[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: Stephanie is in the basement; Justin is in the closet; the fork is on the closet's bar; the lighter is on the closet's tray.
Step 1: Justin moves the lighter to the closet's bar.
Step 2: Justin moves the fork to the closet's tray.
Step 3: Justin moves the fork to the closet's bar.
Step 4: Justin moves the lighter to the closet's tray.
Step 5: Justin moves the lighter to the closet's bar.
Step 6: Justin moves the fork to the closet's tray.
Step 7: Stephanie moves to the closet.
Step 8: Justin leaves the room he was in.
Step 9: Stephanie moves to the basement, and moves the fork to the basement's bar.
Step 10: Justin enters the basement.
Step 11: Stephanie leaves the room he was in.
Step 12: Justin moves to the closet, and moves the fork to the closet's bar.
Step 13: Stephanie enters the closet.
Step 14: Justin moves the lighter to the closet's tray.
Step 15: Stephanie moves to the basement.
Step 16: Justin moves to the basement, and moves the lighter to the basement's tray.
Step 17: Stephanie leaves the room he was in.
Step 18: Justin leaves the room he was in.
Step 19: Stephanie enters the closet.
Step 20: Justin enters the closet.
Step 21: Stephanie moves to the basement.
Step 22: Justin moves the fork to the closet's tray.
Step 23: Stephanie moves to the closet, and moves the lighter to the closet's bar.
Step 24: Justin moves the fork to the closet's bar.
Step 25: Stephanie moves the lighter to the closet's tray.
Step 26: Justin moves to the basement, and moves the lighter to the basement's bar.
Step 27: Stephanie moves to the basement, and moves the fork to the basement's tray.
Step 28: Justin leaves the room he was in.
Step 29: Stephanie moves the fork to the basement's bar.
Step 30: Justin enters the basement.
Step 31: Stephanie moves the lighter to the basement's tray.
Step 32: Justin moves to the closet, and moves the lighter to the closet's bar.
Step 33: Stephanie moves the fork to the basement's tray.
Step 34: Justin moves to the basement, and moves the lighter to the basement's bar.
Step 35: Stephanie moves the fork to the basement's bar.
Step 36: Justin moves to the closet, and moves the lighter to the closet's bar.
Step 37: Stephanie moves to the closet, and moves the fork to the closet's tray.
Step 38: Justin moves to the basement.
Step 39: Stephanie leaves the room he was in.
Step 40: Justin moves to the closet.

[QUESTION]
Where does Justin believe the lighter is?

[YOUR ANSWER]

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

Question: Where does Justin believe the lighter is?

Agents: [Stephanie, Justin].
Objects: [the fork, the lighter].
Rooms: [the basement, the closet].
Containers: [the basement's tray, the basement's bar, the closet's tray, the closet's bar]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Danny believe the pencil sharpener is?

[YOUR ANSWER]

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

Question: Where does Danny believe the pencil sharpener is?

Agents: [Danny, Todd].
Objects: [the USB cable, the pencil sharpener].
Rooms: [the storage room, the basement].
Containers: [the storage room's stool, the storage room's podium, the basement's stool, the basement's podium]


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

[QUESTION]
Where does Nicole believe the feather is?

[YOUR ANSWER]

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

Question: Where does Nicole believe the feather is?

Agents: [Nicole, David].
Objects: [the feather, the guitar pick].
Rooms: [the dining room, the mudroom].
Containers: [the dining room's podium, the dining room's nightstand, the mudroom's podium, the mudroom's nightstand]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Savannah believe the condiment packet is?

[YOUR ANSWER]

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

Question: Where does Savannah believe the condiment packet is?

Agents: [Savannah, Caroline].
Objects: [the condiment packet, the toothpick].
Rooms: [the game room, the attic].
Containers: [the game room's tray, the game room's nightstand, the attic's tray, the attic's nightstand]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does John believe the pebble is?

[YOUR ANSWER]

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

Question: Where does John believe the pebble is?

Agents: [April, John].
Objects: [the business card, the pebble].
Rooms: [the dining room, the pantry].
Containers: [the dining room's shelf, the dining room's cabinet top, the pantry's shelf, the pantry's cabinet top]