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Adon Smith House is a historic home located at Hamilton in Madison County , New York .
 location: Hamilton; location: Madison County , New York
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Hamilton, Madison County , New York 
Answer:
 location: Hamilton; location: Madison County , New York