions `B` and `C` are in the South-East / South sector.
If I haven't seen anything "front-left", and `B` is situated in the East part of the room, it's possible `B` is unobserved if it's outside the FOV cone or blocked? No obstacles mentioned.
FOV is 90 degrees. Facing South.
I see South (0 deg) to South-West (-45 deg) and South-East (+45 deg)?
No, "front-right" is (0, 45]. "front-left" is [-45, 0).
Wait, standard angle: 0 is front.
If I face South:
Front is South.
Right is West.
Left is East.
Front-Right is South-West.
Front-Left is South-East.
I saw Front and Front-Right.
I did *not* see Front-Left.
Therefore, the South-East region is unobserved or empty.
Candidate `B` is in the East/South-East area.
Candidate `C` is in the South/South-East area.
Candidate `F` is Front (observed).
Candidate `E` is Front (observed).
Candidate `A` is West (observed).
Candidate `D` is West (observed).

So `B` and `C` are likely in the unobserved region (Front-Left). Or `C` might be "beyond FOV" distance-wise? "cap" is "slightly far". Room seems 8x8ish? "Slightly far" is 4-8. That covers most of the room.
But definitely the direction "Front-Left" (East side of Room 3) was not reported.
So points located in the East side are unobserved.
Looking at the map:
`B` is clearly on the East side.
`C` is bottom center/right.
`F`, `E`, `A`, `D` are Center or West.

So `B` and `C` are the best candidates for unobserved regions.

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

THINK:
I am currently at the brown door (represented by `*` on the map) facing South into Room 3.
The map shows Room 1 (top left area where I started), Room 2 (top right area, behind the red door), and Room 3 (bottom area where `*` is at the entrance).
My current position `*` is at the doorway betwe...

###############
#......#......#
#......#......#
#......#......#
#......+......#
#......#......#
#......#......#
###########*###
######....F.###
######.AE...###
######......###
######D....B###
######......###
######...C..###
###############

You jumped to brown door. You rotated clockwise 90°. You observe:
• green chair: front, mid distance, facing left
• cap: front, slightly far, facing forward
• toilet: front-right, slightly far, facing forward
• television: front-right, slightly far, facing backward
Assume your current facing direction is called "north":
• green chair is south, near to cap
• green chair is west, near to toilet.
You have a maximum of 9 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to brown door. You rotated clockwise 90°. You observe:
• green chair: front, mid distance, facing left
• cap: front, slightly far, facing forward
• toilet: front-right, slightly far, facing forward
• television: front-right, slightly far, facing backward
Assume your current facing direct...

I am at the brown door, facing South into Room 3.
I see a green chair, cap, toilet, and television.
I have explored the "North" part of Room 3 (which is what I see from the door facing South).
I need to check the rest of Room 3 (East, West, South relative to the room center, or simply rotate to cover the FOV).
From the door, I can see "front" (South), "front-right" (South-West).
I haven't seen "front-left" (South-East) or the sides fully.
To best map the room, I should move inside to a central object or just scan from the door if possible. But standing in the doorway limits the view to 180 degrees into the room at best if I rotate.
Moving to an object is safer to get full coverage.
"green chair" is "front, mid distance".
"cap" is "front, slightly far".
"toilet" is "front-right".
"television" is "front-right".
I'll JumpTo(green chair) which seems central ("front").
From the green chair, I can rotate to scan the room.
Action: JumpTo(green chair), Observe().

I am at the brown door, facing South into Room 3.
I see a green chair, cap, toilet, and television.
I have explored the "North" part of Room 3 (which is what I see from the door facing South).
I need to check the rest of Room 3 (East, West, South relative to the room center, or simply rotate to cove...

THINK:
I need to construct the cognitive map based on all observations and movements so far.

**Initial State:**
- Agent at (0,0), facing North (Room 1).

**Step 1: Observe (North in Room 1)**
- `scooter`: front-slight-right, mid distance (2-4m). Facing right (East).
- Agent facing North. Scooter is roughly NNE/NE. Let's estimate coordinates. "front-slight-right" is 0-22.5 deg. "mid distance" is ~3 units.
- Approx (1, 3).
- `teddybear`: front-left, slightly far (4-8m). Facing right (East).
- Agent facing North. Teddybear is NNW/NW. ~5 units.
- Approx (-2, 5).

**Step 2: Rotate 90 (Face East)**
- Observed: Nothing.

**Step 3: Rotate 90 (Face South)**
- `plant`: front-left, mid distance.
- Agent facing South. Front-left is South-East. ~3 units.
- Approx (2, -2).
- `brown door`: front-slight-right, mid distance, on front wall.
- Agent facing South. Front-slight-right is South-West/South. ~3 units.
- Approx (-1, -3). Door to Room 3.

**Step 4: Rotate 90 (Face West)**
- `truck`: front-slight-right, mid distance. Facing backward (East).
- Agent facing West. Front-slight-right is North-West. ~3 units.
- Approx (-3, 1).
- `teddybear`: front-right, slightly far. Facing backward (East).
- Matches previous teddybear.
- `red door`: front, slightly far, on front wall.
- Agent facing West. Front is West. ~5 units.
- Approx (-5, 0). Door to Room 2.
- Relation: truck is west, near to teddybear.
- Teddybear (-2, 5). Truck (-3, 1) doesn't match "near". Maybe coordinates are different.
- Let's re-evaluate based on "truck is west, near to teddybear".
- If Teddy is at (-2, 5), Truck West of it would be (-4, 5).
- Let's check observations again.
- Step 1: Teddy (North view) -> Front-Left (NW). Slightly far (4-8).
- Step 4: Teddy (West view) -> Front-Right (NW). Slightly far (4-8). Consistent.
- Step 4: Truck (West view) -> Front-Slight-Right (WNW). Mid dist (2-4).
- Relation: "truck is west, near to teddybear".
- If Teddy is at (-2, 3) (mid-far?), Truck is at (-4, 3)?
- Let's refine.

**Step 5: Jump to `red door`**
- Agent at `red door` (-5, 0). Facing West.
- Observe:
- `airplane`: front-right, slightly far. Facing forward (West).
- From door (-5,0) facing West. Front-right is NW. ~5 units.
- Position: (-5-3, 0+4) -> (-8, 4).
- `laptop`: front-left, mid distance. Facing right (North).
- From door (-5,0) facing West. Front-left is SW. ~3 units.
- Position: (-5-2, 0-2) -> (-7, -2).
- `backpack`: front-slight-right, slightly far. Facing backward (East).
- From door (-5,0) facing West. Front-slight-right is WNW. ~5 units.
- Position: (-5-4, 0+1) -> (-9, 1).
- Relation: "airplane is east, near to backpack".
- Airplane (-8, 4), Backpack (-9, 1). Not very "East". Maybe Airplane is (-8, 1) and Backpack is (-9, 1).
- Observation from door: Airplane (front-right, slightly far), Backpack (front-slight-right, slightly far).
- They are close in angle.

**Step 6: Jump to `backpack`**
- Agent at `backpack` (-9, 1). Facing West.
- Observe: Nothing.

**Step 7: Rotate 90 (Face North)**
- Observe: `airplane`: front, near. Facing left (West).
- Agent at (-9, 1) facing North.
- Airplane is Front (North) and Near (0-2).
- So Airplane is at (-9, 2) or (-9, 3).
- This matches "airplane is east, near to backpack" roughly? No, if airplane is (-9, 3) and backpack is (-9, 1), airplane is North of backpack.
- Wait, relation said "airplane is east, near to backpack".
- Agent facing North (in description of relation).
- Let's re-read Step 5 relation: "Assume your current facing direction is called 'north': airplane is east, near to backpack."
- Step 5 facing was West. So "North" means West. "East" means North.
- So Airplane is North of Backpack. Matches my deduction (-9, 3 vs -9, 1).

**Step 8: Rotate 90 (Face East)**
- Observe:
- `shoppingcart`: front-left, slightly far. Facing left (North).
- Agent at (-9, 1) facing East.
- Front-left is NE. ~5 units.
- Position: (-9+4, 1+3) -> (-5, 4).
- `laptop`: front-right, slightly far. Facing left (North).
- Agent at (-9, 1) facing East.
- Front-right is SE. ~5 units.
- Position: (-9+4, 1-3) -> (-5, -2).
- Matches previous laptop estimate (-7, -2). Let's say (-6, -2).
- `red door`: front-slight-right, slightly far.
- Agent at (-9, 1) facing East.
- Door is East. Matches (-5, 0).

**Step 9: Rotate 90 (Face South)**
- Observe: Nothing.

**Step 10: Rotate -90, Jump to `red door`**
- Agent at `red door` (-5, 0). Facing East.
- Observe:
- `scooter`: front-left, slightly far. Facing forward (South? No, scooter facing right=East).
- Agent facing East. Front-left is NE.
- Matches earlier scooter (1, 3).
- `truck`: front-left, mid distance. Facing forward (South? No, facing backward=East).
- Agent facing East. Front-left is NE.
- Matches earlier truck (-3, 1).
- `plant`: front-slight-right, slightly far.
- Agent facing East. Front-slight-right is SE.
- Matches earlier plant (2, -2).
- `brown door`: front-right, slightly far.
- Agent facing East. Front-right is SE/South.
- Matches earlier brown door (-1, -3).

**Step 11: Jump to `brown door`, Rotate 90**
- Agent at `brown door` (-1, -3). Facing South.
- Observe:
- `green chair`: front, mid distance. Facing left (East).
- Agent facing South. Front is South. ~3 units.
- Position: (-1, -3-3) -> (-1, -6).
- `cap`: front, slightly far. Facing forward (South).
- Agent facing South. Front is South. ~5 units.
- Position: (-1, -8).
- `toilet`: front-right, slightly far. Facing forward (South).
- Agent facing South. Front-right is SW. ~5 units.
- Position: (-1-3, -3-4) -> (-4, -7).
- `television`: front-right, slightly far. Facing backward (North).
- Agent facing South. Front-right is SW.
- Position: (-4, -7) area.
- Relations (Assume current facing 'north' i.e. South):
- "green chair is south, near to cap".
- "North"=South. "South"=North.
- So Green Chair is North of Cap.
- Chair (-1, -6), Cap (-1, -8). Matches.
- "green chair is west, near to toilet".
- "North"=South. "West"=East.
- So Green Chair is East of Toilet.
- Chair (-1, -6), Toilet (-4, -7) (SW of chair). Chair is East of Toilet. Matches.

**Step 12: Jump to `green chair`**
- Agent at `green chair` (-1, -6). Facing South (inherited from jump).
- Observe: `cap`: front, near. Facing forward (South).
- Agent at (-1, -6) facing South.
- Cap is Front (South) and Near (0-2).
- Cap position: (-1, -7) or (-1, -8). Consistent.

**Coordinates Summary:**
- **Agent**: At `green chair` (-1, -6). Facing South.
- **Room 1**:
- `scooter`: (1, 3). Facing East.
- `teddybear`: (-2, 5). Facing East.
- `plant`: (2, -2).
- `truck`: (-3, 1). Facing East.
- `brown door`: (-1, -3).
- `red door`: (-5, 0).
- **Room 2** (West of red door):
- `airplane`: (-9, 3). Facing West.
- `backpack`: (-9, 1). Facing East.
- `laptop`: (-6, -2). Facing North.
- `shoppingcart`: (-5, 4). Facing North.
- **Room 3** (South of brown door):
- `green chair`: (-1, -6). Facing East.
- `cap`: (-1, -8). Facing South.
- `toilet`: (-4, -6). Facing South.
- `television`: (-5, -7). Facing North.

Refining coordinates based on bins and grids:
Let's stick to integers.
Agent start (0,0).
Room 1:
- `scooter`: (2, 2) ?
- `teddybear`: (-2, 4) ?
- `truck`: (-2, 1) ?
- `plant`: (2, -2) ?
- `brown door`: (0, -4) ? Or (-1, -3)? Let's use (-1, -3) for now.
- `red door`: (-4, 0) ? Or (-5, 0)? Let's use (-4, 0).

Room 2 (Door at -4, 0):
- `backpack`: (-8, 1).
- `airplane`: (-8, 3).
- `shoppingcart`: (-5, 3).
- `laptop`: (-6, -2).

Room 3 (Door at -1, -3):
- `green chair`: (-1, -6).
- `cap`: (-1, -8).
- `toilet`: (-4, -6).
- `television`: (-4, -8).

Let's format the JSON.

FINAL ANSWER:
```json
{
"agent": {"position": [-1, -6], "facing": "south"},
"scooter": {"position": [2, 3], "facing": "east"},
"teddybear": {"position": [-2, 5], "facing": "east"},
"plant": {"position": [2, -2]},
"truck": {"position": [-3, 1], "facing": "east"},
"brown door": {"position": [-1, -3]},
"red door": {"position": [-5, 0]},
"airplane": {"position": [-9, 3], "facing": "west"},
"backpack": {"position": [-9, 1], "facing": "east"},
"laptop": {"position": [-6, -2], "facing": "north"},
"shoppingcart": {"position": [-5, 4], "facing": "north"},
"green chair": {"position": [-1, -6], "facing": "east"},
"cap": {"position": [-1, -8], "facing": "south"},
"toilet": {"position": [-4, -6], "facing": "south"},
"television": {"position": [-5, -7], "facing": "north"}
}
```

THINK:
I need to construct the cognitive map based on all observations and movements so far.

**Initial State:**
- Agent at (0,0), facing North (Room 1).

**Step 1: Observe (North in Room 1)**
- `scooter`: front-slight-right, mid distance (2-4m). Facing right (East).
- Agent facing North. Scooter ...

{
  "agent": {
    "position": [
      -1,
      -6
    ],
    "facing": "south"
  },
  "scooter": {
    "position": [
      2,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      5
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ]
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "airplane": {
    "position": [
      -9,
      3
    ],
    "facing": "west"
  },
  "backpack": {
    "position": [
      -9,
      1
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -6,
      -2
    ],
    "facing": "north"
  },
  "shoppingcart": {
    "position": [
      -5,
      4
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -6
    ],
    "facing": "east"
  },
  "cap": {
    "position": [
      -1,
      -8
    ],
    "facing": "south"
  },
  "toilet": {
    "position": [
      -4,
      -6
    ],
    "facing": "south"
  },
  "television": {
    "position": [
      -5,
      -7
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -1,
      -7
    ],
    "facing": "south"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -1,
      -7
    ],
    "facing": "south"
  }
}

THINK:
I am currently at the "green chair" in Room 3, facing South.
I observed "cap: front, near, facing forward".
"front" means +y relative to me. "near" means distance interval (0, 2]. Let's say y=2. So cap at (0, 2).
"facing forward" means the cap is facing the same direction as me (South). Relative to my frame (+y), the cap is facing +y.

Wait, looking back at the observation from the door:
"green chair" was "front, mid distance".
"cap" was "front, slightly far".
So cap is further south than the chair.
From the chair (facing South), cap is "front, near". This is consistent.
So in my local frame (origin=agent/chair, facing +y):
- cap: position roughly [0, 2]. Facing: +y.

Only 'cap' is mentioned in the current observation.
Wait, are there other objects? The previous observation showed toilet and TV to the right. But now I am at the green chair. If I didn't rotate, I am facing South.
The toilet and TV were "front-right" from the door. From the green chair (which was "front" from the door), they should be to the right (-x? No, right is +x).
Wait, from door (facing South): Chair is Front (South). Toilet is Front-Right (South-West).
So from Chair (facing South), Toilet should be Right (West).
My FOV is 90 degrees (Front). So Right is not in FOV.
So I only see 'cap'.

Constructing the JSON:
Agent is origin.
Object: "cap".
Position: [0, 2] (approximate "near").
Facing: "forward" -> +y.

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"cap": {"position": [0, 2], "facing": "+y"}
}
}

THINK:
I am currently at the "green chair" in Room 3, facing South.
I observed "cap: front, near, facing forward".
"front" means +y relative to me. "near" means distance interval (0, 2]. Let's say y=2. So cap at (0, 2).
"facing forward" means the cap is facing the same direction as me (South). Relat...

{
  "origin": "agent",
  "objects": {
    "cap": {
      "position": [
        0,
        2
      ],
      "facing": "+y"
    }
  }
}

{
  "cap": {
    "position": [
      0,
      2
    ],
    "facing": "south"
  }
}

{
  "origin": "agent",
  "objects": {
    "cap": {
      "position": [
        0,
        2
      ],
      "facing": "+y"
    }
  }
}

THINK:
I need to identify which of the labeled points (A, B, C, D, E, F) are in unexplored areas based on my exploration so far.

**My Exploration History:**
1. **Room 1:** Starting room. (0,0) is origin. I scanned North (scooter, teddybear), East (empty), South (plant, brown door), West (truck, teddybear, red door). Room 1 is fully mapped.
2. **Room 2:** Accessed via Red Door (West). I jumped to the Red Door, then to the Backpack. From the Backpack, I scanned West (empty), North (airplane), East (shoppingcart, laptop, red door), South (empty). Room 2 is fully mapped.
3. **Room 3:** Accessed via Brown Door (South of Room 1). I jumped to the Brown Door and faced South. I saw: green chair (front), cap (front), toilet (front-right), television (front-right). I then jumped to the **green chair**.
* **Current Position:** At the green chair.
* **Current View:** I just observed "cap: front, near". Since I jumped to the green chair (which was South of the door) without rotating, and I was facing South at the door, I am still facing **South**.
* **Observation from Green Chair (facing South):** I see the "cap" in front (South).

**Map Analysis:**
* The map shows three rooms.
* Top-left: Likely Room 2 (West of Room 1).
* Top-right: Likely Room 1 (Start).
* Bottom: Likely Room 3 (South of Room 1).
* **Room 1 (Top-Right):** Fully explored.
* **Room 2 (Top-Left):** Fully explored.
* **Room 3 (Bottom):** I entered from the North (Brown Door, marked `+` between the top and bottom sections). I am currently at `*` (Green Chair).
* Wait, the `*` is at `(row 11, col 11)` approx? Let's count.
* Map Dimensions: 15x15.
* Origin (0,0) is bottom-left.
* `*` is at `x=11, y=3` (approx).
* The brown door is at `y=7` or `y=8`.
* I am facing South.
* I see the "cap" in front (South).
* I previously saw "toilet" and "television" to the "front-right" (South-West) from the door. From the green chair (which is south of the door), these should be to the West or South-West.
* I have *not* scanned East or West from the green chair yet. I only just arrived and observed "front" (South).
* So, the areas to the East and West of the green chair in Room 3 are largely unverified from this new vantage point, although I saw some objects from the door.
* From the door (looking South), I saw:
* Green chair (front/South)
* Cap (front/South, further than chair)
* Toilet (front-right/South-West)
* TV (front-right/South-West)
* I did *not* see anything to the "front-left" (South-East) from the door. The report didn't mention anything there. It might be empty or obstructed.

**Evaluating Candidates:**
* **Room 3 Layout:** The bottom section of the map.
* `+` is the door from Room 1.
* `*` is my position (Green Chair).
* Candidates A, B, C, D, E, F are in this room.
* **Positions:**
* `D`, `E`, `A` are in the row below the door (North part of Room 3).
* `D` is West-ish.
* `E` is Central-ish.
* `A` is East-ish.
* `B` is below `D` (West-ish, middle).
* `F` is below `E` (Central, near `*`?). `*` is below `F`? Or is `*` `C`?
* Map shows `*` at the bottom right of the cluster? No, `*` is `x=11, y=3`.
* `C` is `x=13, y=4`? East of `*`.
* `F` is `x=9, y=4`? West/North-West of `*`.
* `B` is `x=6, y=5`? Far West.
* `D`, `E`, `A` are top row of Room 3 (y=6?).
* `D`: Left (West).
* `E`: Center.
* `A`: Right (East).

* **Visibility Analysis:**
* **From Door (facing South):** I saw Green Chair (Center), Cap (South), Toilet (SW), TV (SW).
* Area `D` (NW corner of Room 3): This is "front-right" from the door? No, door is North. Facing South.
* Right is West. Left is East.
* "front-right" is South-West.
* "front-left" is South-East.
* I saw objects in Front (S) and Front-Right (SW).
* I did *not* report seeing anything in Front-Left (SE).
* So the SE area (Area `A`? No, `A` is top right of Room 3, i.e., NE corner of Room 3. Area `C` is SE corner?) is likely unexplored or empty.
* **From Green Chair (facing South):**
* I see "cap" (South).
* My FOV is South. I cannot see East (`C`), West (`B`, `F`?), or North (`D`, `E`, `A`).
* The area behind me (North) and to the sides (East/West) from the chair is currently unobserved from this position, *but* I saw some of it from the door.
* **From Door:** I saw the cone to the South.
* I saw the Green Chair (where I am).
* I saw the Cap (South of me).
* I saw Toilet/TV (SW).
* I did *not* see anything in the SE (Left from door).
* I did *not* see the corners explicitly (NW, NE) unless they were in the FOV. The FOV is 90 deg. From the door, I see a cone.
* The corners `D` (NW) and `A` (NE) are along the wall where the door is. They are "left" and "right" relative to the agent standing *at* the door facing South?
* No, facing South, "right" is West, "left" is East.
* The "front-right" bin covers (22.5, 67.5). It sees SW.
* The "front-left" bin covers (-67.5, -22.5). It sees SE.
* The "right" bin (67.5, 112.5) covers West. (Not in FOV of Observe() unless looking that way).
* The door observation is 90 degrees centered on South. Range: SE to SW.
* It likely misses the hard corners `D` (NW) and `A` (NE) which are *along the wall* I was standing on (the North wall of Room 3).
* It definitely missed `A` (NE) if I didn't see anything "front-left".
* It missed `D` (NW) if I didn't see anything "front-right" *close* to the wall (Toilet/TV were "slightly far", so likely deeper in the room).
* **Conclusion:**
* `A` (Top Right/NE of Room 3): Unexplored.
* `D` (Top Left/NW of Room 3): Unexplored (likely).
* `E` (Top Center): I passed through here or jumped over it? I jumped from Door to Green Chair. Path is clear. But is the *area* `E` observed? It's right in front of the door. I likely saw through it.
* `B` (Mid West): I saw Toilet/TV in SW. `B` is likely in that direction.
* `F` (Center West): Likely seen.
* `C` (Mid East/SE): I saw nothing to the left (SE) from the door. Now I am at the chair facing South. I can't see East (`C`). So `C` is unexplored.

* **Refining Unexplored:**
* `A` (NE corner): I haven't looked East from the door or North-East from the chair. From the door (facing South), NE is out of FOV. From chair (facing South), NE is behind. **Unexplored.**
* `C` (SE area): I haven't looked East from the chair. From the door, I saw nothing in SE. It might be empty, but it's "unobserved" in the sense that I haven't confirmed it's empty? Wait, "Observe" reports "No objects" if empty. But if it's out of FOV, it's unknown.
* From door facing South, SE is in the "front-left" sector. If I saw nothing, I would report "No objects" or just list what I saw. I listed chair, cap, toilet, TV. If nothing was listed for "front-left", it means either it's empty or I missed it. Usually, "empty" is observed space. But FOV is limited.
* However, `C` is to the side of the chair. I am currently facing South. I definitely don't see `C` (East). I haven't rotated yet. **Unexplored.**
* `D` (NW corner): Similar to `A`. Out of FOV from door (too wide). Behind me now. **Unexplored.**
* `E` (North Center): Between Door and Chair. I jumped through it. I saw the Chair *through* it. It is observed space (empty).
* `B` (West): I saw Toilet/TV in "front-right" (SW). `B` is likely in that vector. It's partially observed.
* `F` (Center West): Near `B`. Partially observed.

* Selection: `A` (NE), `C` (East/SE), `D` (NW). `B` is likely observed (Toilet/TV area). `E` is observed (path to chair). `F` is likely observed.
* Actually, let's look at the map strictly. `D`, `E`, `A` are in the row *just below* the wall.
* The FOV is a cone.
* From door `(x, y)` facing South `(0, -1)`:
* I see `(x, y-1)`, `(x-1, y-2)`, `(x+1, y-2)`, etc.
* Cells immediately adjacent to the door wall on the sides (A and D) are often skipped by the 45-degree cone start.
* So `A` and `D` are definitely unexplored.
* `C` is East of the chair. From door, it's SE. Distance is mid/far. It *might* be in the cone, but usually, the corners are the hardest to see.
* `B` is West. I saw objects there.
* `C`: I saw *nothing* to the left. If `C` contained an object, I would have seen it if it was in FOV. If it's empty, I "observed" emptiness? Or is the sector completely blind?
* Usually, if I haven't rotated to face East/West, the side areas are considered unexplored.
* So `A`, `C`, `D` are the best candidates.

* Let's check `E` and `F`.
* `E` is directly front of the door. Seen.
* `F` is near `B`. Likely seen with the Toilet/TV.
* So, `A`, `C`, `D`.

FINAL ANSWER:
```json
{
"unexplored": ["A", "C", "D"]
}
```

THINK:
I need to identify which of the labeled points (A, B, C, D, E, F) are in unexplored areas based on my exploration so far.

**My Exploration History:**
1. **Room 1:** Starting room. (0,0) is origin. I scanned North (scooter, teddybear), East (empty), South (plant, brown door), West (truck, te...

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

You jumped to green chair. You observe:
• cap: front, near, facing forward.
You have a maximum of 8 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]

You jumped to green chair. You observe:
• cap: front, near, facing forward.
You have a maximum of 8 exploration steps left.
Strictly follow this format:
THINK:
[Your thoughts on next step actions]
FINAL ANSWER:
Actions: [ ... ]...

I am at the green chair, facing South (inherited from jump).
I see the cap (front).
I need to scan the other directions (East, North, West).
I'll rotate 90 degrees clockwise (to face West) and Observe.

I am at the green chair, facing South (inherited from jump).
I see the cap (front).
I need to scan the other directions (East, North, West).
I'll rotate 90 degrees clockwise (to face West) and Observe....

THINK:
I need to construct the JSON map of the environment based on my observations.
Initial Position: (0,0), facing North.

**Observations:**
1. **Pos (0,0), Facing North:**
* `scooter`: front-slight-right, mid distance (approx >2, <=4). Facing right (East).
* North is +y. Front-slight-right is approx NNE.
* Let's estimate coordinates. "mid distance" ~ 3 units. Angle ~ 15-20 deg right.
* `scooter` approx at (1, 3). Facing: East.
* `teddybear`: front-left, slightly far (approx >4, <=8). Facing right (East).
* Front-left is approx NNW. Distance ~ 5.
* `teddybear` approx at (-2, 5). Facing: East.

2. **Pos (0,0), Rotate 90 -> Facing East:**
* Empty.

3. **Pos (0,0), Rotate 90 -> Facing South:**
* `plant`: front-left, mid distance.
* Facing South (-y). Front-left is Left of South = East? No, ego left.
* South is -y. Left is East (+x). Front is -y. Front-left is South-East.
* Actually, relative to agent facing South: Front is South. Left is East.
* So `plant` is South-East.
* Distance ~ 3. Approx (2, -2).
* `brown door`: front-slight-right, mid distance. On front wall.
* Facing South. Front is South. Right is West. Front-slight-right is South-South-West.
* Since it's on the "front wall" (South wall), it's likely just South.
* Let's place `brown door` at (0, -3) or (-1, -3).

4. **Pos (0,0), Rotate 90 -> Facing West:**
* `truck`: front-slight-right, mid distance. Facing backward.
* Facing West (-x). Front is West. Right is North. Front-slight-right is WNW.
* Distance ~ 3. Approx (-3, 1). Facing Backward (relative to agent facing West) -> East.
* `teddybear`: front-right, slightly far. Facing backward.
* Facing West. Right is North. Front-right is NW.
* Matches previous `teddybear` sighting (NNW from origin).
* Facing Backward -> East. Consistent.
* `red door`: front, slightly far. On front wall.
* Facing West. Front is West.
* Distance ~ 5. `red door` at (-5, 0).

* *Relation*: `truck` is West, near to `teddybear`.
* Wait, `truck` at (-3, 1), `teddybear` at (-2, 5). "Near" is dist <= 2.
* Let's adjust. Maybe `teddybear` is closer to truck.
* From origin (facing N), `teddybear` was front-left (NNW), slightly far (4-8). Say (-2, 4).
* From origin (facing W), `truck` is front-slight-right (WNW), mid (2-4). Say (-3, 1).
* Are they near? (-2,4) to (-3,1) is dist sqrt(1+9) = 3.16. Not "near".
* Maybe `truck` is further North or `teddybear` further South?
* Relation says "truck is west, near to teddybear". This implies truck has smaller X (more negative) than teddybear, and they are close.
* Let's put `teddybear` at (-2, 2) and `truck` at (-4, 2)?
* Check obs 1: (0,0) facing N. `teddybear` at (-2, 2) would be front-left, "near" or "mid". Obs said "slightly far" (>4). This contradicts.
* Maybe coordinates are scaled up.
* Let's assume "slightly far" is ~5. `teddybear` at (-2, 5).
* `truck` at (-3, 5)? "truck is west near teddybear".
* Check obs 4: (0,0) facing W. `truck` at (-3, 5).
* Agent at (0,0) facing W. `truck` relative pos is (-3, 5).
* Forward is -x. Right is +y.
* Local x (forward) = 3. Local y (right) = 5.
* Angle: atan(5/3) = 59 deg. This is "front-right" (>22.5).
* Obs said `truck` is "front-slight-right" (0-22.5). This means `truck` is more West than North.
* So `truck` y coordinate is small. Say y=1. x=-3.
* If `truck` is at (-3, 1), then `teddybear` must be near (-3, 1).
* But `teddybear` is "slightly far" from (0,0) facing N (dist > 4).
* Contradiction? Or maybe my "slightly far" range interpretation is rigid.
* Let's trust the relations more. `truck` is west of `teddybear` and near.
* `teddybear` is visible from (0,0) facing N (front-left).
* `truck` is visible from (0,0) facing W (front-slight-right).
* Let's place `teddybear` at (-1.5, 4.5). `truck` at (-3, 4.5)?
* (0,0) facing W -> (-3, 4.5) is front-right. Obs said `truck` is front-slight-right.
* Okay, maybe `truck` is (-4, 1.5) and `teddybear` is (-3, 3)? "Near" is <= 2. Distance is ~1.8.
* (0,0) facing N to (-3, 3): dist 4.2 (slightly far). Angle: atan(-3/3) = -45 (front-left). Matches `teddybear` obs 1.
* (0,0) facing W to (-4, 1.5): dist 4.3 (slightly far). Obs 4 said `truck` is "mid distance" (2-4). Maybe (-3.5, 1)?
* Let's stick to rough topology. `red door` is West. `brown door` is South.

5. **Jump to `red door` (approx -5, 0). Facing West.**
* `airplane`: front-right, slightly far. Facing forward.
* Facing West. Front-right is NW.
* Position: (-5 - 4, 0 + 3) -> (-9, 3). Facing: West.
* `laptop`: front-left, mid distance. Facing right.
* Front-left is SW.
* Position: (-5 - 2, 0 - 2) -> (-7, -2). Facing: North.
* `backpack`: front-slight-right, slightly far. Facing backward.
* Front-slight-right is WNW.
* Position: (-5 - 5, 0 + 1) -> (-10, 1). Facing: East.
* Relation: `airplane` is east, near to `backpack`.
* `airplane` at (-9, 3), `backpack` at (-10, 1).
* `airplane` is East of `backpack`? -9 > -10. Yes.
* Near? dist = sqrt(1+4) = 2.2. Close enough.

6. **Jump to `backpack` (approx -10, 1).**
* Initially facing West (from jump). Scan West -> Empty.
* Rotate 90 -> Facing North.
* `airplane`: front, near. Facing left.
* Facing North. `airplane` is at (-9, 3).
* From (-10, 1) facing N: relative is (+1, +2).
* Front (N). Near (dist 2.2).
* Matches. Facing left (West). Obs 5 said facing forward (West). Matches.

* Rotate 90 -> Facing East.
* `shoppingcart`: front-left, slightly far. Facing left.
* Facing East. Front-left is NE.
* Position: (-10 + 4, 1 + 3) -> (-6, 4). Facing: North.
* `laptop`: front-right, slightly far. Facing left.
* Facing East. Front-right is SE.
* `laptop` est (-7, -2).
* From (-10, 1) to (-7, -2): (+3, -3). Front-right. Dist 4.2 (slightly far). Matches.
* Facing left -> North. Obs 5 said facing Right (relative to agent West -> North). Matches.
* `red door`: front-slight-right, slightly far.
* Facing East. Door at (-5, 0).
* From (-10, 1) to (-5, 0): (+5, -1). Front-slight-right. Matches.

* Rotate 90 -> Facing South. Empty.

7. **Back to `red door` (-5, 0). Rotate to face East.**
* `scooter`: front-left, slightly far. Facing forward.
* Facing East. Front-left is NE.
* `scooter` est (1, 3).
* From (-5, 0) to (1, 3): (+6, +3). Dist 6.7. Front-left. Matches.
* Facing forward (East). Matches Obs 1.
* `truck`: front-left, mid distance. Facing forward.
* Facing East. Front-left is NE.
* `truck` est (-3.5, 1).
* From (-5, 0) to (-3.5, 1): (+1.5, +1). Dist 1.8. Near/Mid. Matches.
* Facing forward (East). Obs 4 said facing Backward (relative to agent West -> East). Matches.
* `plant`: front-slight-right, slightly far.
* Facing East. Front-right is SE.
* `plant` est (2, -2).
* From (-5, 0) to (2, -2): (+7, -2). Front-slight-right. Matches.
* `brown door`: front-right, slightly far. On right wall.
* Facing East. Front-right is SE. Right wall is South.
* `brown door` est (0, -3).
* From (-5, 0) to (0, -3): (+5, -3). Front-slight-right. Matches.

8. **Jump to `brown door` (0, -3). Rotate to face South.**
* `green chair`: front, mid distance. Facing left.
* Facing South (-y). Front is South.
* Pos: (0, -3 - 3) -> (0, -6).
* Facing left (East).
* `cap`: front, slightly far. Facing forward.
* Pos: (0, -3 - 5) -> (0, -8).
* Facing forward (South).
* `toilet`: front-right, slightly far. Facing forward.
* Facing South. Right is West. Front-right is SW.
* Pos: (-3, -8). Facing South.
* `television`: front-right, slightly far. Facing backward.
* Pos: (-4, -7). Facing North.
* Relation: `green chair` is south, near to `cap`.
* Wait, `green chair` (0, -6), `cap` (0, -8).
* `green chair` is North of `cap`. Relation says "`green chair` is south near `cap`".
* This contradicts. Maybe I swapped them or the "south" refers to the cap relative to the chair?
* "green chair is south, near to cap" usually means "green chair is TO THE SOUTH OF cap".
* If Chair is South of Cap, then Chair is at (0, -8) and Cap at (0, -6).
* Obs from door (facing S): Chair is "mid" (closer), Cap is "slightly far" (farther).
* So Chair is closer to agent (North) than Cap. Chair is North of Cap.
* So relation "green chair is south..." might mean "green chair [is observed to be] south..."? No, relations are cardinal.
* Maybe the relation means "From Green Chair, Cap is South"? No, format is "A is [DIR] near B".
* Maybe "green chair is south [of the door/agent?]" No.
* Let's check the other relation: "`green chair` is west, near to `toilet`".
* Chair at (0, -6). Toilet at (-3, -8).
* Chair is East of Toilet (-3). Relation says West.
* This suggests my coordinates are flipped or I'm misinterpreting.
* Let's re-read "green chair is south, near to cap".
* If Chair is S of Cap, and Chair is closer to Door (N), then Cap must be North of Door? Impossible (Door leads South).
* Maybe "green chair" is the subject. "Green chair is south [of]...".
* Is it possible the agent's facing was different?
* "You rotated clockwise 90". At brown door (facing East originally, from Red Door jump).
* East + 90 = South. Correct.
* Maybe the coordinate system is different? "North is +y".
* Let's assume the relation is correct and my "mid/far" estimation is loose.
* Relation: Chair is S of Cap. Chair is W of Toilet.
* Map: Cap (North) -> Chair (South). Toilet (East of Chair).
* But Obs: Chair (Mid) vs Cap (Far). Agent is at Door (North).
* So Agent -> Chair -> Cap.
* Agent is North. Chair is South of Agent. Cap is South of Chair.
* So Chair is NORTH of Cap.
* Contradiction with "Chair is South of Cap".
* Could "facing forward" for Cap mean facing North?
* "Facing: ... forward/backward... (ego)".
* "Relationship... Cardinal (object-to-object)".
* Okay, if the relation text is generated by the environment, maybe I should trust the geometric distance bins from the agent more.
* Agent (0, -3) Facing S.
* Chair: Front (S), Mid (dist 2-4). Y = -6.
* Cap: Front (S), Far (dist 4-8). Y = -8.
* Toilet: Front-Right (SW), Far.
* If relation is wrong in my interpretation, I'll stick to the Ego observations.
* Ego: Chair is closer than Cap. Chair is roughly same direction (Front). So Chair is North of Cap.
* Let's check "green chair is west near toilet".
* Chair (0, -6). Toilet (SW from Door). So Toilet has X < 0.
* Chair X=0. Toilet X < 0. Chair is EAST of Toilet.
* Relation says WEST.
* Is "front-right" South-West? Agent facing South. Right is West. Front is South. Front-Right is South-West. Correct.
* Maybe "facing south" means something else? No.
* Is it possible the agent is facing North?
* "You rotated clockwise 90" from East -> South.
* Wait, jump to brown door. Brown door was on "right wall" when facing East.
* Agent facing East. Right is South.
* Agent jumps to door. Orientation doesn't change. Facing East.
* Rotates 90 (Clockwise). East -> South.
* So Agent is facing South.
* Maybe the relations are inverted? "X is [Dir] near Y" -> "Y is [Dir] of X"?
* Or "Green Chair is South [relative to something else]".
* Let's ignore the contradictory object-object relations and build from Ego observations which are primary.

* **Refined Positions in Room 3:**
* Agent at (0, -3). Facing South.
* `green chair`: Front (S), Mid (3). -> (0, -6). Facing Left (East).
* `cap`: Front (S), Slightly Far (5). -> (0, -8). Facing Forward (South).
* `toilet`: Front-Right (SW), Slightly Far (5). -> (-3, -7). Facing Forward (South).
* `television`: Front-Right (SW), Slightly Far (5.5). -> (-4, -6). Facing Backward (North).

9. **Jump to `green chair` (0, -6). Facing South.**
* `cap`: Front (S), Near (1.5). -> (0, -7.5). Matches.

10. **Rotate 90 (Clockwise). Facing West.**
* `toilet`: Front (W), Near (2). -> (-2, -6).
* Previous est (-3, -7). New est (-2, -6). Consistent.
* Facing Left (South). Matches previous "facing forward" (South) relative to agent facing South.
* `television`: Front-Left (SW), Slightly Far (4.5).
* Facing West. Front-left is SW.
* Pos: (-2 - 2, -6 - 2) -> (-4, -8).
* Previous est (-4, -6). Consistent range.
* Facing Right (North). Matches previous "facing backward" (North).

**Consolidated Map:**
* **Agent**: Last at `green chair` (0, -6) (approx), facing West.
* Actually, let's keep integer coords.
* Agent started (0,0).
* **Room 1 (North-East Room):**
* `scooter`: (2, 3), Facing East.
* `teddybear`: (-2, 4), Facing East.
* `plant`: (2, -2), Facing South (or West? Obs 3: facing ?? No facing given in obs 3. Obs 7: no facing). Default/Unknown. Let's omit facing if unknown.
* Actually, I can infer facing? No.
* `truck`: (-3, 1), Facing East.
* `brown door`: (0, -3). (Gateway).
* `red door`: (-5, 0). (Gateway).
* **Room 2 (West Room):**
* `airplane`: (-9, 3), Facing West.
* `laptop`: (-7, -2), Facing North.
* `backpack`: (-10, 1), Facing East.
* `shoppingcart`: (-6, 4), Facing North.
* **Room 3 (South Room):**
* `green chair`: (0, -6), Facing East.
* `cap`: (0, -8), Facing South.
* `toilet`: (-2, -6), Facing South.
* `television`: (-4, -8), Facing North.

**Formatting:**
* JSON format.
* "facing" is cardinal.
* Positions are integers.

**Refining Coordinates for Integer Grid:**
* Red Door is at x=-5 roughly.
* Brown Door is at y=-3 roughly.
* Room 1 center 0,0.
* Room 2 is West. Center approx (-8, 1).
* Room 3 is South. Center approx (-1, -7).

Let's list objects:
1. `scooter`: (2, 3), facing: east
2. `teddybear`: (-2, 4), facing: east
3. `plant`: (2, -2), facing: south? (Not specified, omit?)
* "Include only observed objects."
* "MUST include facing key if the object has facing direction."
* Obs 3: "plant...". Obs 7: "plant...". No facing reported.
4. `truck`: (-3, 1), facing: east
5. `brown door`: (0, -3).
6. `red door`: (-5, 0).
7. `airplane`: (-9, 3), facing: west
8. `laptop`: (-7, -2), facing: north
9. `backpack`: (-10, 1), facing: east
10. `shoppingcart`: (-6, 4), facing: north
11. `green chair`: (0, -6), facing: east
12. `cap`: (0, -8), facing: south
13. `toilet`: (-2, -6), facing: south
14. `television`: (-4, -8), facing: north
15. `agent`: Last known pos `green chair` (0, -6). Facing West.

Check constraints:
- "Frame: origin [0,0] is your initial position; your initial facing direction is north."
- "Include all observed objects and gates; include the agent"

Double check relations "green chair is south, near to cap".
If Chair (0, -6) and Cap (0, -8). Chair is North of Cap.
If the relation is true, then Cap (0, -4) and Chair (0, -6)?
But from Door (0, -3) facing South:
Chair is Mid (2-4). Cap is Far (4-8).
So Chair must be closer to (0, -3). So Chair is North.
Relation is likely "Green Chair is [the object to the] South, [and is] near Cap".
Or I should ignore the text relation when it conflicts with explicit distance/angle observations. The distance bins are more direct.

Final check on `plant` facing.
Obs 3: "plant: front-left, mid distance". No facing.
Obs 7: "plant: front-slight-right, slightly far". No facing.
I will omit facing for plant.

Final check on `scooter` facing.
Obs 1: "facing right" (Agent North -> East).
Obs 7: "facing forward" (Agent East -> East).
Consistent. Facing East.

Final check on `teddybear`.
Obs 1: "facing right" (Agent N -> East).
Obs 4: "facing backward" (Agent W -> East).
Consistent. Facing East.

Final check on `truck`.
Obs 4: "facing backward" (Agent W -> East).
Obs 7: "facing forward" (Agent E -> East).
Consistent. Facing East.

Final check on `airplane`.
Obs 5: "facing forward" (Agent W -> West).
Obs 6: "facing left" (Agent N -> West).
Consistent. Facing West.

Final check on `laptop`.
Obs 5: "facing right" (Agent W -> North).
Obs 6: "facing left" (Agent E -> North).
Consistent. Facing North.

Final check on `backpack`.
Obs 5: "facing backward" (Agent W -> East).
Consistent. Facing East.

Final check on `shoppingcart`.
Obs 6: "facing left" (Agent E -> North).
Consistent. Facing North.

Final check on `green chair`.
Obs 8: "facing left" (Agent S -> East).
Consistent. Facing East.

Final check on `cap`.
Obs 8: "facing forward" (Agent S -> South).
Obs 9: "facing forward" (Agent S -> South).
Consistent. Facing South.

Final check on `toilet`.
Obs 8: "facing forward" (Agent S -> South).
Obs 10: "facing left" (Agent W -> South).
Consistent. Facing South.

Final check on `television`.
Obs 8: "facing backward" (Agent S -> North).
Obs 10: "facing right" (Agent W -> North).
Consistent. Facing North.

Coordinates look solid enough.

FINAL ANSWER:
```json
{
"grid": "N/A",
"agent": {"position": [0, -6], "facing": "west"},
"scooter": {"position": [2, 3], "facing": "east"},
"teddybear": {"position": [-2, 4], "facing": "east"},
"plant": {"position": [2, -2]},
"truck": {"position": [-3, 1], "facing": "east"},
"brown door": {"position": [0, -3]},
"red door": {"position": [-5, 0]},
"airplane": {"position": [-9, 3], "facing": "west"},
"laptop": {"position": [-7, -2], "facing": "north"},
"backpack": {"position": [-10, 1], "facing": "east"},
"shoppingcart": {"position": [-6, 4], "facing": "north"},
"green chair": {"position": [0, -6], "facing": "east"},
"cap": {"position": [0, -8], "facing": "south"},
"toilet": {"position": [-2, -6], "facing": "south"},
"television": {"position": [-4, -8], "facing": "north"}
}
```

THINK:
I need to construct the JSON map of the environment based on my observations.
Initial Position: (0,0), facing North.

**Observations:**
1. **Pos (0,0), Facing North:**
* `scooter`: front-slight-right, mid distance (approx >2, <=4). Facing right (East).
* North is +y. Front-sl...

{
  "grid": "N/A",
  "agent": {
    "position": [
      0,
      -6
    ],
    "facing": "west"
  },
  "scooter": {
    "position": [
      2,
      3
    ],
    "facing": "east"
  },
  "teddybear": {
    "position": [
      -2,
      4
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      2,
      -2
    ]
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      0,
      -3
    ]
  },
  "red door": {
    "position": [
      -5,
      0
    ]
  },
  "airplane": {
    "position": [
      -9,
      3
    ],
    "facing": "west"
  },
  "laptop": {
    "position": [
      -7,
      -2
    ],
    "facing": "north"
  },
  "backpack": {
    "position": [
      -10,
      1
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -6,
      4
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      0,
      -6
    ],
    "facing": "east"
  },
  "cap": {
    "position": [
      0,
      -8
    ],
    "facing": "south"
  },
  "toilet": {
    "position": [
      -2,
      -6
    ],
    "facing": "south"
  },
  "television": {
    "position": [
      -4,
      -8
    ],
    "facing": "north"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -1,
      -7
    ],
    "facing": "west"
  }
}

{
  "scooter": {
    "position": [
      1,
      3
    ],
    "facing": "east"
  },
  "shoppingcart": {
    "position": [
      -7,
      3
    ],
    "facing": "north"
  },
  "green chair": {
    "position": [
      -1,
      -7
    ],
    "facing": "east"
  },
  "truck": {
    "position": [
      -3,
      1
    ],
    "facing": "east"
  },
  "airplane": {
    "position": [
      -11,
      3
    ],
    "facing": "west"
  },
  "cap": {
    "position": [
      -1,
      -9
    ],
    "facing": "south"
  },
  "teddybear": {
    "position": [
      -3,
      3
    ],
    "facing": "east"
  },
  "plant": {
    "position": [
      1,
      -2
    ],
    "facing": "east"
  },
  "laptop": {
    "position": [
      -7,
      -1
    ],
    "facing": "north"
  },
  "toilet": {
    "position": [
      -3,
      -7
    ],
    "facing": "south"
  },
  "backpack": {
    "position": [
      -11,
      1
    ],
    "facing": "east"
  },
  "television": {
    "position": [
      -5,
      -9
    ],
    "facing": "north"
  },
  "red door": {
    "position": [
      -5,
      0
    ],
    "facing": "east"
  },
  "brown door": {
    "position": [
      -1,
      -3
    ],
    "facing": "north"
  },
  "agent": {
    "position": [
      -1,
      -7
    ],
    "facing": "west"
  }
}

THINK:
I am currently at the green chair, facing West. I need to generate a Local Cognitive Map of the objects I currently observe in my FOV.
My current observation is:
- toilet: front, near, facing left
- television: front-left, slightly far, facing right

My local coordinate system:
- Origin: agent (me) at (0,0)
- +y axis: Forward (West, since I am facing West)
- +x axis: Right (North)
- -x axis: Left (South)
- -y axis: Backward (East)

Mapping objects:
1. **toilet**: "front, near, facing left"
- "front": +y direction.
- "near": distance bin (0, 2]. Let's estimate y = 2. x = 0.
- Position: [0, 2] (relative to agent).
- "facing left": Left relative to me is -x (South). So facing is "-x".
2. **television**: "front-left, slightly far, facing right"
- "front-left": In the quadrant between front (+y) and left (-x). Angle approx 45 degrees left.
- "slightly far": distance bin (4, 8]. Let's estimate distance 6.
- If 45 degrees left, coordinates would be x ≈ -4, y ≈ 4.
- Position: [-4, 4] (relative to agent).
- "facing right": Right relative to me is +x (North). So facing is "+x".

Wait, let's refine coordinates based on standard grid assumptions if possible, or just be consistent with bins.
- Toilet: Front, near. (0, 2) is safe.
- Television: Front-left, slightly far. x < 0, y > 0. (-3, 5) or similar. Let's stick to approximate relative coords.

Let's double check orientations.
- Agent facing: West (+y local).
- Toilet facing: Left (South, -x local).
- TV facing: Right (North, +x local).

Local Map JSON construction:
{
"origin": "agent",
"objects": {
"toilet": {"position": [0, 2], "facing": "-x"},
"television": {"position": [-4, 4], "facing": "+x"}
}
}

FINAL ANSWER:
{
"origin": "agent",
"objects": {
"toilet": {"position": [0, 2], "facing": "-x"},
"television": {"position": [-4, 4], "facing": "+x"}
}
}

THINK:
I am currently at the green chair, facing West. I need to generate a Local Cognitive Map of the objects I currently observe in my FOV.
My current observation is:
- toilet: front, near, facing left
- television: front-left, slightly far, facing right

My local coordinate system:
- Origin: agen...

{
  "origin": "agent",
  "objects": {
    "toilet": {
      "position": [
        0,
        2
      ],
      "facing": "-x"
    },
    "television": {
      "position": [
        -4,
        4
      ],
      "facing": "+x"
    }
  }
}

{
  "toilet": {
    "position": [
      0,
      2
    ],
    "facing": "south"
  },
  "television": {
    "position": [
      -2,
      4
    ],
    "facing": "north"
  }
}

{
  "origin": "agent",
  "objects": {
    "toilet": {
      "position": [
        0,
        2
      ],
      "facing": "-x"
    },
    "television": {
      "position": [
        -4,
        4
      ],
      "facing": "+x"
    }
  }
}

THINK:
I am currently at the green chair (marked as '*').
I just rotated to face West and observed the toilet and television.
I have previously seen the cap (to the South of the chair).
From the brown door (which is North of my current position), I looked South into Room 3.
The map shows Room 3 at the bottom. The brown door is at the top of Room 3.
I am at the '*' (green chair).
Point A is North of me, between me and the door. I have likely observed this area when I looked South from the door or when I was at the door.
Point B is East of me. I have not looked East from the green chair yet. I looked South (saw cap), and West (saw toilet/TV). I have not looked East or North from the chair position specifically, although I looked *through* the North space to get here.
However, "unexplored/unobserved regions" usually refers to areas I haven't seen *at all* or haven't confirmed as empty/occupied.
When I was at the brown door facing South, I saw: green chair (front), cap (front), toilet (front-right), television (front-right).
My FOV from the door (facing South) covers the cone to the South.
The green chair is "front".
"front-right" corresponds to South-West.
I did not see anything "front-left" (South-East).
Point B is to the East/South-East of the green chair. It corresponds to the "front-left" sector from the door, which I did not report seeing objects in. It might be empty, or contain unobserved objects.
Since I haven't looked East from the chair (which would cover B), and I didn't report objects in the South-East from the door, B is likely in an unobserved or at least "not fully explored" region.
Point A is North of the chair. I walked past it (virtually) to get to the chair. I observed the chair from the door, so the path (line of sight) is observed.
Therefore, A is likely observed (empty space).
B is in the corner I haven't explicitly checked with a direct FOV looking that way (East from chair) or reported objects from the door (South-East).
So I will select B.

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

THINK:
I am currently at the green chair (marked as '*').
I just rotated to face West and observed the toilet and television.
I have previously seen the cap (to the South of the chair).
From the brown door (which is North of my current position), I looked South into Room 3.
The map shows Room 3 at t...

###############
#......#......#
#......#......#
#......#......#
#......+......#
#......#......#
#......#......#
###########+###
######...A..###
######......###
######.....B###
######.....*###
######......###
######......###
###############