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

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

[YOUR ANSWER]

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

Question: Where does Robert believe the puzzle piece is?

Agents: [Robert, Haley].
Objects: [the puzzle piece, the watch].
Rooms: [the closet, the bathroom].
Containers: [the closet's desk, the closet's tv stand, the bathroom's desk, the bathroom's tv stand]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Tracy believe the bottle cap is?

[YOUR ANSWER]

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

Question: Where does Tracy believe the bottle cap is?

Agents: [Tracy, Kayla].
Objects: [the bottle cap, the USB cable].
Rooms: [the foyer, the bedroom].
Containers: [the foyer's bistro table, the foyer's pedestal, the bedroom's bistro table, the bedroom's pedestal]


[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: Wendy is in the laundry room; Corey is in the gym; the bottle cap is on the laundry room's side table; the earring is on the laundry room's side table.
Step 1: Wendy leaves the room he was in.
Step 2: Corey moves to the laundry room.
Step 3: Wendy enters the gym.
Step 4: Corey moves the earring to the laundry room's tv stand.
Step 5: Wendy moves to the laundry room.
Step 6: Corey moves to the gym, and moves the bottle cap to the gym's side table.
Step 7: Wendy leaves the room he was in.
Step 8: Corey moves the bottle cap to the gym's tv stand.
Step 9: Wendy enters the gym.
Step 10: Corey moves to the laundry room.
Step 11: Wendy moves the bottle cap to the gym's side table.
Step 12: Corey moves the earring to the laundry room's side table.
Step 13: Wendy leaves the room he was in.
Step 14: Corey moves to the gym.
Step 15: Wendy enters the laundry room.
Step 16: Corey moves to the laundry room, and moves the bottle cap to the laundry room's tv stand.
Step 17: Wendy moves the earring to the laundry room's tv stand.
Step 18: Corey moves the earring to the laundry room's side table.
Step 19: Wendy leaves the room he was in.
Step 20: Corey moves to the gym, and moves the bottle cap to the gym's tv stand.
Step 21: Wendy enters the gym.
Step 22: Corey moves to the laundry room.
Step 23: Wendy leaves the room he was in.
Step 24: Corey moves to the gym.
Step 25: Wendy enters the gym.
Step 26: Corey leaves the room he was in.
Step 27: Wendy moves the bottle cap to the gym's side table.
Step 28: Corey enters the gym.
Step 29: Wendy moves the bottle cap to the gym's tv stand.
Step 30: Corey leaves the room he was in.
Step 31: Wendy moves to the laundry room.
Step 32: Corey enters the gym.
Step 33: Wendy moves the earring to the laundry room's tv stand.
Step 34: Corey moves to the laundry room, and moves the bottle cap to the laundry room's tv stand.
Step 35: Wendy moves to the gym, and moves the earring to the gym's side table.
Step 36: Corey moves to the gym, and moves the bottle cap to the gym's tv stand.
Step 37: Wendy moves the earring to the gym's tv stand.
Step 38: Corey moves to the laundry room, and moves the earring to the laundry room's tv stand.
Step 39: Wendy moves the bottle cap to the gym's side table.
Step 40: Corey moves to the gym, and moves the earring to the gym's side table.

[QUESTION]
Where does Corey believe the earring is?

[YOUR ANSWER]

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

Question: Where does Corey believe the earring is?

Agents: [Wendy, Corey].
Objects: [the bottle cap, the earring].
Rooms: [the laundry room, the gym].
Containers: [the laundry room's tv stand, the laundry room's side table, the gym's tv stand, the gym's side table]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does April believe the remote is?

[YOUR ANSWER]

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

Question: Where does April believe the remote is?

Agents: [Wendy, April].
Objects: [the remote, the fork].
Rooms: [the craft room, the living room].
Containers: [the craft room's coffee table, the craft room's rack, the living room's coffee table, the living room's rack]


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

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

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

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

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

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

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

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

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

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

[QUESTION]
Where does Amanda believe the USB cable is?

[YOUR ANSWER]

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

Question: Where does Amanda believe the USB cable is?

Agents: [Kevin, Amanda].
Objects: [the USB cable, the rubber band].
Rooms: [the craft room, the living room].
Containers: [the craft room's tv stand, the craft room's stool, the living room's tv stand, the living room's stool]