[TASK]
You'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.

[APPROACH]
You will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.
1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.
2. Then, track step-by-step:
* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.
* If a step involves the object of interest moving, you should update the object's location.
* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.
3. Format your output exactly as shown in example answers below.

[EXAMPLE STORY1]
Step 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.
Step 1: Catherine moves to the sauna.
Step 2: Catherine moves to the patio.
Step 3: Catherine moves to the sauna.
Step 4: Catherine moves the pencil sharpener to the sauna's nightstand.
Step 5: Catherine moves to the patio.
Step 6: Kristin moves to the sauna.
Step 7: Catherine moves to the sauna.
Step 8: Kristin leaves the room he was in.
Step 9: Catherine moves the thread spool to the sauna's nightstand.
Step 10: Kristin enters the patio.

[EXAMPLE QUESTION1]
Where does Catherine believe the thread spool is?

[EXAMPLE ANSWER1]
Catherine's belief on the thread spool:
- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}
- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
Final Answer: the sauna's nightstand

[EXAMPLE STORY2]
Step 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.
Step 1: Kathryn moves to the patio.
Step 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.
Step 3: Kathryn moves the fuse to the storage room's coffee table.
Step 4: Mitchell leaves the room he was in.
Step 5: Kathryn moves the fuse to the storage room's ledge.
Step 6: Mitchell enters the storage room.
Step 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.
Step 8: Kathryn moves the rubber band to the patio's ledge.
Step 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.
Step 10: Mitchell moves the rubber band to the storage room's coffee table.

[EXAMPLE QUESTION2]
Where does Kathryn believe the fuse is?

[EXAMPLE ANSWER2]
Kathryn's belief on the fuse:
- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}
- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}
- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
Final Answer: the patio's ledge

[PROBLEM]
Read the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.

[STORY]
Step 0: Alyssa is in the bedroom; Nancy is in the bedroom; the contact lens case is on the bedroom's side table; the playing marble is on the patio's side table.
Step 1: Alyssa leaves the room he was in.
Step 2: Nancy moves the contact lens case to the bedroom's windowsill.
Step 3: Alyssa enters the bedroom.
Step 4: Nancy moves the contact lens case to the bedroom's side table.
Step 5: Alyssa moves the contact lens case to the bedroom's windowsill.
Step 6: Nancy moves to the patio, and moves the contact lens case to the patio's windowsill.
Step 7: Alyssa moves to the patio.
Step 8: Nancy leaves the room he was in.
Step 9: Alyssa moves to the bedroom.
Step 10: Nancy enters the patio.
Step 11: Alyssa moves to the patio.
Step 12: Nancy moves to the bedroom, and moves the playing marble to the bedroom's side table.
Step 13: Alyssa moves to the bedroom, and moves the contact lens case to the bedroom's side table.
Step 14: Nancy moves to the patio, and moves the playing marble to the patio's windowsill.
Step 15: Alyssa leaves the room he was in.
Step 16: Nancy moves the playing marble to the patio's side table.
Step 17: Alyssa enters the patio.
Step 18: Nancy moves the playing marble to the patio's windowsill.
Step 19: Alyssa moves the playing marble to the patio's side table.
Step 20: Nancy moves to the bedroom, and moves the playing marble to the bedroom's windowsill.
Step 21: Alyssa moves to the bedroom.
Step 22: Nancy moves to the patio.
Step 23: Alyssa leaves the room he was in.
Step 24: Nancy moves to the bedroom.
Step 25: Alyssa enters the patio.
Step 26: Nancy moves to the patio, and moves the contact lens case to the patio's windowsill.
Step 27: Alyssa moves to the bedroom, and moves the contact lens case to the bedroom's windowsill.
Step 28: Alyssa leaves the room he was in.
Step 29: Alyssa enters the patio.
Step 30: Nancy moves to the bedroom.
Step 31: Alyssa moves to the bedroom.
Step 32: Nancy moves to the patio, and moves the playing marble to the patio's side table.
Step 33: Alyssa leaves the room he was in.
Step 34: Nancy moves the playing marble to the patio's windowsill.
Step 35: Alyssa enters the bedroom.
Step 36: Nancy moves to the bedroom, and moves the playing marble to the bedroom's side table.
Step 37: Alyssa moves to the patio, and moves the contact lens case to the patio's windowsill.
Step 38: Nancy moves the playing marble to the bedroom's windowsill.
Step 39: Alyssa moves to the bedroom.
Step 40: Nancy moves to the patio.

[QUESTION]
Where does Nancy believe the contact lens case is?

[YOUR ANSWER]

Nancy's belief on the contact lens case:
- Step 0: (initial state) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 1: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 2: (Nancy location unchanged; contact lens case location changed) {Nancy location: bedroom; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 3: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 4: (Nancy location unchanged; contact lens case location changed) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 5: (Nancy location unchanged; contact lens case location changed) {Nancy location: bedroom; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 6: (Nancy location changed; contact lens case location changed) {Nancy location: patio; contact lens case location: patio's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: patio's windowsill}
- Step 7: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: patio's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: patio's windowsill}
- Step 8: (Nancy location changed; contact lens case location unchanged) {Nancy location: None; contact lens case location: patio's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: patio's windowsill}
- Step 9: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: None; contact lens case location: patio's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: patio's windowsill}
- Step 10: (Nancy location changed; contact lens case location unchanged) {Nancy location: patio; contact lens case location: patio's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: patio's windowsill}
- Step 11: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: patio's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: patio's windowsill}
- Step 12: (Nancy location changed; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: patio's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: patio's windowsill}
- Step 13: (Nancy location unchanged; contact lens case location changed) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 14: (Nancy location changed; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 15: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 16: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 17: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 18: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 19: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 20: (Nancy location changed; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 21: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 22: (Nancy location changed; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 23: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's side table; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's side table}
- Step 24: (Nancy location changed; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 25: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's side table; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's side table}
- Step 26: (Nancy location changed; contact lens case location changed) {Nancy location: patio; contact lens case location: patio's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: patio's windowsill}
- Step 27: (Nancy location unchanged; contact lens case location changed) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: patio's windowsill}
- Step 28: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: patio's windowsill}
- Step 29: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: patio's windowsill}
- Step 30: (Nancy location changed; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 31: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 32: (Nancy location changed; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 33: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 34: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 35: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: patio; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 36: (Nancy location changed; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: bedroom's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 37: (Nancy location unchanged; contact lens case location changed) {Nancy location: bedroom; contact lens case location: patio's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 38: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: patio's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 39: (Nancy location unchanged; contact lens case location unchanged) {Nancy location: bedroom; contact lens case location: patio's windowsill; Nancy sees contact lens case: False; Nancy's belief on contact lens case: bedroom's windowsill}
- Step 40: (Nancy location changed; contact lens case location unchanged) {Nancy location: patio; contact lens case location: patio's windowsill; Nancy sees contact lens case: True; Nancy's belief on contact lens case: patio's windowsill}
Final Answer: the patio's windowsill

Question: Where does Nancy believe the contact lens case is?

Agents: [Alyssa, Nancy].
Objects: [the contact lens case, the playing marble].
Rooms: [the bedroom, the patio].
Containers: [the bedroom's windowsill, the bedroom's side table, the patio's windowsill, the patio's side table]


[TASK]
You'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.

[APPROACH]
You will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.
1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.
2. Then, track step-by-step:
* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.
* If a step involves the object of interest moving, you should update the object's location.
* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.
3. Format your output exactly as shown in example answers below.

[EXAMPLE STORY1]
Step 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.
Step 1: Catherine moves to the sauna.
Step 2: Catherine moves to the patio.
Step 3: Catherine moves to the sauna.
Step 4: Catherine moves the pencil sharpener to the sauna's nightstand.
Step 5: Catherine moves to the patio.
Step 6: Kristin moves to the sauna.
Step 7: Catherine moves to the sauna.
Step 8: Kristin leaves the room he was in.
Step 9: Catherine moves the thread spool to the sauna's nightstand.
Step 10: Kristin enters the patio.

[EXAMPLE QUESTION1]
Where does Catherine believe the thread spool is?

[EXAMPLE ANSWER1]
Catherine's belief on the thread spool:
- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}
- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
Final Answer: the sauna's nightstand

[EXAMPLE STORY2]
Step 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.
Step 1: Kathryn moves to the patio.
Step 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.
Step 3: Kathryn moves the fuse to the storage room's coffee table.
Step 4: Mitchell leaves the room he was in.
Step 5: Kathryn moves the fuse to the storage room's ledge.
Step 6: Mitchell enters the storage room.
Step 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.
Step 8: Kathryn moves the rubber band to the patio's ledge.
Step 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.
Step 10: Mitchell moves the rubber band to the storage room's coffee table.

[EXAMPLE QUESTION2]
Where does Kathryn believe the fuse is?

[EXAMPLE ANSWER2]
Kathryn's belief on the fuse:
- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}
- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}
- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
Final Answer: the patio's ledge

[PROBLEM]
Read the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.

[STORY]
Step 0: Jonathan is in the pantry; Leon is in the pantry; the medal is on the living room's stand; the wallet is on the living room's sideboard.
Step 1: Jonathan moves to the living room.
Step 2: Leon moves to the living room.
Step 3: Jonathan leaves the room he was in.
Step 4: Leon leaves the room he was in.
Step 5: Jonathan enters the pantry.
Step 6: Leon enters the living room.
Step 7: Leon moves to the pantry.
Step 8: Leon moves to the living room.
Step 9: Leon moves to the pantry, and moves the medal to the pantry's sideboard.
Step 10: Leon moves to the living room, and moves the medal to the living room's sideboard.
Step 11: Jonathan moves to the living room.
Step 12: Leon moves to the pantry.
Step 13: Jonathan leaves the room he was in.
Step 14: Leon moves to the living room.
Step 15: Jonathan enters the living room.
Step 16: Leon moves the wallet to the living room's stand.
Step 17: Jonathan moves to the pantry, and moves the wallet to the pantry's stand.
Step 18: Leon moves the medal to the living room's stand.
Step 19: Jonathan moves to the living room.
Step 20: Leon moves to the pantry, and moves the medal to the pantry's sideboard.
Step 21: Leon moves to the living room, and moves the wallet to the living room's stand.
Step 22: Leon moves the wallet to the living room's sideboard.
Step 23: Jonathan moves to the pantry.
Step 24: Leon moves to the pantry, and moves the wallet to the pantry's stand.
Step 25: Jonathan moves to the living room, and moves the medal to the living room's sideboard.
Step 26: Leon moves to the living room.
Step 27: Jonathan moves to the pantry.
Step 28: Leon moves to the pantry, and moves the medal to the pantry's stand.
Step 29: Jonathan moves to the living room, and moves the wallet to the living room's stand.
Step 30: Leon moves to the living room.
Step 31: Jonathan moves to the pantry.
Step 32: Leon leaves the room he was in.
Step 33: Jonathan moves to the living room.
Step 34: Leon enters the pantry.
Step 35: Jonathan moves to the pantry.
Step 36: Leon leaves the room he was in.
Step 37: Jonathan moves the medal to the pantry's sideboard.
Step 38: Leon enters the living room.
Step 39: Jonathan moves to the living room, and moves the medal to the living room's sideboard.
Step 40: Leon moves to the pantry, and moves the wallet to the pantry's sideboard.

[QUESTION]
Where does Leon believe the medal is?

[YOUR ANSWER]

Leon's belief on the medal:
- Step 0: (initial state) {Leon location: pantry; medal location: living room's stand; Leon sees medal: False; Leon's belief on medal: None}
- Step 1: (Leon location unchanged; medal location unchanged) {Leon location: pantry; medal location: living room's stand; Leon sees medal: False; Leon's belief on medal: None}
- Step 2: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: living room's stand; Leon sees medal: True; Leon's belief on medal: living room's stand}
- Step 3: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's stand; Leon sees medal: True; Leon's belief on medal: living room's stand}
- Step 4: (Leon location changed; medal location unchanged) {Leon location: None; medal location: living room's stand; Leon sees medal: False; Leon's belief on medal: living room's stand}
- Step 5: (Leon location unchanged; medal location unchanged) {Leon location: None; medal location: living room's stand; Leon sees medal: False; Leon's belief on medal: living room's stand}
- Step 6: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: living room's stand; Leon sees medal: True; Leon's belief on medal: living room's stand}
- Step 7: (Leon location changed; medal location unchanged) {Leon location: pantry; medal location: living room's stand; Leon sees medal: False; Leon's belief on medal: living room's stand}
- Step 8: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: living room's stand; Leon sees medal: True; Leon's belief on medal: living room's stand}
- Step 9: (Leon location changed; medal location changed) {Leon location: pantry; medal location: pantry's sideboard; Leon sees medal: True; Leon's belief on medal: pantry's sideboard}
- Step 10: (Leon location changed; medal location changed) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 11: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 12: (Leon location changed; medal location unchanged) {Leon location: pantry; medal location: living room's sideboard; Leon sees medal: False; Leon's belief on medal: living room's sideboard}
- Step 13: (Leon location unchanged; medal location unchanged) {Leon location: pantry; medal location: living room's sideboard; Leon sees medal: False; Leon's belief on medal: living room's sideboard}
- Step 14: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 15: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 16: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 17: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 18: (Leon location unchanged; medal location changed) {Leon location: living room; medal location: living room's stand; Leon sees medal: True; Leon's belief on medal: living room's stand}
- Step 19: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's stand; Leon sees medal: True; Leon's belief on medal: living room's stand}
- Step 20: (Leon location changed; medal location changed) {Leon location: pantry; medal location: pantry's sideboard; Leon sees medal: True; Leon's belief on medal: pantry's sideboard}
- Step 21: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: pantry's sideboard; Leon sees medal: False; Leon's belief on medal: pantry's sideboard}
- Step 22: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: pantry's sideboard; Leon sees medal: False; Leon's belief on medal: pantry's sideboard}
- Step 23: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: pantry's sideboard; Leon sees medal: False; Leon's belief on medal: pantry's sideboard}
- Step 24: (Leon location changed; medal location unchanged) {Leon location: pantry; medal location: pantry's sideboard; Leon sees medal: True; Leon's belief on medal: pantry's sideboard}
- Step 25: (Leon location unchanged; medal location changed) {Leon location: pantry; medal location: living room's sideboard; Leon sees medal: False; Leon's belief on medal: pantry's sideboard}
- Step 26: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 27: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 28: (Leon location changed; medal location changed) {Leon location: pantry; medal location: pantry's stand; Leon sees medal: True; Leon's belief on medal: pantry's stand}
- Step 29: (Leon location unchanged; medal location unchanged) {Leon location: pantry; medal location: pantry's stand; Leon sees medal: True; Leon's belief on medal: pantry's stand}
- Step 30: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: pantry's stand; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 31: (Leon location unchanged; medal location unchanged) {Leon location: living room; medal location: pantry's stand; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 32: (Leon location changed; medal location unchanged) {Leon location: None; medal location: pantry's stand; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 33: (Leon location unchanged; medal location unchanged) {Leon location: None; medal location: pantry's stand; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 34: (Leon location changed; medal location unchanged) {Leon location: pantry; medal location: pantry's stand; Leon sees medal: True; Leon's belief on medal: pantry's stand}
- Step 35: (Leon location unchanged; medal location unchanged) {Leon location: pantry; medal location: pantry's stand; Leon sees medal: True; Leon's belief on medal: pantry's stand}
- Step 36: (Leon location changed; medal location unchanged) {Leon location: None; medal location: pantry's stand; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 37: (Leon location unchanged; medal location changed) {Leon location: None; medal location: pantry's sideboard; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 38: (Leon location changed; medal location unchanged) {Leon location: living room; medal location: pantry's sideboard; Leon sees medal: False; Leon's belief on medal: pantry's stand}
- Step 39: (Leon location unchanged; medal location changed) {Leon location: living room; medal location: living room's sideboard; Leon sees medal: True; Leon's belief on medal: living room's sideboard}
- Step 40: (Leon location changed; medal location unchanged) {Leon location: pantry; medal location: living room's sideboard; Leon sees medal: False; Leon's belief on medal: living room's sideboard}
Final Answer: the living room's sideboard

Question: Where does Leon believe the medal is?

Agents: [Jonathan, Leon].
Objects: [the medal, the wallet].
Rooms: [the living room, the pantry].
Containers: [the living room's stand, the living room's sideboard, the pantry's stand, the pantry's sideboard]


[TASK]
You'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.

[APPROACH]
You will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.
1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.
2. Then, track step-by-step:
* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.
* If a step involves the object of interest moving, you should update the object's location.
* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.
3. Format your output exactly as shown in example answers below.

[EXAMPLE STORY1]
Step 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.
Step 1: Catherine moves to the sauna.
Step 2: Catherine moves to the patio.
Step 3: Catherine moves to the sauna.
Step 4: Catherine moves the pencil sharpener to the sauna's nightstand.
Step 5: Catherine moves to the patio.
Step 6: Kristin moves to the sauna.
Step 7: Catherine moves to the sauna.
Step 8: Kristin leaves the room he was in.
Step 9: Catherine moves the thread spool to the sauna's nightstand.
Step 10: Kristin enters the patio.

[EXAMPLE QUESTION1]
Where does Catherine believe the thread spool is?

[EXAMPLE ANSWER1]
Catherine's belief on the thread spool:
- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}
- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
Final Answer: the sauna's nightstand

[EXAMPLE STORY2]
Step 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.
Step 1: Kathryn moves to the patio.
Step 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.
Step 3: Kathryn moves the fuse to the storage room's coffee table.
Step 4: Mitchell leaves the room he was in.
Step 5: Kathryn moves the fuse to the storage room's ledge.
Step 6: Mitchell enters the storage room.
Step 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.
Step 8: Kathryn moves the rubber band to the patio's ledge.
Step 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.
Step 10: Mitchell moves the rubber band to the storage room's coffee table.

[EXAMPLE QUESTION2]
Where does Kathryn believe the fuse is?

[EXAMPLE ANSWER2]
Kathryn's belief on the fuse:
- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}
- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}
- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
Final Answer: the patio's ledge

[PROBLEM]
Read the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.

[STORY]
Step 0: Makayla is in the hallway; Kayla is in the hallway; the glue stick is on the study's nightstand; the sewing needle is on the study's rack.
Step 1: Makayla moves to the study.
Step 2: Kayla moves to the study.
Step 3: Makayla moves to the hallway.
Step 4: Kayla leaves the room he was in.
Step 5: Makayla moves to the study.
Step 6: Kayla enters the hallway.
Step 7: Makayla moves to the hallway.
Step 8: Kayla moves to the study.
Step 9: Kayla moves the sewing needle to the study's nightstand.
Step 10: Kayla leaves the room he was in.
Step 11: Makayla moves to the study.
Step 12: Kayla enters the study.
Step 13: Makayla moves to the hallway.
Step 14: Kayla moves to the hallway, and moves the glue stick to the hallway's nightstand.
Step 15: Makayla moves the glue stick to the hallway's rack.
Step 16: Kayla moves the glue stick to the hallway's nightstand.
Step 17: Makayla moves the glue stick to the hallway's rack.
Step 18: Kayla moves to the study.
Step 19: Makayla moves to the study, and moves the glue stick to the study's rack.
Step 20: Kayla moves to the hallway.
Step 21: Makayla moves to the hallway, and moves the sewing needle to the hallway's rack.
Step 22: Kayla moves to the study.
Step 23: Makayla moves to the study, and moves the sewing needle to the study's nightstand.
Step 24: Kayla moves the sewing needle to the study's rack.
Step 25: Makayla moves to the hallway, and moves the sewing needle to the hallway's rack.
Step 26: Kayla moves the glue stick to the study's nightstand.
Step 27: Makayla moves the sewing needle to the hallway's nightstand.
Step 28: Kayla moves the glue stick to the study's rack.
Step 29: Makayla moves the sewing needle to the hallway's rack.
Step 30: Kayla moves the glue stick to the study's nightstand.
Step 31: Makayla moves to the study, and moves the sewing needle to the study's rack.
Step 32: Kayla leaves the room he was in.
Step 33: Makayla moves to the hallway, and moves the glue stick to the hallway's rack.
Step 34: Kayla enters the hallway.
Step 35: Makayla leaves the room he was in.
Step 36: Kayla moves to the study, and moves the glue stick to the study's rack.
Step 37: Makayla enters the hallway.
Step 38: Kayla moves to the hallway.
Step 39: Makayla moves to the study.
Step 40: Makayla moves to the hallway, and moves the sewing needle to the hallway's rack.

[QUESTION]
Where does Makayla believe the sewing needle is?

[YOUR ANSWER]

Makayla's belief on the sewing needle:
- Step 0: (initial state) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: None}
- Step 1: (Makayla location changed; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 2: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 3: (Makayla location changed; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 4: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 5: (Makayla location changed; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 6: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 7: (Makayla location changed; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 8: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 9: (Makayla location unchanged; sewing needle location changed) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 10: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 11: (Makayla location changed; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's nightstand}
- Step 12: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's nightstand}
- Step 13: (Makayla location changed; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's nightstand}
- Step 14: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's nightstand}
- Step 15: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's nightstand}
- Step 16: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's nightstand}
- Step 17: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's nightstand}
- Step 18: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's nightstand; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's nightstand}
- Step 19: (Makayla location changed; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's nightstand}
- Step 20: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's nightstand}
- Step 21: (Makayla location changed; sewing needle location changed) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
- Step 22: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
- Step 23: (Makayla location changed; sewing needle location changed) {Makayla location: study; sewing needle location: study's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's nightstand}
- Step 24: (Makayla location unchanged; sewing needle location changed) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 25: (Makayla location changed; sewing needle location changed) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
- Step 26: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
- Step 27: (Makayla location unchanged; sewing needle location changed) {Makayla location: hallway; sewing needle location: hallway's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's nightstand}
- Step 28: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: hallway's nightstand; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's nightstand}
- Step 29: (Makayla location unchanged; sewing needle location changed) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
- Step 30: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
- Step 31: (Makayla location changed; sewing needle location changed) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 32: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 33: (Makayla location changed; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 34: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 35: (Makayla location changed; sewing needle location unchanged) {Makayla location: None; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 36: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: None; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 37: (Makayla location changed; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 38: (Makayla location unchanged; sewing needle location unchanged) {Makayla location: hallway; sewing needle location: study's rack; Makayla sees sewing needle: False; Makayla's belief on sewing needle: study's rack}
- Step 39: (Makayla location changed; sewing needle location unchanged) {Makayla location: study; sewing needle location: study's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: study's rack}
- Step 40: (Makayla location changed; sewing needle location changed) {Makayla location: hallway; sewing needle location: hallway's rack; Makayla sees sewing needle: True; Makayla's belief on sewing needle: hallway's rack}
Final Answer: the hallway's rack

Question: Where does Makayla believe the sewing needle is?

Agents: [Makayla, Kayla].
Objects: [the glue stick, the sewing needle].
Rooms: [the study, the hallway].
Containers: [the study's nightstand, the study's rack, the hallway's nightstand, the hallway's rack]


[TASK]
You'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.

[APPROACH]
You will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.
1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.
2. Then, track step-by-step:
* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.
* If a step involves the object of interest moving, you should update the object's location.
* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.
3. Format your output exactly as shown in example answers below.

[EXAMPLE STORY1]
Step 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.
Step 1: Catherine moves to the sauna.
Step 2: Catherine moves to the patio.
Step 3: Catherine moves to the sauna.
Step 4: Catherine moves the pencil sharpener to the sauna's nightstand.
Step 5: Catherine moves to the patio.
Step 6: Kristin moves to the sauna.
Step 7: Catherine moves to the sauna.
Step 8: Kristin leaves the room he was in.
Step 9: Catherine moves the thread spool to the sauna's nightstand.
Step 10: Kristin enters the patio.

[EXAMPLE QUESTION1]
Where does Catherine believe the thread spool is?

[EXAMPLE ANSWER1]
Catherine's belief on the thread spool:
- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}
- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
Final Answer: the sauna's nightstand

[EXAMPLE STORY2]
Step 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.
Step 1: Kathryn moves to the patio.
Step 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.
Step 3: Kathryn moves the fuse to the storage room's coffee table.
Step 4: Mitchell leaves the room he was in.
Step 5: Kathryn moves the fuse to the storage room's ledge.
Step 6: Mitchell enters the storage room.
Step 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.
Step 8: Kathryn moves the rubber band to the patio's ledge.
Step 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.
Step 10: Mitchell moves the rubber band to the storage room's coffee table.

[EXAMPLE QUESTION2]
Where does Kathryn believe the fuse is?

[EXAMPLE ANSWER2]
Kathryn's belief on the fuse:
- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}
- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}
- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
Final Answer: the patio's ledge

[PROBLEM]
Read the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.

[STORY]
Step 0: Stacey is in the pantry; Gregory is in the pantry; the USB drive is on the pantry's pedestal; the playing dice is on the pantry's stool.
Step 1: Stacey leaves the room he was in.
Step 2: Gregory leaves the room he was in.
Step 3: Stacey enters the foyer.
Step 4: Gregory enters the pantry.
Step 5: Stacey moves to the pantry.
Step 6: Gregory moves to the foyer.
Step 7: Stacey moves the USB drive to the pantry's stool.
Step 8: Gregory moves to the pantry.
Step 9: Stacey moves to the foyer, and moves the playing dice to the foyer's pedestal.
Step 10: Gregory moves to the foyer.
Step 11: Stacey leaves the room he was in.
Step 12: Gregory leaves the room he was in.
Step 13: Stacey enters the pantry.
Step 14: Gregory enters the foyer.
Step 15: Stacey moves to the foyer.
Step 16: Gregory moves to the pantry.
Step 17: Stacey moves to the pantry.
Step 18: Gregory moves to the foyer.
Step 19: Stacey leaves the room he was in.
Step 20: Gregory moves to the pantry.
Step 21: Stacey enters the pantry.
Step 22: Gregory moves to the foyer.
Step 23: Stacey moves the USB drive to the pantry's pedestal.
Step 24: Gregory moves to the pantry.
Step 25: Stacey moves to the foyer, and moves the USB drive to the foyer's stool.
Step 26: Stacey leaves the room he was in.
Step 27: Stacey enters the pantry.
Step 28: Gregory moves to the foyer.
Step 29: Stacey moves to the foyer.
Step 30: Gregory moves to the pantry, and moves the playing dice to the pantry's stool.
Step 31: Stacey moves to the pantry, and moves the USB drive to the pantry's stool.
Step 32: Gregory moves to the foyer, and moves the playing dice to the foyer's stool.
Step 33: Stacey moves the USB drive to the pantry's pedestal.
Step 34: Gregory moves to the pantry.
Step 35: Stacey moves the USB drive to the pantry's stool.
Step 36: Gregory moves to the foyer, and moves the USB drive to the foyer's stool.
Step 37: Stacey moves to the foyer.
Step 38: Gregory moves to the pantry, and moves the playing dice to the pantry's pedestal.
Step 39: Stacey moves to the pantry.
Step 40: Gregory moves the playing dice to the pantry's stool.

[QUESTION]
Where does Gregory believe the playing dice is?

[YOUR ANSWER]

Gregory's belief on the playing dice:
- Step 0: (initial state) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 1: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 2: (Gregory location changed; playing dice location unchanged) {Gregory location: None; playing dice location: pantry's stool; Gregory sees playing dice: False; Gregory's belief on playing dice: pantry's stool}
- Step 3: (Gregory location unchanged; playing dice location unchanged) {Gregory location: None; playing dice location: pantry's stool; Gregory sees playing dice: False; Gregory's belief on playing dice: pantry's stool}
- Step 4: (Gregory location changed; playing dice location unchanged) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 5: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 6: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: pantry's stool; Gregory sees playing dice: False; Gregory's belief on playing dice: pantry's stool}
- Step 7: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: pantry's stool; Gregory sees playing dice: False; Gregory's belief on playing dice: pantry's stool}
- Step 8: (Gregory location changed; playing dice location unchanged) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 9: (Gregory location unchanged; playing dice location changed) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: pantry's stool}
- Step 10: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 11: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 12: (Gregory location changed; playing dice location unchanged) {Gregory location: None; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 13: (Gregory location unchanged; playing dice location unchanged) {Gregory location: None; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 14: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 15: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 16: (Gregory location changed; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 17: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 18: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 19: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 20: (Gregory location changed; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 21: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 22: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 23: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 24: (Gregory location changed; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 25: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 26: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 27: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's pedestal; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's pedestal}
- Step 28: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 29: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's pedestal}
- Step 30: (Gregory location changed; playing dice location changed) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 31: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
- Step 32: (Gregory location changed; playing dice location changed) {Gregory location: foyer; playing dice location: foyer's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's stool}
- Step 33: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's stool}
- Step 34: (Gregory location changed; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's stool; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's stool}
- Step 35: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: foyer's stool; Gregory sees playing dice: False; Gregory's belief on playing dice: foyer's stool}
- Step 36: (Gregory location changed; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's stool}
- Step 37: (Gregory location unchanged; playing dice location unchanged) {Gregory location: foyer; playing dice location: foyer's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: foyer's stool}
- Step 38: (Gregory location changed; playing dice location changed) {Gregory location: pantry; playing dice location: pantry's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's pedestal}
- Step 39: (Gregory location unchanged; playing dice location unchanged) {Gregory location: pantry; playing dice location: pantry's pedestal; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's pedestal}
- Step 40: (Gregory location unchanged; playing dice location changed) {Gregory location: pantry; playing dice location: pantry's stool; Gregory sees playing dice: True; Gregory's belief on playing dice: pantry's stool}
Final Answer: the pantry's stool

Question: Where does Gregory believe the playing dice is?

Agents: [Stacey, Gregory].
Objects: [the USB drive, the playing dice].
Rooms: [the pantry, the foyer].
Containers: [the pantry's pedestal, the pantry's stool, the foyer's pedestal, the foyer's stool]


[TASK]
You'll see a story about object placement. Each story involves four components: Agents, Objects, Rooms, and Containers. Given a question about an (agent, object) pair, your task is to track the locations and beliefs in stories about object placement asked in the question.

[APPROACH]
You will solve the problem by tracking the location of the agent, location of the object, and the agent's belief of the object.
1. Initial Setup: set up agent's starting location, object's starting location, agent's initial belief on the object's location. Note that if an agent does not see an object at the start, their belief on the object is None.
2. Then, track step-by-step:
* If a step involves that the agent moves to another room, leaves a room, or enters a room, you should update the agent's location. Note that if the agent leaves the current room but hasn't entered another room, the agent's location is None.
* If a step involves the object of interest moving, you should update the object's location.
* To keep track of the agent's belief on the object: If the agent and the object are in the same room, the agent can see the object, so the agent's belief will reflect the true location of the object. If the agent cannot see the object (the agent is in a different room or not in any rooms), the agent's belief will remain unchanged until the agent sees the object again.
3. Format your output exactly as shown in example answers below.

[EXAMPLE STORY1]
Step 0: Catherine is in the patio; Kristin is in the patio; the pencil sharpener is on the sauna's table; the thread spool is on the sauna's table.
Step 1: Catherine moves to the sauna.
Step 2: Catherine moves to the patio.
Step 3: Catherine moves to the sauna.
Step 4: Catherine moves the pencil sharpener to the sauna's nightstand.
Step 5: Catherine moves to the patio.
Step 6: Kristin moves to the sauna.
Step 7: Catherine moves to the sauna.
Step 8: Kristin leaves the room he was in.
Step 9: Catherine moves the thread spool to the sauna's nightstand.
Step 10: Kristin enters the patio.

[EXAMPLE QUESTION1]
Where does Catherine believe the thread spool is?

[EXAMPLE ANSWER1]
Catherine's belief on the thread spool:
- Step 0: (initial state) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: None}
- Step 1: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 2: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 3: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 4: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 5: (Catherine location changed; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 6: (Catherine location unchanged; thread spool location unchanged) {Catherine location: patio; thread spool location: sauna's table; Catherine sees thread spool: False; Catherine's belief on thread spool: sauna's table}
- Step 7: (Catherine location changed; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 8: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's table; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's table}
- Step 9: (Catherine location unchanged; thread spool location changed) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
- Step 10: (Catherine location unchanged; thread spool location unchanged) {Catherine location: sauna; thread spool location: sauna's nightstand; Catherine sees thread spool: True; Catherine's belief on thread spool: sauna's nightstand}
Final Answer: the sauna's nightstand

[EXAMPLE STORY2]
Step 0: Kathryn is in the storage room; Mitchell is in the storage room; the rubber band is on the patio's coffee table; the fuse is on the patio's coffee table.
Step 1: Kathryn moves to the patio.
Step 2: Kathryn moves to the storage room, and moves the fuse to the storage room's ledge.
Step 3: Kathryn moves the fuse to the storage room's coffee table.
Step 4: Mitchell leaves the room he was in.
Step 5: Kathryn moves the fuse to the storage room's ledge.
Step 6: Mitchell enters the storage room.
Step 7: Kathryn moves to the patio, and moves the fuse to the patio's ledge.
Step 8: Kathryn moves the rubber band to the patio's ledge.
Step 9: Kathryn moves to the storage room, and moves the rubber band to the storage room's ledge.
Step 10: Mitchell moves the rubber band to the storage room's coffee table.

[EXAMPLE QUESTION2]
Where does Kathryn believe the fuse is?

[EXAMPLE ANSWER2]
Kathryn's belief on the fuse:
- Step 0: (initial state) {Kathryn location: storage room; fuse location: patio's coffee table; Kathryn sees fuse: False; Kathryn's belief on fuse: None}
- Step 1: (Kathryn location changed; fuse location unchanged) {Kathryn location: patio; fuse location: patio's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's coffee table}
- Step 2: (Kathryn location changed; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 3: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 4: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's coffee table; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's coffee table}
- Step 5: (Kathryn location unchanged; fuse location changed) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 6: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: storage room's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: storage room's ledge}
- Step 7: (Kathryn location changed; fuse location changed) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 8: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: patio; fuse location: patio's ledge; Kathryn sees fuse: True; Kathryn's belief on fuse: patio's ledge}
- Step 9: (Kathryn location changed; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
- Step 10: (Kathryn location unchanged; fuse location unchanged) {Kathryn location: storage room; fuse location: patio's ledge; Kathryn sees fuse: False; Kathryn's belief on fuse: patio's ledge}
Final Answer: the patio's ledge

[PROBLEM]
Read the following story and answer the question. Please carefully follow the approach and examples provided above when solving the problem. Remember that the output format should follow the examples.

[STORY]
Step 0: Angela is in the bedroom; Joel is in the bedroom; the remote is on the bedroom's workbench; the playing card is on the bedroom's cabinet top.
Step 1: Angela moves to the living room, and moves the playing card to the living room's cabinet top.
Step 2: Joel leaves the room he was in.
Step 3: Angela leaves the room he was in.
Step 4: Joel enters the living room.
Step 5: Angela enters the bedroom.
Step 6: Joel moves to the bedroom.
Step 7: Angela moves the remote to the bedroom's cabinet top.
Step 8: Joel moves the remote to the bedroom's workbench.
Step 9: Angela moves the remote to the bedroom's cabinet top.
Step 10: Joel moves to the living room, and moves the remote to the living room's workbench.
Step 11: Angela moves to the living room.
Step 12: Joel moves to the bedroom.
Step 13: Angela moves to the bedroom.
Step 14: Joel moves to the living room.
Step 15: Angela moves to the living room.
Step 16: Joel moves to the bedroom, and moves the playing card to the bedroom's cabinet top.
Step 17: Angela moves the remote to the living room's cabinet top.
Step 18: Joel moves to the living room.
Step 19: Angela leaves the room he was in.
Step 20: Joel moves to the bedroom.
Step 21: Angela enters the bedroom.
Step 22: Joel leaves the room he was in.
Step 23: Angela leaves the room he was in.
Step 24: Joel enters the bedroom.
Step 25: Angela enters the bedroom.
Step 26: Joel leaves the room he was in.
Step 27: Angela moves the playing card to the bedroom's workbench.
Step 28: Joel enters the living room.
Step 29: Angela leaves the room he was in.
Step 30: Joel leaves the room he was in.
Step 31: Angela enters the bedroom.
Step 32: Joel enters the bedroom.
Step 33: Angela moves to the living room.
Step 34: Joel leaves the room he was in.
Step 35: Angela moves to the bedroom, and moves the remote to the bedroom's cabinet top.
Step 36: Joel enters the bedroom.
Step 37: Angela moves to the living room.
Step 38: Joel leaves the room he was in.
Step 39: Angela moves to the bedroom.
Step 40: Joel enters the bedroom.

[QUESTION]
Where does Angela believe the playing card is?

[YOUR ANSWER]

Angela's belief on the playing card:
- Step 0: (initial state) {Angela location: bedroom; playing card location: bedroom's cabinet top; Angela sees playing card: True; Angela's belief on playing card: bedroom's cabinet top}
- Step 1: (Angela location changed; playing card location changed) {Angela location: living room; playing card location: living room's cabinet top; Angela sees playing card: True; Angela's belief on playing card: living room's cabinet top}
- Step 2: (Angela location unchanged; playing card location unchanged) {Angela location: living room; playing card location: living room's cabinet top; Angela sees playing card: True; Angela's belief on playing card: living room's cabinet top}
- Step 3: (Angela location changed; playing card location unchanged) {Angela location: None; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 4: (Angela location unchanged; playing card location unchanged) {Angela location: None; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 5: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 6: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 7: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 8: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 9: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 10: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 11: (Angela location changed; playing card location unchanged) {Angela location: living room; playing card location: living room's cabinet top; Angela sees playing card: True; Angela's belief on playing card: living room's cabinet top}
- Step 12: (Angela location unchanged; playing card location unchanged) {Angela location: living room; playing card location: living room's cabinet top; Angela sees playing card: True; Angela's belief on playing card: living room's cabinet top}
- Step 13: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 14: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: living room's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 15: (Angela location changed; playing card location unchanged) {Angela location: living room; playing card location: living room's cabinet top; Angela sees playing card: True; Angela's belief on playing card: living room's cabinet top}
- Step 16: (Angela location unchanged; playing card location changed) {Angela location: living room; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 17: (Angela location unchanged; playing card location unchanged) {Angela location: living room; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 18: (Angela location unchanged; playing card location unchanged) {Angela location: living room; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 19: (Angela location changed; playing card location unchanged) {Angela location: None; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 20: (Angela location unchanged; playing card location unchanged) {Angela location: None; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: living room's cabinet top}
- Step 21: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's cabinet top; Angela sees playing card: True; Angela's belief on playing card: bedroom's cabinet top}
- Step 22: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's cabinet top; Angela sees playing card: True; Angela's belief on playing card: bedroom's cabinet top}
- Step 23: (Angela location changed; playing card location unchanged) {Angela location: None; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: bedroom's cabinet top}
- Step 24: (Angela location unchanged; playing card location unchanged) {Angela location: None; playing card location: bedroom's cabinet top; Angela sees playing card: False; Angela's belief on playing card: bedroom's cabinet top}
- Step 25: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's cabinet top; Angela sees playing card: True; Angela's belief on playing card: bedroom's cabinet top}
- Step 26: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's cabinet top; Angela sees playing card: True; Angela's belief on playing card: bedroom's cabinet top}
- Step 27: (Angela location unchanged; playing card location changed) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 28: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 29: (Angela location changed; playing card location unchanged) {Angela location: None; playing card location: bedroom's workbench; Angela sees playing card: False; Angela's belief on playing card: bedroom's workbench}
- Step 30: (Angela location unchanged; playing card location unchanged) {Angela location: None; playing card location: bedroom's workbench; Angela sees playing card: False; Angela's belief on playing card: bedroom's workbench}
- Step 31: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 32: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 33: (Angela location changed; playing card location unchanged) {Angela location: living room; playing card location: bedroom's workbench; Angela sees playing card: False; Angela's belief on playing card: bedroom's workbench}
- Step 34: (Angela location unchanged; playing card location unchanged) {Angela location: living room; playing card location: bedroom's workbench; Angela sees playing card: False; Angela's belief on playing card: bedroom's workbench}
- Step 35: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 36: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 37: (Angela location changed; playing card location unchanged) {Angela location: living room; playing card location: bedroom's workbench; Angela sees playing card: False; Angela's belief on playing card: bedroom's workbench}
- Step 38: (Angela location unchanged; playing card location unchanged) {Angela location: living room; playing card location: bedroom's workbench; Angela sees playing card: False; Angela's belief on playing card: bedroom's workbench}
- Step 39: (Angela location changed; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
- Step 40: (Angela location unchanged; playing card location unchanged) {Angela location: bedroom; playing card location: bedroom's workbench; Angela sees playing card: True; Angela's belief on playing card: bedroom's workbench}
Final Answer: the bedroom's workbench

Question: Where does Angela believe the playing card is?

Agents: [Angela, Joel].
Objects: [the remote, the playing card].
Rooms: [the living room, the bedroom].
Containers: [the living room's cabinet top, the living room's workbench, the bedroom's cabinet top, the bedroom's workbench]