[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 playroom; Jonathan is in the playroom; the memory card is on the playroom's coffee table; the soap bar is on the home theater's tv stand.
Step 1: Stacey moves to the home theater, and moves the memory card to the home theater's coffee table.
Step 2: Jonathan moves to the home theater.
Step 3: Stacey moves to the playroom.
Step 4: Jonathan moves to the playroom.
Step 5: Stacey moves to the home theater.
Step 6: Stacey moves to the playroom, and moves the soap bar to the playroom's coffee table.
Step 7: Stacey moves to the home theater.
Step 8: Jonathan moves to the home theater.
Step 9: Stacey moves the memory card to the home theater's tv stand.
Step 10: Jonathan moves to the playroom, and moves the memory card to the playroom's coffee table.
Step 11: Stacey moves to the playroom.
Step 12: Jonathan moves the soap bar to the playroom's tv stand.
Step 13: Stacey leaves the room he was in.
Step 14: Jonathan leaves the room he was in.
Step 15: Stacey enters the playroom.
Step 16: Jonathan enters the home theater.
Step 17: Stacey moves the soap bar to the playroom's coffee table.
Step 18: Stacey moves to the home theater, and moves the memory card to the home theater's tv stand.
Step 19: Stacey moves to the playroom, and moves the memory card to the playroom's coffee table.
Step 20: Stacey leaves the room he was in.
Step 21: Stacey enters the playroom.
Step 22: Stacey moves to the home theater.
Step 23: Stacey moves to the playroom.
Step 24: Jonathan moves to the playroom.
Step 25: Stacey leaves the room he was in.
Step 26: Jonathan moves the soap bar to the playroom's tv stand.
Step 27: Stacey enters the home theater.
Step 28: Jonathan moves the soap bar to the playroom's coffee table.
Step 29: Jonathan moves the memory card to the playroom's tv stand.
Step 30: Jonathan moves the soap bar to the playroom's tv stand.
Step 31: Stacey moves to the playroom.
Step 32: Jonathan moves the memory card to the playroom's coffee table.
Step 33: Stacey moves the soap bar to the playroom's coffee table.
Step 34: Jonathan moves to the home theater.
Step 35: Stacey leaves the room he was in.
Step 36: Jonathan moves to the playroom.
Step 37: Stacey enters the home theater.
Step 38: Jonathan moves to the home theater, and moves the memory card to the home theater's tv stand.
Step 39: Stacey leaves the room he was in.
Step 40: Jonathan leaves the room he was in.

[QUESTION]
Where does Stacey believe the memory card is?

[YOUR ANSWER]

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

Question: Where does Stacey believe the memory card is?

Agents: [Stacey, Jonathan].
Objects: [the memory card, the soap bar].
Rooms: [the home theater, the playroom].
Containers: [the home theater's coffee table, the home theater's tv stand, the playroom's coffee table, the playroom's tv stand]


[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: Jose is in the sauna; Holly is in the sauna; the contact lens case is on the sauna's nightstand; the key is on the guest room's nightstand.
Step 1: Jose moves to the guest room, and moves the contact lens case to the guest room's nightstand.
Step 2: Jose moves to the sauna.
Step 3: Jose moves to the guest room.
Step 4: Holly moves to the guest room.
Step 5: Jose moves to the sauna, and moves the key to the sauna's nightstand.
Step 6: Holly moves the contact lens case to the guest room's stand.
Step 7: Jose moves to the guest room.
Step 8: Holly moves the contact lens case to the guest room's nightstand.
Step 9: Jose moves the contact lens case to the guest room's stand.
Step 10: Holly moves the contact lens case to the guest room's nightstand.
Step 11: Jose moves to the sauna.
Step 12: Holly moves to the sauna, and moves the contact lens case to the sauna's stand.
Step 13: Jose moves to the guest room.
Step 14: Holly moves to the guest room.
Step 15: Jose moves to the sauna.
Step 16: Jose moves to the guest room.
Step 17: Jose moves to the sauna.
Step 18: Jose leaves the room he was in.
Step 19: Jose enters the guest room.
Step 20: Holly moves to the sauna.
Step 21: Holly moves the key to the sauna's stand.
Step 22: Holly moves to the guest room.
Step 23: Jose moves to the sauna.
Step 24: Holly moves to the sauna.
Step 25: Jose leaves the room he was in.
Step 26: Holly moves to the guest room.
Step 27: Jose enters the sauna.
Step 28: Jose moves to the guest room, and moves the key to the guest room's stand.
Step 29: Jose leaves the room he was in.
Step 30: Holly moves the key to the guest room's nightstand.
Step 31: Jose enters the sauna.
Step 32: Holly moves the key to the guest room's stand.
Step 33: Jose leaves the room he was in.
Step 34: Holly moves the key to the guest room's nightstand.
Step 35: Jose enters the guest room.
Step 36: Holly moves the key to the guest room's stand.
Step 37: Jose moves the key to the guest room's nightstand.
Step 38: Holly moves to the sauna, and moves the key to the sauna's stand.
Step 39: Jose moves to the sauna.
Step 40: Holly moves to the guest room, and moves the contact lens case to the guest room's stand.

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

[YOUR ANSWER]

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

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

Agents: [Jose, Holly].
Objects: [the contact lens case, the key].
Rooms: [the sauna, the guest room].
Containers: [the sauna's stand, the sauna's nightstand, the guest room's stand, the guest room's nightstand]


[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: Ryan is in the mudroom; Holly is in the office; the puzzle piece is on the mudroom's pedestal; the ticket is on the office's windowsill.
Step 1: Ryan moves to the office, and moves the puzzle piece to the office's pedestal.
Step 2: Holly leaves the room he was in.
Step 3: Ryan moves to the mudroom, and moves the ticket to the mudroom's windowsill.
Step 4: Holly enters the mudroom.
Step 5: Ryan leaves the room he was in.
Step 6: Holly moves to the office, and moves the ticket to the office's pedestal.
Step 7: Ryan enters the office.
Step 8: Holly moves to the mudroom, and moves the puzzle piece to the mudroom's pedestal.
Step 9: Ryan moves to the mudroom, and moves the ticket to the mudroom's windowsill.
Step 10: Holly moves the puzzle piece to the mudroom's windowsill.
Step 11: Ryan moves to the office.
Step 12: Holly moves to the office.
Step 13: Ryan moves to the mudroom.
Step 14: Holly moves to the mudroom.
Step 15: Ryan leaves the room he was in.
Step 16: Holly moves the puzzle piece to the mudroom's pedestal.
Step 17: Ryan enters the office.
Step 18: Holly leaves the room he was in.
Step 19: Ryan moves to the mudroom.
Step 20: Holly enters the office.
Step 21: Ryan leaves the room he was in.
Step 22: Holly moves to the mudroom.
Step 23: Ryan enters the mudroom.
Step 24: Holly leaves the room he was in.
Step 25: Ryan moves to the office.
Step 26: Holly enters the mudroom.
Step 27: Holly moves the ticket to the mudroom's pedestal.
Step 28: Holly leaves the room he was in.
Step 29: Ryan moves to the mudroom.
Step 30: Holly enters the office.
Step 31: Ryan leaves the room he was in.
Step 32: Holly moves to the mudroom.
Step 33: Ryan enters the office.
Step 34: Holly moves the puzzle piece to the mudroom's windowsill.
Step 35: Ryan moves to the mudroom.
Step 36: Holly moves to the office, and moves the ticket to the office's pedestal.
Step 37: Ryan leaves the room he was in.
Step 38: Holly moves the ticket to the office's windowsill.
Step 39: Ryan enters the mudroom.
Step 40: Holly leaves the room he was in.

[QUESTION]
Where does Ryan believe the puzzle piece is?

[YOUR ANSWER]

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

Question: Where does Ryan believe the puzzle piece is?

Agents: [Ryan, Holly].
Objects: [the puzzle piece, the ticket].
Rooms: [the mudroom, the office].
Containers: [the mudroom's pedestal, the mudroom's windowsill, the office's pedestal, the office's windowsill]


[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: Arthur is in the hallway; Patricia is in the hallway; the phone is on the living room's cabinet top; the hair tie is on the living room's sideboard.
Step 1: Arthur moves to the living room.
Step 2: Patricia moves to the living room.
Step 3: Arthur leaves the room he was in.
Step 4: Patricia leaves the room he was in.
Step 5: Arthur enters the hallway.
Step 6: Patricia enters the hallway.
Step 7: Arthur moves to the living room.
Step 8: Arthur leaves the room he was in.
Step 9: Arthur enters the hallway.
Step 10: Patricia moves to the living room.
Step 11: Arthur moves to the living room.
Step 12: Patricia moves to the hallway.
Step 13: Arthur moves the phone to the living room's sideboard.
Step 14: Patricia moves to the living room.
Step 15: Arthur moves to the hallway, and moves the hair tie to the hallway's cabinet top.
Step 16: Patricia moves to the hallway, and moves the phone to the hallway's sideboard.
Step 17: Arthur moves to the living room.
Step 18: Patricia leaves the room he was in.
Step 19: Arthur moves to the hallway.
Step 20: Patricia enters the living room.
Step 21: Arthur leaves the room he was in.
Step 22: Patricia moves to the hallway.
Step 23: Arthur enters the hallway.
Step 24: Patricia moves to the living room, and moves the hair tie to the living room's sideboard.
Step 25: Arthur moves to the living room.
Step 26: Patricia moves the hair tie to the living room's cabinet top.
Step 27: Arthur moves to the hallway, and moves the hair tie to the hallway's sideboard.
Step 28: Patricia moves to the hallway.
Step 29: Arthur moves to the living room, and moves the phone to the living room's sideboard.
Step 30: Patricia leaves the room he was in.
Step 31: Arthur leaves the room he was in.
Step 32: Patricia enters the living room.
Step 33: Arthur enters the living room.
Step 34: Patricia moves to the hallway.
Step 35: Arthur moves the phone to the living room's cabinet top.
Step 36: Patricia moves to the living room.
Step 37: Arthur moves to the hallway, and moves the phone to the hallway's sideboard.
Step 38: Patricia moves to the hallway.
Step 39: Arthur moves to the living room.
Step 40: Patricia leaves the room he was in.

[QUESTION]
Where does Arthur believe the phone is?

[YOUR ANSWER]

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

Question: Where does Arthur believe the phone is?

Agents: [Arthur, Patricia].
Objects: [the phone, the hair tie].
Rooms: [the living room, the hallway].
Containers: [the living room's sideboard, the living room's cabinet top, the hallway's sideboard, the hallway's cabinet top]


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

[QUESTION]
Where does Bradley believe the medal is?

[YOUR ANSWER]

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

Question: Where does Bradley believe the medal is?

Agents: [Bradley, Richard].
Objects: [the earring, the medal].
Rooms: [the pantry, the nursery].
Containers: [the pantry's workbench, the pantry's stool, the nursery's workbench, the nursery's stool]