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

[QUESTION]
Where does Nicole believe the stress ball is?

[YOUR ANSWER]

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

Question: Where does Nicole believe the stress ball is?

Agents: [Laurie, Nicole].
Objects: [the stress ball, the orange].
Rooms: [the nursery, the kitchen].
Containers: [the nursery's pallet, the nursery's stool, the kitchen's pallet, the kitchen's stool]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Evan believe the stamp is?

[YOUR ANSWER]

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

Question: Where does Evan believe the stamp is?

Agents: [Evan, Diana].
Objects: [the stamp, the wallet].
Rooms: [the game room, the home theater].
Containers: [the game room's table, the game room's side table, the home theater's table, the home theater'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: Arthur is in the game room; Dustin is in the game room; the condiment packet is on the game room's stool; the feather is on the game room's stool.
Step 1: Arthur moves the feather to the game room's side table.
Step 2: Dustin moves to the hallway.
Step 3: Arthur moves to the hallway.
Step 4: Dustin moves to the game room.
Step 5: Arthur moves to the game room.
Step 6: Dustin moves to the hallway.
Step 7: Arthur leaves the room he was in.
Step 8: Dustin moves to the game room.
Step 9: Arthur enters the game room.
Step 10: Dustin moves to the hallway.
Step 11: Arthur moves to the hallway, and moves the condiment packet to the hallway's side table.
Step 12: Dustin leaves the room he was in.
Step 13: Arthur moves to the game room.
Step 14: Dustin enters the game room.
Step 15: Arthur moves the feather to the game room's stool.
Step 16: Dustin moves to the hallway, and moves the feather to the hallway's side table.
Step 17: Arthur moves to the hallway.
Step 18: Dustin moves the condiment packet to the hallway's stool.
Step 19: Arthur moves to the game room, and moves the condiment packet to the game room's side table.
Step 20: Dustin moves to the game room.
Step 21: Arthur leaves the room he was in.
Step 22: Dustin moves to the hallway, and moves the condiment packet to the hallway's stool.
Step 23: Arthur enters the hallway.
Step 24: Dustin moves to the game room.
Step 25: Arthur moves to the game room.
Step 26: Dustin moves to the hallway.
Step 27: Arthur moves to the hallway.
Step 28: Dustin moves the feather to the hallway's stool.
Step 29: Arthur moves the feather to the hallway's side table.
Step 30: Dustin moves the condiment packet to the hallway's side table.
Step 31: Arthur moves to the game room, and moves the feather to the game room's stool.
Step 32: Dustin leaves the room he was in.
Step 33: Arthur leaves the room he was in.
Step 34: Dustin enters the hallway.
Step 35: Arthur enters the hallway.
Step 36: Dustin moves to the game room.
Step 37: Arthur leaves the room he was in.
Step 38: Dustin moves the feather to the game room's side table.
Step 39: Arthur enters the game room.
Step 40: Dustin leaves the room he was in.

[QUESTION]
Where does Dustin believe the feather is?

[YOUR ANSWER]

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

Question: Where does Dustin believe the feather is?

Agents: [Arthur, Dustin].
Objects: [the condiment packet, the feather].
Rooms: [the game room, the hallway].
Containers: [the game room's side table, the game room's stool, the hallway's side table, the hallway's stool]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Abigail believe the battery is?

[YOUR ANSWER]

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

Question: Where does Abigail believe the battery is?

Agents: [Abigail, Carol].
Objects: [the hand warmer, the battery].
Rooms: [the gym, the craft room].
Containers: [the gym's tv stand, the gym's workbench, the craft room's tv stand, the craft room's workbench]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Kathryn believe the earring is?

[YOUR ANSWER]

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

Question: Where does Kathryn believe the earring is?

Agents: [Makayla, Kathryn].
Objects: [the nail clipper, the earring].
Rooms: [the playroom, the garage].
Containers: [the playroom's credenza, the playroom's stand, the garage's credenza, the garage's stand]