Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Consider the problem of finding a point in an n  -point metric space with the minimum average distance to all points.  show that this problem has no deterministic o(n2)o(n2)-query (4−ϵ)(4−ϵ)-approximation algorithms for any constant ϵ>0ϵ>0.
['Ching-Lueh Chang']
I am writing a research paper on a idea A lower bound for metric 1-median selection
[{"from": "human", "value": "I am writing a research paper on a idea A lower bound for metric 1-median selection"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Consider the problem of finding a point in an n \u00a0-point metric space with the minimum average distance to all points.  show that this problem has no deterministic o(n2)o(n2)-query (4\u2212\u03f5)(4\u2212\u03f5)-approximation algorithms for any constant \u03f5>0\u03f5>0."}]