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: Sara Olsvig, Danish krone, Aleqa Hammond, Christiansborg Palace, Qullissat, Henrik  Prince of Denmark, Kuupik Kleist, Kim Kielsen, Folketing, Greenland, Romain Brégerie, Inuit Ataqatigiit, Talence, Margrethe II of Denmark, Lars Emil Johansen
- The relationships between these entities are as follows:
 - Sara Olsvig is connected to Kuupik Kleist via the relationship successor.
 - Sara Olsvig is connected to Inuit Ataqatigiit via the relationship party.
 - Sara Olsvig is connected to Greenland via the relationship birthPlace.
 - Danish krone is connected to Greenland via the relationship currency.
 - Aleqa Hammond is connected to Margrethe II of Denmark via the relationship monarch.
 - Aleqa Hammond is connected to Kim Kielsen via the relationship predecessor.
 - Aleqa Hammond is connected to Greenland via the relationship birthPlace.
 - Aleqa Hammond is connected to Kuupik Kleist via the relationship predecessor.
 - Christiansborg Palace is connected to Folketing via the relationship location.
 - Qullissat is connected to Kuupik Kleist via the relationship birthPlace.
 - Qullissat is connected to Greenland via the relationship isPartOf.
 - Henrik  Prince of Denmark is connected to Margrethe II of Denmark via the relationship spouse.
 - Henrik  Prince of Denmark is connected to Talence via the relationship birthPlace.
 - Kuupik Kleist is connected to Lars Emil Johansen via the relationship primeMinister.
 - Kuupik Kleist is connected to Greenland via the relationship birthPlace.
 - Kuupik Kleist is connected to Margrethe II of Denmark via the relationship monarch.
 - Kuupik Kleist is connected to Inuit Ataqatigiit via the relationship party.
 - Kim Kielsen is connected to Greenland via the relationship nationality.
 - Kim Kielsen is connected to Margrethe II of Denmark via the relationship monarch.
 - Folketing is connected to Inuit Ataqatigiit via the relationship politicalPartyInLegislature.
 - Greenland is connected to Inuit Ataqatigiit via the relationship country.
 - Greenland is connected to Margrethe II of Denmark via the relationship leader.
 - Greenland is connected to Lars Emil Johansen via the relationship leader.
 - Romain Brégerie is connected to Talence via the relationship birthPlace.
 - Margrethe II of Denmark is connected to Lars Emil Johansen via the relationship monarch.
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": "Sara Olsvig", "id": 273216}, {"name": "Danish krone", "id": 666145}, {"name": "Christiansborg Palace", "id": 37763}, {"name": "Qullissat", "id": 1039525}, {"name": "Henrik  Prince of Denmark", "id": 752871}, {"name": "Talence", "id": 730489}, {"name": "Kuupik Kleist", "id": 571146}, {"name": "Kim Kielsen", "id": 634382}, {"name": "Folketing", "id": 800590}, {"name": "Greenland", "id": 69204}, {"name": "Romain Br\u00e9gerie", "id": 340085}, {"name": "Inuit Ataqatigiit", "id": 478775}, {"name": "Aleqa Hammond", "id": 820377}, {"name": "Margrethe II of Denmark", "id": 147290}, {"name": "Lars Emil Johansen", "id": 448283}], "links": [{"relation": "successor", "source": 273216, "target": 571146}, {"relation": "party", "source": 273216, "target": 478775}, {"relation": "birthPlace", "source": 273216, "target": 69204}, {"relation": "currency", "source": 666145, "target": 69204}, {"relation": "location", "source": 37763, "target": 800590}, {"relation": "birthPlace", "source": 1039525, "target": 571146}, {"relation": "isPartOf", "source": 1039525, "target": 69204}, {"relation": "spouse", "source": 752871, "target": 147290}, {"relation": "birthPlace", "source": 752871, "target": 730489}, {"relation": "birthPlace", "source": 730489, "target": 340085}, {"relation": "primeMinister", "source": 571146, "target": 448283}, {"relation": "birthPlace", "source": 571146, "target": 69204}, {"relation": "monarch", "source": 571146, "target": 147290}, {"relation": "party", "source": 571146, "target": 478775}, {"relation": "predecessor", "source": 571146, "target": 820377}, {"relation": "nationality", "source": 634382, "target": 69204}, {"relation": "predecessor", "source": 634382, "target": 820377}, {"relation": "monarch", "source": 634382, "target": 147290}, {"relation": "politicalPartyInLegislature", "source": 800590, "target": 478775}, {"relation": "country", "source": 69204, "target": 478775}, {"relation": "leader", "source": 69204, "target": 147290}, {"relation": "birthPlace", "source": 69204, "target": 820377}, {"relation": "leader", "source": 69204, "target": 448283}, {"relation": "monarch", "source": 820377, "target": 147290}, {"relation": "monarch", "source": 147290, "target": 448283}]}
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: Sara Olsvig, Danish krone, Aleqa Hammond, Christiansborg Palace, Qullissat, Henrik  Prince of Denmark, Kuupik Kleist, Kim Kielsen, Folketing, Greenland, Romain Brégerie, Inuit Ataqatigiit, Talence, Margrethe II of Denmark, Lars Emil Johansen
- The relationships between these entities are as follows:
 - Sara Olsvig is connected to Kuupik Kleist via the relationship successor.
 - Sara Olsvig is connected to Inuit Ataqatigiit via the relationship party.
 - Sara Olsvig is connected to Greenland via the relationship birthPlace.
 - Danish krone is connected to Greenland via the relationship currency.
 - Aleqa Hammond is connected to Margrethe II of Denmark via the relationship monarch.
 - Aleqa Hammond is connected to Kim Kielsen via the relationship predecessor.
 - Aleqa Hammond is connected to Greenland via the relationship birthPlace.
 - Aleqa Hammond is connected to Kuupik Kleist via the relationship predecessor.
 - Christiansborg Palace is connected to Folketing via the relationship location.
 - Qullissat is connected to Kuupik Kleist via the relationship birthPlace.
 - Qullissat is connected to Greenland via the relationship isPartOf.
 - Henrik  Prince of Denmark is connected to Margrethe II of Denmark via the relationship spouse.
 - Henrik  Prince of Denmark is connected to Talence via the relationship birthPlace.
 - Kuupik Kleist is connected to Lars Emil Johansen via the relationship primeMinister.
 - Kuupik Kleist is connected to Greenland via the relationship birthPlace.
 - Kuupik Kleist is connected to Margrethe II of Denmark via the relationship monarch.
 - Kuupik Kleist is connected to Inuit Ataqatigiit via the relationship party.
 - Kim Kielsen is connected to Greenland via the relationship nationality.
 - Kim Kielsen is connected to Margrethe II of Denmark via the relationship monarch.
 - Folketing is connected to Inuit Ataqatigiit via the relationship politicalPartyInLegislature.
 - Greenland is connected to Inuit Ataqatigiit via the relationship country.
 - Greenland is connected to Margrethe II of Denmark via the relationship leader.
 - Greenland is connected to Lars Emil Johansen via the relationship leader.
 - Romain Brégerie is connected to Talence via the relationship birthPlace.
 - Margrethe II of Denmark is connected to Lars Emil Johansen via the relationship monarch.
Please determine the diameter of this network and output the corresponding path in the following format: [Entity1, Entity2, ..., EntityN].
test