You are a chemist. Please follow the instructions to convert the structure to the corresponding name.
system
5-[4-[2-[4-(3,4,4a,5,6,9a-hexahydrocarbazol-9-yl)cyclohexa-1,5-dien-1-yl]-2-adamantyl]cyclohexa-1,5-dien-1-yl]-1,2-dihydropyrido[4,3-b]indole is the IUPAC name of a molecule. Please give its molecular formula.
user
C45H49N3
assistant