[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: Corey is in the bathroom; Donna is in the sauna; the matchstick is on the sauna's bistro table; the light bulb is on the bathroom's table.
Step 1: Corey moves to the sauna.
Step 2: Donna moves the matchstick to the sauna's table.
Step 3: Corey moves to the bathroom.
Step 4: Donna leaves the room he was in.
Step 5: Corey leaves the room he was in.
Step 6: Donna enters the bathroom.
Step 7: Corey enters the bathroom.
Step 8: Donna moves to the sauna, and moves the light bulb to the sauna's table.
Step 9: Corey moves to the sauna.
Step 10: Donna moves to the bathroom, and moves the light bulb to the bathroom's bistro table.
Step 11: Corey moves the matchstick to the sauna's bistro table.
Step 12: Donna leaves the room he was in.
Step 13: Corey moves the matchstick to the sauna's table.
Step 14: Donna enters the bathroom.
Step 15: Corey leaves the room he was in.
Step 16: Donna moves the light bulb to the bathroom's table.
Step 17: Corey enters the sauna.
Step 18: Donna leaves the room he was in.
Step 19: Corey moves to the bathroom.
Step 20: Donna enters the bathroom.
Step 21: Corey leaves the room he was in.
Step 22: Donna moves to the sauna, and moves the light bulb to the sauna's bistro table.
Step 23: Corey enters the bathroom.
Step 24: Donna moves the matchstick to the sauna's bistro table.
Step 25: Donna leaves the room he was in.
Step 26: Donna enters the sauna.
Step 27: Donna leaves the room he was in.
Step 28: Donna enters the sauna.
Step 29: Donna leaves the room he was in.
Step 30: Donna enters the sauna.
Step 31: Donna moves to the bathroom, and moves the light bulb to the bathroom's bistro table.
Step 32: Donna moves the light bulb to the bathroom's table.
Step 33: Corey leaves the room he was in.
Step 34: Donna leaves the room he was in.
Step 35: Corey enters the bathroom.
Step 36: Donna enters the bathroom.
Step 37: Corey moves the light bulb to the bathroom's bistro table.
Step 38: Donna moves to the sauna.
Step 39: Corey moves the light bulb to the bathroom's table.
Step 40: Donna moves to the bathroom, and moves the matchstick to the bathroom's bistro table.

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

[YOUR ANSWER]

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

Question: Where does Donna believe the light bulb is?

Agents: [Corey, Donna].
Objects: [the matchstick, the light bulb].
Rooms: [the sauna, the bathroom].
Containers: [the sauna's table, the sauna's bistro table, the bathroom's table, the bathroom's bistro 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: Evan is in the basement; Rebecca is in the guest room; the fuse is on the guest room's pallet; the matchstick is on the basement's shelf.
Step 1: Evan moves the matchstick to the basement's pallet.
Step 2: Rebecca moves to the basement, and moves the fuse to the basement's shelf.
Step 3: Evan moves the matchstick to the basement's shelf.
Step 4: Rebecca moves to the guest room.
Step 5: Evan leaves the room he was in.
Step 6: Rebecca moves to the basement.
Step 7: Evan enters the guest room.
Step 8: Rebecca leaves the room he was in.
Step 9: Evan moves to the basement.
Step 10: Rebecca enters the guest room.
Step 11: Evan moves to the guest room.
Step 12: Rebecca moves to the basement.
Step 13: Evan moves to the basement.
Step 14: Rebecca moves to the guest room.
Step 15: Evan moves to the guest room.
Step 16: Rebecca moves to the basement.
Step 17: Rebecca moves to the guest room, and moves the fuse to the guest room's pallet.
Step 18: Rebecca moves the fuse to the guest room's shelf.
Step 19: Evan moves to the basement, and moves the fuse to the basement's shelf.
Step 20: Evan moves the matchstick to the basement's pallet.
Step 21: Evan moves to the guest room, and moves the matchstick to the guest room's pallet.
Step 22: Rebecca moves to the basement.
Step 23: Evan moves the matchstick to the guest room's shelf.
Step 24: Rebecca moves the fuse to the basement's pallet.
Step 25: Evan leaves the room he was in.
Step 26: Rebecca moves to the guest room, and moves the fuse to the guest room's pallet.
Step 27: Evan enters the basement.
Step 28: Rebecca moves to the basement.
Step 29: Evan moves to the guest room.
Step 30: Rebecca moves to the guest room.
Step 31: Evan leaves the room he was in.
Step 32: Rebecca leaves the room he was in.
Step 33: Evan enters the guest room.
Step 34: Rebecca enters the guest room.
Step 35: Evan moves to the basement, and moves the matchstick to the basement's pallet.
Step 36: Rebecca moves the fuse to the guest room's shelf.
Step 37: Evan moves to the guest room, and moves the matchstick to the guest room's pallet.
Step 38: Rebecca moves to the basement.
Step 39: Evan moves to the basement.
Step 40: Rebecca moves to the guest room.

[QUESTION]
Where does Evan believe the matchstick is?

[YOUR ANSWER]

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

Question: Where does Evan believe the matchstick is?

Agents: [Evan, Rebecca].
Objects: [the fuse, the matchstick].
Rooms: [the basement, the guest room].
Containers: [the basement's pallet, the basement's shelf, the guest room's pallet, the guest room's shelf]


[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 kitchen; Shawn is in the kitchen; the mini comb is on the lounge's sideboard; the pocket mirror is on the kitchen's ledge.
Step 1: Robert moves to the lounge, and moves the pocket mirror to the lounge's ledge.
Step 2: Shawn moves to the lounge.
Step 3: Robert moves the mini comb to the lounge's ledge.
Step 4: Shawn moves to the kitchen, and moves the pocket mirror to the kitchen's ledge.
Step 5: Robert moves to the kitchen.
Step 6: Shawn moves to the lounge.
Step 7: Robert leaves the room he was in.
Step 8: Shawn moves to the kitchen, and moves the mini comb to the kitchen's ledge.
Step 9: Robert enters the lounge.
Step 10: Shawn leaves the room he was in.
Step 11: Robert moves to the kitchen.
Step 12: Shawn enters the lounge.
Step 13: Robert moves to the lounge, and moves the pocket mirror to the lounge's ledge.
Step 14: Shawn moves the pocket mirror to the lounge's sideboard.
Step 15: Robert leaves the room he was in.
Step 16: Shawn moves to the kitchen, and moves the pocket mirror to the kitchen's ledge.
Step 17: Robert enters the lounge.
Step 18: Shawn moves to the lounge.
Step 19: Robert moves to the kitchen.
Step 20: Robert moves to the lounge.
Step 21: Robert moves to the kitchen.
Step 22: Robert leaves the room he was in.
Step 23: Robert enters the kitchen.
Step 24: Shawn moves to the kitchen.
Step 25: Robert moves to the lounge, and moves the mini comb to the lounge's ledge.
Step 26: Shawn moves to the lounge.
Step 27: Robert leaves the room he was in.
Step 28: Shawn moves to the kitchen, and moves the mini comb to the kitchen's sideboard.
Step 29: Robert enters the lounge.
Step 30: Shawn moves to the lounge.
Step 31: Robert moves to the kitchen.
Step 32: Shawn moves to the kitchen.
Step 33: Robert leaves the room he was in.
Step 34: Shawn moves to the lounge, and moves the mini comb to the lounge's ledge.
Step 35: Robert enters the lounge.
Step 36: Shawn moves to the kitchen.
Step 37: Robert moves to the kitchen.
Step 38: Shawn moves to the lounge.
Step 39: Robert moves to the lounge.
Step 40: Shawn moves the mini comb to the lounge's sideboard.

[QUESTION]
Where does Shawn believe the pocket mirror is?

[YOUR ANSWER]

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

Question: Where does Shawn believe the pocket mirror is?

Agents: [Robert, Shawn].
Objects: [the mini comb, the pocket mirror].
Rooms: [the kitchen, the lounge].
Containers: [the kitchen's ledge, the kitchen's sideboard, the lounge's ledge, the lounge's sideboard]


[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: Austin is in the balcony; Gwendolyn is in the library; the feather is on the balcony's tv stand; the safety pin is on the balcony's buffet.
Step 1: Austin moves the safety pin to the balcony's tv stand.
Step 2: Gwendolyn moves to the balcony.
Step 3: Austin moves to the library.
Step 4: Gwendolyn moves to the library.
Step 5: Austin moves to the balcony.
Step 6: Austin moves the feather to the balcony's buffet.
Step 7: Austin leaves the room he was in.
Step 8: Gwendolyn moves to the balcony.
Step 9: Austin enters the library.
Step 10: Gwendolyn moves the safety pin to the balcony's buffet.
Step 11: Austin moves to the balcony.
Step 12: Gwendolyn leaves the room he was in.
Step 13: Austin leaves the room he was in.
Step 14: Gwendolyn enters the balcony.
Step 15: Austin enters the library.
Step 16: Gwendolyn leaves the room he was in.
Step 17: Austin moves to the balcony.
Step 18: Gwendolyn enters the library.
Step 19: Austin moves to the library.
Step 20: Gwendolyn moves to the balcony.
Step 21: Gwendolyn moves to the library, and moves the feather to the library's tv stand.
Step 22: Gwendolyn leaves the room he was in.
Step 23: Austin moves to the balcony.
Step 24: Gwendolyn enters the balcony.
Step 25: Austin moves to the library.
Step 26: Gwendolyn leaves the room he was in.
Step 27: Austin moves to the balcony, and moves the feather to the balcony's buffet.
Step 28: Gwendolyn enters the balcony.
Step 29: Austin moves to the library, and moves the safety pin to the library's tv stand.
Step 30: Gwendolyn moves to the library.
Step 31: Austin moves to the balcony, and moves the safety pin to the balcony's tv stand.
Step 32: Austin moves the feather to the balcony's tv stand.
Step 33: Austin moves to the library.
Step 34: Gwendolyn moves to the balcony.
Step 35: Austin moves to the balcony.
Step 36: Gwendolyn moves the safety pin to the balcony's buffet.
Step 37: Austin moves to the library.
Step 38: Gwendolyn leaves the room he was in.
Step 39: Austin moves to the balcony.
Step 40: Gwendolyn enters the library.

[QUESTION]
Where does Gwendolyn believe the feather is?

[YOUR ANSWER]

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

Question: Where does Gwendolyn believe the feather is?

Agents: [Austin, Gwendolyn].
Objects: [the feather, the safety pin].
Rooms: [the library, the balcony].
Containers: [the library's tv stand, the library's buffet, the balcony's tv stand, the balcony's buffet]


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

[QUESTION]
Where does Savannah believe the pebble is?

[YOUR ANSWER]

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

Question: Where does Savannah believe the pebble is?

Agents: [Ryan, Savannah].
Objects: [the pebble, the knife].
Rooms: [the lounge, the mudroom].
Containers: [the lounge's coffee table, the lounge's desk, the mudroom's coffee table, the mudroom's desk]