[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: Kenneth is in the craft room; Arthur is in the craft room; the flash drive is on the foyer's side table; the chewing gum is on the craft room's side table.
Step 1: Kenneth moves to the foyer.
Step 2: Arthur moves the chewing gum to the craft room's ledge.
Step 3: Kenneth moves to the craft room, and moves the flash drive to the craft room's side table.
Step 4: Arthur moves to the foyer.
Step 5: Kenneth moves to the foyer, and moves the chewing gum to the foyer's side table.
Step 6: Arthur moves to the craft room, and moves the chewing gum to the craft room's side table.
Step 7: Arthur leaves the room he was in.
Step 8: Arthur enters the foyer.
Step 9: Kenneth moves to the craft room.
Step 10: Kenneth leaves the room he was in.
Step 11: Kenneth enters the foyer.
Step 12: Arthur moves to the craft room.
Step 13: Kenneth moves to the craft room.
Step 14: Arthur leaves the room he was in.
Step 15: Kenneth moves to the foyer.
Step 16: Arthur enters the craft room.
Step 17: Arthur moves the flash drive to the craft room's ledge.
Step 18: Arthur leaves the room he was in.
Step 19: Kenneth moves to the craft room.
Step 20: Arthur enters the craft room.
Step 21: Kenneth moves the flash drive to the craft room's side table.
Step 22: Arthur leaves the room he was in.
Step 23: Kenneth moves to the foyer, and moves the chewing gum to the foyer's side table.
Step 24: Arthur enters the foyer.
Step 25: Kenneth moves the chewing gum to the foyer's ledge.
Step 26: Arthur moves to the craft room.
Step 27: Kenneth moves the chewing gum to the foyer's side table.
Step 28: Arthur leaves the room he was in.
Step 29: Kenneth moves to the craft room, and moves the chewing gum to the craft room's ledge.
Step 30: Arthur enters the craft room.
Step 31: Kenneth leaves the room he was in.
Step 32: Arthur moves to the foyer, and moves the flash drive to the foyer's side table.
Step 33: Kenneth enters the craft room.
Step 34: Arthur moves the flash drive to the foyer's ledge.
Step 35: Kenneth leaves the room he was in.
Step 36: Arthur moves the flash drive to the foyer's side table.
Step 37: Kenneth enters the craft room.
Step 38: Arthur moves to the craft room, and moves the flash drive to the craft room's ledge.
Step 39: Kenneth moves to the foyer.
Step 40: Arthur moves to the foyer, and moves the chewing gum to the foyer's ledge.

[QUESTION]
Where does Kenneth believe the chewing gum is?

[YOUR ANSWER]

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

Question: Where does Kenneth believe the chewing gum is?

Agents: [Kenneth, Arthur].
Objects: [the flash drive, the chewing gum].
Rooms: [the craft room, the foyer].
Containers: [the craft room's ledge, the craft room's side table, the foyer's ledge, the foyer's side table]


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

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

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

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

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

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

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

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

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

[STORY]
Step 0: Kevin is in the study; Benjamin is in the study; the button is on the attic's bar; the light bulb is on the attic's pedestal.
Step 1: Kevin moves to the attic.
Step 2: Kevin moves to the study.
Step 3: Kevin moves to the attic.
Step 4: Kevin moves to the study.
Step 5: Kevin moves to the attic.
Step 6: Kevin moves the button to the attic's pedestal.
Step 7: Kevin moves to the study, and moves the light bulb to the study's pedestal.
Step 8: Benjamin moves to the attic.
Step 9: Kevin leaves the room he was in.
Step 10: Benjamin moves the button to the attic's bar.
Step 11: Kevin enters the study.
Step 12: Benjamin moves the button to the attic's pedestal.
Step 13: Kevin moves to the attic.
Step 14: Benjamin leaves the room he was in.
Step 15: Kevin moves to the study.
Step 16: Benjamin enters the attic.
Step 17: Kevin moves to the attic, and moves the light bulb to the attic's pedestal.
Step 18: Benjamin moves to the study.
Step 19: Kevin moves to the study, and moves the light bulb to the study's bar.
Step 20: Benjamin moves to the attic, and moves the light bulb to the attic's bar.
Step 21: Kevin moves to the attic.
Step 22: Benjamin leaves the room he was in.
Step 23: Kevin moves to the study, and moves the button to the study's bar.
Step 24: Benjamin enters the study.
Step 25: Kevin moves the button to the study's pedestal.
Step 26: Benjamin moves the button to the study's bar.
Step 27: Kevin leaves the room he was in.
Step 28: Benjamin moves to the attic.
Step 29: Kevin enters the study.
Step 30: Benjamin moves the light bulb to the attic's pedestal.
Step 31: Kevin leaves the room he was in.
Step 32: Benjamin leaves the room he was in.
Step 33: Kevin enters the study.
Step 34: Benjamin enters the study.
Step 35: Kevin leaves the room he was in.
Step 36: Benjamin leaves the room he was in.
Step 37: Kevin enters the attic.
Step 38: Benjamin enters the study.
Step 39: Kevin leaves the room he was in.
Step 40: Benjamin leaves the room he was in.

[QUESTION]
Where does Benjamin believe the light bulb is?

[YOUR ANSWER]

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

Question: Where does Benjamin believe the light bulb is?

Agents: [Kevin, Benjamin].
Objects: [the button, the light bulb].
Rooms: [the study, the attic].
Containers: [the study's pedestal, the study's bar, the attic's pedestal, the attic's bar]


[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: Dustin is in the hallway; Judy is in the patio; the screw is on the hallway's stand; the guitar pick is on the hallway's rack.
Step 1: Dustin moves to the patio, and moves the screw to the patio's rack.
Step 2: Judy moves to the hallway.
Step 3: Dustin moves to the hallway.
Step 4: Judy moves to the patio, and moves the guitar pick to the patio's rack.
Step 5: Judy moves to the hallway.
Step 6: Judy moves to the patio.
Step 7: Judy leaves the room he was in.
Step 8: Judy enters the patio.
Step 9: Dustin moves to the patio.
Step 10: Judy moves to the hallway, and moves the screw to the hallway's rack.
Step 11: Dustin moves to the hallway, and moves the guitar pick to the hallway's rack.
Step 12: Judy moves the screw to the hallway's stand.
Step 13: Dustin moves the guitar pick to the hallway's stand.
Step 14: Judy moves to the patio, and moves the screw to the patio's stand.
Step 15: Dustin moves to the patio, and moves the guitar pick to the patio's stand.
Step 16: Judy moves to the hallway.
Step 17: Dustin leaves the room he was in.
Step 18: Judy moves to the patio.
Step 19: Dustin enters the patio.
Step 20: Judy leaves the room he was in.
Step 21: Dustin moves to the hallway.
Step 22: Judy enters the patio.
Step 23: Dustin moves to the patio.
Step 24: Judy moves the screw to the patio's rack.
Step 25: Dustin moves the guitar pick to the patio's rack.
Step 26: Judy moves to the hallway, and moves the screw to the hallway's rack.
Step 27: Dustin moves the guitar pick to the patio's stand.
Step 28: Judy moves the screw to the hallway's stand.
Step 29: Dustin leaves the room he was in.
Step 30: Judy moves the screw to the hallway's rack.
Step 31: Dustin enters the patio.
Step 32: Judy moves the screw to the hallway's stand.
Step 33: Dustin moves the guitar pick to the patio's rack.
Step 34: Judy leaves the room he was in.
Step 35: Dustin leaves the room he was in.
Step 36: Judy enters the patio.
Step 37: Dustin enters the hallway.
Step 38: Judy leaves the room he was in.
Step 39: Dustin moves to the patio.
Step 40: Judy enters the hallway.

[QUESTION]
Where does Dustin believe the guitar pick is?

[YOUR ANSWER]

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

Question: Where does Dustin believe the guitar pick is?

Agents: [Dustin, Judy].
Objects: [the screw, the guitar pick].
Rooms: [the patio, the hallway].
Containers: [the patio's stand, the patio's rack, the hallway's stand, the hallway's rack]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Ashley believe the pill bottle is?

[YOUR ANSWER]

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

Question: Where does Ashley believe the pill bottle is?

Agents: [Caroline, Ashley].
Objects: [the contact lens case, the pill bottle].
Rooms: [the craft room, the library].
Containers: [the craft room's workbench, the craft room's side table, the library's workbench, the library's side table]


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

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

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

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

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

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

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

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

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

[STORY]
Step 0: Ashlee is in the mudroom; Richard is in the garage; the USB cable is on the garage's table; the screw is on the mudroom's table.
Step 1: Ashlee moves the screw to the mudroom's display case.
Step 2: Richard moves the USB cable to the garage's display case.
Step 3: Ashlee leaves the room he was in.
Step 4: Richard moves to the mudroom.
Step 5: Ashlee enters the mudroom.
Step 6: Richard leaves the room he was in.
Step 7: Ashlee moves to the garage, and moves the screw to the garage's table.
Step 8: Richard enters the mudroom.
Step 9: Ashlee moves to the mudroom.
Step 10: Richard moves to the garage.
Step 11: Ashlee moves to the garage.
Step 12: Richard leaves the room he was in.
Step 13: Ashlee moves to the mudroom, and moves the USB cable to the mudroom's display case.
Step 14: Richard enters the garage.
Step 15: Ashlee moves the USB cable to the mudroom's table.
Step 16: Richard leaves the room he was in.
Step 17: Ashlee moves to the garage.
Step 18: Richard enters the garage.
Step 19: Ashlee moves to the mudroom, and moves the screw to the mudroom's display case.
Step 20: Richard moves to the mudroom.
Step 21: Ashlee moves to the garage.
Step 22: Richard moves to the garage, and moves the USB cable to the garage's table.
Step 23: Ashlee moves to the mudroom.
Step 24: Richard moves to the mudroom.
Step 25: Ashlee moves to the garage, and moves the screw to the garage's table.
Step 26: Richard moves to the garage.
Step 27: Ashlee leaves the room he was in.
Step 28: Richard moves the screw to the garage's display case.
Step 29: Ashlee enters the mudroom.
Step 30: Richard moves the USB cable to the garage's display case.
Step 31: Richard moves the USB cable to the garage's table.
Step 32: Richard leaves the room he was in.
Step 33: Ashlee moves to the garage.
Step 34: Richard enters the mudroom.
Step 35: Ashlee moves the screw to the garage's table.
Step 36: Ashlee moves the USB cable to the garage's display case.
Step 37: Ashlee moves the screw to the garage's display case.
Step 38: Richard moves to the garage.
Step 39: Ashlee moves to the mudroom, and moves the screw to the mudroom's table.
Step 40: Richard leaves the room he was in.

[QUESTION]
Where does Ashlee believe the screw is?

[YOUR ANSWER]

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

Question: Where does Ashlee believe the screw is?

Agents: [Ashlee, Richard].
Objects: [the USB cable, the screw].
Rooms: [the garage, the mudroom].
Containers: [the garage's table, the garage's display case, the mudroom's table, the mudroom's display case]