[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: Carol is in the mudroom; Todd is in the patio; the fuse is on the patio's coffee table; the watch is on the patio's coffee table.
Step 1: Todd moves to the mudroom, and moves the fuse to the mudroom's coffee table.
Step 2: Todd leaves the room he was in.
Step 3: Carol moves to the patio, and moves the fuse to the patio's coffee table.
Step 4: Todd enters the mudroom.
Step 5: Carol moves to the mudroom.
Step 6: Todd moves to the patio.
Step 7: Todd leaves the room he was in.
Step 8: Todd enters the mudroom.
Step 9: Carol moves to the patio.
Step 10: Todd moves to the patio.
Step 11: Carol moves to the mudroom.
Step 12: Todd moves the watch to the patio's cabinet top.
Step 13: Carol moves to the patio.
Step 14: Todd moves the watch to the patio's coffee table.
Step 15: Carol moves to the mudroom, and moves the watch to the mudroom's coffee table.
Step 16: Todd leaves the room he was in.
Step 17: Carol moves the watch to the mudroom's cabinet top.
Step 18: Todd enters the patio.
Step 19: Carol moves to the patio, and moves the watch to the patio's cabinet top.
Step 20: Todd moves the fuse to the patio's cabinet top.
Step 21: Carol moves to the mudroom.
Step 22: Todd moves to the mudroom.
Step 23: Carol moves to the patio.
Step 24: Todd moves to the patio.
Step 25: Carol moves the fuse to the patio's coffee table.
Step 26: Todd moves to the mudroom.
Step 27: Carol moves the fuse to the patio's cabinet top.
Step 28: Carol moves to the mudroom.
Step 29: Carol moves to the patio.
Step 30: Carol moves the watch to the patio's coffee table.
Step 31: Carol moves to the mudroom.
Step 32: Todd moves to the patio.
Step 33: Carol moves to the patio.
Step 34: Todd leaves the room he was in.
Step 35: Carol moves to the mudroom.
Step 36: Todd enters the mudroom.
Step 37: Carol moves to the patio.
Step 38: Todd moves to the patio.
Step 39: Carol moves to the mudroom, and moves the fuse to the mudroom's cabinet top.
Step 40: Todd moves the watch to the patio's cabinet top.

[QUESTION]
Where does Carol believe the fuse is?

[YOUR ANSWER]

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

Question: Where does Carol believe the fuse is?

Agents: [Carol, Todd].
Objects: [the fuse, the watch].
Rooms: [the patio, the mudroom].
Containers: [the patio's cabinet top, the patio's coffee table, the mudroom's cabinet top, the mudroom's coffee table]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Elizabeth believe the pebble is?

[YOUR ANSWER]

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

Question: Where does Elizabeth believe the pebble is?

Agents: [Elizabeth, Chris].
Objects: [the pencil case, the pebble].
Rooms: [the game room, the office].
Containers: [the game room's counter, the game room's tray, the office's counter, the office's tray]


[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: Alicia is in the bedroom; Erin is in the lounge; the eyeglass cloth is on the lounge's counter; the memory card is on the bedroom's pedestal.
Step 1: Alicia moves to the lounge, and moves the memory card to the lounge's pedestal.
Step 2: Erin moves to the bedroom, and moves the eyeglass cloth to the bedroom's pedestal.
Step 3: Alicia moves to the bedroom.
Step 4: Erin leaves the room he was in.
Step 5: Alicia moves the eyeglass cloth to the bedroom's counter.
Step 6: Erin enters the bedroom.
Step 7: Alicia moves to the lounge.
Step 8: Erin moves to the lounge.
Step 9: Alicia moves to the bedroom.
Step 10: Erin moves to the bedroom.
Step 11: Alicia leaves the room he was in.
Step 12: Erin leaves the room he was in.
Step 13: Alicia enters the bedroom.
Step 14: Erin enters the bedroom.
Step 15: Alicia moves to the lounge.
Step 16: Erin moves to the lounge.
Step 17: Alicia moves the memory card to the lounge's counter.
Step 18: Erin moves the memory card to the lounge's pedestal.
Step 19: Alicia leaves the room he was in.
Step 20: Erin moves to the bedroom.
Step 21: Alicia enters the lounge.
Step 22: Erin moves to the lounge.
Step 23: Alicia moves to the bedroom.
Step 24: Erin moves to the bedroom.
Step 25: Alicia moves to the lounge.
Step 26: Erin moves to the lounge.
Step 27: Alicia moves to the bedroom, and moves the memory card to the bedroom's pedestal.
Step 28: Erin moves to the bedroom.
Step 29: Alicia moves to the lounge.
Step 30: Erin leaves the room he was in.
Step 31: Alicia moves to the bedroom.
Step 32: Erin enters the lounge.
Step 33: Alicia moves the eyeglass cloth to the bedroom's pedestal.
Step 34: Alicia moves to the lounge, and moves the eyeglass cloth to the lounge's counter.
Step 35: Alicia leaves the room he was in.
Step 36: Erin moves to the bedroom, and moves the eyeglass cloth to the bedroom's counter.
Step 37: Alicia enters the lounge.
Step 38: Erin moves to the lounge.
Step 39: Alicia moves to the bedroom.
Step 40: Erin moves to the bedroom.

[QUESTION]
Where does Alicia believe the eyeglass cloth is?

[YOUR ANSWER]

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

Question: Where does Alicia believe the eyeglass cloth is?

Agents: [Alicia, Erin].
Objects: [the eyeglass cloth, the memory card].
Rooms: [the bedroom, the lounge].
Containers: [the bedroom's pedestal, the bedroom's counter, the lounge's pedestal, the lounge's counter]


[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: Ebony is in the laundry room; William is in the laundry room; the chewing gum is on the laundry room's nightstand; the notebook is on the laundry room's nightstand.
Step 1: Ebony moves to the game room.
Step 2: William moves the notebook to the laundry room's mantel.
Step 3: Ebony moves to the laundry room.
Step 4: William moves the chewing gum to the laundry room's mantel.
Step 5: Ebony leaves the room he was in.
Step 6: William moves the chewing gum to the laundry room's nightstand.
Step 7: Ebony enters the laundry room.
Step 8: William moves to the game room, and moves the notebook to the game room's mantel.
Step 9: Ebony moves the chewing gum to the laundry room's mantel.
Step 10: William leaves the room he was in.
Step 11: Ebony leaves the room he was in.
Step 12: William enters the laundry room.
Step 13: Ebony enters the game room.
Step 14: William moves to the game room.
Step 15: Ebony leaves the room he was in.
Step 16: William leaves the room he was in.
Step 17: Ebony enters the laundry room.
Step 18: William enters the game room.
Step 19: Ebony moves the chewing gum to the laundry room's nightstand.
Step 20: William moves to the laundry room, and moves the notebook to the laundry room's mantel.
Step 21: Ebony moves to the game room.
Step 22: William moves the notebook to the laundry room's nightstand.
Step 23: William leaves the room he was in.
Step 24: William enters the laundry room.
Step 25: William moves the chewing gum to the laundry room's mantel.
Step 26: William moves to the game room.
Step 27: Ebony moves to the laundry room.
Step 28: Ebony moves to the game room.
Step 29: Ebony moves to the laundry room.
Step 30: William moves to the laundry room.
Step 31: Ebony moves to the game room, and moves the notebook to the game room's mantel.
Step 32: William leaves the room he was in.
Step 33: Ebony moves to the laundry room, and moves the notebook to the laundry room's nightstand.
Step 34: William enters the game room.
Step 35: Ebony moves the chewing gum to the laundry room's nightstand.
Step 36: Ebony moves the chewing gum to the laundry room's mantel.
Step 37: Ebony moves to the game room.
Step 38: William moves to the laundry room.
Step 39: William moves to the game room.
Step 40: William moves to the laundry room.

[QUESTION]
Where does Ebony believe the notebook is?

[YOUR ANSWER]

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

Question: Where does Ebony believe the notebook is?

Agents: [Ebony, William].
Objects: [the chewing gum, the notebook].
Rooms: [the game room, the laundry room].
Containers: [the game room's mantel, the game room's nightstand, the laundry room's mantel, the laundry room's nightstand]


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

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

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

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

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

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

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

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

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

[STORY]
Step 0: Bradley is in the nursery; Alicia is in the nursery; the orange is on the nursery's pallet; the stress ball is on the nursery's desk.
Step 1: Bradley moves to the sauna.
Step 2: Alicia moves to the sauna.
Step 3: Bradley moves to the nursery.
Step 4: Bradley moves to the sauna.
Step 5: Bradley moves to the nursery.
Step 6: Alicia moves to the nursery.
Step 7: Bradley moves to the sauna.
Step 8: Alicia moves the stress ball to the nursery's pallet.
Step 9: Alicia moves to the sauna.
Step 10: Alicia moves to the nursery.
Step 11: Bradley moves to the nursery.
Step 12: Alicia moves to the sauna, and moves the orange to the sauna's desk.
Step 13: Bradley moves to the sauna, and moves the stress ball to the sauna's pallet.
Step 14: Alicia moves to the nursery, and moves the orange to the nursery's pallet.
Step 15: Bradley leaves the room he was in.
Step 16: Alicia leaves the room he was in.
Step 17: Bradley enters the sauna.
Step 18: Alicia enters the nursery.
Step 19: Bradley leaves the room he was in.
Step 20: Alicia leaves the room he was in.
Step 21: Bradley enters the nursery.
Step 22: Alicia enters the nursery.
Step 23: Bradley moves to the sauna, and moves the orange to the sauna's pallet.
Step 24: Alicia moves to the sauna.
Step 25: Bradley moves to the nursery, and moves the stress ball to the nursery's pallet.
Step 26: Alicia moves to the nursery.
Step 27: Bradley moves to the sauna, and moves the stress ball to the sauna's desk.
Step 28: Bradley moves to the nursery, and moves the orange to the nursery's desk.
Step 29: Bradley moves to the sauna, and moves the orange to the sauna's desk.
Step 30: Bradley moves the stress ball to the sauna's pallet.
Step 31: Bradley moves to the nursery.
Step 32: Alicia moves to the sauna.
Step 33: Bradley moves to the sauna.
Step 34: Alicia leaves the room he was in.
Step 35: Bradley moves the stress ball to the sauna's desk.
Step 36: Alicia enters the sauna.
Step 37: Bradley moves to the nursery, and moves the orange to the nursery's desk.
Step 38: Alicia moves the stress ball to the sauna's pallet.
Step 39: Bradley moves to the sauna, and moves the orange to the sauna's desk.
Step 40: Alicia moves to the nursery.

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

[YOUR ANSWER]

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

Question: Where does Alicia believe the stress ball is?

Agents: [Bradley, Alicia].
Objects: [the orange, the stress ball].
Rooms: [the nursery, the sauna].
Containers: [the nursery's pallet, the nursery's desk, the sauna's pallet, the sauna's desk]