You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:
<think>
[your reasoning process here]
</think>
<answer>
[your answer here]
</answer>
You can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.
system
You are required to calculate the diameter of an undirected knowledge graph.
The diameter of a graph is the maximum distance between any pair of nodes in the graph. To compute this, you need to find the shortest path between all pairs of nodes and then determine the maximum length of these shortest paths.

**Problem to Solve**

- Entities in this knowledge graph: Rogue River (Oregon), Roca Redonda, Mount Bailey (Oregon), Antarctica, Shield volcano, Lombenben, Shopko, Bely (volcano), Asa Lovejoy, Nyamuragira, Douglas County  Oregon, Alcedo Volcano, Oregon, Montana, Cascade Range, Zurn Peak, West Antarctica, Perry Range
- The relationships between these entities are as follows:
 - Rogue River (Oregon) is connected to Oregon via the relationship state.
 - Rogue River (Oregon) is connected to Cascade Range via the relationship sourceMountain.
 - Rogue River (Oregon) is connected to Douglas County  Oregon via the relationship district.
 - Roca Redonda is connected to Shield volcano via the relationship type.
 - Mount Bailey (Oregon) is connected to Oregon via the relationship locatedInArea.
 - Mount Bailey (Oregon) is connected to Shield volcano via the relationship type.
 - Mount Bailey (Oregon) is connected to Douglas County  Oregon via the relationship locatedInArea.
 - Mount Bailey (Oregon) is connected to Cascade Range via the relationship mountainRange.
 - Antarctica is connected to Zurn Peak via the relationship locatedInArea.
 - Antarctica is connected to Perry Range via the relationship location.
 - Shield volcano is connected to Alcedo Volcano via the relationship type.
 - Shield volcano is connected to Bely (volcano) via the relationship type.
 - Shield volcano is connected to Lombenben via the relationship type.
 - Shield volcano is connected to Nyamuragira via the relationship type.
 - Shield volcano is connected to Zurn Peak via the relationship type.
 - Shopko is connected to Montana via the relationship regionServed.
 - Shopko is connected to Oregon via the relationship regionServed.
 - Asa Lovejoy is connected to Oregon via the relationship deathPlace.
 - Douglas County  Oregon is connected to Oregon via the relationship state.
 - Zurn Peak is connected to West Antarctica via the relationship location.
 - West Antarctica is connected to Perry Range via the relationship location.
Please determine the diameter of this network and output the corresponding path in the following format: [Entity1, Entity2, ..., EntityN].
user
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"name": "Rogue River (Oregon)", "id": 58245}, {"name": "Roca Redonda", "id": 699238}, {"name": "Antarctica", "id": 967}, {"name": "Mount Bailey (Oregon)", "id": 360871}, {"name": "Shield volcano", "id": 28425}, {"name": "Lombenben", "id": 1078026}, {"name": "Shopko", "id": 146887}, {"name": "Bely (volcano)", "id": 683301}, {"name": "Cascade Range", "id": 156343}, {"name": "Asa Lovejoy", "id": 992911}, {"name": "Nyamuragira", "id": 552177}, {"name": "Alcedo Volcano", "id": 438452}, {"name": "Oregon", "id": 10804}, {"name": "Montana", "id": 73940}, {"name": "Douglas County  Oregon", "id": 86967}, {"name": "Zurn Peak", "id": 562137}, {"name": "West Antarctica", "id": 23034}, {"name": "Perry Range", "id": 1129567}], "links": [{"relation": "state", "source": 58245, "target": 10804}, {"relation": "sourceMountain", "source": 58245, "target": 156343}, {"relation": "district", "source": 58245, "target": 86967}, {"relation": "type", "source": 699238, "target": 28425}, {"relation": "locatedInArea", "source": 967, "target": 562137}, {"relation": "location", "source": 967, "target": 1129567}, {"relation": "locatedInArea", "source": 360871, "target": 10804}, {"relation": "type", "source": 360871, "target": 28425}, {"relation": "locatedInArea", "source": 360871, "target": 86967}, {"relation": "mountainRange", "source": 360871, "target": 156343}, {"relation": "type", "source": 28425, "target": 438452}, {"relation": "type", "source": 28425, "target": 683301}, {"relation": "type", "source": 28425, "target": 1078026}, {"relation": "type", "source": 28425, "target": 552177}, {"relation": "type", "source": 28425, "target": 562137}, {"relation": "regionServed", "source": 146887, "target": 73940}, {"relation": "regionServed", "source": 146887, "target": 10804}, {"relation": "deathPlace", "source": 992911, "target": 10804}, {"relation": "state", "source": 10804, "target": 86967}, {"relation": "location", "source": 562137, "target": 23034}, {"relation": "location", "source": 23034, "target": 1129567}]}
You are required to calculate the diameter of an undirected knowledge graph.
The diameter of a graph is the maximum distance between any pair of nodes in the graph. To compute this, you need to find the shortest path between all pairs of nodes and then determine the maximum length of these shortest paths.

**Problem to Solve**

- Entities in this knowledge graph: Rogue River (Oregon), Roca Redonda, Mount Bailey (Oregon), Antarctica, Shield volcano, Lombenben, Shopko, Bely (volcano), Asa Lovejoy, Nyamuragira, Douglas County  Oregon, Alcedo Volcano, Oregon, Montana, Cascade Range, Zurn Peak, West Antarctica, Perry Range
- The relationships between these entities are as follows:
 - Rogue River (Oregon) is connected to Oregon via the relationship state.
 - Rogue River (Oregon) is connected to Cascade Range via the relationship sourceMountain.
 - Rogue River (Oregon) is connected to Douglas County  Oregon via the relationship district.
 - Roca Redonda is connected to Shield volcano via the relationship type.
 - Mount Bailey (Oregon) is connected to Oregon via the relationship locatedInArea.
 - Mount Bailey (Oregon) is connected to Shield volcano via the relationship type.
 - Mount Bailey (Oregon) is connected to Douglas County  Oregon via the relationship locatedInArea.
 - Mount Bailey (Oregon) is connected to Cascade Range via the relationship mountainRange.
 - Antarctica is connected to Zurn Peak via the relationship locatedInArea.
 - Antarctica is connected to Perry Range via the relationship location.
 - Shield volcano is connected to Alcedo Volcano via the relationship type.
 - Shield volcano is connected to Bely (volcano) via the relationship type.
 - Shield volcano is connected to Lombenben via the relationship type.
 - Shield volcano is connected to Nyamuragira via the relationship type.
 - Shield volcano is connected to Zurn Peak via the relationship type.
 - Shopko is connected to Montana via the relationship regionServed.
 - Shopko is connected to Oregon via the relationship regionServed.
 - Asa Lovejoy is connected to Oregon via the relationship deathPlace.
 - Douglas County  Oregon is connected to Oregon via the relationship state.
 - Zurn Peak is connected to West Antarctica via the relationship location.
 - West Antarctica is connected to Perry Range via the relationship location.
Please determine the diameter of this network and output the corresponding path in the following format: [Entity1, Entity2, ..., EntityN].
test